/* Generated by Cython 0.29.21 */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.6+ or Python 3.3+.
#else
#define CYTHON_ABI "0_29_21"
#define CYTHON_HEX_VERSION 0x001D15F0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #if PY_VERSION_HEX >= 0x02070000
    #define HAVE_LONG_LONG
  #endif
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
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  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
    #define CYTHON_USE_PYTYPE_LOOKUP 1
  #endif
  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
  #endif
  #ifndef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
  #endif
  #ifndef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #undef SHIFT
  #undef BASE
  #undef MASK
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned char     uint8_t;
           typedef unsigned int      uint32_t;
        #else
           typedef unsigned __int8   uint8_t;
           typedef unsigned __int32  uint32_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __cplusplus >= 201103L
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
    #elif __has_cpp_attribute(gnu::fallthrough)
      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__ ) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
#endif
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyClass_Type
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
  #define __Pyx_DefaultClassType PyType_Type
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
#else
#define __Pyx_PyFastCFunction_Check(func) 0
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
  #define PyMem_RawFree(p)             PyMem_Free(p)
#endif
#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
#else
#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
#endif
#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__pycraf__pathprof__cyprop
#define __PYX_HAVE_API__pycraf__pathprof__cyprop
/* Early includes */
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include <omp.h>
#include <math.h>
#include "pythread.h"
#include "pystate.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "pycraf/pathprof/cyprop.pyx",
  "stringsource",
  "__init__.pxd",
  "type.pxd",
};
/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":775
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":776
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":777
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":778
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":782
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":783
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":784
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":785
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":789
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":790
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":799
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":800
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":801
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":803
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":804
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":805
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":807
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":808
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":810
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":811
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":812
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp;
struct __pyx_obj___Pyx_EnumMeta;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":814
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":815
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":816
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../usr/share/miniconda/envs/pycraf-env/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":818
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct;
struct __pyx_ctuple_double__and_double;
typedef struct __pyx_ctuple_double__and_double __pyx_ctuple_double__and_double;
struct __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc;
typedef struct __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc;
struct __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc;
typedef struct __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc;
struct __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc;
typedef struct __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc;
struct __pyx_ctuple_double__and_double__and_double;
typedef struct __pyx_ctuple_double__and_double__and_double __pyx_ctuple_double__and_double__and_double;
struct __pyx_ctuple_double__and_double__and_double__and_double__and_double;
typedef struct __pyx_ctuple_double__and_double__and_double__and_double__and_double __pyx_ctuple_double__and_double__and_double__and_double__and_double;
struct __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc;
typedef struct __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc;

/* "pycraf/pathprof/cyprop.pyx":44
 * cdef double RAD2DEG = 180 / M_PI
 * 
 * cpdef enum CLUTTER:             # <<<<<<<<<<<<<<
 *     UNKNOWN = -1
 *     SPARSE = 0
 */
enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER {
  __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN = -1L,
  __pyx_e_6pycraf_8pathprof_6cyprop_SPARSE = 0,
  __pyx_e_6pycraf_8pathprof_6cyprop_VILLAGE = 1,
  __pyx_e_6pycraf_8pathprof_6cyprop_DECIDIOUS_TREES = 2,
  __pyx_e_6pycraf_8pathprof_6cyprop_CONIFEROUS_TREES = 3,
  __pyx_e_6pycraf_8pathprof_6cyprop_TROPICAL_FOREST = 4,
  __pyx_e_6pycraf_8pathprof_6cyprop_SUBURBAN = 5,
  __pyx_e_6pycraf_8pathprof_6cyprop_DENSE_SUBURBAN = 6,
  __pyx_e_6pycraf_8pathprof_6cyprop_URBAN = 7,
  __pyx_e_6pycraf_8pathprof_6cyprop_DENSE_URBAN = 8,
  __pyx_e_6pycraf_8pathprof_6cyprop_HIGH_URBAN = 9,
  __pyx_e_6pycraf_8pathprof_6cyprop_INDUSTRIAL_ZONE = 10
};

/* "pycraf/pathprof/cyprop.pyx":220
 * # cdef object PARAMETERS_V16_V = PARAMETERS_V16
 * 
 * cdef struct ppstruct:             # <<<<<<<<<<<<<<
 *     int version  # P.452 version (14 or 16)
 *     double freq  # GHz
 */
struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct {
  int version;
  double freq;
  double wavelen;
  int polarization;
  double temperature;
  double pressure;
  double time_percent;
  double beta0;
  double omega;
  double lon_t;
  double lat_t;
  double lon_r;
  double lat_r;
  double lon_mid;
  double lat_mid;
  double delta_N;
  double N0;
  double distance;
  double bearing;
  double back_bearing;
  double hprof_step;
  int zone_t;
  int zone_r;
  double h_tg;
  double h_rg;
  double h_tg_in;
  double h_rg_in;
  double h0;
  double hn;
  double h_ts;
  double h_rs;
  double h_st;
  double h_sr;
  double h_std;
  double h_srd;
  double h_te;
  double h_re;
  double d_lm;
  double d_tm;
  double d_ct;
  double d_cr;
  int path_type;
  double theta_t;
  double theta_r;
  double alpha_tr;
  double alpha_rt;
  double eps_pt;
  double eps_pr;
  double theta;
  double d_lt;
  double d_lr;
  double h_m;
  double duct_slope;
  double a_e_50;
  double a_e_b0;
  int path_type_50;
  double d_bp_50;
  double h_bp_50;
  double h_eff_50;
  double nu_bull_50;
  int nu_bull_idx_50;
  double S_tim_50;
  double S_rim_50;
  double S_tr_50;
  int path_type_b0;
  double d_bp_b0;
  double h_bp_b0;
  double h_eff_b0;
  double nu_bull_b0;
  int nu_bull_idx_b0;
  double S_tim_b0;
  double S_rim_b0;
  double S_tr_b0;
  int path_type_zh_50;
  double d_bp_zh_50;
  double h_bp_zh_50;
  double h_eff_zh_50;
  double nu_bull_zh_50;
  int nu_bull_idx_zh_50;
  double S_tim_zh_50;
  double S_rim_zh_50;
  double S_tr_zh_50;
  int path_type_zh_b0;
  double d_bp_zh_b0;
  double h_bp_zh_b0;
  double h_eff_zh_b0;
  double nu_bull_zh_b0;
  int nu_bull_idx_zh_b0;
  double S_tim_zh_b0;
  double S_rim_zh_b0;
  double S_tr_zh_b0;
  double zeta_m;
  double d_m50;
  double h_m50;
  double heff_m50;
  double nu_m50;
  double nu_mbeta;
  int i_m50;
  double zeta_t;
  double d_t50;
  double h_t50;
  double heff_t50;
  double nu_t50;
  double nu_tbeta;
  int i_t50;
  double zeta_r;
  double d_r50;
  double h_r50;
  double heff_r50;
  double nu_r50;
  double nu_rbeta;
  int i_r50;
};

/* "pycraf/pathprof/cyprop.pyx":754
 * 
 * 
 * cdef (double, double) _smooth_earth_heights(             # <<<<<<<<<<<<<<
 *         double distance,
 *         double[::1] d_v,
 */
struct __pyx_ctuple_double__and_double {
  double f0;
  double f1;
};

/* "pycraf/pathprof/cyprop.pyx":843
 * 
 * 
 * cdef (             # <<<<<<<<<<<<<<
 *     int, double, double, double, double, int, double, double, double
 *     ) _diffraction_helper_v16(
 */
struct __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc {
  int f0;
  double f1;
  double f2;
  double f3;
  double f4;
  int f5;
  double f6;
  double f7;
  double f8;
};

/* "pycraf/pathprof/cyprop.pyx":942
 * 
 * 
 * cdef (             # <<<<<<<<<<<<<<
 *         double, int, double, double, double, double, double,
 *         double, int, double, double, double, double, double,
 */
struct __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc {
  double f0;
  int f1;
  double f2;
  double f3;
  double f4;
  double f5;
  double f6;
  double f7;
  int f8;
  double f9;
  double f10;
  double f11;
  double f12;
  double f13;
  double f14;
  int f15;
  double f16;
  double f17;
  double f18;
  double f19;
  double f20;
};

/* "pycraf/pathprof/cyprop.pyx":1108
 * 
 * 
 * cdef (int, double, double, double, double, double, double, double, double) _path_geometry_helper(             # <<<<<<<<<<<<<<
 *         double a_e,
 *         double distance,
 */
struct __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc {
  int f0;
  double f1;
  double f2;
  double f3;
  double f4;
  double f5;
  double f6;
  double f7;
  double f8;
};

/* "pycraf/pathprof/cyprop.pyx":1217
 * 
 * 
 * cdef (double, double, double) _free_space_loss_bfsg(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         ) nogil:
 */
struct __pyx_ctuple_double__and_double__and_double {
  double f0;
  double f1;
  double f2;
};

/* "pycraf/pathprof/cyprop.pyx":1742
 * 
 * 
 * cdef (double, double, double, double, double) _diffraction_loss_complete(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         ) nogil:
 */
struct __pyx_ctuple_double__and_double__and_double__and_double__and_double {
  double f0;
  double f1;
  double f2;
  double f3;
  double f4;
};

/* "pycraf/pathprof/cyprop.pyx":1836
 * 
 * 
 * cdef (double, double, double, double, double, double, double) _path_attenuation_complete(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         double G_t, double G_r,
 */
struct __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc {
  double f0;
  double f1;
  double f2;
  double f3;
  double f4;
  double f5;
  double f6;
};

/* "pycraf/pathprof/cyprop.pyx":373
 * 
 * 
 * cdef class _PathProp(object):             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp {
  PyObject_HEAD
  struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct _pp;
};


/* "EnumBase":15
 * 
 * @cython.internal
 * cdef class __Pyx_EnumMeta(type):             # <<<<<<<<<<<<<<
 *     def __init__(cls, name, parents, dct):
 *         type.__init__(cls, name, parents, dct)
 */
struct __pyx_obj___Pyx_EnumMeta {
  PyHeapTypeObject __pyx_base;
};


/* "View.MemoryView":105
 * 
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
struct __pyx_array_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_array *__pyx_vtab;
  char *data;
  Py_ssize_t len;
  char *format;
  int ndim;
  Py_ssize_t *_shape;
  Py_ssize_t *_strides;
  Py_ssize_t itemsize;
  PyObject *mode;
  PyObject *_format;
  void (*callback_free_data)(void *);
  int free_data;
  int dtype_is_object;
};


/* "View.MemoryView":279
 * 
 * @cname('__pyx_MemviewEnum')
 * cdef class Enum(object):             # <<<<<<<<<<<<<<
 *     cdef object name
 *     def __init__(self, name):
 */
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":330
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview(object):             # <<<<<<<<<<<<<<
 * 
 *     cdef object obj
 */
struct __pyx_memoryview_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
  PyObject *obj;
  PyObject *_size;
  PyObject *_array_interface;
  PyThread_type_lock lock;
  __pyx_atomic_int acquisition_count[2];
  __pyx_atomic_int *acquisition_count_aligned_p;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo *typeinfo;
};


/* "View.MemoryView":965
 * 
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
 *     "Internal class for passing memoryview slices to Python"
 * 
 */
struct __pyx_memoryviewslice_obj {
  struct __pyx_memoryview_obj __pyx_base;
  __Pyx_memviewslice from_slice;
  PyObject *from_object;
  PyObject *(*to_object_func)(char *);
  int (*to_dtype_func)(char *, PyObject *);
};



/* "View.MemoryView":105
 * 
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */

struct __pyx_vtabstruct_array {
  PyObject *(*get_memview)(struct __pyx_array_obj *);
};
static struct __pyx_vtabstruct_array *__pyx_vtabptr_array;


/* "View.MemoryView":330
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview(object):             # <<<<<<<<<<<<<<
 * 
 *     cdef object obj
 */

struct __pyx_vtabstruct_memoryview {
  char *(*get_item_pointer)(struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*is_slice)(struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*setitem_slice_assignment)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*setitem_slice_assign_scalar)(struct __pyx_memoryview_obj *, struct __pyx_memoryview_obj *, PyObject *);
  PyObject *(*setitem_indexed)(struct __pyx_memoryview_obj *, PyObject *, PyObject *);
  PyObject *(*convert_item_to_object)(struct __pyx_memoryview_obj *, char *);
  PyObject *(*assign_item_from_object)(struct __pyx_memoryview_obj *, char *, PyObject *);
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static struct __pyx_vtabstruct_memoryview *__pyx_vtabptr_memoryview;


/* "View.MemoryView":965
 * 
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
 *     "Internal class for passing memoryview slices to Python"
 * 
 */

struct __pyx_vtabstruct__memoryviewslice {
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};
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/* GetBuiltinName.proto */
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/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
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/* None.proto */
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/* PyDictVersioning.proto */
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#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
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#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
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/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
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#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
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#ifndef Py_MEMBER_SIZE
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static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
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static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
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#define __Pyx_MEMVIEW_DIRECT   1
#define __Pyx_MEMVIEW_PTR      2
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#define __Pyx_MEMVIEW_CONTIG   8
#define __Pyx_MEMVIEW_STRIDED  16
#define __Pyx_MEMVIEW_FOLLOW   32
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static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
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static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* IncludeStringH.proto */
#include <string.h>

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* UnaryNegOverflows.proto */
#define UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* Globals.proto */
static PyObject* __Pyx_Globals(void);

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
#endif


/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);

/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);

/* Capsule.proto */
static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct;
static PyObject* __pyx_convert__to_py_struct____pyx_t_6pycraf_8pathprof_6cyprop_ppstruct(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct s);
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double__and_double(__pyx_ctuple_double__and_double__and_double);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double__and_double__and_double__and_double(__pyx_ctuple_double__and_double__and_double__and_double__and_double);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc(__pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_double(const char *itemp, PyObject *obj);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj);

/* ToPyCTupleUtility.proto */
static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double(__pyx_ctuple_double__and_double);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

/* MemviewSliceCopyTemplate.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum____pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER value);

/* TypeInfoCompare.proto */
static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);

/* MemviewSliceValidateAndInit.proto */
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_double(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_float64_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_float64_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_double(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_double(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_int(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_int(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *, int writable_flag);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

/* Module declarations from 'cython.view' */

/* Module declarations from 'cython' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdlib' */

/* Module declarations from 'cpython.buffer' */

/* Module declarations from 'libc.stdio' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython' */

/* Module declarations from 'cpython.object' */

/* Module declarations from 'cpython.ref' */

/* Module declarations from 'cpython.mem' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/

/* Module declarations from 'openmp' */

/* Module declarations from 'libc.math' */

/* Module declarations from 'pycraf.pathprof.cyprop' */
static PyTypeObject *__pyx_ptype_6pycraf_8pathprof_6cyprop__PathProp = 0;
static PyTypeObject *__pyx_ptype___Pyx_EnumMeta = 0;
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 0;
static double __pyx_v_6pycraf_8pathprof_6cyprop_NAN;
static double __pyx_v_6pycraf_8pathprof_6cyprop_DEG2RAD;
static double __pyx_v_6pycraf_8pathprof_6cyprop_RAD2DEG;
static __Pyx_memviewslice __pyx_v_6pycraf_8pathprof_6cyprop_CLUTTER_DATA_V = { 0, 0, { 0 }, { 0 }, { 0 } };
static PyObject *__Pyx_OrderedDict = 0;
static PyObject *__Pyx_EnumBase = 0;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static PyObject *__Pyx_globals = 0;
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop_f_max(double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__beta_from_DN_N0(double, double, double, double, double); /*proto*/
static void __pyx_f_6pycraf_8pathprof_6cyprop__process_path(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct *, __Pyx_memviewslice, __Pyx_memviewslice, __Pyx_memviewslice); /*proto*/
static __pyx_ctuple_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__smooth_earth_heights(double, __Pyx_memviewslice, __Pyx_memviewslice); /*proto*/
static __pyx_ctuple_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__effective_antenna_heights(double, __Pyx_memviewslice, __Pyx_memviewslice, double, double, double, double); /*proto*/
static __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v16(double, double, __Pyx_memviewslice, __Pyx_memviewslice, double, double, double); /*proto*/
static __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v14(double, double, double, __Pyx_memviewslice, __Pyx_memviewslice, double, double, double); /*proto*/
static __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__path_geometry_helper(double, double, __Pyx_memviewslice, __Pyx_memviewslice, double, double, double, int, double); /*proto*/
static __pyx_ctuple_double__and_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__free_space_loss_bfsg(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__tropospheric_scatter_loss_bs(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct, double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__ducting_loss_ba(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__J_edgeknife(double); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_deygout_helper(double, double, double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_bullington_helper(double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_G_helper(double, double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_helper(double, double, double, double, double, int, double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__L_dft(double, double, double, double, double, double, int); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_spherical_earth_loss_helper(double, double, double, double, double, double, int); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__delta_bullington_loss(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct, int); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__I_helper(double); /*proto*/
static __pyx_ctuple_double__and_double__and_double__and_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_loss_complete(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct); /*proto*/
static __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__path_attenuation_complete(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct, double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop__clutter_correction(double, int, double); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(double, double, double, double, double, double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__g_helper(double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper1(double, double, double, double, double, double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(double, double, double, double, double, double, double); /*proto*/
static __pyx_ctuple_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__specific_attenuation_annex2(double, double, double, double); /*proto*/
static double __pyx_f_6pycraf_8pathprof_6cyprop_true_angular_distance(double, double, double, double); /*proto*/
static PyObject *__pyx_unpickle___Pyx_EnumMeta__set_state(struct __pyx_obj___Pyx_EnumMeta *, PyObject *); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_int = { "int", NULL, sizeof(int), { 0 }, 0, IS_UNSIGNED(int) ? 'U' : 'I', IS_UNSIGNED(int), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t = { "float64_t", NULL, sizeof(__pyx_t_5numpy_float64_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t = { "int32_t", NULL, sizeof(__pyx_t_5numpy_int32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int32_t), 0 };
#define __Pyx_MODULE_NAME "pycraf.pathprof.cyprop"
extern int __pyx_module_is_main_pycraf__pathprof__cyprop;
int __pyx_module_is_main_pycraf__pathprof__cyprop = 0;

/* Implementation of 'pycraf.pathprof.cyprop' */
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_max;
static PyObject *__pyx_builtin_min;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_C[] = "C";
static const char __pyx_k_K[] = "K";
static const char __pyx_k_O[] = "O";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_v[] = "v";
static const char __pyx_k_DN[] = "DN";
static const char __pyx_k_N0[] = "N0";
static const char __pyx_k_cf[] = "_cf";
static const char __pyx_k_h0[] = "h0";
static const char __pyx_k_hn[] = "hn";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_it[] = "it";
static const char __pyx_k_km[] = "km";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_pi[] = "pi";
static const char __pyx_k_pp[] = "pp";
static const char __pyx_k_xi[] = "xi";
static const char __pyx_k_yi[] = "yi";
static const char __pyx_k_12d[] = "12d";
static const char __pyx_k_GHz[] = "GHz";
static const char __pyx_k_G_r[] = "G_r";
static const char __pyx_k_G_t[] = "G_t";
static const char __pyx_k_L_b[] = "L_b";
static const char __pyx_k__35[] = "";
static const char __pyx_k__52[] = "_";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_apu[] = "apu";
static const char __pyx_k_cls[] = "cls";
static const char __pyx_k_cnv[] = "cnv";
static const char __pyx_k_dct[] = "dct";
static const char __pyx_k_deg[] = "deg";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_hPa[] = "hPa";
static const char __pyx_k_h_g[] = "h_g";
static const char __pyx_k_h_m[] = "h_m";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_nan[] = "nan";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_out[] = "out";
static const char __pyx_k_res[] = "res";
static const char __pyx_k_s_s[] = "%s.%s";
static const char __pyx_k_str[] = "__str__";
static const char __pyx_k_L_ba[] = "L_ba";
static const char __pyx_k_L_bd[] = "L_bd";
static const char __pyx_k_L_bs[] = "L_bs";
static const char __pyx_k_N0_2[] = "_N0";
static const char __pyx_k_N0_v[] = "N0_v";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_bidx[] = "bidx";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_d_cr[] = "d_cr";
static const char __pyx_k_d_ct[] = "d_ct";
static const char __pyx_k_d_lm[] = "d_lm";
static const char __pyx_k_d_lr[] = "d_lr";
static const char __pyx_k_d_lt[] = "d_lt";
static const char __pyx_k_d_tm[] = "d_tm";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_didx[] = "didx";
static const char __pyx_k_eidx[] = "eidx";
static const char __pyx_k_enum[] = "enum";
static const char __pyx_k_freq[] = "freq";
static const char __pyx_k_full[] = "full";
static const char __pyx_k_h_re[] = "h_re";
static const char __pyx_k_h_rg[] = "h_rg";
static const char __pyx_k_h_rs[] = "h_rs";
static const char __pyx_k_h_sr[] = "h_sr";
static const char __pyx_k_h_st[] = "h_st";
static const char __pyx_k_h_te[] = "h_te";
static const char __pyx_k_h_tg[] = "h_tg";
static const char __pyx_k_h_ts[] = "h_ts";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_lats[] = "_lats";
static const char __pyx_k_lons[] = "_lons";
static const char __pyx_k_m_km[] = "m / km";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_mrad[] = "mrad";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_refx[] = "refx";
static const char __pyx_k_refy[] = "refy";
static const char __pyx_k_repr[] = "__repr__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_srtm[] = "srtm";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_temp[] = "_temp";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_xidx[] = "xidx";
static const char __pyx_k_xlen[] = "xlen";
static const char __pyx_k_yidx[] = "yidx";
static const char __pyx_k_ylen[] = "ylen";
static const char __pyx_k_zone[] = "zone";
static const char __pyx_k_12_6f[] = "12.6f";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_G_r_2[] = "_G_r";
static const char __pyx_k_G_t_2[] = "_G_t";
static const char __pyx_k_L_b0p[] = "L_b0p";
static const char __pyx_k_L_b_2[] = "_L_b";
static const char __pyx_k_URBAN[] = "URBAN";
static const char __pyx_k_all_2[] = "__all__";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_beta0[] = "beta0";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_d_m50[] = "d_m50";
static const char __pyx_k_d_r50[] = "d_r50";
static const char __pyx_k_d_t50[] = "d_t50";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_h_m50[] = "h_m50";
static const char __pyx_k_h_r50[] = "h_r50";
static const char __pyx_k_h_srd[] = "h_srd";
static const char __pyx_k_h_std[] = "h_std";
static const char __pyx_k_h_t50[] = "h_t50";
static const char __pyx_k_hsize[] = "hsize";
static const char __pyx_k_i_m50[] = "i_m50";
static const char __pyx_k_i_r50[] = "i_r50";
static const char __pyx_k_i_t50[] = "i_t50";
static const char __pyx_k_int32[] = "int32";
static const char __pyx_k_lat_r[] = "lat_r";
static const char __pyx_k_lat_t[] = "lat_t";
static const char __pyx_k_lon_r[] = "lon_r";
static const char __pyx_k_lon_t[] = "lon_t";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_omega[] = "omega";
static const char __pyx_k_order[] = "order";
static const char __pyx_k_pdist[] = "pdist";
static const char __pyx_k_press[] = "_press";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_reset[] = "reset";
static const char __pyx_k_s_s_d[] = "<%s.%s: %d>";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_theta[] = "theta";
static const char __pyx_k_units[] = "units";
static const char __pyx_k_utils[] = "utils";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_L_ba_2[] = "_L_ba";
static const char __pyx_k_L_bd_2[] = "_L_bd";
static const char __pyx_k_L_bs_2[] = "_L_bs";
static const char __pyx_k_N0_map[] = "N0_map";
static const char __pyx_k_SPARSE[] = "SPARSE";
static const char __pyx_k_a_e_50[] = "a_e_50";
static const char __pyx_k_a_e_b0[] = "a_e_b0";
static const char __pyx_k_arange[] = "arange";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_d_cr_2[] = "_d_cr";
static const char __pyx_k_d_cr_v[] = "d_cr_v";
static const char __pyx_k_d_ct_2[] = "_d_ct";
static const char __pyx_k_d_ct_v[] = "d_ct_v";
static const char __pyx_k_d_lm_2[] = "_d_lm";
static const char __pyx_k_d_lm_v[] = "d_lm_v";
static const char __pyx_k_d_lr_2[] = "_d_lr";
static const char __pyx_k_d_lt_2[] = "_d_lt";
static const char __pyx_k_d_tm_2[] = "_d_tm";
static const char __pyx_k_d_tm_v[] = "d_tm_v";
static const char __pyx_k_double[] = "double";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_eps_pr[] = "eps_pr";
static const char __pyx_k_eps_pt[] = "eps_pt";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_freq_2[] = "_freq";
static const char __pyx_k_h_rg_2[] = "_h_rg";
static const char __pyx_k_h_tg_2[] = "_h_tg";
static const char __pyx_k_helper[] = "helper";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_lats_2[] = "lats";
static const char __pyx_k_lons_2[] = "lons";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_nditer[] = "nditer";
static const char __pyx_k_nu_m50[] = "nu_m50";
static const char __pyx_k_nu_r50[] = "nu_r50";
static const char __pyx_k_nu_t50[] = "nu_t50";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_zeta_m[] = "zeta_m";
static const char __pyx_k_zeta_r[] = "zeta_r";
static const char __pyx_k_zeta_t[] = "zeta_t";
static const char __pyx_k_zone_r[] = "zone_r";
static const char __pyx_k_zone_t[] = "zone_t";
static const char __pyx_k_CLUTTER[] = "CLUTTER";
static const char __pyx_k_IntEnum[] = "IntEnum";
static const char __pyx_k_L_b0p_2[] = "_L_b0p";
static const char __pyx_k_L_dummy[] = "L_dummy";
static const char __pyx_k_S_tr_50[] = "S_tr_50";
static const char __pyx_k_S_tr_b0[] = "S_tr_b0";
static const char __pyx_k_UNKNOWN[] = "UNKNOWN";
static const char __pyx_k_VILLAGE[] = "VILLAGE";
static const char __pyx_k_astropy[] = "astropy";
static const char __pyx_k_bearing[] = "bearing";
static const char __pyx_k_beta0_v[] = "beta0_v";
static const char __pyx_k_d_bp_50[] = "d_bp_50";
static const char __pyx_k_d_bp_b0[] = "d_bp_b0";
static const char __pyx_k_degrees[] = "degrees";
static const char __pyx_k_delta_N[] = "delta_N";
static const char __pyx_k_dimless[] = "dimless";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_h_bp_50[] = "h_bp_50";
static const char __pyx_k_h_bp_b0[] = "h_bp_b0";
static const char __pyx_k_h_rg_in[] = "h_rg_in";
static const char __pyx_k_h_tg_in[] = "h_tg_in";
static const char __pyx_k_heights[] = "heights";
static const char __pyx_k_hgt_res[] = "hgt_res";
static const char __pyx_k_int_res[] = "int_res";
static const char __pyx_k_lat_mid[] = "lat_mid";
static const char __pyx_k_lon_mid[] = "lon_mid";
static const char __pyx_k_members[] = "__members__";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_mid_idx[] = "mid_idx";
static const char __pyx_k_newaxis[] = "newaxis";
static const char __pyx_k_omega_2[] = "_omega";
static const char __pyx_k_omega_v[] = "omega_v";
static const char __pyx_k_parents[] = "parents";
static const char __pyx_k_percent[] = "percent";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_radians[] = "radians";
static const char __pyx_k_regular[] = "regular";
static const char __pyx_k_theta_r[] = "theta_r";
static const char __pyx_k_theta_t[] = "theta_t";
static const char __pyx_k_version[] = "version";
static const char __pyx_k_wavelen[] = "wavelen";
static const char __pyx_k_xcoords[] = "xcoords";
static const char __pyx_k_ycoords[] = "ycoords";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_EnumBase[] = "EnumBase";
static const char __pyx_k_EnumType[] = "EnumType";
static const char __pyx_k_L_b_corr[] = "L_b_corr";
static const char __pyx_k_N0_map_v[] = "N0_map_v";
static const char __pyx_k_PathProp[] = "_PathProp";
static const char __pyx_k_SUBURBAN[] = "SUBURBAN";
static const char __pyx_k_S_rim_50[] = "S_rim_50";
static const char __pyx_k_S_rim_b0[] = "S_rim_b0";
static const char __pyx_k_S_tim_50[] = "S_tim_50";
static const char __pyx_k_S_tim_b0[] = "S_tim_b0";
static const char __pyx_k_SrtmConf[] = "SrtmConf";
static const char __pyx_k_allocate[] = "allocate";
static const char __pyx_k_alpha_rt[] = "alpha_rt";
static const char __pyx_k_alpha_tr[] = "alpha_tr";
static const char __pyx_k_buffered[] = "buffered";
static const char __pyx_k_cosdelta[] = "cosdelta";
static const char __pyx_k_d_cr_map[] = "d_cr_map";
static const char __pyx_k_d_ct_map[] = "d_ct_map";
static const char __pyx_k_d_lm_map[] = "d_lm_map";
static const char __pyx_k_d_tm_map[] = "d_tm_map";
static const char __pyx_k_dist_map[] = "dist_map";
static const char __pyx_k_distance[] = "distance";
static const char __pyx_k_eps_pr_2[] = "_eps_pr";
static const char __pyx_k_eps_pt_2[] = "_eps_pt";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_h_eff_50[] = "h_eff_50";
static const char __pyx_k_h_eff_b0[] = "h_eff_b0";
static const char __pyx_k_heff_m50[] = "heff_m50";
static const char __pyx_k_heff_r50[] = "heff_r50";
static const char __pyx_k_heff_t50[] = "heff_t50";
static const char __pyx_k_hheights[] = "hheights";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_lats_rad[] = "lats_rad";
static const char __pyx_k_lons_rad[] = "lons_rad";
static const char __pyx_k_nthreads[] = "nthreads";
static const char __pyx_k_nu_mbeta[] = "nu_mbeta";
static const char __pyx_k_nu_rbeta[] = "nu_rbeta";
static const char __pyx_k_nu_tbeta[] = "nu_tbeta";
static const char __pyx_k_op_flags[] = "op_flags";
static const char __pyx_k_operands[] = "operands";
static const char __pyx_k_pathprop[] = "pathprop";
static const char __pyx_k_pressure[] = "pressure";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_readonly[] = "readonly";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_zheights[] = "zheights";
static const char __pyx_k_zone_r_2[] = "_zone_r";
static const char __pyx_k_zone_r_v[] = "zone_r_v";
static const char __pyx_k_zone_t_2[] = "_zone_t";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_beta0_map[] = "beta0_map";
static const char __pyx_k_clut_data[] = "_clut_data";
static const char __pyx_k_delta_N_2[] = "_delta_N";
static const char __pyx_k_delta_N_v[] = "delta_N_v";
static const char __pyx_k_dist_prof[] = "dist_prof";
static const char __pyx_k_distances[] = "distances";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_float_res[] = "float_res";
static const char __pyx_k_frequency[] = "frequency";
static const char __pyx_k_full_like[] = "full_like";
static const char __pyx_k_heights_2[] = "_heights";
static const char __pyx_k_heights_v[] = "heights_v";
static const char __pyx_k_hlats_rad[] = "hlats_rad";
static const char __pyx_k_hlons_rad[] = "hlons_rad";
static const char __pyx_k_int_res_v[] = "int_res_v";
static const char __pyx_k_last_freq[] = "last_freq";
static const char __pyx_k_last_h_rg[] = "last_h_rg";
static const char __pyx_k_last_h_tg[] = "last_h_tg";
static const char __pyx_k_lat_t_rad[] = "lat_t_rad";
static const char __pyx_k_lon_t_rad[] = "lon_t_rad";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_omega_map[] = "omega_map";
static const char __pyx_k_op_dtypes[] = "op_dtypes";
static const char __pyx_k_path_type[] = "path_type";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_readwrite[] = "readwrite";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_rho_water[] = "rho_water";
static const char __pyx_k_version_2[] = "_version";
static const char __pyx_k_xcoords_2[] = "_xcoords";
static const char __pyx_k_xcoords_v[] = "xcoords_v";
static const char __pyx_k_ycoords_2[] = "_ycoords";
static const char __pyx_k_ycoords_v[] = "ycoords_v";
static const char __pyx_k_HIGH_URBAN[] = "HIGH_URBAN";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_L_b_corr_2[] = "_L_b_corr";
static const char __pyx_k_S_tr_zh_50[] = "S_tr_zh_50";
static const char __pyx_k_S_tr_zh_b0[] = "S_tr_zh_b0";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_d_bp_zh_50[] = "d_bp_zh_50";
static const char __pyx_k_d_bp_zh_b0[] = "d_bp_zh_b0";
static const char __pyx_k_d_cr_map_v[] = "d_cr_map_v";
static const char __pyx_k_d_ct_map_v[] = "d_ct_map_v";
static const char __pyx_k_d_lm_map_v[] = "d_lm_map_v";
static const char __pyx_k_d_tm_map_v[] = "d_tm_map_v";
static const char __pyx_k_dimless_km[] = "dimless / km";
static const char __pyx_k_dist_map_2[] = "_dist_map";
static const char __pyx_k_dist_map_v[] = "dist_map_v";
static const char __pyx_k_duct_slope[] = "duct_slope";
static const char __pyx_k_empty_like[] = "empty_like";
static const char __pyx_k_h_bp_zh_50[] = "h_bp_zh_50";
static const char __pyx_k_h_bp_zh_b0[] = "h_bp_zh_b0";
static const char __pyx_k_hdistances[] = "hdistances";
static const char __pyx_k_hprof_data[] = "hprof_data";
static const char __pyx_k_hprof_step[] = "hprof_step";
static const char __pyx_k_min_pa_res[] = "min_pa_res";
static const char __pyx_k_nu_bull_50[] = "nu_bull_50";
static const char __pyx_k_nu_bull_b0[] = "nu_bull_b0";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_zeros_like[] = "zeros_like";
static const char __pyx_k_zheights_v[] = "zheights_v";
static const char __pyx_k_zone_r_map[] = "zone_r_map";
static const char __pyx_k_zone_t_map[] = "zone_t_map";
static const char __pyx_k_DENSE_URBAN[] = "DENSE_URBAN";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_OrderedDict[] = "OrderedDict";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_S_rim_zh_50[] = "S_rim_zh_50";
static const char __pyx_k_S_rim_zh_b0[] = "S_rim_zh_b0";
static const char __pyx_k_S_tim_zh_50[] = "S_tim_zh_50";
static const char __pyx_k_S_tim_zh_b0[] = "S_tim_zh_b0";
static const char __pyx_k_bearing_map[] = "bearing_map";
static const char __pyx_k_beta0_map_v[] = "beta0_map_v";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_conversions[] = "conversions";
static const char __pyx_k_cygeodesics[] = "cygeodesics";
static const char __pyx_k_delta_N_map[] = "delta_N_map";
static const char __pyx_k_dist_prof_v[] = "dist_prof_v";
static const char __pyx_k_distances_2[] = "_distances";
static const char __pyx_k_distances_v[] = "distances_v";
static const char __pyx_k_float_res_v[] = "float_res_v";
static const char __pyx_k_h_eff_zh_50[] = "h_eff_zh_50";
static const char __pyx_k_h_eff_zh_b0[] = "h_eff_zh_b0";
static const char __pyx_k_hprof_dists[] = "hprof_dists";
static const char __pyx_k_last_zone_r[] = "last_zone_r";
static const char __pyx_k_last_zone_t[] = "last_zone_t";
static const char __pyx_k_lat_mid_map[] = "lat_mid_map";
static const char __pyx_k_lon_mid_map[] = "lon_mid_map";
static const char __pyx_k_omega_map_v[] = "omega_map_v";
static const char __pyx_k_path_type_2[] = "_path_type";
static const char __pyx_k_temperature[] = "temperature";
static const char __pyx_k_xcoords_rad[] = "xcoords_rad";
static const char __pyx_k_ycoords_rad[] = "ycoords_rad";
static const char __pyx_k_CLUTTER_DATA[] = "CLUTTER_DATA";
static const char __pyx_k_Pyx_EnumBase[] = "__Pyx_EnumBase";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_back_bearing[] = "back_bearing";
static const char __pyx_k_do_cos_delta[] = "do_cos_delta";
static const char __pyx_k_height_profs[] = "height_profs";
static const char __pyx_k_last_version[] = "last_version";
static const char __pyx_k_map_size_lat[] = "map_size_lat";
static const char __pyx_k_map_size_lon[] = "map_size_lon";
static const char __pyx_k_max_distance[] = "max_distance";
static const char __pyx_k_path_idx_map[] = "path_idx_map";
static const char __pyx_k_path_type_50[] = "path_type_50";
static const char __pyx_k_path_type_b0[] = "path_type_b0";
static const char __pyx_k_pix_dist_map[] = "pix_dist_map";
static const char __pyx_k_polarization[] = "polarization";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_time_percent[] = "time_percent";
static const char __pyx_k_zheight_prof[] = "zheight_prof";
static const char __pyx_k_zone_r_map_v[] = "zone_r_map_v";
static const char __pyx_k_zone_t_map_v[] = "zone_t_map_v";
static const char __pyx_k_CLUTTER_NAMES[] = "CLUTTER_NAMES";
static const char __pyx_k_back_bearings[] = "_back_bearings";
static const char __pyx_k_bearing_map_2[] = "_bearing_map";
static const char __pyx_k_delta_N_map_v[] = "delta_N_map_v";
static const char __pyx_k_direct_cython[] = "direct_cython";
static const char __pyx_k_external_loop[] = "external_loop";
static const char __pyx_k_heightprofile[] = "heightprofile";
static const char __pyx_k_hprof_bearing[] = "hprof_bearing";
static const char __pyx_k_hprof_heights[] = "hprof_heights";
static const char __pyx_k_lat_mid_map_2[] = "_lat_mid_map";
static const char __pyx_k_lon_mid_map_2[] = "_lon_mid_map";
static const char __pyx_k_nu_bull_zh_50[] = "nu_bull_zh_50";
static const char __pyx_k_nu_bull_zh_b0[] = "nu_bull_zh_b0";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_DENSE_SUBURBAN[] = "DENSE_SUBURBAN";
static const char __pyx_k_DN_N0_from_map[] = "_DN_N0_from_map";
static const char __pyx_k_PARAMETERS_V14[] = "PARAMETERS_V14";
static const char __pyx_k_PARAMETERS_V16[] = "PARAMETERS_V16";
static const char __pyx_k_clutter_data_v[] = "clutter_data_v";
static const char __pyx_k_delay_bufalloc[] = "delay_bufalloc";
static const char __pyx_k_height_profs_v[] = "height_profs_v";
static const char __pyx_k_inverse_cython[] = "inverse_cython";
static const char __pyx_k_map_resolution[] = "map_resolution";
static const char __pyx_k_nu_bull_idx_50[] = "nu_bull_idx_50";
static const char __pyx_k_nu_bull_idx_b0[] = "nu_bull_idx_b0";
static const char __pyx_k_path_idx_map_2[] = "_path_idx_map";
static const char __pyx_k_path_idx_map_v[] = "path_idx_map_v";
static const char __pyx_k_pix_dist_map_2[] = "_pix_dist_map";
static const char __pyx_k_polarization_2[] = "_polarization";
static const char __pyx_k_start_bearings[] = "_start_bearings";
static const char __pyx_k_time_percent_2[] = "_time_percent";
static const char __pyx_k_zheight_prof_v[] = "zheight_prof_v";
static const char __pyx_k_DECIDIOUS_TREES[] = "DECIDIOUS_TREES";
static const char __pyx_k_INDUSTRIAL_ZONE[] = "INDUSTRIAL_ZONE";
static const char __pyx_k_TROPICAL_FOREST[] = "TROPICAL_FOREST";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_back_bearings_2[] = "back_bearings";
static const char __pyx_k_backbearing_map[] = "_backbearing_map";
static const char __pyx_k_beta_from_DN_N0[] = "beta_from_DN_N0";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_max_path_length[] = "max_path_length";
static const char __pyx_k_path_type_zh_50[] = "path_type_zh_50";
static const char __pyx_k_path_type_zh_b0[] = "path_type_zh_b0";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_regrid2d_with_x[] = "regrid2d_with_x";
static const char __pyx_k_set_num_threads[] = "set_num_threads";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_CONIFEROUS_TREES[] = "CONIFEROUS_TREES";
static const char __pyx_k_PARAMETERS_BASIC[] = "PARAMETERS_BASIC";
static const char __pyx_k_back_bearing_map[] = "back_bearing_map";
static const char __pyx_k_dist_end_idx_map[] = "dist_end_idx_map";
static const char __pyx_k_srtm_height_data[] = "_srtm_height_data";
static const char __pyx_k_start_bearings_2[] = "start_bearings";
static const char __pyx_k_ascontiguousarray[] = "ascontiguousarray";
static const char __pyx_k_back_bearings_rad[] = "back_bearings_rad";
static const char __pyx_k_backbearing_map_2[] = "backbearing_map";
static const char __pyx_k_hprof_backbearing[] = "hprof_backbearing";
static const char __pyx_k_nu_bull_idx_zh_50[] = "nu_bull_idx_zh_50";
static const char __pyx_k_nu_bull_idx_zh_b0[] = "nu_bull_idx_zh_b0";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_0_LOS_1_transhoriz[] = "(0 - LOS, 1 - transhoriz)";
static const char __pyx_k_Pyx_EnumBase___new[] = "__Pyx_EnumBase.__new__";
static const char __pyx_k_Pyx_EnumBase___str[] = "__Pyx_EnumBase.__str__";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_dist_end_idx_map_2[] = "_dist_end_idx_map";
static const char __pyx_k_dist_end_idx_map_v[] = "dist_end_idx_map_v";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_Pyx_EnumBase___repr[] = "__Pyx_EnumBase.__repr__";
static const char __pyx_k_srtm_height_profile[] = "_srtm_height_profile";
static const char __pyx_k_Unknown_enum_value_s[] = "Unknown enum value: '%s'";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_atten_map_fast_cython[] = "atten_map_fast_cython";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_P_452_version_14_or_16[] = "(P.452 version; 14 or 16)";
static const char __pyx_k_atten_path_fast_cython[] = "atten_path_fast_cython";
static const char __pyx_k_ducting_loss_ba_cython[] = "ducting_loss_ba_cython";
static const char __pyx_k_height_map_data_cython[] = "height_map_data_cython";
static const char __pyx_k_losses_complete_cython[] = "losses_complete_cython";
static const char __pyx_k_pycraf_pathprof_cyprop[] = "pycraf.pathprof.cyprop";
static const char __pyx_k_0_horizontal_1_vertical[] = "(0 - horizontal, 1 - vertical)";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_clutter_correction_cython[] = "clutter_correction_cython";
static const char __pyx_k_pycraf_pathprof_cyprop_pyx[] = "pycraf/pathprof/cyprop.pyx";
static const char __pyx_k_free_space_loss_bfsg_cython[] = "free_space_loss_bfsg_cython";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_pyx_unpickle___Pyx_EnumMeta[] = "__pyx_unpickle___Pyx_EnumMeta";
static const char __pyx_k_specific_attenuation_annex2[] = "specific_attenuation_annex2";
static const char __pyx_k_radiomet_data_for_pathcenter[] = "_radiomet_data_for_pathcenter";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_Pickling_of_struct_members_such[] = "Pickling of struct members such as self._pp must be explicitly requested with @auto_pickle(True)";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Height_profile_must_have_at_leas[] = "Height profile must have at least 5 steps.";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xd4[] = "Incompatible checksums (%s vs 0xd41d8cd = ())";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_delta_N_and_N0_must_both_be_None[] = "delta_N and N0 must both be None or both be provided";
static const char __pyx_k_diffraction_loss_complete_cython[] = "diffraction_loss_complete_cython";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_hprof_dists_hprof_heights_bearin[] = "hprof_dists, hprof_heights, bearing, and back_bearing must all be None or all be provided";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_path_attenuation_complete_cython[] = "path_attenuation_complete_cython";
static const char __pyx_k_tropospheric_scatter_loss_bs_cyt[] = "tropospheric_scatter_loss_bs_cython";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_u_0_LOS_1_transhoriz;
static PyObject *__pyx_kp_u_0_horizontal_1_vertical;
static PyObject *__pyx_kp_u_12_6f;
static PyObject *__pyx_kp_u_12d;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_n_u_C;
static PyObject *__pyx_n_s_CLUTTER;
static PyObject *__pyx_n_u_CLUTTER;
static PyObject *__pyx_n_s_CLUTTER_DATA;
static PyObject *__pyx_n_u_CLUTTER_DATA;
static PyObject *__pyx_n_s_CLUTTER_NAMES;
static PyObject *__pyx_n_u_CLUTTER_NAMES;
static PyObject *__pyx_n_s_CONIFEROUS_TREES;
static PyObject *__pyx_n_u_CONIFEROUS_TREES;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_DECIDIOUS_TREES;
static PyObject *__pyx_n_u_DECIDIOUS_TREES;
static PyObject *__pyx_n_s_DENSE_SUBURBAN;
static PyObject *__pyx_n_u_DENSE_SUBURBAN;
static PyObject *__pyx_n_s_DENSE_URBAN;
static PyObject *__pyx_n_u_DENSE_URBAN;
static PyObject *__pyx_n_s_DN;
static PyObject *__pyx_n_s_DN_N0_from_map;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_n_s_EnumBase;
static PyObject *__pyx_n_s_EnumType;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_GHz;
static PyObject *__pyx_n_u_GHz;
static PyObject *__pyx_n_s_G_r;
static PyObject *__pyx_n_s_G_r_2;
static PyObject *__pyx_n_s_G_t;
static PyObject *__pyx_n_s_G_t_2;
static PyObject *__pyx_n_s_HIGH_URBAN;
static PyObject *__pyx_n_u_HIGH_URBAN;
static PyObject *__pyx_kp_u_Height_profile_must_have_at_leas;
static PyObject *__pyx_n_s_INDUSTRIAL_ZONE;
static PyObject *__pyx_n_u_INDUSTRIAL_ZONE;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xd4;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_n_s_IntEnum;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_n_s_K;
static PyObject *__pyx_n_u_K;
static PyObject *__pyx_n_s_L_b;
static PyObject *__pyx_n_s_L_b0p;
static PyObject *__pyx_n_s_L_b0p_2;
static PyObject *__pyx_n_s_L_b_2;
static PyObject *__pyx_n_s_L_b_corr;
static PyObject *__pyx_n_s_L_b_corr_2;
static PyObject *__pyx_n_s_L_ba;
static PyObject *__pyx_n_s_L_ba_2;
static PyObject *__pyx_n_s_L_bd;
static PyObject *__pyx_n_s_L_bd_2;
static PyObject *__pyx_n_s_L_bs;
static PyObject *__pyx_n_s_L_bs_2;
static PyObject *__pyx_n_s_L_dummy;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_n_s_N0;
static PyObject *__pyx_n_u_N0;
static PyObject *__pyx_n_s_N0_2;
static PyObject *__pyx_n_s_N0_map;
static PyObject *__pyx_n_u_N0_map;
static PyObject *__pyx_n_s_N0_map_v;
static PyObject *__pyx_n_s_N0_v;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_n_s_OrderedDict;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_n_s_PARAMETERS_BASIC;
static PyObject *__pyx_n_u_PARAMETERS_BASIC;
static PyObject *__pyx_n_s_PARAMETERS_V14;
static PyObject *__pyx_n_u_PARAMETERS_V14;
static PyObject *__pyx_n_s_PARAMETERS_V16;
static PyObject *__pyx_n_u_PARAMETERS_V16;
static PyObject *__pyx_kp_u_P_452_version_14_or_16;
static PyObject *__pyx_n_s_PathProp;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_kp_s_Pickling_of_struct_members_such;
static PyObject *__pyx_n_s_Pyx_EnumBase;
static PyObject *__pyx_n_s_Pyx_EnumBase___new;
static PyObject *__pyx_n_s_Pyx_EnumBase___repr;
static PyObject *__pyx_n_s_Pyx_EnumBase___str;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_SPARSE;
static PyObject *__pyx_n_u_SPARSE;
static PyObject *__pyx_n_s_SUBURBAN;
static PyObject *__pyx_n_u_SUBURBAN;
static PyObject *__pyx_n_s_S_rim_50;
static PyObject *__pyx_n_u_S_rim_50;
static PyObject *__pyx_n_s_S_rim_b0;
static PyObject *__pyx_n_u_S_rim_b0;
static PyObject *__pyx_n_s_S_rim_zh_50;
static PyObject *__pyx_n_u_S_rim_zh_50;
static PyObject *__pyx_n_s_S_rim_zh_b0;
static PyObject *__pyx_n_u_S_rim_zh_b0;
static PyObject *__pyx_n_s_S_tim_50;
static PyObject *__pyx_n_u_S_tim_50;
static PyObject *__pyx_n_s_S_tim_b0;
static PyObject *__pyx_n_u_S_tim_b0;
static PyObject *__pyx_n_s_S_tim_zh_50;
static PyObject *__pyx_n_u_S_tim_zh_50;
static PyObject *__pyx_n_s_S_tim_zh_b0;
static PyObject *__pyx_n_u_S_tim_zh_b0;
static PyObject *__pyx_n_s_S_tr_50;
static PyObject *__pyx_n_u_S_tr_50;
static PyObject *__pyx_n_s_S_tr_b0;
static PyObject *__pyx_n_u_S_tr_b0;
static PyObject *__pyx_n_s_S_tr_zh_50;
static PyObject *__pyx_n_u_S_tr_zh_50;
static PyObject *__pyx_n_s_S_tr_zh_b0;
static PyObject *__pyx_n_u_S_tr_zh_b0;
static PyObject *__pyx_n_s_SrtmConf;
static PyObject *__pyx_n_s_TROPICAL_FOREST;
static PyObject *__pyx_n_u_TROPICAL_FOREST;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_n_s_UNKNOWN;
static PyObject *__pyx_n_u_UNKNOWN;
static PyObject *__pyx_n_s_URBAN;
static PyObject *__pyx_n_u_URBAN;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_kp_s_Unknown_enum_value_s;
static PyObject *__pyx_n_s_VILLAGE;
static PyObject *__pyx_n_u_VILLAGE;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_View_MemoryView;
static PyObject *__pyx_n_s__35;
static PyObject *__pyx_kp_u__35;
static PyObject *__pyx_n_s__52;
static PyObject *__pyx_n_s_a_e_50;
static PyObject *__pyx_n_u_a_e_50;
static PyObject *__pyx_n_s_a_e_b0;
static PyObject *__pyx_n_u_a_e_b0;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_all_2;
static PyObject *__pyx_n_u_allocate;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_n_s_alpha_rt;
static PyObject *__pyx_n_u_alpha_rt;
static PyObject *__pyx_n_s_alpha_tr;
static PyObject *__pyx_n_u_alpha_tr;
static PyObject *__pyx_n_s_apu;
static PyObject *__pyx_n_s_arange;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_ascontiguousarray;
static PyObject *__pyx_n_s_astropy;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_atten_map_fast_cython;
static PyObject *__pyx_n_s_atten_path_fast_cython;
static PyObject *__pyx_n_s_back_bearing;
static PyObject *__pyx_n_u_back_bearing;
static PyObject *__pyx_n_u_back_bearing_map;
static PyObject *__pyx_n_s_back_bearings;
static PyObject *__pyx_n_s_back_bearings_2;
static PyObject *__pyx_n_s_back_bearings_rad;
static PyObject *__pyx_n_s_backbearing_map;
static PyObject *__pyx_n_s_backbearing_map_2;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_bearing;
static PyObject *__pyx_n_u_bearing;
static PyObject *__pyx_n_s_bearing_map;
static PyObject *__pyx_n_u_bearing_map;
static PyObject *__pyx_n_s_bearing_map_2;
static PyObject *__pyx_n_s_beta0;
static PyObject *__pyx_n_u_beta0;
static PyObject *__pyx_n_s_beta0_map;
static PyObject *__pyx_n_u_beta0_map;
static PyObject *__pyx_n_s_beta0_map_v;
static PyObject *__pyx_n_s_beta0_v;
static PyObject *__pyx_n_s_beta_from_DN_N0;
static PyObject *__pyx_n_s_bidx;
static PyObject *__pyx_n_u_buffered;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_cf;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cls;
static PyObject *__pyx_n_s_clut_data;
static PyObject *__pyx_n_s_clutter_correction_cython;
static PyObject *__pyx_n_s_clutter_data_v;
static PyObject *__pyx_n_s_cnv;
static PyObject *__pyx_n_s_collections;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_conversions;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_cosdelta;
static PyObject *__pyx_n_s_cygeodesics;
static PyObject *__pyx_n_s_d_bp_50;
static PyObject *__pyx_n_u_d_bp_50;
static PyObject *__pyx_n_s_d_bp_b0;
static PyObject *__pyx_n_u_d_bp_b0;
static PyObject *__pyx_n_s_d_bp_zh_50;
static PyObject *__pyx_n_u_d_bp_zh_50;
static PyObject *__pyx_n_s_d_bp_zh_b0;
static PyObject *__pyx_n_u_d_bp_zh_b0;
static PyObject *__pyx_n_s_d_cr;
static PyObject *__pyx_n_u_d_cr;
static PyObject *__pyx_n_s_d_cr_2;
static PyObject *__pyx_n_s_d_cr_map;
static PyObject *__pyx_n_u_d_cr_map;
static PyObject *__pyx_n_s_d_cr_map_v;
static PyObject *__pyx_n_s_d_cr_v;
static PyObject *__pyx_n_s_d_ct;
static PyObject *__pyx_n_u_d_ct;
static PyObject *__pyx_n_s_d_ct_2;
static PyObject *__pyx_n_s_d_ct_map;
static PyObject *__pyx_n_u_d_ct_map;
static PyObject *__pyx_n_s_d_ct_map_v;
static PyObject *__pyx_n_s_d_ct_v;
static PyObject *__pyx_n_s_d_lm;
static PyObject *__pyx_n_u_d_lm;
static PyObject *__pyx_n_s_d_lm_2;
static PyObject *__pyx_n_s_d_lm_map;
static PyObject *__pyx_n_u_d_lm_map;
static PyObject *__pyx_n_s_d_lm_map_v;
static PyObject *__pyx_n_s_d_lm_v;
static PyObject *__pyx_n_s_d_lr;
static PyObject *__pyx_n_u_d_lr;
static PyObject *__pyx_n_s_d_lr_2;
static PyObject *__pyx_n_s_d_lt;
static PyObject *__pyx_n_u_d_lt;
static PyObject *__pyx_n_s_d_lt_2;
static PyObject *__pyx_n_s_d_m50;
static PyObject *__pyx_n_u_d_m50;
static PyObject *__pyx_n_s_d_r50;
static PyObject *__pyx_n_u_d_r50;
static PyObject *__pyx_n_s_d_t50;
static PyObject *__pyx_n_u_d_t50;
static PyObject *__pyx_n_s_d_tm;
static PyObject *__pyx_n_u_d_tm;
static PyObject *__pyx_n_s_d_tm_2;
static PyObject *__pyx_n_s_d_tm_map;
static PyObject *__pyx_n_u_d_tm_map;
static PyObject *__pyx_n_s_d_tm_map_v;
static PyObject *__pyx_n_s_d_tm_v;
static PyObject *__pyx_n_s_dct;
static PyObject *__pyx_n_s_deg;
static PyObject *__pyx_n_u_deg;
static PyObject *__pyx_n_s_degrees;
static PyObject *__pyx_n_u_delay_bufalloc;
static PyObject *__pyx_n_s_delta_N;
static PyObject *__pyx_n_u_delta_N;
static PyObject *__pyx_n_s_delta_N_2;
static PyObject *__pyx_kp_u_delta_N_and_N0_must_both_be_None;
static PyObject *__pyx_n_s_delta_N_map;
static PyObject *__pyx_n_u_delta_N_map;
static PyObject *__pyx_n_s_delta_N_map_v;
static PyObject *__pyx_n_s_delta_N_v;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_didx;
static PyObject *__pyx_n_s_diffraction_loss_complete_cython;
static PyObject *__pyx_n_s_dimless;
static PyObject *__pyx_n_u_dimless;
static PyObject *__pyx_kp_u_dimless_km;
static PyObject *__pyx_n_s_direct_cython;
static PyObject *__pyx_n_s_dist_end_idx_map;
static PyObject *__pyx_n_u_dist_end_idx_map;
static PyObject *__pyx_n_s_dist_end_idx_map_2;
static PyObject *__pyx_n_s_dist_end_idx_map_v;
static PyObject *__pyx_n_s_dist_map;
static PyObject *__pyx_n_u_dist_map;
static PyObject *__pyx_n_s_dist_map_2;
static PyObject *__pyx_n_s_dist_map_v;
static PyObject *__pyx_n_s_dist_prof;
static PyObject *__pyx_n_u_dist_prof;
static PyObject *__pyx_n_s_dist_prof_v;
static PyObject *__pyx_n_s_distance;
static PyObject *__pyx_n_u_distance;
static PyObject *__pyx_n_s_distances;
static PyObject *__pyx_n_u_distances;
static PyObject *__pyx_n_s_distances_2;
static PyObject *__pyx_n_s_distances_v;
static PyObject *__pyx_n_s_do_cos_delta;
static PyObject *__pyx_n_u_do_cos_delta;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_double;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_duct_slope;
static PyObject *__pyx_n_u_duct_slope;
static PyObject *__pyx_n_s_ducting_loss_ba_cython;
static PyObject *__pyx_n_s_eidx;
static PyObject *__pyx_n_s_empty_like;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enum;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_eps_pr;
static PyObject *__pyx_n_u_eps_pr;
static PyObject *__pyx_n_s_eps_pr_2;
static PyObject *__pyx_n_s_eps_pt;
static PyObject *__pyx_n_u_eps_pt;
static PyObject *__pyx_n_s_eps_pt_2;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_u_external_loop;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_u_float64;
static PyObject *__pyx_n_s_float_res;
static PyObject *__pyx_n_s_float_res_v;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_free_space_loss_bfsg_cython;
static PyObject *__pyx_n_s_freq;
static PyObject *__pyx_n_u_freq;
static PyObject *__pyx_n_s_freq_2;
static PyObject *__pyx_n_s_frequency;
static PyObject *__pyx_n_s_full;
static PyObject *__pyx_n_s_full_like;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_n_s_h0;
static PyObject *__pyx_n_u_h0;
static PyObject *__pyx_n_s_hPa;
static PyObject *__pyx_n_u_hPa;
static PyObject *__pyx_n_s_h_bp_50;
static PyObject *__pyx_n_u_h_bp_50;
static PyObject *__pyx_n_s_h_bp_b0;
static PyObject *__pyx_n_u_h_bp_b0;
static PyObject *__pyx_n_s_h_bp_zh_50;
static PyObject *__pyx_n_u_h_bp_zh_50;
static PyObject *__pyx_n_s_h_bp_zh_b0;
static PyObject *__pyx_n_u_h_bp_zh_b0;
static PyObject *__pyx_n_s_h_eff_50;
static PyObject *__pyx_n_u_h_eff_50;
static PyObject *__pyx_n_s_h_eff_b0;
static PyObject *__pyx_n_u_h_eff_b0;
static PyObject *__pyx_n_s_h_eff_zh_50;
static PyObject *__pyx_n_u_h_eff_zh_50;
static PyObject *__pyx_n_s_h_eff_zh_b0;
static PyObject *__pyx_n_u_h_eff_zh_b0;
static PyObject *__pyx_n_s_h_g;
static PyObject *__pyx_n_s_h_m;
static PyObject *__pyx_n_u_h_m;
static PyObject *__pyx_n_s_h_m50;
static PyObject *__pyx_n_u_h_m50;
static PyObject *__pyx_n_s_h_r50;
static PyObject *__pyx_n_u_h_r50;
static PyObject *__pyx_n_s_h_re;
static PyObject *__pyx_n_u_h_re;
static PyObject *__pyx_n_s_h_rg;
static PyObject *__pyx_n_u_h_rg;
static PyObject *__pyx_n_s_h_rg_2;
static PyObject *__pyx_n_s_h_rg_in;
static PyObject *__pyx_n_u_h_rg_in;
static PyObject *__pyx_n_s_h_rs;
static PyObject *__pyx_n_u_h_rs;
static PyObject *__pyx_n_s_h_sr;
static PyObject *__pyx_n_u_h_sr;
static PyObject *__pyx_n_s_h_srd;
static PyObject *__pyx_n_u_h_srd;
static PyObject *__pyx_n_s_h_st;
static PyObject *__pyx_n_u_h_st;
static PyObject *__pyx_n_s_h_std;
static PyObject *__pyx_n_u_h_std;
static PyObject *__pyx_n_s_h_t50;
static PyObject *__pyx_n_u_h_t50;
static PyObject *__pyx_n_s_h_te;
static PyObject *__pyx_n_u_h_te;
static PyObject *__pyx_n_s_h_tg;
static PyObject *__pyx_n_u_h_tg;
static PyObject *__pyx_n_s_h_tg_2;
static PyObject *__pyx_n_s_h_tg_in;
static PyObject *__pyx_n_u_h_tg_in;
static PyObject *__pyx_n_s_h_ts;
static PyObject *__pyx_n_u_h_ts;
static PyObject *__pyx_n_s_hdistances;
static PyObject *__pyx_n_s_heff_m50;
static PyObject *__pyx_n_u_heff_m50;
static PyObject *__pyx_n_s_heff_r50;
static PyObject *__pyx_n_u_heff_r50;
static PyObject *__pyx_n_s_heff_t50;
static PyObject *__pyx_n_u_heff_t50;
static PyObject *__pyx_n_s_height_map_data_cython;
static PyObject *__pyx_n_s_height_profs;
static PyObject *__pyx_n_u_height_profs;
static PyObject *__pyx_n_s_height_profs_v;
static PyObject *__pyx_n_s_heightprofile;
static PyObject *__pyx_n_s_heights;
static PyObject *__pyx_n_u_heights;
static PyObject *__pyx_n_s_heights_2;
static PyObject *__pyx_n_s_heights_v;
static PyObject *__pyx_n_s_helper;
static PyObject *__pyx_n_s_hgt_res;
static PyObject *__pyx_n_s_hheights;
static PyObject *__pyx_n_s_hlats_rad;
static PyObject *__pyx_n_s_hlons_rad;
static PyObject *__pyx_n_s_hn;
static PyObject *__pyx_n_u_hn;
static PyObject *__pyx_n_s_hprof_backbearing;
static PyObject *__pyx_n_s_hprof_bearing;
static PyObject *__pyx_n_s_hprof_data;
static PyObject *__pyx_n_s_hprof_dists;
static PyObject *__pyx_kp_u_hprof_dists_hprof_heights_bearin;
static PyObject *__pyx_n_s_hprof_heights;
static PyObject *__pyx_n_s_hprof_step;
static PyObject *__pyx_n_u_hprof_step;
static PyObject *__pyx_n_s_hsize;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_i_m50;
static PyObject *__pyx_n_u_i_m50;
static PyObject *__pyx_n_s_i_r50;
static PyObject *__pyx_n_u_i_r50;
static PyObject *__pyx_n_s_i_t50;
static PyObject *__pyx_n_u_i_t50;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_u_int32;
static PyObject *__pyx_n_s_int_res;
static PyObject *__pyx_n_s_int_res_v;
static PyObject *__pyx_n_s_inverse_cython;
static PyObject *__pyx_n_s_it;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_km;
static PyObject *__pyx_n_u_km;
static PyObject *__pyx_n_s_last_freq;
static PyObject *__pyx_n_s_last_h_rg;
static PyObject *__pyx_n_s_last_h_tg;
static PyObject *__pyx_n_s_last_version;
static PyObject *__pyx_n_s_last_zone_r;
static PyObject *__pyx_n_s_last_zone_t;
static PyObject *__pyx_n_s_lat_mid;
static PyObject *__pyx_n_u_lat_mid;
static PyObject *__pyx_n_s_lat_mid_map;
static PyObject *__pyx_n_u_lat_mid_map;
static PyObject *__pyx_n_s_lat_mid_map_2;
static PyObject *__pyx_n_s_lat_r;
static PyObject *__pyx_n_u_lat_r;
static PyObject *__pyx_n_s_lat_t;
static PyObject *__pyx_n_u_lat_t;
static PyObject *__pyx_n_s_lat_t_rad;
static PyObject *__pyx_n_s_lats;
static PyObject *__pyx_n_s_lats_2;
static PyObject *__pyx_n_s_lats_rad;
static PyObject *__pyx_n_s_lon_mid;
static PyObject *__pyx_n_u_lon_mid;
static PyObject *__pyx_n_s_lon_mid_map;
static PyObject *__pyx_n_u_lon_mid_map;
static PyObject *__pyx_n_s_lon_mid_map_2;
static PyObject *__pyx_n_s_lon_r;
static PyObject *__pyx_n_u_lon_r;
static PyObject *__pyx_n_s_lon_t;
static PyObject *__pyx_n_u_lon_t;
static PyObject *__pyx_n_s_lon_t_rad;
static PyObject *__pyx_n_s_lons;
static PyObject *__pyx_n_s_lons_2;
static PyObject *__pyx_n_s_lons_rad;
static PyObject *__pyx_n_s_losses_complete_cython;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_u_m;
static PyObject *__pyx_kp_u_m_km;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_map_resolution;
static PyObject *__pyx_n_u_map_resolution;
static PyObject *__pyx_n_s_map_size_lat;
static PyObject *__pyx_n_u_map_size_lat;
static PyObject *__pyx_n_s_map_size_lon;
static PyObject *__pyx_n_u_map_size_lon;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_max_distance;
static PyObject *__pyx_n_s_max_path_length;
static PyObject *__pyx_n_s_members;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_mid_idx;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_min_pa_res;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_mrad;
static PyObject *__pyx_n_u_mrad;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_nan;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_nditer;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_newaxis;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_nthreads;
static PyObject *__pyx_n_s_nu_bull_50;
static PyObject *__pyx_n_u_nu_bull_50;
static PyObject *__pyx_n_s_nu_bull_b0;
static PyObject *__pyx_n_u_nu_bull_b0;
static PyObject *__pyx_n_s_nu_bull_idx_50;
static PyObject *__pyx_n_u_nu_bull_idx_50;
static PyObject *__pyx_n_s_nu_bull_idx_b0;
static PyObject *__pyx_n_u_nu_bull_idx_b0;
static PyObject *__pyx_n_s_nu_bull_idx_zh_50;
static PyObject *__pyx_n_u_nu_bull_idx_zh_50;
static PyObject *__pyx_n_s_nu_bull_idx_zh_b0;
static PyObject *__pyx_n_u_nu_bull_idx_zh_b0;
static PyObject *__pyx_n_s_nu_bull_zh_50;
static PyObject *__pyx_n_u_nu_bull_zh_50;
static PyObject *__pyx_n_s_nu_bull_zh_b0;
static PyObject *__pyx_n_u_nu_bull_zh_b0;
static PyObject *__pyx_n_s_nu_m50;
static PyObject *__pyx_n_u_nu_m50;
static PyObject *__pyx_n_s_nu_mbeta;
static PyObject *__pyx_n_u_nu_mbeta;
static PyObject *__pyx_n_s_nu_r50;
static PyObject *__pyx_n_u_nu_r50;
static PyObject *__pyx_n_s_nu_rbeta;
static PyObject *__pyx_n_u_nu_rbeta;
static PyObject *__pyx_n_s_nu_t50;
static PyObject *__pyx_n_u_nu_t50;
static PyObject *__pyx_n_s_nu_tbeta;
static PyObject *__pyx_n_u_nu_tbeta;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_u_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_u_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_omega;
static PyObject *__pyx_n_u_omega;
static PyObject *__pyx_n_s_omega_2;
static PyObject *__pyx_n_s_omega_map;
static PyObject *__pyx_n_u_omega_map;
static PyObject *__pyx_n_s_omega_map_v;
static PyObject *__pyx_n_s_omega_v;
static PyObject *__pyx_n_s_op_dtypes;
static PyObject *__pyx_n_s_op_flags;
static PyObject *__pyx_n_s_operands;
static PyObject *__pyx_n_s_order;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_parents;
static PyObject *__pyx_n_s_path_attenuation_complete_cython;
static PyObject *__pyx_n_s_path_idx_map;
static PyObject *__pyx_n_u_path_idx_map;
static PyObject *__pyx_n_s_path_idx_map_2;
static PyObject *__pyx_n_s_path_idx_map_v;
static PyObject *__pyx_n_s_path_type;
static PyObject *__pyx_n_u_path_type;
static PyObject *__pyx_n_s_path_type_2;
static PyObject *__pyx_n_s_path_type_50;
static PyObject *__pyx_n_u_path_type_50;
static PyObject *__pyx_n_s_path_type_b0;
static PyObject *__pyx_n_u_path_type_b0;
static PyObject *__pyx_n_s_path_type_zh_50;
static PyObject *__pyx_n_u_path_type_zh_50;
static PyObject *__pyx_n_s_path_type_zh_b0;
static PyObject *__pyx_n_u_path_type_zh_b0;
static PyObject *__pyx_n_s_pathprop;
static PyObject *__pyx_n_s_pdist;
static PyObject *__pyx_n_s_percent;
static PyObject *__pyx_n_u_percent;
static PyObject *__pyx_n_s_pi;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_pix_dist_map;
static PyObject *__pyx_n_u_pix_dist_map;
static PyObject *__pyx_n_s_pix_dist_map_2;
static PyObject *__pyx_n_s_polarization;
static PyObject *__pyx_n_u_polarization;
static PyObject *__pyx_n_s_polarization_2;
static PyObject *__pyx_n_s_pp;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_press;
static PyObject *__pyx_n_s_pressure;
static PyObject *__pyx_n_u_pressure;
static PyObject *__pyx_n_s_pycraf_pathprof_cyprop;
static PyObject *__pyx_kp_s_pycraf_pathprof_cyprop_pyx;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_unpickle___Pyx_EnumMeta;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_radians;
static PyObject *__pyx_n_s_radiomet_data_for_pathcenter;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_u_readonly;
static PyObject *__pyx_n_u_readwrite;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_refx;
static PyObject *__pyx_n_s_refy;
static PyObject *__pyx_n_s_regrid2d_with_x;
static PyObject *__pyx_n_s_regular;
static PyObject *__pyx_n_s_repr;
static PyObject *__pyx_n_s_res;
static PyObject *__pyx_n_s_reset;
static PyObject *__pyx_n_s_rho_water;
static PyObject *__pyx_kp_s_s_s;
static PyObject *__pyx_kp_s_s_s_d;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_set_num_threads;
static PyObject *__pyx_n_u_set_num_threads;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_specific_attenuation_annex2;
static PyObject *__pyx_n_s_srtm;
static PyObject *__pyx_n_s_srtm_height_data;
static PyObject *__pyx_n_s_srtm_height_profile;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_start_bearings;
static PyObject *__pyx_n_s_start_bearings_2;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_n_s_str;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_temp;
static PyObject *__pyx_n_s_temperature;
static PyObject *__pyx_n_u_temperature;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_theta;
static PyObject *__pyx_n_u_theta;
static PyObject *__pyx_n_s_theta_r;
static PyObject *__pyx_n_u_theta_r;
static PyObject *__pyx_n_s_theta_t;
static PyObject *__pyx_n_u_theta_t;
static PyObject *__pyx_n_s_time_percent;
static PyObject *__pyx_n_u_time_percent;
static PyObject *__pyx_n_s_time_percent_2;
static PyObject *__pyx_n_s_tropospheric_scatter_loss_bs_cyt;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_n_s_units;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_utils;
static PyObject *__pyx_n_s_v;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_version;
static PyObject *__pyx_n_u_version;
static PyObject *__pyx_n_s_version_2;
static PyObject *__pyx_n_s_wavelen;
static PyObject *__pyx_n_u_wavelen;
static PyObject *__pyx_n_s_xcoords;
static PyObject *__pyx_n_u_xcoords;
static PyObject *__pyx_n_s_xcoords_2;
static PyObject *__pyx_n_s_xcoords_rad;
static PyObject *__pyx_n_s_xcoords_v;
static PyObject *__pyx_n_s_xi;
static PyObject *__pyx_n_s_xidx;
static PyObject *__pyx_n_s_xlen;
static PyObject *__pyx_n_s_ycoords;
static PyObject *__pyx_n_u_ycoords;
static PyObject *__pyx_n_s_ycoords_2;
static PyObject *__pyx_n_s_ycoords_rad;
static PyObject *__pyx_n_s_ycoords_v;
static PyObject *__pyx_n_s_yi;
static PyObject *__pyx_n_s_yidx;
static PyObject *__pyx_n_s_ylen;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zeros_like;
static PyObject *__pyx_n_s_zeta_m;
static PyObject *__pyx_n_u_zeta_m;
static PyObject *__pyx_n_s_zeta_r;
static PyObject *__pyx_n_u_zeta_r;
static PyObject *__pyx_n_s_zeta_t;
static PyObject *__pyx_n_u_zeta_t;
static PyObject *__pyx_n_s_zheight_prof;
static PyObject *__pyx_n_u_zheight_prof;
static PyObject *__pyx_n_s_zheight_prof_v;
static PyObject *__pyx_n_s_zheights;
static PyObject *__pyx_n_s_zheights_v;
static PyObject *__pyx_n_s_zone;
static PyObject *__pyx_n_s_zone_r;
static PyObject *__pyx_n_u_zone_r;
static PyObject *__pyx_n_s_zone_r_2;
static PyObject *__pyx_n_s_zone_r_map;
static PyObject *__pyx_n_u_zone_r_map;
static PyObject *__pyx_n_s_zone_r_map_v;
static PyObject *__pyx_n_s_zone_r_v;
static PyObject *__pyx_n_s_zone_t;
static PyObject *__pyx_n_u_zone_t;
static PyObject *__pyx_n_s_zone_t_2;
static PyObject *__pyx_n_s_zone_t_map;
static PyObject *__pyx_n_u_zone_t_map;
static PyObject *__pyx_n_s_zone_t_map_v;
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_set_num_threads(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nthreads); /* proto */
static int __pyx_pf_6pycraf_8pathprof_6cyprop_9_PathProp___init__(struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_self, double __pyx_v_freq, double __pyx_v_temperature, double __pyx_v_pressure, double __pyx_v_lon_t, double __pyx_v_lat_t, double __pyx_v_lon_r, double __pyx_v_lat_r, double __pyx_v_h_tg, double __pyx_v_h_rg, double __pyx_v_hprof_step, double __pyx_v_time_percent, double __pyx_v_omega, PyObject *__pyx_v_d_tm, PyObject *__pyx_v_d_lm, PyObject *__pyx_v_d_ct, PyObject *__pyx_v_d_cr, int __pyx_v_zone_t, int __pyx_v_zone_r, int __pyx_v_polarization, int __pyx_v_version, PyObject *__pyx_v_delta_N, PyObject *__pyx_v_N0, PyObject *__pyx_v_hprof_dists, PyObject *__pyx_v_hprof_heights, PyObject *__pyx_v_hprof_bearing, PyObject *__pyx_v_hprof_backbearing); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_9_PathProp_3_pp___get__(struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_9_PathProp_2__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_9_PathProp_4__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_2beta_from_DN_N0(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_lat_mid, double __pyx_v_DN, double __pyx_v_N0, double __pyx_v_d_tm, double __pyx_v_d_lm); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_4free_space_loss_bfsg_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_6tropospheric_scatter_loss_bs_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop, double __pyx_v_G_t, double __pyx_v_G_r); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_8ducting_loss_ba_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_10diffraction_loss_complete_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_12path_attenuation_complete_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop, double __pyx_v_G_t, double __pyx_v_G_r); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_14clutter_correction_cython(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_h_g, int __pyx_v_zone, double __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_16height_map_data_cython(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_lon_t, double __pyx_v_lat_t, double __pyx_v_map_size_lon, double __pyx_v_map_size_lat, double __pyx_v_map_resolution, int __pyx_v_do_cos_delta, int __pyx_v_zone_t, int __pyx_v_zone_r, PyObject *__pyx_v_d_tm, PyObject *__pyx_v_d_lm, PyObject *__pyx_v_d_ct, PyObject *__pyx_v_d_cr, PyObject *__pyx_v_omega); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_18atten_map_fast_cython(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_freq, double __pyx_v_temperature, double __pyx_v_pressure, double __pyx_v_h_tg, double __pyx_v_h_rg, double __pyx_v_time_percent, PyObject *__pyx_v_hprof_data, int __pyx_v_polarization, int __pyx_v_version); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_20atten_path_fast_cython(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_freq, double __pyx_v_temperature, double __pyx_v_pressure, double __pyx_v_h_tg, double __pyx_v_h_rg, double __pyx_v_time_percent, PyObject *__pyx_v_hprof_data, int __pyx_v_polarization, int __pyx_v_version); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_22losses_complete_cython(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_frequency, PyObject *__pyx_v_temperature, PyObject *__pyx_v_pressure, double __pyx_v_lon_t, double __pyx_v_lat_t, double __pyx_v_lon_r, double __pyx_v_lat_r, PyObject *__pyx_v_h_tg, PyObject *__pyx_v_h_rg, double __pyx_v_hprof_step, PyObject *__pyx_v_time_percent, PyObject *__pyx_v_G_t, PyObject *__pyx_v_G_r, PyObject *__pyx_v_omega, PyObject *__pyx_v_d_tm, PyObject *__pyx_v_d_lm, PyObject *__pyx_v_d_ct, PyObject *__pyx_v_d_cr, PyObject *__pyx_v_zone_t, PyObject *__pyx_v_zone_r, PyObject *__pyx_v_polarization, PyObject *__pyx_v_version, PyObject *__pyx_v_delta_N, PyObject *__pyx_v_N0, PyObject *__pyx_v_hprof_dists, PyObject *__pyx_v_hprof_heights, PyObject *__pyx_v_hprof_bearing, PyObject *__pyx_v_hprof_backbearing); /* proto */
static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_24specific_attenuation_annex2(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_freq, double __pyx_v_pressure, double __pyx_v_rho_water, double __pyx_v_temperature); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static int __pyx_pf_8EnumBase_14__Pyx_EnumMeta___init__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls, PyObject *__pyx_v_name, PyObject *__pyx_v_parents, PyObject *__pyx_v_dct); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_2__iter__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_4__getitem__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_cls, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_6__reduce_cython__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumMeta_8__setstate_cython__(struct __pyx_obj___Pyx_EnumMeta *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase___new__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_value, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase_14__Pyx_EnumBase_4__str__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_8EnumBase___pyx_unpickle___Pyx_EnumMeta(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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/* Late includes */

/* "pycraf/pathprof/cyprop.pyx":346
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 * 
 * def set_num_threads(int nthreads):             # <<<<<<<<<<<<<<
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static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_set_num_threads(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_nthreads) {
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/* "pycraf/pathprof/cyprop.pyx":364
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 * 
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 *         ):
 */

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static char __pyx_doc_6pycraf_8pathprof_6cyprop_2beta_from_DN_N0[] = "beta_from_DN_N0(double lat_mid, double DN, double N0, double d_tm, double d_lm)\n\n    Calculate radiometeorological data, beta0.\n\n    Parameters\n    ----------\n    lat - path center coordinates [deg]\n    delta_N - average radio-refractive index lapse-rate through the\n            lowest 1 km of the atmosphere [N-units/km]\n    N_0 - sea-level surface refractivity [N-units]\n    d_tm - longest continuous land (inland + coastal) section of the\n        great-circle path [km]\n    d_lm - longest continuous inland section of the great-circle path [km]\n\n    Returns\n    -------\n    beta_0 - the time percentage for which refractive index lapse-rates\n        exceeding 100 N-units/km can be expected in the first 100 m\n        of the lower atmosphere [%]\n\n    Notes\n    -----\n    - \316\224N and N_0 can be derived from digitized maps (shipped with P.452).\n    - Radio-climaticzones can be queried from ITU Digitized World Map (IDWM).\n      For many applications, it is probably the case, that only inland\n      zones are present along the path of length d.\n      In this case, set d_tm = d_lm = d.\n    ";
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/* "pycraf/pathprof/cyprop.pyx":599
 * 
 * 
 * cdef void _process_path(             # <<<<<<<<<<<<<<
 *         ppstruct *pp,
 *         # double[::1] lons_view,
 */

static void __pyx_f_6pycraf_8pathprof_6cyprop__process_path(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct *__pyx_v_pp, __Pyx_memviewslice __pyx_v_distances_view, __Pyx_memviewslice __pyx_v_heights_view, __Pyx_memviewslice __pyx_v_zheights_view) {
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 * 
 *         int diff_edge_idx
 *         int hsize = distances_view.shape[0]             # <<<<<<<<<<<<<<
 * 
 *     # import time
 */
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 *     # _time = time.time()
 * 
 *     pp.h0 = heights_view[0]             # <<<<<<<<<<<<<<
 *     pp.hn = heights_view[hsize - 1]
 * 
 */
  __pyx_t_1 = 0;
  __pyx_v_pp->h0 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_heights_view.data) + __pyx_t_1)) )));

  /* "pycraf/pathprof/cyprop.pyx":622
 * 
 *     pp.h0 = heights_view[0]
 *     pp.hn = heights_view[hsize - 1]             # <<<<<<<<<<<<<<
 * 
 *     pp.h_ts = pp.h0 + pp.h_tg
 */
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 *     pp.hn = heights_view[hsize - 1]
 * 
 *     pp.h_ts = pp.h0 + pp.h_tg             # <<<<<<<<<<<<<<
 *     pp.h_rs = pp.hn + pp.h_rg
 * 
 */
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  /* "pycraf/pathprof/cyprop.pyx":625
 * 
 *     pp.h_ts = pp.h0 + pp.h_tg
 *     pp.h_rs = pp.hn + pp.h_rg             # <<<<<<<<<<<<<<
 * 
 *     # smooth-earth height profile
 */
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  /* "pycraf/pathprof/cyprop.pyx":628
 * 
 *     # smooth-earth height profile
 *     pp.h_st, pp.h_sr = _smooth_earth_heights(             # <<<<<<<<<<<<<<
 *         pp.distance, distances_view, heights_view,
 *         )
 */
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  /* "pycraf/pathprof/cyprop.pyx":636
 * 
 *     # effective antenna heights for diffraction model
 *     pp.h_std, pp.h_srd = _effective_antenna_heights(             # <<<<<<<<<<<<<<
 *         pp.distance,
 *         distances_view, heights_view,
 */
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  __pyx_v_pp->h_srd = __pyx_t_3;

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 *     # parameters for ducting/layer-reflection model
 *     # (use these only for ducting or also for smooth-earth?)
 *     pp.h_st = min(pp.h_st, pp.h0)             # <<<<<<<<<<<<<<
 *     pp.h_sr = min(pp.h_sr, pp.hn)
 * 
 */
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    __pyx_t_5 = __pyx_t_3;
  } else {
    __pyx_t_5 = __pyx_t_4;
  }
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 *     # (use these only for ducting or also for smooth-earth?)
 *     pp.h_st = min(pp.h_st, pp.h0)
 *     pp.h_sr = min(pp.h_sr, pp.hn)             # <<<<<<<<<<<<<<
 * 
 *     pp.duct_slope = (pp.h_sr - pp.h_st) / pp.distance
 */
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 *     pp.h_sr = min(pp.h_sr, pp.hn)
 * 
 *     pp.duct_slope = (pp.h_sr - pp.h_st) / pp.distance             # <<<<<<<<<<<<<<
 * 
 *     pp.h_te = pp.h_tg + pp.h0 - pp.h_st
 */
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 *     pp.duct_slope = (pp.h_sr - pp.h_st) / pp.distance
 * 
 *     pp.h_te = pp.h_tg + pp.h0 - pp.h_st             # <<<<<<<<<<<<<<
 *     pp.h_re = pp.h_rg + pp.hn - pp.h_sr
 * 
 */
  __pyx_v_pp->h_te = ((__pyx_v_pp->h_tg + __pyx_v_pp->h0) - __pyx_v_pp->h_st);

  /* "pycraf/pathprof/cyprop.pyx":654
 * 
 *     pp.h_te = pp.h_tg + pp.h0 - pp.h_st
 *     pp.h_re = pp.h_rg + pp.hn - pp.h_sr             # <<<<<<<<<<<<<<
 * 
 *     pp.a_e_50 = 6371. * 157. / (157. - pp.delta_N)
 */
  __pyx_v_pp->h_re = ((__pyx_v_pp->h_rg + __pyx_v_pp->hn) - __pyx_v_pp->h_sr);

  /* "pycraf/pathprof/cyprop.pyx":656
 *     pp.h_re = pp.h_rg + pp.hn - pp.h_sr
 * 
 *     pp.a_e_50 = 6371. * 157. / (157. - pp.delta_N)             # <<<<<<<<<<<<<<
 *     pp.a_e_b0 = 6371. * 3.
 * 
 */
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 * 
 *     pp.a_e_50 = 6371. * 157. / (157. - pp.delta_N)
 *     pp.a_e_b0 = 6371. * 3.             # <<<<<<<<<<<<<<
 * 
 *     if pp.version == 16:
 */
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  /* "pycraf/pathprof/cyprop.pyx":659
 *     pp.a_e_b0 = 6371. * 3.
 * 
 *     if pp.version == 16:             # <<<<<<<<<<<<<<
 *         (
 *             pp.path_type_50, pp.d_bp_50, pp.h_bp_50, pp.h_eff_50,
 */
  __pyx_t_6 = ((__pyx_v_pp->version == 16) != 0);
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    /* "pycraf/pathprof/cyprop.pyx":664
 *             pp.nu_bull_50, pp.nu_bull_idx_50,
 *             pp.S_tim_50, pp.S_rim_50, pp.S_tr_50
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 *     if pp.version == 16:
 *         (
 *             pp.path_type_50, pp.d_bp_50, pp.h_bp_50, pp.h_eff_50,             # <<<<<<<<<<<<<<
 *             pp.nu_bull_50, pp.nu_bull_idx_50,
 *             pp.S_tim_50, pp.S_rim_50, pp.S_tr_50
 */
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    __pyx_v_pp->h_eff_50 = __pyx_t_3;

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 *         (
 *             pp.path_type_50, pp.d_bp_50, pp.h_bp_50, pp.h_eff_50,
 *             pp.nu_bull_50, pp.nu_bull_idx_50,             # <<<<<<<<<<<<<<
 *             pp.S_tim_50, pp.S_rim_50, pp.S_tr_50
 *             ) = _diffraction_helper_v16(
 */
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 *             pp.path_type_50, pp.d_bp_50, pp.h_bp_50, pp.h_eff_50,
 *             pp.nu_bull_50, pp.nu_bull_idx_50,
 *             pp.S_tim_50, pp.S_rim_50, pp.S_tr_50             # <<<<<<<<<<<<<<
 *             ) = _diffraction_helper_v16(
 *             pp.a_e_50, pp.distance,
 */
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 *             pp.nu_bull_b0, pp.nu_bull_idx_b0,
 *             pp.S_tim_b0, pp.S_rim_b0, pp.S_tr_b0
 *             ) = _diffraction_helper_v16(             # <<<<<<<<<<<<<<
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 *             distances_view, heights_view,
 */
    __pyx_t_7 = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v16(__pyx_v_pp->a_e_b0, __pyx_v_pp->distance, __pyx_v_distances_view, __pyx_v_heights_view, __pyx_v_pp->h_ts, __pyx_v_pp->h_rs, __pyx_v_pp->wavelen);
    __pyx_t_10 = __pyx_t_7.f0;
    __pyx_t_13 = __pyx_t_7.f1;
    __pyx_t_12 = __pyx_t_7.f2;
    __pyx_t_11 = __pyx_t_7.f3;
    __pyx_t_9 = __pyx_t_7.f4;
    __pyx_t_8 = __pyx_t_7.f5;
    __pyx_t_3 = __pyx_t_7.f6;
    __pyx_t_5 = __pyx_t_7.f7;
    __pyx_t_4 = __pyx_t_7.f8;

    /* "pycraf/pathprof/cyprop.pyx":672
 * 
 *         (
 *             pp.path_type_b0, pp.d_bp_b0, pp.h_bp_b0, pp.h_eff_b0,             # <<<<<<<<<<<<<<
 *             pp.nu_bull_b0, pp.nu_bull_idx_b0,
 *             pp.S_tim_b0, pp.S_rim_b0, pp.S_tr_b0
 */
    __pyx_v_pp->path_type_b0 = __pyx_t_10;
    __pyx_v_pp->d_bp_b0 = __pyx_t_13;
    __pyx_v_pp->h_bp_b0 = __pyx_t_12;
    __pyx_v_pp->h_eff_b0 = __pyx_t_11;

    /* "pycraf/pathprof/cyprop.pyx":673
 *         (
 *             pp.path_type_b0, pp.d_bp_b0, pp.h_bp_b0, pp.h_eff_b0,
 *             pp.nu_bull_b0, pp.nu_bull_idx_b0,             # <<<<<<<<<<<<<<
 *             pp.S_tim_b0, pp.S_rim_b0, pp.S_tr_b0
 *             ) = _diffraction_helper_v16(
 */
    __pyx_v_pp->nu_bull_b0 = __pyx_t_9;
    __pyx_v_pp->nu_bull_idx_b0 = __pyx_t_8;

    /* "pycraf/pathprof/cyprop.pyx":674
 *             pp.path_type_b0, pp.d_bp_b0, pp.h_bp_b0, pp.h_eff_b0,
 *             pp.nu_bull_b0, pp.nu_bull_idx_b0,
 *             pp.S_tim_b0, pp.S_rim_b0, pp.S_tr_b0             # <<<<<<<<<<<<<<
 *             ) = _diffraction_helper_v16(
 *             pp.a_e_b0, pp.distance,
 */
    __pyx_v_pp->S_tim_b0 = __pyx_t_3;
    __pyx_v_pp->S_rim_b0 = __pyx_t_5;
    __pyx_v_pp->S_tr_b0 = __pyx_t_4;

    /* "pycraf/pathprof/cyprop.pyx":688
 *             pp.nu_bull_zh_50, pp.nu_bull_idx_zh_50,
 *             pp.S_tim_zh_50, pp.S_rim_zh_50, pp.S_tr_zh_50
 *             ) = _diffraction_helper_v16(             # <<<<<<<<<<<<<<
 *             pp.a_e_50, pp.distance,
 *             distances_view, zheights_view,
 */
    __pyx_t_7 = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v16(__pyx_v_pp->a_e_50, __pyx_v_pp->distance, __pyx_v_distances_view, __pyx_v_zheights_view, (__pyx_v_pp->h_ts - __pyx_v_pp->h_std), (__pyx_v_pp->h_rs - __pyx_v_pp->h_srd), __pyx_v_pp->wavelen);
    __pyx_t_8 = __pyx_t_7.f0;
    __pyx_t_4 = __pyx_t_7.f1;
    __pyx_t_5 = __pyx_t_7.f2;
    __pyx_t_3 = __pyx_t_7.f3;
    __pyx_t_9 = __pyx_t_7.f4;
    __pyx_t_10 = __pyx_t_7.f5;
    __pyx_t_11 = __pyx_t_7.f6;
    __pyx_t_12 = __pyx_t_7.f7;
    __pyx_t_13 = __pyx_t_7.f8;

    /* "pycraf/pathprof/cyprop.pyx":685
 * 
 *         (
 *             pp.path_type_zh_50, pp.d_bp_zh_50, pp.h_bp_zh_50, pp.h_eff_zh_50,             # <<<<<<<<<<<<<<
 *             pp.nu_bull_zh_50, pp.nu_bull_idx_zh_50,
 *             pp.S_tim_zh_50, pp.S_rim_zh_50, pp.S_tr_zh_50
 */
    __pyx_v_pp->path_type_zh_50 = __pyx_t_8;
    __pyx_v_pp->d_bp_zh_50 = __pyx_t_4;
    __pyx_v_pp->h_bp_zh_50 = __pyx_t_5;
    __pyx_v_pp->h_eff_zh_50 = __pyx_t_3;

    /* "pycraf/pathprof/cyprop.pyx":686
 *         (
 *             pp.path_type_zh_50, pp.d_bp_zh_50, pp.h_bp_zh_50, pp.h_eff_zh_50,
 *             pp.nu_bull_zh_50, pp.nu_bull_idx_zh_50,             # <<<<<<<<<<<<<<
 *             pp.S_tim_zh_50, pp.S_rim_zh_50, pp.S_tr_zh_50
 *             ) = _diffraction_helper_v16(
 */
    __pyx_v_pp->nu_bull_zh_50 = __pyx_t_9;
    __pyx_v_pp->nu_bull_idx_zh_50 = __pyx_t_10;

    /* "pycraf/pathprof/cyprop.pyx":687
 *             pp.path_type_zh_50, pp.d_bp_zh_50, pp.h_bp_zh_50, pp.h_eff_zh_50,
 *             pp.nu_bull_zh_50, pp.nu_bull_idx_zh_50,
 *             pp.S_tim_zh_50, pp.S_rim_zh_50, pp.S_tr_zh_50             # <<<<<<<<<<<<<<
 *             ) = _diffraction_helper_v16(
 *             pp.a_e_50, pp.distance,
 */
    __pyx_v_pp->S_tim_zh_50 = __pyx_t_11;
    __pyx_v_pp->S_rim_zh_50 = __pyx_t_12;
    __pyx_v_pp->S_tr_zh_50 = __pyx_t_13;

    /* "pycraf/pathprof/cyprop.pyx":699
 *             pp.nu_bull_zh_b0, pp.nu_bull_idx_zh_b0,
 *             pp.S_tim_zh_b0, pp.S_rim_zh_b0, pp.S_tr_zh_b0
 *             ) = _diffraction_helper_v16(             # <<<<<<<<<<<<<<
 *             pp.a_e_b0, pp.distance,
 *             distances_view, zheights_view,
 */
    __pyx_t_7 = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v16(__pyx_v_pp->a_e_b0, __pyx_v_pp->distance, __pyx_v_distances_view, __pyx_v_zheights_view, (__pyx_v_pp->h_ts - __pyx_v_pp->h_std), (__pyx_v_pp->h_rs - __pyx_v_pp->h_srd), __pyx_v_pp->wavelen);
    __pyx_t_10 = __pyx_t_7.f0;
    __pyx_t_13 = __pyx_t_7.f1;
    __pyx_t_12 = __pyx_t_7.f2;
    __pyx_t_11 = __pyx_t_7.f3;
    __pyx_t_9 = __pyx_t_7.f4;
    __pyx_t_8 = __pyx_t_7.f5;
    __pyx_t_3 = __pyx_t_7.f6;
    __pyx_t_5 = __pyx_t_7.f7;
    __pyx_t_4 = __pyx_t_7.f8;

    /* "pycraf/pathprof/cyprop.pyx":696
 * 
 *         (
 *             pp.path_type_zh_b0, pp.d_bp_zh_b0, pp.h_bp_zh_b0, pp.h_eff_zh_b0,             # <<<<<<<<<<<<<<
 *             pp.nu_bull_zh_b0, pp.nu_bull_idx_zh_b0,
 *             pp.S_tim_zh_b0, pp.S_rim_zh_b0, pp.S_tr_zh_b0
 */
    __pyx_v_pp->path_type_zh_b0 = __pyx_t_10;
    __pyx_v_pp->d_bp_zh_b0 = __pyx_t_13;
    __pyx_v_pp->h_bp_zh_b0 = __pyx_t_12;
    __pyx_v_pp->h_eff_zh_b0 = __pyx_t_11;

    /* "pycraf/pathprof/cyprop.pyx":697
 *         (
 *             pp.path_type_zh_b0, pp.d_bp_zh_b0, pp.h_bp_zh_b0, pp.h_eff_zh_b0,
 *             pp.nu_bull_zh_b0, pp.nu_bull_idx_zh_b0,             # <<<<<<<<<<<<<<
 *             pp.S_tim_zh_b0, pp.S_rim_zh_b0, pp.S_tr_zh_b0
 *             ) = _diffraction_helper_v16(
 */
    __pyx_v_pp->nu_bull_zh_b0 = __pyx_t_9;
    __pyx_v_pp->nu_bull_idx_zh_b0 = __pyx_t_8;

    /* "pycraf/pathprof/cyprop.pyx":698
 *             pp.path_type_zh_b0, pp.d_bp_zh_b0, pp.h_bp_zh_b0, pp.h_eff_zh_b0,
 *             pp.nu_bull_zh_b0, pp.nu_bull_idx_zh_b0,
 *             pp.S_tim_zh_b0, pp.S_rim_zh_b0, pp.S_tr_zh_b0             # <<<<<<<<<<<<<<
 *             ) = _diffraction_helper_v16(
 *             pp.a_e_b0, pp.distance,
 */
    __pyx_v_pp->S_tim_zh_b0 = __pyx_t_3;
    __pyx_v_pp->S_rim_zh_b0 = __pyx_t_5;
    __pyx_v_pp->S_tr_zh_b0 = __pyx_t_4;

    /* "pycraf/pathprof/cyprop.pyx":659
 *     pp.a_e_b0 = 6371. * 3.
 * 
 *     if pp.version == 16:             # <<<<<<<<<<<<<<
 *         (
 *             pp.path_type_50, pp.d_bp_50, pp.h_bp_50, pp.h_eff_50,
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":706
 *             )
 * 
 *     if pp.version == 14:             # <<<<<<<<<<<<<<
 * 
 *         (
 */
  __pyx_t_6 = ((__pyx_v_pp->version == 14) != 0);
  if (__pyx_t_6) {

    /* "pycraf/pathprof/cyprop.pyx":718
 *             pp.d_r50, pp.h_r50, pp.heff_r50,
 *             pp.nu_r50, pp.nu_rbeta,
 *             ) = _diffraction_helper_v14(             # <<<<<<<<<<<<<<
 *             pp.a_e_50, pp.a_e_b0, pp.distance,
 *             distances_view, heights_view,
 */
    __pyx_t_14 = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v14(__pyx_v_pp->a_e_50, __pyx_v_pp->a_e_b0, __pyx_v_pp->distance, __pyx_v_distances_view, __pyx_v_heights_view, __pyx_v_pp->h_ts, __pyx_v_pp->h_rs, __pyx_v_pp->wavelen);
    __pyx_t_4 = __pyx_t_14.f0;
    __pyx_t_8 = __pyx_t_14.f1;
    __pyx_t_5 = __pyx_t_14.f2;
    __pyx_t_3 = __pyx_t_14.f3;
    __pyx_t_9 = __pyx_t_14.f4;
    __pyx_t_11 = __pyx_t_14.f5;
    __pyx_t_12 = __pyx_t_14.f6;
    __pyx_t_13 = __pyx_t_14.f7;
    __pyx_t_10 = __pyx_t_14.f8;
    __pyx_t_15 = __pyx_t_14.f9;
    __pyx_t_16 = __pyx_t_14.f10;
    __pyx_t_17 = __pyx_t_14.f11;
    __pyx_t_18 = __pyx_t_14.f12;
    __pyx_t_19 = __pyx_t_14.f13;
    __pyx_t_20 = __pyx_t_14.f14;
    __pyx_t_21 = __pyx_t_14.f15;
    __pyx_t_22 = __pyx_t_14.f16;
    __pyx_t_23 = __pyx_t_14.f17;
    __pyx_t_24 = __pyx_t_14.f18;
    __pyx_t_25 = __pyx_t_14.f19;
    __pyx_t_26 = __pyx_t_14.f20;

    /* "pycraf/pathprof/cyprop.pyx":709
 * 
 *         (
 *             pp.zeta_m, pp.i_m50,             # <<<<<<<<<<<<<<
 *             pp.d_m50, pp.h_m50, pp.heff_m50,
 *             pp.nu_m50, pp.nu_mbeta,
 */
    __pyx_v_pp->zeta_m = __pyx_t_4;
    __pyx_v_pp->i_m50 = __pyx_t_8;

    /* "pycraf/pathprof/cyprop.pyx":710
 *         (
 *             pp.zeta_m, pp.i_m50,
 *             pp.d_m50, pp.h_m50, pp.heff_m50,             # <<<<<<<<<<<<<<
 *             pp.nu_m50, pp.nu_mbeta,
 *             pp.zeta_t, pp.i_t50,
 */
    __pyx_v_pp->d_m50 = __pyx_t_5;
    __pyx_v_pp->h_m50 = __pyx_t_3;
    __pyx_v_pp->heff_m50 = __pyx_t_9;

    /* "pycraf/pathprof/cyprop.pyx":711
 *             pp.zeta_m, pp.i_m50,
 *             pp.d_m50, pp.h_m50, pp.heff_m50,
 *             pp.nu_m50, pp.nu_mbeta,             # <<<<<<<<<<<<<<
 *             pp.zeta_t, pp.i_t50,
 *             pp.d_t50, pp.h_t50, pp.heff_t50,
 */
    __pyx_v_pp->nu_m50 = __pyx_t_11;
    __pyx_v_pp->nu_mbeta = __pyx_t_12;

    /* "pycraf/pathprof/cyprop.pyx":712
 *             pp.d_m50, pp.h_m50, pp.heff_m50,
 *             pp.nu_m50, pp.nu_mbeta,
 *             pp.zeta_t, pp.i_t50,             # <<<<<<<<<<<<<<
 *             pp.d_t50, pp.h_t50, pp.heff_t50,
 *             pp.nu_t50, pp.nu_tbeta,
 */
    __pyx_v_pp->zeta_t = __pyx_t_13;
    __pyx_v_pp->i_t50 = __pyx_t_10;

    /* "pycraf/pathprof/cyprop.pyx":713
 *             pp.nu_m50, pp.nu_mbeta,
 *             pp.zeta_t, pp.i_t50,
 *             pp.d_t50, pp.h_t50, pp.heff_t50,             # <<<<<<<<<<<<<<
 *             pp.nu_t50, pp.nu_tbeta,
 *             pp.zeta_r, pp.i_r50,
 */
    __pyx_v_pp->d_t50 = __pyx_t_15;
    __pyx_v_pp->h_t50 = __pyx_t_16;
    __pyx_v_pp->heff_t50 = __pyx_t_17;

    /* "pycraf/pathprof/cyprop.pyx":714
 *             pp.zeta_t, pp.i_t50,
 *             pp.d_t50, pp.h_t50, pp.heff_t50,
 *             pp.nu_t50, pp.nu_tbeta,             # <<<<<<<<<<<<<<
 *             pp.zeta_r, pp.i_r50,
 *             pp.d_r50, pp.h_r50, pp.heff_r50,
 */
    __pyx_v_pp->nu_t50 = __pyx_t_18;
    __pyx_v_pp->nu_tbeta = __pyx_t_19;

    /* "pycraf/pathprof/cyprop.pyx":715
 *             pp.d_t50, pp.h_t50, pp.heff_t50,
 *             pp.nu_t50, pp.nu_tbeta,
 *             pp.zeta_r, pp.i_r50,             # <<<<<<<<<<<<<<
 *             pp.d_r50, pp.h_r50, pp.heff_r50,
 *             pp.nu_r50, pp.nu_rbeta,
 */
    __pyx_v_pp->zeta_r = __pyx_t_20;
    __pyx_v_pp->i_r50 = __pyx_t_21;

    /* "pycraf/pathprof/cyprop.pyx":716
 *             pp.nu_t50, pp.nu_tbeta,
 *             pp.zeta_r, pp.i_r50,
 *             pp.d_r50, pp.h_r50, pp.heff_r50,             # <<<<<<<<<<<<<<
 *             pp.nu_r50, pp.nu_rbeta,
 *             ) = _diffraction_helper_v14(
 */
    __pyx_v_pp->d_r50 = __pyx_t_22;
    __pyx_v_pp->h_r50 = __pyx_t_23;
    __pyx_v_pp->heff_r50 = __pyx_t_24;

    /* "pycraf/pathprof/cyprop.pyx":717
 *             pp.zeta_r, pp.i_r50,
 *             pp.d_r50, pp.h_r50, pp.heff_r50,
 *             pp.nu_r50, pp.nu_rbeta,             # <<<<<<<<<<<<<<
 *             ) = _diffraction_helper_v14(
 *             pp.a_e_50, pp.a_e_b0, pp.distance,
 */
    __pyx_v_pp->nu_r50 = __pyx_t_25;
    __pyx_v_pp->nu_rbeta = __pyx_t_26;

    /* "pycraf/pathprof/cyprop.pyx":706
 *             )
 * 
 *     if pp.version == 14:             # <<<<<<<<<<<<<<
 * 
 *         (
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":732
 *     # _diffraction_helper for 50%
 * 
 *     if pp.version == 14:             # <<<<<<<<<<<<<<
 *         diff_edge_idx = pp.i_m50
 *     elif pp.version == 16:
 */
  switch (__pyx_v_pp->version) {
    case 14:

    /* "pycraf/pathprof/cyprop.pyx":733
 * 
 *     if pp.version == 14:
 *         diff_edge_idx = pp.i_m50             # <<<<<<<<<<<<<<
 *     elif pp.version == 16:
 *         diff_edge_idx = pp.nu_bull_idx_50
 */
    __pyx_t_21 = __pyx_v_pp->i_m50;
    __pyx_v_diff_edge_idx = __pyx_t_21;

    /* "pycraf/pathprof/cyprop.pyx":732
 *     # _diffraction_helper for 50%
 * 
 *     if pp.version == 14:             # <<<<<<<<<<<<<<
 *         diff_edge_idx = pp.i_m50
 *     elif pp.version == 16:
 */
    break;
    case 16:

    /* "pycraf/pathprof/cyprop.pyx":735
 *         diff_edge_idx = pp.i_m50
 *     elif pp.version == 16:
 *         diff_edge_idx = pp.nu_bull_idx_50             # <<<<<<<<<<<<<<
 * 
 *     (
 */
    __pyx_t_21 = __pyx_v_pp->nu_bull_idx_50;
    __pyx_v_diff_edge_idx = __pyx_t_21;

    /* "pycraf/pathprof/cyprop.pyx":734
 *     if pp.version == 14:
 *         diff_edge_idx = pp.i_m50
 *     elif pp.version == 16:             # <<<<<<<<<<<<<<
 *         diff_edge_idx = pp.nu_bull_idx_50
 * 
 */
    break;
    default: break;
  }

  /* "pycraf/pathprof/cyprop.pyx":741
 *         pp.theta,
 *         pp.d_lt, pp.d_lr, pp.h_m
 *         ) = _path_geometry_helper(             # <<<<<<<<<<<<<<
 *         pp.a_e_50, pp.distance,
 *         distances_view, heights_view,
 */
  __pyx_t_27 = __pyx_f_6pycraf_8pathprof_6cyprop__path_geometry_helper(__pyx_v_pp->a_e_50, __pyx_v_pp->distance, __pyx_v_distances_view, __pyx_v_heights_view, __pyx_v_pp->h_ts, __pyx_v_pp->h_rs, __pyx_v_pp->h_st, __pyx_v_diff_edge_idx, __pyx_v_pp->duct_slope);
  __pyx_t_21 = __pyx_t_27.f0;
  __pyx_t_26 = __pyx_t_27.f1;
  __pyx_t_25 = __pyx_t_27.f2;
  __pyx_t_24 = __pyx_t_27.f3;
  __pyx_t_23 = __pyx_t_27.f4;
  __pyx_t_22 = __pyx_t_27.f5;
  __pyx_t_20 = __pyx_t_27.f6;
  __pyx_t_19 = __pyx_t_27.f7;
  __pyx_t_18 = __pyx_t_27.f8;

  /* "pycraf/pathprof/cyprop.pyx":738
 * 
 *     (
 *         pp.path_type, pp.theta_t, pp.theta_r, pp.eps_pt, pp.eps_pr,             # <<<<<<<<<<<<<<
 *         pp.theta,
 *         pp.d_lt, pp.d_lr, pp.h_m
 */
  __pyx_v_pp->path_type = __pyx_t_21;
  __pyx_v_pp->theta_t = __pyx_t_26;
  __pyx_v_pp->theta_r = __pyx_t_25;
  __pyx_v_pp->eps_pt = __pyx_t_24;
  __pyx_v_pp->eps_pr = __pyx_t_23;

  /* "pycraf/pathprof/cyprop.pyx":739
 *     (
 *         pp.path_type, pp.theta_t, pp.theta_r, pp.eps_pt, pp.eps_pr,
 *         pp.theta,             # <<<<<<<<<<<<<<
 *         pp.d_lt, pp.d_lr, pp.h_m
 *         ) = _path_geometry_helper(
 */
  __pyx_v_pp->theta = __pyx_t_22;

  /* "pycraf/pathprof/cyprop.pyx":740
 *         pp.path_type, pp.theta_t, pp.theta_r, pp.eps_pt, pp.eps_pr,
 *         pp.theta,
 *         pp.d_lt, pp.d_lr, pp.h_m             # <<<<<<<<<<<<<<
 *         ) = _path_geometry_helper(
 *         pp.a_e_50, pp.distance,
 */
  __pyx_v_pp->d_lt = __pyx_t_20;
  __pyx_v_pp->d_lr = __pyx_t_19;
  __pyx_v_pp->h_m = __pyx_t_18;

  /* "pycraf/pathprof/cyprop.pyx":751
 *     # _time = time.time()
 * 
 *     return             # <<<<<<<<<<<<<<
 * 
 * 
 */
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":599
 * 
 * 
 * cdef void _process_path(             # <<<<<<<<<<<<<<
 *         ppstruct *pp,
 *         # double[::1] lons_view,
 */

  /* function exit code */
  __pyx_L0:;
}

/* "pycraf/pathprof/cyprop.pyx":754
 * 
 * 
 * cdef (double, double) _smooth_earth_heights(             # <<<<<<<<<<<<<<
 *         double distance,
 *         double[::1] d_v,
 */

static __pyx_ctuple_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__smooth_earth_heights(double __pyx_v_distance, __Pyx_memviewslice __pyx_v_d_v, __Pyx_memviewslice __pyx_v_h_v) {
  int __pyx_v_i;
  int __pyx_v_dsize;
  double __pyx_v_d;
  double __pyx_v_nu_1;
  double __pyx_v_nu_2;
  double __pyx_v_h_st;
  double __pyx_v_h_sr;
  __pyx_ctuple_double__and_double __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  Py_ssize_t __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  Py_ssize_t __pyx_t_11;
  __pyx_ctuple_double__and_double __pyx_t_12;

  /* "pycraf/pathprof/cyprop.pyx":762
 *     cdef:
 *         int i, dsize
 *         double d = distance, nu_1, nu_2             # <<<<<<<<<<<<<<
 *         double h_st, h_sr
 * 
 */
  __pyx_v_d = __pyx_v_distance;

  /* "pycraf/pathprof/cyprop.pyx":765
 *         double h_st, h_sr
 * 
 *     dsize = d_v.shape[0]             # <<<<<<<<<<<<<<
 * 
 *     nu_1 = 0.
 */
  __pyx_v_dsize = (__pyx_v_d_v.shape[0]);

  /* "pycraf/pathprof/cyprop.pyx":767
 *     dsize = d_v.shape[0]
 * 
 *     nu_1 = 0.             # <<<<<<<<<<<<<<
 *     nu_2 = 0.
 *     for i in range(1, dsize):
 */
  __pyx_v_nu_1 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":768
 * 
 *     nu_1 = 0.
 *     nu_2 = 0.             # <<<<<<<<<<<<<<
 *     for i in range(1, dsize):
 * 
 */
  __pyx_v_nu_2 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":769
 *     nu_1 = 0.
 *     nu_2 = 0.
 *     for i in range(1, dsize):             # <<<<<<<<<<<<<<
 * 
 *         nu_1 += (d_v[i] - d_v[i - 1]) * (h_v[i] + h_v[i - 1])
 */
  __pyx_t_1 = __pyx_v_dsize;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "pycraf/pathprof/cyprop.pyx":771
 *     for i in range(1, dsize):
 * 
 *         nu_1 += (d_v[i] - d_v[i - 1]) * (h_v[i] + h_v[i - 1])             # <<<<<<<<<<<<<<
 *         nu_2 += (d_v[i] - d_v[i - 1]) * (
 *             h_v[i] * (2 * d_v[i] + d_v[i - 1]) +
 */
    __pyx_t_4 = __pyx_v_i;
    __pyx_t_5 = (__pyx_v_i - 1);
    __pyx_t_6 = __pyx_v_i;
    __pyx_t_7 = (__pyx_v_i - 1);
    __pyx_v_nu_1 = (__pyx_v_nu_1 + (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) ))) - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))) * ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_6)) ))) + (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_7)) ))))));

    /* "pycraf/pathprof/cyprop.pyx":772
 * 
 *         nu_1 += (d_v[i] - d_v[i - 1]) * (h_v[i] + h_v[i - 1])
 *         nu_2 += (d_v[i] - d_v[i - 1]) * (             # <<<<<<<<<<<<<<
 *             h_v[i] * (2 * d_v[i] + d_v[i - 1]) +
 *             h_v[i - 1] * (d_v[i] + 2 * d_v[i - 1])
 */
    __pyx_t_7 = __pyx_v_i;
    __pyx_t_6 = (__pyx_v_i - 1);

    /* "pycraf/pathprof/cyprop.pyx":773
 *         nu_1 += (d_v[i] - d_v[i - 1]) * (h_v[i] + h_v[i - 1])
 *         nu_2 += (d_v[i] - d_v[i - 1]) * (
 *             h_v[i] * (2 * d_v[i] + d_v[i - 1]) +             # <<<<<<<<<<<<<<
 *             h_v[i - 1] * (d_v[i] + 2 * d_v[i - 1])
 *             )
 */
    __pyx_t_5 = __pyx_v_i;
    __pyx_t_4 = __pyx_v_i;
    __pyx_t_8 = (__pyx_v_i - 1);

    /* "pycraf/pathprof/cyprop.pyx":774
 *         nu_2 += (d_v[i] - d_v[i - 1]) * (
 *             h_v[i] * (2 * d_v[i] + d_v[i - 1]) +
 *             h_v[i - 1] * (d_v[i] + 2 * d_v[i - 1])             # <<<<<<<<<<<<<<
 *             )
 * 
 */
    __pyx_t_9 = (__pyx_v_i - 1);
    __pyx_t_10 = __pyx_v_i;
    __pyx_t_11 = (__pyx_v_i - 1);

    /* "pycraf/pathprof/cyprop.pyx":772
 * 
 *         nu_1 += (d_v[i] - d_v[i - 1]) * (h_v[i] + h_v[i - 1])
 *         nu_2 += (d_v[i] - d_v[i - 1]) * (             # <<<<<<<<<<<<<<
 *             h_v[i] * (2 * d_v[i] + d_v[i - 1]) +
 *             h_v[i - 1] * (d_v[i] + 2 * d_v[i - 1])
 */
    __pyx_v_nu_2 = (__pyx_v_nu_2 + (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) ))) - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))) * (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_5)) ))) * ((2.0 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) )))) + (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) ))))) + ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_9)) ))) * ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_10)) ))) + (2.0 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_11)) )))))))));
  }

  /* "pycraf/pathprof/cyprop.pyx":777
 *             )
 * 
 *     h_st = (2 * nu_1 * d - nu_2) / d ** 2             # <<<<<<<<<<<<<<
 *     h_sr = (nu_2 - nu_1 * d) / d ** 2
 * 
 */
  __pyx_v_h_st = ((((2.0 * __pyx_v_nu_1) * __pyx_v_d) - __pyx_v_nu_2) / pow(__pyx_v_d, 2.0));

  /* "pycraf/pathprof/cyprop.pyx":778
 * 
 *     h_st = (2 * nu_1 * d - nu_2) / d ** 2
 *     h_sr = (nu_2 - nu_1 * d) / d ** 2             # <<<<<<<<<<<<<<
 * 
 *     return (h_st, h_sr)
 */
  __pyx_v_h_sr = ((__pyx_v_nu_2 - (__pyx_v_nu_1 * __pyx_v_d)) / pow(__pyx_v_d, 2.0));

  /* "pycraf/pathprof/cyprop.pyx":780
 *     h_sr = (nu_2 - nu_1 * d) / d ** 2
 * 
 *     return (h_st, h_sr)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_12.f0 = __pyx_v_h_st;
  __pyx_t_12.f1 = __pyx_v_h_sr;
  __pyx_r = __pyx_t_12;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":754
 * 
 * 
 * cdef (double, double) _smooth_earth_heights(             # <<<<<<<<<<<<<<
 *         double distance,
 *         double[::1] d_v,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":783
 * 
 * 
 * cdef (double, double) _effective_antenna_heights(             # <<<<<<<<<<<<<<
 *         double distance,
 *         double[::1] d_v,
 */

static __pyx_ctuple_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__effective_antenna_heights(double __pyx_v_distance, __Pyx_memviewslice __pyx_v_d_v, __Pyx_memviewslice __pyx_v_h_v, double __pyx_v_h_ts, double __pyx_v_h_rs, double __pyx_v_h_st, double __pyx_v_h_sr) {
  int __pyx_v_i;
  int __pyx_v_dsize;
  double __pyx_v_d;
  double __pyx_v_h0;
  double __pyx_v_hn;
  double __pyx_v_H_i;
  double __pyx_v_h_obs;
  double __pyx_v_alpha_obt;
  double __pyx_v_alpha_obr;
  double __pyx_v_tmp_alpha_obt;
  double __pyx_v_tmp_alpha_obr;
  double __pyx_v_h_stp;
  double __pyx_v_h_srp;
  double __pyx_v_g_t;
  double __pyx_v_g_r;
  double __pyx_v_h_std;
  double __pyx_v_h_srd;
  __pyx_ctuple_double__and_double __pyx_r;
  Py_ssize_t __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  int __pyx_t_7;
  __pyx_ctuple_double__and_double __pyx_t_8;

  /* "pycraf/pathprof/cyprop.pyx":793
 *     cdef:
 *         int i, dsize
 *         double d = distance, h0, hn             # <<<<<<<<<<<<<<
 * 
 *         double H_i, h_obs = -1.e31, alpha_obt = -1.e31, alpha_obr = -1.e31
 */
  __pyx_v_d = __pyx_v_distance;

  /* "pycraf/pathprof/cyprop.pyx":795
 *         double d = distance, h0, hn
 * 
 *         double H_i, h_obs = -1.e31, alpha_obt = -1.e31, alpha_obr = -1.e31             # <<<<<<<<<<<<<<
 *         double tmp_alpha_obt, tmp_alpha_obr
 * 
 */
  __pyx_v_h_obs = -1.e31;
  __pyx_v_alpha_obt = -1.e31;
  __pyx_v_alpha_obr = -1.e31;

  /* "pycraf/pathprof/cyprop.pyx":801
 *         double h_std, h_srd
 * 
 *     dsize = d_v.shape[0]             # <<<<<<<<<<<<<<
 *     h0 = h_v[0]
 *     hn = h_v[dsize - 1]
 */
  __pyx_v_dsize = (__pyx_v_d_v.shape[0]);

  /* "pycraf/pathprof/cyprop.pyx":802
 * 
 *     dsize = d_v.shape[0]
 *     h0 = h_v[0]             # <<<<<<<<<<<<<<
 *     hn = h_v[dsize - 1]
 * 
 */
  __pyx_t_1 = 0;
  __pyx_v_h0 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_1)) )));

  /* "pycraf/pathprof/cyprop.pyx":803
 *     dsize = d_v.shape[0]
 *     h0 = h_v[0]
 *     hn = h_v[dsize - 1]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(1, dsize - 1):
 */
  __pyx_t_1 = (__pyx_v_dsize - 1);
  __pyx_v_hn = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_1)) )));

  /* "pycraf/pathprof/cyprop.pyx":805
 *     hn = h_v[dsize - 1]
 * 
 *     for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 * 
 *         H_i = h_v[i] - (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 */
  __pyx_t_2 = (__pyx_v_dsize - 1);
  __pyx_t_3 = __pyx_t_2;
  for (__pyx_t_4 = 1; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "pycraf/pathprof/cyprop.pyx":807
 *     for i in range(1, dsize - 1):
 * 
 *         H_i = h_v[i] - (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d             # <<<<<<<<<<<<<<
 *         tmp_alpha_obt = H_i / d_v[i]
 *         tmp_alpha_obr = H_i / (d - d_v[i])
 */
    __pyx_t_1 = __pyx_v_i;
    __pyx_t_5 = __pyx_v_i;
    __pyx_t_6 = __pyx_v_i;
    __pyx_v_H_i = ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_1)) ))) - (((__pyx_v_h_ts * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) ))))) + (__pyx_v_h_rs * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) ))))) / __pyx_v_d));

    /* "pycraf/pathprof/cyprop.pyx":808
 * 
 *         H_i = h_v[i] - (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *         tmp_alpha_obt = H_i / d_v[i]             # <<<<<<<<<<<<<<
 *         tmp_alpha_obr = H_i / (d - d_v[i])
 * 
 */
    __pyx_t_6 = __pyx_v_i;
    __pyx_v_tmp_alpha_obt = (__pyx_v_H_i / (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) ))));

    /* "pycraf/pathprof/cyprop.pyx":809
 *         H_i = h_v[i] - (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *         tmp_alpha_obt = H_i / d_v[i]
 *         tmp_alpha_obr = H_i / (d - d_v[i])             # <<<<<<<<<<<<<<
 * 
 *         if H_i > h_obs:
 */
    __pyx_t_6 = __pyx_v_i;
    __pyx_v_tmp_alpha_obr = (__pyx_v_H_i / (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))));

    /* "pycraf/pathprof/cyprop.pyx":811
 *         tmp_alpha_obr = H_i / (d - d_v[i])
 * 
 *         if H_i > h_obs:             # <<<<<<<<<<<<<<
 *             h_obs = H_i
 * 
 */
    __pyx_t_7 = ((__pyx_v_H_i > __pyx_v_h_obs) != 0);
    if (__pyx_t_7) {

      /* "pycraf/pathprof/cyprop.pyx":812
 * 
 *         if H_i > h_obs:
 *             h_obs = H_i             # <<<<<<<<<<<<<<
 * 
 *         if tmp_alpha_obt > alpha_obt:
 */
      __pyx_v_h_obs = __pyx_v_H_i;

      /* "pycraf/pathprof/cyprop.pyx":811
 *         tmp_alpha_obr = H_i / (d - d_v[i])
 * 
 *         if H_i > h_obs:             # <<<<<<<<<<<<<<
 *             h_obs = H_i
 * 
 */
    }

    /* "pycraf/pathprof/cyprop.pyx":814
 *             h_obs = H_i
 * 
 *         if tmp_alpha_obt > alpha_obt:             # <<<<<<<<<<<<<<
 *             alpha_obt = tmp_alpha_obt
 * 
 */
    __pyx_t_7 = ((__pyx_v_tmp_alpha_obt > __pyx_v_alpha_obt) != 0);
    if (__pyx_t_7) {

      /* "pycraf/pathprof/cyprop.pyx":815
 * 
 *         if tmp_alpha_obt > alpha_obt:
 *             alpha_obt = tmp_alpha_obt             # <<<<<<<<<<<<<<
 * 
 *         if tmp_alpha_obr > alpha_obr:
 */
      __pyx_v_alpha_obt = __pyx_v_tmp_alpha_obt;

      /* "pycraf/pathprof/cyprop.pyx":814
 *             h_obs = H_i
 * 
 *         if tmp_alpha_obt > alpha_obt:             # <<<<<<<<<<<<<<
 *             alpha_obt = tmp_alpha_obt
 * 
 */
    }

    /* "pycraf/pathprof/cyprop.pyx":817
 *             alpha_obt = tmp_alpha_obt
 * 
 *         if tmp_alpha_obr > alpha_obr:             # <<<<<<<<<<<<<<
 *             alpha_obr = tmp_alpha_obr
 * 
 */
    __pyx_t_7 = ((__pyx_v_tmp_alpha_obr > __pyx_v_alpha_obr) != 0);
    if (__pyx_t_7) {

      /* "pycraf/pathprof/cyprop.pyx":818
 * 
 *         if tmp_alpha_obr > alpha_obr:
 *             alpha_obr = tmp_alpha_obr             # <<<<<<<<<<<<<<
 * 
 *     if h_obs < 0.:
 */
      __pyx_v_alpha_obr = __pyx_v_tmp_alpha_obr;

      /* "pycraf/pathprof/cyprop.pyx":817
 *             alpha_obt = tmp_alpha_obt
 * 
 *         if tmp_alpha_obr > alpha_obr:             # <<<<<<<<<<<<<<
 *             alpha_obr = tmp_alpha_obr
 * 
 */
    }
  }

  /* "pycraf/pathprof/cyprop.pyx":820
 *             alpha_obr = tmp_alpha_obr
 * 
 *     if h_obs < 0.:             # <<<<<<<<<<<<<<
 *         h_stp = h_st
 *         h_srp = h_sr
 */
  __pyx_t_7 = ((__pyx_v_h_obs < 0.) != 0);
  if (__pyx_t_7) {

    /* "pycraf/pathprof/cyprop.pyx":821
 * 
 *     if h_obs < 0.:
 *         h_stp = h_st             # <<<<<<<<<<<<<<
 *         h_srp = h_sr
 *     else:
 */
    __pyx_v_h_stp = __pyx_v_h_st;

    /* "pycraf/pathprof/cyprop.pyx":822
 *     if h_obs < 0.:
 *         h_stp = h_st
 *         h_srp = h_sr             # <<<<<<<<<<<<<<
 *     else:
 *         g_t = alpha_obt / (alpha_obt + alpha_obr)
 */
    __pyx_v_h_srp = __pyx_v_h_sr;

    /* "pycraf/pathprof/cyprop.pyx":820
 *             alpha_obr = tmp_alpha_obr
 * 
 *     if h_obs < 0.:             # <<<<<<<<<<<<<<
 *         h_stp = h_st
 *         h_srp = h_sr
 */
    goto __pyx_L8;
  }

  /* "pycraf/pathprof/cyprop.pyx":824
 *         h_srp = h_sr
 *     else:
 *         g_t = alpha_obt / (alpha_obt + alpha_obr)             # <<<<<<<<<<<<<<
 *         g_r = alpha_obr / (alpha_obt + alpha_obr)
 * 
 */
  /*else*/ {
    __pyx_v_g_t = (__pyx_v_alpha_obt / (__pyx_v_alpha_obt + __pyx_v_alpha_obr));

    /* "pycraf/pathprof/cyprop.pyx":825
 *     else:
 *         g_t = alpha_obt / (alpha_obt + alpha_obr)
 *         g_r = alpha_obr / (alpha_obt + alpha_obr)             # <<<<<<<<<<<<<<
 * 
 *         h_stp = h_st - h_obs * g_t
 */
    __pyx_v_g_r = (__pyx_v_alpha_obr / (__pyx_v_alpha_obt + __pyx_v_alpha_obr));

    /* "pycraf/pathprof/cyprop.pyx":827
 *         g_r = alpha_obr / (alpha_obt + alpha_obr)
 * 
 *         h_stp = h_st - h_obs * g_t             # <<<<<<<<<<<<<<
 *         h_srp = h_sr - h_obs * g_r
 * 
 */
    __pyx_v_h_stp = (__pyx_v_h_st - (__pyx_v_h_obs * __pyx_v_g_t));

    /* "pycraf/pathprof/cyprop.pyx":828
 * 
 *         h_stp = h_st - h_obs * g_t
 *         h_srp = h_sr - h_obs * g_r             # <<<<<<<<<<<<<<
 * 
 *     if h_stp > h0:
 */
    __pyx_v_h_srp = (__pyx_v_h_sr - (__pyx_v_h_obs * __pyx_v_g_r));
  }
  __pyx_L8:;

  /* "pycraf/pathprof/cyprop.pyx":830
 *         h_srp = h_sr - h_obs * g_r
 * 
 *     if h_stp > h0:             # <<<<<<<<<<<<<<
 *         h_std = h0
 *     else:
 */
  __pyx_t_7 = ((__pyx_v_h_stp > __pyx_v_h0) != 0);
  if (__pyx_t_7) {

    /* "pycraf/pathprof/cyprop.pyx":831
 * 
 *     if h_stp > h0:
 *         h_std = h0             # <<<<<<<<<<<<<<
 *     else:
 *         h_std = h_stp
 */
    __pyx_v_h_std = __pyx_v_h0;

    /* "pycraf/pathprof/cyprop.pyx":830
 *         h_srp = h_sr - h_obs * g_r
 * 
 *     if h_stp > h0:             # <<<<<<<<<<<<<<
 *         h_std = h0
 *     else:
 */
    goto __pyx_L9;
  }

  /* "pycraf/pathprof/cyprop.pyx":833
 *         h_std = h0
 *     else:
 *         h_std = h_stp             # <<<<<<<<<<<<<<
 * 
 *     if h_srp > hn:
 */
  /*else*/ {
    __pyx_v_h_std = __pyx_v_h_stp;
  }
  __pyx_L9:;

  /* "pycraf/pathprof/cyprop.pyx":835
 *         h_std = h_stp
 * 
 *     if h_srp > hn:             # <<<<<<<<<<<<<<
 *         h_srd = hn
 *     else:
 */
  __pyx_t_7 = ((__pyx_v_h_srp > __pyx_v_hn) != 0);
  if (__pyx_t_7) {

    /* "pycraf/pathprof/cyprop.pyx":836
 * 
 *     if h_srp > hn:
 *         h_srd = hn             # <<<<<<<<<<<<<<
 *     else:
 *         h_srd = h_srp
 */
    __pyx_v_h_srd = __pyx_v_hn;

    /* "pycraf/pathprof/cyprop.pyx":835
 *         h_std = h_stp
 * 
 *     if h_srp > hn:             # <<<<<<<<<<<<<<
 *         h_srd = hn
 *     else:
 */
    goto __pyx_L10;
  }

  /* "pycraf/pathprof/cyprop.pyx":838
 *         h_srd = hn
 *     else:
 *         h_srd = h_srp             # <<<<<<<<<<<<<<
 * 
 *     return (h_std, h_srd)
 */
  /*else*/ {
    __pyx_v_h_srd = __pyx_v_h_srp;
  }
  __pyx_L10:;

  /* "pycraf/pathprof/cyprop.pyx":840
 *         h_srd = h_srp
 * 
 *     return (h_std, h_srd)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_8.f0 = __pyx_v_h_std;
  __pyx_t_8.f1 = __pyx_v_h_srd;
  __pyx_r = __pyx_t_8;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":783
 * 
 * 
 * cdef (double, double) _effective_antenna_heights(             # <<<<<<<<<<<<<<
 *         double distance,
 *         double[::1] d_v,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":843
 * 
 * 
 * cdef (             # <<<<<<<<<<<<<<
 *     int, double, double, double, double, int, double, double, double
 *     ) _diffraction_helper_v16(
 */

static __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v16(double __pyx_v_a_p, double __pyx_v_distance, __Pyx_memviewslice __pyx_v_d_v, __Pyx_memviewslice __pyx_v_h_v, double __pyx_v_h_ts, double __pyx_v_h_rs, double __pyx_v_wavelen) {
  int __pyx_v_i;
  int __pyx_v_dsize;
  double __pyx_v_d;
  double __pyx_v_lam;
  double __pyx_v_C_e500;
  int __pyx_v_path_type;
  double __pyx_v_slope_i;
  double __pyx_v_slope_j;
  double __pyx_v_S_tim;
  double __pyx_v_S_tr;
  double __pyx_v_S_rim;
  int __pyx_v_nu_bull_idx;
  double __pyx_v_d_bp;
  double __pyx_v_nu_bull;
  double __pyx_v_nu_i;
  double __pyx_v_h_bp;
  double __pyx_v_h_eff;
  double __pyx_v_h_eff_i;
  double __pyx_v_x;
  double __pyx_v_y;
  __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc __pyx_r;
  long __pyx_t_1;
  long __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  int __pyx_t_8;
  double __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  __pyx_ctuple_63771__int__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__etc __pyx_t_11;

  /* "pycraf/pathprof/cyprop.pyx":856
 *     cdef:
 *         int i, dsize
 *         double d = distance, lam = wavelen, C_e500 = 500. / a_p             # <<<<<<<<<<<<<<
 *         int path_type
 * 
 */
  __pyx_v_d = __pyx_v_distance;
  __pyx_v_lam = __pyx_v_wavelen;
  __pyx_v_C_e500 = (500. / __pyx_v_a_p);

  /* "pycraf/pathprof/cyprop.pyx":859
 *         int path_type
 * 
 *         double slope_i, slope_j, S_tim = -1.e31, S_tr, S_rim = -1.e31             # <<<<<<<<<<<<<<
 * 
 *         int nu_bull_idx
 */
  __pyx_v_S_tim = -1.e31;
  __pyx_v_S_rim = -1.e31;

  /* "pycraf/pathprof/cyprop.pyx":862
 * 
 *         int nu_bull_idx
 *         double d_bp, nu_bull = -1.e31, nu_i             # <<<<<<<<<<<<<<
 *         double h_bp, h_eff, h_eff_i
 *         double x, y  # temporary vars
 */
  __pyx_v_nu_bull = -1.e31;

  /* "pycraf/pathprof/cyprop.pyx":866
 *         double x, y  # temporary vars
 * 
 *     dsize = d_v.shape[0]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(1, dsize - 1):
 */
  __pyx_v_dsize = (__pyx_v_d_v.shape[0]);

  /* "pycraf/pathprof/cyprop.pyx":868
 *     dsize = d_v.shape[0]
 * 
 *     for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 * 
 *         slope_i = (
 */
  __pyx_t_1 = (__pyx_v_dsize - 1);
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "pycraf/pathprof/cyprop.pyx":871
 * 
 *         slope_i = (
 *             h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) - h_ts             # <<<<<<<<<<<<<<
 *             ) / d_v[i]
 * 
 */
    __pyx_t_4 = __pyx_v_i;
    __pyx_t_5 = __pyx_v_i;
    __pyx_t_6 = __pyx_v_i;

    /* "pycraf/pathprof/cyprop.pyx":872
 *         slope_i = (
 *             h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) - h_ts
 *             ) / d_v[i]             # <<<<<<<<<<<<<<
 * 
 *         if slope_i > S_tim:
 */
    __pyx_t_7 = __pyx_v_i;
    __pyx_v_slope_i = ((((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_4)) ))) + ((__pyx_v_C_e500 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))) * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))))) - __pyx_v_h_ts) / (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) ))));

    /* "pycraf/pathprof/cyprop.pyx":874
 *             ) / d_v[i]
 * 
 *         if slope_i > S_tim:             # <<<<<<<<<<<<<<
 *             S_tim = slope_i
 * 
 */
    __pyx_t_8 = ((__pyx_v_slope_i > __pyx_v_S_tim) != 0);
    if (__pyx_t_8) {

      /* "pycraf/pathprof/cyprop.pyx":875
 * 
 *         if slope_i > S_tim:
 *             S_tim = slope_i             # <<<<<<<<<<<<<<
 * 
 *     S_tr = (h_rs - h_ts) / d
 */
      __pyx_v_S_tim = __pyx_v_slope_i;

      /* "pycraf/pathprof/cyprop.pyx":874
 *             ) / d_v[i]
 * 
 *         if slope_i > S_tim:             # <<<<<<<<<<<<<<
 *             S_tim = slope_i
 * 
 */
    }
  }

  /* "pycraf/pathprof/cyprop.pyx":877
 *             S_tim = slope_i
 * 
 *     S_tr = (h_rs - h_ts) / d             # <<<<<<<<<<<<<<
 * 
 *     if S_tim < S_tr:
 */
  __pyx_v_S_tr = ((__pyx_v_h_rs - __pyx_v_h_ts) / __pyx_v_d);

  /* "pycraf/pathprof/cyprop.pyx":879
 *     S_tr = (h_rs - h_ts) / d
 * 
 *     if S_tim < S_tr:             # <<<<<<<<<<<<<<
 *         path_type = 0
 *     else:
 */
  __pyx_t_8 = ((__pyx_v_S_tim < __pyx_v_S_tr) != 0);
  if (__pyx_t_8) {

    /* "pycraf/pathprof/cyprop.pyx":880
 * 
 *     if S_tim < S_tr:
 *         path_type = 0             # <<<<<<<<<<<<<<
 *     else:
 *         path_type = 1
 */
    __pyx_v_path_type = 0;

    /* "pycraf/pathprof/cyprop.pyx":879
 *     S_tr = (h_rs - h_ts) / d
 * 
 *     if S_tim < S_tr:             # <<<<<<<<<<<<<<
 *         path_type = 0
 *     else:
 */
    goto __pyx_L6;
  }

  /* "pycraf/pathprof/cyprop.pyx":882
 *         path_type = 0
 *     else:
 *         path_type = 1             # <<<<<<<<<<<<<<
 * 
 *     if path_type == 1:
 */
  /*else*/ {
    __pyx_v_path_type = 1;
  }
  __pyx_L6:;

  /* "pycraf/pathprof/cyprop.pyx":884
 *         path_type = 1
 * 
 *     if path_type == 1:             # <<<<<<<<<<<<<<
 *         # transhorizon
 *         # find Bullington point, etc.
 */
  __pyx_t_8 = ((__pyx_v_path_type == 1) != 0);
  if (__pyx_t_8) {

    /* "pycraf/pathprof/cyprop.pyx":887
 *         # transhorizon
 *         # find Bullington point, etc.
 *         for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 *             slope_j = (
 *                 h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) - h_rs
 */
    __pyx_t_1 = (__pyx_v_dsize - 1);
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "pycraf/pathprof/cyprop.pyx":889
 *         for i in range(1, dsize - 1):
 *             slope_j = (
 *                 h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) - h_rs             # <<<<<<<<<<<<<<
 *                 ) / (d - d_v[i])
 * 
 */
      __pyx_t_7 = __pyx_v_i;
      __pyx_t_6 = __pyx_v_i;
      __pyx_t_5 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":890
 *             slope_j = (
 *                 h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) - h_rs
 *                 ) / (d - d_v[i])             # <<<<<<<<<<<<<<
 * 
 *             if slope_j > S_rim:
 */
      __pyx_t_4 = __pyx_v_i;
      __pyx_v_slope_j = ((((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_7)) ))) + ((__pyx_v_C_e500 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))) * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))))) - __pyx_v_h_rs) / (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) )))));

      /* "pycraf/pathprof/cyprop.pyx":892
 *                 ) / (d - d_v[i])
 * 
 *             if slope_j > S_rim:             # <<<<<<<<<<<<<<
 *                 S_rim = slope_j
 * 
 */
      __pyx_t_8 = ((__pyx_v_slope_j > __pyx_v_S_rim) != 0);
      if (__pyx_t_8) {

        /* "pycraf/pathprof/cyprop.pyx":893
 * 
 *             if slope_j > S_rim:
 *                 S_rim = slope_j             # <<<<<<<<<<<<<<
 * 
 *         d_bp = x = (h_rs - h_ts + S_rim * d) / (S_tim + S_rim)
 */
        __pyx_v_S_rim = __pyx_v_slope_j;

        /* "pycraf/pathprof/cyprop.pyx":892
 *                 ) / (d - d_v[i])
 * 
 *             if slope_j > S_rim:             # <<<<<<<<<<<<<<
 *                 S_rim = slope_j
 * 
 */
      }
    }

    /* "pycraf/pathprof/cyprop.pyx":895
 *                 S_rim = slope_j
 * 
 *         d_bp = x = (h_rs - h_ts + S_rim * d) / (S_tim + S_rim)             # <<<<<<<<<<<<<<
 *         y = a_p + h_ts / 1000 + d_bp * (S_tim / 1000 - d / 2 / a_p)
 *         h_bp = 1000 * (sqrt(x ** 2 + y ** 2) - a_p)
 */
    __pyx_t_9 = (((__pyx_v_h_rs - __pyx_v_h_ts) + (__pyx_v_S_rim * __pyx_v_d)) / (__pyx_v_S_tim + __pyx_v_S_rim));
    __pyx_v_d_bp = __pyx_t_9;
    __pyx_v_x = __pyx_t_9;

    /* "pycraf/pathprof/cyprop.pyx":896
 * 
 *         d_bp = x = (h_rs - h_ts + S_rim * d) / (S_tim + S_rim)
 *         y = a_p + h_ts / 1000 + d_bp * (S_tim / 1000 - d / 2 / a_p)             # <<<<<<<<<<<<<<
 *         h_bp = 1000 * (sqrt(x ** 2 + y ** 2) - a_p)
 * 
 */
    __pyx_v_y = ((__pyx_v_a_p + (__pyx_v_h_ts / 1000.0)) + (__pyx_v_d_bp * ((__pyx_v_S_tim / 1000.0) - ((__pyx_v_d / 2.0) / __pyx_v_a_p))));

    /* "pycraf/pathprof/cyprop.pyx":897
 *         d_bp = x = (h_rs - h_ts + S_rim * d) / (S_tim + S_rim)
 *         y = a_p + h_ts / 1000 + d_bp * (S_tim / 1000 - d / 2 / a_p)
 *         h_bp = 1000 * (sqrt(x ** 2 + y ** 2) - a_p)             # <<<<<<<<<<<<<<
 * 
 *         h_eff = (
 */
    __pyx_v_h_bp = (1000.0 * (sqrt((pow(__pyx_v_x, 2.0) + pow(__pyx_v_y, 2.0))) - __pyx_v_a_p));

    /* "pycraf/pathprof/cyprop.pyx":900
 * 
 *         h_eff = (
 *             h_ts + S_tim * d_bp -             # <<<<<<<<<<<<<<
 *             (
 *                 h_ts * (d - d_bp) + h_rs * d_bp
 */
    __pyx_v_h_eff = ((__pyx_v_h_ts + (__pyx_v_S_tim * __pyx_v_d_bp)) - (((__pyx_v_h_ts * (__pyx_v_d - __pyx_v_d_bp)) + (__pyx_v_h_rs * __pyx_v_d_bp)) / __pyx_v_d));

    /* "pycraf/pathprof/cyprop.pyx":906
 *             )
 * 
 *         nu_bull = h_eff * sqrt(             # <<<<<<<<<<<<<<
 *             0.002 * d / lam / d_bp / (d - d_bp)
 *             )  # == nu_b in Eq. 20
 */
    __pyx_v_nu_bull = (__pyx_v_h_eff * sqrt(((((0.002 * __pyx_v_d) / __pyx_v_lam) / __pyx_v_d_bp) / (__pyx_v_d - __pyx_v_d_bp))));

    /* "pycraf/pathprof/cyprop.pyx":909
 *             0.002 * d / lam / d_bp / (d - d_bp)
 *             )  # == nu_b in Eq. 20
 *         nu_bull_idx = -1  # dummy value             # <<<<<<<<<<<<<<
 * 
 *     else:
 */
    __pyx_v_nu_bull_idx = -1;

    /* "pycraf/pathprof/cyprop.pyx":884
 *         path_type = 1
 * 
 *     if path_type == 1:             # <<<<<<<<<<<<<<
 *         # transhorizon
 *         # find Bullington point, etc.
 */
    goto __pyx_L7;
  }

  /* "pycraf/pathprof/cyprop.pyx":916
 *         # find Bullington point, etc.
 * 
 *         S_rim = NAN             # <<<<<<<<<<<<<<
 * 
 *         # diffraction parameter
 */
  /*else*/ {
    __pyx_v_S_rim = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;

    /* "pycraf/pathprof/cyprop.pyx":919
 * 
 *         # diffraction parameter
 *         for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 *             h_eff_i = (
 *                 h_v[i] +
 */
    __pyx_t_1 = (__pyx_v_dsize - 1);
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "pycraf/pathprof/cyprop.pyx":921
 *         for i in range(1, dsize - 1):
 *             h_eff_i = (
 *                 h_v[i] +             # <<<<<<<<<<<<<<
 *                 C_e500 * d_v[i] * (d - d_v[i]) -
 *                 (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 */
      __pyx_t_4 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":922
 *             h_eff_i = (
 *                 h_v[i] +
 *                 C_e500 * d_v[i] * (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *                 )
 */
      __pyx_t_5 = __pyx_v_i;
      __pyx_t_6 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":923
 *                 h_v[i] +
 *                 C_e500 * d_v[i] * (d - d_v[i]) -
 *                 (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d             # <<<<<<<<<<<<<<
 *                 )
 *             nu_i = h_eff_i * sqrt(
 */
      __pyx_t_7 = __pyx_v_i;
      __pyx_t_10 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":922
 *             h_eff_i = (
 *                 h_v[i] +
 *                 C_e500 * d_v[i] * (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *                 )
 */
      __pyx_v_h_eff_i = (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_4)) ))) + ((__pyx_v_C_e500 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))) * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))))) - (((__pyx_v_h_ts * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) ))))) + (__pyx_v_h_rs * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_10)) ))))) / __pyx_v_d));

      /* "pycraf/pathprof/cyprop.pyx":926
 *                 )
 *             nu_i = h_eff_i * sqrt(
 *                 0.002 * d / lam / d_v[i] / (d - d_v[i])             # <<<<<<<<<<<<<<
 *                 )
 *             if nu_i > nu_bull:
 */
      __pyx_t_10 = __pyx_v_i;
      __pyx_t_7 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":925
 *                 (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *                 )
 *             nu_i = h_eff_i * sqrt(             # <<<<<<<<<<<<<<
 *                 0.002 * d / lam / d_v[i] / (d - d_v[i])
 *                 )
 */
      __pyx_v_nu_i = (__pyx_v_h_eff_i * sqrt(((((0.002 * __pyx_v_d) / __pyx_v_lam) / (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_10)) )))) / (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) )))))));

      /* "pycraf/pathprof/cyprop.pyx":928
 *                 0.002 * d / lam / d_v[i] / (d - d_v[i])
 *                 )
 *             if nu_i > nu_bull:             # <<<<<<<<<<<<<<
 *                 nu_bull = nu_i
 *                 nu_bull_idx = i
 */
      __pyx_t_8 = ((__pyx_v_nu_i > __pyx_v_nu_bull) != 0);
      if (__pyx_t_8) {

        /* "pycraf/pathprof/cyprop.pyx":929
 *                 )
 *             if nu_i > nu_bull:
 *                 nu_bull = nu_i             # <<<<<<<<<<<<<<
 *                 nu_bull_idx = i
 *                 h_eff = h_eff_i
 */
        __pyx_v_nu_bull = __pyx_v_nu_i;

        /* "pycraf/pathprof/cyprop.pyx":930
 *             if nu_i > nu_bull:
 *                 nu_bull = nu_i
 *                 nu_bull_idx = i             # <<<<<<<<<<<<<<
 *                 h_eff = h_eff_i
 * 
 */
        __pyx_v_nu_bull_idx = __pyx_v_i;

        /* "pycraf/pathprof/cyprop.pyx":931
 *                 nu_bull = nu_i
 *                 nu_bull_idx = i
 *                 h_eff = h_eff_i             # <<<<<<<<<<<<<<
 * 
 *         d_bp = x = d_v[nu_bull_idx]
 */
        __pyx_v_h_eff = __pyx_v_h_eff_i;

        /* "pycraf/pathprof/cyprop.pyx":928
 *                 0.002 * d / lam / d_v[i] / (d - d_v[i])
 *                 )
 *             if nu_i > nu_bull:             # <<<<<<<<<<<<<<
 *                 nu_bull = nu_i
 *                 nu_bull_idx = i
 */
      }
    }

    /* "pycraf/pathprof/cyprop.pyx":933
 *                 h_eff = h_eff_i
 * 
 *         d_bp = x = d_v[nu_bull_idx]             # <<<<<<<<<<<<<<
 *         y = a_p + h_ts / 1000 + d_bp * (S_tr / 1000 - d / 2 / a_p)
 *         h_bp = 1000 * (sqrt(x ** 2 + y ** 2) - a_p)
 */
    __pyx_t_7 = __pyx_v_nu_bull_idx;
    __pyx_t_9 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) )));
    __pyx_v_d_bp = __pyx_t_9;
    __pyx_v_x = __pyx_t_9;

    /* "pycraf/pathprof/cyprop.pyx":934
 * 
 *         d_bp = x = d_v[nu_bull_idx]
 *         y = a_p + h_ts / 1000 + d_bp * (S_tr / 1000 - d / 2 / a_p)             # <<<<<<<<<<<<<<
 *         h_bp = 1000 * (sqrt(x ** 2 + y ** 2) - a_p)
 * 
 */
    __pyx_v_y = ((__pyx_v_a_p + (__pyx_v_h_ts / 1000.0)) + (__pyx_v_d_bp * ((__pyx_v_S_tr / 1000.0) - ((__pyx_v_d / 2.0) / __pyx_v_a_p))));

    /* "pycraf/pathprof/cyprop.pyx":935
 *         d_bp = x = d_v[nu_bull_idx]
 *         y = a_p + h_ts / 1000 + d_bp * (S_tr / 1000 - d / 2 / a_p)
 *         h_bp = 1000 * (sqrt(x ** 2 + y ** 2) - a_p)             # <<<<<<<<<<<<<<
 * 
 *     return (
 */
    __pyx_v_h_bp = (1000.0 * (sqrt((pow(__pyx_v_x, 2.0) + pow(__pyx_v_y, 2.0))) - __pyx_v_a_p));
  }
  __pyx_L7:;

  /* "pycraf/pathprof/cyprop.pyx":938
 * 
 *     return (
 *         path_type, d_bp, h_bp, h_eff, nu_bull, nu_bull_idx, S_tim, S_rim, S_tr             # <<<<<<<<<<<<<<
 *         )
 * 
 */
  __pyx_t_11.f0 = __pyx_v_path_type;
  __pyx_t_11.f1 = __pyx_v_d_bp;
  __pyx_t_11.f2 = __pyx_v_h_bp;
  __pyx_t_11.f3 = __pyx_v_h_eff;
  __pyx_t_11.f4 = __pyx_v_nu_bull;
  __pyx_t_11.f5 = __pyx_v_nu_bull_idx;
  __pyx_t_11.f6 = __pyx_v_S_tim;
  __pyx_t_11.f7 = __pyx_v_S_rim;
  __pyx_t_11.f8 = __pyx_v_S_tr;
  __pyx_r = __pyx_t_11;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":843
 * 
 * 
 * cdef (             # <<<<<<<<<<<<<<
 *     int, double, double, double, double, int, double, double, double
 *     ) _diffraction_helper_v16(
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":942
 * 
 * 
 * cdef (             # <<<<<<<<<<<<<<
 *         double, int, double, double, double, double, double,
 *         double, int, double, double, double, double, double,
 */

static __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_helper_v14(double __pyx_v_a_e_50, double __pyx_v_a_e_beta, double __pyx_v_distance, __Pyx_memviewslice __pyx_v_d_v, __Pyx_memviewslice __pyx_v_h_v, double __pyx_v_h_ts, double __pyx_v_h_rs, double __pyx_v_wavelen) {
  int __pyx_v_i;
  int __pyx_v_dsize;
  double __pyx_v_d;
  double __pyx_v_lam;
  double __pyx_v_C_e500;
  double __pyx_v_C_b500;
  double __pyx_v_H_i;
  double __pyx_v_nu_i;
  double __pyx_v_zeta_m;
  double __pyx_v_zeta_t;
  double __pyx_v_zeta_r;
  int __pyx_v_i_m50;
  int __pyx_v_i_t50;
  int __pyx_v_i_r50;
  double __pyx_v_nu_m50;
  double __pyx_v_nu_mbeta;
  double __pyx_v_nu_t50;
  double __pyx_v_nu_tbeta;
  double __pyx_v_nu_r50;
  double __pyx_v_nu_rbeta;
  double __pyx_v_h50;
  double __pyx_v_d50;
  double __pyx_v_ht50;
  double __pyx_v_dt50;
  double __pyx_v_hr50;
  double __pyx_v_dr50;
  double __pyx_v_H50;
  double __pyx_v_Ht50;
  double __pyx_v_Hr50;
  __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc __pyx_r;
  long __pyx_t_1;
  long __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  Py_ssize_t __pyx_t_7;
  Py_ssize_t __pyx_t_8;
  int __pyx_t_9;
  __pyx_ctuple_175bf__double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__and_double__and_int__and_double__and_double__and_double__and_double__and_double__etc __pyx_t_10;
  int __pyx_t_11;
  int __pyx_t_12;

  /* "pycraf/pathprof/cyprop.pyx":957
 *     cdef:
 *         int i, dsize
 *         double d = distance, lam = wavelen             # <<<<<<<<<<<<<<
 *         double C_e500 = 500. / a_e_50
 *         double C_b500 = 500. / a_e_beta
 */
  __pyx_v_d = __pyx_v_distance;
  __pyx_v_lam = __pyx_v_wavelen;

  /* "pycraf/pathprof/cyprop.pyx":958
 *         int i, dsize
 *         double d = distance, lam = wavelen
 *         double C_e500 = 500. / a_e_50             # <<<<<<<<<<<<<<
 *         double C_b500 = 500. / a_e_beta
 * 
 */
  __pyx_v_C_e500 = (500. / __pyx_v_a_e_50);

  /* "pycraf/pathprof/cyprop.pyx":959
 *         double d = distance, lam = wavelen
 *         double C_e500 = 500. / a_e_50
 *         double C_b500 = 500. / a_e_beta             # <<<<<<<<<<<<<<
 * 
 *         double H_i, nu_i
 */
  __pyx_v_C_b500 = (500. / __pyx_v_a_e_beta);

  /* "pycraf/pathprof/cyprop.pyx":963
 *         double H_i, nu_i
 * 
 *         double zeta_m = NAN, zeta_t = NAN, zeta_r = NAN             # <<<<<<<<<<<<<<
 *         int i_m50 = -1, i_t50 = -1, i_r50 = -1
 *         # put default nu values to -1 (which leads to J(-1) == 0)
 */
  __pyx_v_zeta_m = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;
  __pyx_v_zeta_t = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;
  __pyx_v_zeta_r = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;

  /* "pycraf/pathprof/cyprop.pyx":964
 * 
 *         double zeta_m = NAN, zeta_t = NAN, zeta_r = NAN
 *         int i_m50 = -1, i_t50 = -1, i_r50 = -1             # <<<<<<<<<<<<<<
 *         # put default nu values to -1 (which leads to J(-1) == 0)
 *         double nu_m50 = -1.
 */
  __pyx_v_i_m50 = -1;
  __pyx_v_i_t50 = -1;
  __pyx_v_i_r50 = -1;

  /* "pycraf/pathprof/cyprop.pyx":966
 *         int i_m50 = -1, i_t50 = -1, i_r50 = -1
 *         # put default nu values to -1 (which leads to J(-1) == 0)
 *         double nu_m50 = -1.             # <<<<<<<<<<<<<<
 *         double nu_mbeta = -1.
 *         double nu_t50 = -1.
 */
  __pyx_v_nu_m50 = -1.;

  /* "pycraf/pathprof/cyprop.pyx":967
 *         # put default nu values to -1 (which leads to J(-1) == 0)
 *         double nu_m50 = -1.
 *         double nu_mbeta = -1.             # <<<<<<<<<<<<<<
 *         double nu_t50 = -1.
 *         double nu_tbeta = -1.
 */
  __pyx_v_nu_mbeta = -1.;

  /* "pycraf/pathprof/cyprop.pyx":968
 *         double nu_m50 = -1.
 *         double nu_mbeta = -1.
 *         double nu_t50 = -1.             # <<<<<<<<<<<<<<
 *         double nu_tbeta = -1.
 *         double nu_r50 = -1.
 */
  __pyx_v_nu_t50 = -1.;

  /* "pycraf/pathprof/cyprop.pyx":969
 *         double nu_mbeta = -1.
 *         double nu_t50 = -1.
 *         double nu_tbeta = -1.             # <<<<<<<<<<<<<<
 *         double nu_r50 = -1.
 *         double nu_rbeta = -1.
 */
  __pyx_v_nu_tbeta = -1.;

  /* "pycraf/pathprof/cyprop.pyx":970
 *         double nu_t50 = -1.
 *         double nu_tbeta = -1.
 *         double nu_r50 = -1.             # <<<<<<<<<<<<<<
 *         double nu_rbeta = -1.
 * 
 */
  __pyx_v_nu_r50 = -1.;

  /* "pycraf/pathprof/cyprop.pyx":971
 *         double nu_tbeta = -1.
 *         double nu_r50 = -1.
 *         double nu_rbeta = -1.             # <<<<<<<<<<<<<<
 * 
 *         # height profile locations of the various diffraction edges
 */
  __pyx_v_nu_rbeta = -1.;

  /* "pycraf/pathprof/cyprop.pyx":974
 * 
 *         # height profile locations of the various diffraction edges
 *         double h50 = 0.             # <<<<<<<<<<<<<<
 *         double d50 = 0.
 *         double ht50 = 0.
 */
  __pyx_v_h50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":975
 *         # height profile locations of the various diffraction edges
 *         double h50 = 0.
 *         double d50 = 0.             # <<<<<<<<<<<<<<
 *         double ht50 = 0.
 *         double dt50 = 0.
 */
  __pyx_v_d50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":976
 *         double h50 = 0.
 *         double d50 = 0.
 *         double ht50 = 0.             # <<<<<<<<<<<<<<
 *         double dt50 = 0.
 *         double hr50 = 0.
 */
  __pyx_v_ht50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":977
 *         double d50 = 0.
 *         double ht50 = 0.
 *         double dt50 = 0.             # <<<<<<<<<<<<<<
 *         double hr50 = 0.
 *         double dr50 = 0.
 */
  __pyx_v_dt50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":978
 *         double ht50 = 0.
 *         double dt50 = 0.
 *         double hr50 = 0.             # <<<<<<<<<<<<<<
 *         double dr50 = 0.
 * 
 */
  __pyx_v_hr50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":979
 *         double dt50 = 0.
 *         double hr50 = 0.
 *         double dr50 = 0.             # <<<<<<<<<<<<<<
 * 
 *         # clearance (or knife edge) heights of the various diffraction edges
 */
  __pyx_v_dr50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":982
 * 
 *         # clearance (or knife edge) heights of the various diffraction edges
 *         double H50 = 0.             # <<<<<<<<<<<<<<
 *         double Ht50 = 0.
 *         double Hr50 = 0.
 */
  __pyx_v_H50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":983
 *         # clearance (or knife edge) heights of the various diffraction edges
 *         double H50 = 0.
 *         double Ht50 = 0.             # <<<<<<<<<<<<<<
 *         double Hr50 = 0.
 * 
 */
  __pyx_v_Ht50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":984
 *         double H50 = 0.
 *         double Ht50 = 0.
 *         double Hr50 = 0.             # <<<<<<<<<<<<<<
 * 
 *     dsize = d_v.shape[0]
 */
  __pyx_v_Hr50 = 0.;

  /* "pycraf/pathprof/cyprop.pyx":986
 *         double Hr50 = 0.
 * 
 *     dsize = d_v.shape[0]             # <<<<<<<<<<<<<<
 * 
 *     # Eq 14-15
 */
  __pyx_v_dsize = (__pyx_v_d_v.shape[0]);

  /* "pycraf/pathprof/cyprop.pyx":989
 * 
 *     # Eq 14-15
 *     zeta_m = cos(atan(1.e-3 * (h_rs - h_ts) / d))             # <<<<<<<<<<<<<<
 * 
 *     nu_m50 = -1.e31
 */
  __pyx_v_zeta_m = cos(atan(((1.e-3 * (__pyx_v_h_rs - __pyx_v_h_ts)) / __pyx_v_d)));

  /* "pycraf/pathprof/cyprop.pyx":991
 *     zeta_m = cos(atan(1.e-3 * (h_rs - h_ts) / d))
 * 
 *     nu_m50 = -1.e31             # <<<<<<<<<<<<<<
 *     for i in range(1, dsize - 1):
 * 
 */
  __pyx_v_nu_m50 = -1.e31;

  /* "pycraf/pathprof/cyprop.pyx":992
 * 
 *     nu_m50 = -1.e31
 *     for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 * 
 *         H_i = (
 */
  __pyx_t_1 = (__pyx_v_dsize - 1);
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "pycraf/pathprof/cyprop.pyx":995
 * 
 *         H_i = (
 *             h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *             (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *             )
 */
    __pyx_t_4 = __pyx_v_i;
    __pyx_t_5 = __pyx_v_i;
    __pyx_t_6 = __pyx_v_i;

    /* "pycraf/pathprof/cyprop.pyx":996
 *         H_i = (
 *             h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) -
 *             (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d             # <<<<<<<<<<<<<<
 *             )
 *         nu_i = zeta_m * H_i * sqrt(
 */
    __pyx_t_7 = __pyx_v_i;
    __pyx_t_8 = __pyx_v_i;

    /* "pycraf/pathprof/cyprop.pyx":995
 * 
 *         H_i = (
 *             h_v[i] + C_e500 * d_v[i] * (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *             (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *             )
 */
    __pyx_v_H_i = (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_4)) ))) + ((__pyx_v_C_e500 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))) * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))))) - (((__pyx_v_h_ts * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) ))))) + (__pyx_v_h_rs * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) ))))) / __pyx_v_d));

    /* "pycraf/pathprof/cyprop.pyx":999
 *             )
 *         nu_i = zeta_m * H_i * sqrt(
 *             0.002 * d / lam / d_v[i] / (d - d_v[i])             # <<<<<<<<<<<<<<
 *             )
 *         if nu_i > nu_m50:
 */
    __pyx_t_8 = __pyx_v_i;
    __pyx_t_7 = __pyx_v_i;

    /* "pycraf/pathprof/cyprop.pyx":998
 *             (h_ts * (d - d_v[i]) + h_rs * d_v[i]) / d
 *             )
 *         nu_i = zeta_m * H_i * sqrt(             # <<<<<<<<<<<<<<
 *             0.002 * d / lam / d_v[i] / (d - d_v[i])
 *             )
 */
    __pyx_v_nu_i = ((__pyx_v_zeta_m * __pyx_v_H_i) * sqrt(((((0.002 * __pyx_v_d) / __pyx_v_lam) / (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) )))) / (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) )))))));

    /* "pycraf/pathprof/cyprop.pyx":1001
 *             0.002 * d / lam / d_v[i] / (d - d_v[i])
 *             )
 *         if nu_i > nu_m50:             # <<<<<<<<<<<<<<
 *             H50 = H_i
 *             nu_m50 = nu_i
 */
    __pyx_t_9 = ((__pyx_v_nu_i > __pyx_v_nu_m50) != 0);
    if (__pyx_t_9) {

      /* "pycraf/pathprof/cyprop.pyx":1002
 *             )
 *         if nu_i > nu_m50:
 *             H50 = H_i             # <<<<<<<<<<<<<<
 *             nu_m50 = nu_i
 *             i_m50 = i
 */
      __pyx_v_H50 = __pyx_v_H_i;

      /* "pycraf/pathprof/cyprop.pyx":1003
 *         if nu_i > nu_m50:
 *             H50 = H_i
 *             nu_m50 = nu_i             # <<<<<<<<<<<<<<
 *             i_m50 = i
 * 
 */
      __pyx_v_nu_m50 = __pyx_v_nu_i;

      /* "pycraf/pathprof/cyprop.pyx":1004
 *             H50 = H_i
 *             nu_m50 = nu_i
 *             i_m50 = i             # <<<<<<<<<<<<<<
 * 
 *     h50 = h_v[i_m50]
 */
      __pyx_v_i_m50 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1001
 *             0.002 * d / lam / d_v[i] / (d - d_v[i])
 *             )
 *         if nu_i > nu_m50:             # <<<<<<<<<<<<<<
 *             H50 = H_i
 *             nu_m50 = nu_i
 */
    }
  }

  /* "pycraf/pathprof/cyprop.pyx":1006
 *             i_m50 = i
 * 
 *     h50 = h_v[i_m50]             # <<<<<<<<<<<<<<
 *     d50 = d_v[i_m50]
 * 
 */
  __pyx_t_7 = __pyx_v_i_m50;
  __pyx_v_h50 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_7)) )));

  /* "pycraf/pathprof/cyprop.pyx":1007
 * 
 *     h50 = h_v[i_m50]
 *     d50 = d_v[i_m50]             # <<<<<<<<<<<<<<
 * 
 *     if nu_m50 < -0.78:
 */
  __pyx_t_7 = __pyx_v_i_m50;
  __pyx_v_d50 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) )));

  /* "pycraf/pathprof/cyprop.pyx":1009
 *     d50 = d_v[i_m50]
 * 
 *     if nu_m50 < -0.78:             # <<<<<<<<<<<<<<
 * 
 *         # every L will be zero
 */
  __pyx_t_9 = ((__pyx_v_nu_m50 < -0.78) != 0);
  if (__pyx_t_9) {

    /* "pycraf/pathprof/cyprop.pyx":1013
 *         # every L will be zero
 *         return (
 *             zeta_m, i_m50, d50, h50, H50, nu_m50, nu_mbeta,             # <<<<<<<<<<<<<<
 *             zeta_t, i_t50, dt50, ht50, Ht50, nu_t50, nu_tbeta,
 *             zeta_r, i_r50, dr50, hr50, Hr50, nu_r50, nu_rbeta,
 */
    __pyx_t_10.f0 = __pyx_v_zeta_m;
    __pyx_t_10.f1 = __pyx_v_i_m50;
    __pyx_t_10.f2 = __pyx_v_d50;
    __pyx_t_10.f3 = __pyx_v_h50;
    __pyx_t_10.f4 = __pyx_v_H50;
    __pyx_t_10.f5 = __pyx_v_nu_m50;
    __pyx_t_10.f6 = __pyx_v_nu_mbeta;
    __pyx_t_10.f7 = __pyx_v_zeta_t;
    __pyx_t_10.f8 = __pyx_v_i_t50;
    __pyx_t_10.f9 = __pyx_v_dt50;
    __pyx_t_10.f10 = __pyx_v_ht50;
    __pyx_t_10.f11 = __pyx_v_Ht50;
    __pyx_t_10.f12 = __pyx_v_nu_t50;
    __pyx_t_10.f13 = __pyx_v_nu_tbeta;
    __pyx_t_10.f14 = __pyx_v_zeta_r;
    __pyx_t_10.f15 = __pyx_v_i_r50;
    __pyx_t_10.f16 = __pyx_v_dr50;
    __pyx_t_10.f17 = __pyx_v_hr50;
    __pyx_t_10.f18 = __pyx_v_Hr50;
    __pyx_t_10.f19 = __pyx_v_nu_r50;
    __pyx_t_10.f20 = __pyx_v_nu_rbeta;
    __pyx_r = __pyx_t_10;
    goto __pyx_L0;

    /* "pycraf/pathprof/cyprop.pyx":1009
 *     d50 = d_v[i_m50]
 * 
 *     if nu_m50 < -0.78:             # <<<<<<<<<<<<<<
 * 
 *         # every L will be zero
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1020
 *     # calculate principle edge for beta
 *     H_i = (
 *         h50 + C_b500 * d50 * (d - d50) -             # <<<<<<<<<<<<<<
 *         (h_ts * (d - d50) + h_rs * d50) / d
 *         )
 */
  __pyx_v_H_i = ((__pyx_v_h50 + ((__pyx_v_C_b500 * __pyx_v_d50) * (__pyx_v_d - __pyx_v_d50))) - (((__pyx_v_h_ts * (__pyx_v_d - __pyx_v_d50)) + (__pyx_v_h_rs * __pyx_v_d50)) / __pyx_v_d));

  /* "pycraf/pathprof/cyprop.pyx":1023
 *         (h_ts * (d - d50) + h_rs * d50) / d
 *         )
 *     nu_mbeta = zeta_m * H_i * sqrt(             # <<<<<<<<<<<<<<
 *         0.002 * d / lam / d50 / (d - d50)
 *         )
 */
  __pyx_v_nu_mbeta = ((__pyx_v_zeta_m * __pyx_v_H_i) * sqrt(((((0.002 * __pyx_v_d) / __pyx_v_lam) / __pyx_v_d50) / (__pyx_v_d - __pyx_v_d50))));

  /* "pycraf/pathprof/cyprop.pyx":1027
 *         )
 * 
 *     if i_m50 > 1:             # <<<<<<<<<<<<<<
 * 
 *         # calculate transmitter-side secondary edge
 */
  __pyx_t_9 = ((__pyx_v_i_m50 > 1) != 0);
  if (__pyx_t_9) {

    /* "pycraf/pathprof/cyprop.pyx":1032
 * 
 *         # Eq 17-18
 *         zeta_t = cos(atan(1.e-3 * (h50 - h_ts) / d50))             # <<<<<<<<<<<<<<
 *         nu_t50 = -1.e31
 *         for i in range(1, i_m50):
 */
    __pyx_v_zeta_t = cos(atan(((1.e-3 * (__pyx_v_h50 - __pyx_v_h_ts)) / __pyx_v_d50)));

    /* "pycraf/pathprof/cyprop.pyx":1033
 *         # Eq 17-18
 *         zeta_t = cos(atan(1.e-3 * (h50 - h_ts) / d50))
 *         nu_t50 = -1.e31             # <<<<<<<<<<<<<<
 *         for i in range(1, i_m50):
 * 
 */
    __pyx_v_nu_t50 = -1.e31;

    /* "pycraf/pathprof/cyprop.pyx":1034
 *         zeta_t = cos(atan(1.e-3 * (h50 - h_ts) / d50))
 *         nu_t50 = -1.e31
 *         for i in range(1, i_m50):             # <<<<<<<<<<<<<<
 * 
 *             H_i = (
 */
    __pyx_t_3 = __pyx_v_i_m50;
    __pyx_t_11 = __pyx_t_3;
    for (__pyx_t_12 = 1; __pyx_t_12 < __pyx_t_11; __pyx_t_12+=1) {
      __pyx_v_i = __pyx_t_12;

      /* "pycraf/pathprof/cyprop.pyx":1037
 * 
 *             H_i = (
 *                 h_v[i] + C_e500 * d_v[i] * (d50 - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (h_ts * (d50 - d_v[i]) + h50 * d_v[i]) / d50
 *                 )
 */
      __pyx_t_7 = __pyx_v_i;
      __pyx_t_8 = __pyx_v_i;
      __pyx_t_6 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1038
 *             H_i = (
 *                 h_v[i] + C_e500 * d_v[i] * (d50 - d_v[i]) -
 *                 (h_ts * (d50 - d_v[i]) + h50 * d_v[i]) / d50             # <<<<<<<<<<<<<<
 *                 )
 *             nu_i = zeta_t * H_i * sqrt(
 */
      __pyx_t_5 = __pyx_v_i;
      __pyx_t_4 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1037
 * 
 *             H_i = (
 *                 h_v[i] + C_e500 * d_v[i] * (d50 - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (h_ts * (d50 - d_v[i]) + h50 * d_v[i]) / d50
 *                 )
 */
      __pyx_v_H_i = (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_7)) ))) + ((__pyx_v_C_e500 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) )))) * (__pyx_v_d50 - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))))) - (((__pyx_v_h_ts * (__pyx_v_d50 - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) ))))) + (__pyx_v_h50 * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) ))))) / __pyx_v_d50));

      /* "pycraf/pathprof/cyprop.pyx":1041
 *                 )
 *             nu_i = zeta_t * H_i * sqrt(
 *                 0.002 * d50 / lam / d_v[i] / (d50 - d_v[i])             # <<<<<<<<<<<<<<
 *                 )
 *             if nu_i > nu_t50:
 */
      __pyx_t_4 = __pyx_v_i;
      __pyx_t_5 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1040
 *                 (h_ts * (d50 - d_v[i]) + h50 * d_v[i]) / d50
 *                 )
 *             nu_i = zeta_t * H_i * sqrt(             # <<<<<<<<<<<<<<
 *                 0.002 * d50 / lam / d_v[i] / (d50 - d_v[i])
 *                 )
 */
      __pyx_v_nu_i = ((__pyx_v_zeta_t * __pyx_v_H_i) * sqrt(((((0.002 * __pyx_v_d50) / __pyx_v_lam) / (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) )))) / (__pyx_v_d50 - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))))));

      /* "pycraf/pathprof/cyprop.pyx":1043
 *                 0.002 * d50 / lam / d_v[i] / (d50 - d_v[i])
 *                 )
 *             if nu_i > nu_t50:             # <<<<<<<<<<<<<<
 *                 Ht50 = H_i
 *                 nu_t50 = nu_i
 */
      __pyx_t_9 = ((__pyx_v_nu_i > __pyx_v_nu_t50) != 0);
      if (__pyx_t_9) {

        /* "pycraf/pathprof/cyprop.pyx":1044
 *                 )
 *             if nu_i > nu_t50:
 *                 Ht50 = H_i             # <<<<<<<<<<<<<<
 *                 nu_t50 = nu_i
 *                 i_t50 = i
 */
        __pyx_v_Ht50 = __pyx_v_H_i;

        /* "pycraf/pathprof/cyprop.pyx":1045
 *             if nu_i > nu_t50:
 *                 Ht50 = H_i
 *                 nu_t50 = nu_i             # <<<<<<<<<<<<<<
 *                 i_t50 = i
 * 
 */
        __pyx_v_nu_t50 = __pyx_v_nu_i;

        /* "pycraf/pathprof/cyprop.pyx":1046
 *                 Ht50 = H_i
 *                 nu_t50 = nu_i
 *                 i_t50 = i             # <<<<<<<<<<<<<<
 * 
 *         ht50 = h_v[i_t50]
 */
        __pyx_v_i_t50 = __pyx_v_i;

        /* "pycraf/pathprof/cyprop.pyx":1043
 *                 0.002 * d50 / lam / d_v[i] / (d50 - d_v[i])
 *                 )
 *             if nu_i > nu_t50:             # <<<<<<<<<<<<<<
 *                 Ht50 = H_i
 *                 nu_t50 = nu_i
 */
      }
    }

    /* "pycraf/pathprof/cyprop.pyx":1048
 *                 i_t50 = i
 * 
 *         ht50 = h_v[i_t50]             # <<<<<<<<<<<<<<
 *         dt50 = d_v[i_t50]
 * 
 */
    __pyx_t_5 = __pyx_v_i_t50;
    __pyx_v_ht50 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_5)) )));

    /* "pycraf/pathprof/cyprop.pyx":1049
 * 
 *         ht50 = h_v[i_t50]
 *         dt50 = d_v[i_t50]             # <<<<<<<<<<<<<<
 * 
 *         # calculate beta
 */
    __pyx_t_5 = __pyx_v_i_t50;
    __pyx_v_dt50 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )));

    /* "pycraf/pathprof/cyprop.pyx":1053
 *         # calculate beta
 *         H_i = (
 *             ht50 + C_b500 * dt50 * (d50 - dt50) -             # <<<<<<<<<<<<<<
 *             (h_ts * (d50 - dt50) + h50 * dt50) / d50
 *             )
 */
    __pyx_v_H_i = ((__pyx_v_ht50 + ((__pyx_v_C_b500 * __pyx_v_dt50) * (__pyx_v_d50 - __pyx_v_dt50))) - (((__pyx_v_h_ts * (__pyx_v_d50 - __pyx_v_dt50)) + (__pyx_v_h50 * __pyx_v_dt50)) / __pyx_v_d50));

    /* "pycraf/pathprof/cyprop.pyx":1056
 *             (h_ts * (d50 - dt50) + h50 * dt50) / d50
 *             )
 *         nu_tbeta = zeta_t * H_i * sqrt(             # <<<<<<<<<<<<<<
 *             0.002 * d50 / lam / dt50 / (d50 - dt50)
 *             )
 */
    __pyx_v_nu_tbeta = ((__pyx_v_zeta_t * __pyx_v_H_i) * sqrt(((((0.002 * __pyx_v_d50) / __pyx_v_lam) / __pyx_v_dt50) / (__pyx_v_d50 - __pyx_v_dt50))));

    /* "pycraf/pathprof/cyprop.pyx":1061
 * 
 *         # sanity:
 *         if nu_t50 < -0.78:             # <<<<<<<<<<<<<<
 *             nu_tbeta = -1.
 * 
 */
    __pyx_t_9 = ((__pyx_v_nu_t50 < -0.78) != 0);
    if (__pyx_t_9) {

      /* "pycraf/pathprof/cyprop.pyx":1062
 *         # sanity:
 *         if nu_t50 < -0.78:
 *             nu_tbeta = -1.             # <<<<<<<<<<<<<<
 * 
 *     if i_m50 + 1 < dsize - 1:
 */
      __pyx_v_nu_tbeta = -1.;

      /* "pycraf/pathprof/cyprop.pyx":1061
 * 
 *         # sanity:
 *         if nu_t50 < -0.78:             # <<<<<<<<<<<<<<
 *             nu_tbeta = -1.
 * 
 */
    }

    /* "pycraf/pathprof/cyprop.pyx":1027
 *         )
 * 
 *     if i_m50 > 1:             # <<<<<<<<<<<<<<
 * 
 *         # calculate transmitter-side secondary edge
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1064
 *             nu_tbeta = -1.
 * 
 *     if i_m50 + 1 < dsize - 1:             # <<<<<<<<<<<<<<
 * 
 *         # calculate receiver-side secondary edge
 */
  __pyx_t_9 = (((__pyx_v_i_m50 + 1) < (__pyx_v_dsize - 1)) != 0);
  if (__pyx_t_9) {

    /* "pycraf/pathprof/cyprop.pyx":1069
 * 
 *         # Eq 20-21
 *         zeta_r = cos(atan(1.e-3 * (h_rs - h50) / (d - d50)))             # <<<<<<<<<<<<<<
 *         nu_r50 = -1.e31
 *         for i in range(i_m50 + 1, dsize - 1):
 */
    __pyx_v_zeta_r = cos(atan(((1.e-3 * (__pyx_v_h_rs - __pyx_v_h50)) / (__pyx_v_d - __pyx_v_d50))));

    /* "pycraf/pathprof/cyprop.pyx":1070
 *         # Eq 20-21
 *         zeta_r = cos(atan(1.e-3 * (h_rs - h50) / (d - d50)))
 *         nu_r50 = -1.e31             # <<<<<<<<<<<<<<
 *         for i in range(i_m50 + 1, dsize - 1):
 * 
 */
    __pyx_v_nu_r50 = -1.e31;

    /* "pycraf/pathprof/cyprop.pyx":1071
 *         zeta_r = cos(atan(1.e-3 * (h_rs - h50) / (d - d50)))
 *         nu_r50 = -1.e31
 *         for i in range(i_m50 + 1, dsize - 1):             # <<<<<<<<<<<<<<
 * 
 *             H_i = (
 */
    __pyx_t_1 = (__pyx_v_dsize - 1);
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = (__pyx_v_i_m50 + 1); __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "pycraf/pathprof/cyprop.pyx":1074
 * 
 *             H_i = (
 *                 h_v[i] + C_e500 * (d_v[i] - d50) * (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (h50 * (d - d_v[i]) + h_rs * (d_v[i] - d50)) / (d - d50)
 *                 )
 */
      __pyx_t_5 = __pyx_v_i;
      __pyx_t_4 = __pyx_v_i;
      __pyx_t_6 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1075
 *             H_i = (
 *                 h_v[i] + C_e500 * (d_v[i] - d50) * (d - d_v[i]) -
 *                 (h50 * (d - d_v[i]) + h_rs * (d_v[i] - d50)) / (d - d50)             # <<<<<<<<<<<<<<
 *                 )
 *             nu_i = zeta_r * H_i * sqrt(
 */
      __pyx_t_8 = __pyx_v_i;
      __pyx_t_7 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1074
 * 
 *             H_i = (
 *                 h_v[i] + C_e500 * (d_v[i] - d50) * (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (h50 * (d - d_v[i]) + h_rs * (d_v[i] - d50)) / (d - d50)
 *                 )
 */
      __pyx_v_H_i = (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_5)) ))) + ((__pyx_v_C_e500 * ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) ))) - __pyx_v_d50)) * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )))))) - (((__pyx_v_h50 * (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) ))))) + (__pyx_v_h_rs * ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) ))) - __pyx_v_d50))) / (__pyx_v_d - __pyx_v_d50)));

      /* "pycraf/pathprof/cyprop.pyx":1078
 *                 )
 *             nu_i = zeta_r * H_i * sqrt(
 *                 0.002 * (d - d50) / lam / (d_v[i] - d50) / (d - d_v[i])             # <<<<<<<<<<<<<<
 *                 )
 *             if nu_i > nu_r50:
 */
      __pyx_t_7 = __pyx_v_i;
      __pyx_t_8 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1077
 *                 (h50 * (d - d_v[i]) + h_rs * (d_v[i] - d50)) / (d - d50)
 *                 )
 *             nu_i = zeta_r * H_i * sqrt(             # <<<<<<<<<<<<<<
 *                 0.002 * (d - d50) / lam / (d_v[i] - d50) / (d - d_v[i])
 *                 )
 */
      __pyx_v_nu_i = ((__pyx_v_zeta_r * __pyx_v_H_i) * sqrt(((((0.002 * (__pyx_v_d - __pyx_v_d50)) / __pyx_v_lam) / ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_7)) ))) - __pyx_v_d50)) / (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) )))))));

      /* "pycraf/pathprof/cyprop.pyx":1080
 *                 0.002 * (d - d50) / lam / (d_v[i] - d50) / (d - d_v[i])
 *                 )
 *             if nu_i > nu_r50:             # <<<<<<<<<<<<<<
 *                 Hr50 = H_i
 *                 nu_r50 = nu_i
 */
      __pyx_t_9 = ((__pyx_v_nu_i > __pyx_v_nu_r50) != 0);
      if (__pyx_t_9) {

        /* "pycraf/pathprof/cyprop.pyx":1081
 *                 )
 *             if nu_i > nu_r50:
 *                 Hr50 = H_i             # <<<<<<<<<<<<<<
 *                 nu_r50 = nu_i
 *                 i_r50 = i
 */
        __pyx_v_Hr50 = __pyx_v_H_i;

        /* "pycraf/pathprof/cyprop.pyx":1082
 *             if nu_i > nu_r50:
 *                 Hr50 = H_i
 *                 nu_r50 = nu_i             # <<<<<<<<<<<<<<
 *                 i_r50 = i
 * 
 */
        __pyx_v_nu_r50 = __pyx_v_nu_i;

        /* "pycraf/pathprof/cyprop.pyx":1083
 *                 Hr50 = H_i
 *                 nu_r50 = nu_i
 *                 i_r50 = i             # <<<<<<<<<<<<<<
 * 
 *         hr50 = h_v[i_r50]
 */
        __pyx_v_i_r50 = __pyx_v_i;

        /* "pycraf/pathprof/cyprop.pyx":1080
 *                 0.002 * (d - d50) / lam / (d_v[i] - d50) / (d - d_v[i])
 *                 )
 *             if nu_i > nu_r50:             # <<<<<<<<<<<<<<
 *                 Hr50 = H_i
 *                 nu_r50 = nu_i
 */
      }
    }

    /* "pycraf/pathprof/cyprop.pyx":1085
 *                 i_r50 = i
 * 
 *         hr50 = h_v[i_r50]             # <<<<<<<<<<<<<<
 *         dr50 = d_v[i_r50]
 * 
 */
    __pyx_t_8 = __pyx_v_i_r50;
    __pyx_v_hr50 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_8)) )));

    /* "pycraf/pathprof/cyprop.pyx":1086
 * 
 *         hr50 = h_v[i_r50]
 *         dr50 = d_v[i_r50]             # <<<<<<<<<<<<<<
 * 
 *         # calculate beta
 */
    __pyx_t_8 = __pyx_v_i_r50;
    __pyx_v_dr50 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_8)) )));

    /* "pycraf/pathprof/cyprop.pyx":1090
 *         # calculate beta
 *         H_i = (
 *             hr50 + C_e500 * (dr50 - d50) * (d - dr50) -             # <<<<<<<<<<<<<<
 *             (h50 * (d - dr50) + h_rs * (dr50 - d50)) / (d - d50)
 *             )
 */
    __pyx_v_H_i = ((__pyx_v_hr50 + ((__pyx_v_C_e500 * (__pyx_v_dr50 - __pyx_v_d50)) * (__pyx_v_d - __pyx_v_dr50))) - (((__pyx_v_h50 * (__pyx_v_d - __pyx_v_dr50)) + (__pyx_v_h_rs * (__pyx_v_dr50 - __pyx_v_d50))) / (__pyx_v_d - __pyx_v_d50)));

    /* "pycraf/pathprof/cyprop.pyx":1093
 *             (h50 * (d - dr50) + h_rs * (dr50 - d50)) / (d - d50)
 *             )
 *         nu_rbeta = zeta_r * H_i * sqrt(             # <<<<<<<<<<<<<<
 *             0.002 * (d - d50) / lam / (dr50 - d50) / (d - dr50)
 *             )
 */
    __pyx_v_nu_rbeta = ((__pyx_v_zeta_r * __pyx_v_H_i) * sqrt(((((0.002 * (__pyx_v_d - __pyx_v_d50)) / __pyx_v_lam) / (__pyx_v_dr50 - __pyx_v_d50)) / (__pyx_v_d - __pyx_v_dr50))));

    /* "pycraf/pathprof/cyprop.pyx":1098
 * 
 *         # sanity:
 *         if nu_r50 < -0.78:             # <<<<<<<<<<<<<<
 *             nu_rbeta = -1.
 * 
 */
    __pyx_t_9 = ((__pyx_v_nu_r50 < -0.78) != 0);
    if (__pyx_t_9) {

      /* "pycraf/pathprof/cyprop.pyx":1099
 *         # sanity:
 *         if nu_r50 < -0.78:
 *             nu_rbeta = -1.             # <<<<<<<<<<<<<<
 * 
 *         return (
 */
      __pyx_v_nu_rbeta = -1.;

      /* "pycraf/pathprof/cyprop.pyx":1098
 * 
 *         # sanity:
 *         if nu_r50 < -0.78:             # <<<<<<<<<<<<<<
 *             nu_rbeta = -1.
 * 
 */
    }

    /* "pycraf/pathprof/cyprop.pyx":1102
 * 
 *         return (
 *             zeta_m, i_m50, d50, h50, H50, nu_m50, nu_mbeta,             # <<<<<<<<<<<<<<
 *             zeta_t, i_t50, dr50, hr50, Hr50, nu_t50, nu_tbeta,
 *             zeta_r, i_r50, dt50, ht50, Ht50, nu_r50, nu_rbeta,
 */
    __pyx_t_10.f0 = __pyx_v_zeta_m;
    __pyx_t_10.f1 = __pyx_v_i_m50;
    __pyx_t_10.f2 = __pyx_v_d50;
    __pyx_t_10.f3 = __pyx_v_h50;
    __pyx_t_10.f4 = __pyx_v_H50;
    __pyx_t_10.f5 = __pyx_v_nu_m50;
    __pyx_t_10.f6 = __pyx_v_nu_mbeta;
    __pyx_t_10.f7 = __pyx_v_zeta_t;
    __pyx_t_10.f8 = __pyx_v_i_t50;
    __pyx_t_10.f9 = __pyx_v_dr50;
    __pyx_t_10.f10 = __pyx_v_hr50;
    __pyx_t_10.f11 = __pyx_v_Hr50;
    __pyx_t_10.f12 = __pyx_v_nu_t50;
    __pyx_t_10.f13 = __pyx_v_nu_tbeta;
    __pyx_t_10.f14 = __pyx_v_zeta_r;
    __pyx_t_10.f15 = __pyx_v_i_r50;
    __pyx_t_10.f16 = __pyx_v_dt50;
    __pyx_t_10.f17 = __pyx_v_ht50;
    __pyx_t_10.f18 = __pyx_v_Ht50;
    __pyx_t_10.f19 = __pyx_v_nu_r50;
    __pyx_t_10.f20 = __pyx_v_nu_rbeta;
    __pyx_r = __pyx_t_10;
    goto __pyx_L0;

    /* "pycraf/pathprof/cyprop.pyx":1064
 *             nu_tbeta = -1.
 * 
 *     if i_m50 + 1 < dsize - 1:             # <<<<<<<<<<<<<<
 * 
 *         # calculate receiver-side secondary edge
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":942
 * 
 * 
 * cdef (             # <<<<<<<<<<<<<<
 *         double, int, double, double, double, double, double,
 *         double, int, double, double, double, double, double,
 */

  /* function exit code */
  __Pyx_pretend_to_initialize(&__pyx_r);
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1108
 * 
 * 
 * cdef (int, double, double, double, double, double, double, double, double) _path_geometry_helper(             # <<<<<<<<<<<<<<
 *         double a_e,
 *         double distance,
 */

static __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__path_geometry_helper(double __pyx_v_a_e, double __pyx_v_distance, __Pyx_memviewslice __pyx_v_d_v, __Pyx_memviewslice __pyx_v_h_v, double __pyx_v_h_ts, double __pyx_v_h_rs, double __pyx_v_h_st, int __pyx_v_nu_bull_idx, double __pyx_v_duct_slope) {
  int __pyx_v_i;
  int __pyx_v_dsize;
  double __pyx_v_d;
  double __pyx_v_m;
  int __pyx_v_path_type;
  double __pyx_v_theta_i;
  double __pyx_v_theta_j;
  double __pyx_v_theta_t;
  double __pyx_v_theta_r;
  double __pyx_v_theta;
  double __pyx_v_theta_i_max;
  double __pyx_v_theta_j_max;
  double __pyx_v_theta_td;
  double __pyx_v_eps_pt;
  double __pyx_v_eps_pr;
  int __pyx_v_lt_idx;
  int __pyx_v_lr_idx;
  double __pyx_v_d_lt;
  double __pyx_v_d_lr;
  double __pyx_v_h_m_i;
  double __pyx_v_h_m;
  __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_r;
  long __pyx_t_1;
  long __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;
  int __pyx_t_7;
  __pyx_ctuple_305fb__int__and_double__and_double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_t_8;

  /* "pycraf/pathprof/cyprop.pyx":1119
 *     cdef:
 *         int i, dsize
 *         double d = distance, m = duct_slope             # <<<<<<<<<<<<<<
 *         int path_type
 * 
 */
  __pyx_v_d = __pyx_v_distance;
  __pyx_v_m = __pyx_v_duct_slope;

  /* "pycraf/pathprof/cyprop.pyx":1123
 * 
 *         double theta_i, theta_j, theta_t, theta_r, theta
 *         double theta_i_max = -1.e31, theta_j_max = -1.e31, theta_td             # <<<<<<<<<<<<<<
 *         double eps_pt, eps_pr
 * 
 */
  __pyx_v_theta_i_max = -1.e31;
  __pyx_v_theta_j_max = -1.e31;

  /* "pycraf/pathprof/cyprop.pyx":1129
 *         double d_lt, d_lr
 * 
 *         double h_m_i, h_m = -1.e31             # <<<<<<<<<<<<<<
 * 
 *     dsize = d_v.shape[0]
 */
  __pyx_v_h_m = -1.e31;

  /* "pycraf/pathprof/cyprop.pyx":1131
 *         double h_m_i, h_m = -1.e31
 * 
 *     dsize = d_v.shape[0]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(1, dsize - 1):
 */
  __pyx_v_dsize = (__pyx_v_d_v.shape[0]);

  /* "pycraf/pathprof/cyprop.pyx":1133
 *     dsize = d_v.shape[0]
 * 
 *     for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 * 
 *         theta_i = 1000. * atan(
 */
  __pyx_t_1 = (__pyx_v_dsize - 1);
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "pycraf/pathprof/cyprop.pyx":1136
 * 
 *         theta_i = 1000. * atan(
 *             (h_v[i] - h_ts) / 1.e3 / d_v[i] - d_v[i] / 2. / a_e             # <<<<<<<<<<<<<<
 *             )
 *         if theta_i > theta_i_max:
 */
    __pyx_t_4 = __pyx_v_i;
    __pyx_t_5 = __pyx_v_i;
    __pyx_t_6 = __pyx_v_i;

    /* "pycraf/pathprof/cyprop.pyx":1135
 *     for i in range(1, dsize - 1):
 * 
 *         theta_i = 1000. * atan(             # <<<<<<<<<<<<<<
 *             (h_v[i] - h_ts) / 1.e3 / d_v[i] - d_v[i] / 2. / a_e
 *             )
 */
    __pyx_v_theta_i = (1000. * atan((((((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_4)) ))) - __pyx_v_h_ts) / 1.e3) / (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )))) - (((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) ))) / 2.) / __pyx_v_a_e))));

    /* "pycraf/pathprof/cyprop.pyx":1138
 *             (h_v[i] - h_ts) / 1.e3 / d_v[i] - d_v[i] / 2. / a_e
 *             )
 *         if theta_i > theta_i_max:             # <<<<<<<<<<<<<<
 *             theta_i_max = theta_i
 *             lt_idx = i
 */
    __pyx_t_7 = ((__pyx_v_theta_i > __pyx_v_theta_i_max) != 0);
    if (__pyx_t_7) {

      /* "pycraf/pathprof/cyprop.pyx":1139
 *             )
 *         if theta_i > theta_i_max:
 *             theta_i_max = theta_i             # <<<<<<<<<<<<<<
 *             lt_idx = i
 * 
 */
      __pyx_v_theta_i_max = __pyx_v_theta_i;

      /* "pycraf/pathprof/cyprop.pyx":1140
 *         if theta_i > theta_i_max:
 *             theta_i_max = theta_i
 *             lt_idx = i             # <<<<<<<<<<<<<<
 * 
 *     theta_td = 1000. * atan(
 */
      __pyx_v_lt_idx = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1138
 *             (h_v[i] - h_ts) / 1.e3 / d_v[i] - d_v[i] / 2. / a_e
 *             )
 *         if theta_i > theta_i_max:             # <<<<<<<<<<<<<<
 *             theta_i_max = theta_i
 *             lt_idx = i
 */
    }
  }

  /* "pycraf/pathprof/cyprop.pyx":1142
 *             lt_idx = i
 * 
 *     theta_td = 1000. * atan(             # <<<<<<<<<<<<<<
 *         (h_rs - h_ts) / 1.e3 / d - d / 2. / a_e
 *         )
 */
  __pyx_v_theta_td = (1000. * atan(((((__pyx_v_h_rs - __pyx_v_h_ts) / 1.e3) / __pyx_v_d) - ((__pyx_v_d / 2.) / __pyx_v_a_e))));

  /* "pycraf/pathprof/cyprop.pyx":1146
 *         )
 * 
 *     if theta_i_max > theta_td:             # <<<<<<<<<<<<<<
 *         path_type = 1
 *     else:
 */
  __pyx_t_7 = ((__pyx_v_theta_i_max > __pyx_v_theta_td) != 0);
  if (__pyx_t_7) {

    /* "pycraf/pathprof/cyprop.pyx":1147
 * 
 *     if theta_i_max > theta_td:
 *         path_type = 1             # <<<<<<<<<<<<<<
 *     else:
 *         path_type = 0
 */
    __pyx_v_path_type = 1;

    /* "pycraf/pathprof/cyprop.pyx":1146
 *         )
 * 
 *     if theta_i_max > theta_td:             # <<<<<<<<<<<<<<
 *         path_type = 1
 *     else:
 */
    goto __pyx_L6;
  }

  /* "pycraf/pathprof/cyprop.pyx":1149
 *         path_type = 1
 *     else:
 *         path_type = 0             # <<<<<<<<<<<<<<
 * 
 *     if path_type == 1:
 */
  /*else*/ {
    __pyx_v_path_type = 0;
  }
  __pyx_L6:;

  /* "pycraf/pathprof/cyprop.pyx":1151
 *         path_type = 0
 * 
 *     if path_type == 1:             # <<<<<<<<<<<<<<
 *         # transhorizon
 * 
 */
  __pyx_t_7 = ((__pyx_v_path_type == 1) != 0);
  if (__pyx_t_7) {

    /* "pycraf/pathprof/cyprop.pyx":1154
 *         # transhorizon
 * 
 *         theta_t = theta_i_max             # <<<<<<<<<<<<<<
 *         d_lt = d_v[lt_idx]
 * 
 */
    __pyx_v_theta_t = __pyx_v_theta_i_max;

    /* "pycraf/pathprof/cyprop.pyx":1155
 * 
 *         theta_t = theta_i_max
 *         d_lt = d_v[lt_idx]             # <<<<<<<<<<<<<<
 * 
 *         for i in range(1, dsize - 1):
 */
    __pyx_t_6 = __pyx_v_lt_idx;
    __pyx_v_d_lt = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_6)) )));

    /* "pycraf/pathprof/cyprop.pyx":1157
 *         d_lt = d_v[lt_idx]
 * 
 *         for i in range(1, dsize - 1):             # <<<<<<<<<<<<<<
 *             theta_j = 1000. * atan(
 *                 (h_v[i] - h_rs) / 1.e3 / (d - d_v[i]) -
 */
    __pyx_t_1 = (__pyx_v_dsize - 1);
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = 1; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "pycraf/pathprof/cyprop.pyx":1159
 *         for i in range(1, dsize - 1):
 *             theta_j = 1000. * atan(
 *                 (h_v[i] - h_rs) / 1.e3 / (d - d_v[i]) -             # <<<<<<<<<<<<<<
 *                 (d - d_v[i]) / 2. / a_e
 *                 )
 */
      __pyx_t_6 = __pyx_v_i;
      __pyx_t_5 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1160
 *             theta_j = 1000. * atan(
 *                 (h_v[i] - h_rs) / 1.e3 / (d - d_v[i]) -
 *                 (d - d_v[i]) / 2. / a_e             # <<<<<<<<<<<<<<
 *                 )
 *             if theta_j > theta_j_max:
 */
      __pyx_t_4 = __pyx_v_i;

      /* "pycraf/pathprof/cyprop.pyx":1158
 * 
 *         for i in range(1, dsize - 1):
 *             theta_j = 1000. * atan(             # <<<<<<<<<<<<<<
 *                 (h_v[i] - h_rs) / 1.e3 / (d - d_v[i]) -
 *                 (d - d_v[i]) / 2. / a_e
 */
      __pyx_v_theta_j = (1000. * atan((((((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_6)) ))) - __pyx_v_h_rs) / 1.e3) / (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) ))))) - (((__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) )))) / 2.) / __pyx_v_a_e))));

      /* "pycraf/pathprof/cyprop.pyx":1162
 *                 (d - d_v[i]) / 2. / a_e
 *                 )
 *             if theta_j > theta_j_max:             # <<<<<<<<<<<<<<
 *                 theta_j_max = theta_j
 *                 lr_idx = i
 */
      __pyx_t_7 = ((__pyx_v_theta_j > __pyx_v_theta_j_max) != 0);
      if (__pyx_t_7) {

        /* "pycraf/pathprof/cyprop.pyx":1163
 *                 )
 *             if theta_j > theta_j_max:
 *                 theta_j_max = theta_j             # <<<<<<<<<<<<<<
 *                 lr_idx = i
 * 
 */
        __pyx_v_theta_j_max = __pyx_v_theta_j;

        /* "pycraf/pathprof/cyprop.pyx":1164
 *             if theta_j > theta_j_max:
 *                 theta_j_max = theta_j
 *                 lr_idx = i             # <<<<<<<<<<<<<<
 * 
 *         theta_r = theta_j_max
 */
        __pyx_v_lr_idx = __pyx_v_i;

        /* "pycraf/pathprof/cyprop.pyx":1162
 *                 (d - d_v[i]) / 2. / a_e
 *                 )
 *             if theta_j > theta_j_max:             # <<<<<<<<<<<<<<
 *                 theta_j_max = theta_j
 *                 lr_idx = i
 */
      }
    }

    /* "pycraf/pathprof/cyprop.pyx":1166
 *                 lr_idx = i
 * 
 *         theta_r = theta_j_max             # <<<<<<<<<<<<<<
 *         d_lr = d - d_v[lr_idx]
 * 
 */
    __pyx_v_theta_r = __pyx_v_theta_j_max;

    /* "pycraf/pathprof/cyprop.pyx":1167
 * 
 *         theta_r = theta_j_max
 *         d_lr = d - d_v[lr_idx]             # <<<<<<<<<<<<<<
 * 
 *         theta = 1.e3 * d / a_e + theta_t + theta_r
 */
    __pyx_t_4 = __pyx_v_lr_idx;
    __pyx_v_d_lr = (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) ))));

    /* "pycraf/pathprof/cyprop.pyx":1169
 *         d_lr = d - d_v[lr_idx]
 * 
 *         theta = 1.e3 * d / a_e + theta_t + theta_r             # <<<<<<<<<<<<<<
 * 
 *         # calculate elevation angles of path
 */
    __pyx_v_theta = ((((1.e3 * __pyx_v_d) / __pyx_v_a_e) + __pyx_v_theta_t) + __pyx_v_theta_r);

    /* "pycraf/pathprof/cyprop.pyx":1172
 * 
 *         # calculate elevation angles of path
 *         eps_pt = theta_t * 1.e-3 * 180. / M_PI             # <<<<<<<<<<<<<<
 *         eps_pr = theta_r * 1.e-3 * 180. / M_PI
 * 
 */
    __pyx_v_eps_pt = (((__pyx_v_theta_t * 1.e-3) * 180.) / ((double)M_PI));

    /* "pycraf/pathprof/cyprop.pyx":1173
 *         # calculate elevation angles of path
 *         eps_pt = theta_t * 1.e-3 * 180. / M_PI
 *         eps_pr = theta_r * 1.e-3 * 180. / M_PI             # <<<<<<<<<<<<<<
 * 
 *         # calc h_m
 */
    __pyx_v_eps_pr = (((__pyx_v_theta_r * 1.e-3) * 180.) / ((double)M_PI));

    /* "pycraf/pathprof/cyprop.pyx":1176
 * 
 *         # calc h_m
 *         for i in range(lt_idx, lr_idx + 1):             # <<<<<<<<<<<<<<
 *             h_m_i = h_v[i] - (h_st + m * d_v[i])
 * 
 */
    __pyx_t_1 = (__pyx_v_lr_idx + 1);
    __pyx_t_2 = __pyx_t_1;
    for (__pyx_t_3 = __pyx_v_lt_idx; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "pycraf/pathprof/cyprop.pyx":1177
 *         # calc h_m
 *         for i in range(lt_idx, lr_idx + 1):
 *             h_m_i = h_v[i] - (h_st + m * d_v[i])             # <<<<<<<<<<<<<<
 * 
 *             if h_m_i > h_m:
 */
      __pyx_t_4 = __pyx_v_i;
      __pyx_t_5 = __pyx_v_i;
      __pyx_v_h_m_i = ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_4)) ))) - (__pyx_v_h_st + (__pyx_v_m * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) ))))));

      /* "pycraf/pathprof/cyprop.pyx":1179
 *             h_m_i = h_v[i] - (h_st + m * d_v[i])
 * 
 *             if h_m_i > h_m:             # <<<<<<<<<<<<<<
 *                 h_m = h_m_i
 * 
 */
      __pyx_t_7 = ((__pyx_v_h_m_i > __pyx_v_h_m) != 0);
      if (__pyx_t_7) {

        /* "pycraf/pathprof/cyprop.pyx":1180
 * 
 *             if h_m_i > h_m:
 *                 h_m = h_m_i             # <<<<<<<<<<<<<<
 * 
 *     else:
 */
        __pyx_v_h_m = __pyx_v_h_m_i;

        /* "pycraf/pathprof/cyprop.pyx":1179
 *             h_m_i = h_v[i] - (h_st + m * d_v[i])
 * 
 *             if h_m_i > h_m:             # <<<<<<<<<<<<<<
 *                 h_m = h_m_i
 * 
 */
      }
    }

    /* "pycraf/pathprof/cyprop.pyx":1151
 *         path_type = 0
 * 
 *     if path_type == 1:             # <<<<<<<<<<<<<<
 *         # transhorizon
 * 
 */
    goto __pyx_L7;
  }

  /* "pycraf/pathprof/cyprop.pyx":1185
 *         # LOS
 * 
 *         theta_t = theta_td             # <<<<<<<<<<<<<<
 * 
 *         theta_r = 1000. * atan(
 */
  /*else*/ {
    __pyx_v_theta_t = __pyx_v_theta_td;

    /* "pycraf/pathprof/cyprop.pyx":1187
 *         theta_t = theta_td
 * 
 *         theta_r = 1000. * atan(             # <<<<<<<<<<<<<<
 *             (h_ts - h_rs) / 1.e3 / d - d / 2. / a_e
 *             )
 */
    __pyx_v_theta_r = (1000. * atan(((((__pyx_v_h_ts - __pyx_v_h_rs) / 1.e3) / __pyx_v_d) - ((__pyx_v_d / 2.) / __pyx_v_a_e))));

    /* "pycraf/pathprof/cyprop.pyx":1191
 *             )
 * 
 *         theta = 1.e3 * d / a_e + theta_t + theta_r  # is this correct?             # <<<<<<<<<<<<<<
 * 
 *         # calculate elevation angles of path
 */
    __pyx_v_theta = ((((1.e3 * __pyx_v_d) / __pyx_v_a_e) + __pyx_v_theta_t) + __pyx_v_theta_r);

    /* "pycraf/pathprof/cyprop.pyx":1196
 *         eps_pt = (
 *             (h_rs - h_ts) * 1.e-3 / d - d / 2. / a_e
 *             ) * 180. / M_PI             # <<<<<<<<<<<<<<
 *         eps_pr = (
 *             (h_ts - h_rs) * 1.e-3 / d - d / 2. / a_e
 */
    __pyx_v_eps_pt = ((((((__pyx_v_h_rs - __pyx_v_h_ts) * 1.e-3) / __pyx_v_d) - ((__pyx_v_d / 2.) / __pyx_v_a_e)) * 180.) / ((double)M_PI));

    /* "pycraf/pathprof/cyprop.pyx":1199
 *         eps_pr = (
 *             (h_ts - h_rs) * 1.e-3 / d - d / 2. / a_e
 *             ) * 180. / M_PI             # <<<<<<<<<<<<<<
 * 
 *         # horizon distance for LOS paths has to be set to distance to
 */
    __pyx_v_eps_pr = ((((((__pyx_v_h_ts - __pyx_v_h_rs) * 1.e-3) / __pyx_v_d) - ((__pyx_v_d / 2.) / __pyx_v_a_e)) * 180.) / ((double)M_PI));

    /* "pycraf/pathprof/cyprop.pyx":1204
 *         # Bullington point in diffraction method
 *         # assert (nu_bull_idx >= 0) and (nu_bull_idx < dsize)  # TODO
 *         d_lt = d_v[nu_bull_idx]             # <<<<<<<<<<<<<<
 *         d_lr = d - d_v[nu_bull_idx]
 * 
 */
    __pyx_t_5 = __pyx_v_nu_bull_idx;
    __pyx_v_d_lt = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) )));

    /* "pycraf/pathprof/cyprop.pyx":1205
 *         # assert (nu_bull_idx >= 0) and (nu_bull_idx < dsize)  # TODO
 *         d_lt = d_v[nu_bull_idx]
 *         d_lr = d - d_v[nu_bull_idx]             # <<<<<<<<<<<<<<
 * 
 *         # calc h_m
 */
    __pyx_t_5 = __pyx_v_nu_bull_idx;
    __pyx_v_d_lr = (__pyx_v_d - (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_5)) ))));

    /* "pycraf/pathprof/cyprop.pyx":1210
 *         # it seems, that h_m is calculated just from the profile height
 *         # at the Bullington point???
 *         h_m = h_v[nu_bull_idx] - (h_st + m * d_v[nu_bull_idx])             # <<<<<<<<<<<<<<
 * 
 *     return (
 */
    __pyx_t_5 = __pyx_v_nu_bull_idx;
    __pyx_t_4 = __pyx_v_nu_bull_idx;
    __pyx_v_h_m = ((*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_h_v.data) + __pyx_t_5)) ))) - (__pyx_v_h_st + (__pyx_v_m * (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_v.data) + __pyx_t_4)) ))))));
  }
  __pyx_L7:;

  /* "pycraf/pathprof/cyprop.pyx":1213
 * 
 *     return (
 *         path_type, theta_t, theta_r, eps_pt, eps_pr, theta, d_lt, d_lr, h_m             # <<<<<<<<<<<<<<
 *         )
 * 
 */
  __pyx_t_8.f0 = __pyx_v_path_type;
  __pyx_t_8.f1 = __pyx_v_theta_t;
  __pyx_t_8.f2 = __pyx_v_theta_r;
  __pyx_t_8.f3 = __pyx_v_eps_pt;
  __pyx_t_8.f4 = __pyx_v_eps_pr;
  __pyx_t_8.f5 = __pyx_v_theta;
  __pyx_t_8.f6 = __pyx_v_d_lt;
  __pyx_t_8.f7 = __pyx_v_d_lr;
  __pyx_t_8.f8 = __pyx_v_h_m;
  __pyx_r = __pyx_t_8;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1108
 * 
 * 
 * cdef (int, double, double, double, double, double, double, double, double) _path_geometry_helper(             # <<<<<<<<<<<<<<
 *         double a_e,
 *         double distance,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1217
 * 
 * 
 * cdef (double, double, double) _free_space_loss_bfsg(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         ) nogil:
 */

static __pyx_ctuple_double__and_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__free_space_loss_bfsg(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct __pyx_v_pp) {
  double __pyx_v_rho_water;
  __pyx_ctuple_double__and_double __pyx_v_atten_dB;
  double __pyx_v_A_g;
  double __pyx_v_L_bfsg;
  double __pyx_v_E_sp;
  double __pyx_v_E_sbeta;
  __pyx_ctuple_double__and_double__and_double __pyx_r;
  __pyx_ctuple_double__and_double__and_double __pyx_t_1;

  /* "pycraf/pathprof/cyprop.pyx":1228
 *         double A_g, L_bfsg, E_sp, E_sbeta
 * 
 *     rho_water = 7.5 + 2.5 * pp.omega / 100.             # <<<<<<<<<<<<<<
 *     atten_dB = _specific_attenuation_annex2(
 *         pp.freq, pp.pressure, rho_water, pp.temperature
 */
  __pyx_v_rho_water = (7.5 + ((2.5 * __pyx_v_pp.omega) / 100.));

  /* "pycraf/pathprof/cyprop.pyx":1229
 * 
 *     rho_water = 7.5 + 2.5 * pp.omega / 100.
 *     atten_dB = _specific_attenuation_annex2(             # <<<<<<<<<<<<<<
 *         pp.freq, pp.pressure, rho_water, pp.temperature
 *         )
 */
  __pyx_v_atten_dB = __pyx_f_6pycraf_8pathprof_6cyprop__specific_attenuation_annex2(__pyx_v_pp.freq, __pyx_v_pp.pressure, __pyx_v_rho_water, __pyx_v_pp.temperature);

  /* "pycraf/pathprof/cyprop.pyx":1232
 *         pp.freq, pp.pressure, rho_water, pp.temperature
 *         )
 *     A_g = (atten_dB[0] + atten_dB[1]) * pp.distance             # <<<<<<<<<<<<<<
 * 
 *     L_bfsg = 92.5 + 20 * log10(pp.freq) + 20 * log10(pp.distance)
 */
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/* "pycraf/pathprof/cyprop.pyx":1284
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 * 
 *     A_g = (atten_dB[0] + atten_dB[1]) * pp.distance
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/* "pycraf/pathprof/cyprop.pyx":1314
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/* "pycraf/pathprof/cyprop.pyx":1343
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 *     A_g = (atten_dB[0] + atten_dB[1]) * pp.distance             # <<<<<<<<<<<<<<
 * 
 *     if pp.theta_t <= 0.1 * pp.d_lt:
 */
  __pyx_v_A_g = ((__pyx_v_atten_dB.f0 + __pyx_v_atten_dB.f1) * __pyx_v_pp.distance);

  /* "pycraf/pathprof/cyprop.pyx":1367
 *     A_g = (atten_dB[0] + atten_dB[1]) * pp.distance
 * 
 *     if pp.theta_t <= 0.1 * pp.d_lt:             # <<<<<<<<<<<<<<
 *         theta_t_prime = pp.theta_t
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_pp.theta_t <= (0.1 * __pyx_v_pp.d_lt)) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1368
 * 
 *     if pp.theta_t <= 0.1 * pp.d_lt:
 *         theta_t_prime = pp.theta_t             # <<<<<<<<<<<<<<
 *     else:
 *         theta_t_prime = 0.1 * pp.d_lt
 */
    __pyx_t_2 = __pyx_v_pp.theta_t;
    __pyx_v_theta_t_prime = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1367
 *     A_g = (atten_dB[0] + atten_dB[1]) * pp.distance
 * 
 *     if pp.theta_t <= 0.1 * pp.d_lt:             # <<<<<<<<<<<<<<
 *         theta_t_prime = pp.theta_t
 *     else:
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":1370
 *         theta_t_prime = pp.theta_t
 *     else:
 *         theta_t_prime = 0.1 * pp.d_lt             # <<<<<<<<<<<<<<
 * 
 *     if pp.theta_r <= 0.1 * pp.d_lr:
 */
  /*else*/ {
    __pyx_v_theta_t_prime = (0.1 * __pyx_v_pp.d_lt);
  }
  __pyx_L3:;

  /* "pycraf/pathprof/cyprop.pyx":1372
 *         theta_t_prime = 0.1 * pp.d_lt
 * 
 *     if pp.theta_r <= 0.1 * pp.d_lr:             # <<<<<<<<<<<<<<
 *         theta_r_prime = pp.theta_r
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_pp.theta_r <= (0.1 * __pyx_v_pp.d_lr)) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1373
 * 
 *     if pp.theta_r <= 0.1 * pp.d_lr:
 *         theta_r_prime = pp.theta_r             # <<<<<<<<<<<<<<
 *     else:
 *         theta_r_prime = 0.1 * pp.d_lr
 */
    __pyx_t_2 = __pyx_v_pp.theta_r;
    __pyx_v_theta_r_prime = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1372
 *         theta_t_prime = 0.1 * pp.d_lt
 * 
 *     if pp.theta_r <= 0.1 * pp.d_lr:             # <<<<<<<<<<<<<<
 *         theta_r_prime = pp.theta_r
 *     else:
 */
    goto __pyx_L4;
  }

  /* "pycraf/pathprof/cyprop.pyx":1375
 *         theta_r_prime = pp.theta_r
 *     else:
 *         theta_r_prime = 0.1 * pp.d_lr             # <<<<<<<<<<<<<<
 * 
 *     theta_t_prime2 = pp.theta_t - 0.1 * pp.d_lt
 */
  /*else*/ {
    __pyx_v_theta_r_prime = (0.1 * __pyx_v_pp.d_lr);
  }
  __pyx_L4:;

  /* "pycraf/pathprof/cyprop.pyx":1377
 *         theta_r_prime = 0.1 * pp.d_lr
 * 
 *     theta_t_prime2 = pp.theta_t - 0.1 * pp.d_lt             # <<<<<<<<<<<<<<
 *     theta_r_prime2 = pp.theta_r - 0.1 * pp.d_lr
 * 
 */
  __pyx_v_theta_t_prime2 = (__pyx_v_pp.theta_t - (0.1 * __pyx_v_pp.d_lt));

  /* "pycraf/pathprof/cyprop.pyx":1378
 * 
 *     theta_t_prime2 = pp.theta_t - 0.1 * pp.d_lt
 *     theta_r_prime2 = pp.theta_r - 0.1 * pp.d_lr             # <<<<<<<<<<<<<<
 * 
 *     theta_prime = (
 */
  __pyx_v_theta_r_prime2 = (__pyx_v_pp.theta_r - (0.1 * __pyx_v_pp.d_lr));

  /* "pycraf/pathprof/cyprop.pyx":1381
 * 
 *     theta_prime = (
 *         1e3 * pp.distance / pp.a_e_50 + theta_t_prime + theta_r_prime             # <<<<<<<<<<<<<<
 *         )
 * 
 */
  __pyx_v_theta_prime = ((((1e3 * __pyx_v_pp.distance) / __pyx_v_pp.a_e_50) + __pyx_v_theta_t_prime) + __pyx_v_theta_r_prime);

  /* "pycraf/pathprof/cyprop.pyx":1384
 *         )
 * 
 *     gamma_d = 5.e-5 * pp.a_e_50 * cpower(pp.freq, 1. / 3.)             # <<<<<<<<<<<<<<
 * 
 *     tau = 1. - exp(-4.12e-4 * cpower(pp.d_lm, 2.41))
 */
  __pyx_v_gamma_d = ((5.e-5 * __pyx_v_pp.a_e_50) * pow(__pyx_v_pp.freq, (1. / 3.)));

  /* "pycraf/pathprof/cyprop.pyx":1386
 *     gamma_d = 5.e-5 * pp.a_e_50 * cpower(pp.freq, 1. / 3.)
 * 
 *     tau = 1. - exp(-4.12e-4 * cpower(pp.d_lm, 2.41))             # <<<<<<<<<<<<<<
 *     eps = 3.5
 *     alpha = -0.6 - eps * 1.e-9 * cpower(pp.distance, 3.1) * tau
 */
  __pyx_v_tau = (1. - exp((-4.12e-4 * pow(__pyx_v_pp.d_lm, 2.41))));

  /* "pycraf/pathprof/cyprop.pyx":1387
 * 
 *     tau = 1. - exp(-4.12e-4 * cpower(pp.d_lm, 2.41))
 *     eps = 3.5             # <<<<<<<<<<<<<<
 *     alpha = -0.6 - eps * 1.e-9 * cpower(pp.distance, 3.1) * tau
 *     if alpha < -3.4:
 */
  __pyx_v_eps = 3.5;

  /* "pycraf/pathprof/cyprop.pyx":1388
 *     tau = 1. - exp(-4.12e-4 * cpower(pp.d_lm, 2.41))
 *     eps = 3.5
 *     alpha = -0.6 - eps * 1.e-9 * cpower(pp.distance, 3.1) * tau             # <<<<<<<<<<<<<<
 *     if alpha < -3.4:
 *         alpha = -3.4
 */
  __pyx_v_alpha = (-0.6 - (((__pyx_v_eps * 1.e-9) * pow(__pyx_v_pp.distance, 3.1)) * __pyx_v_tau));

  /* "pycraf/pathprof/cyprop.pyx":1389
 *     eps = 3.5
 *     alpha = -0.6 - eps * 1.e-9 * cpower(pp.distance, 3.1) * tau
 *     if alpha < -3.4:             # <<<<<<<<<<<<<<
 *         alpha = -3.4
 * 
 */
  __pyx_t_1 = ((__pyx_v_alpha < -3.4) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1390
 *     alpha = -0.6 - eps * 1.e-9 * cpower(pp.distance, 3.1) * tau
 *     if alpha < -3.4:
 *         alpha = -3.4             # <<<<<<<<<<<<<<
 * 
 *     mu_2 = cpower(
 */
    __pyx_v_alpha = -3.4;

    /* "pycraf/pathprof/cyprop.pyx":1389
 *     eps = 3.5
 *     alpha = -0.6 - eps * 1.e-9 * cpower(pp.distance, 3.1) * tau
 *     if alpha < -3.4:             # <<<<<<<<<<<<<<
 *         alpha = -3.4
 * 
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1392
 *         alpha = -3.4
 * 
 *     mu_2 = cpower(             # <<<<<<<<<<<<<<
 *         500. * pp.distance ** 2 / pp.a_e_50 /
 *         (sqrt(pp.h_te) + sqrt(pp.h_re)) ** 2,
 */
  __pyx_v_mu_2 = pow((((500. * pow(__pyx_v_pp.distance, 2.0)) / __pyx_v_pp.a_e_50) / pow((sqrt(__pyx_v_pp.h_te) + sqrt(__pyx_v_pp.h_re)), 2.0)), __pyx_v_alpha);

  /* "pycraf/pathprof/cyprop.pyx":1397
 *         alpha
 *         )
 *     if mu_2 > 1.:             # <<<<<<<<<<<<<<
 *         mu_2 = 1.
 * 
 */
  __pyx_t_1 = ((__pyx_v_mu_2 > 1.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1398
 *         )
 *     if mu_2 > 1.:
 *         mu_2 = 1.             # <<<<<<<<<<<<<<
 * 
 *     d_I = pp.distance - pp.d_lt - pp.d_lr
 */
    __pyx_v_mu_2 = 1.;

    /* "pycraf/pathprof/cyprop.pyx":1397
 *         alpha
 *         )
 *     if mu_2 > 1.:             # <<<<<<<<<<<<<<
 *         mu_2 = 1.
 * 
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1400
 *         mu_2 = 1.
 * 
 *     d_I = pp.distance - pp.d_lt - pp.d_lr             # <<<<<<<<<<<<<<
 *     if d_I > 40.:
 *         d_I = 40.
 */
  __pyx_v_d_I = ((__pyx_v_pp.distance - __pyx_v_pp.d_lt) - __pyx_v_pp.d_lr);

  /* "pycraf/pathprof/cyprop.pyx":1401
 * 
 *     d_I = pp.distance - pp.d_lt - pp.d_lr
 *     if d_I > 40.:             # <<<<<<<<<<<<<<
 *         d_I = 40.
 * 
 */
  __pyx_t_1 = ((__pyx_v_d_I > 40.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1402
 *     d_I = pp.distance - pp.d_lt - pp.d_lr
 *     if d_I > 40.:
 *         d_I = 40.             # <<<<<<<<<<<<<<
 * 
 *     if pp.h_m <= 10.:
 */
    __pyx_v_d_I = 40.;

    /* "pycraf/pathprof/cyprop.pyx":1401
 * 
 *     d_I = pp.distance - pp.d_lt - pp.d_lr
 *     if d_I > 40.:             # <<<<<<<<<<<<<<
 *         d_I = 40.
 * 
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1404
 *         d_I = 40.
 * 
 *     if pp.h_m <= 10.:             # <<<<<<<<<<<<<<
 *         mu_3 = 1.
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_pp.h_m <= 10.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1405
 * 
 *     if pp.h_m <= 10.:
 *         mu_3 = 1.             # <<<<<<<<<<<<<<
 *     else:
 *         mu_3 = exp(-4.6e-5 * (pp.h_m - 10.) * (43. + 6. * d_I))
 */
    __pyx_v_mu_3 = 1.;

    /* "pycraf/pathprof/cyprop.pyx":1404
 *         d_I = 40.
 * 
 *     if pp.h_m <= 10.:             # <<<<<<<<<<<<<<
 *         mu_3 = 1.
 *     else:
 */
    goto __pyx_L8;
  }

  /* "pycraf/pathprof/cyprop.pyx":1407
 *         mu_3 = 1.
 *     else:
 *         mu_3 = exp(-4.6e-5 * (pp.h_m - 10.) * (43. + 6. * d_I))             # <<<<<<<<<<<<<<
 * 
 *     beta = pp.beta0 * mu_2 * mu_3
 */
  /*else*/ {
    __pyx_v_mu_3 = exp(((-4.6e-5 * (__pyx_v_pp.h_m - 10.)) * (43. + (6. * __pyx_v_d_I))));
  }
  __pyx_L8:;

  /* "pycraf/pathprof/cyprop.pyx":1409
 *         mu_3 = exp(-4.6e-5 * (pp.h_m - 10.) * (43. + 6. * d_I))
 * 
 *     beta = pp.beta0 * mu_2 * mu_3             # <<<<<<<<<<<<<<
 * 
 *     Gamma = 1.076 / cpower(2.0058 - log10(beta), 1.012) * exp(
 */
  __pyx_v_beta = ((__pyx_v_pp.beta0 * __pyx_v_mu_2) * __pyx_v_mu_3);

  /* "pycraf/pathprof/cyprop.pyx":1411
 *     beta = pp.beta0 * mu_2 * mu_3
 * 
 *     Gamma = 1.076 / cpower(2.0058 - log10(beta), 1.012) * exp(             # <<<<<<<<<<<<<<
 *         -(9.51 - 4.8 * log10(beta) + 0.198 * log10(beta) ** 2) *
 *         1.e-6 * cpower(pp.distance, 1.13)
 */
  __pyx_v_Gamma = ((1.076 / pow((2.0058 - log10(__pyx_v_beta)), 1.012)) * exp((((-((9.51 - (4.8 * log10(__pyx_v_beta))) + (0.198 * pow(log10(__pyx_v_beta), 2.0)))) * 1.e-6) * pow(__pyx_v_pp.distance, 1.13))));

  /* "pycraf/pathprof/cyprop.pyx":1416
 *         )
 * 
 *     if pp.freq < 0.5:             # <<<<<<<<<<<<<<
 *         A_lf = 45.375 - 137. * pp.freq + 92.5 * pp.freq ** 2
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_pp.freq < 0.5) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1417
 * 
 *     if pp.freq < 0.5:
 *         A_lf = 45.375 - 137. * pp.freq + 92.5 * pp.freq ** 2             # <<<<<<<<<<<<<<
 *     else:
 *         A_lf = 0.
 */
    __pyx_v_A_lf = ((45.375 - (137. * __pyx_v_pp.freq)) + (92.5 * pow(__pyx_v_pp.freq, 2.0)));

    /* "pycraf/pathprof/cyprop.pyx":1416
 *         )
 * 
 *     if pp.freq < 0.5:             # <<<<<<<<<<<<<<
 *         A_lf = 45.375 - 137. * pp.freq + 92.5 * pp.freq ** 2
 *     else:
 */
    goto __pyx_L9;
  }

  /* "pycraf/pathprof/cyprop.pyx":1419
 *         A_lf = 45.375 - 137. * pp.freq + 92.5 * pp.freq ** 2
 *     else:
 *         A_lf = 0.             # <<<<<<<<<<<<<<
 * 
 *     if theta_t_prime2 > 0.:
 */
  /*else*/ {
    __pyx_v_A_lf = 0.;
  }
  __pyx_L9:;

  /* "pycraf/pathprof/cyprop.pyx":1421
 *         A_lf = 0.
 * 
 *     if theta_t_prime2 > 0.:             # <<<<<<<<<<<<<<
 *         A_st = (
 *             20 * log10(1 + 0.361 * theta_t_prime2 * sqrt(pp.freq * pp.d_lt)) +
 */
  __pyx_t_1 = ((__pyx_v_theta_t_prime2 > 0.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1423
 *     if theta_t_prime2 > 0.:
 *         A_st = (
 *             20 * log10(1 + 0.361 * theta_t_prime2 * sqrt(pp.freq * pp.d_lt)) +             # <<<<<<<<<<<<<<
 *             0.264 * theta_t_prime2 * cpower(pp.freq, 1. / 3.)
 *             )
 */
    __pyx_v_A_st = ((20.0 * log10((1.0 + ((0.361 * __pyx_v_theta_t_prime2) * sqrt((__pyx_v_pp.freq * __pyx_v_pp.d_lt)))))) + ((0.264 * __pyx_v_theta_t_prime2) * pow(__pyx_v_pp.freq, (1. / 3.))));

    /* "pycraf/pathprof/cyprop.pyx":1421
 *         A_lf = 0.
 * 
 *     if theta_t_prime2 > 0.:             # <<<<<<<<<<<<<<
 *         A_st = (
 *             20 * log10(1 + 0.361 * theta_t_prime2 * sqrt(pp.freq * pp.d_lt)) +
 */
    goto __pyx_L10;
  }

  /* "pycraf/pathprof/cyprop.pyx":1427
 *             )
 *     else:
 *         A_st = 0.             # <<<<<<<<<<<<<<
 * 
 *     if theta_r_prime2 > 0.:
 */
  /*else*/ {
    __pyx_v_A_st = 0.;
  }
  __pyx_L10:;

  /* "pycraf/pathprof/cyprop.pyx":1429
 *         A_st = 0.
 * 
 *     if theta_r_prime2 > 0.:             # <<<<<<<<<<<<<<
 *         A_sr = (
 *             20 * log10(1 + 0.361 * theta_r_prime2 * sqrt(pp.freq * pp.d_lr)) +
 */
  __pyx_t_1 = ((__pyx_v_theta_r_prime2 > 0.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1431
 *     if theta_r_prime2 > 0.:
 *         A_sr = (
 *             20 * log10(1 + 0.361 * theta_r_prime2 * sqrt(pp.freq * pp.d_lr)) +             # <<<<<<<<<<<<<<
 *             0.264 * theta_r_prime2 * cpower(pp.freq, 1. / 3.)
 *             )
 */
    __pyx_v_A_sr = ((20.0 * log10((1.0 + ((0.361 * __pyx_v_theta_r_prime2) * sqrt((__pyx_v_pp.freq * __pyx_v_pp.d_lr)))))) + ((0.264 * __pyx_v_theta_r_prime2) * pow(__pyx_v_pp.freq, (1. / 3.))));

    /* "pycraf/pathprof/cyprop.pyx":1429
 *         A_st = 0.
 * 
 *     if theta_r_prime2 > 0.:             # <<<<<<<<<<<<<<
 *         A_sr = (
 *             20 * log10(1 + 0.361 * theta_r_prime2 * sqrt(pp.freq * pp.d_lr)) +
 */
    goto __pyx_L11;
  }

  /* "pycraf/pathprof/cyprop.pyx":1435
 *             )
 *     else:
 *         A_sr = 0.             # <<<<<<<<<<<<<<
 * 
 *     if (pp.omega >= 75.) and (pp.d_ct <= pp.d_lt) and (pp.d_ct <= 5.):
 */
  /*else*/ {
    __pyx_v_A_sr = 0.;
  }
  __pyx_L11:;

  /* "pycraf/pathprof/cyprop.pyx":1437
 *         A_sr = 0.
 * 
 *     if (pp.omega >= 75.) and (pp.d_ct <= pp.d_lt) and (pp.d_ct <= 5.):             # <<<<<<<<<<<<<<
 *         A_ct = (
 *             -3 * exp(-0.25 * pp.d_ct ** 2) * (1. + tanh(3.5 - 0.07 * pp.h_ts))
 */
  __pyx_t_3 = ((__pyx_v_pp.omega >= 75.) != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L13_bool_binop_done;
  }
  __pyx_t_3 = ((__pyx_v_pp.d_ct <= __pyx_v_pp.d_lt) != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L13_bool_binop_done;
  }
  __pyx_t_3 = ((__pyx_v_pp.d_ct <= 5.) != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L13_bool_binop_done:;
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1439
 *     if (pp.omega >= 75.) and (pp.d_ct <= pp.d_lt) and (pp.d_ct <= 5.):
 *         A_ct = (
 *             -3 * exp(-0.25 * pp.d_ct ** 2) * (1. + tanh(3.5 - 0.07 * pp.h_ts))             # <<<<<<<<<<<<<<
 *             )
 *     else:
 */
    __pyx_v_A_ct = ((-3.0 * exp((-0.25 * pow(__pyx_v_pp.d_ct, 2.0)))) * (1. + tanh((3.5 - (0.07 * __pyx_v_pp.h_ts)))));

    /* "pycraf/pathprof/cyprop.pyx":1437
 *         A_sr = 0.
 * 
 *     if (pp.omega >= 75.) and (pp.d_ct <= pp.d_lt) and (pp.d_ct <= 5.):             # <<<<<<<<<<<<<<
 *         A_ct = (
 *             -3 * exp(-0.25 * pp.d_ct ** 2) * (1. + tanh(3.5 - 0.07 * pp.h_ts))
 */
    goto __pyx_L12;
  }

  /* "pycraf/pathprof/cyprop.pyx":1442
 *             )
 *     else:
 *         A_ct = 0.             # <<<<<<<<<<<<<<
 * 
 *     if (pp.omega >= 75.) and (pp.d_cr <= pp.d_lr) and (pp.d_cr <= 5.):
 */
  /*else*/ {
    __pyx_v_A_ct = 0.;
  }
  __pyx_L12:;

  /* "pycraf/pathprof/cyprop.pyx":1444
 *         A_ct = 0.
 * 
 *     if (pp.omega >= 75.) and (pp.d_cr <= pp.d_lr) and (pp.d_cr <= 5.):             # <<<<<<<<<<<<<<
 *         A_cr = (
 *             -3 * exp(-0.25 * pp.d_cr ** 2) * (1. + tanh(3.5 - 0.07 * pp.h_rs))
 */
  __pyx_t_3 = ((__pyx_v_pp.omega >= 75.) != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L17_bool_binop_done;
  }
  __pyx_t_3 = ((__pyx_v_pp.d_cr <= __pyx_v_pp.d_lr) != 0);
  if (__pyx_t_3) {
  } else {
    __pyx_t_1 = __pyx_t_3;
    goto __pyx_L17_bool_binop_done;
  }
  __pyx_t_3 = ((__pyx_v_pp.d_cr <= 5.) != 0);
  __pyx_t_1 = __pyx_t_3;
  __pyx_L17_bool_binop_done:;
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1446
 *     if (pp.omega >= 75.) and (pp.d_cr <= pp.d_lr) and (pp.d_cr <= 5.):
 *         A_cr = (
 *             -3 * exp(-0.25 * pp.d_cr ** 2) * (1. + tanh(3.5 - 0.07 * pp.h_rs))             # <<<<<<<<<<<<<<
 *             )
 *     else:
 */
    __pyx_v_A_cr = ((-3.0 * exp((-0.25 * pow(__pyx_v_pp.d_cr, 2.0)))) * (1. + tanh((3.5 - (0.07 * __pyx_v_pp.h_rs)))));

    /* "pycraf/pathprof/cyprop.pyx":1444
 *         A_ct = 0.
 * 
 *     if (pp.omega >= 75.) and (pp.d_cr <= pp.d_lr) and (pp.d_cr <= 5.):             # <<<<<<<<<<<<<<
 *         A_cr = (
 *             -3 * exp(-0.25 * pp.d_cr ** 2) * (1. + tanh(3.5 - 0.07 * pp.h_rs))
 */
    goto __pyx_L16;
  }

  /* "pycraf/pathprof/cyprop.pyx":1449
 *             )
 *     else:
 *         A_cr = 0.             # <<<<<<<<<<<<<<
 * 
 *     A_f = (
 */
  /*else*/ {
    __pyx_v_A_cr = 0.;
  }
  __pyx_L16:;

  /* "pycraf/pathprof/cyprop.pyx":1453
 *     A_f = (
 *         102.45 + 20 * log10(pp.freq) + 20 * log10(pp.d_lt + pp.d_lr) +
 *         A_lf + A_st + A_sr + A_ct + A_cr             # <<<<<<<<<<<<<<
 *         )
 * 
 */
  __pyx_v_A_f = (((((((102.45 + (20.0 * log10(__pyx_v_pp.freq))) + (20.0 * log10((__pyx_v_pp.d_lt + __pyx_v_pp.d_lr)))) + __pyx_v_A_lf) + __pyx_v_A_st) + __pyx_v_A_sr) + __pyx_v_A_ct) + __pyx_v_A_cr);

  /* "pycraf/pathprof/cyprop.pyx":1458
 *     A_p = (
 *         -12 +
 *         (1.2 + 3.7e-3 * pp.distance) * log10(pp.time_percent / beta) +             # <<<<<<<<<<<<<<
 *         12. * cpower(pp.time_percent / beta, Gamma)
 *         )
 */
  __pyx_v_A_p = ((-12.0 + ((1.2 + (3.7e-3 * __pyx_v_pp.distance)) * log10((__pyx_v_pp.time_percent / __pyx_v_beta)))) + (12. * pow((__pyx_v_pp.time_percent / __pyx_v_beta), __pyx_v_Gamma)));

  /* "pycraf/pathprof/cyprop.pyx":1462
 *         )
 * 
 *     A_d = gamma_d * theta_prime + A_p             # <<<<<<<<<<<<<<
 * 
 *     L_ba = A_f + A_d + A_g
 */
  __pyx_v_A_d = ((__pyx_v_gamma_d * __pyx_v_theta_prime) + __pyx_v_A_p);

  /* "pycraf/pathprof/cyprop.pyx":1464
 *     A_d = gamma_d * theta_prime + A_p
 * 
 *     L_ba = A_f + A_d + A_g             # <<<<<<<<<<<<<<
 * 
 *     return L_ba
 */
  __pyx_v_L_ba = ((__pyx_v_A_f + __pyx_v_A_d) + __pyx_v_A_g);

  /* "pycraf/pathprof/cyprop.pyx":1466
 *     L_ba = A_f + A_d + A_g
 * 
 *     return L_ba             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_L_ba;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1343
 * 
 * 
 * cdef double _ducting_loss_ba(             # <<<<<<<<<<<<<<
 *         ppstruct pp
 *         ) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1469
 * 
 * 
 * def ducting_loss_ba_cython(             # <<<<<<<<<<<<<<
 *         _PathProp pathprop
 *         ):
 */

/* Python wrapper */
static PyObject *__pyx_pw_6pycraf_8pathprof_6cyprop_9ducting_loss_ba_cython(PyObject *__pyx_self, PyObject *__pyx_v_pathprop); /*proto*/
static char __pyx_doc_6pycraf_8pathprof_6cyprop_8ducting_loss_ba_cython[] = "ducting_loss_ba_cython(_PathProp pathprop)\n\n    Calculate the ducting/layer reflection loss, L_ba, of a propagating radio\n    wave according to ITU-R P.452-16 Eq. (46-56).\n\n    Note: All quantities must be astropy Quantities\n          (astropy.units.quantity.Quantity).\n\n    Parameters\n    ----------\n    pathprop -\n\n    Returns\n    -------\n    L_ba - Ducting/layer reflection loss [dB]\n\n    Notes\n    -----\n    - Path profile parameters (PathProps object) can be derived using the\n        [TODO.\n    ";
static PyMethodDef __pyx_mdef_6pycraf_8pathprof_6cyprop_9ducting_loss_ba_cython = {"ducting_loss_ba_cython", (PyCFunction)__pyx_pw_6pycraf_8pathprof_6cyprop_9ducting_loss_ba_cython, METH_O, __pyx_doc_6pycraf_8pathprof_6cyprop_8ducting_loss_ba_cython};
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static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_8ducting_loss_ba_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
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  /* "pycraf/pathprof/cyprop.pyx":1493
 *     '''
 * 
 *     return _ducting_loss_ba(pathprop._pp)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyFloat_FromDouble(__pyx_f_6pycraf_8pathprof_6cyprop__ducting_loss_ba(__pyx_v_pathprop->_pp)); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1493, __pyx_L1_error)
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  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1469
 * 
 * 
 * def ducting_loss_ba_cython(             # <<<<<<<<<<<<<<
 *         _PathProp pathprop
 *         ):
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("pycraf.pathprof.cyprop.ducting_loss_ba_cython", __pyx_clineno, __pyx_lineno, __pyx_filename);
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/* "pycraf/pathprof/cyprop.pyx":1496
 * 
 * 
 * cdef inline double _J_edgeknife(double nu) nogil:             # <<<<<<<<<<<<<<
 * 
 *     if nu < -0.78:
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__J_edgeknife(double __pyx_v_nu) {
  double __pyx_r;
  int __pyx_t_1;

  /* "pycraf/pathprof/cyprop.pyx":1498
 * cdef inline double _J_edgeknife(double nu) nogil:
 * 
 *     if nu < -0.78:             # <<<<<<<<<<<<<<
 *         return 0.
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_nu < -0.78) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1499
 * 
 *     if nu < -0.78:
 *         return 0.             # <<<<<<<<<<<<<<
 *     else:
 *         return (
 */
    __pyx_r = 0.;
    goto __pyx_L0;

    /* "pycraf/pathprof/cyprop.pyx":1498
 * cdef inline double _J_edgeknife(double nu) nogil:
 * 
 *     if nu < -0.78:             # <<<<<<<<<<<<<<
 *         return 0.
 *     else:
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1501
 *         return 0.
 *     else:
 *         return (             # <<<<<<<<<<<<<<
 *             6.9 + 20 * log10(
 *                 sqrt((nu - 0.1) ** 2 + 1) + nu - 0.1
 */
  /*else*/ {

    /* "pycraf/pathprof/cyprop.pyx":1502
 *     else:
 *         return (
 *             6.9 + 20 * log10(             # <<<<<<<<<<<<<<
 *                 sqrt((nu - 0.1) ** 2 + 1) + nu - 0.1
 *                 )
 */
    __pyx_r = (6.9 + (20.0 * log10(((sqrt((pow((__pyx_v_nu - 0.1), 2.0) + 1.0)) + __pyx_v_nu) - 0.1))));
    goto __pyx_L0;
  }

  /* "pycraf/pathprof/cyprop.pyx":1496
 * 
 * 
 * cdef inline double _J_edgeknife(double nu) nogil:             # <<<<<<<<<<<<<<
 * 
 *     if nu < -0.78:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1508
 * 
 * 
 * cdef inline double _diffraction_deygout_helper(             # <<<<<<<<<<<<<<
 *         double dist, double nu_m, double nu_t, double nu_r
 *         ) nogil:
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_deygout_helper(double __pyx_v_dist, double __pyx_v_nu_m, double __pyx_v_nu_t, double __pyx_v_nu_r) {
  double __pyx_v_L_d;
  double __pyx_v_L_m;
  double __pyx_v_L_t;
  double __pyx_v_L_r;
  double __pyx_r;

  /* "pycraf/pathprof/cyprop.pyx":1514
 *     cdef:
 *         double L_d
 *         double L_m = _J_edgeknife(nu_m)             # <<<<<<<<<<<<<<
 *         double L_t = _J_edgeknife(nu_t)
 *         double L_r = _J_edgeknife(nu_r)
 */
  __pyx_v_L_m = __pyx_f_6pycraf_8pathprof_6cyprop__J_edgeknife(__pyx_v_nu_m);

  /* "pycraf/pathprof/cyprop.pyx":1515
 *         double L_d
 *         double L_m = _J_edgeknife(nu_m)
 *         double L_t = _J_edgeknife(nu_t)             # <<<<<<<<<<<<<<
 *         double L_r = _J_edgeknife(nu_r)
 * 
 */
  __pyx_v_L_t = __pyx_f_6pycraf_8pathprof_6cyprop__J_edgeknife(__pyx_v_nu_t);

  /* "pycraf/pathprof/cyprop.pyx":1516
 *         double L_m = _J_edgeknife(nu_m)
 *         double L_t = _J_edgeknife(nu_t)
 *         double L_r = _J_edgeknife(nu_r)             # <<<<<<<<<<<<<<
 * 
 *     L_d = L_m + (1 - exp(-L_m / 6.)) * (L_t + L_r + 10 + 0.04 * dist)
 */
  __pyx_v_L_r = __pyx_f_6pycraf_8pathprof_6cyprop__J_edgeknife(__pyx_v_nu_r);

  /* "pycraf/pathprof/cyprop.pyx":1518
 *         double L_r = _J_edgeknife(nu_r)
 * 
 *     L_d = L_m + (1 - exp(-L_m / 6.)) * (L_t + L_r + 10 + 0.04 * dist)             # <<<<<<<<<<<<<<
 * 
 *     return L_d
 */
  __pyx_v_L_d = (__pyx_v_L_m + ((1.0 - exp(((-__pyx_v_L_m) / 6.))) * (((__pyx_v_L_t + __pyx_v_L_r) + 10.0) + (0.04 * __pyx_v_dist))));

  /* "pycraf/pathprof/cyprop.pyx":1520
 *     L_d = L_m + (1 - exp(-L_m / 6.)) * (L_t + L_r + 10 + 0.04 * dist)
 * 
 *     return L_d             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_L_d;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1508
 * 
 * 
 * cdef inline double _diffraction_deygout_helper(             # <<<<<<<<<<<<<<
 *         double dist, double nu_m, double nu_t, double nu_r
 *         ) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1523
 * 
 * 
 * cdef inline double _diffraction_bullington_helper(             # <<<<<<<<<<<<<<
 *         double dist, double nu_bull
 *         ) nogil:
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_bullington_helper(double __pyx_v_dist, double __pyx_v_nu_bull) {
  double __pyx_v_L_uc;
  double __pyx_v_L_bull;
  double __pyx_r;

  /* "pycraf/pathprof/cyprop.pyx":1527
 *         ) nogil:
 * 
 *     cdef double L_uc = _J_edgeknife(nu_bull), L_bull             # <<<<<<<<<<<<<<
 * 
 *     L_bull = L_uc + (1 - exp(-L_uc / 6.)) * (10 + 0.02 * dist)
 */
  __pyx_v_L_uc = __pyx_f_6pycraf_8pathprof_6cyprop__J_edgeknife(__pyx_v_nu_bull);

  /* "pycraf/pathprof/cyprop.pyx":1529
 *     cdef double L_uc = _J_edgeknife(nu_bull), L_bull
 * 
 *     L_bull = L_uc + (1 - exp(-L_uc / 6.)) * (10 + 0.02 * dist)             # <<<<<<<<<<<<<<
 * 
 *     return L_bull
 */
  __pyx_v_L_bull = (__pyx_v_L_uc + ((1.0 - exp(((-__pyx_v_L_uc) / 6.))) * (10.0 + (0.02 * __pyx_v_dist))));

  /* "pycraf/pathprof/cyprop.pyx":1531
 *     L_bull = L_uc + (1 - exp(-L_uc / 6.)) * (10 + 0.02 * dist)
 * 
 *     return L_bull             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_L_bull;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1523
 * 
 * 
 * cdef inline double _diffraction_bullington_helper(             # <<<<<<<<<<<<<<
 *         double dist, double nu_bull
 *         ) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1534
 * 
 * 
 * cdef double _L_dft_G_helper(             # <<<<<<<<<<<<<<
 *         double beta_dft, double Y, double K,
 *         ) nogil:
 */

static double __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_G_helper(double __pyx_v_beta_dft, double __pyx_v_Y, double __pyx_v_K) {
  double __pyx_v_B;
  double __pyx_v_res;
  double __pyx_v_tmp;
  double __pyx_r;
  int __pyx_t_1;

  /* "pycraf/pathprof/cyprop.pyx":1542
 *         double B, res, tmp
 * 
 *     B = beta_dft * Y             # <<<<<<<<<<<<<<
 *     if B > 2.:
 *         res = 17.6 * sqrt(B - 1.1) - 5 * log10(B - 1.1) - 8
 */
  __pyx_v_B = (__pyx_v_beta_dft * __pyx_v_Y);

  /* "pycraf/pathprof/cyprop.pyx":1543
 * 
 *     B = beta_dft * Y
 *     if B > 2.:             # <<<<<<<<<<<<<<
 *         res = 17.6 * sqrt(B - 1.1) - 5 * log10(B - 1.1) - 8
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_B > 2.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1544
 *     B = beta_dft * Y
 *     if B > 2.:
 *         res = 17.6 * sqrt(B - 1.1) - 5 * log10(B - 1.1) - 8             # <<<<<<<<<<<<<<
 *     else:
 *         res = 20 * log10(B + 0.1 * B ** 3)
 */
    __pyx_v_res = (((17.6 * sqrt((__pyx_v_B - 1.1))) - (5.0 * log10((__pyx_v_B - 1.1)))) - 8.0);

    /* "pycraf/pathprof/cyprop.pyx":1543
 * 
 *     B = beta_dft * Y
 *     if B > 2.:             # <<<<<<<<<<<<<<
 *         res = 17.6 * sqrt(B - 1.1) - 5 * log10(B - 1.1) - 8
 *     else:
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":1546
 *         res = 17.6 * sqrt(B - 1.1) - 5 * log10(B - 1.1) - 8
 *     else:
 *         res = 20 * log10(B + 0.1 * B ** 3)             # <<<<<<<<<<<<<<
 * 
 *     tmp = 2 + 20 * log10(K)
 */
  /*else*/ {
    __pyx_v_res = (20.0 * log10((__pyx_v_B + (0.1 * pow(__pyx_v_B, 3.0)))));
  }
  __pyx_L3:;

  /* "pycraf/pathprof/cyprop.pyx":1548
 *         res = 20 * log10(B + 0.1 * B ** 3)
 * 
 *     tmp = 2 + 20 * log10(K)             # <<<<<<<<<<<<<<
 *     if res < tmp:
 *         res = tmp
 */
  __pyx_v_tmp = (2.0 + (20.0 * log10(__pyx_v_K)));

  /* "pycraf/pathprof/cyprop.pyx":1549
 * 
 *     tmp = 2 + 20 * log10(K)
 *     if res < tmp:             # <<<<<<<<<<<<<<
 *         res = tmp
 * 
 */
  __pyx_t_1 = ((__pyx_v_res < __pyx_v_tmp) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1550
 *     tmp = 2 + 20 * log10(K)
 *     if res < tmp:
 *         res = tmp             # <<<<<<<<<<<<<<
 * 
 *     return res
 */
    __pyx_v_res = __pyx_v_tmp;

    /* "pycraf/pathprof/cyprop.pyx":1549
 * 
 *     tmp = 2 + 20 * log10(K)
 *     if res < tmp:             # <<<<<<<<<<<<<<
 *         res = tmp
 * 
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1552
 *         res = tmp
 * 
 *     return res             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_res;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1534
 * 
 * 
 * cdef double _L_dft_G_helper(             # <<<<<<<<<<<<<<
 *         double beta_dft, double Y, double K,
 *         ) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1555
 * 
 * 
 * cdef double _L_dft_helper(             # <<<<<<<<<<<<<<
 *         double a_dft,
 *         double dist, double freq,
 */

static double __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_helper(double __pyx_v_a_dft, double __pyx_v_dist, double __pyx_v_freq, double __pyx_v_h_te, double __pyx_v_h_re, int __pyx_v_pol, double __pyx_v_eps_r, double __pyx_v_sigma) {
  double __pyx_v_K;
  double __pyx_v_K2;
  double __pyx_v_K4;
  double __pyx_v_beta_dft;
  double __pyx_v_X;
  double __pyx_v_Y;
  double __pyx_v_Y_t;
  double __pyx_v_Y_r;
  double __pyx_v_F_X;
  double __pyx_r;
  int __pyx_t_1;

  /* "pycraf/pathprof/cyprop.pyx":1569
 *         double X, Y, Y_t, Y_r, F_X
 * 
 *     K = 0.036 * cpower(a_dft * freq, -1. / 3.) * cpower(             # <<<<<<<<<<<<<<
 *         (eps_r - 1) ** 2 + (18. * sigma / freq) ** 2, -0.25
 *         )
 */
  __pyx_v_K = ((0.036 * pow((__pyx_v_a_dft * __pyx_v_freq), (-1. / 3.))) * pow((pow((__pyx_v_eps_r - 1.0), 2.0) + pow(((18. * __pyx_v_sigma) / __pyx_v_freq), 2.0)), -0.25));

  /* "pycraf/pathprof/cyprop.pyx":1573
 *         )
 * 
 *     if pol == 1:             # <<<<<<<<<<<<<<
 * 
 *         K *= cpower(eps_r ** 2 + (18. * sigma / freq) ** 2, 0.5)
 */
  __pyx_t_1 = ((__pyx_v_pol == 1) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1575
 *     if pol == 1:
 * 
 *         K *= cpower(eps_r ** 2 + (18. * sigma / freq) ** 2, 0.5)             # <<<<<<<<<<<<<<
 * 
 *     K2 = K * K
 */
    __pyx_v_K = (__pyx_v_K * pow((pow(__pyx_v_eps_r, 2.0) + pow(((18. * __pyx_v_sigma) / __pyx_v_freq), 2.0)), 0.5));

    /* "pycraf/pathprof/cyprop.pyx":1573
 *         )
 * 
 *     if pol == 1:             # <<<<<<<<<<<<<<
 * 
 *         K *= cpower(eps_r ** 2 + (18. * sigma / freq) ** 2, 0.5)
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1577
 *         K *= cpower(eps_r ** 2 + (18. * sigma / freq) ** 2, 0.5)
 * 
 *     K2 = K * K             # <<<<<<<<<<<<<<
 *     K4 = K2 * K2
 *     beta_dft = (1. + 1.6 * K2 + 0.67 * K4) / (1. + 4.5 * K2 + 1.53 * K4)
 */
  __pyx_v_K2 = (__pyx_v_K * __pyx_v_K);

  /* "pycraf/pathprof/cyprop.pyx":1578
 * 
 *     K2 = K * K
 *     K4 = K2 * K2             # <<<<<<<<<<<<<<
 *     beta_dft = (1. + 1.6 * K2 + 0.67 * K4) / (1. + 4.5 * K2 + 1.53 * K4)
 * 
 */
  __pyx_v_K4 = (__pyx_v_K2 * __pyx_v_K2);

  /* "pycraf/pathprof/cyprop.pyx":1579
 *     K2 = K * K
 *     K4 = K2 * K2
 *     beta_dft = (1. + 1.6 * K2 + 0.67 * K4) / (1. + 4.5 * K2 + 1.53 * K4)             # <<<<<<<<<<<<<<
 * 
 *     X = 21.88 * beta_dft * cpower(freq / a_dft ** 2, 1. / 3.) * dist
 */
  __pyx_v_beta_dft = (((1. + (1.6 * __pyx_v_K2)) + (0.67 * __pyx_v_K4)) / ((1. + (4.5 * __pyx_v_K2)) + (1.53 * __pyx_v_K4)));

  /* "pycraf/pathprof/cyprop.pyx":1581
 *     beta_dft = (1. + 1.6 * K2 + 0.67 * K4) / (1. + 4.5 * K2 + 1.53 * K4)
 * 
 *     X = 21.88 * beta_dft * cpower(freq / a_dft ** 2, 1. / 3.) * dist             # <<<<<<<<<<<<<<
 *     Y = 0.9575 * beta_dft * cpower(freq ** 2 / a_dft, 1. / 3.)
 *     Y_t = Y * h_te
 */
  __pyx_v_X = (((21.88 * __pyx_v_beta_dft) * pow((__pyx_v_freq / pow(__pyx_v_a_dft, 2.0)), (1. / 3.))) * __pyx_v_dist);

  /* "pycraf/pathprof/cyprop.pyx":1582
 * 
 *     X = 21.88 * beta_dft * cpower(freq / a_dft ** 2, 1. / 3.) * dist
 *     Y = 0.9575 * beta_dft * cpower(freq ** 2 / a_dft, 1. / 3.)             # <<<<<<<<<<<<<<
 *     Y_t = Y * h_te
 *     Y_r = Y * h_re
 */
  __pyx_v_Y = ((0.9575 * __pyx_v_beta_dft) * pow((pow(__pyx_v_freq, 2.0) / __pyx_v_a_dft), (1. / 3.)));

  /* "pycraf/pathprof/cyprop.pyx":1583
 *     X = 21.88 * beta_dft * cpower(freq / a_dft ** 2, 1. / 3.) * dist
 *     Y = 0.9575 * beta_dft * cpower(freq ** 2 / a_dft, 1. / 3.)
 *     Y_t = Y * h_te             # <<<<<<<<<<<<<<
 *     Y_r = Y * h_re
 * 
 */
  __pyx_v_Y_t = (__pyx_v_Y * __pyx_v_h_te);

  /* "pycraf/pathprof/cyprop.pyx":1584
 *     Y = 0.9575 * beta_dft * cpower(freq ** 2 / a_dft, 1. / 3.)
 *     Y_t = Y * h_te
 *     Y_r = Y * h_re             # <<<<<<<<<<<<<<
 * 
 *     if X >= 1.6:
 */
  __pyx_v_Y_r = (__pyx_v_Y * __pyx_v_h_re);

  /* "pycraf/pathprof/cyprop.pyx":1586
 *     Y_r = Y * h_re
 * 
 *     if X >= 1.6:             # <<<<<<<<<<<<<<
 *         F_X = 11. + 10 * log10(X) - 17.6 * X
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_X >= 1.6) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1587
 * 
 *     if X >= 1.6:
 *         F_X = 11. + 10 * log10(X) - 17.6 * X             # <<<<<<<<<<<<<<
 *     else:
 *         F_X = -20 * log10(X) - 5.6488 * cpower(X, 1.425)
 */
    __pyx_v_F_X = ((11. + (10.0 * log10(__pyx_v_X))) - (17.6 * __pyx_v_X));

    /* "pycraf/pathprof/cyprop.pyx":1586
 *     Y_r = Y * h_re
 * 
 *     if X >= 1.6:             # <<<<<<<<<<<<<<
 *         F_X = 11. + 10 * log10(X) - 17.6 * X
 *     else:
 */
    goto __pyx_L4;
  }

  /* "pycraf/pathprof/cyprop.pyx":1589
 *         F_X = 11. + 10 * log10(X) - 17.6 * X
 *     else:
 *         F_X = -20 * log10(X) - 5.6488 * cpower(X, 1.425)             # <<<<<<<<<<<<<<
 * 
 *     return (
 */
  /*else*/ {
    __pyx_v_F_X = ((-20.0 * log10(__pyx_v_X)) - (5.6488 * pow(__pyx_v_X, 1.425)));
  }
  __pyx_L4:;

  /* "pycraf/pathprof/cyprop.pyx":1593
 *     return (
 *         -F_X -
 *         _L_dft_G_helper(beta_dft, Y_t, K) -             # <<<<<<<<<<<<<<
 *         _L_dft_G_helper(beta_dft, Y_r, K)
 *         )
 */
  __pyx_r = (((-__pyx_v_F_X) - __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_G_helper(__pyx_v_beta_dft, __pyx_v_Y_t, __pyx_v_K)) - __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_G_helper(__pyx_v_beta_dft, __pyx_v_Y_r, __pyx_v_K));
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1555
 * 
 * 
 * cdef double _L_dft_helper(             # <<<<<<<<<<<<<<
 *         double a_dft,
 *         double dist, double freq,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1598
 * 
 * 
 * cdef double _L_dft(             # <<<<<<<<<<<<<<
 *         double a_dft,
 *         double dist, double freq,
 */

static double __pyx_f_6pycraf_8pathprof_6cyprop__L_dft(double __pyx_v_a_dft, double __pyx_v_dist, double __pyx_v_freq, double __pyx_v_h_te, double __pyx_v_h_re, double __pyx_v_omega_frac, int __pyx_v_pol) {
  double __pyx_v_L_dft_land;
  double __pyx_v_L_dft_sea;
  double __pyx_v_L_dft;
  double __pyx_r;

  /* "pycraf/pathprof/cyprop.pyx":1610
 *         double L_dft_land, L_dft_sea, L_dft
 * 
 *     L_dft_land = _L_dft_helper(             # <<<<<<<<<<<<<<
 *         a_dft, dist, freq, h_te, h_re, pol, 22., 0.003
 *         )
 */
  __pyx_v_L_dft_land = __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_helper(__pyx_v_a_dft, __pyx_v_dist, __pyx_v_freq, __pyx_v_h_te, __pyx_v_h_re, __pyx_v_pol, 22., 0.003);

  /* "pycraf/pathprof/cyprop.pyx":1613
 *         a_dft, dist, freq, h_te, h_re, pol, 22., 0.003
 *         )
 *     L_dft_sea = _L_dft_helper(             # <<<<<<<<<<<<<<
 *         a_dft, dist, freq, h_te, h_re, pol, 80., 5.0
 *         )
 */
  __pyx_v_L_dft_sea = __pyx_f_6pycraf_8pathprof_6cyprop__L_dft_helper(__pyx_v_a_dft, __pyx_v_dist, __pyx_v_freq, __pyx_v_h_te, __pyx_v_h_re, __pyx_v_pol, 80., 5.0);

  /* "pycraf/pathprof/cyprop.pyx":1617
 *         )
 * 
 *     L_dft = omega_frac * L_dft_sea + (1. - 0.01 * omega_frac) * L_dft_land             # <<<<<<<<<<<<<<
 * 
 *     return L_dft
 */
  __pyx_v_L_dft = ((__pyx_v_omega_frac * __pyx_v_L_dft_sea) + ((1. - (0.01 * __pyx_v_omega_frac)) * __pyx_v_L_dft_land));

  /* "pycraf/pathprof/cyprop.pyx":1619
 *     L_dft = omega_frac * L_dft_sea + (1. - 0.01 * omega_frac) * L_dft_land
 * 
 *     return L_dft             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_L_dft;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1598
 * 
 * 
 * cdef double _L_dft(             # <<<<<<<<<<<<<<
 *         double a_dft,
 *         double dist, double freq,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1622
 * 
 * 
 * cdef double _diffraction_spherical_earth_loss_helper(             # <<<<<<<<<<<<<<
 *         double dist, double freq,
 *         double a_p,
 */

static double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_spherical_earth_loss_helper(double __pyx_v_dist, double __pyx_v_freq, double __pyx_v_a_p, double __pyx_v_h_te, double __pyx_v_h_re, double __pyx_v_omega_frac, int __pyx_v_pol) {
  double __pyx_v_wavelen;
  double __pyx_v_d_los;
  double __pyx_v_a_dft;
  double __pyx_v_a_em;
  double __pyx_v_L_dft;
  double __pyx_v_L_dsph;
  double __pyx_v_c;
  double __pyx_v_b;
  double __pyx_v_m;
  double __pyx_v_d_se1;
  double __pyx_v_d_se2;
  double __pyx_v_h_se;
  double __pyx_v_h_req;
  double __pyx_r;
  int __pyx_t_1;

  /* "pycraf/pathprof/cyprop.pyx":1632
 *     cdef:
 * 
 *         double wavelen = 0.299792458 / freq             # <<<<<<<<<<<<<<
 *         double d_los, a_dft, a_em, L_dft, L_dsph
 *         double c, b, m, d_se1, d_se2, h_se, h_req
 */
  __pyx_v_wavelen = (0.299792458 / __pyx_v_freq);

  /* "pycraf/pathprof/cyprop.pyx":1636
 *         double c, b, m, d_se1, d_se2, h_se, h_req
 * 
 *     d_los = sqrt(2 * a_p) * (sqrt(0.001 * h_te) + sqrt(0.001 * h_re))             # <<<<<<<<<<<<<<
 * 
 *     if dist >= d_los:
 */
  __pyx_v_d_los = (sqrt((2.0 * __pyx_v_a_p)) * (sqrt((0.001 * __pyx_v_h_te)) + sqrt((0.001 * __pyx_v_h_re))));

  /* "pycraf/pathprof/cyprop.pyx":1638
 *     d_los = sqrt(2 * a_p) * (sqrt(0.001 * h_te) + sqrt(0.001 * h_re))
 * 
 *     if dist >= d_los:             # <<<<<<<<<<<<<<
 * 
 *         a_dft = a_p
 */
  __pyx_t_1 = ((__pyx_v_dist >= __pyx_v_d_los) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1640
 *     if dist >= d_los:
 * 
 *         a_dft = a_p             # <<<<<<<<<<<<<<
 *         return _L_dft(a_dft, dist, freq, h_te, h_re, omega_frac, pol)
 * 
 */
    __pyx_v_a_dft = __pyx_v_a_p;

    /* "pycraf/pathprof/cyprop.pyx":1641
 * 
 *         a_dft = a_p
 *         return _L_dft(a_dft, dist, freq, h_te, h_re, omega_frac, pol)             # <<<<<<<<<<<<<<
 * 
 *     else:
 */
    __pyx_r = __pyx_f_6pycraf_8pathprof_6cyprop__L_dft(__pyx_v_a_dft, __pyx_v_dist, __pyx_v_freq, __pyx_v_h_te, __pyx_v_h_re, __pyx_v_omega_frac, __pyx_v_pol);
    goto __pyx_L0;

    /* "pycraf/pathprof/cyprop.pyx":1638
 *     d_los = sqrt(2 * a_p) * (sqrt(0.001 * h_te) + sqrt(0.001 * h_re))
 * 
 *     if dist >= d_los:             # <<<<<<<<<<<<<<
 * 
 *         a_dft = a_p
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1645
 *     else:
 * 
 *         c = (h_te - h_re) / (h_te + h_re)             # <<<<<<<<<<<<<<
 *         m = 250. * dist ** 2 / a_p / (h_te + h_re)
 * 
 */
  /*else*/ {
    __pyx_v_c = ((__pyx_v_h_te - __pyx_v_h_re) / (__pyx_v_h_te + __pyx_v_h_re));

    /* "pycraf/pathprof/cyprop.pyx":1646
 * 
 *         c = (h_te - h_re) / (h_te + h_re)
 *         m = 250. * dist ** 2 / a_p / (h_te + h_re)             # <<<<<<<<<<<<<<
 * 
 *         b = 2 * sqrt((m + 1.) / 3. / m) * cos(
 */
    __pyx_v_m = (((250. * pow(__pyx_v_dist, 2.0)) / __pyx_v_a_p) / (__pyx_v_h_te + __pyx_v_h_re));

    /* "pycraf/pathprof/cyprop.pyx":1648
 *         m = 250. * dist ** 2 / a_p / (h_te + h_re)
 * 
 *         b = 2 * sqrt((m + 1.) / 3. / m) * cos(             # <<<<<<<<<<<<<<
 *             M_PI / 3. +
 *             1. / 3. * acos(3. * c / 2. * sqrt(3. * m / (m + 1.) ** 3))
 */
    __pyx_v_b = ((2.0 * sqrt((((__pyx_v_m + 1.) / 3.) / __pyx_v_m))) * cos(((((double)M_PI) / 3.) + ((1. / 3.) * acos((((3. * __pyx_v_c) / 2.) * sqrt(((3. * __pyx_v_m) / pow((__pyx_v_m + 1.), 3.0)))))))));

    /* "pycraf/pathprof/cyprop.pyx":1653
 *             )
 * 
 *         d_se1 = 0.5 * dist * (1. + b)             # <<<<<<<<<<<<<<
 *         d_se2 = dist - d_se1
 * 
 */
    __pyx_v_d_se1 = ((0.5 * __pyx_v_dist) * (1. + __pyx_v_b));

    /* "pycraf/pathprof/cyprop.pyx":1654
 * 
 *         d_se1 = 0.5 * dist * (1. + b)
 *         d_se2 = dist - d_se1             # <<<<<<<<<<<<<<
 * 
 *         h_se = (
 */
    __pyx_v_d_se2 = (__pyx_v_dist - __pyx_v_d_se1);

    /* "pycraf/pathprof/cyprop.pyx":1659
 *             (h_te - 500 * d_se1 ** 2 / a_p) * d_se2 +
 *             (h_re - 500 * d_se2 ** 2 / a_p) * d_se1
 *             ) / dist             # <<<<<<<<<<<<<<
 * 
 *         h_req = 17.456 * sqrt(d_se1 * d_se2 * wavelen / dist)
 */
    __pyx_v_h_se = ((((__pyx_v_h_te - ((500.0 * pow(__pyx_v_d_se1, 2.0)) / __pyx_v_a_p)) * __pyx_v_d_se2) + ((__pyx_v_h_re - ((500.0 * pow(__pyx_v_d_se2, 2.0)) / __pyx_v_a_p)) * __pyx_v_d_se1)) / __pyx_v_dist);

    /* "pycraf/pathprof/cyprop.pyx":1661
 *             ) / dist
 * 
 *         h_req = 17.456 * sqrt(d_se1 * d_se2 * wavelen / dist)             # <<<<<<<<<<<<<<
 * 
 *         if h_se > h_req:
 */
    __pyx_v_h_req = (17.456 * sqrt((((__pyx_v_d_se1 * __pyx_v_d_se2) * __pyx_v_wavelen) / __pyx_v_dist)));

    /* "pycraf/pathprof/cyprop.pyx":1663
 *         h_req = 17.456 * sqrt(d_se1 * d_se2 * wavelen / dist)
 * 
 *         if h_se > h_req:             # <<<<<<<<<<<<<<
 * 
 *             return 0.
 */
    __pyx_t_1 = ((__pyx_v_h_se > __pyx_v_h_req) != 0);
    if (__pyx_t_1) {

      /* "pycraf/pathprof/cyprop.pyx":1665
 *         if h_se > h_req:
 * 
 *             return 0.             # <<<<<<<<<<<<<<
 * 
 *         a_em = 500. * (dist / (sqrt(h_te) + sqrt(h_re))) ** 2
 */
      __pyx_r = 0.;
      goto __pyx_L0;

      /* "pycraf/pathprof/cyprop.pyx":1663
 *         h_req = 17.456 * sqrt(d_se1 * d_se2 * wavelen / dist)
 * 
 *         if h_se > h_req:             # <<<<<<<<<<<<<<
 * 
 *             return 0.
 */
    }

    /* "pycraf/pathprof/cyprop.pyx":1667
 *             return 0.
 * 
 *         a_em = 500. * (dist / (sqrt(h_te) + sqrt(h_re))) ** 2             # <<<<<<<<<<<<<<
 *         a_dft = a_em
 * 
 */
    __pyx_v_a_em = (500. * pow((__pyx_v_dist / (sqrt(__pyx_v_h_te) + sqrt(__pyx_v_h_re))), 2.0));

    /* "pycraf/pathprof/cyprop.pyx":1668
 * 
 *         a_em = 500. * (dist / (sqrt(h_te) + sqrt(h_re))) ** 2
 *         a_dft = a_em             # <<<<<<<<<<<<<<
 * 
 *         L_dft = _L_dft(a_dft, dist, freq, h_te, h_re, omega_frac, pol)
 */
    __pyx_v_a_dft = __pyx_v_a_em;

    /* "pycraf/pathprof/cyprop.pyx":1670
 *         a_dft = a_em
 * 
 *         L_dft = _L_dft(a_dft, dist, freq, h_te, h_re, omega_frac, pol)             # <<<<<<<<<<<<<<
 * 
 *         if L_dft < 0:
 */
    __pyx_v_L_dft = __pyx_f_6pycraf_8pathprof_6cyprop__L_dft(__pyx_v_a_dft, __pyx_v_dist, __pyx_v_freq, __pyx_v_h_te, __pyx_v_h_re, __pyx_v_omega_frac, __pyx_v_pol);

    /* "pycraf/pathprof/cyprop.pyx":1672
 *         L_dft = _L_dft(a_dft, dist, freq, h_te, h_re, omega_frac, pol)
 * 
 *         if L_dft < 0:             # <<<<<<<<<<<<<<
 *             return 0.
 * 
 */
    __pyx_t_1 = ((__pyx_v_L_dft < 0.0) != 0);
    if (__pyx_t_1) {

      /* "pycraf/pathprof/cyprop.pyx":1673
 * 
 *         if L_dft < 0:
 *             return 0.             # <<<<<<<<<<<<<<
 * 
 *         L_dsph = (1. - h_se / h_req) * L_dft
 */
      __pyx_r = 0.;
      goto __pyx_L0;

      /* "pycraf/pathprof/cyprop.pyx":1672
 *         L_dft = _L_dft(a_dft, dist, freq, h_te, h_re, omega_frac, pol)
 * 
 *         if L_dft < 0:             # <<<<<<<<<<<<<<
 *             return 0.
 * 
 */
    }

    /* "pycraf/pathprof/cyprop.pyx":1675
 *             return 0.
 * 
 *         L_dsph = (1. - h_se / h_req) * L_dft             # <<<<<<<<<<<<<<
 * 
 *         return L_dsph
 */
    __pyx_v_L_dsph = ((1. - (__pyx_v_h_se / __pyx_v_h_req)) * __pyx_v_L_dft);

    /* "pycraf/pathprof/cyprop.pyx":1677
 *         L_dsph = (1. - h_se / h_req) * L_dft
 * 
 *         return L_dsph             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_r = __pyx_v_L_dsph;
    goto __pyx_L0;
  }

  /* "pycraf/pathprof/cyprop.pyx":1622
 * 
 * 
 * cdef double _diffraction_spherical_earth_loss_helper(             # <<<<<<<<<<<<<<
 *         double dist, double freq,
 *         double a_p,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1680
 * 
 * 
 * cdef double _delta_bullington_loss(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         int do_beta,
 */

static double __pyx_f_6pycraf_8pathprof_6cyprop__delta_bullington_loss(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct __pyx_v_pp, int __pyx_v_do_beta) {
  double __pyx_v_nu_bull;
  double __pyx_v_nu_bull_zh;
  double __pyx_v_a_p;
  double __pyx_v_h_te;
  double __pyx_v_h_re;
  double __pyx_v_omega_frac;
  double __pyx_v_L_bulla;
  double __pyx_v_L_bulls;
  double __pyx_v_L_dsph;
  double __pyx_v_L_d;
  double __pyx_r;
  int __pyx_t_1;
  double __pyx_t_2;
  long __pyx_t_3;
  double __pyx_t_4;

  /* "pycraf/pathprof/cyprop.pyx":1689
 *         double nu_bull, nu_bull_zh, a_p
 *         double h_te, h_re
 *         double omega_frac = 0.01 * pp.omega             # <<<<<<<<<<<<<<
 *         double L_bulla, L_bulls, L_dsph, L_d
 * 
 */
  __pyx_v_omega_frac = (0.01 * __pyx_v_pp.omega);

  /* "pycraf/pathprof/cyprop.pyx":1694
 *     # median Earth radius, with height profile:
 * 
 *     if do_beta:             # <<<<<<<<<<<<<<
 *         nu_bull = pp.nu_bull_b0
 *         nu_bull_zh = pp.nu_bull_zh_b0
 */
  __pyx_t_1 = (__pyx_v_do_beta != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1695
 * 
 *     if do_beta:
 *         nu_bull = pp.nu_bull_b0             # <<<<<<<<<<<<<<
 *         nu_bull_zh = pp.nu_bull_zh_b0
 *         a_p = pp.a_e_b0
 */
    __pyx_t_2 = __pyx_v_pp.nu_bull_b0;
    __pyx_v_nu_bull = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1696
 *     if do_beta:
 *         nu_bull = pp.nu_bull_b0
 *         nu_bull_zh = pp.nu_bull_zh_b0             # <<<<<<<<<<<<<<
 *         a_p = pp.a_e_b0
 *     else:
 */
    __pyx_t_2 = __pyx_v_pp.nu_bull_zh_b0;
    __pyx_v_nu_bull_zh = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1697
 *         nu_bull = pp.nu_bull_b0
 *         nu_bull_zh = pp.nu_bull_zh_b0
 *         a_p = pp.a_e_b0             # <<<<<<<<<<<<<<
 *     else:
 *         nu_bull = pp.nu_bull_50
 */
    __pyx_t_2 = __pyx_v_pp.a_e_b0;
    __pyx_v_a_p = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1694
 *     # median Earth radius, with height profile:
 * 
 *     if do_beta:             # <<<<<<<<<<<<<<
 *         nu_bull = pp.nu_bull_b0
 *         nu_bull_zh = pp.nu_bull_zh_b0
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":1699
 *         a_p = pp.a_e_b0
 *     else:
 *         nu_bull = pp.nu_bull_50             # <<<<<<<<<<<<<<
 *         nu_bull_zh = pp.nu_bull_zh_50
 *         a_p = pp.a_e_50
 */
  /*else*/ {
    __pyx_t_2 = __pyx_v_pp.nu_bull_50;
    __pyx_v_nu_bull = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1700
 *     else:
 *         nu_bull = pp.nu_bull_50
 *         nu_bull_zh = pp.nu_bull_zh_50             # <<<<<<<<<<<<<<
 *         a_p = pp.a_e_50
 * 
 */
    __pyx_t_2 = __pyx_v_pp.nu_bull_zh_50;
    __pyx_v_nu_bull_zh = __pyx_t_2;

    /* "pycraf/pathprof/cyprop.pyx":1701
 *         nu_bull = pp.nu_bull_50
 *         nu_bull_zh = pp.nu_bull_zh_50
 *         a_p = pp.a_e_50             # <<<<<<<<<<<<<<
 * 
 *     L_bulla = _diffraction_bullington_helper(
 */
    __pyx_t_2 = __pyx_v_pp.a_e_50;
    __pyx_v_a_p = __pyx_t_2;
  }
  __pyx_L3:;

  /* "pycraf/pathprof/cyprop.pyx":1703
 *         a_p = pp.a_e_50
 * 
 *     L_bulla = _diffraction_bullington_helper(             # <<<<<<<<<<<<<<
 *         pp.distance, nu_bull
 *         )
 */
  __pyx_v_L_bulla = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_bullington_helper(__pyx_v_pp.distance, __pyx_v_nu_bull);

  /* "pycraf/pathprof/cyprop.pyx":1706
 *         pp.distance, nu_bull
 *         )
 *     L_bulls = _diffraction_bullington_helper(             # <<<<<<<<<<<<<<
 *         pp.distance, nu_bull_zh
 *         )
 */
  __pyx_v_L_bulls = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_bullington_helper(__pyx_v_pp.distance, __pyx_v_nu_bull_zh);

  /* "pycraf/pathprof/cyprop.pyx":1710
 *         )
 * 
 *     h_te = pp.h_ts - pp.h_std  # != pp.h_te             # <<<<<<<<<<<<<<
 *     h_re = pp.h_rs - pp.h_srd  # != pp.h_re
 * 
 */
  __pyx_v_h_te = (__pyx_v_pp.h_ts - __pyx_v_pp.h_std);

  /* "pycraf/pathprof/cyprop.pyx":1711
 * 
 *     h_te = pp.h_ts - pp.h_std  # != pp.h_te
 *     h_re = pp.h_rs - pp.h_srd  # != pp.h_re             # <<<<<<<<<<<<<<
 * 
 *     L_dsph = _diffraction_spherical_earth_loss_helper(
 */
  __pyx_v_h_re = (__pyx_v_pp.h_rs - __pyx_v_pp.h_srd);

  /* "pycraf/pathprof/cyprop.pyx":1713
 *     h_re = pp.h_rs - pp.h_srd  # != pp.h_re
 * 
 *     L_dsph = _diffraction_spherical_earth_loss_helper(             # <<<<<<<<<<<<<<
 *         pp.distance, pp.freq, a_p, h_te, h_re, omega_frac, pp.polarization
 *         )
 */
  __pyx_v_L_dsph = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_spherical_earth_loss_helper(__pyx_v_pp.distance, __pyx_v_pp.freq, __pyx_v_a_p, __pyx_v_h_te, __pyx_v_h_re, __pyx_v_omega_frac, __pyx_v_pp.polarization);

  /* "pycraf/pathprof/cyprop.pyx":1717
 *         )
 * 
 *     L_d = L_bulla + max(L_dsph - L_bulls, 0)             # <<<<<<<<<<<<<<
 * 
 *     return L_d
 */
  __pyx_t_3 = 0;
  __pyx_t_2 = (__pyx_v_L_dsph - __pyx_v_L_bulls);
  if (((__pyx_t_3 > __pyx_t_2) != 0)) {
    __pyx_t_4 = __pyx_t_3;
  } else {
    __pyx_t_4 = __pyx_t_2;
  }
  __pyx_v_L_d = (__pyx_v_L_bulla + __pyx_t_4);

  /* "pycraf/pathprof/cyprop.pyx":1719
 *     L_d = L_bulla + max(L_dsph - L_bulls, 0)
 * 
 *     return L_d             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_L_d;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1680
 * 
 * 
 * cdef double _delta_bullington_loss(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         int do_beta,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1722
 * 
 * 
 * cdef inline double _I_helper(             # <<<<<<<<<<<<<<
 *         double x) nogil:
 * 
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__I_helper(double __pyx_v_x) {
  double __pyx_v_T;
  double __pyx_v_Z;
  double __pyx_r;

  /* "pycraf/pathprof/cyprop.pyx":1729
 *         double T, Z
 * 
 *     T = sqrt(-2 * log(x))             # <<<<<<<<<<<<<<
 *     Z = (
 *         (
 */
  __pyx_v_T = sqrt((-2.0 * log(__pyx_v_x)));

  /* "pycraf/pathprof/cyprop.pyx":1733
 *         (
 *             ((0.010328 * T + 0.802853) * T) + 2.515516698
 *             ) /             # <<<<<<<<<<<<<<
 *         (
 *             ((0.001308 * T + 0.189269) * T + 1.432788) * T + 1.
 */
  __pyx_v_Z = (((((0.010328 * __pyx_v_T) + 0.802853) * __pyx_v_T) + 2.515516698) / ((((((0.001308 * __pyx_v_T) + 0.189269) * __pyx_v_T) + 1.432788) * __pyx_v_T) + 1.));

  /* "pycraf/pathprof/cyprop.pyx":1739
 *         )
 * 
 *     return Z - T             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = (__pyx_v_Z - __pyx_v_T);
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1722
 * 
 * 
 * cdef inline double _I_helper(             # <<<<<<<<<<<<<<
 *         double x) nogil:
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1742
 * 
 * 
 * cdef (double, double, double, double, double) _diffraction_loss_complete(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         ) nogil:
 */

static __pyx_ctuple_double__and_double__and_double__and_double__and_double __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_loss_complete(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct __pyx_v_pp) {
  double __pyx_v_L_d_50;
  double __pyx_v_L_dp;
  double __pyx_v_L_d_beta;
  double __pyx_v_L_b0p;
  double __pyx_v_L_b0beta;
  double __pyx_v_L_bd_50;
  double __pyx_v_L_bd;
  double __pyx_v_L_bfsg;
  double __pyx_v_E_sp;
  double __pyx_v_E_sbeta;
  double __pyx_v_L_min_b0p;
  double __pyx_v_F_i;
  __pyx_ctuple_double__and_double__and_double__and_double__and_double __pyx_r;
  int __pyx_t_1;
  __pyx_ctuple_double__and_double__and_double __pyx_t_2;
  double __pyx_t_3;
  double __pyx_t_4;
  double __pyx_t_5;
  __pyx_ctuple_double__and_double__and_double__and_double__and_double __pyx_t_6;

  /* "pycraf/pathprof/cyprop.pyx":1752
 *         double F_i
 * 
 *     if pp.version == 16:             # <<<<<<<<<<<<<<
 *         L_d_50 = _delta_bullington_loss(pp, 0)
 *     elif pp.version == 14:
 */
  switch (__pyx_v_pp.version) {
    case 16:

    /* "pycraf/pathprof/cyprop.pyx":1753
 * 
 *     if pp.version == 16:
 *         L_d_50 = _delta_bullington_loss(pp, 0)             # <<<<<<<<<<<<<<
 *     elif pp.version == 14:
 *         L_d_50 = _diffraction_deygout_helper(
 */
    __pyx_v_L_d_50 = __pyx_f_6pycraf_8pathprof_6cyprop__delta_bullington_loss(__pyx_v_pp, 0);

    /* "pycraf/pathprof/cyprop.pyx":1752
 *         double F_i
 * 
 *     if pp.version == 16:             # <<<<<<<<<<<<<<
 *         L_d_50 = _delta_bullington_loss(pp, 0)
 *     elif pp.version == 14:
 */
    break;
    case 14:

    /* "pycraf/pathprof/cyprop.pyx":1755
 *         L_d_50 = _delta_bullington_loss(pp, 0)
 *     elif pp.version == 14:
 *         L_d_50 = _diffraction_deygout_helper(             # <<<<<<<<<<<<<<
 *             pp.distance, pp.nu_m50, pp.nu_t50, pp.nu_r50
 *             )
 */
    __pyx_v_L_d_50 = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_deygout_helper(__pyx_v_pp.distance, __pyx_v_pp.nu_m50, __pyx_v_pp.nu_t50, __pyx_v_pp.nu_r50);

    /* "pycraf/pathprof/cyprop.pyx":1754
 *     if pp.version == 16:
 *         L_d_50 = _delta_bullington_loss(pp, 0)
 *     elif pp.version == 14:             # <<<<<<<<<<<<<<
 *         L_d_50 = _diffraction_deygout_helper(
 *             pp.distance, pp.nu_m50, pp.nu_t50, pp.nu_r50
 */
    break;
    default: break;
  }

  /* "pycraf/pathprof/cyprop.pyx":1759
 *             )
 * 
 *     if pp.time_percent > pp.beta0:             # <<<<<<<<<<<<<<
 *         F_i = _I_helper(pp.time_percent / 100.) / _I_helper(pp.beta0 / 100.)
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_pp.time_percent > __pyx_v_pp.beta0) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1760
 * 
 *     if pp.time_percent > pp.beta0:
 *         F_i = _I_helper(pp.time_percent / 100.) / _I_helper(pp.beta0 / 100.)             # <<<<<<<<<<<<<<
 *     else:
 *         F_i = 1.
 */
    __pyx_v_F_i = (__pyx_f_6pycraf_8pathprof_6cyprop__I_helper((__pyx_v_pp.time_percent / 100.)) / __pyx_f_6pycraf_8pathprof_6cyprop__I_helper((__pyx_v_pp.beta0 / 100.)));

    /* "pycraf/pathprof/cyprop.pyx":1759
 *             )
 * 
 *     if pp.time_percent > pp.beta0:             # <<<<<<<<<<<<<<
 *         F_i = _I_helper(pp.time_percent / 100.) / _I_helper(pp.beta0 / 100.)
 *     else:
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":1762
 *         F_i = _I_helper(pp.time_percent / 100.) / _I_helper(pp.beta0 / 100.)
 *     else:
 *         F_i = 1.             # <<<<<<<<<<<<<<
 * 
 *     if fabs(pp.time_percent - 50.) < 1.e-3:
 */
  /*else*/ {
    __pyx_v_F_i = 1.;
  }
  __pyx_L3:;

  /* "pycraf/pathprof/cyprop.pyx":1764
 *         F_i = 1.
 * 
 *     if fabs(pp.time_percent - 50.) < 1.e-3:             # <<<<<<<<<<<<<<
 * 
 *         L_dp = L_d_50
 */
  __pyx_t_1 = ((fabs((__pyx_v_pp.time_percent - 50.)) < 1.e-3) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1766
 *     if fabs(pp.time_percent - 50.) < 1.e-3:
 * 
 *         L_dp = L_d_50             # <<<<<<<<<<<<<<
 * 
 *     else:
 */
    __pyx_v_L_dp = __pyx_v_L_d_50;

    /* "pycraf/pathprof/cyprop.pyx":1764
 *         F_i = 1.
 * 
 *     if fabs(pp.time_percent - 50.) < 1.e-3:             # <<<<<<<<<<<<<<
 * 
 *         L_dp = L_d_50
 */
    goto __pyx_L4;
  }

  /* "pycraf/pathprof/cyprop.pyx":1770
 *     else:
 * 
 *         if pp.version == 16:             # <<<<<<<<<<<<<<
 *             L_d_beta = _delta_bullington_loss(pp, 1)
 *         elif pp.version == 14:
 */
  /*else*/ {

    /* "pycraf/pathprof/cyprop.pyx":1772
 *         if pp.version == 16:
 *             L_d_beta = _delta_bullington_loss(pp, 1)
 *         elif pp.version == 14:             # <<<<<<<<<<<<<<
 *             L_d_beta = _diffraction_deygout_helper(
 *                 pp.distance, pp.nu_mbeta, pp.nu_tbeta, pp.nu_rbeta
 */
    switch (__pyx_v_pp.version) {
      case 16:

      /* "pycraf/pathprof/cyprop.pyx":1771
 * 
 *         if pp.version == 16:
 *             L_d_beta = _delta_bullington_loss(pp, 1)             # <<<<<<<<<<<<<<
 *         elif pp.version == 14:
 *             L_d_beta = _diffraction_deygout_helper(
 */
      __pyx_v_L_d_beta = __pyx_f_6pycraf_8pathprof_6cyprop__delta_bullington_loss(__pyx_v_pp, 1);

      /* "pycraf/pathprof/cyprop.pyx":1770
 *     else:
 * 
 *         if pp.version == 16:             # <<<<<<<<<<<<<<
 *             L_d_beta = _delta_bullington_loss(pp, 1)
 *         elif pp.version == 14:
 */
      break;
      case 14:

      /* "pycraf/pathprof/cyprop.pyx":1773
 *             L_d_beta = _delta_bullington_loss(pp, 1)
 *         elif pp.version == 14:
 *             L_d_beta = _diffraction_deygout_helper(             # <<<<<<<<<<<<<<
 *                 pp.distance, pp.nu_mbeta, pp.nu_tbeta, pp.nu_rbeta
 *                 )
 */
      __pyx_v_L_d_beta = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_deygout_helper(__pyx_v_pp.distance, __pyx_v_pp.nu_mbeta, __pyx_v_pp.nu_tbeta, __pyx_v_pp.nu_rbeta);

      /* "pycraf/pathprof/cyprop.pyx":1772
 *         if pp.version == 16:
 *             L_d_beta = _delta_bullington_loss(pp, 1)
 *         elif pp.version == 14:             # <<<<<<<<<<<<<<
 *             L_d_beta = _diffraction_deygout_helper(
 *                 pp.distance, pp.nu_mbeta, pp.nu_tbeta, pp.nu_rbeta
 */
      break;
      default: break;
    }

    /* "pycraf/pathprof/cyprop.pyx":1777
 *                 )
 * 
 *         L_dp = L_d_50 + F_i * (L_d_beta - L_d_50)             # <<<<<<<<<<<<<<
 * 
 *     L_bfsg, E_sp, E_sbeta = _free_space_loss_bfsg(pp)
 */
    __pyx_v_L_dp = (__pyx_v_L_d_50 + (__pyx_v_F_i * (__pyx_v_L_d_beta - __pyx_v_L_d_50)));
  }
  __pyx_L4:;

  /* "pycraf/pathprof/cyprop.pyx":1779
 *         L_dp = L_d_50 + F_i * (L_d_beta - L_d_50)
 * 
 *     L_bfsg, E_sp, E_sbeta = _free_space_loss_bfsg(pp)             # <<<<<<<<<<<<<<
 * 
 *     L_b0p = L_bfsg + E_sp
 */
  __pyx_t_2 = __pyx_f_6pycraf_8pathprof_6cyprop__free_space_loss_bfsg(__pyx_v_pp);
  __pyx_t_3 = __pyx_t_2.f0;
  __pyx_t_4 = __pyx_t_2.f1;
  __pyx_t_5 = __pyx_t_2.f2;
  __pyx_v_L_bfsg = __pyx_t_3;
  __pyx_v_E_sp = __pyx_t_4;
  __pyx_v_E_sbeta = __pyx_t_5;

  /* "pycraf/pathprof/cyprop.pyx":1781
 *     L_bfsg, E_sp, E_sbeta = _free_space_loss_bfsg(pp)
 * 
 *     L_b0p = L_bfsg + E_sp             # <<<<<<<<<<<<<<
 *     L_b0beta = L_bfsg + E_sbeta
 *     L_bd_50 = L_bfsg + L_d_50
 */
  __pyx_v_L_b0p = (__pyx_v_L_bfsg + __pyx_v_E_sp);

  /* "pycraf/pathprof/cyprop.pyx":1782
 * 
 *     L_b0p = L_bfsg + E_sp
 *     L_b0beta = L_bfsg + E_sbeta             # <<<<<<<<<<<<<<
 *     L_bd_50 = L_bfsg + L_d_50
 *     L_bd = L_b0p + L_dp
 */
  __pyx_v_L_b0beta = (__pyx_v_L_bfsg + __pyx_v_E_sbeta);

  /* "pycraf/pathprof/cyprop.pyx":1783
 *     L_b0p = L_bfsg + E_sp
 *     L_b0beta = L_bfsg + E_sbeta
 *     L_bd_50 = L_bfsg + L_d_50             # <<<<<<<<<<<<<<
 *     L_bd = L_b0p + L_dp
 * 
 */
  __pyx_v_L_bd_50 = (__pyx_v_L_bfsg + __pyx_v_L_d_50);

  /* "pycraf/pathprof/cyprop.pyx":1784
 *     L_b0beta = L_bfsg + E_sbeta
 *     L_bd_50 = L_bfsg + L_d_50
 *     L_bd = L_b0p + L_dp             # <<<<<<<<<<<<<<
 * 
 *     # also calculate notional minimum basic transmission loss associated with
 */
  __pyx_v_L_bd = (__pyx_v_L_b0p + __pyx_v_L_dp);

  /* "pycraf/pathprof/cyprop.pyx":1791
 *     # the F_i factor, so we do it here
 * 
 *     if pp.time_percent < pp.beta0:             # <<<<<<<<<<<<<<
 *         L_min_b0p = L_b0p + (1. - 0.01 * pp.omega) * L_dp
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_pp.time_percent < __pyx_v_pp.beta0) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1792
 * 
 *     if pp.time_percent < pp.beta0:
 *         L_min_b0p = L_b0p + (1. - 0.01 * pp.omega) * L_dp             # <<<<<<<<<<<<<<
 *     else:
 *         L_min_b0p = L_bd_50 + F_i * (
 */
    __pyx_v_L_min_b0p = (__pyx_v_L_b0p + ((1. - (0.01 * __pyx_v_pp.omega)) * __pyx_v_L_dp));

    /* "pycraf/pathprof/cyprop.pyx":1791
 *     # the F_i factor, so we do it here
 * 
 *     if pp.time_percent < pp.beta0:             # <<<<<<<<<<<<<<
 *         L_min_b0p = L_b0p + (1. - 0.01 * pp.omega) * L_dp
 *     else:
 */
    goto __pyx_L5;
  }

  /* "pycraf/pathprof/cyprop.pyx":1794
 *         L_min_b0p = L_b0p + (1. - 0.01 * pp.omega) * L_dp
 *     else:
 *         L_min_b0p = L_bd_50 + F_i * (             # <<<<<<<<<<<<<<
 *             L_b0beta + (1. - 0.01 * pp.omega) * L_dp - L_bd_50
 *             )
 */
  /*else*/ {

    /* "pycraf/pathprof/cyprop.pyx":1795
 *     else:
 *         L_min_b0p = L_bd_50 + F_i * (
 *             L_b0beta + (1. - 0.01 * pp.omega) * L_dp - L_bd_50             # <<<<<<<<<<<<<<
 *             )
 * 
 */
    __pyx_v_L_min_b0p = (__pyx_v_L_bd_50 + (__pyx_v_F_i * ((__pyx_v_L_b0beta + ((1. - (0.01 * __pyx_v_pp.omega)) * __pyx_v_L_dp)) - __pyx_v_L_bd_50)));
  }
  __pyx_L5:;

  /* "pycraf/pathprof/cyprop.pyx":1798
 *             )
 * 
 *     return L_d_50, L_dp, L_bd_50, L_bd, L_min_b0p             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_6.f0 = __pyx_v_L_d_50;
  __pyx_t_6.f1 = __pyx_v_L_dp;
  __pyx_t_6.f2 = __pyx_v_L_bd_50;
  __pyx_t_6.f3 = __pyx_v_L_bd;
  __pyx_t_6.f4 = __pyx_v_L_min_b0p;
  __pyx_r = __pyx_t_6;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1742
 * 
 * 
 * cdef (double, double, double, double, double) _diffraction_loss_complete(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         ) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1801
 * 
 * 
 * def diffraction_loss_complete_cython(             # <<<<<<<<<<<<<<
 *         _PathProp pathprop
 *         ):
 */

/* Python wrapper */
static PyObject *__pyx_pw_6pycraf_8pathprof_6cyprop_11diffraction_loss_complete_cython(PyObject *__pyx_self, PyObject *__pyx_v_pathprop); /*proto*/
static char __pyx_doc_6pycraf_8pathprof_6cyprop_10diffraction_loss_complete_cython[] = "diffraction_loss_complete_cython(_PathProp pathprop)\n\n    Calculate the Diffraction loss of a propagating radio\n    wave according to ITU-R P.452-16 Eq. (14-44).\n\n    Parameters\n    ----------\n    pathprop -\n\n    Returns\n    -------\n    (L_d_50, L_dp, L_bd_50, L_bd, L_min_b0p)\n        L_d_50 - Median diffraction loss [dB]\n        L_dp - Diffraction loss not exceeded for p% time, [dB]\n        L_bd_50 - Median basic transmission loss associated with\n            diffraction [dB]; L_bd_50 = L_bfsg + L_d50\n        L_bd - Basic transmission loss associated with diffraction not\n            exceeded for p% time [dB]; L_bd = L_b0p + L_dp\n        L_min_b0p - Notional minimum basic transmission loss associated with\n            LoS propagation and over-sea sub-path diffraction\n        Note: L_d_50 and L_dp are just intermediary values; the complete\n            diffraction loss is L_bd_50 or L_bd, respectively (taking into\n            account a free-space loss component for the diffraction path)\n\n    Notes\n    -----\n    - Path profile parameters (PathProps object) can be derived using the\n        [TODO]\n    ";
static PyMethodDef __pyx_mdef_6pycraf_8pathprof_6cyprop_11diffraction_loss_complete_cython = {"diffraction_loss_complete_cython", (PyCFunction)__pyx_pw_6pycraf_8pathprof_6cyprop_11diffraction_loss_complete_cython, METH_O, __pyx_doc_6pycraf_8pathprof_6cyprop_10diffraction_loss_complete_cython};
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static PyObject *__pyx_pf_6pycraf_8pathprof_6cyprop_10diffraction_loss_complete_cython(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_6pycraf_8pathprof_6cyprop__PathProp *__pyx_v_pathprop) {
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 *     '''
 * 
 *     return _diffraction_loss_complete(pathprop._pp)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __Pyx_XDECREF(__pyx_r);
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  /* "pycraf/pathprof/cyprop.pyx":1801
 * 
 * 
 * def diffraction_loss_complete_cython(             # <<<<<<<<<<<<<<
 *         _PathProp pathprop
 *         ):
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
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/* "pycraf/pathprof/cyprop.pyx":1836
 * 
 * 
 * cdef (double, double, double, double, double, double, double) _path_attenuation_complete(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         double G_t, double G_r,
 */

static __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_f_6pycraf_8pathprof_6cyprop__path_attenuation_complete(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct __pyx_v_pp, double __pyx_v_G_t, double __pyx_v_G_r) {
  double __pyx_v__THETA;
  double __pyx_v__XI;
  double __pyx_v__D_SW;
  double __pyx_v__KAPPA;
  double __pyx_v__ETA;
  double __pyx_v_F_j;
  double __pyx_v_F_k;
  double __pyx_v_L_bfsg;
  double __pyx_v_E_sp;
  CYTHON_UNUSED double __pyx_v_E_sbeta;
  double __pyx_v_L_b0p;
  double __pyx_v_L_bs;
  double __pyx_v_L_ba;
  CYTHON_UNUSED double __pyx_v_L_d_50;
  CYTHON_UNUSED double __pyx_v_L_dp;
  CYTHON_UNUSED double __pyx_v_L_bd_50;
  double __pyx_v_L_bd;
  double __pyx_v_L_min_b0p;
  double __pyx_v_L_min_bap;
  double __pyx_v_L_bam;
  double __pyx_v_L_b;
  double __pyx_v_L_b_corr;
  double __pyx_v_A_ht;
  double __pyx_v_A_hr;
  double __pyx_v_L_bda;
  double __pyx_v_L;
  __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_r;
  int __pyx_t_1;
  __pyx_ctuple_double__and_double__and_double __pyx_t_2;
  double __pyx_t_3;
  double __pyx_t_4;
  double __pyx_t_5;
  __pyx_ctuple_double__and_double__and_double__and_double__and_double __pyx_t_6;
  double __pyx_t_7;
  double __pyx_t_8;
  __pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc __pyx_t_9;

  /* "pycraf/pathprof/cyprop.pyx":1843
 *     cdef:
 * 
 *         double _THETA = 0.3  # mrad             # <<<<<<<<<<<<<<
 *         double _XI = 0.8
 * 
 */
  __pyx_v__THETA = 0.3;

  /* "pycraf/pathprof/cyprop.pyx":1844
 * 
 *         double _THETA = 0.3  # mrad
 *         double _XI = 0.8             # <<<<<<<<<<<<<<
 * 
 *         double _D_SW = 20  # km
 */
  __pyx_v__XI = 0.8;

  /* "pycraf/pathprof/cyprop.pyx":1846
 *         double _XI = 0.8
 * 
 *         double _D_SW = 20  # km             # <<<<<<<<<<<<<<
 *         double _KAPPA = 0.5
 * 
 */
  __pyx_v__D_SW = 20.0;

  /* "pycraf/pathprof/cyprop.pyx":1847
 * 
 *         double _D_SW = 20  # km
 *         double _KAPPA = 0.5             # <<<<<<<<<<<<<<
 * 
 *         double _ETA = 2.5
 */
  __pyx_v__KAPPA = 0.5;

  /* "pycraf/pathprof/cyprop.pyx":1849
 *         double _KAPPA = 0.5
 * 
 *         double _ETA = 2.5             # <<<<<<<<<<<<<<
 * 
 *         double F_j, F_k
 */
  __pyx_v__ETA = 2.5;

  /* "pycraf/pathprof/cyprop.pyx":1857
 *         double L_min_bap, L_bam, L_b, L_b_corr
 * 
 *         double A_ht = 0., A_hr = 0.             # <<<<<<<<<<<<<<
 * 
 *     if pp.zone_t != CLUTTER.UNKNOWN:
 */
  __pyx_v_A_ht = 0.;
  __pyx_v_A_hr = 0.;

  /* "pycraf/pathprof/cyprop.pyx":1859
 *         double A_ht = 0., A_hr = 0.
 * 
 *     if pp.zone_t != CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *         A_ht = _clutter_correction(
 *             pp.h_tg_in, pp.zone_t, pp.freq
 */
  __pyx_t_1 = ((__pyx_v_pp.zone_t != __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1860
 * 
 *     if pp.zone_t != CLUTTER.UNKNOWN:
 *         A_ht = _clutter_correction(             # <<<<<<<<<<<<<<
 *             pp.h_tg_in, pp.zone_t, pp.freq
 *             )
 */
    __pyx_v_A_ht = __pyx_f_6pycraf_8pathprof_6cyprop__clutter_correction(__pyx_v_pp.h_tg_in, __pyx_v_pp.zone_t, __pyx_v_pp.freq);

    /* "pycraf/pathprof/cyprop.pyx":1859
 *         double A_ht = 0., A_hr = 0.
 * 
 *     if pp.zone_t != CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *         A_ht = _clutter_correction(
 *             pp.h_tg_in, pp.zone_t, pp.freq
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1863
 *             pp.h_tg_in, pp.zone_t, pp.freq
 *             )
 *     if pp.zone_r != CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *         A_hr = _clutter_correction(
 *             pp.h_rg_in, pp.zone_r, pp.freq
 */
  __pyx_t_1 = ((__pyx_v_pp.zone_r != __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1864
 *             )
 *     if pp.zone_r != CLUTTER.UNKNOWN:
 *         A_hr = _clutter_correction(             # <<<<<<<<<<<<<<
 *             pp.h_rg_in, pp.zone_r, pp.freq
 *             )
 */
    __pyx_v_A_hr = __pyx_f_6pycraf_8pathprof_6cyprop__clutter_correction(__pyx_v_pp.h_rg_in, __pyx_v_pp.zone_r, __pyx_v_pp.freq);

    /* "pycraf/pathprof/cyprop.pyx":1863
 *             pp.h_tg_in, pp.zone_t, pp.freq
 *             )
 *     if pp.zone_r != CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *         A_hr = _clutter_correction(
 *             pp.h_rg_in, pp.zone_r, pp.freq
 */
  }

  /* "pycraf/pathprof/cyprop.pyx":1869
 * 
 *     # not sure, if the 50% S_tim and S_tr values are to be used here...
 *     if pp.version == 16:             # <<<<<<<<<<<<<<
 *         F_j = 1 - 0.5 * (1. + tanh(
 *             3. * _XI * (pp.S_tim_50 - pp.S_tr_50) / _THETA
 */
  switch (__pyx_v_pp.version) {
    case 16:

    /* "pycraf/pathprof/cyprop.pyx":1870
 *     # not sure, if the 50% S_tim and S_tr values are to be used here...
 *     if pp.version == 16:
 *         F_j = 1 - 0.5 * (1. + tanh(             # <<<<<<<<<<<<<<
 *             3. * _XI * (pp.S_tim_50 - pp.S_tr_50) / _THETA
 *             ))
 */
    __pyx_v_F_j = (1.0 - (0.5 * (1. + tanh((((3. * __pyx_v__XI) * (__pyx_v_pp.S_tim_50 - __pyx_v_pp.S_tr_50)) / __pyx_v__THETA)))));

    /* "pycraf/pathprof/cyprop.pyx":1869
 * 
 *     # not sure, if the 50% S_tim and S_tr values are to be used here...
 *     if pp.version == 16:             # <<<<<<<<<<<<<<
 *         F_j = 1 - 0.5 * (1. + tanh(
 *             3. * _XI * (pp.S_tim_50 - pp.S_tr_50) / _THETA
 */
    break;
    case 14:

    /* "pycraf/pathprof/cyprop.pyx":1874
 *             ))
 *     elif pp.version == 14:
 *         F_j = 1 - 0.5 * (1. + tanh(             # <<<<<<<<<<<<<<
 *             3. * _XI * (pp.theta - _THETA) / _THETA
 *             ))
 */
    __pyx_v_F_j = (1.0 - (0.5 * (1. + tanh((((3. * __pyx_v__XI) * (__pyx_v_pp.theta - __pyx_v__THETA)) / __pyx_v__THETA)))));

    /* "pycraf/pathprof/cyprop.pyx":1873
 *             3. * _XI * (pp.S_tim_50 - pp.S_tr_50) / _THETA
 *             ))
 *     elif pp.version == 14:             # <<<<<<<<<<<<<<
 *         F_j = 1 - 0.5 * (1. + tanh(
 *             3. * _XI * (pp.theta - _THETA) / _THETA
 */
    break;
    default: break;
  }

  /* "pycraf/pathprof/cyprop.pyx":1877
 *             3. * _XI * (pp.theta - _THETA) / _THETA
 *             ))
 *     F_k = 1 - 0.5 * (1. + tanh(             # <<<<<<<<<<<<<<
 *         3. * _KAPPA * (pp.distance - _D_SW) / _D_SW
 *         ))
 */
  __pyx_v_F_k = (1.0 - (0.5 * (1. + tanh((((3. * __pyx_v__KAPPA) * (__pyx_v_pp.distance - __pyx_v__D_SW)) / __pyx_v__D_SW)))));

  /* "pycraf/pathprof/cyprop.pyx":1884
 *     # in itself (is included in diffraction part)
 *     # we use it here for debugging/informational aspects
 *     L_bfsg, E_sp, E_sbeta = _free_space_loss_bfsg(pp)             # <<<<<<<<<<<<<<
 *     L_b0p = L_bfsg + E_sp
 * 
 */
  __pyx_t_2 = __pyx_f_6pycraf_8pathprof_6cyprop__free_space_loss_bfsg(__pyx_v_pp);
  __pyx_t_3 = __pyx_t_2.f0;
  __pyx_t_4 = __pyx_t_2.f1;
  __pyx_t_5 = __pyx_t_2.f2;
  __pyx_v_L_bfsg = __pyx_t_3;
  __pyx_v_E_sp = __pyx_t_4;
  __pyx_v_E_sbeta = __pyx_t_5;

  /* "pycraf/pathprof/cyprop.pyx":1885
 *     # we use it here for debugging/informational aspects
 *     L_bfsg, E_sp, E_sbeta = _free_space_loss_bfsg(pp)
 *     L_b0p = L_bfsg + E_sp             # <<<<<<<<<<<<<<
 * 
 *     L_bs = _tropospheric_scatter_loss_bs(pp, G_t, G_r)
 */
  __pyx_v_L_b0p = (__pyx_v_L_bfsg + __pyx_v_E_sp);

  /* "pycraf/pathprof/cyprop.pyx":1887
 *     L_b0p = L_bfsg + E_sp
 * 
 *     L_bs = _tropospheric_scatter_loss_bs(pp, G_t, G_r)             # <<<<<<<<<<<<<<
 *     L_ba = _ducting_loss_ba(pp)
 * 
 */
  __pyx_v_L_bs = __pyx_f_6pycraf_8pathprof_6cyprop__tropospheric_scatter_loss_bs(__pyx_v_pp, __pyx_v_G_t, __pyx_v_G_r);

  /* "pycraf/pathprof/cyprop.pyx":1888
 * 
 *     L_bs = _tropospheric_scatter_loss_bs(pp, G_t, G_r)
 *     L_ba = _ducting_loss_ba(pp)             # <<<<<<<<<<<<<<
 * 
 *     L_d_50, L_dp, L_bd_50, L_bd, L_min_b0p = _diffraction_loss_complete(pp)
 */
  __pyx_v_L_ba = __pyx_f_6pycraf_8pathprof_6cyprop__ducting_loss_ba(__pyx_v_pp);

  /* "pycraf/pathprof/cyprop.pyx":1890
 *     L_ba = _ducting_loss_ba(pp)
 * 
 *     L_d_50, L_dp, L_bd_50, L_bd, L_min_b0p = _diffraction_loss_complete(pp)             # <<<<<<<<<<<<<<
 * 
 *     L_min_bap = _ETA * log(exp(L_ba / _ETA) + exp(L_b0p / _ETA))
 */
  __pyx_t_6 = __pyx_f_6pycraf_8pathprof_6cyprop__diffraction_loss_complete(__pyx_v_pp);
  __pyx_t_5 = __pyx_t_6.f0;
  __pyx_t_4 = __pyx_t_6.f1;
  __pyx_t_3 = __pyx_t_6.f2;
  __pyx_t_7 = __pyx_t_6.f3;
  __pyx_t_8 = __pyx_t_6.f4;
  __pyx_v_L_d_50 = __pyx_t_5;
  __pyx_v_L_dp = __pyx_t_4;
  __pyx_v_L_bd_50 = __pyx_t_3;
  __pyx_v_L_bd = __pyx_t_7;
  __pyx_v_L_min_b0p = __pyx_t_8;

  /* "pycraf/pathprof/cyprop.pyx":1892
 *     L_d_50, L_dp, L_bd_50, L_bd, L_min_b0p = _diffraction_loss_complete(pp)
 * 
 *     L_min_bap = _ETA * log(exp(L_ba / _ETA) + exp(L_b0p / _ETA))             # <<<<<<<<<<<<<<
 * 
 *     if L_bd < L_min_bap:
 */
  __pyx_v_L_min_bap = (__pyx_v__ETA * log((exp((__pyx_v_L_ba / __pyx_v__ETA)) + exp((__pyx_v_L_b0p / __pyx_v__ETA)))));

  /* "pycraf/pathprof/cyprop.pyx":1894
 *     L_min_bap = _ETA * log(exp(L_ba / _ETA) + exp(L_b0p / _ETA))
 * 
 *     if L_bd < L_min_bap:             # <<<<<<<<<<<<<<
 *         L_bda = L_bd
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_L_bd < __pyx_v_L_min_bap) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":1895
 * 
 *     if L_bd < L_min_bap:
 *         L_bda = L_bd             # <<<<<<<<<<<<<<
 *     else:
 *         L_bda = L_min_bap + (L_bd - L_min_bap) * F_k
 */
    __pyx_v_L_bda = __pyx_v_L_bd;

    /* "pycraf/pathprof/cyprop.pyx":1894
 *     L_min_bap = _ETA * log(exp(L_ba / _ETA) + exp(L_b0p / _ETA))
 * 
 *     if L_bd < L_min_bap:             # <<<<<<<<<<<<<<
 *         L_bda = L_bd
 *     else:
 */
    goto __pyx_L5;
  }

  /* "pycraf/pathprof/cyprop.pyx":1897
 *         L_bda = L_bd
 *     else:
 *         L_bda = L_min_bap + (L_bd - L_min_bap) * F_k             # <<<<<<<<<<<<<<
 * 
 *     L_bam = L_bda + (L_min_b0p - L_bda) * F_j
 */
  /*else*/ {
    __pyx_v_L_bda = (__pyx_v_L_min_bap + ((__pyx_v_L_bd - __pyx_v_L_min_bap) * __pyx_v_F_k));
  }
  __pyx_L5:;

  /* "pycraf/pathprof/cyprop.pyx":1899
 *         L_bda = L_min_bap + (L_bd - L_min_bap) * F_k
 * 
 *     L_bam = L_bda + (L_min_b0p - L_bda) * F_j             # <<<<<<<<<<<<<<
 * 
 *     L_b = -5 * log10(
 */
  __pyx_v_L_bam = (__pyx_v_L_bda + ((__pyx_v_L_min_b0p - __pyx_v_L_bda) * __pyx_v_F_j));

  /* "pycraf/pathprof/cyprop.pyx":1901
 *     L_bam = L_bda + (L_min_b0p - L_bda) * F_j
 * 
 *     L_b = -5 * log10(             # <<<<<<<<<<<<<<
 *         cpower(10, -0.2 * L_bs) +
 *         cpower(10, -0.2 * L_bam)
 */
  __pyx_v_L_b = (-5.0 * log10((pow(10.0, (-0.2 * __pyx_v_L_bs)) + pow(10.0, (-0.2 * __pyx_v_L_bam)))));

  /* "pycraf/pathprof/cyprop.pyx":1905
 *         cpower(10, -0.2 * L_bam)
 *         )
 *     L_b_corr = L_b + A_ht + A_hr             # <<<<<<<<<<<<<<
 *     L = L_b_corr - G_t - G_r
 * 
 */
  __pyx_v_L_b_corr = ((__pyx_v_L_b + __pyx_v_A_ht) + __pyx_v_A_hr);

  /* "pycraf/pathprof/cyprop.pyx":1906
 *         )
 *     L_b_corr = L_b + A_ht + A_hr
 *     L = L_b_corr - G_t - G_r             # <<<<<<<<<<<<<<
 * 
 *     return L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L
 */
  __pyx_v_L = ((__pyx_v_L_b_corr - __pyx_v_G_t) - __pyx_v_G_r);

  /* "pycraf/pathprof/cyprop.pyx":1908
 *     L = L_b_corr - G_t - G_r
 * 
 *     return L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_9.f0 = __pyx_v_L_b0p;
  __pyx_t_9.f1 = __pyx_v_L_bd;
  __pyx_t_9.f2 = __pyx_v_L_bs;
  __pyx_t_9.f3 = __pyx_v_L_ba;
  __pyx_t_9.f4 = __pyx_v_L_b;
  __pyx_t_9.f5 = __pyx_v_L_b_corr;
  __pyx_t_9.f6 = __pyx_v_L;
  __pyx_r = __pyx_t_9;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":1836
 * 
 * 
 * cdef (double, double, double, double, double, double, double) _path_attenuation_complete(             # <<<<<<<<<<<<<<
 *         ppstruct pp,
 *         double G_t, double G_r,
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":1911
 * 
 * 
 * def path_attenuation_complete_cython(             # <<<<<<<<<<<<<<
 *         _PathProp pathprop, double G_t=0., double G_r=0.
 *         ):
 */

/* Python wrapper */
static PyObject *__pyx_pw_6pycraf_8pathprof_6cyprop_13path_attenuation_complete_cython(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_6pycraf_8pathprof_6cyprop_12path_attenuation_complete_cython[] = "path_attenuation_complete_cython(_PathProp pathprop, double G_t=0., double G_r=0.)\n\n    Calculate the total loss of a propagating radio\n    wave according to ITU-R P.452-16 Eq. (58-64).\n\n    Parameters\n    ----------\n    pathprop -\n    G_t, G_r - Antenna gain (transmitter, receiver) in the direction of the\n        horizon(!) along the great-circle interference path [dBi]\n\n    Returns\n    -------\n    (L_b0p, L_bd, L_bs, L_ba, L_b)\n        L_b0p - Free-space loss [dB]\n        L_bd - Basic transmission loss associated with diffraction not\n            exceeded for p% time [dB]; L_bd = L_b0p + L_dp\n        L_bs - Tropospheric scatter loss [dB]\n        L_ba - Ducting/layer reflection loss [dB]\n        L_b - Complete path propagation loss [dB]\n        L_b_corr - As L_b but with clutter correction [dB]\n        L - As L_b_corr but with gain correction [dB]\n\n    Notes\n    -----\n    - Path profile parameters (PathProps object) can be derived using the\n        [TODO]\n    ";
static PyMethodDef __pyx_mdef_6pycraf_8pathprof_6cyprop_13path_attenuation_complete_cython = {"path_attenuation_complete_cython", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6pycraf_8pathprof_6cyprop_13path_attenuation_complete_cython, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pycraf_8pathprof_6cyprop_12path_attenuation_complete_cython};
static PyObject *__pyx_pw_6pycraf_8pathprof_6cyprop_13path_attenuation_complete_cython(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
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      Py_ssize_t kw_args;
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      switch (pos_args) {
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
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        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
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        case  0: break;
        default: goto __pyx_L5_argtuple_error;
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/* "pycraf/pathprof/cyprop.pyx":2009
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static char __pyx_doc_6pycraf_8pathprof_6cyprop_16height_map_data_cython[] = "height_map_data_cython(double lon_t, double lat_t, double map_size_lon, double map_size_lat, double map_resolution=3. / 3600., int do_cos_delta=1, int zone_t=CLUTTER.UNKNOWN, int zone_r=CLUTTER.UNKNOWN, d_tm=None, d_lm=None, d_ct=None, d_cr=None, omega=None)\n\n    Calculate height profiles and auxillary maps needed for atten_map_fast.\n\n    This can be used to cache height-profile data. Since it is independent\n    of frequency, timepercent, Tx and Rx heights, etc., one can re-use\n    it to save computing time when doing batch jobs.\n\n    Parameters\n    ----------\n    lon_t, lat_t : double\n        Geographic longitude/latitude of transmitter [deg]\n    map_size_lon, map_size_lat : double\n        Map size in longitude/latitude[deg]\n    map_resolution : double, optional\n        Pixel resolution of map [deg] (default: 3 arcsec)\n    do_cos_delta : int, optional\n        If True, divide `map_size_lon` by `cos(lat_t)` to produce a more\n        square-like map. 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It is not\n          needed by `~pycraf.atten_map_fast_cython`!\n\n        - \"dist_map\" : `~numpy.ndarray` 2D (float; (mx, my))\n\n          Distances to map center for each pixel.\n\n        - \"d_ct_map\", \"d_cr_map\" : `~numpy.ndarray` 2D (float; (mx, my))\n\n          The `d_ct` and `d_cr` values for each pixel in the map.\n\n        - \"d_lm_map\", \"d_tm_map\" : `~numpy.ndarray` 2D (float; (mx, my))\n\n          The `d_lm` and `d_tm` values for each pixel in the map.\n\n        - \"omega_map\" : `~numpy.ndarray` 2D (float; (mx, my))\n\n          The `omega` values for each pixel in the map.\n\n        - \"zone_t_map\", \"zone_r_map\" : `~numpy.ndarray` 2D (CLUTTER enum; (mx, my))\n\n          The clutter zone types `zone_t` and `zone_r` for each pixel in the\n          map.\n\n        - \"bearing_map\", \"back_bearing_map\" : `~numpy.ndarray` 2D (float; (mx, my))\n\n          The `bearing` and `backbearing` values for each pixel in the map.\n\n          This is returned for information, only. It is not\n          needed by `~pycraf.atten_map_fast_cython`!\n\n        - \"N0_map\", \"delta_N_map\", \"beta0_map\" : `~numpy.ndarray` 2D (float; (mx, my))""\n\n          The `N0`, `delta_N`, and `beta0` values for each pixel in the map.\n\n        - \"path_idx_map\" : `~numpy.ndarray` 2D (int; (mx, my))\n\n          Map of path IDs for each pixel. With this index, one can query\n          the associated height profile from `height_profs`.\n\n        - \"pix_dist_map\" : `~numpy.ndarray` 2D (float; (mx, my))\n\n          Angular distance of the closest path to each of the map pixels.\n\n        - \"dist_end_idx_map\" : `~numpy.ndarray` 2D (int; (mx, my))\n\n          Index of the last element in the dist/height profiles to be used\n          when querying the profiles from `dist_prof` and\n          `height_profs`.\n\n        - \"dist_prof\" : `~numpy.ndarray` 1D (float, (mh, ))\n\n          Distance values for each of the paths stored in `height_profs`.\n\n        - \"height_profs\" : `~numpy.ndarray` 2D (float, (me, mh))\n\n          Height profiles to each of the pixels on the map edge, zero padded.\n\n        - \"zheight_prof\" : `~numpy.ndarray` 1D (float, (mh, ))\n\n          Zero-valued array of the same length as `height_profs` for\n          convenience.\n\n    Notes\n    -----\n    - Path attenuation is completely symmetric, i.e., it doesn't matter if\n      the transmitter or the receiver is situated in the map center.\n    ";
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 * 
 *     _heights = heights
 *     distances *= 1e-3  # convert to km             # <<<<<<<<<<<<<<
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 * 
 */
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 *     distances *= 1e-3  # convert to km
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 * 
 *     refx, refy = _xcoords[0], _ycoords[0]             # <<<<<<<<<<<<<<
 * 
 *     with nogil:
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 *     refx, refy = _xcoords[0], _ycoords[0]
 * 
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 * 
 *     with nogil:
 *         for bidx in range(_start_bearings.shape[0]):             # <<<<<<<<<<<<<<
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 *             for didx in range(_distances.shape[0]):
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 *         for bidx in range(_start_bearings.shape[0]):
 * 
 *             for didx in range(_distances.shape[0]):             # <<<<<<<<<<<<<<
 * 
 *                 lon_r, lat_r = _lons[bidx, didx], _lats[bidx, didx]
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 *             for didx in range(_distances.shape[0]):
 * 
 *                 lon_r, lat_r = _lons[bidx, didx], _lats[bidx, didx]             # <<<<<<<<<<<<<<
 * 
 *                 # need to find closest pixel index in map
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 * 
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 *                 yidx = int((lat_r - refy) / map_resolution + 0.5)
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 */
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            /* "pycraf/pathprof/cyprop.pyx":2340
 *                 # need to find closest pixel index in map
 *                 xidx = int((lon_r - refx) / cosdelta / map_resolution + 0.5)
 *                 yidx = int((lat_r - refy) / map_resolution + 0.5)             # <<<<<<<<<<<<<<
 * 
 *                 if xidx < 0:
 */
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 *                 yidx = int((lat_r - refy) / map_resolution + 0.5)
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 *                 if xidx >= _xcoords.shape[0]:
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 * 
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 */
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 *                 yidx = int((lat_r - refy) / map_resolution + 0.5)
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 *                     xidx = 0
 *                 if xidx >= _xcoords.shape[0]:
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 *                     xidx = _xcoords.shape[0] - 1
 *                 if yidx < 0:
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 *                     yidx = 0
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 *                     yidx = _ycoords.shape[0] - 1
 */
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 *                 if xidx >= _xcoords.shape[0]:
 *                     xidx = _xcoords.shape[0] - 1
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 *                     yidx = 0
 *                 if yidx >= _ycoords.shape[0]:
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 *                     yidx = _ycoords.shape[0] - 1
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 */
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 *                     yidx = 0
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 * 
 *                 pdist = true_angular_distance(
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 *                 if yidx < 0:
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 *                     yidx = _ycoords.shape[0] - 1
 * 
 */
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 * 
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 *                     )
 * 
 */
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 *                     yidx = _ycoords.shape[0] - 1
 * 
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 *                     _xcoords[xidx], _ycoords[yidx], lon_r, lat_r
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 * 
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 *                     _path_idx_map[yidx, xidx] = bidx
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static char __pyx_doc_6pycraf_8pathprof_6cyprop_18atten_map_fast_cython[] = "atten_map_fast_cython(double freq, double temperature, double pressure, double h_tg, double h_rg, double time_percent, hprof_data, int polarization=0, int version=16)\n\n    Calculate attenuation maps using a fast method.\n\n    Parameters\n    ----------\n    freq : double\n        Frequency of radiation [GHz]\n    temperature : double\n        Temperature (K)\n    pressure : double\n        Pressure (hPa)\n    h_tg, h_rg : double\n        Transmitter/receiver heights over ground [m]\n    timepercent : double\n        Time percentage [%] (maximal 50%)\n    hprof_data : dict, dict-like\n        Dictionary with height profiles and auxillary maps as\n        calculated with `~pycraf.pathprof.height_map_data`.\n    polarization : int, optional\n        Polarization (default: 0)\n        Allowed values are: 0 - horizontal, 1 - vertical\n    version : int, optional\n        ITU-R Rec. P.452 version. Allowed values are: 14, 16\n\n    Returns\n    -------\n    float_results : 3D `~numpy.ndarray`\n\n        Results of the calculation. The first and second dimension\n        refer to the maps, while the third axis has the following\n        meaning:\n\n        0-5: Attenuation maps (i.e., the output of\n            path_attenuation_complete without gain-corrected values)\n        6-7: Path elevation angles\n        8-9: Path horizon distances (for LoS paths, this is distance\n            to Bullington point)\n\n        0) L_b0p - Free-space loss including focussing effects\n           (for p% of time) [dB]\n        1) L_bd - Basic transmission loss associated with diffraction\n           not exceeded for p% time [dB]; L_bd = L_b0p + L_dp\n        2) L_bs - Tropospheric scatter loss [dB]\n        3) L_ba - Ducting/layer reflection loss [dB]\n        4) L_b - Complete path propagation loss [dB]\n        5) L_b_corr - As L_b but with clutter correction [dB]\n        6) eps_pt - Elevation angle of paths w.r.t. Tx [deg]\n        7) eps_pr - Elevation angle of paths w.r.t. Rx [deg""]\n        8) d_lt - Distance to horizon w.r.t. Tx [km]\n        9) d_lr - Distance to horizon w.r.t. Rx [km]\n\n    int_results : 3D `~numpy.ndarray`\n\n        As `float_results` but for integer-typed values:\n\n        0) path_type - Regular path type (0 - LoS, 1 - Trans-horizon)\n\n    Notes\n    -----\n    - The diffraction-loss algorithm was changed between ITU-R P.452\n      version 14 and 15. The former used a Deygout method, the new one\n      is based on a Bullington calculation with correction terms.\n    ";
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 *         pp.h_rg_in = h_rg
 * 
 *         pp.hprof_step = hprof_step             # <<<<<<<<<<<<<<
 *         pp.time_percent = time_percent
 *         # TODO: add functionality to produce the following
 */
                __pyx_v_pp->hprof_step = __pyx_v_hprof_step;

                /* "pycraf/pathprof/cyprop.pyx":2598
 * 
 *         pp.hprof_step = hprof_step
 *         pp.time_percent = time_percent             # <<<<<<<<<<<<<<
 *         # TODO: add functionality to produce the following
 *         # five parameters programmatically (using some kind of Geo-Data)
 */
                __pyx_v_pp->time_percent = __pyx_v_time_percent;

                /* "pycraf/pathprof/cyprop.pyx":2601
 *         # TODO: add functionality to produce the following
 *         # five parameters programmatically (using some kind of Geo-Data)
 *         pp.polarization = polarization             # <<<<<<<<<<<<<<
 * 
 *         for yi in prange(ylen, schedule='guided', chunksize=10):
 */
                __pyx_v_pp->polarization = __pyx_v_polarization;

                /* "pycraf/pathprof/cyprop.pyx":2603
 *         pp.polarization = polarization
 * 
 *         for yi in prange(ylen, schedule='guided', chunksize=10):             # <<<<<<<<<<<<<<
 * 
 *             for xi in range(xlen):
 */
                __pyx_t_15 = __pyx_v_ylen;
                if ((1 == 0)) abort();
                {
                    double __pyx_parallel_temp0 = ((double)__PYX_NAN());
                    double __pyx_parallel_temp1 = ((double)__PYX_NAN());
                    double __pyx_parallel_temp2 = ((double)__PYX_NAN());
                    double __pyx_parallel_temp3 = ((double)__PYX_NAN());
                    double __pyx_parallel_temp4 = ((double)__PYX_NAN());
                    double __pyx_parallel_temp5 = ((double)__PYX_NAN());
                    double __pyx_parallel_temp6 = ((double)__PYX_NAN());
                    int __pyx_parallel_temp7 = ((int)0xbad0bad0);
                    int __pyx_parallel_temp8 = ((int)0xbad0bad0);
                    int __pyx_parallel_temp9 = ((int)0xbad0bad0);
                    int __pyx_parallel_temp10 = ((int)0xbad0bad0);
                    const char *__pyx_parallel_filename = NULL; int __pyx_parallel_lineno = 0, __pyx_parallel_clineno = 0;
                    PyObject *__pyx_parallel_exc_type = NULL, *__pyx_parallel_exc_value = NULL, *__pyx_parallel_exc_tb = NULL;
                    int __pyx_parallel_why;
                    __pyx_parallel_why = 0;
                    __pyx_t_18 = 10;
                    __pyx_t_17 = (__pyx_t_15 - 0 + 1 - 1/abs(1)) / 1;
                    if (__pyx_t_17 > 0)
                    {
                        #ifdef _OPENMP
                        #pragma omp for lastprivate(__pyx_v_L_b) lastprivate(__pyx_v_L_b0p) lastprivate(__pyx_v_L_b_corr) lastprivate(__pyx_v_L_ba) lastprivate(__pyx_v_L_bd) lastprivate(__pyx_v_L_bs) lastprivate(__pyx_v_L_dummy) lastprivate(__pyx_v_didx) lastprivate(__pyx_v_eidx) lastprivate(__pyx_v_xi) firstprivate(__pyx_v_yi) lastprivate(__pyx_v_yi) schedule(guided, __pyx_t_18)
                        #endif /* _OPENMP */
                        for (__pyx_t_16 = 0; __pyx_t_16 < __pyx_t_17; __pyx_t_16++){
                            if (__pyx_parallel_why < 2)
                            {
                                __pyx_v_yi = (int)(0 + 1 * __pyx_t_16);
                                /* Initialize private variables to invalid values */
                                __pyx_v_L_b = ((double)__PYX_NAN());
                                __pyx_v_L_b0p = ((double)__PYX_NAN());
                                __pyx_v_L_b_corr = ((double)__PYX_NAN());
                                __pyx_v_L_ba = ((double)__PYX_NAN());
                                __pyx_v_L_bd = ((double)__PYX_NAN());
                                __pyx_v_L_bs = ((double)__PYX_NAN());
                                __pyx_v_L_dummy = ((double)__PYX_NAN());
                                __pyx_v_didx = ((int)0xbad0bad0);
                                __pyx_v_eidx = ((int)0xbad0bad0);
                                __pyx_v_xi = ((int)0xbad0bad0);

                                /* "pycraf/pathprof/cyprop.pyx":2605
 *         for yi in prange(ylen, schedule='guided', chunksize=10):
 * 
 *             for xi in range(xlen):             # <<<<<<<<<<<<<<
 * 
 *                 eidx = path_idx_map_v[yi, xi]
 */
                                __pyx_t_19 = __pyx_v_xlen;
                                __pyx_t_20 = __pyx_t_19;
                                for (__pyx_t_21 = 0; __pyx_t_21 < __pyx_t_20; __pyx_t_21+=1) {
                                  __pyx_v_xi = __pyx_t_21;

                                  /* "pycraf/pathprof/cyprop.pyx":2607
 *             for xi in range(xlen):
 * 
 *                 eidx = path_idx_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 didx = dist_end_idx_map_v[yi, xi]
 * 
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_eidx = (*((int *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_path_idx_map_v.data + __pyx_t_22 * __pyx_v_path_idx_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_path_idx_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2608
 * 
 *                 eidx = path_idx_map_v[yi, xi]
 *                 didx = dist_end_idx_map_v[yi, xi]             # <<<<<<<<<<<<<<
 * 
 *                 if didx < 4:
 */
                                  __pyx_t_23 = __pyx_v_yi;
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_didx = (*((int *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_dist_end_idx_map_v.data + __pyx_t_23 * __pyx_v_dist_end_idx_map_v.strides[0]) ) + __pyx_t_22 * __pyx_v_dist_end_idx_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2610
 *                 didx = dist_end_idx_map_v[yi, xi]
 * 
 *                 if didx < 4:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
                                  __pyx_t_1 = ((__pyx_v_didx < 4) != 0);
                                  if (__pyx_t_1) {

                                    /* "pycraf/pathprof/cyprop.pyx":2611
 * 
 *                 if didx < 4:
 *                     continue             # <<<<<<<<<<<<<<
 * 
 *                 pp.lon_r = xcoords_v[xi]
 */
                                    goto __pyx_L15_continue;

                                    /* "pycraf/pathprof/cyprop.pyx":2610
 *                 didx = dist_end_idx_map_v[yi, xi]
 * 
 *                 if didx < 4:             # <<<<<<<<<<<<<<
 *                     continue
 * 
 */
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":2613
 *                     continue
 * 
 *                 pp.lon_r = xcoords_v[xi]             # <<<<<<<<<<<<<<
 *                 pp.lat_r = ycoords_v[yi]
 *                 pp.zone_t = zone_t_map_v[yi, xi]
 */
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_pp->lon_r = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_xcoords_v.data) + __pyx_t_22)) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2614
 * 
 *                 pp.lon_r = xcoords_v[xi]
 *                 pp.lat_r = ycoords_v[yi]             # <<<<<<<<<<<<<<
 *                 pp.zone_t = zone_t_map_v[yi, xi]
 *                 pp.zone_r = zone_r_map_v[yi, xi]
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_v_pp->lat_r = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_ycoords_v.data) + __pyx_t_22)) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2615
 *                 pp.lon_r = xcoords_v[xi]
 *                 pp.lat_r = ycoords_v[yi]
 *                 pp.zone_t = zone_t_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.zone_r = zone_r_map_v[yi, xi]
 * 
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_pp->zone_t = (*((int *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_zone_t_map_v.data + __pyx_t_22 * __pyx_v_zone_t_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_zone_t_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2616
 *                 pp.lat_r = ycoords_v[yi]
 *                 pp.zone_t = zone_t_map_v[yi, xi]
 *                 pp.zone_r = zone_r_map_v[yi, xi]             # <<<<<<<<<<<<<<
 * 
 *                 if pp.zone_t == CLUTTER.UNKNOWN:
 */
                                  __pyx_t_23 = __pyx_v_yi;
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_pp->zone_r = (*((int *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_zone_r_map_v.data + __pyx_t_23 * __pyx_v_zone_r_map_v.strides[0]) ) + __pyx_t_22 * __pyx_v_zone_r_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2618
 *                 pp.zone_r = zone_r_map_v[yi, xi]
 * 
 *                 if pp.zone_t == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                     pp.h_tg = h_tg
 *                 else:
 */
                                  __pyx_t_1 = ((__pyx_v_pp->zone_t == __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
                                  if (__pyx_t_1) {

                                    /* "pycraf/pathprof/cyprop.pyx":2619
 * 
 *                 if pp.zone_t == CLUTTER.UNKNOWN:
 *                     pp.h_tg = h_tg             # <<<<<<<<<<<<<<
 *                 else:
 *                     pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)
 */
                                    __pyx_v_pp->h_tg = __pyx_v_h_tg;

                                    /* "pycraf/pathprof/cyprop.pyx":2618
 *                 pp.zone_r = zone_r_map_v[yi, xi]
 * 
 *                 if pp.zone_t == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                     pp.h_tg = h_tg
 *                 else:
 */
                                    goto __pyx_L18;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":2621
 *                     pp.h_tg = h_tg
 *                 else:
 *                     pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)             # <<<<<<<<<<<<<<
 * 
 *                 if pp.zone_r == CLUTTER.UNKNOWN:
 */
                                  /*else*/ {
                                    __pyx_t_22 = __pyx_v_pp->zone_t;
                                    __pyx_t_23 = 0;
                                    __pyx_v_pp->h_tg = __pyx_f_6pycraf_8pathprof_6cyprop_f_max((*((double *) ( /* dim=1 */ ((char *) (((double *) ( /* dim=0 */ (__pyx_v_clutter_data_v.data + __pyx_t_22 * __pyx_v_clutter_data_v.strides[0]) )) + __pyx_t_23)) ))), __pyx_v_h_tg);
                                  }
                                  __pyx_L18:;

                                  /* "pycraf/pathprof/cyprop.pyx":2623
 *                     pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)
 * 
 *                 if pp.zone_r == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                     pp.h_rg = h_rg
 *                 else:
 */
                                  __pyx_t_1 = ((__pyx_v_pp->zone_r == __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
                                  if (__pyx_t_1) {

                                    /* "pycraf/pathprof/cyprop.pyx":2624
 * 
 *                 if pp.zone_r == CLUTTER.UNKNOWN:
 *                     pp.h_rg = h_rg             # <<<<<<<<<<<<<<
 *                 else:
 *                     pp.h_rg = f_max(clutter_data_v[pp.zone_r, 0], h_rg)
 */
                                    __pyx_v_pp->h_rg = __pyx_v_h_rg;

                                    /* "pycraf/pathprof/cyprop.pyx":2623
 *                     pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)
 * 
 *                 if pp.zone_r == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                     pp.h_rg = h_rg
 *                 else:
 */
                                    goto __pyx_L19;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":2626
 *                     pp.h_rg = h_rg
 *                 else:
 *                     pp.h_rg = f_max(clutter_data_v[pp.zone_r, 0], h_rg)             # <<<<<<<<<<<<<<
 * 
 *                 pp.d_tm = d_tm_map_v[yi, xi]
 */
                                  /*else*/ {
                                    __pyx_t_23 = __pyx_v_pp->zone_r;
                                    __pyx_t_22 = 0;
                                    __pyx_v_pp->h_rg = __pyx_f_6pycraf_8pathprof_6cyprop_f_max((*((double *) ( /* dim=1 */ ((char *) (((double *) ( /* dim=0 */ (__pyx_v_clutter_data_v.data + __pyx_t_23 * __pyx_v_clutter_data_v.strides[0]) )) + __pyx_t_22)) ))), __pyx_v_h_rg);
                                  }
                                  __pyx_L19:;

                                  /* "pycraf/pathprof/cyprop.pyx":2628
 *                     pp.h_rg = f_max(clutter_data_v[pp.zone_r, 0], h_rg)
 * 
 *                 pp.d_tm = d_tm_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.d_lm = d_lm_map_v[yi, xi]
 *                 pp.d_ct = d_ct_map_v[yi, xi]
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_pp->d_tm = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d_tm_map_v.data + __pyx_t_22 * __pyx_v_d_tm_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_d_tm_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2629
 * 
 *                 pp.d_tm = d_tm_map_v[yi, xi]
 *                 pp.d_lm = d_lm_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.d_ct = d_ct_map_v[yi, xi]
 *                 pp.d_cr = d_cr_map_v[yi, xi]
 */
                                  __pyx_t_23 = __pyx_v_yi;
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_pp->d_lm = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d_lm_map_v.data + __pyx_t_23 * __pyx_v_d_lm_map_v.strides[0]) ) + __pyx_t_22 * __pyx_v_d_lm_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2630
 *                 pp.d_tm = d_tm_map_v[yi, xi]
 *                 pp.d_lm = d_lm_map_v[yi, xi]
 *                 pp.d_ct = d_ct_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.d_cr = d_cr_map_v[yi, xi]
 *                 pp.omega = omega_map_v[yi, xi]
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_pp->d_ct = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d_ct_map_v.data + __pyx_t_22 * __pyx_v_d_ct_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_d_ct_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2631
 *                 pp.d_lm = d_lm_map_v[yi, xi]
 *                 pp.d_ct = d_ct_map_v[yi, xi]
 *                 pp.d_cr = d_cr_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.omega = omega_map_v[yi, xi]
 * 
 */
                                  __pyx_t_23 = __pyx_v_yi;
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_pp->d_cr = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_d_cr_map_v.data + __pyx_t_23 * __pyx_v_d_cr_map_v.strides[0]) ) + __pyx_t_22 * __pyx_v_d_cr_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2632
 *                 pp.d_ct = d_ct_map_v[yi, xi]
 *                 pp.d_cr = d_cr_map_v[yi, xi]
 *                 pp.omega = omega_map_v[yi, xi]             # <<<<<<<<<<<<<<
 * 
 *                 pp.distance = dist_map_v[yi, xi]
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_pp->omega = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_omega_map_v.data + __pyx_t_22 * __pyx_v_omega_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_omega_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2634
 *                 pp.omega = omega_map_v[yi, xi]
 * 
 *                 pp.distance = dist_map_v[yi, xi]             # <<<<<<<<<<<<<<
 * 
 *                 pp.delta_N = delta_N_map_v[yi, xi]
 */
                                  __pyx_t_23 = __pyx_v_yi;
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_pp->distance = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_dist_map_v.data + __pyx_t_23 * __pyx_v_dist_map_v.strides[0]) ) + __pyx_t_22 * __pyx_v_dist_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2636
 *                 pp.distance = dist_map_v[yi, xi]
 * 
 *                 pp.delta_N = delta_N_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.beta0 = beta0_map_v[yi, xi]
 *                 pp.N0 = N0_map_v[yi, xi]
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_pp->delta_N = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_delta_N_map_v.data + __pyx_t_22 * __pyx_v_delta_N_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_delta_N_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2637
 * 
 *                 pp.delta_N = delta_N_map_v[yi, xi]
 *                 pp.beta0 = beta0_map_v[yi, xi]             # <<<<<<<<<<<<<<
 *                 pp.N0 = N0_map_v[yi, xi]
 * 
 */
                                  __pyx_t_23 = __pyx_v_yi;
                                  __pyx_t_22 = __pyx_v_xi;
                                  __pyx_v_pp->beta0 = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_beta0_map_v.data + __pyx_t_23 * __pyx_v_beta0_map_v.strides[0]) ) + __pyx_t_22 * __pyx_v_beta0_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2638
 *                 pp.delta_N = delta_N_map_v[yi, xi]
 *                 pp.beta0 = beta0_map_v[yi, xi]
 *                 pp.N0 = N0_map_v[yi, xi]             # <<<<<<<<<<<<<<
 * 
 *                 # assigning not possible in prange, but can use directly below
 */
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  __pyx_v_pp->N0 = (*((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_N0_map_v.data + __pyx_t_22 * __pyx_v_N0_map_v.strides[0]) ) + __pyx_t_23 * __pyx_v_N0_map_v.strides[1]) )));

                                  /* "pycraf/pathprof/cyprop.pyx":2650
 *                     # heights_v,
 *                     # zheights_v,
 *                     dist_prof_v[0:didx + 1],             # <<<<<<<<<<<<<<
 *                     height_profs_v[eidx, 0:didx + 1],
 *                     zheight_prof_v[0:didx + 1],
 */
                                  __pyx_t_11.data = __pyx_v_dist_prof_v.data;
                                  __pyx_t_11.memview = __pyx_v_dist_prof_v.memview;
                                  __PYX_INC_MEMVIEW(&__pyx_t_11, 0);
                                  __pyx_t_24 = -1;
                                  if (unlikely(__pyx_memoryview_slice_memviewslice(
    &__pyx_t_11,
    __pyx_v_dist_prof_v.shape[0], __pyx_v_dist_prof_v.strides[0], __pyx_v_dist_prof_v.suboffsets[0],
    0,
    0,
    &__pyx_t_24,
    0,
    (__pyx_v_didx + 1),
    0,
    1,
    1,
    0,
    1) < 0))
{
    __PYX_ERR(0, 2650, __pyx_L13_error)
}

__pyx_t_25.data = __pyx_v_height_profs_v.data;

                                  /* "pycraf/pathprof/cyprop.pyx":2651
 *                     # zheights_v,
 *                     dist_prof_v[0:didx + 1],
 *                     height_profs_v[eidx, 0:didx + 1],             # <<<<<<<<<<<<<<
 *                     zheight_prof_v[0:didx + 1],
 *                     )
 */
                                  __pyx_t_25.memview = __pyx_v_height_profs_v.memview;
                                  __PYX_INC_MEMVIEW(&__pyx_t_25, 0);
                                  {
    Py_ssize_t __pyx_tmp_idx = __pyx_v_eidx;
    Py_ssize_t __pyx_tmp_stride = __pyx_v_height_profs_v.strides[0];
        __pyx_t_25.data += __pyx_tmp_idx * __pyx_tmp_stride;
}

__pyx_t_24 = -1;
                                  if (unlikely(__pyx_memoryview_slice_memviewslice(
    &__pyx_t_25,
    __pyx_v_height_profs_v.shape[1], __pyx_v_height_profs_v.strides[1], __pyx_v_height_profs_v.suboffsets[1],
    1,
    0,
    &__pyx_t_24,
    0,
    (__pyx_v_didx + 1),
    0,
    1,
    1,
    0,
    1) < 0))
{
    __PYX_ERR(0, 2651, __pyx_L13_error)
}

__pyx_t_26.data = __pyx_v_zheight_prof_v.data;

                                  /* "pycraf/pathprof/cyprop.pyx":2652
 *                     dist_prof_v[0:didx + 1],
 *                     height_profs_v[eidx, 0:didx + 1],
 *                     zheight_prof_v[0:didx + 1],             # <<<<<<<<<<<<<<
 *                     )
 * 
 */
                                  __pyx_t_26.memview = __pyx_v_zheight_prof_v.memview;
                                  __PYX_INC_MEMVIEW(&__pyx_t_26, 0);
                                  __pyx_t_24 = -1;
                                  if (unlikely(__pyx_memoryview_slice_memviewslice(
    &__pyx_t_26,
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    1,
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{
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}

__pyx_f_6pycraf_8pathprof_6cyprop__process_path(__pyx_v_pp, __pyx_t_11, __pyx_t_25, __pyx_t_26);

                                  /* "pycraf/pathprof/cyprop.pyx":2645
 *                 # zheights_v = zheight_prof_v[0:didx + 1]
 * 
 *                 _process_path(             # <<<<<<<<<<<<<<
 *                     pp,
 *                     # dists_v,
 */
                                  __PYX_XDEC_MEMVIEW(&__pyx_t_11, 0);
                                  __pyx_t_11.memview = NULL;
                                  __pyx_t_11.data = NULL;
                                  __PYX_XDEC_MEMVIEW(&__pyx_t_25, 0);
                                  __pyx_t_25.memview = NULL;
                                  __pyx_t_25.data = NULL;
                                  __PYX_XDEC_MEMVIEW(&__pyx_t_26, 0);
                                  __pyx_t_26.memview = NULL;
                                  __pyx_t_26.data = NULL;

                                  /* "pycraf/pathprof/cyprop.pyx":2657
 *                 (
 *                     L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L_dummy
 *                     ) = _path_attenuation_complete(pp[0], G_t, G_r)             # <<<<<<<<<<<<<<
 * 
 *                 float_res_v[0, yi, xi] = L_b0p
 */
                                  __pyx_t_27 = __pyx_f_6pycraf_8pathprof_6cyprop__path_attenuation_complete((__pyx_v_pp[0]), __pyx_v_G_t, __pyx_v_G_r);
                                  __pyx_t_12 = __pyx_t_27.f0;
                                  __pyx_t_28 = __pyx_t_27.f1;
                                  __pyx_t_29 = __pyx_t_27.f2;
                                  __pyx_t_30 = __pyx_t_27.f3;
                                  __pyx_t_31 = __pyx_t_27.f4;
                                  __pyx_t_32 = __pyx_t_27.f5;
                                  __pyx_t_33 = __pyx_t_27.f6;
                                  __pyx_v_L_b0p = __pyx_t_12;
                                  __pyx_v_L_bd = __pyx_t_28;
                                  __pyx_v_L_bs = __pyx_t_29;
                                  __pyx_v_L_ba = __pyx_t_30;
                                  __pyx_v_L_b = __pyx_t_31;
                                  __pyx_v_L_b_corr = __pyx_t_32;
                                  __pyx_v_L_dummy = __pyx_t_33;

                                  /* "pycraf/pathprof/cyprop.pyx":2659
 *                     ) = _path_attenuation_complete(pp[0], G_t, G_r)
 * 
 *                 float_res_v[0, yi, xi] = L_b0p             # <<<<<<<<<<<<<<
 *                 float_res_v[1, yi, xi] = L_bd
 *                 float_res_v[2, yi, xi] = L_bs
 */
                                  __pyx_t_23 = 0;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_34 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_34 * __pyx_v_float_res_v.strides[2]) )) = __pyx_v_L_b0p;

                                  /* "pycraf/pathprof/cyprop.pyx":2660
 * 
 *                 float_res_v[0, yi, xi] = L_b0p
 *                 float_res_v[1, yi, xi] = L_bd             # <<<<<<<<<<<<<<
 *                 float_res_v[2, yi, xi] = L_bs
 *                 float_res_v[3, yi, xi] = L_ba
 */
                                  __pyx_t_34 = 1;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_34 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[2]) )) = __pyx_v_L_bd;

                                  /* "pycraf/pathprof/cyprop.pyx":2661
 *                 float_res_v[0, yi, xi] = L_b0p
 *                 float_res_v[1, yi, xi] = L_bd
 *                 float_res_v[2, yi, xi] = L_bs             # <<<<<<<<<<<<<<
 *                 float_res_v[3, yi, xi] = L_ba
 *                 float_res_v[4, yi, xi] = L_b
 */
                                  __pyx_t_23 = 2;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_34 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_34 * __pyx_v_float_res_v.strides[2]) )) = __pyx_v_L_bs;

                                  /* "pycraf/pathprof/cyprop.pyx":2662
 *                 float_res_v[1, yi, xi] = L_bd
 *                 float_res_v[2, yi, xi] = L_bs
 *                 float_res_v[3, yi, xi] = L_ba             # <<<<<<<<<<<<<<
 *                 float_res_v[4, yi, xi] = L_b
 *                 float_res_v[5, yi, xi] = L_b_corr
 */
                                  __pyx_t_34 = 3;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_34 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[2]) )) = __pyx_v_L_ba;

                                  /* "pycraf/pathprof/cyprop.pyx":2663
 *                 float_res_v[2, yi, xi] = L_bs
 *                 float_res_v[3, yi, xi] = L_ba
 *                 float_res_v[4, yi, xi] = L_b             # <<<<<<<<<<<<<<
 *                 float_res_v[5, yi, xi] = L_b_corr
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 */
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                                  /* "pycraf/pathprof/cyprop.pyx":2664
 *                 float_res_v[3, yi, xi] = L_ba
 *                 float_res_v[4, yi, xi] = L_b
 *                 float_res_v[5, yi, xi] = L_b_corr             # <<<<<<<<<<<<<<
 *                 float_res_v[6, yi, xi] = pp.eps_pt
 *                 float_res_v[7, yi, xi] = pp.eps_pr
 */
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                                  __pyx_t_23 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_34 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[2]) )) = __pyx_v_L_b_corr;

                                  /* "pycraf/pathprof/cyprop.pyx":2665
 *                 float_res_v[4, yi, xi] = L_b
 *                 float_res_v[5, yi, xi] = L_b_corr
 *                 float_res_v[6, yi, xi] = pp.eps_pt             # <<<<<<<<<<<<<<
 *                 float_res_v[7, yi, xi] = pp.eps_pr
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 */
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                                  __pyx_t_23 = 6;
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                                  __pyx_t_34 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_34 * __pyx_v_float_res_v.strides[2]) )) = __pyx_t_33;

                                  /* "pycraf/pathprof/cyprop.pyx":2666
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 *                 float_res_v[6, yi, xi] = pp.eps_pt
 *                 float_res_v[7, yi, xi] = pp.eps_pr             # <<<<<<<<<<<<<<
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 */
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                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_34 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[2]) )) = __pyx_t_33;

                                  /* "pycraf/pathprof/cyprop.pyx":2667
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 *                 float_res_v[8, yi, xi] = pp.d_lt             # <<<<<<<<<<<<<<
 *                 float_res_v[9, yi, xi] = pp.d_lr
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 */
                                  __pyx_t_33 = __pyx_v_pp->d_lt;
                                  __pyx_t_23 = 8;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_34 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_34 * __pyx_v_float_res_v.strides[2]) )) = __pyx_t_33;

                                  /* "pycraf/pathprof/cyprop.pyx":2668
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 *                 float_res_v[8, yi, xi] = pp.d_lt
 *                 float_res_v[9, yi, xi] = pp.d_lr             # <<<<<<<<<<<<<<
 * 
 *                 int_res_v[0, yi, xi] = pp.path_type
 */
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                                  __pyx_t_34 = 9;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_23 = __pyx_v_xi;
                                  *((double *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_34 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_float_res_v.strides[1]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[2]) )) = __pyx_t_33;

                                  /* "pycraf/pathprof/cyprop.pyx":2670
 *                 float_res_v[9, yi, xi] = pp.d_lr
 * 
 *                 int_res_v[0, yi, xi] = pp.path_type             # <<<<<<<<<<<<<<
 * 
 *         free(pp)
 */
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                                  __pyx_t_23 = 0;
                                  __pyx_t_22 = __pyx_v_yi;
                                  __pyx_t_34 = __pyx_v_xi;
                                  *((int *) ( /* dim=2 */ (( /* dim=1 */ (( /* dim=0 */ (__pyx_v_int_res_v.data + __pyx_t_23 * __pyx_v_int_res_v.strides[0]) ) + __pyx_t_22 * __pyx_v_int_res_v.strides[1]) ) + __pyx_t_34 * __pyx_v_int_res_v.strides[2]) )) = __pyx_t_24;
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                                goto __pyx_L21;
                                __pyx_L13_error:;
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                                    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
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                                      __Pyx_ErrFetchWithState(&__pyx_parallel_exc_type, &__pyx_parallel_exc_value, &__pyx_parallel_exc_tb);
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                                      __Pyx_GOTREF(__pyx_parallel_exc_type);
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                                    #ifdef WITH_THREAD
                                    __Pyx_PyGILState_Release(__pyx_gilstate_save);
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                                __pyx_parallel_why = 4;
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                                #ifdef _OPENMP
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                                    __pyx_parallel_temp0 = __pyx_v_L_b;
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                /* "pycraf/pathprof/cyprop.pyx":2672
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 * 
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 * 
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 * 
 * def atten_map_fast_cython(             # <<<<<<<<<<<<<<
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                    {
                        #ifdef _OPENMP
                        #pragma omp for lastprivate(__pyx_v_L_b) lastprivate(__pyx_v_L_b0p) lastprivate(__pyx_v_L_b_corr) lastprivate(__pyx_v_L_ba) lastprivate(__pyx_v_L_bd) lastprivate(__pyx_v_L_bs) lastprivate(__pyx_v_L_dummy) firstprivate(__pyx_v_i) lastprivate(__pyx_v_i) schedule(guided, __pyx_t_22)
                        #endif /* _OPENMP */
                        for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_21; __pyx_t_20++){
                            if (__pyx_parallel_why < 2)
                            {
                                __pyx_v_i = (int)(6 + 1 * __pyx_t_20);
                                /* Initialize private variables to invalid values */
                                __pyx_v_L_b = ((double)__PYX_NAN());
                                __pyx_v_L_b0p = ((double)__PYX_NAN());
                                __pyx_v_L_b_corr = ((double)__PYX_NAN());
                                __pyx_v_L_ba = ((double)__PYX_NAN());
                                __pyx_v_L_bd = ((double)__PYX_NAN());
                                __pyx_v_L_bs = ((double)__PYX_NAN());
                                __pyx_v_L_dummy = ((double)__PYX_NAN());

                                /* "pycraf/pathprof/cyprop.pyx":2826
 *         for i in prange(6, max_path_length, schedule='guided', chunksize=10):
 * 
 *             pp.zone_r = zone_r_v[i]             # <<<<<<<<<<<<<<
 * 
 *             if pp.zone_t == CLUTTER.UNKNOWN:
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->zone_r = (*((int *) ( /* dim=0 */ ((char *) (((int *) __pyx_v_zone_r_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2828
 *             pp.zone_r = zone_r_v[i]
 * 
 *             if pp.zone_t == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                 pp.h_tg = h_tg
 *             else:
 */
                                __pyx_t_1 = ((__pyx_v_pp->zone_t == __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
                                if (__pyx_t_1) {

                                  /* "pycraf/pathprof/cyprop.pyx":2829
 * 
 *             if pp.zone_t == CLUTTER.UNKNOWN:
 *                 pp.h_tg = h_tg             # <<<<<<<<<<<<<<
 *             else:
 *                 pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)
 */
                                  __pyx_v_pp->h_tg = __pyx_v_h_tg;

                                  /* "pycraf/pathprof/cyprop.pyx":2828
 *             pp.zone_r = zone_r_v[i]
 * 
 *             if pp.zone_t == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                 pp.h_tg = h_tg
 *             else:
 */
                                  goto __pyx_L17;
                                }

                                /* "pycraf/pathprof/cyprop.pyx":2831
 *                 pp.h_tg = h_tg
 *             else:
 *                 pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)             # <<<<<<<<<<<<<<
 * 
 *             if pp.zone_r == CLUTTER.UNKNOWN:
 */
                                /*else*/ {
                                  __pyx_t_23 = __pyx_v_pp->zone_t;
                                  __pyx_t_24 = 0;
                                  __pyx_v_pp->h_tg = __pyx_f_6pycraf_8pathprof_6cyprop_f_max((*((double *) ( /* dim=1 */ ((char *) (((double *) ( /* dim=0 */ (__pyx_v_clutter_data_v.data + __pyx_t_23 * __pyx_v_clutter_data_v.strides[0]) )) + __pyx_t_24)) ))), __pyx_v_h_tg);
                                }
                                __pyx_L17:;

                                /* "pycraf/pathprof/cyprop.pyx":2833
 *                 pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)
 * 
 *             if pp.zone_r == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                 pp.h_rg = h_rg
 *             else:
 */
                                __pyx_t_1 = ((__pyx_v_pp->zone_r == __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
                                if (__pyx_t_1) {

                                  /* "pycraf/pathprof/cyprop.pyx":2834
 * 
 *             if pp.zone_r == CLUTTER.UNKNOWN:
 *                 pp.h_rg = h_rg             # <<<<<<<<<<<<<<
 *             else:
 *                 pp.h_rg = f_max(clutter_data_v[pp.zone_r, 0], h_rg)
 */
                                  __pyx_v_pp->h_rg = __pyx_v_h_rg;

                                  /* "pycraf/pathprof/cyprop.pyx":2833
 *                 pp.h_tg = f_max(clutter_data_v[pp.zone_t, 0], h_tg)
 * 
 *             if pp.zone_r == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                 pp.h_rg = h_rg
 *             else:
 */
                                  goto __pyx_L18;
                                }

                                /* "pycraf/pathprof/cyprop.pyx":2836
 *                 pp.h_rg = h_rg
 *             else:
 *                 pp.h_rg = f_max(clutter_data_v[pp.zone_r, 0], h_rg)             # <<<<<<<<<<<<<<
 * 
 *             pp.d_tm = d_tm_v[i]
 */
                                /*else*/ {
                                  __pyx_t_24 = __pyx_v_pp->zone_r;
                                  __pyx_t_23 = 0;
                                  __pyx_v_pp->h_rg = __pyx_f_6pycraf_8pathprof_6cyprop_f_max((*((double *) ( /* dim=1 */ ((char *) (((double *) ( /* dim=0 */ (__pyx_v_clutter_data_v.data + __pyx_t_24 * __pyx_v_clutter_data_v.strides[0]) )) + __pyx_t_23)) ))), __pyx_v_h_rg);
                                }
                                __pyx_L18:;

                                /* "pycraf/pathprof/cyprop.pyx":2838
 *                 pp.h_rg = f_max(clutter_data_v[pp.zone_r, 0], h_rg)
 * 
 *             pp.d_tm = d_tm_v[i]             # <<<<<<<<<<<<<<
 *             pp.d_lm = d_lm_v[i]
 *             pp.d_ct = d_ct_v[i]
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->d_tm = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_tm_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2839
 * 
 *             pp.d_tm = d_tm_v[i]
 *             pp.d_lm = d_lm_v[i]             # <<<<<<<<<<<<<<
 *             pp.d_ct = d_ct_v[i]
 *             pp.d_cr = d_cr_v[i]
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->d_lm = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_lm_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2840
 *             pp.d_tm = d_tm_v[i]
 *             pp.d_lm = d_lm_v[i]
 *             pp.d_ct = d_ct_v[i]             # <<<<<<<<<<<<<<
 *             pp.d_cr = d_cr_v[i]
 *             pp.omega = omega_v[i]
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->d_ct = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_ct_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2841
 *             pp.d_lm = d_lm_v[i]
 *             pp.d_ct = d_ct_v[i]
 *             pp.d_cr = d_cr_v[i]             # <<<<<<<<<<<<<<
 *             pp.omega = omega_v[i]
 * 
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->d_cr = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_d_cr_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2842
 *             pp.d_ct = d_ct_v[i]
 *             pp.d_cr = d_cr_v[i]
 *             pp.omega = omega_v[i]             # <<<<<<<<<<<<<<
 * 
 *             pp.delta_N = delta_N_v[i]
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->omega = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_omega_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2844
 *             pp.omega = omega_v[i]
 * 
 *             pp.delta_N = delta_N_v[i]             # <<<<<<<<<<<<<<
 *             pp.beta0 = beta0_v[i]
 *             pp.N0 = N0_v[i]
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->delta_N = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_delta_N_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2845
 * 
 *             pp.delta_N = delta_N_v[i]
 *             pp.beta0 = beta0_v[i]             # <<<<<<<<<<<<<<
 *             pp.N0 = N0_v[i]
 * 
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->beta0 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_beta0_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2846
 *             pp.delta_N = delta_N_v[i]
 *             pp.beta0 = beta0_v[i]
 *             pp.N0 = N0_v[i]             # <<<<<<<<<<<<<<
 * 
 *             pp.distance = distances_v[i]
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->N0 = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_N0_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2848
 *             pp.N0 = N0_v[i]
 * 
 *             pp.distance = distances_v[i]             # <<<<<<<<<<<<<<
 * 
 *             _process_path(
 */
                                __pyx_t_23 = __pyx_v_i;
                                __pyx_v_pp->distance = (*((double *) ( /* dim=0 */ ((char *) (((double *) __pyx_v_distances_v.data) + __pyx_t_23)) )));

                                /* "pycraf/pathprof/cyprop.pyx":2852
 *             _process_path(
 *                 pp,
 *                 distances_v[0:i + 1],             # <<<<<<<<<<<<<<
 *                 heights_v[0:i + 1],
 *                 zheights_v[0:i + 1],
 */
                                __pyx_t_7.data = __pyx_v_distances_v.data;
                                __pyx_t_7.memview = __pyx_v_distances_v.memview;
                                __PYX_INC_MEMVIEW(&__pyx_t_7, 0);
                                __pyx_t_25 = -1;
                                if (unlikely(__pyx_memoryview_slice_memviewslice(
    &__pyx_t_7,
    __pyx_v_distances_v.shape[0], __pyx_v_distances_v.strides[0], __pyx_v_distances_v.suboffsets[0],
    0,
    0,
    &__pyx_t_25,
    0,
    (__pyx_v_i + 1),
    0,
    1,
    1,
    0,
    1) < 0))
{
    __PYX_ERR(0, 2852, __pyx_L15_error)
}

__pyx_t_26.data = __pyx_v_heights_v.data;

                                /* "pycraf/pathprof/cyprop.pyx":2853
 *                 pp,
 *                 distances_v[0:i + 1],
 *                 heights_v[0:i + 1],             # <<<<<<<<<<<<<<
 *                 zheights_v[0:i + 1],
 *                 )
 */
                                __pyx_t_26.memview = __pyx_v_heights_v.memview;
                                __PYX_INC_MEMVIEW(&__pyx_t_26, 0);
                                __pyx_t_25 = -1;
                                if (unlikely(__pyx_memoryview_slice_memviewslice(
    &__pyx_t_26,
    __pyx_v_heights_v.shape[0], __pyx_v_heights_v.strides[0], __pyx_v_heights_v.suboffsets[0],
    0,
    0,
    &__pyx_t_25,
    0,
    (__pyx_v_i + 1),
    0,
    1,
    1,
    0,
    1) < 0))
{
    __PYX_ERR(0, 2853, __pyx_L15_error)
}

__pyx_t_27.data = __pyx_v_zheights_v.data;

                                /* "pycraf/pathprof/cyprop.pyx":2854
 *                 distances_v[0:i + 1],
 *                 heights_v[0:i + 1],
 *                 zheights_v[0:i + 1],             # <<<<<<<<<<<<<<
 *                 )
 * 
 */
                                __pyx_t_27.memview = __pyx_v_zheights_v.memview;
                                __PYX_INC_MEMVIEW(&__pyx_t_27, 0);
                                __pyx_t_25 = -1;
                                if (unlikely(__pyx_memoryview_slice_memviewslice(
    &__pyx_t_27,
    __pyx_v_zheights_v.shape[0], __pyx_v_zheights_v.strides[0], __pyx_v_zheights_v.suboffsets[0],
    0,
    0,
    &__pyx_t_25,
    0,
    (__pyx_v_i + 1),
    0,
    1,
    1,
    0,
    1) < 0))
{
    __PYX_ERR(0, 2854, __pyx_L15_error)
}

__pyx_f_6pycraf_8pathprof_6cyprop__process_path(__pyx_v_pp, __pyx_t_7, __pyx_t_26, __pyx_t_27);

                                /* "pycraf/pathprof/cyprop.pyx":2850
 *             pp.distance = distances_v[i]
 * 
 *             _process_path(             # <<<<<<<<<<<<<<
 *                 pp,
 *                 distances_v[0:i + 1],
 */
                                __PYX_XDEC_MEMVIEW(&__pyx_t_7, 0);
                                __pyx_t_7.memview = NULL;
                                __pyx_t_7.data = NULL;
                                __PYX_XDEC_MEMVIEW(&__pyx_t_26, 0);
                                __pyx_t_26.memview = NULL;
                                __pyx_t_26.data = NULL;
                                __PYX_XDEC_MEMVIEW(&__pyx_t_27, 0);
                                __pyx_t_27.memview = NULL;
                                __pyx_t_27.data = NULL;

                                /* "pycraf/pathprof/cyprop.pyx":2859
 *             (
 *                 L_b0p, L_bd, L_bs, L_ba, L_b, L_b_corr, L_dummy
 *                 ) = _path_attenuation_complete(pp[0], G_t, G_r)             # <<<<<<<<<<<<<<
 * 
 *             float_res_v[0, i] = L_b0p
 */
                                __pyx_t_28 = __pyx_f_6pycraf_8pathprof_6cyprop__path_attenuation_complete((__pyx_v_pp[0]), __pyx_v_G_t, __pyx_v_G_r);
                                __pyx_t_29 = __pyx_t_28.f0;
                                __pyx_t_30 = __pyx_t_28.f1;
                                __pyx_t_31 = __pyx_t_28.f2;
                                __pyx_t_32 = __pyx_t_28.f3;
                                __pyx_t_33 = __pyx_t_28.f4;
                                __pyx_t_34 = __pyx_t_28.f5;
                                __pyx_t_35 = __pyx_t_28.f6;
                                __pyx_v_L_b0p = __pyx_t_29;
                                __pyx_v_L_bd = __pyx_t_30;
                                __pyx_v_L_bs = __pyx_t_31;
                                __pyx_v_L_ba = __pyx_t_32;
                                __pyx_v_L_b = __pyx_t_33;
                                __pyx_v_L_b_corr = __pyx_t_34;
                                __pyx_v_L_dummy = __pyx_t_35;

                                /* "pycraf/pathprof/cyprop.pyx":2861
 *                 ) = _path_attenuation_complete(pp[0], G_t, G_r)
 * 
 *             float_res_v[0, i] = L_b0p             # <<<<<<<<<<<<<<
 *             float_res_v[1, i] = L_bd
 *             float_res_v[2, i] = L_bs
 */
                                __pyx_t_23 = 0;
                                __pyx_t_24 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_24 * __pyx_v_float_res_v.strides[1]) )) = __pyx_v_L_b0p;

                                /* "pycraf/pathprof/cyprop.pyx":2862
 * 
 *             float_res_v[0, i] = L_b0p
 *             float_res_v[1, i] = L_bd             # <<<<<<<<<<<<<<
 *             float_res_v[2, i] = L_bs
 *             float_res_v[3, i] = L_ba
 */
                                __pyx_t_24 = 1;
                                __pyx_t_23 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_24 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[1]) )) = __pyx_v_L_bd;

                                /* "pycraf/pathprof/cyprop.pyx":2863
 *             float_res_v[0, i] = L_b0p
 *             float_res_v[1, i] = L_bd
 *             float_res_v[2, i] = L_bs             # <<<<<<<<<<<<<<
 *             float_res_v[3, i] = L_ba
 *             float_res_v[4, i] = L_b
 */
                                __pyx_t_23 = 2;
                                __pyx_t_24 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_24 * __pyx_v_float_res_v.strides[1]) )) = __pyx_v_L_bs;

                                /* "pycraf/pathprof/cyprop.pyx":2864
 *             float_res_v[1, i] = L_bd
 *             float_res_v[2, i] = L_bs
 *             float_res_v[3, i] = L_ba             # <<<<<<<<<<<<<<
 *             float_res_v[4, i] = L_b
 *             float_res_v[5, i] = L_b_corr
 */
                                __pyx_t_24 = 3;
                                __pyx_t_23 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_24 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[1]) )) = __pyx_v_L_ba;

                                /* "pycraf/pathprof/cyprop.pyx":2865
 *             float_res_v[2, i] = L_bs
 *             float_res_v[3, i] = L_ba
 *             float_res_v[4, i] = L_b             # <<<<<<<<<<<<<<
 *             float_res_v[5, i] = L_b_corr
 *             float_res_v[6, i] = pp.eps_pt
 */
                                __pyx_t_23 = 4;
                                __pyx_t_24 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_24 * __pyx_v_float_res_v.strides[1]) )) = __pyx_v_L_b;

                                /* "pycraf/pathprof/cyprop.pyx":2866
 *             float_res_v[3, i] = L_ba
 *             float_res_v[4, i] = L_b
 *             float_res_v[5, i] = L_b_corr             # <<<<<<<<<<<<<<
 *             float_res_v[6, i] = pp.eps_pt
 *             float_res_v[7, i] = pp.eps_pr
 */
                                __pyx_t_24 = 5;
                                __pyx_t_23 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_24 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[1]) )) = __pyx_v_L_b_corr;

                                /* "pycraf/pathprof/cyprop.pyx":2867
 *             float_res_v[4, i] = L_b
 *             float_res_v[5, i] = L_b_corr
 *             float_res_v[6, i] = pp.eps_pt             # <<<<<<<<<<<<<<
 *             float_res_v[7, i] = pp.eps_pr
 *             float_res_v[8, i] = pp.d_lt
 */
                                __pyx_t_35 = __pyx_v_pp->eps_pt;
                                __pyx_t_23 = 6;
                                __pyx_t_24 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_24 * __pyx_v_float_res_v.strides[1]) )) = __pyx_t_35;

                                /* "pycraf/pathprof/cyprop.pyx":2868
 *             float_res_v[5, i] = L_b_corr
 *             float_res_v[6, i] = pp.eps_pt
 *             float_res_v[7, i] = pp.eps_pr             # <<<<<<<<<<<<<<
 *             float_res_v[8, i] = pp.d_lt
 *             float_res_v[9, i] = pp.d_lr
 */
                                __pyx_t_35 = __pyx_v_pp->eps_pr;
                                __pyx_t_24 = 7;
                                __pyx_t_23 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_24 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[1]) )) = __pyx_t_35;

                                /* "pycraf/pathprof/cyprop.pyx":2869
 *             float_res_v[6, i] = pp.eps_pt
 *             float_res_v[7, i] = pp.eps_pr
 *             float_res_v[8, i] = pp.d_lt             # <<<<<<<<<<<<<<
 *             float_res_v[9, i] = pp.d_lr
 * 
 */
                                __pyx_t_35 = __pyx_v_pp->d_lt;
                                __pyx_t_23 = 8;
                                __pyx_t_24 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_23 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_24 * __pyx_v_float_res_v.strides[1]) )) = __pyx_t_35;

                                /* "pycraf/pathprof/cyprop.pyx":2870
 *             float_res_v[7, i] = pp.eps_pr
 *             float_res_v[8, i] = pp.d_lt
 *             float_res_v[9, i] = pp.d_lr             # <<<<<<<<<<<<<<
 * 
 *             int_res_v[0, i] = pp.path_type
 */
                                __pyx_t_35 = __pyx_v_pp->d_lr;
                                __pyx_t_24 = 9;
                                __pyx_t_23 = __pyx_v_i;
                                *((double *) ( /* dim=1 */ (( /* dim=0 */ (__pyx_v_float_res_v.data + __pyx_t_24 * __pyx_v_float_res_v.strides[0]) ) + __pyx_t_23 * __pyx_v_float_res_v.strides[1]) )) = __pyx_t_35;

                                /* "pycraf/pathprof/cyprop.pyx":2872
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 */
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 *             last_h_rg = <double *> malloc(sizeof(double))
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 */
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 *                 abort()
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 */
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 *             if last_h_rg == NULL:
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 */
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                  /* "pycraf/pathprof/cyprop.pyx":3073
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 *             last_version = <int *> malloc(sizeof(int))
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 */
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 *             if last_version == NULL:
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 */
                  __pyx_t_9 = ((__pyx_v_last_zone_t == NULL) != 0);
                  if (__pyx_t_9) {

                    /* "pycraf/pathprof/cyprop.pyx":3080
 *             last_zone_t = <int *> malloc(sizeof(int))
 *             if last_zone_t == NULL:
 *                 abort()             # <<<<<<<<<<<<<<
 *             last_zone_r = <int *> malloc(sizeof(int))
 *             if last_zone_r == NULL:
 */
                    abort();

                    /* "pycraf/pathprof/cyprop.pyx":3079
 *                 abort()
 *             last_zone_t = <int *> malloc(sizeof(int))
 *             if last_zone_t == NULL:             # <<<<<<<<<<<<<<
 *                 abort()
 *             last_zone_r = <int *> malloc(sizeof(int))
 */
                  }

                  /* "pycraf/pathprof/cyprop.pyx":3081
 *             if last_zone_t == NULL:
 *                 abort()
 *             last_zone_r = <int *> malloc(sizeof(int))             # <<<<<<<<<<<<<<
 *             if last_zone_r == NULL:
 *                 abort()
 */
                  __pyx_v_last_zone_r = ((int *)malloc((sizeof(int))));

                  /* "pycraf/pathprof/cyprop.pyx":3082
 *                 abort()
 *             last_zone_r = <int *> malloc(sizeof(int))
 *             if last_zone_r == NULL:             # <<<<<<<<<<<<<<
 *                 abort()
 * 
 */
                  __pyx_t_9 = ((__pyx_v_last_zone_r == NULL) != 0);
                  if (__pyx_t_9) {

                    /* "pycraf/pathprof/cyprop.pyx":3083
 *             last_zone_r = <int *> malloc(sizeof(int))
 *             if last_zone_r == NULL:
 *                 abort()             # <<<<<<<<<<<<<<
 * 
 *             last_freq[0] = NAN
 */
                    abort();

                    /* "pycraf/pathprof/cyprop.pyx":3082
 *                 abort()
 *             last_zone_r = <int *> malloc(sizeof(int))
 *             if last_zone_r == NULL:             # <<<<<<<<<<<<<<
 *                 abort()
 * 
 */
                  }

                  /* "pycraf/pathprof/cyprop.pyx":3085
 *                 abort()
 * 
 *             last_freq[0] = NAN             # <<<<<<<<<<<<<<
 *             last_h_tg[0] = NAN
 *             last_h_rg[0] = NAN
 */
                  (__pyx_v_last_freq[0]) = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;

                  /* "pycraf/pathprof/cyprop.pyx":3086
 * 
 *             last_freq[0] = NAN
 *             last_h_tg[0] = NAN             # <<<<<<<<<<<<<<
 *             last_h_rg[0] = NAN
 *             last_version[0] = -1000
 */
                  (__pyx_v_last_h_tg[0]) = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;

                  /* "pycraf/pathprof/cyprop.pyx":3087
 *             last_freq[0] = NAN
 *             last_h_tg[0] = NAN
 *             last_h_rg[0] = NAN             # <<<<<<<<<<<<<<
 *             last_version[0] = -1000
 *             last_zone_t[0] = -1000
 */
                  (__pyx_v_last_h_rg[0]) = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;

                  /* "pycraf/pathprof/cyprop.pyx":3088
 *             last_h_tg[0] = NAN
 *             last_h_rg[0] = NAN
 *             last_version[0] = -1000             # <<<<<<<<<<<<<<
 *             last_zone_t[0] = -1000
 *             last_zone_r[0] = -1000
 */
                  (__pyx_v_last_version[0]) = -1000;

                  /* "pycraf/pathprof/cyprop.pyx":3089
 *             last_h_rg[0] = NAN
 *             last_version[0] = -1000
 *             last_zone_t[0] = -1000             # <<<<<<<<<<<<<<
 *             last_zone_r[0] = -1000
 * 
 */
                  (__pyx_v_last_zone_t[0]) = -1000;

                  /* "pycraf/pathprof/cyprop.pyx":3090
 *             last_version[0] = -1000
 *             last_zone_t[0] = -1000
 *             last_zone_r[0] = -1000             # <<<<<<<<<<<<<<
 * 
 *             pp = <ppstruct *> malloc(sizeof(ppstruct))
 */
                  (__pyx_v_last_zone_r[0]) = -1000;

                  /* "pycraf/pathprof/cyprop.pyx":3092
 *             last_zone_r[0] = -1000
 * 
 *             pp = <ppstruct *> malloc(sizeof(ppstruct))             # <<<<<<<<<<<<<<
 *             if pp == NULL:
 *                 abort()
 */
                  __pyx_v_pp = ((struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct *)malloc((sizeof(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct))));

                  /* "pycraf/pathprof/cyprop.pyx":3093
 * 
 *             pp = <ppstruct *> malloc(sizeof(ppstruct))
 *             if pp == NULL:             # <<<<<<<<<<<<<<
 *                 abort()
 * 
 */
                  __pyx_t_9 = ((__pyx_v_pp == NULL) != 0);
                  if (__pyx_t_9) {

                    /* "pycraf/pathprof/cyprop.pyx":3094
 *             pp = <ppstruct *> malloc(sizeof(ppstruct))
 *             if pp == NULL:
 *                 abort()             # <<<<<<<<<<<<<<
 * 
 *             # pp.lon_t = lon_t
 */
                    abort();

                    /* "pycraf/pathprof/cyprop.pyx":3093
 * 
 *             pp = <ppstruct *> malloc(sizeof(ppstruct))
 *             if pp == NULL:             # <<<<<<<<<<<<<<
 *                 abort()
 * 
 */
                  }

                  /* "pycraf/pathprof/cyprop.pyx":3100
 *             # pp.lon_r = lon_r
 *             # pp.lat_r = lat_r
 *             pp.lon_mid = lon_mid             # <<<<<<<<<<<<<<
 *             pp.lat_mid = lat_mid
 *             pp.hprof_step = hprof_step  # dummy
 */
                  __pyx_v_pp->lon_mid = __pyx_v_lon_mid;

                  /* "pycraf/pathprof/cyprop.pyx":3101
 *             # pp.lat_r = lat_r
 *             pp.lon_mid = lon_mid
 *             pp.lat_mid = lat_mid             # <<<<<<<<<<<<<<
 *             pp.hprof_step = hprof_step  # dummy
 *             pp.distance = distance
 */
                  __pyx_v_pp->lat_mid = __pyx_v_lat_mid;

                  /* "pycraf/pathprof/cyprop.pyx":3102
 *             pp.lon_mid = lon_mid
 *             pp.lat_mid = lat_mid
 *             pp.hprof_step = hprof_step  # dummy             # <<<<<<<<<<<<<<
 *             pp.distance = distance
 *             pp.bearing = bearing
 */
                  __pyx_v_pp->hprof_step = __pyx_v_hprof_step;

                  /* "pycraf/pathprof/cyprop.pyx":3103
 *             pp.lat_mid = lat_mid
 *             pp.hprof_step = hprof_step  # dummy
 *             pp.distance = distance             # <<<<<<<<<<<<<<
 *             pp.bearing = bearing
 *             pp.back_bearing = back_bearing
 */
                  __pyx_v_pp->distance = __pyx_v_distance;

                  /* "pycraf/pathprof/cyprop.pyx":3104
 *             pp.hprof_step = hprof_step  # dummy
 *             pp.distance = distance
 *             pp.bearing = bearing             # <<<<<<<<<<<<<<
 *             pp.back_bearing = back_bearing
 *             pp.alpha_tr = bearing
 */
                  __pyx_v_pp->bearing = __pyx_v_bearing;

                  /* "pycraf/pathprof/cyprop.pyx":3105
 *             pp.distance = distance
 *             pp.bearing = bearing
 *             pp.back_bearing = back_bearing             # <<<<<<<<<<<<<<
 *             pp.alpha_tr = bearing
 *             pp.alpha_rt = back_bearing
 */
                  __pyx_v_pp->back_bearing = __pyx_v_back_bearing;

                  /* "pycraf/pathprof/cyprop.pyx":3106
 *             pp.bearing = bearing
 *             pp.back_bearing = back_bearing
 *             pp.alpha_tr = bearing             # <<<<<<<<<<<<<<
 *             pp.alpha_rt = back_bearing
 *             pp.delta_N = _delta_N
 */
                  __pyx_v_pp->alpha_tr = __pyx_v_bearing;

                  /* "pycraf/pathprof/cyprop.pyx":3107
 *             pp.back_bearing = back_bearing
 *             pp.alpha_tr = bearing
 *             pp.alpha_rt = back_bearing             # <<<<<<<<<<<<<<
 *             pp.delta_N = _delta_N
 *             pp.N0 = _N0
 */
                  __pyx_v_pp->alpha_rt = __pyx_v_back_bearing;

                  /* "pycraf/pathprof/cyprop.pyx":3108
 *             pp.alpha_tr = bearing
 *             pp.alpha_rt = back_bearing
 *             pp.delta_N = _delta_N             # <<<<<<<<<<<<<<
 *             pp.N0 = _N0
 * 
 */
                  __pyx_v_pp->delta_N = __pyx_v__delta_N;

                  /* "pycraf/pathprof/cyprop.pyx":3109
 *             pp.alpha_rt = back_bearing
 *             pp.delta_N = _delta_N
 *             pp.N0 = _N0             # <<<<<<<<<<<<<<
 * 
 *             size = _freq.shape[0]
 */
                  __pyx_v_pp->N0 = __pyx_v__N0;

                  /* "pycraf/pathprof/cyprop.pyx":3111
 *             pp.N0 = _N0
 * 
 *             size = _freq.shape[0]             # <<<<<<<<<<<<<<
 * 
 *             for i in prange(size):
 */
                  __pyx_v_size = (__pyx_v__freq->dimensions[0]);

                  /* "pycraf/pathprof/cyprop.pyx":3113
 *             size = _freq.shape[0]
 * 
 *             for i in prange(size):             # <<<<<<<<<<<<<<
 * 
 *                 if (
 */
                  __pyx_t_15 = __pyx_v_size;
                  if ((1 == 0)) abort();
                  {
                      __pyx_t_60 = (__pyx_t_15 - 0 + 1 - 1/abs(1)) / 1;
                      if (__pyx_t_60 > 0)
                      {
                          #ifdef _OPENMP
                          #pragma omp for lastprivate(__pyx_v_L_dummy) firstprivate(__pyx_v_i) lastprivate(__pyx_v_i)
                          #endif /* _OPENMP */
                          for (__pyx_t_59 = 0; __pyx_t_59 < __pyx_t_60; __pyx_t_59++){
                              {
                                  __pyx_v_i = (int)(0 + 1 * __pyx_t_59);
                                  /* Initialize private variables to invalid values */
                                  __pyx_v_L_dummy = ((double)__PYX_NAN());

                                  /* "pycraf/pathprof/cyprop.pyx":3116
 * 
 *                 if (
 *                         _freq[i] != last_freq[0] or             # <<<<<<<<<<<<<<
 *                         _h_tg[i] != last_h_tg[0] or
 *                         _h_rg[i] != last_h_rg[0] or
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_6 = (((*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__freq.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__freq.diminfo[0].strides)) != (__pyx_v_last_freq[0])) != 0);
                                  if (!__pyx_t_6) {
                                  } else {
                                    __pyx_t_9 = __pyx_t_6;
                                    goto __pyx_L45_bool_binop_done;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":3117
 *                 if (
 *                         _freq[i] != last_freq[0] or
 *                         _h_tg[i] != last_h_tg[0] or             # <<<<<<<<<<<<<<
 *                         _h_rg[i] != last_h_rg[0] or
 *                         _version[i] != last_version[0] or
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_6 = (((*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_tg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_tg.diminfo[0].strides)) != (__pyx_v_last_h_tg[0])) != 0);
                                  if (!__pyx_t_6) {
                                  } else {
                                    __pyx_t_9 = __pyx_t_6;
                                    goto __pyx_L45_bool_binop_done;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":3118
 *                         _freq[i] != last_freq[0] or
 *                         _h_tg[i] != last_h_tg[0] or
 *                         _h_rg[i] != last_h_rg[0] or             # <<<<<<<<<<<<<<
 *                         _version[i] != last_version[0] or
 *                         _zone_t[i] != last_zone_t[0] or
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_6 = (((*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_rg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_rg.diminfo[0].strides)) != (__pyx_v_last_h_rg[0])) != 0);
                                  if (!__pyx_t_6) {
                                  } else {
                                    __pyx_t_9 = __pyx_t_6;
                                    goto __pyx_L45_bool_binop_done;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":3119
 *                         _h_tg[i] != last_h_tg[0] or
 *                         _h_rg[i] != last_h_rg[0] or
 *                         _version[i] != last_version[0] or             # <<<<<<<<<<<<<<
 *                         _zone_t[i] != last_zone_t[0] or
 *                         _zone_r[i] != last_zone_r[0]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_6 = (((*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__version.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__version.diminfo[0].strides)) != (__pyx_v_last_version[0])) != 0);
                                  if (!__pyx_t_6) {
                                  } else {
                                    __pyx_t_9 = __pyx_t_6;
                                    goto __pyx_L45_bool_binop_done;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":3120
 *                         _h_rg[i] != last_h_rg[0] or
 *                         _version[i] != last_version[0] or
 *                         _zone_t[i] != last_zone_t[0] or             # <<<<<<<<<<<<<<
 *                         _zone_r[i] != last_zone_r[0]
 *                         ):
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_6 = (((*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__zone_t.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__zone_t.diminfo[0].strides)) != (__pyx_v_last_zone_t[0])) != 0);
                                  if (!__pyx_t_6) {
                                  } else {
                                    __pyx_t_9 = __pyx_t_6;
                                    goto __pyx_L45_bool_binop_done;
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":3121
 *                         _version[i] != last_version[0] or
 *                         _zone_t[i] != last_zone_t[0] or
 *                         _zone_r[i] != last_zone_r[0]             # <<<<<<<<<<<<<<
 *                         ):
 *                     last_freq[0] = _freq[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_6 = (((*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__zone_r.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__zone_r.diminfo[0].strides)) != (__pyx_v_last_zone_r[0])) != 0);
                                  __pyx_t_9 = __pyx_t_6;
                                  __pyx_L45_bool_binop_done:;

                                  /* "pycraf/pathprof/cyprop.pyx":3115
 *             for i in prange(size):
 * 
 *                 if (             # <<<<<<<<<<<<<<
 *                         _freq[i] != last_freq[0] or
 *                         _h_tg[i] != last_h_tg[0] or
 */
                                  if (__pyx_t_9) {

                                    /* "pycraf/pathprof/cyprop.pyx":3123
 *                         _zone_r[i] != last_zone_r[0]
 *                         ):
 *                     last_freq[0] = _freq[i]             # <<<<<<<<<<<<<<
 *                     last_h_tg[0] = _h_tg[i]
 *                     last_h_rg[0] = _h_rg[i]
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    (__pyx_v_last_freq[0]) = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__freq.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__freq.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3124
 *                         ):
 *                     last_freq[0] = _freq[i]
 *                     last_h_tg[0] = _h_tg[i]             # <<<<<<<<<<<<<<
 *                     last_h_rg[0] = _h_rg[i]
 *                     last_version[0] = _version[i]
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    (__pyx_v_last_h_tg[0]) = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_tg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_tg.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3125
 *                     last_freq[0] = _freq[i]
 *                     last_h_tg[0] = _h_tg[i]
 *                     last_h_rg[0] = _h_rg[i]             # <<<<<<<<<<<<<<
 *                     last_version[0] = _version[i]
 *                     last_zone_t[0] = _zone_t[i]
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    (__pyx_v_last_h_rg[0]) = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_rg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_rg.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3126
 *                     last_h_tg[0] = _h_tg[i]
 *                     last_h_rg[0] = _h_rg[i]
 *                     last_version[0] = _version[i]             # <<<<<<<<<<<<<<
 *                     last_zone_t[0] = _zone_t[i]
 *                     last_zone_r[0] = _zone_r[i]
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    (__pyx_v_last_version[0]) = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__version.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__version.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3127
 *                     last_h_rg[0] = _h_rg[i]
 *                     last_version[0] = _version[i]
 *                     last_zone_t[0] = _zone_t[i]             # <<<<<<<<<<<<<<
 *                     last_zone_r[0] = _zone_r[i]
 * 
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    (__pyx_v_last_zone_t[0]) = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__zone_t.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__zone_t.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3128
 *                     last_version[0] = _version[i]
 *                     last_zone_t[0] = _zone_t[i]
 *                     last_zone_r[0] = _zone_r[i]             # <<<<<<<<<<<<<<
 * 
 *                     # need to re-process path geometry ...
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    (__pyx_v_last_zone_r[0]) = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__zone_r.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__zone_r.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3131
 * 
 *                     # need to re-process path geometry ...
 *                     pp.version = _version[i]             # <<<<<<<<<<<<<<
 *                     pp.freq = _freq[i]
 *                     pp.wavelen = 0.299792458 / pp.freq
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    __pyx_v_pp->version = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__version.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__version.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3132
 *                     # need to re-process path geometry ...
 *                     pp.version = _version[i]
 *                     pp.freq = _freq[i]             # <<<<<<<<<<<<<<
 *                     pp.wavelen = 0.299792458 / pp.freq
 *                     pp.zone_t = _zone_t[i]
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    __pyx_v_pp->freq = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__freq.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__freq.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3133
 *                     pp.version = _version[i]
 *                     pp.freq = _freq[i]
 *                     pp.wavelen = 0.299792458 / pp.freq             # <<<<<<<<<<<<<<
 *                     pp.zone_t = _zone_t[i]
 *                     pp.zone_r = _zone_r[i]
 */
                                    __pyx_v_pp->wavelen = (0.299792458 / __pyx_v_pp->freq);

                                    /* "pycraf/pathprof/cyprop.pyx":3134
 *                     pp.freq = _freq[i]
 *                     pp.wavelen = 0.299792458 / pp.freq
 *                     pp.zone_t = _zone_t[i]             # <<<<<<<<<<<<<<
 *                     pp.zone_r = _zone_r[i]
 *                     if pp.zone_t == CLUTTER.UNKNOWN:
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    __pyx_v_pp->zone_t = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__zone_t.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__zone_t.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3135
 *                     pp.wavelen = 0.299792458 / pp.freq
 *                     pp.zone_t = _zone_t[i]
 *                     pp.zone_r = _zone_r[i]             # <<<<<<<<<<<<<<
 *                     if pp.zone_t == CLUTTER.UNKNOWN:
 *                         pp.h_tg = _h_tg[i]
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    __pyx_v_pp->zone_r = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__zone_r.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__zone_r.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3136
 *                     pp.zone_t = _zone_t[i]
 *                     pp.zone_r = _zone_r[i]
 *                     if pp.zone_t == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                         pp.h_tg = _h_tg[i]
 *                     else:
 */
                                    __pyx_t_9 = ((__pyx_v_pp->zone_t == __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
                                    if (__pyx_t_9) {

                                      /* "pycraf/pathprof/cyprop.pyx":3137
 *                     pp.zone_r = _zone_r[i]
 *                     if pp.zone_t == CLUTTER.UNKNOWN:
 *                         pp.h_tg = _h_tg[i]             # <<<<<<<<<<<<<<
 *                     else:
 *                         pp.h_tg = f_max(_clut_data[pp.zone_t, 0], _h_tg[i])
 */
                                      __pyx_t_26 = __pyx_v_i;
                                      __pyx_v_pp->h_tg = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_tg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_tg.diminfo[0].strides));

                                      /* "pycraf/pathprof/cyprop.pyx":3136
 *                     pp.zone_t = _zone_t[i]
 *                     pp.zone_r = _zone_r[i]
 *                     if pp.zone_t == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                         pp.h_tg = _h_tg[i]
 *                     else:
 */
                                      goto __pyx_L51;
                                    }

                                    /* "pycraf/pathprof/cyprop.pyx":3139
 *                         pp.h_tg = _h_tg[i]
 *                     else:
 *                         pp.h_tg = f_max(_clut_data[pp.zone_t, 0], _h_tg[i])             # <<<<<<<<<<<<<<
 * 
 *                     if pp.zone_r == CLUTTER.UNKNOWN:
 */
                                    /*else*/ {
                                      __pyx_t_26 = __pyx_v_pp->zone_t;
                                      __pyx_t_61 = 0;
                                      __pyx_t_62 = __pyx_v_i;
                                      __pyx_v_pp->h_tg = __pyx_f_6pycraf_8pathprof_6cyprop_f_max((*((double *) ( /* dim=1 */ ((char *) (((double *) ( /* dim=0 */ (__pyx_v__clut_data.data + __pyx_t_26 * __pyx_v__clut_data.strides[0]) )) + __pyx_t_61)) ))), (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_tg.rcbuffer->pybuffer.buf, __pyx_t_62, __pyx_pybuffernd__h_tg.diminfo[0].strides)));
                                    }
                                    __pyx_L51:;

                                    /* "pycraf/pathprof/cyprop.pyx":3141
 *                         pp.h_tg = f_max(_clut_data[pp.zone_t, 0], _h_tg[i])
 * 
 *                     if pp.zone_r == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                         pp.h_rg = _h_rg[i]
 *                     else:
 */
                                    __pyx_t_9 = ((__pyx_v_pp->zone_r == __pyx_e_6pycraf_8pathprof_6cyprop_UNKNOWN) != 0);
                                    if (__pyx_t_9) {

                                      /* "pycraf/pathprof/cyprop.pyx":3142
 * 
 *                     if pp.zone_r == CLUTTER.UNKNOWN:
 *                         pp.h_rg = _h_rg[i]             # <<<<<<<<<<<<<<
 *                     else:
 *                         pp.h_rg = f_max(_clut_data[pp.zone_r, 0], _h_rg[i])
 */
                                      __pyx_t_62 = __pyx_v_i;
                                      __pyx_v_pp->h_rg = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_rg.rcbuffer->pybuffer.buf, __pyx_t_62, __pyx_pybuffernd__h_rg.diminfo[0].strides));

                                      /* "pycraf/pathprof/cyprop.pyx":3141
 *                         pp.h_tg = f_max(_clut_data[pp.zone_t, 0], _h_tg[i])
 * 
 *                     if pp.zone_r == CLUTTER.UNKNOWN:             # <<<<<<<<<<<<<<
 *                         pp.h_rg = _h_rg[i]
 *                     else:
 */
                                      goto __pyx_L52;
                                    }

                                    /* "pycraf/pathprof/cyprop.pyx":3144
 *                         pp.h_rg = _h_rg[i]
 *                     else:
 *                         pp.h_rg = f_max(_clut_data[pp.zone_r, 0], _h_rg[i])             # <<<<<<<<<<<<<<
 *                     pp.h_tg_in = _h_tg[i]
 *                     pp.h_rg_in = _h_rg[i]
 */
                                    /*else*/ {
                                      __pyx_t_62 = __pyx_v_pp->zone_r;
                                      __pyx_t_61 = 0;
                                      __pyx_t_26 = __pyx_v_i;
                                      __pyx_v_pp->h_rg = __pyx_f_6pycraf_8pathprof_6cyprop_f_max((*((double *) ( /* dim=1 */ ((char *) (((double *) ( /* dim=0 */ (__pyx_v__clut_data.data + __pyx_t_62 * __pyx_v__clut_data.strides[0]) )) + __pyx_t_61)) ))), (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_rg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_rg.diminfo[0].strides)));
                                    }
                                    __pyx_L52:;

                                    /* "pycraf/pathprof/cyprop.pyx":3145
 *                     else:
 *                         pp.h_rg = f_max(_clut_data[pp.zone_r, 0], _h_rg[i])
 *                     pp.h_tg_in = _h_tg[i]             # <<<<<<<<<<<<<<
 *                     pp.h_rg_in = _h_rg[i]
 * 
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    __pyx_v_pp->h_tg_in = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_tg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_tg.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3146
 *                         pp.h_rg = f_max(_clut_data[pp.zone_r, 0], _h_rg[i])
 *                     pp.h_tg_in = _h_tg[i]
 *                     pp.h_rg_in = _h_rg[i]             # <<<<<<<<<<<<<<
 * 
 *                     _process_path(
 */
                                    __pyx_t_26 = __pyx_v_i;
                                    __pyx_v_pp->h_rg_in = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__h_rg.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__h_rg.diminfo[0].strides));

                                    /* "pycraf/pathprof/cyprop.pyx":3148
 *                     pp.h_rg_in = _h_rg[i]
 * 
 *                     _process_path(             # <<<<<<<<<<<<<<
 *                         pp,
 *                         distances_v,
 */
                                    __pyx_f_6pycraf_8pathprof_6cyprop__process_path(__pyx_v_pp, __pyx_v_distances_v, __pyx_v_heights_v, __pyx_v_zheights_v);

                                    /* "pycraf/pathprof/cyprop.pyx":3115
 *             for i in prange(size):
 * 
 *                 if (             # <<<<<<<<<<<<<<
 *                         _freq[i] != last_freq[0] or
 *                         _h_tg[i] != last_h_tg[0] or
 */
                                  }

                                  /* "pycraf/pathprof/cyprop.pyx":3155
 *                         )
 * 
 *                 pp.temperature = _temp[i]             # <<<<<<<<<<<<<<
 *                 pp.pressure = _press[i]
 *                 pp.d_tm = _d_tm[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->temperature = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__temp.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__temp.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3156
 * 
 *                 pp.temperature = _temp[i]
 *                 pp.pressure = _press[i]             # <<<<<<<<<<<<<<
 *                 pp.d_tm = _d_tm[i]
 *                 pp.d_lm = _d_lm[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->pressure = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__press.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__press.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3157
 *                 pp.temperature = _temp[i]
 *                 pp.pressure = _press[i]
 *                 pp.d_tm = _d_tm[i]             # <<<<<<<<<<<<<<
 *                 pp.d_lm = _d_lm[i]
 *                 pp.d_ct = _d_ct[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->d_tm = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__d_tm.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__d_tm.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3158
 *                 pp.pressure = _press[i]
 *                 pp.d_tm = _d_tm[i]
 *                 pp.d_lm = _d_lm[i]             # <<<<<<<<<<<<<<
 *                 pp.d_ct = _d_ct[i]
 *                 pp.d_cr = _d_cr[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->d_lm = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__d_lm.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__d_lm.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3159
 *                 pp.d_tm = _d_tm[i]
 *                 pp.d_lm = _d_lm[i]
 *                 pp.d_ct = _d_ct[i]             # <<<<<<<<<<<<<<
 *                 pp.d_cr = _d_cr[i]
 *                 pp.time_percent = _time_percent[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->d_ct = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__d_ct.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__d_ct.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3160
 *                 pp.d_lm = _d_lm[i]
 *                 pp.d_ct = _d_ct[i]
 *                 pp.d_cr = _d_cr[i]             # <<<<<<<<<<<<<<
 *                 pp.time_percent = _time_percent[i]
 *                 pp.polarization = _polarization[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->d_cr = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__d_cr.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__d_cr.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3161
 *                 pp.d_ct = _d_ct[i]
 *                 pp.d_cr = _d_cr[i]
 *                 pp.time_percent = _time_percent[i]             # <<<<<<<<<<<<<<
 *                 pp.polarization = _polarization[i]
 *                 pp.omega = _omega[i]
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->time_percent = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__time_percent.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__time_percent.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3162
 *                 pp.d_cr = _d_cr[i]
 *                 pp.time_percent = _time_percent[i]
 *                 pp.polarization = _polarization[i]             # <<<<<<<<<<<<<<
 *                 pp.omega = _omega[i]
 *                 pp.beta0 = _beta_from_DN_N0(
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->polarization = (*__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__polarization.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__polarization.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3163
 *                 pp.time_percent = _time_percent[i]
 *                 pp.polarization = _polarization[i]
 *                 pp.omega = _omega[i]             # <<<<<<<<<<<<<<
 *                 pp.beta0 = _beta_from_DN_N0(
 *                     pp.lat_mid, pp.delta_N, pp.N0, pp.d_tm, pp.d_lm
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_v_pp->omega = (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__omega.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__omega.diminfo[0].strides));

                                  /* "pycraf/pathprof/cyprop.pyx":3164
 *                 pp.polarization = _polarization[i]
 *                 pp.omega = _omega[i]
 *                 pp.beta0 = _beta_from_DN_N0(             # <<<<<<<<<<<<<<
 *                     pp.lat_mid, pp.delta_N, pp.N0, pp.d_tm, pp.d_lm
 *                     )
 */
                                  __pyx_v_pp->beta0 = __pyx_f_6pycraf_8pathprof_6cyprop__beta_from_DN_N0(__pyx_v_pp->lat_mid, __pyx_v_pp->delta_N, __pyx_v_pp->N0, __pyx_v_pp->d_tm, __pyx_v_pp->d_lm);

                                  /* "pycraf/pathprof/cyprop.pyx":3176
 *                     _L_b_corr[i],
 *                     L_dummy,
 *                     ) = _path_attenuation_complete(pp[0], _G_t[i], _G_r[i])             # <<<<<<<<<<<<<<
 * 
 *                 _eps_pt[i] = pp.eps_pt
 */
                                  __pyx_t_26 = __pyx_v_i;
                                  __pyx_t_61 = __pyx_v_i;
                                  __pyx_t_63 = __pyx_f_6pycraf_8pathprof_6cyprop__path_attenuation_complete((__pyx_v_pp[0]), (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__G_t.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd__G_t.diminfo[0].strides)), (*__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__G_r.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__G_r.diminfo[0].strides)));
                                  __pyx_t_21 = __pyx_t_63.f0;
                                  __pyx_t_20 = __pyx_t_63.f1;
                                  __pyx_t_19 = __pyx_t_63.f2;
                                  __pyx_t_64 = __pyx_t_63.f3;
                                  __pyx_t_65 = __pyx_t_63.f4;
                                  __pyx_t_66 = __pyx_t_63.f5;
                                  __pyx_t_67 = __pyx_t_63.f6;

                                  /* "pycraf/pathprof/cyprop.pyx":3169
 * 
 *                 (
 *                     _L_b0p[i],             # <<<<<<<<<<<<<<
 *                     _L_bd[i],
 *                     _L_bs[i],
 */
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__L_b0p.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__L_b0p.diminfo[0].strides) = __pyx_t_21;

                                  /* "pycraf/pathprof/cyprop.pyx":3170
 *                 (
 *                     _L_b0p[i],
 *                     _L_bd[i],             # <<<<<<<<<<<<<<
 *                     _L_bs[i],
 *                     _L_ba[i],
 */
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__L_bd.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__L_bd.diminfo[0].strides) = __pyx_t_20;

                                  /* "pycraf/pathprof/cyprop.pyx":3171
 *                     _L_b0p[i],
 *                     _L_bd[i],
 *                     _L_bs[i],             # <<<<<<<<<<<<<<
 *                     _L_ba[i],
 *                     _L_b[i],
 */
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__L_bs.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__L_bs.diminfo[0].strides) = __pyx_t_19;

                                  /* "pycraf/pathprof/cyprop.pyx":3172
 *                     _L_bd[i],
 *                     _L_bs[i],
 *                     _L_ba[i],             # <<<<<<<<<<<<<<
 *                     _L_b[i],
 *                     _L_b_corr[i],
 */
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__L_ba.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__L_ba.diminfo[0].strides) = __pyx_t_64;

                                  /* "pycraf/pathprof/cyprop.pyx":3173
 *                     _L_bs[i],
 *                     _L_ba[i],
 *                     _L_b[i],             # <<<<<<<<<<<<<<
 *                     _L_b_corr[i],
 *                     L_dummy,
 */
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__L_b.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__L_b.diminfo[0].strides) = __pyx_t_65;

                                  /* "pycraf/pathprof/cyprop.pyx":3174
 *                     _L_ba[i],
 *                     _L_b[i],
 *                     _L_b_corr[i],             # <<<<<<<<<<<<<<
 *                     L_dummy,
 *                     ) = _path_attenuation_complete(pp[0], _G_t[i], _G_r[i])
 */
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__L_b_corr.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__L_b_corr.diminfo[0].strides) = __pyx_t_66;
                                  __pyx_v_L_dummy = __pyx_t_67;

                                  /* "pycraf/pathprof/cyprop.pyx":3178
 *                     ) = _path_attenuation_complete(pp[0], _G_t[i], _G_r[i])
 * 
 *                 _eps_pt[i] = pp.eps_pt             # <<<<<<<<<<<<<<
 *                 _eps_pr[i] = pp.eps_pr
 *                 _d_lt[i] = pp.d_lt
 */
                                  __pyx_t_67 = __pyx_v_pp->eps_pt;
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__eps_pt.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__eps_pt.diminfo[0].strides) = __pyx_t_67;

                                  /* "pycraf/pathprof/cyprop.pyx":3179
 * 
 *                 _eps_pt[i] = pp.eps_pt
 *                 _eps_pr[i] = pp.eps_pr             # <<<<<<<<<<<<<<
 *                 _d_lt[i] = pp.d_lt
 *                 _d_lr[i] = pp.d_lr
 */
                                  __pyx_t_67 = __pyx_v_pp->eps_pr;
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__eps_pr.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__eps_pr.diminfo[0].strides) = __pyx_t_67;

                                  /* "pycraf/pathprof/cyprop.pyx":3180
 *                 _eps_pt[i] = pp.eps_pt
 *                 _eps_pr[i] = pp.eps_pr
 *                 _d_lt[i] = pp.d_lt             # <<<<<<<<<<<<<<
 *                 _d_lr[i] = pp.d_lr
 *                 _path_type[i] = pp.path_type
 */
                                  __pyx_t_67 = __pyx_v_pp->d_lt;
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__d_lt.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__d_lt.diminfo[0].strides) = __pyx_t_67;

                                  /* "pycraf/pathprof/cyprop.pyx":3181
 *                 _eps_pr[i] = pp.eps_pr
 *                 _d_lt[i] = pp.d_lt
 *                 _d_lr[i] = pp.d_lr             # <<<<<<<<<<<<<<
 *                 _path_type[i] = pp.path_type
 * 
 */
                                  __pyx_t_67 = __pyx_v_pp->d_lr;
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(double *, __pyx_pybuffernd__d_lr.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__d_lr.diminfo[0].strides) = __pyx_t_67;

                                  /* "pycraf/pathprof/cyprop.pyx":3182
 *                 _d_lt[i] = pp.d_lt
 *                 _d_lr[i] = pp.d_lr
 *                 _path_type[i] = pp.path_type             # <<<<<<<<<<<<<<
 * 
 *             free(last_freq)
 */
                                  __pyx_t_68 = __pyx_v_pp->path_type;
                                  __pyx_t_61 = __pyx_v_i;
                                  *__Pyx_BufPtrStrided1d(int *, __pyx_pybuffernd__path_type.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd__path_type.diminfo[0].strides) = __pyx_t_68;
                              }
                          }
                      }
                  }

                  /* "pycraf/pathprof/cyprop.pyx":3184
 *                 _path_type[i] = pp.path_type
 * 
 *             free(last_freq)             # <<<<<<<<<<<<<<
 *             free(last_h_tg)
 *             free(last_h_rg)
 */
                  free(__pyx_v_last_freq);

                  /* "pycraf/pathprof/cyprop.pyx":3185
 * 
 *             free(last_freq)
 *             free(last_h_tg)             # <<<<<<<<<<<<<<
 *             free(last_h_rg)
 *             free(last_version)
 */
                  free(__pyx_v_last_h_tg);

                  /* "pycraf/pathprof/cyprop.pyx":3186
 *             free(last_freq)
 *             free(last_h_tg)
 *             free(last_h_rg)             # <<<<<<<<<<<<<<
 *             free(last_version)
 *             free(last_zone_t)
 */
                  free(__pyx_v_last_h_rg);

                  /* "pycraf/pathprof/cyprop.pyx":3187
 *             free(last_h_tg)
 *             free(last_h_rg)
 *             free(last_version)             # <<<<<<<<<<<<<<
 *             free(last_zone_t)
 *             free(last_zone_r)
 */
                  free(__pyx_v_last_version);

                  /* "pycraf/pathprof/cyprop.pyx":3188
 *             free(last_h_rg)
 *             free(last_version)
 *             free(last_zone_t)             # <<<<<<<<<<<<<<
 *             free(last_zone_r)
 *             free(pp)
 */
                  free(__pyx_v_last_zone_t);

                  /* "pycraf/pathprof/cyprop.pyx":3189
 *             free(last_version)
 *             free(last_zone_t)
 *             free(last_zone_r)             # <<<<<<<<<<<<<<
 *             free(pp)
 * 
 */
                  free(__pyx_v_last_zone_r);

                  /* "pycraf/pathprof/cyprop.pyx":3190
 *             free(last_zone_t)
 *             free(last_zone_r)
 *             free(pp)             # <<<<<<<<<<<<<<
 * 
 *     out = it.operands[17:]
 */
                  free(__pyx_v_pp);
              }
          }
          #if ((defined(__APPLE__) || defined(__OSX__)) && (defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))))
              #undef likely
              #undef unlikely
              #define likely(x)   __builtin_expect(!!(x), 1)
              #define unlikely(x) __builtin_expect(!!(x), 0)
          #endif
        }

        /* "pycraf/pathprof/cyprop.pyx":3062
 *             ) in it:
 * 
 *         with nogil, parallel():             # <<<<<<<<<<<<<<
 * 
 *             # could not find a solution to make last_h_tg a thread-local
 */
        /*finally:*/ {
          /*normal exit:*/{
            #ifdef WITH_THREAD
            __Pyx_FastGIL_Forget();
            Py_BLOCK_THREADS
            #endif
            goto __pyx_L28;
          }
          __pyx_L28:;
        }
    }

    /* "pycraf/pathprof/cyprop.pyx":3054
 * 
 *     it.reset()
 *     for (             # <<<<<<<<<<<<<<
 *             _freq, _h_tg, _h_rg, _G_t, _G_r, _version, _zone_t, _zone_r,
 *             _temp, _press, _time_percent, _omega,
 */
  }
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "pycraf/pathprof/cyprop.pyx":3192
 *             free(pp)
 * 
 *     out = it.operands[17:]             # <<<<<<<<<<<<<<
 *     return out
 * 
 */
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_it, __pyx_n_s_operands); if (unlikely(!__pyx_t_4)) __PYX_ERR(0, 3192, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_4);
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/* "pycraf/pathprof/cyprop.pyx":3201
 * 
 * 
 * cdef inline double _phi_helper(             # <<<<<<<<<<<<<<
 *         double r_p, double r_t, double phi0,
 *         double a, double b, double c, double d,
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(double __pyx_v_r_p, double __pyx_v_r_t, double __pyx_v_phi0, double __pyx_v_a, double __pyx_v_b, double __pyx_v_c, double __pyx_v_d) {
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  /* "pycraf/pathprof/cyprop.pyx":3206
 *         ) nogil:
 * 
 *     return phi0 * r_p ** a * r_t ** b * exp(             # <<<<<<<<<<<<<<
 *         c * (1. - r_p) + d * (1. - r_t)
 *         )
 */
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  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":3201
 * 
 * 
 * cdef inline double _phi_helper(             # <<<<<<<<<<<<<<
 *         double r_p, double r_t, double phi0,
 *         double a, double b, double c, double d,
 */

  /* function exit code */
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}

/* "pycraf/pathprof/cyprop.pyx":3211
 * 
 * 
 * cdef inline double _g_helper(             # <<<<<<<<<<<<<<
 *         double f, double f_i,
 *         ) nogil:
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__g_helper(double __pyx_v_f, double __pyx_v_f_i) {
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  /* "pycraf/pathprof/cyprop.pyx":3215
 *         ) nogil:
 * 
 *     return 1. + ((f - f_i) / (f + f_i)) ** 2             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  /* "pycraf/pathprof/cyprop.pyx":3211
 * 
 * 
 * cdef inline double _g_helper(             # <<<<<<<<<<<<<<
 *         double f, double f_i,
 *         ) nogil:
 */

  /* function exit code */
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}

/* "pycraf/pathprof/cyprop.pyx":3218
 * 
 * 
 * cdef inline double _eta_helper1(             # <<<<<<<<<<<<<<
 *         double f, double r_t,
 *         double a, double eta, double b, double c, double d
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper1(double __pyx_v_f, double __pyx_v_r_t, double __pyx_v_a, double __pyx_v_eta, double __pyx_v_b, double __pyx_v_c, double __pyx_v_d) {
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  /* "pycraf/pathprof/cyprop.pyx":3226
 *     return (
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 *         _g_helper(f, floor(c + 0.5))
 *         )
 */
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  /* "pycraf/pathprof/cyprop.pyx":3218
 * 
 * 
 * cdef inline double _eta_helper1(             # <<<<<<<<<<<<<<
 *         double f, double r_t,
 *         double a, double eta, double b, double c, double d
 */

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/* "pycraf/pathprof/cyprop.pyx":3231
 * 
 * 
 * cdef inline double _eta_helper2(             # <<<<<<<<<<<<<<
 *         double f, double r_t,
 *         double a, double eta, double b, double c, double d
 */

static CYTHON_INLINE double __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(double __pyx_v_f, double __pyx_v_r_t, double __pyx_v_a, double __pyx_v_eta, double __pyx_v_b, double __pyx_v_c, double __pyx_v_d) {
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  /* "pycraf/pathprof/cyprop.pyx":3237
 * 
 *     return (
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 */
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  /* "pycraf/pathprof/cyprop.pyx":3231
 * 
 * 
 * cdef inline double _eta_helper2(             # <<<<<<<<<<<<<<
 *         double f, double r_t,
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 */

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/* "pycraf/pathprof/cyprop.pyx":3242
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 * cdef (double, double) _specific_attenuation_annex2(             # <<<<<<<<<<<<<<
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 */

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 *     r_t = 288. / (temperature - 0.15)
 * 
 */
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 * 
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 * 
 *     if freq <= 54.:
 */
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  /* "pycraf/pathprof/cyprop.pyx":3259
 *     r_t = 288. / (temperature - 0.15)
 * 
 *     if freq <= 54.:             # <<<<<<<<<<<<<<
 * 
 *         xi1 = _phi_helper(r_p, r_t, 1., 0.0717, -1.8132, 0.0156, -1.6515)
 */
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    /* "pycraf/pathprof/cyprop.pyx":3261
 *     if freq <= 54.:
 * 
 *         xi1 = _phi_helper(r_p, r_t, 1., 0.0717, -1.8132, 0.0156, -1.6515)             # <<<<<<<<<<<<<<
 *         xi2 = _phi_helper(r_p, r_t, 1., 0.5146, -4.6368, -0.1921, -5.7416)
 *         xi3 = _phi_helper(r_p, r_t, 1., 0.3414, -6.5851, 0.2130, -8.5854)
 */
    __pyx_v_xi1 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., 0.0717, -1.8132, 0.0156, -1.6515);

    /* "pycraf/pathprof/cyprop.pyx":3262
 * 
 *         xi1 = _phi_helper(r_p, r_t, 1., 0.0717, -1.8132, 0.0156, -1.6515)
 *         xi2 = _phi_helper(r_p, r_t, 1., 0.5146, -4.6368, -0.1921, -5.7416)             # <<<<<<<<<<<<<<
 *         xi3 = _phi_helper(r_p, r_t, 1., 0.3414, -6.5851, 0.2130, -8.5854)
 * 
 */
    __pyx_v_xi2 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., 0.5146, -4.6368, -0.1921, -5.7416);

    /* "pycraf/pathprof/cyprop.pyx":3263
 *         xi1 = _phi_helper(r_p, r_t, 1., 0.0717, -1.8132, 0.0156, -1.6515)
 *         xi2 = _phi_helper(r_p, r_t, 1., 0.5146, -4.6368, -0.1921, -5.7416)
 *         xi3 = _phi_helper(r_p, r_t, 1., 0.3414, -6.5851, 0.2130, -8.5854)             # <<<<<<<<<<<<<<
 * 
 *         atten_dry = freq ** 2 * r_p ** 2 * 1.e-3 * (
 */
    __pyx_v_xi3 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., 0.3414, -6.5851, 0.2130, -8.5854);

    /* "pycraf/pathprof/cyprop.pyx":3265
 *         xi3 = _phi_helper(r_p, r_t, 1., 0.3414, -6.5851, 0.2130, -8.5854)
 * 
 *         atten_dry = freq ** 2 * r_p ** 2 * 1.e-3 * (             # <<<<<<<<<<<<<<
 *             7.2 * r_t ** 2.8 / (freq ** 2 + 0.34 * r_p ** 2 * r_t ** 1.6) +
 *             0.62 * xi3 / ((54. - freq) ** (1.16 * xi1) + 0.83 * xi2)
 */
    __pyx_v_atten_dry = (((pow(__pyx_v_freq, 2.0) * pow(__pyx_v_r_p, 2.0)) * 1.e-3) * (((7.2 * pow(__pyx_v_r_t, 2.8)) / (pow(__pyx_v_freq, 2.0) + ((0.34 * pow(__pyx_v_r_p, 2.0)) * pow(__pyx_v_r_t, 1.6)))) + ((0.62 * __pyx_v_xi3) / (pow((54. - __pyx_v_freq), (1.16 * __pyx_v_xi1)) + (0.83 * __pyx_v_xi2)))));

    /* "pycraf/pathprof/cyprop.pyx":3259
 *     r_t = 288. / (temperature - 0.15)
 * 
 *     if freq <= 54.:             # <<<<<<<<<<<<<<
 * 
 *         xi1 = _phi_helper(r_p, r_t, 1., 0.0717, -1.8132, 0.0156, -1.6515)
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":3270
 *             )
 * 
 *     elif freq <= 60.:             # <<<<<<<<<<<<<<
 * 
 *         gamma54 = _phi_helper(
 */
  __pyx_t_1 = ((__pyx_v_freq <= 60.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":3272
 *     elif freq <= 60.:
 * 
 *         gamma54 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 2.192, 1.8286, -1.9487, 0.4051, -2.8509
 *             )
 */
    __pyx_v_gamma54 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 2.192, 1.8286, -1.9487, 0.4051, -2.8509);

    /* "pycraf/pathprof/cyprop.pyx":3275
 *             r_p, r_t, 2.192, 1.8286, -1.9487, 0.4051, -2.8509
 *             )
 *         gamma58 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 12.59, 1.0045, 3.5610, 0.1588, 1.2834
 *             )
 */
    __pyx_v_gamma58 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 12.59, 1.0045, 3.5610, 0.1588, 1.2834);

    /* "pycraf/pathprof/cyprop.pyx":3278
 *             r_p, r_t, 12.59, 1.0045, 3.5610, 0.1588, 1.2834
 *             )
 *         gamma60 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 15., 0.9003, 4.1335, 0.0427, 1.6088
 *             )
 */
    __pyx_v_gamma60 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 15., 0.9003, 4.1335, 0.0427, 1.6088);

    /* "pycraf/pathprof/cyprop.pyx":3282
 *             )
 * 
 *         atten_dry = exp(             # <<<<<<<<<<<<<<
 *             log(gamma54) / 24. * (freq - 58.) * (freq - 60.) -
 *             log(gamma58) / 8. * (freq - 54.) * (freq - 60.) +
 */
    __pyx_v_atten_dry = exp((((((log(__pyx_v_gamma54) / 24.) * (__pyx_v_freq - 58.)) * (__pyx_v_freq - 60.)) - (((log(__pyx_v_gamma58) / 8.) * (__pyx_v_freq - 54.)) * (__pyx_v_freq - 60.))) + (((log(__pyx_v_gamma60) / 12.) * (__pyx_v_freq - 54.)) * (__pyx_v_freq - 58.))));

    /* "pycraf/pathprof/cyprop.pyx":3270
 *             )
 * 
 *     elif freq <= 60.:             # <<<<<<<<<<<<<<
 * 
 *         gamma54 = _phi_helper(
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":3288
 *             )
 * 
 *     elif freq <= 62.:             # <<<<<<<<<<<<<<
 * 
 *         gamma60 = _phi_helper(
 */
  __pyx_t_1 = ((__pyx_v_freq <= 62.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":3290
 *     elif freq <= 62.:
 * 
 *         gamma60 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 15., 0.9003, 4.1335, 0.0427, 1.6088
 *             )
 */
    __pyx_v_gamma60 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 15., 0.9003, 4.1335, 0.0427, 1.6088);

    /* "pycraf/pathprof/cyprop.pyx":3293
 *             r_p, r_t, 15., 0.9003, 4.1335, 0.0427, 1.6088
 *             )
 *         gamma62 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 14.28, 0.9886, 3.4176, 0.1827, 1.3429
 *             )
 */
    __pyx_v_gamma62 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 14.28, 0.9886, 3.4176, 0.1827, 1.3429);

    /* "pycraf/pathprof/cyprop.pyx":3297
 *             )
 * 
 *         atten_dry = gamma60 + (gamma62 - gamma60) * (freq - 60.) / 2.             # <<<<<<<<<<<<<<
 * 
 *     elif freq <= 66.:
 */
    __pyx_v_atten_dry = (__pyx_v_gamma60 + (((__pyx_v_gamma62 - __pyx_v_gamma60) * (__pyx_v_freq - 60.)) / 2.));

    /* "pycraf/pathprof/cyprop.pyx":3288
 *             )
 * 
 *     elif freq <= 62.:             # <<<<<<<<<<<<<<
 * 
 *         gamma60 = _phi_helper(
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":3299
 *         atten_dry = gamma60 + (gamma62 - gamma60) * (freq - 60.) / 2.
 * 
 *     elif freq <= 66.:             # <<<<<<<<<<<<<<
 * 
 *         gamma62 = _phi_helper(
 */
  __pyx_t_1 = ((__pyx_v_freq <= 66.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":3301
 *     elif freq <= 66.:
 * 
 *         gamma62 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 14.28, 0.9886, 3.4176, 0.1827, 1.3429
 *             )
 */
    __pyx_v_gamma62 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 14.28, 0.9886, 3.4176, 0.1827, 1.3429);

    /* "pycraf/pathprof/cyprop.pyx":3304
 *             r_p, r_t, 14.28, 0.9886, 3.4176, 0.1827, 1.3429
 *             )
 *         gamma64 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 6.819, 1.4320, 0.6258, 0.3177, -0.5914
 *             )
 */
    __pyx_v_gamma64 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 6.819, 1.4320, 0.6258, 0.3177, -0.5914);

    /* "pycraf/pathprof/cyprop.pyx":3307
 *             r_p, r_t, 6.819, 1.4320, 0.6258, 0.3177, -0.5914
 *             )
 *         gamma66 = _phi_helper(             # <<<<<<<<<<<<<<
 *             r_p, r_t, 1.908, 2.0717, -4.1404, 0.4910, -4.8718
 *             )
 */
    __pyx_v_gamma66 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1.908, 2.0717, -4.1404, 0.4910, -4.8718);

    /* "pycraf/pathprof/cyprop.pyx":3311
 *             )
 * 
 *         atten_dry = exp(             # <<<<<<<<<<<<<<
 *             log(gamma62) / 8. * (freq - 64.) * (freq - 66.) -
 *             log(gamma64) / 4. * (freq - 62.) * (freq - 66.) +
 */
    __pyx_v_atten_dry = exp((((((log(__pyx_v_gamma62) / 8.) * (__pyx_v_freq - 64.)) * (__pyx_v_freq - 66.)) - (((log(__pyx_v_gamma64) / 4.) * (__pyx_v_freq - 62.)) * (__pyx_v_freq - 66.))) + (((log(__pyx_v_gamma66) / 8.) * (__pyx_v_freq - 62.)) * (__pyx_v_freq - 64.))));

    /* "pycraf/pathprof/cyprop.pyx":3299
 *         atten_dry = gamma60 + (gamma62 - gamma60) * (freq - 60.) / 2.
 * 
 *     elif freq <= 66.:             # <<<<<<<<<<<<<<
 * 
 *         gamma62 = _phi_helper(
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":3316
 *             log(gamma66) / 8. * (freq - 62.) * (freq - 64.)
 *             )
 *     elif freq <= 120.:             # <<<<<<<<<<<<<<
 * 
 *         xi4 = _phi_helper(r_p, r_t, 1., -0.0112, 0.0092, -0.1033, -0.0009)
 */
  __pyx_t_1 = ((__pyx_v_freq <= 120.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":3318
 *     elif freq <= 120.:
 * 
 *         xi4 = _phi_helper(r_p, r_t, 1., -0.0112, 0.0092, -0.1033, -0.0009)             # <<<<<<<<<<<<<<
 *         xi5 = _phi_helper(r_p, r_t, 1., 0.2705, -2.7192, -0.3016, -4.1033)
 *         xi6 = _phi_helper(r_p, r_t, 1., 0.2445, -5.9191, 0.0422, -8.0719)
 */
    __pyx_v_xi4 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., -0.0112, 0.0092, -0.1033, -0.0009);

    /* "pycraf/pathprof/cyprop.pyx":3319
 * 
 *         xi4 = _phi_helper(r_p, r_t, 1., -0.0112, 0.0092, -0.1033, -0.0009)
 *         xi5 = _phi_helper(r_p, r_t, 1., 0.2705, -2.7192, -0.3016, -4.1033)             # <<<<<<<<<<<<<<
 *         xi6 = _phi_helper(r_p, r_t, 1., 0.2445, -5.9191, 0.0422, -8.0719)
 *         xi7 = _phi_helper(r_p, r_t, 1., -0.1833, 6.5589, -0.2402, 6.131)
 */
    __pyx_v_xi5 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., 0.2705, -2.7192, -0.3016, -4.1033);

    /* "pycraf/pathprof/cyprop.pyx":3320
 *         xi4 = _phi_helper(r_p, r_t, 1., -0.0112, 0.0092, -0.1033, -0.0009)
 *         xi5 = _phi_helper(r_p, r_t, 1., 0.2705, -2.7192, -0.3016, -4.1033)
 *         xi6 = _phi_helper(r_p, r_t, 1., 0.2445, -5.9191, 0.0422, -8.0719)             # <<<<<<<<<<<<<<
 *         xi7 = _phi_helper(r_p, r_t, 1., -0.1833, 6.5589, -0.2402, 6.131)
 * 
 */
    __pyx_v_xi6 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., 0.2445, -5.9191, 0.0422, -8.0719);

    /* "pycraf/pathprof/cyprop.pyx":3321
 *         xi5 = _phi_helper(r_p, r_t, 1., 0.2705, -2.7192, -0.3016, -4.1033)
 *         xi6 = _phi_helper(r_p, r_t, 1., 0.2445, -5.9191, 0.0422, -8.0719)
 *         xi7 = _phi_helper(r_p, r_t, 1., -0.1833, 6.5589, -0.2402, 6.131)             # <<<<<<<<<<<<<<
 * 
 *         atten_dry = freq ** 2 * r_p ** 2 * 1.e-3 * (
 */
    __pyx_v_xi7 = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, 1., -0.1833, 6.5589, -0.2402, 6.131);

    /* "pycraf/pathprof/cyprop.pyx":3323
 *         xi7 = _phi_helper(r_p, r_t, 1., -0.1833, 6.5589, -0.2402, 6.131)
 * 
 *         atten_dry = freq ** 2 * r_p ** 2 * 1.e-3 * (             # <<<<<<<<<<<<<<
 *             3.02e-4 * r_t ** 3.5 +
 *             0.283 * r_t ** 3.8 / (
 */
    __pyx_v_atten_dry = (((pow(__pyx_v_freq, 2.0) * pow(__pyx_v_r_p, 2.0)) * 1.e-3) * (((3.02e-4 * pow(__pyx_v_r_t, 3.5)) + ((0.283 * pow(__pyx_v_r_t, 3.8)) / (pow((__pyx_v_freq - 118.75), 2.0) + ((2.91 * pow(__pyx_v_r_p, 2.0)) * pow(__pyx_v_r_t, 1.6))))) + (((0.502 * __pyx_v_xi6) * (1. - ((0.0163 * __pyx_v_xi7) * (__pyx_v_freq - 66.)))) / (pow((__pyx_v_freq - 66.), (1.4346 * __pyx_v_xi4)) + (1.15 * __pyx_v_xi5)))));

    /* "pycraf/pathprof/cyprop.pyx":3316
 *             log(gamma66) / 8. * (freq - 62.) * (freq - 64.)
 *             )
 *     elif freq <= 120.:             # <<<<<<<<<<<<<<
 * 
 *         xi4 = _phi_helper(r_p, r_t, 1., -0.0112, 0.0092, -0.1033, -0.0009)
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":3333
 *             )
 * 
 *     elif freq <= 350.:             # <<<<<<<<<<<<<<
 * 
 *         delta = _phi_helper(r_p, r_t, -0.00306, 3.211, -14.94, 1.583, -16.37)
 */
  __pyx_t_1 = ((__pyx_v_freq <= 350.) != 0);
  if (__pyx_t_1) {

    /* "pycraf/pathprof/cyprop.pyx":3335
 *     elif freq <= 350.:
 * 
 *         delta = _phi_helper(r_p, r_t, -0.00306, 3.211, -14.94, 1.583, -16.37)             # <<<<<<<<<<<<<<
 * 
 *         atten_dry = delta + freq ** 2 * r_p ** 3.5 * 1.e-3 * (
 */
    __pyx_v_delta = __pyx_f_6pycraf_8pathprof_6cyprop__phi_helper(__pyx_v_r_p, __pyx_v_r_t, -0.00306, 3.211, -14.94, 1.583, -16.37);

    /* "pycraf/pathprof/cyprop.pyx":3337
 *         delta = _phi_helper(r_p, r_t, -0.00306, 3.211, -14.94, 1.583, -16.37)
 * 
 *         atten_dry = delta + freq ** 2 * r_p ** 3.5 * 1.e-3 * (             # <<<<<<<<<<<<<<
 *             3.02e-4 / (1. + 1.9e-5 * freq ** 1.5) +
 *             0.283 * r_t ** 0.3 / (
 */
    __pyx_v_atten_dry = (__pyx_v_delta + (((pow(__pyx_v_freq, 2.0) * pow(__pyx_v_r_p, 3.5)) * 1.e-3) * ((3.02e-4 / (1. + (1.9e-5 * pow(__pyx_v_freq, 1.5)))) + ((0.283 * pow(__pyx_v_r_t, 0.3)) / (pow((__pyx_v_freq - 118.75), 2.0) + ((2.91 * pow(__pyx_v_r_p, 2.0)) * pow(__pyx_v_r_t, 1.6)))))));

    /* "pycraf/pathprof/cyprop.pyx":3333
 *             )
 * 
 *     elif freq <= 350.:             # <<<<<<<<<<<<<<
 * 
 *         delta = _phi_helper(r_p, r_t, -0.00306, 3.211, -14.94, 1.583, -16.37)
 */
    goto __pyx_L3;
  }

  /* "pycraf/pathprof/cyprop.pyx":3346
 * 
 *         # annex2 model only valid up to 350. GHz
 *         atten_dry = NAN             # <<<<<<<<<<<<<<
 * 
 *     eta_1 = 0.955 * r_p * r_t ** 0.68 + 0.006 * rho_water
 */
  /*else*/ {
    __pyx_v_atten_dry = __pyx_v_6pycraf_8pathprof_6cyprop_NAN;
  }
  __pyx_L3:;

  /* "pycraf/pathprof/cyprop.pyx":3348
 *         atten_dry = NAN
 * 
 *     eta_1 = 0.955 * r_p * r_t ** 0.68 + 0.006 * rho_water             # <<<<<<<<<<<<<<
 *     eta_2 = 0.735 * r_p * r_t ** 0.5 + 0.0353 * r_t ** 4 * rho_water
 * 
 */
  __pyx_v_eta_1 = (((0.955 * __pyx_v_r_p) * pow(__pyx_v_r_t, 0.68)) + (0.006 * __pyx_v_rho_water));

  /* "pycraf/pathprof/cyprop.pyx":3349
 * 
 *     eta_1 = 0.955 * r_p * r_t ** 0.68 + 0.006 * rho_water
 *     eta_2 = 0.735 * r_p * r_t ** 0.5 + 0.0353 * r_t ** 4 * rho_water             # <<<<<<<<<<<<<<
 * 
 *     atten_wet = (
 */
  __pyx_v_eta_2 = (((0.735 * __pyx_v_r_p) * pow(__pyx_v_r_t, 0.5)) + ((0.0353 * pow(__pyx_v_r_t, 4.0)) * __pyx_v_rho_water));

  /* "pycraf/pathprof/cyprop.pyx":3359
 *         _eta_helper2(freq, r_t, 17.4, eta_1, 1.46, 448, 0) +
 *         _eta_helper1(freq, r_t, 844.6, eta_1, 0.17, 557, 0) +
 *         _eta_helper1(freq, r_t, 290., eta_1, 0.41, 752, 0) +             # <<<<<<<<<<<<<<
 *         _eta_helper1(freq, r_t, 83328., eta_2, 0.99, 1780, 0)
 *         )
 */
  __pyx_v_atten_wet = ((((((((__pyx_f_6pycraf_8pathprof_6cyprop__eta_helper1(__pyx_v_freq, __pyx_v_r_t, 3.98, __pyx_v_eta_1, 2.23, 22.235, 9.42) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(__pyx_v_freq, __pyx_v_r_t, 11.96, __pyx_v_eta_1, 0.7, 183.31, 11.14)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(__pyx_v_freq, __pyx_v_r_t, 0.081, __pyx_v_eta_1, 6.44, 321.226, 6.29)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(__pyx_v_freq, __pyx_v_r_t, 3.66, __pyx_v_eta_1, 1.6, 325.153, 9.22)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(__pyx_v_freq, __pyx_v_r_t, 25.37, __pyx_v_eta_1, 1.09, 380.0, 0.0)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper2(__pyx_v_freq, __pyx_v_r_t, 17.4, __pyx_v_eta_1, 1.46, 448.0, 0.0)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper1(__pyx_v_freq, __pyx_v_r_t, 844.6, __pyx_v_eta_1, 0.17, 557.0, 0.0)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper1(__pyx_v_freq, __pyx_v_r_t, 290., __pyx_v_eta_1, 0.41, 752.0, 0.0)) + __pyx_f_6pycraf_8pathprof_6cyprop__eta_helper1(__pyx_v_freq, __pyx_v_r_t, 83328., __pyx_v_eta_2, 0.99, 1780.0, 0.0));

  /* "pycraf/pathprof/cyprop.pyx":3363
 *         )
 * 
 *     atten_wet *= freq ** 2 * r_t ** 2.5 * rho_water * 1.e-4             # <<<<<<<<<<<<<<
 * 
 *     return atten_dry, atten_wet
 */
  __pyx_v_atten_wet = (__pyx_v_atten_wet * (((pow(__pyx_v_freq, 2.0) * pow(__pyx_v_r_t, 2.5)) * __pyx_v_rho_water) * 1.e-4));

  /* "pycraf/pathprof/cyprop.pyx":3365
 *     atten_wet *= freq ** 2 * r_t ** 2.5 * rho_water * 1.e-4
 * 
 *     return atten_dry, atten_wet             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2.f0 = __pyx_v_atten_dry;
  __pyx_t_2.f1 = __pyx_v_atten_wet;
  __pyx_r = __pyx_t_2;
  goto __pyx_L0;

  /* "pycraf/pathprof/cyprop.pyx":3242
 * 
 * 
 * cdef (double, double) _specific_attenuation_annex2(             # <<<<<<<<<<<<<<
 *         double freq, double pressure, double rho_water, double temperature
 *         ) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "pycraf/pathprof/cyprop.pyx":3368
 * 
 * 
 * def specific_attenuation_annex2(             # <<<<<<<<<<<<<<
 *         double freq, double pressure, double rho_water, double temperature
 *         ):
 */

/* Python wrapper */
static PyObject *__pyx_pw_6pycraf_8pathprof_6cyprop_25specific_attenuation_annex2(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_6pycraf_8pathprof_6cyprop_24specific_attenuation_annex2[] = "specific_attenuation_annex2(double freq, double pressure, double rho_water, double temperature)\n\n    Calculate specific attenuation using a simplified algorithm\n    (ITU-R P.676-10 Annex 2.1).\n\n    Parameters\n    ----------\n    freq_grid - Frequencies (GHz)\n    pressure - total air pressure (dry + wet) (hPa)\n    rho_water - water vapor density (g / m^3)\n    temperature - temperature (K)\n\n    Returns\n    -------\n    dry_attenuation, wet_attenuation (dB / km)\n    ";
static PyMethodDef __pyx_mdef_6pycraf_8pathprof_6cyprop_25specific_attenuation_annex2 = {"specific_attenuation_annex2", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_6pycraf_8pathprof_6cyprop_25specific_attenuation_annex2, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pycraf_8pathprof_6cyprop_24specific_attenuation_annex2};
static PyObject *__pyx_pw_6pycraf_8pathprof_6cyprop_25specific_attenuation_annex2(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  double __pyx_v_freq;
  double __pyx_v_pressure;
  double __pyx_v_rho_water;
  double __pyx_v_temperature;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("specific_attenuation_annex2 (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_freq,&__pyx_n_s_pressure,&__pyx_n_s_rho_water,&__pyx_n_s_temperature,0};
    PyObject* values[4] = {0,0,0,0};
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 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    }

    /* "View.MemoryView":831
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    __pyx_t_1 = (0 <= __pyx_v_start);
    if (__pyx_t_1) {
      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
    }
    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":832
 *             start += shape
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
 *     else:
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 832, __pyx_L1_error)

      /* "View.MemoryView":831
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    }

    /* "View.MemoryView":827
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":835
 *     else:
 * 
 *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
 * 
 *         if have_step and step == 0:
 */
  /*else*/ {
    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L6_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L6_bool_binop_done:;
    __pyx_v_negative_step = __pyx_t_2;

    /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    __pyx_t_1 = (__pyx_v_have_step != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L9_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L9_bool_binop_done:;
    if (__pyx_t_2) {

      /* "View.MemoryView":838
 * 
 *         if have_step and step == 0:
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 838, __pyx_L1_error)

      /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    }

    /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":843
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":845
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        __pyx_t_2 = (__pyx_v_negative_step != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":848
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L14;
        }

        /* "View.MemoryView":850
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

        /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L12:;

      /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L11;
    }

    /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":853
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L15;
      }

      /* "View.MemoryView":855
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L15:;
    }
    __pyx_L11:;

    /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":859
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
 */
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":861
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L17;
      }

      /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":863
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L17:;

      /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L16;
    }

    /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":866
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L19;
      }

      /* "View.MemoryView":868
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L19:;
    }
    __pyx_L16:;

    /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":871
 * 
 *         if not have_step:
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;

      /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    }

    /* "View.MemoryView":875
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
 */
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":878
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":881
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":884
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
 */
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":885
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
 */
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":886
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
  }
  __pyx_L3:;

  /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":890
 * 
 *     if suboffset_dim[0] < 0:
 *         dst.data += start * stride             # <<<<<<<<<<<<<<
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 */
    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));

    /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
    goto __pyx_L23;
  }

  /* "View.MemoryView":892
 *         dst.data += start * stride
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
 * 
 *     if suboffset >= 0:
 */
  /*else*/ {
    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
  }
  __pyx_L23:;

  /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":897
 *         if not is_slice:
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 */
        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);

        /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
        goto __pyx_L26;
      }

      /* "View.MemoryView":899
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
 *                                      "must be indexed and not sliced", dim)
 *         else:
 */
      /*else*/ {

        /* "View.MemoryView":900
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             suboffset_dim[0] = new_ndim
 */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(1, 899, __pyx_L1_error)
      }
      __pyx_L26:;

      /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
      goto __pyx_L25;
    }

    /* "View.MemoryView":902
 *                                      "must be indexed and not sliced", dim)
 *         else:
 *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    /*else*/ {
      (__pyx_v_suboffset_dim[0]) = __pyx_v_new_ndim;
    }
    __pyx_L25:;

    /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  }

  /* "View.MemoryView":904
 *             suboffset_dim[0] = new_ndim
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":807
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

  /* function exit code */
  __pyx_L1_error:;
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    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
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    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
    #ifdef WITH_THREAD
    __Pyx_PyGILState_Release(__pyx_gilstate_save);
    #endif
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  __pyx_r = -1;
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}

/* "View.MemoryView":910
 * 
 * @cname('__pyx_pybuffer_index')
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,             # <<<<<<<<<<<<<<
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 */

static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_v_suboffset;
  Py_ssize_t __pyx_v_itemsize;
  char *__pyx_v_resultp;
  char *__pyx_r;
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("pybuffer_index", 0);

  /* "View.MemoryView":912
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t itemsize = view.itemsize
 *     cdef char *resultp
 */
  __pyx_v_suboffset = -1L;

  /* "View.MemoryView":913
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
 *     cdef char *resultp
 * 
 */
  __pyx_t_1 = __pyx_v_view->itemsize;
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 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t f_stride = 0
 * 
 */
  __pyx_v_c_stride = 0;

  /* "View.MemoryView":1122
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0
 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_f_stride = 0;

  /* "View.MemoryView":1124
 *     cdef Py_ssize_t f_stride = 0
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1125
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1126
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1127
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
      goto __pyx_L4_break;

      /* "View.MemoryView":1125
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L4_break:;

  /* "View.MemoryView":1129
 *             break
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 */
  __pyx_t_1 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_1;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1131
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1132
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L7_break:;

  /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1135
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
 */
    __pyx_r = 'C';
    goto __pyx_L0;

    /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  }

  /* "View.MemoryView":1137
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
 */
  /*else*/ {
    __pyx_r = 'F';
    goto __pyx_L0;
  }

  /* "View.MemoryView":1116
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
  Py_ssize_t __pyx_v_dst_extent;
  Py_ssize_t __pyx_v_src_stride;
  Py_ssize_t __pyx_v_dst_stride;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "View.MemoryView":1147
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1148
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1149
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1150
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1154
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1155
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));

      /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

    /* "View.MemoryView":1157
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      __pyx_t_5 = __pyx_t_4;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "View.MemoryView":1158
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1159
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1160
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1162
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    __pyx_t_5 = __pyx_t_4;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "View.MemoryView":1163
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1167
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1168
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1173
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
  Py_ssize_t *__pyx_t_4;

  /* "View.MemoryView":1179
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1181
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
 */
  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
    __pyx_t_2 = __pyx_t_4;
    __pyx_v_shape = (__pyx_t_2[0]);

    /* "View.MemoryView":1182
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
  }

  /* "View.MemoryView":1184
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1187
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1197
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;

      /* "View.MemoryView":1198
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 *     else:
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1199
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }

    /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1201
 *             stride *= shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
  /*else*/ {
    for (__pyx_t_2 = (__pyx_v_ndim - 1); __pyx_t_2 > -1; __pyx_t_2-=1) {
      __pyx_v_idx = __pyx_t_2;

      /* "View.MemoryView":1202
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride *= shape[idx]
 * 
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1203
 *         for idx in range(ndim - 1, -1, -1):
 *             strides[idx] = stride
 *             stride *= shape[idx]             # <<<<<<<<<<<<<<
 * 
 *     return stride
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
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  /* "View.MemoryView":1265
 *         raise error(msg.decode('ascii'))
 *     else:
 *         raise error             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_copy_contents')
 */
  /*else*/ {
    __Pyx_Raise(__pyx_v_error, 0, 0, 0);
    __PYX_ERR(1, 1265, __pyx_L1_error)
  }

  /* "View.MemoryView":1261
 * 
 * @cname('__pyx_memoryview_err')
 * cdef int _err(object error, char *msg) except -1 with gil:             # <<<<<<<<<<<<<<
 *     if msg != NULL:
 *         raise error(msg.decode('ascii'))
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_AddTraceback("View.MemoryView._err", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  __Pyx_XDECREF(__pyx_v_error);
  __Pyx_RefNannyFinishContext();
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  return __pyx_r;
}

/* "View.MemoryView":1268
 * 
 * @cname('__pyx_memoryview_copy_contents')
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice dst,
 *                                   int src_ndim, int dst_ndim,
 */

static int __pyx_memoryview_copy_contents(__Pyx_memviewslice __pyx_v_src, __Pyx_memviewslice __pyx_v_dst, int __pyx_v_src_ndim, int __pyx_v_dst_ndim, int __pyx_v_dtype_is_object) {
  void *__pyx_v_tmpdata;
  size_t __pyx_v_itemsize;
  int __pyx_v_i;
  char __pyx_v_order;
  int __pyx_v_broadcasting;
  int __pyx_v_direct_copy;
  __Pyx_memviewslice __pyx_v_tmp;
  int __pyx_v_ndim;
  int __pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;
  void *__pyx_t_7;
  int __pyx_t_8;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "View.MemoryView":1276
 *     Check for overlapping memory and verify the shapes.
 *     """
 *     cdef void *tmpdata = NULL             # <<<<<<<<<<<<<<
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef int i
 */
  __pyx_v_tmpdata = NULL;

  /* "View.MemoryView":1277
 *     """
 *     cdef void *tmpdata = NULL
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)
 */
  __pyx_t_1 = __pyx_v_src.memview->view.itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":1279
 *     cdef size_t itemsize = src.memview.view.itemsize
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)             # <<<<<<<<<<<<<<
 *     cdef bint broadcasting = False
 *     cdef bint direct_copy = False
 */
  __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_src), __pyx_v_src_ndim);

  /* "View.MemoryView":1280
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)
 *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
 *     cdef bint direct_copy = False
 *     cdef __Pyx_memviewslice tmp
 */
  __pyx_v_broadcasting = 0;

  /* "View.MemoryView":1281
 *     cdef char order = get_best_order(&src, src_ndim)
 *     cdef bint broadcasting = False
 *     cdef bint direct_copy = False             # <<<<<<<<<<<<<<
 *     cdef __Pyx_memviewslice tmp
 * 
 */
  __pyx_v_direct_copy = 0;

  /* "View.MemoryView":1284
 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 */
  __pyx_t_2 = ((__pyx_v_src_ndim < __pyx_v_dst_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1285
 * 
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 */
    __pyx_memoryview_broadcast_leading((&__pyx_v_src), __pyx_v_src_ndim, __pyx_v_dst_ndim);

    /* "View.MemoryView":1284
 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1286
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
  __pyx_t_2 = ((__pyx_v_dst_ndim < __pyx_v_src_ndim) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1287
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)
 */
    __pyx_memoryview_broadcast_leading((&__pyx_v_dst), __pyx_v_dst_ndim, __pyx_v_src_ndim);

    /* "View.MemoryView":1286
 *     if src_ndim < dst_ndim:
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
  }
  __pyx_L3:;

  /* "View.MemoryView":1289
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
  __pyx_t_3 = __pyx_v_dst_ndim;
  __pyx_t_4 = __pyx_v_src_ndim;
  if (((__pyx_t_3 > __pyx_t_4) != 0)) {
    __pyx_t_5 = __pyx_t_3;
  } else {
    __pyx_t_5 = __pyx_t_4;
  }
  __pyx_v_ndim = __pyx_t_5;

  /* "View.MemoryView":1291
 *     cdef int ndim = max(src_ndim, dst_ndim)
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 */
  __pyx_t_5 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_5;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1292
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) != (__pyx_v_dst.shape[__pyx_v_i])) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1293
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
      __pyx_t_2 = (((__pyx_v_src.shape[__pyx_v_i]) == 1) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":1294
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:
 *                 broadcasting = True             # <<<<<<<<<<<<<<
 *                 src.strides[i] = 0
 *             else:
 */
        __pyx_v_broadcasting = 1;

        /* "View.MemoryView":1295
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 *                 src.strides[i] = 0             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 */
        (__pyx_v_src.strides[__pyx_v_i]) = 0;

        /* "View.MemoryView":1293
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
 */
        goto __pyx_L7;
      }

      /* "View.MemoryView":1297
 *                 src.strides[i] = 0
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
 * 
 *         if src.suboffsets[i] >= 0:
 */
      /*else*/ {
        __pyx_t_6 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1297, __pyx_L1_error)
      }
      __pyx_L7:;

      /* "View.MemoryView":1292
 * 
 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:             # <<<<<<<<<<<<<<
 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    }

    /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    __pyx_t_2 = (((__pyx_v_src.suboffsets[__pyx_v_i]) >= 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1300
 * 
 *         if src.suboffsets[i] >= 0:
 *             _err_dim(ValueError, "Dimension %d is not direct", i)             # <<<<<<<<<<<<<<
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 */
      __pyx_t_6 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Dimension %d is not direct"), __pyx_v_i); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(1, 1300, __pyx_L1_error)

      /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
    }
  }

  /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  __pyx_t_2 = (__pyx_slices_overlap((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    __pyx_t_2 = ((!(__pyx_memviewslice_is_contig(__pyx_v_src, __pyx_v_order, __pyx_v_ndim) != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1305
 * 
 *         if not slice_is_contig(src, order, ndim):
 *             order = get_best_order(&dst, ndim)             # <<<<<<<<<<<<<<
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 */
      __pyx_v_order = __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim);

      /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
    }

    /* "View.MemoryView":1307
 *             order = get_best_order(&dst, ndim)
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)             # <<<<<<<<<<<<<<
 *         src = tmp
 * 
 */
    __pyx_t_7 = __pyx_memoryview_copy_data_to_temp((&__pyx_v_src), (&__pyx_v_tmp), __pyx_v_order, __pyx_v_ndim); if (unlikely(__pyx_t_7 == ((void *)NULL))) __PYX_ERR(1, 1307, __pyx_L1_error)
    __pyx_v_tmpdata = __pyx_t_7;

    /* "View.MemoryView":1308
 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 *         src = tmp             # <<<<<<<<<<<<<<
 * 
 *     if not broadcasting:
 */
    __pyx_v_src = __pyx_v_tmp;

    /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
  }

  /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = ((!(__pyx_v_broadcasting != 0)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1313
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'C', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1314
 * 
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)             # <<<<<<<<<<<<<<
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'C', __pyx_v_ndim);

      /* "View.MemoryView":1313
 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
      goto __pyx_L12;
    }

    /* "View.MemoryView":1315
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    __pyx_t_2 = (__pyx_memviewslice_is_contig(__pyx_v_src, 'F', __pyx_v_ndim) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1316
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 *             direct_copy = slice_is_contig(dst, 'F', ndim)             # <<<<<<<<<<<<<<
 * 
 *         if direct_copy:
 */
      __pyx_v_direct_copy = __pyx_memviewslice_is_contig(__pyx_v_dst, 'F', __pyx_v_ndim);

      /* "View.MemoryView":1315
 *         if slice_is_contig(src, 'C', ndim):
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
    }
    __pyx_L12:;

    /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_2 = (__pyx_v_direct_copy != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1320
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

      /* "View.MemoryView":1321
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))             # <<<<<<<<<<<<<<
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 */
      (void)(memcpy(__pyx_v_dst.data, __pyx_v_src.data, __pyx_memoryview_slice_get_size((&__pyx_v_src), __pyx_v_ndim)));

      /* "View.MemoryView":1322
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
 */
      __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

      /* "View.MemoryView":1323
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
 */
      free(__pyx_v_tmpdata);

      /* "View.MemoryView":1324
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
 */
      __pyx_r = 0;
      goto __pyx_L0;

      /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    }

    /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_t_2 = (__pyx_v_order == 'F');
  if (__pyx_t_2) {
    __pyx_t_2 = ('F' == __pyx_get_best_slice_order((&__pyx_v_dst), __pyx_v_ndim));
  }
  __pyx_t_8 = (__pyx_t_2 != 0);
  if (__pyx_t_8) {

    /* "View.MemoryView":1329
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1329, __pyx_L1_error)

    /* "View.MemoryView":1330
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(1, 1330, __pyx_L1_error)

    /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1332
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1333
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)             # <<<<<<<<<<<<<<
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 */
  copy_strided_to_strided((&__pyx_v_src), (&__pyx_v_dst), __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1334
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 * 
 *     free(tmpdata)
 */
  __pyx_memoryview_refcount_copying((&__pyx_v_dst), __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1336
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 * 
 *     free(tmpdata)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_tmpdata);

  /* "View.MemoryView":1337
 * 
 *     free(tmpdata)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_memoryview_broadcast_leading')
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":1268
 * 
 * @cname('__pyx_memoryview_copy_contents')
 * cdef int memoryview_copy_contents(__Pyx_memviewslice src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice dst,
 *                                   int src_ndim, int dst_ndim,
 */

  /* function exit code */
  __pyx_L1_error:;
  {
    #ifdef WITH_THREAD
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 * 
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/* "View.MemoryView":1407
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  0, /*tp_getattro*/
  0, /*tp_setattro*/
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  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
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  __pyx_tp_new___Pyx_EnumMeta, /*tp_new*/
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static void __pyx_tp_dealloc_array(PyObject *o) {
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static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
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}

static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
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static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
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static struct PyGetSetDef __pyx_getsets_array[] = {
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static PySequenceMethods __pyx_tp_as_sequence_array = {
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static PyMappingMethods __pyx_tp_as_mapping_array = {
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static PyBufferProcs __pyx_tp_as_buffer_array = {
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  #if PY_MAJOR_VERSION < 3
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  #if PY_MAJOR_VERSION < 3
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  #if PY_MAJOR_VERSION < 3
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static PyTypeObject __pyx_type___pyx_array = {
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  0, /*tp_setattro*/
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static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_Enum(PyObject *o) {
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    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
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}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
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}

static int __pyx_tp_clear_Enum(PyObject *o) {
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}

static PyMethodDef __pyx_methods_Enum[] = {
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  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
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  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
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  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
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  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
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  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
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  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
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  0, /*tp_vectorcall*/
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  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
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static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
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  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
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  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
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  p->_size = Py_None; Py_INCREF(Py_None);
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  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
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  bad:
  Py_DECREF(o); o = 0;
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}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
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  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryview___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
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  if (p->_size) {
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  }
  if (p->_array_interface) {
    e = (*v)(p->_array_interface, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "pycraf.pathprof.cyprop.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryviewslice___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "pycraf.pathprof.cyprop._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Internal class for passing memoryview slices to Python", /*tp_doc*/
  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};

#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_cyprop(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_cyprop},
  {0, NULL}
};
#endif

static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
    "cyprop",
    0, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
    -1, /* m_size */
  #endif
    __pyx_methods /* m_methods */,
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    __pyx_moduledef_slots, /* m_slots */
  #else
    NULL, /* m_reload */
  #endif
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif

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 * def beta_from_DN_N0(             # <<<<<<<<<<<<<<
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 * 
 * 
 * def atten_map_fast_cython(             # <<<<<<<<<<<<<<
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 * 
 * 
 * def atten_path_fast_cython(             # <<<<<<<<<<<<<<
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 * 
 * 
 * def losses_complete_cython(             # <<<<<<<<<<<<<<
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 * 
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 * def specific_attenuation_annex2(             # <<<<<<<<<<<<<<
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 *         ):
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static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
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static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
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static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
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/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
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#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
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#if CYTHON_FAST_PYCALL
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        return NULL;
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    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
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        Py_INCREF(*args);
        fastlocals[i] = *args++;
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#if 1 || PY_VERSION_HEX < 0x030600B1
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#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
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#if PY_MAJOR_VERSION >= 3
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#endif
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            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
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            /* function called with no arguments, but all parameters have
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#endif
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#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
#if PY_MAJOR_VERSION < 3 || CYTHON_USE_PYLONG_INTERNALS
#define __Pyx_PyInt_FloorDivideObjC_ZeroDivisionError(operand)\
    if (unlikely(zerodivision_check && ((operand) == 0))) {\
        PyErr_SetString(PyExc_ZeroDivisionError, "integer division by zero");\
        return NULL;\
    }
#endif
static PyObject* __Pyx_PyInt_FloorDivideObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            __Pyx_PyInt_FloorDivideObjC_ZeroDivisionError(b)
            if (unlikely(b == -1 && ((unsigned long)a) == 0-(unsigned long)a))
                return PyInt_Type.tp_as_number->nb_floor_divide(op1, op2);
            else {
                long q, r;
                q = a / b;
                r = a - q*b;
                q -= ((r != 0) & ((r ^ b) < 0));
                x = q;
            }
            return PyInt_FromLong(x);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_floor_divide(op1, op2);
            }
        }
                __Pyx_PyInt_FloorDivideObjC_ZeroDivisionError(b)
                {
                    long q, r;
                    q = a / b;
                    r = a - q*b;
                    q -= ((r != 0) & ((r ^ b) < 0));
                    x = q;
                }
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                {
                    PY_LONG_LONG q, r;
                    q = lla / llb;
                    r = lla - q*llb;
                    q -= ((r != 0) & ((r ^ llb) < 0));
                    llx = q;
                }
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    return (inplace ? PyNumber_InPlaceFloorDivide : PyNumber_FloorDivide)(op1, op2);
}
#endif

/* MemviewSliceInit */
static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (unlikely(memviewslice->memview || memviewslice->data)) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
#ifndef Py_NO_RETURN
#define Py_NO_RETURN
#endif
static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    va_end(vargs);
    Py_FatalError(msg);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None))
        return;
    if (unlikely(__pyx_get_slice_count(memview) < 0))
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (unlikely(first_time)) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
        memslice->memview = NULL;
        return;
    }
    if (unlikely(__pyx_get_slice_count(memview) <= 0))
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (unlikely(last_time)) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* None */
static void __Pyx_RaiseUnboundMemoryviewSliceNogil(const char *varname) {
    #ifdef WITH_THREAD
    PyGILState_STATE gilstate = PyGILState_Ensure();
    #endif
    __Pyx_RaiseUnboundLocalError(varname);
    #ifdef WITH_THREAD
    PyGILState_Release(gilstate);
    #endif
}

/* WriteUnraisableException */
static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback, CYTHON_UNUSED int nogil) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_PyThreadState_declare
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
#ifdef _MSC_VER
    else state = (PyGILState_STATE)-1;
#endif
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
#if PY_MAJOR_VERSION < 3 || CYTHON_USE_PYLONG_INTERNALS
#define __Pyx_PyInt_TrueDivideObjC_ZeroDivisionError(operand)\
    if (unlikely(zerodivision_check && ((operand) == 0))) {\
        PyErr_SetString(PyExc_ZeroDivisionError, "integer division by zero");\
        return NULL;\
    }
#endif
static PyObject* __Pyx_PyInt_TrueDivideObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
            __Pyx_PyInt_TrueDivideObjC_ZeroDivisionError(b)
            if (8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53))) {
                return PyFloat_FromDouble((double)a / (double)b);
            }
            return PyInt_Type.tp_as_number->nb_true_divide(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            }
        }
                __Pyx_PyInt_TrueDivideObjC_ZeroDivisionError(b)
                if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                        || __Pyx_sst_abs(size) <= 52 / PyLong_SHIFT) {
                    return PyFloat_FromDouble((double)a / (double)b);
                }
                return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            return PyLong_FromLong(x);
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            if (unlikely(zerodivision_check && b == 0)) {
                PyErr_SetString(PyExc_ZeroDivisionError, "float division by zero");
                return NULL;
            }
            PyFPE_START_PROTECT("divide", return NULL)
            result = ((double)a) / (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
}
#endif

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* DictGetItem */
  #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

/* PyIntCompare */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* ExtTypeTest */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

/* IsLittleEndian */
  static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
{
  union {
    uint32_t u32;
    uint8_t u8[4];
  } S;
  S.u32 = 0x01020304;
  return S.u8[0] == 4;
}

/* BufferFormatCheck */
  static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t <= '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case '?': return "'bool'";
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number, ndim;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    ndim = ctx->head->field->type->ndim;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
        CYTHON_FALLTHROUGH;
      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
        CYTHON_FALLTHROUGH;
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}

/* BufferGetAndValidate */
    static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (unlikely(info->buf == NULL)) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}
static void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static int __Pyx__GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  buf->buf = NULL;
  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  if (unlikely(buf->ndim != nd)) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if (unlikely((size_t)buf->itemsize != dtype->size)) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_SafeReleaseBuffer(buf);
  return -1;
}

/* BufferFallbackError */
    static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

/* PyObjectCallNoArg */
    #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* SliceObject */
    static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

/* GetTopmostException */
    #if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
    #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
    #if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
    #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* PyObjectSetAttrStr */
    #if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

/* GetAttr */
    static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* GetAttr3 */
    static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* Import */
    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* ImportFrom */
    static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* HasAttr */
    static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* BytesEquals */
    static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
    static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* decode_c_string */
    static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    if (unlikely(stop <= start))
        return __Pyx_NewRef(__pyx_empty_unicode);
    length = stop - start;
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* SwapException */
    #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* FastTypeChecks */
    #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* PyObject_GenericGetAttrNoDict */
    #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
    #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError */
    static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
}

/* SetupReduce */
    static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* SetVTable */
    static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* TypeImport */
    #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* CalculateMetaclass */
    static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* FetchCommonType */
    static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CythonFunctionShared */
    #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
    static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* Py3ClassCreate */
    static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

/* Globals */
    static PyObject* __Pyx_Globals(void) {
    Py_ssize_t i;
    PyObject *names;
    PyObject *globals = __pyx_d;
    Py_INCREF(globals);
    names = PyObject_Dir(__pyx_m);
    if (!names)
        goto bad;
    for (i = PyList_GET_SIZE(names)-1; i >= 0; i--) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject* name = PySequence_ITEM(names, i);
        if (!name)
            goto bad;
#else
        PyObject* name = PyList_GET_ITEM(names, i);
#endif
        if (!PyDict_Contains(globals, name)) {
            PyObject* value = __Pyx_GetAttr(__pyx_m, name);
            if (!value) {
#if CYTHON_COMPILING_IN_PYPY
                Py_DECREF(name);
#endif
                goto bad;
            }
            if (PyDict_SetItem(globals, name, value) < 0) {
#if CYTHON_COMPILING_IN_PYPY
                Py_DECREF(name);
#endif
                Py_DECREF(value);
                goto bad;
            }
        }
#if CYTHON_COMPILING_IN_PYPY
        Py_DECREF(name);
#endif
    }
    Py_DECREF(names);
    return globals;
bad:
    Py_XDECREF(names);
    Py_XDECREF(globals);
    return NULL;
}

/* CLineInTraceback */
    #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
    static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

/* AddTraceback */
    #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
        else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view);
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


    /* MemviewSliceIsContig */
    static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}

/* OverlappingSlices */
    static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

/* Capsule */
    static CYTHON_INLINE PyObject *
__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
{
    PyObject *cobj;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, NULL);
#else
    cobj = PyCObject_FromVoidPtr(p, NULL);
#endif
    return cobj;
}

/* CIntFromPyVerify */
    #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

static PyObject* __pyx_convert__to_py_struct____pyx_t_6pycraf_8pathprof_6cyprop_ppstruct(struct __pyx_t_6pycraf_8pathprof_6cyprop_ppstruct s) {
      PyObject* res;
      PyObject* member;
      res = __Pyx_PyDict_NewPresized(112); if (unlikely(!res)) return NULL;
      member = __Pyx_PyInt_From_int(s.version); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_version, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.freq); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_freq, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.wavelen); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_wavelen, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.polarization); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_polarization, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.temperature); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_temperature, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.pressure); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_pressure, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.time_percent); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_time_percent, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.beta0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_beta0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.omega); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_omega, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.lon_t); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_lon_t, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.lat_t); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_lat_t, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.lon_r); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_lon_r, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.lat_r); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_lat_r, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.lon_mid); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_lon_mid, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.lat_mid); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_lat_mid, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.delta_N); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_delta_N, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.N0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_N0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.distance); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_distance, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.bearing); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_bearing, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.back_bearing); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_back_bearing, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.hprof_step); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_hprof_step, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.zone_t); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_zone_t, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.zone_r); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_zone_r, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_tg); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_tg, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_rg); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_rg, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_tg_in); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_tg_in, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_rg_in); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_rg_in, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.hn); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_hn, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_ts); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_ts, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_rs); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_rs, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_st); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_st, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_sr); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_sr, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_std); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_std, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_srd); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_srd, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_te); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_te, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_re); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_re, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_lm); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_lm, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_tm); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_tm, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_ct); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_ct, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_cr); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_cr, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.path_type); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_path_type, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.theta_t); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_theta_t, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.theta_r); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_theta_r, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.alpha_tr); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_alpha_tr, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.alpha_rt); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_alpha_rt, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.eps_pt); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_eps_pt, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.eps_pr); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_eps_pr, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.theta); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_theta, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_lt); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_lt, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_lr); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_lr, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_m); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_m, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.duct_slope); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_duct_slope, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.a_e_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_a_e_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.a_e_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_a_e_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.path_type_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_path_type_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_bp_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_bp_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_bp_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_bp_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_eff_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_eff_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_bull_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.nu_bull_idx_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_idx_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tim_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tim_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_rim_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_rim_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tr_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tr_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.path_type_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_path_type_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_bp_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_bp_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_bp_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_bp_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_eff_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_eff_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_bull_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.nu_bull_idx_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_idx_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tim_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tim_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_rim_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_rim_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tr_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tr_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.path_type_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_path_type_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_bp_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_bp_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_bp_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_bp_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_eff_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_eff_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_bull_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.nu_bull_idx_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_idx_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tim_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tim_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_rim_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_rim_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tr_zh_50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tr_zh_50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.path_type_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_path_type_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_bp_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_bp_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_bp_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_bp_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_eff_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_eff_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_bull_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.nu_bull_idx_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_bull_idx_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tim_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tim_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_rim_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_rim_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.S_tr_zh_b0); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_S_tr_zh_b0, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.zeta_m); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_zeta_m, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_m50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_m50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_m50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_m50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.heff_m50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_heff_m50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_m50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_m50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_mbeta); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_mbeta, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.i_m50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_i_m50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.zeta_t); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_zeta_t, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_t50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_t50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_t50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_t50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.heff_t50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_heff_t50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_t50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_t50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_tbeta); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_tbeta, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.i_t50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_i_t50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.zeta_r); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_zeta_r, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.d_r50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_d_r50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.h_r50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_h_r50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.heff_r50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_heff_r50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_r50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_r50, member) < 0)) goto bad;
      Py_DECREF(member);
      member = PyFloat_FromDouble(s.nu_rbeta); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_nu_rbeta, member) < 0)) goto bad;
      Py_DECREF(member);
      member = __Pyx_PyInt_From_int(s.i_r50); if (unlikely(!member)) goto bad;
      if (unlikely(PyDict_SetItem(res, __pyx_n_s_i_r50, member) < 0)) goto bad;
      Py_DECREF(member);
      return res;
      bad:
      Py_XDECREF(member);
      Py_DECREF(res);
      return NULL;
    }
    /* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* ToPyCTupleUtility */
    static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double__and_double(__pyx_ctuple_double__and_double__and_double value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(3);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = PyFloat_FromDouble(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
        item = PyFloat_FromDouble(value.f2);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 2, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* ToPyCTupleUtility */
    static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double__and_double__and_double__and_double(__pyx_ctuple_double__and_double__and_double__and_double__and_double value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(5);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = PyFloat_FromDouble(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
        item = PyFloat_FromDouble(value.f2);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 2, item);
        item = PyFloat_FromDouble(value.f3);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 3, item);
        item = PyFloat_FromDouble(value.f4);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 4, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* ToPyCTupleUtility */
    static PyObject* __pyx_convert__to_py___pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc(__pyx_ctuple_d21d0__double__and_double__and_double__and_double__and_double__and_double__and_double__etc value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(7);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = PyFloat_FromDouble(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
        item = PyFloat_FromDouble(value.f2);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 2, item);
        item = PyFloat_FromDouble(value.f3);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 3, item);
        item = PyFloat_FromDouble(value.f4);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 4, item);
        item = PyFloat_FromDouble(value.f5);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 5, item);
        item = PyFloat_FromDouble(value.f6);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 6, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* MemviewDtypeToObject */
    static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(double *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_double(const char *itemp, PyObject *obj) {
    double value = __pyx_PyFloat_AsDouble(obj);
    if ((value == (double)-1) && PyErr_Occurred())
        return 0;
    *(double *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
    static CYTHON_INLINE PyObject *__pyx_memview_get_int(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_int(*(int *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_int(const char *itemp, PyObject *obj) {
    int value = __Pyx_PyInt_As_int(obj);
    if ((value == (int)-1) && PyErr_Occurred())
        return 0;
    *(int *) itemp = value;
    return 1;
}

/* ToPyCTupleUtility */
    static PyObject* __pyx_convert__to_py___pyx_ctuple_double__and_double(__pyx_ctuple_double__and_double value) {
    PyObject* item = NULL;
    PyObject* result = PyTuple_New(2);
    if (!result) goto bad;
        item = PyFloat_FromDouble(value.f0);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 0, item);
        item = PyFloat_FromDouble(value.f1);
        if (!item) goto bad;
        PyTuple_SET_ITEM(result, 1, item);
    return result;
bad:
    Py_XDECREF(item);
    Py_XDECREF(result);
    return NULL;
}

/* Declarations */
    #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
    #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
    #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
    #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) ((enum NPY_TYPES) 0 - (enum NPY_TYPES) 1), const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

/* MemviewSliceCopyTemplate */
    static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* CIntFromPy */
    static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntFromPy */
    static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
    static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
    const char neg_one = (char) ((char) 0 - (char) 1), const_zero = (char) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(char) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (char) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(char) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(char) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            char val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (char) -1;
        }
    } else {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_As_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to char");
    return (char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to char");
    return (char) -1;
}

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum____pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER value) {
    const enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER neg_one = (enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) ((enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) 0 - (enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) 1), const_zero = (enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum __pyx_t_6pycraf_8pathprof_6cyprop_CLUTTER),
                                     little, !is_unsigned);
    }
}

/* TypeInfoCompare */
    static int
__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
{
    int i;
    if (!a || !b)
        return 0;
    if (a == b)
        return 1;
    if (a->size != b->size || a->typegroup != b->typegroup ||
            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
        if (a->typegroup == 'H' || b->typegroup == 'H') {
            return a->size == b->size;
        } else {
            return 0;
        }
    }
    if (a->ndim) {
        for (i = 0; i < a->ndim; i++)
            if (a->arraysize[i] != b->arraysize[i])
                return 0;
    }
    if (a->typegroup == 'S') {
        if (a->flags != b->flags)
            return 0;
        if (a->fields || b->fields) {
            if (!(a->fields && b->fields))
                return 0;
            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                __Pyx_StructField *field_a = a->fields + i;
                __Pyx_StructField *field_b = b->fields + i;
                if (field_a->offset != field_b->offset ||
                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                    return 0;
            }
            return !a->fields[i].type && !b->fields[i].type;
        }
    }
    return 1;
}

/* MemviewSliceValidateAndInit */
    static int
__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
{
    if (buf->shape[dim] <= 1)
        return 1;
    if (buf->strides) {
        if (spec & __Pyx_MEMVIEW_CONTIG) {
            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                if (unlikely(buf->strides[dim] != sizeof(void *))) {
                    PyErr_Format(PyExc_ValueError,
                                 "Buffer is not indirectly contiguous "
                                 "in dimension %d.", dim);
                    goto fail;
                }
            } else if (unlikely(buf->strides[dim] != buf->itemsize)) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
        if (spec & __Pyx_MEMVIEW_FOLLOW) {
            Py_ssize_t stride = buf->strides[dim];
            if (stride < 0)
                stride = -stride;
            if (unlikely(stride < buf->itemsize)) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
    } else {
        if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not contiguous in "
                         "dimension %d", dim);
            goto fail;
        } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not indirect in "
                         "dimension %d", dim);
            goto fail;
        } else if (unlikely(buf->suboffsets)) {
            PyErr_SetString(PyExc_ValueError,
                            "Buffer exposes suboffsets but no strides");
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
{
    if (spec & __Pyx_MEMVIEW_DIRECT) {
        if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer not compatible with direct access "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    if (spec & __Pyx_MEMVIEW_PTR) {
        if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer is not indirectly accessible "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
{
    int i;
    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = 0; i < ndim; i++) {
            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not fortran contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = ndim - 1; i >- 1; i--) {
            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not C contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    }
    return 1;
fail:
    return 0;
}
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj)
{
    struct __pyx_memoryview_obj *memview, *new_memview;
    __Pyx_RefNannyDeclarations
    Py_buffer *buf;
    int i, spec = 0, retval = -1;
    __Pyx_BufFmt_Context ctx;
    int from_memoryview = __pyx_memoryview_check(original_obj);
    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                            original_obj)->typeinfo)) {
        memview = (struct __pyx_memoryview_obj *) original_obj;
        new_memview = NULL;
    } else {
        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                            original_obj, buf_flags, 0, dtype);
        new_memview = memview;
        if (unlikely(!memview))
            goto fail;
    }
    buf = &memview->view;
    if (unlikely(buf->ndim != ndim)) {
        PyErr_Format(PyExc_ValueError,
                "Buffer has wrong number of dimensions (expected %d, got %d)",
                ndim, buf->ndim);
        goto fail;
    }
    if (new_memview) {
        __Pyx_BufFmt_Init(&ctx, stack, dtype);
        if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;
    }
    if (unlikely((unsigned) buf->itemsize != dtype->size)) {
        PyErr_Format(PyExc_ValueError,
                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                     buf->itemsize,
                     (buf->itemsize > 1) ? "s" : "",
                     dtype->name,
                     dtype->size,
                     (dtype->size > 1) ? "s" : "");
        goto fail;
    }
    if (buf->len > 0) {
        for (i = 0; i < ndim; i++) {
            spec = axes_specs[i];
            if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))
                goto fail;
            if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))
                goto fail;
        }
        if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))
            goto fail;
    }
    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                         new_memview != NULL) == -1)) {
        goto fail;
    }
    retval = 0;
    goto no_fail;
fail:
    Py_XDECREF(new_memview);
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_float64_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_float64_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 3,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsdsds_int(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 3,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_int(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_double(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_double, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
    static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_int(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_int, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CheckBinaryVersion */
    static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* InitStrings */
    static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
