comparison Alignment/FastAlignmentArrays.c @ 0:1eb6054a1f84

First Commit

+/* Generated by Cython 0.20.2 on Fri Dec 12 12:34:51 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_2"
+#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 && PY_VERSION_HEX < 0x02070600
+#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__MultipleOMR__Alignment__FastAlignmentArrays
+#define __PYX_HAVE_API__MultipleOMR__Alignment__FastAlignmentArrays
+#include "string.h"
+#include "stdio.h"
+#include "stdlib.h"
+#include "numpy/arrayobject.h"
+#include "numpy/ufuncobject.h"
+#include "pythread.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 (size_t)(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;
+    PyObject* default_encoding = NULL;
+    PyObject* ascii_chars_u = NULL;
+    PyObject* ascii_chars_b = NULL;
+    const char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    if (strcmp(default_encoding_c, "ascii") == 0) {
+        __Pyx_sys_getdefaultencoding_not_ascii = 0;
+    } else {
+        char ascii_chars[128];
+        int c;
+        for (c = 0; c < 128; c++) {
+            ascii_chars[c] = c;
+        }
+        __Pyx_sys_getdefaultencoding_not_ascii = 1;
+        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
+        if (!ascii_chars_u) goto bad;
+        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
+        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
+            PyErr_Format(
+                PyExc_ValueError,
+                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
+                default_encoding_c);
+            goto bad;
+        }
+        Py_DECREF(ascii_chars_u);
+        Py_DECREF(ascii_chars_b);
+    }
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    Py_XDECREF(ascii_chars_u);
+    Py_XDECREF(ascii_chars_b);
+    return -1;
+}
+#endif
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
+#else
+#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
+#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
+static char* __PYX_DEFAULT_STRING_ENCODING;
+static int __Pyx_init_sys_getdefaultencoding_params(void) {
+    PyObject* sys;
+    PyObject* default_encoding = NULL;
+    char* default_encoding_c;
+    sys = PyImport_ImportModule("sys");
+    if (!sys) goto bad;
+    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
+    Py_DECREF(sys);
+    if (!default_encoding) goto bad;
+    default_encoding_c = PyBytes_AsString(default_encoding);
+    if (!default_encoding_c) goto bad;
+    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
+    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
+    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
+    Py_DECREF(default_encoding);
+    return 0;
+bad:
+    Py_XDECREF(default_encoding);
+    return -1;
+}
+#endif
+#endif
+
+
+/* Test for GCC > 2.95 */
+#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
+  #define likely(x)   __builtin_expect(!!(x), 1)
+  #define unlikely(x) __builtin_expect(!!(x), 0)
+#else /* !__GNUC__ or GCC < 2.95 */
+  #define likely(x)   (x)
+  #define unlikely(x) (x)
+#endif /* __GNUC__ */
+
+static 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[] = {
+  "FastAlignmentArrays.pyx",
+  "__init__.pxd",
+  "type.pxd",
+  "bool.pxd",
+  "complex.pxd",
+};
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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< 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
+
+#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
+
+
+/*--- Type declarations ---*/
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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;
+
+/* "C:\Python27\lib\site-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
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+              PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure(); \
+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
+              PyGILState_Release(__pyx_gilstate_save); \
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+              __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__); \
+          }
+#else
+  #define __Pyx_RefNannySetupContext(name, acquire_gil) \
+          __pyx_refnanny = __Pyx_RefNanny->SetupContext((name), __LINE__, __FILE__)
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+  #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)
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+  #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)
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+#define __Pyx_XDECREF_SET(r, v) do {                            \
+        PyObject *tmp = (PyObject *) r;                         \
+        r = v; __Pyx_XDECREF(tmp);                              \
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+#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 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 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*/
+
+#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 CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
+    const char *name, int exact); /*proto*/
+
+#if CYTHON_COMPILING_IN_CPYTHON
+static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
+    PyListObject* L = (PyListObject*) list;
+    Py_ssize_t len = Py_SIZE(list);
+    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
+        Py_INCREF(x);
+        PyList_SET_ITEM(list, len, x);
+        Py_SIZE(list) = len+1;
+        return 0;
+    }
+    return PyList_Append(list, x);
+}
+#else
+#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
+#endif
+
+#include <string.h>
+
+static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals); /*proto*/
+
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals); /*proto*/
+
+#if PY_MAJOR_VERSION >= 3
+#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
+#else
+#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
+#endif
+
+static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
+
+static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
+
+static CYTHON_INLINE int __Pyx_IterFinish(void); /*proto*/
+
+static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected); /*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_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause); /*proto*/
+
+static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
+
+static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
+
+#define __Pyx_CyFunction_USED 1
+#include <structmember.h>
+#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
+#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
+#define __Pyx_CYFUNCTION_CCLASS        0x04
+#define __Pyx_CyFunction_GetClosure(f) \
+    (((__pyx_CyFunctionObject *) (f))->func_closure)
+#define __Pyx_CyFunction_GetClassObj(f) \
+    (((__pyx_CyFunctionObject *) (f))->func_classobj)
+#define __Pyx_CyFunction_Defaults(type, f) \
+    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
+#define __Pyx_CyFunction_SetDefaultsGetter(f, g) \
+    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
+typedef struct {
+    PyCFunctionObject func;
+    PyObject *func_dict;
+    PyObject *func_weakreflist;
+    PyObject *func_name;
+    PyObject *func_qualname;
+    PyObject *func_doc;
+    PyObject *func_globals;
+    PyObject *func_code;
+    PyObject *func_closure;
+    PyObject *func_classobj; /* No-args super() class cell */
+    void *defaults;
+    int defaults_pyobjects;
+    int flags;
+    PyObject *defaults_tuple;   /* Const defaults tuple */
+    PyObject *defaults_kwdict;  /* Const kwonly defaults dict */
+    PyObject *(*defaults_getter)(PyObject *);
+    PyObject *func_annotations; /* function annotations dict */
+} __pyx_CyFunctionObject;
+static PyTypeObject *__pyx_CyFunctionType = 0;
+#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code) \
+    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
+static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
+                                      int flags, PyObject* qualname,
+                                      PyObject *self,
+                                      PyObject *module, PyObject *globals,
+                                      PyObject* code);
+static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
+                                                         size_t size,
+                                                         int pyobjects);
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
+                                                            PyObject *tuple);
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
+                                                             PyObject *dict);
+static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
+                                                              PyObject *dict);
+static int __Pyx_CyFunction_init(void);
+
+static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);
+
+static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
+                                           PyObject *mkw, PyObject *modname, PyObject *doc); /*proto*/
+static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
+                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass); /*proto*/
+
+static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level); /*proto*/
+
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
+
+static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
+
+static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int 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_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 __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 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 'cpython.version' */
+
+/* Module declarations from 'cpython.exc' */
+
+/* Module declarations from 'cpython.module' */
+
+/* Module declarations from 'cpython.mem' */
+
+/* Module declarations from 'cpython.tuple' */
+
+/* Module declarations from 'cpython.list' */
+
+/* Module declarations from 'cpython.sequence' */
+
+/* Module declarations from 'cpython.mapping' */
+
+/* Module declarations from 'cpython.iterator' */
+
+/* Module declarations from 'cpython.number' */
+
+/* Module declarations from 'cpython.int' */
+
+/* Module declarations from '__builtin__' */
+
+/* Module declarations from 'cpython.bool' */
+static PyTypeObject *__pyx_ptype_7cpython_4bool_bool = 0;
+
+/* Module declarations from 'cpython.long' */
+
+/* Module declarations from 'cpython.float' */
+
+/* Module declarations from '__builtin__' */
+
+/* Module declarations from 'cpython.complex' */
+static PyTypeObject *__pyx_ptype_7cpython_7complex_complex = 0;
+
+/* Module declarations from 'cpython.string' */
+
+/* Module declarations from 'cpython.unicode' */
+
+/* Module declarations from 'cpython.dict' */
+
+/* Module declarations from 'cpython.instance' */
+
+/* Module declarations from 'cpython.function' */
+
+/* Module declarations from 'cpython.method' */
+
+/* Module declarations from 'cpython.weakref' */
+
+/* Module declarations from 'cpython.getargs' */
+
+/* Module declarations from 'cpython.pythread' */
+
+/* Module declarations from 'cpython.pystate' */
+
+/* Module declarations from 'cpython.cobject' */
+
+/* Module declarations from 'cpython.oldbuffer' */
+
+/* Module declarations from 'cpython.set' */
+
+/* Module declarations from 'cpython.bytes' */
+
+/* Module declarations from 'cpython.pycapsule' */
+
+/* Module declarations from 'cpython' */
+
+/* Module declarations from 'MultipleOMR.Alignment.FastAlignmentArrays' */
+static int __pyx_v_11MultipleOMR_9Alignment_19FastAlignmentArrays_DIAG;
+static int __pyx_v_11MultipleOMR_9Alignment_19FastAlignmentArrays_UP;
+static int __pyx_v_11MultipleOMR_9Alignment_19FastAlignmentArrays_LEFT;
+static float __pyx_v_11MultipleOMR_9Alignment_19FastAlignmentArrays_score;
+#define __Pyx_MODULE_NAME "MultipleOMR.Alignment.FastAlignmentArrays"
+int __pyx_module_is_main_MultipleOMR__Alignment__FastAlignmentArrays = 0;
+
+/* Implementation of 'MultipleOMR.Alignment.FastAlignmentArrays' */
+static PyObject *__pyx_builtin_range;
+static PyObject *__pyx_builtin_ValueError;
+static PyObject *__pyx_builtin_RuntimeError;
+static PyObject *__pyx_pf_11MultipleOMR_9Alignment_19FastAlignmentArrays_19FastAlignmentArrays___needleman_wunsch_matrix(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2, PyObject *__pyx_v_isFast); /* proto */
+static PyObject *__pyx_pf_11MultipleOMR_9Alignment_19FastAlignmentArrays_19FastAlignmentArrays_2__needleman_wunsch_trace(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2, CYTHON_UNUSED PyArrayObject *__pyx_v_s, PyArrayObject *__pyx_v_ptr); /* proto */
+static PyObject *__pyx_pf_11MultipleOMR_9Alignment_19FastAlignmentArrays_19FastAlignmentArrays_4needleman_wunsch(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_seq1, PyObject *__pyx_v_seq2, PyObject *__pyx_v_isFast); /* 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_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_j[] = "j";
+static char __pyx_k_l[] = "l";
+static char __pyx_k_m[] = "m";
+static char __pyx_k_n[] = "n";
+static char __pyx_k_p[] = "p";
+static char __pyx_k_q[] = "q";
+static char __pyx_k_s[] = "s";
+static char __pyx_k_Zd[] = "Zd";
+static char __pyx_k_Zf[] = "Zf";
+static char __pyx_k_Zg[] = "Zg";
+static char __pyx_k__5[] = "*";
+static char __pyx_k_np[] = "np";
+static char __pyx_k_GAP[] = "[GAP]";
+static char __pyx_k_doc[] = "__doc__";
+static char __pyx_k_ptr[] = "ptr";
+static char __pyx_k_curr[] = "curr";
+static char __pyx_k_gap1[] = "gap1";
+static char __pyx_k_gap2[] = "gap2";
+static char __pyx_k_main[] = "__main__";
+static char __pyx_k_self[] = "self";
+static char __pyx_k_seq1[] = "seq1";
+static char __pyx_k_seq2[] = "seq2";
+static char __pyx_k_test[] = "__test__";
+static char __pyx_k_dtype[] = "dtype";
+static char __pyx_k_indel[] = "indel";
+static char __pyx_k_index[] = "index";
+static char __pyx_k_numpy[] = "numpy";
+static char __pyx_k_range[] = "range";
+static char __pyx_k_score[] = "score";
+static char __pyx_k_zeros[] = "zeros";
+static char __pyx_k_align1[] = "align1";
+static char __pyx_k_align2[] = "align2";
+static char __pyx_k_import[] = "__import__";
+static char __pyx_k_isFast[] = "isFast";
+static char __pyx_k_maxlen[] = "maxlen";
+static char __pyx_k_module[] = "__module__";
+static char __pyx_k_myseq1[] = "myseq1";
+static char __pyx_k_myseq2[] = "myseq2";
+static char __pyx_k_NWunsch[] = "NWunsch";
+static char __pyx_k_prepare[] = "__prepare__";
+static char __pyx_k_qualname[] = "__qualname__";
+static char __pyx_k_alignment[] = "alignment";
+static char __pyx_k_metaclass[] = "__metaclass__";
+static char __pyx_k_ValueError[] = "ValueError";
+static char __pyx_k_align1_gap[] = "align1_gap";
+static char __pyx_k_align2_gap[] = "align2_gap";
+static char __pyx_k_finalscore[] = "finalscore";
+static char __pyx_k_RuntimeError[] = "RuntimeError";
+static char __pyx_k_diagonalRange[] = "diagonalRange";
+static char __pyx_k_needleman_wunsch[] = "needleman_wunsch";
+static char __pyx_k_FastAlignmentArrays[] = "FastAlignmentArrays";
+static char __pyx_k_NWunsch_getSimilarity[] = "NWunsch_getSimilarity";
+static char __pyx_k_needleman_wunsch_trace[] = "__needleman_wunsch_trace";
+static char __pyx_k_needleman_wunsch_matrix[] = "__needleman_wunsch_matrix";
+static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
+static char __pyx_k_FastAlignmentArrays__needleman[] = "_FastAlignmentArrays__needleman_wunsch_matrix";
+static char __pyx_k_C_LICA_OMR_PythonV4_MultipleOMR[] = "C:\\LICA\\OMR_PythonV4\\MultipleOMR\\Alignment\\FastAlignmentArrays.pyx";
+static char __pyx_k_FastAlignmentArrays___needleman[] = "FastAlignmentArrays.__needleman_wunsch_matrix";
+static char __pyx_k_organization_Lancaster_Universi[] = "\n@organization: Lancaster University & University of Leeds\n@version: 1.0\nCreated on 11/12/2014\n\n@author: Victor Padilla\n@contact: [e-mail]\n\nContains an implementation of the Needleman Wunsch algorithm.\nfor two dimension arrays. It is a Cython file and should be \ncompiled using the file setupCython.py\n\npython setupCython.py build\n\nThe output will be in the build folder\nMultipleOMR\\build\\lib.win32-2.7\\MultipleOMR\n\n# if isFast==False, calculate the difference between the strings using the Needlemann Wunsch in C. \n#           The score value will be between +1 to -1\n# if isFast==True, just compare the strings if they are equals (score=1) or different (score=-1)\n\n# 'isFast=true' means that the differences between foo00 and foo000 is -1\n# alignment are the sequences aligned\n# finalValue is the last value of the matrix\n# finalScore is the similarity of both sequences\n\nusage:\n\nseq1=[\"foo00\",\"abc\",\"123\"]\nseq2=[\"foo000\",\"abc\",\"1234\"]\n\nfaa=FastAlignmentArray()\nalignment,finalValue,finalScore=faa.needleman_wunsch(seq1, seq2,isFast=True)\n# finalScore=-0.333333343267\nalignment,finalValue,finalScore=faa.needleman_wunsch(seq1, seq2,isFast=False)\n# finalScore=0.722222208977\n\n";
+static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
+static char __pyx_k_FastAlignmentArrays__needleman_2[] = "_FastAlignmentArrays__needleman_wunsch_trace";
+static char __pyx_k_FastAlignmentArrays_needleman_wu[] = "FastAlignmentArrays.needleman_wunsch";
+static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
+static char __pyx_k_MultipleOMR_Alignment_FastAlignm[] = "MultipleOMR.Alignment.FastAlignmentArrays";
+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_FastAlignmentArrays___needleman_2[] = "FastAlignmentArrays.__needleman_wunsch_trace";
+static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":219
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+  }
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+ *             info.ndim = ndim             # <<<<<<<<<<<<<<
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":226
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+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":229
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+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":230
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":232
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":233
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+  /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":234
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+ */
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+  /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":236
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+ * 
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+ */
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+  /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":240
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+  /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":244
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+  /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":246
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":248
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":251
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":254
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+    /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":255
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+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":256
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+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":259
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+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":264
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+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":265
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+ *                 elif t == NPY_ULONGLONG:   f = "Q"
+ *                 elif t == NPY_FLOAT:       f = "f"
+ *                 elif t == NPY_DOUBLE:      f = "d"             # <<<<<<<<<<<<<<
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+ *                 elif t == NPY_DOUBLE:      f = "d"
+ *                 elif t == NPY_LONGDOUBLE:  f = "g"             # <<<<<<<<<<<<<<
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+ *                 elif t == NPY_CDOUBLE:     f = "Zd"
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+
+      /* "C:\Python27\lib\site-packages\Cython\Includes\numpy\__init__.pxd":271
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+ *                 elif t == NPY_CFLOAT:      f = "Zf"             # <<<<<<<<<<<<<<
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+ *                 elif t == NPY_CLONGDOUBLE: f = "Zg"
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+}
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+static void __Pyx_RaiseArgtupleInvalid(
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+}
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+                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
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+}
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+#if PY_VERSION_HEX >= 0x02060000
+    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
+        return NULL;
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+    result = (*call)(func, arg, kw);
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+#endif
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+            PyExc_SystemError,
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+}
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+static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
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+        PyErr_SetString(PyExc_SystemError, "Missing type object");
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+    }
+    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 PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
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+}
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+        Py_INCREF(r);
+        return r;
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+    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
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+}
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+        Py_INCREF(r);
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+}
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+            Py_INCREF(r);
+            return r;
+        }
+    }
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+            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_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_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+    if (s1 == s2) {
+        return (equals == Py_EQ);
+    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
+        const char *ps1, *ps2;
+        Py_ssize_t length = PyBytes_GET_SIZE(s1);
+        if (length != PyBytes_GET_SIZE(s2))
+            return (equals == Py_NE);
+        ps1 = PyBytes_AS_STRING(s1);
+        ps2 = PyBytes_AS_STRING(s2);
+        if (ps1[0] != ps2[0]) {
+            return (equals == Py_NE);
+        } else if (length == 1) {
+            return (equals == Py_EQ);
+        } else {
+            int result = memcmp(ps1, ps2, (size_t)length);
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
+        return (equals == Py_NE);
+    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
+        return (equals == Py_NE);
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+#endif
+}
+
+static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
+#if CYTHON_COMPILING_IN_PYPY
+    return PyObject_RichCompareBool(s1, s2, equals);
+#else
+#if PY_MAJOR_VERSION < 3
+    PyObject* owned_ref = NULL;
+#endif
+    int s1_is_unicode, s2_is_unicode;
+    if (s1 == s2) {
+        goto return_eq;
+    }
+    s1_is_unicode = PyUnicode_CheckExact(s1);
+    s2_is_unicode = PyUnicode_CheckExact(s2);
+#if PY_MAJOR_VERSION < 3
+    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
+        owned_ref = PyUnicode_FromObject(s2);
+        if (unlikely(!owned_ref))
+            return -1;
+        s2 = owned_ref;
+        s2_is_unicode = 1;
+    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
+        owned_ref = PyUnicode_FromObject(s1);
+        if (unlikely(!owned_ref))
+            return -1;
+        s1 = owned_ref;
+        s1_is_unicode = 1;
+    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
+        return __Pyx_PyBytes_Equals(s1, s2, equals);
+    }
+#endif
+    if (s1_is_unicode & s2_is_unicode) {
+        Py_ssize_t length;
+        int kind;
+        void *data1, *data2;
+        #if CYTHON_PEP393_ENABLED
+        if (unlikely(PyUnicode_READY(s1) < 0) || unlikely(PyUnicode_READY(s2) < 0))
+            return -1;
+        #endif
+        length = __Pyx_PyUnicode_GET_LENGTH(s1);
+        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
+            goto return_ne;
+        }
+        kind = __Pyx_PyUnicode_KIND(s1);
+        if (kind != __Pyx_PyUnicode_KIND(s2)) {
+            goto return_ne;
+        }
+        data1 = __Pyx_PyUnicode_DATA(s1);
+        data2 = __Pyx_PyUnicode_DATA(s2);
+        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
+            goto return_ne;
+        } else if (length == 1) {
+            goto return_eq;
+        } else {
+            int result = memcmp(data1, data2, (size_t)(length * kind));
+            #if PY_MAJOR_VERSION < 3
+            Py_XDECREF(owned_ref);
+            #endif
+            return (equals == Py_EQ) ? (result == 0) : (result != 0);
+        }
+    } else if ((s1 == Py_None) & s2_is_unicode) {
+        goto return_ne;
+    } else if ((s2 == Py_None) & s1_is_unicode) {
+        goto return_ne;
+    } else {
+        int result;
+        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
+        if (!py_result)
+            return -1;
+        result = __Pyx_PyObject_IsTrue(py_result);
+        Py_DECREF(py_result);
+        return result;
+    }
+return_eq:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_EQ);
+return_ne:
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(owned_ref);
+    #endif
+    return (equals == Py_NE);
+#endif
+}
+
+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 int __Pyx_IterFinish(void) {
+#if CYTHON_COMPILING_IN_CPYTHON
+    PyThreadState *tstate = PyThreadState_GET();
+    PyObject* exc_type = tstate->curexc_type;
+    if (unlikely(exc_type)) {
+        if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
+            PyObject *exc_value, *exc_tb;
+            exc_value = tstate->curexc_value;
+            exc_tb = tstate->curexc_traceback;
+            tstate->curexc_type = 0;
+            tstate->curexc_value = 0;
+            tstate->curexc_traceback = 0;
+            Py_DECREF(exc_type);
+            Py_XDECREF(exc_value);
+            Py_XDECREF(exc_tb);
+            return 0;
+        } else {
+            return -1;
+        }
+    }
+    return 0;
+#else
+    if (unlikely(PyErr_Occurred())) {
+        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
+            PyErr_Clear();
+            return 0;
+        } else {
+            return -1;
+        }
+    }
+    return 0;
+#endif
+}
+
+static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
+    if (unlikely(retval)) {
+        Py_DECREF(retval);
+        __Pyx_RaiseTooManyValuesError(expected);
+        return -1;
+    } else {
+        return __Pyx_IterFinish();
+    }
+    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
+}
+
+#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_RaiseNoneNotIterableError(void) {
+    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
+}
+
+static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
+    PyObject* fake_module;
+    PyTypeObject* cached_type = NULL;
+    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
+    if (!fake_module) return NULL;
+    Py_INCREF(fake_module);
+    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
+    if (cached_type) {
+        if (!PyType_Check((PyObject*)cached_type)) {
+            PyErr_Format(PyExc_TypeError,
+                "Shared Cython type %.200s is not a type object",
+                type->tp_name);
+            goto bad;
+        }
+        if (cached_type->tp_basicsize != type->tp_basicsize) {
+            PyErr_Format(PyExc_TypeError,
+                "Shared Cython type %.200s has the wrong size, try recompiling",
+                type->tp_name);
+            goto bad;
+        }
+    } else {
+        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
+        PyErr_Clear();
+        if (PyType_Ready(type) < 0) goto bad;
+        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
+            goto bad;
+        Py_INCREF(type);
+        cached_type = type;
+    }
+done:
+    Py_DECREF(fake_module);
+    return cached_type;
+bad:
+    Py_XDECREF(cached_type);
+    cached_type = NULL;
+    goto done;
+}
+
+static PyObject *
+__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
+{
+    if (unlikely(op->func_doc == NULL)) {
+        if (op->func.m_ml->ml_doc) {
+#if PY_MAJOR_VERSION >= 3
+            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
+#else
+            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
+#endif
+            if (unlikely(op->func_doc == NULL))
+                return NULL;
+        } else {
+            Py_INCREF(Py_None);
+            return Py_None;
+        }
+    }
+    Py_INCREF(op->func_doc);
+    return op->func_doc;
+}
+static int
+__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value)
+{
+    PyObject *tmp = op->func_doc;
+    if (value == NULL)
+        value = Py_None; /* Mark as deleted */
+    Py_INCREF(value);
+    op->func_doc = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
+{
+    if (unlikely(op->func_name == NULL)) {
+#if PY_MAJOR_VERSION >= 3
+        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
+#else
+        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
+#endif
+        if (unlikely(op->func_name == NULL))
+            return NULL;
+    }
+    Py_INCREF(op->func_name);
+    return op->func_name;
+}
+static int
+__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value)
+{
+    PyObject *tmp;
+#if PY_MAJOR_VERSION >= 3
+    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
+#else
+    if (unlikely(value == NULL || !PyString_Check(value))) {
+#endif
+        PyErr_SetString(PyExc_TypeError,
+                        "__name__ must be set to a string object");
+        return -1;
+    }
+    tmp = op->func_name;
+    Py_INCREF(value);
+    op->func_name = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op)
+{
+    Py_INCREF(op->func_qualname);
+    return op->func_qualname;
+}
+static int
+__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value)
+{
+    PyObject *tmp;
+#if PY_MAJOR_VERSION >= 3
+    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
+#else
+    if (unlikely(value == NULL || !PyString_Check(value))) {
+#endif
+        PyErr_SetString(PyExc_TypeError,
+                        "__qualname__ must be set to a string object");
+        return -1;
+    }
+    tmp = op->func_qualname;
+    Py_INCREF(value);
+    op->func_qualname = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
+{
+    PyObject *self;
+    self = m->func_closure;
+    if (self == NULL)
+        self = Py_None;
+    Py_INCREF(self);
+    return self;
+}
+static PyObject *
+__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op)
+{
+    if (unlikely(op->func_dict == NULL)) {
+        op->func_dict = PyDict_New();
+        if (unlikely(op->func_dict == NULL))
+            return NULL;
+    }
+    Py_INCREF(op->func_dict);
+    return op->func_dict;
+}
+static int
+__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value)
+{
+    PyObject *tmp;
+    if (unlikely(value == NULL)) {
+        PyErr_SetString(PyExc_TypeError,
+               "function's dictionary may not be deleted");
+        return -1;
+    }
+    if (unlikely(!PyDict_Check(value))) {
+        PyErr_SetString(PyExc_TypeError,
+               "setting function's dictionary to a non-dict");
+        return -1;
+    }
+    tmp = op->func_dict;
+    Py_INCREF(value);
+    op->func_dict = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op)
+{
+    Py_INCREF(op->func_globals);
+    return op->func_globals;
+}
+static PyObject *
+__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op)
+{
+    Py_INCREF(Py_None);
+    return Py_None;
+}
+static PyObject *
+__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op)
+{
+    PyObject* result = (op->func_code) ? op->func_code : Py_None;
+    Py_INCREF(result);
+    return result;
+}
+static int
+__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
+    PyObject *res = op->defaults_getter((PyObject *) op);
+    if (unlikely(!res))
+        return -1;
+    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
+    Py_INCREF(op->defaults_tuple);
+    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
+    Py_INCREF(op->defaults_kwdict);
+    Py_DECREF(res);
+    return 0;
+}
+static int
+__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value) {
+    PyObject* tmp;
+    if (!value) {
+        value = Py_None;
+    } else if (value != Py_None && !PyTuple_Check(value)) {
+        PyErr_SetString(PyExc_TypeError,
+                        "__defaults__ must be set to a tuple object");
+        return -1;
+    }
+    Py_INCREF(value);
+    tmp = op->defaults_tuple;
+    op->defaults_tuple = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op) {
+    PyObject* result = op->defaults_tuple;
+    if (unlikely(!result)) {
+        if (op->defaults_getter) {
+            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
+            result = op->defaults_tuple;
+        } else {
+            result = Py_None;
+        }
+    }
+    Py_INCREF(result);
+    return result;
+}
+static int
+__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value) {
+    PyObject* tmp;
+    if (!value) {
+        value = Py_None;
+    } else if (value != Py_None && !PyDict_Check(value)) {
+        PyErr_SetString(PyExc_TypeError,
+                        "__kwdefaults__ must be set to a dict object");
+        return -1;
+    }
+    Py_INCREF(value);
+    tmp = op->defaults_kwdict;
+    op->defaults_kwdict = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op) {
+    PyObject* result = op->defaults_kwdict;
+    if (unlikely(!result)) {
+        if (op->defaults_getter) {
+            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
+            result = op->defaults_kwdict;
+        } else {
+            result = Py_None;
+        }
+    }
+    Py_INCREF(result);
+    return result;
+}
+static int
+__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value) {
+    PyObject* tmp;
+    if (!value || value == Py_None) {
+        value = NULL;
+    } else if (!PyDict_Check(value)) {
+        PyErr_SetString(PyExc_TypeError,
+                        "__annotations__ must be set to a dict object");
+        return -1;
+    }
+    Py_XINCREF(value);
+    tmp = op->func_annotations;
+    op->func_annotations = value;
+    Py_XDECREF(tmp);
+    return 0;
+}
+static PyObject *
+__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op) {
+    PyObject* result = op->func_annotations;
+    if (unlikely(!result)) {
+        result = PyDict_New();
+        if (unlikely(!result)) return NULL;
+        op->func_annotations = result;
+    }
+    Py_INCREF(result);
+    return result;
+}
+static PyGetSetDef __pyx_CyFunction_getsets[] = {
+    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
+    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
+    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
+    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
+    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
+    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
+    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
+    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
+    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
+    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
+    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
+    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
+    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
+    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
+    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
+    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
+    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
+    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
+    {0, 0, 0, 0, 0}
+};
+#ifndef PY_WRITE_RESTRICTED /* < Py2.5 */
+#define PY_WRITE_RESTRICTED WRITE_RESTRICTED
+#endif
+static PyMemberDef __pyx_CyFunction_members[] = {
+    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.m_module), PY_WRITE_RESTRICTED, 0},
+    {0, 0, 0,  0, 0}
+};
+static PyObject *
+__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
+{
+#if PY_MAJOR_VERSION >= 3
+    return PyUnicode_FromString(m->func.m_ml->ml_name);
+#else
+    return PyString_FromString(m->func.m_ml->ml_name);
+#endif
+}
+static PyMethodDef __pyx_CyFunction_methods[] = {
+    {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
+    {0, 0, 0, 0}
+};
+static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
+                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
+    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
+    if (op == NULL)
+        return NULL;
+    op->flags = flags;
+    op->func_weakreflist = NULL;
+    op->func.m_ml = ml;
+    op->func.m_self = (PyObject *) op;
+    Py_XINCREF(closure);
+    op->func_closure = closure;
+    Py_XINCREF(module);
+    op->func.m_module = module;
+    op->func_dict = NULL;
+    op->func_name = NULL;
+    Py_INCREF(qualname);
+    op->func_qualname = qualname;
+    op->func_doc = NULL;
+    op->func_classobj = NULL;
+    op->func_globals = globals;
+    Py_INCREF(op->func_globals);
+    Py_XINCREF(code);
+    op->func_code = code;
+    op->defaults_pyobjects = 0;
+    op->defaults = NULL;
+    op->defaults_tuple = NULL;
+    op->defaults_kwdict = NULL;
+    op->defaults_getter = NULL;
+    op->func_annotations = NULL;
+    PyObject_GC_Track(op);
+    return (PyObject *) op;
+}
+static int
+__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
+{
+    Py_CLEAR(m->func_closure);
+    Py_CLEAR(m->func.m_module);
+    Py_CLEAR(m->func_dict);
+    Py_CLEAR(m->func_name);
+    Py_CLEAR(m->func_qualname);
+    Py_CLEAR(m->func_doc);
+    Py_CLEAR(m->func_globals);
+    Py_CLEAR(m->func_code);
+    Py_CLEAR(m->func_classobj);
+    Py_CLEAR(m->defaults_tuple);
+    Py_CLEAR(m->defaults_kwdict);
+    Py_CLEAR(m->func_annotations);
+    if (m->defaults) {
+        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
+        int i;
+        for (i = 0; i < m->defaults_pyobjects; i++)
+            Py_XDECREF(pydefaults[i]);
+        PyMem_Free(m->defaults);
+        m->defaults = NULL;
+    }
+    return 0;
+}
+static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
+{
+    PyObject_GC_UnTrack(m);
+    if (m->func_weakreflist != NULL)
+        PyObject_ClearWeakRefs((PyObject *) m);
+    __Pyx_CyFunction_clear(m);
+    PyObject_GC_Del(m);
+}
+static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
+{
+    Py_VISIT(m->func_closure);
+    Py_VISIT(m->func.m_module);
+    Py_VISIT(m->func_dict);
+    Py_VISIT(m->func_name);
+    Py_VISIT(m->func_qualname);
+    Py_VISIT(m->func_doc);
+    Py_VISIT(m->func_globals);
+    Py_VISIT(m->func_code);
+    Py_VISIT(m->func_classobj);
+    Py_VISIT(m->defaults_tuple);
+    Py_VISIT(m->defaults_kwdict);
+    if (m->defaults) {
+        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
+        int i;
+        for (i = 0; i < m->defaults_pyobjects; i++)
+            Py_VISIT(pydefaults[i]);
+    }
+    return 0;
+}
+static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
+{
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
+        Py_INCREF(func);
+        return func;
+    }
+    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
+        if (type == NULL)
+            type = (PyObject *)(Py_TYPE(obj));
+        return PyMethod_New(func,
+                            type, (PyObject *)(Py_TYPE(type)));
+    }
+    if (obj == Py_None)
+        obj = NULL;
+    return PyMethod_New(func, obj, type);
+}
+static PyObject*
+__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
+{
+#if PY_MAJOR_VERSION >= 3
+    return PyUnicode_FromFormat("<cyfunction %U at %p>",
+                                op->func_qualname, (void *)op);
+#else
+    return PyString_FromFormat("<cyfunction %s at %p>",
+                               PyString_AsString(op->func_qualname), (void *)op);
+#endif
+}
+#if CYTHON_COMPILING_IN_PYPY
+static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
+    PyCFunctionObject* f = (PyCFunctionObject*)func;
+    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
+    PyObject *self = PyCFunction_GET_SELF(func);
+    Py_ssize_t size;
+    switch (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST)) {
+    case METH_VARARGS:
+        if (likely(kw == NULL) || PyDict_Size(kw) == 0)
+            return (*meth)(self, arg);
+        break;
+    case METH_VARARGS | METH_KEYWORDS:
+        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
+    case METH_NOARGS:
+        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
+            size = PyTuple_GET_SIZE(arg);
+            if (size == 0)
+                return (*meth)(self, NULL);
+            PyErr_Format(PyExc_TypeError,
+                "%.200s() takes no arguments (%zd given)",
+                f->m_ml->ml_name, size);
+            return NULL;
+        }
+        break;
+    case METH_O:
+        if (likely(kw == NULL) || PyDict_Size(kw) == 0) {
+            size = PyTuple_GET_SIZE(arg);
+            if (size == 1)
+                return (*meth)(self, PyTuple_GET_ITEM(arg, 0));
+            PyErr_Format(PyExc_TypeError,
+                "%.200s() takes exactly one argument (%zd given)",
+                f->m_ml->ml_name, size);
+            return NULL;
+        }
+        break;
+    default:
+        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
+                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
+                        "longer supported!");
+        return NULL;
+    }
+    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
+                 f->m_ml->ml_name);
+    return NULL;
+}
+#else
+static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
+	return PyCFunction_Call(func, arg, kw);
+}
+#endif
+static PyTypeObject __pyx_CyFunctionType_type = {
+    PyVarObject_HEAD_INIT(0, 0)
+    __Pyx_NAMESTR("cython_function_or_method"), /*tp_name*/
+    sizeof(__pyx_CyFunctionObject),   /*tp_basicsize*/
+    0,                                  /*tp_itemsize*/
+    (destructor) __Pyx_CyFunction_dealloc, /*tp_dealloc*/
+    0,                                  /*tp_print*/
+    0,                                  /*tp_getattr*/
+    0,                                  /*tp_setattr*/
+#if PY_MAJOR_VERSION < 3
+    0,                                  /*tp_compare*/
+#else
+    0,                                  /*reserved*/
+#endif
+    (reprfunc) __Pyx_CyFunction_repr,   /*tp_repr*/
+    0,                                  /*tp_as_number*/
+    0,                                  /*tp_as_sequence*/
+    0,                                  /*tp_as_mapping*/
+    0,                                  /*tp_hash*/
+    __Pyx_CyFunction_Call,              /*tp_call*/
+    0,                                  /*tp_str*/
+    0,                                  /*tp_getattro*/
+    0,                                  /*tp_setattro*/
+    0,                                  /*tp_as_buffer*/
+    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags*/
+    0,                                  /*tp_doc*/
+    (traverseproc) __Pyx_CyFunction_traverse,   /*tp_traverse*/
+    (inquiry) __Pyx_CyFunction_clear,   /*tp_clear*/
+    0,                                  /*tp_richcompare*/
+    offsetof(__pyx_CyFunctionObject, func_weakreflist), /* tp_weaklistoffse */
+    0,                                  /*tp_iter*/
+    0,                                  /*tp_iternext*/
+    __pyx_CyFunction_methods,           /*tp_methods*/
+    __pyx_CyFunction_members,           /*tp_members*/
+    __pyx_CyFunction_getsets,           /*tp_getset*/
+    0,                                  /*tp_base*/
+    0,                                  /*tp_dict*/
+    __Pyx_CyFunction_descr_get,         /*tp_descr_get*/
+    0,                                  /*tp_descr_set*/
+    offsetof(__pyx_CyFunctionObject, func_dict),/*tp_dictoffset*/
+    0,                                  /*tp_init*/
+    0,                                  /*tp_alloc*/
+    0,                                  /*tp_new*/
+    0,                                  /*tp_free*/
+    0,                                  /*tp_is_gc*/
+    0,                                  /*tp_bases*/
+    0,                                  /*tp_mro*/
+    0,                                  /*tp_cache*/
+    0,                                  /*tp_subclasses*/
+    0,                                  /*tp_weaklist*/
+    0,                                  /*tp_del*/
+#if PY_VERSION_HEX >= 0x02060000
+    0,                                  /*tp_version_tag*/
+#endif
+#if PY_VERSION_HEX >= 0x030400a1
+    0,                                  /*tp_finalize*/
+#endif
+};
+static int __Pyx_CyFunction_init(void) {
+#if !CYTHON_COMPILING_IN_PYPY
+    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
+#endif
+    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
+    if (__pyx_CyFunctionType == NULL) {
+        return -1;
+    }
+    return 0;
+}
+static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->defaults = PyMem_Malloc(size);
+    if (!m->defaults)
+        return PyErr_NoMemory();
+    memset(m->defaults, 0, size);
+    m->defaults_pyobjects = pyobjects;
+    return m->defaults;
+}
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->defaults_tuple = tuple;
+    Py_INCREF(tuple);
+}
+static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->defaults_kwdict = dict;
+    Py_INCREF(dict);
+}
+static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
+    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
+    m->func_annotations = dict;
+    Py_INCREF(dict);
+}
+
+static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
+    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
+    for (i=0; i < nbases; i++) {
+        PyTypeObject *tmptype;
+        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
+        tmptype = Py_TYPE(tmp);
+#if PY_MAJOR_VERSION < 3
+        if (tmptype == &PyClass_Type)
+            continue;
+#endif
+        if (!metaclass) {
+            metaclass = tmptype;
+            continue;
+        }
+        if (PyType_IsSubtype(metaclass, tmptype))
+            continue;
+        if (PyType_IsSubtype(tmptype, metaclass)) {
+            metaclass = tmptype;
+            continue;
+        }
+        PyErr_SetString(PyExc_TypeError,
+                        "metaclass conflict: "
+                        "the metaclass of a derived class "
+                        "must be a (non-strict) subclass "
+                        "of the metaclasses of all its bases");
+        return NULL;
+    }
+    if (!metaclass) {
+#if PY_MAJOR_VERSION < 3
+        metaclass = &PyClass_Type;
+#else
+        metaclass = &PyType_Type;
+#endif
+    }
+    Py_INCREF((PyObject*) metaclass);
+    return (PyObject*) metaclass;
+}
+
+static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
+                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
+    PyObject *ns;
+    if (metaclass) {
+        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
+        if (prep) {
+            PyObject *pargs = PyTuple_Pack(2, name, bases);
+            if (unlikely(!pargs)) {
+                Py_DECREF(prep);
+                return NULL;
+            }
+            ns = PyObject_Call(prep, pargs, mkw);
+            Py_DECREF(prep);
+            Py_DECREF(pargs);
+        } else {
+            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
+                return NULL;
+            PyErr_Clear();
+            ns = PyDict_New();
+        }
+    } else {
+        ns = PyDict_New();
+    }
+    if (unlikely(!ns))
+        return NULL;
+    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
+    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
+    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
+    return ns;
+bad:
+    Py_DECREF(ns);
+    return NULL;
+}
+static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
+                                      PyObject *dict, PyObject *mkw,
+                                      int calculate_metaclass, int allow_py2_metaclass) {
+    PyObject *result, *margs;
+    PyObject *owned_metaclass = NULL;
+    if (allow_py2_metaclass) {
+        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
+        if (owned_metaclass) {
+            metaclass = owned_metaclass;
+        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
+            PyErr_Clear();
+        } else {
+            return NULL;
+        }
+    }
+    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
+        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
+        Py_XDECREF(owned_metaclass);
+        if (unlikely(!metaclass))
+            return NULL;
+        owned_metaclass = metaclass;
+    }
+    margs = PyTuple_Pack(3, name, bases, dict);
+    if (unlikely(!margs)) {
+        result = NULL;
+    } else {
+        result = PyObject_Call(metaclass, margs, mkw);
+        Py_DECREF(margs);
+    }
+    Py_XDECREF(owned_metaclass);
+    return result;
+}
+
+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_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);
+    }
+}
+
+#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);
+    }
+}
+
+#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
+
+#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, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
+        if (unlikely(!entries)) {
+            return;
+        }
+        __pyx_code_cache.entries = entries;
+        __pyx_code_cache.max_count = new_max;
+    }
+    for (i=__pyx_code_cache.count; i>pos; i--) {
+        entries[i] = entries[i-1];
+    }
+    entries[pos].code_line = code_line;
+    entries[pos].code_object = code_object;
+    __pyx_code_cache.count++;
+    Py_INCREF(code_object);
+}
+
+#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, (Py_ssize_t)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 */