text: /* Generated by Cython 0.17.4 on Sat Jan 12 17:27:40 2013 */
  
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    #define PyInt_FromUnicode            PyLong_FromUnicode
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    #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
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    #define PyBoolObject                 PyLongObject
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    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
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    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
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    #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value)
    #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b)
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    #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \
          (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
          (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \
              (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0)))
    #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \
          (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
          (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
              (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
    #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \
          (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
          (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
              (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
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    #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
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    #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
    #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
    #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),((char *)(n)))
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    #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
    #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),(n))
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    #define __Pyx_NAMESTR(n) ((char *)(n))
    #define __Pyx_DOCSTR(n)  ((char *)(n))
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    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
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    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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  #define __PYX_HAVE_API__nipy__labs__utils__routines
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  #include "numpy/ufuncobject.h"
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  #include "fff_specfun.h"
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  typedef struct {PyObject **p; char *s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/
  
  
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  #define __Pyx_PyBytes_FromUString(s) PyBytes_FromString((char*)s)
  #define __Pyx_PyBytes_AsUString(s)   ((unsigned char*) PyBytes_AsString(s))
  
  #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);
  static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);
  
  #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))
  
  #ifdef __GNUC__
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      #define likely(x)   __builtin_expect(!!(x), 1)
      #define unlikely(x) __builtin_expect(!!(x), 0)
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      #define likely(x)   (x)
      #define unlikely(x) (x)
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    #define unlikely(x) (x)
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  static PyObject *__pyx_empty_tuple;
  static PyObject *__pyx_empty_bytes;
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  static int __pyx_clineno = 0;
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      #include <complex.h>
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    #undef _Complex_I
    #define _Complex_I 1.0fj
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  static const char *__pyx_f[] = {
    "routines.pyx",
    "numpy.pxd",
    "type.pxd",
  };
  
  /* "numpy.pxd":723
   * # in Cython to enable them only on the right systems.
   * 
   * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   */
  typedef npy_int8 __pyx_t_5numpy_int8_t;
  
  /* "numpy.pxd":724
   * 
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t
   */
  typedef npy_int16 __pyx_t_5numpy_int16_t;
  
  /* "numpy.pxd":725
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int64      int64_t
   * #ctypedef npy_int96      int96_t
   */
  typedef npy_int32 __pyx_t_5numpy_int32_t;
  
  /* "numpy.pxd":726
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_int96      int96_t
   * #ctypedef npy_int128     int128_t
   */
  typedef npy_int64 __pyx_t_5numpy_int64_t;
  
  /* "numpy.pxd":730
   * #ctypedef npy_int128     int128_t
   * 
   * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   */
  typedef npy_uint8 __pyx_t_5numpy_uint8_t;
  
  /* "numpy.pxd":731
   * 
   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t
   */
  typedef npy_uint16 __pyx_t_5numpy_uint16_t;
  
  /* "numpy.pxd":732
   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint64     uint64_t
   * #ctypedef npy_uint96     uint96_t
   */
  typedef npy_uint32 __pyx_t_5numpy_uint32_t;
  
  /* "numpy.pxd":733
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_uint96     uint96_t
   * #ctypedef npy_uint128    uint128_t
   */
  typedef npy_uint64 __pyx_t_5numpy_uint64_t;
  
  /* "numpy.pxd":737
   * #ctypedef npy_uint128    uint128_t
   * 
   * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_float64    float64_t
   * #ctypedef npy_float80    float80_t
   */
  typedef npy_float32 __pyx_t_5numpy_float32_t;
  
  /* "numpy.pxd":738
   * 
   * ctypedef npy_float32    float32_t
   * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_float80    float80_t
   * #ctypedef npy_float128   float128_t
   */
  typedef npy_float64 __pyx_t_5numpy_float64_t;
  
  /* "numpy.pxd":747
   * # The int types are mapped a bit surprising --
   * # numpy.int corresponds to 'l' and numpy.long to 'q'
   * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   long_t
   * ctypedef npy_longlong   longlong_t
   */
  typedef npy_long __pyx_t_5numpy_int_t;
  
  /* "numpy.pxd":748
   * # numpy.int corresponds to 'l' and numpy.long to 'q'
   * ctypedef npy_long       int_t
   * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   longlong_t
   * 
   */
  typedef npy_longlong __pyx_t_5numpy_long_t;
  
  /* "numpy.pxd":749
   * ctypedef npy_long       int_t
   * ctypedef npy_longlong   long_t
   * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_ulong      uint_t
   */
  typedef npy_longlong __pyx_t_5numpy_longlong_t;
  
  /* "numpy.pxd":751
   * ctypedef npy_longlong   longlong_t
   * 
   * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
   * ctypedef npy_ulonglong  ulong_t
   * ctypedef npy_ulonglong  ulonglong_t
   */
  typedef npy_ulong __pyx_t_5numpy_uint_t;
  
  /* "numpy.pxd":752
   * 
   * ctypedef npy_ulong      uint_t
   * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
   * ctypedef npy_ulonglong  ulonglong_t
   * 
   */
  typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
  
  /* "numpy.pxd":753
   * ctypedef npy_ulong      uint_t
   * ctypedef npy_ulonglong  ulong_t
   * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_intp       intp_t
   */
  typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
  
  /* "numpy.pxd":755
   * ctypedef npy_ulonglong  ulonglong_t
   * 
   * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uintp      uintp_t
   * 
   */
  typedef npy_intp __pyx_t_5numpy_intp_t;
  
  /* "numpy.pxd":756
   * 
   * ctypedef npy_intp       intp_t
   * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
   * 
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   *     fff_array_delete(iwork)
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   *     fff_array_delete(iwork)
   *     fff_matrix_delete(Aux)
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      tstate->curexc_value = value;
      tstate->curexc_traceback = tb;
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  #else
      PyErr_Restore(type, value, tb);
  #endif
  }
  static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_COMPILING_IN_CPYTHON
      PyThreadState *tstate = PyThreadState_GET();
      *type = tstate->curexc_type;
      *value = tstate->curexc_value;
      *tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  #else
      PyErr_Fetch(type, value, tb);
  #endif
  }
  
  #if PY_MAJOR_VERSION < 3
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                          CYTHON_UNUSED PyObject *cause) {
      Py_XINCREF(type);
      if (!value || value == Py_None)
          value = NULL;
      else
          Py_INCREF(value);
      if (!tb || tb == Py_None)
          tb = NULL;
      else {
          Py_INCREF(tb);
          if (!PyTraceBack_Check(tb)) {
              PyErr_SetString(PyExc_TypeError,
                  "raise: arg 3 must be a traceback or None");
              goto raise_error;
          }
      }
      #if PY_VERSION_HEX < 0x02050000
      if (PyClass_Check(type)) {
      #else
      if (PyType_Check(type)) {
      #endif
  #if CYTHON_COMPILING_IN_PYPY
          if (!value) {
              Py_INCREF(Py_None);
              value = Py_None;
          }
  #endif
          PyErr_NormalizeException(&type, &value, &tb);
      } else {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto raise_error;
          }
          value = type;
          #if PY_VERSION_HEX < 0x02050000
              if (PyInstance_Check(type)) {
                  type = (PyObject*) ((PyInstanceObject*)type)->in_class;
                  Py_INCREF(type);
              }
              else {
                  type = 0;
                  PyErr_SetString(PyExc_TypeError,
                      "raise: exception must be an old-style class or instance");
                  goto raise_error;
              }
          #else
              type = (PyObject*) Py_TYPE(type);
              Py_INCREF(type);
              if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
                  PyErr_SetString(PyExc_TypeError,
                      "raise: exception class must be a subclass of BaseException");
                  goto raise_error;
              }
          #endif
      }
      __Pyx_ErrRestore(type, value, tb);
      return;
  raise_error:
      Py_XDECREF(value);
      Py_XDECREF(type);
      Py_XDECREF(tb);
      return;
  }
  #else /* Python 3+ */
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
      PyObject* owned_instance = NULL;
      if (tb == Py_None) {
          tb = 0;
      } else if (tb && !PyTraceBack_Check(tb)) {
          PyErr_SetString(PyExc_TypeError,
              "raise: arg 3 must be a traceback or None");
          goto bad;
      }
      if (value == Py_None)
          value = 0;
      if (PyExceptionInstance_Check(type)) {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto bad;
          }
          value = type;
          type = (PyObject*) Py_TYPE(value);
      } else if (PyExceptionClass_Check(type)) {
          PyObject *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 = PyEval_CallObject(type, args);
          Py_DECREF(args);
          if (!owned_instance)
              goto bad;
          value = owned_instance;
          if (!PyExceptionInstance_Check(value)) {
              PyErr_Format(PyExc_TypeError,
                           "calling %R should have returned an instance of "
                           "BaseException, not %R",
                           type, Py_TYPE(value));
              goto bad;
          }
      } else {
          PyErr_SetString(PyExc_TypeError,
              "raise: exception class must be a subclass of BaseException");
          goto bad;
      }
      if (cause && cause != Py_None) {
          PyObject *fixed_cause;
          if (PyExceptionClass_Check(cause)) {
              fixed_cause = PyObject_CallObject(cause, NULL);
              if (fixed_cause == NULL)
                  goto bad;
          }
          else if (PyExceptionInstance_Check(cause)) {
              fixed_cause = cause;
              Py_INCREF(fixed_cause);
          }
          else {
              PyErr_SetString(PyExc_TypeError,
                              "exception causes must derive from "
                              "BaseException");
              goto bad;
          }
          PyException_SetCause(value, fixed_cause);
      }
      PyErr_SetObject(type, value);
      if (tb) {
          PyThreadState *tstate = PyThreadState_GET();
          PyObject* tmp_tb = tstate->curexc_traceback;
          if (tb != tmp_tb) {
              Py_INCREF(tb);
              tstate->curexc_traceback = tb;
              Py_XDECREF(tmp_tb);
          }
      }
  bad:
      Py_XDECREF(owned_instance);
      return;
  }
  #endif
  
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
      PyErr_Format(PyExc_ValueError,
                   "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
  }
  
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
      PyErr_Format(PyExc_ValueError,
                   "need more than %" CYTHON_FORMAT_SSIZE_T "d value%s to unpack",
                   index, (index == 1) ? "" : "s");
  }
  
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
  }
  
  static CYTHON_INLINE int __Pyx_IterFinish(void) {
  #if CYTHON_COMPILING_IN_CPYTHON
      PyThreadState *tstate = PyThreadState_GET();
      PyObject* exc_type = tstate->curexc_type;
      if (unlikely(exc_type)) {
          if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
              PyObject *exc_value, *exc_tb;
              exc_value = tstate->curexc_value;
              exc_tb = tstate->curexc_traceback;
              tstate->curexc_type = 0;
              tstate->curexc_value = 0;
              tstate->curexc_traceback = 0;
              Py_DECREF(exc_type);
              Py_XDECREF(exc_value);
              Py_XDECREF(exc_tb);
              return 0;
          } else {
              return -1;
          }
      }
      return 0;
  #else
      if (unlikely(PyErr_Occurred())) {
          if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
              PyErr_Clear();
              return 0;
          } else {
              return -1;
          }
      }
      return 0;
  #endif
  }
  
  static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
      if (unlikely(retval)) {
          Py_DECREF(retval);
          __Pyx_RaiseTooManyValuesError(expected);
          return -1;
      } else {
          return __Pyx_IterFinish();
      }
      return 0;
  }
  
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
      if (unlikely(!type)) {
          PyErr_Format(PyExc_SystemError, "Missing type object");
          return 0;
      }
      if (likely(PyObject_TypeCheck(obj, type)))
          return 1;
      PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                   Py_TYPE(obj)->tp_name, type->tp_name);
      return 0;
  }
  
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, long level) {
      PyObject *py_import = 0;
      PyObject *empty_list = 0;
      PyObject *module = 0;
      PyObject *global_dict = 0;
      PyObject *empty_dict = 0;
      PyObject *list;
      py_import = __Pyx_GetAttrString(__pyx_b, "__import__");
      if (!py_import)
          goto bad;
      if (from_list)
          list = from_list;
      else {
          empty_list = PyList_New(0);
          if (!empty_list)
              goto bad;
          list = empty_list;
      }
      global_dict = PyModule_GetDict(__pyx_m);
      if (!global_dict)
          goto bad;
      empty_dict = PyDict_New();
      if (!empty_dict)
          goto bad;
      #if PY_VERSION_HEX >= 0x02050000
      {
          #if PY_MAJOR_VERSION >= 3
          if (level == -1) {
              if (strchr(__Pyx_MODULE_NAME, '.')) {
                  /* try package relative import first */
                  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);
                  if (!module) {
                      if (!PyErr_ExceptionMatches(PyExc_ImportError))
                          goto bad;
                      PyErr_Clear();
                  }
              }
              level = 0; /* try absolute import on failure */
          }
          #endif
          if (!module) {
              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
      if (level>0) {
          PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
          goto bad;
      }
      module = PyObject_CallFunctionObjArgs(py_import,
          name, global_dict, empty_dict, list, NULL);
      #endif
  bad:
      Py_XDECREF(empty_list);
      Py_XDECREF(py_import);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  #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 unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
      const unsigned char neg_one = (unsigned char)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(unsigned char) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(unsigned char)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to unsigned char" :
                      "value too large to convert to unsigned char");
              }
              return (unsigned char)-1;
          }
          return (unsigned char)val;
      }
      return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
  }
  
  static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
      const unsigned short neg_one = (unsigned short)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(unsigned short) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(unsigned short)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to unsigned short" :
                      "value too large to convert to unsigned short");
              }
              return (unsigned short)-1;
          }
          return (unsigned short)val;
      }
      return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
  }
  
  static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
      const unsigned int neg_one = (unsigned int)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(unsigned int) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(unsigned int)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to unsigned int" :
                      "value too large to convert to unsigned int");
              }
              return (unsigned int)-1;
          }
          return (unsigned int)val;
      }
      return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
  }
  
  static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
      const char neg_one = (char)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(char) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(char)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to char" :
                      "value too large to convert to char");
              }
              return (char)-1;
          }
          return (char)val;
      }
      return (char)__Pyx_PyInt_AsLong(x);
  }
  
  static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
      const short neg_one = (short)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(short) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(short)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to short" :
                      "value too large to convert to short");
              }
              return (short)-1;
          }
          return (short)val;
      }
      return (short)__Pyx_PyInt_AsLong(x);
  }
  
  static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
      const int neg_one = (int)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(int) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(int)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to int" :
                      "value too large to convert to int");
              }
              return (int)-1;
          }
          return (int)val;
      }
      return (int)__Pyx_PyInt_AsLong(x);
  }
  
  static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
      const signed char neg_one = (signed char)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(signed char) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(signed char)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to signed char" :
                      "value too large to convert to signed char");
              }
              return (signed char)-1;
          }
          return (signed char)val;
      }
      return (signed char)__Pyx_PyInt_AsSignedLong(x);
  }
  
  static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
      const signed short neg_one = (signed short)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(signed short) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(signed short)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to signed short" :
                      "value too large to convert to signed short");
              }
              return (signed short)-1;
          }
          return (signed short)val;
      }
      return (signed short)__Pyx_PyInt_AsSignedLong(x);
  }
  
  static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
      const signed int neg_one = (signed int)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(signed int) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(signed int)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to signed int" :
                      "value too large to convert to signed int");
              }
              return (signed int)-1;
          }
          return (signed int)val;
      }
      return (signed int)__Pyx_PyInt_AsSignedLong(x);
  }
  
  static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject* x) {
      const int neg_one = (int)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
      if (sizeof(int) < sizeof(long)) {
          long val = __Pyx_PyInt_AsLong(x);
          if (unlikely(val != (long)(int)val)) {
              if (!unlikely(val == -1 && PyErr_Occurred())) {
                  PyErr_SetString(PyExc_OverflowError,
                      (is_unsigned && unlikely(val < 0)) ?
                      "can't convert negative value to int" :
                      "value too large to convert to int");
              }
              return (int)-1;
          }
          return (int)val;
      }
      return (int)__Pyx_PyInt_AsLong(x);
  }
  
  static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
      const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_VERSION_HEX < 0x03000000
      if (likely(PyInt_Check(x))) {
          long val = PyInt_AS_LONG(x);
          if (is_unsigned && unlikely(val < 0)) {
              PyErr_SetString(PyExc_OverflowError,
                              "can't convert negative value to unsigned long");
              return (unsigned long)-1;
          }
          return (unsigned long)val;
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
              if (unlikely(Py_SIZE(x) < 0)) {
                  PyErr_SetString(PyExc_OverflowError,
                                  "can't convert negative value to unsigned long");
                  return (unsigned long)-1;
              }
              return (unsigned long)PyLong_AsUnsignedLong(x);
          } else {
              return (unsigned long)PyLong_AsLong(x);
          }
      } else {
          unsigned long val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (unsigned long)-1;
          val = __Pyx_PyInt_AsUnsignedLong(tmp);
          Py_DECREF(tmp);
          return val;
      }
  }
  
  static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
      const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_VERSION_HEX < 0x03000000
      if (likely(PyInt_Check(x))) {
          long val = PyInt_AS_LONG(x);
          if (is_unsigned && unlikely(val < 0)) {
              PyErr_SetString(PyExc_OverflowError,
                              "can't convert negative value to unsigned PY_LONG_LONG");
              return (unsigned PY_LONG_LONG)-1;
          }
          return (unsigned PY_LONG_LONG)val;
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
              if (unlikely(Py_SIZE(x) < 0)) {
                  PyErr_SetString(PyExc_OverflowError,
                                  "can't convert negative value to unsigned PY_LONG_LONG");
                  return (unsigned PY_LONG_LONG)-1;
              }
              return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
          } else {
              return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
          }
      } else {
          unsigned PY_LONG_LONG val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (unsigned PY_LONG_LONG)-1;
          val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
          Py_DECREF(tmp);
          return val;
      }
  }
  
  static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
      const long neg_one = (long)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_VERSION_HEX < 0x03000000
      if (likely(PyInt_Check(x))) {
          long val = PyInt_AS_LONG(x);
          if (is_unsigned && unlikely(val < 0)) {
              PyErr_SetString(PyExc_OverflowError,
                              "can't convert negative value to long");
              return (long)-1;
          }
          return (long)val;
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
              if (unlikely(Py_SIZE(x) < 0)) {
                  PyErr_SetString(PyExc_OverflowError,
                                  "can't convert negative value to long");
                  return (long)-1;
              }
              return (long)PyLong_AsUnsignedLong(x);
          } else {
              return (long)PyLong_AsLong(x);
          }
      } else {
          long val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (long)-1;
          val = __Pyx_PyInt_AsLong(tmp);
          Py_DECREF(tmp);
          return val;
      }
  }
  
  static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
      const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_VERSION_HEX < 0x03000000
      if (likely(PyInt_Check(x))) {
          long val = PyInt_AS_LONG(x);
          if (is_unsigned && unlikely(val < 0)) {
              PyErr_SetString(PyExc_OverflowError,
                              "can't convert negative value to PY_LONG_LONG");
              return (PY_LONG_LONG)-1;
          }
          return (PY_LONG_LONG)val;
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
              if (unlikely(Py_SIZE(x) < 0)) {
                  PyErr_SetString(PyExc_OverflowError,
                                  "can't convert negative value to PY_LONG_LONG");
                  return (PY_LONG_LONG)-1;
              }
              return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
          } else {
              return (PY_LONG_LONG)PyLong_AsLongLong(x);
          }
      } else {
          PY_LONG_LONG val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (PY_LONG_LONG)-1;
          val = __Pyx_PyInt_AsLongLong(tmp);
          Py_DECREF(tmp);
          return val;
      }
  }
  
  static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
      const signed long neg_one = (signed long)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_VERSION_HEX < 0x03000000
      if (likely(PyInt_Check(x))) {
          long val = PyInt_AS_LONG(x);
          if (is_unsigned && unlikely(val < 0)) {
              PyErr_SetString(PyExc_OverflowError,
                              "can't convert negative value to signed long");
              return (signed long)-1;
          }
          return (signed long)val;
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
              if (unlikely(Py_SIZE(x) < 0)) {
                  PyErr_SetString(PyExc_OverflowError,
                                  "can't convert negative value to signed long");
                  return (signed long)-1;
              }
              return (signed long)PyLong_AsUnsignedLong(x);
          } else {
              return (signed long)PyLong_AsLong(x);
          }
      } else {
          signed long val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (signed long)-1;
          val = __Pyx_PyInt_AsSignedLong(tmp);
          Py_DECREF(tmp);
          return val;
      }
  }
  
  static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
      const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_VERSION_HEX < 0x03000000
      if (likely(PyInt_Check(x))) {
          long val = PyInt_AS_LONG(x);
          if (is_unsigned && unlikely(val < 0)) {
              PyErr_SetString(PyExc_OverflowError,
                              "can't convert negative value to signed PY_LONG_LONG");
              return (signed PY_LONG_LONG)-1;
          }
          return (signed PY_LONG_LONG)val;
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
              if (unlikely(Py_SIZE(x) < 0)) {
                  PyErr_SetString(PyExc_OverflowError,
                                  "can't convert negative value to signed PY_LONG_LONG");
                  return (signed PY_LONG_LONG)-1;
              }
              return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
          } else {
              return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
          }
      } else {
          signed PY_LONG_LONG val;
          PyObject *tmp = __Pyx_PyNumber_Int(x);
          if (!tmp) return (signed PY_LONG_LONG)-1;
          val = __Pyx_PyInt_AsSignedLongLong(tmp);
          Py_DECREF(tmp);
          return val;
      }
  }
  
  static int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          #if PY_VERSION_HEX < 0x02050000
          return PyErr_Warn(NULL, message);
          #else
          return PyErr_WarnEx(NULL, message, 1);
          #endif
      }
      return 0;
  }
  
  #ifndef __PYX_HAVE_RT_ImportModule
  #define __PYX_HAVE_RT_ImportModule
  static PyObject *__Pyx_ImportModule(const char *name) {
      PyObject *py_name = 0;
      PyObject *py_module = 0;
      py_name = __Pyx_PyIdentifier_FromString(name);
      if (!py_name)
          goto bad;
      py_module = PyImport_Import(py_name);
      Py_DECREF(py_name);
      return py_module;
  bad:
      Py_XDECREF(py_name);
      return 0;
  }
  #endif
  
  #ifndef __PYX_HAVE_RT_ImportType
  #define __PYX_HAVE_RT_ImportType
  static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
      size_t size, int strict)
  {
      PyObject *py_module = 0;
      PyObject *result = 0;
      PyObject *py_name = 0;
      char warning[200];
      py_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,
              "%s.%s is not a type object",
              module_name, class_name);
          goto bad;
      }
      if (!strict && (size_t)((PyTypeObject *)result)->tp_basicsize > size) {
          PyOS_snprintf(warning, sizeof(warning),
              "%s.%s size changed, may indicate binary incompatibility",
              module_name, class_name);
          #if PY_VERSION_HEX < 0x02050000
          if (PyErr_Warn(NULL, warning) < 0) goto bad;
          #else
          if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
          #endif
      }
      else if ((size_t)((PyTypeObject *)result)->tp_basicsize != size) {
          PyErr_Format(PyExc_ValueError,
              "%s.%s has the wrong size, try recompiling",
              module_name, class_name);
          goto bad;
      }
      return (PyTypeObject *)result;
  bad:
      Py_XDECREF(py_module);
      Py_XDECREF(result);
      return NULL;
  }
  #endif
  
  static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
      int start = 0, mid = 0, end = count - 1;
      if (end >= 0 && code_line > entries[end].code_line) {
          return count;
      }
      while (start < end) {
          mid = (start + end) / 2;
          if (code_line < entries[mid].code_line) {
              end = mid;
          } else if (code_line > entries[mid].code_line) {
               start = mid + 1;
          } else {
              return mid;
          }
      }
      if (code_line <= entries[mid].code_line) {
          return mid;
      } else {
          return mid + 1;
      }
  }
  static PyCodeObject *__pyx_find_code_object(int code_line) {
      PyCodeObject* code_object;
      int pos;
      if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
          return NULL;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
          return NULL;
      }
      code_object = __pyx_code_cache.entries[pos].code_object;
      Py_INCREF(code_object);
      return code_object;
  }
  static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
      int pos, i;
      __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
      if (unlikely(!code_line)) {
          return;
      }
      if (unlikely(!entries)) {
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
          if (likely(entries)) {
              __pyx_code_cache.entries = entries;
              __pyx_code_cache.max_count = 64;
              __pyx_code_cache.count = 1;
              entries[0].code_line = code_line;
              entries[0].code_object = code_object;
              Py_INCREF(code_object);
          }
          return;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
          PyCodeObject* tmp = entries[pos].code_object;
          entries[pos].code_object = code_object;
          Py_DECREF(tmp);
          return;
      }
      if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
          int new_max = __pyx_code_cache.max_count + 64;
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
              __pyx_code_cache.entries, new_max*sizeof(__Pyx_CodeObjectCacheEntry));
          if (unlikely(!entries)) {
              return;
          }
          __pyx_code_cache.entries = entries;
          __pyx_code_cache.max_count = new_max;
      }
      for (i=__pyx_code_cache.count; i>pos; i--) {
          entries[i] = entries[i-1];
      }
      entries[pos].code_line = code_line;
      entries[pos].code_object = code_object;
      __pyx_code_cache.count++;
      Py_INCREF(code_object);
  }
  
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
              const char *funcname, int c_line,
              int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyObject *py_srcfile = 0;
      PyObject *py_funcname = 0;
      #if PY_MAJOR_VERSION < 3
      py_srcfile = PyString_FromString(filename);
      #else
      py_srcfile = PyUnicode_FromString(filename);
      #endif
      if (!py_srcfile) goto bad;
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          #else
          py_funcname = PyUnicode_FromString(funcname);
          #endif
      }
      if (!py_funcname) goto bad;
      py_code = __Pyx_PyCode_New(
          0,            /*int argcount,*/
          0,            /*int kwonlyargcount,*/
          0,            /*int nlocals,*/
          0,            /*int stacksize,*/
          0,            /*int flags,*/
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,      /*int firstlineno,*/
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyObject *py_globals = 0;
      PyFrameObject *py_frame = 0;
      py_code = __pyx_find_code_object(c_line ? c_line : py_line);
      if (!py_code) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
      }
      py_globals = PyModule_GetDict(__pyx_m);
      if (!py_globals) goto bad;
      py_frame = PyFrame_New(
          PyThreadState_GET(), /*PyThreadState *tstate,*/
          py_code,             /*PyCodeObject *code,*/
          py_globals,          /*PyObject *globals,*/
          0                    /*PyObject *locals*/
      );
      if (!py_frame) goto bad;
      py_frame->f_lineno = py_line;
      PyTraceBack_Here(py_frame);
  bad:
      Py_XDECREF(py_code);
      Py_XDECREF(py_frame);
  }
  
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else  /* Python 3+ has unicode identifiers */
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          ++t;
      }
      return 0;
  }
  
  
  /* Type Conversion Functions */
  
  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_VERSION_HEX < 0x03000000
    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_VERSION_HEX < 0x03000000
    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_VERSION_HEX < 0x03000000
      if (!PyInt_Check(res) && !PyLong_Check(res)) {
  #else
      if (!PyLong_Check(res)) {
  #endif
        PyErr_Format(PyExc_TypeError,
                     "__%s__ returned non-%s (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 = PyNumber_Index(b);
    if (!x) return -1;
    ival = PyInt_AsSsize_t(x);
    Py_DECREF(x);
    return ival;
  }
  
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
  #if PY_VERSION_HEX < 0x02050000
     if (ival <= LONG_MAX)
         return PyInt_FromLong((long)ival);
     else {
         unsigned char *bytes = (unsigned char *) &ival;
         int one = 1; int little = (int)*(unsigned char*)&one;
         return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
     }
  #else
     return PyInt_FromSize_t(ival);
  #endif
  }
  
  static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
     unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
     if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
         return (size_t)-1;
     } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
         PyErr_SetString(PyExc_OverflowError,
                         "value too large to convert to size_t");
         return (size_t)-1;
     }
     return (size_t)val;
  }
  
  
  #endif /* Py_PYTHON_H */
  