WaveTools.cpp

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/* Generated by Cython 0.29.30 */
 
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#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
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    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
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#ifndef __cplusplus
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#ifndef CYTHON_INLINE
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template<typename T>
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template<typename T>
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  private:
    T *ptr;
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#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
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          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyClass_Type
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    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
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        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        if (!(kwds=PyDict_New())) goto end;
        if (!(argcount=PyLong_FromLong(a))) goto end;
        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
        if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
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        if (!(stacksize=PyLong_FromLong(s))) goto end;
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        if (!(flags=PyLong_FromLong(f))) goto end;
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        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
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        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
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        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
        Py_XDECREF((PyObject*)co);
        co = (PyCodeObject*)call_result;
        call_result = NULL;
        if (0) {
            cleanup_code_too:
            Py_XDECREF((PyObject*)co);
            co = NULL;
        }
        end:
        Py_XDECREF(kwds);
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        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return co;
    }
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#if CYTHON_FAST_PYCCALL
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  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
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  #define __Pyx_PyThreadState_Current _PyThreadState_Current
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#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
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static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
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}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
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static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
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static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
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static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
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}
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#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
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#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
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#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #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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#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
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#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
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#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
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                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #else
  #define __Pyx_PyUnicode_READY(op)       (0)
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #endif
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_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   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif
 
#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif
 
#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
 
#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif
 
#define __PYX_HAVE__WaveTools
#define __PYX_HAVE_API__WaveTools
/* Early includes */
#include <math.h>
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"
 
    /* NumPy API declarations from "numpy/__init__.pxd" */
    
#include "WaveTools.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */
 
#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif
 
typedef struct {PyObject **p; const 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_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#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 int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const 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_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const 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)
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);
}
#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_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#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
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(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) + 1);
    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 CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
 
static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;
 
/* Header.proto */
#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[] = {
  "proteus/WaveTools.py",
  "stringsource",
  "proteus/WaveTools.pxd",
  "__init__.pxd",
  "type.pxd",
};
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":690
 * # 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":691
 * 
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":692
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":693
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":697
 * #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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":698
 * 
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":699
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":700
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":704
 * #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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":705
 * 
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":714
 * # 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":715
 * # 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":716
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":718
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":719
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":720
 * 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;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":722
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":723
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":725
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":726
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":727
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
 
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
 
 
/*--- Type declarations ---*/
struct __pyx_obj_9WaveTools_SteadyCurrent;
struct __pyx_obj_9WaveTools_SolitaryWave;
struct __pyx_obj_9WaveTools_MonochromaticWaves;
struct __pyx_obj_9WaveTools_NewWave;
struct __pyx_obj_9WaveTools_RandomWaves;
struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves;
struct __pyx_obj_9WaveTools_DirectionalWaves;
struct __pyx_obj_9WaveTools_TimeSeries;
struct __pyx_obj_9WaveTools_RandomNLWaves;
struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__;
struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":729
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":730
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":731
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
 
/* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":733
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
 
/* "WaveTools.pxd":31
 * 
 * # pointer to eta function
 * ctypedef double (*cfeta) (MonochromaticWaves, double* , double )             # <<<<<<<<<<<<<<
 * 
 * # pointer to velocity function
 */
typedef double (*__pyx_t_9WaveTools_cfeta)(struct __pyx_obj_9WaveTools_MonochromaticWaves *, double *, double);
 
/* "WaveTools.pxd":34
 * 
 * # pointer to velocity function
 * ctypedef void (*cfvel) (MonochromaticWaves, double*, double* , double )             # <<<<<<<<<<<<<<
 * 
 * 
 */
typedef void (*__pyx_t_9WaveTools_cfvel)(struct __pyx_obj_9WaveTools_MonochromaticWaves *, double *, double *, double);
 
/* "WaveTools.pxd":186
 * 
 * # pointer to eta function
 * ctypedef double (*cfeta2) (TimeSeries, double* , double )             # <<<<<<<<<<<<<<
 * 
 * # pointer to velocity function
 */
typedef double (*__pyx_t_9WaveTools_cfeta2)(struct __pyx_obj_9WaveTools_TimeSeries *, double *, double);
 
/* "WaveTools.pxd":189
 * 
 * # pointer to velocity function
 * ctypedef void (*cfvel2) (TimeSeries, double*, double* , double )             # <<<<<<<<<<<<<<
 * 
 * cdef class  TimeSeries:
 */
typedef void (*__pyx_t_9WaveTools_cfvel2)(struct __pyx_obj_9WaveTools_TimeSeries *, double *, double *, double);
struct __pyx_defaults {
  PyObject *__pyx_arg_Lgen;
};
 
/* "WaveTools.pxd":37
 * 
 * 
 * cdef class  SteadyCurrent:             # <<<<<<<<<<<<<<
 *     cdef public:
 *         double mwl
 */
struct __pyx_obj_9WaveTools_SteadyCurrent {
  PyObject_HEAD
  double mwl;
  PyArrayObject *U;
  double ramp;
};
 
 
/* "WaveTools.pxd":42
 *     cdef np.ndarray U
 *     cdef double ramp
 * cdef class  SolitaryWave:             # <<<<<<<<<<<<<<
 *     cdef double H,gAbs,K,depth,d2,d3
 *     cdef public:
 */
struct __pyx_obj_9WaveTools_SolitaryWave {
  PyObject_HEAD
  double H;
  double gAbs;
  double K;
  double depth;
  double d2;
  double d3;
  double mwl;
  double c;
  PyArrayObject *g;
  PyArrayObject *waveDir;
  PyArrayObject *vDir;
  PyArrayObject *trans;
  bool fast;
};
 
 
/* "WaveTools.pxd":49
 *     cdef bool fast
 * 
 * cdef class  MonochromaticWaves:             # <<<<<<<<<<<<<<
 *     cdef bool fast
 *     cdef np.ndarray g,waveDir,vDir,Ycoeff,Bcoeff,kDir,tanhF,mV
 */
struct __pyx_obj_9WaveTools_MonochromaticWaves {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_MonochromaticWaves *__pyx_vtab;
  bool fast;
  PyArrayObject *g;
  PyArrayObject *waveDir;
  PyArrayObject *vDir;
  PyArrayObject *Ycoeff;
  PyArrayObject *Bcoeff;
  PyArrayObject *kDir;
  PyArrayObject *tanhF;
  PyArrayObject *mV;
  double gAbs;
  double phi;
  double depth;
  double omega;
  double k;
  double phi0;
  double tanhL;
  double amplitude;
  int Nf;
  double *kDir_;
  double *waveDir_;
  double *vDir_;
  double *mV_;
  double *Ycoeff_;
  double *Bcoeff_;
  double *tanhF_;
  double kDir_c[3];
  double waveDir_c[3];
  double vDir_c[3];
  double mV_c[3];
  double Ycoeff_c[0x3E8];
  double Bcoeff_c[0x3E8];
  double tanh_c[0x3E8];
  double wavelength;
  double mwl;
  __pyx_t_9WaveTools_cfeta _cpp_eta;
  __pyx_t_9WaveTools_cfvel _cpp_u;
  PyObject *waveType;
};
 
 
/* "WaveTools.pxd":79
 *     cdef void uFenton(self, double* U, double* x, double t)
 * 
 * cdef class NewWave:             # <<<<<<<<<<<<<<
 *     cdef bool fast
 *     cdef double* waveDir_
 */
struct __pyx_obj_9WaveTools_NewWave {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_NewWave *__pyx_vtab;
  bool fast;
  double *waveDir_;
  double *vDir_;
  double *tanh_;
  double *ai_;
  double *phi_;
  double *omega_;
  double *kDir_;
  double *ki_;
  double waveDir_c[3];
  double vDir_c[3];
  double kDir_c[0x7530];
  double omega_c[0x2710];
  double ki_c[0x2710];
  double ai_c[0x2710];
  double tanh_c[0x2710];
  double phi_c[0x2710];
  double mwl;
  double depth;
  double gAbs;
  double Tlag;
  double Hs;
  double Tp;
  double fp;
  double bandFactor;
  double df;
  double focus;
  double tfocus;
  int N;
  PyArrayObject *fi;
  PyArrayObject *fim;
  PyArrayObject *Si_Jm;
  PyArrayObject *ki;
  PyArrayObject *omega;
  PyArrayObject *tanhF;
  PyArrayObject *g;
  PyArrayObject *waveDir;
  PyArrayObject *vDir;
  PyArrayObject *kDir;
  PyArrayObject *ai;
  PyObject *phi;
};
 
 
/* "WaveTools.pxd":104
 *     cdef double _cpp_eta(self , double* x, double t)
 *     cdef void _cpp_u(self, double *U, double* x, double t)
 * cdef class RandomWaves:             # <<<<<<<<<<<<<<
 *     cdef bool fast
 *     cdef double* waveDir_
 */
struct __pyx_obj_9WaveTools_RandomWaves {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_RandomWaves *__pyx_vtab;
  bool fast;
  double *waveDir_;
  double *vDir_;
  double *tanh_;
  double *ai_;
  double *phi_;
  double *omega_;
  double *kDir_;
  double *ki_;
  double waveDir_c[3];
  double vDir_c[3];
  double kDir_c[0x7530];
  double omega_c[0x2710];
  double ki_c[0x2710];
  double ai_c[0x2710];
  double tanh_c[0x2710];
  double phi_c[0x2710];
  double mwl;
  double depth;
  double gAbs;
  double Tlag;
  double Hs;
  double Tp;
  double fp;
  double bandFactor;
  double df;
  double wavelength;
  int N;
  PyArrayObject *fi;
  PyArrayObject *fim;
  PyArrayObject *Si_Jm;
  PyArrayObject *ki;
  PyArrayObject *omega;
  PyArrayObject *tanhF;
  PyArrayObject *g;
  PyArrayObject *waveDir;
  PyArrayObject *vDir;
  PyArrayObject *kDir;
  PyArrayObject *ai;
  PyObject *phi;
};
 
 
/* "WaveTools.pxd":132
 * 
 * 
 * cdef class MultiSpectraRandomWaves:             # <<<<<<<<<<<<<<
 *     cdef bool fast
 *     cdef double gAbs
 */
struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_MultiSpectraRandomWaves *__pyx_vtab;
  bool fast;
  double gAbs;
  int Nall;
  int N;
  PyArrayObject *g;
  PyArrayObject *vDir;
  PyArrayObject *waveDir;
  PyArrayObject *omegaM;
  PyArrayObject *phiM;
  PyArrayObject *kiM;
  PyArrayObject *kDirM;
  PyArrayObject *tanhFM;
  PyArrayObject *aiM;
  double *vDir_;
  double *omegaM_;
  double *phiM_;
  double *kiM_;
  double *kDirM_;
  double *tanhM_;
  double *waveDirM_;
  double *aiM_;
  double vDir_c[3];
  double kDir_cM[0x7530];
  double waveDir_cM[0x7530];
  double omega_cM[0x2710];
  double ki_cM[0x2710];
  double ai_cM[0x2710];
  double tanh_cM[0x2710];
  double phi_cM[0x2710];
  double mwl;
  double depth;
};
 
 
/* "WaveTools.pxd":158
 *     cdef void _cpp_u(self, double* U, double* x, double t)
 * 
 * cdef class DirectionalWaves:             # <<<<<<<<<<<<<<
 *     cdef bool fast
 *     cdef double gAbs
 */
struct __pyx_obj_9WaveTools_DirectionalWaves {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_DirectionalWaves *__pyx_vtab;
  bool fast;
  double gAbs;
  int Nall;
  int Mtot;
  int N;
  PyArrayObject *vDir;
  PyArrayObject *omega;
  PyArrayObject *tanh;
  PyArrayObject *waveDir0;
  PyArrayObject *waveDirs;
  PyArrayObject *phiDirs;
  PyArrayObject *aiDirs;
  PyArrayObject *ki;
  PyArrayObject *kDirs;
  PyArrayObject *tanhF;
  double *vDir_;
  double *omega_;
  double *phi_;
  double *ki_;
  double *kDir_;
  double *tanh_;
  double *waveDir_;
  double *ai_;
  double vDir_c[3];
  double kDir_c[0x493E0];
  double waveDir_c[0x493E0];
  double omega_c[0x186A0];
  double ki_c[0x186A0];
  double ai_c[0x186A0];
  double tanh_c[0x186A0];
  double phi_c[0x186A0];
  double mwl;
  double depth;
};
 
 
/* "WaveTools.pxd":191
 * ctypedef void (*cfvel2) (TimeSeries, double*, double* , double )
 * 
 * cdef class  TimeSeries:             # <<<<<<<<<<<<<<
 *     cdef bool fast,rec_direct
 *     cdef np.ndarray g,waveDir,vDir,x0,kDir,tanhF,time,etaS,ai,omega,phi,ki
 */
struct __pyx_obj_9WaveTools_TimeSeries {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_TimeSeries *__pyx_vtab;
  bool fast;
  bool rec_direct;
  PyArrayObject *g;
  PyArrayObject *waveDir;
  PyArrayObject *vDir;
  PyArrayObject *x0;
  PyArrayObject *kDir;
  PyArrayObject *tanhF;
  PyArrayObject *time;
  PyArrayObject *etaS;
  PyArrayObject *ai;
  PyArrayObject *omega;
  PyArrayObject *phi;
  PyArrayObject *ki;
  double gAbs;
  double depth;
  double Tm;
  double overlap;
  double cutoff;
  double setup;
  double handover;
  double Twindow;
  double Tlag;
  double Toverlap;
  double dt;
  double t0;
  double tlength;
  int N;
  int Nall;
  int Nf;
  int Nwaves;
  int Nwindows;
  PyObject *windows_handover;
  PyObject *windows_rec;
  PyObject *decompose_window;
  double *kDir_;
  double *waveDir_;
  double *vDir_;
  double *tanh_;
  double *whand_;
  double *ai_;
  double *omega_;
  double *phi_;
  double *ki_;
  double *T0_;
  double x0_[3];
  double kDir_c[0x2DC6C0];
  double ki_c[0xF4240];
  double ai_c[0xF4240];
  double omega_c[0xF4240];
  double phi_c[0xF4240];
  double tanh_c[0xF4240];
  double waveDir_c[3];
  double vDir_c[3];
  double x0_c[3];
  double whand_c[0xF4240];
  double T0[0xF4240];
  double wavelength;
  double mwl;
  PyObject *eta;
  PyObject *u;
  __pyx_t_9WaveTools_cfeta2 _cpp_eta;
  __pyx_t_9WaveTools_cfvel2 _cpp_u;
};
 
 
/* "WaveTools.pxd":229
 *     cdef void _cpp_uWindow(self, double* U, double* x, double t)
 * 
 * cdef class RandomNLWaves:             # <<<<<<<<<<<<<<
 *     cdef bool fast
 *     cdef np.ndarray omega,ki,kDir,phi,tanhKd,sinhKd,waveDir,ai
 */
struct __pyx_obj_9WaveTools_RandomNLWaves {
  PyObject_HEAD
  struct __pyx_vtabstruct_9WaveTools_RandomNLWaves *__pyx_vtab;
  bool fast;
  PyArrayObject *omega;
  PyArrayObject *ki;
  PyArrayObject *kDir;
  PyArrayObject *phi;
  PyArrayObject *tanhKd;
  PyArrayObject *sinhKd;
  PyArrayObject *waveDir;
  PyArrayObject *ai;
  int N;
  double depth;
  double gAbs;
  double *tanhKd_;
  double *sinhKd_;
  double *ai_;
  double *phi_;
  double *omega_;
  double *kDir_;
  double *ki_;
  double kDir_c[0x7530];
  double omega_c[0x2710];
  double ki_c[0x2710];
  double ai_c[0x2710];
  double tanh_c[0x2710];
  double sinh_c[0x2710];
  double phi_c[0x2710];
  PyObject *eta;
  PyObject *u;
  PyObject *eta_linear;
};
 
 
/* "WaveTools.py":1204
 *              Switch for optimised functions
 *     """
 *     def __cinit__(self,             # <<<<<<<<<<<<<<
 *                   Tp,
 *                   Hs,
 */
struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ {
  PyObject_HEAD
  struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self;
  PyObject *__pyx_v_xfocus;
};
 
 
/* "WaveTools.py":1268
 *         if(self.N > 10000):
 *             logEvent("ERROR! Wavetools.py: Maximum number of frequencies for Random Waves is 10000 ",level=0)
 *         self.phi= -sum(self.kDir[:,j]*xfocus[j] for j in range(3))+tfocus*self.omega             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr {
  PyObject_HEAD
  struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *__pyx_outer_scope;
  PyObject *__pyx_v_j;
  PyObject *__pyx_t_0;
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/* "WaveTools.py":889
 * 
 * 
 * class  MonochromaticWaves(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for generating regular waves in both linear and nonlinear regimes. See Dean and Dalrymple 1994 for equations.
 */
 
struct __pyx_vtabstruct_9WaveTools_MonochromaticWaves {
  double (*etaLinear)(struct __pyx_obj_9WaveTools_MonochromaticWaves *, double *, double);
  double (*etaFenton)(struct __pyx_obj_9WaveTools_MonochromaticWaves *, double *, double);
  void (*uLinear)(struct __pyx_obj_9WaveTools_MonochromaticWaves *, double *, double *, double);
  void (*uFenton)(struct __pyx_obj_9WaveTools_MonochromaticWaves *, double *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_MonochromaticWaves *__pyx_vtabptr_9WaveTools_MonochromaticWaves;
 
 
/* "WaveTools.py":1165
 *         return U
 * 
 * class NewWave(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for generating the NewWave theory (see Tromans et al. 1991)
 */
 
struct __pyx_vtabstruct_9WaveTools_NewWave {
  double (*_cpp_eta)(struct __pyx_obj_9WaveTools_NewWave *, double *, double);
  void (*_cpp_u)(struct __pyx_obj_9WaveTools_NewWave *, double *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_NewWave *__pyx_vtabptr_9WaveTools_NewWave;
 
 
/* "WaveTools.py":1398
 *         return series
 * 
 * class RandomWaves(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for generating plane random waves using linear reconstruction of components from a
 */
 
struct __pyx_vtabstruct_9WaveTools_RandomWaves {
  double (*_cpp_eta)(struct __pyx_obj_9WaveTools_RandomWaves *, double *, double);
  void (*_cpp_u)(struct __pyx_obj_9WaveTools_RandomWaves *, double *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_RandomWaves *__pyx_vtabptr_9WaveTools_RandomWaves;
 
 
/* "WaveTools.py":1658
 * 
 * 
 * class MultiSpectraRandomWaves(object):             # <<<<<<<<<<<<<<
 *     """This class is used for generating random waves by combining
 *     multiple spectra with different distributions and directions
 */
 
struct __pyx_vtabstruct_9WaveTools_MultiSpectraRandomWaves {
  double (*_cpp_eta)(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *, double *, double);
  void (*_cpp_u)(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *, double *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_MultiSpectraRandomWaves *__pyx_vtabptr_9WaveTools_MultiSpectraRandomWaves;
 
 
/* "WaveTools.py":1853
 * 
 * 
 * class DirectionalWaves(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for generating directional random waves using linear reconstruction of components from a
 */
 
struct __pyx_vtabstruct_9WaveTools_DirectionalWaves {
  double (*_cpp_eta)(struct __pyx_obj_9WaveTools_DirectionalWaves *, double *, double);
  void (*_cpp_u)(struct __pyx_obj_9WaveTools_DirectionalWaves *, double *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_DirectionalWaves *__pyx_vtabptr_9WaveTools_DirectionalWaves;
 
 
/* "WaveTools.py":2096
 * 
 * 
 * class TimeSeries(object):             # <<<<<<<<<<<<<<
 *     """This class is used for generating waves from an arbirtrary free-surface elevation time series
 * 
 */
 
struct __pyx_vtabstruct_9WaveTools_TimeSeries {
  double (*_cpp_etaDirect)(struct __pyx_obj_9WaveTools_TimeSeries *, double *, double);
  double (*_cpp_etaWindow)(struct __pyx_obj_9WaveTools_TimeSeries *, double *, double);
  void (*_cpp_uDirect)(struct __pyx_obj_9WaveTools_TimeSeries *, double *, double *, double);
  void (*_cpp_uWindow)(struct __pyx_obj_9WaveTools_TimeSeries *, double *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_TimeSeries *__pyx_vtabptr_9WaveTools_TimeSeries;
 
 
/* "WaveTools.py":2764
 * 
 * 
 * class RandomNLWaves(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is contains functions for calculating random waves with 2nd order corrections
 */
 
struct __pyx_vtabstruct_9WaveTools_RandomNLWaves {
  double (*_cpp_eta_2ndOrder)(struct __pyx_obj_9WaveTools_RandomNLWaves *, double *, double);
  double (*_cpp_eta_short)(struct __pyx_obj_9WaveTools_RandomNLWaves *, double *, double);
  double (*_cpp_eta_long)(struct __pyx_obj_9WaveTools_RandomNLWaves *, double *, double);
};
static struct __pyx_vtabstruct_9WaveTools_RandomNLWaves *__pyx_vtabptr_9WaveTools_RandomNLWaves;
 
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/* PyFunctionFastCall.proto */
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static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
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/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif
 
/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);
 
/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);
 
/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideCObj(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif
 
/* IncludeStringH.proto */
#include <string.h>
 
/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);
 
/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);
 
/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif
 
/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_EqObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (PyObject_RichCompare(op1, op2, Py_EQ))
    #endif
 
/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif
 
/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
 
/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
 
/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif
 
/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
 
/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
 
/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);
 
/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);
 
/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);
 
/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
 
/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);
 
/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif
 
/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);
 
/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);
 
/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);
 
/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);
 
/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif
 
/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
 
/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif
 
/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif
 
/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
 
/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);
 
/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);
 
/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif
 
/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
 
/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);
 
/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
 
/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);
 
/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif
 
/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);
 
/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif
 
/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
 
/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);
 
/* GCCDiagnostics.proto */
#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif
 
/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif
 
/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
 
/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);
 
/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);
 
/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
 
/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif
 
/* CoroutineBase.proto */
typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
    PyObject *gi_weakreflist;
    PyObject *classobj;
    PyObject *yieldfrom;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static PyObject *__Pyx_Coroutine_Close(PyObject *self);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);
 
/* PatchModuleWithCoroutine.proto */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);
 
/* PatchGeneratorABC.proto */
static int __Pyx_patch_abc(void);
 
/* Generator.proto */
#define __Pyx_Generator_USED
static PyTypeObject *__pyx_GeneratorType = 0;
#define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(void);
 
/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);
 
/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
 
static double __pyx_f_9WaveTools_18MonochromaticWaves_etaLinear(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_18MonochromaticWaves_etaFenton(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_18MonochromaticWaves_uLinear(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_18MonochromaticWaves_uFenton(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_7NewWave__cpp_eta(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_7NewWave__cpp_u(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_11RandomWaves__cpp_eta(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_11RandomWaves__cpp_u(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_23MultiSpectraRandomWaves__cpp_eta(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_23MultiSpectraRandomWaves__cpp_u(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_16DirectionalWaves__cpp_eta(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_16DirectionalWaves__cpp_u(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_10TimeSeries__cpp_etaDirect(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_10TimeSeries__cpp_uDirect(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_10TimeSeries__cpp_etaWindow(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static void __pyx_f_9WaveTools_10TimeSeries__cpp_uWindow(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, double *__pyx_v_U, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_13RandomNLWaves__cpp_eta_2ndOrder(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_13RandomNLWaves__cpp_eta_short(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
static double __pyx_f_9WaveTools_13RandomNLWaves__cpp_eta_long(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, double *__pyx_v_x, double __pyx_v_t); /* proto*/
 
/* Module declarations from 'cython' */
 
/* Module declarations from 'libc.math' */
 
/* Module declarations from 'cpython.buffer' */
 
/* Module declarations from 'libc.string' */
 
/* Module declarations from 'libc.stdio' */
 
/* Module declarations from '__builtin__' */
 
/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;
 
/* Module declarations from 'cpython' */
 
/* Module declarations from 'cpython.object' */
 
/* Module declarations from 'cpython.ref' */
 
/* Module declarations from 'cpython.mem' */
 
/* Module declarations from 'numpy' */
 
/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_generic = 0;
static PyTypeObject *__pyx_ptype_5numpy_number = 0;
static PyTypeObject *__pyx_ptype_5numpy_integer = 0;
static PyTypeObject *__pyx_ptype_5numpy_signedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_unsignedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_inexact = 0;
static PyTypeObject *__pyx_ptype_5numpy_floating = 0;
static PyTypeObject *__pyx_ptype_5numpy_complexfloating = 0;
static PyTypeObject *__pyx_ptype_5numpy_flexible = 0;
static PyTypeObject *__pyx_ptype_5numpy_character = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
 
/* Module declarations from 'libcpp' */
 
/* Module declarations from 'WaveTools' */
static PyTypeObject *__pyx_ptype_9WaveTools_SteadyCurrent = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_SolitaryWave = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_MonochromaticWaves = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_NewWave = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_RandomWaves = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_MultiSpectraRandomWaves = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_DirectionalWaves = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_TimeSeries = 0;
static PyTypeObject *__pyx_ptype_9WaveTools_RandomNLWaves = 0;
static PyTypeObject *__pyx_ptype_9WaveTools___pyx_scope_struct____cinit__ = 0;
static PyTypeObject *__pyx_ptype_9WaveTools___pyx_scope_struct_1_genexpr = 0;
static PyObject *__pyx_f_9WaveTools___pyx_unpickle_SteadyCurrent__set_state(struct __pyx_obj_9WaveTools_SteadyCurrent *, PyObject *); /*proto*/
static PyObject *__pyx_f_9WaveTools___pyx_unpickle_SolitaryWave__set_state(struct __pyx_obj_9WaveTools_SolitaryWave *, PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__Pyx_carray_to_py_double(double *, Py_ssize_t); /*proto*/
static CYTHON_INLINE PyObject *__Pyx_carray_to_tuple_double(double *, Py_ssize_t); /*proto*/
#define __Pyx_MODULE_NAME "WaveTools"
extern int __pyx_module_is_main_WaveTools;
int __pyx_module_is_main_WaveTools = 0;
 
/* Implementation of 'WaveTools' */
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_sum;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_max;
static PyObject *__pyx_builtin_open;
static PyObject *__pyx_builtin_round;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_ImportError;
static const char __pyx_k_K[] = "K";
static const char __pyx_k_M[] = "M";
static const char __pyx_k_N[] = "N";
static const char __pyx_k_U[] = "U";
static const char __pyx_k_V[] = "V";
static const char __pyx_k_Z[] = "Z";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_f[] = "f";
static const char __pyx_k_g[] = "g";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_l[] = "l";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_t[] = "t";
static const char __pyx_k_u[] = "u";
static const char __pyx_k_w[] = "w";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_G0[] = "G0";
static const char __pyx_k_Hs[] = "Hs";
static const char __pyx_k_Nf[] = "Nf";
static const char __pyx_k_Np[] = "Np";
static const char __pyx_k_RW[] = "RW";
static const char __pyx_k_TS[] = "TS";
static const char __pyx_k_Tm[] = "Tm";
static const char __pyx_k_Tp[] = "Tp";
static const char __pyx_k_UH[] = "UH";
static const char __pyx_k_UV[] = "UV";
static const char __pyx_k_a1[] = "a1";
static const char __pyx_k_a2[] = "a2";
static const char __pyx_k_aR[] = "aR";
static const char __pyx_k_aa[] = "aa";
static const char __pyx_k_ai[] = "ai";
static const char __pyx_k_bj[] = "bj";
static const char __pyx_k_df[] = "df";
static const char __pyx_k_dt[] = "dt";
static const char __pyx_k_f0[] = "f0";
static const char __pyx_k_fi[] = "fi";
static const char __pyx_k_ho[] = "ho";
static const char __pyx_k_i1[] = "i1";
static const char __pyx_k_i2[] = "i2";
static const char __pyx_k_ii[] = "ii";
static const char __pyx_k_jj[] = "jj";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_pi[] = "pi";
static const char __pyx_k_pp[] = "pp";
static const char __pyx_k_te[] = "te";
static const char __pyx_k_ts[] = "ts";
static const char __pyx_k_tt[] = "tt";
static const char __pyx_k_uR[] = "uR";
static const char __pyx_k_v1[] = "v1";
static const char __pyx_k_v2[] = "v2";
static const char __pyx_k_ww[] = "ww";
static const char __pyx_k_x0[] = "x0";
static const char __pyx_k_xx[] = "xx";
static const char __pyx_k_Er1[] = "Er1 =";
static const char __pyx_k_TMA[] = "TMA";
static const char __pyx_k__43[] = ",";
static const char __pyx_k__52[] = " ";
static const char __pyx_k_aRN[] = "aRN";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_amp[] = "amp";
static const char __pyx_k_cos[] = "cos";
static const char __pyx_k_csv[] = ".csv";
static const char __pyx_k_cut[] = "cut";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_dom[] = "dom";
static const char __pyx_k_er1[] = "er1";
static const char __pyx_k_eta[] = "eta";
static const char __pyx_k_exp[] = "exp";
static const char __pyx_k_fft[] = "fft";
static const char __pyx_k_fun[] = "fun";
static const char __pyx_k_get[] = "get";
static const char __pyx_k_log[] = "log";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_mwl[] = "mwl";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_phi[] = "phi";
static const char __pyx_k_str[] = "str";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_tma[] = "tma";
static const char __pyx_k_txt[] = ".txt";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_Comm[] = "Comm";
static const char __pyx_k_Hs_2[] = "_Hs_";
static const char __pyx_k_Lgen[] = "Lgen";
static const char __pyx_k_Nmax[] = "Nmax";
static const char __pyx_k_Tend[] = "Tend";
static const char __pyx_k_Tlag[] = "Tlag";
static const char __pyx_k_Tmax[] = "Tmax";
static const char __pyx_k_Tp_2[] = "_Tp_";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_cmat[] = "cmat";
static const char __pyx_k_cond[] = "cond";
static const char __pyx_k_cppU[] = "cppU";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_etaR[] = "etaR";
static const char __pyx_k_exit[] = "exit";
static const char __pyx_k_fast[] = "fast";
static const char __pyx_k_freq[] = "freq";
static const char __pyx_k_func[] = "func";
static const char __pyx_k_gAbs[] = "gAbs";
static const char __pyx_k_iend[] = "iend";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_kAbs[] = "kAbs";
static const char __pyx_k_kDir[] = "kDir";
static const char __pyx_k_long[] = "long";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mean[] = "mean";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_nfft[] = "nfft";
static const char __pyx_k_norm[] = "norm";
static const char __pyx_k_ones[] = "ones";
static const char __pyx_k_open[] = "open";
static const char __pyx_k_phi0[] = "phi0";
static const char __pyx_k_rand[] = "rand";
static const char __pyx_k_real[] = "real";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_sinh[] = "sinh";
static const char __pyx_k_smax[] = "smax";
static const char __pyx_k_sqrt[] = "sqrt";
static const char __pyx_k_tanh[] = "tanh";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_vDir[] = "vDir";
static const char __pyx_k_wind[] = "wind";
static const char __pyx_k_Nfreq[] = "Nfreq";
static const char __pyx_k_Nwind[] = "Nwind";
static const char __pyx_k_Uhorz[] = "Uhorz";
static const char __pyx_k_Uvert[] = "Uvert";
static const char __pyx_k_all_2[] = "__all__";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_cmath[] = "cmath";
static const char __pyx_k_cos2s[] = "cos2s";
static const char __pyx_k_depth[] = "depth";
static const char __pyx_k_fft_x[] = "fft_x";
static const char __pyx_k_fname[] = "fname";
static const char __pyx_k_gamma[] = "gamma";
static const char __pyx_k_level[] = "level";
static const char __pyx_k_modes[] = "modes";
static const char __pyx_k_niter[] = "niter";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_omega[] = "omega";
static const char __pyx_k_overl[] = "overl";
static const char __pyx_k_phase[] = "phase";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_rec_d[] = "rec_d";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_setUp[] = "setUp";
static const char __pyx_k_setup[] = "setup";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_short[] = "short";
static const char __pyx_k_sigma[] = "sigma";
static const char __pyx_k_sinus[] = "sinus";
static const char __pyx_k_state[] = "state";
static const char __pyx_k_theta[] = "theta";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_trans[] = "trans";
static const char __pyx_k_w_aux[] = "w_aux";
static const char __pyx_k_where[] = "where";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_Bcoeff[] = "Bcoeff";
static const char __pyx_k_Cutoff[] = "Cutoff";
static const char __pyx_k_Fenton[] = "Fenton";
static const char __pyx_k_Linear[] = "Linear";
static const char __pyx_k_NLongW[] = "NLongW";
static const char __pyx_k_Nwaves[] = "Nwaves";
static const char __pyx_k_PM_mod[] = "PM_mod";
static const char __pyx_k_Period[] = "Period";
static const char __pyx_k_Tstart[] = "Tstart";
static const char __pyx_k_Udrift[] = "Udrift";
static const char __pyx_k_Window[] = "Window";
static const char __pyx_k_Ycoeff[] = "Ycoeff";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_costap[] = "costap";
static const char __pyx_k_custom[] = "custom";
static const char __pyx_k_cutoff[] = "cutoff";
static const char __pyx_k_dict_2[] = "_dict";
static const char __pyx_k_errors[] = "errors";
static const char __pyx_k_freq_S[] = "freq_S";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_interp[] = "interp";
static const char __pyx_k_linalg[] = "linalg";
static const char __pyx_k_linear[] = "linear";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_object[] = "object";
static const char __pyx_k_omega0[] = "omega0";
static const char __pyx_k_period[] = "period";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_random[] = "random";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_series[] = "series";
static const char __pyx_k_tfocus[] = "tfocus";
static const char __pyx_k_tolist[] = "tolist";
static const char __pyx_k_tophat[] = "tophat";
static const char __pyx_k_uCheck[] = "uCheck";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_vector[] = "vector";
static const char __pyx_k_xfocus[] = "xfocus";
static const char __pyx_k_JONSWAP[] = "JONSWAP";
static const char __pyx_k_NewWave[] = "NewWave";
static const char __pyx_k_Nseries[] = "Nseries";
static const char __pyx_k_Overlap[] = "Overlap";
static const char __pyx_k_TWindow[] = "TWindow";
static const char __pyx_k_barrier[] = "barrier";
static const char __pyx_k_depth_2[] = "_depth_";
static const char __pyx_k_fftfreq[] = "fftfreq";
static const char __pyx_k_fim_tmp[] = "fim_tmp";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_loadtxt[] = "loadtxt";
static const char __pyx_k_logFile[] = "logFile";
static const char __pyx_k_ncoeffs[] = "ncoeffs";
static const char __pyx_k_npoints[] = "npoints";
static const char __pyx_k_old_div[] = "old_div";
static const char __pyx_k_periods[] = "periods";
static const char __pyx_k_phiSymm[] = "phiSymm";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_proteus[] = "proteus";
static const char __pyx_k_results[] = "results";
static const char __pyx_k_savetxt[] = "savetxt";
static const char __pyx_k_timelst[] = "timelst";
static const char __pyx_k_uDirect[] = "uDirect";
static const char __pyx_k_uWindow[] = "uWindow";
static const char __pyx_k_waveDir[] = "waveDir";
static const char __pyx_k_windOut[] = "windOut";
static const char __pyx_k_windows[] = "windows";
static const char __pyx_k_wtError[] = "wtError";
static const char __pyx_k_Cutoff_2[] = "Cutoff=";
static const char __pyx_k_End_time[] = "End time= ";
static const char __pyx_k_EtasetUp[] = "EtasetUp";
static const char __pyx_k_Nspectra[] = "Nspectra";
static const char __pyx_k_TOverlap[] = "TOverlap";
static const char __pyx_k_builtins[] = "builtins";
static const char __pyx_k_checkAcc[] = "checkAcc";
static const char __pyx_k_dirCheck[] = "dirCheck";
static const char __pyx_k_dircheck[] = "dircheck";
static const char __pyx_k_duration[] = "duration";
static const char __pyx_k_etaCheck[] = "etaCheck";
static const char __pyx_k_eta_long[] = "eta_long";
static const char __pyx_k_eta_mode[] = "eta_mode";
static const char __pyx_k_funcName[] = "funcName";
static const char __pyx_k_func_ret[] = "func_ret";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_isMaster[] = "isMaster";
static const char __pyx_k_linspace[] = "linspace";
static const char __pyx_k_logEvent[] = "logEvent";
static const char __pyx_k_printOut[] = "printOut";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_rampTime[] = "rampTime";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_skiprows[] = "skiprows";
static const char __pyx_k_vel_mode[] = "vel_mode";
static const char __pyx_k_waveDir0[] = "waveDir0";
static const char __pyx_k_waveList[] = "waveList";
static const char __pyx_k_waveType[] = "waveType";
static const char __pyx_k_NewWave_u[] = "NewWave.u";
static const char __pyx_k_Profiling[] = "Profiling";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_WaveTools[] = "WaveTools";
static const char __pyx_k_amplitude[] = "amplitude";
static const char __pyx_k_arrayData[] = "arrayData";
static const char __pyx_k_condition[] = "condition";
static const char __pyx_k_conv_crit[] = "conv_crit";
static const char __pyx_k_copyFiles[] = "copyFiles";
static const char __pyx_k_delimiter[] = "delimiter";
static const char __pyx_k_etaDirect[] = "etaDirect";
static const char __pyx_k_etaWindow[] = "etaWindow";
static const char __pyx_k_eta_setUp[] = "eta_setUp";
static const char __pyx_k_eta_short[] = "eta_short";
static const char __pyx_k_funcNames[] = "funcNames";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_mitsuyasu[] = "mitsuyasu";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_spectName[] = "spectName";
static const char __pyx_k_wwi_setUp[] = "wwi_setUp";
static const char __pyx_k_Etaoverall[] = "Etaoverall";
static const char __pyx_k_Nwaves_tot[] = "Nwaves_tot";
static const char __pyx_k_Start_Time[] = "Start Time =";
static const char __pyx_k_TimeSeries[] = "TimeSeries";
static const char __pyx_k_autoFenton[] = "autoFenton";
static const char __pyx_k_bandFactor[] = "bandFactor";
static const char __pyx_k_crestFocus[] = "crestFocus";
static const char __pyx_k_cutoff_win[] = "cutoff_win";
static const char __pyx_k_dispersion[] = "dispersion";
static const char __pyx_k_findWindow[] = "findWindow";
static const char __pyx_k_freq_array[] = "freq_array";
static const char __pyx_k_past_utils[] = "past.utils";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_rec_direct[] = "rec_direct";
static const char __pyx_k_rotation3D[] = "rotation3D";
static const char __pyx_k_runFourier[] = "runFourier";
static const char __pyx_k_setVertDir[] = "setVertDir";
static const char __pyx_k_spreadName[] = "spreadName";
static const char __pyx_k_waveHeight[] = "waveHeight";
static const char __pyx_k_waveheight[] = "waveheight";
static const char __pyx_k_wavelength[] = "wavelength";
static const char __pyx_k_writeInput[] = "writeInput";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_NewWave_eta[] = "NewWave.eta";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_RandomWaves[] = "RandomWaves";
static const char __pyx_k_Tstart_temp[] = "Tstart_temp";
static const char __pyx_k_cutoffTotal[] = "cutoffTotal";
static const char __pyx_k_eta_overall[] = "eta_overall";
static const char __pyx_k_getBYCoeffs[] = "getBYCoeffs";
static const char __pyx_k_seriesArray[] = "seriesArray";
static const char __pyx_k_sigmaReturn[] = "sigmaReturn";
static const char __pyx_k_CombineWaves[] = "CombineWaves";
static const char __pyx_k_RandomSeries[] = "RandomSeries";
static const char __pyx_k_SolitaryWave[] = "SolitaryWave";
static const char __pyx_k_SpatialTools[] = "SpatialTools";
static const char __pyx_k_coshkzd_test[] = "coshkzd_test";
static const char __pyx_k_eta_2ndOrder[] = "eta_2ndOrder";
static const char __pyx_k_fastcos_test[] = "fastcos_test";
static const char __pyx_k_height_steps[] = "height_steps";
static const char __pyx_k_meanVelocity[] = "meanVelocity";
static const char __pyx_k_normIntegral[] = "normIntegral";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_setDirVector[] = "setDirVector";
static const char __pyx_k_sinhkzd_test[] = "sinhkzd_test";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_use_setstate[] = "use_setstate";
static const char __pyx_k_RandomNLWaves[] = "RandomNLWaves";
static const char __pyx_k_RandomWaves_u[] = "RandomWaves.u";
static const char __pyx_k_SteadyCurrent[] = "SteadyCurrent";
static const char __pyx_k_fastcosh_test[] = "fastcosh_test";
static const char __pyx_k_fastsinh_test[] = "fastsinh_test";
static const char __pyx_k_getWavelength[] = "getWavelength";
static const char __pyx_k_randomNLWaves[] = "randomNLWaves_";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_spread_params[] = "spread_params";
static const char __pyx_k_window_params[] = "window_params";
static const char __pyx_k_CombineWaves_u[] = "CombineWaves.u";
static const char __pyx_k_SolitaryWave_u[] = "SolitaryWave.u";
static const char __pyx_k_autoFentonOpts[] = "autoFentonOpts";
static const char __pyx_k_proteus_fenton[] = "proteus.fenton";
static const char __pyx_k_timeSeriesFile[] = "timeSeriesFile";
static const char __pyx_k_validFunctions[] = "validFunctions";
static const char __pyx_k_writeEtaSeries[] = "writeEtaSeries";
static const char __pyx_k_RandomWavesFast[] = "RandomWavesFast";
static const char __pyx_k_RandomWaves_eta[] = "RandomWaves.eta";
static const char __pyx_k_SteadyCurrent_u[] = "SteadyCurrent.u";
static const char __pyx_k_points_velocity[] = "points_velocity";
static const char __pyx_k_points_vertical[] = "points_vertical";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_spectral_params[] = "spectral_params";
static const char __pyx_k_CombineWaves_eta[] = "CombineWaves.eta";
static const char __pyx_k_DirectionalWaves[] = "DirectionalWaves";
static const char __pyx_k_SolitaryWave_eta[] = "SolitaryWave.eta";
static const char __pyx_k_returnRectangles[] = "returnRectangles";
static const char __pyx_k_Number_of_windows[] = "Number of windows=";
static const char __pyx_k_RandomNLWavesFast[] = "RandomNLWavesFast";
static const char __pyx_k_SteadyCurrent_eta[] = "SteadyCurrent.eta";
static const char __pyx_k_current_criterion[] = "current_criterion";
static const char __pyx_k_current_magnitude[] = "current_magnitude";
static const char __pyx_k_decompose_tseries[] = "decompose_tseries";
static const char __pyx_k_reduceToIntervals[] = "reduceToIntervals";
static const char __pyx_k_DirectionalWaves_u[] = "DirectionalWaves.u";
static const char __pyx_k_MonochromaticWaves[] = "MonochromaticWaves";
static const char __pyx_k_TimeSeries_uDirect[] = "TimeSeries.uDirect";
static const char __pyx_k_TimeSeries_uWindow[] = "TimeSeries.uWindow";
static const char __pyx_k_TimeSeries_windOut[] = "TimeSeries.windOut";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_points_freesurface[] = "points_freesurface";
static const char __pyx_k_returnRectangles3D[] = "returnRectangles3D";
static const char __pyx_k_timeSeriesPosition[] = "timeSeriesPosition";
static const char __pyx_k_CombineWaves___init[] = "CombineWaves.__init__";
static const char __pyx_k_RandomNLWavesFast_u[] = "RandomNLWavesFast.u";
static const char __pyx_k_DirectionalWaves_eta[] = "DirectionalWaves.eta";
static const char __pyx_k_MonochromaticWaves_u[] = "MonochromaticWaves.u";
static const char __pyx_k_TimeSeries_etaDirect[] = "TimeSeries.etaDirect";
static const char __pyx_k_TimeSeries_etaWindow[] = "TimeSeries.etaWindow";
static const char __pyx_k_loadExistingFunction[] = "loadExistingFunction";
static const char __pyx_k_proteus_WaveTools_py[] = "proteus/WaveTools.py";
static const char __pyx_k_Direct_reconstruction[] = "Direct reconstruction? ";
static const char __pyx_k_RandomNLWavesFast_eta[] = "RandomNLWavesFast.eta";
static const char __pyx_k_RandomNLWaves_wtError[] = "RandomNLWaves.wtError";
static const char __pyx_k_TimeSeries_findWindow[] = "TimeSeries.findWindow";
static const char __pyx_k_MonochromaticWaves_eta[] = "MonochromaticWaves.eta";
static const char __pyx_k_NewWave_writeEtaSeries[] = "NewWave.writeEtaSeries";
static const char __pyx_k_RandomNLWaves_eta_long[] = "RandomNLWaves.eta_long";
static const char __pyx_k_RandomWavesFast___init[] = "RandomWavesFast.__init__";
static const char __pyx_k_cinit___locals_genexpr[] = "__cinit__.<locals>.genexpr";
static const char __pyx_k_MultiSpectraRandomWaves[] = "MultiSpectraRandomWaves";
static const char __pyx_k_NewWave___reduce_cython[] = "NewWave.__reduce_cython__";
static const char __pyx_k_RandomNLWaves_eta_setUp[] = "RandomNLWaves.eta_setUp";
static const char __pyx_k_RandomNLWaves_eta_short[] = "RandomNLWaves.eta_short";
static const char __pyx_k_RandomNLWavesFast___init[] = "RandomNLWavesFast.__init__";
static const char __pyx_k_RandomWavesFast_printOut[] = "RandomWavesFast.printOut";
static const char __pyx_k_MultiSpectraRandomWaves_u[] = "MultiSpectraRandomWaves.u";
static const char __pyx_k_NewWave___setstate_cython[] = "NewWave.__setstate_cython__";
static const char __pyx_k_RandomNLWaves_eta_overall[] = "RandomNLWaves.eta_overall";
static const char __pyx_k_pyx_unpickle_SolitaryWave[] = "__pyx_unpickle_SolitaryWave";
static const char __pyx_k_RandomNLWaves_eta_2ndOrder[] = "RandomNLWaves.eta_2ndOrder";
static const char __pyx_k_RandomWaves_writeEtaSeries[] = "RandomWaves.writeEtaSeries";
static const char __pyx_k_TimeSeries___reduce_cython[] = "TimeSeries.__reduce_cython__";
static const char __pyx_k_pyx_unpickle_SteadyCurrent[] = "__pyx_unpickle_SteadyCurrent";
static const char __pyx_k_MultiSpectraRandomWaves_eta[] = "MultiSpectraRandomWaves.eta";
static const char __pyx_k_RandomWaves___reduce_cython[] = "RandomWaves.__reduce_cython__";
static const char __pyx_k_waves_This_may_take_a_while[] = " waves. This may take a while";
static const char __pyx_k_RandomNLWaves_writeEtaSeries[] = "RandomNLWaves.writeEtaSeries";
static const char __pyx_k_SolitaryWave___reduce_cython[] = "SolitaryWave.__reduce_cython__";
static const char __pyx_k_TimeSeries___setstate_cython[] = "TimeSeries.__setstate_cython__";
static const char __pyx_k_RandomNLWaves___reduce_cython[] = "RandomNLWaves.__reduce_cython__";
static const char __pyx_k_RandomWaves___setstate_cython[] = "RandomWaves.__setstate_cython__";
static const char __pyx_k_SteadyCurrent___reduce_cython[] = "SteadyCurrent.__reduce_cython__";
static const char __pyx_k_SolitaryWave___setstate_cython[] = "SolitaryWave.__setstate_cython__";
static const char __pyx_k_self_Bcoeff__self_Ycoeff__self[] = "self.Bcoeff_,self.Ycoeff_,self._cpp_eta,self._cpp_u,self.kDir_,self.mV_,self.tanhF_,self.vDir_,self.waveDir_ cannot be converted to a Python object for pickling";
static const char __pyx_k_ERROR_Custom_parameters_not_set[] = "ERROR!: Custom parameters not set";
static const char __pyx_k_ERROR_Wavetools_py_meanVelocity[] = "ERROR! Wavetools.py: meanVelocity should be a vector with 3 components. ";
static const char __pyx_k_ERROR_Wavetools_py_phi_argument[] = "ERROR! Wavetools.py: phi argument must be an array with N elements";
static const char __pyx_k_INFO_WaveTools_py_Overlap_entry[] = "INFO WaveTools.py: Overlap entry in window_params dictionary not found. Setting default value of 0.7 (70% of the window length)";
static const char __pyx_k_RandomNLWaves___setstate_cython[] = "RandomNLWaves.__setstate_cython__";
static const char __pyx_k_SteadyCurrent___setstate_cython[] = "SteadyCurrent.__setstate_cython__";
static const char __pyx_k_This_class_is_used_for_combinin[] = "\n    This class is used for combining multiple waveTools classes, thus allowing for the generation of complex wave conditions\n\n    Parameters\n    ----------\n    waveList : list\n             List of wave classes\n    ";
static const char __pyx_k_This_class_is_used_for_generati[] = "\n    This class is used for generating plane random waves in an optimised manner\n    using linear reconstruction of components from a wave spectrum\n\n    Parameters\n    ----------\n    Tstart : float\n             Start time            \n    Tend : float\n             End time            \n    x0 : numpy.ndarray\n             Position vector for the time series            \n    Tp : float\n             Peak wave period\n    Hs : float\n             Significant wave height\n    mwl : float\n             Still water level\n    depth : float\n             Water depth\n    waveDir : numpy.ndarray\n             Wave direction vector\n    g : Numpy array\n             Gravitational acceleration vector\n    N : int\n             Number of frequency components\n    bandFactor : float\n             Spectral band factor. fmax = bandFactor/Tp, fmin = 1/(bandFactor*Tp)           \n    spectName : string\n             Name of spectral distribution\n    spectral_params : dict\n             Dictionary of arguments specific to the spectral distribution\n            Example for JONSWAP = {\"gamma\": 3.3, \"TMA\":True,\"depth\": depth}\n            TMA=True activates the TMA modification, which in turn needs the depth as a parameter\n    phi : numpy.ndarray\n             Component phases (if set to None, phases are picked at random)\n    Lgen : numpy.ndarray\n             Length of the generation zone (np.array([0., 0., 0.]) by default\n    Nwaves : int\n             Number of waves per window\n    Nfreq : int\n             Number of Fourier components per window\n    checkAcc : bool\n             Switch for enabling accuracy checks\n    fast : bool\n             Switch for enabling optimised functions \n    \n\n    ";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_DirectionalWaves___reduce_cython[] = "DirectionalWaves.__reduce_cython__";
static const char __pyx_k_DirectionalWaves___setstate_cyth[] = "DirectionalWaves.__setstate_cython__";
static const char __pyx_k_ERROR_Each_input_list_entry_shou[] = "ERROR!: Each input list entry should be a waveTools function with an eta function";
static const char __pyx_k_ERROR_Number_of_Fourier_modes_is[] = "ERROR!!: Number of Fourier modes is not set, please define a reasonable number of Fourier modes e.g. Nf = 12";
static const char __pyx_k_ERROR_WaveTools_py_Dictionary_ke[] = "ERROR! WaveTools.py: Dictionary key 'Nwaves' (waves per window) not found in window_params dictionary";
static const char __pyx_k_ERROR_WaveTools_py_Found_large_e[] = "ERROR!: WaveTools.py: Found large errors error={s}) during window reconstruction at RandomWavesFast. Please a) Increase Nfreq, b) Decrease waves per window to decrease error < 1%. You can set checkAcc = False if you want to proceed with these errors";
static const char __pyx_k_ERROR_WaveTools_py_Found_not_con[] = "ERROR! WaveTools.py:  Found not consistent time entry between %s and %s row in %s file. Time variable must be always at the first column of the file and increasing monotonically";
static const char __pyx_k_ERROR_WaveTools_py_Found_too_few[] = "ERROR!: WaveTools.py: Found too few windows in RandomWavesFast. Consider increasing Tend (this is independent from the duration of the simulation)";
static const char __pyx_k_ERROR_WaveTools_py_Reconstructio[] = "ERROR! WaveTools.py: Reconstruction is expected to have two windows or more. Plese reduce the number of waves per window or switch to direct decomposition )";
static const char __pyx_k_ERROR_WaveTools_py_Relaxation_zo[] = "ERROR!: WaveTools.py: Relaxation zone lenght does not allow for spatial coherency in the windows method.Please a) increase number of waves per window or b) increase overlap or c) decrease lenght of the relaxation zone";
static const char __pyx_k_ERROR_WaveTools_py_Set_parameter[] = "ERROR! WaveTools.py: Set parameters for spectral windowing. Argument window_params must be a dictionary";
static const char __pyx_k_ERROR_Wavetools_py_Additional_sp[] = "ERROR! Wavetools.py: Additional spectral parameters are not valid for the %s spectrum";
static const char __pyx_k_ERROR_Wavetools_py_File_s_must_b[] = "ERROR! Wavetools.py: File %s must be given in .txt or .csv format";
static const char __pyx_k_ERROR_Wavetools_py_Location_vect[] = "ERROR! Wavetools.py: Location vector of generation zone should not be opposite to the wave direction";
static const char __pyx_k_ERROR_Wavetools_py_Maximum_numbe[] = "ERROR! Wavetools.py: Maximum number of frequencies for Random Waves is 10000 ";
static const char __pyx_k_ERROR_Wavetools_py_Parameters_pa[] = "ERROR! Wavetools.py: Parameters passed in MultiSpectraRandomWaves must be in array or list form with length Nspectra  ";
static const char __pyx_k_ERROR_Wavetools_py_Phase_array_m[] = "ERROR! Wavetools.py: Phase array must have N elements";
static const char __pyx_k_ERROR_Wavetools_py_SteadyCurrent[] = "ERROR! Wavetools.py: SteadyCurrent velocity argument needs to be a vector with length = 3";
static const char __pyx_k_ERROR_Wavetools_py_Timeseries_fi[] = "ERROR! Wavetools.py: Timeseries file (%s) must have only two columns [time, eta]";
static const char __pyx_k_ERROR_Wavetools_py_Wavelenght_is[] = "ERROR! Wavetools.py: Wavelenght is not defined for nonlinear waves. Enter wavelength in class arguments";
static const char __pyx_k_ERROR_Wavetools_py_Window_handov[] = "ERROR! Wavetools.py: Window handover is not optimal as the cutoff is too close to the overlap. Decrease cutoff or increase overlap";
static const char __pyx_k_ERROR_Wavetools_py_Wrong_functio[] = "ERROR! Wavetools.py: Wrong function type (%s) given: Valid wavetypes are %s";
static const char __pyx_k_ERROR_Wavetools_py_Ycoeff_and_Bc[] = "ERROR! Wavetools.py: Ycoeff and Bcoeff must have the same length and equal to Nf and the 1st order harmonic must not be zero";
static const char __pyx_k_ERROR_Wavetools_py_You_are_not_r[] = "ERROR! Wavetools.py: You are not really using more than 1000 Fourier modes for a regular wave, right? ";
static const char __pyx_k_ERROR_Wavetools_py_eta_and_u_fun[] = "ERROR! Wavetools.py: eta and u functions not available for this class. Please use RandomNLWavesFast for generating random waves with nonlinear correction";
static const char __pyx_k_ERROR_Wavetools_py_phi_in_Direct[] = "ERROR! Wavetools.py: phi in DirectionalWaves class must be given either as None or as a list with 2*M + 1 numpy arrays with length N";
static const char __pyx_k_ERROR_Wavetools_pyx_Argument_mod[] = "ERROR! Wavetools.pyx: Argument mode in RandomNLWaves.writeEtaSeries should be \"all\", \"setup\", \"short\", \"long\" or \"linear\"";
static const char __pyx_k_ERROR_Wrong_wavetype_given_Valid[] = "ERROR!!: Wrong wavetype given: Valid wavetypes are %s";
static const char __pyx_k_INFO_Calculating_nonlinear_corre[] = "INFO: Calculating nonlinear corrections for ";
static const char __pyx_k_INFO_WaveTools_py_Cutoff_entry_i[] = "INFO WaveTools.py: Cutoff entry in window_params dictionary not found. Setting default value of 0.1 (1/10 of the window length)";
static const char __pyx_k_INFO_WaveTools_py_Not_constant_s[] = "INFO WaveTools.py: Not constant sampling rate found, proceeding to signal interpolation to a constant sampling rate";
static const char __pyx_k_INFO_WaveTools_py_performing_a_d[] = "INFO: WaveTools.py: performing a direct series decomposition";
static const char __pyx_k_INFO_WaveTools_py_performing_ser[] = "INFO WaveTools.py: performing series decomposition with spectral windows";
static const char __pyx_k_INFO_Wavetools_py_Checking_durat[] = "INFO: Wavetools.py: Checking duration of windowed time series: %s per cent difference from original duration";
static const char __pyx_k_INFO_Wavetools_py_Correcting_win[] = "INFO: Wavetools.py: Correcting window duration for matching the exact time range of the series. Window duration correspond to %s waves approx.";
static const char __pyx_k_INFO_Wavetools_py_No_phase_array[] = "INFO Wavetools.py: No phase array is given. Assigning random phases. Outputing the phasing of the random waves";
static const char __pyx_k_INFO_Wavetools_py_Reading_spectr[] = "INFO Wavetools.py: Reading spectra No %s";
static const char __pyx_k_INFO_Wavetools_py_Using_s_window[] = "INFO: Wavetools.py: Using %s windows for reconstruction with %s sec duration and %s per cent overlap";
static const char __pyx_k_Incompatible_checksums_0x_x_vs_0[] = "Incompatible checksums (0x%x vs (0xe2264c7, 0x4153f8a, 0xe106827) = (U, mwl, ramp))";
static const char __pyx_k_MonochromaticWaves___reduce_cyth[] = "MonochromaticWaves.__reduce_cython__";
static const char __pyx_k_MonochromaticWaves___setstate_cy[] = "MonochromaticWaves.__setstate_cython__";
static const char __pyx_k_MultiSpectraRandomWaves___reduce[] = "MultiSpectraRandomWaves.__reduce_cython__";
static const char __pyx_k_MultiSpectraRandomWaves___setsta[] = "MultiSpectraRandomWaves.__setstate_cython__";
static const char __pyx_k_Tools_for_working_with_water_wav[] = "Tools for working with water waves.\n\nThe primary objective of this module is to provide solutions (exact and\napproximate) for the free surface deformation and subsurface velocity\ncomponents of water waves. These can be used as boundary conditions, wave\ngeneration sources, and validation solutions for numerical wave codes.\n";
static const char __pyx_k_Wave_direction_is_not_perpendicu[] = "Wave direction is not perpendicular to gravity vector. Check input";
static const char __pyx_k_Wavetools_py_Provide_valid_depth[] = "Wavetools:py. Provide valid depth definition definition for TMA spectrum";
static const char __pyx_k_Wavetools_py_Stopping_simulation[] = "Wavetools:py. Stopping simulation";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_self_T0__self__cpp_eta_self__cpp[] = "self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling";
static const char __pyx_k_self_ai__self_kDir__self_ki__sel[] = "self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling";
static const char __pyx_k_This_class_is_used_for_generati_2[] = "\n    This class is used for generating plane random waves with 2ns order correction in an optimised manner\n    using linear reconstruction of components from a wave spectrum\n\n    Parameters\n    ----------\n    Tstart : float\n             Start time            \n    Tend : float\n             End time            \n    x0 : numpy.ndarray\n             Position vector for the time series            \n    Tp : float\n             Peak wave period            \n    Hs : float\n             Significant wave height            \n    mwl : float\n             Still water level            \n    depth : float\n             Water depth            \n    waveDir : np.ndarray\n             Wave direction vector            \n    g : Numpy array\n             Gravitational acceleration vector            \n    N : int\n             Number of frequency components\n    bandFactor : float\n             Spectral band factor. fmax = bandFactor/Tp, fmin = 1/(bandFactor*Tp)           \n    spectName : string\n             Name of spectral distribution\n    spectral_params : dict\n             Dictionary of arguments specific to the spectral distribution\n            Example for JONSWAP = {\"gamma\": 3.3, \"TMA\":True,\"depth\": depth}\n            TMA=True activates the TMA modification, which in turn needs the depth as a parameter            \n    phi : numpy.ndarray\n             Component phases (if set to None, phases are picked at random)\n            \n    Lgen : numpy.ndarray\n             Length of the generation zone (np.array([0., 0., 0.]) by default\n            \n    Nwaves : int\n             Number of waves per window\n    Nfreq : int\n             Number of Fourier components per window\n    NLongw : int\n             Estmated ratio of long wave period to Tp\n    fast : bool\n             Switch for enabling optimised functions \n    ";
static const char __pyx_k_ERROR_Each_input_list_entry_shou_2[] = "ERROR!: Each input list entry should be a waveTools function with a u function";
static const char __pyx_k_ERROR_WaveTools_py_Dictionary_ke_2[] = "ERROR! WaveTools.py: Dictionary key 'Tm' (mean or characteristic wave period) not found in window_params dictionary";
static const char __pyx_k_ERROR_WaveTools_py_Dictionary_ke_3[] = "ERROR! WaveTools.py: Dictionary key 'Window' (window function type) not found in window_params dictionary";
static const char __pyx_k_ERROR_Wavetools_py_Additional_sp_2[] = "ERROR! Wavetools.py: Additional spread parameters are not valid for the %s spectrum";
static const char __pyx_k_ERROR_Wavetools_py_Location_vect_2[] = "ERROR! Wavetools.py: Location vector for timeSeries must have three-components";
static const char __pyx_k_ERROR_Wavetools_py_Maximum_numbe_2[] = "ERROR! Wavetools.py: Maximum (number of frequencies) x (No of spectra) for MultispectraRandomWaves is 10000 ";
static const char __pyx_k_ERROR_Wavetools_py_Maximum_numbe_3[] = "ERROR! Wavetools.py: Maximum (number of frequencies) x (No of spectra) for DirectionalWaves is 100000 ";
static const char __pyx_k_Incompatible_checksums_0x_x_vs_0_2[] = "Incompatible checksums (0x%x vs (0x9a37670, 0xebc478b, 0x6d927ea) = (H, K, c, d2, d3, depth, fast, g, gAbs, mwl, trans, vDir, waveDir))";
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static PyObject *__pyx_n_s_CombineWaves;
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static PyObject *__pyx_n_s_CombineWaves_u;
static PyObject *__pyx_n_s_Comm;
static PyObject *__pyx_n_s_Cutoff;
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static PyObject *__pyx_kp_s_Direct_reconstruction;
static PyObject *__pyx_n_s_DirectionalWaves;
static PyObject *__pyx_n_s_DirectionalWaves___reduce_cython;
static PyObject *__pyx_n_s_DirectionalWaves___setstate_cyth;
static PyObject *__pyx_n_s_DirectionalWaves_eta;
static PyObject *__pyx_n_s_DirectionalWaves_u;
static PyObject *__pyx_kp_s_ERROR_Custom_parameters_not_set;
static PyObject *__pyx_kp_s_ERROR_Each_input_list_entry_shou;
static PyObject *__pyx_kp_s_ERROR_Each_input_list_entry_shou_2;
static PyObject *__pyx_kp_s_ERROR_Number_of_Fourier_modes_is;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Dictionary_ke;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Dictionary_ke_2;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Dictionary_ke_3;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Found_large_e;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Found_not_con;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Found_too_few;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Reconstructio;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Relaxation_zo;
static PyObject *__pyx_kp_s_ERROR_WaveTools_py_Set_parameter;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Additional_sp;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Additional_sp_2;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_File_s_must_b;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Location_vect;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Location_vect_2;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Maximum_numbe;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Maximum_numbe_2;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Maximum_numbe_3;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Parameters_pa;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Phase_array_m;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_SteadyCurrent;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Timeseries_fi;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Wavelenght_is;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Window_handov;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Wrong_functio;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_Ycoeff_and_Bc;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_You_are_not_r;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_eta_and_u_fun;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_meanVelocity;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_phi_argument;
static PyObject *__pyx_kp_s_ERROR_Wavetools_py_phi_in_Direct;
static PyObject *__pyx_kp_s_ERROR_Wavetools_pyx_Argument_mod;
static PyObject *__pyx_kp_s_ERROR_Wrong_wavetype_given_Valid;
static PyObject *__pyx_kp_s_End_time;
static PyObject *__pyx_kp_s_Er1;
static PyObject *__pyx_n_s_Etaoverall;
static PyObject *__pyx_n_s_EtasetUp;
static PyObject *__pyx_n_s_Fenton;
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static PyObject *__pyx_n_s_Hs_2;
static PyObject *__pyx_kp_s_INFO_Calculating_nonlinear_corre;
static PyObject *__pyx_kp_s_INFO_WaveTools_py_Cutoff_entry_i;
static PyObject *__pyx_kp_s_INFO_WaveTools_py_Not_constant_s;
static PyObject *__pyx_kp_s_INFO_WaveTools_py_Overlap_entry;
static PyObject *__pyx_kp_s_INFO_WaveTools_py_performing_a_d;
static PyObject *__pyx_kp_s_INFO_WaveTools_py_performing_ser;
static PyObject *__pyx_kp_s_INFO_Wavetools_py_Checking_durat;
static PyObject *__pyx_kp_s_INFO_Wavetools_py_Correcting_win;
static PyObject *__pyx_kp_s_INFO_Wavetools_py_No_phase_array;
static PyObject *__pyx_kp_s_INFO_Wavetools_py_Reading_spectr;
static PyObject *__pyx_kp_s_INFO_Wavetools_py_Using_s_window;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_0x_x_vs_0;
static PyObject *__pyx_kp_s_Incompatible_checksums_0x_x_vs_0_2;
static PyObject *__pyx_n_s_JONSWAP;
static PyObject *__pyx_n_s_K;
static PyObject *__pyx_n_s_Lgen;
static PyObject *__pyx_n_s_Linear;
static PyObject *__pyx_n_s_M;
static PyObject *__pyx_n_s_MonochromaticWaves;
static PyObject *__pyx_n_s_MonochromaticWaves___reduce_cyth;
static PyObject *__pyx_n_s_MonochromaticWaves___setstate_cy;
static PyObject *__pyx_n_s_MonochromaticWaves_eta;
static PyObject *__pyx_n_s_MonochromaticWaves_u;
static PyObject *__pyx_n_s_MultiSpectraRandomWaves;
static PyObject *__pyx_n_s_MultiSpectraRandomWaves___reduce;
static PyObject *__pyx_n_s_MultiSpectraRandomWaves___setsta;
static PyObject *__pyx_n_s_MultiSpectraRandomWaves_eta;
static PyObject *__pyx_n_s_MultiSpectraRandomWaves_u;
static PyObject *__pyx_n_s_N;
static PyObject *__pyx_n_s_NLongW;
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static PyObject *__pyx_n_s_NewWave_u;
static PyObject *__pyx_n_s_NewWave_writeEtaSeries;
static PyObject *__pyx_n_s_Nf;
static PyObject *__pyx_n_s_Nfreq;
static PyObject *__pyx_n_s_Nmax;
static PyObject *__pyx_n_s_Np;
static PyObject *__pyx_n_s_Nseries;
static PyObject *__pyx_n_s_Nspectra;
static PyObject *__pyx_kp_s_Number_of_windows;
static PyObject *__pyx_n_s_Nwaves;
static PyObject *__pyx_n_s_Nwaves_tot;
static PyObject *__pyx_n_s_Nwind;
static PyObject *__pyx_n_s_Overlap;
static PyObject *__pyx_n_s_PM_mod;
static PyObject *__pyx_n_s_Period;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_Profiling;
static PyObject *__pyx_n_s_RW;
static PyObject *__pyx_n_s_RandomNLWaves;
static PyObject *__pyx_n_s_RandomNLWavesFast;
static PyObject *__pyx_n_s_RandomNLWavesFast___init;
static PyObject *__pyx_n_s_RandomNLWavesFast_eta;
static PyObject *__pyx_n_s_RandomNLWavesFast_u;
static PyObject *__pyx_n_s_RandomNLWaves___reduce_cython;
static PyObject *__pyx_n_s_RandomNLWaves___setstate_cython;
static PyObject *__pyx_n_s_RandomNLWaves_eta_2ndOrder;
static PyObject *__pyx_n_s_RandomNLWaves_eta_long;
static PyObject *__pyx_n_s_RandomNLWaves_eta_overall;
static PyObject *__pyx_n_s_RandomNLWaves_eta_setUp;
static PyObject *__pyx_n_s_RandomNLWaves_eta_short;
static PyObject *__pyx_n_s_RandomNLWaves_writeEtaSeries;
static PyObject *__pyx_n_s_RandomNLWaves_wtError;
static PyObject *__pyx_n_s_RandomSeries;
static PyObject *__pyx_n_s_RandomWaves;
static PyObject *__pyx_n_s_RandomWavesFast;
static PyObject *__pyx_n_s_RandomWavesFast___init;
static PyObject *__pyx_n_s_RandomWavesFast_printOut;
static PyObject *__pyx_n_s_RandomWaves___reduce_cython;
static PyObject *__pyx_n_s_RandomWaves___setstate_cython;
static PyObject *__pyx_n_s_RandomWaves_eta;
static PyObject *__pyx_n_s_RandomWaves_u;
static PyObject *__pyx_n_s_RandomWaves_writeEtaSeries;
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static PyObject *__pyx_n_s_SolitaryWave___reduce_cython;
static PyObject *__pyx_n_s_SolitaryWave___setstate_cython;
static PyObject *__pyx_n_s_SolitaryWave_eta;
static PyObject *__pyx_n_s_SolitaryWave_u;
static PyObject *__pyx_n_s_SpatialTools;
static PyObject *__pyx_kp_s_Start_Time;
static PyObject *__pyx_n_s_SteadyCurrent;
static PyObject *__pyx_n_s_SteadyCurrent___reduce_cython;
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static PyObject *__pyx_n_s_SteadyCurrent_u;
static PyObject *__pyx_n_s_TMA;
static PyObject *__pyx_n_s_TOverlap;
static PyObject *__pyx_n_s_TS;
static PyObject *__pyx_n_s_TWindow;
static PyObject *__pyx_n_s_Tend;
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static PyObject *__pyx_kp_s_This_class_is_used_for_generati;
static PyObject *__pyx_kp_s_This_class_is_used_for_generati_2;
static PyObject *__pyx_n_s_TimeSeries;
static PyObject *__pyx_n_s_TimeSeries___reduce_cython;
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static PyObject *__pyx_n_s_TimeSeries_etaDirect;
static PyObject *__pyx_n_s_TimeSeries_etaWindow;
static PyObject *__pyx_n_s_TimeSeries_findWindow;
static PyObject *__pyx_n_s_TimeSeries_uDirect;
static PyObject *__pyx_n_s_TimeSeries_uWindow;
static PyObject *__pyx_n_s_TimeSeries_windOut;
static PyObject *__pyx_n_s_Tlag;
static PyObject *__pyx_n_s_Tm;
static PyObject *__pyx_n_s_Tmax;
static PyObject *__pyx_n_s_Tp;
static PyObject *__pyx_n_s_Tp_2;
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static PyObject *__pyx_n_s_Tstart_temp;
static PyObject *__pyx_n_s_TypeError;
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static PyObject *__pyx_n_s_UV;
static PyObject *__pyx_n_s_Udrift;
static PyObject *__pyx_n_s_Uhorz;
static PyObject *__pyx_n_s_Uvert;
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static PyObject *__pyx_n_s_WaveTools;
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static PyObject *__pyx_kp_s_Wavetools_py_Provide_valid_depth;
static PyObject *__pyx_kp_s_Wavetools_py_Stopping_simulation;
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static PyObject *__pyx_kp_s__52;
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static PyObject *__pyx_n_s_all_2;
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static PyObject *__pyx_n_s_amplitude;
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static PyObject *__pyx_n_s_autoFentonOpts;
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static PyObject *__pyx_n_s_barrier;
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static PyObject *__pyx_n_s_builtins;
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static PyObject *__pyx_n_s_checkAcc;
static PyObject *__pyx_n_s_cinit___locals_genexpr;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_close;
static PyObject *__pyx_n_s_cmat;
static PyObject *__pyx_n_s_cmath;
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static PyObject *__pyx_n_s_condition;
static PyObject *__pyx_n_s_conv_crit;
static PyObject *__pyx_n_s_copyFiles;
static PyObject *__pyx_n_s_cos;
static PyObject *__pyx_n_s_cos2s;
static PyObject *__pyx_n_s_coshkzd_test;
static PyObject *__pyx_n_s_costap;
static PyObject *__pyx_n_s_cppU;
static PyObject *__pyx_n_s_crestFocus;
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static PyObject *__pyx_n_s_current_criterion;
static PyObject *__pyx_n_s_current_magnitude;
static PyObject *__pyx_n_s_custom;
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static PyObject *__pyx_n_s_cutoff;
static PyObject *__pyx_n_s_cutoffTotal;
static PyObject *__pyx_n_s_cutoff_win;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_n_s_decompose_tseries;
static PyObject *__pyx_n_s_delimiter;
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static PyObject *__pyx_n_s_depth_2;
static PyObject *__pyx_n_s_df;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_dict_2;
static PyObject *__pyx_n_s_dirCheck;
static PyObject *__pyx_n_s_dircheck;
static PyObject *__pyx_n_s_dispersion;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_dom;
static PyObject *__pyx_n_s_dt;
static PyObject *__pyx_n_s_duration;
static PyObject *__pyx_n_s_er1;
static PyObject *__pyx_n_s_errors;
static PyObject *__pyx_n_s_eta;
static PyObject *__pyx_n_s_etaCheck;
static PyObject *__pyx_n_s_etaDirect;
static PyObject *__pyx_n_s_etaR;
static PyObject *__pyx_n_s_etaWindow;
static PyObject *__pyx_n_s_eta_2ndOrder;
static PyObject *__pyx_n_s_eta_long;
static PyObject *__pyx_n_s_eta_mode;
static PyObject *__pyx_n_s_eta_overall;
static PyObject *__pyx_n_s_eta_setUp;
static PyObject *__pyx_n_s_eta_short;
static PyObject *__pyx_n_s_exit;
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static PyObject *__pyx_n_s_fast;
static PyObject *__pyx_n_s_fastcos_test;
static PyObject *__pyx_n_s_fastcosh_test;
static PyObject *__pyx_n_s_fastsinh_test;
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static PyObject *__pyx_n_s_fft_x;
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static PyObject *__pyx_n_s_fim_tmp;
static PyObject *__pyx_n_s_findWindow;
static PyObject *__pyx_n_s_fname;
static PyObject *__pyx_n_s_freq;
static PyObject *__pyx_n_s_freq_S;
static PyObject *__pyx_n_s_freq_array;
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static PyObject *__pyx_n_s_func;
static PyObject *__pyx_n_s_funcName;
static PyObject *__pyx_n_s_funcNames;
static PyObject *__pyx_n_s_func_ret;
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static PyObject *__pyx_n_s_gAbs;
static PyObject *__pyx_n_s_gamma;
static PyObject *__pyx_n_s_genexpr;
static PyObject *__pyx_n_s_get;
static PyObject *__pyx_n_s_getBYCoeffs;
static PyObject *__pyx_n_s_getWavelength;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_height_steps;
static PyObject *__pyx_n_s_ho;
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static PyObject *__pyx_n_s_i1;
static PyObject *__pyx_n_s_i2;
static PyObject *__pyx_n_s_iend;
static PyObject *__pyx_n_s_ii;
static PyObject *__pyx_n_s_import;
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static PyObject *__pyx_n_s_interp;
static PyObject *__pyx_n_s_isMaster;
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static PyObject *__pyx_n_s_jj;
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static PyObject *__pyx_n_s_kAbs;
static PyObject *__pyx_n_s_kDir;
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static PyObject *__pyx_n_s_level;
static PyObject *__pyx_n_s_linalg;
static PyObject *__pyx_n_s_linear;
static PyObject *__pyx_n_s_linspace;
static PyObject *__pyx_n_s_loadExistingFunction;
static PyObject *__pyx_n_s_loadtxt;
static PyObject *__pyx_n_s_log;
static PyObject *__pyx_n_s_logEvent;
static PyObject *__pyx_n_s_logFile;
static PyObject *__pyx_n_s_long;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_mean;
static PyObject *__pyx_n_s_meanVelocity;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_mitsuyasu;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_modes;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_mwl;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_ncoeffs;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_nfft;
static PyObject *__pyx_n_s_niter;
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static PyObject *__pyx_n_s_norm;
static PyObject *__pyx_n_s_normIntegral;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_npoints;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_old_div;
static PyObject *__pyx_n_s_omega;
static PyObject *__pyx_n_s_omega0;
static PyObject *__pyx_n_s_ones;
static PyObject *__pyx_n_s_open;
static PyObject *__pyx_n_s_overl;
static PyObject *__pyx_n_s_past_utils;
static PyObject *__pyx_n_s_period;
static PyObject *__pyx_n_s_periods;
static PyObject *__pyx_n_s_phase;
static PyObject *__pyx_n_s_phi;
static PyObject *__pyx_n_s_phi0;
static PyObject *__pyx_n_s_phiSymm;
static PyObject *__pyx_n_s_pi;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_points_freesurface;
static PyObject *__pyx_n_s_points_velocity;
static PyObject *__pyx_n_s_points_vertical;
static PyObject *__pyx_n_s_pp;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_printOut;
static PyObject *__pyx_n_s_proteus;
static PyObject *__pyx_kp_s_proteus_WaveTools_py;
static PyObject *__pyx_n_s_proteus_fenton;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_SolitaryWave;
static PyObject *__pyx_n_s_pyx_unpickle_SteadyCurrent;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_rampTime;
static PyObject *__pyx_n_s_rand;
static PyObject *__pyx_n_s_random;
static PyObject *__pyx_n_s_randomNLWaves;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_real;
static PyObject *__pyx_n_s_rec_d;
static PyObject *__pyx_n_s_rec_direct;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduceToIntervals;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_results;
static PyObject *__pyx_n_s_returnRectangles;
static PyObject *__pyx_n_s_returnRectangles3D;
static PyObject *__pyx_n_s_rotation3D;
static PyObject *__pyx_n_s_round;
static PyObject *__pyx_n_s_runFourier;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_savetxt;
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static PyObject *__pyx_kp_s_self_Bcoeff__self_Ycoeff__self;
static PyObject *__pyx_kp_s_self_T0__self__cpp_eta_self__cpp;
static PyObject *__pyx_kp_s_self_ai__self_kDir__self_ki__sel;
static PyObject *__pyx_n_s_send;
static PyObject *__pyx_n_s_series;
static PyObject *__pyx_n_s_seriesArray;
static PyObject *__pyx_n_s_setDirVector;
static PyObject *__pyx_n_s_setUp;
static PyObject *__pyx_n_s_setVertDir;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_setup;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_short;
static PyObject *__pyx_n_s_sigma;
static PyObject *__pyx_n_s_sigmaReturn;
static PyObject *__pyx_n_s_sinh;
static PyObject *__pyx_n_s_sinhkzd_test;
static PyObject *__pyx_n_s_sinus;
static PyObject *__pyx_n_s_skiprows;
static PyObject *__pyx_n_s_smax;
static PyObject *__pyx_n_s_spectName;
static PyObject *__pyx_n_s_spectral_params;
static PyObject *__pyx_n_s_spreadName;
static PyObject *__pyx_n_s_spread_params;
static PyObject *__pyx_n_s_sqrt;
static PyObject *__pyx_n_s_state;
static PyObject *__pyx_n_s_str;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_t;
static PyObject *__pyx_n_s_tanh;
static PyObject *__pyx_n_s_te;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_tfocus;
static PyObject *__pyx_n_s_theta;
static PyObject *__pyx_n_s_throw;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_n_s_timeSeriesFile;
static PyObject *__pyx_n_s_timeSeriesPosition;
static PyObject *__pyx_n_s_timelst;
static PyObject *__pyx_n_s_tma;
static PyObject *__pyx_n_s_tolist;
static PyObject *__pyx_n_s_tophat;
static PyObject *__pyx_n_s_trans;
static PyObject *__pyx_n_s_ts;
static PyObject *__pyx_n_s_tt;
static PyObject *__pyx_kp_s_txt;
static PyObject *__pyx_n_s_u;
static PyObject *__pyx_n_s_uCheck;
static PyObject *__pyx_n_s_uDirect;
static PyObject *__pyx_n_s_uR;
static PyObject *__pyx_n_s_uWindow;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_use_setstate;
static PyObject *__pyx_n_s_v1;
static PyObject *__pyx_n_s_v2;
static PyObject *__pyx_n_s_vDir;
static PyObject *__pyx_n_s_validFunctions;
static PyObject *__pyx_n_s_vector;
static PyObject *__pyx_n_s_vel_mode;
static PyObject *__pyx_n_s_w;
static PyObject *__pyx_n_s_w_aux;
static PyObject *__pyx_n_s_waveDir;
static PyObject *__pyx_n_s_waveDir0;
static PyObject *__pyx_n_s_waveHeight;
static PyObject *__pyx_n_s_waveList;
static PyObject *__pyx_n_s_waveType;
static PyObject *__pyx_n_s_waveheight;
static PyObject *__pyx_n_s_wavelength;
static PyObject *__pyx_kp_s_waves_This_may_take_a_while;
static PyObject *__pyx_n_s_where;
static PyObject *__pyx_n_s_wind;
static PyObject *__pyx_n_s_windOut;
static PyObject *__pyx_n_s_window_params;
static PyObject *__pyx_n_s_windows;
static PyObject *__pyx_n_s_writeEtaSeries;
static PyObject *__pyx_n_s_writeInput;
static PyObject *__pyx_n_s_wtError;
static PyObject *__pyx_n_s_ww;
static PyObject *__pyx_n_s_wwi_setUp;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x0;
static PyObject *__pyx_n_s_xfocus;
static PyObject *__pyx_n_s_xx;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zip;
static PyObject *__pyx_pf_9WaveTools_fastcos_test(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_phase, PyObject *__pyx_v_sinus); /* proto */
static PyObject *__pyx_pf_9WaveTools_2fastcosh_test(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_k, PyObject *__pyx_v_Z, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_4fastsinh_test(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_k, PyObject *__pyx_v_Z, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_6coshkzd_test(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_k, PyObject *__pyx_v_Z, PyObject *__pyx_v_d, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_8sinhkzd_test(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_k, PyObject *__pyx_v_Z, PyObject *__pyx_v_d, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_10loadExistingFunction(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_funcName, PyObject *__pyx_v_validFunctions); /* proto */
static PyObject *__pyx_pf_9WaveTools_12setVertDir(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_g); /* proto */
static PyObject *__pyx_pf_9WaveTools_14setDirVector(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_vector); /* proto */
static PyObject *__pyx_pf_9WaveTools_16dirCheck(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_v1, PyObject *__pyx_v_v2); /* proto */
static PyObject *__pyx_pf_9WaveTools_18reduceToIntervals(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_fi, PyObject *__pyx_v_df); /* proto */
static PyObject *__pyx_pf_9WaveTools_20returnRectangles(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_9WaveTools_22returnRectangles3D(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_9WaveTools_24normIntegral(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_f, PyObject *__pyx_v_dom); /* proto */
static PyObject *__pyx_pf_9WaveTools_26eta_mode(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t, PyObject *__pyx_v_kDir, PyObject *__pyx_v_omega, PyObject *__pyx_v_phi, PyObject *__pyx_v_amplitude); /* proto */
static PyObject *__pyx_pf_9WaveTools_28Udrift(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_amp, PyObject *__pyx_v_gAbs, PyObject *__pyx_v_c, PyObject *__pyx_v_d); /* proto */
static PyObject *__pyx_pf_9WaveTools_30vel_mode(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t, PyObject *__pyx_v_kDir, PyObject *__pyx_v_kAbs, PyObject *__pyx_v_omega, PyObject *__pyx_v_phi, PyObject *__pyx_v_amplitude, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_vDir, PyObject *__pyx_v_gAbs); /* proto */
static PyObject *__pyx_pf_9WaveTools_32sigma(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_omega, PyObject *__pyx_v_omega0); /* proto */
static PyObject *__pyx_pf_9WaveTools_34custom(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_36JONSWAP(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_f, PyObject *__pyx_v_f0, PyObject *__pyx_v_Hs, PyObject *__pyx_v_gamma, PyObject *__pyx_v_TMA, PyObject *__pyx_v_depth); /* proto */
static PyObject *__pyx_pf_9WaveTools_38PM_mod(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_f, PyObject *__pyx_v_f0, PyObject *__pyx_v_Hs); /* proto */
static PyObject *__pyx_pf_9WaveTools_40cos2s(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_theta, PyObject *__pyx_v_f, PyObject *__pyx_v_s); /* proto */
static PyObject *__pyx_pf_9WaveTools_42mitsuyasu(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_theta, PyObject *__pyx_v_fi, PyObject *__pyx_v_f0, PyObject *__pyx_v_smax); /* proto */
static PyObject *__pyx_pf_9WaveTools_44dispersion(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_w, PyObject *__pyx_v_d, PyObject *__pyx_v_g, PyObject *__pyx_v_niter); /* proto */
static PyObject *__pyx_pf_9WaveTools_46tophat(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_l, PyObject *__pyx_v_cutoff); /* proto */
static PyObject *__pyx_pf_9WaveTools_48costap(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_l, PyObject *__pyx_v_cutoff); /* proto */
static PyObject *__pyx_pf_9WaveTools_50decompose_tseries(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_time, PyObject *__pyx_v_eta, PyObject *__pyx_v_dt); /* proto */
static int __pyx_pf_9WaveTools_13SteadyCurrent___init__(struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self, PyObject *__pyx_v_U, PyObject *__pyx_v_mwl, PyObject *__pyx_v_rampTime); /* proto */
static PyObject *__pyx_pf_9WaveTools_13SteadyCurrent_2eta(CYTHON_UNUSED struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x, CYTHON_UNUSED PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13SteadyCurrent_4u(struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13SteadyCurrent_3mwl___get__(struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_13SteadyCurrent_3mwl_2__set__(struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_13SteadyCurrent_6__reduce_cython__(struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_13SteadyCurrent_8__setstate_cython__(struct __pyx_obj_9WaveTools_SteadyCurrent *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9WaveTools_12SolitaryWave___init__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self, PyObject *__pyx_v_waveHeight, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_g, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_trans, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_12SolitaryWave_2eta(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_12SolitaryWave_4u(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_12SolitaryWave_3mwl___get__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_12SolitaryWave_3mwl_2__set__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_12SolitaryWave_1c___get__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_12SolitaryWave_1c_2__set__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_12SolitaryWave_6__reduce_cython__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_12SolitaryWave_8__setstate_cython__(struct __pyx_obj_9WaveTools_SolitaryWave *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9WaveTools_18MonochromaticWaves___init__(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, PyObject *__pyx_v_period, PyObject *__pyx_v_waveHeight, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_g, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_wavelength, PyObject *__pyx_v_waveType, PyObject *__pyx_v_autoFenton, PyObject *__pyx_v_autoFentonOpts, PyObject *__pyx_v_Ycoeff, PyObject *__pyx_v_Bcoeff, PyObject *__pyx_v_Nf, PyObject *__pyx_v_meanVelocity, PyObject *__pyx_v_phi0, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_18MonochromaticWaves_2eta(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_18MonochromaticWaves_4u(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_18MonochromaticWaves_10wavelength___get__(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_18MonochromaticWaves_10wavelength_2__set__(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_18MonochromaticWaves_3mwl___get__(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_18MonochromaticWaves_3mwl_2__set__(struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_18MonochromaticWaves_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_18MonochromaticWaves_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_MonochromaticWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_9__cinit___genexpr(PyObject *__pyx_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave___cinit__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spectral_params, CYTHON_UNUSED PyObject *__pyx_v_crestFocus, PyObject *__pyx_v_xfocus, PyObject *__pyx_v_tfocus, PyObject *__pyx_v_fast, PyObject *__pyx_v_Nmax); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2eta(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_4u(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_6writeEtaSeries(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_Tstart, PyObject *__pyx_v_Tend, PyObject *__pyx_v_x0, PyObject *__pyx_v_fname, PyObject *__pyx_v_Lgen); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_3mwl___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_3mwl_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_5depth___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5depth_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_4gAbs___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_4gAbs_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_4Tlag___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_4Tlag_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2Hs___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2Hs_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2Tp___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2Tp_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2fp___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2fp_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_10bandFactor___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_10bandFactor_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2df___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2df_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_5focus___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5focus_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_6tfocus___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_6tfocus_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_1N___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_1N_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2fi___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2fi_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2fi_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_3fim___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_3fim_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_3fim_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_5Si_Jm___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5Si_Jm_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5Si_Jm_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2ki___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2ki_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2ki_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_5omega___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5omega_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5omega_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_5tanhF___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5tanhF_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_5tanhF_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_1g___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_1g_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_1g_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_7waveDir___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_7waveDir_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_7waveDir_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_4vDir___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_4vDir_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_4vDir_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_4kDir___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_4kDir_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_4kDir_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_2ai___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2ai_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_2ai_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_3phi___get__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_3phi_2__set__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_7NewWave_3phi_4__del__(struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_7NewWave_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_NewWave *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves___cinit__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spectral_params, PyObject *__pyx_v_phi, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2eta(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_4u(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_6writeEtaSeries(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_Tstart, PyObject *__pyx_v_Tend, PyObject *__pyx_v_x0, PyObject *__pyx_v_fname, PyObject *__pyx_v_Lgen); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_3mwl___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_3mwl_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_5depth___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5depth_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_4gAbs___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_4gAbs_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_4Tlag___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_4Tlag_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2Hs___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2Hs_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2Tp___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2Tp_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2fp___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2fp_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_10bandFactor___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_10bandFactor_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2df___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2df_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_10wavelength___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_10wavelength_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_1N___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_1N_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2fi___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2fi_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2fi_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_3fim___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_3fim_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_3fim_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_5Si_Jm___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5Si_Jm_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5Si_Jm_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2ki___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2ki_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2ki_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_5omega___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5omega_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5omega_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_5tanhF___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5tanhF_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_5tanhF_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_1g___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_1g_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_1g_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_7waveDir___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_7waveDir_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_7waveDir_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_4vDir___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_4vDir_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_4vDir_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_4kDir___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_4kDir_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_4kDir_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_2ai___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2ai_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_2ai_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_3phi___get__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_3phi_2__set__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_11RandomWaves_3phi_4__del__(struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_11RandomWaves_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_RandomWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9WaveTools_23MultiSpectraRandomWaves___cinit__(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, PyObject *__pyx_v_Nspectra, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spectral_params, PyObject *__pyx_v_phi, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_23MultiSpectraRandomWaves_2eta(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_23MultiSpectraRandomWaves_4u(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_23MultiSpectraRandomWaves_3mwl___get__(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_23MultiSpectraRandomWaves_3mwl_2__set__(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_23MultiSpectraRandomWaves_5depth___get__(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_23MultiSpectraRandomWaves_5depth_2__set__(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_23MultiSpectraRandomWaves_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_23MultiSpectraRandomWaves_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9WaveTools_16DirectionalWaves___cinit__(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, PyObject *__pyx_v_M, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir0, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spreadName, PyObject *__pyx_v_spectral_params, PyObject *__pyx_v_spread_params, PyObject *__pyx_v_phi, PyObject *__pyx_v_phiSymm, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_16DirectionalWaves_2eta(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_16DirectionalWaves_4u(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_16DirectionalWaves_3mwl___get__(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_16DirectionalWaves_3mwl_2__set__(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_16DirectionalWaves_5depth___get__(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_16DirectionalWaves_5depth_2__set__(struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_16DirectionalWaves_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_16DirectionalWaves_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_DirectionalWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries___init__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_timeSeriesFile, PyObject *__pyx_v_skiprows, PyObject *__pyx_v_timeSeriesPosition, PyObject *__pyx_v_depth, PyObject *__pyx_v_N, PyObject *__pyx_v_mwl, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_cutoffTotal, PyObject *__pyx_v_rec_direct, PyObject *__pyx_v_window_params, PyObject *__pyx_v_arrayData, PyObject *__pyx_v_seriesArray, PyObject *__pyx_v_Lgen, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_2windOut(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_4etaDirect(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_6uDirect(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_8findWindow(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_10etaWindow(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_12uWindow(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_10wavelength___get__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries_10wavelength_2__set__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_3mwl___get__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries_3mwl_2__set__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_3eta___get__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries_3eta_2__set__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries_3eta_4__del__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_1u___get__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries_1u_2__set__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_10TimeSeries_1u_4__del__(struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_14__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_10TimeSeries_16__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_TimeSeries *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9WaveTools_15RandomWavesFast___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_Tstart, PyObject *__pyx_v_Tend, PyObject *__pyx_v_x0, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spectral_params, PyObject *__pyx_v_phi, PyObject *__pyx_v_Lgen, PyObject *__pyx_v_Nwaves, PyObject *__pyx_v_Nfreq, PyObject *__pyx_v_checkAcc, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_15RandomWavesFast_2printOut(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves___init__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_Tstart, CYTHON_UNUSED PyObject *__pyx_v_Tend, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spectral_params, PyObject *__pyx_v_phi, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_2eta_2ndOrder(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_4eta_short(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_6eta_long(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_8eta_setUp(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x, CYTHON_UNUSED PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_10eta_overall(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t, PyObject *__pyx_v_setUp); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_12writeEtaSeries(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_Tstart, PyObject *__pyx_v_Tend, PyObject *__pyx_v_dt, PyObject *__pyx_v_x0, PyObject *__pyx_v_fname, PyObject *__pyx_v_mode, PyObject *__pyx_v_setUp, PyObject *__pyx_v_Lgen); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_14wtError(CYTHON_UNUSED struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_x, CYTHON_UNUSED PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_3eta___get__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves_3eta_2__set__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves_3eta_4__del__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_1u___get__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves_1u_2__set__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves_1u_4__del__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_10eta_linear___get__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves_10eta_linear_2__set__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_9WaveTools_13RandomNLWaves_10eta_linear_4__del__(struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_16__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_13RandomNLWaves_18__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9WaveTools_RandomNLWaves *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9WaveTools_56__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9WaveTools_17RandomNLWavesFast___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_Tstart, PyObject *__pyx_v_Tend, PyObject *__pyx_v_x0, PyObject *__pyx_v_Tp, PyObject *__pyx_v_Hs, PyObject *__pyx_v_mwl, PyObject *__pyx_v_depth, PyObject *__pyx_v_waveDir, PyObject *__pyx_v_g, PyObject *__pyx_v_N, PyObject *__pyx_v_bandFactor, PyObject *__pyx_v_spectName, PyObject *__pyx_v_spectral_params, PyObject *__pyx_v_phi, PyObject *__pyx_v_Lgen, PyObject *__pyx_v_Nwaves, PyObject *__pyx_v_Nfreq, PyObject *__pyx_v_NLongW, PyObject *__pyx_v_fast); /* proto */
static PyObject *__pyx_pf_9WaveTools_17RandomNLWavesFast_2eta(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_17RandomNLWavesFast_4u(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_12CombineWaves___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_waveList); /* proto */
static PyObject *__pyx_pf_9WaveTools_12CombineWaves_2eta(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_12CombineWaves_4u(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_t); /* proto */
static PyObject *__pyx_pf_9WaveTools_52__pyx_unpickle_SteadyCurrent(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9WaveTools_54__pyx_unpickle_SolitaryWave(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_9WaveTools_SteadyCurrent(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_SolitaryWave(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_MonochromaticWaves(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_NewWave(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_RandomWaves(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_MultiSpectraRandomWaves(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_DirectionalWaves(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_TimeSeries(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools_RandomNLWaves(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools___pyx_scope_struct____cinit__(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9WaveTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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/* Late includes */
 
/* "WaveTools.py":67
 * 
 * 
 * def fastcos_test(phase,sinus=False):             # <<<<<<<<<<<<<<
 *     """Fast cosine function with Taylor approximation - TO BE USED FOR TESTING"
 *     Parameters
 */
 
/* Python wrapper */
static PyObject *__pyx_pw_9WaveTools_1fastcos_test(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_9WaveTools_fastcos_test[] = "Fast cosine function with Taylor approximation - TO BE USED FOR TESTING\"\n    Parameters\n    ----------\n    phase : double\n            Phase  \n    sinus : bool\n            Switch for cosine or sine calculation\n    \n    Returns\n    --------\n    cos(phi) or sin(phi)\n\n    ";
static PyMethodDef __pyx_mdef_9WaveTools_1fastcos_test = {"fastcos_test", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_1fastcos_test, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_fastcos_test};
static PyObject *__pyx_pw_9WaveTools_1fastcos_test(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
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  PyObject *__pyx_v_sinus = 0;
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  int __pyx_clineno = 0;
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  __Pyx_RefNannyDeclarations
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 *            Switch for enabling optimised functions
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 * #        print("Test \n tanh:"+str(self.tanhKd)+"\n sinh \n"+str(self.sinhKd))
 *         for ij in range(self.N):             # <<<<<<<<<<<<<<
 *             for kk in range(3):
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 *         self.omega_ = self.omega_c             # <<<<<<<<<<<<<<
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 *         self.ki_  =self.ki_c             # <<<<<<<<<<<<<<
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 *         self.tanhKd_ = self.tanh_c
 *         self.sinhKd_ = self.sinh_c             # <<<<<<<<<<<<<<
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static PyMethodDef __pyx_methods_9WaveTools_SteadyCurrent[] = {
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  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13SteadyCurrent_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13SteadyCurrent_4u},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_13SteadyCurrent_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_13SteadyCurrent_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_SteadyCurrent[] = {
  {(char *)"mwl", __pyx_getprop_9WaveTools_13SteadyCurrent_mwl, __pyx_setprop_9WaveTools_13SteadyCurrent_mwl, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_SteadyCurrent = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.SteadyCurrent", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_SteadyCurrent), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_SteadyCurrent, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is used for generating a steady current\n\n    Parameters\n    ----------\n    U: numpy.ndarray\n            Current velocity in vector form\n    mwl : float\n            Still water level\n    rampTime : float\n            Ramp time for current\n\n            ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_SteadyCurrent, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_SteadyCurrent, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_SteadyCurrent, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_SteadyCurrent, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9WaveTools_13SteadyCurrent_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_SteadyCurrent, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
 
static PyObject *__pyx_tp_new_9WaveTools_SolitaryWave(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9WaveTools_SolitaryWave *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_SolitaryWave *)o);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->trans = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  return o;
}
 
static void __pyx_tp_dealloc_9WaveTools_SolitaryWave(PyObject *o) {
  struct __pyx_obj_9WaveTools_SolitaryWave *p = (struct __pyx_obj_9WaveTools_SolitaryWave *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->g);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->trans);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_SolitaryWave(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_SolitaryWave *p = (struct __pyx_obj_9WaveTools_SolitaryWave *)o;
  if (p->g) {
    e = (*v)(((PyObject *)p->g), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->trans) {
    e = (*v)(((PyObject *)p->trans), a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_SolitaryWave(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_SolitaryWave *p = (struct __pyx_obj_9WaveTools_SolitaryWave *)o;
  tmp = ((PyObject*)p->g);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->trans);
  p->trans = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_12SolitaryWave_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_12SolitaryWave_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_12SolitaryWave_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_12SolitaryWave_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_12SolitaryWave_c(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_12SolitaryWave_1c_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_12SolitaryWave_c(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_12SolitaryWave_1c_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_SolitaryWave[] = {
  {"eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_12SolitaryWave_3eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_12SolitaryWave_2eta},
  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_12SolitaryWave_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_12SolitaryWave_4u},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_12SolitaryWave_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_12SolitaryWave_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_SolitaryWave[] = {
  {(char *)"mwl", __pyx_getprop_9WaveTools_12SolitaryWave_mwl, __pyx_setprop_9WaveTools_12SolitaryWave_mwl, (char *)0, 0},
  {(char *)"c", __pyx_getprop_9WaveTools_12SolitaryWave_c, __pyx_setprop_9WaveTools_12SolitaryWave_c, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_SolitaryWave = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.SolitaryWave", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_SolitaryWave), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_SolitaryWave, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is used for generating 1st order solitary wave\n\n    Parameters\n    ----------\n    waveHeight: float\n            Regular wave height\n    mwl : float\n            Still water level\n    depth : float\n            Water depth\n    g : numpy.ndarray\n             Gravitational acceleration vector\n    waveDir : numpy.ndarray\n             Wave direction in vector form\n    trans : numpy.ndarray\n             Position vector of the peak              \n    fast : bool\n            Switch for optimised functions\n\n            ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_SolitaryWave, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_SolitaryWave, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_SolitaryWave, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_SolitaryWave, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9WaveTools_12SolitaryWave_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_SolitaryWave, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_MonochromaticWaves __pyx_vtable_9WaveTools_MonochromaticWaves;
 
static PyObject *__pyx_tp_new_9WaveTools_MonochromaticWaves(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9WaveTools_MonochromaticWaves *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_MonochromaticWaves *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_MonochromaticWaves;
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->Ycoeff = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->Bcoeff = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->mV = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveType = Py_None; Py_INCREF(Py_None);
  return o;
}
 
static void __pyx_tp_dealloc_9WaveTools_MonochromaticWaves(PyObject *o) {
  struct __pyx_obj_9WaveTools_MonochromaticWaves *p = (struct __pyx_obj_9WaveTools_MonochromaticWaves *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->g);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->Ycoeff);
  Py_CLEAR(p->Bcoeff);
  Py_CLEAR(p->kDir);
  Py_CLEAR(p->tanhF);
  Py_CLEAR(p->mV);
  Py_CLEAR(p->waveType);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_MonochromaticWaves(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_MonochromaticWaves *p = (struct __pyx_obj_9WaveTools_MonochromaticWaves *)o;
  if (p->g) {
    e = (*v)(((PyObject *)p->g), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->Ycoeff) {
    e = (*v)(((PyObject *)p->Ycoeff), a); if (e) return e;
  }
  if (p->Bcoeff) {
    e = (*v)(((PyObject *)p->Bcoeff), a); if (e) return e;
  }
  if (p->kDir) {
    e = (*v)(((PyObject *)p->kDir), a); if (e) return e;
  }
  if (p->tanhF) {
    e = (*v)(((PyObject *)p->tanhF), a); if (e) return e;
  }
  if (p->mV) {
    e = (*v)(((PyObject *)p->mV), a); if (e) return e;
  }
  if (p->waveType) {
    e = (*v)(p->waveType, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_MonochromaticWaves(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_MonochromaticWaves *p = (struct __pyx_obj_9WaveTools_MonochromaticWaves *)o;
  tmp = ((PyObject*)p->g);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->Ycoeff);
  p->Ycoeff = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->Bcoeff);
  p->Bcoeff = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDir);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhF);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->mV);
  p->mV = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveType);
  p->waveType = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_18MonochromaticWaves_wavelength(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_18MonochromaticWaves_10wavelength_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_18MonochromaticWaves_wavelength(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_18MonochromaticWaves_10wavelength_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_18MonochromaticWaves_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_18MonochromaticWaves_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_18MonochromaticWaves_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_18MonochromaticWaves_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_MonochromaticWaves[] = {
  {"eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_18MonochromaticWaves_3eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_18MonochromaticWaves_2eta},
  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_18MonochromaticWaves_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_18MonochromaticWaves_4u},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_18MonochromaticWaves_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_18MonochromaticWaves_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_MonochromaticWaves[] = {
  {(char *)"wavelength", __pyx_getprop_9WaveTools_18MonochromaticWaves_wavelength, __pyx_setprop_9WaveTools_18MonochromaticWaves_wavelength, (char *)0, 0},
  {(char *)"mwl", __pyx_getprop_9WaveTools_18MonochromaticWaves_mwl, __pyx_setprop_9WaveTools_18MonochromaticWaves_mwl, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_MonochromaticWaves = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.MonochromaticWaves", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_MonochromaticWaves), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_MonochromaticWaves, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is used for generating regular waves in both linear and nonlinear regimes. See Dean and Dalrymple 1994 for equations.\n\n    Parameters\n    ----------\n    period : float\n             Regular wave period\n    waveHeight: float\n            Regular wave height\n    mwl : float\n            Still water level\n    depth : float\n            Water depth\n    g : numpy.ndarray\n             Gravitational acceleration vector\n    waveDir : numpy.ndarray\n             Wave direction in vector form\n    wavelength : float\n             Regular wave length, calculated from linear dispersion if set to None\n    waveType : string\n             Defines regular wave theory (\"Linear\", \"Fenton\")\n             Fenton: uses BCoeffs/YCoeffs provided by user\n    autoFenton: bool\n             autoFenton=True: uses waveheight, period, depth, and g to\n                              calculate coeffs\n             autoFenton=False: uses BCoeffs/YCoeffs provided by user\n    autoFentonOpts: dict\n             options for autoFenton. The dictionary must contain the following\n             entries (here the default values if autoFentonOpts is None):\n             autoFentonOpts = {'mode': 'Period',\n                               'current_criterion': 1,\n                               'height_steps': 1,\n                               'niter': 40,\n                               'conv_crit': 1e-05,\n                               'points_freesurface': 50,\n                               'points_velocity': 16,\n                               'points_vertical': 20}\n    Ycoeff : numpy.ndarray\n             Fenton Fourier coefficients for free-surface elevation             \n    Bcoeff : numpy.ndarray\n             Fenton Fourier coefficients for velocity (set to None for linear wave theory)  \n    Nf : integer\n             Fenton Fourier components for reconstruction (set to 1000, needs to be equal to the size of Bcoeff and Ycoeff)  \n    meanVelocity : numpy.ndarray""\n             Mean velocity for Fenton Fourier approximation            \n    phi0 : float\n            Regular wave phase (0 by default)            \n    fast : bool\n            Switch for optimised functions\n\n            ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_MonochromaticWaves, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_MonochromaticWaves, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_MonochromaticWaves, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_MonochromaticWaves, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9WaveTools_18MonochromaticWaves_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_MonochromaticWaves, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_NewWave __pyx_vtable_9WaveTools_NewWave;
 
static PyObject *__pyx_tp_new_9WaveTools_NewWave(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9WaveTools_NewWave *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_NewWave *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_NewWave;
  p->fi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->fim = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->Si_Jm = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->phi = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_9WaveTools_7NewWave_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}
 
static void __pyx_tp_dealloc_9WaveTools_NewWave(PyObject *o) {
  struct __pyx_obj_9WaveTools_NewWave *p = (struct __pyx_obj_9WaveTools_NewWave *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->fi);
  Py_CLEAR(p->fim);
  Py_CLEAR(p->Si_Jm);
  Py_CLEAR(p->ki);
  Py_CLEAR(p->omega);
  Py_CLEAR(p->tanhF);
  Py_CLEAR(p->g);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->kDir);
  Py_CLEAR(p->ai);
  Py_CLEAR(p->phi);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_NewWave(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_NewWave *p = (struct __pyx_obj_9WaveTools_NewWave *)o;
  if (p->fi) {
    e = (*v)(((PyObject *)p->fi), a); if (e) return e;
  }
  if (p->fim) {
    e = (*v)(((PyObject *)p->fim), a); if (e) return e;
  }
  if (p->Si_Jm) {
    e = (*v)(((PyObject *)p->Si_Jm), a); if (e) return e;
  }
  if (p->ki) {
    e = (*v)(((PyObject *)p->ki), a); if (e) return e;
  }
  if (p->omega) {
    e = (*v)(((PyObject *)p->omega), a); if (e) return e;
  }
  if (p->tanhF) {
    e = (*v)(((PyObject *)p->tanhF), a); if (e) return e;
  }
  if (p->g) {
    e = (*v)(((PyObject *)p->g), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->kDir) {
    e = (*v)(((PyObject *)p->kDir), a); if (e) return e;
  }
  if (p->ai) {
    e = (*v)(((PyObject *)p->ai), a); if (e) return e;
  }
  if (p->phi) {
    e = (*v)(p->phi, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_NewWave(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_NewWave *p = (struct __pyx_obj_9WaveTools_NewWave *)o;
  tmp = ((PyObject*)p->fi);
  p->fi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fim);
  p->fim = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->Si_Jm);
  p->Si_Jm = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ki);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->omega);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhF);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->g);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDir);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ai);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->phi);
  p->phi = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_depth(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_5depth_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_depth(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_5depth_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_gAbs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_4gAbs_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_gAbs(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_4gAbs_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_Tlag(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_4Tlag_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_Tlag(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_4Tlag_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_Hs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2Hs_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_Hs(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2Hs_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_Tp(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2Tp_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_Tp(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2Tp_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_fp(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2fp_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_fp(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2fp_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_bandFactor(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_10bandFactor_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_bandFactor(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_10bandFactor_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_df(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2df_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_df(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2df_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_focus(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_5focus_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_focus(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_5focus_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_tfocus(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_6tfocus_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_tfocus(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_6tfocus_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_N(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_1N_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_N(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_1N_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_fi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2fi_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_fi(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2fi_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_2fi_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_fim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_3fim_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_fim(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_3fim_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_3fim_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_Si_Jm(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_5Si_Jm_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_Si_Jm(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_5Si_Jm_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_5Si_Jm_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_ki(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2ki_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_ki(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2ki_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_2ki_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_omega(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_5omega_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_omega(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_5omega_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_5omega_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_tanhF(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_5tanhF_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_tanhF(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_5tanhF_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_5tanhF_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_g(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_1g_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_g(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_1g_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_1g_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_waveDir(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_7waveDir_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_waveDir(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_7waveDir_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_7waveDir_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_vDir(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_4vDir_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_vDir(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_4vDir_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_4vDir_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_kDir(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_4kDir_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_kDir(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_4kDir_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_4kDir_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_ai(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_2ai_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_ai(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_2ai_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_2ai_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_7NewWave_phi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_7NewWave_3phi_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_7NewWave_phi(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_7NewWave_3phi_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_7NewWave_3phi_5__del__(o);
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_NewWave[] = {
  {"eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_7NewWave_3eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_7NewWave_2eta},
  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_7NewWave_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_7NewWave_4u},
  {"writeEtaSeries", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_7NewWave_7writeEtaSeries, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_7NewWave_6writeEtaSeries},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_7NewWave_9__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_7NewWave_11__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_NewWave[] = {
  {(char *)"mwl", __pyx_getprop_9WaveTools_7NewWave_mwl, __pyx_setprop_9WaveTools_7NewWave_mwl, (char *)0, 0},
  {(char *)"depth", __pyx_getprop_9WaveTools_7NewWave_depth, __pyx_setprop_9WaveTools_7NewWave_depth, (char *)0, 0},
  {(char *)"gAbs", __pyx_getprop_9WaveTools_7NewWave_gAbs, __pyx_setprop_9WaveTools_7NewWave_gAbs, (char *)0, 0},
  {(char *)"Tlag", __pyx_getprop_9WaveTools_7NewWave_Tlag, __pyx_setprop_9WaveTools_7NewWave_Tlag, (char *)0, 0},
  {(char *)"Hs", __pyx_getprop_9WaveTools_7NewWave_Hs, __pyx_setprop_9WaveTools_7NewWave_Hs, (char *)0, 0},
  {(char *)"Tp", __pyx_getprop_9WaveTools_7NewWave_Tp, __pyx_setprop_9WaveTools_7NewWave_Tp, (char *)0, 0},
  {(char *)"fp", __pyx_getprop_9WaveTools_7NewWave_fp, __pyx_setprop_9WaveTools_7NewWave_fp, (char *)0, 0},
  {(char *)"bandFactor", __pyx_getprop_9WaveTools_7NewWave_bandFactor, __pyx_setprop_9WaveTools_7NewWave_bandFactor, (char *)0, 0},
  {(char *)"df", __pyx_getprop_9WaveTools_7NewWave_df, __pyx_setprop_9WaveTools_7NewWave_df, (char *)0, 0},
  {(char *)"focus", __pyx_getprop_9WaveTools_7NewWave_focus, __pyx_setprop_9WaveTools_7NewWave_focus, (char *)0, 0},
  {(char *)"tfocus", __pyx_getprop_9WaveTools_7NewWave_tfocus, __pyx_setprop_9WaveTools_7NewWave_tfocus, (char *)0, 0},
  {(char *)"N", __pyx_getprop_9WaveTools_7NewWave_N, __pyx_setprop_9WaveTools_7NewWave_N, (char *)0, 0},
  {(char *)"fi", __pyx_getprop_9WaveTools_7NewWave_fi, __pyx_setprop_9WaveTools_7NewWave_fi, (char *)0, 0},
  {(char *)"fim", __pyx_getprop_9WaveTools_7NewWave_fim, __pyx_setprop_9WaveTools_7NewWave_fim, (char *)0, 0},
  {(char *)"Si_Jm", __pyx_getprop_9WaveTools_7NewWave_Si_Jm, __pyx_setprop_9WaveTools_7NewWave_Si_Jm, (char *)0, 0},
  {(char *)"ki", __pyx_getprop_9WaveTools_7NewWave_ki, __pyx_setprop_9WaveTools_7NewWave_ki, (char *)0, 0},
  {(char *)"omega", __pyx_getprop_9WaveTools_7NewWave_omega, __pyx_setprop_9WaveTools_7NewWave_omega, (char *)0, 0},
  {(char *)"tanhF", __pyx_getprop_9WaveTools_7NewWave_tanhF, __pyx_setprop_9WaveTools_7NewWave_tanhF, (char *)0, 0},
  {(char *)"g", __pyx_getprop_9WaveTools_7NewWave_g, __pyx_setprop_9WaveTools_7NewWave_g, (char *)0, 0},
  {(char *)"waveDir", __pyx_getprop_9WaveTools_7NewWave_waveDir, __pyx_setprop_9WaveTools_7NewWave_waveDir, (char *)0, 0},
  {(char *)"vDir", __pyx_getprop_9WaveTools_7NewWave_vDir, __pyx_setprop_9WaveTools_7NewWave_vDir, (char *)0, 0},
  {(char *)"kDir", __pyx_getprop_9WaveTools_7NewWave_kDir, __pyx_setprop_9WaveTools_7NewWave_kDir, (char *)0, 0},
  {(char *)"ai", __pyx_getprop_9WaveTools_7NewWave_ai, __pyx_setprop_9WaveTools_7NewWave_ai, (char *)0, 0},
  {(char *)"phi", __pyx_getprop_9WaveTools_7NewWave_phi, __pyx_setprop_9WaveTools_7NewWave_phi, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_NewWave = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.NewWave", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_NewWave), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_NewWave, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is used for generating the NewWave theory (see Tromans et al. 1991)\n\n    Parameters\n    ----------\n    Tp : float\n            Peak wave period            \n    Hs : float\n             Significant wave height            \n    mwl : float\n             Still water level            \n    depth : float\n             Water depth            \n    waveDir : numpy.ndarray\n             Wave direction vector            \n    g : Numpy array\n             Gravitational acceleration vector            \n    N : int\n             Number of frequency components\n    bandFactor : float\n             Spectral band factor. fmax = bandFactor/Tp, fmin = 1/(bandFactor*Tp)           \n    spectName : string\n             Name of spectral distribution\n    spectral_params : dict\n             Dictionary of arguments specific to the spectral distribution\n            Example for JONSWAP = {\"gamma\": 3.3, \"TMA\":True,\"depth\": depth}\n            TMA=True activates the TMA modification, which in turn needs the depth as a parameter            \n    crestFocus: bool\n             Switch to determine if crest focused or trough focused. By default true\n    xfocus : numpy array\n             Position of focused crest / trough\n    tfocus : numpy array\n             Time of focused crest / trough\n    Nmax: int\n             Normalisation factor to get the 1/N wave event at the NewWave series\n    fast : bool\n             Switch for optimised functions            \n    ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_NewWave, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_NewWave, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_NewWave, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_NewWave, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_NewWave, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_RandomWaves __pyx_vtable_9WaveTools_RandomWaves;
 
static PyObject *__pyx_tp_new_9WaveTools_RandomWaves(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9WaveTools_RandomWaves *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_RandomWaves *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_RandomWaves;
  p->fi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->fim = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->Si_Jm = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->phi = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_9WaveTools_11RandomWaves_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}
 
static void __pyx_tp_dealloc_9WaveTools_RandomWaves(PyObject *o) {
  struct __pyx_obj_9WaveTools_RandomWaves *p = (struct __pyx_obj_9WaveTools_RandomWaves *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->fi);
  Py_CLEAR(p->fim);
  Py_CLEAR(p->Si_Jm);
  Py_CLEAR(p->ki);
  Py_CLEAR(p->omega);
  Py_CLEAR(p->tanhF);
  Py_CLEAR(p->g);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->kDir);
  Py_CLEAR(p->ai);
  Py_CLEAR(p->phi);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_RandomWaves(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_RandomWaves *p = (struct __pyx_obj_9WaveTools_RandomWaves *)o;
  if (p->fi) {
    e = (*v)(((PyObject *)p->fi), a); if (e) return e;
  }
  if (p->fim) {
    e = (*v)(((PyObject *)p->fim), a); if (e) return e;
  }
  if (p->Si_Jm) {
    e = (*v)(((PyObject *)p->Si_Jm), a); if (e) return e;
  }
  if (p->ki) {
    e = (*v)(((PyObject *)p->ki), a); if (e) return e;
  }
  if (p->omega) {
    e = (*v)(((PyObject *)p->omega), a); if (e) return e;
  }
  if (p->tanhF) {
    e = (*v)(((PyObject *)p->tanhF), a); if (e) return e;
  }
  if (p->g) {
    e = (*v)(((PyObject *)p->g), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->kDir) {
    e = (*v)(((PyObject *)p->kDir), a); if (e) return e;
  }
  if (p->ai) {
    e = (*v)(((PyObject *)p->ai), a); if (e) return e;
  }
  if (p->phi) {
    e = (*v)(p->phi, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_RandomWaves(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_RandomWaves *p = (struct __pyx_obj_9WaveTools_RandomWaves *)o;
  tmp = ((PyObject*)p->fi);
  p->fi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fim);
  p->fim = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->Si_Jm);
  p->Si_Jm = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ki);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->omega);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhF);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->g);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDir);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ai);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->phi);
  p->phi = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_depth(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_5depth_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_depth(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_5depth_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_gAbs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_4gAbs_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_gAbs(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_4gAbs_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_Tlag(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_4Tlag_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_Tlag(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_4Tlag_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_Hs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2Hs_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_Hs(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2Hs_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_Tp(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2Tp_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_Tp(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2Tp_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_fp(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2fp_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_fp(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2fp_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_bandFactor(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_10bandFactor_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_bandFactor(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_10bandFactor_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_df(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2df_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_df(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2df_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_wavelength(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_10wavelength_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_wavelength(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_10wavelength_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_N(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_1N_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_N(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_1N_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_fi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2fi_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_fi(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2fi_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_2fi_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_fim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_3fim_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_fim(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_3fim_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_3fim_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_Si_Jm(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_5Si_Jm_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_Si_Jm(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_5Si_Jm_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_5Si_Jm_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_ki(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2ki_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_ki(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2ki_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_2ki_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_omega(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_5omega_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_omega(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_5omega_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_5omega_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_tanhF(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_5tanhF_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_tanhF(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_5tanhF_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_5tanhF_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_g(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_1g_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_g(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_1g_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_1g_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_waveDir(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_7waveDir_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_waveDir(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_7waveDir_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_7waveDir_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_vDir(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_4vDir_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_vDir(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_4vDir_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_4vDir_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_kDir(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_4kDir_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_kDir(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_4kDir_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_4kDir_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_ai(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_2ai_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_ai(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_2ai_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_2ai_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_11RandomWaves_phi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_11RandomWaves_3phi_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_11RandomWaves_phi(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_11RandomWaves_3phi_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_11RandomWaves_3phi_5__del__(o);
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_RandomWaves[] = {
  {"eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_11RandomWaves_3eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_11RandomWaves_2eta},
  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_11RandomWaves_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_11RandomWaves_4u},
  {"writeEtaSeries", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_11RandomWaves_7writeEtaSeries, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_11RandomWaves_6writeEtaSeries},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_11RandomWaves_9__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_11RandomWaves_11__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_RandomWaves[] = {
  {(char *)"mwl", __pyx_getprop_9WaveTools_11RandomWaves_mwl, __pyx_setprop_9WaveTools_11RandomWaves_mwl, (char *)0, 0},
  {(char *)"depth", __pyx_getprop_9WaveTools_11RandomWaves_depth, __pyx_setprop_9WaveTools_11RandomWaves_depth, (char *)0, 0},
  {(char *)"gAbs", __pyx_getprop_9WaveTools_11RandomWaves_gAbs, __pyx_setprop_9WaveTools_11RandomWaves_gAbs, (char *)0, 0},
  {(char *)"Tlag", __pyx_getprop_9WaveTools_11RandomWaves_Tlag, __pyx_setprop_9WaveTools_11RandomWaves_Tlag, (char *)0, 0},
  {(char *)"Hs", __pyx_getprop_9WaveTools_11RandomWaves_Hs, __pyx_setprop_9WaveTools_11RandomWaves_Hs, (char *)0, 0},
  {(char *)"Tp", __pyx_getprop_9WaveTools_11RandomWaves_Tp, __pyx_setprop_9WaveTools_11RandomWaves_Tp, (char *)0, 0},
  {(char *)"fp", __pyx_getprop_9WaveTools_11RandomWaves_fp, __pyx_setprop_9WaveTools_11RandomWaves_fp, (char *)0, 0},
  {(char *)"bandFactor", __pyx_getprop_9WaveTools_11RandomWaves_bandFactor, __pyx_setprop_9WaveTools_11RandomWaves_bandFactor, (char *)0, 0},
  {(char *)"df", __pyx_getprop_9WaveTools_11RandomWaves_df, __pyx_setprop_9WaveTools_11RandomWaves_df, (char *)0, 0},
  {(char *)"wavelength", __pyx_getprop_9WaveTools_11RandomWaves_wavelength, __pyx_setprop_9WaveTools_11RandomWaves_wavelength, (char *)0, 0},
  {(char *)"N", __pyx_getprop_9WaveTools_11RandomWaves_N, __pyx_setprop_9WaveTools_11RandomWaves_N, (char *)0, 0},
  {(char *)"fi", __pyx_getprop_9WaveTools_11RandomWaves_fi, __pyx_setprop_9WaveTools_11RandomWaves_fi, (char *)0, 0},
  {(char *)"fim", __pyx_getprop_9WaveTools_11RandomWaves_fim, __pyx_setprop_9WaveTools_11RandomWaves_fim, (char *)0, 0},
  {(char *)"Si_Jm", __pyx_getprop_9WaveTools_11RandomWaves_Si_Jm, __pyx_setprop_9WaveTools_11RandomWaves_Si_Jm, (char *)0, 0},
  {(char *)"ki", __pyx_getprop_9WaveTools_11RandomWaves_ki, __pyx_setprop_9WaveTools_11RandomWaves_ki, (char *)0, 0},
  {(char *)"omega", __pyx_getprop_9WaveTools_11RandomWaves_omega, __pyx_setprop_9WaveTools_11RandomWaves_omega, (char *)0, 0},
  {(char *)"tanhF", __pyx_getprop_9WaveTools_11RandomWaves_tanhF, __pyx_setprop_9WaveTools_11RandomWaves_tanhF, (char *)0, 0},
  {(char *)"g", __pyx_getprop_9WaveTools_11RandomWaves_g, __pyx_setprop_9WaveTools_11RandomWaves_g, (char *)0, 0},
  {(char *)"waveDir", __pyx_getprop_9WaveTools_11RandomWaves_waveDir, __pyx_setprop_9WaveTools_11RandomWaves_waveDir, (char *)0, 0},
  {(char *)"vDir", __pyx_getprop_9WaveTools_11RandomWaves_vDir, __pyx_setprop_9WaveTools_11RandomWaves_vDir, (char *)0, 0},
  {(char *)"kDir", __pyx_getprop_9WaveTools_11RandomWaves_kDir, __pyx_setprop_9WaveTools_11RandomWaves_kDir, (char *)0, 0},
  {(char *)"ai", __pyx_getprop_9WaveTools_11RandomWaves_ai, __pyx_setprop_9WaveTools_11RandomWaves_ai, (char *)0, 0},
  {(char *)"phi", __pyx_getprop_9WaveTools_11RandomWaves_phi, __pyx_setprop_9WaveTools_11RandomWaves_phi, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_RandomWaves = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.RandomWaves", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_RandomWaves), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_RandomWaves, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is used for generating plane random waves using linear reconstruction of components from a\n    wave spectrum\n\n    Parameters\n    ----------\n    Tp : float\n            Peak wave period            \n    Hs : float\n             Significant wave height            \n    mwl : float\n             Still water level            \n    depth : float\n             Water depth            \n    waveDir : numpy.ndarray\n             Wave direction vector            \n    g : Numpy array\n             Gravitational acceleration vector            \n    N : int\n             Number of frequency components\n    bandFactor : float\n             Spectral band factor. fmax = bandFactor/Tp, fmin = 1/(bandFactor*Tp)           \n    spectName : string\n             Name of spectral distribution\n    spectral_params : dict\n             Dictionary of arguments specific to the spectral distribution\n            Example for JONSWAP = {\"gamma\": 3.3, \"TMA\":True,\"depth\": depth}\n            TMA=True activates the TMA modification, which in turn needs the depth as a parameter            \n    phi : numpy.ndarray\n             Component phases (if set to None, phases are picked at random)            \n    fast : bool\n             Switch for optimised functions            \n    ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_RandomWaves, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_RandomWaves, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_RandomWaves, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_RandomWaves, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_RandomWaves, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_MultiSpectraRandomWaves __pyx_vtable_9WaveTools_MultiSpectraRandomWaves;
 
static PyObject *__pyx_tp_new_9WaveTools_MultiSpectraRandomWaves(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_MultiSpectraRandomWaves;
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->omegaM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->phiM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kiM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDirM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhFM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->aiM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_9WaveTools_23MultiSpectraRandomWaves_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}
 
static void __pyx_tp_dealloc_9WaveTools_MultiSpectraRandomWaves(PyObject *o) {
  struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *p = (struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->g);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->omegaM);
  Py_CLEAR(p->phiM);
  Py_CLEAR(p->kiM);
  Py_CLEAR(p->kDirM);
  Py_CLEAR(p->tanhFM);
  Py_CLEAR(p->aiM);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_MultiSpectraRandomWaves(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *p = (struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *)o;
  if (p->g) {
    e = (*v)(((PyObject *)p->g), a); if (e) return e;
  }
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->omegaM) {
    e = (*v)(((PyObject *)p->omegaM), a); if (e) return e;
  }
  if (p->phiM) {
    e = (*v)(((PyObject *)p->phiM), a); if (e) return e;
  }
  if (p->kiM) {
    e = (*v)(((PyObject *)p->kiM), a); if (e) return e;
  }
  if (p->kDirM) {
    e = (*v)(((PyObject *)p->kDirM), a); if (e) return e;
  }
  if (p->tanhFM) {
    e = (*v)(((PyObject *)p->tanhFM), a); if (e) return e;
  }
  if (p->aiM) {
    e = (*v)(((PyObject *)p->aiM), a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_MultiSpectraRandomWaves(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *p = (struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves *)o;
  tmp = ((PyObject*)p->g);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->omegaM);
  p->omegaM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->phiM);
  p->phiM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kiM);
  p->kiM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDirM);
  p->kDirM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhFM);
  p->tanhFM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->aiM);
  p->aiM = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_23MultiSpectraRandomWaves_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_23MultiSpectraRandomWaves_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_23MultiSpectraRandomWaves_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_23MultiSpectraRandomWaves_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_23MultiSpectraRandomWaves_depth(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_23MultiSpectraRandomWaves_5depth_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_23MultiSpectraRandomWaves_depth(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_23MultiSpectraRandomWaves_5depth_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_MultiSpectraRandomWaves[] = {
  {"eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_23MultiSpectraRandomWaves_3eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_23MultiSpectraRandomWaves_2eta},
  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_23MultiSpectraRandomWaves_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_23MultiSpectraRandomWaves_4u},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_23MultiSpectraRandomWaves_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_23MultiSpectraRandomWaves_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_MultiSpectraRandomWaves[] = {
  {(char *)"mwl", __pyx_getprop_9WaveTools_23MultiSpectraRandomWaves_mwl, __pyx_setprop_9WaveTools_23MultiSpectraRandomWaves_mwl, (char *)0, 0},
  {(char *)"depth", __pyx_getprop_9WaveTools_23MultiSpectraRandomWaves_depth, __pyx_setprop_9WaveTools_23MultiSpectraRandomWaves_depth, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_MultiSpectraRandomWaves = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.MultiSpectraRandomWaves", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_MultiSpectraRandomWaves), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_MultiSpectraRandomWaves, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "This class is used for generating random waves by combining\n    multiple spectra with different distributions and directions\n\n    Parameters\n    ----------\n\n        Nspectra : int\n                 Total number of spectra\n        Tp : list\n                 List of peak wave periods\n        Hs : list\n                 List of significant wave heights\n        mwl : float\n                 Still water level\n                \n        depth : float\n                 Water depth\n                \n        waveDir : list\n                 List of wave direction vector\n                \n        g : Numpy array\n                 Gravitational acceleration vector\n        N : list\n                 List of numbers of frequency components\n        bandFactor : list\n                 List of spectral band factors\n        spectName : list\n                 List of names of spectral distribution\n        spectral_params : list\n                 List of names of spectral distribution (see RandomWaves class)\n        phi : list\n                 List of component phases\n        fast : bool\n                 Switch for optimised functions              \n    ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_MultiSpectraRandomWaves, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_MultiSpectraRandomWaves, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_MultiSpectraRandomWaves, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_MultiSpectraRandomWaves, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_MultiSpectraRandomWaves, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_DirectionalWaves __pyx_vtable_9WaveTools_DirectionalWaves;
 
static PyObject *__pyx_tp_new_9WaveTools_DirectionalWaves(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_9WaveTools_DirectionalWaves *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_DirectionalWaves *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_DirectionalWaves;
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanh = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir0 = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->phiDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->aiDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_9WaveTools_16DirectionalWaves_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}
 
static void __pyx_tp_dealloc_9WaveTools_DirectionalWaves(PyObject *o) {
  struct __pyx_obj_9WaveTools_DirectionalWaves *p = (struct __pyx_obj_9WaveTools_DirectionalWaves *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->omega);
  Py_CLEAR(p->tanh);
  Py_CLEAR(p->waveDir0);
  Py_CLEAR(p->waveDirs);
  Py_CLEAR(p->phiDirs);
  Py_CLEAR(p->aiDirs);
  Py_CLEAR(p->ki);
  Py_CLEAR(p->kDirs);
  Py_CLEAR(p->tanhF);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_DirectionalWaves(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_DirectionalWaves *p = (struct __pyx_obj_9WaveTools_DirectionalWaves *)o;
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->omega) {
    e = (*v)(((PyObject *)p->omega), a); if (e) return e;
  }
  if (p->tanh) {
    e = (*v)(((PyObject *)p->tanh), a); if (e) return e;
  }
  if (p->waveDir0) {
    e = (*v)(((PyObject *)p->waveDir0), a); if (e) return e;
  }
  if (p->waveDirs) {
    e = (*v)(((PyObject *)p->waveDirs), a); if (e) return e;
  }
  if (p->phiDirs) {
    e = (*v)(((PyObject *)p->phiDirs), a); if (e) return e;
  }
  if (p->aiDirs) {
    e = (*v)(((PyObject *)p->aiDirs), a); if (e) return e;
  }
  if (p->ki) {
    e = (*v)(((PyObject *)p->ki), a); if (e) return e;
  }
  if (p->kDirs) {
    e = (*v)(((PyObject *)p->kDirs), a); if (e) return e;
  }
  if (p->tanhF) {
    e = (*v)(((PyObject *)p->tanhF), a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_DirectionalWaves(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_DirectionalWaves *p = (struct __pyx_obj_9WaveTools_DirectionalWaves *)o;
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->omega);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanh);
  p->tanh = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir0);
  p->waveDir0 = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDirs);
  p->waveDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->phiDirs);
  p->phiDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->aiDirs);
  p->aiDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ki);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDirs);
  p->kDirs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhF);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_16DirectionalWaves_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_16DirectionalWaves_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_16DirectionalWaves_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_16DirectionalWaves_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_16DirectionalWaves_depth(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_16DirectionalWaves_5depth_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_16DirectionalWaves_depth(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_16DirectionalWaves_5depth_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_DirectionalWaves[] = {
  {"eta", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_16DirectionalWaves_3eta, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_16DirectionalWaves_2eta},
  {"u", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_16DirectionalWaves_5u, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_16DirectionalWaves_4u},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_16DirectionalWaves_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_16DirectionalWaves_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_DirectionalWaves[] = {
  {(char *)"mwl", __pyx_getprop_9WaveTools_16DirectionalWaves_mwl, __pyx_setprop_9WaveTools_16DirectionalWaves_mwl, (char *)0, 0},
  {(char *)"depth", __pyx_getprop_9WaveTools_16DirectionalWaves_depth, __pyx_setprop_9WaveTools_16DirectionalWaves_depth, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_DirectionalWaves = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.DirectionalWaves", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_DirectionalWaves), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_DirectionalWaves, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is used for generating directional random waves using linear reconstruction of components from a\n    wave spectrum\n\n    Parameters\n    ----------\n    M : int\n             Number of directional components\n    Tp : float\n             Peak wave period\n    Hs : float\n             Significant wave height\n    mwl : float\n             Still water level\n    depth : float\n             Water depth\n    waveDir0 : numpy.ndarray\n             Leading wave direction vector\n    g : Numpy array\n             Gravitational acceleration vector\n    N : int\n             Number of frequency components\n    bandFactor : float\n             Spectral band factor. fmax = bandFactor/Tp, fmin = 1/(bandFactor*Tp)           \n    spectName : string\n             Name of spectral distribution\n    spreadName : string\n             Name of spreading distribution\n    spectral_params : dict\n             Dictionary of arguments specific to the spectral distribution (see RandomWaves class)            \n    spread_params : dict\n             Dictionary of arguments specific to the spreading distribution\n            Example for Cos-2s = {\"s\": 10}\n            Example for Mitsuyashu-type = {\"fp\": 1/Tp, \"smax\":10}\n            \n    phi : numpy.ndarray\n             Component phases (if set to None, phases are picked at random)\n            \n    phiSymm : bool\n             Switch for enabling a symmetric phase allocation across directional components\n    fast : bool\n             Switch for enabling optimised functions \n\n    ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_DirectionalWaves, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_DirectionalWaves, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_DirectionalWaves, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_DirectionalWaves, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_DirectionalWaves, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_TimeSeries __pyx_vtable_9WaveTools_TimeSeries;
 
static PyObject *__pyx_tp_new_9WaveTools_TimeSeries(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9WaveTools_TimeSeries *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_TimeSeries *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_TimeSeries;
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->x0 = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->time = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->etaS = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->phi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->windows_handover = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->windows_rec = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->decompose_window = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->eta = Py_None; Py_INCREF(Py_None);
  p->u = Py_None; Py_INCREF(Py_None);
  return o;
}
 
static void __pyx_tp_dealloc_9WaveTools_TimeSeries(PyObject *o) {
  struct __pyx_obj_9WaveTools_TimeSeries *p = (struct __pyx_obj_9WaveTools_TimeSeries *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->g);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->vDir);
  Py_CLEAR(p->x0);
  Py_CLEAR(p->kDir);
  Py_CLEAR(p->tanhF);
  Py_CLEAR(p->time);
  Py_CLEAR(p->etaS);
  Py_CLEAR(p->ai);
  Py_CLEAR(p->omega);
  Py_CLEAR(p->phi);
  Py_CLEAR(p->ki);
  Py_CLEAR(p->windows_handover);
  Py_CLEAR(p->windows_rec);
  Py_CLEAR(p->decompose_window);
  Py_CLEAR(p->eta);
  Py_CLEAR(p->u);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_TimeSeries(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_TimeSeries *p = (struct __pyx_obj_9WaveTools_TimeSeries *)o;
  if (p->g) {
    e = (*v)(((PyObject *)p->g), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->vDir) {
    e = (*v)(((PyObject *)p->vDir), a); if (e) return e;
  }
  if (p->x0) {
    e = (*v)(((PyObject *)p->x0), a); if (e) return e;
  }
  if (p->kDir) {
    e = (*v)(((PyObject *)p->kDir), a); if (e) return e;
  }
  if (p->tanhF) {
    e = (*v)(((PyObject *)p->tanhF), a); if (e) return e;
  }
  if (p->time) {
    e = (*v)(((PyObject *)p->time), a); if (e) return e;
  }
  if (p->etaS) {
    e = (*v)(((PyObject *)p->etaS), a); if (e) return e;
  }
  if (p->ai) {
    e = (*v)(((PyObject *)p->ai), a); if (e) return e;
  }
  if (p->omega) {
    e = (*v)(((PyObject *)p->omega), a); if (e) return e;
  }
  if (p->phi) {
    e = (*v)(((PyObject *)p->phi), a); if (e) return e;
  }
  if (p->ki) {
    e = (*v)(((PyObject *)p->ki), a); if (e) return e;
  }
  if (p->windows_handover) {
    e = (*v)(p->windows_handover, a); if (e) return e;
  }
  if (p->windows_rec) {
    e = (*v)(p->windows_rec, a); if (e) return e;
  }
  if (p->decompose_window) {
    e = (*v)(p->decompose_window, a); if (e) return e;
  }
  if (p->eta) {
    e = (*v)(p->eta, a); if (e) return e;
  }
  if (p->u) {
    e = (*v)(p->u, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_TimeSeries(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_TimeSeries *p = (struct __pyx_obj_9WaveTools_TimeSeries *)o;
  tmp = ((PyObject*)p->g);
  p->g = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->vDir);
  p->vDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->x0);
  p->x0 = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDir);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhF);
  p->tanhF = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->time);
  p->time = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->etaS);
  p->etaS = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ai);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->omega);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->phi);
  p->phi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ki);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->windows_handover);
  p->windows_handover = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->windows_rec);
  p->windows_rec = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->decompose_window);
  p->decompose_window = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->eta);
  p->eta = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->u);
  p->u = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_10TimeSeries_wavelength(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_10TimeSeries_10wavelength_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_10TimeSeries_wavelength(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_10TimeSeries_10wavelength_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_10TimeSeries_mwl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_10TimeSeries_3mwl_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_10TimeSeries_mwl(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_10TimeSeries_3mwl_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_10TimeSeries_eta(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_10TimeSeries_3eta_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_10TimeSeries_eta(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_10TimeSeries_3eta_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_10TimeSeries_3eta_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_10TimeSeries_u(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_10TimeSeries_1u_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_10TimeSeries_u(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_10TimeSeries_1u_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_10TimeSeries_1u_5__del__(o);
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_TimeSeries[] = {
  {"windOut", (PyCFunction)__pyx_pw_9WaveTools_10TimeSeries_3windOut, METH_NOARGS, 0},
  {"etaDirect", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_10TimeSeries_5etaDirect, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_10TimeSeries_4etaDirect},
  {"uDirect", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_10TimeSeries_7uDirect, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_10TimeSeries_6uDirect},
  {"findWindow", (PyCFunction)__pyx_pw_9WaveTools_10TimeSeries_9findWindow, METH_O, __pyx_doc_9WaveTools_10TimeSeries_8findWindow},
  {"etaWindow", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_10TimeSeries_11etaWindow, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_10TimeSeries_10etaWindow},
  {"uWindow", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_10TimeSeries_13uWindow, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_10TimeSeries_12uWindow},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_10TimeSeries_15__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_10TimeSeries_17__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_TimeSeries[] = {
  {(char *)"wavelength", __pyx_getprop_9WaveTools_10TimeSeries_wavelength, __pyx_setprop_9WaveTools_10TimeSeries_wavelength, (char *)0, 0},
  {(char *)"mwl", __pyx_getprop_9WaveTools_10TimeSeries_mwl, __pyx_setprop_9WaveTools_10TimeSeries_mwl, (char *)0, 0},
  {(char *)"eta", __pyx_getprop_9WaveTools_10TimeSeries_eta, __pyx_setprop_9WaveTools_10TimeSeries_eta, (char *)0, 0},
  {(char *)"u", __pyx_getprop_9WaveTools_10TimeSeries_u, __pyx_setprop_9WaveTools_10TimeSeries_u, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_TimeSeries = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.TimeSeries", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_TimeSeries), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_TimeSeries, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "This class is used for generating waves from an arbirtrary free-surface elevation time series\n\n    Parameters\n    ----------\n    timeSeriesFile : string\n             Time series file name (csv or txt)\n    skiprows : int\n             Number of header rows in time series file            \n    timeSeriesPosition : numpy.ndarrat\n             Coordinates of the gauge / signal location            \n    depth : float\n             Water depth            \n    N : int\n             Number of frequency components\n    mwl : float\n             Still water level            \n    waveDir : numpy.ndarray\n             Leading wave direction vector            \n    g : Numpy array\n             Gravitational acceleration vector            \n    cutoffTotal : float\n             Cut off fraction, applied both at the leading and tailing parts of the series \n    rec_direct : bool\n             Switch for activating direct decomposition\n    window_params : dict\n             Dictionary of parameters for window method\n            e.g.  window_params = {\"Nwaves\":15, \"Tm\": Tp/1.1, \"Window\":\"costap\"} (minimum parameters required)\n            e.g.  window_params = {\"Nwaves\":15, \"Tm\": Tp/1.1, \"Window\":\"costap\", \"Overlap\":0.5, \"Cutoff\":0.2} (full range of parameters)\n            \n    arrayData : bool\n             Switch for passing the time series as an array (False by default)\n    seriesArray : numpy.ndarray\n             Free surface elevation time series given in an array format (None by default) \n    fast : bool\n             Switch for enabling optimised functions \n\n    ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_TimeSeries, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_TimeSeries, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_TimeSeries, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_TimeSeries, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9WaveTools_10TimeSeries_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_TimeSeries, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_9WaveTools_RandomNLWaves __pyx_vtable_9WaveTools_RandomNLWaves;
 
static PyObject *__pyx_tp_new_9WaveTools_RandomNLWaves(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_9WaveTools_RandomNLWaves *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_9WaveTools_RandomNLWaves *)o);
  p->__pyx_vtab = __pyx_vtabptr_9WaveTools_RandomNLWaves;
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->phi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->tanhKd = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->sinhKd = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->eta = Py_None; Py_INCREF(Py_None);
  p->u = Py_None; Py_INCREF(Py_None);
  p->eta_linear = Py_None; Py_INCREF(Py_None);
  return o;
}
 
static void __pyx_tp_dealloc_9WaveTools_RandomNLWaves(PyObject *o) {
  struct __pyx_obj_9WaveTools_RandomNLWaves *p = (struct __pyx_obj_9WaveTools_RandomNLWaves *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->omega);
  Py_CLEAR(p->ki);
  Py_CLEAR(p->kDir);
  Py_CLEAR(p->phi);
  Py_CLEAR(p->tanhKd);
  Py_CLEAR(p->sinhKd);
  Py_CLEAR(p->waveDir);
  Py_CLEAR(p->ai);
  Py_CLEAR(p->eta);
  Py_CLEAR(p->u);
  Py_CLEAR(p->eta_linear);
  (*Py_TYPE(o)->tp_free)(o);
}
 
static int __pyx_tp_traverse_9WaveTools_RandomNLWaves(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools_RandomNLWaves *p = (struct __pyx_obj_9WaveTools_RandomNLWaves *)o;
  if (p->omega) {
    e = (*v)(((PyObject *)p->omega), a); if (e) return e;
  }
  if (p->ki) {
    e = (*v)(((PyObject *)p->ki), a); if (e) return e;
  }
  if (p->kDir) {
    e = (*v)(((PyObject *)p->kDir), a); if (e) return e;
  }
  if (p->phi) {
    e = (*v)(((PyObject *)p->phi), a); if (e) return e;
  }
  if (p->tanhKd) {
    e = (*v)(((PyObject *)p->tanhKd), a); if (e) return e;
  }
  if (p->sinhKd) {
    e = (*v)(((PyObject *)p->sinhKd), a); if (e) return e;
  }
  if (p->waveDir) {
    e = (*v)(((PyObject *)p->waveDir), a); if (e) return e;
  }
  if (p->ai) {
    e = (*v)(((PyObject *)p->ai), a); if (e) return e;
  }
  if (p->eta) {
    e = (*v)(p->eta, a); if (e) return e;
  }
  if (p->u) {
    e = (*v)(p->u, a); if (e) return e;
  }
  if (p->eta_linear) {
    e = (*v)(p->eta_linear, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools_RandomNLWaves(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools_RandomNLWaves *p = (struct __pyx_obj_9WaveTools_RandomNLWaves *)o;
  tmp = ((PyObject*)p->omega);
  p->omega = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ki);
  p->ki = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kDir);
  p->kDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->phi);
  p->phi = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->tanhKd);
  p->tanhKd = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->sinhKd);
  p->sinhKd = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->waveDir);
  p->waveDir = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ai);
  p->ai = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->eta);
  p->eta = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->u);
  p->u = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->eta_linear);
  p->eta_linear = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyObject *__pyx_getprop_9WaveTools_13RandomNLWaves_eta(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_13RandomNLWaves_3eta_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_13RandomNLWaves_eta(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_13RandomNLWaves_3eta_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_13RandomNLWaves_3eta_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_13RandomNLWaves_u(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_13RandomNLWaves_1u_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_13RandomNLWaves_u(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_13RandomNLWaves_1u_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_13RandomNLWaves_1u_5__del__(o);
  }
}
 
static PyObject *__pyx_getprop_9WaveTools_13RandomNLWaves_eta_linear(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_9WaveTools_13RandomNLWaves_10eta_linear_1__get__(o);
}
 
static int __pyx_setprop_9WaveTools_13RandomNLWaves_eta_linear(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_9WaveTools_13RandomNLWaves_10eta_linear_3__set__(o, v);
  }
  else {
    return __pyx_pw_9WaveTools_13RandomNLWaves_10eta_linear_5__del__(o);
  }
}
 
static PyMethodDef __pyx_methods_9WaveTools_RandomNLWaves[] = {
  {"eta_2ndOrder", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_3eta_2ndOrder, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_2eta_2ndOrder},
  {"eta_short", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_5eta_short, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_4eta_short},
  {"eta_long", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_7eta_long, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_6eta_long},
  {"eta_setUp", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_9eta_setUp, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_8eta_setUp},
  {"eta_overall", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_11eta_overall, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_10eta_overall},
  {"writeEtaSeries", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_13writeEtaSeries, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_12writeEtaSeries},
  {"wtError", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_9WaveTools_13RandomNLWaves_15wtError, METH_VARARGS|METH_KEYWORDS, __pyx_doc_9WaveTools_13RandomNLWaves_14wtError},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_9WaveTools_13RandomNLWaves_17__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_9WaveTools_13RandomNLWaves_19__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};
 
static struct PyGetSetDef __pyx_getsets_9WaveTools_RandomNLWaves[] = {
  {(char *)"eta", __pyx_getprop_9WaveTools_13RandomNLWaves_eta, __pyx_setprop_9WaveTools_13RandomNLWaves_eta, (char *)0, 0},
  {(char *)"u", __pyx_getprop_9WaveTools_13RandomNLWaves_u, __pyx_setprop_9WaveTools_13RandomNLWaves_u, (char *)0, 0},
  {(char *)"eta_linear", __pyx_getprop_9WaveTools_13RandomNLWaves_eta_linear, __pyx_setprop_9WaveTools_13RandomNLWaves_eta_linear, (char *)0, 0},
  {0, 0, 0, 0, 0}
};
 
static PyTypeObject __pyx_type_9WaveTools_RandomNLWaves = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.RandomNLWaves", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools_RandomNLWaves), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools_RandomNLWaves, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    This class is contains functions for calculating random waves with 2nd order corrections\n\n    Parameters\n    ----------\n    Tstart : float\n             Start time\n    Tend : float\n             End time\n    Tp : float\n             Peak wave period\n    Hs : float\n             Significant wave height\n    mwl : float\n             Still water level\n    depth : float\n             Water depth\n    waveDir : numpy.ndarray\n             Wave direction vector\n    g : Numpy array\n             Gravitational acceleration vector\n    N : int\n             Number of frequency components\n    bandFactor : float\n             Spectral band factor. fmax = bandFactor/Tp, fmin = 1/(bandFactor*Tp)\n    spectName : string\n             Name of spectral distribution\n    spectral_params : dict\n             Dictionary of arguments specific to the spectral distribution\n            Example for JONSWAP = {\"gamma\": 3.3, \"TMA\":True,\"depth\": depth}\n            TMA=True activates the TMA modification, which in turn needs the depth as a parameter            \n    phi : numpy.ndarray\n             Component phases (if set to None, phases are picked at random)            \n    fast : bool\n           Switch for enabling optimised functions             \n    ", /*tp_doc*/
  __pyx_tp_traverse_9WaveTools_RandomNLWaves, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools_RandomNLWaves, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_9WaveTools_RandomNLWaves, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_9WaveTools_RandomNLWaves, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_9WaveTools_13RandomNLWaves_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools_RandomNLWaves, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
 
static struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *__pyx_freelist_9WaveTools___pyx_scope_struct____cinit__[8];
static int __pyx_freecount_9WaveTools___pyx_scope_struct____cinit__ = 0;
 
static PyObject *__pyx_tp_new_9WaveTools___pyx_scope_struct____cinit__(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9WaveTools___pyx_scope_struct____cinit__ > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__)))) {
    o = (PyObject*)__pyx_freelist_9WaveTools___pyx_scope_struct____cinit__[--__pyx_freecount_9WaveTools___pyx_scope_struct____cinit__];
    memset(o, 0, sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}
 
static void __pyx_tp_dealloc_9WaveTools___pyx_scope_struct____cinit__(PyObject *o) {
  struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *p = (struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_self);
  Py_CLEAR(p->__pyx_v_xfocus);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9WaveTools___pyx_scope_struct____cinit__ < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__)))) {
    __pyx_freelist_9WaveTools___pyx_scope_struct____cinit__[__pyx_freecount_9WaveTools___pyx_scope_struct____cinit__++] = ((struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}
 
static int __pyx_tp_traverse_9WaveTools___pyx_scope_struct____cinit__(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *p = (struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *)o;
  if (p->__pyx_v_self) {
    e = (*v)(((PyObject *)p->__pyx_v_self), a); if (e) return e;
  }
  if (p->__pyx_v_xfocus) {
    e = (*v)(p->__pyx_v_xfocus, a); if (e) return e;
  }
  return 0;
}
 
static int __pyx_tp_clear_9WaveTools___pyx_scope_struct____cinit__(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *p = (struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__ *)o;
  tmp = ((PyObject*)p->__pyx_v_self);
  p->__pyx_v_self = ((struct __pyx_obj_9WaveTools_NewWave *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->__pyx_v_xfocus);
  p->__pyx_v_xfocus = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}
 
static PyTypeObject __pyx_type_9WaveTools___pyx_scope_struct____cinit__ = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.__pyx_scope_struct____cinit__", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct____cinit__), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools___pyx_scope_struct____cinit__, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9WaveTools___pyx_scope_struct____cinit__, /*tp_traverse*/
  __pyx_tp_clear_9WaveTools___pyx_scope_struct____cinit__, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools___pyx_scope_struct____cinit__, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
 
static struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr *__pyx_freelist_9WaveTools___pyx_scope_struct_1_genexpr[8];
static int __pyx_freecount_9WaveTools___pyx_scope_struct_1_genexpr = 0;
 
static PyObject *__pyx_tp_new_9WaveTools___pyx_scope_struct_1_genexpr(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_9WaveTools___pyx_scope_struct_1_genexpr > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr)))) {
    o = (PyObject*)__pyx_freelist_9WaveTools___pyx_scope_struct_1_genexpr[--__pyx_freecount_9WaveTools___pyx_scope_struct_1_genexpr];
    memset(o, 0, sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}
 
static void __pyx_tp_dealloc_9WaveTools___pyx_scope_struct_1_genexpr(PyObject *o) {
  struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr *)o;
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  Py_CLEAR(p->__pyx_outer_scope);
  Py_CLEAR(p->__pyx_v_j);
  Py_CLEAR(p->__pyx_t_0);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_9WaveTools___pyx_scope_struct_1_genexpr < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr)))) {
    __pyx_freelist_9WaveTools___pyx_scope_struct_1_genexpr[__pyx_freecount_9WaveTools___pyx_scope_struct_1_genexpr++] = ((struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}
 
static int __pyx_tp_traverse_9WaveTools___pyx_scope_struct_1_genexpr(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr *p = (struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr *)o;
  if (p->__pyx_outer_scope) {
    e = (*v)(((PyObject *)p->__pyx_outer_scope), a); if (e) return e;
  }
  if (p->__pyx_v_j) {
    e = (*v)(p->__pyx_v_j, a); if (e) return e;
  }
  if (p->__pyx_t_0) {
    e = (*v)(p->__pyx_t_0, a); if (e) return e;
  }
  return 0;
}
 
static PyTypeObject __pyx_type_9WaveTools___pyx_scope_struct_1_genexpr = {
  PyVarObject_HEAD_INIT(0, 0)
  "WaveTools.__pyx_scope_struct_1_genexpr", /*tp_name*/
  sizeof(struct __pyx_obj_9WaveTools___pyx_scope_struct_1_genexpr), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_9WaveTools___pyx_scope_struct_1_genexpr, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_9WaveTools___pyx_scope_struct_1_genexpr, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_9WaveTools___pyx_scope_struct_1_genexpr, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
 
static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};
 
#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_WaveTools(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_WaveTools},
  {0, NULL}
};
#endif
 
static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
    "WaveTools",
    __pyx_k_Tools_for_working_with_water_wav, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
    -1, /* m_size */
  #endif
    __pyx_methods /* m_methods */,
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    __pyx_moduledef_slots, /* m_slots */
  #else
    NULL, /* m_reload */
  #endif
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif
 
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 *     raise TypeError("self.Bcoeff_,self.Ycoeff_,self._cpp_eta,self._cpp_u,self.kDir_,self.mV_,self.tanhF_,self.vDir_,self.waveDir_ cannot be converted to a Python object for pickling")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__21 = PyTuple_Pack(1, __pyx_kp_s_self_Bcoeff__self_Ycoeff__self); if (unlikely(!__pyx_tuple__21)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__21);
  __Pyx_GIVEREF(__pyx_tuple__21);
 
  /* "WaveTools.py":1267
 *              self.kDir[:,ii] = self.ki[:] * self.waveDir[ii]
 *         if(self.N > 10000):
 *             logEvent("ERROR! Wavetools.py: Maximum number of frequencies for Random Waves is 10000 ",level=0)             # <<<<<<<<<<<<<<
 *         self.phi= -sum(self.kDir[:,j]*xfocus[j] for j in range(3))+tfocus*self.omega
 * 
 */
  __pyx_tuple__23 = PyTuple_Pack(1, __pyx_kp_s_ERROR_Wavetools_py_Maximum_numbe); if (unlikely(!__pyx_tuple__23)) __PYX_ERR(0, 1267, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__23);
  __Pyx_GIVEREF(__pyx_tuple__23);
 
  /* "WaveTools.py":1393
 *         np.savetxt(fname,list(zip(time,etaR)))
 *         series = np.zeros((len(time),2),)
 *         series[:,0] = time             # <<<<<<<<<<<<<<
 *         series[:,1] = etaR
 * 
 */
  __pyx_tuple__25 = PyTuple_Pack(2, __pyx_slice__4, __pyx_int_0); if (unlikely(!__pyx_tuple__25)) __PYX_ERR(0, 1393, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__25);
  __Pyx_GIVEREF(__pyx_tuple__25);
 
  /* "WaveTools.py":1394
 *         series = np.zeros((len(time),2),)
 *         series[:,0] = time
 *         series[:,1] = etaR             # <<<<<<<<<<<<<<
 * 
 *         return series
 */
  __pyx_tuple__26 = PyTuple_Pack(2, __pyx_slice__4, __pyx_int_1); if (unlikely(!__pyx_tuple__26)) __PYX_ERR(0, 1394, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__26);
  __Pyx_GIVEREF(__pyx_tuple__26);
 
  /* "(tree fragment)":2
 * def __reduce_cython__(self):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 */
  __pyx_tuple__27 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__27)) __PYX_ERR(1, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__27);
  __Pyx_GIVEREF(__pyx_tuple__27);
 
  /* "(tree fragment)":4
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__28 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__28)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__28);
  __Pyx_GIVEREF(__pyx_tuple__28);
 
  /* "(tree fragment)":2
 * def __reduce_cython__(self):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 */
  __pyx_tuple__30 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__30)) __PYX_ERR(1, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__30);
  __Pyx_GIVEREF(__pyx_tuple__30);
 
  /* "(tree fragment)":4
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__31 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__31)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);
 
  /* "WaveTools.py":1734
 *             self.Nall+=nn
 *         if(self.Nall > 10000):
 *             logEvent("ERROR! Wavetools.py: Maximum (number of frequencies) x (No of spectra) for MultispectraRandomWaves is 10000 ",level=0)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_tuple__32 = PyTuple_Pack(1, __pyx_kp_s_ERROR_Wavetools_py_Maximum_numbe_2); if (unlikely(!__pyx_tuple__32)) __PYX_ERR(0, 1734, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__32);
  __Pyx_GIVEREF(__pyx_tuple__32);
 
  /* "WaveTools.py":1769
 *             self.kiM[NN1:NN] = RW.ki
 *             self.aiM[NN1:NN] = RW.ai
 *             self.kDirM[NN1:NN,:] =RW.kDir[:,:]             # <<<<<<<<<<<<<<
 *             self.phiM[NN1:NN] = RW.phi
 *         for ij in range(3):
 */
  __pyx_tuple__33 = PyTuple_Pack(2, __pyx_slice__4, __pyx_slice__4); if (unlikely(!__pyx_tuple__33)) __PYX_ERR(0, 1769, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__33);
  __Pyx_GIVEREF(__pyx_tuple__33);
 
  /* "(tree fragment)":2
 * def __reduce_cython__(self):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 */
  __pyx_tuple__34 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__34)) __PYX_ERR(1, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__34);
  __Pyx_GIVEREF(__pyx_tuple__34);
 
  /* "(tree fragment)":4
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__35 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__35)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__35);
  __Pyx_GIVEREF(__pyx_tuple__35);
 
  /* "WaveTools.py":1924
 *         self.vDir = setVertDir(g)
 *         if(self.Nall > 100000):
 *             logEvent("ERROR! Wavetools.py: Maximum (number of frequencies) x (No of spectra) for DirectionalWaves is 100000 ",level=0)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_tuple__36 = PyTuple_Pack(1, __pyx_kp_s_ERROR_Wavetools_py_Maximum_numbe_3); if (unlikely(!__pyx_tuple__36)) __PYX_ERR(0, 1924, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__36);
  __Pyx_GIVEREF(__pyx_tuple__36);
 
  /* "WaveTools.py":1954
 *         self.gAbs = sqrt(g[0]*g[0]+g[1]*g[1]+g[2]*g[2])
 * 
 *         temp_array = np.zeros((1,3),)             # <<<<<<<<<<<<<<
 *         temp_array[0,:] = waveDir0
 *         directions = list(range(0,self.Mtot))
 */
  __pyx_tuple__37 = PyTuple_Pack(2, __pyx_int_1, __pyx_int_3); if (unlikely(!__pyx_tuple__37)) __PYX_ERR(0, 1954, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__37);
  __Pyx_GIVEREF(__pyx_tuple__37);
 
  /* "(tree fragment)":2
 * def __reduce_cython__(self):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 */
  __pyx_tuple__38 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__38)) __PYX_ERR(1, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__38);
  __Pyx_GIVEREF(__pyx_tuple__38);
 
  /* "(tree fragment)":4
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__39 = PyTuple_Pack(1, __pyx_kp_s_no_default___reduce___due_to_non); if (unlikely(!__pyx_tuple__39)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__39);
  __Pyx_GIVEREF(__pyx_tuple__39);
 
  /* "WaveTools.py":2163
 *             self.x0 = timeSeriesPosition
 *         else:
 *             logEvent("ERROR! Wavetools.py: Location vector for timeSeries must have three-components",level=0)             # <<<<<<<<<<<<<<
 *             sys.exit(1)
 * 
 */
  __pyx_tuple__41 = PyTuple_Pack(1, __pyx_kp_s_ERROR_Wavetools_py_Location_vect_2); if (unlikely(!__pyx_tuple__41)) __PYX_ERR(0, 2163, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__41);
  __Pyx_GIVEREF(__pyx_tuple__41);
 
  /* "WaveTools.py":2185
 *             tdata = seriesArray
 *         else:
 *             filetype = timeSeriesFile[-4:]             # <<<<<<<<<<<<<<
 *             fid = open(timeSeriesFile,"r")
 *             if (filetype !=".txt") and (filetype != ".csv"):
 */
  __pyx_slice__42 = PySlice_New(__pyx_int_neg_4, Py_None, Py_None); if (unlikely(!__pyx_slice__42)) __PYX_ERR(0, 2185, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_slice__42);
  __Pyx_GIVEREF(__pyx_slice__42);
 
  /* "WaveTools.py":2218
 *                 doInterp = True
 *         if(doInterp):
 *             logEvent("INFO WaveTools.py: Not constant sampling rate found, proceeding to signal interpolation to a constant sampling rate",level=0)             # <<<<<<<<<<<<<<
 *             self.time = np.linspace(time_temp[0],time_temp[-1],len(time_temp))
 *             self.etaS = np.interp(self.time,time_temp,tdata[:,1])
 */
  __pyx_tuple__44 = PyTuple_Pack(1, __pyx_kp_s_INFO_WaveTools_py_Not_constant_s); if (unlikely(!__pyx_tuple__44)) __PYX_ERR(0, 2218, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__44);
  __Pyx_GIVEREF(__pyx_tuple__44);
 
  /* "WaveTools.py":2343
 * # Setting where each window starts and ends
 *             for jj in range(self.Nwindows):
 *                 span = np.zeros(2,"d")             # <<<<<<<<<<<<<<
 *                 tfirst = self.time[0] + self.Twindow
 *                 tlast = self.time[-1] - self.Twindow
 */
  __pyx_tuple__45 = PyTuple_Pack(2, __pyx_int_2, __pyx_n_s_d); if (unlikely(!__pyx_tuple__45)) __PYX_ERR(0, 2343, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__45);
  __Pyx_GIVEREF(__pyx_tuple__45);
 
  /* "WaveTools.py":2406
 *             for ii in range(len(self.windows_handover)):
 *                 self.whand_c[ii] = self.windows_handover[ii]
 *                 self.T0[ii] = self.windows_rec[ii][0,0]             # <<<<<<<<<<<<<<
 *             self.whand_ = self.whand_c
 *             self.T0_ = self.T0
 */
  __pyx_tuple__46 = PyTuple_Pack(2, __pyx_int_0, __pyx_int_0); if (unlikely(!__pyx_tuple__46)) __PYX_ERR(0, 2406, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__46);
  __Pyx_GIVEREF(__pyx_tuple__46);
 
  /* "(tree fragment)":2
 * def __reduce_cython__(self):
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")             # <<<<<<<<<<<<<<
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")
 */
  __pyx_tuple__47 = PyTuple_Pack(1, __pyx_kp_s_self_T0__self__cpp_eta_self__cpp); if (unlikely(!__pyx_tuple__47)) __PYX_ERR(1, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__47);
  __Pyx_GIVEREF(__pyx_tuple__47);
 
  /* "(tree fragment)":4
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__48 = PyTuple_Pack(1, __pyx_kp_s_self_T0__self__cpp_eta_self__cpp); if (unlikely(!__pyx_tuple__48)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__48);
  __Pyx_GIVEREF(__pyx_tuple__48);
 
  /* "WaveTools.py":2694
 *         self.series = RW.writeEtaSeries(Tstart,Tend,x0,fname,4.*self.Lgen)
 *         self.cutoff = max(0.2*self.Tp , cutoff_win*Nwaves*Tp)
 *         duration = (self.series[-1,0]-self.series[0,0])             # <<<<<<<<<<<<<<
 *         self.cutoff  = old_div(self.cutoff, duration)
 *         Tm = old_div(self.Tp,1.1)
 */
  __pyx_tuple__49 = PyTuple_Pack(2, __pyx_int_neg_1, __pyx_int_0); if (unlikely(!__pyx_tuple__49)) __PYX_ERR(0, 2694, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__49);
  __Pyx_GIVEREF(__pyx_tuple__49);
 
  /* "WaveTools.py":2743
 *         self.er1 = old_div(max(errors[:]),self.Hs)
 *         if self.er1 > 0.01 and checkAcc:
 *                 logEvent('ERROR!: WaveTools.py: Found large errors error={s}) during window reconstruction at RandomWavesFast. Please a) Increase Nfreq, b) Decrease waves per window to decrease error < 1%. You can set checkAcc = False if you want to proceed with these errors',level=0)             # <<<<<<<<<<<<<<
 *                 sys.exit(1)
 * 
 */
  __pyx_tuple__50 = PyTuple_Pack(1, __pyx_kp_s_ERROR_WaveTools_py_Found_large_e); if (unlikely(!__pyx_tuple__50)) __PYX_ERR(0, 2743, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__50);
  __Pyx_GIVEREF(__pyx_tuple__50);
 
  /* "WaveTools.py":3125
 *         """
 * 
 *         logEvent("ERROR! Wavetools.py: eta and u functions not available for this class. Please use RandomNLWavesFast for generating random waves with nonlinear correction",0)             # <<<<<<<<<<<<<<
 *         sys.exit(1)
 * 
 */
  __pyx_tuple__53 = PyTuple_Pack(2, __pyx_kp_s_ERROR_Wavetools_py_eta_and_u_fun, __pyx_int_0); if (unlikely(!__pyx_tuple__53)) __PYX_ERR(0, 3125, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__53);
  __Pyx_GIVEREF(__pyx_tuple__53);
 
  /* "(tree fragment)":2
 * def __reduce_cython__(self):
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")             # <<<<<<<<<<<<<<
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")
 */
  __pyx_tuple__54 = PyTuple_Pack(1, __pyx_kp_s_self_ai__self_kDir__self_ki__sel); if (unlikely(!__pyx_tuple__54)) __PYX_ERR(1, 2, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__54);
  __Pyx_GIVEREF(__pyx_tuple__54);
 
  /* "(tree fragment)":4
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")             # <<<<<<<<<<<<<<
 */
  __pyx_tuple__55 = PyTuple_Pack(1, __pyx_kp_s_self_ai__self_kDir__self_ki__sel); if (unlikely(!__pyx_tuple__55)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__55);
  __Pyx_GIVEREF(__pyx_tuple__55);
  __pyx_tuple__56 = PyTuple_Pack(3, __pyx_int_237135047, __pyx_int_68501386, __pyx_int_235956263); if (unlikely(!__pyx_tuple__56)) __PYX_ERR(1, 4, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__56);
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  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":945
 *         __pyx_import_array()
 *     except Exception:
 *         raise ImportError("numpy.core.multiarray failed to import")             # <<<<<<<<<<<<<<
 * 
 * cdef inline int import_umath() except -1:
 */
  __pyx_tuple__58 = PyTuple_Pack(1, __pyx_kp_s_numpy_core_multiarray_failed_to); if (unlikely(!__pyx_tuple__58)) __PYX_ERR(3, 945, __pyx_L1_error)
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  /* "../miniconda3/envs/proteus-dev-up/lib/python3.10/site-packages/numpy/__init__.pxd":951
 *         _import_umath()
 *     except Exception:
 *         raise ImportError("numpy.core.umath failed to import")             # <<<<<<<<<<<<<<
 * 
 * cdef inline int import_ufunc() except -1:
 */
  __pyx_tuple__59 = PyTuple_Pack(1, __pyx_kp_s_numpy_core_umath_failed_to_impor); if (unlikely(!__pyx_tuple__59)) __PYX_ERR(3, 951, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__59);
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  /* "WaveTools.py":67
 * 
 * 
 * def fastcos_test(phase,sinus=False):             # <<<<<<<<<<<<<<
 *     """Fast cosine function with Taylor approximation - TO BE USED FOR TESTING"
 *     Parameters
 */
  __pyx_tuple__60 = PyTuple_Pack(2, __pyx_n_s_phase, __pyx_n_s_sinus); if (unlikely(!__pyx_tuple__60)) __PYX_ERR(0, 67, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__60);
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  __pyx_codeobj__61 = (PyObject*)__Pyx_PyCode_New(2, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__60, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_fastcos_test, 67, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__61)) __PYX_ERR(0, 67, __pyx_L1_error)
  __pyx_tuple__62 = PyTuple_Pack(1, ((PyObject *)Py_False)); if (unlikely(!__pyx_tuple__62)) __PYX_ERR(0, 67, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__62);
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  /* "WaveTools.py":84
 *         phase = old_div(np.pi,2.) - phase
 *     return fastcos(phase,True)
 * def fastcosh_test(k,Z,fast=True):             # <<<<<<<<<<<<<<
 *     """Fast hyperbolic cosine function with Taylor approximation - TO BE USED FOR TESTING"
 *     Parameters
 */
  __pyx_tuple__63 = PyTuple_Pack(4, __pyx_n_s_k, __pyx_n_s_Z, __pyx_n_s_fast, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__63)) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__63);
  __Pyx_GIVEREF(__pyx_tuple__63);
  __pyx_codeobj__64 = (PyObject*)__Pyx_PyCode_New(3, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__63, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_fastcosh_test, 84, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__64)) __PYX_ERR(0, 84, __pyx_L1_error)
  __pyx_tuple__65 = PyTuple_Pack(1, ((PyObject *)Py_True)); if (unlikely(!__pyx_tuple__65)) __PYX_ERR(0, 84, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__65);
  __Pyx_GIVEREF(__pyx_tuple__65);
 
  /* "WaveTools.py":100
 *     fastcosh(xx,k,Z,fast)
 *     return xx[0]
 * def fastsinh_test(k,Z,fast=True):             # <<<<<<<<<<<<<<
 *     """Fast hyperbolic sine function with Taylor approximation - TO BE USED FOR TESTING"
 *     Parameters
 */
  __pyx_tuple__66 = PyTuple_Pack(4, __pyx_n_s_k, __pyx_n_s_Z, __pyx_n_s_fast, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__66)) __PYX_ERR(0, 100, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__66);
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 * 
 * 
 * def coshkzd_test(k,Z,d, fast=True):             # <<<<<<<<<<<<<<
 *     """Calculation of u horizontal profile cosh(k(d+Z))/sinh(kd) using fast appoximaitons
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 */
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 *         return 0.
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 * def sinhkzd_test(k,Z,d,fast=True):             # <<<<<<<<<<<<<<
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 */
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 *         return 0.
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 * def loadExistingFunction(funcName, validFunctions):             # <<<<<<<<<<<<<<
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 */
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  /* "WaveTools.py":198
 * 
 * 
 * def setVertDir(g):             # <<<<<<<<<<<<<<
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 * 
 */
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  /* "WaveTools.py":216
 * 
 * 
 * def setDirVector(vector):             # <<<<<<<<<<<<<<
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 */
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  /* "WaveTools.py":231
 *     return old_div(vector,(sqrt(vector[0]**2 + vector[1]**2 + vector[2]**2)))
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 * def dirCheck(v1, v2):             # <<<<<<<<<<<<<<
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 */
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  /* "WaveTools.py":258
 *     else:
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 * def reduceToIntervals(fi,df):             # <<<<<<<<<<<<<<
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 */
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  /* "WaveTools.py":279
 *     fim_tmp = (0.5*(fi[1:]+fi[:-1])).tolist()
 *     return np.array([fim_tmp[0]-0.5*df]+fim_tmp+[fim_tmp[-1]+0.5*df])
 * def returnRectangles(a,x):             # <<<<<<<<<<<<<<
 *     """ Returns 2D discrete integral array using the rectangle method
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 */
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  /* "WaveTools.py":299
 *     """
 *     return 0.5*(a[1:]+a[:-1])*(x[1:]-x[:-1])
 * def returnRectangles3D(a,x,y):             # <<<<<<<<<<<<<<
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 */
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  /* "WaveTools.py":326
 *         ai[:,jj] *= (x[1:]-x[:-1])
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 * 
 */
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  /* "WaveTools.py":349
 * 
 * 
 * def eta_mode(x, t, kDir, omega, phi, amplitude):             # <<<<<<<<<<<<<<
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 * 
 */
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  /* "WaveTools.py":375
 *     phase = x[0]*kDir[0]+x[1]*kDir[1]+x[2]*kDir[2] - omega*t  + phi
 *     return amplitude*cos(phase)
 * def Udrift(amp,gAbs,c,d):             # <<<<<<<<<<<<<<
 *     """Calculates the 2nd order Stokes drift for a linear mode
 * 
 */
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  /* "WaveTools.py":397
 *     return 0.5*gAbs*amp*amp/c/d
 * 
 * def  vel_mode(x,  t, kDir, kAbs,  omega,  phi,  amplitude,  mwl, depth, vDir, gAbs):             # <<<<<<<<<<<<<<
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 */
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  /* "WaveTools.py":447
 * 
 * 
 * def sigma(omega,omega0):             # <<<<<<<<<<<<<<
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 * 
 */
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  /* "WaveTools.py":466
 *     return sigmaReturn
 * 
 * def custom():             # <<<<<<<<<<<<<<
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 */
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 * def custom():
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 * def JONSWAP(f,f0,Hs,gamma=3.3,TMA=False, depth = None):             # <<<<<<<<<<<<<<
 *     """Calculates the JONSWAP frequency spectrum (Goda 2009)
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 */
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  /* "WaveTools.py":508
 *     return tma * bj*(Hs**2)*(old_div(1.,((Tp**4) *(f**5))))*np.exp(-1.25*(old_div(1.,(Tp*f)**(4.))))*(gamma**r)
 * 
 * def PM_mod(f,f0,Hs):             # <<<<<<<<<<<<<<
 *     """Calculates the Pierson-Moskovitz spectrum (or Bretschneider or ISSC)
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 */
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  /* "WaveTools.py":532
 *     return (old_div(5.0,16.0))*Hs**2*(old_div(f0**4,f**5))*np.exp((old_div(-5.0,4.0))*(old_div(f0,f))**4)
 * 
 * def cos2s(theta,f,s=10):             # <<<<<<<<<<<<<<
 *     """Calculates the cos-2s directional spreading function
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  /* "WaveTools.py":554
 *         fun[:,ii] = np.cos(old_div(theta,2))**(2*s)
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 */
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  /* "WaveTools.py":588
 * 
 * 
 * def dispersion(w,d, g = 9.81,niter = 1000):             # <<<<<<<<<<<<<<
 *     """Calculates the wave number for single or multiple frequencies using linear dispersion relation.
 * 
 */
  __pyx_tuple__111 = PyTuple_Pack(7, __pyx_n_s_w, __pyx_n_s_d, __pyx_n_s_g, __pyx_n_s_niter, __pyx_n_s_w_aux, __pyx_n_s_K, __pyx_n_s_jj); if (unlikely(!__pyx_tuple__111)) __PYX_ERR(0, 588, __pyx_L1_error)
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  /* "WaveTools.py":617
 * 
 * 
 * def tophat(l,cutoff):             # <<<<<<<<<<<<<<
 *     """ Calculates and returns a top hat filter array
 * 
 */
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  /* "WaveTools.py":637
 *     return a
 * 
 * def costap(l,cutoff=0.1):             # <<<<<<<<<<<<<<
 *     """ Calculates and returns a top hat filter array
 * 
 */
  __pyx_tuple__116 = PyTuple_Pack(5, __pyx_n_s_l, __pyx_n_s_cutoff, __pyx_n_s_npoints, __pyx_n_s_wind, __pyx_n_s_k); if (unlikely(!__pyx_tuple__116)) __PYX_ERR(0, 637, __pyx_L1_error)
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  /* "WaveTools.py":660
 *     return wind
 * 
 * def decompose_tseries(time,eta,dt):             # <<<<<<<<<<<<<<
 *     """ Performs spectral analysis and calculates angular frequency components, amplitude, phase and mean level power
 *     of a time series with constant sampling.
 */
  __pyx_tuple__119 = PyTuple_Pack(13, __pyx_n_s_time, __pyx_n_s_eta, __pyx_n_s_dt, __pyx_n_s_nfft, __pyx_n_s_results, __pyx_n_s_fft_x, __pyx_n_s_freq, __pyx_n_s_iend, __pyx_n_s_setup, __pyx_n_s_aa, __pyx_n_s_ww, __pyx_n_s_pp, __pyx_n_s_k); if (unlikely(!__pyx_tuple__119)) __PYX_ERR(0, 660, __pyx_L1_error)
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  /* "WaveTools.py":736
 *         self.ramp = rampTime
 * 
 *     def eta(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates free surface elevation (SolitaryWave class)
 *         Parameters
 */
  __pyx_tuple__121 = PyTuple_Pack(3, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t); if (unlikely(!__pyx_tuple__121)) __PYX_ERR(0, 736, __pyx_L1_error)
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  /* "WaveTools.py":752
 *         """
 *         return 0.
 *     def u(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates wave velocity vector (SolitaryWave class).
 *         Parameters
 */
  __pyx_tuple__123 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_U); if (unlikely(!__pyx_tuple__123)) __PYX_ERR(0, 752, __pyx_L1_error)
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  /* "(tree fragment)":1
 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
 *     cdef tuple state
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  /* "(tree fragment)":16
 *     else:
 *         return __pyx_unpickle_SteadyCurrent, (type(self), 0xe2264c7, state)
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
 *     __pyx_unpickle_SteadyCurrent__set_state(self, __pyx_state)
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  /* "WaveTools.py":804
 *                  g,
 *                  waveDir,
 *                  trans = np.zeros(3,"d"),             # <<<<<<<<<<<<<<
 *                  fast = True):
 * 
 */
  __pyx_tuple__129 = PyTuple_Pack(2, __pyx_int_3, __pyx_n_s_d); if (unlikely(!__pyx_tuple__129)) __PYX_ERR(0, 804, __pyx_L1_error)
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  /* "WaveTools.py":823
 *         dirCheck(self.waveDir,self.vDir)
 * 
 *     def eta(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates free surface elevation (SolitaryWave class)
 *         Parameters
 */
  __pyx_tuple__130 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_phase, __pyx_n_s_a1); if (unlikely(!__pyx_tuple__130)) __PYX_ERR(0, 823, __pyx_L1_error)
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  /* "WaveTools.py":841
 *         a1 = self.K*phase
 *         return  self.H*1.0/ cosh(a1)**2
 *     def u(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates wave velocity vector (SolitaryWave class).
 *         Parameters
 */
  __pyx_tuple__132 = PyTuple_Pack(9, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_phase, __pyx_n_s_a1, __pyx_n_s_a2, __pyx_n_s_Z, __pyx_n_s_Uhorz, __pyx_n_s_Uvert); if (unlikely(!__pyx_tuple__132)) __PYX_ERR(0, 841, __pyx_L1_error)
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  /* "(tree fragment)":1
 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
 *     cdef tuple state
 *     cdef object _dict
 */
  __pyx_tuple__134 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_state, __pyx_n_s_dict_2, __pyx_n_s_use_setstate); if (unlikely(!__pyx_tuple__134)) __PYX_ERR(1, 1, __pyx_L1_error)
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  /* "(tree fragment)":16
 *     else:
 *         return __pyx_unpickle_SolitaryWave, (type(self), 0x9a37670, state)
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
 *     __pyx_unpickle_SolitaryWave__set_state(self, __pyx_state)
 */
  __pyx_tuple__136 = PyTuple_Pack(2, __pyx_n_s_self, __pyx_n_s_pyx_state); if (unlikely(!__pyx_tuple__136)) __PYX_ERR(1, 16, __pyx_L1_error)
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  /* "WaveTools.py":952
 *                  autoFenton=True,
 *                  autoFentonOpts=None,
 *                  Ycoeff = np.zeros(1000,),             # <<<<<<<<<<<<<<
 *                  Bcoeff =np.zeros(1000,),
 *                  Nf = 1000,
 */
  __pyx_tuple__138 = PyTuple_Pack(1, __pyx_int_1000); if (unlikely(!__pyx_tuple__138)) __PYX_ERR(0, 952, __pyx_L1_error)
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  /* "WaveTools.py":1106
 *         __cpp_uFenton(U,x, t, self.kDir_,self.k,self.omega,self.phi0,self.amplitude,self.mwl, self.depth, self.gAbs,self.Nf, self.Bcoeff_, self.mV_,self.waveDir_,self.vDir_, self.tanhF_, self.fast)
 * 
 *     def eta(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates free surface elevation (MonochromaticWaves class)
 *         Parameters
 */
  __pyx_tuple__139 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__139)) __PYX_ERR(0, 1106, __pyx_L1_error)
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  __pyx_codeobj__140 = (PyObject*)__Pyx_PyCode_New(3, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__139, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_eta, 1106, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__140)) __PYX_ERR(0, 1106, __pyx_L1_error)
 
  /* "WaveTools.py":1130
 *             return self.etaFenton(xx,t)
 * 
 *     def u(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates wave velocity vector (MonochromaticWaves class).
 *         Parameters
 */
  __pyx_tuple__141 = PyTuple_Pack(7, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx, __pyx_n_s_cppU, __pyx_n_s_ii, __pyx_n_s_U); if (unlikely(!__pyx_tuple__141)) __PYX_ERR(0, 1130, __pyx_L1_error)
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  /* "(tree fragment)":1
 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
 *     raise TypeError("self.Bcoeff_,self.Ycoeff_,self._cpp_eta,self._cpp_u,self.kDir_,self.mV_,self.tanhF_,self.vDir_,self.waveDir_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):
 */
  __pyx_tuple__143 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__143)) __PYX_ERR(1, 1, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__143);
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  /* "(tree fragment)":3
 * def __reduce_cython__(self):
 *     raise TypeError("self.Bcoeff_,self.Ycoeff_,self._cpp_eta,self._cpp_u,self.kDir_,self.mV_,self.tanhF_,self.vDir_,self.waveDir_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
 *     raise TypeError("self.Bcoeff_,self.Ycoeff_,self._cpp_eta,self._cpp_u,self.kDir_,self.mV_,self.tanhF_,self.vDir_,self.waveDir_ cannot be converted to a Python object for pickling")
 */
  __pyx_tuple__145 = PyTuple_Pack(2, __pyx_n_s_self, __pyx_n_s_pyx_state); if (unlikely(!__pyx_tuple__145)) __PYX_ERR(1, 3, __pyx_L1_error)
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  __pyx_codeobj__146 = (PyObject*)__Pyx_PyCode_New(2, 0, 2, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__145, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_stringsource, __pyx_n_s_setstate_cython, 3, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__146)) __PYX_ERR(1, 3, __pyx_L1_error)
 
  /* "WaveTools.py":1299
 *         return __cpp_etaRandom(x,t,self.kDir_, self.omega_,self.phi_,self.ai_, self.N, self.fast)
 * 
 *     def eta(self, x, t):             # <<<<<<<<<<<<<<
 *         """Calculates free surface elevation (RandomWaves class)
 *         Parameters
 */
  __pyx_tuple__147 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__147)) __PYX_ERR(0, 1299, __pyx_L1_error)
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  /* "WaveTools.py":1323
 *         __cpp_uRandom(U, x,t,self.kDir_, self.ki_, self.omega_,self.phi_,self.ai_,self.mwl,self.depth, self.N, self.waveDir_, self.vDir_, self.tanh_, self.gAbs, self.fast)
 * 
 *     def u(self, x, t):             # <<<<<<<<<<<<<<
 *         """Calculates wave velocity vector (RandomWaves class)
 *         Parameters
 */
  __pyx_tuple__149 = PyTuple_Pack(7, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx, __pyx_n_s_cppU, __pyx_n_s_ii, __pyx_n_s_U); if (unlikely(!__pyx_tuple__149)) __PYX_ERR(0, 1323, __pyx_L1_error)
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  __pyx_codeobj__150 = (PyObject*)__Pyx_PyCode_New(3, 0, 7, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__149, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_u, 1323, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__150)) __PYX_ERR(0, 1323, __pyx_L1_error)
 
  /* "WaveTools.py":1351
 * 
 *         return U
 *     def writeEtaSeries(self,Tstart,Tend,x0,fname,Lgen= np.array([0.,0,0])):             # <<<<<<<<<<<<<<
 *         """Writes a timeseries of the free-surface elevation
 * 
 */
  __pyx_tuple__151 = PyTuple_Pack(14, __pyx_n_s_self, __pyx_n_s_Tstart, __pyx_n_s_Tend, __pyx_n_s_x0, __pyx_n_s_fname, __pyx_n_s_Lgen, __pyx_n_s_dt, __pyx_n_s_Tlag, __pyx_n_s_j, __pyx_n_s_Np, __pyx_n_s_time, __pyx_n_s_etaR, __pyx_n_s_jj, __pyx_n_s_series); if (unlikely(!__pyx_tuple__151)) __PYX_ERR(0, 1351, __pyx_L1_error)
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  /* "WaveTools.py":2459
 *             self._cpp_u = self._cpp_uWindow
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 *         __cpp_uDirect(U,x,self.x0_,t,self.kDir_,self.ki_,self.omega_,self.phi_,self.ai_,self.mwl,self.depth,self.Nf,self.waveDir_, self.vDir_, self.tanh_, self.gAbs, self.fast)
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  /* "WaveTools.py":2490
 *         return self._cpp_etaDirect(xx,t)
 * 
 *     def uDirect(self, x, t):             # <<<<<<<<<<<<<<
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  /* "WaveTools.py":2519
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 *     def findWindow(self,t):             # <<<<<<<<<<<<<<
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  /* "WaveTools.py":2544
 *         __cpp_uWindow(U,x,self.x0_,t,self.T0_,self.kDir_,self.ki_,self.omega_,self.phi_,self.ai_,self.mwl,self.depth,self.Nf,Nw,self.waveDir_, self.vDir_, self.tanh_, self.gAbs, self.fast)
 * 
 *     def etaWindow(self, x, t):             # <<<<<<<<<<<<<<
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  /* "WaveTools.py":2566
 * 
 * 
 *     def uWindow(self, x, t):             # <<<<<<<<<<<<<<
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 *         Parameters
 */
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  /* "(tree fragment)":1
 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):
 */
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  /* "(tree fragment)":3
 * def __reduce_cython__(self):
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
 *     raise TypeError("self.T0_,self._cpp_eta,self._cpp_u,self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.tanh_,self.vDir_,self.waveDir_,self.whand_ cannot be converted to a Python object for pickling")
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  /* "WaveTools.py":2596
 * 
 * 
 * class RandomWavesFast(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for generating plane random waves in an optimised manner
 */
  __pyx_tuple__199 = PyTuple_Pack(1, __pyx_builtin_object); if (unlikely(!__pyx_tuple__199)) __PYX_ERR(0, 2596, __pyx_L1_error)
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  /* "WaveTools.py":2647
 *     """
 * 
 *     def __init__(self,             # <<<<<<<<<<<<<<
 *                  Tstart,
 *                  Tend,
 */
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  /* "WaveTools.py":2750
 *         self.windOut = TS.windOut
 * 
 *     def printOut(self):             # <<<<<<<<<<<<<<
 *         """Prints some properties of the time series - ONLY FOR TESTING
 * 
 */
  __pyx_tuple__203 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__203)) __PYX_ERR(0, 2750, __pyx_L1_error)
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  /* "WaveTools.py":2861
 *     def _cpp_eta_2ndOrder(self,x,t):
 *         return __cpp_eta2nd(x,t,self.kDir_,self.ki_,self.omega_,self.phi_,self.ai_,self.N,self.sinhKd_,self.tanhKd_, self.fast)
 *     def eta_2ndOrder(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates the free surface elevation for 2nd-order terms
 * 
 */
  __pyx_tuple__205 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__205)) __PYX_ERR(0, 2861, __pyx_L1_error)
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  __pyx_codeobj__206 = (PyObject*)__Pyx_PyCode_New(3, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__205, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_eta_2ndOrder, 2861, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__206)) __PYX_ERR(0, 2861, __pyx_L1_error)
 
  /* "WaveTools.py":2899
 * 
 *     #higher harmonics
 *     def eta_short(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates the free surface elevation for higher-order terms
 * 
 */
  __pyx_tuple__207 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__207)) __PYX_ERR(0, 2899, __pyx_L1_error)
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  /* "WaveTools.py":2940
 * 
 *     #lower harmonics
 *     def eta_long(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates the free surface elevation for lower-order terms
 * 
 */
  __pyx_tuple__209 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_xx); if (unlikely(!__pyx_tuple__209)) __PYX_ERR(0, 2940, __pyx_L1_error)
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  __pyx_codeobj__210 = (PyObject*)__Pyx_PyCode_New(3, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__209, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_eta_long, 2940, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__210)) __PYX_ERR(0, 2940, __pyx_L1_error)
 
  /* "WaveTools.py":2979
 * 
 *     #set-up calculation
 *     def eta_setUp(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates the free surface elevation set up
 * 
 */
  __pyx_tuple__211 = PyTuple_Pack(6, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_EtasetUp, __pyx_n_s_i, __pyx_n_s_wwi_setUp); if (unlikely(!__pyx_tuple__211)) __PYX_ERR(0, 2979, __pyx_L1_error)
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  __pyx_codeobj__212 = (PyObject*)__Pyx_PyCode_New(3, 0, 6, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__211, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_eta_setUp, 2979, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__212)) __PYX_ERR(0, 2979, __pyx_L1_error)
 
  /* "WaveTools.py":3008
 * 
 *     #overall free surface elevation
 *     def eta_overall(self,x,t,setUp=False):             # <<<<<<<<<<<<<<
 *         """Calculates the free surface elevation with 2nd order corrections
 * 
 */
  __pyx_tuple__213 = PyTuple_Pack(6, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_setUp, __pyx_n_s_xx, __pyx_n_s_Etaoverall); if (unlikely(!__pyx_tuple__213)) __PYX_ERR(0, 3008, __pyx_L1_error)
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  /* "WaveTools.py":3037
 * 
 * 
 *     def writeEtaSeries(self,Tstart,Tend,dt,x0,fname, mode="all",setUp=False, Lgen=np.zeros(3,)):             # <<<<<<<<<<<<<<
 *         """Writes a timeseries of the free-surface elevation
 * 
 */
  __pyx_tuple__215 = PyTuple_Pack(1, __pyx_int_3); if (unlikely(!__pyx_tuple__215)) __PYX_ERR(0, 3037, __pyx_L1_error)
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  /* "WaveTools.py":3104
 *         return series
 * 
 *     def wtError(self,x,t):             # <<<<<<<<<<<<<<
 *         """Raises error for using RandomNLWavesFast class instead
 * 
 */
  __pyx_tuple__218 = PyTuple_Pack(3, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t); if (unlikely(!__pyx_tuple__218)) __PYX_ERR(0, 3104, __pyx_L1_error)
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  /* "(tree fragment)":1
 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):
 */
  __pyx_tuple__220 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__220)) __PYX_ERR(1, 1, __pyx_L1_error)
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  /* "(tree fragment)":3
 * def __reduce_cython__(self):
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
 *     raise TypeError("self.ai_,self.kDir_,self.ki_,self.omega_,self.phi_,self.sinhKd_,self.tanhKd_ cannot be converted to a Python object for pickling")
 */
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  /* "WaveTools.py":3130
 * 
 * 
 * class RandomNLWavesFast(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for generating plane random waves with 2ns order correction in an optimised manner
 */
  __pyx_tuple__224 = PyTuple_Pack(1, __pyx_builtin_object); if (unlikely(!__pyx_tuple__224)) __PYX_ERR(0, 3130, __pyx_L1_error)
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  /* "WaveTools.py":3180
 *              Switch for enabling optimised functions
 *     """
 *     def __init__(self,             # <<<<<<<<<<<<<<
 *                  Tstart,
 *                  Tend,
 */
  __pyx_tuple__225 = PyTuple_Pack(35, __pyx_n_s_self, __pyx_n_s_Tstart, __pyx_n_s_Tend, __pyx_n_s_x0, __pyx_n_s_Tp, __pyx_n_s_Hs, __pyx_n_s_mwl, __pyx_n_s_depth, __pyx_n_s_waveDir, __pyx_n_s_g, __pyx_n_s_N, __pyx_n_s_bandFactor, __pyx_n_s_spectName, __pyx_n_s_spectral_params, __pyx_n_s_phi, __pyx_n_s_Lgen, __pyx_n_s_Nwaves, __pyx_n_s_Nfreq, __pyx_n_s_NLongW, __pyx_n_s_fast, __pyx_n_s_aR, __pyx_n_s_aRN, __pyx_n_s_Tmax, __pyx_n_s_modes, __pyx_n_s_periods, __pyx_n_s_ii, __pyx_n_s_mode, __pyx_n_s_fname, __pyx_n_s_dt, __pyx_n_s_series, __pyx_n_s_Tstart_temp, __pyx_n_s_cutoff, __pyx_n_s_Nwaves_tot, __pyx_n_s_Nwind, __pyx_n_s_rec_d); if (unlikely(!__pyx_tuple__225)) __PYX_ERR(0, 3180, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__225);
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  /* "WaveTools.py":3249
 * 
 * 
 *     def eta(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates free surface elevation (RandomNLWavesFast class)
 *         Parameters
 */
  __pyx_tuple__227 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_etaR); if (unlikely(!__pyx_tuple__227)) __PYX_ERR(0, 3249, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__227);
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  __pyx_codeobj__228 = (PyObject*)__Pyx_PyCode_New(3, 0, 4, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__227, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_WaveTools_py, __pyx_n_s_eta, 3249, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__228)) __PYX_ERR(0, 3249, __pyx_L1_error)
 
  /* "WaveTools.py":3268
 * 
 * 
 *     def u(self,x,t):             # <<<<<<<<<<<<<<
 *         """Calculates wave velocity vector (RandomNLWavesFast class)
 *         Parameters
 */
  __pyx_tuple__229 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_x, __pyx_n_s_t, __pyx_n_s_uR); if (unlikely(!__pyx_tuple__229)) __PYX_ERR(0, 3268, __pyx_L1_error)
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  /* "WaveTools.py":3286
 *         return uR
 * 
 * class CombineWaves(object):             # <<<<<<<<<<<<<<
 *     """
 *     This class is used for combining multiple waveTools classes, thus allowing for the generation of complex wave conditions
 */
  __pyx_tuple__231 = PyTuple_Pack(1, __pyx_builtin_object); if (unlikely(!__pyx_tuple__231)) __PYX_ERR(0, 3286, __pyx_L1_error)
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  /* "WaveTools.py":3295
 *              List of wave classes
 *     """
 *     def __init__(self,waveList):             # <<<<<<<<<<<<<<
 *         try:
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 *         phase = old_div(np.pi,2.) - phase
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 *     fim_tmp = (0.5*(fi[1:]+fi[:-1])).tolist()
 *     return np.array([fim_tmp[0]-0.5*df]+fim_tmp+[fim_tmp[-1]+0.5*df])
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 *     """
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 *         ai[:,jj] *= (x[1:]-x[:-1])
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 * 
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 *     phase = x[0]*kDir[0]+x[1]*kDir[1]+x[2]*kDir[2] - omega*t  + phi
 *     return amplitude*cos(phase)
 * def Udrift(amp,gAbs,c,d):             # <<<<<<<<<<<<<<
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 *     return 0.5*gAbs*amp*amp/c/d
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 * 
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 *     """Calculates sigma function for JONSWAP spectrum
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 *     return tma * bj*(Hs**2)*(old_div(1.,((Tp**4) *(f**5))))*np.exp(-1.25*(old_div(1.,(Tp*f)**(4.))))*(gamma**r)
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 *     return (old_div(5.0,16.0))*Hs**2*(old_div(f0**4,f**5))*np.exp((old_div(-5.0,4.0))*(old_div(f0,f))**4)
 * 
 * def cos2s(theta,f,s=10):             # <<<<<<<<<<<<<<
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 *         fun[:,ii] = np.cos(old_div(theta,2))**(2*s)
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 * 
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 *     #lower harmonics
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 *     #set-up calculation
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 *     #overall free surface elevation
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    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif
 
/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}
 
/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif
 
/* PyCFunctionFastCall */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#endif
 
/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->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
 
/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}
 
/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif
 
/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (__Pyx_PyFastCFunction_Check(func)) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif
 
/* None */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}
 
/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}
 
/* py_abs */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
    if (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromLong(((PyLongObject*)n)->ob_digit[0]);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            __Pyx_SET_SIZE(copy, -Py_SIZE(copy));
        }
        return copy;
    }
#else
    return PyNumber_Negative(n);
#endif
}
#endif
 
/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}
 
/* PyObjectCallNoArg */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif
 
/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif
 
/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_AddCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double a = floatval;
    double b, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: b = 0.0; break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
    }
        
        PyFPE_START_PROTECT("add", return NULL)
        result = a + b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif
 
/* PyFloatBinop */
  #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
    }
        
        PyFPE_START_PROTECT("subtract", return NULL)
        result = a - b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif
 
/* SliceObject */
    static CYTHON_INLINE int __Pyx_PyObject_SetSlice(PyObject* obj, PyObject* value,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_ass_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_ass_slice(obj, cstart, cstop, value);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_ass_subscript))
#endif
    {
        int result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_ass_subscript(obj, py_slice, value);
#else
        result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object does not support slice %.10s",
        Py_TYPE(obj)->tp_name, value ? "assignment" : "deletion");
bad:
    return -1;
}
 
/* pyobject_as_double */
    static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    PyObject* float_value;
#if !CYTHON_USE_TYPE_SLOTS
    float_value = PyNumber_Float(obj);  if ((0)) goto bad;
#else
    PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
    if (likely(nb) && likely(nb->nb_float)) {
        float_value = nb->nb_float(obj);
        if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
            PyErr_Format(PyExc_TypeError,
                "__float__ returned non-float (type %.200s)",
                Py_TYPE(float_value)->tp_name);
            Py_DECREF(float_value);
            goto bad;
        }
    } else if (PyUnicode_CheckExact(obj) || PyBytes_CheckExact(obj)) {
#if PY_MAJOR_VERSION >= 3
        float_value = PyFloat_FromString(obj);
#else
        float_value = PyFloat_FromString(obj, 0);
#endif
    } else {
        PyObject* args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        PyTuple_SET_ITEM(args, 0, obj);
        float_value = PyObject_Call((PyObject*)&PyFloat_Type, args, 0);
        PyTuple_SET_ITEM(args, 0, 0);
        Py_DECREF(args);
    }
#endif
    if (likely(float_value)) {
        double value = PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
bad:
    return (double)-1;
}
 
/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif
 
/* GetTopmostException */
    #if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif
 
/* SaveResetException */
    #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif
 
/* GetException */
    #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}
 
/* ExtTypeTest */
    static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}
 
/* PyErrExceptionMatches */
    #if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif
 
/* PyErrFetchRestore */
    #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    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);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif
 
/* GetAttr */
    static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}
 
/* GetAttr3 */
    static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}
 
/* PyFloatBinop */
    #if !CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(operand) if (unlikely(zerodivision_check && ((operand) == 0))) {\
    PyErr_SetString(PyExc_ZeroDivisionError, "float division by zero");\
    return NULL;\
}
static PyObject* __Pyx_PyFloat_TrueDivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double a = floatval;
    double b, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(0) break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
            __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif
 
/* BytesEquals */
      static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS && (PY_VERSION_HEX < 0x030B0000)
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}
 
/* UnicodeEquals */
      static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}
 
/* PyFloatBinop */
      #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_EqObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a;
    (void)inplace;
    (void)zerodivision_check;
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            return (
                PyFloat_Type.tp_richcompare(op2, op1, Py_EQ));
        }
    } else {
        return (
            PyObject_RichCompare(op1, op2, Py_EQ));
    }
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
}
#endif
 
/* PyIntBinop */
        #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif
 
/* Import */
        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_MAJOR_VERSION < 3
    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 ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}
 
/* ImportFrom */
        static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}
 
/* DictGetItem */
        #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif
 
/* RaiseTooManyValuesToUnpack */
        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);
}
 
/* RaiseNeedMoreValuesToUnpack */
        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");
}
 
/* IterFinish */
        static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_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
}
 
/* UnpackItemEndCheck */
        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;
}
 
/* SetItemInt */
        static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o)))
#else
    if (is_list || PySequence_Check(o))
#endif
    {
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}
 
/* RaiseException */
        #if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    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_PyThreadState_assign
    __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) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        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 (cause) {
        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 = __Pyx_PyThreadState_Current;
        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
 
/* None */
        static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}
 
/* PyFloatBinop */
        #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif
 
/* PyIntCompare */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}
 
/* PyObjectGetMethod */
          static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}
 
/* PyObjectCallMethod1 */
          static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
}
 
/* append */
          static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}
 
/* PyObjectSetAttrStr */
          #if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif
 
/* HasAttr */
          static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}
 
/* PyObject_GenericGetAttrNoDict */
          #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif
 
/* PyObject_GenericGetAttr */
          #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif
 
/* PyObjectGetAttrStrNoError */
          static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
}
 
/* SetupReduce */
          static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    getstate = _PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_n_s_getstate);
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
#endif
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
 
/* SetVTable */
          static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}
 
/* TypeImport */
          #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    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 ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif
 
/* FetchCommonType */
          static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
 
/* CythonFunctionShared */
          #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}
 
/* CythonFunction */
          static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}
 
/* CalculateMetaclass */
          static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}
 
/* Py3ClassCreate */
          static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}
 
/* CLineInTraceback */
          #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif
 
/* CodeObjectCache */
          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 - start) / 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);
}
 
/* AddTraceback */
          #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    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);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    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;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject *ptype, *pvalue, *ptraceback;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
 
/* CIntFromPyVerify */
          #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        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 (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }
 
/* Declarations */
          #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
 
/* Arithmetic */
          #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__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_sum_float(__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_diff_float(__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_prod_float(__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;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__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_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__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_abs_float(__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_pow_float(__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:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(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
 
/* Declarations */
          #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
 
/* Arithmetic */
          #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__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_double(__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_double(__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_double(__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;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__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_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__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_double(__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_double(__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:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(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
 
/* CIntFromPy */
          static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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_IntOrLong(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_IntOrLong(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;
}
 
/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}
 
/* CIntFromPy */
          static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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_IntOrLong(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_IntOrLong(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;
}
 
/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}
 
/* CIntToPy */
          static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}
 
/* CIntFromPy */
          static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) ((((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            size_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(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 (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}
 
/* FastTypeChecks */
          #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif
 
/* SwapException */
          #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif
 
/* CoroutineBase */
          #include <structmember.h>
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED int closing) {
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_type) {
        #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
        #else
        if (exc_state->exc_traceback) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body((PyObject *) self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *exc_tb = exc_state->exc_traceback;
    if (likely(exc_tb)) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
#else
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
#endif
    }
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
            _PyGen_SetStopIterationValue(result);
        }
        Py_CLEAR(result);
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = Py_TYPE(yf)->tp_iternext(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                PyErr_WriteUnraisable(yf);
            }
            PyErr_Clear();
        } else {
            retval = PyObject_CallFunction(meth, NULL);
            Py_DECREF(meth);
            if (!retval)
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = Py_TYPE(yf)->tp_iternext(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, CYTHON_UNUSED PyObject *arg) {
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                    gen->is_running = 0;
                    return NULL;
                }
                PyErr_Clear();
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = PyObject_CallObject(meth, args);
            } else {
                ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (PyObject_CallFinalizerFromDealloc(self))
#else
        Py_TYPE(gen)->tp_del(self);
        if (Py_REFCNT(self) > 0)
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    PyObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (--self->ob_refcnt == 0) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_name;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = self->gi_name;
    Py_INCREF(value);
    self->gi_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_qualname;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = self->gi_qualname;
    Py_INCREF(value);
    self->gi_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *frame = self->gi_frame;
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}
 
/* PatchModuleWithCoroutine */
          static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}
 
/* PatchGeneratorABC */
          #ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (!module) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}
 
/* Generator */
          static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
    0,
#endif
};
static int __pyx_Generator_init(void) {
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}
 
/* CheckBinaryVersion */
          static int __Pyx_check_binary_version(void) {
    char ctversion[5];
    int same=1, i, found_dot;
    const char* rt_from_call = Py_GetVersion();
    PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    found_dot = 0;
    for (i = 0; i < 4; i++) {
        if (!ctversion[i]) {
            same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
            break;
        }
        if (rt_from_call[i] != ctversion[i]) {
            same = 0;
            break;
        }
    }
    if (!same) {
        char rtversion[5] = {'\0'};
        char message[200];
        for (i=0; i<4; ++i) {
            if (rt_from_call[i] == '.') {
                if (found_dot) break;
                found_dot = 1;
            } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
                break;
            }
            rtversion[i] = rt_from_call[i];
        }
        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;
}
 
/* InitStrings */
          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;
        if (PyObject_Hash(*t->p) == -1)
            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 const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    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
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(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
#endif
static CYTHON_INLINE const 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)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    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 int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  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))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #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 Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}
 
 
#endif /* Py_PYTHON_H */