text: /* Generated by Cython 0.20.1post0 (Debian 0.20.1+git90-g0e6e38e-1ubuntu2) on Mon Mar 30 13:00:22 2015 */
  
  #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_Divide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(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__nipy__labs__bindings__wrapper
  #define __PYX_HAVE_API__nipy__labs__bindings__wrapper
  #include "string.h"
  #include "stdio.h"
  #include "stdlib.h"
  #include "numpy/arrayobject.h"
  #include "numpy/ufuncobject.h"
  #include "fff_base.h"
  #include "fff_vector.h"
  #include "fff_matrix.h"
  #include "fff_array.h"
  #include "fffpy.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);
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  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":726
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   * ctypedef npy_int32      int32_t
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   * #ctypedef npy_int96      int96_t
   * #ctypedef npy_int128     int128_t
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  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":730
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   * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
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   * ctypedef npy_uint32     uint32_t
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  /* "/usr/lib/python2.7/dist-packages/Cython/Includes/numpy/__init__.pxd":731
   * 
   * ctypedef npy_uint8      uint8_t
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      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);
  }
  
  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
  }
  
  #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");
  }
  
  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 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;
  }
  
  #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_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);
      }
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value) {
      const unsigned int neg_one = (unsigned int) -1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(unsigned int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(unsigned int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(unsigned int) <= sizeof(unsigned long long)) {
              return PyLong_FromUnsignedLongLong((unsigned long long) value);
          }
      } else {
          if (sizeof(unsigned int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(unsigned 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(unsigned int),
                                       little, !is_unsigned);
      }
  }
  
  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_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
  
  #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
  
  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 */
  