text: /* Generated by Cython 0.22 */
  
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  #define CYTHON_USE_PYLONG_INTERNALS 1
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    #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
    #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
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    #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
    #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ? \
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    #define __Pyx_PyFrozenSet_Size(s)         PySet_Size(s)
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  #define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
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    #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
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    #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
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  #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
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  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
    #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
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    #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
    #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
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    #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
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    #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
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  #if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
    #ifndef PyUnicode_InternFromString
      #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
    #endif
  #endif
  #if PY_VERSION_HEX < 0x030200A4
    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
  #else
    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
  #endif
  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
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    #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
  #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
  #define __Pyx_void_to_None(void_result) (void_result, Py_INCREF(Py_None), Py_None)
  #ifdef __cplusplus
  template<typename T>
  void __Pyx_call_destructor(T* x) {
      x->~T();
  }
  template<typename T>
  class __Pyx_FakeReference {
    public:
      __Pyx_FakeReference() : ptr(NULL) { }
      __Pyx_FakeReference(T& ref) : ptr(&ref) { }
      T *operator->() { return ptr; }
      operator T&() { return *ptr; }
    private:
      T *ptr;
  };
  #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__pyqcprot
  #define __PYX_HAVE_API__pyqcprot
  #include "string.h"
  #include "stdio.h"
  #include "stdlib.h"
  #include "numpy/arrayobject.h"
  #include "numpy/ufuncobject.h"
  #include "math.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;
  
  #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_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
  #define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
  #define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
  #define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
  #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
  #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*) "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[] = {
    "pyqcprot.pyx",
    "__init__.pxd",
    "type.pxd",
  };
  #define IS_UNSIGNED(type) (((type) -1) > 0)
  struct __Pyx_StructField_;
  #define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
  typedef struct {
    const char* name;
    struct __Pyx_StructField_* fields;
    size_t size;
    size_t arraysize[8];
    int ndim;
    char typegroup;
    char is_unsigned;
    int flags;
  } __Pyx_TypeInfo;
  typedef struct __Pyx_StructField_ {
    __Pyx_TypeInfo* type;
    const char* name;
    size_t offset;
  } __Pyx_StructField;
  typedef struct {
    __Pyx_StructField* field;
    size_t parent_offset;
  } __Pyx_BufFmt_StackElem;
  typedef struct {
    __Pyx_StructField root;
    __Pyx_BufFmt_StackElem* head;
    size_t fmt_offset;
    size_t new_count, enc_count;
    size_t struct_alignment;
    int is_complex;
    char enc_type;
    char new_packmode;
    char enc_packmode;
    char is_valid_array;
  } __Pyx_BufFmt_Context;
  
  
  /* "../../../../../../../opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
   * # 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;
  
  /* "../../../../../../../opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
   * 
   * 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;
  
  /* "../../../../../../../opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int64      int64_t
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  /* "../../../../../../../opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
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   * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
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  /* "../../../../../../../opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
   * #ctypedef npy_uint128    uint128_t
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   * ctypedef npy_float64    float64_t
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  /* "../../../../../../../opt/local/Library/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":741
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  /* Module declarations from 'pyqcprot' */
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  static PyObject *__pyx_n_s_i;
  static PyObject *__pyx_n_s_import;
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  static PyObject *__pyx_n_s_numpy;
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  static PyObject *__pyx_n_s_q2;
  static PyObject *__pyx_n_s_q3;
  static PyObject *__pyx_n_s_q4;
  static PyObject *__pyx_n_s_qsqr;
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  static PyObject *__pyx_n_s_ref;
  static PyObject *__pyx_n_s_rms;
  static PyObject *__pyx_n_s_rmsd;
  static PyObject *__pyx_n_s_rot;
  static PyObject *__pyx_n_s_test;
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  static PyObject *__pyx_n_s_weights;
  static PyObject *__pyx_n_s_x1;
  static PyObject *__pyx_n_s_x2;
  static PyObject *__pyx_n_s_xrange;
  static PyObject *__pyx_n_s_xy;
  static PyObject *__pyx_n_s_y1;
  static PyObject *__pyx_n_s_y2;
  static PyObject *__pyx_n_s_yz;
  static PyObject *__pyx_n_s_z1;
  static PyObject *__pyx_n_s_z2;
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  static PyObject *__pyx_int_4;
  static PyObject *__pyx_int_9;
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  static PyObject *__pyx_tuple__2;
  static PyObject *__pyx_tuple__3;
  static PyObject *__pyx_tuple__4;
  static PyObject *__pyx_tuple__5;
  static PyObject *__pyx_tuple__6;
  static PyObject *__pyx_tuple__7;
  static PyObject *__pyx_tuple__8;
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  static PyObject *__pyx_tuple__11;
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  static PyObject *__pyx_codeobj__10;
  static PyObject *__pyx_codeobj__12;
  static PyObject *__pyx_codeobj__14;
  
  /* "pyqcprot.pyx":89
   * @cython.boundscheck(False)
   * @cython.wraparound(False)
   * def InnerProduct(np.ndarray[np.float64_t,ndim=1] A,             # <<<<<<<<<<<<<<
   *                  np.ndarray[np.float64_t,ndim=2] coords1,
   *                  np.ndarray[np.float64_t,ndim=2] coords2,
   */
  
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        /* "pyqcprot.pyx":136
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   *             x2 = coords2[0,i]
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        /* "pyqcprot.pyx":138
   *             G1 += x1*coords1[0,i] + y1*coords1[1,i] + z1*coords1[2,i]
   * 
   *             x2 = coords2[0,i]             # <<<<<<<<<<<<<<
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        /* "pyqcprot.pyx":139
   * 
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        /* "pyqcprot.pyx":140
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   * 
   *             G2 += weight[i] * (x2*x2 + y2*y2 + z2*z2)
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        /* "pyqcprot.pyx":142
   *             z2 = coords2[2,i]
   * 
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   *             A[0] +=  (x1 * x2)
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        /* "pyqcprot.pyx":144
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        /* "pyqcprot.pyx":145
   * 
   *             A[0] +=  (x1 * x2)
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   *             A[2] +=  (x1 * z2)
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        /* "pyqcprot.pyx":146
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   * 
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        /* "pyqcprot.pyx":148
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   *             A[4] +=  (y1 * y2)
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        /* "pyqcprot.pyx":149
   * 
   *             A[3] +=  (y1 * x2)
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   *             A[5] +=  (y1 * z2)
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        /* "pyqcprot.pyx":150
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   * 
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        /* "pyqcprot.pyx":152
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        /* "pyqcprot.pyx":153
   * 
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   *             A[8] +=  (z1 * z2)
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        /* "pyqcprot.pyx":154
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        /* "pyqcprot.pyx":158
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        /* "pyqcprot.pyx":159
   *         for i in xrange(N):
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   *             z1 = coords1[2,i]
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        /* "pyqcprot.pyx":160
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   *             y1 = coords1[1,i]
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        /* "pyqcprot.pyx":162
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        /* "pyqcprot.pyx":164
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        /* "pyqcprot.pyx":165
   * 
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        /* "pyqcprot.pyx":166
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        /* "pyqcprot.pyx":168
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   * 
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        /* "pyqcprot.pyx":170
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        /* "pyqcprot.pyx":171
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   *             A[0] +=  (x1 * x2)
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    /* "pyqcprot.pyx":230
   *     Syx = A[3]
   *     Syy = A[4]
   *     Syz = A[5]             # <<<<<<<<<<<<<<
   *     Szx = A[6]
   *     Szy = A[7]
   */
    __pyx_t_9 = 5;
    __pyx_v_Syz = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_A.rcbuffer->pybuffer.buf, __pyx_t_9, __pyx_pybuffernd_A.diminfo[0].strides));
  
    /* "pyqcprot.pyx":231
   *     Syy = A[4]
   *     Syz = A[5]
   *     Szx = A[6]             # <<<<<<<<<<<<<<
   *     Szy = A[7]
   *     Szz = A[8]
   */
    __pyx_t_10 = 6;
    __pyx_v_Szx = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_A.rcbuffer->pybuffer.buf, __pyx_t_10, __pyx_pybuffernd_A.diminfo[0].strides));
  
    /* "pyqcprot.pyx":232
   *     Syz = A[5]
   *     Szx = A[6]
   *     Szy = A[7]             # <<<<<<<<<<<<<<
   *     Szz = A[8]
   * 
   */
    __pyx_t_11 = 7;
    __pyx_v_Szy = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_A.rcbuffer->pybuffer.buf, __pyx_t_11, __pyx_pybuffernd_A.diminfo[0].strides));
  
    /* "pyqcprot.pyx":233
   *     Szx = A[6]
   *     Szy = A[7]
   *     Szz = A[8]             # <<<<<<<<<<<<<<
   * 
   *     Sxx2 = Sxx * Sxx
   */
    __pyx_t_12 = 8;
    __pyx_v_Szz = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_A.rcbuffer->pybuffer.buf, __pyx_t_12, __pyx_pybuffernd_A.diminfo[0].strides));
  
    /* "pyqcprot.pyx":235
   *     Szz = A[8]
   * 
   *     Sxx2 = Sxx * Sxx             # <<<<<<<<<<<<<<
   *     Syy2 = Syy * Syy
   *     Szz2 = Szz * Szz
   */
    __pyx_v_Sxx2 = (__pyx_v_Sxx * __pyx_v_Sxx);
  
    /* "pyqcprot.pyx":236
   * 
   *     Sxx2 = Sxx * Sxx
   *     Syy2 = Syy * Syy             # <<<<<<<<<<<<<<
   *     Szz2 = Szz * Szz
   * 
   */
    __pyx_v_Syy2 = (__pyx_v_Syy * __pyx_v_Syy);
  
    /* "pyqcprot.pyx":237
   *     Sxx2 = Sxx * Sxx
   *     Syy2 = Syy * Syy
   *     Szz2 = Szz * Szz             # <<<<<<<<<<<<<<
   * 
   *     Sxy2 = Sxy * Sxy
   */
    __pyx_v_Szz2 = (__pyx_v_Szz * __pyx_v_Szz);
  
    /* "pyqcprot.pyx":239
   *     Szz2 = Szz * Szz
   * 
   *     Sxy2 = Sxy * Sxy             # <<<<<<<<<<<<<<
   *     Syz2 = Syz * Syz
   *     Sxz2 = Sxz * Sxz
   */
    __pyx_v_Sxy2 = (__pyx_v_Sxy * __pyx_v_Sxy);
  
    /* "pyqcprot.pyx":240
   * 
   *     Sxy2 = Sxy * Sxy
   *     Syz2 = Syz * Syz             # <<<<<<<<<<<<<<
   *     Sxz2 = Sxz * Sxz
   * 
   */
    __pyx_v_Syz2 = (__pyx_v_Syz * __pyx_v_Syz);
  
    /* "pyqcprot.pyx":241
   *     Sxy2 = Sxy * Sxy
   *     Syz2 = Syz * Syz
   *     Sxz2 = Sxz * Sxz             # <<<<<<<<<<<<<<
   * 
   *     Syx2 = Syx * Syx
   */
    __pyx_v_Sxz2 = (__pyx_v_Sxz * __pyx_v_Sxz);
  
    /* "pyqcprot.pyx":243
   *     Sxz2 = Sxz * Sxz
   * 
   *     Syx2 = Syx * Syx             # <<<<<<<<<<<<<<
   *     Szy2 = Szy * Szy
   *     Szx2 = Szx * Szx
   */
    __pyx_v_Syx2 = (__pyx_v_Syx * __pyx_v_Syx);
  
    /* "pyqcprot.pyx":244
   * 
   *     Syx2 = Syx * Syx
   *     Szy2 = Szy * Szy             # <<<<<<<<<<<<<<
   *     Szx2 = Szx * Szx
   * 
   */
    __pyx_v_Szy2 = (__pyx_v_Szy * __pyx_v_Szy);
  
    /* "pyqcprot.pyx":245
   *     Syx2 = Syx * Syx
   *     Szy2 = Szy * Szy
   *     Szx2 = Szx * Szx             # <<<<<<<<<<<<<<
   * 
   *     SyzSzymSyySzz2 = 2.0*(Syz*Szy - Syy*Szz)
   */
    __pyx_v_Szx2 = (__pyx_v_Szx * __pyx_v_Szx);
  
    /* "pyqcprot.pyx":247
   *     Szx2 = Szx * Szx
   * 
   *     SyzSzymSyySzz2 = 2.0*(Syz*Szy - Syy*Szz)             # <<<<<<<<<<<<<<
   *     Sxx2Syy2Szz2Syz2Szy2 = Syy2 + Szz2 - Sxx2 + Syz2 + Szy2
   * 
   */
    __pyx_v_SyzSzymSyySzz2 = (2.0 * ((__pyx_v_Syz * __pyx_v_Szy) - (__pyx_v_Syy * __pyx_v_Szz)));
  
    /* "pyqcprot.pyx":248
   * 
   *     SyzSzymSyySzz2 = 2.0*(Syz*Szy - Syy*Szz)
   *     Sxx2Syy2Szz2Syz2Szy2 = Syy2 + Szz2 - Sxx2 + Syz2 + Szy2             # <<<<<<<<<<<<<<
   * 
   *     C[2] = -2.0 * (Sxx2 + Syy2 + Szz2 + Sxy2 + Syx2 + Sxz2 + Szx2 + Syz2 + Szy2)
   */
    __pyx_v_Sxx2Syy2Szz2Syz2Szy2 = ((((__pyx_v_Syy2 + __pyx_v_Szz2) - __pyx_v_Sxx2) + __pyx_v_Syz2) + __pyx_v_Szy2);
  
    /* "pyqcprot.pyx":250
   *     Sxx2Syy2Szz2Syz2Szy2 = Syy2 + Szz2 - Sxx2 + Syz2 + Szy2
   * 
   *     C[2] = -2.0 * (Sxx2 + Syy2 + Szz2 + Sxy2 + Syx2 + Sxz2 + Szx2 + Syz2 + Szy2)             # <<<<<<<<<<<<<<
   *     C[1] = 8.0 * (Sxx*Syz*Szy + Syy*Szx*Sxz + Szz*Sxy*Syx - Sxx*Syy*Szz - Syz*Szx*Sxy - Szy*Syx*Sxz)
   * 
   */
    __pyx_t_13 = 2;
    *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_C.rcbuffer->pybuffer.buf, __pyx_t_13, __pyx_pybuffernd_C.diminfo[0].strides) = (-2.0 * ((((((((__pyx_v_Sxx2 + __pyx_v_Syy2) + __pyx_v_Szz2) + __pyx_v_Sxy2) + __pyx_v_Syx2) + __pyx_v_Sxz2) + __pyx_v_Szx2) + __pyx_v_Syz2) + __pyx_v_Szy2));
  
    /* "pyqcprot.pyx":251
   * 
   *     C[2] = -2.0 * (Sxx2 + Syy2 + Szz2 + Sxy2 + Syx2 + Sxz2 + Szx2 + Syz2 + Szy2)
   *     C[1] = 8.0 * (Sxx*Syz*Szy + Syy*Szx*Sxz + Szz*Sxy*Syx - Sxx*Syy*Szz - Syz*Szx*Sxy - Szy*Syx*Sxz)             # <<<<<<<<<<<<<<
   * 
   *     SxzpSzx = Sxz + Szx
   */
    __pyx_t_14 = 1;
    *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_C.rcbuffer->pybuffer.buf, __pyx_t_14, __pyx_pybuffernd_C.diminfo[0].strides) = (8.0 * (((((((__pyx_v_Sxx * __pyx_v_Syz) * __pyx_v_Szy) + ((__pyx_v_Syy * __pyx_v_Szx) * __pyx_v_Sxz)) + ((__pyx_v_Szz * __pyx_v_Sxy) * __pyx_v_Syx)) - ((__pyx_v_Sxx * __pyx_v_Syy) * __pyx_v_Szz)) - ((__pyx_v_Syz * __pyx_v_Szx) * __pyx_v_Sxy)) - ((__pyx_v_Szy * __pyx_v_Syx) * __pyx_v_Sxz)));
  
    /* "pyqcprot.pyx":253
   *     C[1] = 8.0 * (Sxx*Syz*Szy + Syy*Szx*Sxz + Szz*Sxy*Syx - Sxx*Syy*Szz - Syz*Szx*Sxy - Szy*Syx*Sxz)
   * 
   *     SxzpSzx = Sxz + Szx             # <<<<<<<<<<<<<<
   *     SyzpSzy = Syz + Szy
   *     SxypSyx = Sxy + Syx
   */
    __pyx_v_SxzpSzx = (__pyx_v_Sxz + __pyx_v_Szx);
  
    /* "pyqcprot.pyx":254
   * 
   *     SxzpSzx = Sxz + Szx
   *     SyzpSzy = Syz + Szy             # <<<<<<<<<<<<<<
   *     SxypSyx = Sxy + Syx
   *     SyzmSzy = Syz - Szy
   */
    __pyx_v_SyzpSzy = (__pyx_v_Syz + __pyx_v_Szy);
  
    /* "pyqcprot.pyx":255
   *     SxzpSzx = Sxz + Szx
   *     SyzpSzy = Syz + Szy
   *     SxypSyx = Sxy + Syx             # <<<<<<<<<<<<<<
   *     SyzmSzy = Syz - Szy
   *     SxzmSzx = Sxz - Szx
   */
    __pyx_v_SxypSyx = (__pyx_v_Sxy + __pyx_v_Syx);
  
    /* "pyqcprot.pyx":256
   *     SyzpSzy = Syz + Szy
   *     SxypSyx = Sxy + Syx
   *     SyzmSzy = Syz - Szy             # <<<<<<<<<<<<<<
   *     SxzmSzx = Sxz - Szx
   *     SxymSyx = Sxy - Syx
   */
    __pyx_v_SyzmSzy = (__pyx_v_Syz - __pyx_v_Szy);
  
    /* "pyqcprot.pyx":257
   *     SxypSyx = Sxy + Syx
   *     SyzmSzy = Syz - Szy
   *     SxzmSzx = Sxz - Szx             # <<<<<<<<<<<<<<
   *     SxymSyx = Sxy - Syx
   *     SxxpSyy = Sxx + Syy
   */
    __pyx_v_SxzmSzx = (__pyx_v_Sxz - __pyx_v_Szx);
  
    /* "pyqcprot.pyx":258
   *     SyzmSzy = Syz - Szy
   *     SxzmSzx = Sxz - Szx
   *     SxymSyx = Sxy - Syx             # <<<<<<<<<<<<<<
   *     SxxpSyy = Sxx + Syy
   *     SxxmSyy = Sxx - Syy
   */
    __pyx_v_SxymSyx = (__pyx_v_Sxy - __pyx_v_Syx);
  
    /* "pyqcprot.pyx":259
   *     SxzmSzx = Sxz - Szx
   *     SxymSyx = Sxy - Syx
   *     SxxpSyy = Sxx + Syy             # <<<<<<<<<<<<<<
   *     SxxmSyy = Sxx - Syy
   *     Sxy2Sxz2Syx2Szx2 = Sxy2 + Sxz2 - Syx2 - Szx2
   */
    __pyx_v_SxxpSyy = (__pyx_v_Sxx + __pyx_v_Syy);
  
    /* "pyqcprot.pyx":260
   *     SxymSyx = Sxy - Syx
   *     SxxpSyy = Sxx + Syy
   *     SxxmSyy = Sxx - Syy             # <<<<<<<<<<<<<<
   *     Sxy2Sxz2Syx2Szx2 = Sxy2 + Sxz2 - Syx2 - Szx2
   * 
   */
    __pyx_v_SxxmSyy = (__pyx_v_Sxx - __pyx_v_Syy);
  
    /* "pyqcprot.pyx":261
   *     SxxpSyy = Sxx + Syy
   *     SxxmSyy = Sxx - Syy
   *     Sxy2Sxz2Syx2Szx2 = Sxy2 + Sxz2 - Syx2 - Szx2             # <<<<<<<<<<<<<<
   * 
   *     C[0] = (Sxy2Sxz2Syx2Szx2 * Sxy2Sxz2Syx2Szx2
   */
    __pyx_v_Sxy2Sxz2Syx2Szx2 = (((__pyx_v_Sxy2 + __pyx_v_Sxz2) - __pyx_v_Syx2) - __pyx_v_Szx2);
  
    /* "pyqcprot.pyx":263
   *     Sxy2Sxz2Syx2Szx2 = Sxy2 + Sxz2 - Syx2 - Szx2
   * 
   *     C[0] = (Sxy2Sxz2Syx2Szx2 * Sxy2Sxz2Syx2Szx2             # <<<<<<<<<<<<<<
   *          + (Sxx2Syy2Szz2Syz2Szy2 + SyzSzymSyySzz2) * (Sxx2Syy2Szz2Syz2Szy2 - SyzSzymSyySzz2)
   *          + (-(SxzpSzx)*(SyzmSzy)+(SxymSyx)*(SxxmSyy-Szz)) * (-(SxzmSzx)*(SyzpSzy)+(SxymSyx)*(SxxmSyy+Szz))
   */
    __pyx_t_15 = 0;
    *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_C.rcbuffer->pybuffer.buf, __pyx_t_15, __pyx_pybuffernd_C.diminfo[0].strides) = ((((((__pyx_v_Sxy2Sxz2Syx2Szx2 * __pyx_v_Sxy2Sxz2Syx2Szx2) + ((__pyx_v_Sxx2Syy2Szz2Syz2Szy2 + __pyx_v_SyzSzymSyySzz2) * (__pyx_v_Sxx2Syy2Szz2Syz2Szy2 - __pyx_v_SyzSzymSyySzz2))) + ((((-__pyx_v_SxzpSzx) * __pyx_v_SyzmSzy) + (__pyx_v_SxymSyx * (__pyx_v_SxxmSyy - __pyx_v_Szz))) * (((-__pyx_v_SxzmSzx) * __pyx_v_SyzpSzy) + (__pyx_v_SxymSyx * (__pyx_v_SxxmSyy + __pyx_v_Szz))))) + ((((-__pyx_v_SxzpSzx) * __pyx_v_SyzpSzy) - (__pyx_v_SxypSyx * (__pyx_v_SxxpSyy - __pyx_v_Szz))) * (((-__pyx_v_SxzmSzx) * __pyx_v_SyzmSzy) - (__pyx_v_SxypSyx * (__pyx_v_SxxpSyy + __pyx_v_Szz))))) + (((__pyx_v_SxypSyx * __pyx_v_SyzpSzy) + (__pyx_v_SxzpSzx * (__pyx_v_SxxmSyy + __pyx_v_Szz))) * (((-__pyx_v_SxymSyx) * __pyx_v_SyzmSzy) + (__pyx_v_SxzpSzx * (__pyx_v_SxxpSyy + __pyx_v_Szz))))) + (((__pyx_v_SxypSyx * __pyx_v_SyzmSzy) + (__pyx_v_SxzmSzx * (__pyx_v_SxxmSyy - __pyx_v_Szz))) * (((-__pyx_v_SxymSyx) * __pyx_v_SyzpSzy) + (__pyx_v_SxzmSzx * (__pyx_v_SxxpSyy - __pyx_v_Szz)))));
  
    /* "pyqcprot.pyx":270
   *          + (+(SxypSyx)*(SyzmSzy)+(SxzmSzx)*(SxxmSyy-Szz)) * (-(SxymSyx)*(SyzpSzy)+(SxzmSzx)*(SxxpSyy-Szz)))
   * 
   *     mxEigenV = E0             # <<<<<<<<<<<<<<
   *     for i in xrange(50):
   *         oldg = mxEigenV
   */
    __pyx_v_mxEigenV = __pyx_v_E0;
  
    /* "pyqcprot.pyx":271
   * 
   *     mxEigenV = E0
   *     for i in xrange(50):             # <<<<<<<<<<<<<<
   *         oldg = mxEigenV
   *         x2 = mxEigenV*mxEigenV
   */
    for (__pyx_t_16 = 0; __pyx_t_16 < 50; __pyx_t_16+=1) {
      __pyx_v_i = __pyx_t_16;
  
      /* "pyqcprot.pyx":272
   *     mxEigenV = E0
   *     for i in xrange(50):
   *         oldg = mxEigenV             # <<<<<<<<<<<<<<
   *         x2 = mxEigenV*mxEigenV
   *         b = (x2 + C[2])*mxEigenV
   */
      __pyx_v_oldg = __pyx_v_mxEigenV;
  
      /* "pyqcprot.pyx":273
   *     for i in xrange(50):
   *         oldg = mxEigenV
   *         x2 = mxEigenV*mxEigenV             # <<<<<<<<<<<<<<
   *         b = (x2 + C[2])*mxEigenV
   *         a = b + C[1]
   */
      __pyx_v_x2 = (__pyx_v_mxEigenV * __pyx_v_mxEigenV);
  
      /* "pyqcprot.pyx":274
   *         oldg = mxEigenV
   *         x2 = mxEigenV*mxEigenV
   *         b = (x2 + C[2])*mxEigenV             # <<<<<<<<<<<<<<
   *         a = b + C[1]
   *         delta = ((a*mxEigenV + C[0])/(2.0*x2*mxEigenV + b + a))
   */
      __pyx_t_17 = 2;
      __pyx_v_b = ((__pyx_v_x2 + (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_C.rcbuffer->pybuffer.buf, __pyx_t_17, __pyx_pybuffernd_C.diminfo[0].strides))) * __pyx_v_mxEigenV);
  
      /* "pyqcprot.pyx":275
   *         x2 = mxEigenV*mxEigenV
   *         b = (x2 + C[2])*mxEigenV
   *         a = b + C[1]             # <<<<<<<<<<<<<<
   *         delta = ((a*mxEigenV + C[0])/(2.0*x2*mxEigenV + b + a))
   *         mxEigenV -= delta
   */
      __pyx_t_18 = 1;
      __pyx_v_a = (__pyx_v_b + (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_C.rcbuffer->pybuffer.buf, __pyx_t_18, __pyx_pybuffernd_C.diminfo[0].strides)));
  
      /* "pyqcprot.pyx":276
   *         b = (x2 + C[2])*mxEigenV
   *         a = b + C[1]
   *         delta = ((a*mxEigenV + C[0])/(2.0*x2*mxEigenV + b + a))             # <<<<<<<<<<<<<<
   *         mxEigenV -= delta
   *         if (fabs(mxEigenV - oldg) < fabs((evalprec)*mxEigenV)):
   */
      __pyx_t_19 = 0;
      __pyx_t_20 = ((__pyx_v_a * __pyx_v_mxEigenV) + (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_C.rcbuffer->pybuffer.buf, __pyx_t_19, __pyx_pybuffernd_C.diminfo[0].strides)));
      __pyx_t_21 = ((((2.0 * __pyx_v_x2) * __pyx_v_mxEigenV) + __pyx_v_b) + __pyx_v_a);
      if (unlikely(__pyx_t_21 == 0)) {
        #ifdef WITH_THREAD
        PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
        #endif
        PyErr_SetString(PyExc_ZeroDivisionError, "float division");
        #ifdef WITH_THREAD
        PyGILState_Release(__pyx_gilstate_save);
        #endif
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 276; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      }
      __pyx_v_delta = (__pyx_t_20 / __pyx_t_21);
  
      /* "pyqcprot.pyx":277
   *         a = b + C[1]
   *         delta = ((a*mxEigenV + C[0])/(2.0*x2*mxEigenV + b + a))
   *         mxEigenV -= delta             # <<<<<<<<<<<<<<
   *         if (fabs(mxEigenV - oldg) < fabs((evalprec)*mxEigenV)):
   *             break
   */
      __pyx_v_mxEigenV = (__pyx_v_mxEigenV - __pyx_v_delta);
  
      /* "pyqcprot.pyx":278
   *         delta = ((a*mxEigenV + C[0])/(2.0*x2*mxEigenV + b + a))
   *         mxEigenV -= delta
   *         if (fabs(mxEigenV - oldg) < fabs((evalprec)*mxEigenV)):             # <<<<<<<<<<<<<<
   *             break
   * 
   */
      __pyx_t_22 = ((fabs((__pyx_v_mxEigenV - __pyx_v_oldg)) < fabs((__pyx_v_evalprec * __pyx_v_mxEigenV))) != 0);
      if (__pyx_t_22) {
  
        /* "pyqcprot.pyx":279
   *         mxEigenV -= delta
   *         if (fabs(mxEigenV - oldg) < fabs((evalprec)*mxEigenV)):
   *             break             # <<<<<<<<<<<<<<
   * 
   *     #if (i == 50):
   */
        goto __pyx_L4_break;
      }
    }
    __pyx_L4_break:;
  
    /* "pyqcprot.pyx":285
   * 
   *     # the fabs() is to guard against extremely small, but *negative* numbers due to floating point error
   *     rms = sqrt(fabs(2.0 * (E0 - mxEigenV)/N))             # <<<<<<<<<<<<<<
   * 
   *     if (rot is None):
   */
    __pyx_t_21 = (2.0 * (__pyx_v_E0 - __pyx_v_mxEigenV));
    if (unlikely(__pyx_v_N == 0)) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 285; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_v_rms = sqrt(fabs((__pyx_t_21 / __pyx_v_N)));
  
    /* "pyqcprot.pyx":287
   *     rms = sqrt(fabs(2.0 * (E0 - mxEigenV)/N))
   * 
   *     if (rot is None):             # <<<<<<<<<<<<<<
   *         return rms # Don't bother with rotation.
   * 
   */
    __pyx_t_22 = (((PyObject *)__pyx_v_rot) == Py_None);
    __pyx_t_23 = (__pyx_t_22 != 0);
    if (__pyx_t_23) {
  
      /* "pyqcprot.pyx":288
   * 
   *     if (rot is None):
   *         return rms # Don't bother with rotation.             # <<<<<<<<<<<<<<
   * 
   *     a11 = SxxpSyy + Szz-mxEigenV; a12 = SyzmSzy; a13 = - SxzmSzx; a14 = SxymSyx
   */
      __Pyx_XDECREF(__pyx_r);
      __pyx_t_1 = PyFloat_FromDouble(__pyx_v_rms); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 288; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_1);
      __pyx_r = __pyx_t_1;
      __pyx_t_1 = 0;
      goto __pyx_L0;
    }
  
    /* "pyqcprot.pyx":290
   *         return rms # Don't bother with rotation.
   * 
   *     a11 = SxxpSyy + Szz-mxEigenV; a12 = SyzmSzy; a13 = - SxzmSzx; a14 = SxymSyx             # <<<<<<<<<<<<<<
   *     a21 = SyzmSzy; a22 = SxxmSyy - Szz-mxEigenV; a23 = SxypSyx; a24= SxzpSzx
   *     a31 = a13; a32 = a23; a33 = Syy-Sxx-Szz - mxEigenV; a34 = SyzpSzy
   */
    __pyx_v_a11 = ((__pyx_v_SxxpSyy + __pyx_v_Szz) - __pyx_v_mxEigenV);
    __pyx_v_a12 = __pyx_v_SyzmSzy;
    __pyx_v_a13 = (-__pyx_v_SxzmSzx);
    __pyx_v_a14 = __pyx_v_SxymSyx;
  
    /* "pyqcprot.pyx":291
   * 
   *     a11 = SxxpSyy + Szz-mxEigenV; a12 = SyzmSzy; a13 = - SxzmSzx; a14 = SxymSyx
   *     a21 = SyzmSzy; a22 = SxxmSyy - Szz-mxEigenV; a23 = SxypSyx; a24= SxzpSzx             # <<<<<<<<<<<<<<
   *     a31 = a13; a32 = a23; a33 = Syy-Sxx-Szz - mxEigenV; a34 = SyzpSzy
   *     a41 = a14; a42 = a24; a43 = a34; a44 = Szz - SxxpSyy - mxEigenV
   */
    __pyx_v_a21 = __pyx_v_SyzmSzy;
    __pyx_v_a22 = ((__pyx_v_SxxmSyy - __pyx_v_Szz) - __pyx_v_mxEigenV);
    __pyx_v_a23 = __pyx_v_SxypSyx;
    __pyx_v_a24 = __pyx_v_SxzpSzx;
  
    /* "pyqcprot.pyx":292
   *     a11 = SxxpSyy + Szz-mxEigenV; a12 = SyzmSzy; a13 = - SxzmSzx; a14 = SxymSyx
   *     a21 = SyzmSzy; a22 = SxxmSyy - Szz-mxEigenV; a23 = SxypSyx; a24= SxzpSzx
   *     a31 = a13; a32 = a23; a33 = Syy-Sxx-Szz - mxEigenV; a34 = SyzpSzy             # <<<<<<<<<<<<<<
   *     a41 = a14; a42 = a24; a43 = a34; a44 = Szz - SxxpSyy - mxEigenV
   *     a3344_4334 = a33 * a44 - a43 * a34; a3244_4234 = a32 * a44-a42*a34
   */
    __pyx_v_a31 = __pyx_v_a13;
    __pyx_v_a32 = __pyx_v_a23;
    __pyx_v_a33 = (((__pyx_v_Syy - __pyx_v_Sxx) - __pyx_v_Szz) - __pyx_v_mxEigenV);
    __pyx_v_a34 = __pyx_v_SyzpSzy;
  
    /* "pyqcprot.pyx":293
   *     a21 = SyzmSzy; a22 = SxxmSyy - Szz-mxEigenV; a23 = SxypSyx; a24= SxzpSzx
   *     a31 = a13; a32 = a23; a33 = Syy-Sxx-Szz - mxEigenV; a34 = SyzpSzy
   *     a41 = a14; a42 = a24; a43 = a34; a44 = Szz - SxxpSyy - mxEigenV             # <<<<<<<<<<<<<<
   *     a3344_4334 = a33 * a44 - a43 * a34; a3244_4234 = a32 * a44-a42*a34
   *     a3243_4233 = a32 * a43 - a42 * a33; a3143_4133 = a31 * a43-a41*a33
   */
    __pyx_v_a41 = __pyx_v_a14;
    __pyx_v_a42 = __pyx_v_a24;
    __pyx_v_a43 = __pyx_v_a34;
    __pyx_v_a44 = ((__pyx_v_Szz - __pyx_v_SxxpSyy) - __pyx_v_mxEigenV);
  
    /* "pyqcprot.pyx":294
   *     a31 = a13; a32 = a23; a33 = Syy-Sxx-Szz - mxEigenV; a34 = SyzpSzy
   *     a41 = a14; a42 = a24; a43 = a34; a44 = Szz - SxxpSyy - mxEigenV
   *     a3344_4334 = a33 * a44 - a43 * a34; a3244_4234 = a32 * a44-a42*a34             # <<<<<<<<<<<<<<
   *     a3243_4233 = a32 * a43 - a42 * a33; a3143_4133 = a31 * a43-a41*a33
   *     a3144_4134 = a31 * a44 - a41 * a34; a3142_4132 = a31 * a42-a41*a32
   */
    __pyx_v_a3344_4334 = ((__pyx_v_a33 * __pyx_v_a44) - (__pyx_v_a43 * __pyx_v_a34));
    __pyx_v_a3244_4234 = ((__pyx_v_a32 * __pyx_v_a44) - (__pyx_v_a42 * __pyx_v_a34));
  
    /* "pyqcprot.pyx":295
   *     a41 = a14; a42 = a24; a43 = a34; a44 = Szz - SxxpSyy - mxEigenV
   *     a3344_4334 = a33 * a44 - a43 * a34; a3244_4234 = a32 * a44-a42*a34
   *     a3243_4233 = a32 * a43 - a42 * a33; a3143_4133 = a31 * a43-a41*a33             # <<<<<<<<<<<<<<
   *     a3144_4134 = a31 * a44 - a41 * a34; a3142_4132 = a31 * a42-a41*a32
   *     q1 =  a22*a3344_4334-a23*a3244_4234+a24*a3243_4233
   */
    __pyx_v_a3243_4233 = ((__pyx_v_a32 * __pyx_v_a43) - (__pyx_v_a42 * __pyx_v_a33));
    __pyx_v_a3143_4133 = ((__pyx_v_a31 * __pyx_v_a43) - (__pyx_v_a41 * __pyx_v_a33));
  
    /* "pyqcprot.pyx":296
   *     a3344_4334 = a33 * a44 - a43 * a34; a3244_4234 = a32 * a44-a42*a34
   *     a3243_4233 = a32 * a43 - a42 * a33; a3143_4133 = a31 * a43-a41*a33
   *     a3144_4134 = a31 * a44 - a41 * a34; a3142_4132 = a31 * a42-a41*a32             # <<<<<<<<<<<<<<
   *     q1 =  a22*a3344_4334-a23*a3244_4234+a24*a3243_4233
   *     q2 = -a21*a3344_4334+a23*a3144_4134-a24*a3143_4133
   */
    __pyx_v_a3144_4134 = ((__pyx_v_a31 * __pyx_v_a44) - (__pyx_v_a41 * __pyx_v_a34));
    __pyx_v_a3142_4132 = ((__pyx_v_a31 * __pyx_v_a42) - (__pyx_v_a41 * __pyx_v_a32));
  
    /* "pyqcprot.pyx":297
   *     a3243_4233 = a32 * a43 - a42 * a33; a3143_4133 = a31 * a43-a41*a33
   *     a3144_4134 = a31 * a44 - a41 * a34; a3142_4132 = a31 * a42-a41*a32
   *     q1 =  a22*a3344_4334-a23*a3244_4234+a24*a3243_4233             # <<<<<<<<<<<<<<
   *     q2 = -a21*a3344_4334+a23*a3144_4134-a24*a3143_4133
   *     q3 =  a21*a3244_4234-a22*a3144_4134+a24*a3142_4132
   */
    __pyx_v_q1 = (((__pyx_v_a22 * __pyx_v_a3344_4334) - (__pyx_v_a23 * __pyx_v_a3244_4234)) + (__pyx_v_a24 * __pyx_v_a3243_4233));
  
    /* "pyqcprot.pyx":298
   *     a3144_4134 = a31 * a44 - a41 * a34; a3142_4132 = a31 * a42-a41*a32
   *     q1 =  a22*a3344_4334-a23*a3244_4234+a24*a3243_4233
   *     q2 = -a21*a3344_4334+a23*a3144_4134-a24*a3143_4133             # <<<<<<<<<<<<<<
   *     q3 =  a21*a3244_4234-a22*a3144_4134+a24*a3142_4132
   *     q4 = -a21*a3243_4233+a22*a3143_4133-a23*a3142_4132
   */
    __pyx_v_q2 = ((((-__pyx_v_a21) * __pyx_v_a3344_4334) + (__pyx_v_a23 * __pyx_v_a3144_4134)) - (__pyx_v_a24 * __pyx_v_a3143_4133));
  
    /* "pyqcprot.pyx":299
   *     q1 =  a22*a3344_4334-a23*a3244_4234+a24*a3243_4233
   *     q2 = -a21*a3344_4334+a23*a3144_4134-a24*a3143_4133
   *     q3 =  a21*a3244_4234-a22*a3144_4134+a24*a3142_4132             # <<<<<<<<<<<<<<
   *     q4 = -a21*a3243_4233+a22*a3143_4133-a23*a3142_4132
   * 
   */
    __pyx_v_q3 = (((__pyx_v_a21 * __pyx_v_a3244_4234) - (__pyx_v_a22 * __pyx_v_a3144_4134)) + (__pyx_v_a24 * __pyx_v_a3142_4132));
  
    /* "pyqcprot.pyx":300
   *     q2 = -a21*a3344_4334+a23*a3144_4134-a24*a3143_4133
   *     q3 =  a21*a3244_4234-a22*a3144_4134+a24*a3142_4132
   *     q4 = -a21*a3243_4233+a22*a3143_4133-a23*a3142_4132             # <<<<<<<<<<<<<<
   * 
   *     qsqr = q1 * q1 + q2 * q2 + q3 * q3 + q4 * q4
   */
    __pyx_v_q4 = ((((-__pyx_v_a21) * __pyx_v_a3243_4233) + (__pyx_v_a22 * __pyx_v_a3143_4133)) - (__pyx_v_a23 * __pyx_v_a3142_4132));
  
    /* "pyqcprot.pyx":302
   *     q4 = -a21*a3243_4233+a22*a3143_4133-a23*a3142_4132
   * 
   *     qsqr = q1 * q1 + q2 * q2 + q3 * q3 + q4 * q4             # <<<<<<<<<<<<<<
   * 
   * # The following code tries to calculate another column in the adjoint matrix when the norm of the
   */
    __pyx_v_qsqr = ((((__pyx_v_q1 * __pyx_v_q1) + (__pyx_v_q2 * __pyx_v_q2)) + (__pyx_v_q3 * __pyx_v_q3)) + (__pyx_v_q4 * __pyx_v_q4));
  
    /* "pyqcprot.pyx":309
   * #   uncommented, but it is most likely unnecessary.
   * 
   *     if (qsqr < evecprec):             # <<<<<<<<<<<<<<
   *         q1 =  a12*a3344_4334 - a13*a3244_4234 + a14*a3243_4233
   *         q2 = -a11*a3344_4334 + a13*a3144_4134 - a14*a3143_4133
   */
    __pyx_t_23 = ((__pyx_v_qsqr < __pyx_v_evecprec) != 0);
    if (__pyx_t_23) {
  
      /* "pyqcprot.pyx":310
   * 
   *     if (qsqr < evecprec):
   *         q1 =  a12*a3344_4334 - a13*a3244_4234 + a14*a3243_4233             # <<<<<<<<<<<<<<
   *         q2 = -a11*a3344_4334 + a13*a3144_4134 - a14*a3143_4133
   *         q3 =  a11*a3244_4234 - a12*a3144_4134 + a14*a3142_4132
   */
      __pyx_v_q1 = (((__pyx_v_a12 * __pyx_v_a3344_4334) - (__pyx_v_a13 * __pyx_v_a3244_4234)) + (__pyx_v_a14 * __pyx_v_a3243_4233));
  
      /* "pyqcprot.pyx":311
   *     if (qsqr < evecprec):
   *         q1 =  a12*a3344_4334 - a13*a3244_4234 + a14*a3243_4233
   *         q2 = -a11*a3344_4334 + a13*a3144_4134 - a14*a3143_4133             # <<<<<<<<<<<<<<
   *         q3 =  a11*a3244_4234 - a12*a3144_4134 + a14*a3142_4132
   *         q4 = -a11*a3243_4233 + a12*a3143_4133 - a13*a3142_4132
   */
      __pyx_v_q2 = ((((-__pyx_v_a11) * __pyx_v_a3344_4334) + (__pyx_v_a13 * __pyx_v_a3144_4134)) - (__pyx_v_a14 * __pyx_v_a3143_4133));
  
      /* "pyqcprot.pyx":312
   *         q1 =  a12*a3344_4334 - a13*a3244_4234 + a14*a3243_4233
   *         q2 = -a11*a3344_4334 + a13*a3144_4134 - a14*a3143_4133
   *         q3 =  a11*a3244_4234 - a12*a3144_4134 + a14*a3142_4132             # <<<<<<<<<<<<<<
   *         q4 = -a11*a3243_4233 + a12*a3143_4133 - a13*a3142_4132
   *         qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4
   */
      __pyx_v_q3 = (((__pyx_v_a11 * __pyx_v_a3244_4234) - (__pyx_v_a12 * __pyx_v_a3144_4134)) + (__pyx_v_a14 * __pyx_v_a3142_4132));
  
      /* "pyqcprot.pyx":313
   *         q2 = -a11*a3344_4334 + a13*a3144_4134 - a14*a3143_4133
   *         q3 =  a11*a3244_4234 - a12*a3144_4134 + a14*a3142_4132
   *         q4 = -a11*a3243_4233 + a12*a3143_4133 - a13*a3142_4132             # <<<<<<<<<<<<<<
   *         qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4
   * 
   */
      __pyx_v_q4 = ((((-__pyx_v_a11) * __pyx_v_a3243_4233) + (__pyx_v_a12 * __pyx_v_a3143_4133)) - (__pyx_v_a13 * __pyx_v_a3142_4132));
  
      /* "pyqcprot.pyx":314
   *         q3 =  a11*a3244_4234 - a12*a3144_4134 + a14*a3142_4132
   *         q4 = -a11*a3243_4233 + a12*a3143_4133 - a13*a3142_4132
   *         qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4             # <<<<<<<<<<<<<<
   * 
   *         if (qsqr < evecprec):
   */
      __pyx_v_qsqr = ((((__pyx_v_q1 * __pyx_v_q1) + (__pyx_v_q2 * __pyx_v_q2)) + (__pyx_v_q3 * __pyx_v_q3)) + (__pyx_v_q4 * __pyx_v_q4));
  
      /* "pyqcprot.pyx":316
   *         qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4
   * 
   *         if (qsqr < evecprec):             # <<<<<<<<<<<<<<
   *             a1324_1423 = a13 * a24 - a14 * a23
   *             a1224_1422 = a12 * a24 - a14 * a22
   */
      __pyx_t_23 = ((__pyx_v_qsqr < __pyx_v_evecprec) != 0);
      if (__pyx_t_23) {
  
        /* "pyqcprot.pyx":317
   * 
   *         if (qsqr < evecprec):
   *             a1324_1423 = a13 * a24 - a14 * a23             # <<<<<<<<<<<<<<
   *             a1224_1422 = a12 * a24 - a14 * a22
   *             a1223_1322 = a12 * a23 - a13 * a22
   */
        __pyx_v_a1324_1423 = ((__pyx_v_a13 * __pyx_v_a24) - (__pyx_v_a14 * __pyx_v_a23));
  
        /* "pyqcprot.pyx":318
   *         if (qsqr < evecprec):
   *             a1324_1423 = a13 * a24 - a14 * a23
   *             a1224_1422 = a12 * a24 - a14 * a22             # <<<<<<<<<<<<<<
   *             a1223_1322 = a12 * a23 - a13 * a22
   *             a1124_1421 = a11 * a24 - a14 * a21
   */
        __pyx_v_a1224_1422 = ((__pyx_v_a12 * __pyx_v_a24) - (__pyx_v_a14 * __pyx_v_a22));
  
        /* "pyqcprot.pyx":319
   *             a1324_1423 = a13 * a24 - a14 * a23
   *             a1224_1422 = a12 * a24 - a14 * a22
   *             a1223_1322 = a12 * a23 - a13 * a22             # <<<<<<<<<<<<<<
   *             a1124_1421 = a11 * a24 - a14 * a21
   *             a1123_1321 = a11 * a23 - a13 * a21
   */
        __pyx_v_a1223_1322 = ((__pyx_v_a12 * __pyx_v_a23) - (__pyx_v_a13 * __pyx_v_a22));
  
        /* "pyqcprot.pyx":320
   *             a1224_1422 = a12 * a24 - a14 * a22
   *             a1223_1322 = a12 * a23 - a13 * a22
   *             a1124_1421 = a11 * a24 - a14 * a21             # <<<<<<<<<<<<<<
   *             a1123_1321 = a11 * a23 - a13 * a21
   *             a1122_1221 = a11 * a22 - a12 * a21
   */
        __pyx_v_a1124_1421 = ((__pyx_v_a11 * __pyx_v_a24) - (__pyx_v_a14 * __pyx_v_a21));
  
        /* "pyqcprot.pyx":321
   *             a1223_1322 = a12 * a23 - a13 * a22
   *             a1124_1421 = a11 * a24 - a14 * a21
   *             a1123_1321 = a11 * a23 - a13 * a21             # <<<<<<<<<<<<<<
   *             a1122_1221 = a11 * a22 - a12 * a21
   * 
   */
        __pyx_v_a1123_1321 = ((__pyx_v_a11 * __pyx_v_a23) - (__pyx_v_a13 * __pyx_v_a21));
  
        /* "pyqcprot.pyx":322
   *             a1124_1421 = a11 * a24 - a14 * a21
   *             a1123_1321 = a11 * a23 - a13 * a21
   *             a1122_1221 = a11 * a22 - a12 * a21             # <<<<<<<<<<<<<<
   * 
   *             q1 =  a42 * a1324_1423 - a43 * a1224_1422 + a44 * a1223_1322
   */
        __pyx_v_a1122_1221 = ((__pyx_v_a11 * __pyx_v_a22) - (__pyx_v_a12 * __pyx_v_a21));
  
        /* "pyqcprot.pyx":324
   *             a1122_1221 = a11 * a22 - a12 * a21
   * 
   *             q1 =  a42 * a1324_1423 - a43 * a1224_1422 + a44 * a1223_1322             # <<<<<<<<<<<<<<
   *             q2 = -a41 * a1324_1423 + a43 * a1124_1421 - a44 * a1123_1321
   *             q3 =  a41 * a1224_1422 - a42 * a1124_1421 + a44 * a1122_1221
   */
        __pyx_v_q1 = (((__pyx_v_a42 * __pyx_v_a1324_1423) - (__pyx_v_a43 * __pyx_v_a1224_1422)) + (__pyx_v_a44 * __pyx_v_a1223_1322));
  
        /* "pyqcprot.pyx":325
   * 
   *             q1 =  a42 * a1324_1423 - a43 * a1224_1422 + a44 * a1223_1322
   *             q2 = -a41 * a1324_1423 + a43 * a1124_1421 - a44 * a1123_1321             # <<<<<<<<<<<<<<
   *             q3 =  a41 * a1224_1422 - a42 * a1124_1421 + a44 * a1122_1221
   *             q4 = -a41 * a1223_1322 + a42 * a1123_1321 - a43 * a1122_1221
   */
        __pyx_v_q2 = ((((-__pyx_v_a41) * __pyx_v_a1324_1423) + (__pyx_v_a43 * __pyx_v_a1124_1421)) - (__pyx_v_a44 * __pyx_v_a1123_1321));
  
        /* "pyqcprot.pyx":326
   *             q1 =  a42 * a1324_1423 - a43 * a1224_1422 + a44 * a1223_1322
   *             q2 = -a41 * a1324_1423 + a43 * a1124_1421 - a44 * a1123_1321
   *             q3 =  a41 * a1224_1422 - a42 * a1124_1421 + a44 * a1122_1221             # <<<<<<<<<<<<<<
   *             q4 = -a41 * a1223_1322 + a42 * a1123_1321 - a43 * a1122_1221
   *             qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4
   */
        __pyx_v_q3 = (((__pyx_v_a41 * __pyx_v_a1224_1422) - (__pyx_v_a42 * __pyx_v_a1124_1421)) + (__pyx_v_a44 * __pyx_v_a1122_1221));
  
        /* "pyqcprot.pyx":327
   *             q2 = -a41 * a1324_1423 + a43 * a1124_1421 - a44 * a1123_1321
   *             q3 =  a41 * a1224_1422 - a42 * a1124_1421 + a44 * a1122_1221
   *             q4 = -a41 * a1223_1322 + a42 * a1123_1321 - a43 * a1122_1221             # <<<<<<<<<<<<<<
   *             qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4
   * 
   */
        __pyx_v_q4 = ((((-__pyx_v_a41) * __pyx_v_a1223_1322) + (__pyx_v_a42 * __pyx_v_a1123_1321)) - (__pyx_v_a43 * __pyx_v_a1122_1221));
  
        /* "pyqcprot.pyx":328
   *             q3 =  a41 * a1224_1422 - a42 * a1124_1421 + a44 * a1122_1221
   *             q4 = -a41 * a1223_1322 + a42 * a1123_1321 - a43 * a1122_1221
   *             qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4             # <<<<<<<<<<<<<<
   * 
   *             if (qsqr < evecprec):
   */
        __pyx_v_qsqr = ((((__pyx_v_q1 * __pyx_v_q1) + (__pyx_v_q2 * __pyx_v_q2)) + (__pyx_v_q3 * __pyx_v_q3)) + (__pyx_v_q4 * __pyx_v_q4));
  
        /* "pyqcprot.pyx":330
   *             qsqr = q1*q1 + q2 *q2 + q3*q3+q4*q4
   * 
   *             if (qsqr < evecprec):             # <<<<<<<<<<<<<<
   *                 q1 =  a32 * a1324_1423 - a33 * a1224_1422 + a34 * a1223_1322
   *                 q2 = -a31 * a1324_1423 + a33 * a1124_1421 - a34 * a1123_1321
   */
        __pyx_t_23 = ((__pyx_v_qsqr < __pyx_v_evecprec) != 0);
        if (__pyx_t_23) {
  
          /* "pyqcprot.pyx":331
   * 
   *             if (qsqr < evecprec):
   *                 q1 =  a32 * a1324_1423 - a33 * a1224_1422 + a34 * a1223_1322             # <<<<<<<<<<<<<<
   *                 q2 = -a31 * a1324_1423 + a33 * a1124_1421 - a34 * a1123_1321
   *                 q3 =  a31 * a1224_1422 - a32 * a1124_1421 + a34 * a1122_1221
   */
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          /* "pyqcprot.pyx":332
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   *                 q3 =  a31 * a1224_1422 - a32 * a1124_1421 + a34 * a1122_1221
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   */
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          /* "pyqcprot.pyx":333
   *                 q1 =  a32 * a1324_1423 - a33 * a1224_1422 + a34 * a1223_1322
   *                 q2 = -a31 * a1324_1423 + a33 * a1124_1421 - a34 * a1123_1321
   *                 q3 =  a31 * a1224_1422 - a32 * a1124_1421 + a34 * a1122_1221             # <<<<<<<<<<<<<<
   *                 q4 = -a31 * a1223_1322 + a32 * a1123_1321 - a33 * a1122_1221
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          /* "pyqcprot.pyx":334
   *                 q2 = -a31 * a1324_1423 + a33 * a1124_1421 - a34 * a1123_1321
   *                 q3 =  a31 * a1224_1422 - a32 * a1124_1421 + a34 * a1122_1221
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   */
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          /* "pyqcprot.pyx":335
   *                 q3 =  a31 * a1224_1422 - a32 * a1124_1421 + a34 * a1122_1221
   *                 q4 = -a31 * a1223_1322 + a32 * a1123_1321 - a33 * a1122_1221
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   * 
   *                 if (qsqr < evecprec):
   */
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          /* "pyqcprot.pyx":337
   *                 qsqr = q1*q1 + q2 *q2 + q3*q3 + q4*q4
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   *                 if (qsqr < evecprec):             # <<<<<<<<<<<<<<
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   */
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            /* "pyqcprot.pyx":339
   *                 if (qsqr < evecprec):
   *                     # if qsqr is still too small, return the identity matrix. #
   *                     rot[0] = rot[4] = rot[8] = 1.0             # <<<<<<<<<<<<<<
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   *     q3 /= normq
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   * 
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    /* "pyqcprot.pyx":353
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   *     z2 = q4 * q4
   * 
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   *     xy = q2 * q3
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    /* "pyqcprot.pyx":356
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   * 
   *     xy = q2 * q3             # <<<<<<<<<<<<<<
   *     az = q1 * q4
   *     zx = q4 * q2
   */
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    /* "pyqcprot.pyx":357
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   *     xy = q2 * q3
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   *     zx = q4 * q2
   *     ay = q1 * q3
   */
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    /* "pyqcprot.pyx":358
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    /* "pyqcprot.pyx":359
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   *     zx = q4 * q2
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   *     yz = q3 * q4
   *     ax = q1 * q2
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    /* "pyqcprot.pyx":360
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   *     ax = q1 * q2
   * 
   */
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    /* "pyqcprot.pyx":361
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   *     rot[0] = a2 + x2 - y2 - z2
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    /* "pyqcprot.pyx":364
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    /* "pyqcprot.pyx":365
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      case 'i': return "'int'";
      case 'I': return "'unsigned int'";
      case 'l': return "'long'";
      case 'L': return "'unsigned long'";
      case 'q': return "'long long'";
      case 'Q': return "'unsigned long long'";
      case 'f': return (is_complex ? "'complex float'" : "'float'");
      case 'd': return (is_complex ? "'complex double'" : "'double'");
      case 'g': return (is_complex ? "'complex long double'" : "'long double'");
      case 'T': return "a struct";
      case 'O': return "Python object";
      case 'P': return "a pointer";
      case 's': case 'p': return "a string";
      case 0: return "end";
      default: return "unparseable format string";
    }
  }
  static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return 2;
      case 'i': case 'I': case 'l': case 'L': return 4;
      case 'q': case 'Q': return 8;
      case 'f': return (is_complex ? 8 : 4);
      case 'd': return (is_complex ? 16 : 8);
      case 'g': {
        PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
        return 0;
      }
      case 'O': case 'P': return sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
    switch (ch) {
      case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(short);
      case 'i': case 'I': return sizeof(int);
      case 'l': case 'L': return sizeof(long);
      #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(PY_LONG_LONG);
      #endif
      case 'f': return sizeof(float) * (is_complex ? 2 : 1);
      case 'd': return sizeof(double) * (is_complex ? 2 : 1);
      case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
      case 'O': case 'P': return sizeof(void*);
      default: {
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
    }
  }
  typedef struct { char c; short x; } __Pyx_st_short;
  typedef struct { char c; int x; } __Pyx_st_int;
  typedef struct { char c; long x; } __Pyx_st_long;
  typedef struct { char c; float x; } __Pyx_st_float;
  typedef struct { char c; double x; } __Pyx_st_double;
  typedef struct { char c; long double x; } __Pyx_st_longdouble;
  typedef struct { char c; void *x; } __Pyx_st_void_p;
  #ifdef HAVE_LONG_LONG
  typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
  #endif
  static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
      case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
      case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
  #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
  #endif
      case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
      case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
      case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
      case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  /* These are for computing the padding at the end of the struct to align
     on the first member of the struct. This will probably the same as above,
     but we don't have any guarantees.
   */
  typedef struct { short x; char c; } __Pyx_pad_short;
  typedef struct { int x; char c; } __Pyx_pad_int;
  typedef struct { long x; char c; } __Pyx_pad_long;
  typedef struct { float x; char c; } __Pyx_pad_float;
  typedef struct { double x; char c; } __Pyx_pad_double;
  typedef struct { long double x; char c; } __Pyx_pad_longdouble;
  typedef struct { void *x; char c; } __Pyx_pad_void_p;
  #ifdef HAVE_LONG_LONG
  typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
  #endif
  static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
    switch (ch) {
      case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
      case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
      case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
      case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
  #ifdef HAVE_LONG_LONG
      case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
  #endif
      case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
      case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
      case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
      case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
      default:
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
  }
  static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
    switch (ch) {
      case 'c':
          return 'H';
      case 'b': case 'h': case 'i':
      case 'l': case 'q': case 's': case 'p':
          return 'I';
      case 'B': case 'H': case 'I': case 'L': case 'Q':
          return 'U';
      case 'f': case 'd': case 'g':
          return (is_complex ? 'C' : 'R');
      case 'O':
          return 'O';
      case 'P':
          return 'P';
      default: {
        __Pyx_BufFmt_RaiseUnexpectedChar(ch);
        return 0;
      }
    }
  }
  static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
    if (ctx->head == NULL || ctx->head->field == &ctx->root) {
      const char* expected;
      const char* quote;
      if (ctx->head == NULL) {
        expected = "end";
        quote = "";
      } else {
        expected = ctx->head->field->type->name;
        quote = "'";
      }
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch, expected %s%s%s but got %s",
                   quote, expected, quote,
                   __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
    } else {
      __Pyx_StructField* field = ctx->head->field;
      __Pyx_StructField* parent = (ctx->head - 1)->field;
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                   field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                   parent->type->name, field->name);
    }
  }
  static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
    char group;
    size_t size, offset, arraysize = 1;
    if (ctx->enc_type == 0) return 0;
    if (ctx->head->field->type->arraysize[0]) {
      int i, ndim = 0;
      if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
          ctx->is_valid_array = ctx->head->field->type->ndim == 1;
          ndim = 1;
          if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
              PyErr_Format(PyExc_ValueError,
                           "Expected a dimension of size %zu, got %zu",
                           ctx->head->field->type->arraysize[0], ctx->enc_count);
              return -1;
          }
      }
      if (!ctx->is_valid_array) {
        PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                     ctx->head->field->type->ndim, ndim);
        return -1;
      }
      for (i = 0; i < ctx->head->field->type->ndim; i++) {
        arraysize *= ctx->head->field->type->arraysize[i];
      }
      ctx->is_valid_array = 0;
      ctx->enc_count = 1;
    }
    group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
    do {
      __Pyx_StructField* field = ctx->head->field;
      __Pyx_TypeInfo* type = field->type;
      if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
        size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
      } else {
        size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
      }
      if (ctx->enc_packmode == '@') {
        size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
        size_t align_mod_offset;
        if (align_at == 0) return -1;
        align_mod_offset = ctx->fmt_offset % align_at;
        if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
        if (ctx->struct_alignment == 0)
            ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                   ctx->is_complex);
      }
      if (type->size != size || type->typegroup != group) {
        if (type->typegroup == 'C' && type->fields != NULL) {
          size_t parent_offset = ctx->head->parent_offset + field->offset;
          ++ctx->head;
          ctx->head->field = type->fields;
          ctx->head->parent_offset = parent_offset;
          continue;
        }
        if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
        } else {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return -1;
        }
      }
      offset = ctx->head->parent_offset + field->offset;
      if (ctx->fmt_offset != offset) {
        PyErr_Format(PyExc_ValueError,
                     "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                     (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
        return -1;
      }
      ctx->fmt_offset += size;
      if (arraysize)
        ctx->fmt_offset += (arraysize - 1) * size;
      --ctx->enc_count;
      while (1) {
        if (field == &ctx->root) {
          ctx->head = NULL;
          if (ctx->enc_count != 0) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return -1;
          }
          break;
        }
        ctx->head->field = ++field;
        if (field->type == NULL) {
          --ctx->head;
          field = ctx->head->field;
          continue;
        } else if (field->type->typegroup == 'S') {
          size_t parent_offset = ctx->head->parent_offset + field->offset;
          if (field->type->fields->type == NULL) continue;
          field = field->type->fields;
          ++ctx->head;
          ctx->head->field = field;
          ctx->head->parent_offset = parent_offset;
          break;
        } else {
          break;
        }
      }
    } while (ctx->enc_count);
    ctx->enc_type = 0;
    ctx->is_complex = 0;
    return 0;
  }
  static CYTHON_INLINE PyObject *
  __pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
  {
      const char *ts = *tsp;
      int i = 0, number;
      int ndim = ctx->head->field->type->ndim;
  ;
      ++ts;
      if (ctx->new_count != 1) {
          PyErr_SetString(PyExc_ValueError,
                          "Cannot handle repeated arrays in format string");
          return NULL;
      }
      if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
      while (*ts && *ts != ')') {
          switch (*ts) {
              case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
              default:  break;
          }
          number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
              return PyErr_Format(PyExc_ValueError,
                          "Expected a dimension of size %zu, got %d",
                          ctx->head->field->type->arraysize[i], number);
          if (*ts != ',' && *ts != ')')
              return PyErr_Format(PyExc_ValueError,
                                  "Expected a comma in format string, got '%c'", *ts);
          if (*ts == ',') ts++;
          i++;
      }
      if (i != ndim)
          return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                              ctx->head->field->type->ndim, i);
      if (!*ts) {
          PyErr_SetString(PyExc_ValueError,
                          "Unexpected end of format string, expected ')'");
          return NULL;
      }
      ctx->is_valid_array = 1;
      ctx->new_count = 1;
      *tsp = ++ts;
      return Py_None;
  }
  static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
    int got_Z = 0;
    while (1) {
      switch(*ts) {
        case 0:
          if (ctx->enc_type != 0 && ctx->head == NULL) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          if (ctx->head != NULL) {
            __Pyx_BufFmt_RaiseExpected(ctx);
            return NULL;
          }
          return ts;
        case ' ':
        case '\r':
        case '\n':
          ++ts;
          break;
        case '<':
          if (!__Pyx_IsLittleEndian()) {
            PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
            return NULL;
          }
          ctx->new_packmode = '=';
          ++ts;
          break;
        case '>':
        case '!':
          if (__Pyx_IsLittleEndian()) {
            PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
            return NULL;
          }
          ctx->new_packmode = '=';
          ++ts;
          break;
        case '=':
        case '@':
        case '^':
          ctx->new_packmode = *ts++;
          break;
        case 'T':
          {
            const char* ts_after_sub;
            size_t i, struct_count = ctx->new_count;
            size_t struct_alignment = ctx->struct_alignment;
            ctx->new_count = 1;
            ++ts;
            if (*ts != '{') {
              PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
              return NULL;
            }
            if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
            ctx->enc_type = 0;
            ctx->enc_count = 0;
            ctx->struct_alignment = 0;
            ++ts;
            ts_after_sub = ts;
            for (i = 0; i != struct_count; ++i) {
              ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
              if (!ts_after_sub) return NULL;
            }
            ts = ts_after_sub;
            if (struct_alignment) ctx->struct_alignment = struct_alignment;
          }
          break;
        case '}':
          {
            size_t alignment = ctx->struct_alignment;
            ++ts;
            if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
            ctx->enc_type = 0;
            if (alignment && ctx->fmt_offset % alignment) {
              ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
            }
          }
          return ts;
        case 'x':
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->fmt_offset += ctx->new_count;
          ctx->new_count = 1;
          ctx->enc_count = 0;
          ctx->enc_type = 0;
          ctx->enc_packmode = ctx->new_packmode;
          ++ts;
          break;
        case 'Z':
          got_Z = 1;
          ++ts;
          if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
            __Pyx_BufFmt_RaiseUnexpectedChar('Z');
            return NULL;
          }
        case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
        case 'l': case 'L': case 'q': case 'Q':
        case 'f': case 'd': case 'g':
        case 'O': case 'p':
          if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
              ctx->enc_packmode == ctx->new_packmode) {
            ctx->enc_count += ctx->new_count;
            ctx->new_count = 1;
            got_Z = 0;
            ++ts;
            break;
          }
        case 's':
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_packmode = ctx->new_packmode;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
          ++ts;
          ctx->new_count = 1;
          got_Z = 0;
          break;
        case ':':
          ++ts;
          while(*ts != ':') ++ts;
          ++ts;
          break;
        case '(':
          if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
          break;
        default:
          {
            int number = __Pyx_BufFmt_ExpectNumber(&ts);
            if (number == -1) return NULL;
            ctx->new_count = (size_t)number;
          }
      }
    }
  }
  static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
    buf->buf = NULL;
    buf->obj = NULL;
    buf->strides = __Pyx_zeros;
    buf->shape = __Pyx_zeros;
    buf->suboffsets = __Pyx_minusones;
  }
  static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
          Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
          int nd, int cast, __Pyx_BufFmt_StackElem* stack)
  {
    if (obj == Py_None || obj == NULL) {
      __Pyx_ZeroBuffer(buf);
      return 0;
    }
    buf->buf = NULL;
    if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
    if (buf->ndim != nd) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer has wrong number of dimensions (expected %d, got %d)",
                   nd, buf->ndim);
      goto fail;
    }
    if (!cast) {
      __Pyx_BufFmt_Context ctx;
      __Pyx_BufFmt_Init(&ctx, stack, dtype);
      if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
    }
    if ((unsigned)buf->itemsize != dtype->size) {
      PyErr_Format(PyExc_ValueError,
        "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
        buf->itemsize, (buf->itemsize > 1) ? "s" : "",
        dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
      goto fail;
    }
    if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
    return 0;
  fail:;
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
    if (info->buf == NULL) return;
    if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
    __Pyx_ReleaseBuffer(info);
  }
  
  static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_COMPILING_IN_CPYTHON
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      PyThreadState *tstate = PyThreadState_GET();
      tmp_type = tstate->curexc_type;
      tmp_value = tstate->curexc_value;
      tmp_tb = tstate->curexc_traceback;
      tstate->curexc_type = type;
      tstate->curexc_value = value;
      tstate->curexc_traceback = tb;
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  #else
      PyErr_Restore(type, value, tb);
  #endif
  }
  static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_COMPILING_IN_CPYTHON
      PyThreadState *tstate = PyThreadState_GET();
      *type = tstate->curexc_type;
      *value = tstate->curexc_value;
      *tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  #else
      PyErr_Fetch(type, value, tb);
  #endif
  }
  
  static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
      PyObject *result;
  #if CYTHON_COMPILING_IN_CPYTHON
      result = PyDict_GetItem(__pyx_d, name);
      if (likely(result)) {
          Py_INCREF(result);
      } else {
  #else
      result = PyObject_GetItem(__pyx_d, name);
      if (!result) {
          PyErr_Clear();
  #endif
          result = __Pyx_GetBuiltinName(name);
      }
      return result;
  }
  
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
      PyObject *result;
      ternaryfunc call = func->ob_type->tp_call;
      if (unlikely(!call))
          return PyObject_Call(func, arg, kw);
      if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
          return NULL;
      result = (*call)(func, arg, kw);
      Py_LeaveRecursiveCall();
      if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
          PyErr_SetString(
              PyExc_SystemError,
              "NULL result without error in PyObject_Call");
      }
      return result;
  }
  #endif
  
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
      if (unlikely(!type)) {
          PyErr_SetString(PyExc_SystemError, "Missing type object");
          return 0;
      }
      if (likely(PyObject_TypeCheck(obj, type)))
          return 1;
      PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                   Py_TYPE(obj)->tp_name, type->tp_name);
      return 0;
  }
  
  #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 (PyType_Check(type)) {
  #if CYTHON_COMPILING_IN_PYPY
          if (!value) {
              Py_INCREF(Py_None);
              value = Py_None;
          }
  #endif
          PyErr_NormalizeException(&type, &value, &tb);
      } else {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto raise_error;
          }
          value = type;
          type = (PyObject*) Py_TYPE(type);
          Py_INCREF(type);
          if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
              PyErr_SetString(PyExc_TypeError,
                  "raise: exception class must be a subclass of BaseException");
              goto raise_error;
          }
      }
      __Pyx_ErrRestore(type, value, tb);
      return;
  raise_error:
      Py_XDECREF(value);
      Py_XDECREF(type);
      Py_XDECREF(tb);
      return;
  }
  #else
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
      PyObject* owned_instance = NULL;
      if (tb == Py_None) {
          tb = 0;
      } else if (tb && !PyTraceBack_Check(tb)) {
          PyErr_SetString(PyExc_TypeError,
              "raise: arg 3 must be a traceback or None");
          goto bad;
      }
      if (value == Py_None)
          value = 0;
      if (PyExceptionInstance_Check(type)) {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto bad;
          }
          value = type;
          type = (PyObject*) Py_TYPE(value);
      } else if (PyExceptionClass_Check(type)) {
          PyObject *instance_class = NULL;
          if (value && PyExceptionInstance_Check(value)) {
              instance_class = (PyObject*) Py_TYPE(value);
              if (instance_class != type) {
                  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) {
  #if CYTHON_COMPILING_IN_PYPY
          PyObject *tmp_type, *tmp_value, *tmp_tb;
          PyErr_Fetch(tmp_type, tmp_value, tmp_tb);
          Py_INCREF(tb);
          PyErr_Restore(tmp_type, tmp_value, tb);
          Py_XDECREF(tmp_tb);
  #else
          PyThreadState *tstate = PyThreadState_GET();
          PyObject* tmp_tb = tstate->curexc_traceback;
          if (tb != tmp_tb) {
              Py_INCREF(tb);
              tstate->curexc_traceback = tb;
              Py_XDECREF(tmp_tb);
          }
  #endif
      }
  bad:
      Py_XDECREF(owned_instance);
      return;
  }
  #endif
  
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
      PyErr_Format(PyExc_ValueError,
                   "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
  }
  
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
      PyErr_Format(PyExc_ValueError,
                   "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                   index, (index == 1) ? "" : "s");
  }
  
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
  }
  
  static 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,
          0,
          0,
          0,
          0,
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      py_code = __pyx_find_code_object(c_line ? c_line : py_line);
      if (!py_code) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
      }
      py_frame = PyFrame_New(
          PyThreadState_GET(), /*PyThreadState *tstate,*/
          py_code,             /*PyCodeObject *code,*/
          __pyx_d,      /*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);
  }
  
  #if PY_MAJOR_VERSION < 3
  static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
      if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
          if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
      PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
      return -1;
  }
  static void __Pyx_ReleaseBuffer(Py_buffer *view) {
      PyObject *obj = view->obj;
      if (!obj) return;
      if (PyObject_CheckBuffer(obj)) {
          PyBuffer_Release(view);
          return;
      }
          if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
      Py_DECREF(obj);
      view->obj = NULL;
  }
  #endif
  
  
        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_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;
          }
          #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
          }
      }
  bad:
      #if PY_VERSION_HEX < 0x03030000
      Py_XDECREF(py_import);
      #endif
      Py_XDECREF(empty_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)       \
      {                                                                     \
          func_type value = func_value;                                     \
          if (sizeof(target_type) < sizeof(func_type)) {                    \
              if (unlikely(value != (func_type) (target_type) value)) {     \
                  func_type zero = 0;                                       \
                  if (is_unsigned && unlikely(value < zero))                \
                      goto raise_neg_overflow;                              \
                  else                                                      \
                      goto raise_overflow;                                  \
              }                                                             \
          }                                                                 \
          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(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
   #if CYTHON_USE_PYLONG_INTERNALS
              switch (Py_SIZE(x)) {
                  case  0: return 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int, digit, ((PyLongObject*)x)->ob_digit[0]);
              }
   #endif
  #endif
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
              if (sizeof(int) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT(int, unsigned long, PyLong_AsUnsignedLong(x))
              } else if (sizeof(int) <= sizeof(unsigned long long)) {
                  __PYX_VERIFY_RETURN_INT(int, unsigned long long, PyLong_AsUnsignedLongLong(x))
              }
          } else {
  #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
   #if CYTHON_USE_PYLONG_INTERNALS
              switch (Py_SIZE(x)) {
                  case  0: return 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
              }
   #endif
  #endif
              if (sizeof(int) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT(int, long, PyLong_AsLong(x))
              } else if (sizeof(int) <= sizeof(long long)) {
                  __PYX_VERIFY_RETURN_INT(int, long long, PyLong_AsLongLong(x))
              }
          }
          {
  #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;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
      const int neg_one = (int) -1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(int) <= sizeof(unsigned long long)) {
              return PyLong_FromUnsignedLongLong((unsigned long long) value);
          }
      } else {
          if (sizeof(int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(long long)) {
              return PyLong_FromLongLong((long long) value);
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int),
                                       little, !is_unsigned);
      }
  }
  
  static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *x) {
      const unsigned int neg_one = (unsigned 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(unsigned int) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(unsigned int, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (unsigned 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
              switch (Py_SIZE(x)) {
                  case  0: return 0;
                  case  1: __PYX_VERIFY_RETURN_INT(unsigned int, digit, ((PyLongObject*)x)->ob_digit[0]);
              }
   #endif
  #endif
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
              if (sizeof(unsigned int) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, PyLong_AsUnsignedLong(x))
              } else if (sizeof(unsigned int) <= sizeof(unsigned long long)) {
                  __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long long, PyLong_AsUnsignedLongLong(x))
              }
          } else {
  #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
   #if CYTHON_USE_PYLONG_INTERNALS
              switch (Py_SIZE(x)) {
                  case  0: return 0;
                  case  1: __PYX_VERIFY_RETURN_INT(unsigned int,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                  case -1: __PYX_VERIFY_RETURN_INT(unsigned int, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
              }
   #endif
  #endif
              if (sizeof(unsigned int) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT(unsigned int, long, PyLong_AsLong(x))
              } else if (sizeof(unsigned int) <= sizeof(long long)) {
                  __PYX_VERIFY_RETURN_INT(unsigned int, long long, PyLong_AsLongLong(x))
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              unsigned 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 (unsigned int) -1;
          }
      } else {
          unsigned int val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (unsigned int) -1;
          val = __Pyx_PyInt_As_unsigned_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to unsigned int");
      return (unsigned int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to unsigned int");
      return (unsigned int) -1;
  }
  
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return ::std::complex< float >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return x + y*(__pyx_t_float_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        __pyx_t_float_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
  #if CYTHON_CCOMPLEX
  #else
      static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          float denom = b.real * b.real + b.imag * b.imag;
          z.real = (a.real * b.real + a.imag * b.imag) / denom;
          z.imag = (a.imag * b.real - a.real * b.imag) / denom;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrtf(z.real*z.real + z.imag*z.imag);
            #else
              return hypotf(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
              __pyx_t_float_complex z;
              float r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      float denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          z = __Pyx_c_prodf(a, a);
                          return __Pyx_c_prodf(a, a);
                      case 3:
                          z = __Pyx_c_prodf(a, a);
                          return __Pyx_c_prodf(z, a);
                      case 4:
                          z = __Pyx_c_prodf(a, a);
                          return __Pyx_c_prodf(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  }
                  r = a.real;
                  theta = 0;
              } else {
                  r = __Pyx_c_absf(a);
                  theta = atan2f(a.imag, a.real);
              }
              lnr = logf(r);
              z_r = expf(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cosf(z_theta);
              z.imag = z_r * sinf(z_theta);
              return z;
          }
      #endif
  #endif
  
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return ::std::complex< double >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return x + y*(__pyx_t_double_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        __pyx_t_double_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
  #if CYTHON_CCOMPLEX
  #else
      static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          double denom = b.real * b.real + b.imag * b.imag;
          z.real = (a.real * b.real + a.imag * b.imag) / denom;
          z.imag = (a.imag * b.real - a.real * b.imag) / denom;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrt(z.real*z.real + z.imag*z.imag);
            #else
              return hypot(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
              __pyx_t_double_complex z;
              double r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      double denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          z = __Pyx_c_prod(a, a);
                          return __Pyx_c_prod(a, a);
                      case 3:
                          z = __Pyx_c_prod(a, a);
                          return __Pyx_c_prod(z, a);
                      case 4:
                          z = __Pyx_c_prod(a, a);
                          return __Pyx_c_prod(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  }
                  r = a.real;
                  theta = 0;
              } else {
                  r = __Pyx_c_abs(a);
                  theta = atan2(a.imag, a.real);
              }
              lnr = log(r);
              z_r = exp(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cos(z_theta);
              z.imag = z_r * sin(z_theta);
              return z;
          }
      #endif
  #endif
  
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
      const long neg_one = (long) -1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(long) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
          } else if (sizeof(long) <= sizeof(unsigned long long)) {
              return PyLong_FromUnsignedLongLong((unsigned long long) value);
          }
      } else {
          if (sizeof(long) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(long long)) {
              return PyLong_FromLongLong((long long) value);
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
      }
  }
  
  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(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (long) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
   #if CYTHON_USE_PYLONG_INTERNALS
              switch (Py_SIZE(x)) {
                  case  0: return 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long, digit, ((PyLongObject*)x)->ob_digit[0]);
              }
   #endif
  #endif
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
              if (sizeof(long) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT(long, unsigned long, PyLong_AsUnsignedLong(x))
              } else if (sizeof(long) <= sizeof(unsigned long long)) {
                  __PYX_VERIFY_RETURN_INT(long, unsigned long long, PyLong_AsUnsignedLongLong(x))
              }
          } else {
  #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
   #if CYTHON_USE_PYLONG_INTERNALS
              switch (Py_SIZE(x)) {
                  case  0: return 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
              }
   #endif
  #endif
              if (sizeof(long) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT(long, long, PyLong_AsLong(x))
              } else if (sizeof(long) <= sizeof(long long)) {
                  __PYX_VERIFY_RETURN_INT(long, long long, PyLong_AsLongLong(x))
              }
          }
          {
  #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;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to long");
      return (long) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to long");
      return (long) -1;
  }
  
  static int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          return PyErr_WarnEx(NULL, message, 1);
      }
      return 0;
  }
  
  #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 (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
      }
      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_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          ++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
          *length = PyBytes_GET_SIZE(defenc);
          return defenc_c;
  #else
          if (__Pyx_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
          return PyUnicode_AsUTF8AndSize(o, length);
  #endif
  #endif
      } else
  #endif
  #if !CYTHON_COMPILING_IN_PYPY
      if (PyByteArray_Check(o)) {
          *length = PyByteArray_GET_SIZE(o);
          return PyByteArray_AS_STRING(o);
      } else
  #endif
      {
          char* result;
          int r = PyBytes_AsStringAndSize(o, &result, length);
          if (unlikely(r < 0)) {
              return NULL;
          } else {
              return result;
          }
      }
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
     int is_true = x == Py_True;
     if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
     else return PyObject_IsTrue(x);
  }
  static CYTHON_INLINE 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;
  }
  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
      return PyLong_AsSsize_t(b);
    }
    x = PyNumber_Index(b);
    if (!x) return -1;
    ival = PyInt_AsSsize_t(x);
    Py_DECREF(x);
    return ival;
  }
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
      return PyInt_FromSize_t(ival);
  }
  
  
  #endif /* Py_PYTHON_H */
  