scatt/scattnlay.cc

/* Generated by Cython 0.20.1post0 (Debian 0.20.1+git90-g0e6e38e-1ubuntu2) on Wed Nov 19 14:02:21 2014 */

#define PY_SSIZE_T_CLEAN
#ifndef CYTHON_USE_PYLONG_INTERNALS
#ifdef PYLONG_BITS_IN_DIGIT
#define CYTHON_USE_PYLONG_INTERNALS 0
#else
#include "pyconfig.h"
#ifdef PYLONG_BITS_IN_DIGIT
#define CYTHON_USE_PYLONG_INTERNALS 1
#else
#define CYTHON_USE_PYLONG_INTERNALS 0
#endif
#endif
#endif
#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 < 0x02040000
    #error Cython requires Python 2.4+.
#else
#define CYTHON_ABI "0_20_1post0"
#include <stddef.h> /* For offsetof */
#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
#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_CPYTHON 0
#else
#define CYTHON_COMPILING_IN_PYPY 0
#define CYTHON_COMPILING_IN_CPYTHON 1
#endif
#if CYTHON_COMPILING_IN_PYPY
#define Py_OptimizeFlag 0
#endif
#if PY_VERSION_HEX < 0x02050000
  typedef int Py_ssize_t;
  #define PY_SSIZE_T_MAX INT_MAX
  #define PY_SSIZE_T_MIN INT_MIN
  #define PY_FORMAT_SIZE_T ""
  #define CYTHON_FORMAT_SSIZE_T ""
  #define PyInt_FromSsize_t(z) PyInt_FromLong(z)
  #define PyInt_AsSsize_t(o)   __Pyx_PyInt_As_int(o)
  #define PyNumber_Index(o)    ((PyNumber_Check(o) && !PyFloat_Check(o)) ? PyNumber_Int(o) : \
                                (PyErr_Format(PyExc_TypeError, \
                                              "expected index value, got %.200s", Py_TYPE(o)->tp_name), \
                                 (PyObject*)0))
  #define __Pyx_PyIndex_Check(o) (PyNumber_Check(o) && !PyFloat_Check(o) && \
                                  !PyComplex_Check(o))
  #define PyIndex_Check __Pyx_PyIndex_Check
  #define PyErr_WarnEx(category, message, stacklevel) PyErr_Warn(category, message)
  #define __PYX_BUILD_PY_SSIZE_T "i"
#else
  #define __PYX_BUILD_PY_SSIZE_T "n"
  #define CYTHON_FORMAT_SSIZE_T "z"
  #define __Pyx_PyIndex_Check PyIndex_Check
#endif
#if PY_VERSION_HEX < 0x02060000
  #define Py_REFCNT(ob) (((PyObject*)(ob))->ob_refcnt)
  #define Py_TYPE(ob)   (((PyObject*)(ob))->ob_type)
  #define Py_SIZE(ob)   (((PyVarObject*)(ob))->ob_size)
  #define PyVarObject_HEAD_INIT(type, size) \
          PyObject_HEAD_INIT(type) size,
  #define PyType_Modified(t)
  typedef struct {
     void *buf;
     PyObject *obj;
     Py_ssize_t len;
     Py_ssize_t itemsize;
     int readonly;
     int ndim;
     char *format;
     Py_ssize_t *shape;
     Py_ssize_t *strides;
     Py_ssize_t *suboffsets;
     void *internal;
  } Py_buffer;
  #define PyBUF_SIMPLE 0
  #define PyBUF_WRITABLE 0x0001
  #define PyBUF_FORMAT 0x0004
  #define PyBUF_ND 0x0008
  #define PyBUF_STRIDES (0x0010 | PyBUF_ND)
  #define PyBUF_C_CONTIGUOUS (0x0020 | PyBUF_STRIDES)
  #define PyBUF_F_CONTIGUOUS (0x0040 | PyBUF_STRIDES)
  #define PyBUF_ANY_CONTIGUOUS (0x0080 | PyBUF_STRIDES)
  #define PyBUF_INDIRECT (0x0100 | PyBUF_STRIDES)
  #define PyBUF_RECORDS (PyBUF_STRIDES | PyBUF_FORMAT | PyBUF_WRITABLE)
  #define PyBUF_FULL (PyBUF_INDIRECT | PyBUF_FORMAT | PyBUF_WRITABLE)
  typedef int (*getbufferproc)(PyObject *, Py_buffer *, int);
  typedef void (*releasebufferproc)(PyObject *, Py_buffer *);
#endif
#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"
  #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 PyType_Type
#endif
#if PY_VERSION_HEX < 0x02060000
  #define PyUnicode_FromString(s) PyUnicode_Decode(s, strlen(s), "UTF-8", "strict")
#endif
#if PY_MAJOR_VERSION >= 3
  #define Py_TPFLAGS_CHECKTYPES 0
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#if (PY_VERSION_HEX < 0x02060000) || (PY_MAJOR_VERSION >= 3)
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#if PY_VERSION_HEX < 0x02060000
  #define Py_TPFLAGS_HAVE_VERSION_TAG 0
#endif
#if PY_VERSION_HEX < 0x02060000 && !defined(Py_TPFLAGS_IS_ABSTRACT)
  #define Py_TPFLAGS_IS_ABSTRACT 0
#endif
#if PY_VERSION_HEX < 0x030400a1 && !defined(Py_TPFLAGS_HAVE_FINALIZE)
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#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_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)
#else
  #define CYTHON_PEP393_ENABLED 0
  #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_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]))
#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
#define __Pyx_PyString_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? 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
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#endif
#if PY_VERSION_HEX < 0x02060000
  #define PyBytesObject                PyStringObject
  #define PyBytes_Type                 PyString_Type
  #define PyBytes_Check                PyString_Check
  #define PyBytes_CheckExact           PyString_CheckExact
  #define PyBytes_FromString           PyString_FromString
  #define PyBytes_FromStringAndSize    PyString_FromStringAndSize
  #define PyBytes_FromFormat           PyString_FromFormat
  #define PyBytes_DecodeEscape         PyString_DecodeEscape
  #define PyBytes_AsString             PyString_AsString
  #define PyBytes_AsStringAndSize      PyString_AsStringAndSize
  #define PyBytes_Size                 PyString_Size
  #define PyBytes_AS_STRING            PyString_AS_STRING
  #define PyBytes_GET_SIZE             PyString_GET_SIZE
  #define PyBytes_Repr                 PyString_Repr
  #define PyBytes_Concat               PyString_Concat
  #define PyBytes_ConcatAndDel         PyString_ConcatAndDel
#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_CheckExact(obj) || PyUnicode_CheckExact(obj) || \
                                         PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#if PY_VERSION_HEX < 0x02060000
  #define PySet_Check(obj)             PyObject_TypeCheck(obj, &PySet_Type)
  #define PyFrozenSet_Check(obj)       PyObject_TypeCheck(obj, &PyFrozenSet_Type)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#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_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) || (PY_VERSION_HEX >= 0x03010300)
  #define __Pyx_PySequence_GetSlice(obj, a, b) PySequence_GetSlice(obj, a, b)
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value)
  #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b)
#else
  #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0)))
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
  #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
#endif
#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),((char *)(n)))
#else
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),(n))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),(n))
#endif
#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_NAMESTR(n) ((char *)(n))
  #define __Pyx_DOCSTR(n)  ((char *)(n))
#else
  #define __Pyx_NAMESTR(n) (n)
  #define __Pyx_DOCSTR(n)  (n)
#endif
#ifndef CYTHON_INLINE
  #if 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
#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
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and
   a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is
   a quiet NaN. */
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#ifdef __cplusplus
template<typename T>
void __Pyx_call_destructor(T* x) {
    x->~T();
}
#endif


#if PY_MAJOR_VERSION >= 3
  #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_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#endif

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

#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__scattnlay
#define __PYX_HAVE_API__scattnlay
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "py_nmie.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#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
typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#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 char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE 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_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromUString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromUString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromUString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromUString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromUString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return u_end - u - 1;
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#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_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_COMPILING_IN_CPYTHON
#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 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys = NULL;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    sys = PyImport_ImportModule("sys");
    if (sys == NULL) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    if (default_encoding == NULL) goto bad;
    if (strcmp(PyBytes_AsString(default_encoding), "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        const char* default_encoding_c = PyBytes_AS_STRING(default_encoding);
        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 == NULL) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (ascii_chars_b == NULL || strncmp(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_XDECREF(sys);
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return 0;
bad:
    Py_XDECREF(sys);
    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 = NULL;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (sys == NULL) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    if (default_encoding == NULL) goto bad;
    default_encoding_c = PyBytes_AS_STRING(default_encoding);
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(sys);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(sys);
    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 PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

#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[] = {
  "scattnlay.pyx",
  "__init__.pxd",
  "type.pxd",
};
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name; /* for error messages only */
  struct __Pyx_StructField_* fields;
  size_t size;     /* sizeof(type) */
  size_t arraysize[8]; /* length of array in each dimension */
  int ndim;
  char typegroup; /* _R_eal, _C_omplex, Signed _I_nt, _U_nsigned int, _S_truct, _P_ointer, _O_bject, c_H_ar */
  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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":723
 * # 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":724
 * 
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":725
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":726
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":730
 * #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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":731
 * 
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":732
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":733
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":737
 * #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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":738
 * 
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":747
 * # 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":748
 * # 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":749
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":751
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":752
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":753
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":755
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":756
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":758
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":760
 * 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;
#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

#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


/*--- Type declarations ---*/

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":762
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":763
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":764
 * 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/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":766
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
#ifndef CYTHON_REFNANNY
  #define CYTHON_REFNANNY 0
#endif
#if CYTHON_REFNANNY
  typedef struct {
    void (*INCREF)(void*, PyObject*, int);
    void (*DECREF)(void*, PyObject*, int);
    void (*GOTREF)(void*, PyObject*, int);
    void (*GIVEREF)(void*, PyObject*, int);
    void* (*SetupContext)(const char*, int, const char*);
    void (*FinishContext)(void**);
  } __Pyx_RefNannyAPIStruct;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNanny = NULL;
  static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname); /*proto*/
  #define __Pyx_RefNannyDeclarations void *__pyx_refnanny = NULL;
#ifdef WITH_THREAD
  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
          if (acquire_gil) { \
              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure(); \
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
              PyGILState_Release(__pyx_gilstate_save); \
          } else { \
              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
          }
#else
  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
#endif
  #define __Pyx_RefNannyFinishContext() \
          __Pyx_RefNanny->FinishContext(&__pyx_refnanny)
  #define __Pyx_INCREF(r)  __Pyx_RefNanny->INCREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_DECREF(r)  __Pyx_RefNanny->DECREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_GOTREF(r)  __Pyx_RefNanny->GOTREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_GIVEREF(r) __Pyx_RefNanny->GIVEREF(__pyx_refnanny, (PyObject *)(r), __LINE__)
  #define __Pyx_XINCREF(r)  do { if((r) != NULL) {__Pyx_INCREF(r); }} while(0)
  #define __Pyx_XDECREF(r)  do { if((r) != NULL) {__Pyx_DECREF(r); }} while(0)
  #define __Pyx_XGOTREF(r)  do { if((r) != NULL) {__Pyx_GOTREF(r); }} while(0)
  #define __Pyx_XGIVEREF(r) do { if((r) != NULL) {__Pyx_GIVEREF(r);}} while(0)
#else
  #define __Pyx_RefNannyDeclarations
  #define __Pyx_RefNannySetupContext(name, acquire_gil)
  #define __Pyx_RefNannyFinishContext()
  #define __Pyx_INCREF(r) Py_INCREF(r)
  #define __Pyx_DECREF(r) Py_DECREF(r)
  #define __Pyx_GOTREF(r)
  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
  #define __Pyx_XGIVEREF(r)
#endif /* CYTHON_REFNANNY */
#define __Pyx_XDECREF_SET(r, v) do {                            \
        PyObject *tmp = (PyObject *) r;                         \
        r = v; __Pyx_XDECREF(tmp);                              \
    } while (0)
#define __Pyx_DECREF_SET(r, v) do {                             \
        PyObject *tmp = (PyObject *) r;                         \
        r = v; __Pyx_DECREF(tmp);                               \
    } while (0)
#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(obj, attr_name);
}
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

static PyObject *__Pyx_GetBuiltinName(PyObject *name); /*proto*/

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name); /*proto*/

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw); /*proto*/
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type); /*proto*/

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb); /*proto*/
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb); /*proto*/

static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename,
                                  int full_traceback); /*proto*/

static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found); /*proto*/

static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name); /*proto*/

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args, \
    const char* function_name); /*proto*/

static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact); /*proto*/

static CYTHON_INLINE int  __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

static void __Pyx_RaiseBufferFallbackError(void); /*proto*/

#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) : \
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) : \
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) : \
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) : \
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

static void __Pyx_RaiseBufferIndexError(int axis); /*proto*/

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) : \
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) : \
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause); /*proto*/

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

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;

#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


static Py_ssize_t __Pyx_zeros[] = {0, 0, 0, 0, 0, 0, 0, 0};
static Py_ssize_t __Pyx_minusones[] = {-1, -1, -1, -1, -1, -1, -1, -1};

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

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

#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(_WIN32) || defined(__clang__)) && defined(__cplusplus) && CYTHON_CCOMPLEX
    #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

static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq(a, b)   ((a)==(b))
    #define __Pyx_c_sum(a, b)  ((a)+(b))
    #define __Pyx_c_diff(a, b) ((a)-(b))
    #define __Pyx_c_prod(a, b) ((a)*(b))
    #define __Pyx_c_quot(a, b) ((a)/(b))
    #define __Pyx_c_neg(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero(z) ((z)==(double)0)
    #define __Pyx_c_conj(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (::std::abs(z))
        #define __Pyx_c_pow(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero(z) ((z)==0)
    #define __Pyx_c_conj(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (cabs(z))
        #define __Pyx_c_pow(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eqf(a, b)   ((a)==(b))
    #define __Pyx_c_sumf(a, b)  ((a)+(b))
    #define __Pyx_c_difff(a, b) ((a)-(b))
    #define __Pyx_c_prodf(a, b) ((a)*(b))
    #define __Pyx_c_quotf(a, b) ((a)/(b))
    #define __Pyx_c_negf(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_absf(z)     (::std::abs(z))
        #define __Pyx_c_powf(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zerof(z) ((z)==0)
    #define __Pyx_c_conjf(z)    (conjf(z))
    #if 1
        #define __Pyx_c_absf(z)     (cabsf(z))
        #define __Pyx_c_powf(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

static int __Pyx_check_binary_version(void);

#if !defined(__Pyx_PyIdentifier_FromString)
#if PY_MAJOR_VERSION < 3
  #define __Pyx_PyIdentifier_FromString(s) PyString_FromString(s)
#else
  #define __Pyx_PyIdentifier_FromString(s) PyUnicode_FromString(s)
#endif
#endif

static PyObject *__Pyx_ImportModule(const char *name); /*proto*/

static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);  /*proto*/

typedef struct {
    int code_line;
    PyCodeObject* code_object;
} __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);

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

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


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

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

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

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

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

/* Module declarations from '__builtin__' */

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

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

/* 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*/

/* Module declarations from 'scattnlay' */
static CYTHON_INLINE double *__pyx_f_9scattnlay_npy2c(PyArrayObject *); /*proto*/
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___pyx_t_double_complex = { "double complex", NULL, sizeof(__pyx_t_double_complex), { 0 }, 0, 'C', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int_t = { "int_t", NULL, sizeof(__pyx_t_5numpy_int_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int_t), 0 };
#define __Pyx_MODULE_NAME "scattnlay"
int __pyx_module_is_main_scattnlay = 0;

/* Implementation of 'scattnlay' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_pf_9scattnlay_scattnlay(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_m, PyArrayObject *__pyx_v_theta, Py_ssize_t __pyx_v_pl, Py_ssize_t __pyx_v_n_max); /* proto */
static PyObject *__pyx_pf_9scattnlay_2fieldnlay(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_m, PyArrayObject *__pyx_v_coords, Py_ssize_t __pyx_v_pl, Py_ssize_t __pyx_v_n_max); /* 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 char __pyx_k_B[] = "B";
static char __pyx_k_C[] = "C";
static char __pyx_k_E[] = "E";
static char __pyx_k_H[] = "H";
static char __pyx_k_I[] = "I";
static char __pyx_k_L[] = "L";
static char __pyx_k_O[] = "O";
static char __pyx_k_Q[] = "Q";
static char __pyx_k_b[] = "b";
static char __pyx_k_d[] = "d";
static char __pyx_k_f[] = "f";
static char __pyx_k_g[] = "g";
static char __pyx_k_h[] = "h";
static char __pyx_k_i[] = "i";
static char __pyx_k_l[] = "l";
static char __pyx_k_m[] = "m";
static char __pyx_k_q[] = "q";
static char __pyx_k_x[] = "x";
static char __pyx_k_Ei[] = "Ei";
static char __pyx_k_Er[] = "Er";
static char __pyx_k_Hi[] = "Hi";
static char __pyx_k_Hr[] = "Hr";
static char __pyx_k_S1[] = "S1";
static char __pyx_k_S2[] = "S2";
static char __pyx_k_Zd[] = "Zd";
static char __pyx_k_Zf[] = "Zf";
static char __pyx_k_Zg[] = "Zg";
static char __pyx_k_np[] = "np";
static char __pyx_k_pl[] = "pl";
static char __pyx_k_Qbk[] = "Qbk";
static char __pyx_k_Qpr[] = "Qpr";
static char __pyx_k_S1i[] = "S1i";
static char __pyx_k_S1r[] = "S1r";
static char __pyx_k_S2i[] = "S2i";
static char __pyx_k_S2r[] = "S2r";
static char __pyx_k_int[] = "int";
static char __pyx_k_Qabs[] = "Qabs";
static char __pyx_k_Qext[] = "Qext";
static char __pyx_k_Qsca[] = "Qsca";
static char __pyx_k_copy[] = "copy";
static char __pyx_k_imag[] = "imag";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_real[] = "real";
static char __pyx_k_test[] = "__test__";
static char __pyx_k_dtype[] = "dtype";
static char __pyx_k_flags[] = "flags";
static char __pyx_k_n_max[] = "n_max";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_range[] = "range";
static char __pyx_k_terms[] = "terms";
static char __pyx_k_theta[] = "theta";
static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_Albedo[] = "Albedo";
static char __pyx_k_coords[] = "coords";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_float64[] = "float64";
static char __pyx_k_fieldnlay[] = "fieldnlay";
static char __pyx_k_scattnlay[] = "scattnlay";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_complex128[] = "complex128";
static char __pyx_k_C_CONTIGUOUS[] = "C_CONTIGUOUS";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static char __pyx_k_pyx_releasebuffer[] = "__pyx_releasebuffer";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static char __pyx_k_home_ovidio_scattering_scattnla[] = "/home/ovidio/scattering/scattnlay/python-scattnlay-0.3.0/scattnlay.pyx";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_n_s_Albedo;
static PyObject *__pyx_n_s_C;
static PyObject *__pyx_n_s_C_CONTIGUOUS;
static PyObject *__pyx_n_s_E;
static PyObject *__pyx_n_s_Ei;
static PyObject *__pyx_n_s_Er;
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_H;
static PyObject *__pyx_n_s_Hi;
static PyObject *__pyx_n_s_Hr;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_Qabs;
static PyObject *__pyx_n_s_Qbk;
static PyObject *__pyx_n_s_Qext;
static PyObject *__pyx_n_s_Qpr;
static PyObject *__pyx_n_s_Qsca;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_S1;
static PyObject *__pyx_n_s_S1i;
static PyObject *__pyx_n_s_S1r;
static PyObject *__pyx_n_s_S2;
static PyObject *__pyx_n_s_S2i;
static PyObject *__pyx_n_s_S2r;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_complex128;
static PyObject *__pyx_n_s_coords;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_fieldnlay;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_g;
static PyObject *__pyx_kp_s_home_ovidio_scattering_scattnla;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_imag;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_int;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_n_max;
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_np;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_pl;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_releasebuffer;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_real;
static PyObject *__pyx_n_s_scattnlay;
static PyObject *__pyx_n_s_terms;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_theta;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyArrayObject *__pyx_k__2;
static PyArrayObject *__pyx_k__10;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__3;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_slice__14;
static PyObject *__pyx_slice__16;
static PyObject *__pyx_slice__18;
static PyObject *__pyx_tuple__11;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__13;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__17;
static PyObject *__pyx_tuple__19;
static PyObject *__pyx_tuple__20;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__22;
static PyObject *__pyx_tuple__23;
static PyObject *__pyx_tuple__24;
static PyObject *__pyx_tuple__25;
static PyObject *__pyx_tuple__26;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__28;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__30;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__34;
static PyObject *__pyx_tuple__35;
static PyObject *__pyx_codeobj__32;
static PyObject *__pyx_codeobj__36;

/* "scattnlay.pyx":29
 * cimport numpy as np
 * 
 * cdef inline double *npy2c(np.ndarray a):             # <<<<<<<<<<<<<<
 *     assert a.dtype == np.float64
 * 
 */

static CYTHON_INLINE double *__pyx_f_9scattnlay_npy2c(PyArrayObject *__pyx_v_a) {
  double *__pyx_r;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("npy2c", 0);
  __Pyx_INCREF((PyObject *)__pyx_v_a);

  /* "scattnlay.pyx":30
 * 
 * cdef inline double *npy2c(np.ndarray a):
 *     assert a.dtype == np.float64             # <<<<<<<<<<<<<<
 * 
 *     if not (<object>a).flags["C_CONTIGUOUS"]: # Array is not contiguous, need to make contiguous copy
 */
  #ifndef CYTHON_WITHOUT_ASSERTIONS
  if (unlikely(!Py_OptimizeFlag)) {
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_a), __pyx_n_s_dtype); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_float64); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyObject_RichCompare(__pyx_t_1, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_2); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_2); if (unlikely(__pyx_t_4 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (unlikely(!__pyx_t_4)) {
      PyErr_SetNone(PyExc_AssertionError);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 30; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
  }
  #endif

  /* "scattnlay.pyx":32
 *     assert a.dtype == np.float64
 * 
 *     if not (<object>a).flags["C_CONTIGUOUS"]: # Array is not contiguous, need to make contiguous copy             # <<<<<<<<<<<<<<
 *         a = a.copy('C')
 * 
 */
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_a), __pyx_n_s_flags); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 32; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyObject_GetItem(__pyx_t_2, __pyx_n_s_C_CONTIGUOUS); if (unlikely(__pyx_t_3 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 32; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_4 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_4 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 32; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_5 = ((!__pyx_t_4) != 0);
  if (__pyx_t_5) {

    /* "scattnlay.pyx":33
 * 
 *     if not (<object>a).flags["C_CONTIGUOUS"]: # Array is not contiguous, need to make contiguous copy
 *         a = a.copy('C')             # <<<<<<<<<<<<<<
 * 
 *     # Return data pointer
 */
    __pyx_t_3 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_a), __pyx_n_s_copy); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 33; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_tuple_, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 33; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 33; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF_SET(__pyx_v_a, ((PyArrayObject *)__pyx_t_2));
    __pyx_t_2 = 0;
    goto __pyx_L3;
  }
  __pyx_L3:;

  /* "scattnlay.pyx":36
 * 
 *     # Return data pointer
 *     return <double *>(a.data)             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "py_nmie.h":
 */
  __pyx_r = ((double *)__pyx_v_a->data);
  goto __pyx_L0;

  /* "scattnlay.pyx":29
 * cimport numpy as np
 * 
 * cdef inline double *npy2c(np.ndarray a):             # <<<<<<<<<<<<<<
 *     assert a.dtype == np.float64
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_WriteUnraisable("scattnlay.npy2c", __pyx_clineno, __pyx_lineno, __pyx_filename, 0);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_a);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "scattnlay.pyx":42
 *     int nfMieField(int L, int pl, double x[], double mr[], double mi[], int n_max, int nCoords, double Xp[], double Yp[], double Zp[], double Er[], double Ei[], double Hr[], double Hi[])
 * 
 * def scattnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 1] theta = np.zeros(0, dtype = np.float64), Py_ssize_t pl = -1, Py_ssize_t n_max = -1):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9scattnlay_1scattnlay(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static PyMethodDef __pyx_mdef_9scattnlay_1scattnlay = {__Pyx_NAMESTR("scattnlay"), (PyCFunction)__pyx_pw_9scattnlay_1scattnlay, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)};
static PyObject *__pyx_pw_9scattnlay_1scattnlay(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyArrayObject *__pyx_v_x = 0;
  PyArrayObject *__pyx_v_m = 0;
  PyArrayObject *__pyx_v_theta = 0;
  Py_ssize_t __pyx_v_pl;
  Py_ssize_t __pyx_v_n_max;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("scattnlay (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_x,&__pyx_n_s_m,&__pyx_n_s_theta,&__pyx_n_s_pl,&__pyx_n_s_n_max,0};
    PyObject* values[5] = {0,0,0,0,0};
    values[2] = (PyObject *)__pyx_k__2;
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_x)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_m)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("scattnlay", 0, 2, 5, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
        }
        case  2:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_theta);
          if (value) { values[2] = value; kw_args--; }
        }
        case  3:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_pl);
          if (value) { values[3] = value; kw_args--; }
        }
        case  4:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_n_max);
          if (value) { values[4] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "scattnlay") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_x = ((PyArrayObject *)values[0]);
    __pyx_v_m = ((PyArrayObject *)values[1]);
    __pyx_v_theta = ((PyArrayObject *)values[2]);
    if (values[3]) {
      __pyx_v_pl = __Pyx_PyIndex_AsSsize_t(values[3]); if (unlikely((__pyx_v_pl == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_pl = ((Py_ssize_t)-1);
    }
    if (values[4]) {
      __pyx_v_n_max = __Pyx_PyIndex_AsSsize_t(values[4]); if (unlikely((__pyx_v_n_max == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_n_max = ((Py_ssize_t)-1);
    }
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("scattnlay", 0, 2, 5, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("scattnlay.scattnlay", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_x), __pyx_ptype_5numpy_ndarray, 1, "x", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_m), __pyx_ptype_5numpy_ndarray, 1, "m", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_theta), __pyx_ptype_5numpy_ndarray, 1, "theta", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_r = __pyx_pf_9scattnlay_scattnlay(__pyx_self, __pyx_v_x, __pyx_v_m, __pyx_v_theta, __pyx_v_pl, __pyx_v_n_max);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9scattnlay_scattnlay(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_m, PyArrayObject *__pyx_v_theta, Py_ssize_t __pyx_v_pl, Py_ssize_t __pyx_v_n_max) {
  Py_ssize_t __pyx_v_i;
  PyArrayObject *__pyx_v_terms = 0;
  PyArrayObject *__pyx_v_Qext = 0;
  PyArrayObject *__pyx_v_Qabs = 0;
  PyArrayObject *__pyx_v_Qsca = 0;
  PyArrayObject *__pyx_v_Qbk = 0;
  PyArrayObject *__pyx_v_Qpr = 0;
  PyArrayObject *__pyx_v_g = 0;
  PyArrayObject *__pyx_v_Albedo = 0;
  PyArrayObject *__pyx_v_S1 = 0;
  PyArrayObject *__pyx_v_S2 = 0;
  PyArrayObject *__pyx_v_S1r = 0;
  PyArrayObject *__pyx_v_S1i = 0;
  PyArrayObject *__pyx_v_S2r = 0;
  PyArrayObject *__pyx_v_S2i = 0;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Albedo;
  __Pyx_Buffer __pyx_pybuffer_Albedo;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Qabs;
  __Pyx_Buffer __pyx_pybuffer_Qabs;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Qbk;
  __Pyx_Buffer __pyx_pybuffer_Qbk;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Qext;
  __Pyx_Buffer __pyx_pybuffer_Qext;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Qpr;
  __Pyx_Buffer __pyx_pybuffer_Qpr;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Qsca;
  __Pyx_Buffer __pyx_pybuffer_Qsca;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_S1;
  __Pyx_Buffer __pyx_pybuffer_S1;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_S1i;
  __Pyx_Buffer __pyx_pybuffer_S1i;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_S1r;
  __Pyx_Buffer __pyx_pybuffer_S1r;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_S2;
  __Pyx_Buffer __pyx_pybuffer_S2;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_S2i;
  __Pyx_Buffer __pyx_pybuffer_S2i;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_S2r;
  __Pyx_Buffer __pyx_pybuffer_S2r;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_g;
  __Pyx_Buffer __pyx_pybuffer_g;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_m;
  __Pyx_Buffer __pyx_pybuffer_m;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_terms;
  __Pyx_Buffer __pyx_pybuffer_terms;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_theta;
  __Pyx_Buffer __pyx_pybuffer_theta;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_x;
  __Pyx_Buffer __pyx_pybuffer_x;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyArrayObject *__pyx_t_6 = NULL;
  PyArrayObject *__pyx_t_7 = NULL;
  PyArrayObject *__pyx_t_8 = NULL;
  PyArrayObject *__pyx_t_9 = NULL;
  PyArrayObject *__pyx_t_10 = NULL;
  PyArrayObject *__pyx_t_11 = NULL;
  PyArrayObject *__pyx_t_12 = NULL;
  PyArrayObject *__pyx_t_13 = NULL;
  PyArrayObject *__pyx_t_14 = NULL;
  PyArrayObject *__pyx_t_15 = NULL;
  npy_intp __pyx_t_16;
  Py_ssize_t __pyx_t_17;
  PyArrayObject *__pyx_t_18 = NULL;
  int __pyx_t_19;
  PyObject *__pyx_t_20 = NULL;
  PyObject *__pyx_t_21 = NULL;
  PyObject *__pyx_t_22 = NULL;
  PyArrayObject *__pyx_t_23 = NULL;
  PyArrayObject *__pyx_t_24 = NULL;
  PyArrayObject *__pyx_t_25 = NULL;
  Py_ssize_t __pyx_t_26;
  Py_ssize_t __pyx_t_27;
  Py_ssize_t __pyx_t_28;
  Py_ssize_t __pyx_t_29;
  Py_ssize_t __pyx_t_30;
  Py_ssize_t __pyx_t_31;
  Py_ssize_t __pyx_t_32;
  Py_ssize_t __pyx_t_33;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("scattnlay", 0);
  __pyx_pybuffer_terms.pybuffer.buf = NULL;
  __pyx_pybuffer_terms.refcount = 0;
  __pyx_pybuffernd_terms.data = NULL;
  __pyx_pybuffernd_terms.rcbuffer = &__pyx_pybuffer_terms;
  __pyx_pybuffer_Qext.pybuffer.buf = NULL;
  __pyx_pybuffer_Qext.refcount = 0;
  __pyx_pybuffernd_Qext.data = NULL;
  __pyx_pybuffernd_Qext.rcbuffer = &__pyx_pybuffer_Qext;
  __pyx_pybuffer_Qabs.pybuffer.buf = NULL;
  __pyx_pybuffer_Qabs.refcount = 0;
  __pyx_pybuffernd_Qabs.data = NULL;
  __pyx_pybuffernd_Qabs.rcbuffer = &__pyx_pybuffer_Qabs;
  __pyx_pybuffer_Qsca.pybuffer.buf = NULL;
  __pyx_pybuffer_Qsca.refcount = 0;
  __pyx_pybuffernd_Qsca.data = NULL;
  __pyx_pybuffernd_Qsca.rcbuffer = &__pyx_pybuffer_Qsca;
  __pyx_pybuffer_Qbk.pybuffer.buf = NULL;
  __pyx_pybuffer_Qbk.refcount = 0;
  __pyx_pybuffernd_Qbk.data = NULL;
  __pyx_pybuffernd_Qbk.rcbuffer = &__pyx_pybuffer_Qbk;
  __pyx_pybuffer_Qpr.pybuffer.buf = NULL;
  __pyx_pybuffer_Qpr.refcount = 0;
  __pyx_pybuffernd_Qpr.data = NULL;
  __pyx_pybuffernd_Qpr.rcbuffer = &__pyx_pybuffer_Qpr;
  __pyx_pybuffer_g.pybuffer.buf = NULL;
  __pyx_pybuffer_g.refcount = 0;
  __pyx_pybuffernd_g.data = NULL;
  __pyx_pybuffernd_g.rcbuffer = &__pyx_pybuffer_g;
  __pyx_pybuffer_Albedo.pybuffer.buf = NULL;
  __pyx_pybuffer_Albedo.refcount = 0;
  __pyx_pybuffernd_Albedo.data = NULL;
  __pyx_pybuffernd_Albedo.rcbuffer = &__pyx_pybuffer_Albedo;
  __pyx_pybuffer_S1.pybuffer.buf = NULL;
  __pyx_pybuffer_S1.refcount = 0;
  __pyx_pybuffernd_S1.data = NULL;
  __pyx_pybuffernd_S1.rcbuffer = &__pyx_pybuffer_S1;
  __pyx_pybuffer_S2.pybuffer.buf = NULL;
  __pyx_pybuffer_S2.refcount = 0;
  __pyx_pybuffernd_S2.data = NULL;
  __pyx_pybuffernd_S2.rcbuffer = &__pyx_pybuffer_S2;
  __pyx_pybuffer_S1r.pybuffer.buf = NULL;
  __pyx_pybuffer_S1r.refcount = 0;
  __pyx_pybuffernd_S1r.data = NULL;
  __pyx_pybuffernd_S1r.rcbuffer = &__pyx_pybuffer_S1r;
  __pyx_pybuffer_S1i.pybuffer.buf = NULL;
  __pyx_pybuffer_S1i.refcount = 0;
  __pyx_pybuffernd_S1i.data = NULL;
  __pyx_pybuffernd_S1i.rcbuffer = &__pyx_pybuffer_S1i;
  __pyx_pybuffer_S2r.pybuffer.buf = NULL;
  __pyx_pybuffer_S2r.refcount = 0;
  __pyx_pybuffernd_S2r.data = NULL;
  __pyx_pybuffernd_S2r.rcbuffer = &__pyx_pybuffer_S2r;
  __pyx_pybuffer_S2i.pybuffer.buf = NULL;
  __pyx_pybuffer_S2i.refcount = 0;
  __pyx_pybuffernd_S2i.data = NULL;
  __pyx_pybuffernd_S2i.rcbuffer = &__pyx_pybuffer_S2i;
  __pyx_pybuffer_x.pybuffer.buf = NULL;
  __pyx_pybuffer_x.refcount = 0;
  __pyx_pybuffernd_x.data = NULL;
  __pyx_pybuffernd_x.rcbuffer = &__pyx_pybuffer_x;
  __pyx_pybuffer_m.pybuffer.buf = NULL;
  __pyx_pybuffer_m.refcount = 0;
  __pyx_pybuffernd_m.data = NULL;
  __pyx_pybuffernd_m.rcbuffer = &__pyx_pybuffer_m;
  __pyx_pybuffer_theta.pybuffer.buf = NULL;
  __pyx_pybuffer_theta.refcount = 0;
  __pyx_pybuffernd_theta.data = NULL;
  __pyx_pybuffernd_theta.rcbuffer = &__pyx_pybuffer_theta;
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_x.rcbuffer->pybuffer, (PyObject*)__pyx_v_x, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_pybuffernd_x.diminfo[0].strides = __pyx_pybuffernd_x.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_x.diminfo[0].shape = __pyx_pybuffernd_x.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_x.diminfo[1].strides = __pyx_pybuffernd_x.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_x.diminfo[1].shape = __pyx_pybuffernd_x.rcbuffer->pybuffer.shape[1];
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_m.rcbuffer->pybuffer, (PyObject*)__pyx_v_m, &__Pyx_TypeInfo___pyx_t_double_complex, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_pybuffernd_m.diminfo[0].strides = __pyx_pybuffernd_m.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_m.diminfo[0].shape = __pyx_pybuffernd_m.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_m.diminfo[1].strides = __pyx_pybuffernd_m.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_m.diminfo[1].shape = __pyx_pybuffernd_m.rcbuffer->pybuffer.shape[1];
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_theta.rcbuffer->pybuffer, (PyObject*)__pyx_v_theta, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_pybuffernd_theta.diminfo[0].strides = __pyx_pybuffernd_theta.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_theta.diminfo[0].shape = __pyx_pybuffernd_theta.rcbuffer->pybuffer.shape[0];

  /* "scattnlay.pyx":45
 *     cdef Py_ssize_t i
 * 
 *     cdef np.ndarray[np.int_t, ndim = 1] terms = np.zeros(x.shape[0], dtype = np.int)             # <<<<<<<<<<<<<<
 * 
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qext = np.zeros(x.shape[0], dtype = np.float64)
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;
  __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_int); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_6 = ((PyArrayObject *)__pyx_t_5);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_terms.rcbuffer->pybuffer, (PyObject*)__pyx_t_6, &__Pyx_TypeInfo_nn___pyx_t_5numpy_int_t, PyBUF_FORMAT| PyBUF_STRIDES| PyBUF_WRITABLE, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_terms = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_terms.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 45; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_terms.diminfo[0].strides = __pyx_pybuffernd_terms.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_terms.diminfo[0].shape = __pyx_pybuffernd_terms.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_6 = 0;
  __pyx_v_terms = ((PyArrayObject *)__pyx_t_5);
  __pyx_t_5 = 0;

  /* "scattnlay.pyx":47
 *     cdef np.ndarray[np.int_t, ndim = 1] terms = np.zeros(x.shape[0], dtype = np.int)
 * 
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qext = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qabs = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qsca = np.zeros(x.shape[0], dtype = np.float64)
 */
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_zeros); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_5);
  __pyx_t_5 = 0;
  __pyx_t_5 = PyDict_New(); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_float64); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_dtype, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_7 = ((PyArrayObject *)__pyx_t_4);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Qext.rcbuffer->pybuffer, (PyObject*)__pyx_t_7, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_Qext = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_Qext.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_Qext.diminfo[0].strides = __pyx_pybuffernd_Qext.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Qext.diminfo[0].shape = __pyx_pybuffernd_Qext.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_7 = 0;
  __pyx_v_Qext = ((PyArrayObject *)__pyx_t_4);
  __pyx_t_4 = 0;

  /* "scattnlay.pyx":48
 * 
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qext = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qabs = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qsca = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qbk = np.zeros(x.shape[0], dtype = np.float64)
 */
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_zeros); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_4);
  __pyx_t_4 = 0;
  __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_float64); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (PyDict_SetItem(__pyx_t_4, __pyx_n_s_dtype, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_8 = ((PyArrayObject *)__pyx_t_2);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Qabs.rcbuffer->pybuffer, (PyObject*)__pyx_t_8, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_Qabs = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_Qabs.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 48; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_Qabs.diminfo[0].strides = __pyx_pybuffernd_Qabs.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Qabs.diminfo[0].shape = __pyx_pybuffernd_Qabs.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_8 = 0;
  __pyx_v_Qabs = ((PyArrayObject *)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "scattnlay.pyx":49
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qext = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qabs = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qsca = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qbk = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qpr = np.zeros(x.shape[0], dtype = np.float64)
 */
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_zeros); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_2);
  __pyx_t_2 = 0;
  __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_float64); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_dtype, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_9 = ((PyArrayObject *)__pyx_t_1);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Qsca.rcbuffer->pybuffer, (PyObject*)__pyx_t_9, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_Qsca = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_Qsca.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 49; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_Qsca.diminfo[0].strides = __pyx_pybuffernd_Qsca.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Qsca.diminfo[0].shape = __pyx_pybuffernd_Qsca.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_9 = 0;
  __pyx_v_Qsca = ((PyArrayObject *)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "scattnlay.pyx":50
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qabs = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qsca = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qbk = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qpr = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] g = np.zeros(x.shape[0], dtype = np.float64)
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;
  __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_float64); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_10 = ((PyArrayObject *)__pyx_t_5);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Qbk.rcbuffer->pybuffer, (PyObject*)__pyx_t_10, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_Qbk = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_Qbk.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 50; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_Qbk.diminfo[0].strides = __pyx_pybuffernd_Qbk.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Qbk.diminfo[0].shape = __pyx_pybuffernd_Qbk.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_10 = 0;
  __pyx_v_Qbk = ((PyArrayObject *)__pyx_t_5);
  __pyx_t_5 = 0;

  /* "scattnlay.pyx":51
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qsca = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qbk = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qpr = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.float64_t, ndim = 1] g = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Albedo = np.zeros(x.shape[0], dtype = np.float64)
 */
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_zeros); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_5);
  __pyx_t_5 = 0;
  __pyx_t_5 = PyDict_New(); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_float64); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_dtype, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_11 = ((PyArrayObject *)__pyx_t_4);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Qpr.rcbuffer->pybuffer, (PyObject*)__pyx_t_11, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_Qpr = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_Qpr.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 51; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_Qpr.diminfo[0].strides = __pyx_pybuffernd_Qpr.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Qpr.diminfo[0].shape = __pyx_pybuffernd_Qpr.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_11 = 0;
  __pyx_v_Qpr = ((PyArrayObject *)__pyx_t_4);
  __pyx_t_4 = 0;

  /* "scattnlay.pyx":52
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qbk = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qpr = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] g = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.float64_t, ndim = 1] Albedo = np.zeros(x.shape[0], dtype = np.float64)
 * 
 */
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_zeros); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_4);
  __pyx_t_4 = 0;
  __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_float64); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (PyDict_SetItem(__pyx_t_4, __pyx_n_s_dtype, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_12 = ((PyArrayObject *)__pyx_t_2);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_g.rcbuffer->pybuffer, (PyObject*)__pyx_t_12, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_g = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_g.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 52; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_g.diminfo[0].strides = __pyx_pybuffernd_g.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_g.diminfo[0].shape = __pyx_pybuffernd_g.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_12 = 0;
  __pyx_v_g = ((PyArrayObject *)__pyx_t_2);
  __pyx_t_2 = 0;

  /* "scattnlay.pyx":53
 *     cdef np.ndarray[np.float64_t, ndim = 1] Qpr = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] g = np.zeros(x.shape[0], dtype = np.float64)
 *     cdef np.ndarray[np.float64_t, ndim = 1] Albedo = np.zeros(x.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 * 
 *     cdef np.ndarray[np.complex128_t, ndim = 2] S1 = np.zeros((x.shape[0], theta.shape[0]), dtype = np.complex128)
 */
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_zeros); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __pyx_t_2 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_2);
  __pyx_t_2 = 0;
  __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_float64); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_dtype, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_13 = ((PyArrayObject *)__pyx_t_1);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Albedo.rcbuffer->pybuffer, (PyObject*)__pyx_t_13, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_Albedo = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_Albedo.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 53; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_Albedo.diminfo[0].strides = __pyx_pybuffernd_Albedo.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Albedo.diminfo[0].shape = __pyx_pybuffernd_Albedo.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_13 = 0;
  __pyx_v_Albedo = ((PyArrayObject *)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "scattnlay.pyx":55
 *     cdef np.ndarray[np.float64_t, ndim = 1] Albedo = np.zeros(x.shape[0], dtype = np.float64)
 * 
 *     cdef np.ndarray[np.complex128_t, ndim = 2] S1 = np.zeros((x.shape[0], theta.shape[0]), dtype = np.complex128)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.complex128_t, ndim = 2] S2 = np.zeros((x.shape[0], theta.shape[0]), dtype = np.complex128)
 * 
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_theta->dimensions[0])); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = PyTuple_New(2); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_4, 1, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_3);
  __pyx_t_1 = 0;
  __pyx_t_3 = 0;
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_4);
  __pyx_t_4 = 0;
  __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_complex128); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (PyDict_SetItem(__pyx_t_4, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_14 = ((PyArrayObject *)__pyx_t_5);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S1.rcbuffer->pybuffer, (PyObject*)__pyx_t_14, &__Pyx_TypeInfo___pyx_t_double_complex, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {
      __pyx_v_S1 = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_S1.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 55; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_S1.diminfo[0].strides = __pyx_pybuffernd_S1.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_S1.diminfo[0].shape = __pyx_pybuffernd_S1.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_S1.diminfo[1].strides = __pyx_pybuffernd_S1.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_S1.diminfo[1].shape = __pyx_pybuffernd_S1.rcbuffer->pybuffer.shape[1];
    }
  }
  __pyx_t_14 = 0;
  __pyx_v_S1 = ((PyArrayObject *)__pyx_t_5);
  __pyx_t_5 = 0;

  /* "scattnlay.pyx":56
 * 
 *     cdef np.ndarray[np.complex128_t, ndim = 2] S1 = np.zeros((x.shape[0], theta.shape[0]), dtype = np.complex128)
 *     cdef np.ndarray[np.complex128_t, ndim = 2] S2 = np.zeros((x.shape[0], theta.shape[0]), dtype = np.complex128)             # <<<<<<<<<<<<<<
 * 
 *     cdef np.ndarray[np.float64_t, ndim = 1] S1r
 */
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_zeros); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_theta->dimensions[0])); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_5);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_3);
  __pyx_t_5 = 0;
  __pyx_t_3 = 0;
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_2);
  __pyx_t_2 = 0;
  __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_complex128); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_dtype, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_15 = ((PyArrayObject *)__pyx_t_1);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S2.rcbuffer->pybuffer, (PyObject*)__pyx_t_15, &__Pyx_TypeInfo___pyx_t_double_complex, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {
      __pyx_v_S2 = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_S2.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_S2.diminfo[0].strides = __pyx_pybuffernd_S2.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_S2.diminfo[0].shape = __pyx_pybuffernd_S2.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_S2.diminfo[1].strides = __pyx_pybuffernd_S2.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_S2.diminfo[1].shape = __pyx_pybuffernd_S2.rcbuffer->pybuffer.shape[1];
    }
  }
  __pyx_t_15 = 0;
  __pyx_v_S2 = ((PyArrayObject *)__pyx_t_1);
  __pyx_t_1 = 0;

  /* "scattnlay.pyx":63
 *     cdef np.ndarray[np.float64_t, ndim = 1] S2i
 * 
 *     for i in range(x.shape[0]):             # <<<<<<<<<<<<<<
 *         S1r = np.zeros(theta.shape[0], dtype = np.float64)
 *         S1i = np.zeros(theta.shape[0], dtype = np.float64)
 */
  __pyx_t_16 = (__pyx_v_x->dimensions[0]);
  for (__pyx_t_17 = 0; __pyx_t_17 < __pyx_t_16; __pyx_t_17+=1) {
    __pyx_v_i = __pyx_t_17;

    /* "scattnlay.pyx":64
 * 
 *     for i in range(x.shape[0]):
 *         S1r = np.zeros(theta.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *         S1i = np.zeros(theta.shape[0], dtype = np.float64)
 *         S2r = np.zeros(theta.shape[0], dtype = np.float64)
 */
    __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_theta->dimensions[0])); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_1);
    __pyx_t_1 = 0;
    __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_float64); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_18 = ((PyArrayObject *)__pyx_t_5);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1r.rcbuffer->pybuffer);
      __pyx_t_19 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S1r.rcbuffer->pybuffer, (PyObject*)__pyx_t_18, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_19 < 0)) {
        PyErr_Fetch(&__pyx_t_20, &__pyx_t_21, &__pyx_t_22);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S1r.rcbuffer->pybuffer, (PyObject*)__pyx_v_S1r, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_20); Py_XDECREF(__pyx_t_21); Py_XDECREF(__pyx_t_22);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_20, __pyx_t_21, __pyx_t_22);
        }
      }
      __pyx_pybuffernd_S1r.diminfo[0].strides = __pyx_pybuffernd_S1r.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_S1r.diminfo[0].shape = __pyx_pybuffernd_S1r.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_19 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 64; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_18 = 0;
    __Pyx_XDECREF_SET(__pyx_v_S1r, ((PyArrayObject *)__pyx_t_5));
    __pyx_t_5 = 0;

    /* "scattnlay.pyx":65
 *     for i in range(x.shape[0]):
 *         S1r = np.zeros(theta.shape[0], dtype = np.float64)
 *         S1i = np.zeros(theta.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *         S2r = np.zeros(theta.shape[0], dtype = np.float64)
 *         S2i = np.zeros(theta.shape[0], dtype = np.float64)
 */
    __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_zeros); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_theta->dimensions[0])); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_5);
    __pyx_t_5 = 0;
    __pyx_t_5 = PyDict_New(); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_float64); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_dtype, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_23 = ((PyArrayObject *)__pyx_t_4);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1i.rcbuffer->pybuffer);
      __pyx_t_19 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S1i.rcbuffer->pybuffer, (PyObject*)__pyx_t_23, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_19 < 0)) {
        PyErr_Fetch(&__pyx_t_22, &__pyx_t_21, &__pyx_t_20);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S1i.rcbuffer->pybuffer, (PyObject*)__pyx_v_S1i, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_22); Py_XDECREF(__pyx_t_21); Py_XDECREF(__pyx_t_20);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_22, __pyx_t_21, __pyx_t_20);
        }
      }
      __pyx_pybuffernd_S1i.diminfo[0].strides = __pyx_pybuffernd_S1i.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_S1i.diminfo[0].shape = __pyx_pybuffernd_S1i.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_19 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 65; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_23 = 0;
    __Pyx_XDECREF_SET(__pyx_v_S1i, ((PyArrayObject *)__pyx_t_4));
    __pyx_t_4 = 0;

    /* "scattnlay.pyx":66
 *         S1r = np.zeros(theta.shape[0], dtype = np.float64)
 *         S1i = np.zeros(theta.shape[0], dtype = np.float64)
 *         S2r = np.zeros(theta.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *         S2i = np.zeros(theta.shape[0], dtype = np.float64)
 * 
 */
    __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_zeros); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_theta->dimensions[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_float64); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (PyDict_SetItem(__pyx_t_4, __pyx_n_s_dtype, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_24 = ((PyArrayObject *)__pyx_t_2);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2r.rcbuffer->pybuffer);
      __pyx_t_19 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S2r.rcbuffer->pybuffer, (PyObject*)__pyx_t_24, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_19 < 0)) {
        PyErr_Fetch(&__pyx_t_20, &__pyx_t_21, &__pyx_t_22);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S2r.rcbuffer->pybuffer, (PyObject*)__pyx_v_S2r, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_20); Py_XDECREF(__pyx_t_21); Py_XDECREF(__pyx_t_22);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_20, __pyx_t_21, __pyx_t_22);
        }
      }
      __pyx_pybuffernd_S2r.diminfo[0].strides = __pyx_pybuffernd_S2r.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_S2r.diminfo[0].shape = __pyx_pybuffernd_S2r.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_19 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 66; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_24 = 0;
    __Pyx_XDECREF_SET(__pyx_v_S2r, ((PyArrayObject *)__pyx_t_2));
    __pyx_t_2 = 0;

    /* "scattnlay.pyx":67
 *         S1i = np.zeros(theta.shape[0], dtype = np.float64)
 *         S2r = np.zeros(theta.shape[0], dtype = np.float64)
 *         S2i = np.zeros(theta.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 * 
 *         terms[i] = nfMieScatt(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), theta.shape[0], npy2c(theta), n_max, &Qext[i], &Qsca[i], &Qabs[i], &Qbk[i], &Qpr[i], &g[i], &Albedo[i], npy2c(S1r), npy2c(S1i), npy2c(S2r), npy2c(S2i))
 */
    __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_zeros); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_theta->dimensions[0])); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_2);
    __pyx_t_2 = 0;
    __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_float64); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_dtype, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_25 = ((PyArrayObject *)__pyx_t_1);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2i.rcbuffer->pybuffer);
      __pyx_t_19 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S2i.rcbuffer->pybuffer, (PyObject*)__pyx_t_25, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_19 < 0)) {
        PyErr_Fetch(&__pyx_t_22, &__pyx_t_21, &__pyx_t_20);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_S2i.rcbuffer->pybuffer, (PyObject*)__pyx_v_S2i, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_22); Py_XDECREF(__pyx_t_21); Py_XDECREF(__pyx_t_20);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_22, __pyx_t_21, __pyx_t_20);
        }
      }
      __pyx_pybuffernd_S2i.diminfo[0].strides = __pyx_pybuffernd_S2i.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_S2i.diminfo[0].shape = __pyx_pybuffernd_S2i.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_19 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_25 = 0;
    __Pyx_XDECREF_SET(__pyx_v_S2i, ((PyArrayObject *)__pyx_t_1));
    __pyx_t_1 = 0;

    /* "scattnlay.pyx":69
 *         S2i = np.zeros(theta.shape[0], dtype = np.float64)
 * 
 *         terms[i] = nfMieScatt(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), theta.shape[0], npy2c(theta), n_max, &Qext[i], &Qsca[i], &Qabs[i], &Qbk[i], &Qpr[i], &g[i], &Albedo[i], npy2c(S1r), npy2c(S1i), npy2c(S2r), npy2c(S2i))             # <<<<<<<<<<<<<<
 * 
 *         S1[i] = S1r.copy('C') + 1.0j*S1i.copy('C')
 */
    __pyx_t_1 = __Pyx_GetItemInt(((PyObject *)__pyx_v_x), __pyx_v_i, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1); if (unlikely(__pyx_t_1 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_copy); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__3, NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_2 = __Pyx_GetItemInt(((PyObject *)__pyx_v_m), __pyx_v_i, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1); if (unlikely(__pyx_t_2 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_real); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_copy); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_2 = __Pyx_GetItemInt(((PyObject *)__pyx_v_m), __pyx_v_i, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1); if (unlikely(__pyx_t_2 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_imag); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_copy); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_26 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_26 < 0) {
      __pyx_t_26 += __pyx_pybuffernd_Qext.diminfo[0].shape;
      if (unlikely(__pyx_t_26 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_26 >= __pyx_pybuffernd_Qext.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_27 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_27 < 0) {
      __pyx_t_27 += __pyx_pybuffernd_Qsca.diminfo[0].shape;
      if (unlikely(__pyx_t_27 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_27 >= __pyx_pybuffernd_Qsca.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_28 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_28 < 0) {
      __pyx_t_28 += __pyx_pybuffernd_Qabs.diminfo[0].shape;
      if (unlikely(__pyx_t_28 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_28 >= __pyx_pybuffernd_Qabs.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_29 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_29 < 0) {
      __pyx_t_29 += __pyx_pybuffernd_Qbk.diminfo[0].shape;
      if (unlikely(__pyx_t_29 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_29 >= __pyx_pybuffernd_Qbk.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_30 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_30 < 0) {
      __pyx_t_30 += __pyx_pybuffernd_Qpr.diminfo[0].shape;
      if (unlikely(__pyx_t_30 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_30 >= __pyx_pybuffernd_Qpr.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_31 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_31 < 0) {
      __pyx_t_31 += __pyx_pybuffernd_g.diminfo[0].shape;
      if (unlikely(__pyx_t_31 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_31 >= __pyx_pybuffernd_g.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_32 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_32 < 0) {
      __pyx_t_32 += __pyx_pybuffernd_Albedo.diminfo[0].shape;
      if (unlikely(__pyx_t_32 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_32 >= __pyx_pybuffernd_Albedo.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_33 = __pyx_v_i;
    __pyx_t_19 = -1;
    if (__pyx_t_33 < 0) {
      __pyx_t_33 += __pyx_pybuffernd_terms.diminfo[0].shape;
      if (unlikely(__pyx_t_33 < 0)) __pyx_t_19 = 0;
    } else if (unlikely(__pyx_t_33 >= __pyx_pybuffernd_terms.diminfo[0].shape)) __pyx_t_19 = 0;
    if (unlikely(__pyx_t_19 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_19);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int_t *, __pyx_pybuffernd_terms.rcbuffer->pybuffer.buf, __pyx_t_33, __pyx_pybuffernd_terms.diminfo[0].strides) = nfMieScatt((__pyx_v_x->dimensions[1]), __pyx_v_pl, __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_1)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_3)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_4)), (__pyx_v_theta->dimensions[0]), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_theta)), __pyx_v_n_max, (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_Qext.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd_Qext.diminfo[0].strides))), (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_Qsca.rcbuffer->pybuffer.buf, __pyx_t_27, __pyx_pybuffernd_Qsca.diminfo[0].strides))), (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_Qabs.rcbuffer->pybuffer.buf, __pyx_t_28, __pyx_pybuffernd_Qabs.diminfo[0].strides))), (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_Qbk.rcbuffer->pybuffer.buf, __pyx_t_29, __pyx_pybuffernd_Qbk.diminfo[0].strides))), (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_Qpr.rcbuffer->pybuffer.buf, __pyx_t_30, __pyx_pybuffernd_Qpr.diminfo[0].strides))), (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_g.rcbuffer->pybuffer.buf, __pyx_t_31, __pyx_pybuffernd_g.diminfo[0].strides))), (&(*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_Albedo.rcbuffer->pybuffer.buf, __pyx_t_32, __pyx_pybuffernd_Albedo.diminfo[0].strides))), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_S1r)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_S1i)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_S2r)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_S2i)));
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

    /* "scattnlay.pyx":71
 *         terms[i] = nfMieScatt(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), theta.shape[0], npy2c(theta), n_max, &Qext[i], &Qsca[i], &Qabs[i], &Qbk[i], &Qpr[i], &g[i], &Albedo[i], npy2c(S1r), npy2c(S1i), npy2c(S2r), npy2c(S2i))
 * 
 *         S1[i] = S1r.copy('C') + 1.0j*S1i.copy('C')             # <<<<<<<<<<<<<<
 *         S2[i] = S2r.copy('C') + 1.0j*S2i.copy('C')
 * 
 */
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_S1r), __pyx_n_s_copy); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_tuple__6, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyComplex_FromDoubles(0.0, 1.0); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_S1i), __pyx_n_s_copy); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__7, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_4, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(__Pyx_SetItemInt(((PyObject *)__pyx_v_S1), __pyx_v_i, __pyx_t_2, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "scattnlay.pyx":72
 * 
 *         S1[i] = S1r.copy('C') + 1.0j*S1i.copy('C')
 *         S2[i] = S2r.copy('C') + 1.0j*S2i.copy('C')             # <<<<<<<<<<<<<<
 * 
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
 */
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_S2r), __pyx_n_s_copy); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__8, NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyComplex_FromDoubles(0.0, 1.0); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_S2i), __pyx_n_s_copy); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_3, __pyx_tuple__9, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = PyNumber_Multiply(__pyx_t_2, __pyx_t_4); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Add(__pyx_t_1, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    if (unlikely(__Pyx_SetItemInt(((PyObject *)__pyx_v_S2), __pyx_v_i, __pyx_t_4, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  }

  /* "scattnlay.pyx":74
 *         S2[i] = S2r.copy('C') + 1.0j*S2i.copy('C')
 * 
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2             # <<<<<<<<<<<<<<
 * 
 * def fieldnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 2] coords = np.zeros((0, 3), dtype = np.float64), Py_ssize_t pl = 0, Py_ssize_t n_max = 0):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_4 = PyTuple_New(10); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 74; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_INCREF(((PyObject *)__pyx_v_terms));
  PyTuple_SET_ITEM(__pyx_t_4, 0, ((PyObject *)__pyx_v_terms));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_terms));
  __Pyx_INCREF(((PyObject *)__pyx_v_Qext));
  PyTuple_SET_ITEM(__pyx_t_4, 1, ((PyObject *)__pyx_v_Qext));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_Qext));
  __Pyx_INCREF(((PyObject *)__pyx_v_Qsca));
  PyTuple_SET_ITEM(__pyx_t_4, 2, ((PyObject *)__pyx_v_Qsca));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_Qsca));
  __Pyx_INCREF(((PyObject *)__pyx_v_Qabs));
  PyTuple_SET_ITEM(__pyx_t_4, 3, ((PyObject *)__pyx_v_Qabs));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_Qabs));
  __Pyx_INCREF(((PyObject *)__pyx_v_Qbk));
  PyTuple_SET_ITEM(__pyx_t_4, 4, ((PyObject *)__pyx_v_Qbk));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_Qbk));
  __Pyx_INCREF(((PyObject *)__pyx_v_Qpr));
  PyTuple_SET_ITEM(__pyx_t_4, 5, ((PyObject *)__pyx_v_Qpr));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_Qpr));
  __Pyx_INCREF(((PyObject *)__pyx_v_g));
  PyTuple_SET_ITEM(__pyx_t_4, 6, ((PyObject *)__pyx_v_g));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_g));
  __Pyx_INCREF(((PyObject *)__pyx_v_Albedo));
  PyTuple_SET_ITEM(__pyx_t_4, 7, ((PyObject *)__pyx_v_Albedo));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_Albedo));
  __Pyx_INCREF(((PyObject *)__pyx_v_S1));
  PyTuple_SET_ITEM(__pyx_t_4, 8, ((PyObject *)__pyx_v_S1));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_S1));
  __Pyx_INCREF(((PyObject *)__pyx_v_S2));
  PyTuple_SET_ITEM(__pyx_t_4, 9, ((PyObject *)__pyx_v_S2));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_S2));
  __pyx_r = __pyx_t_4;
  __pyx_t_4 = 0;
  goto __pyx_L0;

  /* "scattnlay.pyx":42
 *     int nfMieField(int L, int pl, double x[], double mr[], double mi[], int n_max, int nCoords, double Xp[], double Yp[], double Zp[], double Er[], double Ei[], double Hr[], double Hi[])
 * 
 * def scattnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 1] theta = np.zeros(0, dtype = np.float64), Py_ssize_t pl = -1, Py_ssize_t n_max = -1):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  { PyObject *__pyx_type, *__pyx_value, *__pyx_tb;
    __Pyx_ErrFetch(&__pyx_type, &__pyx_value, &__pyx_tb);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Albedo.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qabs.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qbk.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qext.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qpr.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qsca.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1i.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1r.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2i.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2r.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_g.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_m.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_terms.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_theta.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_x.rcbuffer->pybuffer);
  __Pyx_ErrRestore(__pyx_type, __pyx_value, __pyx_tb);}
  __Pyx_AddTraceback("scattnlay.scattnlay", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  goto __pyx_L2;
  __pyx_L0:;
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Albedo.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qabs.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qbk.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qext.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qpr.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Qsca.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1i.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S1r.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2i.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_S2r.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_g.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_m.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_terms.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_theta.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_x.rcbuffer->pybuffer);
  __pyx_L2:;
  __Pyx_XDECREF((PyObject *)__pyx_v_terms);
  __Pyx_XDECREF((PyObject *)__pyx_v_Qext);
  __Pyx_XDECREF((PyObject *)__pyx_v_Qabs);
  __Pyx_XDECREF((PyObject *)__pyx_v_Qsca);
  __Pyx_XDECREF((PyObject *)__pyx_v_Qbk);
  __Pyx_XDECREF((PyObject *)__pyx_v_Qpr);
  __Pyx_XDECREF((PyObject *)__pyx_v_g);
  __Pyx_XDECREF((PyObject *)__pyx_v_Albedo);
  __Pyx_XDECREF((PyObject *)__pyx_v_S1);
  __Pyx_XDECREF((PyObject *)__pyx_v_S2);
  __Pyx_XDECREF((PyObject *)__pyx_v_S1r);
  __Pyx_XDECREF((PyObject *)__pyx_v_S1i);
  __Pyx_XDECREF((PyObject *)__pyx_v_S2r);
  __Pyx_XDECREF((PyObject *)__pyx_v_S2i);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "scattnlay.pyx":76
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
 * 
 * def fieldnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 2] coords = np.zeros((0, 3), dtype = np.float64), Py_ssize_t pl = 0, Py_ssize_t n_max = 0):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_9scattnlay_3fieldnlay(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static PyMethodDef __pyx_mdef_9scattnlay_3fieldnlay = {__Pyx_NAMESTR("fieldnlay"), (PyCFunction)__pyx_pw_9scattnlay_3fieldnlay, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)};
static PyObject *__pyx_pw_9scattnlay_3fieldnlay(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyArrayObject *__pyx_v_x = 0;
  PyArrayObject *__pyx_v_m = 0;
  PyArrayObject *__pyx_v_coords = 0;
  Py_ssize_t __pyx_v_pl;
  Py_ssize_t __pyx_v_n_max;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("fieldnlay (wrapper)", 0);
  {
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_x,&__pyx_n_s_m,&__pyx_n_s_coords,&__pyx_n_s_pl,&__pyx_n_s_n_max,0};
    PyObject* values[5] = {0,0,0,0,0};
    values[2] = (PyObject *)__pyx_k__10;
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = PyDict_Size(__pyx_kwds);
      switch (pos_args) {
        case  0:
        if (likely((values[0] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_x)) != 0)) kw_args--;
        else goto __pyx_L5_argtuple_error;
        case  1:
        if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s_m)) != 0)) kw_args--;
        else {
          __Pyx_RaiseArgtupleInvalid("fieldnlay", 0, 2, 5, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
        }
        case  2:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_coords);
          if (value) { values[2] = value; kw_args--; }
        }
        case  3:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_pl);
          if (value) { values[3] = value; kw_args--; }
        }
        case  4:
        if (kw_args > 0) {
          PyObject* value = PyDict_GetItem(__pyx_kwds, __pyx_n_s_n_max);
          if (value) { values[4] = value; kw_args--; }
        }
      }
      if (unlikely(kw_args > 0)) {
        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "fieldnlay") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
      }
    } else {
      switch (PyTuple_GET_SIZE(__pyx_args)) {
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        break;
        default: goto __pyx_L5_argtuple_error;
      }
    }
    __pyx_v_x = ((PyArrayObject *)values[0]);
    __pyx_v_m = ((PyArrayObject *)values[1]);
    __pyx_v_coords = ((PyArrayObject *)values[2]);
    if (values[3]) {
      __pyx_v_pl = __Pyx_PyIndex_AsSsize_t(values[3]); if (unlikely((__pyx_v_pl == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_pl = ((Py_ssize_t)0);
    }
    if (values[4]) {
      __pyx_v_n_max = __Pyx_PyIndex_AsSsize_t(values[4]); if (unlikely((__pyx_v_n_max == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
    } else {
      __pyx_v_n_max = ((Py_ssize_t)0);
    }
  }
  goto __pyx_L4_argument_unpacking_done;
  __pyx_L5_argtuple_error:;
  __Pyx_RaiseArgtupleInvalid("fieldnlay", 0, 2, 5, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
  __pyx_L3_error:;
  __Pyx_AddTraceback("scattnlay.fieldnlay", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __Pyx_RefNannyFinishContext();
  return NULL;
  __pyx_L4_argument_unpacking_done:;
  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_x), __pyx_ptype_5numpy_ndarray, 1, "x", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_m), __pyx_ptype_5numpy_ndarray, 1, "m", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_coords), __pyx_ptype_5numpy_ndarray, 1, "coords", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_r = __pyx_pf_9scattnlay_2fieldnlay(__pyx_self, __pyx_v_x, __pyx_v_m, __pyx_v_coords, __pyx_v_pl, __pyx_v_n_max);

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyObject *__pyx_pf_9scattnlay_2fieldnlay(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, PyArrayObject *__pyx_v_m, PyArrayObject *__pyx_v_coords, Py_ssize_t __pyx_v_pl, Py_ssize_t __pyx_v_n_max) {
  Py_ssize_t __pyx_v_i;
  PyArrayObject *__pyx_v_terms = 0;
  PyArrayObject *__pyx_v_E = 0;
  PyArrayObject *__pyx_v_H = 0;
  PyArrayObject *__pyx_v_Er = 0;
  PyArrayObject *__pyx_v_Ei = 0;
  PyArrayObject *__pyx_v_Hr = 0;
  PyArrayObject *__pyx_v_Hi = 0;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_E;
  __Pyx_Buffer __pyx_pybuffer_E;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Ei;
  __Pyx_Buffer __pyx_pybuffer_Ei;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Er;
  __Pyx_Buffer __pyx_pybuffer_Er;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_H;
  __Pyx_Buffer __pyx_pybuffer_H;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Hi;
  __Pyx_Buffer __pyx_pybuffer_Hi;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_Hr;
  __Pyx_Buffer __pyx_pybuffer_Hr;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_coords;
  __Pyx_Buffer __pyx_pybuffer_coords;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_m;
  __Pyx_Buffer __pyx_pybuffer_m;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_terms;
  __Pyx_Buffer __pyx_pybuffer_terms;
  __Pyx_LocalBuf_ND __pyx_pybuffernd_x;
  __Pyx_Buffer __pyx_pybuffer_x;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  PyObject *__pyx_t_5 = NULL;
  PyArrayObject *__pyx_t_6 = NULL;
  PyArrayObject *__pyx_t_7 = NULL;
  PyArrayObject *__pyx_t_8 = NULL;
  npy_intp __pyx_t_9;
  Py_ssize_t __pyx_t_10;
  PyArrayObject *__pyx_t_11 = NULL;
  int __pyx_t_12;
  PyObject *__pyx_t_13 = NULL;
  PyObject *__pyx_t_14 = NULL;
  PyObject *__pyx_t_15 = NULL;
  PyArrayObject *__pyx_t_16 = NULL;
  PyArrayObject *__pyx_t_17 = NULL;
  PyArrayObject *__pyx_t_18 = NULL;
  PyObject *__pyx_t_19 = NULL;
  Py_ssize_t __pyx_t_20;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("fieldnlay", 0);
  __pyx_pybuffer_terms.pybuffer.buf = NULL;
  __pyx_pybuffer_terms.refcount = 0;
  __pyx_pybuffernd_terms.data = NULL;
  __pyx_pybuffernd_terms.rcbuffer = &__pyx_pybuffer_terms;
  __pyx_pybuffer_E.pybuffer.buf = NULL;
  __pyx_pybuffer_E.refcount = 0;
  __pyx_pybuffernd_E.data = NULL;
  __pyx_pybuffernd_E.rcbuffer = &__pyx_pybuffer_E;
  __pyx_pybuffer_H.pybuffer.buf = NULL;
  __pyx_pybuffer_H.refcount = 0;
  __pyx_pybuffernd_H.data = NULL;
  __pyx_pybuffernd_H.rcbuffer = &__pyx_pybuffer_H;
  __pyx_pybuffer_Er.pybuffer.buf = NULL;
  __pyx_pybuffer_Er.refcount = 0;
  __pyx_pybuffernd_Er.data = NULL;
  __pyx_pybuffernd_Er.rcbuffer = &__pyx_pybuffer_Er;
  __pyx_pybuffer_Ei.pybuffer.buf = NULL;
  __pyx_pybuffer_Ei.refcount = 0;
  __pyx_pybuffernd_Ei.data = NULL;
  __pyx_pybuffernd_Ei.rcbuffer = &__pyx_pybuffer_Ei;
  __pyx_pybuffer_Hr.pybuffer.buf = NULL;
  __pyx_pybuffer_Hr.refcount = 0;
  __pyx_pybuffernd_Hr.data = NULL;
  __pyx_pybuffernd_Hr.rcbuffer = &__pyx_pybuffer_Hr;
  __pyx_pybuffer_Hi.pybuffer.buf = NULL;
  __pyx_pybuffer_Hi.refcount = 0;
  __pyx_pybuffernd_Hi.data = NULL;
  __pyx_pybuffernd_Hi.rcbuffer = &__pyx_pybuffer_Hi;
  __pyx_pybuffer_x.pybuffer.buf = NULL;
  __pyx_pybuffer_x.refcount = 0;
  __pyx_pybuffernd_x.data = NULL;
  __pyx_pybuffernd_x.rcbuffer = &__pyx_pybuffer_x;
  __pyx_pybuffer_m.pybuffer.buf = NULL;
  __pyx_pybuffer_m.refcount = 0;
  __pyx_pybuffernd_m.data = NULL;
  __pyx_pybuffernd_m.rcbuffer = &__pyx_pybuffer_m;
  __pyx_pybuffer_coords.pybuffer.buf = NULL;
  __pyx_pybuffer_coords.refcount = 0;
  __pyx_pybuffernd_coords.data = NULL;
  __pyx_pybuffernd_coords.rcbuffer = &__pyx_pybuffer_coords;
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_x.rcbuffer->pybuffer, (PyObject*)__pyx_v_x, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_pybuffernd_x.diminfo[0].strides = __pyx_pybuffernd_x.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_x.diminfo[0].shape = __pyx_pybuffernd_x.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_x.diminfo[1].strides = __pyx_pybuffernd_x.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_x.diminfo[1].shape = __pyx_pybuffernd_x.rcbuffer->pybuffer.shape[1];
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_m.rcbuffer->pybuffer, (PyObject*)__pyx_v_m, &__Pyx_TypeInfo___pyx_t_double_complex, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_pybuffernd_m.diminfo[0].strides = __pyx_pybuffernd_m.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_m.diminfo[0].shape = __pyx_pybuffernd_m.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_m.diminfo[1].strides = __pyx_pybuffernd_m.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_m.diminfo[1].shape = __pyx_pybuffernd_m.rcbuffer->pybuffer.shape[1];
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_coords.rcbuffer->pybuffer, (PyObject*)__pyx_v_coords, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_pybuffernd_coords.diminfo[0].strides = __pyx_pybuffernd_coords.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_coords.diminfo[0].shape = __pyx_pybuffernd_coords.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_coords.diminfo[1].strides = __pyx_pybuffernd_coords.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_coords.diminfo[1].shape = __pyx_pybuffernd_coords.rcbuffer->pybuffer.shape[1];

  /* "scattnlay.pyx":79
 *     cdef Py_ssize_t i
 * 
 *     cdef np.ndarray[np.int_t, ndim = 1] terms = np.zeros(x.shape[0], dtype = np.int)             # <<<<<<<<<<<<<<
 * 
 *     cdef np.ndarray[np.complex128_t, ndim = 2] E = np.zeros((x.shape[0], coords.shape[0]), dtype = np.complex128)
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;
  __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_int); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_6 = ((PyArrayObject *)__pyx_t_5);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_terms.rcbuffer->pybuffer, (PyObject*)__pyx_t_6, &__Pyx_TypeInfo_nn___pyx_t_5numpy_int_t, PyBUF_FORMAT| PyBUF_STRIDES| PyBUF_WRITABLE, 1, 0, __pyx_stack) == -1)) {
      __pyx_v_terms = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_terms.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 79; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_terms.diminfo[0].strides = __pyx_pybuffernd_terms.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_terms.diminfo[0].shape = __pyx_pybuffernd_terms.rcbuffer->pybuffer.shape[0];
    }
  }
  __pyx_t_6 = 0;
  __pyx_v_terms = ((PyArrayObject *)__pyx_t_5);
  __pyx_t_5 = 0;

  /* "scattnlay.pyx":81
 *     cdef np.ndarray[np.int_t, ndim = 1] terms = np.zeros(x.shape[0], dtype = np.int)
 * 
 *     cdef np.ndarray[np.complex128_t, ndim = 2] E = np.zeros((x.shape[0], coords.shape[0]), dtype = np.complex128)             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.complex128_t, ndim = 2] H = np.zeros((x.shape[0], coords.shape[0]), dtype = np.complex128)
 * 
 */
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_zeros); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_3 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_coords->dimensions[0])); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_2 = PyTuple_New(2); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_t_5);
  __Pyx_GIVEREF(__pyx_t_5);
  PyTuple_SET_ITEM(__pyx_t_2, 1, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_3);
  __pyx_t_5 = 0;
  __pyx_t_3 = 0;
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
  __Pyx_GIVEREF(__pyx_t_2);
  __pyx_t_2 = 0;
  __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_complex128); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_dtype, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_7 = ((PyArrayObject *)__pyx_t_4);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_E.rcbuffer->pybuffer, (PyObject*)__pyx_t_7, &__Pyx_TypeInfo___pyx_t_double_complex, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {
      __pyx_v_E = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_E.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 81; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_E.diminfo[0].strides = __pyx_pybuffernd_E.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_E.diminfo[0].shape = __pyx_pybuffernd_E.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_E.diminfo[1].strides = __pyx_pybuffernd_E.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_E.diminfo[1].shape = __pyx_pybuffernd_E.rcbuffer->pybuffer.shape[1];
    }
  }
  __pyx_t_7 = 0;
  __pyx_v_E = ((PyArrayObject *)__pyx_t_4);
  __pyx_t_4 = 0;

  /* "scattnlay.pyx":82
 * 
 *     cdef np.ndarray[np.complex128_t, ndim = 2] E = np.zeros((x.shape[0], coords.shape[0]), dtype = np.complex128)
 *     cdef np.ndarray[np.complex128_t, ndim = 2] H = np.zeros((x.shape[0], coords.shape[0]), dtype = np.complex128)             # <<<<<<<<<<<<<<
 * 
 *     cdef np.ndarray[np.float64_t, ndim = 1] Er
 */
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_x->dimensions[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_3 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_coords->dimensions[0])); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_1 = PyTuple_New(2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_4);
  PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_3);
  __pyx_t_4 = 0;
  __pyx_t_3 = 0;
  __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
  __Pyx_GIVEREF(__pyx_t_1);
  __pyx_t_1 = 0;
  __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_complex128); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
  __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_5);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_t_8 = ((PyArrayObject *)__pyx_t_5);
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_H.rcbuffer->pybuffer, (PyObject*)__pyx_t_8, &__Pyx_TypeInfo___pyx_t_double_complex, PyBUF_FORMAT| PyBUF_STRIDES, 2, 0, __pyx_stack) == -1)) {
      __pyx_v_H = ((PyArrayObject *)Py_None); __Pyx_INCREF(Py_None); __pyx_pybuffernd_H.rcbuffer->pybuffer.buf = NULL;
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 82; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    } else {__pyx_pybuffernd_H.diminfo[0].strides = __pyx_pybuffernd_H.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_H.diminfo[0].shape = __pyx_pybuffernd_H.rcbuffer->pybuffer.shape[0]; __pyx_pybuffernd_H.diminfo[1].strides = __pyx_pybuffernd_H.rcbuffer->pybuffer.strides[1]; __pyx_pybuffernd_H.diminfo[1].shape = __pyx_pybuffernd_H.rcbuffer->pybuffer.shape[1];
    }
  }
  __pyx_t_8 = 0;
  __pyx_v_H = ((PyArrayObject *)__pyx_t_5);
  __pyx_t_5 = 0;

  /* "scattnlay.pyx":89
 *     cdef np.ndarray[np.float64_t, ndim = 1] Hi
 * 
 *     for i in range(x.shape[0]):             # <<<<<<<<<<<<<<
 *         Er = np.zeros(coords.shape[0], dtype = np.float64)
 *         Ei = np.zeros(coords.shape[0], dtype = np.float64)
 */
  __pyx_t_9 = (__pyx_v_x->dimensions[0]);
  for (__pyx_t_10 = 0; __pyx_t_10 < __pyx_t_9; __pyx_t_10+=1) {
    __pyx_v_i = __pyx_t_10;

    /* "scattnlay.pyx":90
 * 
 *     for i in range(x.shape[0]):
 *         Er = np.zeros(coords.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *         Ei = np.zeros(coords.shape[0], dtype = np.float64)
 *         Hr = np.zeros(coords.shape[0], dtype = np.float64)
 */
    __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_zeros); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_coords->dimensions[0])); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_5);
    __Pyx_GIVEREF(__pyx_t_5);
    __pyx_t_5 = 0;
    __pyx_t_5 = PyDict_New(); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_float64); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (PyDict_SetItem(__pyx_t_5, __pyx_n_s_dtype, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_t_3, __pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_11 = ((PyArrayObject *)__pyx_t_4);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Er.rcbuffer->pybuffer);
      __pyx_t_12 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Er.rcbuffer->pybuffer, (PyObject*)__pyx_t_11, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_12 < 0)) {
        PyErr_Fetch(&__pyx_t_13, &__pyx_t_14, &__pyx_t_15);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Er.rcbuffer->pybuffer, (PyObject*)__pyx_v_Er, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_13); Py_XDECREF(__pyx_t_14); Py_XDECREF(__pyx_t_15);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_13, __pyx_t_14, __pyx_t_15);
        }
      }
      __pyx_pybuffernd_Er.diminfo[0].strides = __pyx_pybuffernd_Er.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Er.diminfo[0].shape = __pyx_pybuffernd_Er.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_12 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 90; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_11 = 0;
    __Pyx_XDECREF_SET(__pyx_v_Er, ((PyArrayObject *)__pyx_t_4));
    __pyx_t_4 = 0;

    /* "scattnlay.pyx":91
 *     for i in range(x.shape[0]):
 *         Er = np.zeros(coords.shape[0], dtype = np.float64)
 *         Ei = np.zeros(coords.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *         Hr = np.zeros(coords.shape[0], dtype = np.float64)
 *         Hi = np.zeros(coords.shape[0], dtype = np.float64)
 */
    __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_zeros); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_coords->dimensions[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_4);
    __Pyx_GIVEREF(__pyx_t_4);
    __pyx_t_4 = 0;
    __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_float64); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (PyDict_SetItem(__pyx_t_4, __pyx_n_s_dtype, __pyx_t_2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_5, __pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_16 = ((PyArrayObject *)__pyx_t_2);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Ei.rcbuffer->pybuffer);
      __pyx_t_12 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Ei.rcbuffer->pybuffer, (PyObject*)__pyx_t_16, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_12 < 0)) {
        PyErr_Fetch(&__pyx_t_15, &__pyx_t_14, &__pyx_t_13);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Ei.rcbuffer->pybuffer, (PyObject*)__pyx_v_Ei, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_15); Py_XDECREF(__pyx_t_14); Py_XDECREF(__pyx_t_13);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_15, __pyx_t_14, __pyx_t_13);
        }
      }
      __pyx_pybuffernd_Ei.diminfo[0].strides = __pyx_pybuffernd_Ei.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Ei.diminfo[0].shape = __pyx_pybuffernd_Ei.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_12 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 91; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_16 = 0;
    __Pyx_XDECREF_SET(__pyx_v_Ei, ((PyArrayObject *)__pyx_t_2));
    __pyx_t_2 = 0;

    /* "scattnlay.pyx":92
 *         Er = np.zeros(coords.shape[0], dtype = np.float64)
 *         Ei = np.zeros(coords.shape[0], dtype = np.float64)
 *         Hr = np.zeros(coords.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 *         Hi = np.zeros(coords.shape[0], dtype = np.float64)
 * 
 */
    __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_zeros); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_coords->dimensions[0])); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_2);
    __Pyx_GIVEREF(__pyx_t_2);
    __pyx_t_2 = 0;
    __pyx_t_2 = PyDict_New(); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_5 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_float64); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    if (PyDict_SetItem(__pyx_t_2, __pyx_n_s_dtype, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_3, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_17 = ((PyArrayObject *)__pyx_t_1);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Hr.rcbuffer->pybuffer);
      __pyx_t_12 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Hr.rcbuffer->pybuffer, (PyObject*)__pyx_t_17, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_12 < 0)) {
        PyErr_Fetch(&__pyx_t_13, &__pyx_t_14, &__pyx_t_15);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Hr.rcbuffer->pybuffer, (PyObject*)__pyx_v_Hr, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_13); Py_XDECREF(__pyx_t_14); Py_XDECREF(__pyx_t_15);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_13, __pyx_t_14, __pyx_t_15);
        }
      }
      __pyx_pybuffernd_Hr.diminfo[0].strides = __pyx_pybuffernd_Hr.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Hr.diminfo[0].shape = __pyx_pybuffernd_Hr.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_12 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_17 = 0;
    __Pyx_XDECREF_SET(__pyx_v_Hr, ((PyArrayObject *)__pyx_t_1));
    __pyx_t_1 = 0;

    /* "scattnlay.pyx":93
 *         Ei = np.zeros(coords.shape[0], dtype = np.float64)
 *         Hr = np.zeros(coords.shape[0], dtype = np.float64)
 *         Hi = np.zeros(coords.shape[0], dtype = np.float64)             # <<<<<<<<<<<<<<
 * 
 *         terms[i] = nfMieField(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), n_max, coords.shape[0], npy2c(coords[:, 0]), npy2c(coords[:, 1]), npy2c(coords[:, 2]), npy2c(Er), npy2c(Ei), npy2c(Hr), npy2c(Hi))
 */
    __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyInt_From_Py_intptr_t((__pyx_v_coords->dimensions[0])); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
    __Pyx_GIVEREF(__pyx_t_1);
    __pyx_t_1 = 0;
    __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_float64); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_5) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_t_3, __pyx_t_1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_18 = ((PyArrayObject *)__pyx_t_5);
    {
      __Pyx_BufFmt_StackElem __pyx_stack[1];
      __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Hi.rcbuffer->pybuffer);
      __pyx_t_12 = __Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Hi.rcbuffer->pybuffer, (PyObject*)__pyx_t_18, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack);
      if (unlikely(__pyx_t_12 < 0)) {
        PyErr_Fetch(&__pyx_t_15, &__pyx_t_14, &__pyx_t_13);
        if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_Hi.rcbuffer->pybuffer, (PyObject*)__pyx_v_Hi, &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, PyBUF_FORMAT| PyBUF_STRIDES, 1, 0, __pyx_stack) == -1)) {
          Py_XDECREF(__pyx_t_15); Py_XDECREF(__pyx_t_14); Py_XDECREF(__pyx_t_13);
          __Pyx_RaiseBufferFallbackError();
        } else {
          PyErr_Restore(__pyx_t_15, __pyx_t_14, __pyx_t_13);
        }
      }
      __pyx_pybuffernd_Hi.diminfo[0].strides = __pyx_pybuffernd_Hi.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_Hi.diminfo[0].shape = __pyx_pybuffernd_Hi.rcbuffer->pybuffer.shape[0];
      if (unlikely(__pyx_t_12 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 93; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_t_18 = 0;
    __Pyx_XDECREF_SET(__pyx_v_Hi, ((PyArrayObject *)__pyx_t_5));
    __pyx_t_5 = 0;

    /* "scattnlay.pyx":95
 *         Hi = np.zeros(coords.shape[0], dtype = np.float64)
 * 
 *         terms[i] = nfMieField(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), n_max, coords.shape[0], npy2c(coords[:, 0]), npy2c(coords[:, 1]), npy2c(coords[:, 2]), npy2c(Er), npy2c(Ei), npy2c(Hr), npy2c(Hi))             # <<<<<<<<<<<<<<
 * 
 *         E[i] = Er.copy('C') + 1.0j*Ei.copy('C')
 */
    __pyx_t_5 = __Pyx_GetItemInt(((PyObject *)__pyx_v_x), __pyx_v_i, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1); if (unlikely(__pyx_t_5 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_5);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_5, __pyx_n_s_copy); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __pyx_t_5 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__11, NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_5);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (!(likely(((__pyx_t_5) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_5, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_1 = __Pyx_GetItemInt(((PyObject *)__pyx_v_m), __pyx_v_i, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1); if (unlikely(__pyx_t_1 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_real); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_copy); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__12, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_1 = __Pyx_GetItemInt(((PyObject *)__pyx_v_m), __pyx_v_i, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1); if (unlikely(__pyx_t_1 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_imag); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_copy); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__13, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (!(likely(((__pyx_t_2) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_2, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_1 = PyObject_GetItem(((PyObject *)__pyx_v_coords), __pyx_tuple__15); if (unlikely(__pyx_t_1 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_1);
    if (!(likely(((__pyx_t_1) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_1, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_4 = PyObject_GetItem(((PyObject *)__pyx_v_coords), __pyx_tuple__17); if (unlikely(__pyx_t_4 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_4);
    if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_19 = PyObject_GetItem(((PyObject *)__pyx_v_coords), __pyx_tuple__19); if (unlikely(__pyx_t_19 == NULL)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_19);
    if (!(likely(((__pyx_t_19) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_19, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_t_20 = __pyx_v_i;
    __pyx_t_12 = -1;
    if (__pyx_t_20 < 0) {
      __pyx_t_20 += __pyx_pybuffernd_terms.diminfo[0].shape;
      if (unlikely(__pyx_t_20 < 0)) __pyx_t_12 = 0;
    } else if (unlikely(__pyx_t_20 >= __pyx_pybuffernd_terms.diminfo[0].shape)) __pyx_t_12 = 0;
    if (unlikely(__pyx_t_12 != -1)) {
      __Pyx_RaiseBufferIndexError(__pyx_t_12);
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int_t *, __pyx_pybuffernd_terms.rcbuffer->pybuffer.buf, __pyx_t_20, __pyx_pybuffernd_terms.diminfo[0].strides) = nfMieField((__pyx_v_x->dimensions[1]), __pyx_v_pl, __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_5)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_3)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_2)), __pyx_v_n_max, (__pyx_v_coords->dimensions[0]), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_1)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_4)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_t_19)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_Er)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_Ei)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_Hr)), __pyx_f_9scattnlay_npy2c(((PyArrayObject *)__pyx_v_Hi)));
    __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_19); __pyx_t_19 = 0;

    /* "scattnlay.pyx":97
 *         terms[i] = nfMieField(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), n_max, coords.shape[0], npy2c(coords[:, 0]), npy2c(coords[:, 1]), npy2c(coords[:, 2]), npy2c(Er), npy2c(Ei), npy2c(Hr), npy2c(Hi))
 * 
 *         E[i] = Er.copy('C') + 1.0j*Ei.copy('C')             # <<<<<<<<<<<<<<
 *         H[i] = Hr.copy('C') + 1.0j*Hi.copy('C')
 * 
 */
    __pyx_t_19 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_Er), __pyx_n_s_copy); if (unlikely(!__pyx_t_19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_19);
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_19, __pyx_tuple__20, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_19); __pyx_t_19 = 0;
    __pyx_t_19 = PyComplex_FromDoubles(0.0, 1.0); if (unlikely(!__pyx_t_19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_19);
    __pyx_t_1 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_Ei), __pyx_n_s_copy); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __pyx_t_2 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__21, NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __pyx_t_1 = PyNumber_Multiply(__pyx_t_19, __pyx_t_2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_19); __pyx_t_19 = 0;
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyNumber_Add(__pyx_t_4, __pyx_t_1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    if (unlikely(__Pyx_SetItemInt(((PyObject *)__pyx_v_E), __pyx_v_i, __pyx_t_2, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

    /* "scattnlay.pyx":98
 * 
 *         E[i] = Er.copy('C') + 1.0j*Ei.copy('C')
 *         H[i] = Hr.copy('C') + 1.0j*Hi.copy('C')             # <<<<<<<<<<<<<<
 * 
 *     return terms, E, H
 */
    __pyx_t_2 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_Hr), __pyx_n_s_copy); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_1 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__22, NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_1);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __pyx_t_2 = PyComplex_FromDoubles(0.0, 1.0); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_2);
    __pyx_t_4 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_Hi), __pyx_n_s_copy); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_19 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_tuple__23, NULL); if (unlikely(!__pyx_t_19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_19);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_4 = PyNumber_Multiply(__pyx_t_2, __pyx_t_19); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
    __Pyx_DECREF(__pyx_t_19); __pyx_t_19 = 0;
    __pyx_t_19 = PyNumber_Add(__pyx_t_1, __pyx_t_4); if (unlikely(!__pyx_t_19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_19);
    __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    if (unlikely(__Pyx_SetItemInt(((PyObject *)__pyx_v_H), __pyx_v_i, __pyx_t_19, Py_ssize_t, 1, PyInt_FromSsize_t, 0, 1, 1) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_19); __pyx_t_19 = 0;
  }

  /* "scattnlay.pyx":100
 *         H[i] = Hr.copy('C') + 1.0j*Hi.copy('C')
 * 
 *     return terms, E, H             # <<<<<<<<<<<<<<
 * 
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_19 = PyTuple_New(3); if (unlikely(!__pyx_t_19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 100; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_19);
  __Pyx_INCREF(((PyObject *)__pyx_v_terms));
  PyTuple_SET_ITEM(__pyx_t_19, 0, ((PyObject *)__pyx_v_terms));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_terms));
  __Pyx_INCREF(((PyObject *)__pyx_v_E));
  PyTuple_SET_ITEM(__pyx_t_19, 1, ((PyObject *)__pyx_v_E));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_E));
  __Pyx_INCREF(((PyObject *)__pyx_v_H));
  PyTuple_SET_ITEM(__pyx_t_19, 2, ((PyObject *)__pyx_v_H));
  __Pyx_GIVEREF(((PyObject *)__pyx_v_H));
  __pyx_r = __pyx_t_19;
  __pyx_t_19 = 0;
  goto __pyx_L0;

  /* "scattnlay.pyx":76
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
 * 
 * def fieldnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 2] coords = np.zeros((0, 3), dtype = np.float64), Py_ssize_t pl = 0, Py_ssize_t n_max = 0):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_5);
  __Pyx_XDECREF(__pyx_t_19);
  { PyObject *__pyx_type, *__pyx_value, *__pyx_tb;
    __Pyx_ErrFetch(&__pyx_type, &__pyx_value, &__pyx_tb);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_E.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Ei.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Er.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_H.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Hi.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Hr.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_coords.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_m.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_terms.rcbuffer->pybuffer);
    __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_x.rcbuffer->pybuffer);
  __Pyx_ErrRestore(__pyx_type, __pyx_value, __pyx_tb);}
  __Pyx_AddTraceback("scattnlay.fieldnlay", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  goto __pyx_L2;
  __pyx_L0:;
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_E.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Ei.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Er.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_H.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Hi.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_Hr.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_coords.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_m.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_terms.rcbuffer->pybuffer);
  __Pyx_SafeReleaseBuffer(&__pyx_pybuffernd_x.rcbuffer->pybuffer);
  __pyx_L2:;
  __Pyx_XDECREF((PyObject *)__pyx_v_terms);
  __Pyx_XDECREF((PyObject *)__pyx_v_E);
  __Pyx_XDECREF((PyObject *)__pyx_v_H);
  __Pyx_XDECREF((PyObject *)__pyx_v_Er);
  __Pyx_XDECREF((PyObject *)__pyx_v_Ei);
  __Pyx_XDECREF((PyObject *)__pyx_v_Hr);
  __Pyx_XDECREF((PyObject *)__pyx_v_Hi);
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":194
 *         # experimental exception made for __getbuffer__ and __releasebuffer__
 *         # -- the details of this may change.
 *         def __getbuffer__(ndarray self, Py_buffer* info, int flags):             # <<<<<<<<<<<<<<
 *             # This implementation of getbuffer is geared towards Cython
 *             # requirements, and does not yet fullfill the PEP.
 */

/* Python wrapper */
static CYTHON_UNUSED int __pyx_pw_5numpy_7ndarray_1__getbuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static CYTHON_UNUSED int __pyx_pw_5numpy_7ndarray_1__getbuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags) {
  int __pyx_r;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__getbuffer__ (wrapper)", 0);
  __pyx_r = __pyx_pf_5numpy_7ndarray___getbuffer__(((PyArrayObject *)__pyx_v_self), ((Py_buffer *)__pyx_v_info), ((int)__pyx_v_flags));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags) {
  int __pyx_v_copy_shape;
  int __pyx_v_i;
  int __pyx_v_ndim;
  int __pyx_v_endian_detector;
  int __pyx_v_little_endian;
  int __pyx_v_t;
  char *__pyx_v_f;
  PyArray_Descr *__pyx_v_descr = 0;
  int __pyx_v_offset;
  int __pyx_v_hasfields;
  int __pyx_r;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  PyObject *__pyx_t_8 = NULL;
  char *__pyx_t_9;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("__getbuffer__", 0);
  if (__pyx_v_info != NULL) {
    __pyx_v_info->obj = Py_None; __Pyx_INCREF(Py_None);
    __Pyx_GIVEREF(__pyx_v_info->obj);
  }

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":200
 *             # of flags
 * 
 *             if info == NULL: return             # <<<<<<<<<<<<<<
 * 
 *             cdef int copy_shape, i, ndim
 */
  __pyx_t_1 = ((__pyx_v_info == NULL) != 0);
  if (__pyx_t_1) {
    __pyx_r = 0;
    goto __pyx_L0;
  }

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":203
 * 
 *             cdef int copy_shape, i, ndim
 *             cdef int endian_detector = 1             # <<<<<<<<<<<<<<
 *             cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)
 * 
 */
  __pyx_v_endian_detector = 1;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":204
 *             cdef int copy_shape, i, ndim
 *             cdef int endian_detector = 1
 *             cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)             # <<<<<<<<<<<<<<
 * 
 *             ndim = PyArray_NDIM(self)
 */
  __pyx_v_little_endian = ((((char *)(&__pyx_v_endian_detector))[0]) != 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":206
 *             cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)
 * 
 *             ndim = PyArray_NDIM(self)             # <<<<<<<<<<<<<<
 * 
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 */
  __pyx_v_ndim = PyArray_NDIM(__pyx_v_self);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":208
 *             ndim = PyArray_NDIM(self)
 * 
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):             # <<<<<<<<<<<<<<
 *                 copy_shape = 1
 *             else:
 */
  __pyx_t_1 = (((sizeof(npy_intp)) != (sizeof(Py_ssize_t))) != 0);
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":209
 * 
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 *                 copy_shape = 1             # <<<<<<<<<<<<<<
 *             else:
 *                 copy_shape = 0
 */
    __pyx_v_copy_shape = 1;
    goto __pyx_L4;
  }
  /*else*/ {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":211
 *                 copy_shape = 1
 *             else:
 *                 copy_shape = 0             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 */
    __pyx_v_copy_shape = 0;
  }
  __pyx_L4:;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":213
 *                 copy_shape = 0
 * 
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")
 */
  __pyx_t_1 = (((__pyx_v_flags & PyBUF_C_CONTIGUOUS) == PyBUF_C_CONTIGUOUS) != 0);
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":214
 * 
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):             # <<<<<<<<<<<<<<
 *                 raise ValueError(u"ndarray is not C contiguous")
 * 
 */
    __pyx_t_2 = ((!(PyArray_CHKFLAGS(__pyx_v_self, NPY_C_CONTIGUOUS) != 0)) != 0);
    __pyx_t_3 = __pyx_t_2;
  } else {
    __pyx_t_3 = __pyx_t_1;
  }
  if (__pyx_t_3) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":215
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 */
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__24, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 215; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_Raise(__pyx_t_4, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    {__pyx_filename = __pyx_f[1]; __pyx_lineno = 215; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":217
 *                 raise ValueError(u"ndarray is not C contiguous")
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")
 */
  __pyx_t_3 = (((__pyx_v_flags & PyBUF_F_CONTIGUOUS) == PyBUF_F_CONTIGUOUS) != 0);
  if (__pyx_t_3) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":218
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):             # <<<<<<<<<<<<<<
 *                 raise ValueError(u"ndarray is not Fortran contiguous")
 * 
 */
    __pyx_t_1 = ((!(PyArray_CHKFLAGS(__pyx_v_self, NPY_F_CONTIGUOUS) != 0)) != 0);
    __pyx_t_2 = __pyx_t_1;
  } else {
    __pyx_t_2 = __pyx_t_3;
  }
  if (__pyx_t_2) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":219
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")             # <<<<<<<<<<<<<<
 * 
 *             info.buf = PyArray_DATA(self)
 */
    __pyx_t_4 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__25, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 219; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __Pyx_Raise(__pyx_t_4, 0, 0, 0);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    {__pyx_filename = __pyx_f[1]; __pyx_lineno = 219; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":221
 *                 raise ValueError(u"ndarray is not Fortran contiguous")
 * 
 *             info.buf = PyArray_DATA(self)             # <<<<<<<<<<<<<<
 *             info.ndim = ndim
 *             if copy_shape:
 */
  __pyx_v_info->buf = PyArray_DATA(__pyx_v_self);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":222
 * 
 *             info.buf = PyArray_DATA(self)
 *             info.ndim = ndim             # <<<<<<<<<<<<<<
 *             if copy_shape:
 *                 # Allocate new buffer for strides and shape info.
 */
  __pyx_v_info->ndim = __pyx_v_ndim;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":223
 *             info.buf = PyArray_DATA(self)
 *             info.ndim = ndim
 *             if copy_shape:             # <<<<<<<<<<<<<<
 *                 # Allocate new buffer for strides and shape info.
 *                 # This is allocated as one block, strides first.
 */
  __pyx_t_2 = (__pyx_v_copy_shape != 0);
  if (__pyx_t_2) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":226
 *                 # Allocate new buffer for strides and shape info.
 *                 # This is allocated as one block, strides first.
 *                 info.strides = <Py_ssize_t*>stdlib.malloc(sizeof(Py_ssize_t) * <size_t>ndim * 2)             # <<<<<<<<<<<<<<
 *                 info.shape = info.strides + ndim
 *                 for i in range(ndim):
 */
    __pyx_v_info->strides = ((Py_ssize_t *)malloc((((sizeof(Py_ssize_t)) * ((size_t)__pyx_v_ndim)) * 2)));

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":227
 *                 # This is allocated as one block, strides first.
 *                 info.strides = <Py_ssize_t*>stdlib.malloc(sizeof(Py_ssize_t) * <size_t>ndim * 2)
 *                 info.shape = info.strides + ndim             # <<<<<<<<<<<<<<
 *                 for i in range(ndim):
 *                     info.strides[i] = PyArray_STRIDES(self)[i]
 */
    __pyx_v_info->shape = (__pyx_v_info->strides + __pyx_v_ndim);

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":228
 *                 info.strides = <Py_ssize_t*>stdlib.malloc(sizeof(Py_ssize_t) * <size_t>ndim * 2)
 *                 info.shape = info.strides + ndim
 *                 for i in range(ndim):             # <<<<<<<<<<<<<<
 *                     info.strides[i] = PyArray_STRIDES(self)[i]
 *                     info.shape[i] = PyArray_DIMS(self)[i]
 */
    __pyx_t_5 = __pyx_v_ndim;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":229
 *                 info.shape = info.strides + ndim
 *                 for i in range(ndim):
 *                     info.strides[i] = PyArray_STRIDES(self)[i]             # <<<<<<<<<<<<<<
 *                     info.shape[i] = PyArray_DIMS(self)[i]
 *             else:
 */
      (__pyx_v_info->strides[__pyx_v_i]) = (PyArray_STRIDES(__pyx_v_self)[__pyx_v_i]);

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":230
 *                 for i in range(ndim):
 *                     info.strides[i] = PyArray_STRIDES(self)[i]
 *                     info.shape[i] = PyArray_DIMS(self)[i]             # <<<<<<<<<<<<<<
 *             else:
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)
 */
      (__pyx_v_info->shape[__pyx_v_i]) = (PyArray_DIMS(__pyx_v_self)[__pyx_v_i]);
    }
    goto __pyx_L7;
  }
  /*else*/ {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":232
 *                     info.shape[i] = PyArray_DIMS(self)[i]
 *             else:
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)             # <<<<<<<<<<<<<<
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
 *             info.suboffsets = NULL
 */
    __pyx_v_info->strides = ((Py_ssize_t *)PyArray_STRIDES(__pyx_v_self));

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":233
 *             else:
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)             # <<<<<<<<<<<<<<
 *             info.suboffsets = NULL
 *             info.itemsize = PyArray_ITEMSIZE(self)
 */
    __pyx_v_info->shape = ((Py_ssize_t *)PyArray_DIMS(__pyx_v_self));
  }
  __pyx_L7:;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":234
 *                 info.strides = <Py_ssize_t*>PyArray_STRIDES(self)
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
 *             info.suboffsets = NULL             # <<<<<<<<<<<<<<
 *             info.itemsize = PyArray_ITEMSIZE(self)
 *             info.readonly = not PyArray_ISWRITEABLE(self)
 */
  __pyx_v_info->suboffsets = NULL;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":235
 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
 *             info.suboffsets = NULL
 *             info.itemsize = PyArray_ITEMSIZE(self)             # <<<<<<<<<<<<<<
 *             info.readonly = not PyArray_ISWRITEABLE(self)
 * 
 */
  __pyx_v_info->itemsize = PyArray_ITEMSIZE(__pyx_v_self);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":236
 *             info.suboffsets = NULL
 *             info.itemsize = PyArray_ITEMSIZE(self)
 *             info.readonly = not PyArray_ISWRITEABLE(self)             # <<<<<<<<<<<<<<
 * 
 *             cdef int t
 */
  __pyx_v_info->readonly = (!(PyArray_ISWRITEABLE(__pyx_v_self) != 0));

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":239
 * 
 *             cdef int t
 *             cdef char* f = NULL             # <<<<<<<<<<<<<<
 *             cdef dtype descr = self.descr
 *             cdef list stack
 */
  __pyx_v_f = NULL;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":240
 *             cdef int t
 *             cdef char* f = NULL
 *             cdef dtype descr = self.descr             # <<<<<<<<<<<<<<
 *             cdef list stack
 *             cdef int offset
 */
  __pyx_t_4 = ((PyObject *)__pyx_v_self->descr);
  __Pyx_INCREF(__pyx_t_4);
  __pyx_v_descr = ((PyArray_Descr *)__pyx_t_4);
  __pyx_t_4 = 0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":244
 *             cdef int offset
 * 
 *             cdef bint hasfields = PyDataType_HASFIELDS(descr)             # <<<<<<<<<<<<<<
 * 
 *             if not hasfields and not copy_shape:
 */
  __pyx_v_hasfields = PyDataType_HASFIELDS(__pyx_v_descr);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":246
 *             cdef bint hasfields = PyDataType_HASFIELDS(descr)
 * 
 *             if not hasfields and not copy_shape:             # <<<<<<<<<<<<<<
 *                 # do not call releasebuffer
 *                 info.obj = None
 */
  __pyx_t_2 = ((!(__pyx_v_hasfields != 0)) != 0);
  if (__pyx_t_2) {
    __pyx_t_3 = ((!(__pyx_v_copy_shape != 0)) != 0);
    __pyx_t_1 = __pyx_t_3;
  } else {
    __pyx_t_1 = __pyx_t_2;
  }
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":248
 *             if not hasfields and not copy_shape:
 *                 # do not call releasebuffer
 *                 info.obj = None             # <<<<<<<<<<<<<<
 *             else:
 *                 # need to call releasebuffer
 */
    __Pyx_INCREF(Py_None);
    __Pyx_GIVEREF(Py_None);
    __Pyx_GOTREF(__pyx_v_info->obj);
    __Pyx_DECREF(__pyx_v_info->obj);
    __pyx_v_info->obj = Py_None;
    goto __pyx_L10;
  }
  /*else*/ {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":251
 *             else:
 *                 # need to call releasebuffer
 *                 info.obj = self             # <<<<<<<<<<<<<<
 * 
 *             if not hasfields:
 */
    __Pyx_INCREF(((PyObject *)__pyx_v_self));
    __Pyx_GIVEREF(((PyObject *)__pyx_v_self));
    __Pyx_GOTREF(__pyx_v_info->obj);
    __Pyx_DECREF(__pyx_v_info->obj);
    __pyx_v_info->obj = ((PyObject *)__pyx_v_self);
  }
  __pyx_L10:;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":253
 *                 info.obj = self
 * 
 *             if not hasfields:             # <<<<<<<<<<<<<<
 *                 t = descr.type_num
 *                 if ((descr.byteorder == c'>' and little_endian) or
 */
  __pyx_t_1 = ((!(__pyx_v_hasfields != 0)) != 0);
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":254
 * 
 *             if not hasfields:
 *                 t = descr.type_num             # <<<<<<<<<<<<<<
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 */
    __pyx_t_5 = __pyx_v_descr->type_num;
    __pyx_v_t = __pyx_t_5;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":255
 *             if not hasfields:
 *                 t = descr.type_num
 *                 if ((descr.byteorder == c'>' and little_endian) or             # <<<<<<<<<<<<<<
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")
 */
    __pyx_t_1 = ((__pyx_v_descr->byteorder == '>') != 0);
    if (__pyx_t_1) {
      __pyx_t_2 = (__pyx_v_little_endian != 0);
    } else {
      __pyx_t_2 = __pyx_t_1;
    }
    if (!__pyx_t_2) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":256
 *                 t = descr.type_num
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):             # <<<<<<<<<<<<<<
 *                     raise ValueError(u"Non-native byte order not supported")
 *                 if   t == NPY_BYTE:        f = "b"
 */
      __pyx_t_1 = ((__pyx_v_descr->byteorder == '<') != 0);
      if (__pyx_t_1) {
        __pyx_t_3 = ((!(__pyx_v_little_endian != 0)) != 0);
        __pyx_t_7 = __pyx_t_3;
      } else {
        __pyx_t_7 = __pyx_t_1;
      }
      __pyx_t_1 = __pyx_t_7;
    } else {
      __pyx_t_1 = __pyx_t_2;
    }
    if (__pyx_t_1) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":257
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 */
      __pyx_t_4 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__26, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 257; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_Raise(__pyx_t_4, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 257; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":274
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"             # <<<<<<<<<<<<<<
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 */
    switch (__pyx_v_t) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":258
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")
 *                 if   t == NPY_BYTE:        f = "b"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_UBYTE:       f = "B"
 *                 elif t == NPY_SHORT:       f = "h"
 */
      case NPY_BYTE:
      __pyx_v_f = __pyx_k_b;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":259
 *                     raise ValueError(u"Non-native byte order not supported")
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"
 */
      case NPY_UBYTE:
      __pyx_v_f = __pyx_k_B;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":260
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 *                 elif t == NPY_SHORT:       f = "h"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"
 */
      case NPY_SHORT:
      __pyx_v_f = __pyx_k_h;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":261
 *                 elif t == NPY_UBYTE:       f = "B"
 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"
 */
      case NPY_USHORT:
      __pyx_v_f = __pyx_k_H;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":262
 *                 elif t == NPY_SHORT:       f = "h"
 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"
 */
      case NPY_INT:
      __pyx_v_f = __pyx_k_i;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":263
 *                 elif t == NPY_USHORT:      f = "H"
 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"
 */
      case NPY_UINT:
      __pyx_v_f = __pyx_k_I;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":264
 *                 elif t == NPY_INT:         f = "i"
 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"
 */
      case NPY_LONG:
      __pyx_v_f = __pyx_k_l;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":265
 *                 elif t == NPY_UINT:        f = "I"
 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 */
      case NPY_ULONG:
      __pyx_v_f = __pyx_k_L;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":266
 *                 elif t == NPY_LONG:        f = "l"
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"
 */
      case NPY_LONGLONG:
      __pyx_v_f = __pyx_k_q;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":267
 *                 elif t == NPY_ULONG:       f = "L"
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"
 */
      case NPY_ULONGLONG:
      __pyx_v_f = __pyx_k_Q;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":268
 *                 elif t == NPY_LONGLONG:    f = "q"
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 */
      case NPY_FLOAT:
      __pyx_v_f = __pyx_k_f;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":269
 *                 elif t == NPY_ULONGLONG:   f = "Q"
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 */
      case NPY_DOUBLE:
      __pyx_v_f = __pyx_k_d;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":270
 *                 elif t == NPY_FLOAT:       f = "f"
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 */
      case NPY_LONGDOUBLE:
      __pyx_v_f = __pyx_k_g;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":271
 *                 elif t == NPY_DOUBLE:      f = "d"
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 */
      case NPY_CFLOAT:
      __pyx_v_f = __pyx_k_Zf;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":272
 *                 elif t == NPY_LONGDOUBLE:  f = "g"
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"
 */
      case NPY_CDOUBLE:
      __pyx_v_f = __pyx_k_Zd;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":273
 *                 elif t == NPY_CFLOAT:      f = "Zf"
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"             # <<<<<<<<<<<<<<
 *                 elif t == NPY_OBJECT:      f = "O"
 *                 else:
 */
      case NPY_CLONGDOUBLE:
      __pyx_v_f = __pyx_k_Zg;
      break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":274
 *                 elif t == NPY_CDOUBLE:     f = "Zd"
 *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
 *                 elif t == NPY_OBJECT:      f = "O"             # <<<<<<<<<<<<<<
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 */
      case NPY_OBJECT:
      __pyx_v_f = __pyx_k_O;
      break;
      default:

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":276
 *                 elif t == NPY_OBJECT:      f = "O"
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)             # <<<<<<<<<<<<<<
 *                 info.format = f
 *                 return
 */
      __pyx_t_4 = __Pyx_PyInt_From_int(__pyx_v_t); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 276; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_8 = PyUnicode_Format(__pyx_kp_u_unknown_dtype_code_in_numpy_pxd, __pyx_t_4); if (unlikely(!__pyx_t_8)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 276; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 276; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_8);
      __Pyx_GIVEREF(__pyx_t_8);
      __pyx_t_8 = 0;
      __pyx_t_8 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_t_4, NULL); if (unlikely(!__pyx_t_8)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 276; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_8);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __Pyx_Raise(__pyx_t_8, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_8); __pyx_t_8 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 276; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      break;
    }

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":277
 *                 else:
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 *                 info.format = f             # <<<<<<<<<<<<<<
 *                 return
 *             else:
 */
    __pyx_v_info->format = __pyx_v_f;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":278
 *                     raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 *                 info.format = f
 *                 return             # <<<<<<<<<<<<<<
 *             else:
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)
 */
    __pyx_r = 0;
    goto __pyx_L0;
  }
  /*else*/ {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":280
 *                 return
 *             else:
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)             # <<<<<<<<<<<<<<
 *                 info.format[0] = c'^' # Native data types, manual alignment
 *                 offset = 0
 */
    __pyx_v_info->format = ((char *)malloc(255));

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":281
 *             else:
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)
 *                 info.format[0] = c'^' # Native data types, manual alignment             # <<<<<<<<<<<<<<
 *                 offset = 0
 *                 f = _util_dtypestring(descr, info.format + 1,
 */
    (__pyx_v_info->format[0]) = '^';

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":282
 *                 info.format = <char*>stdlib.malloc(_buffer_format_string_len)
 *                 info.format[0] = c'^' # Native data types, manual alignment
 *                 offset = 0             # <<<<<<<<<<<<<<
 *                 f = _util_dtypestring(descr, info.format + 1,
 *                                       info.format + _buffer_format_string_len,
 */
    __pyx_v_offset = 0;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":283
 *                 info.format[0] = c'^' # Native data types, manual alignment
 *                 offset = 0
 *                 f = _util_dtypestring(descr, info.format + 1,             # <<<<<<<<<<<<<<
 *                                       info.format + _buffer_format_string_len,
 *                                       &offset)
 */
    __pyx_t_9 = __pyx_f_5numpy__util_dtypestring(__pyx_v_descr, (__pyx_v_info->format + 1), (__pyx_v_info->format + 255), (&__pyx_v_offset)); if (unlikely(__pyx_t_9 == NULL)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 283; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_v_f = __pyx_t_9;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":286
 *                                       info.format + _buffer_format_string_len,
 *                                       &offset)
 *                 f[0] = c'\0' # Terminate format string             # <<<<<<<<<<<<<<
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):
 */
    (__pyx_v_f[0]) = '\x00';
  }

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":194
 *         # experimental exception made for __getbuffer__ and __releasebuffer__
 *         # -- the details of this may change.
 *         def __getbuffer__(ndarray self, Py_buffer* info, int flags):             # <<<<<<<<<<<<<<
 *             # This implementation of getbuffer is geared towards Cython
 *             # requirements, and does not yet fullfill the PEP.
 */

  /* function exit code */
  __pyx_r = 0;
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_XDECREF(__pyx_t_8);
  __Pyx_AddTraceback("numpy.ndarray.__getbuffer__", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = -1;
  if (__pyx_v_info != NULL && __pyx_v_info->obj != NULL) {
    __Pyx_GOTREF(__pyx_v_info->obj);
    __Pyx_DECREF(__pyx_v_info->obj); __pyx_v_info->obj = NULL;
  }
  goto __pyx_L2;
  __pyx_L0:;
  if (__pyx_v_info != NULL && __pyx_v_info->obj == Py_None) {
    __Pyx_GOTREF(Py_None);
    __Pyx_DECREF(Py_None); __pyx_v_info->obj = NULL;
  }
  __pyx_L2:;
  __Pyx_XDECREF((PyObject *)__pyx_v_descr);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":288
 *                 f[0] = c'\0' # Terminate format string
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):             # <<<<<<<<<<<<<<
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)
 */

/* Python wrapper */
static CYTHON_UNUSED void __pyx_pw_5numpy_7ndarray_3__releasebuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info); /*proto*/
static CYTHON_UNUSED void __pyx_pw_5numpy_7ndarray_3__releasebuffer__(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__releasebuffer__ (wrapper)", 0);
  __pyx_pf_5numpy_7ndarray_2__releasebuffer__(((PyArrayObject *)__pyx_v_self), ((Py_buffer *)__pyx_v_info));

  /* function exit code */
  __Pyx_RefNannyFinishContext();
}

static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info) {
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  __Pyx_RefNannySetupContext("__releasebuffer__", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":289
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):
 *             if PyArray_HASFIELDS(self):             # <<<<<<<<<<<<<<
 *                 stdlib.free(info.format)
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 */
  __pyx_t_1 = (PyArray_HASFIELDS(__pyx_v_self) != 0);
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":290
 *         def __releasebuffer__(ndarray self, Py_buffer* info):
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)             # <<<<<<<<<<<<<<
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 *                 stdlib.free(info.strides)
 */
    free(__pyx_v_info->format);
    goto __pyx_L3;
  }
  __pyx_L3:;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":291
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):             # <<<<<<<<<<<<<<
 *                 stdlib.free(info.strides)
 *                 # info.shape was stored after info.strides in the same block
 */
  __pyx_t_1 = (((sizeof(npy_intp)) != (sizeof(Py_ssize_t))) != 0);
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":292
 *                 stdlib.free(info.format)
 *             if sizeof(npy_intp) != sizeof(Py_ssize_t):
 *                 stdlib.free(info.strides)             # <<<<<<<<<<<<<<
 *                 # info.shape was stored after info.strides in the same block
 * 
 */
    free(__pyx_v_info->strides);
    goto __pyx_L4;
  }
  __pyx_L4:;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":288
 *                 f[0] = c'\0' # Terminate format string
 * 
 *         def __releasebuffer__(ndarray self, Py_buffer* info):             # <<<<<<<<<<<<<<
 *             if PyArray_HASFIELDS(self):
 *                 stdlib.free(info.format)
 */

  /* function exit code */
  __Pyx_RefNannyFinishContext();
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":768
 * ctypedef npy_cdouble     complex_t
 * 
 * cdef inline object PyArray_MultiIterNew1(a):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew1(PyObject *__pyx_v_a) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew1", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":769
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 *     return PyArray_MultiIterNew(1, <void*>a)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(1, ((void *)__pyx_v_a)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 769; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":768
 * ctypedef npy_cdouble     complex_t
 * 
 * cdef inline object PyArray_MultiIterNew1(a):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew1", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":771
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew2(PyObject *__pyx_v_a, PyObject *__pyx_v_b) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew2", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":772
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(2, ((void *)__pyx_v_a), ((void *)__pyx_v_b)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 772; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":771
 *     return PyArray_MultiIterNew(1, <void*>a)
 * 
 * cdef inline object PyArray_MultiIterNew2(a, b):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew2", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":774
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew3(PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew3", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":775
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(3, ((void *)__pyx_v_a), ((void *)__pyx_v_b), ((void *)__pyx_v_c)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 775; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":774
 *     return PyArray_MultiIterNew(2, <void*>a, <void*>b)
 * 
 * cdef inline object PyArray_MultiIterNew3(a, b, c):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew3", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":777
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew4(PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew4", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":778
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(4, ((void *)__pyx_v_a), ((void *)__pyx_v_b), ((void *)__pyx_v_c), ((void *)__pyx_v_d)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 778; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":777
 *     return PyArray_MultiIterNew(3, <void*>a, <void*>b, <void*> c)
 * 
 * cdef inline object PyArray_MultiIterNew4(a, b, c, d):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew4", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":780
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_PyArray_MultiIterNew5(PyObject *__pyx_v_a, PyObject *__pyx_v_b, PyObject *__pyx_v_c, PyObject *__pyx_v_d, PyObject *__pyx_v_e) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("PyArray_MultiIterNew5", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":781
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)             # <<<<<<<<<<<<<<
 * 
 * cdef inline char* _util_dtypestring(dtype descr, char* f, char* end, int* offset) except NULL:
 */
  __Pyx_XDECREF(__pyx_r);
  __pyx_t_1 = PyArray_MultiIterNew(5, ((void *)__pyx_v_a), ((void *)__pyx_v_b), ((void *)__pyx_v_c), ((void *)__pyx_v_d), ((void *)__pyx_v_e)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 781; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_r = __pyx_t_1;
  __pyx_t_1 = 0;
  goto __pyx_L0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":780
 *     return PyArray_MultiIterNew(4, <void*>a, <void*>b, <void*>c, <void*> d)
 * 
 * cdef inline object PyArray_MultiIterNew5(a, b, c, d, e):             # <<<<<<<<<<<<<<
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_AddTraceback("numpy.PyArray_MultiIterNew5", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":783
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 * cdef inline char* _util_dtypestring(dtype descr, char* f, char* end, int* offset) except NULL:             # <<<<<<<<<<<<<<
 *     # Recursive utility function used in __getbuffer__ to get format
 *     # string. The new location in the format string is returned.
 */

static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *__pyx_v_descr, char *__pyx_v_f, char *__pyx_v_end, int *__pyx_v_offset) {
  PyArray_Descr *__pyx_v_child = 0;
  int __pyx_v_endian_detector;
  int __pyx_v_little_endian;
  PyObject *__pyx_v_fields = 0;
  PyObject *__pyx_v_childname = NULL;
  PyObject *__pyx_v_new_offset = NULL;
  PyObject *__pyx_v_t = NULL;
  char *__pyx_r;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  Py_ssize_t __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  int __pyx_t_6;
  int __pyx_t_7;
  int __pyx_t_8;
  int __pyx_t_9;
  long __pyx_t_10;
  char *__pyx_t_11;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("_util_dtypestring", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":790
 *     cdef int delta_offset
 *     cdef tuple i
 *     cdef int endian_detector = 1             # <<<<<<<<<<<<<<
 *     cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)
 *     cdef tuple fields
 */
  __pyx_v_endian_detector = 1;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":791
 *     cdef tuple i
 *     cdef int endian_detector = 1
 *     cdef bint little_endian = ((<char*>&endian_detector)[0] != 0)             # <<<<<<<<<<<<<<
 *     cdef tuple fields
 * 
 */
  __pyx_v_little_endian = ((((char *)(&__pyx_v_endian_detector))[0]) != 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":794
 *     cdef tuple fields
 * 
 *     for childname in descr.names:             # <<<<<<<<<<<<<<
 *         fields = descr.fields[childname]
 *         child, new_offset = fields
 */
  if (unlikely(__pyx_v_descr->names == Py_None)) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
    {__pyx_filename = __pyx_f[1]; __pyx_lineno = 794; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_t_1 = __pyx_v_descr->names; __Pyx_INCREF(__pyx_t_1); __pyx_t_2 = 0;
  for (;;) {
    if (__pyx_t_2 >= PyTuple_GET_SIZE(__pyx_t_1)) break;
    #if CYTHON_COMPILING_IN_CPYTHON
    __pyx_t_3 = PyTuple_GET_ITEM(__pyx_t_1, __pyx_t_2); __Pyx_INCREF(__pyx_t_3); __pyx_t_2++; if (unlikely(0 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 794; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    #else
    __pyx_t_3 = PySequence_ITEM(__pyx_t_1, __pyx_t_2); __pyx_t_2++; if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 794; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    #endif
    __Pyx_XDECREF_SET(__pyx_v_childname, __pyx_t_3);
    __pyx_t_3 = 0;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":795
 * 
 *     for childname in descr.names:
 *         fields = descr.fields[childname]             # <<<<<<<<<<<<<<
 *         child, new_offset = fields
 * 
 */
    __pyx_t_3 = PyObject_GetItem(__pyx_v_descr->fields, __pyx_v_childname); if (unlikely(__pyx_t_3 == NULL)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 795; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
    __Pyx_GOTREF(__pyx_t_3);
    if (!(likely(PyTuple_CheckExact(__pyx_t_3))||((__pyx_t_3) == Py_None)||(PyErr_Format(PyExc_TypeError, "Expected %.16s, got %.200s", "tuple", Py_TYPE(__pyx_t_3)->tp_name), 0))) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 795; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_XDECREF_SET(__pyx_v_fields, ((PyObject*)__pyx_t_3));
    __pyx_t_3 = 0;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":796
 *     for childname in descr.names:
 *         fields = descr.fields[childname]
 *         child, new_offset = fields             # <<<<<<<<<<<<<<
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 */
    if (likely(__pyx_v_fields != Py_None)) {
      PyObject* sequence = __pyx_v_fields;
      #if CYTHON_COMPILING_IN_CPYTHON
      Py_ssize_t size = Py_SIZE(sequence);
      #else
      Py_ssize_t size = PySequence_Size(sequence);
      #endif
      if (unlikely(size != 2)) {
        if (size > 2) __Pyx_RaiseTooManyValuesError(2);
        else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size);
        {__pyx_filename = __pyx_f[1]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      #if CYTHON_COMPILING_IN_CPYTHON
      __pyx_t_3 = PyTuple_GET_ITEM(sequence, 0); 
      __pyx_t_4 = PyTuple_GET_ITEM(sequence, 1); 
      __Pyx_INCREF(__pyx_t_3);
      __Pyx_INCREF(__pyx_t_4);
      #else
      __pyx_t_3 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      #endif
    } else {
      __Pyx_RaiseNoneNotIterableError(); {__pyx_filename = __pyx_f[1]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_ptype_5numpy_dtype))))) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 796; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_XDECREF_SET(__pyx_v_child, ((PyArray_Descr *)__pyx_t_3));
    __pyx_t_3 = 0;
    __Pyx_XDECREF_SET(__pyx_v_new_offset, __pyx_t_4);
    __pyx_t_4 = 0;

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":798
 *         child, new_offset = fields
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:             # <<<<<<<<<<<<<<
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")
 * 
 */
    __pyx_t_4 = __Pyx_PyInt_From_int((__pyx_v_offset[0])); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_4);
    __pyx_t_3 = PyNumber_Subtract(__pyx_v_new_offset, __pyx_t_4); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_GOTREF(__pyx_t_3);
    __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
    __pyx_t_5 = __Pyx_PyInt_As_int(__pyx_t_3); if (unlikely((__pyx_t_5 == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 798; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
    __pyx_t_6 = ((((__pyx_v_end - __pyx_v_f) - ((int)__pyx_t_5)) < 15) != 0);
    if (__pyx_t_6) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":799
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")             # <<<<<<<<<<<<<<
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 */
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_RuntimeError, __pyx_tuple__27, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_Raise(__pyx_t_3, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":801
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")
 * 
 *         if ((child.byteorder == c'>' and little_endian) or             # <<<<<<<<<<<<<<
 *             (child.byteorder == c'<' and not little_endian)):
 *             raise ValueError(u"Non-native byte order not supported")
 */
    __pyx_t_6 = ((__pyx_v_child->byteorder == '>') != 0);
    if (__pyx_t_6) {
      __pyx_t_7 = (__pyx_v_little_endian != 0);
    } else {
      __pyx_t_7 = __pyx_t_6;
    }
    if (!__pyx_t_7) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":802
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 *             (child.byteorder == c'<' and not little_endian)):             # <<<<<<<<<<<<<<
 *             raise ValueError(u"Non-native byte order not supported")
 *             # One could encode it in the format string and have Cython
 */
      __pyx_t_6 = ((__pyx_v_child->byteorder == '<') != 0);
      if (__pyx_t_6) {
        __pyx_t_8 = ((!(__pyx_v_little_endian != 0)) != 0);
        __pyx_t_9 = __pyx_t_8;
      } else {
        __pyx_t_9 = __pyx_t_6;
      }
      __pyx_t_6 = __pyx_t_9;
    } else {
      __pyx_t_6 = __pyx_t_7;
    }
    if (__pyx_t_6) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":803
 *         if ((child.byteorder == c'>' and little_endian) or
 *             (child.byteorder == c'<' and not little_endian)):
 *             raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *             # One could encode it in the format string and have Cython
 *             # complain instead, BUT: < and > in format strings also imply
 */
      __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__28, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 803; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __Pyx_Raise(__pyx_t_3, 0, 0, 0);
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      {__pyx_filename = __pyx_f[1]; __pyx_lineno = 803; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":813
 * 
 *         # Output padding bytes
 *         while offset[0] < new_offset:             # <<<<<<<<<<<<<<
 *             f[0] = 120 # "x"; pad byte
 *             f += 1
 */
    while (1) {
      __pyx_t_3 = __Pyx_PyInt_From_int((__pyx_v_offset[0])); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 813; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_t_3, __pyx_v_new_offset, Py_LT); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 813; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 813; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (!__pyx_t_6) break;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":814
 *         # Output padding bytes
 *         while offset[0] < new_offset:
 *             f[0] = 120 # "x"; pad byte             # <<<<<<<<<<<<<<
 *             f += 1
 *             offset[0] += 1
 */
      (__pyx_v_f[0]) = 120;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":815
 *         while offset[0] < new_offset:
 *             f[0] = 120 # "x"; pad byte
 *             f += 1             # <<<<<<<<<<<<<<
 *             offset[0] += 1
 * 
 */
      __pyx_v_f = (__pyx_v_f + 1);

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":816
 *             f[0] = 120 # "x"; pad byte
 *             f += 1
 *             offset[0] += 1             # <<<<<<<<<<<<<<
 * 
 *         offset[0] += child.itemsize
 */
      __pyx_t_10 = 0;
      (__pyx_v_offset[__pyx_t_10]) = ((__pyx_v_offset[__pyx_t_10]) + 1);
    }

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":818
 *             offset[0] += 1
 * 
 *         offset[0] += child.itemsize             # <<<<<<<<<<<<<<
 * 
 *         if not PyDataType_HASFIELDS(child):
 */
    __pyx_t_10 = 0;
    (__pyx_v_offset[__pyx_t_10]) = ((__pyx_v_offset[__pyx_t_10]) + __pyx_v_child->elsize);

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":820
 *         offset[0] += child.itemsize
 * 
 *         if not PyDataType_HASFIELDS(child):             # <<<<<<<<<<<<<<
 *             t = child.type_num
 *             if end - f < 5:
 */
    __pyx_t_6 = ((!(PyDataType_HASFIELDS(__pyx_v_child) != 0)) != 0);
    if (__pyx_t_6) {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":821
 * 
 *         if not PyDataType_HASFIELDS(child):
 *             t = child.type_num             # <<<<<<<<<<<<<<
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")
 */
      __pyx_t_4 = __Pyx_PyInt_From_int(__pyx_v_child->type_num); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 821; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_XDECREF_SET(__pyx_v_t, __pyx_t_4);
      __pyx_t_4 = 0;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":822
 *         if not PyDataType_HASFIELDS(child):
 *             t = child.type_num
 *             if end - f < 5:             # <<<<<<<<<<<<<<
 *                 raise RuntimeError(u"Format string allocated too short.")
 * 
 */
      __pyx_t_6 = (((__pyx_v_end - __pyx_v_f) < 5) != 0);
      if (__pyx_t_6) {

        /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":823
 *             t = child.type_num
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")             # <<<<<<<<<<<<<<
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 */
        __pyx_t_4 = __Pyx_PyObject_Call(__pyx_builtin_RuntimeError, __pyx_tuple__29, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 823; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_Raise(__pyx_t_4, 0, 0, 0);
        __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
        {__pyx_filename = __pyx_f[1]; __pyx_lineno = 823; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":826
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 *             if   t == NPY_BYTE:        f[0] =  98 #"b"             # <<<<<<<<<<<<<<
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_BYTE); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 826; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 826; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 826; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 98;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":827
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 *             if   t == NPY_BYTE:        f[0] =  98 #"b"
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"             # <<<<<<<<<<<<<<
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_UBYTE); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 827; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 827; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 827; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 66;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":828
 *             if   t == NPY_BYTE:        f[0] =  98 #"b"
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"             # <<<<<<<<<<<<<<
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_SHORT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 828; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 828; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 828; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 104;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":829
 *             elif t == NPY_UBYTE:       f[0] =  66 #"B"
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"             # <<<<<<<<<<<<<<
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_USHORT); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 72;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":830
 *             elif t == NPY_SHORT:       f[0] = 104 #"h"
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 *             elif t == NPY_INT:         f[0] = 105 #"i"             # <<<<<<<<<<<<<<
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_INT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 830; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 830; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 830; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 105;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":831
 *             elif t == NPY_USHORT:      f[0] =  72 #"H"
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 *             elif t == NPY_UINT:        f[0] =  73 #"I"             # <<<<<<<<<<<<<<
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_UINT); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 831; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 831; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 831; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 73;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":832
 *             elif t == NPY_INT:         f[0] = 105 #"i"
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 *             elif t == NPY_LONG:        f[0] = 108 #"l"             # <<<<<<<<<<<<<<
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_LONG); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 832; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 832; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 832; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 108;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":833
 *             elif t == NPY_UINT:        f[0] =  73 #"I"
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"             # <<<<<<<<<<<<<<
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_ULONG); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 833; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 833; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 833; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 76;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":834
 *             elif t == NPY_LONG:        f[0] = 108 #"l"
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"             # <<<<<<<<<<<<<<
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_LONGLONG); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 834; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 834; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 834; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 113;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":835
 *             elif t == NPY_ULONG:       f[0] = 76  #"L"
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"             # <<<<<<<<<<<<<<
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 */
      __pyx_t_3 = PyInt_FromLong(NPY_ULONGLONG); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 835; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 835; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 835; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 81;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":836
 *             elif t == NPY_LONGLONG:    f[0] = 113 #"q"
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"             # <<<<<<<<<<<<<<
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_FLOAT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 836; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 836; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 836; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 102;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":837
 *             elif t == NPY_ULONGLONG:   f[0] = 81  #"Q"
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"             # <<<<<<<<<<<<<<
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 */
      __pyx_t_3 = PyInt_FromLong(NPY_DOUBLE); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 837; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 837; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 837; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 100;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":838
 *             elif t == NPY_FLOAT:       f[0] = 102 #"f"
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"             # <<<<<<<<<<<<<<
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 */
      __pyx_t_4 = PyInt_FromLong(NPY_LONGDOUBLE); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 838; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 838; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 838; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 103;
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":839
 *             elif t == NPY_DOUBLE:      f[0] = 100 #"d"
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf             # <<<<<<<<<<<<<<
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg
 */
      __pyx_t_3 = PyInt_FromLong(NPY_CFLOAT); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 839; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 839; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 839; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 90;
        (__pyx_v_f[1]) = 102;
        __pyx_v_f = (__pyx_v_f + 1);
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":840
 *             elif t == NPY_LONGDOUBLE:  f[0] = 103 #"g"
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd             # <<<<<<<<<<<<<<
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"
 */
      __pyx_t_4 = PyInt_FromLong(NPY_CDOUBLE); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 840; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 840; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 840; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 90;
        (__pyx_v_f[1]) = 100;
        __pyx_v_f = (__pyx_v_f + 1);
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":841
 *             elif t == NPY_CFLOAT:      f[0] = 90; f[1] = 102; f += 1 # Zf
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg             # <<<<<<<<<<<<<<
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"
 *             else:
 */
      __pyx_t_3 = PyInt_FromLong(NPY_CLONGDOUBLE); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 841; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_3);
      __pyx_t_4 = PyObject_RichCompare(__pyx_v_t, __pyx_t_3, Py_EQ); __Pyx_XGOTREF(__pyx_t_4); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 841; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 841; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 90;
        (__pyx_v_f[1]) = 103;
        __pyx_v_f = (__pyx_v_f + 1);
        goto __pyx_L11;
      }

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":842
 *             elif t == NPY_CDOUBLE:     f[0] = 90; f[1] = 100; f += 1 # Zd
 *             elif t == NPY_CLONGDOUBLE: f[0] = 90; f[1] = 103; f += 1 # Zg
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"             # <<<<<<<<<<<<<<
 *             else:
 *                 raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 */
      __pyx_t_4 = PyInt_FromLong(NPY_OBJECT); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 842; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __pyx_t_3 = PyObject_RichCompare(__pyx_v_t, __pyx_t_4, Py_EQ); __Pyx_XGOTREF(__pyx_t_3); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 842; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
      __pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 842; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
      if (__pyx_t_6) {
        (__pyx_v_f[0]) = 79;
        goto __pyx_L11;
      }
      /*else*/ {

        /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":844
 *             elif t == NPY_OBJECT:      f[0] = 79 #"O"
 *             else:
 *                 raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)             # <<<<<<<<<<<<<<
 *             f += 1
 *         else:
 */
        __pyx_t_3 = PyUnicode_Format(__pyx_kp_u_unknown_dtype_code_in_numpy_pxd, __pyx_v_t); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_3);
        __pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
        __Pyx_GIVEREF(__pyx_t_3);
        __pyx_t_3 = 0;
        __pyx_t_3 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_t_4, NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_3);
        __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
        __Pyx_Raise(__pyx_t_3, 0, 0, 0);
        __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
        {__pyx_filename = __pyx_f[1]; __pyx_lineno = 844; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_L11:;

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":845
 *             else:
 *                 raise ValueError(u"unknown dtype code in numpy.pxd (%d)" % t)
 *             f += 1             # <<<<<<<<<<<<<<
 *         else:
 *             # Cython ignores struct boundary information ("T{...}"),
 */
      __pyx_v_f = (__pyx_v_f + 1);
      goto __pyx_L9;
    }
    /*else*/ {

      /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":849
 *             # Cython ignores struct boundary information ("T{...}"),
 *             # so don't output it
 *             f = _util_dtypestring(child, f, end, offset)             # <<<<<<<<<<<<<<
 *     return f
 * 
 */
      __pyx_t_11 = __pyx_f_5numpy__util_dtypestring(__pyx_v_child, __pyx_v_f, __pyx_v_end, __pyx_v_offset); if (unlikely(__pyx_t_11 == NULL)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 849; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __pyx_v_f = __pyx_t_11;
    }
    __pyx_L9:;
  }
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":850
 *             # so don't output it
 *             f = _util_dtypestring(child, f, end, offset)
 *     return f             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_f;
  goto __pyx_L0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":783
 *     return PyArray_MultiIterNew(5, <void*>a, <void*>b, <void*>c, <void*> d, <void*> e)
 * 
 * cdef inline char* _util_dtypestring(dtype descr, char* f, char* end, int* offset) except NULL:             # <<<<<<<<<<<<<<
 *     # Recursive utility function used in __getbuffer__ to get format
 *     # string. The new location in the format string is returned.
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  __Pyx_AddTraceback("numpy._util_dtypestring", __pyx_clineno, __pyx_lineno, __pyx_filename);
  __pyx_r = NULL;
  __pyx_L0:;
  __Pyx_XDECREF((PyObject *)__pyx_v_child);
  __Pyx_XDECREF(__pyx_v_fields);
  __Pyx_XDECREF(__pyx_v_childname);
  __Pyx_XDECREF(__pyx_v_new_offset);
  __Pyx_XDECREF(__pyx_v_t);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":966
 * 
 * 
 * cdef inline void set_array_base(ndarray arr, object base):             # <<<<<<<<<<<<<<
 *      cdef PyObject* baseptr
 *      if base is None:
 */

static CYTHON_INLINE void __pyx_f_5numpy_set_array_base(PyArrayObject *__pyx_v_arr, PyObject *__pyx_v_base) {
  PyObject *__pyx_v_baseptr;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  __Pyx_RefNannySetupContext("set_array_base", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":968
 * cdef inline void set_array_base(ndarray arr, object base):
 *      cdef PyObject* baseptr
 *      if base is None:             # <<<<<<<<<<<<<<
 *          baseptr = NULL
 *      else:
 */
  __pyx_t_1 = (__pyx_v_base == Py_None);
  __pyx_t_2 = (__pyx_t_1 != 0);
  if (__pyx_t_2) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":969
 *      cdef PyObject* baseptr
 *      if base is None:
 *          baseptr = NULL             # <<<<<<<<<<<<<<
 *      else:
 *          Py_INCREF(base) # important to do this before decref below!
 */
    __pyx_v_baseptr = NULL;
    goto __pyx_L3;
  }
  /*else*/ {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":971
 *          baseptr = NULL
 *      else:
 *          Py_INCREF(base) # important to do this before decref below!             # <<<<<<<<<<<<<<
 *          baseptr = <PyObject*>base
 *      Py_XDECREF(arr.base)
 */
    Py_INCREF(__pyx_v_base);

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":972
 *      else:
 *          Py_INCREF(base) # important to do this before decref below!
 *          baseptr = <PyObject*>base             # <<<<<<<<<<<<<<
 *      Py_XDECREF(arr.base)
 *      arr.base = baseptr
 */
    __pyx_v_baseptr = ((PyObject *)__pyx_v_base);
  }
  __pyx_L3:;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":973
 *          Py_INCREF(base) # important to do this before decref below!
 *          baseptr = <PyObject*>base
 *      Py_XDECREF(arr.base)             # <<<<<<<<<<<<<<
 *      arr.base = baseptr
 * 
 */
  Py_XDECREF(__pyx_v_arr->base);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":974
 *          baseptr = <PyObject*>base
 *      Py_XDECREF(arr.base)
 *      arr.base = baseptr             # <<<<<<<<<<<<<<
 * 
 * cdef inline object get_array_base(ndarray arr):
 */
  __pyx_v_arr->base = __pyx_v_baseptr;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":966
 * 
 * 
 * cdef inline void set_array_base(ndarray arr, object base):             # <<<<<<<<<<<<<<
 *      cdef PyObject* baseptr
 *      if base is None:
 */

  /* function exit code */
  __Pyx_RefNannyFinishContext();
}

/* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":976
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */

static CYTHON_INLINE PyObject *__pyx_f_5numpy_get_array_base(PyArrayObject *__pyx_v_arr) {
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  __Pyx_RefNannySetupContext("get_array_base", 0);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":977
 * 
 * cdef inline object get_array_base(ndarray arr):
 *     if arr.base is NULL:             # <<<<<<<<<<<<<<
 *         return None
 *     else:
 */
  __pyx_t_1 = ((__pyx_v_arr->base == NULL) != 0);
  if (__pyx_t_1) {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":978
 * cdef inline object get_array_base(ndarray arr):
 *     if arr.base is NULL:
 *         return None             # <<<<<<<<<<<<<<
 *     else:
 *         return <object>arr.base
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(Py_None);
    __pyx_r = Py_None;
    goto __pyx_L0;
  }
  /*else*/ {

    /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":980
 *         return None
 *     else:
 *         return <object>arr.base             # <<<<<<<<<<<<<<
 */
    __Pyx_XDECREF(__pyx_r);
    __Pyx_INCREF(((PyObject *)__pyx_v_arr->base));
    __pyx_r = ((PyObject *)__pyx_v_arr->base);
    goto __pyx_L0;
  }

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":976
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */

  /* function exit code */
  __pyx_L0:;
  __Pyx_XGIVEREF(__pyx_r);
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};

#if PY_MAJOR_VERSION >= 3
static struct PyModuleDef __pyx_moduledef = {
  #if PY_VERSION_HEX < 0x03020000
    { PyObject_HEAD_INIT(NULL) NULL, 0, NULL },
  #else
    PyModuleDef_HEAD_INIT,
  #endif
    __Pyx_NAMESTR("scattnlay"),
    0, /* m_doc */
    -1, /* m_size */
    __pyx_methods /* m_methods */,
    NULL, /* m_reload */
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif

static __Pyx_StringTabEntry __pyx_string_tab[] = {
  {&__pyx_n_s_Albedo, __pyx_k_Albedo, sizeof(__pyx_k_Albedo), 0, 0, 1, 1},
  {&__pyx_n_s_C, __pyx_k_C, sizeof(__pyx_k_C), 0, 0, 1, 1},
  {&__pyx_n_s_C_CONTIGUOUS, __pyx_k_C_CONTIGUOUS, sizeof(__pyx_k_C_CONTIGUOUS), 0, 0, 1, 1},
  {&__pyx_n_s_E, __pyx_k_E, sizeof(__pyx_k_E), 0, 0, 1, 1},
  {&__pyx_n_s_Ei, __pyx_k_Ei, sizeof(__pyx_k_Ei), 0, 0, 1, 1},
  {&__pyx_n_s_Er, __pyx_k_Er, sizeof(__pyx_k_Er), 0, 0, 1, 1},
  {&__pyx_kp_u_Format_string_allocated_too_shor, __pyx_k_Format_string_allocated_too_shor, sizeof(__pyx_k_Format_string_allocated_too_shor), 0, 1, 0, 0},
  {&__pyx_kp_u_Format_string_allocated_too_shor_2, __pyx_k_Format_string_allocated_too_shor_2, sizeof(__pyx_k_Format_string_allocated_too_shor_2), 0, 1, 0, 0},
  {&__pyx_n_s_H, __pyx_k_H, sizeof(__pyx_k_H), 0, 0, 1, 1},
  {&__pyx_n_s_Hi, __pyx_k_Hi, sizeof(__pyx_k_Hi), 0, 0, 1, 1},
  {&__pyx_n_s_Hr, __pyx_k_Hr, sizeof(__pyx_k_Hr), 0, 0, 1, 1},
  {&__pyx_kp_u_Non_native_byte_order_not_suppor, __pyx_k_Non_native_byte_order_not_suppor, sizeof(__pyx_k_Non_native_byte_order_not_suppor), 0, 1, 0, 0},
  {&__pyx_n_s_Qabs, __pyx_k_Qabs, sizeof(__pyx_k_Qabs), 0, 0, 1, 1},
  {&__pyx_n_s_Qbk, __pyx_k_Qbk, sizeof(__pyx_k_Qbk), 0, 0, 1, 1},
  {&__pyx_n_s_Qext, __pyx_k_Qext, sizeof(__pyx_k_Qext), 0, 0, 1, 1},
  {&__pyx_n_s_Qpr, __pyx_k_Qpr, sizeof(__pyx_k_Qpr), 0, 0, 1, 1},
  {&__pyx_n_s_Qsca, __pyx_k_Qsca, sizeof(__pyx_k_Qsca), 0, 0, 1, 1},
  {&__pyx_n_s_RuntimeError, __pyx_k_RuntimeError, sizeof(__pyx_k_RuntimeError), 0, 0, 1, 1},
  {&__pyx_n_s_S1, __pyx_k_S1, sizeof(__pyx_k_S1), 0, 0, 1, 1},
  {&__pyx_n_s_S1i, __pyx_k_S1i, sizeof(__pyx_k_S1i), 0, 0, 1, 1},
  {&__pyx_n_s_S1r, __pyx_k_S1r, sizeof(__pyx_k_S1r), 0, 0, 1, 1},
  {&__pyx_n_s_S2, __pyx_k_S2, sizeof(__pyx_k_S2), 0, 0, 1, 1},
  {&__pyx_n_s_S2i, __pyx_k_S2i, sizeof(__pyx_k_S2i), 0, 0, 1, 1},
  {&__pyx_n_s_S2r, __pyx_k_S2r, sizeof(__pyx_k_S2r), 0, 0, 1, 1},
  {&__pyx_n_s_ValueError, __pyx_k_ValueError, sizeof(__pyx_k_ValueError), 0, 0, 1, 1},
  {&__pyx_n_s_complex128, __pyx_k_complex128, sizeof(__pyx_k_complex128), 0, 0, 1, 1},
  {&__pyx_n_s_coords, __pyx_k_coords, sizeof(__pyx_k_coords), 0, 0, 1, 1},
  {&__pyx_n_s_copy, __pyx_k_copy, sizeof(__pyx_k_copy), 0, 0, 1, 1},
  {&__pyx_n_s_dtype, __pyx_k_dtype, sizeof(__pyx_k_dtype), 0, 0, 1, 1},
  {&__pyx_n_s_fieldnlay, __pyx_k_fieldnlay, sizeof(__pyx_k_fieldnlay), 0, 0, 1, 1},
  {&__pyx_n_s_flags, __pyx_k_flags, sizeof(__pyx_k_flags), 0, 0, 1, 1},
  {&__pyx_n_s_float64, __pyx_k_float64, sizeof(__pyx_k_float64), 0, 0, 1, 1},
  {&__pyx_n_s_g, __pyx_k_g, sizeof(__pyx_k_g), 0, 0, 1, 1},
  {&__pyx_kp_s_home_ovidio_scattering_scattnla, __pyx_k_home_ovidio_scattering_scattnla, sizeof(__pyx_k_home_ovidio_scattering_scattnla), 0, 0, 1, 0},
  {&__pyx_n_s_i, __pyx_k_i, sizeof(__pyx_k_i), 0, 0, 1, 1},
  {&__pyx_n_s_imag, __pyx_k_imag, sizeof(__pyx_k_imag), 0, 0, 1, 1},
  {&__pyx_n_s_import, __pyx_k_import, sizeof(__pyx_k_import), 0, 0, 1, 1},
  {&__pyx_n_s_int, __pyx_k_int, sizeof(__pyx_k_int), 0, 0, 1, 1},
  {&__pyx_n_s_m, __pyx_k_m, sizeof(__pyx_k_m), 0, 0, 1, 1},
  {&__pyx_n_s_main, __pyx_k_main, sizeof(__pyx_k_main), 0, 0, 1, 1},
  {&__pyx_n_s_n_max, __pyx_k_n_max, sizeof(__pyx_k_n_max), 0, 0, 1, 1},
  {&__pyx_kp_u_ndarray_is_not_C_contiguous, __pyx_k_ndarray_is_not_C_contiguous, sizeof(__pyx_k_ndarray_is_not_C_contiguous), 0, 1, 0, 0},
  {&__pyx_kp_u_ndarray_is_not_Fortran_contiguou, __pyx_k_ndarray_is_not_Fortran_contiguou, sizeof(__pyx_k_ndarray_is_not_Fortran_contiguou), 0, 1, 0, 0},
  {&__pyx_n_s_np, __pyx_k_np, sizeof(__pyx_k_np), 0, 0, 1, 1},
  {&__pyx_n_s_numpy, __pyx_k_numpy, sizeof(__pyx_k_numpy), 0, 0, 1, 1},
  {&__pyx_n_s_pl, __pyx_k_pl, sizeof(__pyx_k_pl), 0, 0, 1, 1},
  {&__pyx_n_s_pyx_getbuffer, __pyx_k_pyx_getbuffer, sizeof(__pyx_k_pyx_getbuffer), 0, 0, 1, 1},
  {&__pyx_n_s_pyx_releasebuffer, __pyx_k_pyx_releasebuffer, sizeof(__pyx_k_pyx_releasebuffer), 0, 0, 1, 1},
  {&__pyx_n_s_range, __pyx_k_range, sizeof(__pyx_k_range), 0, 0, 1, 1},
  {&__pyx_n_s_real, __pyx_k_real, sizeof(__pyx_k_real), 0, 0, 1, 1},
  {&__pyx_n_s_scattnlay, __pyx_k_scattnlay, sizeof(__pyx_k_scattnlay), 0, 0, 1, 1},
  {&__pyx_n_s_terms, __pyx_k_terms, sizeof(__pyx_k_terms), 0, 0, 1, 1},
  {&__pyx_n_s_test, __pyx_k_test, sizeof(__pyx_k_test), 0, 0, 1, 1},
  {&__pyx_n_s_theta, __pyx_k_theta, sizeof(__pyx_k_theta), 0, 0, 1, 1},
  {&__pyx_kp_u_unknown_dtype_code_in_numpy_pxd, __pyx_k_unknown_dtype_code_in_numpy_pxd, sizeof(__pyx_k_unknown_dtype_code_in_numpy_pxd), 0, 1, 0, 0},
  {&__pyx_n_s_x, __pyx_k_x, sizeof(__pyx_k_x), 0, 0, 1, 1},
  {&__pyx_n_s_zeros, __pyx_k_zeros, sizeof(__pyx_k_zeros), 0, 0, 1, 1},
  {0, 0, 0, 0, 0, 0, 0}
};
static int __Pyx_InitCachedBuiltins(void) {
  __pyx_builtin_range = __Pyx_GetBuiltinName(__pyx_n_s_range); if (!__pyx_builtin_range) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 63; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s_ValueError); if (!__pyx_builtin_ValueError) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 215; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_builtin_RuntimeError = __Pyx_GetBuiltinName(__pyx_n_s_RuntimeError); if (!__pyx_builtin_RuntimeError) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  return 0;
  __pyx_L1_error:;
  return -1;
}

static int __Pyx_InitCachedConstants(void) {
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);

  /* "scattnlay.pyx":33
 * 
 *     if not (<object>a).flags["C_CONTIGUOUS"]: # Array is not contiguous, need to make contiguous copy
 *         a = a.copy('C')             # <<<<<<<<<<<<<<
 * 
 *     # Return data pointer
 */
  __pyx_tuple_ = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple_)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 33; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple_);
  __Pyx_GIVEREF(__pyx_tuple_);

  /* "scattnlay.pyx":69
 *         S2i = np.zeros(theta.shape[0], dtype = np.float64)
 * 
 *         terms[i] = nfMieScatt(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), theta.shape[0], npy2c(theta), n_max, &Qext[i], &Qsca[i], &Qabs[i], &Qbk[i], &Qpr[i], &g[i], &Albedo[i], npy2c(S1r), npy2c(S1i), npy2c(S2r), npy2c(S2i))             # <<<<<<<<<<<<<<
 * 
 *         S1[i] = S1r.copy('C') + 1.0j*S1i.copy('C')
 */
  __pyx_tuple__3 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__3);
  __Pyx_GIVEREF(__pyx_tuple__3);
  __pyx_tuple__4 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__4);
  __Pyx_GIVEREF(__pyx_tuple__4);
  __pyx_tuple__5 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 69; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__5);
  __Pyx_GIVEREF(__pyx_tuple__5);

  /* "scattnlay.pyx":71
 *         terms[i] = nfMieScatt(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), theta.shape[0], npy2c(theta), n_max, &Qext[i], &Qsca[i], &Qabs[i], &Qbk[i], &Qpr[i], &g[i], &Albedo[i], npy2c(S1r), npy2c(S1i), npy2c(S2r), npy2c(S2i))
 * 
 *         S1[i] = S1r.copy('C') + 1.0j*S1i.copy('C')             # <<<<<<<<<<<<<<
 *         S2[i] = S2r.copy('C') + 1.0j*S2i.copy('C')
 * 
 */
  __pyx_tuple__6 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__6);
  __Pyx_GIVEREF(__pyx_tuple__6);
  __pyx_tuple__7 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 71; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__7);
  __Pyx_GIVEREF(__pyx_tuple__7);

  /* "scattnlay.pyx":72
 * 
 *         S1[i] = S1r.copy('C') + 1.0j*S1i.copy('C')
 *         S2[i] = S2r.copy('C') + 1.0j*S2i.copy('C')             # <<<<<<<<<<<<<<
 * 
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
 */
  __pyx_tuple__8 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__8);
  __Pyx_GIVEREF(__pyx_tuple__8);
  __pyx_tuple__9 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__9)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 72; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__9);
  __Pyx_GIVEREF(__pyx_tuple__9);

  /* "scattnlay.pyx":95
 *         Hi = np.zeros(coords.shape[0], dtype = np.float64)
 * 
 *         terms[i] = nfMieField(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), n_max, coords.shape[0], npy2c(coords[:, 0]), npy2c(coords[:, 1]), npy2c(coords[:, 2]), npy2c(Er), npy2c(Ei), npy2c(Hr), npy2c(Hi))             # <<<<<<<<<<<<<<
 * 
 *         E[i] = Er.copy('C') + 1.0j*Ei.copy('C')
 */
  __pyx_tuple__11 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__11)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__11);
  __Pyx_GIVEREF(__pyx_tuple__11);
  __pyx_tuple__12 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__12)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__12);
  __Pyx_GIVEREF(__pyx_tuple__12);
  __pyx_tuple__13 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__13)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__13);
  __Pyx_GIVEREF(__pyx_tuple__13);
  __pyx_slice__14 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__14)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__14);
  __Pyx_GIVEREF(__pyx_slice__14);
  __pyx_tuple__15 = PyTuple_Pack(2, __pyx_slice__14, __pyx_int_0); if (unlikely(!__pyx_tuple__15)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__15);
  __Pyx_GIVEREF(__pyx_tuple__15);
  __pyx_slice__16 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__16)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__16);
  __Pyx_GIVEREF(__pyx_slice__16);
  __pyx_tuple__17 = PyTuple_Pack(2, __pyx_slice__16, __pyx_int_1); if (unlikely(!__pyx_tuple__17)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__17);
  __Pyx_GIVEREF(__pyx_tuple__17);
  __pyx_slice__18 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__18)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__18);
  __Pyx_GIVEREF(__pyx_slice__18);
  __pyx_tuple__19 = PyTuple_Pack(2, __pyx_slice__18, __pyx_int_2); if (unlikely(!__pyx_tuple__19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 95; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__19);
  __Pyx_GIVEREF(__pyx_tuple__19);

  /* "scattnlay.pyx":97
 *         terms[i] = nfMieField(x.shape[1], pl, npy2c(x[i].copy('C')), npy2c(m[i].real.copy('C')), npy2c(m[i].imag.copy('C')), n_max, coords.shape[0], npy2c(coords[:, 0]), npy2c(coords[:, 1]), npy2c(coords[:, 2]), npy2c(Er), npy2c(Ei), npy2c(Hr), npy2c(Hi))
 * 
 *         E[i] = Er.copy('C') + 1.0j*Ei.copy('C')             # <<<<<<<<<<<<<<
 *         H[i] = Hr.copy('C') + 1.0j*Hi.copy('C')
 * 
 */
  __pyx_tuple__20 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__20)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__20);
  __Pyx_GIVEREF(__pyx_tuple__20);
  __pyx_tuple__21 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__21)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 97; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__21);
  __Pyx_GIVEREF(__pyx_tuple__21);

  /* "scattnlay.pyx":98
 * 
 *         E[i] = Er.copy('C') + 1.0j*Ei.copy('C')
 *         H[i] = Hr.copy('C') + 1.0j*Hi.copy('C')             # <<<<<<<<<<<<<<
 * 
 *     return terms, E, H
 */
  __pyx_tuple__22 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__22)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__22);
  __Pyx_GIVEREF(__pyx_tuple__22);
  __pyx_tuple__23 = PyTuple_Pack(1, __pyx_n_s_C); if (unlikely(!__pyx_tuple__23)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 98; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__23);
  __Pyx_GIVEREF(__pyx_tuple__23);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":215
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 */
  __pyx_tuple__24 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_C_contiguous); if (unlikely(!__pyx_tuple__24)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 215; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__24);
  __Pyx_GIVEREF(__pyx_tuple__24);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":219
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")             # <<<<<<<<<<<<<<
 * 
 *             info.buf = PyArray_DATA(self)
 */
  __pyx_tuple__25 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_Fortran_contiguou); if (unlikely(!__pyx_tuple__25)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 219; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__25);
  __Pyx_GIVEREF(__pyx_tuple__25);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":257
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 */
  __pyx_tuple__26 = PyTuple_Pack(1, __pyx_kp_u_Non_native_byte_order_not_suppor); if (unlikely(!__pyx_tuple__26)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 257; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__26);
  __Pyx_GIVEREF(__pyx_tuple__26);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":799
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")             # <<<<<<<<<<<<<<
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 */
  __pyx_tuple__27 = PyTuple_Pack(1, __pyx_kp_u_Format_string_allocated_too_shor); if (unlikely(!__pyx_tuple__27)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 799; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__27);
  __Pyx_GIVEREF(__pyx_tuple__27);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":803
 *         if ((child.byteorder == c'>' and little_endian) or
 *             (child.byteorder == c'<' and not little_endian)):
 *             raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *             # One could encode it in the format string and have Cython
 *             # complain instead, BUT: < and > in format strings also imply
 */
  __pyx_tuple__28 = PyTuple_Pack(1, __pyx_kp_u_Non_native_byte_order_not_suppor); if (unlikely(!__pyx_tuple__28)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 803; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__28);
  __Pyx_GIVEREF(__pyx_tuple__28);

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":823
 *             t = child.type_num
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")             # <<<<<<<<<<<<<<
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 */
  __pyx_tuple__29 = PyTuple_Pack(1, __pyx_kp_u_Format_string_allocated_too_shor_2); if (unlikely(!__pyx_tuple__29)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 823; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__29);
  __Pyx_GIVEREF(__pyx_tuple__29);

  /* "scattnlay.pyx":42
 *     int nfMieField(int L, int pl, double x[], double mr[], double mi[], int n_max, int nCoords, double Xp[], double Yp[], double Zp[], double Er[], double Ei[], double Hr[], double Hi[])
 * 
 * def scattnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 1] theta = np.zeros(0, dtype = np.float64), Py_ssize_t pl = -1, Py_ssize_t n_max = -1):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */
  __pyx_tuple__30 = PyTuple_Pack(1, __pyx_int_0); if (unlikely(!__pyx_tuple__30)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__30);
  __Pyx_GIVEREF(__pyx_tuple__30);
  __pyx_tuple__31 = PyTuple_Pack(20, __pyx_n_s_x, __pyx_n_s_m, __pyx_n_s_theta, __pyx_n_s_pl, __pyx_n_s_n_max, __pyx_n_s_i, __pyx_n_s_terms, __pyx_n_s_Qext, __pyx_n_s_Qabs, __pyx_n_s_Qsca, __pyx_n_s_Qbk, __pyx_n_s_Qpr, __pyx_n_s_g, __pyx_n_s_Albedo, __pyx_n_s_S1, __pyx_n_s_S2, __pyx_n_s_S1r, __pyx_n_s_S1i, __pyx_n_s_S2r, __pyx_n_s_S2i); if (unlikely(!__pyx_tuple__31)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);
  __pyx_codeobj__32 = (PyObject*)__Pyx_PyCode_New(5, 0, 20, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__31, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_home_ovidio_scattering_scattnla, __pyx_n_s_scattnlay, 42, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__32)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "scattnlay.pyx":76
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
 * 
 * def fieldnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 2] coords = np.zeros((0, 3), dtype = np.float64), Py_ssize_t pl = 0, Py_ssize_t n_max = 0):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */
  __pyx_tuple__33 = PyTuple_Pack(2, __pyx_int_0, __pyx_int_3); if (unlikely(!__pyx_tuple__33)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__33);
  __Pyx_GIVEREF(__pyx_tuple__33);
  __pyx_tuple__34 = PyTuple_Pack(1, __pyx_tuple__33); if (unlikely(!__pyx_tuple__34)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__34);
  __Pyx_GIVEREF(__pyx_tuple__34);
  __pyx_tuple__35 = PyTuple_Pack(13, __pyx_n_s_x, __pyx_n_s_m, __pyx_n_s_coords, __pyx_n_s_pl, __pyx_n_s_n_max, __pyx_n_s_i, __pyx_n_s_terms, __pyx_n_s_E, __pyx_n_s_H, __pyx_n_s_Er, __pyx_n_s_Ei, __pyx_n_s_Hr, __pyx_n_s_Hi); if (unlikely(!__pyx_tuple__35)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__35);
  __Pyx_GIVEREF(__pyx_tuple__35);
  __pyx_codeobj__36 = (PyObject*)__Pyx_PyCode_New(5, 0, 13, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__35, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_home_ovidio_scattering_scattnla, __pyx_n_s_fieldnlay, 76, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__36)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_RefNannyFinishContext();
  return 0;
  __pyx_L1_error:;
  __Pyx_RefNannyFinishContext();
  return -1;
}

static int __Pyx_InitGlobals(void) {
  if (__Pyx_InitStrings(__pyx_string_tab) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  __pyx_int_0 = PyInt_FromLong(0); if (unlikely(!__pyx_int_0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_int_1 = PyInt_FromLong(1); if (unlikely(!__pyx_int_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_int_2 = PyInt_FromLong(2); if (unlikely(!__pyx_int_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_int_3 = PyInt_FromLong(3); if (unlikely(!__pyx_int_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  return 0;
  __pyx_L1_error:;
  return -1;
}

#if PY_MAJOR_VERSION < 3
PyMODINIT_FUNC initscattnlay(void); /*proto*/
PyMODINIT_FUNC initscattnlay(void)
#else
PyMODINIT_FUNC PyInit_scattnlay(void); /*proto*/
PyMODINIT_FUNC PyInit_scattnlay(void)
#endif
{
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannyDeclarations
  #if CYTHON_REFNANNY
  __Pyx_RefNanny = __Pyx_RefNannyImportAPI("refnanny");
  if (!__Pyx_RefNanny) {
      PyErr_Clear();
      __Pyx_RefNanny = __Pyx_RefNannyImportAPI("Cython.Runtime.refnanny");
      if (!__Pyx_RefNanny)
          Py_FatalError("failed to import 'refnanny' module");
  }
  #endif
  __Pyx_RefNannySetupContext("PyMODINIT_FUNC PyInit_scattnlay(void)", 0);
  if ( __Pyx_check_binary_version() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_empty_tuple = PyTuple_New(0); if (unlikely(!__pyx_empty_tuple)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_empty_bytes = PyBytes_FromStringAndSize("", 0); if (unlikely(!__pyx_empty_bytes)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #ifdef __Pyx_CyFunction_USED
  if (__Pyx_CyFunction_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  #ifdef __Pyx_FusedFunction_USED
  if (__pyx_FusedFunction_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  #ifdef __Pyx_Generator_USED
  if (__pyx_Generator_init() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  /*--- Library function declarations ---*/
  /*--- Threads initialization code ---*/
  #if defined(__PYX_FORCE_INIT_THREADS) && __PYX_FORCE_INIT_THREADS
  #ifdef WITH_THREAD /* Python build with threading support? */
  PyEval_InitThreads();
  #endif
  #endif
  /*--- Module creation code ---*/
  #if PY_MAJOR_VERSION < 3
  __pyx_m = Py_InitModule4(__Pyx_NAMESTR("scattnlay"), __pyx_methods, 0, 0, PYTHON_API_VERSION); Py_XINCREF(__pyx_m);
  #else
  __pyx_m = PyModule_Create(&__pyx_moduledef);
  #endif
  if (unlikely(!__pyx_m)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_d = PyModule_GetDict(__pyx_m); if (unlikely(!__pyx_d)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  Py_INCREF(__pyx_d);
  __pyx_b = PyImport_AddModule(__Pyx_NAMESTR(__Pyx_BUILTIN_MODULE_NAME)); if (unlikely(!__pyx_b)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #if CYTHON_COMPILING_IN_PYPY
  Py_INCREF(__pyx_b);
  #endif
  if (__Pyx_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  /*--- Initialize various global constants etc. ---*/
  if (unlikely(__Pyx_InitGlobals() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #if PY_MAJOR_VERSION < 3 && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
  if (__Pyx_init_sys_getdefaultencoding_params() < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  #endif
  if (__pyx_module_is_main_scattnlay) {
    if (__Pyx_SetAttrString(__pyx_m, "__name__", __pyx_n_s_main) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
  }
  #if PY_MAJOR_VERSION >= 3
  {
    PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    if (!PyDict_GetItemString(modules, "scattnlay")) {
      if (unlikely(PyDict_SetItemString(modules, "scattnlay", __pyx_m) < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
  }
  #endif
  /*--- Builtin init code ---*/
  if (unlikely(__Pyx_InitCachedBuiltins() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Constants init code ---*/
  if (unlikely(__Pyx_InitCachedConstants() < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Global init code ---*/
  /*--- Variable export code ---*/
  /*--- Function export code ---*/
  /*--- Type init code ---*/
  /*--- Type import code ---*/
  __pyx_ptype_7cpython_4type_type = __Pyx_ImportType(__Pyx_BUILTIN_MODULE_NAME, "type", 
  #if CYTHON_COMPILING_IN_PYPY
  sizeof(PyTypeObject),
  #else
  sizeof(PyHeapTypeObject),
  #endif
  0); if (unlikely(!__pyx_ptype_7cpython_4type_type)) {__pyx_filename = __pyx_f[2]; __pyx_lineno = 9; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_dtype = __Pyx_ImportType("numpy", "dtype", sizeof(PyArray_Descr), 0); if (unlikely(!__pyx_ptype_5numpy_dtype)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 155; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_flatiter = __Pyx_ImportType("numpy", "flatiter", sizeof(PyArrayIterObject), 0); if (unlikely(!__pyx_ptype_5numpy_flatiter)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 165; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_broadcast = __Pyx_ImportType("numpy", "broadcast", sizeof(PyArrayMultiIterObject), 0); if (unlikely(!__pyx_ptype_5numpy_broadcast)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 169; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_ndarray = __Pyx_ImportType("numpy", "ndarray", sizeof(PyArrayObject), 0); if (unlikely(!__pyx_ptype_5numpy_ndarray)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 178; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_ptype_5numpy_ufunc = __Pyx_ImportType("numpy", "ufunc", sizeof(PyUFuncObject), 0); if (unlikely(!__pyx_ptype_5numpy_ufunc)) {__pyx_filename = __pyx_f[1]; __pyx_lineno = 861; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  /*--- Variable import code ---*/
  /*--- Function import code ---*/
  /*--- Execution code ---*/

  /* "scattnlay.pyx":26
 * 
 * from __future__ import division
 * import numpy as np             # <<<<<<<<<<<<<<
 * cimport numpy as np
 * 
 */
  __pyx_t_1 = __Pyx_Import(__pyx_n_s_numpy, 0, -1); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 26; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_np, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 26; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "scattnlay.pyx":42
 *     int nfMieField(int L, int pl, double x[], double mr[], double mi[], int n_max, int nCoords, double Xp[], double Yp[], double Zp[], double Er[], double Ei[], double Hr[], double Hi[])
 * 
 * def scattnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 1] theta = np.zeros(0, dtype = np.float64), Py_ssize_t pl = -1, Py_ssize_t n_max = -1):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */
  __pyx_t_1 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __Pyx_PyObject_GetAttrStr(__pyx_t_1, __pyx_n_s_zeros); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_t_3, __pyx_n_s_float64); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  if (PyDict_SetItem(__pyx_t_1, __pyx_n_s_dtype, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_2, __pyx_tuple__30, __pyx_t_1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_k__2 = ((PyArrayObject *)__pyx_t_4);
  __Pyx_GIVEREF(__pyx_t_4);
  __pyx_t_4 = 0;
  __pyx_t_4 = PyCFunction_NewEx(&__pyx_mdef_9scattnlay_1scattnlay, NULL, __pyx_n_s_scattnlay); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_scattnlay, __pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 42; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

  /* "scattnlay.pyx":76
 *     return terms, Qext, Qsca, Qabs, Qbk, Qpr, g, Albedo, S1, S2
 * 
 * def fieldnlay(np.ndarray[np.float64_t, ndim = 2] x, np.ndarray[np.complex128_t, ndim = 2] m, np.ndarray[np.float64_t, ndim = 2] coords = np.zeros((0, 3), dtype = np.float64), Py_ssize_t pl = 0, Py_ssize_t n_max = 0):             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t i
 * 
 */
  __pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_1 = __Pyx_PyObject_GetAttrStr(__pyx_t_4, __pyx_n_s_zeros); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  __pyx_t_4 = PyDict_New(); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_4);
  __pyx_t_2 = __Pyx_GetModuleGlobalName(__pyx_n_s_np); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_2);
  __pyx_t_3 = __Pyx_PyObject_GetAttrStr(__pyx_t_2, __pyx_n_s_float64); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
  if (PyDict_SetItem(__pyx_t_4, __pyx_n_s_dtype, __pyx_t_3) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
  __pyx_t_3 = __Pyx_PyObject_Call(__pyx_t_1, __pyx_tuple__34, __pyx_t_4); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
  if (!(likely(((__pyx_t_3) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_3, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __pyx_k__10 = ((PyArrayObject *)__pyx_t_3);
  __Pyx_GIVEREF(__pyx_t_3);
  __pyx_t_3 = 0;
  __pyx_t_3 = PyCFunction_NewEx(&__pyx_mdef_9scattnlay_3fieldnlay, NULL, __pyx_n_s_scattnlay); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_fieldnlay, __pyx_t_3) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 76; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "scattnlay.pyx":1
 * #    Copyright (C) 2009-2015  Ovidio Pena <ovidio@bytesfall.com>             # <<<<<<<<<<<<<<
 * #
 * #    This file is part of python-scattnlay
 */
  __pyx_t_3 = PyDict_New(); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_3);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_3) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;

  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":976
 *      arr.base = baseptr
 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_XDECREF(__pyx_t_2);
  __Pyx_XDECREF(__pyx_t_3);
  __Pyx_XDECREF(__pyx_t_4);
  if (__pyx_m) {
    __Pyx_AddTraceback("init scattnlay", __pyx_clineno, __pyx_lineno, __pyx_filename);
    Py_DECREF(__pyx_m); __pyx_m = 0;
  } else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_ImportError, "init scattnlay");
  }
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  #if PY_MAJOR_VERSION < 3
  return;
  #else
  return __pyx_m;
  #endif
}

/* Runtime support code */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
    void *r = NULL;
    m = PyImport_ImportModule((char *)modname);
    if (!m) goto end;
    p = PyObject_GetAttrString(m, (char *)"RefNannyAPI");
    if (!p) goto end;
    r = PyLong_AsVoidPtr(p);
end:
    Py_XDECREF(p);
    Py_XDECREF(m);
    return (__Pyx_RefNannyAPIStruct *)r;
}
#endif /* CYTHON_REFNANNY */

static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (result) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
#if PY_VERSION_HEX >= 0x02060000
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
#endif
    result = (*call)(func, arg, kw);
#if PY_VERSION_HEX >= 0x02060000
    Py_LeaveRecursiveCall();
#endif
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    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);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __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);
    }
}

static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) {
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
}
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (likely(Py_TYPE(obj) == type)) return 1;
        #if PY_MAJOR_VERSION == 2
        else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
    }
    __Pyx_RaiseArgumentTypeInvalid(name, obj, type);
    return 0;
}

static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}
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) /* First char was not a digit */
        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 '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 '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 '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; /* Consume from buffer string */
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break; /* breaks both loops as ctx->enc_count == 0 */
      }
      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; /* empty struct */
        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 CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->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;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;  /* not a 'break' in the loop */
        }
        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_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          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': /* substruct */
        {
          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; /* Erase processed last struct element */
          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 '}': /* end of substruct; either repeat or move on */
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          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;
        }
      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->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
      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;
        }
    }
  }
}
static CYTHON_INLINE 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 CYTHON_INLINE int __Pyx_GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (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 ((unsigned)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_ZeroBuffer(buf);
  return -1;
}
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

static CYTHON_INLINE 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,
                                                              int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyList_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, 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,
                                                              int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyTuple_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, 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, int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely((n >= 0) & (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((n >= 0) & (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))
                        PyErr_Clear();
                    else
                        return NULL;
                }
            }
            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));
}

static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}

static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely((n >= 0) & (n < PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_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))
                        PyErr_Clear();
                    else
                        return -1;
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o))) {
#else
    if (is_list || PySequence_Check(o)) {
#endif
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    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 PY_VERSION_HEX < 0x02050000
    if (PyClass_Check(type)) {
    #else
    if (PyType_Check(type)) {
    #endif
#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;
        #if PY_VERSION_HEX < 0x02050000
        if (PyInstance_Check(type)) {
            type = (PyObject*) ((PyInstanceObject*)type)->in_class;
            Py_INCREF(type);
        } else {
            type = 0;
            PyErr_SetString(PyExc_TypeError,
                "raise: exception must be an old-style class or instance");
            goto raise_error;
        }
        #else
        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;
        }
        #endif
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else /* Python 3+ */
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) {
                if (PyObject_IsSubclass(instance_class, type)) {
                    type = instance_class;
                } else {
                    instance_class = NULL;
                }
            }
        }
        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 PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        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) {
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict) {
        PyObject *getbuffer_cobj = PyObject_GetItem(
            obj->ob_type->tp_dict, __pyx_n_s_pyx_getbuffer);
        if (getbuffer_cobj) {
            getbufferproc func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj);
            Py_DECREF(getbuffer_cobj);
            if (!func)
                goto fail;
            return func(obj, view, flags);
        } else {
            PyErr_Clear();
        }
    }
  #endif
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict) {
        PyObject *releasebuffer_cobj = PyObject_GetItem(
            obj->ob_type->tp_dict, __pyx_n_s_pyx_releasebuffer);
        if (releasebuffer_cobj) {
            releasebufferproc func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj);
            Py_DECREF(releasebuffer_cobj);
            if (!func)
                goto fail;
            func(obj, view);
            return;
        } else {
            PyErr_Clear();
        }
    }
  #endif
    goto nofail;
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    PyErr_WriteUnraisable(obj);
nofail:
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif /*  PY_MAJOR_VERSION < 3 */


          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_VERSION_HEX < 0x03030000
    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_VERSION_HEX >= 0x02050000
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0; /* try absolute import on failure */
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
    #else
    if (level>0) {
        PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
        goto bad;
    }
    module = PyObject_CallFunctionObjArgs(py_import,
        name, global_dict, empty_dict, list, NULL);
    #endif
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

#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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__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(__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(__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(__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;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__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(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__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(__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(__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:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(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

#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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__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_sumf(__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_difff(__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_prodf(__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;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__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_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__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_absf(__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_powf(__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:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(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

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = 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);
        } else if (sizeof(int) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func)             \
    {                                                                     \
        func_type value = func(x);                                        \
        if (sizeof(target_type) < sizeof(func_type)) {                    \
            if (unlikely(value != (func_type) (target_type) value)) {     \
                func_type zero = 0;                                       \
                PyErr_SetString(PyExc_OverflowError,                      \
                    (is_unsigned && unlikely(value < zero)) ?             \
                    "can't convert negative value to " #target_type :     \
                    "value too large to convert to " #target_type);       \
                return (target_type) -1;                                  \
            }                                                             \
        }                                                                 \
        return (target_type) value;                                       \
    }

#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = 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)
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to int");
                return (int) -1;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(int)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return (int) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to int");
                return (int) -1;
            }
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong)
            } else if (sizeof(int) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong)
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(int)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return +(int) ((PyLongObject*)x)->ob_digit[0];
                    case -1: return -(int) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong)
            } else if (sizeof(int) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong)
            }
        }
        {
#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_Int(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_Int(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = 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);
        } else if (sizeof(long) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = 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)
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long) -1;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(long)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return (long) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long) -1;
            }
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong)
            } else if (sizeof(long) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong)
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            if (sizeof(digit) <= sizeof(long)) {
                switch (Py_SIZE(x)) {
                    case  0: return 0;
                    case  1: return +(long) ((PyLongObject*)x)->ob_digit[0];
                    case -1: return -(long) ((PyLongObject*)x)->ob_digit[0];
                }
            }
 #endif
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong)
            } else if (sizeof(long) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong)
            }
        }
        {
#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_Int(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_Int(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

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);
        #if PY_VERSION_HEX < 0x02050000
        return PyErr_Warn(NULL, message);
        #else
        return PyErr_WarnEx(NULL, message, 1);
        #endif
    }
    return 0;
}

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    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 (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        #if PY_VERSION_HEX < 0x02050000
        if (PyErr_Warn(NULL, warning) < 0) goto bad;
        #else
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
        #endif
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

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) / 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, 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);
}

#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,            /*int argcount,*/
        0,            /*int kwonlyargcount,*/
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        __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,      /*int firstlineno,*/
        __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;
    PyObject *py_globals = 0;
    PyFrameObject *py_frame = 0;
    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_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

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  /* Python 3+ has unicode identifiers */
        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;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE 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)) {
#if PY_VERSION_HEX < 0x03030000
        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 /*__PYX_DEFAULT_STRING_ENCODING_IS_ASCII*/
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else /* PY_VERSION_HEX < 0x03030000 */
        if (PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
        return PyUnicode_AsUTF8AndSize(o, length);
#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
#endif /* PY_VERSION_HEX < 0x03030000 */
    } else
#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII  || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT */
#if !CYTHON_COMPILING_IN_PYPY
#if PY_VERSION_HEX >= 0x02060000
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
#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 PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif
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)))
      return PyInt_AS_LONG(b);
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
     #if CYTHON_USE_PYLONG_INTERNALS
       switch (Py_SIZE(b)) {
       case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0];
       case  0: return 0;
       case  1: return ((PyLongObject*)b)->ob_digit[0];
       }
     #endif
    #endif
  #if PY_VERSION_HEX < 0x02060000
    return PyInt_AsSsize_t(b);
  #else
    return PyLong_AsSsize_t(b);
  #endif
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}


#endif /* Py_PYTHON_H */