Add files using upload-large-folder tool

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/__ufunc_api.c

@@ -0,0 +1,50 @@
+
+/* These pointers will be stored in the C-object for use in other
+    extension modules
+*/
+
+void *PyUFunc_API[] = {
+        (void *) &PyUFunc_Type,
+        (void *) PyUFunc_FromFuncAndData,
+        (void *) PyUFunc_RegisterLoopForType,
+        (void *) PyUFunc_GenericFunction,
+        (void *) PyUFunc_f_f_As_d_d,
+        (void *) PyUFunc_d_d,
+        (void *) PyUFunc_f_f,
+        (void *) PyUFunc_g_g,
+        (void *) PyUFunc_F_F_As_D_D,
+        (void *) PyUFunc_F_F,
+        (void *) PyUFunc_D_D,
+        (void *) PyUFunc_G_G,
+        (void *) PyUFunc_O_O,
+        (void *) PyUFunc_ff_f_As_dd_d,
+        (void *) PyUFunc_ff_f,
+        (void *) PyUFunc_dd_d,
+        (void *) PyUFunc_gg_g,
+        (void *) PyUFunc_FF_F_As_DD_D,
+        (void *) PyUFunc_DD_D,
+        (void *) PyUFunc_FF_F,
+        (void *) PyUFunc_GG_G,
+        (void *) PyUFunc_OO_O,
+        (void *) PyUFunc_O_O_method,
+        (void *) PyUFunc_OO_O_method,
+        (void *) PyUFunc_On_Om,
+        (void *) PyUFunc_GetPyValues,
+        (void *) PyUFunc_checkfperr,
+        (void *) PyUFunc_clearfperr,
+        (void *) PyUFunc_getfperr,
+        (void *) PyUFunc_handlefperr,
+        (void *) PyUFunc_ReplaceLoopBySignature,
+        (void *) PyUFunc_FromFuncAndDataAndSignature,
+        (void *) PyUFunc_SetUsesArraysAsData,
+        (void *) PyUFunc_e_e,
+        (void *) PyUFunc_e_e_As_f_f,
+        (void *) PyUFunc_e_e_As_d_d,
+        (void *) PyUFunc_ee_e,
+        (void *) PyUFunc_ee_e_As_ff_f,
+        (void *) PyUFunc_ee_e_As_dd_d,
+        (void *) PyUFunc_DefaultTypeResolver,
+        (void *) PyUFunc_ValidateCasting,
+        (void *) PyUFunc_RegisterLoopForDescr,
+        (void *) PyUFunc_FromFuncAndDataAndSignatureAndIdentity
+};

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/__ufunc_api.h

@@ -0,0 +1,314 @@
+
+#ifdef _UMATHMODULE
+
+extern NPY_NO_EXPORT PyTypeObject PyUFunc_Type;
+
+extern NPY_NO_EXPORT PyTypeObject PyUFunc_Type;
+
+NPY_NO_EXPORT  PyObject * PyUFunc_FromFuncAndData \
+       (PyUFuncGenericFunction *, void **, char *, int, int, int, int, const char *, const char *, int);
+NPY_NO_EXPORT  int PyUFunc_RegisterLoopForType \
+       (PyUFuncObject *, int, PyUFuncGenericFunction, const int *, void *);
+NPY_NO_EXPORT  int PyUFunc_GenericFunction \
+       (PyUFuncObject *NPY_UNUSED(ufunc), PyObject *NPY_UNUSED(args), PyObject *NPY_UNUSED(kwds), PyArrayObject **NPY_UNUSED(op));
+NPY_NO_EXPORT  void PyUFunc_f_f_As_d_d \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_d_d \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_f_f \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_g_g \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_F_F_As_D_D \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_F_F \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_D_D \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_G_G \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_O_O \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_ff_f_As_dd_d \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_ff_f \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_dd_d \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_gg_g \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_FF_F_As_DD_D \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_DD_D \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_FF_F \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_GG_G \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_OO_O \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_O_O_method \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_OO_O_method \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_On_Om \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  int PyUFunc_GetPyValues \
+       (char *, int *, int *, PyObject **);
+NPY_NO_EXPORT  int PyUFunc_checkfperr \
+       (int, PyObject *, int *);
+NPY_NO_EXPORT  void PyUFunc_clearfperr \
+       (void);
+NPY_NO_EXPORT  int PyUFunc_getfperr \
+       (void);
+NPY_NO_EXPORT  int PyUFunc_handlefperr \
+       (int, PyObject *, int, int *);
+NPY_NO_EXPORT  int PyUFunc_ReplaceLoopBySignature \
+       (PyUFuncObject *, PyUFuncGenericFunction, const int *, PyUFuncGenericFunction *);
+NPY_NO_EXPORT  PyObject * PyUFunc_FromFuncAndDataAndSignature \
+       (PyUFuncGenericFunction *, void **, char *, int, int, int, int, const char *, const char *, int, const char *);
+NPY_NO_EXPORT  int PyUFunc_SetUsesArraysAsData \
+       (void **NPY_UNUSED(data), size_t NPY_UNUSED(i));
+NPY_NO_EXPORT  void PyUFunc_e_e \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_e_e_As_f_f \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_e_e_As_d_d \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_ee_e \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_ee_e_As_ff_f \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  void PyUFunc_ee_e_As_dd_d \
+       (char **, npy_intp const *, npy_intp const *, void *);
+NPY_NO_EXPORT  int PyUFunc_DefaultTypeResolver \
+       (PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyObject *, PyArray_Descr **);
+NPY_NO_EXPORT  int PyUFunc_ValidateCasting \
+       (PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyArray_Descr **);
+NPY_NO_EXPORT  int PyUFunc_RegisterLoopForDescr \
+       (PyUFuncObject *, PyArray_Descr *, PyUFuncGenericFunction, PyArray_Descr **, void *);
+NPY_NO_EXPORT  PyObject * PyUFunc_FromFuncAndDataAndSignatureAndIdentity \
+       (PyUFuncGenericFunction *, void **, char *, int, int, int, int, const char *, const char *, const int, const char *, PyObject *);
+
+#else
+
+#if defined(PY_UFUNC_UNIQUE_SYMBOL)
+#define PyUFunc_API PY_UFUNC_UNIQUE_SYMBOL
+#endif
+
+#if defined(NO_IMPORT) || defined(NO_IMPORT_UFUNC)
+extern void **PyUFunc_API;
+#else
+#if defined(PY_UFUNC_UNIQUE_SYMBOL)
+void **PyUFunc_API;
+#else
+static void **PyUFunc_API=NULL;
+#endif
+#endif
+
+#define PyUFunc_Type (*(PyTypeObject *)PyUFunc_API[0])
+#define PyUFunc_FromFuncAndData \
+        (*(PyObject * (*)(PyUFuncGenericFunction *, void **, char *, int, int, int, int, const char *, const char *, int)) \
+    PyUFunc_API[1])
+#define PyUFunc_RegisterLoopForType \
+        (*(int (*)(PyUFuncObject *, int, PyUFuncGenericFunction, const int *, void *)) \
+    PyUFunc_API[2])
+#define PyUFunc_GenericFunction \
+        (*(int (*)(PyUFuncObject *NPY_UNUSED(ufunc), PyObject *NPY_UNUSED(args), PyObject *NPY_UNUSED(kwds), PyArrayObject **NPY_UNUSED(op))) \
+    PyUFunc_API[3])
+#define PyUFunc_f_f_As_d_d \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[4])
+#define PyUFunc_d_d \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[5])
+#define PyUFunc_f_f \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[6])
+#define PyUFunc_g_g \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[7])
+#define PyUFunc_F_F_As_D_D \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[8])
+#define PyUFunc_F_F \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[9])
+#define PyUFunc_D_D \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[10])
+#define PyUFunc_G_G \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[11])
+#define PyUFunc_O_O \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[12])
+#define PyUFunc_ff_f_As_dd_d \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[13])
+#define PyUFunc_ff_f \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[14])
+#define PyUFunc_dd_d \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[15])
+#define PyUFunc_gg_g \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[16])
+#define PyUFunc_FF_F_As_DD_D \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[17])
+#define PyUFunc_DD_D \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[18])
+#define PyUFunc_FF_F \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[19])
+#define PyUFunc_GG_G \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[20])
+#define PyUFunc_OO_O \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[21])
+#define PyUFunc_O_O_method \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[22])
+#define PyUFunc_OO_O_method \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[23])
+#define PyUFunc_On_Om \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[24])
+#define PyUFunc_GetPyValues \
+        (*(int (*)(char *, int *, int *, PyObject **)) \
+    PyUFunc_API[25])
+#define PyUFunc_checkfperr \
+        (*(int (*)(int, PyObject *, int *)) \
+    PyUFunc_API[26])
+#define PyUFunc_clearfperr \
+        (*(void (*)(void)) \
+    PyUFunc_API[27])
+#define PyUFunc_getfperr \
+        (*(int (*)(void)) \
+    PyUFunc_API[28])
+#define PyUFunc_handlefperr \
+        (*(int (*)(int, PyObject *, int, int *)) \
+    PyUFunc_API[29])
+#define PyUFunc_ReplaceLoopBySignature \
+        (*(int (*)(PyUFuncObject *, PyUFuncGenericFunction, const int *, PyUFuncGenericFunction *)) \
+    PyUFunc_API[30])
+#define PyUFunc_FromFuncAndDataAndSignature \
+        (*(PyObject * (*)(PyUFuncGenericFunction *, void **, char *, int, int, int, int, const char *, const char *, int, const char *)) \
+    PyUFunc_API[31])
+#define PyUFunc_SetUsesArraysAsData \
+        (*(int (*)(void **NPY_UNUSED(data), size_t NPY_UNUSED(i))) \
+    PyUFunc_API[32])
+#define PyUFunc_e_e \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[33])
+#define PyUFunc_e_e_As_f_f \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[34])
+#define PyUFunc_e_e_As_d_d \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[35])
+#define PyUFunc_ee_e \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[36])
+#define PyUFunc_ee_e_As_ff_f \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[37])
+#define PyUFunc_ee_e_As_dd_d \
+        (*(void (*)(char **, npy_intp const *, npy_intp const *, void *)) \
+    PyUFunc_API[38])
+#define PyUFunc_DefaultTypeResolver \
+        (*(int (*)(PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyObject *, PyArray_Descr **)) \
+    PyUFunc_API[39])
+#define PyUFunc_ValidateCasting \
+        (*(int (*)(PyUFuncObject *, NPY_CASTING, PyArrayObject **, PyArray_Descr **)) \
+    PyUFunc_API[40])
+#define PyUFunc_RegisterLoopForDescr \
+        (*(int (*)(PyUFuncObject *, PyArray_Descr *, PyUFuncGenericFunction, PyArray_Descr **, void *)) \
+    PyUFunc_API[41])
+
+#if NPY_FEATURE_VERSION >= NPY_1_16_API_VERSION
+#define PyUFunc_FromFuncAndDataAndSignatureAndIdentity \
+        (*(PyObject * (*)(PyUFuncGenericFunction *, void **, char *, int, int, int, int, const char *, const char *, const int, const char *, PyObject *)) \
+    PyUFunc_API[42])
+#endif
+
+static inline int
+_import_umath(void)
+{
+  PyObject *numpy = PyImport_ImportModule("numpy.core._multiarray_umath");
+  PyObject *c_api = NULL;
+
+  if (numpy == NULL) {
+      PyErr_SetString(PyExc_ImportError,
+                      "numpy.core._multiarray_umath failed to import");
+      return -1;
+  }
+  c_api = PyObject_GetAttrString(numpy, "_UFUNC_API");
+  Py_DECREF(numpy);
+  if (c_api == NULL) {
+      PyErr_SetString(PyExc_AttributeError, "_UFUNC_API not found");
+      return -1;
+  }
+
+  if (!PyCapsule_CheckExact(c_api)) {
+      PyErr_SetString(PyExc_RuntimeError, "_UFUNC_API is not PyCapsule object");
+      Py_DECREF(c_api);
+      return -1;
+  }
+  PyUFunc_API = (void **)PyCapsule_GetPointer(c_api, NULL);
+  Py_DECREF(c_api);
+  if (PyUFunc_API == NULL) {
+      PyErr_SetString(PyExc_RuntimeError, "_UFUNC_API is NULL pointer");
+      return -1;
+  }
+  return 0;
+}
+
+#define import_umath() \
+    do {\
+        UFUNC_NOFPE\
+        if (_import_umath() < 0) {\
+            PyErr_Print();\
+            PyErr_SetString(PyExc_ImportError,\
+                    "numpy.core.umath failed to import");\
+            return NULL;\
+        }\
+    } while(0)
+
+#define import_umath1(ret) \
+    do {\
+        UFUNC_NOFPE\
+        if (_import_umath() < 0) {\
+            PyErr_Print();\
+            PyErr_SetString(PyExc_ImportError,\
+                    "numpy.core.umath failed to import");\
+            return ret;\
+        }\
+    } while(0)
+
+#define import_umath2(ret, msg) \
+    do {\
+        UFUNC_NOFPE\
+        if (_import_umath() < 0) {\
+            PyErr_Print();\
+            PyErr_SetString(PyExc_ImportError, msg);\
+            return ret;\
+        }\
+    } while(0)
+
+#define import_ufunc() \
+    do {\
+        UFUNC_NOFPE\
+        if (_import_umath() < 0) {\
+            PyErr_Print();\
+            PyErr_SetString(PyExc_ImportError,\
+                    "numpy.core.umath failed to import");\
+        }\
+    } while(0)
+
+#endif

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/_neighborhood_iterator_imp.h

@@ -0,0 +1,90 @@
+#ifndef NUMPY_CORE_INCLUDE_NUMPY__NEIGHBORHOOD_IMP_H_
+#error You should not include this header directly
+#endif
+/*
+ * Private API (here for inline)
+ */
+static inline int
+_PyArrayNeighborhoodIter_IncrCoord(PyArrayNeighborhoodIterObject* iter);
+
+/*
+ * Update to next item of the iterator
+ *
+ * Note: this simply increment the coordinates vector, last dimension
+ * incremented first , i.e, for dimension 3
+ * ...
+ * -1, -1, -1
+ * -1, -1,  0
+ * -1, -1,  1
+ *  ....
+ * -1,  0, -1
+ * -1,  0,  0
+ *  ....
+ * 0,  -1, -1
+ * 0,  -1,  0
+ *  ....
+ */
+#define _UPDATE_COORD_ITER(c) \
+    wb = iter->coordinates[c] < iter->bounds[c][1]; \
+    if (wb) { \
+        iter->coordinates[c] += 1; \
+        return 0; \
+    } \
+    else { \
+        iter->coordinates[c] = iter->bounds[c][0]; \
+    }
+
+static inline int
+_PyArrayNeighborhoodIter_IncrCoord(PyArrayNeighborhoodIterObject* iter)
+{
+    npy_intp i, wb;
+
+    for (i = iter->nd - 1; i >= 0; --i) {
+        _UPDATE_COORD_ITER(i)
+    }
+
+    return 0;
+}
+
+/*
+ * Version optimized for 2d arrays, manual loop unrolling
+ */
+static inline int
+_PyArrayNeighborhoodIter_IncrCoord2D(PyArrayNeighborhoodIterObject* iter)
+{
+    npy_intp wb;
+
+    _UPDATE_COORD_ITER(1)
+    _UPDATE_COORD_ITER(0)
+
+    return 0;
+}
+#undef _UPDATE_COORD_ITER
+
+/*
+ * Advance to the next neighbour
+ */
+static inline int
+PyArrayNeighborhoodIter_Next(PyArrayNeighborhoodIterObject* iter)
+{
+    _PyArrayNeighborhoodIter_IncrCoord (iter);
+    iter->dataptr = iter->translate((PyArrayIterObject*)iter, iter->coordinates);
+
+    return 0;
+}
+
+/*
+ * Reset functions
+ */
+static inline int
+PyArrayNeighborhoodIter_Reset(PyArrayNeighborhoodIterObject* iter)
+{
+    npy_intp i;
+
+    for (i = 0; i < iter->nd; ++i) {
+        iter->coordinates[i] = iter->bounds[i][0];
+    }
+    iter->dataptr = iter->translate((PyArrayIterObject*)iter, iter->coordinates);
+
+    return 0;
+}

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/arrayobject.h

@@ -0,0 +1,12 @@
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_ARRAYOBJECT_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_ARRAYOBJECT_H_
+#define Py_ARRAYOBJECT_H
+
+#include "ndarrayobject.h"
+#include "npy_interrupt.h"
+
+#ifdef NPY_NO_PREFIX
+#include "noprefix.h"
+#endif
+
+#endif  /* NUMPY_CORE_INCLUDE_NUMPY_ARRAYOBJECT_H_ */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/experimental_dtype_api.h

@@ -0,0 +1,365 @@
+/*
+ * This header exports the new experimental DType API as proposed in
+ * NEPs 41 to 43.  For background, please check these NEPs.  Otherwise,
+ * this header also serves as documentation for the time being.
+ *
+ * The header includes `_dtype_api.h` which holds most definition while this
+ * header mainly wraps functions for public consumption.
+ *
+ * Please do not hesitate to contact @seberg with questions.  This is
+ * developed together with https://github.com/seberg/experimental_user_dtypes
+ * and those interested in experimenting are encouraged to contribute there.
+ *
+ * To use the functions defined in the header, call::
+ *
+ *     if (import_experimental_dtype_api(version) < 0) {
+ *         return NULL;
+ *     }
+ *
+ * in your module init.  (A version mismatch will be reported, just update
+ * to the correct one, this will alert you of possible changes.)
+ *
+ * The following lists the main symbols currently exported.  Please do not
+ * hesitate to ask for help or clarification:
+ *
+ * - PyUFunc_AddLoopFromSpec:
+ *
+ *     Register a new loop for a ufunc.  This uses the `PyArrayMethod_Spec`
+ *     which must be filled in (see in-line comments).
+ *
+ * - PyUFunc_AddWrappingLoop:
+ *
+ *     Register a new loop which reuses an existing one, but modifies the
+ *     result dtypes.  Please search the internal NumPy docs for more info
+ *     at this point.  (Used for physical units dtype.)
+ *
+ * - PyUFunc_AddPromoter:
+ *
+ *     Register a new promoter for a ufunc.  A promoter is a function stored
+ *     in a PyCapsule (see in-line comments).  It is passed the operation and
+ *     requested DType signatures and can mutate it to attempt a new search
+ *     for a matching loop/promoter.
+ *     I.e. for Numba a promoter could even add the desired loop.
+ *
+ * - PyArrayInitDTypeMeta_FromSpec:
+ *
+ *     Initialize a new DType.  It must currently be a static Python C type
+ *     that is declared as `PyArray_DTypeMeta` and not `PyTypeObject`.
+ *     Further, it must subclass `np.dtype` and set its type to
+ *     `PyArrayDTypeMeta_Type` (before calling `PyType_Read()`).
+ *
+ * - PyArray_CommonDType:
+ *
+ *     Find the common-dtype ("promotion") for two DType classes.  Similar
+ *     to `np.result_type`, but works on the classes and not instances.
+ *
+ * - PyArray_PromoteDTypeSequence:
+ *
+ *     Same as CommonDType, but works with an arbitrary number of DTypes.
+ *     This function is smarter and can often return successful and unambiguous
+ *     results when `common_dtype(common_dtype(dt1, dt2), dt3)` would
+ *     depend on the operation order or fail.  Nevertheless, DTypes should
+ *     aim to ensure that their common-dtype implementation is associative
+ *     and commutative!  (Mainly, unsigned and signed integers are not.)
+ *
+ *     For guaranteed consistent results DTypes must implement common-Dtype
+ *     "transitively".  If A promotes B and B promotes C, than A must generally
+ *     also promote C; where "promotes" means implements the promotion.
+ *     (There are some exceptions for abstract DTypes)
+ *
+ * - PyArray_GetDefaultDescr:
+ *
+ *     Given a DType class, returns the default instance (descriptor).
+ *     This is an inline function checking for `singleton` first and only
+ *     calls the `default_descr` function if necessary.
+ *
+ * - PyArray_DoubleDType, etc.:
+ *
+ *     Aliases to the DType classes for the builtin NumPy DTypes.
+ *
+ * WARNING
+ * =======
+ *
+ * By using this header, you understand that this is a fully experimental
+ * exposure.  Details are expected to change, and some options may have no
+ * effect.  (Please contact @seberg if you have questions!)
+ * If the exposure stops working, please file a bug report with NumPy.
+ * Further, a DType created using this API/header should still be expected
+ * to be incompatible with some functionality inside and outside of NumPy.
+ * In this case crashes must be expected.  Please report any such problems
+ * so that they can be fixed before final exposure.
+ * Furthermore, expect missing checks for programming errors which the final
+ * API is expected to have.
+ *
+ * Symbols with a leading underscore are likely to not be included in the
+ * first public version, if these are central to your use-case, please let
+ * us know, so that we can reconsider.
+ *
+ * "Array-like" consumer API not yet under considerations
+ * ======================================================
+ *
+ * The new DType API is designed in a way to make it potentially useful for
+ * alternative "array-like" implementations.  This will require careful
+ * exposure of details and functions and is not part of this experimental API.
+ *
+ * Brief (incompatibility) changelog
+ * =================================
+ *
+ * 2. None (only additions).
+ * 3. New `npy_intp *view_offset` argument for `resolve_descriptors`.
+ *    This replaces the `NPY_CAST_IS_VIEW` flag.  It can be set to 0 if the
+ *    operation is a view, and is pre-initialized to `NPY_MIN_INTP` indicating
+ *    that the operation is not a view.
+ */
+
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_EXPERIMENTAL_DTYPE_API_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_EXPERIMENTAL_DTYPE_API_H_
+
+#include <Python.h>
+#include "ndarraytypes.h"
+#include "_dtype_api.h"
+
+/*
+ * The contents of PyArrayMethodObject are currently opaque (is there a way
+ * good way to make them be `PyObject *`?)
+ */
+typedef struct PyArrayMethodObject_tag PyArrayMethodObject;
+
+/*
+ * There must be a better way?! -- Oh well, this is experimental
+ * (my issue with it, is that I cannot undef those helpers).
+ */
+#if defined(PY_ARRAY_UNIQUE_SYMBOL)
+    #define NPY_EXP_DTYPE_API_CONCAT_HELPER2(x, y) x ## y
+    #define NPY_EXP_DTYPE_API_CONCAT_HELPER(arg) NPY_EXP_DTYPE_API_CONCAT_HELPER2(arg, __experimental_dtype_api_table)
+    #define __experimental_dtype_api_table NPY_EXP_DTYPE_API_CONCAT_HELPER(PY_ARRAY_UNIQUE_SYMBOL)
+#else
+    #define __experimental_dtype_api_table __experimental_dtype_api_table
+#endif
+
+/* Support for correct multi-file projects: */
+#if defined(NO_IMPORT) || defined(NO_IMPORT_ARRAY)
+    extern void **__experimental_dtype_api_table;
+#else
+    /*
+     * Just a hack so I don't forget importing as much myself, I spend way too
+     * much time noticing it the first time around :).
+     */
+    static void
+    __not_imported(void)
+    {
+        printf("*****\nCritical error, dtype API not imported\n*****\n");
+    }
+
+    static void *__uninitialized_table[] = {
+            &__not_imported, &__not_imported, &__not_imported, &__not_imported,
+            &__not_imported, &__not_imported, &__not_imported, &__not_imported};
+
+    #if defined(PY_ARRAY_UNIQUE_SYMBOL)
+        void **__experimental_dtype_api_table = __uninitialized_table;
+    #else
+        static void **__experimental_dtype_api_table = __uninitialized_table;
+    #endif
+#endif
+
+
+typedef int _ufunc_addloop_fromspec_func(
+        PyObject *ufunc, PyArrayMethod_Spec *spec);
+/*
+ * The main ufunc registration function.  This adds a new implementation/loop
+ * to a ufunc.  It replaces `PyUFunc_RegisterLoopForType`.
+ */
+#define PyUFunc_AddLoopFromSpec \
+    (*(_ufunc_addloop_fromspec_func *)(__experimental_dtype_api_table[0]))
+
+
+/* Please see the NumPy definitions in `array_method.h` for details on these */
+typedef int translate_given_descrs_func(int nin, int nout,
+        PyArray_DTypeMeta *wrapped_dtypes[],
+        PyArray_Descr *given_descrs[], PyArray_Descr *new_descrs[]);
+typedef int translate_loop_descrs_func(int nin, int nout,
+        PyArray_DTypeMeta *new_dtypes[], PyArray_Descr *given_descrs[],
+        PyArray_Descr *original_descrs[], PyArray_Descr *loop_descrs[]);
+
+typedef int _ufunc_wrapping_loop_func(PyObject *ufunc_obj,
+        PyArray_DTypeMeta *new_dtypes[], PyArray_DTypeMeta *wrapped_dtypes[],
+        translate_given_descrs_func *translate_given_descrs,
+        translate_loop_descrs_func *translate_loop_descrs);
+#define PyUFunc_AddWrappingLoop \
+    (*(_ufunc_wrapping_loop_func *)(__experimental_dtype_api_table[7]))
+
+/*
+ * Type of the C promoter function, which must be wrapped into a
+ * PyCapsule with name "numpy._ufunc_promoter".
+ *
+ * Note that currently the output dtypes are always NULL unless they are
+ * also part of the signature.  This is an implementation detail and could
+ * change in the future.  However, in general promoters should not have a
+ * need for output dtypes.
+ * (There are potential use-cases, these are currently unsupported.)
+ */
+typedef int promoter_function(PyObject *ufunc,
+        PyArray_DTypeMeta *op_dtypes[], PyArray_DTypeMeta *signature[],
+        PyArray_DTypeMeta *new_op_dtypes[]);
+
+/*
+ * Function to register a promoter.
+ *
+ * @param ufunc The ufunc object to register the promoter with.
+ * @param DType_tuple A Python tuple containing DTypes or None matching the
+ *        number of inputs and outputs of the ufunc.
+ * @param promoter A PyCapsule with name "numpy._ufunc_promoter" containing
+ *        a pointer to a `promoter_function`.
+ */
+typedef int _ufunc_addpromoter_func(
+        PyObject *ufunc, PyObject *DType_tuple, PyObject *promoter);
+#define PyUFunc_AddPromoter \
+    (*(_ufunc_addpromoter_func *)(__experimental_dtype_api_table[1]))
+
+#define PyArrayDTypeMeta_Type \
+    (*(PyTypeObject *)__experimental_dtype_api_table[2])
+typedef int __dtypemeta_fromspec(
+        PyArray_DTypeMeta *DType, PyArrayDTypeMeta_Spec *dtype_spec);
+/*
+ * Finalize creation of a DTypeMeta.  You must ensure that the DTypeMeta is
+ * a proper subclass.  The DTypeMeta object has additional fields compared to
+ * a normal PyTypeObject!
+ * The only (easy) creation of a new DType is to create a static Type which
+ * inherits `PyArray_DescrType`, sets its type to `PyArrayDTypeMeta_Type` and
+ * uses `PyArray_DTypeMeta` defined above as the C-structure.
+ */
+#define PyArrayInitDTypeMeta_FromSpec \
+    ((__dtypemeta_fromspec *)(__experimental_dtype_api_table[3]))
+
+
+/*
+ * *************************************
+ *          WORKING WITH DTYPES
+ * *************************************
+ */
+
+typedef PyArray_DTypeMeta *__common_dtype(
+        PyArray_DTypeMeta *DType1, PyArray_DTypeMeta *DType2);
+#define PyArray_CommonDType \
+    ((__common_dtype *)(__experimental_dtype_api_table[4]))
+
+
+typedef PyArray_DTypeMeta *__promote_dtype_sequence(
+        npy_intp num, PyArray_DTypeMeta *DTypes[]);
+#define PyArray_PromoteDTypeSequence \
+    ((__promote_dtype_sequence *)(__experimental_dtype_api_table[5]))
+
+
+typedef PyArray_Descr *__get_default_descr(
+        PyArray_DTypeMeta *DType);
+#define _PyArray_GetDefaultDescr \
+    ((__get_default_descr *)(__experimental_dtype_api_table[6]))
+
+static inline PyArray_Descr *
+PyArray_GetDefaultDescr(PyArray_DTypeMeta *DType)
+{
+    if (DType->singleton != NULL) {
+        Py_INCREF(DType->singleton);
+        return DType->singleton;
+    }
+    return _PyArray_GetDefaultDescr(DType);
+}
+
+
+/*
+ * NumPy's builtin DTypes:
+ */
+#define PyArray_BoolDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[10])
+/* Integers */
+#define PyArray_ByteDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[11])
+#define PyArray_UByteDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[12])
+#define PyArray_ShortDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[13])
+#define PyArray_UShortDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[14])
+#define PyArray_IntDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[15])
+#define PyArray_UIntDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[16])
+#define PyArray_LongDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[17])
+#define PyArray_ULongDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[18])
+#define PyArray_LongLongDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[19])
+#define PyArray_ULongLongDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[20])
+/* Integer aliases */
+#define PyArray_Int8Type (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[21])
+#define PyArray_UInt8DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[22])
+#define PyArray_Int16DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[23])
+#define PyArray_UInt16DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[24])
+#define PyArray_Int32DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[25])
+#define PyArray_UInt32DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[26])
+#define PyArray_Int64DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[27])
+#define PyArray_UInt64DType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[28])
+#define PyArray_IntpDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[29])
+#define PyArray_UIntpDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[30])
+/* Floats */
+#define PyArray_HalfType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[31])
+#define PyArray_FloatDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[32])
+#define PyArray_DoubleDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[33])
+#define PyArray_LongDoubleDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[34])
+/* Complex */
+#define PyArray_CFloatDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[35])
+#define PyArray_CDoubleDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[36])
+#define PyArray_CLongDoubleDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[37])
+/* String/Bytes */
+#define PyArray_StringDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[38])
+#define PyArray_UnicodeDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[39])
+/* Datetime/Timedelta */
+#define PyArray_DatetimeDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[40])
+#define PyArray_TimedeltaDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[41])
+/* Object/Void */
+#define PyArray_ObjectDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[42])
+#define PyArray_VoidDType (*(PyArray_DTypeMeta *)__experimental_dtype_api_table[43])
+
+/*
+ * ********************************
+ *         Initialization
+ * ********************************
+ *
+ * Import the experimental API, the version must match the one defined in
+ * the header to ensure changes are taken into account. NumPy will further
+ * runtime-check this.
+ * You must call this function to use the symbols defined in this file.
+ */
+#if !defined(NO_IMPORT) && !defined(NO_IMPORT_ARRAY)
+
+static int
+import_experimental_dtype_api(int version)
+{
+    if (version != __EXPERIMENTAL_DTYPE_API_VERSION) {
+        PyErr_Format(PyExc_RuntimeError,
+                "DType API version %d did not match header version %d. Please "
+                "update the import statement and check for API changes.",
+                version, __EXPERIMENTAL_DTYPE_API_VERSION);
+        return -1;
+    }
+    if (__experimental_dtype_api_table != __uninitialized_table) {
+        /* already imported. */
+        return 0;
+    }
+
+    PyObject *multiarray = PyImport_ImportModule("numpy.core._multiarray_umath");
+    if (multiarray == NULL) {
+        return -1;
+    }
+
+    PyObject *api = PyObject_CallMethod(multiarray,
+        "_get_experimental_dtype_api", "i", version);
+    Py_DECREF(multiarray);
+    if (api == NULL) {
+        return -1;
+    }
+    __experimental_dtype_api_table = (void **)PyCapsule_GetPointer(api,
+            "experimental_dtype_api_table");
+    Py_DECREF(api);
+
+    if (__experimental_dtype_api_table == NULL) {
+        __experimental_dtype_api_table = __uninitialized_table;
+        return -1;
+    }
+    return 0;
+}
+
+#endif  /* !defined(NO_IMPORT) && !defined(NO_IMPORT_ARRAY) */
+
+#endif  /* NUMPY_CORE_INCLUDE_NUMPY_EXPERIMENTAL_DTYPE_API_H_ */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/npy_3kcompat.h

@@ -0,0 +1,595 @@
+/*
+ * This is a convenience header file providing compatibility utilities
+ * for supporting different minor versions of Python 3.
+ * It was originally used to support the transition from Python 2,
+ * hence the "3k" naming.
+ *
+ * If you want to use this for your own projects, it's recommended to make a
+ * copy of it. Although the stuff below is unlikely to change, we don't provide
+ * strong backwards compatibility guarantees at the moment.
+ */
+
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_3KCOMPAT_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_NPY_3KCOMPAT_H_
+
+#include <Python.h>
+#include <stdio.h>
+
+#ifndef NPY_PY3K
+#define NPY_PY3K 1
+#endif
+
+#include "numpy/npy_common.h"
+#include "numpy/ndarrayobject.h"
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/*
+ * PyInt -> PyLong
+ */
+
+
+/*
+ * This is a renamed copy of the Python non-limited API function _PyLong_AsInt. It is
+ * included here because it is missing from the PyPy API. It completes the PyLong_As*
+ * group of functions and can be useful in replacing PyInt_Check.
+ */
+static inline int
+Npy__PyLong_AsInt(PyObject *obj)
+{
+    int overflow;
+    long result = PyLong_AsLongAndOverflow(obj, &overflow);
+
+    /* INT_MAX and INT_MIN are defined in Python.h */
+    if (overflow || result > INT_MAX || result < INT_MIN) {
+        /* XXX: could be cute and give a different
+           message for overflow == -1 */
+        PyErr_SetString(PyExc_OverflowError,
+                        "Python int too large to convert to C int");
+        return -1;
+    }
+    return (int)result;
+}
+
+
+#if defined(NPY_PY3K)
+/* Return True only if the long fits in a C long */
+static inline int PyInt_Check(PyObject *op) {
+    int overflow = 0;
+    if (!PyLong_Check(op)) {
+        return 0;
+    }
+    PyLong_AsLongAndOverflow(op, &overflow);
+    return (overflow == 0);
+}
+
+
+#define PyInt_FromLong PyLong_FromLong
+#define PyInt_AsLong PyLong_AsLong
+#define PyInt_AS_LONG PyLong_AsLong
+#define PyInt_AsSsize_t PyLong_AsSsize_t
+#define PyNumber_Int PyNumber_Long
+
+/* NOTE:
+ *
+ * Since the PyLong type is very different from the fixed-range PyInt,
+ * we don't define PyInt_Type -> PyLong_Type.
+ */
+#endif /* NPY_PY3K */
+
+/* Py3 changes PySlice_GetIndicesEx' first argument's type to PyObject* */
+#ifdef NPY_PY3K
+#  define NpySlice_GetIndicesEx PySlice_GetIndicesEx
+#else
+#  define NpySlice_GetIndicesEx(op, nop, start, end, step, slicelength) \
+    PySlice_GetIndicesEx((PySliceObject *)op, nop, start, end, step, slicelength)
+#endif
+
+#if PY_VERSION_HEX < 0x030900a4
+    /* Introduced in https://github.com/python/cpython/commit/d2ec81a8c99796b51fb8c49b77a7fe369863226f */
+    #define Py_SET_TYPE(obj, type) ((Py_TYPE(obj) = (type)), (void)0)
+    /* Introduced in https://github.com/python/cpython/commit/b10dc3e7a11fcdb97e285882eba6da92594f90f9 */
+    #define Py_SET_SIZE(obj, size) ((Py_SIZE(obj) = (size)), (void)0)
+    /* Introduced in https://github.com/python/cpython/commit/c86a11221df7e37da389f9c6ce6e47ea22dc44ff */
+    #define Py_SET_REFCNT(obj, refcnt) ((Py_REFCNT(obj) = (refcnt)), (void)0)
+#endif
+
+
+#define Npy_EnterRecursiveCall(x) Py_EnterRecursiveCall(x)
+
+/*
+ * PyString -> PyBytes
+ */
+
+#if defined(NPY_PY3K)
+
+#define PyString_Type PyBytes_Type
+#define PyString_Check PyBytes_Check
+#define PyStringObject PyBytesObject
+#define PyString_FromString PyBytes_FromString
+#define PyString_FromStringAndSize PyBytes_FromStringAndSize
+#define PyString_AS_STRING PyBytes_AS_STRING
+#define PyString_AsStringAndSize PyBytes_AsStringAndSize
+#define PyString_FromFormat PyBytes_FromFormat
+#define PyString_Concat PyBytes_Concat
+#define PyString_ConcatAndDel PyBytes_ConcatAndDel
+#define PyString_AsString PyBytes_AsString
+#define PyString_GET_SIZE PyBytes_GET_SIZE
+#define PyString_Size PyBytes_Size
+
+#define PyUString_Type PyUnicode_Type
+#define PyUString_Check PyUnicode_Check
+#define PyUStringObject PyUnicodeObject
+#define PyUString_FromString PyUnicode_FromString
+#define PyUString_FromStringAndSize PyUnicode_FromStringAndSize
+#define PyUString_FromFormat PyUnicode_FromFormat
+#define PyUString_Concat PyUnicode_Concat2
+#define PyUString_ConcatAndDel PyUnicode_ConcatAndDel
+#define PyUString_GET_SIZE PyUnicode_GET_SIZE
+#define PyUString_Size PyUnicode_Size
+#define PyUString_InternFromString PyUnicode_InternFromString
+#define PyUString_Format PyUnicode_Format
+
+#define PyBaseString_Check(obj) (PyUnicode_Check(obj))
+
+#else
+
+#define PyBytes_Type PyString_Type
+#define PyBytes_Check PyString_Check
+#define PyBytesObject PyStringObject
+#define PyBytes_FromString PyString_FromString
+#define PyBytes_FromStringAndSize PyString_FromStringAndSize
+#define PyBytes_AS_STRING PyString_AS_STRING
+#define PyBytes_AsStringAndSize PyString_AsStringAndSize
+#define PyBytes_FromFormat PyString_FromFormat
+#define PyBytes_Concat PyString_Concat
+#define PyBytes_ConcatAndDel PyString_ConcatAndDel
+#define PyBytes_AsString PyString_AsString
+#define PyBytes_GET_SIZE PyString_GET_SIZE
+#define PyBytes_Size PyString_Size
+
+#define PyUString_Type PyString_Type
+#define PyUString_Check PyString_Check
+#define PyUStringObject PyStringObject
+#define PyUString_FromString PyString_FromString
+#define PyUString_FromStringAndSize PyString_FromStringAndSize
+#define PyUString_FromFormat PyString_FromFormat
+#define PyUString_Concat PyString_Concat
+#define PyUString_ConcatAndDel PyString_ConcatAndDel
+#define PyUString_GET_SIZE PyString_GET_SIZE
+#define PyUString_Size PyString_Size
+#define PyUString_InternFromString PyString_InternFromString
+#define PyUString_Format PyString_Format
+
+#define PyBaseString_Check(obj) (PyBytes_Check(obj) || PyUnicode_Check(obj))
+
+#endif /* NPY_PY3K */
+
+/*
+ * Macros to protect CRT calls against instant termination when passed an
+ * invalid parameter (https://bugs.python.org/issue23524).
+ */
+#if defined _MSC_VER && _MSC_VER >= 1900
+
+#include <stdlib.h>
+
+extern _invalid_parameter_handler _Py_silent_invalid_parameter_handler;
+#define NPY_BEGIN_SUPPRESS_IPH { _invalid_parameter_handler _Py_old_handler = \
+    _set_thread_local_invalid_parameter_handler(_Py_silent_invalid_parameter_handler);
+#define NPY_END_SUPPRESS_IPH _set_thread_local_invalid_parameter_handler(_Py_old_handler); }
+
+#else
+
+#define NPY_BEGIN_SUPPRESS_IPH
+#define NPY_END_SUPPRESS_IPH
+
+#endif /* _MSC_VER >= 1900 */
+
+
+static inline void
+PyUnicode_ConcatAndDel(PyObject **left, PyObject *right)
+{
+    Py_SETREF(*left, PyUnicode_Concat(*left, right));
+    Py_DECREF(right);
+}
+
+static inline void
+PyUnicode_Concat2(PyObject **left, PyObject *right)
+{
+    Py_SETREF(*left, PyUnicode_Concat(*left, right));
+}
+
+/*
+ * PyFile_* compatibility
+ */
+
+/*
+ * Get a FILE* handle to the file represented by the Python object
+ */
+static inline FILE*
+npy_PyFile_Dup2(PyObject *file, char *mode, npy_off_t *orig_pos)
+{
+    int fd, fd2, unbuf;
+    Py_ssize_t fd2_tmp;
+    PyObject *ret, *os, *io, *io_raw;
+    npy_off_t pos;
+    FILE *handle;
+
+    /* For Python 2 PyFileObject, use PyFile_AsFile */
+#if !defined(NPY_PY3K)
+    if (PyFile_Check(file)) {
+        return PyFile_AsFile(file);
+    }
+#endif
+
+    /* Flush first to ensure things end up in the file in the correct order */
+    ret = PyObject_CallMethod(file, "flush", "");
+    if (ret == NULL) {
+        return NULL;
+    }
+    Py_DECREF(ret);
+    fd = PyObject_AsFileDescriptor(file);
+    if (fd == -1) {
+        return NULL;
+    }
+
+    /*
+     * The handle needs to be dup'd because we have to call fclose
+     * at the end
+     */
+    os = PyImport_ImportModule("os");
+    if (os == NULL) {
+        return NULL;
+    }
+    ret = PyObject_CallMethod(os, "dup", "i", fd);
+    Py_DECREF(os);
+    if (ret == NULL) {
+        return NULL;
+    }
+    fd2_tmp = PyNumber_AsSsize_t(ret, PyExc_IOError);
+    Py_DECREF(ret);
+    if (fd2_tmp == -1 && PyErr_Occurred()) {
+        return NULL;
+    }
+    if (fd2_tmp < INT_MIN || fd2_tmp > INT_MAX) {
+        PyErr_SetString(PyExc_IOError,
+                        "Getting an 'int' from os.dup() failed");
+        return NULL;
+    }
+    fd2 = (int)fd2_tmp;
+
+    /* Convert to FILE* handle */
+#ifdef _WIN32
+    NPY_BEGIN_SUPPRESS_IPH
+    handle = _fdopen(fd2, mode);
+    NPY_END_SUPPRESS_IPH
+#else
+    handle = fdopen(fd2, mode);
+#endif
+    if (handle == NULL) {
+        PyErr_SetString(PyExc_IOError,
+                        "Getting a FILE* from a Python file object via "
+                        "_fdopen failed. If you built NumPy, you probably "
+                        "linked with the wrong debug/release runtime");
+        return NULL;
+    }
+
+    /* Record the original raw file handle position */
+    *orig_pos = npy_ftell(handle);
+    if (*orig_pos == -1) {
+        /* The io module is needed to determine if buffering is used */
+        io = PyImport_ImportModule("io");
+        if (io == NULL) {
+            fclose(handle);
+            return NULL;
+        }
+        /* File object instances of RawIOBase are unbuffered */
+        io_raw = PyObject_GetAttrString(io, "RawIOBase");
+        Py_DECREF(io);
+        if (io_raw == NULL) {
+            fclose(handle);
+            return NULL;
+        }
+        unbuf = PyObject_IsInstance(file, io_raw);
+        Py_DECREF(io_raw);
+        if (unbuf == 1) {
+            /* Succeed if the IO is unbuffered */
+            return handle;
+        }
+        else {
+            PyErr_SetString(PyExc_IOError, "obtaining file position failed");
+            fclose(handle);
+            return NULL;
+        }
+    }
+
+    /* Seek raw handle to the Python-side position */
+    ret = PyObject_CallMethod(file, "tell", "");
+    if (ret == NULL) {
+        fclose(handle);
+        return NULL;
+    }
+    pos = PyLong_AsLongLong(ret);
+    Py_DECREF(ret);
+    if (PyErr_Occurred()) {
+        fclose(handle);
+        return NULL;
+    }
+    if (npy_fseek(handle, pos, SEEK_SET) == -1) {
+        PyErr_SetString(PyExc_IOError, "seeking file failed");
+        fclose(handle);
+        return NULL;
+    }
+    return handle;
+}
+
+/*
+ * Close the dup-ed file handle, and seek the Python one to the current position
+ */
+static inline int
+npy_PyFile_DupClose2(PyObject *file, FILE* handle, npy_off_t orig_pos)
+{
+    int fd, unbuf;
+    PyObject *ret, *io, *io_raw;
+    npy_off_t position;
+
+    /* For Python 2 PyFileObject, do nothing */
+#if !defined(NPY_PY3K)
+    if (PyFile_Check(file)) {
+        return 0;
+    }
+#endif
+
+    position = npy_ftell(handle);
+
+    /* Close the FILE* handle */
+    fclose(handle);
+
+    /*
+     * Restore original file handle position, in order to not confuse
+     * Python-side data structures
+     */
+    fd = PyObject_AsFileDescriptor(file);
+    if (fd == -1) {
+        return -1;
+    }
+
+    if (npy_lseek(fd, orig_pos, SEEK_SET) == -1) {
+
+        /* The io module is needed to determine if buffering is used */
+        io = PyImport_ImportModule("io");
+        if (io == NULL) {
+            return -1;
+        }
+        /* File object instances of RawIOBase are unbuffered */
+        io_raw = PyObject_GetAttrString(io, "RawIOBase");
+        Py_DECREF(io);
+        if (io_raw == NULL) {
+            return -1;
+        }
+        unbuf = PyObject_IsInstance(file, io_raw);
+        Py_DECREF(io_raw);
+        if (unbuf == 1) {
+            /* Succeed if the IO is unbuffered */
+            return 0;
+        }
+        else {
+            PyErr_SetString(PyExc_IOError, "seeking file failed");
+            return -1;
+        }
+    }
+
+    if (position == -1) {
+        PyErr_SetString(PyExc_IOError, "obtaining file position failed");
+        return -1;
+    }
+
+    /* Seek Python-side handle to the FILE* handle position */
+    ret = PyObject_CallMethod(file, "seek", NPY_OFF_T_PYFMT "i", position, 0);
+    if (ret == NULL) {
+        return -1;
+    }
+    Py_DECREF(ret);
+    return 0;
+}
+
+static inline int
+npy_PyFile_Check(PyObject *file)
+{
+    int fd;
+    /* For Python 2, check if it is a PyFileObject */
+#if !defined(NPY_PY3K)
+    if (PyFile_Check(file)) {
+        return 1;
+    }
+#endif
+    fd = PyObject_AsFileDescriptor(file);
+    if (fd == -1) {
+        PyErr_Clear();
+        return 0;
+    }
+    return 1;
+}
+
+static inline PyObject*
+npy_PyFile_OpenFile(PyObject *filename, const char *mode)
+{
+    PyObject *open;
+    open = PyDict_GetItemString(PyEval_GetBuiltins(), "open");
+    if (open == NULL) {
+        return NULL;
+    }
+    return PyObject_CallFunction(open, "Os", filename, mode);
+}
+
+static inline int
+npy_PyFile_CloseFile(PyObject *file)
+{
+    PyObject *ret;
+
+    ret = PyObject_CallMethod(file, "close", NULL);
+    if (ret == NULL) {
+        return -1;
+    }
+    Py_DECREF(ret);
+    return 0;
+}
+
+
+/* This is a copy of _PyErr_ChainExceptions
+ */
+static inline void
+npy_PyErr_ChainExceptions(PyObject *exc, PyObject *val, PyObject *tb)
+{
+    if (exc == NULL)
+        return;
+
+    if (PyErr_Occurred()) {
+        /* only py3 supports this anyway */
+        #ifdef NPY_PY3K
+            PyObject *exc2, *val2, *tb2;
+            PyErr_Fetch(&exc2, &val2, &tb2);
+            PyErr_NormalizeException(&exc, &val, &tb);
+            if (tb != NULL) {
+                PyException_SetTraceback(val, tb);
+                Py_DECREF(tb);
+            }
+            Py_DECREF(exc);
+            PyErr_NormalizeException(&exc2, &val2, &tb2);
+            PyException_SetContext(val2, val);
+            PyErr_Restore(exc2, val2, tb2);
+        #endif
+    }
+    else {
+        PyErr_Restore(exc, val, tb);
+    }
+}
+
+
+/* This is a copy of _PyErr_ChainExceptions, with:
+ *  - a minimal implementation for python 2
+ *  - __cause__ used instead of __context__
+ */
+static inline void
+npy_PyErr_ChainExceptionsCause(PyObject *exc, PyObject *val, PyObject *tb)
+{
+    if (exc == NULL)
+        return;
+
+    if (PyErr_Occurred()) {
+        /* only py3 supports this anyway */
+        #ifdef NPY_PY3K
+            PyObject *exc2, *val2, *tb2;
+            PyErr_Fetch(&exc2, &val2, &tb2);
+            PyErr_NormalizeException(&exc, &val, &tb);
+            if (tb != NULL) {
+                PyException_SetTraceback(val, tb);
+                Py_DECREF(tb);
+            }
+            Py_DECREF(exc);
+            PyErr_NormalizeException(&exc2, &val2, &tb2);
+            PyException_SetCause(val2, val);
+            PyErr_Restore(exc2, val2, tb2);
+        #endif
+    }
+    else {
+        PyErr_Restore(exc, val, tb);
+    }
+}
+
+/*
+ * PyObject_Cmp
+ */
+#if defined(NPY_PY3K)
+static inline int
+PyObject_Cmp(PyObject *i1, PyObject *i2, int *cmp)
+{
+    int v;
+    v = PyObject_RichCompareBool(i1, i2, Py_LT);
+    if (v == 1) {
+        *cmp = -1;
+        return 1;
+    }
+    else if (v == -1) {
+        return -1;
+    }
+
+    v = PyObject_RichCompareBool(i1, i2, Py_GT);
+    if (v == 1) {
+        *cmp = 1;
+        return 1;
+    }
+    else if (v == -1) {
+        return -1;
+    }
+
+    v = PyObject_RichCompareBool(i1, i2, Py_EQ);
+    if (v == 1) {
+        *cmp = 0;
+        return 1;
+    }
+    else {
+        *cmp = 0;
+        return -1;
+    }
+}
+#endif
+
+/*
+ * PyCObject functions adapted to PyCapsules.
+ *
+ * The main job here is to get rid of the improved error handling
+ * of PyCapsules. It's a shame...
+ */
+static inline PyObject *
+NpyCapsule_FromVoidPtr(void *ptr, void (*dtor)(PyObject *))
+{
+    PyObject *ret = PyCapsule_New(ptr, NULL, dtor);
+    if (ret == NULL) {
+        PyErr_Clear();
+    }
+    return ret;
+}
+
+static inline PyObject *
+NpyCapsule_FromVoidPtrAndDesc(void *ptr, void* context, void (*dtor)(PyObject *))
+{
+    PyObject *ret = NpyCapsule_FromVoidPtr(ptr, dtor);
+    if (ret != NULL && PyCapsule_SetContext(ret, context) != 0) {
+        PyErr_Clear();
+        Py_DECREF(ret);
+        ret = NULL;
+    }
+    return ret;
+}
+
+static inline void *
+NpyCapsule_AsVoidPtr(PyObject *obj)
+{
+    void *ret = PyCapsule_GetPointer(obj, NULL);
+    if (ret == NULL) {
+        PyErr_Clear();
+    }
+    return ret;
+}
+
+static inline void *
+NpyCapsule_GetDesc(PyObject *obj)
+{
+    return PyCapsule_GetContext(obj);
+}
+
+static inline int
+NpyCapsule_Check(PyObject *ptr)
+{
+    return PyCapsule_CheckExact(ptr);
+}
+
+#ifdef __cplusplus
+}
+#endif
+
+
+#endif  /* NUMPY_CORE_INCLUDE_NUMPY_NPY_3KCOMPAT_H_ */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/npy_cpu.h

@@ -0,0 +1,129 @@
+/*
+ * This set (target) cpu specific macros:
+ *      - Possible values:
+ *              NPY_CPU_X86
+ *              NPY_CPU_AMD64
+ *              NPY_CPU_PPC
+ *              NPY_CPU_PPC64
+ *              NPY_CPU_PPC64LE
+ *              NPY_CPU_SPARC
+ *              NPY_CPU_S390
+ *              NPY_CPU_IA64
+ *              NPY_CPU_HPPA
+ *              NPY_CPU_ALPHA
+ *              NPY_CPU_ARMEL
+ *              NPY_CPU_ARMEB
+ *              NPY_CPU_SH_LE
+ *              NPY_CPU_SH_BE
+ *              NPY_CPU_ARCEL
+ *              NPY_CPU_ARCEB
+ *              NPY_CPU_RISCV64
+ *              NPY_CPU_LOONGARCH
+ *              NPY_CPU_WASM
+ */
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_CPU_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_NPY_CPU_H_
+
+#include "numpyconfig.h"
+
+#if defined( __i386__ ) || defined(i386) || defined(_M_IX86)
+    /*
+     * __i386__ is defined by gcc and Intel compiler on Linux,
+     * _M_IX86 by VS compiler,
+     * i386 by Sun compilers on opensolaris at least
+     */
+    #define NPY_CPU_X86
+#elif defined(__x86_64__) || defined(__amd64__) || defined(__x86_64) || defined(_M_AMD64)
+    /*
+     * both __x86_64__ and __amd64__ are defined by gcc
+     * __x86_64 defined by sun compiler on opensolaris at least
+     * _M_AMD64 defined by MS compiler
+     */
+    #define NPY_CPU_AMD64
+#elif defined(__powerpc64__) && defined(__LITTLE_ENDIAN__)
+    #define NPY_CPU_PPC64LE
+#elif defined(__powerpc64__) && defined(__BIG_ENDIAN__)
+    #define NPY_CPU_PPC64
+#elif defined(__ppc__) || defined(__powerpc__) || defined(_ARCH_PPC)
+    /*
+     * __ppc__ is defined by gcc, I remember having seen __powerpc__ once,
+     * but can't find it ATM
+     * _ARCH_PPC is used by at least gcc on AIX
+     * As __powerpc__ and _ARCH_PPC are also defined by PPC64 check
+     * for those specifically first before defaulting to ppc
+     */
+    #define NPY_CPU_PPC
+#elif defined(__sparc__) || defined(__sparc)
+    /* __sparc__ is defined by gcc and Forte (e.g. Sun) compilers */
+    #define NPY_CPU_SPARC
+#elif defined(__s390__)
+    #define NPY_CPU_S390
+#elif defined(__ia64)
+    #define NPY_CPU_IA64
+#elif defined(__hppa)
+    #define NPY_CPU_HPPA
+#elif defined(__alpha__)
+    #define NPY_CPU_ALPHA
+#elif defined(__arm__) || defined(__aarch64__) || defined(_M_ARM64)
+    /* _M_ARM64 is defined in MSVC for ARM64 compilation on Windows */
+    #if defined(__ARMEB__) || defined(__AARCH64EB__)
+        #if defined(__ARM_32BIT_STATE)
+            #define NPY_CPU_ARMEB_AARCH32
+        #elif defined(__ARM_64BIT_STATE)
+            #define NPY_CPU_ARMEB_AARCH64
+        #else
+            #define NPY_CPU_ARMEB
+        #endif
+    #elif defined(__ARMEL__) || defined(__AARCH64EL__) || defined(_M_ARM64)
+        #if defined(__ARM_32BIT_STATE)
+            #define NPY_CPU_ARMEL_AARCH32
+        #elif defined(__ARM_64BIT_STATE) || defined(_M_ARM64) || defined(__AARCH64EL__)
+            #define NPY_CPU_ARMEL_AARCH64
+        #else
+            #define NPY_CPU_ARMEL
+        #endif
+    #else
+        # error Unknown ARM CPU, please report this to numpy maintainers with \
+	information about your platform (OS, CPU and compiler)
+    #endif
+#elif defined(__sh__) && defined(__LITTLE_ENDIAN__)
+    #define NPY_CPU_SH_LE
+#elif defined(__sh__) && defined(__BIG_ENDIAN__)
+    #define NPY_CPU_SH_BE
+#elif defined(__MIPSEL__)
+    #define NPY_CPU_MIPSEL
+#elif defined(__MIPSEB__)
+    #define NPY_CPU_MIPSEB
+#elif defined(__or1k__)
+    #define NPY_CPU_OR1K
+#elif defined(__mc68000__)
+    #define NPY_CPU_M68K
+#elif defined(__arc__) && defined(__LITTLE_ENDIAN__)
+    #define NPY_CPU_ARCEL
+#elif defined(__arc__) && defined(__BIG_ENDIAN__)
+    #define NPY_CPU_ARCEB
+#elif defined(__riscv) && defined(__riscv_xlen) && __riscv_xlen == 64
+    #define NPY_CPU_RISCV64
+#elif defined(__loongarch__)
+    #define NPY_CPU_LOONGARCH
+#elif defined(__EMSCRIPTEN__)
+    /* __EMSCRIPTEN__ is defined by emscripten: an LLVM-to-Web compiler */
+    #define NPY_CPU_WASM
+#else
+    #error Unknown CPU, please report this to numpy maintainers with \
+    information about your platform (OS, CPU and compiler)
+#endif
+
+/*
+ * Except for the following architectures, memory access is limited to the natural
+ * alignment of data types otherwise it may lead to bus error or performance regression.
+ * For more details about unaligned access, see https://www.kernel.org/doc/Documentation/unaligned-memory-access.txt.
+*/
+#if defined(NPY_CPU_X86) || defined(NPY_CPU_AMD64) || defined(__aarch64__) || defined(__powerpc64__)
+    #define NPY_ALIGNMENT_REQUIRED 0
+#endif
+#ifndef NPY_ALIGNMENT_REQUIRED
+    #define NPY_ALIGNMENT_REQUIRED 1
+#endif
+
+#endif  /* NUMPY_CORE_INCLUDE_NUMPY_NPY_CPU_H_ */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/npy_interrupt.h

@@ -0,0 +1,56 @@
+/*
+ * This API is only provided because it is part of publicly exported
+ * headers. Its use is considered DEPRECATED, and it will be removed
+ * eventually.
+ * (This includes the _PyArray_SigintHandler and _PyArray_GetSigintBuf
+ * functions which are however, public API, and not headers.)
+ *
+ * Instead of using these non-threadsafe macros consider periodically
+ * querying `PyErr_CheckSignals()` or `PyOS_InterruptOccurred()` will work.
+ * Both of these require holding the GIL, although cpython could add a
+ * version of `PyOS_InterruptOccurred()` which does not. Such a version
+ * actually exists as private API in Python 3.10, and backported to 3.9 and 3.8,
+ * see also https://bugs.python.org/issue41037 and
+ * https://github.com/python/cpython/pull/20599).
+ */
+
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_NPY_INTERRUPT_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_NPY_INTERRUPT_H_
+
+#ifndef NPY_NO_SIGNAL
+
+#include <setjmp.h>
+#include <signal.h>
+
+#ifndef sigsetjmp
+
+#define NPY_SIGSETJMP(arg1, arg2) setjmp(arg1)
+#define NPY_SIGLONGJMP(arg1, arg2) longjmp(arg1, arg2)
+#define NPY_SIGJMP_BUF jmp_buf
+
+#else
+
+#define NPY_SIGSETJMP(arg1, arg2) sigsetjmp(arg1, arg2)
+#define NPY_SIGLONGJMP(arg1, arg2) siglongjmp(arg1, arg2)
+#define NPY_SIGJMP_BUF sigjmp_buf
+
+#endif
+
+#    define NPY_SIGINT_ON {                                             \
+                   PyOS_sighandler_t _npy_sig_save;                     \
+                   _npy_sig_save = PyOS_setsig(SIGINT, _PyArray_SigintHandler); \
+                   if (NPY_SIGSETJMP(*((NPY_SIGJMP_BUF *)_PyArray_GetSigintBuf()), \
+                                 1) == 0) {                             \
+
+#    define NPY_SIGINT_OFF }                                      \
+        PyOS_setsig(SIGINT, _npy_sig_save);                       \
+        }
+
+#else  /* NPY_NO_SIGNAL  */
+
+#define NPY_SIGINT_ON
+#define NPY_SIGINT_OFF
+
+#endif  /* HAVE_SIGSETJMP */
+
+#endif  /* NUMPY_CORE_INCLUDE_NUMPY_NPY_INTERRUPT_H_ */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/npy_no_deprecated_api.h

@@ -0,0 +1,20 @@
+/*
+ * This include file is provided for inclusion in Cython *.pyd files where
+ * one would like to define the NPY_NO_DEPRECATED_API macro. It can be
+ * included by
+ *
+ * cdef extern from "npy_no_deprecated_api.h": pass
+ *
+ */
+#ifndef NPY_NO_DEPRECATED_API
+
+/* put this check here since there may be multiple includes in C extensions. */
+#if defined(NUMPY_CORE_INCLUDE_NUMPY_NDARRAYTYPES_H_) || \
+    defined(NUMPY_CORE_INCLUDE_NUMPY_NPY_DEPRECATED_API_H) || \
+    defined(NUMPY_CORE_INCLUDE_NUMPY_OLD_DEFINES_H_)
+#error "npy_no_deprecated_api.h" must be first among numpy includes.
+#else
+#define NPY_NO_DEPRECATED_API NPY_API_VERSION
+#endif
+
+#endif  /* NPY_NO_DEPRECATED_API */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/old_defines.h

@@ -0,0 +1,187 @@
+/* This header is deprecated as of NumPy 1.7 */
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_OLD_DEFINES_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_OLD_DEFINES_H_
+
+#if defined(NPY_NO_DEPRECATED_API) && NPY_NO_DEPRECATED_API >= NPY_1_7_API_VERSION
+#error The header "old_defines.h" is deprecated as of NumPy 1.7.
+#endif
+
+#define NDARRAY_VERSION NPY_VERSION
+
+#define PyArray_MIN_BUFSIZE NPY_MIN_BUFSIZE
+#define PyArray_MAX_BUFSIZE NPY_MAX_BUFSIZE
+#define PyArray_BUFSIZE NPY_BUFSIZE
+
+#define PyArray_PRIORITY NPY_PRIORITY
+#define PyArray_SUBTYPE_PRIORITY NPY_PRIORITY
+#define PyArray_NUM_FLOATTYPE NPY_NUM_FLOATTYPE
+
+#define NPY_MAX PyArray_MAX
+#define NPY_MIN PyArray_MIN
+
+#define PyArray_TYPES       NPY_TYPES
+#define PyArray_BOOL        NPY_BOOL
+#define PyArray_BYTE        NPY_BYTE
+#define PyArray_UBYTE       NPY_UBYTE
+#define PyArray_SHORT       NPY_SHORT
+#define PyArray_USHORT      NPY_USHORT
+#define PyArray_INT         NPY_INT
+#define PyArray_UINT        NPY_UINT
+#define PyArray_LONG        NPY_LONG
+#define PyArray_ULONG       NPY_ULONG
+#define PyArray_LONGLONG    NPY_LONGLONG
+#define PyArray_ULONGLONG   NPY_ULONGLONG
+#define PyArray_HALF        NPY_HALF
+#define PyArray_FLOAT       NPY_FLOAT
+#define PyArray_DOUBLE      NPY_DOUBLE
+#define PyArray_LONGDOUBLE  NPY_LONGDOUBLE
+#define PyArray_CFLOAT      NPY_CFLOAT
+#define PyArray_CDOUBLE     NPY_CDOUBLE
+#define PyArray_CLONGDOUBLE NPY_CLONGDOUBLE
+#define PyArray_OBJECT      NPY_OBJECT
+#define PyArray_STRING      NPY_STRING
+#define PyArray_UNICODE     NPY_UNICODE
+#define PyArray_VOID        NPY_VOID
+#define PyArray_DATETIME    NPY_DATETIME
+#define PyArray_TIMEDELTA   NPY_TIMEDELTA
+#define PyArray_NTYPES      NPY_NTYPES
+#define PyArray_NOTYPE      NPY_NOTYPE
+#define PyArray_CHAR        NPY_CHAR
+#define PyArray_USERDEF     NPY_USERDEF
+#define PyArray_NUMUSERTYPES NPY_NUMUSERTYPES
+
+#define PyArray_INTP        NPY_INTP
+#define PyArray_UINTP       NPY_UINTP
+
+#define PyArray_INT8    NPY_INT8
+#define PyArray_UINT8   NPY_UINT8
+#define PyArray_INT16   NPY_INT16
+#define PyArray_UINT16  NPY_UINT16
+#define PyArray_INT32   NPY_INT32
+#define PyArray_UINT32  NPY_UINT32
+
+#ifdef NPY_INT64
+#define PyArray_INT64   NPY_INT64
+#define PyArray_UINT64  NPY_UINT64
+#endif
+
+#ifdef NPY_INT128
+#define PyArray_INT128 NPY_INT128
+#define PyArray_UINT128 NPY_UINT128
+#endif
+
+#ifdef NPY_FLOAT16
+#define PyArray_FLOAT16  NPY_FLOAT16
+#define PyArray_COMPLEX32  NPY_COMPLEX32
+#endif
+
+#ifdef NPY_FLOAT80
+#define PyArray_FLOAT80  NPY_FLOAT80
+#define PyArray_COMPLEX160  NPY_COMPLEX160
+#endif
+
+#ifdef NPY_FLOAT96
+#define PyArray_FLOAT96  NPY_FLOAT96
+#define PyArray_COMPLEX192  NPY_COMPLEX192
+#endif
+
+#ifdef NPY_FLOAT128
+#define PyArray_FLOAT128  NPY_FLOAT128
+#define PyArray_COMPLEX256  NPY_COMPLEX256
+#endif
+
+#define PyArray_FLOAT32    NPY_FLOAT32
+#define PyArray_COMPLEX64  NPY_COMPLEX64
+#define PyArray_FLOAT64    NPY_FLOAT64
+#define PyArray_COMPLEX128 NPY_COMPLEX128
+
+
+#define PyArray_TYPECHAR        NPY_TYPECHAR
+#define PyArray_BOOLLTR         NPY_BOOLLTR
+#define PyArray_BYTELTR         NPY_BYTELTR
+#define PyArray_UBYTELTR        NPY_UBYTELTR
+#define PyArray_SHORTLTR        NPY_SHORTLTR
+#define PyArray_USHORTLTR       NPY_USHORTLTR
+#define PyArray_INTLTR          NPY_INTLTR
+#define PyArray_UINTLTR         NPY_UINTLTR
+#define PyArray_LONGLTR         NPY_LONGLTR
+#define PyArray_ULONGLTR        NPY_ULONGLTR
+#define PyArray_LONGLONGLTR     NPY_LONGLONGLTR
+#define PyArray_ULONGLONGLTR    NPY_ULONGLONGLTR
+#define PyArray_HALFLTR         NPY_HALFLTR
+#define PyArray_FLOATLTR        NPY_FLOATLTR
+#define PyArray_DOUBLELTR       NPY_DOUBLELTR
+#define PyArray_LONGDOUBLELTR   NPY_LONGDOUBLELTR
+#define PyArray_CFLOATLTR       NPY_CFLOATLTR
+#define PyArray_CDOUBLELTR      NPY_CDOUBLELTR
+#define PyArray_CLONGDOUBLELTR  NPY_CLONGDOUBLELTR
+#define PyArray_OBJECTLTR       NPY_OBJECTLTR
+#define PyArray_STRINGLTR       NPY_STRINGLTR
+#define PyArray_STRINGLTR2      NPY_STRINGLTR2
+#define PyArray_UNICODELTR      NPY_UNICODELTR
+#define PyArray_VOIDLTR         NPY_VOIDLTR
+#define PyArray_DATETIMELTR     NPY_DATETIMELTR
+#define PyArray_TIMEDELTALTR    NPY_TIMEDELTALTR
+#define PyArray_CHARLTR         NPY_CHARLTR
+#define PyArray_INTPLTR         NPY_INTPLTR
+#define PyArray_UINTPLTR        NPY_UINTPLTR
+#define PyArray_GENBOOLLTR      NPY_GENBOOLLTR
+#define PyArray_SIGNEDLTR       NPY_SIGNEDLTR
+#define PyArray_UNSIGNEDLTR     NPY_UNSIGNEDLTR
+#define PyArray_FLOATINGLTR     NPY_FLOATINGLTR
+#define PyArray_COMPLEXLTR      NPY_COMPLEXLTR
+
+#define PyArray_QUICKSORT   NPY_QUICKSORT
+#define PyArray_HEAPSORT    NPY_HEAPSORT
+#define PyArray_MERGESORT   NPY_MERGESORT
+#define PyArray_SORTKIND    NPY_SORTKIND
+#define PyArray_NSORTS      NPY_NSORTS
+
+#define PyArray_NOSCALAR       NPY_NOSCALAR
+#define PyArray_BOOL_SCALAR    NPY_BOOL_SCALAR
+#define PyArray_INTPOS_SCALAR  NPY_INTPOS_SCALAR
+#define PyArray_INTNEG_SCALAR  NPY_INTNEG_SCALAR
+#define PyArray_FLOAT_SCALAR   NPY_FLOAT_SCALAR
+#define PyArray_COMPLEX_SCALAR NPY_COMPLEX_SCALAR
+#define PyArray_OBJECT_SCALAR  NPY_OBJECT_SCALAR
+#define PyArray_SCALARKIND     NPY_SCALARKIND
+#define PyArray_NSCALARKINDS   NPY_NSCALARKINDS
+
+#define PyArray_ANYORDER     NPY_ANYORDER
+#define PyArray_CORDER       NPY_CORDER
+#define PyArray_FORTRANORDER NPY_FORTRANORDER
+#define PyArray_ORDER        NPY_ORDER
+
+#define PyDescr_ISBOOL      PyDataType_ISBOOL
+#define PyDescr_ISUNSIGNED  PyDataType_ISUNSIGNED
+#define PyDescr_ISSIGNED    PyDataType_ISSIGNED
+#define PyDescr_ISINTEGER   PyDataType_ISINTEGER
+#define PyDescr_ISFLOAT     PyDataType_ISFLOAT
+#define PyDescr_ISNUMBER    PyDataType_ISNUMBER
+#define PyDescr_ISSTRING    PyDataType_ISSTRING
+#define PyDescr_ISCOMPLEX   PyDataType_ISCOMPLEX
+#define PyDescr_ISPYTHON    PyDataType_ISPYTHON
+#define PyDescr_ISFLEXIBLE  PyDataType_ISFLEXIBLE
+#define PyDescr_ISUSERDEF   PyDataType_ISUSERDEF
+#define PyDescr_ISEXTENDED  PyDataType_ISEXTENDED
+#define PyDescr_ISOBJECT    PyDataType_ISOBJECT
+#define PyDescr_HASFIELDS   PyDataType_HASFIELDS
+
+#define PyArray_LITTLE NPY_LITTLE
+#define PyArray_BIG NPY_BIG
+#define PyArray_NATIVE NPY_NATIVE
+#define PyArray_SWAP NPY_SWAP
+#define PyArray_IGNORE NPY_IGNORE
+
+#define PyArray_NATBYTE NPY_NATBYTE
+#define PyArray_OPPBYTE NPY_OPPBYTE
+
+#define PyArray_MAX_ELSIZE NPY_MAX_ELSIZE
+
+#define PyArray_USE_PYMEM NPY_USE_PYMEM
+
+#define PyArray_RemoveLargest PyArray_RemoveSmallest
+
+#define PyArray_UCS4 npy_ucs4
+
+#endif  /* NUMPY_CORE_INCLUDE_NUMPY_OLD_DEFINES_H_ */

evalkit_tf437/lib/python3.10/site-packages/numpy/core/include/numpy/random/libdivide.h

@@ -0,0 +1,2079 @@
+// libdivide.h - Optimized integer division
+// https://libdivide.com
+//
+// Copyright (C) 2010 - 2019 ridiculous_fish, <libdivide@ridiculousfish.com>
+// Copyright (C) 2016 - 2019 Kim Walisch, <kim.walisch@gmail.com>
+//
+// libdivide is dual-licensed under the Boost or zlib licenses.
+// You may use libdivide under the terms of either of these.
+// See LICENSE.txt for more details.
+
+#ifndef NUMPY_CORE_INCLUDE_NUMPY_LIBDIVIDE_LIBDIVIDE_H_
+#define NUMPY_CORE_INCLUDE_NUMPY_LIBDIVIDE_LIBDIVIDE_H_
+
+#define LIBDIVIDE_VERSION "3.0"
+#define LIBDIVIDE_VERSION_MAJOR 3
+#define LIBDIVIDE_VERSION_MINOR 0
+
+#include <stdint.h>
+
+#if defined(__cplusplus)
+    #include <cstdlib>
+    #include <cstdio>
+    #include <type_traits>
+#else
+    #include <stdlib.h>
+    #include <stdio.h>
+#endif
+
+#if defined(LIBDIVIDE_AVX512)
+    #include <immintrin.h>
+#elif defined(LIBDIVIDE_AVX2)
+    #include <immintrin.h>
+#elif defined(LIBDIVIDE_SSE2)
+    #include <emmintrin.h>
+#endif
+
+#if defined(_MSC_VER)
+    #include <intrin.h>
+    // disable warning C4146: unary minus operator applied
+    // to unsigned type, result still unsigned
+    #pragma warning(disable: 4146)
+    #define LIBDIVIDE_VC
+#endif
+
+#if !defined(__has_builtin)
+    #define __has_builtin(x) 0
+#endif
+
+#if defined(__SIZEOF_INT128__)
+    #define HAS_INT128_T
+    // clang-cl on Windows does not yet support 128-bit division
+    #if !(defined(__clang__) && defined(LIBDIVIDE_VC))
+        #define HAS_INT128_DIV
+    #endif
+#endif
+
+#if defined(__x86_64__) || defined(_M_X64)
+    #define LIBDIVIDE_X86_64
+#endif
+
+#if defined(__i386__)
+    #define LIBDIVIDE_i386
+#endif
+
+#if defined(__GNUC__) || defined(__clang__)
+    #define LIBDIVIDE_GCC_STYLE_ASM
+#endif
+
+#if defined(__cplusplus) || defined(LIBDIVIDE_VC)
+    #define LIBDIVIDE_FUNCTION __FUNCTION__
+#else
+    #define LIBDIVIDE_FUNCTION __func__
+#endif
+
+#define LIBDIVIDE_ERROR(msg) \
+    do { \
+        fprintf(stderr, "libdivide.h:%d: %s(): Error: %s\n", \
+            __LINE__, LIBDIVIDE_FUNCTION, msg); \
+        abort(); \
+    } while (0)
+
+#if defined(LIBDIVIDE_ASSERTIONS_ON)
+    #define LIBDIVIDE_ASSERT(x) \
+        do { \
+            if (!(x)) { \
+                fprintf(stderr, "libdivide.h:%d: %s(): Assertion failed: %s\n", \
+                    __LINE__, LIBDIVIDE_FUNCTION, #x); \
+                abort(); \
+            } \
+        } while (0)
+#else
+    #define LIBDIVIDE_ASSERT(x)
+#endif
+
+#ifdef __cplusplus
+namespace libdivide {
+#endif
+
+// pack divider structs to prevent compilers from padding.
+// This reduces memory usage by up to 43% when using a large
+// array of libdivide dividers and improves performance
+// by up to 10% because of reduced memory bandwidth.
+#pragma pack(push, 1)
+
+struct libdivide_u32_t {
+    uint32_t magic;
+    uint8_t more;
+};
+
+struct libdivide_s32_t {
+    int32_t magic;
+    uint8_t more;
+};
+
+struct libdivide_u64_t {
+    uint64_t magic;
+    uint8_t more;
+};
+
+struct libdivide_s64_t {
+    int64_t magic;
+    uint8_t more;
+};
+
+struct libdivide_u32_branchfree_t {
+    uint32_t magic;
+    uint8_t more;
+};
+
+struct libdivide_s32_branchfree_t {
+    int32_t magic;
+    uint8_t more;
+};
+
+struct libdivide_u64_branchfree_t {
+    uint64_t magic;
+    uint8_t more;
+};
+
+struct libdivide_s64_branchfree_t {
+    int64_t magic;
+    uint8_t more;
+};
+
+#pragma pack(pop)
+
+// Explanation of the "more" field:
+//
+// * Bits 0-5 is the shift value (for shift path or mult path).
+// * Bit 6 is the add indicator for mult path.
+// * Bit 7 is set if the divisor is negative. We use bit 7 as the negative
+//   divisor indicator so that we can efficiently use sign extension to
+//   create a bitmask with all bits set to 1 (if the divisor is negative)
+//   or 0 (if the divisor is positive).
+//
+// u32: [0-4] shift value
+//      [5] ignored
+//      [6] add indicator
+//      magic number of 0 indicates shift path
+//
+// s32: [0-4] shift value
+//      [5] ignored
+//      [6] add indicator
+//      [7] indicates negative divisor
+//      magic number of 0 indicates shift path
+//
+// u64: [0-5] shift value
+//      [6] add indicator
+//      magic number of 0 indicates shift path
+//
+// s64: [0-5] shift value
+//      [6] add indicator
+//      [7] indicates negative divisor
+//      magic number of 0 indicates shift path
+//
+// In s32 and s64 branchfree modes, the magic number is negated according to
+// whether the divisor is negated. In branchfree strategy, it is not negated.
+
+enum {
+    LIBDIVIDE_32_SHIFT_MASK = 0x1F,
+    LIBDIVIDE_64_SHIFT_MASK = 0x3F,
+    LIBDIVIDE_ADD_MARKER = 0x40,
+    LIBDIVIDE_NEGATIVE_DIVISOR = 0x80
+};
+
+static inline struct libdivide_s32_t libdivide_s32_gen(int32_t d);
+static inline struct libdivide_u32_t libdivide_u32_gen(uint32_t d);
+static inline struct libdivide_s64_t libdivide_s64_gen(int64_t d);
+static inline struct libdivide_u64_t libdivide_u64_gen(uint64_t d);
+
+static inline struct libdivide_s32_branchfree_t libdivide_s32_branchfree_gen(int32_t d);
+static inline struct libdivide_u32_branchfree_t libdivide_u32_branchfree_gen(uint32_t d);
+static inline struct libdivide_s64_branchfree_t libdivide_s64_branchfree_gen(int64_t d);
+static inline struct libdivide_u64_branchfree_t libdivide_u64_branchfree_gen(uint64_t d);
+
+static inline int32_t  libdivide_s32_do(int32_t numer, const struct libdivide_s32_t *denom);
+static inline uint32_t libdivide_u32_do(uint32_t numer, const struct libdivide_u32_t *denom);
+static inline int64_t  libdivide_s64_do(int64_t numer, const struct libdivide_s64_t *denom);
+static inline uint64_t libdivide_u64_do(uint64_t numer, const struct libdivide_u64_t *denom);
+
+static inline int32_t  libdivide_s32_branchfree_do(int32_t numer, const struct libdivide_s32_branchfree_t *denom);
+static inline uint32_t libdivide_u32_branchfree_do(uint32_t numer, const struct libdivide_u32_branchfree_t *denom);
+static inline int64_t  libdivide_s64_branchfree_do(int64_t numer, const struct libdivide_s64_branchfree_t *denom);
+static inline uint64_t libdivide_u64_branchfree_do(uint64_t numer, const struct libdivide_u64_branchfree_t *denom);
+
+static inline int32_t  libdivide_s32_recover(const struct libdivide_s32_t *denom);
+static inline uint32_t libdivide_u32_recover(const struct libdivide_u32_t *denom);
+static inline int64_t  libdivide_s64_recover(const struct libdivide_s64_t *denom);
+static inline uint64_t libdivide_u64_recover(const struct libdivide_u64_t *denom);
+
+static inline int32_t  libdivide_s32_branchfree_recover(const struct libdivide_s32_branchfree_t *denom);
+static inline uint32_t libdivide_u32_branchfree_recover(const struct libdivide_u32_branchfree_t *denom);
+static inline int64_t  libdivide_s64_branchfree_recover(const struct libdivide_s64_branchfree_t *denom);
+static inline uint64_t libdivide_u64_branchfree_recover(const struct libdivide_u64_branchfree_t *denom);
+
+//////// Internal Utility Functions
+
+static inline uint32_t libdivide_mullhi_u32(uint32_t x, uint32_t y) {
+    uint64_t xl = x, yl = y;
+    uint64_t rl = xl * yl;
+    return (uint32_t)(rl >> 32);
+}
+
+static inline int32_t libdivide_mullhi_s32(int32_t x, int32_t y) {
+    int64_t xl = x, yl = y;
+    int64_t rl = xl * yl;
+    // needs to be arithmetic shift
+    return (int32_t)(rl >> 32);
+}
+
+static inline uint64_t libdivide_mullhi_u64(uint64_t x, uint64_t y) {
+#if defined(LIBDIVIDE_VC) && \
+    defined(LIBDIVIDE_X86_64)
+    return __umulh(x, y);
+#elif defined(HAS_INT128_T)
+    __uint128_t xl = x, yl = y;
+    __uint128_t rl = xl * yl;
+    return (uint64_t)(rl >> 64);
+#else
+    // full 128 bits are x0 * y0 + (x0 * y1 << 32) + (x1 * y0 << 32) + (x1 * y1 << 64)
+    uint32_t mask = 0xFFFFFFFF;
+    uint32_t x0 = (uint32_t)(x & mask);
+    uint32_t x1 = (uint32_t)(x >> 32);
+    uint32_t y0 = (uint32_t)(y & mask);
+    uint32_t y1 = (uint32_t)(y >> 32);
+    uint32_t x0y0_hi = libdivide_mullhi_u32(x0, y0);
+    uint64_t x0y1 = x0 * (uint64_t)y1;
+    uint64_t x1y0 = x1 * (uint64_t)y0;
+    uint64_t x1y1 = x1 * (uint64_t)y1;
+    uint64_t temp = x1y0 + x0y0_hi;
+    uint64_t temp_lo = temp & mask;
+    uint64_t temp_hi = temp >> 32;
+
+    return x1y1 + temp_hi + ((temp_lo + x0y1) >> 32);
+#endif
+}
+
+static inline int64_t libdivide_mullhi_s64(int64_t x, int64_t y) {
+#if defined(LIBDIVIDE_VC) && \
+    defined(LIBDIVIDE_X86_64)
+    return __mulh(x, y);
+#elif defined(HAS_INT128_T)
+    __int128_t xl = x, yl = y;
+    __int128_t rl = xl * yl;
+    return (int64_t)(rl >> 64);
+#else
+    // full 128 bits are x0 * y0 + (x0 * y1 << 32) + (x1 * y0 << 32) + (x1 * y1 << 64)
+    uint32_t mask = 0xFFFFFFFF;
+    uint32_t x0 = (uint32_t)(x & mask);
+    uint32_t y0 = (uint32_t)(y & mask);
+    int32_t x1 = (int32_t)(x >> 32);
+    int32_t y1 = (int32_t)(y >> 32);
+    uint32_t x0y0_hi = libdivide_mullhi_u32(x0, y0);
+    int64_t t = x1 * (int64_t)y0 + x0y0_hi;
+    int64_t w1 = x0 * (int64_t)y1 + (t & mask);
+
+    return x1 * (int64_t)y1 + (t >> 32) + (w1 >> 32);
+#endif
+}
+
+static inline int32_t libdivide_count_leading_zeros32(uint32_t val) {
+#if defined(__GNUC__) || \
+    __has_builtin(__builtin_clz)
+    // Fast way to count leading zeros
+    return __builtin_clz(val);
+#elif defined(LIBDIVIDE_VC)
+    unsigned long result;
+    if (_BitScanReverse(&result, val)) {
+        return 31 - result;
+    }
+    return 0;
+#else
+    if (val == 0)
+        return 32;
+    int32_t result = 8;
+    uint32_t hi = 0xFFU << 24;
+    while ((val & hi) == 0) {
+        hi >>= 8;
+        result += 8;
+    }
+    while (val & hi) {
+        result -= 1;
+        hi <<= 1;
+    }
+    return result;
+#endif
+}
+
+static inline int32_t libdivide_count_leading_zeros64(uint64_t val) {
+#if defined(__GNUC__) || \
+    __has_builtin(__builtin_clzll)
+    // Fast way to count leading zeros
+    return __builtin_clzll(val);
+#elif defined(LIBDIVIDE_VC) && defined(_WIN64)
+    unsigned long result;
+    if (_BitScanReverse64(&result, val)) {
+        return 63 - result;
+    }
+    return 0;
+#else
+    uint32_t hi = val >> 32;
+    uint32_t lo = val & 0xFFFFFFFF;
+    if (hi != 0) return libdivide_count_leading_zeros32(hi);
+    return 32 + libdivide_count_leading_zeros32(lo);
+#endif
+}
+
+// libdivide_64_div_32_to_32: divides a 64-bit uint {u1, u0} by a 32-bit
+// uint {v}. The result must fit in 32 bits.
+// Returns the quotient directly and the remainder in *r
+static inline uint32_t libdivide_64_div_32_to_32(uint32_t u1, uint32_t u0, uint32_t v, uint32_t *r) {
+#if (defined(LIBDIVIDE_i386) || defined(LIBDIVIDE_X86_64)) && \
+     defined(LIBDIVIDE_GCC_STYLE_ASM)
+    uint32_t result;
+    __asm__("divl %[v]"
+            : "=a"(result), "=d"(*r)
+            : [v] "r"(v), "a"(u0), "d"(u1)
+            );
+    return result;
+#else
+    uint64_t n = ((uint64_t)u1 << 32) | u0;
+    uint32_t result = (uint32_t)(n / v);
+    *r = (uint32_t)(n - result * (uint64_t)v);
+    return result;
+#endif
+}
+
+// libdivide_128_div_64_to_64: divides a 128-bit uint {u1, u0} by a 64-bit
+// uint {v}. The result must fit in 64 bits.
+// Returns the quotient directly and the remainder in *r
+static uint64_t libdivide_128_div_64_to_64(uint64_t u1, uint64_t u0, uint64_t v, uint64_t *r) {
+#if defined(LIBDIVIDE_X86_64) && \
+    defined(LIBDIVIDE_GCC_STYLE_ASM)
+    uint64_t result;
+    __asm__("divq %[v]"
+            : "=a"(result), "=d"(*r)
+            : [v] "r"(v), "a"(u0), "d"(u1)
+            );
+    return result;
+#elif defined(HAS_INT128_T) && \
+      defined(HAS_INT128_DIV)
+    __uint128_t n = ((__uint128_t)u1 << 64) | u0;
+    uint64_t result = (uint64_t)(n / v);
+    *r = (uint64_t)(n - result * (__uint128_t)v);
+    return result;
+#else
+    // Code taken from Hacker's Delight:
+    // http://www.hackersdelight.org/HDcode/divlu.c.
+    // License permits inclusion here per:
+    // http://www.hackersdelight.org/permissions.htm
+
+    const uint64_t b = (1ULL << 32); // Number base (32 bits)
+    uint64_t un1, un0; // Norm. dividend LSD's
+    uint64_t vn1, vn0; // Norm. divisor digits
+    uint64_t q1, q0; // Quotient digits
+    uint64_t un64, un21, un10; // Dividend digit pairs
+    uint64_t rhat; // A remainder
+    int32_t s; // Shift amount for norm
+
+    // If overflow, set rem. to an impossible value,
+    // and return the largest possible quotient
+    if (u1 >= v) {
+        *r = (uint64_t) -1;
+        return (uint64_t) -1;
+    }
+
+    // count leading zeros
+    s = libdivide_count_leading_zeros64(v);
+    if (s > 0) {
+        // Normalize divisor
+        v = v << s;
+        un64 = (u1 << s) | (u0 >> (64 - s));
+        un10 = u0 << s; // Shift dividend left
+    } else {
+        // Avoid undefined behavior of (u0 >> 64).
+        // The behavior is undefined if the right operand is
+        // negative, or greater than or equal to the length
+        // in bits of the promoted left operand.
+        un64 = u1;
+        un10 = u0;
+    }
+
+    // Break divisor up into two 32-bit digits
+    vn1 = v >> 32;
+    vn0 = v & 0xFFFFFFFF;
+
+    // Break right half of dividend into two digits
+    un1 = un10 >> 32;
+    un0 = un10 & 0xFFFFFFFF;
+
+    // Compute the first quotient digit, q1
+    q1 = un64 / vn1;
+    rhat = un64 - q1 * vn1;
+
+    while (q1 >= b || q1 * vn0 > b * rhat + un1) {
+        q1 = q1 - 1;
+        rhat = rhat + vn1;
+        if (rhat >= b)
+            break;
+    }
+
+     // Multiply and subtract
+    un21 = un64 * b + un1 - q1 * v;
+
+    // Compute the second quotient digit
+    q0 = un21 / vn1;
+    rhat = un21 - q0 * vn1;
+
+    while (q0 >= b || q0 * vn0 > b * rhat + un0) {
+        q0 = q0 - 1;
+        rhat = rhat + vn1;
+        if (rhat >= b)
+            break;
+    }
+
+    *r = (un21 * b + un0 - q0 * v) >> s;
+    return q1 * b + q0;
+#endif
+}
+
+// Bitshift a u128 in place, left (signed_shift > 0) or right (signed_shift < 0)
+static inline void libdivide_u128_shift(uint64_t *u1, uint64_t *u0, int32_t signed_shift) {
+    if (signed_shift > 0) {
+        uint32_t shift = signed_shift;
+        *u1 <<= shift;
+        *u1 |= *u0 >> (64 - shift);
+        *u0 <<= shift;
+    }
+    else if (signed_shift < 0) {
+        uint32_t shift = -signed_shift;
+        *u0 >>= shift;
+        *u0 |= *u1 << (64 - shift);
+        *u1 >>= shift;
+    }
+}
+
+// Computes a 128 / 128 -> 64 bit division, with a 128 bit remainder.
+static uint64_t libdivide_128_div_128_to_64(uint64_t u_hi, uint64_t u_lo, uint64_t v_hi, uint64_t v_lo, uint64_t *r_hi, uint64_t *r_lo) {
+#if defined(HAS_INT128_T) && \
+    defined(HAS_INT128_DIV)
+    __uint128_t ufull = u_hi;
+    __uint128_t vfull = v_hi;
+    ufull = (ufull << 64) | u_lo;
+    vfull = (vfull << 64) | v_lo;
+    uint64_t res = (uint64_t)(ufull / vfull);
+    __uint128_t remainder = ufull - (vfull * res);
+    *r_lo = (uint64_t)remainder;
+    *r_hi = (uint64_t)(remainder >> 64);
+    return res;
+#else
+    // Adapted from "Unsigned Doubleword Division" in Hacker's Delight
+    // We want to compute u / v
+    typedef struct { uint64_t hi; uint64_t lo; } u128_t;
+    u128_t u = {u_hi, u_lo};
+    u128_t v = {v_hi, v_lo};
+
+    if (v.hi == 0) {
+        // divisor v is a 64 bit value, so we just need one 128/64 division
+        // Note that we are simpler than Hacker's Delight here, because we know
+        // the quotient fits in 64 bits whereas Hacker's Delight demands a full
+        // 128 bit quotient
+        *r_hi = 0;
+        return libdivide_128_div_64_to_64(u.hi, u.lo, v.lo, r_lo);
+    }
+    // Here v >= 2**64
+    // We know that v.hi != 0, so count leading zeros is OK
+    // We have 0 <= n <= 63
+    uint32_t n = libdivide_count_leading_zeros64(v.hi);
+
+    // Normalize the divisor so its MSB is 1
+    u128_t v1t = v;
+    libdivide_u128_shift(&v1t.hi, &v1t.lo, n);
+    uint64_t v1 = v1t.hi; // i.e. v1 = v1t >> 64
+
+    // To ensure no overflow
+    u128_t u1 = u;
+    libdivide_u128_shift(&u1.hi, &u1.lo, -1);
+
+    // Get quotient from divide unsigned insn.
+    uint64_t rem_ignored;
+    uint64_t q1 = libdivide_128_div_64_to_64(u1.hi, u1.lo, v1, &rem_ignored);
+
+    // Undo normalization and division of u by 2.
+    u128_t q0 = {0, q1};
+    libdivide_u128_shift(&q0.hi, &q0.lo, n);
+    libdivide_u128_shift(&q0.hi, &q0.lo, -63);
+
+    // Make q0 correct or too small by 1
+    // Equivalent to `if (q0 != 0) q0 = q0 - 1;`
+    if (q0.hi != 0 || q0.lo != 0) {
+        q0.hi -= (q0.lo == 0); // borrow
+        q0.lo -= 1;
+    }
+
+    // Now q0 is correct.
+    // Compute q0 * v as q0v
+    // = (q0.hi << 64 + q0.lo) * (v.hi << 64 + v.lo)
+    // = (q0.hi * v.hi << 128) + (q0.hi * v.lo << 64) +
+    //   (q0.lo * v.hi <<  64) + q0.lo * v.lo)
+    // Each term is 128 bit
+    // High half of full product (upper 128 bits!) are dropped
+    u128_t q0v = {0, 0};
+    q0v.hi = q0.hi*v.lo + q0.lo*v.hi + libdivide_mullhi_u64(q0.lo, v.lo);
+    q0v.lo = q0.lo*v.lo;
+
+    // Compute u - q0v as u_q0v
+    // This is the remainder
+    u128_t u_q0v = u;
+    u_q0v.hi -= q0v.hi + (u.lo < q0v.lo); // second term is borrow
+    u_q0v.lo -= q0v.lo;
+
+    // Check if u_q0v >= v
+    // This checks if our remainder is larger than the divisor
+    if ((u_q0v.hi > v.hi) ||
+        (u_q0v.hi == v.hi && u_q0v.lo >= v.lo)) {
+        // Increment q0
+        q0.lo += 1;
+        q0.hi += (q0.lo == 0); // carry
+
+        // Subtract v from remainder
+        u_q0v.hi -= v.hi + (u_q0v.lo < v.lo);
+        u_q0v.lo -= v.lo;
+    }
+
+    *r_hi = u_q0v.hi;
+    *r_lo = u_q0v.lo;
+
+    LIBDIVIDE_ASSERT(q0.hi == 0);
+    return q0.lo;
+#endif
+}
+
+////////// UINT32
+
+static inline struct libdivide_u32_t libdivide_internal_u32_gen(uint32_t d, int branchfree) {
+    if (d == 0) {
+        LIBDIVIDE_ERROR("divider must be != 0");
+    }
+
+    struct libdivide_u32_t result;
+    uint32_t floor_log_2_d = 31 - libdivide_count_leading_zeros32(d);
+
+    // Power of 2
+    if ((d & (d - 1)) == 0) {
+        // We need to subtract 1 from the shift value in case of an unsigned
+        // branchfree divider because there is a hardcoded right shift by 1
+        // in its division algorithm. Because of this we also need to add back
+        // 1 in its recovery algorithm.
+        result.magic = 0;
+        result.more = (uint8_t)(floor_log_2_d - (branchfree != 0));
+    } else {
+        uint8_t more;
+        uint32_t rem, proposed_m;
+        proposed_m = libdivide_64_div_32_to_32(1U << floor_log_2_d, 0, d, &rem);
+
+        LIBDIVIDE_ASSERT(rem > 0 && rem < d);
+        const uint32_t e = d - rem;
+
+        // This power works if e < 2**floor_log_2_d.
+        if (!branchfree && (e < (1U << floor_log_2_d))) {
+            // This power works
+            more = floor_log_2_d;
+        } else {
+            // We have to use the general 33-bit algorithm.  We need to compute
+            // (2**power) / d. However, we already have (2**(power-1))/d and
+            // its remainder.  By doubling both, and then correcting the
+            // remainder, we can compute the larger division.
+            // don't care about overflow here - in fact, we expect it
+            proposed_m += proposed_m;
+            const uint32_t twice_rem = rem + rem;
+            if (twice_rem >= d || twice_rem < rem) proposed_m += 1;
+            more = floor_log_2_d | LIBDIVIDE_ADD_MARKER;
+        }
+        result.magic = 1 + proposed_m;
+        result.more = more;
+        // result.more's shift should in general be ceil_log_2_d. But if we
+        // used the smaller power, we subtract one from the shift because we're
+        // using the smaller power. If we're using the larger power, we
+        // subtract one from the shift because it's taken care of by the add
+        // indicator. So floor_log_2_d happens to be correct in both cases.
+    }
+    return result;
+}
+
+struct libdivide_u32_t libdivide_u32_gen(uint32_t d) {
+    return libdivide_internal_u32_gen(d, 0);
+}
+
+struct libdivide_u32_branchfree_t libdivide_u32_branchfree_gen(uint32_t d) {
+    if (d == 1) {
+        LIBDIVIDE_ERROR("branchfree divider must be != 1");
+    }
+    struct libdivide_u32_t tmp = libdivide_internal_u32_gen(d, 1);
+    struct libdivide_u32_branchfree_t ret = {tmp.magic, (uint8_t)(tmp.more & LIBDIVIDE_32_SHIFT_MASK)};
+    return ret;
+}
+
+uint32_t libdivide_u32_do(uint32_t numer, const struct libdivide_u32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return numer >> more;
+    }
+    else {
+        uint32_t q = libdivide_mullhi_u32(denom->magic, numer);
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            uint32_t t = ((numer - q) >> 1) + q;
+            return t >> (more & LIBDIVIDE_32_SHIFT_MASK);
+        }
+        else {
+            // All upper bits are 0,
+            // don't need to mask them off.
+            return q >> more;
+        }
+    }
+}
+
+uint32_t libdivide_u32_branchfree_do(uint32_t numer, const struct libdivide_u32_branchfree_t *denom) {
+    uint32_t q = libdivide_mullhi_u32(denom->magic, numer);
+    uint32_t t = ((numer - q) >> 1) + q;
+    return t >> denom->more;
+}
+
+uint32_t libdivide_u32_recover(const struct libdivide_u32_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+
+    if (!denom->magic) {
+        return 1U << shift;
+    } else if (!(more & LIBDIVIDE_ADD_MARKER)) {
+        // We compute q = n/d = n*m / 2^(32 + shift)
+        // Therefore we have d = 2^(32 + shift) / m
+        // We need to ceil it.
+        // We know d is not a power of 2, so m is not a power of 2,
+        // so we can just add 1 to the floor
+        uint32_t hi_dividend = 1U << shift;
+        uint32_t rem_ignored;
+        return 1 + libdivide_64_div_32_to_32(hi_dividend, 0, denom->magic, &rem_ignored);
+    } else {
+        // Here we wish to compute d = 2^(32+shift+1)/(m+2^32).
+        // Notice (m + 2^32) is a 33 bit number. Use 64 bit division for now
+        // Also note that shift may be as high as 31, so shift + 1 will
+        // overflow. So we have to compute it as 2^(32+shift)/(m+2^32), and
+        // then double the quotient and remainder.
+        uint64_t half_n = 1ULL << (32 + shift);
+        uint64_t d = (1ULL << 32) | denom->magic;
+        // Note that the quotient is guaranteed <= 32 bits, but the remainder
+        // may need 33!
+        uint32_t half_q = (uint32_t)(half_n / d);
+        uint64_t rem = half_n % d;
+        // We computed 2^(32+shift)/(m+2^32)
+        // Need to double it, and then add 1 to the quotient if doubling th
+        // remainder would increase the quotient.
+        // Note that rem<<1 cannot overflow, since rem < d and d is 33 bits
+        uint32_t full_q = half_q + half_q + ((rem<<1) >= d);
+
+        // We rounded down in gen (hence +1)
+        return full_q + 1;
+    }
+}
+
+uint32_t libdivide_u32_branchfree_recover(const struct libdivide_u32_branchfree_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+
+    if (!denom->magic) {
+        return 1U << (shift + 1);
+    } else {
+        // Here we wish to compute d = 2^(32+shift+1)/(m+2^32).
+        // Notice (m + 2^32) is a 33 bit number. Use 64 bit division for now
+        // Also note that shift may be as high as 31, so shift + 1 will
+        // overflow. So we have to compute it as 2^(32+shift)/(m+2^32), and
+        // then double the quotient and remainder.
+        uint64_t half_n = 1ULL << (32 + shift);
+        uint64_t d = (1ULL << 32) | denom->magic;
+        // Note that the quotient is guaranteed <= 32 bits, but the remainder
+        // may need 33!
+        uint32_t half_q = (uint32_t)(half_n / d);
+        uint64_t rem = half_n % d;
+        // We computed 2^(32+shift)/(m+2^32)
+        // Need to double it, and then add 1 to the quotient if doubling th
+        // remainder would increase the quotient.
+        // Note that rem<<1 cannot overflow, since rem < d and d is 33 bits
+        uint32_t full_q = half_q + half_q + ((rem<<1) >= d);
+
+        // We rounded down in gen (hence +1)
+        return full_q + 1;
+    }
+}
+
+/////////// UINT64
+
+static inline struct libdivide_u64_t libdivide_internal_u64_gen(uint64_t d, int branchfree) {
+    if (d == 0) {
+        LIBDIVIDE_ERROR("divider must be != 0");
+    }
+
+    struct libdivide_u64_t result;
+    uint32_t floor_log_2_d = 63 - libdivide_count_leading_zeros64(d);
+
+    // Power of 2
+    if ((d & (d - 1)) == 0) {
+        // We need to subtract 1 from the shift value in case of an unsigned
+        // branchfree divider because there is a hardcoded right shift by 1
+        // in its division algorithm. Because of this we also need to add back
+        // 1 in its recovery algorithm.
+        result.magic = 0;
+        result.more = (uint8_t)(floor_log_2_d - (branchfree != 0));
+    } else {
+        uint64_t proposed_m, rem;
+        uint8_t more;
+        // (1 << (64 + floor_log_2_d)) / d
+        proposed_m = libdivide_128_div_64_to_64(1ULL << floor_log_2_d, 0, d, &rem);
+
+        LIBDIVIDE_ASSERT(rem > 0 && rem < d);
+        const uint64_t e = d - rem;
+
+        // This power works if e < 2**floor_log_2_d.
+        if (!branchfree && e < (1ULL << floor_log_2_d)) {
+            // This power works
+            more = floor_log_2_d;
+        } else {
+            // We have to use the general 65-bit algorithm.  We need to compute
+            // (2**power) / d. However, we already have (2**(power-1))/d and
+            // its remainder. By doubling both, and then correcting the
+            // remainder, we can compute the larger division.
+            // don't care about overflow here - in fact, we expect it
+            proposed_m += proposed_m;
+            const uint64_t twice_rem = rem + rem;
+            if (twice_rem >= d || twice_rem < rem) proposed_m += 1;
+                more = floor_log_2_d | LIBDIVIDE_ADD_MARKER;
+        }
+        result.magic = 1 + proposed_m;
+        result.more = more;
+        // result.more's shift should in general be ceil_log_2_d. But if we
+        // used the smaller power, we subtract one from the shift because we're
+        // using the smaller power. If we're using the larger power, we
+        // subtract one from the shift because it's taken care of by the add
+        // indicator. So floor_log_2_d happens to be correct in both cases,
+        // which is why we do it outside of the if statement.
+    }
+    return result;
+}
+
+struct libdivide_u64_t libdivide_u64_gen(uint64_t d) {
+    return libdivide_internal_u64_gen(d, 0);
+}
+
+struct libdivide_u64_branchfree_t libdivide_u64_branchfree_gen(uint64_t d) {
+    if (d == 1) {
+        LIBDIVIDE_ERROR("branchfree divider must be != 1");
+    }
+    struct libdivide_u64_t tmp = libdivide_internal_u64_gen(d, 1);
+    struct libdivide_u64_branchfree_t ret = {tmp.magic, (uint8_t)(tmp.more & LIBDIVIDE_64_SHIFT_MASK)};
+    return ret;
+}
+
+uint64_t libdivide_u64_do(uint64_t numer, const struct libdivide_u64_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return numer >> more;
+    }
+    else {
+        uint64_t q = libdivide_mullhi_u64(denom->magic, numer);
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            uint64_t t = ((numer - q) >> 1) + q;
+            return t >> (more & LIBDIVIDE_64_SHIFT_MASK);
+        }
+        else {
+             // All upper bits are 0,
+             // don't need to mask them off.
+            return q >> more;
+        }
+    }
+}
+
+uint64_t libdivide_u64_branchfree_do(uint64_t numer, const struct libdivide_u64_branchfree_t *denom) {
+    uint64_t q = libdivide_mullhi_u64(denom->magic, numer);
+    uint64_t t = ((numer - q) >> 1) + q;
+    return t >> denom->more;
+}
+
+uint64_t libdivide_u64_recover(const struct libdivide_u64_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+
+    if (!denom->magic) {
+        return 1ULL << shift;
+    } else if (!(more & LIBDIVIDE_ADD_MARKER)) {
+        // We compute q = n/d = n*m / 2^(64 + shift)
+        // Therefore we have d = 2^(64 + shift) / m
+        // We need to ceil it.
+        // We know d is not a power of 2, so m is not a power of 2,
+        // so we can just add 1 to the floor
+        uint64_t hi_dividend = 1ULL << shift;
+        uint64_t rem_ignored;
+        return 1 + libdivide_128_div_64_to_64(hi_dividend, 0, denom->magic, &rem_ignored);
+    } else {
+        // Here we wish to compute d = 2^(64+shift+1)/(m+2^64).
+        // Notice (m + 2^64) is a 65 bit number. This gets hairy. See
+        // libdivide_u32_recover for more on what we do here.
+        // TODO: do something better than 128 bit math
+
+        // Full n is a (potentially) 129 bit value
+        // half_n is a 128 bit value
+        // Compute the hi half of half_n. Low half is 0.
+        uint64_t half_n_hi = 1ULL << shift, half_n_lo = 0;
+        // d is a 65 bit value. The high bit is always set to 1.
+        const uint64_t d_hi = 1, d_lo = denom->magic;
+        // Note that the quotient is guaranteed <= 64 bits,
+        // but the remainder may need 65!
+        uint64_t r_hi, r_lo;
+        uint64_t half_q = libdivide_128_div_128_to_64(half_n_hi, half_n_lo, d_hi, d_lo, &r_hi, &r_lo);
+        // We computed 2^(64+shift)/(m+2^64)
+        // Double the remainder ('dr') and check if that is larger than d
+        // Note that d is a 65 bit value, so r1 is small and so r1 + r1
+        // cannot overflow
+        uint64_t dr_lo = r_lo + r_lo;
+        uint64_t dr_hi = r_hi + r_hi + (dr_lo < r_lo); // last term is carry
+        int dr_exceeds_d = (dr_hi > d_hi) || (dr_hi == d_hi && dr_lo >= d_lo);
+        uint64_t full_q = half_q + half_q + (dr_exceeds_d ? 1 : 0);
+        return full_q + 1;
+    }
+}
+
+uint64_t libdivide_u64_branchfree_recover(const struct libdivide_u64_branchfree_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+
+    if (!denom->magic) {
+        return 1ULL << (shift + 1);
+    } else {
+        // Here we wish to compute d = 2^(64+shift+1)/(m+2^64).
+        // Notice (m + 2^64) is a 65 bit number. This gets hairy. See
+        // libdivide_u32_recover for more on what we do here.
+        // TODO: do something better than 128 bit math
+
+        // Full n is a (potentially) 129 bit value
+        // half_n is a 128 bit value
+        // Compute the hi half of half_n. Low half is 0.
+        uint64_t half_n_hi = 1ULL << shift, half_n_lo = 0;
+        // d is a 65 bit value. The high bit is always set to 1.
+        const uint64_t d_hi = 1, d_lo = denom->magic;
+        // Note that the quotient is guaranteed <= 64 bits,
+        // but the remainder may need 65!
+        uint64_t r_hi, r_lo;
+        uint64_t half_q = libdivide_128_div_128_to_64(half_n_hi, half_n_lo, d_hi, d_lo, &r_hi, &r_lo);
+        // We computed 2^(64+shift)/(m+2^64)
+        // Double the remainder ('dr') and check if that is larger than d
+        // Note that d is a 65 bit value, so r1 is small and so r1 + r1
+        // cannot overflow
+        uint64_t dr_lo = r_lo + r_lo;
+        uint64_t dr_hi = r_hi + r_hi + (dr_lo < r_lo); // last term is carry
+        int dr_exceeds_d = (dr_hi > d_hi) || (dr_hi == d_hi && dr_lo >= d_lo);
+        uint64_t full_q = half_q + half_q + (dr_exceeds_d ? 1 : 0);
+        return full_q + 1;
+    }
+}
+
+/////////// SINT32
+
+static inline struct libdivide_s32_t libdivide_internal_s32_gen(int32_t d, int branchfree) {
+    if (d == 0) {
+        LIBDIVIDE_ERROR("divider must be != 0");
+    }
+
+    struct libdivide_s32_t result;
+
+    // If d is a power of 2, or negative a power of 2, we have to use a shift.
+    // This is especially important because the magic algorithm fails for -1.
+    // To check if d is a power of 2 or its inverse, it suffices to check
+    // whether its absolute value has exactly one bit set. This works even for
+    // INT_MIN, because abs(INT_MIN) == INT_MIN, and INT_MIN has one bit set
+    // and is a power of 2.
+    uint32_t ud = (uint32_t)d;
+    uint32_t absD = (d < 0) ? -ud : ud;
+    uint32_t floor_log_2_d = 31 - libdivide_count_leading_zeros32(absD);
+    // check if exactly one bit is set,
+    // don't care if absD is 0 since that's divide by zero
+    if ((absD & (absD - 1)) == 0) {
+        // Branchfree and normal paths are exactly the same
+        result.magic = 0;
+        result.more = floor_log_2_d | (d < 0 ? LIBDIVIDE_NEGATIVE_DIVISOR : 0);
+    } else {
+        LIBDIVIDE_ASSERT(floor_log_2_d >= 1);
+
+        uint8_t more;
+        // the dividend here is 2**(floor_log_2_d + 31), so the low 32 bit word
+        // is 0 and the high word is floor_log_2_d - 1
+        uint32_t rem, proposed_m;
+        proposed_m = libdivide_64_div_32_to_32(1U << (floor_log_2_d - 1), 0, absD, &rem);
+        const uint32_t e = absD - rem;
+
+        // We are going to start with a power of floor_log_2_d - 1.
+        // This works if works if e < 2**floor_log_2_d.
+        if (!branchfree && e < (1U << floor_log_2_d)) {
+            // This power works
+            more = floor_log_2_d - 1;
+        } else {
+            // We need to go one higher. This should not make proposed_m
+            // overflow, but it will make it negative when interpreted as an
+            // int32_t.
+            proposed_m += proposed_m;
+            const uint32_t twice_rem = rem + rem;
+            if (twice_rem >= absD || twice_rem < rem) proposed_m += 1;
+            more = floor_log_2_d | LIBDIVIDE_ADD_MARKER;
+        }
+
+        proposed_m += 1;
+        int32_t magic = (int32_t)proposed_m;
+
+        // Mark if we are negative. Note we only negate the magic number in the
+        // branchfull case.
+        if (d < 0) {
+            more |= LIBDIVIDE_NEGATIVE_DIVISOR;
+            if (!branchfree) {
+                magic = -magic;
+            }
+        }
+
+        result.more = more;
+        result.magic = magic;
+    }
+    return result;
+}
+
+struct libdivide_s32_t libdivide_s32_gen(int32_t d) {
+    return libdivide_internal_s32_gen(d, 0);
+}
+
+struct libdivide_s32_branchfree_t libdivide_s32_branchfree_gen(int32_t d) {
+    struct libdivide_s32_t tmp = libdivide_internal_s32_gen(d, 1);
+    struct libdivide_s32_branchfree_t result = {tmp.magic, tmp.more};
+    return result;
+}
+
+int32_t libdivide_s32_do(int32_t numer, const struct libdivide_s32_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+
+    if (!denom->magic) {
+        uint32_t sign = (int8_t)more >> 7;
+        uint32_t mask = (1U << shift) - 1;
+        uint32_t uq = numer + ((numer >> 31) & mask);
+        int32_t q = (int32_t)uq;
+        q >>= shift;
+        q = (q ^ sign) - sign;
+        return q;
+    } else {
+        uint32_t uq = (uint32_t)libdivide_mullhi_s32(denom->magic, numer);
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // must be arithmetic shift and then sign extend
+            int32_t sign = (int8_t)more >> 7;
+            // q += (more < 0 ? -numer : numer)
+            // cast required to avoid UB
+            uq += ((uint32_t)numer ^ sign) - sign;
+        }
+        int32_t q = (int32_t)uq;
+        q >>= shift;
+        q += (q < 0);
+        return q;
+    }
+}
+
+int32_t libdivide_s32_branchfree_do(int32_t numer, const struct libdivide_s32_branchfree_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+    // must be arithmetic shift and then sign extend
+    int32_t sign = (int8_t)more >> 7;
+    int32_t magic = denom->magic;
+    int32_t q = libdivide_mullhi_s32(magic, numer);
+    q += numer;
+
+    // If q is non-negative, we have nothing to do
+    // If q is negative, we want to add either (2**shift)-1 if d is a power of
+    // 2, or (2**shift) if it is not a power of 2
+    uint32_t is_power_of_2 = (magic == 0);
+    uint32_t q_sign = (uint32_t)(q >> 31);
+    q += q_sign & ((1U << shift) - is_power_of_2);
+
+    // Now arithmetic right shift
+    q >>= shift;
+    // Negate if needed
+    q = (q ^ sign) - sign;
+
+    return q;
+}
+
+int32_t libdivide_s32_recover(const struct libdivide_s32_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+    if (!denom->magic) {
+        uint32_t absD = 1U << shift;
+        if (more & LIBDIVIDE_NEGATIVE_DIVISOR) {
+            absD = -absD;
+        }
+        return (int32_t)absD;
+    } else {
+        // Unsigned math is much easier
+        // We negate the magic number only in the branchfull case, and we don't
+        // know which case we're in. However we have enough information to
+        // determine the correct sign of the magic number. The divisor was
+        // negative if LIBDIVIDE_NEGATIVE_DIVISOR is set. If ADD_MARKER is set,
+        // the magic number's sign is opposite that of the divisor.
+        // We want to compute the positive magic number.
+        int negative_divisor = (more & LIBDIVIDE_NEGATIVE_DIVISOR);
+        int magic_was_negated = (more & LIBDIVIDE_ADD_MARKER)
+            ? denom->magic > 0 : denom->magic < 0;
+
+        // Handle the power of 2 case (including branchfree)
+        if (denom->magic == 0) {
+            int32_t result = 1U << shift;
+            return negative_divisor ? -result : result;
+        }
+
+        uint32_t d = (uint32_t)(magic_was_negated ? -denom->magic : denom->magic);
+        uint64_t n = 1ULL << (32 + shift); // this shift cannot exceed 30
+        uint32_t q = (uint32_t)(n / d);
+        int32_t result = (int32_t)q;
+        result += 1;
+        return negative_divisor ? -result : result;
+    }
+}
+
+int32_t libdivide_s32_branchfree_recover(const struct libdivide_s32_branchfree_t *denom) {
+    return libdivide_s32_recover((const struct libdivide_s32_t *)denom);
+}
+
+///////////// SINT64
+
+static inline struct libdivide_s64_t libdivide_internal_s64_gen(int64_t d, int branchfree) {
+    if (d == 0) {
+        LIBDIVIDE_ERROR("divider must be != 0");
+    }
+
+    struct libdivide_s64_t result;
+
+    // If d is a power of 2, or negative a power of 2, we have to use a shift.
+    // This is especially important because the magic algorithm fails for -1.
+    // To check if d is a power of 2 or its inverse, it suffices to check
+    // whether its absolute value has exactly one bit set.  This works even for
+    // INT_MIN, because abs(INT_MIN) == INT_MIN, and INT_MIN has one bit set
+    // and is a power of 2.
+    uint64_t ud = (uint64_t)d;
+    uint64_t absD = (d < 0) ? -ud : ud;
+    uint32_t floor_log_2_d = 63 - libdivide_count_leading_zeros64(absD);
+    // check if exactly one bit is set,
+    // don't care if absD is 0 since that's divide by zero
+    if ((absD & (absD - 1)) == 0) {
+        // Branchfree and non-branchfree cases are the same
+        result.magic = 0;
+        result.more = floor_log_2_d | (d < 0 ? LIBDIVIDE_NEGATIVE_DIVISOR : 0);
+    } else {
+        // the dividend here is 2**(floor_log_2_d + 63), so the low 64 bit word
+        // is 0 and the high word is floor_log_2_d - 1
+        uint8_t more;
+        uint64_t rem, proposed_m;
+        proposed_m = libdivide_128_div_64_to_64(1ULL << (floor_log_2_d - 1), 0, absD, &rem);
+        const uint64_t e = absD - rem;
+
+        // We are going to start with a power of floor_log_2_d - 1.
+        // This works if works if e < 2**floor_log_2_d.
+        if (!branchfree && e < (1ULL << floor_log_2_d)) {
+            // This power works
+            more = floor_log_2_d - 1;
+        } else {
+            // We need to go one higher. This should not make proposed_m
+            // overflow, but it will make it negative when interpreted as an
+            // int32_t.
+            proposed_m += proposed_m;
+            const uint64_t twice_rem = rem + rem;
+            if (twice_rem >= absD || twice_rem < rem) proposed_m += 1;
+            // note that we only set the LIBDIVIDE_NEGATIVE_DIVISOR bit if we
+            // also set ADD_MARKER this is an annoying optimization that
+            // enables algorithm #4 to avoid the mask. However we always set it
+            // in the branchfree case
+            more = floor_log_2_d | LIBDIVIDE_ADD_MARKER;
+        }
+        proposed_m += 1;
+        int64_t magic = (int64_t)proposed_m;
+
+        // Mark if we are negative
+        if (d < 0) {
+            more |= LIBDIVIDE_NEGATIVE_DIVISOR;
+            if (!branchfree) {
+                magic = -magic;
+            }
+        }
+
+        result.more = more;
+        result.magic = magic;
+    }
+    return result;
+}
+
+struct libdivide_s64_t libdivide_s64_gen(int64_t d) {
+    return libdivide_internal_s64_gen(d, 0);
+}
+
+struct libdivide_s64_branchfree_t libdivide_s64_branchfree_gen(int64_t d) {
+    struct libdivide_s64_t tmp = libdivide_internal_s64_gen(d, 1);
+    struct libdivide_s64_branchfree_t ret = {tmp.magic, tmp.more};
+    return ret;
+}
+
+int64_t libdivide_s64_do(int64_t numer, const struct libdivide_s64_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+
+    if (!denom->magic) { // shift path
+        uint64_t mask = (1ULL << shift) - 1;
+        uint64_t uq = numer + ((numer >> 63) & mask);
+        int64_t q = (int64_t)uq;
+        q >>= shift;
+        // must be arithmetic shift and then sign-extend
+        int64_t sign = (int8_t)more >> 7;
+        q = (q ^ sign) - sign;
+        return q;
+    } else {
+        uint64_t uq = (uint64_t)libdivide_mullhi_s64(denom->magic, numer);
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // must be arithmetic shift and then sign extend
+            int64_t sign = (int8_t)more >> 7;
+            // q += (more < 0 ? -numer : numer)
+            // cast required to avoid UB
+            uq += ((uint64_t)numer ^ sign) - sign;
+        }
+        int64_t q = (int64_t)uq;
+        q >>= shift;
+        q += (q < 0);
+        return q;
+    }
+}
+
+int64_t libdivide_s64_branchfree_do(int64_t numer, const struct libdivide_s64_branchfree_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+    // must be arithmetic shift and then sign extend
+    int64_t sign = (int8_t)more >> 7;
+    int64_t magic = denom->magic;
+    int64_t q = libdivide_mullhi_s64(magic, numer);
+    q += numer;
+
+    // If q is non-negative, we have nothing to do.
+    // If q is negative, we want to add either (2**shift)-1 if d is a power of
+    // 2, or (2**shift) if it is not a power of 2.
+    uint64_t is_power_of_2 = (magic == 0);
+    uint64_t q_sign = (uint64_t)(q >> 63);
+    q += q_sign & ((1ULL << shift) - is_power_of_2);
+
+    // Arithmetic right shift
+    q >>= shift;
+    // Negate if needed
+    q = (q ^ sign) - sign;
+
+    return q;
+}
+
+int64_t libdivide_s64_recover(const struct libdivide_s64_t *denom) {
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+    if (denom->magic == 0) { // shift path
+        uint64_t absD = 1ULL << shift;
+        if (more & LIBDIVIDE_NEGATIVE_DIVISOR) {
+            absD = -absD;
+        }
+        return (int64_t)absD;
+    } else {
+        // Unsigned math is much easier
+        int negative_divisor = (more & LIBDIVIDE_NEGATIVE_DIVISOR);
+        int magic_was_negated = (more & LIBDIVIDE_ADD_MARKER)
+            ? denom->magic > 0 : denom->magic < 0;
+
+        uint64_t d = (uint64_t)(magic_was_negated ? -denom->magic : denom->magic);
+        uint64_t n_hi = 1ULL << shift, n_lo = 0;
+        uint64_t rem_ignored;
+        uint64_t q = libdivide_128_div_64_to_64(n_hi, n_lo, d, &rem_ignored);
+        int64_t result = (int64_t)(q + 1);
+        if (negative_divisor) {
+            result = -result;
+        }
+        return result;
+    }
+}
+
+int64_t libdivide_s64_branchfree_recover(const struct libdivide_s64_branchfree_t *denom) {
+    return libdivide_s64_recover((const struct libdivide_s64_t *)denom);
+}
+
+#if defined(LIBDIVIDE_AVX512)
+
+static inline __m512i libdivide_u32_do_vector(__m512i numers, const struct libdivide_u32_t *denom);
+static inline __m512i libdivide_s32_do_vector(__m512i numers, const struct libdivide_s32_t *denom);
+static inline __m512i libdivide_u64_do_vector(__m512i numers, const struct libdivide_u64_t *denom);
+static inline __m512i libdivide_s64_do_vector(__m512i numers, const struct libdivide_s64_t *denom);
+
+static inline __m512i libdivide_u32_branchfree_do_vector(__m512i numers, const struct libdivide_u32_branchfree_t *denom);
+static inline __m512i libdivide_s32_branchfree_do_vector(__m512i numers, const struct libdivide_s32_branchfree_t *denom);
+static inline __m512i libdivide_u64_branchfree_do_vector(__m512i numers, const struct libdivide_u64_branchfree_t *denom);
+static inline __m512i libdivide_s64_branchfree_do_vector(__m512i numers, const struct libdivide_s64_branchfree_t *denom);
+
+//////// Internal Utility Functions
+
+static inline __m512i libdivide_s64_signbits(__m512i v) {;
+    return _mm512_srai_epi64(v, 63);
+}
+
+static inline __m512i libdivide_s64_shift_right_vector(__m512i v, int amt) {
+    return _mm512_srai_epi64(v, amt);
+}
+
+// Here, b is assumed to contain one 32-bit value repeated.
+static inline __m512i libdivide_mullhi_u32_vector(__m512i a, __m512i b) {
+    __m512i hi_product_0Z2Z = _mm512_srli_epi64(_mm512_mul_epu32(a, b), 32);
+    __m512i a1X3X = _mm512_srli_epi64(a, 32);
+    __m512i mask = _mm512_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0);
+    __m512i hi_product_Z1Z3 = _mm512_and_si512(_mm512_mul_epu32(a1X3X, b), mask);
+    return _mm512_or_si512(hi_product_0Z2Z, hi_product_Z1Z3);
+}
+
+// b is one 32-bit value repeated.
+static inline __m512i libdivide_mullhi_s32_vector(__m512i a, __m512i b) {
+    __m512i hi_product_0Z2Z = _mm512_srli_epi64(_mm512_mul_epi32(a, b), 32);
+    __m512i a1X3X = _mm512_srli_epi64(a, 32);
+    __m512i mask = _mm512_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0);
+    __m512i hi_product_Z1Z3 = _mm512_and_si512(_mm512_mul_epi32(a1X3X, b), mask);
+    return _mm512_or_si512(hi_product_0Z2Z, hi_product_Z1Z3);
+}
+
+// Here, y is assumed to contain one 64-bit value repeated.
+// https://stackoverflow.com/a/28827013
+static inline __m512i libdivide_mullhi_u64_vector(__m512i x, __m512i y) {
+    __m512i lomask = _mm512_set1_epi64(0xffffffff);
+    __m512i xh = _mm512_shuffle_epi32(x, (_MM_PERM_ENUM) 0xB1);
+    __m512i yh = _mm512_shuffle_epi32(y, (_MM_PERM_ENUM) 0xB1);
+    __m512i w0 = _mm512_mul_epu32(x, y);
+    __m512i w1 = _mm512_mul_epu32(x, yh);
+    __m512i w2 = _mm512_mul_epu32(xh, y);
+    __m512i w3 = _mm512_mul_epu32(xh, yh);
+    __m512i w0h = _mm512_srli_epi64(w0, 32);
+    __m512i s1 = _mm512_add_epi64(w1, w0h);
+    __m512i s1l = _mm512_and_si512(s1, lomask);
+    __m512i s1h = _mm512_srli_epi64(s1, 32);
+    __m512i s2 = _mm512_add_epi64(w2, s1l);
+    __m512i s2h = _mm512_srli_epi64(s2, 32);
+    __m512i hi = _mm512_add_epi64(w3, s1h);
+            hi = _mm512_add_epi64(hi, s2h);
+
+    return hi;
+}
+
+// y is one 64-bit value repeated.
+static inline __m512i libdivide_mullhi_s64_vector(__m512i x, __m512i y) {
+    __m512i p = libdivide_mullhi_u64_vector(x, y);
+    __m512i t1 = _mm512_and_si512(libdivide_s64_signbits(x), y);
+    __m512i t2 = _mm512_and_si512(libdivide_s64_signbits(y), x);
+    p = _mm512_sub_epi64(p, t1);
+    p = _mm512_sub_epi64(p, t2);
+    return p;
+}
+
+////////// UINT32
+
+__m512i libdivide_u32_do_vector(__m512i numers, const struct libdivide_u32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return _mm512_srli_epi32(numers, more);
+    }
+    else {
+        __m512i q = libdivide_mullhi_u32_vector(numers, _mm512_set1_epi32(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // uint32_t t = ((numer - q) >> 1) + q;
+            // return t >> denom->shift;
+            uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+            __m512i t = _mm512_add_epi32(_mm512_srli_epi32(_mm512_sub_epi32(numers, q), 1), q);
+            return _mm512_srli_epi32(t, shift);
+        }
+        else {
+            return _mm512_srli_epi32(q, more);
+        }
+    }
+}
+
+__m512i libdivide_u32_branchfree_do_vector(__m512i numers, const struct libdivide_u32_branchfree_t *denom) {
+    __m512i q = libdivide_mullhi_u32_vector(numers, _mm512_set1_epi32(denom->magic));
+    __m512i t = _mm512_add_epi32(_mm512_srli_epi32(_mm512_sub_epi32(numers, q), 1), q);
+    return _mm512_srli_epi32(t, denom->more);
+}
+
+////////// UINT64
+
+__m512i libdivide_u64_do_vector(__m512i numers, const struct libdivide_u64_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return _mm512_srli_epi64(numers, more);
+    }
+    else {
+        __m512i q = libdivide_mullhi_u64_vector(numers, _mm512_set1_epi64(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // uint32_t t = ((numer - q) >> 1) + q;
+            // return t >> denom->shift;
+            uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+            __m512i t = _mm512_add_epi64(_mm512_srli_epi64(_mm512_sub_epi64(numers, q), 1), q);
+            return _mm512_srli_epi64(t, shift);
+        }
+        else {
+            return _mm512_srli_epi64(q, more);
+        }
+    }
+}
+
+__m512i libdivide_u64_branchfree_do_vector(__m512i numers, const struct libdivide_u64_branchfree_t *denom) {
+    __m512i q = libdivide_mullhi_u64_vector(numers, _mm512_set1_epi64(denom->magic));
+    __m512i t = _mm512_add_epi64(_mm512_srli_epi64(_mm512_sub_epi64(numers, q), 1), q);
+    return _mm512_srli_epi64(t, denom->more);
+}
+
+////////// SINT32
+
+__m512i libdivide_s32_do_vector(__m512i numers, const struct libdivide_s32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+        uint32_t mask = (1U << shift) - 1;
+        __m512i roundToZeroTweak = _mm512_set1_epi32(mask);
+        // q = numer + ((numer >> 31) & roundToZeroTweak);
+        __m512i q = _mm512_add_epi32(numers, _mm512_and_si512(_mm512_srai_epi32(numers, 31), roundToZeroTweak));
+        q = _mm512_srai_epi32(q, shift);
+        __m512i sign = _mm512_set1_epi32((int8_t)more >> 7);
+        // q = (q ^ sign) - sign;
+        q = _mm512_sub_epi32(_mm512_xor_si512(q, sign), sign);
+        return q;
+    }
+    else {
+        __m512i q = libdivide_mullhi_s32_vector(numers, _mm512_set1_epi32(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+             // must be arithmetic shift
+            __m512i sign = _mm512_set1_epi32((int8_t)more >> 7);
+             // q += ((numer ^ sign) - sign);
+            q = _mm512_add_epi32(q, _mm512_sub_epi32(_mm512_xor_si512(numers, sign), sign));
+        }
+        // q >>= shift
+        q = _mm512_srai_epi32(q, more & LIBDIVIDE_32_SHIFT_MASK);
+        q = _mm512_add_epi32(q, _mm512_srli_epi32(q, 31)); // q += (q < 0)
+        return q;
+    }
+}
+
+__m512i libdivide_s32_branchfree_do_vector(__m512i numers, const struct libdivide_s32_branchfree_t *denom) {
+    int32_t magic = denom->magic;
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+     // must be arithmetic shift
+    __m512i sign = _mm512_set1_epi32((int8_t)more >> 7);
+    __m512i q = libdivide_mullhi_s32_vector(numers, _mm512_set1_epi32(magic));
+    q = _mm512_add_epi32(q, numers); // q += numers
+
+    // If q is non-negative, we have nothing to do
+    // If q is negative, we want to add either (2**shift)-1 if d is
+    // a power of 2, or (2**shift) if it is not a power of 2
+    uint32_t is_power_of_2 = (magic == 0);
+    __m512i q_sign = _mm512_srai_epi32(q, 31); // q_sign = q >> 31
+    __m512i mask = _mm512_set1_epi32((1U << shift) - is_power_of_2);
+    q = _mm512_add_epi32(q, _mm512_and_si512(q_sign, mask)); // q = q + (q_sign & mask)
+    q = _mm512_srai_epi32(q, shift); // q >>= shift
+    q = _mm512_sub_epi32(_mm512_xor_si512(q, sign), sign); // q = (q ^ sign) - sign
+    return q;
+}
+
+////////// SINT64
+
+__m512i libdivide_s64_do_vector(__m512i numers, const struct libdivide_s64_t *denom) {
+    uint8_t more = denom->more;
+    int64_t magic = denom->magic;
+    if (magic == 0) { // shift path
+        uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+        uint64_t mask = (1ULL << shift) - 1;
+        __m512i roundToZeroTweak = _mm512_set1_epi64(mask);
+        // q = numer + ((numer >> 63) & roundToZeroTweak);
+        __m512i q = _mm512_add_epi64(numers, _mm512_and_si512(libdivide_s64_signbits(numers), roundToZeroTweak));
+        q = libdivide_s64_shift_right_vector(q, shift);
+        __m512i sign = _mm512_set1_epi32((int8_t)more >> 7);
+         // q = (q ^ sign) - sign;
+        q = _mm512_sub_epi64(_mm512_xor_si512(q, sign), sign);
+        return q;
+    }
+    else {
+        __m512i q = libdivide_mullhi_s64_vector(numers, _mm512_set1_epi64(magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // must be arithmetic shift
+            __m512i sign = _mm512_set1_epi32((int8_t)more >> 7);
+            // q += ((numer ^ sign) - sign);
+            q = _mm512_add_epi64(q, _mm512_sub_epi64(_mm512_xor_si512(numers, sign), sign));
+        }
+        // q >>= denom->mult_path.shift
+        q = libdivide_s64_shift_right_vector(q, more & LIBDIVIDE_64_SHIFT_MASK);
+        q = _mm512_add_epi64(q, _mm512_srli_epi64(q, 63)); // q += (q < 0)
+        return q;
+    }
+}
+
+__m512i libdivide_s64_branchfree_do_vector(__m512i numers, const struct libdivide_s64_branchfree_t *denom) {
+    int64_t magic = denom->magic;
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+    // must be arithmetic shift
+    __m512i sign = _mm512_set1_epi32((int8_t)more >> 7);
+
+     // libdivide_mullhi_s64(numers, magic);
+    __m512i q = libdivide_mullhi_s64_vector(numers, _mm512_set1_epi64(magic));
+    q = _mm512_add_epi64(q, numers); // q += numers
+
+    // If q is non-negative, we have nothing to do.
+    // If q is negative, we want to add either (2**shift)-1 if d is
+    // a power of 2, or (2**shift) if it is not a power of 2.
+    uint32_t is_power_of_2 = (magic == 0);
+    __m512i q_sign = libdivide_s64_signbits(q); // q_sign = q >> 63
+    __m512i mask = _mm512_set1_epi64((1ULL << shift) - is_power_of_2);
+    q = _mm512_add_epi64(q, _mm512_and_si512(q_sign, mask)); // q = q + (q_sign & mask)
+    q = libdivide_s64_shift_right_vector(q, shift); // q >>= shift
+    q = _mm512_sub_epi64(_mm512_xor_si512(q, sign), sign); // q = (q ^ sign) - sign
+    return q;
+}
+
+#elif defined(LIBDIVIDE_AVX2)
+
+static inline __m256i libdivide_u32_do_vector(__m256i numers, const struct libdivide_u32_t *denom);
+static inline __m256i libdivide_s32_do_vector(__m256i numers, const struct libdivide_s32_t *denom);
+static inline __m256i libdivide_u64_do_vector(__m256i numers, const struct libdivide_u64_t *denom);
+static inline __m256i libdivide_s64_do_vector(__m256i numers, const struct libdivide_s64_t *denom);
+
+static inline __m256i libdivide_u32_branchfree_do_vector(__m256i numers, const struct libdivide_u32_branchfree_t *denom);
+static inline __m256i libdivide_s32_branchfree_do_vector(__m256i numers, const struct libdivide_s32_branchfree_t *denom);
+static inline __m256i libdivide_u64_branchfree_do_vector(__m256i numers, const struct libdivide_u64_branchfree_t *denom);
+static inline __m256i libdivide_s64_branchfree_do_vector(__m256i numers, const struct libdivide_s64_branchfree_t *denom);
+
+//////// Internal Utility Functions
+
+// Implementation of _mm256_srai_epi64(v, 63) (from AVX512).
+static inline __m256i libdivide_s64_signbits(__m256i v) {
+    __m256i hiBitsDuped = _mm256_shuffle_epi32(v, _MM_SHUFFLE(3, 3, 1, 1));
+    __m256i signBits = _mm256_srai_epi32(hiBitsDuped, 31);
+    return signBits;
+}
+
+// Implementation of _mm256_srai_epi64 (from AVX512).
+static inline __m256i libdivide_s64_shift_right_vector(__m256i v, int amt) {
+    const int b = 64 - amt;
+    __m256i m = _mm256_set1_epi64x(1ULL << (b - 1));
+    __m256i x = _mm256_srli_epi64(v, amt);
+    __m256i result = _mm256_sub_epi64(_mm256_xor_si256(x, m), m);
+    return result;
+}
+
+// Here, b is assumed to contain one 32-bit value repeated.
+static inline __m256i libdivide_mullhi_u32_vector(__m256i a, __m256i b) {
+    __m256i hi_product_0Z2Z = _mm256_srli_epi64(_mm256_mul_epu32(a, b), 32);
+    __m256i a1X3X = _mm256_srli_epi64(a, 32);
+    __m256i mask = _mm256_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0);
+    __m256i hi_product_Z1Z3 = _mm256_and_si256(_mm256_mul_epu32(a1X3X, b), mask);
+    return _mm256_or_si256(hi_product_0Z2Z, hi_product_Z1Z3);
+}
+
+// b is one 32-bit value repeated.
+static inline __m256i libdivide_mullhi_s32_vector(__m256i a, __m256i b) {
+    __m256i hi_product_0Z2Z = _mm256_srli_epi64(_mm256_mul_epi32(a, b), 32);
+    __m256i a1X3X = _mm256_srli_epi64(a, 32);
+    __m256i mask = _mm256_set_epi32(-1, 0, -1, 0, -1, 0, -1, 0);
+    __m256i hi_product_Z1Z3 = _mm256_and_si256(_mm256_mul_epi32(a1X3X, b), mask);
+    return _mm256_or_si256(hi_product_0Z2Z, hi_product_Z1Z3);
+}
+
+// Here, y is assumed to contain one 64-bit value repeated.
+// https://stackoverflow.com/a/28827013
+static inline __m256i libdivide_mullhi_u64_vector(__m256i x, __m256i y) {
+    __m256i lomask = _mm256_set1_epi64x(0xffffffff);
+    __m256i xh = _mm256_shuffle_epi32(x, 0xB1);        // x0l, x0h, x1l, x1h
+    __m256i yh = _mm256_shuffle_epi32(y, 0xB1);        // y0l, y0h, y1l, y1h
+    __m256i w0 = _mm256_mul_epu32(x, y);               // x0l*y0l, x1l*y1l
+    __m256i w1 = _mm256_mul_epu32(x, yh);              // x0l*y0h, x1l*y1h
+    __m256i w2 = _mm256_mul_epu32(xh, y);              // x0h*y0l, x1h*y0l
+    __m256i w3 = _mm256_mul_epu32(xh, yh);             // x0h*y0h, x1h*y1h
+    __m256i w0h = _mm256_srli_epi64(w0, 32);
+    __m256i s1 = _mm256_add_epi64(w1, w0h);
+    __m256i s1l = _mm256_and_si256(s1, lomask);
+    __m256i s1h = _mm256_srli_epi64(s1, 32);
+    __m256i s2 = _mm256_add_epi64(w2, s1l);
+    __m256i s2h = _mm256_srli_epi64(s2, 32);
+    __m256i hi = _mm256_add_epi64(w3, s1h);
+            hi = _mm256_add_epi64(hi, s2h);
+
+    return hi;
+}
+
+// y is one 64-bit value repeated.
+static inline __m256i libdivide_mullhi_s64_vector(__m256i x, __m256i y) {
+    __m256i p = libdivide_mullhi_u64_vector(x, y);
+    __m256i t1 = _mm256_and_si256(libdivide_s64_signbits(x), y);
+    __m256i t2 = _mm256_and_si256(libdivide_s64_signbits(y), x);
+    p = _mm256_sub_epi64(p, t1);
+    p = _mm256_sub_epi64(p, t2);
+    return p;
+}
+
+////////// UINT32
+
+__m256i libdivide_u32_do_vector(__m256i numers, const struct libdivide_u32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return _mm256_srli_epi32(numers, more);
+    }
+    else {
+        __m256i q = libdivide_mullhi_u32_vector(numers, _mm256_set1_epi32(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // uint32_t t = ((numer - q) >> 1) + q;
+            // return t >> denom->shift;
+            uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+            __m256i t = _mm256_add_epi32(_mm256_srli_epi32(_mm256_sub_epi32(numers, q), 1), q);
+            return _mm256_srli_epi32(t, shift);
+        }
+        else {
+            return _mm256_srli_epi32(q, more);
+        }
+    }
+}
+
+__m256i libdivide_u32_branchfree_do_vector(__m256i numers, const struct libdivide_u32_branchfree_t *denom) {
+    __m256i q = libdivide_mullhi_u32_vector(numers, _mm256_set1_epi32(denom->magic));
+    __m256i t = _mm256_add_epi32(_mm256_srli_epi32(_mm256_sub_epi32(numers, q), 1), q);
+    return _mm256_srli_epi32(t, denom->more);
+}
+
+////////// UINT64
+
+__m256i libdivide_u64_do_vector(__m256i numers, const struct libdivide_u64_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return _mm256_srli_epi64(numers, more);
+    }
+    else {
+        __m256i q = libdivide_mullhi_u64_vector(numers, _mm256_set1_epi64x(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // uint32_t t = ((numer - q) >> 1) + q;
+            // return t >> denom->shift;
+            uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+            __m256i t = _mm256_add_epi64(_mm256_srli_epi64(_mm256_sub_epi64(numers, q), 1), q);
+            return _mm256_srli_epi64(t, shift);
+        }
+        else {
+            return _mm256_srli_epi64(q, more);
+        }
+    }
+}
+
+__m256i libdivide_u64_branchfree_do_vector(__m256i numers, const struct libdivide_u64_branchfree_t *denom) {
+    __m256i q = libdivide_mullhi_u64_vector(numers, _mm256_set1_epi64x(denom->magic));
+    __m256i t = _mm256_add_epi64(_mm256_srli_epi64(_mm256_sub_epi64(numers, q), 1), q);
+    return _mm256_srli_epi64(t, denom->more);
+}
+
+////////// SINT32
+
+__m256i libdivide_s32_do_vector(__m256i numers, const struct libdivide_s32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+        uint32_t mask = (1U << shift) - 1;
+        __m256i roundToZeroTweak = _mm256_set1_epi32(mask);
+        // q = numer + ((numer >> 31) & roundToZeroTweak);
+        __m256i q = _mm256_add_epi32(numers, _mm256_and_si256(_mm256_srai_epi32(numers, 31), roundToZeroTweak));
+        q = _mm256_srai_epi32(q, shift);
+        __m256i sign = _mm256_set1_epi32((int8_t)more >> 7);
+        // q = (q ^ sign) - sign;
+        q = _mm256_sub_epi32(_mm256_xor_si256(q, sign), sign);
+        return q;
+    }
+    else {
+        __m256i q = libdivide_mullhi_s32_vector(numers, _mm256_set1_epi32(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+             // must be arithmetic shift
+            __m256i sign = _mm256_set1_epi32((int8_t)more >> 7);
+             // q += ((numer ^ sign) - sign);
+            q = _mm256_add_epi32(q, _mm256_sub_epi32(_mm256_xor_si256(numers, sign), sign));
+        }
+        // q >>= shift
+        q = _mm256_srai_epi32(q, more & LIBDIVIDE_32_SHIFT_MASK);
+        q = _mm256_add_epi32(q, _mm256_srli_epi32(q, 31)); // q += (q < 0)
+        return q;
+    }
+}
+
+__m256i libdivide_s32_branchfree_do_vector(__m256i numers, const struct libdivide_s32_branchfree_t *denom) {
+    int32_t magic = denom->magic;
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+     // must be arithmetic shift
+    __m256i sign = _mm256_set1_epi32((int8_t)more >> 7);
+    __m256i q = libdivide_mullhi_s32_vector(numers, _mm256_set1_epi32(magic));
+    q = _mm256_add_epi32(q, numers); // q += numers
+
+    // If q is non-negative, we have nothing to do
+    // If q is negative, we want to add either (2**shift)-1 if d is
+    // a power of 2, or (2**shift) if it is not a power of 2
+    uint32_t is_power_of_2 = (magic == 0);
+    __m256i q_sign = _mm256_srai_epi32(q, 31); // q_sign = q >> 31
+    __m256i mask = _mm256_set1_epi32((1U << shift) - is_power_of_2);
+    q = _mm256_add_epi32(q, _mm256_and_si256(q_sign, mask)); // q = q + (q_sign & mask)
+    q = _mm256_srai_epi32(q, shift); // q >>= shift
+    q = _mm256_sub_epi32(_mm256_xor_si256(q, sign), sign); // q = (q ^ sign) - sign
+    return q;
+}
+
+////////// SINT64
+
+__m256i libdivide_s64_do_vector(__m256i numers, const struct libdivide_s64_t *denom) {
+    uint8_t more = denom->more;
+    int64_t magic = denom->magic;
+    if (magic == 0) { // shift path
+        uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+        uint64_t mask = (1ULL << shift) - 1;
+        __m256i roundToZeroTweak = _mm256_set1_epi64x(mask);
+        // q = numer + ((numer >> 63) & roundToZeroTweak);
+        __m256i q = _mm256_add_epi64(numers, _mm256_and_si256(libdivide_s64_signbits(numers), roundToZeroTweak));
+        q = libdivide_s64_shift_right_vector(q, shift);
+        __m256i sign = _mm256_set1_epi32((int8_t)more >> 7);
+         // q = (q ^ sign) - sign;
+        q = _mm256_sub_epi64(_mm256_xor_si256(q, sign), sign);
+        return q;
+    }
+    else {
+        __m256i q = libdivide_mullhi_s64_vector(numers, _mm256_set1_epi64x(magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // must be arithmetic shift
+            __m256i sign = _mm256_set1_epi32((int8_t)more >> 7);
+            // q += ((numer ^ sign) - sign);
+            q = _mm256_add_epi64(q, _mm256_sub_epi64(_mm256_xor_si256(numers, sign), sign));
+        }
+        // q >>= denom->mult_path.shift
+        q = libdivide_s64_shift_right_vector(q, more & LIBDIVIDE_64_SHIFT_MASK);
+        q = _mm256_add_epi64(q, _mm256_srli_epi64(q, 63)); // q += (q < 0)
+        return q;
+    }
+}
+
+__m256i libdivide_s64_branchfree_do_vector(__m256i numers, const struct libdivide_s64_branchfree_t *denom) {
+    int64_t magic = denom->magic;
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+    // must be arithmetic shift
+    __m256i sign = _mm256_set1_epi32((int8_t)more >> 7);
+
+     // libdivide_mullhi_s64(numers, magic);
+    __m256i q = libdivide_mullhi_s64_vector(numers, _mm256_set1_epi64x(magic));
+    q = _mm256_add_epi64(q, numers); // q += numers
+
+    // If q is non-negative, we have nothing to do.
+    // If q is negative, we want to add either (2**shift)-1 if d is
+    // a power of 2, or (2**shift) if it is not a power of 2.
+    uint32_t is_power_of_2 = (magic == 0);
+    __m256i q_sign = libdivide_s64_signbits(q); // q_sign = q >> 63
+    __m256i mask = _mm256_set1_epi64x((1ULL << shift) - is_power_of_2);
+    q = _mm256_add_epi64(q, _mm256_and_si256(q_sign, mask)); // q = q + (q_sign & mask)
+    q = libdivide_s64_shift_right_vector(q, shift); // q >>= shift
+    q = _mm256_sub_epi64(_mm256_xor_si256(q, sign), sign); // q = (q ^ sign) - sign
+    return q;
+}
+
+#elif defined(LIBDIVIDE_SSE2)
+
+static inline __m128i libdivide_u32_do_vector(__m128i numers, const struct libdivide_u32_t *denom);
+static inline __m128i libdivide_s32_do_vector(__m128i numers, const struct libdivide_s32_t *denom);
+static inline __m128i libdivide_u64_do_vector(__m128i numers, const struct libdivide_u64_t *denom);
+static inline __m128i libdivide_s64_do_vector(__m128i numers, const struct libdivide_s64_t *denom);
+
+static inline __m128i libdivide_u32_branchfree_do_vector(__m128i numers, const struct libdivide_u32_branchfree_t *denom);
+static inline __m128i libdivide_s32_branchfree_do_vector(__m128i numers, const struct libdivide_s32_branchfree_t *denom);
+static inline __m128i libdivide_u64_branchfree_do_vector(__m128i numers, const struct libdivide_u64_branchfree_t *denom);
+static inline __m128i libdivide_s64_branchfree_do_vector(__m128i numers, const struct libdivide_s64_branchfree_t *denom);
+
+//////// Internal Utility Functions
+
+// Implementation of _mm_srai_epi64(v, 63) (from AVX512).
+static inline __m128i libdivide_s64_signbits(__m128i v) {
+    __m128i hiBitsDuped = _mm_shuffle_epi32(v, _MM_SHUFFLE(3, 3, 1, 1));
+    __m128i signBits = _mm_srai_epi32(hiBitsDuped, 31);
+    return signBits;
+}
+
+// Implementation of _mm_srai_epi64 (from AVX512).
+static inline __m128i libdivide_s64_shift_right_vector(__m128i v, int amt) {
+    const int b = 64 - amt;
+    __m128i m = _mm_set1_epi64x(1ULL << (b - 1));
+    __m128i x = _mm_srli_epi64(v, amt);
+    __m128i result = _mm_sub_epi64(_mm_xor_si128(x, m), m);
+    return result;
+}
+
+// Here, b is assumed to contain one 32-bit value repeated.
+static inline __m128i libdivide_mullhi_u32_vector(__m128i a, __m128i b) {
+    __m128i hi_product_0Z2Z = _mm_srli_epi64(_mm_mul_epu32(a, b), 32);
+    __m128i a1X3X = _mm_srli_epi64(a, 32);
+    __m128i mask = _mm_set_epi32(-1, 0, -1, 0);
+    __m128i hi_product_Z1Z3 = _mm_and_si128(_mm_mul_epu32(a1X3X, b), mask);
+    return _mm_or_si128(hi_product_0Z2Z, hi_product_Z1Z3);
+}
+
+// SSE2 does not have a signed multiplication instruction, but we can convert
+// unsigned to signed pretty efficiently. Again, b is just a 32 bit value
+// repeated four times.
+static inline __m128i libdivide_mullhi_s32_vector(__m128i a, __m128i b) {
+    __m128i p = libdivide_mullhi_u32_vector(a, b);
+    // t1 = (a >> 31) & y, arithmetic shift
+    __m128i t1 = _mm_and_si128(_mm_srai_epi32(a, 31), b);
+    __m128i t2 = _mm_and_si128(_mm_srai_epi32(b, 31), a);
+    p = _mm_sub_epi32(p, t1);
+    p = _mm_sub_epi32(p, t2);
+    return p;
+}
+
+// Here, y is assumed to contain one 64-bit value repeated.
+// https://stackoverflow.com/a/28827013
+static inline __m128i libdivide_mullhi_u64_vector(__m128i x, __m128i y) {
+    __m128i lomask = _mm_set1_epi64x(0xffffffff);
+    __m128i xh = _mm_shuffle_epi32(x, 0xB1);        // x0l, x0h, x1l, x1h
+    __m128i yh = _mm_shuffle_epi32(y, 0xB1);        // y0l, y0h, y1l, y1h
+    __m128i w0 = _mm_mul_epu32(x, y);               // x0l*y0l, x1l*y1l
+    __m128i w1 = _mm_mul_epu32(x, yh);              // x0l*y0h, x1l*y1h
+    __m128i w2 = _mm_mul_epu32(xh, y);              // x0h*y0l, x1h*y0l
+    __m128i w3 = _mm_mul_epu32(xh, yh);             // x0h*y0h, x1h*y1h
+    __m128i w0h = _mm_srli_epi64(w0, 32);
+    __m128i s1 = _mm_add_epi64(w1, w0h);
+    __m128i s1l = _mm_and_si128(s1, lomask);
+    __m128i s1h = _mm_srli_epi64(s1, 32);
+    __m128i s2 = _mm_add_epi64(w2, s1l);
+    __m128i s2h = _mm_srli_epi64(s2, 32);
+    __m128i hi = _mm_add_epi64(w3, s1h);
+            hi = _mm_add_epi64(hi, s2h);
+
+    return hi;
+}
+
+// y is one 64-bit value repeated.
+static inline __m128i libdivide_mullhi_s64_vector(__m128i x, __m128i y) {
+    __m128i p = libdivide_mullhi_u64_vector(x, y);
+    __m128i t1 = _mm_and_si128(libdivide_s64_signbits(x), y);
+    __m128i t2 = _mm_and_si128(libdivide_s64_signbits(y), x);
+    p = _mm_sub_epi64(p, t1);
+    p = _mm_sub_epi64(p, t2);
+    return p;
+}
+
+////////// UINT32
+
+__m128i libdivide_u32_do_vector(__m128i numers, const struct libdivide_u32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return _mm_srli_epi32(numers, more);
+    }
+    else {
+        __m128i q = libdivide_mullhi_u32_vector(numers, _mm_set1_epi32(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // uint32_t t = ((numer - q) >> 1) + q;
+            // return t >> denom->shift;
+            uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+            __m128i t = _mm_add_epi32(_mm_srli_epi32(_mm_sub_epi32(numers, q), 1), q);
+            return _mm_srli_epi32(t, shift);
+        }
+        else {
+            return _mm_srli_epi32(q, more);
+        }
+    }
+}
+
+__m128i libdivide_u32_branchfree_do_vector(__m128i numers, const struct libdivide_u32_branchfree_t *denom) {
+    __m128i q = libdivide_mullhi_u32_vector(numers, _mm_set1_epi32(denom->magic));
+    __m128i t = _mm_add_epi32(_mm_srli_epi32(_mm_sub_epi32(numers, q), 1), q);
+    return _mm_srli_epi32(t, denom->more);
+}
+
+////////// UINT64
+
+__m128i libdivide_u64_do_vector(__m128i numers, const struct libdivide_u64_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        return _mm_srli_epi64(numers, more);
+    }
+    else {
+        __m128i q = libdivide_mullhi_u64_vector(numers, _mm_set1_epi64x(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // uint32_t t = ((numer - q) >> 1) + q;
+            // return t >> denom->shift;
+            uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+            __m128i t = _mm_add_epi64(_mm_srli_epi64(_mm_sub_epi64(numers, q), 1), q);
+            return _mm_srli_epi64(t, shift);
+        }
+        else {
+            return _mm_srli_epi64(q, more);
+        }
+    }
+}
+
+__m128i libdivide_u64_branchfree_do_vector(__m128i numers, const struct libdivide_u64_branchfree_t *denom) {
+    __m128i q = libdivide_mullhi_u64_vector(numers, _mm_set1_epi64x(denom->magic));
+    __m128i t = _mm_add_epi64(_mm_srli_epi64(_mm_sub_epi64(numers, q), 1), q);
+    return _mm_srli_epi64(t, denom->more);
+}
+
+////////// SINT32
+
+__m128i libdivide_s32_do_vector(__m128i numers, const struct libdivide_s32_t *denom) {
+    uint8_t more = denom->more;
+    if (!denom->magic) {
+        uint32_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+        uint32_t mask = (1U << shift) - 1;
+        __m128i roundToZeroTweak = _mm_set1_epi32(mask);
+        // q = numer + ((numer >> 31) & roundToZeroTweak);
+        __m128i q = _mm_add_epi32(numers, _mm_and_si128(_mm_srai_epi32(numers, 31), roundToZeroTweak));
+        q = _mm_srai_epi32(q, shift);
+        __m128i sign = _mm_set1_epi32((int8_t)more >> 7);
+        // q = (q ^ sign) - sign;
+        q = _mm_sub_epi32(_mm_xor_si128(q, sign), sign);
+        return q;
+    }
+    else {
+        __m128i q = libdivide_mullhi_s32_vector(numers, _mm_set1_epi32(denom->magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+             // must be arithmetic shift
+            __m128i sign = _mm_set1_epi32((int8_t)more >> 7);
+             // q += ((numer ^ sign) - sign);
+            q = _mm_add_epi32(q, _mm_sub_epi32(_mm_xor_si128(numers, sign), sign));
+        }
+        // q >>= shift
+        q = _mm_srai_epi32(q, more & LIBDIVIDE_32_SHIFT_MASK);
+        q = _mm_add_epi32(q, _mm_srli_epi32(q, 31)); // q += (q < 0)
+        return q;
+    }
+}
+
+__m128i libdivide_s32_branchfree_do_vector(__m128i numers, const struct libdivide_s32_branchfree_t *denom) {
+    int32_t magic = denom->magic;
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_32_SHIFT_MASK;
+     // must be arithmetic shift
+    __m128i sign = _mm_set1_epi32((int8_t)more >> 7);
+    __m128i q = libdivide_mullhi_s32_vector(numers, _mm_set1_epi32(magic));
+    q = _mm_add_epi32(q, numers); // q += numers
+
+    // If q is non-negative, we have nothing to do
+    // If q is negative, we want to add either (2**shift)-1 if d is
+    // a power of 2, or (2**shift) if it is not a power of 2
+    uint32_t is_power_of_2 = (magic == 0);
+    __m128i q_sign = _mm_srai_epi32(q, 31); // q_sign = q >> 31
+    __m128i mask = _mm_set1_epi32((1U << shift) - is_power_of_2);
+    q = _mm_add_epi32(q, _mm_and_si128(q_sign, mask)); // q = q + (q_sign & mask)
+    q = _mm_srai_epi32(q, shift); // q >>= shift
+    q = _mm_sub_epi32(_mm_xor_si128(q, sign), sign); // q = (q ^ sign) - sign
+    return q;
+}
+
+////////// SINT64
+
+__m128i libdivide_s64_do_vector(__m128i numers, const struct libdivide_s64_t *denom) {
+    uint8_t more = denom->more;
+    int64_t magic = denom->magic;
+    if (magic == 0) { // shift path
+        uint32_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+        uint64_t mask = (1ULL << shift) - 1;
+        __m128i roundToZeroTweak = _mm_set1_epi64x(mask);
+        // q = numer + ((numer >> 63) & roundToZeroTweak);
+        __m128i q = _mm_add_epi64(numers, _mm_and_si128(libdivide_s64_signbits(numers), roundToZeroTweak));
+        q = libdivide_s64_shift_right_vector(q, shift);
+        __m128i sign = _mm_set1_epi32((int8_t)more >> 7);
+         // q = (q ^ sign) - sign;
+        q = _mm_sub_epi64(_mm_xor_si128(q, sign), sign);
+        return q;
+    }
+    else {
+        __m128i q = libdivide_mullhi_s64_vector(numers, _mm_set1_epi64x(magic));
+        if (more & LIBDIVIDE_ADD_MARKER) {
+            // must be arithmetic shift
+            __m128i sign = _mm_set1_epi32((int8_t)more >> 7);
+            // q += ((numer ^ sign) - sign);
+            q = _mm_add_epi64(q, _mm_sub_epi64(_mm_xor_si128(numers, sign), sign));
+        }
+        // q >>= denom->mult_path.shift
+        q = libdivide_s64_shift_right_vector(q, more & LIBDIVIDE_64_SHIFT_MASK);
+        q = _mm_add_epi64(q, _mm_srli_epi64(q, 63)); // q += (q < 0)
+        return q;
+    }
+}
+
+__m128i libdivide_s64_branchfree_do_vector(__m128i numers, const struct libdivide_s64_branchfree_t *denom) {
+    int64_t magic = denom->magic;
+    uint8_t more = denom->more;
+    uint8_t shift = more & LIBDIVIDE_64_SHIFT_MASK;
+    // must be arithmetic shift
+    __m128i sign = _mm_set1_epi32((int8_t)more >> 7);
+
+     // libdivide_mullhi_s64(numers, magic);
+    __m128i q = libdivide_mullhi_s64_vector(numers, _mm_set1_epi64x(magic));
+    q = _mm_add_epi64(q, numers); // q += numers
+
+    // If q is non-negative, we have nothing to do.
+    // If q is negative, we want to add either (2**shift)-1 if d is
+    // a power of 2, or (2**shift) if it is not a power of 2.
+    uint32_t is_power_of_2 = (magic == 0);
+    __m128i q_sign = libdivide_s64_signbits(q); // q_sign = q >> 63
+    __m128i mask = _mm_set1_epi64x((1ULL << shift) - is_power_of_2);
+    q = _mm_add_epi64(q, _mm_and_si128(q_sign, mask)); // q = q + (q_sign & mask)
+    q = libdivide_s64_shift_right_vector(q, shift); // q >>= shift
+    q = _mm_sub_epi64(_mm_xor_si128(q, sign), sign); // q = (q ^ sign) - sign
+    return q;
+}
+
+#endif
+
+/////////// C++ stuff
+
+#ifdef __cplusplus
+
+// The C++ divider class is templated on both an integer type
+// (like uint64_t) and an algorithm type.
+// * BRANCHFULL is the default algorithm type.
+// * BRANCHFREE is the branchfree algorithm type.
+enum {
+    BRANCHFULL,
+    BRANCHFREE
+};
+
+#if defined(LIBDIVIDE_AVX512)
+    #define LIBDIVIDE_VECTOR_TYPE __m512i
+#elif defined(LIBDIVIDE_AVX2)
+    #define LIBDIVIDE_VECTOR_TYPE __m256i
+#elif defined(LIBDIVIDE_SSE2)
+    #define LIBDIVIDE_VECTOR_TYPE __m128i
+#endif
+
+#if !defined(LIBDIVIDE_VECTOR_TYPE)
+    #define LIBDIVIDE_DIVIDE_VECTOR(ALGO)
+#else
+    #define LIBDIVIDE_DIVIDE_VECTOR(ALGO) \
+        LIBDIVIDE_VECTOR_TYPE divide(LIBDIVIDE_VECTOR_TYPE n) const { \
+            return libdivide_##ALGO##_do_vector(n, &denom); \
+        }
+#endif
+
+// The DISPATCHER_GEN() macro generates C++ methods (for the given integer
+// and algorithm types) that redirect to libdivide's C API.
+#define DISPATCHER_GEN(T, ALGO) \
+    libdivide_##ALGO##_t denom; \
+    dispatcher() { } \
+    dispatcher(T d) \
+        : denom(libdivide_##ALGO##_gen(d)) \
+    { } \
+    T divide(T n) const { \
+        return libdivide_##ALGO##_do(n, &denom); \
+    } \
+    LIBDIVIDE_DIVIDE_VECTOR(ALGO) \
+    T recover() const { \
+        return libdivide_##ALGO##_recover(&denom); \
+    }
+
+// The dispatcher selects a specific division algorithm for a given
+// type and ALGO using partial template specialization.
+template<bool IS_INTEGRAL, bool IS_SIGNED, int SIZEOF, int ALGO> struct dispatcher { };
+
+template<> struct dispatcher<true, true, sizeof(int32_t), BRANCHFULL> { DISPATCHER_GEN(int32_t, s32) };
+template<> struct dispatcher<true, true, sizeof(int32_t), BRANCHFREE> { DISPATCHER_GEN(int32_t, s32_branchfree) };
+template<> struct dispatcher<true, false, sizeof(uint32_t), BRANCHFULL> { DISPATCHER_GEN(uint32_t, u32) };
+template<> struct dispatcher<true, false, sizeof(uint32_t), BRANCHFREE> { DISPATCHER_GEN(uint32_t, u32_branchfree) };
+template<> struct dispatcher<true, true, sizeof(int64_t), BRANCHFULL> { DISPATCHER_GEN(int64_t, s64) };
+template<> struct dispatcher<true, true, sizeof(int64_t), BRANCHFREE> { DISPATCHER_GEN(int64_t, s64_branchfree) };
+template<> struct dispatcher<true, false, sizeof(uint64_t), BRANCHFULL> { DISPATCHER_GEN(uint64_t, u64) };
+template<> struct dispatcher<true, false, sizeof(uint64_t), BRANCHFREE> { DISPATCHER_GEN(uint64_t, u64_branchfree) };
+
+// This is the main divider class for use by the user (C++ API).
+// The actual division algorithm is selected using the dispatcher struct
+// based on the integer and algorithm template parameters.
+template<typename T, int ALGO = BRANCHFULL>
+class divider {
+public:
+    // We leave the default constructor empty so that creating
+    // an array of dividers and then initializing them
+    // later doesn't slow us down.
+    divider() { }
+
+    // Constructor that takes the divisor as a parameter
+    divider(T d) : div(d) { }
+
+    // Divides n by the divisor
+    T divide(T n) const {
+        return div.divide(n);
+    }
+
+    // Recovers the divisor, returns the value that was
+    // used to initialize this divider object.
+    T recover() const {
+        return div.recover();
+    }
+
+    bool operator==(const divider<T, ALGO>& other) const {
+        return div.denom.magic == other.denom.magic &&
+               div.denom.more == other.denom.more;
+    }
+
+    bool operator!=(const divider<T, ALGO>& other) const {
+        return !(*this == other);
+    }
+
+#if defined(LIBDIVIDE_VECTOR_TYPE)
+    // Treats the vector as packed integer values with the same type as
+    // the divider (e.g. s32, u32, s64, u64) and divides each of
+    // them by the divider, returning the packed quotients.
+    LIBDIVIDE_VECTOR_TYPE divide(LIBDIVIDE_VECTOR_TYPE n) const {
+        return div.divide(n);
+    }
+#endif
+
+private:
+    // Storage for the actual divisor
+    dispatcher<std::is_integral<T>::value,
+               std::is_signed<T>::value, sizeof(T), ALGO> div;
+};
+
+// Overload of operator / for scalar division
+template<typename T, int ALGO>
+T operator/(T n, const divider<T, ALGO>& div) {
+    return div.divide(n);
+}
+
+// Overload of operator /= for scalar division
+template<typename T, int ALGO>
+T& operator/=(T& n, const divider<T, ALGO>& div) {
+    n = div.divide(n);
+    return n;
+}
+
+#if defined(LIBDIVIDE_VECTOR_TYPE)
+    // Overload of operator / for vector division
+    template<typename T, int ALGO>
+    LIBDIVIDE_VECTOR_TYPE operator/(LIBDIVIDE_VECTOR_TYPE n, const divider<T, ALGO>& div) {
+        return div.divide(n);
+    }
+    // Overload of operator /= for vector division
+    template<typename T, int ALGO>
+    LIBDIVIDE_VECTOR_TYPE& operator/=(LIBDIVIDE_VECTOR_TYPE& n, const divider<T, ALGO>& div) {
+        n = div.divide(n);
+        return n;
+    }
+#endif
+
+// libdivdie::branchfree_divider<T>
+template <typename T>
+using branchfree_divider = divider<T, BRANCHFREE>;
+
+}  // namespace libdivide
+
+#endif  // __cplusplus
+
+#endif  // NUMPY_CORE_INCLUDE_NUMPY_LIBDIVIDE_LIBDIVIDE_H_

evalkit_tf437/lib/python3.10/site-packages/numpy/core/lib/npy-pkg-config/npymath.ini

@@ -0,0 +1,20 @@
+[meta]
+Name=npymath
+Description=Portable, core math library implementing C99 standard
+Version=0.1
+
+[variables]
+pkgname=numpy.core
+prefix=${pkgdir}
+libdir=${prefix}/lib
+includedir=${prefix}/include
+
+[default]
+Libs=-L${libdir} -lnpymath
+Cflags=-I${includedir}
+Requires=mlib
+
+[msvc]
+Libs=/LIBPATH:${libdir} npymath.lib
+Cflags=/INCLUDE:${includedir}
+Requires=mlib

evalkit_tf437/lib/python3.10/site-packages/numpy/core/tests/data/astype_copy.pkl

@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:9564b309cbf3441ff0a6e4468fddaca46230fab34f15c77d87025a455bdf59d9
+size 716

evalkit_tf437/lib/python3.10/site-packages/numpy/core/tests/data/umath-validation-set-log1p.csv

@@ -0,0 +1,1429 @@
+dtype,input,output,ulperrortol
+np.float32,0x3e10aca8,0x3e075347,2
+np.float32,0x3f776e66,0x3f2d2003,2
+np.float32,0xbf34e8ce,0xbf9cfd5c,2
+np.float32,0xbf0260ee,0xbf363f69,2
+np.float32,0x3ed285e8,0x3eb05870,2
+np.float32,0x262b88,0x262b88,2
+np.float32,0x3eeffd6c,0x3ec4cfdb,2
+np.float32,0x3ee86808,0x3ebf9f54,2
+np.float32,0x3f36eba8,0x3f0a0524,2
+np.float32,0xbf1c047a,0xbf70afc7,2
+np.float32,0x3ead2916,0x3e952902,2
+np.float32,0x61c9c9,0x61c9c9,2
+np.float32,0xff7fffff,0xffc00000,2
+np.float32,0x7f64ee52,0x42b138e0,2
+np.float32,0x7ed00b1e,0x42afa4ff,2
+np.float32,0x3db53340,0x3dada0b2,2
+np.float32,0x3e6b0a4a,0x3e5397a4,2
+np.float32,0x7ed5d64f,0x42afb310,2
+np.float32,0xbf12bc5f,0xbf59f5ee,2
+np.float32,0xbda12710,0xbda7d8b5,2
+np.float32,0xbe2e89d8,0xbe3f5a9f,2
+np.float32,0x3f5bee75,0x3f1ebea4,2
+np.float32,0x9317a,0x9317a,2
+np.float32,0x7ee00130,0x42afcad8,2
+np.float32,0x7ef0d16d,0x42afefe7,2
+np.float32,0xbec7463a,0xbefc6a44,2
+np.float32,0xbf760ecc,0xc04fe59c,2
+np.float32,0xbecacb3c,0xbf011ae3,2
+np.float32,0x3ead92be,0x3e9577f0,2
+np.float32,0xbf41510d,0xbfb41b3a,2
+np.float32,0x7f71d489,0x42b154f1,2
+np.float32,0x8023bcd5,0x8023bcd5,2
+np.float32,0x801d33d8,0x801d33d8,2
+np.float32,0x3f3f545d,0x3f0ee0d4,2
+np.float32,0xbf700682,0xc0318c25,2
+np.float32,0xbe54e990,0xbe6eb0a3,2
+np.float32,0x7f0289bf,0x42b01941,2
+np.float32,0xbd61ac90,0xbd682113,2
+np.float32,0xbf2ff310,0xbf94cd6f,2
+np.float32,0x7f10064a,0x42b04b98,2
+np.float32,0x804d0d6d,0x804d0d6d,2
+np.float32,0x80317b0a,0x80317b0a,2
+np.float32,0xbddfef18,0xbded2640,2
+np.float32,0x3f00c9ab,0x3ed0a5bd,2
+np.float32,0x7f04b905,0x42b021c1,2
+np.float32,0x7fc00000,0x7fc00000,2
+np.float32,0x6524c4,0x6524c4,2
+np.float32,0x3da08ae0,0x3d9a8f88,2
+np.float32,0x293ea9,0x293ea9,2
+np.float32,0x71499e,0x71499e,2
+np.float32,0xbf14f54d,0xbf5f38a5,2
+np.float32,0x806e60f5,0x806e60f5,2
+np.float32,0x3f5f34bb,0x3f207fff,2
+np.float32,0x80513427,0x80513427,2
+np.float32,0x7f379670,0x42b0c7dc,2
+np.float32,0x3efba888,0x3eccb20b,2
+np.float32,0x3eeadd1b,0x3ec14f4b,2
+np.float32,0x7ec5a27f,0x42af8ab8,2
+np.float32,0x3f2afe4e,0x3f02f7a2,2
+np.float32,0x5591c8,0x5591c8,2
+np.float32,0x3dbb7240,0x3db35bab,2
+np.float32,0x805b911b,0x805b911b,2
+np.float32,0x800000,0x800000,2
+np.float32,0x7e784c04,0x42ae9cab,2
+np.float32,0x7ebaae14,0x42af6d86,2
+np.float32,0xbec84f7a,0xbefe1d42,2
+np.float32,0x7cea8281,0x42aa56bf,2
+np.float32,0xbf542cf6,0xbfe1eb1b,2
+np.float32,0xbf6bfb13,0xc0231a5b,2
+np.float32,0x7d6eeaef,0x42abc32c,2
+np.float32,0xbf062f6b,0xbf3e2000,2
+np.float32,0x8073d8e9,0x8073d8e9,2
+np.float32,0xbea4db14,0xbec6f485,2
+np.float32,0x7d7e8d62,0x42abe3a0,2
+np.float32,0x7e8fc34e,0x42aee7c6,2
+np.float32,0x7dcbb0c3,0x42acd464,2
+np.float32,0x7e123c,0x7e123c,2
+np.float32,0x3d77af62,0x3d707c34,2
+np.float32,0x498cc8,0x498cc8,2
+np.float32,0x7f4e2206,0x42b1032a,2
+np.float32,0x3f734e0a,0x3f2b04a1,2
+np.float32,0x8053a9d0,0x8053a9d0,2
+np.float32,0xbe8a67e0,0xbea15be9,2
+np.float32,0xbf78e0ea,0xc065409e,2
+np.float32,0x352bdd,0x352bdd,2
+np.float32,0x3ee42be7,0x3ebcb38a,2
+np.float32,0x7f482d10,0x42b0f427,2
+np.float32,0xbf23155e,0xbf81b993,2
+np.float32,0x594920,0x594920,2
+np.float32,0x63f53f,0x63f53f,2
+np.float32,0x363592,0x363592,2
+np.float32,0x7dafbb78,0x42ac88cc,2
+np.float32,0x7f69516c,0x42b14298,2
+np.float32,0x3e1d5be2,0x3e126131,2
+np.float32,0x410c23,0x410c23,2
+np.float32,0x7ec9563c,0x42af9439,2
+np.float32,0xbedd3a0e,0xbf10d705,2
+np.float32,0x7f7c4f1f,0x42b16aa8,2
+np.float32,0xbe99b34e,0xbeb6c2d3,2
+np.float32,0x6cdc84,0x6cdc84,2
+np.float32,0x5b3bbe,0x5b3bbe,2
+np.float32,0x252178,0x252178,2
+np.float32,0x7d531865,0x42ab83c8,2
+np.float32,0xbf565b44,0xbfe873bf,2
+np.float32,0x5977ce,0x5977ce,2
+np.float32,0x588a58,0x588a58,2
+np.float32,0x3eae7054,0x3e961d51,2
+np.float32,0x725049,0x725049,2
+np.float32,0x7f2b9386,0x42b0a538,2
+np.float32,0xbe674714,0xbe831245,2
+np.float32,0x8044f0d8,0x8044f0d8,2
+np.float32,0x800a3c21,0x800a3c21,2
+np.float32,0x807b275b,0x807b275b,2
+np.float32,0xbf2463b6,0xbf83896e,2
+np.float32,0x801cca42,0x801cca42,2
+np.float32,0xbf28f2d0,0xbf8a121a,2
+np.float32,0x3f4168c2,0x3f1010ce,2
+np.float32,0x6f91a1,0x6f91a1,2
+np.float32,0xbf2b9eeb,0xbf8e0fc5,2
+np.float32,0xbea4c858,0xbec6d8e4,2
+np.float32,0xbf7abba0,0xc0788e88,2
+np.float32,0x802f18f7,0x802f18f7,2
+np.float32,0xbf7f6c75,0xc0c3145c,2
+np.float32,0xbe988210,0xbeb50f5e,2
+np.float32,0xbf219b7e,0xbf7f6a3b,2
+np.float32,0x7f800000,0x7f800000,2
+np.float32,0x7f7fffff,0x42b17218,2
+np.float32,0xbdca8d90,0xbdd5487e,2
+np.float32,0xbef683b0,0xbf2821b0,2
+np.float32,0x8043e648,0x8043e648,2
+np.float32,0xbf4319a4,0xbfb7cd1b,2
+np.float32,0x62c2b2,0x62c2b2,2
+np.float32,0xbf479ccd,0xbfc1a7b1,2
+np.float32,0x806c8a32,0x806c8a32,2
+np.float32,0x7f004447,0x42b01045,2
+np.float32,0x3f737d36,0x3f2b1ccf,2
+np.float32,0x3ee71f24,0x3ebebced,2
+np.float32,0x3ea0b6b4,0x3e8bc606,2
+np.float32,0x358fd7,0x358fd7,2
+np.float32,0xbe69780c,0xbe847d17,2
+np.float32,0x7f6bed18,0x42b14849,2
+np.float32,0xbf6a5113,0xc01dfe1d,2
+np.float32,0xbf255693,0xbf84de88,2
+np.float32,0x7f34acac,0x42b0bfac,2
+np.float32,0xbe8a3b6a,0xbea11efe,2
+np.float32,0x3f470d84,0x3f1342ab,2
+np.float32,0xbf2cbde3,0xbf8fc602,2
+np.float32,0x47c103,0x47c103,2
+np.float32,0xe3c94,0xe3c94,2
+np.float32,0xbec07afa,0xbef1693a,2
+np.float32,0x6a9cfe,0x6a9cfe,2
+np.float32,0xbe4339e0,0xbe5899da,2
+np.float32,0x7ea9bf1e,0x42af3cd6,2
+np.float32,0x3f6378b4,0x3f22c4c4,2
+np.float32,0xbd989ff0,0xbd9e9c77,2
+np.float32,0xbe6f2f50,0xbe88343d,2
+np.float32,0x3f7f2ac5,0x3f310764,2
+np.float32,0x3f256704,0x3eff2fb2,2
+np.float32,0x80786aca,0x80786aca,2
+np.float32,0x65d02f,0x65d02f,2
+np.float32,0x50d1c3,0x50d1c3,2
+np.float32,0x3f4a9d76,0x3f1541b4,2
+np.float32,0x802cf491,0x802cf491,2
+np.float32,0x3e935cec,0x3e81829b,2
+np.float32,0x3e2ad478,0x3e1dfd81,2
+np.float32,0xbf107cbd,0xbf54bef2,2
+np.float32,0xbf58c02e,0xbff007fe,2
+np.float32,0x80090808,0x80090808,2
+np.float32,0x805d1f66,0x805d1f66,2
+np.float32,0x6aec95,0x6aec95,2
+np.float32,0xbee3fc6e,0xbf16dc73,2
+np.float32,0x7f63314b,0x42b134f9,2
+np.float32,0x550443,0x550443,2
+np.float32,0xbefa8174,0xbf2c026e,2
+np.float32,0x3f7fb380,0x3f314bd5,2
+np.float32,0x80171f2c,0x80171f2c,2
+np.float32,0x3f2f56ae,0x3f058f2d,2
+np.float32,0x3eacaecb,0x3e94cd97,2
+np.float32,0xbe0c4f0c,0xbe16e69d,2
+np.float32,0x3f48e4cb,0x3f144b42,2
+np.float32,0x7f03efe2,0x42b01eb7,2
+np.float32,0xbf1019ac,0xbf53dbe9,2
+np.float32,0x3e958524,0x3e832eb5,2
+np.float32,0xbf1b23c6,0xbf6e72f2,2
+np.float32,0x12c554,0x12c554,2
+np.float32,0x7dee588c,0x42ad24d6,2
+np.float32,0xbe8c216c,0xbea3ba70,2
+np.float32,0x804553cb,0x804553cb,2
+np.float32,0xbe446324,0xbe5a0966,2
+np.float32,0xbef7150a,0xbf28adff,2
+np.float32,0xbf087282,0xbf42ec6e,2
+np.float32,0x3eeef15c,0x3ec41937,2
+np.float32,0x61bbd2,0x61bbd2,2
+np.float32,0x3e51b28d,0x3e3ec538,2
+np.float32,0x57e869,0x57e869,2
+np.float32,0x7e5e7711,0x42ae646c,2
+np.float32,0x8050b173,0x8050b173,2
+np.float32,0xbf63c90c,0xc00d2438,2
+np.float32,0xbeba774c,0xbee7dcf8,2
+np.float32,0x8016faac,0x8016faac,2
+np.float32,0xbe8b448c,0xbea28aaf,2
+np.float32,0x3e8cd448,0x3e78d29e,2
+np.float32,0x80484e02,0x80484e02,2
+np.float32,0x3f63ba68,0x3f22e78c,2
+np.float32,0x2e87bb,0x2e87bb,2
+np.float32,0x230496,0x230496,2
+np.float32,0x1327b2,0x1327b2,2
+np.float32,0xbf046c56,0xbf3a72d2,2
+np.float32,0x3ecefe60,0x3eadd69a,2
+np.float32,0x49c56e,0x49c56e,2
+np.float32,0x3df22d60,0x3de4e550,2
+np.float32,0x3f67c19d,0x3f250707,2
+np.float32,0x3f20eb9c,0x3ef9b624,2
+np.float32,0x3f05ca75,0x3ed742fa,2
+np.float32,0xbe8514f8,0xbe9a1d45,2
+np.float32,0x8070a003,0x8070a003,2
+np.float32,0x7e49650e,0x42ae317a,2
+np.float32,0x3de16ce9,0x3dd5dc3e,2
+np.float32,0xbf4ae952,0xbfc95f1f,2
+np.float32,0xbe44dd84,0xbe5aa0db,2
+np.float32,0x803c3bc0,0x803c3bc0,2
+np.float32,0x3eebb9e8,0x3ec1e692,2
+np.float32,0x80588275,0x80588275,2
+np.float32,0xbea1e69a,0xbec29d86,2
+np.float32,0x3f7b4bf8,0x3f2f154c,2
+np.float32,0x7eb47ecc,0x42af5c46,2
+np.float32,0x3d441e00,0x3d3f911a,2
+np.float32,0x7f54d40e,0x42b11388,2
+np.float32,0xbf47f17e,0xbfc26882,2
+np.float32,0x3ea7da57,0x3e912db4,2
+np.float32,0x3f59cc7b,0x3f1d984e,2
+np.float32,0x570e08,0x570e08,2
+np.float32,0x3e99560c,0x3e8620a2,2
+np.float32,0x3ecfbd14,0x3eae5e55,2
+np.float32,0x7e86be08,0x42aec698,2
+np.float32,0x3f10f28a,0x3ee5b5d3,2
+np.float32,0x7f228722,0x42b0897a,2
+np.float32,0x3f4b979b,0x3f15cd30,2
+np.float32,0xbf134283,0xbf5b30f9,2
+np.float32,0x3f2ae16a,0x3f02e64f,2
+np.float32,0x3e98e158,0x3e85c6cc,2
+np.float32,0x7ec39f27,0x42af857a,2
+np.float32,0x3effedb0,0x3ecf8cea,2
+np.float32,0xbd545620,0xbd5a09c1,2
+np.float32,0x503a28,0x503a28,2
+np.float32,0x3f712744,0x3f29e9a1,2
+np.float32,0x3edc6194,0x3eb748b1,2
+np.float32,0xbf4ec1e5,0xbfd2ff5f,2
+np.float32,0x3f46669e,0x3f12e4b5,2
+np.float32,0xabad3,0xabad3,2
+np.float32,0x80000000,0x80000000,2
+np.float32,0x803f2e6d,0x803f2e6d,2
+np.float32,0xbf431542,0xbfb7c3e6,2
+np.float32,0x3f6f2d53,0x3f28e496,2
+np.float32,0x546bd8,0x546bd8,2
+np.float32,0x25c80a,0x25c80a,2
+np.float32,0x3e50883c,0x3e3dcd7e,2
+np.float32,0xbf5fa2ba,0xc0045c14,2
+np.float32,0x80271c07,0x80271c07,2
+np.float32,0x8043755d,0x8043755d,2
+np.float32,0xbf3c5cea,0xbfaa5ee9,2
+np.float32,0x3f2fea38,0x3f05e6af,2
+np.float32,0x6da3dc,0x6da3dc,2
+np.float32,0xbf095945,0xbf44dc70,2
+np.float32,0xbe33d584,0xbe45c1f5,2
+np.float32,0x7eb41b2e,0x42af5b2b,2
+np.float32,0xbf0feb74,0xbf537242,2
+np.float32,0xbe96225a,0xbeb1b0b1,2
+np.float32,0x3f63b95f,0x3f22e700,2
+np.float32,0x0,0x0,2
+np.float32,0x3e20b0cc,0x3e154374,2
+np.float32,0xbf79880c,0xc06b6801,2
+np.float32,0xbea690b6,0xbec97b93,2
+np.float32,0xbf3e11ca,0xbfada449,2
+np.float32,0x7e7e6292,0x42aea912,2
+np.float32,0x3e793350,0x3e5f0b7b,2
+np.float32,0x802e7183,0x802e7183,2
+np.float32,0x3f1b3695,0x3ef2a788,2
+np.float32,0x801efa20,0x801efa20,2
+np.float32,0x3f1ec43a,0x3ef70f42,2
+np.float32,0xbf12c5ed,0xbf5a0c52,2
+np.float32,0x8005e99c,0x8005e99c,2
+np.float32,0xbf79f5e7,0xc06fcca5,2
+np.float32,0x3ecbaf50,0x3eab7a03,2
+np.float32,0x46b0fd,0x46b0fd,2
+np.float32,0x3edb9023,0x3eb6b631,2
+np.float32,0x7f24bc41,0x42b09063,2
+np.float32,0xbd8d9328,0xbd92b4c6,2
+np.float32,0x3f2c5d7f,0x3f03c9d9,2
+np.float32,0x807bebc9,0x807bebc9,2
+np.float32,0x7f797a99,0x42b164e2,2
+np.float32,0x756e3c,0x756e3c,2
+np.float32,0x80416f8a,0x80416f8a,2
+np.float32,0x3e0d512a,0x3e04611a,2
+np.float32,0x3f7be3e6,0x3f2f61ec,2
+np.float32,0x80075c41,0x80075c41,2
+np.float32,0xbe850294,0xbe9a046c,2
+np.float32,0x684679,0x684679,2
+np.float32,0x3eb393c4,0x3e99eed2,2
+np.float32,0x3f4177c6,0x3f10195b,2
+np.float32,0x3dd1f402,0x3dc7dfe5,2
+np.float32,0x3ef484d4,0x3ec7e2e1,2
+np.float32,0x53eb8f,0x53eb8f,2
+np.float32,0x7f072cb6,0x42b02b20,2
+np.float32,0xbf1b6b55,0xbf6f28d4,2
+np.float32,0xbd8a98d8,0xbd8f827d,2
+np.float32,0x3eafb418,0x3e970e96,2
+np.float32,0x6555af,0x6555af,2
+np.float32,0x7dd5118e,0x42aceb6f,2
+np.float32,0x800a13f7,0x800a13f7,2
+np.float32,0x331a9d,0x331a9d,2
+np.float32,0x8063773f,0x8063773f,2
+np.float32,0x3e95e068,0x3e837553,2
+np.float32,0x80654b32,0x80654b32,2
+np.float32,0x3dabe0e0,0x3da50bb3,2
+np.float32,0xbf6283c3,0xc00a5280,2
+np.float32,0x80751cc5,0x80751cc5,2
+np.float32,0x3f668eb6,0x3f2465c0,2
+np.float32,0x3e13c058,0x3e0a048c,2
+np.float32,0x77780c,0x77780c,2
+np.float32,0x3f7d6e48,0x3f302868,2
+np.float32,0x7e31f9e3,0x42adf22f,2
+np.float32,0x246c7b,0x246c7b,2
+np.float32,0xbe915bf0,0xbeaafa6c,2
+np.float32,0xbf800000,0xff800000,2
+np.float32,0x3f698f42,0x3f25f8e0,2
+np.float32,0x7e698885,0x42ae7d48,2
+np.float32,0x3f5bbd42,0x3f1ea42c,2
+np.float32,0x5b8444,0x5b8444,2
+np.float32,0xbf6065f6,0xc005e2c6,2
+np.float32,0xbeb95036,0xbee60dad,2
+np.float32,0xbf44f846,0xbfbbcade,2
+np.float32,0xc96e5,0xc96e5,2
+np.float32,0xbf213e90,0xbf7e6eae,2
+np.float32,0xbeb309cc,0xbedc4fe6,2
+np.float32,0xbe781cf4,0xbe8e0fe6,2
+np.float32,0x7f0cf0db,0x42b04083,2
+np.float32,0xbf7b6143,0xc08078f9,2
+np.float32,0x80526fc6,0x80526fc6,2
+np.float32,0x3f092bf3,0x3edbaeec,2
+np.float32,0x3ecdf154,0x3ead16df,2
+np.float32,0x2fe85b,0x2fe85b,2
+np.float32,0xbf5100a0,0xbfd8f871,2
+np.float32,0xbec09d40,0xbef1a028,2
+np.float32,0x5e6a85,0x5e6a85,2
+np.float32,0xbec0e2a0,0xbef20f6b,2
+np.float32,0x3f72e788,0x3f2ad00d,2
+np.float32,0x880a6,0x880a6,2
+np.float32,0x3d9e90bf,0x3d98b9fc,2
+np.float32,0x15cf25,0x15cf25,2
+np.float32,0x10171b,0x10171b,2
+np.float32,0x805cf1aa,0x805cf1aa,2
+np.float32,0x3f19bd36,0x3ef0d0d2,2
+np.float32,0x3ebe2bda,0x3ea1b774,2
+np.float32,0xbecd8192,0xbf035c49,2
+np.float32,0x3e2ce508,0x3e1fc21b,2
+np.float32,0x290f,0x290f,2
+np.float32,0x803b679f,0x803b679f,2
+np.float32,0x1,0x1,2
+np.float32,0x807a9c76,0x807a9c76,2
+np.float32,0xbf65fced,0xc01257f8,2
+np.float32,0x3f783414,0x3f2d8475,2
+np.float32,0x3f2d9d92,0x3f0488da,2
+np.float32,0xbddb5798,0xbde80018,2
+np.float32,0x3e91afb8,0x3e8034e7,2
+np.float32,0xbf1b775a,0xbf6f476d,2
+np.float32,0xbf73a32c,0xc041f3ba,2
+np.float32,0xbea39364,0xbec5121b,2
+np.float32,0x80375b94,0x80375b94,2
+np.float32,0x3f331252,0x3f07c3e9,2
+np.float32,0xbf285774,0xbf892e74,2
+np.float32,0x3e699bb8,0x3e526d55,2
+np.float32,0x3f08208a,0x3eda523a,2
+np.float32,0xbf42fb4a,0xbfb78d60,2
+np.float32,0x8029c894,0x8029c894,2
+np.float32,0x3e926c0c,0x3e80c76e,2
+np.float32,0x801e4715,0x801e4715,2
+np.float32,0x3e4b36d8,0x3e395ffd,2
+np.float32,0x8041556b,0x8041556b,2
+np.float32,0xbf2d99ba,0xbf9119bd,2
+np.float32,0x3ed83ea8,0x3eb46250,2
+np.float32,0xbe94a280,0xbeaf92b4,2
+np.float32,0x7f4c7a64,0x42b0ff0a,2
+np.float32,0x806d4022,0x806d4022,2
+np.float32,0xbed382f8,0xbf086d26,2
+np.float32,0x1846fe,0x1846fe,2
+np.float32,0xbe702558,0xbe88d4d8,2
+np.float32,0xbe650ee0,0xbe81a3cc,2
+np.float32,0x3ee9d088,0x3ec0970c,2
+np.float32,0x7f6d4498,0x42b14b30,2
+np.float32,0xbef9f9e6,0xbf2b7ddb,2
+np.float32,0xbf70c384,0xc0349370,2
+np.float32,0xbeff9e9e,0xbf3110c8,2
+np.float32,0xbef06372,0xbf224aa9,2
+np.float32,0xbf15a692,0xbf60e1fa,2
+np.float32,0x8058c117,0x8058c117,2
+np.float32,0xbd9f74b8,0xbda6017b,2
+np.float32,0x801bf130,0x801bf130,2
+np.float32,0x805da84c,0x805da84c,2
+np.float32,0xff800000,0xffc00000,2
+np.float32,0xbeb01de2,0xbed7d6d6,2
+np.float32,0x8077de08,0x8077de08,2
+np.float32,0x3e327668,0x3e2482c1,2
+np.float32,0xbe7add88,0xbe8fe1ab,2
+np.float32,0x805a3c2e,0x805a3c2e,2
+np.float32,0x80326a73,0x80326a73,2
+np.float32,0x800b8a34,0x800b8a34,2
+np.float32,0x8048c83a,0x8048c83a,2
+np.float32,0xbf3799d6,0xbfa1a975,2
+np.float32,0x807649c7,0x807649c7,2
+np.float32,0x3dfdbf90,0x3def3798,2
+np.float32,0xbf1b538a,0xbf6eec4c,2
+np.float32,0xbf1e5989,0xbf76baa0,2
+np.float32,0xc7a80,0xc7a80,2
+np.float32,0x8001be54,0x8001be54,2
+np.float32,0x3f435bbc,0x3f112c6d,2
+np.float32,0xbeabcff8,0xbed151d1,2
+np.float32,0x7de20c78,0x42ad09b7,2
+np.float32,0x3f0e6d2e,0x3ee27b1e,2
+np.float32,0xbf0cb352,0xbf4c3267,2
+np.float32,0x7f6ec06f,0x42b14e61,2
+np.float32,0x7f6fa8ef,0x42b15053,2
+np.float32,0xbf3d2a6a,0xbfabe623,2
+np.float32,0x7f077a4c,0x42b02c46,2
+np.float32,0xbf2a68dc,0xbf8c3cc4,2
+np.float32,0x802a5dbe,0x802a5dbe,2
+np.float32,0x807f631c,0x807f631c,2
+np.float32,0x3dc9b8,0x3dc9b8,2
+np.float32,0x3ebdc1b7,0x3ea16a0a,2
+np.float32,0x7ef29dab,0x42aff3b5,2
+np.float32,0x3e8ab1cc,0x3e757806,2
+np.float32,0x3f27e88e,0x3f011c6d,2
+np.float32,0x3cfd1455,0x3cf93fb5,2
+np.float32,0x7f7eebf5,0x42b16fef,2
+np.float32,0x3c9b2140,0x3c99ade9,2
+np.float32,0x7e928601,0x42aef183,2
+np.float32,0xbd7d2db0,0xbd82abae,2
+np.float32,0x3e6f0df3,0x3e56da20,2
+np.float32,0x7d36a2fc,0x42ab39a3,2
+np.float32,0xbf49d3a2,0xbfc6c859,2
+np.float32,0x7ee541d3,0x42afd6b6,2
+np.float32,0x80753dc0,0x80753dc0,2
+np.float32,0x3f4ce486,0x3f16865d,2
+np.float32,0x39e701,0x39e701,2
+np.float32,0x3f3d9ede,0x3f0de5fa,2
+np.float32,0x7fafb2,0x7fafb2,2
+np.float32,0x3e013fdc,0x3df37090,2
+np.float32,0x807b6a2c,0x807b6a2c,2
+np.float32,0xbe86800a,0xbe9c08c7,2
+np.float32,0x7f40f080,0x42b0e14d,2
+np.float32,0x7eef5afe,0x42afecc8,2
+np.float32,0x7ec30052,0x42af83da,2
+np.float32,0x3eacf768,0x3e9503e1,2
+np.float32,0x7f13ef0e,0x42b0594e,2
+np.float32,0x80419f4a,0x80419f4a,2
+np.float32,0xbf485932,0xbfc3562a,2
+np.float32,0xbe8a24d6,0xbea10011,2
+np.float32,0xbda791c0,0xbdaed2bc,2
+np.float32,0x3e9b5169,0x3e87a67d,2
+np.float32,0x807dd882,0x807dd882,2
+np.float32,0x7f40170e,0x42b0df0a,2
+np.float32,0x7f02f7f9,0x42b01af1,2
+np.float32,0x3ea38bf9,0x3e8decde,2
+np.float32,0x3e2e7ce8,0x3e211ed4,2
+np.float32,0x70a7a6,0x70a7a6,2
+np.float32,0x7d978592,0x42ac3ce7,2
+np.float32,0x804d12d0,0x804d12d0,2
+np.float32,0x80165dc8,0x80165dc8,2
+np.float32,0x80000001,0x80000001,2
+np.float32,0x3e325da0,0x3e246da6,2
+np.float32,0xbe063bb8,0xbe0fe281,2
+np.float32,0x160b8,0x160b8,2
+np.float32,0xbe5687a4,0xbe70bbef,2
+np.float32,0x7f11ab34,0x42b05168,2
+np.float32,0xc955c,0xc955c,2
+np.float32,0xbea0003a,0xbebfd826,2
+np.float32,0x3f7fbdd9,0x3f315102,2
+np.float32,0xbe61aefc,0xbe7ef121,2
+np.float32,0xbf1b9873,0xbf6f9bc3,2
+np.float32,0x3a6d14,0x3a6d14,2
+np.float32,0xbf1ad3b4,0xbf6da808,2
+np.float32,0x3ed2dd24,0x3eb0963d,2
+np.float32,0xbe81a4ca,0xbe957d52,2
+np.float32,0x7f1be3e9,0x42b07421,2
+np.float32,0x7f5ce943,0x42b1269e,2
+np.float32,0x7eebcbdf,0x42afe51d,2
+np.float32,0x807181b5,0x807181b5,2
+np.float32,0xbecb03ba,0xbf0149ad,2
+np.float32,0x42edb8,0x42edb8,2
+np.float32,0xbf3aeec8,0xbfa7b13f,2
+np.float32,0xbd0c4f00,0xbd0ec4a0,2
+np.float32,0x3e48d260,0x3e376070,2
+np.float32,0x1a9731,0x1a9731,2
+np.float32,0x7f323be4,0x42b0b8b5,2
+np.float32,0x1a327f,0x1a327f,2
+np.float32,0x17f1fc,0x17f1fc,2
+np.float32,0xbf2f4f9b,0xbf93c91a,2
+np.float32,0x3ede8934,0x3eb8c9c3,2
+np.float32,0xbf56aaac,0xbfe968bb,2
+np.float32,0x3e22cb5a,0x3e17148c,2
+np.float32,0x7d9def,0x7d9def,2
+np.float32,0x8045b963,0x8045b963,2
+np.float32,0x77404f,0x77404f,2
+np.float32,0x7e2c9efb,0x42ade28b,2
+np.float32,0x8058ad89,0x8058ad89,2
+np.float32,0x7f4139,0x7f4139,2
+np.float32,0x8020e12a,0x8020e12a,2
+np.float32,0x800c9daa,0x800c9daa,2
+np.float32,0x7f2c5ac5,0x42b0a789,2
+np.float32,0x3f04a47b,0x3ed5c043,2
+np.float32,0x804692d5,0x804692d5,2
+np.float32,0xbf6e7fa4,0xc02bb493,2
+np.float32,0x80330756,0x80330756,2
+np.float32,0x7f3e29ad,0x42b0d9e1,2
+np.float32,0xbebf689a,0xbeefb24d,2
+np.float32,0x3f29a86c,0x3f022a56,2
+np.float32,0x3e3bd1c0,0x3e2c72b3,2
+np.float32,0x3f78f2e8,0x3f2de546,2
+np.float32,0x3f3709be,0x3f0a16af,2
+np.float32,0x3e11f150,0x3e086f97,2
+np.float32,0xbf5867ad,0xbfeee8a0,2
+np.float32,0xbebfb328,0xbef0296c,2
+np.float32,0x2f7f15,0x2f7f15,2
+np.float32,0x805cfe84,0x805cfe84,2
+np.float32,0xbf504e01,0xbfd71589,2
+np.float32,0x3ee0903c,0x3eba330c,2
+np.float32,0xbd838990,0xbd87f399,2
+np.float32,0x3f14444e,0x3ee9ee7d,2
+np.float32,0x7e352583,0x42adfb3a,2
+np.float32,0x7e76f824,0x42ae99ec,2
+np.float32,0x3f772d00,0x3f2cfebf,2
+np.float32,0x801f7763,0x801f7763,2
+np.float32,0x3f760bf5,0x3f2c6b87,2
+np.float32,0xbf0bb696,0xbf4a03a5,2
+np.float32,0x3f175d2c,0x3eedd6d2,2
+np.float32,0xbf5723f8,0xbfeae288,2
+np.float32,0x24de0a,0x24de0a,2
+np.float32,0x3cd73f80,0x3cd47801,2
+np.float32,0x7f013305,0x42b013fa,2
+np.float32,0x3e3ad425,0x3e2b9c50,2
+np.float32,0x7d3d16,0x7d3d16,2
+np.float32,0x3ef49738,0x3ec7ef54,2
+np.float32,0x3f5b8612,0x3f1e8678,2
+np.float32,0x7f0eeb5c,0x42b047a7,2
+np.float32,0x7e9d7cb0,0x42af1675,2
+np.float32,0xbdd1cfb0,0xbddd5aa0,2
+np.float32,0xbf645dba,0xc00e78fe,2
+np.float32,0x3f511174,0x3f18d56c,2
+np.float32,0x3d91ad00,0x3d8cba62,2
+np.float32,0x805298da,0x805298da,2
+np.float32,0xbedb6af4,0xbf0f4090,2
+np.float32,0x3d23b1ba,0x3d208205,2
+np.float32,0xbea5783e,0xbec7dc87,2
+np.float32,0x79d191,0x79d191,2
+np.float32,0x3e894413,0x3e7337da,2
+np.float32,0x80800000,0x80800000,2
+np.float32,0xbf34a8d3,0xbf9c907b,2
+np.float32,0x3bae779a,0x3bae011f,2
+np.float32,0x8049284d,0x8049284d,2
+np.float32,0x3eb42cc4,0x3e9a600b,2
+np.float32,0x3da1e2d0,0x3d9bce5f,2
+np.float32,0x3f364b8a,0x3f09a7af,2
+np.float32,0x3d930b10,0x3d8e0118,2
+np.float32,0x8061f8d7,0x8061f8d7,2
+np.float32,0x3f473213,0x3f13573b,2
+np.float32,0x3f1e2a38,0x3ef65102,2
+np.float32,0x8068f7d9,0x8068f7d9,2
+np.float32,0x3f181ef8,0x3eeeca2c,2
+np.float32,0x3eeb6168,0x3ec1a9f5,2
+np.float32,0xc2db6,0xc2db6,2
+np.float32,0x3ef7b578,0x3eca0a69,2
+np.float32,0xbf5b5a84,0xbff8d075,2
+np.float32,0x7f479d5f,0x42b0f2b7,2
+np.float32,0x3e6f3c24,0x3e56ff92,2
+np.float32,0x3f45543a,0x3f1249f0,2
+np.float32,0xbea7c1fa,0xbecb40d2,2
+np.float32,0x7de082,0x7de082,2
+np.float32,0x383729,0x383729,2
+np.float32,0xbd91cb90,0xbd973eb3,2
+np.float32,0x7f320218,0x42b0b80f,2
+np.float32,0x5547f2,0x5547f2,2
+np.float32,0x291fe4,0x291fe4,2
+np.float32,0xbe078ba0,0xbe11655f,2
+np.float32,0x7e0c0658,0x42ad7764,2
+np.float32,0x7e129a2b,0x42ad8ee5,2
+np.float32,0x3f7c96d4,0x3f2fbc0c,2
+np.float32,0x3f800000,0x3f317218,2
+np.float32,0x7f131754,0x42b05662,2
+np.float32,0x15f833,0x15f833,2
+np.float32,0x80392ced,0x80392ced,2
+np.float32,0x3f7c141a,0x3f2f7a36,2
+np.float32,0xbf71c03f,0xc038dcfd,2
+np.float32,0xbe14fb2c,0xbe20fff3,2
+np.float32,0xbee0bac6,0xbf13f14c,2
+np.float32,0x801a32dd,0x801a32dd,2
+np.float32,0x8e12d,0x8e12d,2
+np.float32,0x3f48c606,0x3f143a04,2
+np.float32,0x7f418af5,0x42b0e2e6,2
+np.float32,0x3f1f2918,0x3ef78bb7,2
+np.float32,0x11141b,0x11141b,2
+np.float32,0x3e9fc9e8,0x3e8b11ad,2
+np.float32,0xbea5447a,0xbec79010,2
+np.float32,0xbe31d904,0xbe4359db,2
+np.float32,0x80184667,0x80184667,2
+np.float32,0xbf00503c,0xbf3212c2,2
+np.float32,0x3e0328cf,0x3df6d425,2
+np.float32,0x7ee8e1b7,0x42afdebe,2
+np.float32,0xbef95e24,0xbf2ae5db,2
+np.float32,0x7f3e4eed,0x42b0da45,2
+np.float32,0x3f43ee85,0x3f117fa0,2
+np.float32,0xbcfa2ac0,0xbcfe10fe,2
+np.float32,0x80162774,0x80162774,2
+np.float32,0x372e8b,0x372e8b,2
+np.float32,0x3f263802,0x3f0016b0,2
+np.float32,0x8008725f,0x8008725f,2
+np.float32,0x800beb40,0x800beb40,2
+np.float32,0xbe93308e,0xbead8a77,2
+np.float32,0x3d8a4240,0x3d85cab8,2
+np.float32,0x80179de0,0x80179de0,2
+np.float32,0x7f4a98f2,0x42b0fa4f,2
+np.float32,0x3f0d214e,0x3ee0cff1,2
+np.float32,0x80536c2c,0x80536c2c,2
+np.float32,0x7e7038ed,0x42ae8bbe,2
+np.float32,0x7f345af9,0x42b0bec4,2
+np.float32,0xbf243219,0xbf83442f,2
+np.float32,0x7e0d5555,0x42ad7c27,2
+np.float32,0x762e95,0x762e95,2
+np.float32,0x7ebf4548,0x42af79f6,2
+np.float32,0x8079639e,0x8079639e,2
+np.float32,0x3ef925c0,0x3ecb0260,2
+np.float32,0x3f708695,0x3f2996d6,2
+np.float32,0xfca9f,0xfca9f,2
+np.float32,0x8060dbf4,0x8060dbf4,2
+np.float32,0x4c8840,0x4c8840,2
+np.float32,0xbea922ee,0xbecd4ed5,2
+np.float32,0xbf4f28a9,0xbfd40b98,2
+np.float32,0xbe25ad48,0xbe34ba1b,2
+np.float32,0x3f2fb254,0x3f05c58c,2
+np.float32,0x3f73bcc2,0x3f2b3d5f,2
+np.float32,0xbf479a07,0xbfc1a165,2
+np.float32,0xbeb9a808,0xbee69763,2
+np.float32,0x7eb16a65,0x42af5376,2
+np.float32,0xbeb3e442,0xbedda042,2
+np.float32,0x3d8f439c,0x3d8a79ac,2
+np.float32,0x80347516,0x80347516,2
+np.float32,0x3e8a0c5d,0x3e74738c,2
+np.float32,0xbf0383a4,0xbf389289,2
+np.float32,0x806be8f5,0x806be8f5,2
+np.float32,0x8023f0c5,0x8023f0c5,2
+np.float32,0x2060e9,0x2060e9,2
+np.float32,0xbf759eba,0xc04d239f,2
+np.float32,0x3d84cc5a,0x3d80ab96,2
+np.float32,0xbf57746b,0xbfebdf87,2
+np.float32,0x3e418417,0x3e31401f,2
+np.float32,0xaecce,0xaecce,2
+np.float32,0x3cd1766f,0x3cced45c,2
+np.float32,0x53724a,0x53724a,2
+np.float32,0x3f773710,0x3f2d03de,2
+np.float32,0x8013d040,0x8013d040,2
+np.float32,0x4d0eb2,0x4d0eb2,2
+np.float32,0x8014364a,0x8014364a,2
+np.float32,0x7f3c56c9,0x42b0d4f2,2
+np.float32,0x3eee1e1c,0x3ec3891a,2
+np.float32,0xbdda3eb8,0xbde6c5a0,2
+np.float32,0x26ef4a,0x26ef4a,2
+np.float32,0x7ed3370c,0x42afacbf,2
+np.float32,0xbf06e31b,0xbf3f9ab7,2
+np.float32,0xbe3185f0,0xbe42f556,2
+np.float32,0x3dcf9abe,0x3dc5be41,2
+np.float32,0xbf3696d9,0xbf9fe2bd,2
+np.float32,0x3e68ee50,0x3e51e01a,2
+np.float32,0x3f3d4cc2,0x3f0db6ca,2
+np.float32,0x7fa00000,0x7fe00000,2
+np.float32,0xbf03070c,0xbf3792d0,2
+np.float32,0x3ea79e6c,0x3e910092,2
+np.float32,0xbf1a393a,0xbf6c2251,2
+np.float32,0x3f41eb0e,0x3f105afc,2
+np.float32,0x3ceadb2f,0x3ce78d79,2
+np.float32,0xbf5dc105,0xc000be2c,2
+np.float32,0x7ebb5a0e,0x42af6f5c,2
+np.float32,0xbf7c44eb,0xc0875058,2
+np.float32,0x6aaaf4,0x6aaaf4,2
+np.float32,0x807d8f23,0x807d8f23,2
+np.float32,0xbee6b142,0xbf194fef,2
+np.float32,0xbe83f256,0xbe989526,2
+np.float32,0x7d588e,0x7d588e,2
+np.float32,0x7cc80131,0x42aa0542,2
+np.float32,0x3e0ab198,0x3e02124f,2
+np.float32,0xbf6e64db,0xc02b52eb,2
+np.float32,0x3d238b56,0x3d205d1b,2
+np.float32,0xbeb408e2,0xbeddd8bc,2
+np.float32,0x3f78340d,0x3f2d8471,2
+np.float32,0x806162a3,0x806162a3,2
+np.float32,0x804e484f,0x804e484f,2
+np.float32,0xbeb8c576,0xbee53466,2
+np.float32,0x807aab15,0x807aab15,2
+np.float32,0x3f523e20,0x3f197ab8,2
+np.float32,0xbf009190,0xbf3295de,2
+np.float32,0x3df43da5,0x3de6bd82,2
+np.float32,0x7f639aea,0x42b135e6,2
+np.float32,0x3f1e638a,0x3ef697da,2
+np.float32,0xbf4884de,0xbfc3bac3,2
+np.float32,0xbe9336b6,0xbead931b,2
+np.float32,0x6daf7f,0x6daf7f,2
+np.float32,0xbf1fc152,0xbf7a70b1,2
+np.float32,0x3f103720,0x3ee4c649,2
+np.float32,0x3eeaa227,0x3ec126df,2
+np.float32,0x7f7ea945,0x42b16f69,2
+np.float32,0x3d3cd800,0x3d389ead,2
+np.float32,0x3f3d7268,0x3f0dcc6e,2
+np.float32,0xbf3c1b41,0xbfa9e2e3,2
+np.float32,0x3ecf3818,0x3eadffb2,2
+np.float32,0x3f1af312,0x3ef25372,2
+np.float32,0x48fae4,0x48fae4,2
+np.float64,0x7fedaa1ee4fb543d,0x40862da7ca7c308e,2
+np.float64,0x8007d2d810efa5b1,0x8007d2d810efa5b1,2
+np.float64,0x3fc385e069270bc0,0x3fc22b8884cf2c3b,2
+np.float64,0x68ed4130d1da9,0x68ed4130d1da9,2
+np.float64,0x8008e93e58d1d27d,0x8008e93e58d1d27d,2
+np.float64,0xbfd3d62852a7ac50,0xbfd7be3a7ad1af02,2
+np.float64,0xbfc1fa0ba923f418,0xbfc35f0f19447df7,2
+np.float64,0xbfe01b8cec20371a,0xbfe6658c7e6c8e50,2
+np.float64,0xbfeda81a147b5034,0xc004e9c94f2b91c1,2
+np.float64,0xbfe1c36a97e386d5,0xbfe9ead4d6beaa92,2
+np.float64,0x3fe50be51f2a17ca,0x3fe02c8067d9e5c5,2
+np.float64,0x3febed4d3337da9a,0x3fe413956466134f,2
+np.float64,0x80068ea59ced1d4c,0x80068ea59ced1d4c,2
+np.float64,0x3febe77d5877cefb,0x3fe4107ac088bc71,2
+np.float64,0x800ae77617d5ceed,0x800ae77617d5ceed,2
+np.float64,0x3fd0546b60a0a8d7,0x3fcd16c2e995ab23,2
+np.float64,0xbfe33e1476667c29,0xbfed6d7faec4db2f,2
+np.float64,0x3fe9d2fd51b3a5fb,0x3fe2eef834310219,2
+np.float64,0x8004249878284932,0x8004249878284932,2
+np.float64,0xbfd5b485c72b690c,0xbfda828ccc6a7a5c,2
+np.float64,0x7fcd6e6b6b3adcd6,0x408622807f04768e,2
+np.float64,0x3fd7f9c32caff386,0x3fd45d024514b8da,2
+np.float64,0x7f87eb9d702fd73a,0x40860aa99fcff27f,2
+np.float64,0xbfc5d1f6fb2ba3ec,0xbfc7ec367cb3fecc,2
+np.float64,0x8008316a44d062d5,0x8008316a44d062d5,2
+np.float64,0xbfd54e4358aa9c86,0xbfd9e889d2998a4a,2
+np.float64,0xda65facdb4cc0,0xda65facdb4cc0,2
+np.float64,0x3fc5b4f6f32b69f0,0x3fc40d13aa8e248b,2
+np.float64,0x3fd825a5d5b04b4c,0x3fd47ce73e04d3ff,2
+np.float64,0x7ac9d56ef593b,0x7ac9d56ef593b,2
+np.float64,0xbfd0a51977214a32,0xbfd34702071428be,2
+np.float64,0x3fd21f620b243ec4,0x3fcfea0c02193640,2
+np.float64,0x3fe6fb3f1b2df67e,0x3fe151ffb18c983b,2
+np.float64,0x700de022e01bd,0x700de022e01bd,2
+np.float64,0xbfbb76b81236ed70,0xbfbd0d31deea1ec7,2
+np.float64,0x3fecfc3856f9f870,0x3fe4a2fcadf221e0,2
+np.float64,0x3fede286517bc50c,0x3fe51af2fbd6ef63,2
+np.float64,0x7fdc8da96c391b52,0x408627ce09cfef2b,2
+np.float64,0x8000edfcfb81dbfb,0x8000edfcfb81dbfb,2
+np.float64,0x8009ebc42af3d789,0x8009ebc42af3d789,2
+np.float64,0x7fd658aaf8acb155,0x408625d80cd1ccc9,2
+np.float64,0x3feea584a37d4b09,0x3fe57f29a73729cd,2
+np.float64,0x4cfe494699fca,0x4cfe494699fca,2
+np.float64,0xbfe9d96460b3b2c9,0xbffa62ecfa026c77,2
+np.float64,0x7fdb3852c3b670a5,0x4086276c191dc9b1,2
+np.float64,0xbfe4d1fc9ee9a3f9,0xbff0d37ce37cf479,2
+np.float64,0xffefffffffffffff,0xfff8000000000000,2
+np.float64,0xbfd1c43d7fa3887a,0xbfd4cfbefb5f2c43,2
+np.float64,0x3fec4a8e0d78951c,0x3fe4453a82ca2570,2
+np.float64,0x7fafed74583fdae8,0x4086181017b8dac9,2
+np.float64,0x80076c4ebcced89e,0x80076c4ebcced89e,2
+np.float64,0x8001a9aa7b235356,0x8001a9aa7b235356,2
+np.float64,0x121260fe2424d,0x121260fe2424d,2
+np.float64,0x3fddd028e3bba052,0x3fd87998c4c43c5b,2
+np.float64,0x800ed1cf4a9da39f,0x800ed1cf4a9da39f,2
+np.float64,0xbfef2e63d7fe5cc8,0xc00d53480b16971b,2
+np.float64,0xbfedde3309fbbc66,0xc005ab55b7a7c127,2
+np.float64,0x3fda3e1e85b47c3d,0x3fd5fddafd8d6729,2
+np.float64,0x8007c6443c6f8c89,0x8007c6443c6f8c89,2
+np.float64,0xbfe101705f2202e0,0xbfe8420817665121,2
+np.float64,0x7fe0bff3c1e17fe7,0x4086291539c56d80,2
+np.float64,0x7fe6001dab6c003a,0x40862b43aa7cb060,2
+np.float64,0x7fbdecf7de3bd9ef,0x40861d170b1c51a5,2
+np.float64,0xbfc0fd508c21faa0,0xbfc23a5876e99fa3,2
+np.float64,0xbfcf6eb14f3edd64,0xbfd208cbf742c8ea,2
+np.float64,0x3f6d40ea403a81d5,0x3f6d33934ab8e799,2
+np.float64,0x7fc32600b6264c00,0x40861f10302357e0,2
+np.float64,0x3fd05870baa0b0e0,0x3fcd1d2af420fac7,2
+np.float64,0x80051d5120aa3aa3,0x80051d5120aa3aa3,2
+np.float64,0x3fdb783fcfb6f080,0x3fd6db229658c083,2
+np.float64,0x3fe0b61199e16c24,0x3fdae41e277be2eb,2
+np.float64,0x3daf62167b5ed,0x3daf62167b5ed,2
+np.float64,0xbfec3c53b6f878a7,0xc0011f0ce7a78a2a,2
+np.float64,0x800fc905161f920a,0x800fc905161f920a,2
+np.float64,0x3fdc7b9cc138f73a,0x3fd78f9c2360e661,2
+np.float64,0x7fe4079e97a80f3c,0x40862a83795f2443,2
+np.float64,0x8010000000000000,0x8010000000000000,2
+np.float64,0x7fe6da5345adb4a6,0x40862b9183c1e4b0,2
+np.float64,0xbfd0a76667214ecc,0xbfd34a1e0c1f6186,2
+np.float64,0x37fb0b906ff62,0x37fb0b906ff62,2
+np.float64,0x7fe170e59fa2e1ca,0x408629680a55e5c5,2
+np.float64,0x3fea900c77752019,0x3fe356eec75aa345,2
+np.float64,0x3fc575c63a2aeb8c,0x3fc3d701167d76b5,2
+np.float64,0x3fe8b45da87168bc,0x3fe24ecbb778fd44,2
+np.float64,0xbfcb990ab5373214,0xbfcf1596c076813c,2
+np.float64,0xf146fdfbe28e0,0xf146fdfbe28e0,2
+np.float64,0x8001fcd474c3f9aa,0x8001fcd474c3f9aa,2
+np.float64,0xbfe9b555eeb36aac,0xbffa0630c3bb485b,2
+np.float64,0x800f950be83f2a18,0x800f950be83f2a18,2
+np.float64,0x7feb0e03ab761c06,0x40862ceb30e36887,2
+np.float64,0x7fca51bd4a34a37a,0x4086219b9dfd35c9,2
+np.float64,0xbfdc27c34cb84f86,0xbfe28ccde8d6bc08,2
+np.float64,0x80009ce1714139c4,0x80009ce1714139c4,2
+np.float64,0x8005290fb1ea5220,0x8005290fb1ea5220,2
+np.float64,0xbfee81e6473d03cd,0xc00885972ca1699b,2
+np.float64,0x7fcfb11a373f6233,0x408623180b8f75d9,2
+np.float64,0xbfcb9c4bfd373898,0xbfcf19bd25881928,2
+np.float64,0x7feaec5885f5d8b0,0x40862ce136050e6c,2
+np.float64,0x8009e17a4a53c2f5,0x8009e17a4a53c2f5,2
+np.float64,0xbfe1cceb9e6399d7,0xbfea0038bd3def20,2
+np.float64,0x8009170bd7122e18,0x8009170bd7122e18,2
+np.float64,0xb2b6f7f1656df,0xb2b6f7f1656df,2
+np.float64,0x3fc75bfd1f2eb7f8,0x3fc574c858332265,2
+np.float64,0x3fa24c06ec249800,0x3fa1fa462ffcb8ec,2
+np.float64,0xaa9a4d2d5534a,0xaa9a4d2d5534a,2
+np.float64,0xbfd7b76208af6ec4,0xbfdda0c3200dcc9f,2
+np.float64,0x7f8cbab73039756d,0x40860c20cba57a94,2
+np.float64,0x3fdbcf9f48b79f3f,0x3fd71827a60e8b6d,2
+np.float64,0xbfdd60f71a3ac1ee,0xbfe3a94bc8cf134d,2
+np.float64,0xb9253589724a7,0xb9253589724a7,2
+np.float64,0xbfcf28e37e3e51c8,0xbfd1da9977b741e3,2
+np.float64,0x80011457f7e228b1,0x80011457f7e228b1,2
+np.float64,0x7fec33df737867be,0x40862d404a897122,2
+np.float64,0xae55f8f95cabf,0xae55f8f95cabf,2
+np.float64,0xbfc1ab9397235728,0xbfc303e5533d4a5f,2
+np.float64,0x7fef0f84b3be1f08,0x40862e05f9ba7118,2
+np.float64,0x7fdc94f328b929e5,0x408627d01449d825,2
+np.float64,0x3fee1b598c7c36b3,0x3fe53847be166834,2
+np.float64,0x3fee8326f37d064e,0x3fe56d96f3fbcf43,2
+np.float64,0x3fe7b18a83ef6316,0x3fe1bb6a6d48c675,2
+np.float64,0x3fe5db969c6bb72e,0x3fe0a8d7d151996c,2
+np.float64,0x3e3391d27c673,0x3e3391d27c673,2
+np.float64,0x3fe79a46d76f348e,0x3fe1ae09a96ea628,2
+np.float64,0x7ff4000000000000,0x7ffc000000000000,2
+np.float64,0x7fe57d6505aafac9,0x40862b13925547f1,2
+np.float64,0x3fc433371d28666e,0x3fc2c196a764c47b,2
+np.float64,0x8008dbf69cd1b7ee,0x8008dbf69cd1b7ee,2
+np.float64,0xbfe744f459ee89e8,0xbff4c847ad3ee152,2
+np.float64,0x80098aa245331545,0x80098aa245331545,2
+np.float64,0x6747112ece8e3,0x6747112ece8e3,2
+np.float64,0x5d342a40ba69,0x5d342a40ba69,2
+np.float64,0xf7a17739ef42f,0xf7a17739ef42f,2
+np.float64,0x3fe1b34a9d236695,0x3fdc2d7c4e2c347a,2
+np.float64,0x7fb53bf5ec2a77eb,0x40861a585ec8f7ff,2
+np.float64,0xbfe6256f1cec4ade,0xbff2d89a36be65ae,2
+np.float64,0xb783bc9b6f078,0xb783bc9b6f078,2
+np.float64,0xbfedf74a3bfbee94,0xc0060bb6f2bc11ef,2
+np.float64,0x3fda2a5eccb454be,0x3fd5efd7f18b8e81,2
+np.float64,0xbfb3838ab2270718,0xbfb44c337fbca3c3,2
+np.float64,0x3fb4ac6dc22958e0,0x3fb3e194ca01a502,2
+np.float64,0x76c11aaaed824,0x76c11aaaed824,2
+np.float64,0x80025bb1af04b764,0x80025bb1af04b764,2
+np.float64,0x3fdc02740ab804e8,0x3fd73b8cd6f95f19,2
+np.float64,0x3fe71856f5ee30ae,0x3fe162e9fafb4428,2
+np.float64,0x800236f332646de7,0x800236f332646de7,2
+np.float64,0x7fe13fd9d2e27fb3,0x408629516b42a317,2
+np.float64,0x7fdf6bbd34bed779,0x40862892069d805c,2
+np.float64,0x3fd4727beba8e4f8,0x3fd1be5b48d9e282,2
+np.float64,0x800e0fac9e5c1f59,0x800e0fac9e5c1f59,2
+np.float64,0xfb54423ff6a89,0xfb54423ff6a89,2
+np.float64,0x800fbf7ed47f7efe,0x800fbf7ed47f7efe,2
+np.float64,0x3fe9d41fa2f3a840,0x3fe2ef98dc1fd463,2
+np.float64,0x800d733e805ae67d,0x800d733e805ae67d,2
+np.float64,0x3feebe4c46fd7c98,0x3fe58bcf7f47264e,2
+np.float64,0x7fe1ab77b5e356ee,0x40862982bb3dce34,2
+np.float64,0xbfdddac05abbb580,0xbfe41aa45f72d5a2,2
+np.float64,0x3fe14219dee28434,0x3fdb9b137d1f1220,2
+np.float64,0x3fe25d3d5a24ba7b,0x3fdd06e1cf32d35a,2
+np.float64,0x8000fa4fbe81f4a0,0x8000fa4fbe81f4a0,2
+np.float64,0x3fe303e23e6607c4,0x3fddd94982efa9f1,2
+np.float64,0x3fe89cf5d83139ec,0x3fe24193a2e12f75,2
+np.float64,0x3fe9b36ef87366de,0x3fe2dd7cdc25a4a5,2
+np.float64,0xbfdb8b38f8371672,0xbfe2023ba7e002bb,2
+np.float64,0xafc354955f86b,0xafc354955f86b,2
+np.float64,0xbfe2f3d49e65e7a9,0xbfecb557a94123d3,2
+np.float64,0x800496617c092cc4,0x800496617c092cc4,2
+np.float64,0x32db0cfa65b62,0x32db0cfa65b62,2
+np.float64,0xbfd893bfa2b12780,0xbfdf02a8c1e545aa,2
+np.float64,0x7fd5ac927d2b5924,0x408625997e7c1f9b,2
+np.float64,0x3fde9defb8bd3be0,0x3fd9056190986349,2
+np.float64,0x80030cfeb54619fe,0x80030cfeb54619fe,2
+np.float64,0x3fcba85b273750b8,0x3fc90a5ca976594f,2
+np.float64,0x3fe98f6f5cf31edf,0x3fe2c97fcb4eca25,2
+np.float64,0x3fe33dbf90667b80,0x3fde21b83321b993,2
+np.float64,0x3fe4686636e8d0cc,0x3fdf928cdca751b3,2
+np.float64,0x80018ade6ce315be,0x80018ade6ce315be,2
+np.float64,0x7fa9af70c8335ee1,0x408616528cd5a906,2
+np.float64,0x3fbeb460aa3d68c0,0x3fbcff96b00a2193,2
+np.float64,0x7fa82c869830590c,0x408615d6598d9368,2
+np.float64,0xd08c0e6fa1182,0xd08c0e6fa1182,2
+np.float64,0x3fef4eb750fe9d6f,0x3fe5d522fd4e7f64,2
+np.float64,0xbfc586f5492b0dec,0xbfc791eaae92aad1,2
+np.float64,0x7fede64ac7bbcc95,0x40862db7f444fa7b,2
+np.float64,0x3fe540003d6a8000,0x3fe04bdfc2916a0b,2
+np.float64,0x8009417fe6f28300,0x8009417fe6f28300,2
+np.float64,0x3fe6959cf16d2b3a,0x3fe116a1ce01887b,2
+np.float64,0x3fb0a40036214800,0x3fb01f447778219a,2
+np.float64,0x3feff26e91ffe4dd,0x3fe627798fc859a7,2
+np.float64,0x7fed8e46cd7b1c8d,0x40862da044a1d102,2
+np.float64,0x7fec4eb774f89d6e,0x40862d47e43edb53,2
+np.float64,0x3fe800e5e07001cc,0x3fe1e8e2b9105fc2,2
+np.float64,0x800f4eb2f9be9d66,0x800f4eb2f9be9d66,2
+np.float64,0x800611659bcc22cc,0x800611659bcc22cc,2
+np.float64,0x3fd66e65d2acdccc,0x3fd33ad63a5e1000,2
+np.float64,0x800a9085b7f5210c,0x800a9085b7f5210c,2
+np.float64,0x7fdf933a3fbf2673,0x4086289c0e292f2b,2
+np.float64,0x1cd1ba7a39a38,0x1cd1ba7a39a38,2
+np.float64,0xbfefd0b10fffa162,0xc0149ded900ed851,2
+np.float64,0xbfe8c63485b18c69,0xbff7cf3078b1574f,2
+np.float64,0x3fecde56ca79bcae,0x3fe4934afbd7dda9,2
+np.float64,0x8006cd6888cd9ad2,0x8006cd6888cd9ad2,2
+np.float64,0x3fd7a391c2af4724,0x3fd41e2f74df2329,2
+np.float64,0x3fe6a8ad58ed515a,0x3fe121ccfb28e6f5,2
+np.float64,0x7fe18a80dd631501,0x40862973c09086b9,2
+np.float64,0xbf74fd6d8029fb00,0xbf750b3e368ebe6b,2
+np.float64,0x3fdd35e93dba6bd4,0x3fd810071faaffad,2
+np.float64,0x3feb0d8f57361b1f,0x3fe39b3abdef8b7a,2
+np.float64,0xbfd5ec7288abd8e6,0xbfdad764df0d2ca1,2
+np.float64,0x7fdc848272b90904,0x408627cb78f3fb9e,2
+np.float64,0x800ed3eda91da7db,0x800ed3eda91da7db,2
+np.float64,0x3fefac64857f58c9,0x3fe60459dbaad1ba,2
+np.float64,0x3fd1df7a5ba3bef4,0x3fcf864a39b926ff,2
+np.float64,0xfe26ca4bfc4da,0xfe26ca4bfc4da,2
+np.float64,0xbfd1099f8da21340,0xbfd3cf6e6efe934b,2
+np.float64,0xbfe15de9a7a2bbd4,0xbfe909cc895f8795,2
+np.float64,0x3fe89714ed712e2a,0x3fe23e40d31242a4,2
+np.float64,0x800387113e470e23,0x800387113e470e23,2
+np.float64,0x3fe4f80730e9f00e,0x3fe0208219314cf1,2
+np.float64,0x2f95a97c5f2b6,0x2f95a97c5f2b6,2
+np.float64,0x800ea7cdd87d4f9c,0x800ea7cdd87d4f9c,2
+np.float64,0xbf64b967c0297300,0xbf64c020a145b7a5,2
+np.float64,0xbfc5a91a342b5234,0xbfc7bafd77a61d81,2
+np.float64,0xbfe2226fe76444e0,0xbfeac33eb1d1b398,2
+np.float64,0x3fc6aaa8d42d5552,0x3fc4de79f5c68cd4,2
+np.float64,0x3fe54fd4c1ea9faa,0x3fe05561a9a5922b,2
+np.float64,0x80029c1f75653840,0x80029c1f75653840,2
+np.float64,0xbfcb4a84a2369508,0xbfceb1a23bac3995,2
+np.float64,0x80010abeff02157f,0x80010abeff02157f,2
+np.float64,0x7f92d12cf825a259,0x40860e49bde3a5b6,2
+np.float64,0x800933e7027267ce,0x800933e7027267ce,2
+np.float64,0x3fc022b12e204562,0x3fbe64acc53ed887,2
+np.float64,0xbfe35f938de6bf27,0xbfedc1f3e443c016,2
+np.float64,0x1f8d9bae3f1b4,0x1f8d9bae3f1b4,2
+np.float64,0x3fe552f22ceaa5e4,0x3fe057404072350f,2
+np.float64,0xbfa73753442e6ea0,0xbfa7c24a100190f1,2
+np.float64,0x7fb3e2982827c52f,0x408619d1efa676b6,2
+np.float64,0xbfd80cb7a5301970,0xbfde28e65f344f33,2
+np.float64,0xbfcde835973bd06c,0xbfd10806fba46c8f,2
+np.float64,0xbfd4e3c749a9c78e,0xbfd949aff65de39c,2
+np.float64,0x3fcb4b9d6f36973b,0x3fc8be02ad6dc0d3,2
+np.float64,0x1a63000034c7,0x1a63000034c7,2
+np.float64,0x7fdc9c751e3938e9,0x408627d22df71959,2
+np.float64,0x3fd74f3f712e9e7f,0x3fd3e07df0c37ec1,2
+np.float64,0xbfceab74d33d56e8,0xbfd187e99bf82903,2
+np.float64,0x7ff0000000000000,0x7ff0000000000000,2
+np.float64,0xbfb2cca466259948,0xbfb3868208e8de30,2
+np.float64,0x800204688b8408d2,0x800204688b8408d2,2
+np.float64,0x3e4547407c8aa,0x3e4547407c8aa,2
+np.float64,0xbfe4668846e8cd10,0xbff03c85189f3818,2
+np.float64,0x800dd350245ba6a0,0x800dd350245ba6a0,2
+np.float64,0xbfbc13c160382780,0xbfbdbd56ce996d16,2
+np.float64,0x7fe25a628a24b4c4,0x408629d06eb2d64d,2
+np.float64,0x3fd19dabbc233b57,0x3fcf1f3ed1d34c8c,2
+np.float64,0x547e20faa8fc5,0x547e20faa8fc5,2
+np.float64,0xbfe19392c6232726,0xbfe97ffe4f303335,2
+np.float64,0x3f87f9f6702ff400,0x3f87d64fb471bb04,2
+np.float64,0x9dfc52db3bf8b,0x9dfc52db3bf8b,2
+np.float64,0x800e1f5a9adc3eb5,0x800e1f5a9adc3eb5,2
+np.float64,0xbfddbd09c8bb7a14,0xbfe3fed7d7cffc70,2
+np.float64,0xbfeda71af87b4e36,0xc004e6631c514544,2
+np.float64,0xbfdbfcfe1bb7f9fc,0xbfe266b5d4a56265,2
+np.float64,0x3fe4ee78cd69dcf2,0x3fe01abba4e81fc9,2
+np.float64,0x800f13b820de2770,0x800f13b820de2770,2
+np.float64,0x3f861e09702c3c00,0x3f85ffae83b02c4f,2
+np.float64,0xbfc0972479212e48,0xbfc1c4bf70b30cbc,2
+np.float64,0x7fef057ef57e0afd,0x40862e036479f6a9,2
+np.float64,0x8bdbabe517b76,0x8bdbabe517b76,2
+np.float64,0xbfec495417f892a8,0xc0013ade88746d18,2
+np.float64,0x3fec680ab3f8d015,0x3fe454dd304b560d,2
+np.float64,0xbfae7ce60c3cf9d0,0xbfaf6eef15bbe56b,2
+np.float64,0x3fec314124786282,0x3fe437ca06294f5a,2
+np.float64,0x7fd5ed05b82bda0a,0x408625b125518e58,2
+np.float64,0x3feac9f02f3593e0,0x3fe3768104dd5cb7,2
+np.float64,0x0,0x0,2
+np.float64,0xbfddd2abd5bba558,0xbfe41312b8ea20de,2
+np.float64,0xbfedf9558c7bf2ab,0xc00613c53e0bb33a,2
+np.float64,0x3fef245ffefe48c0,0x3fe5bfb4dfe3b7a5,2
+np.float64,0x7fe178604922f0c0,0x4086296b77d5eaef,2
+np.float64,0x10000000000000,0x10000000000000,2
+np.float64,0x7fed026766ba04ce,0x40862d7a0dc45643,2
+np.float64,0xbfde27d8c3bc4fb2,0xbfe46336b6447697,2
+np.float64,0x3fe9485d9cb290bb,0x3fe2a1e4b6419423,2
+np.float64,0xbfe27b8a7464f715,0xbfeb9382f5b16f65,2
+np.float64,0x5c34d274b869b,0x5c34d274b869b,2
+np.float64,0xbfeee0b7453dc16f,0xc00acdb46459b6e6,2
+np.float64,0x7fe3dfb4d4e7bf69,0x40862a73785fdf12,2
+np.float64,0xb4635eef68c6c,0xb4635eef68c6c,2
+np.float64,0xbfe522a2c82a4546,0xbff148912a59a1d6,2
+np.float64,0x8009ba38a9737472,0x8009ba38a9737472,2
+np.float64,0xbfc056ff3820ae00,0xbfc17b2205fa180d,2
+np.float64,0x7fe1c8b8a0239170,0x4086298feeee6133,2
+np.float64,0x3fe2d2c6b9e5a58e,0x3fdd9b907471031b,2
+np.float64,0x3fa0a161bc2142c0,0x3fa05db36f6a073b,2
+np.float64,0x3fdef4268ebde84c,0x3fd93f980794d1e7,2
+np.float64,0x800ecd9fe2fd9b40,0x800ecd9fe2fd9b40,2
+np.float64,0xbfc9fbd45e33f7a8,0xbfcd0afc47c340f6,2
+np.float64,0x3fe8c3035b718606,0x3fe2570eb65551a1,2
+np.float64,0xbfe78c4ad2ef1896,0xbff54d25b3328742,2
+np.float64,0x8006f5dcf8adebbb,0x8006f5dcf8adebbb,2
+np.float64,0x800301dca2a603ba,0x800301dca2a603ba,2
+np.float64,0xad4289e55a851,0xad4289e55a851,2
+np.float64,0x80037764f9e6eecb,0x80037764f9e6eecb,2
+np.float64,0xbfe73575b26e6aec,0xbff4abfb5e985c62,2
+np.float64,0xbfc6cb91652d9724,0xbfc91a8001b33ec2,2
+np.float64,0xbfe3a918ffe75232,0xbfee7e6e4fd34c53,2
+np.float64,0x9bc84e2b3790a,0x9bc84e2b3790a,2
+np.float64,0x7fdeec303cbdd85f,0x408628714a49d996,2
+np.float64,0x3fe1d1dcb763a3ba,0x3fdc54ce060dc7f4,2
+np.float64,0x8008ae6432b15cc9,0x8008ae6432b15cc9,2
+np.float64,0x3fd8022fa2b00460,0x3fd46322bf02a609,2
+np.float64,0xbfc55b64472ab6c8,0xbfc75d9568f462e0,2
+np.float64,0xbfe8b165437162ca,0xbff7a15e2ead645f,2
+np.float64,0x7f759330feeb3,0x7f759330feeb3,2
+np.float64,0xbfd504f68eaa09ee,0xbfd97b06c01d7473,2
+np.float64,0x54702d5aa8e06,0x54702d5aa8e06,2
+np.float64,0xbfed1779337a2ef2,0xc0032f7109ef5a51,2
+np.float64,0xe248bd4dc4918,0xe248bd4dc4918,2
+np.float64,0xbfd8c59150318b22,0xbfdf53bca6ca8b1e,2
+np.float64,0xbfe3b9d942e773b2,0xbfeea9fcad277ba7,2
+np.float64,0x800934ec127269d9,0x800934ec127269d9,2
+np.float64,0xbfbb7f535a36fea8,0xbfbd16d61b6c52b8,2
+np.float64,0xccb185a199631,0xccb185a199631,2
+np.float64,0x3fe3dda76fe7bb4e,0x3fdee83bc6094301,2
+np.float64,0xbfe0c902f5e19206,0xbfe7ca7c0e888006,2
+np.float64,0xbfefeed08cbfdda1,0xc018aadc483c8724,2
+np.float64,0x7fd0c05c52a180b8,0x40862389daf64aac,2
+np.float64,0xbfd28e3323a51c66,0xbfd5e9ba278fb685,2
+np.float64,0xbef4103b7de82,0xbef4103b7de82,2
+np.float64,0x3fe7661fd12ecc40,0x3fe18ff7dfb696e2,2
+np.float64,0x3fddd5f2f0bbabe4,0x3fd87d8bb6719c3b,2
+np.float64,0x800b3914cfd6722a,0x800b3914cfd6722a,2
+np.float64,0xf3f09a97e7e14,0xf3f09a97e7e14,2
+np.float64,0x7f97092b502e1256,0x40860fe8054cf54e,2
+np.float64,0xbfdbec7917b7d8f2,0xbfe2580b4b792c79,2
+np.float64,0x7fe7ff215aaffe42,0x40862bf5887fa062,2
+np.float64,0x80080186e570030e,0x80080186e570030e,2
+np.float64,0xbfc27f05e624fe0c,0xbfc3fa214be4adc4,2
+np.float64,0x3fe4481be1689038,0x3fdf6b11e9c4ca72,2
+np.float64,0x3fd642cc9cac8598,0x3fd31a857fe70227,2
+np.float64,0xbef8782d7df0f,0xbef8782d7df0f,2
+np.float64,0x8003077dc2e60efc,0x8003077dc2e60efc,2
+np.float64,0x80083eb5a2507d6c,0x80083eb5a2507d6c,2
+np.float64,0x800e8d1eb77d1a3e,0x800e8d1eb77d1a3e,2
+np.float64,0xbfc7737cd22ee6f8,0xbfc9e7716f03f1fc,2
+np.float64,0xbfe9a2b4ddf3456a,0xbff9d71664a8fc78,2
+np.float64,0x7fe67c7d322cf8f9,0x40862b7066465194,2
+np.float64,0x3fec080ce2b8101a,0x3fe421dac225be46,2
+np.float64,0xbfe6d27beb6da4f8,0xbff3fbb1add521f7,2
+np.float64,0x3fdd4f96ceba9f2e,0x3fd821a638986dbe,2
+np.float64,0x3fbd89f1303b13e2,0x3fbbf49223a9d002,2
+np.float64,0xbfe94e2b9d329c57,0xbff907e549c534f5,2
+np.float64,0x3fe2f2cc51e5e599,0x3fddc3d6b4a834a1,2
+np.float64,0xfdcb5b49fb96c,0xfdcb5b49fb96c,2
+np.float64,0xbfea7108fa74e212,0xbffc01b392f4897b,2
+np.float64,0x3fd38baef7a7175c,0x3fd10e7fd3b958dd,2
+np.float64,0x3fa75bf9cc2eb800,0x3fa6d792ecdedb8e,2
+np.float64,0x7fd19fd20aa33fa3,0x408623f1e2cd04c3,2
+np.float64,0x3fd62c708dac58e0,0x3fd309ec7818d16e,2
+np.float64,0x3fdf489047be9120,0x3fd978640617c758,2
+np.float64,0x1,0x1,2
+np.float64,0xbfe21e7c3ea43cf8,0xbfeaba21320697d3,2
+np.float64,0xbfd3649047a6c920,0xbfd71a6f14223744,2
+np.float64,0xbfd68ca68c2d194e,0xbfdbcce6784e5d44,2
+np.float64,0x3fdb26b0ea364d62,0x3fd6a1f86f64ff74,2
+np.float64,0xbfd843821cb08704,0xbfde80e90805ab3f,2
+np.float64,0x3fd508a27aaa1144,0x3fd22fc203a7b9d8,2
+np.float64,0xbfdb951c7eb72a38,0xbfe20aeaec13699b,2
+np.float64,0x3fef556ba57eaad7,0x3fe5d8865cce0a6d,2
+np.float64,0x3fd0d224b3a1a448,0x3fcdde7be5d7e21e,2
+np.float64,0x8007ff272baffe4f,0x8007ff272baffe4f,2
+np.float64,0x3fe1c7bddf638f7c,0x3fdc47cc6cf2f5cd,2
+np.float64,0x7ff8000000000000,0x7ff8000000000000,2
+np.float64,0x2016d560402f,0x2016d560402f,2
+np.float64,0xbfcca10be9394218,0xbfd033f36b94fc54,2
+np.float64,0xbfdb833628b7066c,0xbfe1fb344b840c70,2
+np.float64,0x3fd8529cb3b0a539,0x3fd49d847fe77218,2
+np.float64,0xbfc0b0ebab2161d8,0xbfc1e260c60ffd1b,2
+np.float64,0xbfea8b9a79f51735,0xbffc4ee6be8a0fa2,2
+np.float64,0x7feca8fab7f951f4,0x40862d613e454646,2
+np.float64,0x7fd8c52d82318a5a,0x408626aaf37423a3,2
+np.float64,0xbfe364ad4526c95a,0xbfedcee39bc93ff5,2
+np.float64,0x800b78161256f02d,0x800b78161256f02d,2
+np.float64,0xbfd55f0153aabe02,0xbfda01a78f72d494,2
+np.float64,0x800315a5f0662b4d,0x800315a5f0662b4d,2
+np.float64,0x7fe4c0dca02981b8,0x40862acc27e4819f,2
+np.float64,0x8009825c703304b9,0x8009825c703304b9,2
+np.float64,0x3fe6e94e1cadd29c,0x3fe1478ccc634f49,2
+np.float64,0x7fe622d8586c45b0,0x40862b504177827e,2
+np.float64,0x3fe4458600688b0c,0x3fdf67e79a84b953,2
+np.float64,0xbfdd75d8a1baebb2,0xbfe3bc9e6ca1bbb5,2
+np.float64,0x3fde789c6bbcf138,0x3fd8ec1d435531b3,2
+np.float64,0x3fe7052b94ee0a58,0x3fe157c5c4418dc1,2
+np.float64,0x7fef31652abe62c9,0x40862e0eaeabcfc0,2
+np.float64,0x3fe279691ee4f2d2,0x3fdd2aa41eb43cd4,2
+np.float64,0xbfd533fa95aa67f6,0xbfd9c12f516d29d7,2
+np.float64,0x3fe6d057f96da0b0,0x3fe138fd96693a6a,2
+np.float64,0x800bad984f775b31,0x800bad984f775b31,2
+np.float64,0x7fdd6fdba4badfb6,0x4086280c73d8ef97,2
+np.float64,0x7fe9b5c0eef36b81,0x40862c82c6f57a53,2
+np.float64,0x8000bc02ece17807,0x8000bc02ece17807,2
+np.float64,0xbff0000000000000,0xfff0000000000000,2
+np.float64,0xbfed430be3fa8618,0xc003aaf338c75b3c,2
+np.float64,0x3fee17b759fc2f6f,0x3fe53668696bf48b,2
+np.float64,0x3f8d4cf9d03a9a00,0x3f8d17d2f532afdc,2
+np.float64,0x8005d6257b8bac4c,0x8005d6257b8bac4c,2
+np.float64,0xbfd17a6df9a2f4dc,0xbfd469e3848adc6e,2
+np.float64,0xb28a293965145,0xb28a293965145,2
+np.float64,0xbfe7d011e42fa024,0xbff5cf818998c8ec,2
+np.float64,0xbfe74f0f136e9e1e,0xbff4dad6ebb0443c,2
+np.float64,0x800f249fc9be4940,0x800f249fc9be4940,2
+np.float64,0x2542f8fe4a860,0x2542f8fe4a860,2
+np.float64,0xc48d40cd891a8,0xc48d40cd891a8,2
+np.float64,0x3fe4e64bc8e9cc98,0x3fe015c9eb3caa53,2
+np.float64,0x3fd33881eca67104,0x3fd0cea886be2457,2
+np.float64,0xbfd01748fba02e92,0xbfd28875959e6901,2
+np.float64,0x7fb7ab01f22f5603,0x40861b369927bf53,2
+np.float64,0xbfe340274ce6804e,0xbfed72b39f0ebb24,2
+np.float64,0x7fc16c0c3422d817,0x40861e4eaf1a286c,2
+np.float64,0x3fc26944a324d288,0x3fc133a77b356ac4,2
+np.float64,0xa149d7134293b,0xa149d7134293b,2
+np.float64,0x800837382d106e71,0x800837382d106e71,2
+np.float64,0x797d1740f2fa4,0x797d1740f2fa4,2
+np.float64,0xc3f15b7787e2c,0xc3f15b7787e2c,2
+np.float64,0x80cad1b90195a,0x80cad1b90195a,2
+np.float64,0x3fdd8f1142bb1e23,0x3fd84d21490d1ce6,2
+np.float64,0xbfbde6c9123bcd90,0xbfbfcc030a86836a,2
+np.float64,0x8007f77e032feefd,0x8007f77e032feefd,2
+np.float64,0x3fe74fed1c6e9fda,0x3fe18322cf19cb61,2
+np.float64,0xbfd8a40bbcb14818,0xbfdf1d23520ba74b,2
+np.float64,0xbfeb7a0e6076f41d,0xbfff4ddfb926efa5,2
+np.float64,0xbfcb8c5f663718c0,0xbfcf0570f702bda9,2
+np.float64,0xf668cd97ecd1a,0xf668cd97ecd1a,2
+np.float64,0xbfe92accf572559a,0xbff8b4393878ffdb,2
+np.float64,0xbfeaa955567552ab,0xbffca70c7d73eee5,2
+np.float64,0xbfe083a14f610742,0xbfe739d84bc35077,2
+np.float64,0x78290568f0521,0x78290568f0521,2
+np.float64,0x3fe94bae2372975c,0x3fe2a3beac5c9858,2
+np.float64,0x3fca4fbab9349f78,0x3fc7edbca2492acb,2
+np.float64,0x8000000000000000,0x8000000000000000,2
+np.float64,0x7fb9eb505433d6a0,0x40861bf0adedb74d,2
+np.float64,0x7fdc66f72a38cded,0x408627c32aeecf0f,2
+np.float64,0x2e8e6f445d1cf,0x2e8e6f445d1cf,2
+np.float64,0xbfec43195af88633,0xc0012d7e3f91b7e8,2
+np.float64,0x7fcdb971e93b72e3,0x40862294c9e3a7bc,2
+np.float64,0x800cabc461195789,0x800cabc461195789,2
+np.float64,0x2c79709c58f2f,0x2c79709c58f2f,2
+np.float64,0x8005d772d3cbaee6,0x8005d772d3cbaee6,2
+np.float64,0x3fe84d8c03709b18,0x3fe21490ce3673dd,2
+np.float64,0x7fe5578adc2aaf15,0x40862b056e8437d4,2
+np.float64,0xbf91298c58225320,0xbf914ec86c32d11f,2
+np.float64,0xc7ed2b6d8fda6,0xc7ed2b6d8fda6,2
+np.float64,0x2761404c4ec29,0x2761404c4ec29,2
+np.float64,0x3fbad3c48835a789,0x3fb9833c02385305,2
+np.float64,0x3fa46fee5428dfe0,0x3fa40a357fb24c23,2
+np.float64,0xbfe3900c6fe72019,0xbfee3dba29dd9d43,2
+np.float64,0x3fe7a9e41a6f53c8,0x3fe1b704dfb9884b,2
+np.float64,0xbfe74a7a1eee94f4,0xbff4d269cacb1f29,2
+np.float64,0xbfee609c72fcc139,0xc007da8499d34123,2
+np.float64,0x3fef2d5fc23e5ac0,0x3fe5c44414e59cb4,2
+np.float64,0xbfd7bdc0402f7b80,0xbfddaae1e7bb78fb,2
+np.float64,0xd71ee01dae3dc,0xd71ee01dae3dc,2
+np.float64,0x3fe98cbcdef3197a,0x3fe2c7ffe33c4541,2
+np.float64,0x8000f8dbb3a1f1b8,0x8000f8dbb3a1f1b8,2
+np.float64,0x3fe3e98ad567d316,0x3fdef6e58058313f,2
+np.float64,0x41ad0bfc835a2,0x41ad0bfc835a2,2
+np.float64,0x7fdcc2dc0d3985b7,0x408627dce39f77af,2
+np.float64,0xbfe47b980de8f730,0xbff059acdccd6e2b,2
+np.float64,0xbfef49b6577e936d,0xc00e714f46b2ccc1,2
+np.float64,0x3fac31816c386300,0x3fab71cb92b0db8f,2
+np.float64,0x3fe59097e76b2130,0x3fe07c299fd1127c,2
+np.float64,0xbfecf0df5cf9e1bf,0xc002c7ebdd65039c,2
+np.float64,0x3fd2b7d0b6a56fa1,0x3fd06b638990ae02,2
+np.float64,0xbfeb68deecf6d1be,0xbfff1187e042d3e4,2
+np.float64,0x3fd44a9771a8952f,0x3fd1a01867c5e302,2
+np.float64,0xf79a9dedef354,0xf79a9dedef354,2
+np.float64,0x800c25a170d84b43,0x800c25a170d84b43,2
+np.float64,0x3ff0000000000000,0x3fe62e42fefa39ef,2
+np.float64,0x3fbff4f7623fe9f0,0x3fbe1d3878f4c417,2
+np.float64,0xd284c845a5099,0xd284c845a5099,2
+np.float64,0xbfe3c7815f678f02,0xbfeecdab5ca2e651,2
+np.float64,0x3fc19c934e233927,0x3fc08036104b1f23,2
+np.float64,0x800b6096de16c12e,0x800b6096de16c12e,2
+np.float64,0xbfe962a67e32c54d,0xbff9392313a112a1,2
+np.float64,0x2b9d0116573a1,0x2b9d0116573a1,2
+np.float64,0x3fcab269ed3564d4,0x3fc83f7e1c3095b7,2
+np.float64,0x3fc8c78d86318f1b,0x3fc6a6cde5696f99,2
+np.float64,0xd5b1e9b5ab63d,0xd5b1e9b5ab63d,2
+np.float64,0xbfed802a47fb0054,0xc00465cad3b5b0ef,2
+np.float64,0xbfd73aaf08ae755e,0xbfdcdbd62b8af271,2
+np.float64,0xbfd4f13c0229e278,0xbfd95dacff79e570,2
+np.float64,0xbfe9622808f2c450,0xbff937f13c397e8d,2
+np.float64,0xbfeddfa62efbbf4c,0xc005b0c835eed829,2
+np.float64,0x3fd65663d4acacc8,0x3fd3290cd0e675dc,2
+np.float64,0x8005e890f1abd123,0x8005e890f1abd123,2
+np.float64,0xbfe924919fb24923,0xbff8a5a827a28756,2
+np.float64,0x3fe8cdf490719be9,0x3fe25d39535e8366,2
+np.float64,0x7fc229e6ff2453cd,0x40861ea40ef87a5a,2
+np.float64,0x3fe5cf53ceeb9ea8,0x3fe0a18e0b65f27e,2
+np.float64,0xa79cf6fb4f39f,0xa79cf6fb4f39f,2
+np.float64,0x7fddbb3c0f3b7677,0x40862820d5edf310,2
+np.float64,0x3e1011de7c203,0x3e1011de7c203,2
+np.float64,0x3fc0b59a83216b38,0x3fbf6916510ff411,2
+np.float64,0x8647f98d0c8ff,0x8647f98d0c8ff,2
+np.float64,0x8005dad33ecbb5a7,0x8005dad33ecbb5a7,2
+np.float64,0x8a80d0631501a,0x8a80d0631501a,2
+np.float64,0xbfe18f7d6ee31efb,0xbfe976f06713afc1,2
+np.float64,0xbfe06eaed560dd5e,0xbfe70eac696933e6,2
+np.float64,0xbfed8ef93c7b1df2,0xc00495bfa3195b53,2
+np.float64,0x3febe9c24677d385,0x3fe411b10db16c42,2
+np.float64,0x7fd5d80c1fabb017,0x408625a97a7787ba,2
+np.float64,0x3fca79b59334f368,0x3fc8108a521341dc,2
+np.float64,0xbfccf8db4339f1b8,0xbfd06c9a5424aadb,2
+np.float64,0xbfea5ac5a574b58b,0xbffbc21d1405d840,2
+np.float64,0x800ce2bf4b19c57f,0x800ce2bf4b19c57f,2
+np.float64,0xbfe8df896d31bf13,0xbff807ab38ac41ab,2
+np.float64,0x3feab83da9f5707c,0x3fe36cdd827c0eff,2
+np.float64,0x3fee717683bce2ed,0x3fe564879171719b,2
+np.float64,0x80025e5577c4bcac,0x80025e5577c4bcac,2
+np.float64,0x3fe3e5378e67ca70,0x3fdef1902c5d1efd,2
+np.float64,0x3fa014bb7c202980,0x3f9faacf9238d499,2
+np.float64,0x3fddbf5e16bb7ebc,0x3fd86e2311cb0f6d,2
+np.float64,0x3fd24e50e6a49ca0,0x3fd0198f04f82186,2
+np.float64,0x656b5214cad6b,0x656b5214cad6b,2
+np.float64,0x8b0a4bfd1614a,0x8b0a4bfd1614a,2
+np.float64,0xbfeeb6bd9e7d6d7b,0xc009b669285e319e,2
+np.float64,0x8000000000000001,0x8000000000000001,2
+np.float64,0xbfe719feceee33fe,0xbff47a4c8cbf0cca,2
+np.float64,0xbfd14fa8c8a29f52,0xbfd42f27b1aced39,2
+np.float64,0x7fec9dcb80f93b96,0x40862d5e1e70bbb9,2
+np.float64,0x7fecacb826f9596f,0x40862d6249746915,2
+np.float64,0x973459f52e68b,0x973459f52e68b,2
+np.float64,0x7f40a59e00214b3b,0x4085f194f45f82b1,2
+np.float64,0x7fc5dbaec32bb75d,0x4086201f3e7065d9,2
+np.float64,0x82d0801305a10,0x82d0801305a10,2
+np.float64,0x7fec81c0f4790381,0x40862d5643c0fc85,2
+np.float64,0xbfe2d81e9ee5b03d,0xbfec71a8e864ea40,2
+np.float64,0x6c545c9ad8a8c,0x6c545c9ad8a8c,2
+np.float64,0x3f9be95a5037d2b5,0x3f9b89b48ac8f5d8,2
+np.float64,0x8000cae9702195d4,0x8000cae9702195d4,2
+np.float64,0xbfd375f45126ebe8,0xbfd733677e54a80d,2
+np.float64,0x3fd29a5b81a534b7,0x3fd05494bf200278,2
+np.float64,0xfff0000000000000,0xfff8000000000000,2
+np.float64,0x7fca8fc195351f82,0x408621ae61aa6c13,2
+np.float64,0x1b28e2ae3651d,0x1b28e2ae3651d,2
+np.float64,0x3fe7fdbd14effb7a,0x3fe1e714884b46a8,2
+np.float64,0x3fdf1ce068be39c0,0x3fd95b054e0fad3d,2
+np.float64,0x3fe79f9a636f3f34,0x3fe1b11a40c00b3e,2
+np.float64,0x3fe60eb7036c1d6e,0x3fe0c72a02176874,2
+np.float64,0x229da17e453b5,0x229da17e453b5,2
+np.float64,0x3fc1a921b5235240,0x3fc08b3f35e47fb1,2
+np.float64,0xbb92d2af7725b,0xbb92d2af7725b,2
+np.float64,0x3fe4110cb1e8221a,0x3fdf2787de6c73f7,2
+np.float64,0xbfbc87771a390ef0,0xbfbe3f6e95622363,2
+np.float64,0xbfe74025dfee804c,0xbff4bf7b1895e697,2
+np.float64,0x964eb6592c9d7,0x964eb6592c9d7,2
+np.float64,0x3f951689b82a2d00,0x3f94dfb38d746fdf,2
+np.float64,0x800356271be6ac4f,0x800356271be6ac4f,2
+np.float64,0x7fefffffffffffff,0x40862e42fefa39ef,2
+np.float64,0xbfed5ce250fab9c5,0xc003f7ddfeb94345,2
+np.float64,0x3fec3d5dc1387abc,0x3fe43e39c02d86f4,2
+np.float64,0x3999897e73332,0x3999897e73332,2
+np.float64,0xbfdcb57744b96aee,0xbfe30c4b98f3d088,2
+np.float64,0x7f961fb0b82c3f60,0x40860f9549c3a380,2
+np.float64,0x67d6efcacfadf,0x67d6efcacfadf,2
+np.float64,0x8002c9498f859294,0x8002c9498f859294,2
+np.float64,0xbfa3033800260670,0xbfa35fe3bf43e188,2
+np.float64,0xbfeab2fc157565f8,0xbffcc413c486b4eb,2
+np.float64,0x3fe25e62f364bcc6,0x3fdd0856e19e3430,2
+np.float64,0x7fb2f42dda25e85b,0x4086196fb34a65fd,2
+np.float64,0x3fe0f1a5af61e34c,0x3fdb3235a1786efb,2
+np.float64,0x800a340ca1f4681a,0x800a340ca1f4681a,2
+np.float64,0x7c20b9def8418,0x7c20b9def8418,2
+np.float64,0xdf0842a1be109,0xdf0842a1be109,2
+np.float64,0x3fe9f22cc2f3e45a,0x3fe300359b842bf0,2
+np.float64,0x3fe389ed73e713da,0x3fde809780fe4432,2
+np.float64,0x9500fb932a020,0x9500fb932a020,2
+np.float64,0x3fd8a21ffdb14440,0x3fd4d70862345d86,2
+np.float64,0x800d99c15cbb3383,0x800d99c15cbb3383,2
+np.float64,0x3fd96c98c932d932,0x3fd568959c9b028f,2
+np.float64,0x7fc228483a24508f,0x40861ea358420976,2
+np.float64,0x7fc6737bef2ce6f7,0x408620560ffc6a98,2
+np.float64,0xbfb2c27cee2584f8,0xbfb37b8cc7774b5f,2
+np.float64,0xbfd18409f9230814,0xbfd4771d1a9a24fb,2
+np.float64,0x3fb53cb3f42a7968,0x3fb466f06f88044b,2
+np.float64,0x3fef61d0187ec3a0,0x3fe5dec8a9d13dd9,2
+np.float64,0x3fe59a6ffd2b34e0,0x3fe0820a99c6143d,2
+np.float64,0x3fce18aff43c3160,0x3fcb07c7b523f0d1,2
+np.float64,0xbfb1319a62226338,0xbfb1cc62f31b2b40,2
+np.float64,0xa00cce6d4019a,0xa00cce6d4019a,2
+np.float64,0x80068ae8e0ed15d3,0x80068ae8e0ed15d3,2
+np.float64,0x3fecef353239de6a,0x3fe49c280adc607b,2
+np.float64,0x3fdf1a7fb0be34ff,0x3fd9596bafe2d766,2
+np.float64,0x3feb5e12eeb6bc26,0x3fe3c6be3ede8d07,2
+np.float64,0x3fdeff5cd43dfeba,0x3fd947262ec96b05,2
+np.float64,0x3f995e75e832bd00,0x3f990f511f4c7f1c,2
+np.float64,0xbfeb5b3ed0b6b67e,0xbffee24fc0fc2881,2
+np.float64,0x7fb82aad0a305559,0x40861b614d901182,2
+np.float64,0xbfe5c3a4926b8749,0xbff23cd0ad144fe6,2
+np.float64,0x3fef47da373e8fb4,0x3fe5d1aaa4031993,2
+np.float64,0x7fc6a8c3872d5186,0x40862068f5ca84be,2
+np.float64,0x7fc0c2276221844e,0x40861dff2566d001,2
+np.float64,0x7fc9ce7d28339cf9,0x40862173541f84d1,2
+np.float64,0x3fce2c34933c5869,0x3fcb179428ad241d,2
+np.float64,0xbfcf864c293f0c98,0xbfd21872c4821cfc,2
+np.float64,0x3fc51fd1f82a3fa4,0x3fc38d4f1685c166,2
+np.float64,0xbfe2707b70a4e0f7,0xbfeb795fbd5bb444,2
+np.float64,0x46629b568cc54,0x46629b568cc54,2
+np.float64,0x7fe5f821f32bf043,0x40862b40c2cdea3f,2
+np.float64,0x3fedd2c9457ba592,0x3fe512ce92394526,2
+np.float64,0x7fe6dcb8ceadb971,0x40862b925a7dc05d,2
+np.float64,0x3fd1b983b4a37307,0x3fcf4ae2545cf64e,2
+np.float64,0xbfe1c93104639262,0xbfe9f7d28e4c0c82,2
+np.float64,0x995ebc2932bd8,0x995ebc2932bd8,2
+np.float64,0x800a4c3ee614987e,0x800a4c3ee614987e,2
+np.float64,0x3fbb58766e36b0f0,0x3fb9fb3b9810ec16,2
+np.float64,0xbfe36d636666dac7,0xbfede5080f69053c,2
+np.float64,0x3f4feee1003fddc2,0x3f4feae5f05443d1,2
+np.float64,0x3fed0b772ffa16ee,0x3fe4aafb924903c6,2
+np.float64,0x800bb3faef3767f6,0x800bb3faef3767f6,2
+np.float64,0x3fe285cda5e50b9c,0x3fdd3a58df06c427,2
+np.float64,0x7feb9d560bb73aab,0x40862d152362bb94,2
+np.float64,0x3fecd1f447f9a3e9,0x3fe48cc78288cb3f,2
+np.float64,0x3fca927b0c3524f6,0x3fc8250f49ba28df,2
+np.float64,0x7fcc19944e383328,0x40862221b02fcf43,2
+np.float64,0xbfd8ddf41db1bbe8,0xbfdf7b92073ff2fd,2
+np.float64,0x80006fe736e0dfcf,0x80006fe736e0dfcf,2
+np.float64,0x800bbeb66d577d6d,0x800bbeb66d577d6d,2
+np.float64,0xbfe4329353e86526,0xbfefeaf19ab92b42,2
+np.float64,0x2fad72805f5af,0x2fad72805f5af,2
+np.float64,0x3fe1b827aa637050,0x3fdc33bf46012c0d,2
+np.float64,0x3fc3f3f8e227e7f2,0x3fc28aeb86d65278,2
+np.float64,0x3fec018933780312,0x3fe41e619aa4285c,2
+np.float64,0xbfd92428e0b24852,0xbfdfeecb08d154df,2
+np.float64,0x2d7046845ae0a,0x2d7046845ae0a,2
+np.float64,0x7fde7fd2233cffa3,0x408628550f8a948f,2
+np.float64,0x8000a32cd241465a,0x8000a32cd241465a,2
+np.float64,0x8004267a45084cf5,0x8004267a45084cf5,2
+np.float64,0xbfe6b422556d6844,0xbff3c71f67661e6e,2
+np.float64,0x3fe3a37d922746fb,0x3fdea04e04d6195c,2
+np.float64,0xbfddcc54b53b98aa,0xbfe40d2389cdb848,2
+np.float64,0x3fe18b4b92a31697,0x3fdbf9e68cbf5794,2
+np.float64,0x7fc9c5b2ee338b65,0x408621709a17a47a,2
+np.float64,0x1ebd1ce03d7b,0x1ebd1ce03d7b,2
+np.float64,0x8008a6fc39d14df9,0x8008a6fc39d14df9,2
+np.float64,0x3fec11384c782270,0x3fe426bdaedd2965,2
+np.float64,0x3fefc28344ff8507,0x3fe60f75d34fc3d2,2
+np.float64,0xc35f379786be7,0xc35f379786be7,2
+np.float64,0x3feef51f4a7dea3e,0x3fe5a7b95d7786b5,2
+np.float64,0x3fec9b9f0379373e,0x3fe4702477abbb63,2
+np.float64,0x3fde94f8cdbd29f0,0x3fd8ff50f7df0a6f,2
+np.float64,0xbfed32d1cdfa65a4,0xc0037c1470f6f979,2
+np.float64,0x800d3ba44f5a7749,0x800d3ba44f5a7749,2
+np.float64,0x3fe3c56c8fe78ad9,0x3fdeca4eb9bb8918,2
+np.float64,0xbfe7c97242ef92e4,0xbff5c2950dfd6f69,2
+np.float64,0xbd9440057b288,0xbd9440057b288,2
+np.float64,0x7feb2fc111f65f81,0x40862cf524bd2001,2
+np.float64,0x800a431e2df4863d,0x800a431e2df4863d,2
+np.float64,0x80038a3b79e71478,0x80038a3b79e71478,2
+np.float64,0x80000c93d4601928,0x80000c93d4601928,2
+np.float64,0x7fe9fec022f3fd7f,0x40862c995db8ada0,2
+np.float64,0x3fead0129c35a025,0x3fe379d7a92c8f79,2
+np.float64,0x3fdd8cbaf7bb1974,0x3fd84b87ff0c26c7,2
+np.float64,0x3fe8fb7c60b1f6f9,0x3fe276d5339e7135,2
+np.float64,0x85a255e10b44b,0x85a255e10b44b,2
+np.float64,0xbfe507c23fea0f84,0xbff1212d2260022a,2
+np.float64,0x3fc5487c7b2a90f9,0x3fc3b03222d3d148,2
+np.float64,0x7fec0bdcb8f817b8,0x40862d34e8fd11e7,2
+np.float64,0xbfc5f34b4f2be698,0xbfc8146a899c7a0c,2
+np.float64,0xbfa2a49c14254940,0xbfa2fdab2eae3826,2
+np.float64,0x800ec52f15dd8a5e,0x800ec52f15dd8a5e,2
+np.float64,0xbfe3ba4b12a77496,0xbfeeab256b3e9422,2
+np.float64,0x80034d6c7ba69ada,0x80034d6c7ba69ada,2
+np.float64,0x7fd394d4202729a7,0x408624c98a216742,2
+np.float64,0xbfd4493a38289274,0xbfd865d67af2de91,2
+np.float64,0xe47d6203c8fad,0xe47d6203c8fad,2
+np.float64,0x98eb4e4b31d6a,0x98eb4e4b31d6a,2
+np.float64,0x4507fb128a100,0x4507fb128a100,2
+np.float64,0xbfc77032e42ee064,0xbfc9e36ab747a14d,2
+np.float64,0xa1f8a03b43f14,0xa1f8a03b43f14,2
+np.float64,0xbfc3d4da8527a9b4,0xbfc58c27af2476b0,2
+np.float64,0x3fc0eb7d6921d6fb,0x3fbfc858a077ed61,2
+np.float64,0x7fddb2e9403b65d2,0x4086281e98443709,2
+np.float64,0xbfa7ea62942fd4c0,0xbfa87dfd06b05d2a,2
+np.float64,0xbfe7d5c5426fab8a,0xbff5daa969c6d9e5,2
+np.float64,0x3fbf7cba0c3ef974,0x3fbdb23cd8fe875b,2
+np.float64,0x7fe92021eb324043,0x40862c53aee8b154,2
+np.float64,0x7fefbaa1827f7542,0x40862e3194737072,2
+np.float64,0x3fc6f82c402df059,0x3fc520432cbc533f,2
+np.float64,0x7fb37679a826ecf2,0x408619a5f857e27f,2
+np.float64,0x79ec1528f3d83,0x79ec1528f3d83,2
+np.float64,0x3fbefe1d0c3dfc3a,0x3fbd41650ba2c893,2
+np.float64,0x3fc3e5e11827cbc2,0x3fc27eb9b47c9c42,2
+np.float64,0x16aed1922d5db,0x16aed1922d5db,2
+np.float64,0x800124f7e58249f1,0x800124f7e58249f1,2
+np.float64,0x8004f7d12489efa3,0x8004f7d12489efa3,2
+np.float64,0x3fef80b8e27f0172,0x3fe5ee5fd43322c6,2
+np.float64,0xbfe7740c88eee819,0xbff51f823c8da14d,2
+np.float64,0xbfe6e1f1f6edc3e4,0xbff416bcb1302e7c,2
+np.float64,0x8001a2c4a7e3458a,0x8001a2c4a7e3458a,2
+np.float64,0x3fe861e155f0c3c2,0x3fe2201d3000c329,2
+np.float64,0x3fd00a101a201420,0x3fcca01087dbd728,2
+np.float64,0x7fdf0eb1133e1d61,0x4086287a327839b8,2
+np.float64,0x95e3ffdb2bc80,0x95e3ffdb2bc80,2
+np.float64,0x3fd87a1e8230f43d,0x3fd4ba1eb9be1270,2
+np.float64,0x3fedc4792afb88f2,0x3fe50b6529080f73,2
+np.float64,0x7fc9e81fa833d03e,0x4086217b428cc6ff,2
+np.float64,0xbfd21f1ba5a43e38,0xbfd54e048b988e09,2
+np.float64,0xbfbf52af5a3ea560,0xbfc0b4ab3b81fafc,2
+np.float64,0x7fe475f8e268ebf1,0x40862aaf14fee029,2
+np.float64,0x3fcf56899f3ead10,0x3fcc081de28ae9cf,2
+np.float64,0x917d407122fa8,0x917d407122fa8,2
+np.float64,0x22e23e3245c49,0x22e23e3245c49,2
+np.float64,0xbfeec2814f3d8503,0xc00a00ecca27b426,2
+np.float64,0xbfd97fee1c32ffdc,0xbfe04351dfe306ec,2

evalkit_tf437/lib/python3.10/site-packages/numpy/core/tests/data/umath-validation-set-log2.csv

@@ -0,0 +1,1629 @@
+dtype,input,output,ulperrortol
+np.float32,0x80000000,0xff800000,3
+np.float32,0x7f12870a,0x42fe63db,3
+np.float32,0x3ef29cf5,0xbf89eb12,3
+np.float32,0x3d6ba8fb,0xc083d26c,3
+np.float32,0x3d9907e8,0xc06f8230,3
+np.float32,0x4ee592,0xc2fd656e,3
+np.float32,0x58d8b1,0xc2fd0db3,3
+np.float32,0x7ba103,0xc2fc19aa,3
+np.float32,0x7f52e90e,0x42ff70e4,3
+np.float32,0x7fcb15,0xc2fc0132,3
+np.float32,0x7cb7129f,0x42f50855,3
+np.float32,0x9faba,0xc301ae59,3
+np.float32,0x7f300a,0xc2fc04b4,3
+np.float32,0x3f0bf047,0xbf5f10cb,3
+np.float32,0x2fb1fb,0xc2fed934,3
+np.float32,0x3eedb0d1,0xbf8db417,3
+np.float32,0x3d7a0b40,0xc0811638,3
+np.float32,0x2e0bac,0xc2fef334,3
+np.float32,0x6278c1,0xc2fcc1b9,3
+np.float32,0x7f61ab2e,0x42ffa2d9,3
+np.float32,0x8fe7c,0xc301d4be,3
+np.float32,0x3f25e6ee,0xbf203536,3
+np.float32,0x7efc78f0,0x42fdf5c0,3
+np.float32,0x6d7304,0xc2fc73a7,3
+np.float32,0x7f1a472a,0x42fe89ed,3
+np.float32,0x7dd029a6,0x42f96734,3
+np.float32,0x3e9b9327,0xbfdbf8f7,3
+np.float32,0x3f4eefc1,0xbe9d2942,3
+np.float32,0x7f5b9b64,0x42ff8ebc,3
+np.float32,0x3e458ee1,0xc017ed6e,3
+np.float32,0x3f7b766b,0xbcd35acf,3
+np.float32,0x3e616070,0xc00bc378,3
+np.float32,0x7f20e633,0x42fea8f8,3
+np.float32,0x3ee3b461,0xbf95a126,3
+np.float32,0x7e7722ba,0x42fbe5f8,3
+np.float32,0x3f0873d7,0xbf6861fa,3
+np.float32,0x7b4cb2,0xc2fc1ba3,3
+np.float32,0x3f0b6b02,0xbf60712e,3
+np.float32,0x9bff4,0xc301b6f2,3
+np.float32,0x3f07be25,0xbf6a4f0c,3
+np.float32,0x3ef10e57,0xbf8b1b75,3
+np.float32,0x46ad75,0xc2fdb6b1,3
+np.float32,0x3f7bc542,0xbcc4e3a9,3
+np.float32,0x3f6673d4,0xbe1b509c,3
+np.float32,0x7f19fe59,0x42fe8890,3
+np.float32,0x7f800000,0x7f800000,3
+np.float32,0x7f2fe696,0x42feead0,3
+np.float32,0x3dc9432d,0xc0563655,3
+np.float32,0x3ee47623,0xbf950446,3
+np.float32,0x3f1f8817,0xbf2eab51,3
+np.float32,0x7f220ec5,0x42feae44,3
+np.float32,0x2325e3,0xc2ffbab1,3
+np.float32,0x29dfc8,0xc2ff395a,3
+np.float32,0x7f524950,0x42ff6eb3,3
+np.float32,0x3e2234e0,0xc02a21c8,3
+np.float32,0x7f1c6f5a,0x42fe942f,3
+np.float32,0x3b6a61,0xc2fe36e7,3
+np.float32,0x3f1df90e,0xbf324ba9,3
+np.float32,0xb57f0,0xc3017f07,3
+np.float32,0x7d0eba,0xc2fc112e,3
+np.float32,0x403aa9,0xc2fdfd5c,3
+np.float32,0x3e74ecc7,0xc004155f,3
+np.float32,0x17509c,0xc30074f2,3
+np.float32,0x7f62196b,0x42ffa442,3
+np.float32,0x3ecef9a9,0xbfa7417a,3
+np.float32,0x7f14b158,0x42fe6eb1,3
+np.float32,0x3ede12be,0xbf9a40fe,3
+np.float32,0x42cfaa,0xc2fde03f,3
+np.float32,0x3f407b0f,0xbed2a6f5,3
+np.float32,0x7f7fffff,0x43000000,3
+np.float32,0x5467c6,0xc2fd3394,3
+np.float32,0x7ea6b80f,0x42fcc336,3
+np.float32,0x3f21e7b2,0xbf293704,3
+np.float32,0x3dc7e9eb,0xc056d542,3
+np.float32,0x7f3e6e67,0x42ff2571,3
+np.float32,0x3e3e809d,0xc01b4911,3
+np.float32,0x3f800000,0x0,3
+np.float32,0x3d8fd238,0xc0753d52,3
+np.float32,0x3f74aa65,0xbd85cd0e,3
+np.float32,0x7ec30305,0x42fd36ff,3
+np.float32,0x3e97bb93,0xbfe0971d,3
+np.float32,0x3e109d9c,0xc034bb1b,3
+np.float32,0x3f4a0b67,0xbeaed537,3
+np.float32,0x3f25a7aa,0xbf20c228,3
+np.float32,0x3ebc05eb,0xbfb8fd6b,3
+np.float32,0x3eebe749,0xbf8f18e5,3
+np.float32,0x3e9dc479,0xbfd96356,3
+np.float32,0x7f245200,0x42feb882,3
+np.float32,0x1573a8,0xc30093b5,3
+np.float32,0x3e66c4b9,0xc00994a6,3
+np.float32,0x3e73bffc,0xc0048709,3
+np.float32,0x3dfef8e5,0xc0405f16,3
+np.float32,0x403750,0xc2fdfd83,3
+np.float32,0x3ebedf17,0xbfb636a4,3
+np.float32,0x15cae6,0xc3008de2,3
+np.float32,0x3edf4d4e,0xbf993c24,3
+np.float32,0x3f7cc41e,0xbc963fb3,3
+np.float32,0x3e9e12a4,0xbfd907ee,3
+np.float32,0x7ded7b59,0x42f9c889,3
+np.float32,0x7f034878,0x42fe12b5,3
+np.float32,0x7ddce43f,0x42f9930b,3
+np.float32,0x3d82b257,0xc07e1333,3
+np.float32,0x3dae89c1,0xc0635dd4,3
+np.float32,0x6b1d00,0xc2fc8396,3
+np.float32,0x449a5a,0xc2fdccb3,3
+np.float32,0x4e89d2,0xc2fd68cb,3
+np.float32,0x7e1ae83f,0x42fa8cef,3
+np.float32,0x7e4bb22c,0x42fb572e,3
+np.float32,0x3de308ea,0xc04b1634,3
+np.float32,0x7f238c7a,0x42feb508,3
+np.float32,0x3f6c62a3,0xbdeb86f3,3
+np.float32,0x3e58cba6,0xc00f5908,3
+np.float32,0x7f7dd91f,0x42fff9c4,3
+np.float32,0x3d989376,0xc06fc88d,3
+np.float32,0x3dd013c5,0xc0532339,3
+np.float32,0x4b17e6,0xc2fd89ed,3
+np.float32,0x7f67f287,0x42ffb71e,3
+np.float32,0x3f69365e,0xbe09ba3c,3
+np.float32,0x3e4b8b21,0xc0152bf1,3
+np.float32,0x3a75b,0xc3032171,3
+np.float32,0x7f303676,0x42feec1f,3
+np.float32,0x7f6570e5,0x42ffaf18,3
+np.float32,0x3f5ed61e,0xbe4cf676,3
+np.float32,0x3e9b22f9,0xbfdc7e4f,3
+np.float32,0x2c095e,0xc2ff1428,3
+np.float32,0x3f1b17c1,0xbf391754,3
+np.float32,0x422dc6,0xc2fde746,3
+np.float32,0x3f677c8d,0xbe14b365,3
+np.float32,0x3ef85d0c,0xbf8597a9,3
+np.float32,0x3ecaaa6b,0xbfab2430,3
+np.float32,0x3f0607d1,0xbf6eff3d,3
+np.float32,0x3f011fdb,0xbf7cc50d,3
+np.float32,0x6ed7c1,0xc2fc6a4e,3
+np.float32,0x7ec2d1a2,0x42fd3644,3
+np.float32,0x3f75b7fe,0xbd7238a2,3
+np.float32,0x3ef2d146,0xbf89c344,3
+np.float32,0x7ec2cd27,0x42fd3633,3
+np.float32,0x7ee1e55a,0x42fda397,3
+np.float32,0x7f464d6a,0x42ff435c,3
+np.float32,0x7f469a93,0x42ff447b,3
+np.float32,0x7ece752f,0x42fd6121,3
+np.float32,0x2ed878,0xc2fee67b,3
+np.float32,0x75b23,0xc3021eff,3
+np.float32,0x3e0f4be4,0xc03593b8,3
+np.float32,0x2778e1,0xc2ff64fc,3
+np.float32,0x5fe2b7,0xc2fcd561,3
+np.float32,0x19b8a9,0xc30050ab,3
+np.float32,0x7df303e5,0x42f9d98d,3
+np.float32,0x608b8d,0xc2fcd051,3
+np.float32,0x588f46,0xc2fd1017,3
+np.float32,0x3eec6a11,0xbf8eb2a1,3
+np.float32,0x3f714121,0xbdaf4906,3
+np.float32,0x7f4f7b9e,0x42ff64c9,3
+np.float32,0x3c271606,0xc0d3b29c,3
+np.float32,0x3f002fe0,0xbf7f75f6,3
+np.float32,0x7efa4798,0x42fdef4f,3
+np.float32,0x3f61a865,0xbe3a601a,3
+np.float32,0x7e8087aa,0x42fc030d,3
+np.float32,0x3f70f0c7,0xbdb321ba,3
+np.float32,0x5db898,0xc2fce63f,3
+np.float32,0x7a965f,0xc2fc1fea,3
+np.float32,0x7f68b112,0x42ffb97c,3
+np.float32,0x7ef0ed3d,0x42fdd32d,3
+np.float32,0x7f3156a1,0x42fef0d3,3
+np.float32,0x3f1d405f,0xbf33fc6e,3
+np.float32,0x3e3494cf,0xc0203945,3
+np.float32,0x6018de,0xc2fcd3c1,3
+np.float32,0x623e49,0xc2fcc370,3
+np.float32,0x3ea29f0f,0xbfd3cad4,3
+np.float32,0xa514,0xc305a20c,3
+np.float32,0x3e1b2ab1,0xc02e3a8f,3
+np.float32,0x3f450b6f,0xbec1578f,3
+np.float32,0x7eb12908,0x42fcf015,3
+np.float32,0x3f10b720,0xbf52ab48,3
+np.float32,0x3e0a93,0xc2fe16f6,3
+np.float32,0x93845,0xc301cb96,3
+np.float32,0x7f4e9ce3,0x42ff61af,3
+np.float32,0x3f6d4296,0xbde09ceb,3
+np.float32,0x6ddede,0xc2fc70d0,3
+np.float32,0x3f4fb6fd,0xbe9a636d,3
+np.float32,0x3f6d08de,0xbde36c0b,3
+np.float32,0x3f56f057,0xbe8122ad,3
+np.float32,0x334e95,0xc2fea349,3
+np.float32,0x7efadbcd,0x42fdf104,3
+np.float32,0x3db02e88,0xc0628046,3
+np.float32,0x3f3309d1,0xbf041066,3
+np.float32,0x2d8722,0xc2fefb8f,3
+np.float32,0x7e926cac,0x42fc6356,3
+np.float32,0x3e3674ab,0xc01f452e,3
+np.float32,0x1b46ce,0xc3003afc,3
+np.float32,0x3f06a338,0xbf6d53fc,3
+np.float32,0x1b1ba7,0xc3003d46,3
+np.float32,0x319dfb,0xc2febc06,3
+np.float32,0x3e2f126a,0xc02315a5,3
+np.float32,0x3f40fe65,0xbed0af9e,3
+np.float32,0x3f1d842f,0xbf335d4b,3
+np.float32,0x3d044e4f,0xc09e78f8,3
+np.float32,0x7f272674,0x42fec51f,3
+np.float32,0x3cda6d8f,0xc0a753db,3
+np.float32,0x3eb92f12,0xbfbbccbb,3
+np.float32,0x7e4318f4,0x42fb3752,3
+np.float32,0x3c5890,0xc2fe2b6d,3
+np.float32,0x3d1993c9,0xc09796f8,3
+np.float32,0x7f18ef24,0x42fe8377,3
+np.float32,0x3e30c3a0,0xc0223244,3
+np.float32,0x3f27cd27,0xbf1c00ef,3
+np.float32,0x3f150957,0xbf47cd6c,3
+np.float32,0x7e7178a3,0x42fbd4d8,3
+np.float32,0x3f298db8,0xbf182ac3,3
+np.float32,0x7cb3be,0xc2fc1348,3
+np.float32,0x3ef64266,0xbf8729de,3
+np.float32,0x3eeb06ce,0xbf8fc8f2,3
+np.float32,0x3f406e36,0xbed2d845,3
+np.float32,0x7f1e1bd3,0x42fe9c0b,3
+np.float32,0x478dcc,0xc2fdad97,3
+np.float32,0x7f7937b5,0x42ffec2b,3
+np.float32,0x3f20f350,0xbf2b6624,3
+np.float32,0x7f13661a,0x42fe683c,3
+np.float32,0x208177,0xc2fff46b,3
+np.float32,0x263cfb,0xc2ff7c72,3
+np.float32,0x7f0bd28c,0x42fe4141,3
+np.float32,0x7230d8,0xc2fc5453,3
+np.float32,0x3f261bbf,0xbf1fbfb4,3
+np.float32,0x737b56,0xc2fc4c05,3
+np.float32,0x3ef88f33,0xbf857263,3
+np.float32,0x7e036464,0x42fa1352,3
+np.float32,0x4b5c4f,0xc2fd874d,3
+np.float32,0x3f77984d,0xbd454596,3
+np.float32,0x3f674202,0xbe162932,3
+np.float32,0x3e7157d9,0xc0057197,3
+np.float32,0x3f3f21da,0xbed7d861,3
+np.float32,0x7f1fb40f,0x42fea375,3
+np.float32,0x7ef0157f,0x42fdd096,3
+np.float32,0x3f71e88d,0xbda74962,3
+np.float32,0x3f174855,0xbf424728,3
+np.float32,0x3f3fdd2c,0xbed505d5,3
+np.float32,0x7b95d1,0xc2fc19ed,3
+np.float32,0x7f23f4e5,0x42feb6df,3
+np.float32,0x7d741925,0x42f7dcd6,3
+np.float32,0x60f81d,0xc2fccd14,3
+np.float32,0x3f17d267,0xbf40f6ae,3
+np.float32,0x3f036fc8,0xbf7636f8,3
+np.float32,0x167653,0xc30082b5,3
+np.float32,0x256d05,0xc2ff8c4f,3
+np.float32,0x3eccc63d,0xbfa93adb,3
+np.float32,0x7f6c91ea,0x42ffc5b2,3
+np.float32,0x2ee52a,0xc2fee5b3,3
+np.float32,0x3dc3579e,0xc058f80d,3
+np.float32,0x4c7170,0xc2fd7cc4,3
+np.float32,0x7f737f20,0x42ffdb03,3
+np.float32,0x3f2f9dbf,0xbf0b3119,3
+np.float32,0x3f4d0c54,0xbea3eec5,3
+np.float32,0x7e380862,0x42fb0c32,3
+np.float32,0x5d637f,0xc2fce8df,3
+np.float32,0x3f0aa623,0xbf627c27,3
+np.float32,0x3e4d5896,0xc0145b88,3
+np.float32,0x3f6cacdc,0xbde7e7ca,3
+np.float32,0x63a2c3,0xc2fcb90a,3
+np.float32,0x6c138c,0xc2fc7cfa,3
+np.float32,0x2063c,0xc303fb88,3
+np.float32,0x7e9e5a3e,0x42fc9d2f,3
+np.float32,0x56ec64,0xc2fd1ddd,3
+np.float32,0x7f1d6a35,0x42fe98cc,3
+np.float32,0x73dc96,0xc2fc4998,3
+np.float32,0x3e5d74e5,0xc00d6238,3
+np.float32,0x7f033cbb,0x42fe1273,3
+np.float32,0x3f5143fc,0xbe94e4e7,3
+np.float32,0x1d56d9,0xc3002010,3
+np.float32,0x2bf3e4,0xc2ff1591,3
+np.float32,0x3f2a6ef1,0xbf164170,3
+np.float32,0x3f33238b,0xbf03db58,3
+np.float32,0x22780e,0xc2ffc91a,3
+np.float32,0x7f00b873,0x42fe0425,3
+np.float32,0x3f7f6145,0xbb654706,3
+np.float32,0x7fc00000,0x7fc00000,3
+np.float32,0x63895a,0xc2fcb9c7,3
+np.float32,0x18a1b2,0xc30060a8,3
+np.float32,0x7e43c6a6,0x42fb39e3,3
+np.float32,0x78676e,0xc2fc2d30,3
+np.float32,0x3f16d839,0xbf435940,3
+np.float32,0x7eff78ba,0x42fdfe79,3
+np.float32,0x3f2e152c,0xbf0e6e54,3
+np.float32,0x3db20ced,0xc06186e1,3
+np.float32,0x3f0cd1d8,0xbf5cbf57,3
+np.float32,0x3fd7a8,0xc2fe01d2,3
+np.float32,0x3ebb075e,0xbfb9f816,3
+np.float32,0x7f94ef,0xc2fc026b,3
+np.float32,0x3d80ba0e,0xc07f7a2b,3
+np.float32,0x7f227e15,0x42feb03f,3
+np.float32,0x792264bf,0x42e6afcc,3
+np.float32,0x7f501576,0x42ff66ec,3
+np.float32,0x223629,0xc2ffcea3,3
+np.float32,0x40a79e,0xc2fdf87b,3
+np.float32,0x449483,0xc2fdccf2,3
+np.float32,0x3f4fa978,0xbe9a9382,3
+np.float32,0x7f148c53,0x42fe6df9,3
+np.float32,0x3ec98b3c,0xbfac2a98,3
+np.float32,0x3e4da320,0xc0143a0a,3
+np.float32,0x3d1d94bb,0xc09666d0,3
+np.float32,0x3c8e624e,0xc0bb155b,3
+np.float32,0x66a9af,0xc2fca2ef,3
+np.float32,0x3ec76ed7,0xbfae1c57,3
+np.float32,0x3f4b52f3,0xbeaa2b81,3
+np.float32,0x7e99bbb5,0x42fc8750,3
+np.float32,0x3f69a46b,0xbe0701be,3
+np.float32,0x3f775400,0xbd4ba495,3
+np.float32,0x131e56,0xc300be3c,3
+np.float32,0x3f30abb4,0xbf08fb10,3
+np.float32,0x7f7e528c,0x42fffb25,3
+np.float32,0x3eb89515,0xbfbc668a,3
+np.float32,0x7e9191b6,0x42fc5f02,3
+np.float32,0x7e80c7e9,0x42fc047e,3
+np.float32,0x3f77ef58,0xbd3d2995,3
+np.float32,0x7ddb1f8a,0x42f98d1b,3
+np.float32,0x7ebc6c4f,0x42fd1d9c,3
+np.float32,0x3f6638e0,0xbe1ccab8,3
+np.float32,0x7f4c45,0xc2fc0410,3
+np.float32,0x3e7d8aad,0xc000e414,3
+np.float32,0x3f4d148b,0xbea3d12e,3
+np.float32,0x3e98c45c,0xbfdf55f4,3
+np.float32,0x3d754c78,0xc081f8a9,3
+np.float32,0x17e4cf,0xc3006be3,3
+np.float32,0x7eb65814,0x42fd0563,3
+np.float32,0x3f65e0d8,0xbe1f0008,3
+np.float32,0x3e99541f,0xbfdea87e,3
+np.float32,0x3f3cb80e,0xbee13b27,3
+np.float32,0x3e99f0c0,0xbfddec3b,3
+np.float32,0x3f43903e,0xbec6ea66,3
+np.float32,0x7e211cd4,0x42faa9f2,3
+np.float32,0x824af,0xc301f971,3
+np.float32,0x3e16a56e,0xc030f56c,3
+np.float32,0x542b3b,0xc2fd35a6,3
+np.float32,0x3eeea2d1,0xbf8cf873,3
+np.float32,0x232e93,0xc2ffb9fa,3
+np.float32,0x3e8c52b9,0xbfef06aa,3
+np.float32,0x7f69c7e3,0x42ffbcef,3
+np.float32,0x3f573e43,0xbe801714,3
+np.float32,0x43b009,0xc2fdd69f,3
+np.float32,0x3ee571ab,0xbf943966,3
+np.float32,0x3ee3d5d8,0xbf958604,3
+np.float32,0x338b12,0xc2fe9fe4,3
+np.float32,0x29cb1f,0xc2ff3ac6,3
+np.float32,0x3f0892b4,0xbf680e7a,3
+np.float32,0x3e8c4f7f,0xbfef0ae9,3
+np.float32,0x7c9d3963,0x42f497e6,3
+np.float32,0x3f26ba84,0xbf1e5f59,3
+np.float32,0x3dd0acc0,0xc052df6f,3
+np.float32,0x3e43fbda,0xc018aa8c,3
+np.float32,0x3ec4fd0f,0xbfb0635d,3
+np.float32,0x3f52c8c6,0xbe8f8d85,3
+np.float32,0x3f5fdc5d,0xbe462fdb,3
+np.float32,0x3f461920,0xbebd6743,3
+np.float32,0x6161ff,0xc2fcc9ef,3
+np.float32,0x7f7ed306,0x42fffc9a,3
+np.float32,0x3d212263,0xc0955f46,3
+np.float32,0x3eca5826,0xbfab6f36,3
+np.float32,0x7d6317ac,0x42f7a77e,3
+np.float32,0x3eb02063,0xbfc50f60,3
+np.float32,0x7f71a6f8,0x42ffd565,3
+np.float32,0x1a3efe,0xc3004935,3
+np.float32,0x3dc599c9,0xc057e856,3
+np.float32,0x3f3e1301,0xbedbf205,3
+np.float32,0xf17d4,0xc301158d,3
+np.float32,0x3f615f84,0xbe3c3d85,3
+np.float32,0x3de63be1,0xc049cb77,3
+np.float32,0x3e8d2f51,0xbfede541,3
+np.float32,0x3a5cdd,0xc2fe441c,3
+np.float32,0x3f443ec0,0xbec4586a,3
+np.float32,0x3eacbd00,0xbfc8a5ad,3
+np.float32,0x3f600f6a,0xbe44df1b,3
+np.float32,0x5f77a6,0xc2fcd89c,3
+np.float32,0x476706,0xc2fdaf28,3
+np.float32,0x2f469,0xc3036fde,3
+np.float32,0x7dc4ba24,0x42f93d77,3
+np.float32,0x3e2d6080,0xc023fb9b,3
+np.float32,0x7e8d7135,0x42fc49c3,3
+np.float32,0x3f589065,0xbe77247b,3
+np.float32,0x3f59e210,0xbe6e2c05,3
+np.float32,0x7f51d388,0x42ff6d15,3
+np.float32,0x7d9a5fda,0x42f88a63,3
+np.float32,0x3e67d5bc,0xc00927ab,3
+np.float32,0x61d72c,0xc2fcc679,3
+np.float32,0x3ef3351d,0xbf897766,3
+np.float32,0x1,0xc3150000,3
+np.float32,0x7f653429,0x42ffae54,3
+np.float32,0x7e1ad3e5,0x42fa8c8e,3
+np.float32,0x3f4ca01d,0xbea57500,3
+np.float32,0x3f7606db,0xbd6ad13e,3
+np.float32,0x7ec4a27d,0x42fd3d1f,3
+np.float32,0x3efe4fd5,0xbf8138c7,3
+np.float32,0x77c2f1,0xc2fc3124,3
+np.float32,0x7e4d3251,0x42fb5c9a,3
+np.float32,0x3f543ac7,0xbe8a8154,3
+np.float32,0x7c3dbe29,0x42f322c4,3
+np.float32,0x408e01,0xc2fdf9a0,3
+np.float32,0x45069b,0xc2fdc829,3
+np.float32,0x3d7ecab7,0xc08037e8,3
+np.float32,0xf8c22,0xc3010a99,3
+np.float32,0x7f69af63,0x42ffbca2,3
+np.float32,0x7ec7d228,0x42fd48fe,3
+np.float32,0xff800000,0xffc00000,3
+np.float32,0xdd7c5,0xc301357c,3
+np.float32,0x143f38,0xc300a90e,3
+np.float32,0x7e65c176,0x42fbb01b,3
+np.float32,0x2c1a9e,0xc2ff1307,3
+np.float32,0x7f6e9224,0x42ffcbeb,3
+np.float32,0x3d32ab39,0xc0909a77,3
+np.float32,0x3e150b42,0xc031f22b,3
+np.float32,0x1f84b4,0xc300059a,3
+np.float32,0x3f71ce21,0xbda88c2a,3
+np.float32,0x2625c4,0xc2ff7e33,3
+np.float32,0x3dd0b293,0xc052dcdc,3
+np.float32,0x625c11,0xc2fcc290,3
+np.float32,0x3f610297,0xbe3e9f24,3
+np.float32,0x7ebdd5e5,0x42fd2320,3
+np.float32,0x3e883458,0xbff486ff,3
+np.float32,0x782313,0xc2fc2ed4,3
+np.float32,0x7f39c843,0x42ff132f,3
+np.float32,0x7f326aa7,0x42fef54d,3
+np.float32,0x4d2c71,0xc2fd75be,3
+np.float32,0x3f55747c,0xbe86409e,3
+np.float32,0x7f7f0867,0x42fffd34,3
+np.float32,0x321316,0xc2feb53f,3
+np.float32,0x3e1b37ed,0xc02e32b0,3
+np.float32,0x80edf,0xc301fd54,3
+np.float32,0x3f0b08ad,0xbf617607,3
+np.float32,0x7f3f4174,0x42ff28a2,3
+np.float32,0x3d79306d,0xc0813eb0,3
+np.float32,0x3f5f657a,0xbe49413d,3
+np.float32,0x3f56c63a,0xbe81b376,3
+np.float32,0x7f667123,0x42ffb24f,3
+np.float32,0x3f71021b,0xbdb24d43,3
+np.float32,0x7f434ab1,0x42ff380f,3
+np.float32,0x3dcae496,0xc055779c,3
+np.float32,0x3f5a7d88,0xbe6a0f5b,3
+np.float32,0x3cdf5c32,0xc0a64bf5,3
+np.float32,0x3e56222c,0xc0107d11,3
+np.float32,0x561a3a,0xc2fd24df,3
+np.float32,0x7ddd953c,0x42f9955a,3
+np.float32,0x7e35d839,0x42fb035c,3
+np.float32,0x3ec1816c,0xbfb3aeb2,3
+np.float32,0x7c87cfcd,0x42f42bc2,3
+np.float32,0xd9cd,0xc3053baf,3
+np.float32,0x3f388234,0xbef1e5b7,3
+np.float32,0x3edfcaca,0xbf98d47b,3
+np.float32,0x3ef28852,0xbf89fac8,3
+np.float32,0x7f7525df,0x42ffe001,3
+np.float32,0x7f6c33ef,0x42ffc48c,3
+np.float32,0x3ea4a881,0xbfd17e61,3
+np.float32,0x3f3e379f,0xbedb63c6,3
+np.float32,0x3f0524c1,0xbf717301,3
+np.float32,0x3db3e7f0,0xc06091d3,3
+np.float32,0x800000,0xc2fc0000,3
+np.float32,0x3f2f2897,0xbf0c27ce,3
+np.float32,0x7eb1776d,0x42fcf15c,3
+np.float32,0x3f039018,0xbf75dc37,3
+np.float32,0x3c4055,0xc2fe2c96,3
+np.float32,0x3f603653,0xbe43dea5,3
+np.float32,0x7f700d24,0x42ffd07c,3
+np.float32,0x3f4741a3,0xbeb918dc,3
+np.float32,0x3f5fe959,0xbe45da2d,3
+np.float32,0x3f3e4401,0xbedb33b1,3
+np.float32,0x7f0705ff,0x42fe2775,3
+np.float32,0x3ea85662,0xbfcd69b0,3
+np.float32,0x3f15f49f,0xbf458829,3
+np.float32,0x3f17c50e,0xbf411728,3
+np.float32,0x3e483f60,0xc016add2,3
+np.float32,0x3f1ab9e5,0xbf39f71b,3
+np.float32,0x3de0b6fb,0xc04c08fe,3
+np.float32,0x7e671225,0x42fbb452,3
+np.float32,0x80800000,0xffc00000,3
+np.float32,0xe2df3,0xc3012c9d,3
+np.float32,0x3ede1e3c,0xbf9a3770,3
+np.float32,0x3df2ffde,0xc044cfec,3
+np.float32,0x3eed8da5,0xbf8dcf6c,3
+np.float32,0x3ead15c3,0xbfc846e1,3
+np.float32,0x7ef3750a,0x42fddae4,3
+np.float32,0x7e6ab7c0,0x42fbbfe4,3
+np.float32,0x7ea4bbe5,0x42fcba5d,3
+np.float32,0x3f227706,0xbf27f0a1,3
+np.float32,0x3ef39bfd,0xbf89295a,3
+np.float32,0x3f289a20,0xbf1a3edd,3
+np.float32,0x7f225f82,0x42feafb4,3
+np.float32,0x768963,0xc2fc38bc,3
+np.float32,0x3f493c00,0xbeb1ccfc,3
+np.float32,0x3f4e7249,0xbe9ee9a7,3
+np.float32,0x1d0c3a,0xc30023c0,3
+np.float32,0x7f3c5f78,0x42ff1d6a,3
+np.float32,0xff7fffff,0xffc00000,3
+np.float32,0x3ee7896a,0xbf928c2a,3
+np.float32,0x3e788479,0xc002bd2e,3
+np.float32,0x3ee4df17,0xbf94af84,3
+np.float32,0x5e06d7,0xc2fce3d7,3
+np.float32,0x3d7b2776,0xc080e1dc,3
+np.float32,0x3e3d39d3,0xc01be7fd,3
+np.float32,0x7c81dece,0x42f40ab7,3
+np.float32,0x3f7d2085,0xbc856255,3
+np.float32,0x7f7f6627,0x42fffe44,3
+np.float32,0x7f5f2e94,0x42ff9aaa,3
+np.float32,0x7f5835f2,0x42ff8339,3
+np.float32,0x3f6a0e32,0xbe046580,3
+np.float32,0x7e16f586,0x42fa79dd,3
+np.float32,0x3f04a2f2,0xbf72dbc5,3
+np.float32,0x3f35e334,0xbefc7740,3
+np.float32,0x3f0d056e,0xbf5c3824,3
+np.float32,0x7ebeb95e,0x42fd2693,3
+np.float32,0x3c6192,0xc2fe2aff,3
+np.float32,0x3e892b4f,0xbff33958,3
+np.float32,0x3f61d694,0xbe3931df,3
+np.float32,0x29d183,0xc2ff3a56,3
+np.float32,0x7f0b0598,0x42fe3d04,3
+np.float32,0x7f743b28,0x42ffdd3d,3
+np.float32,0x3a2ed6,0xc2fe4663,3
+np.float32,0x3e27403a,0xc0274de8,3
+np.float32,0x3f58ee78,0xbe74a349,3
+np.float32,0x3eaa4b,0xc2fe0f92,3
+np.float32,0x3ecb613b,0xbfaa7de8,3
+np.float32,0x7f637d81,0x42ffa8c9,3
+np.float32,0x3f026e96,0xbf790c73,3
+np.float32,0x386cdf,0xc2fe5d0c,3
+np.float32,0x35abd1,0xc2fe8202,3
+np.float32,0x3eac3cd1,0xbfc92ee8,3
+np.float32,0x3f567869,0xbe82bf47,3
+np.float32,0x3f65c643,0xbe1faae6,3
+np.float32,0x7f5422b9,0x42ff752b,3
+np.float32,0x7c26e9,0xc2fc168c,3
+np.float32,0x7eff5cfd,0x42fdfe29,3
+np.float32,0x3f728e7f,0xbd9f6142,3
+np.float32,0x3f10fd43,0xbf51f874,3
+np.float32,0x7e7ada08,0x42fbf0fe,3
+np.float32,0x3e82a611,0xbffc37be,3
+np.float32,0xbf800000,0xffc00000,3
+np.float32,0x3dbe2e12,0xc05b711c,3
+np.float32,0x7e768fa9,0x42fbe440,3
+np.float32,0x5e44e8,0xc2fce1f0,3
+np.float32,0x7f25071a,0x42febbae,3
+np.float32,0x3f54db5e,0xbe885339,3
+np.float32,0x3f0f2c26,0xbf56a0b8,3
+np.float32,0x22f9a7,0xc2ffbe55,3
+np.float32,0x7ed63dcb,0x42fd7c77,3
+np.float32,0x7ea4fae2,0x42fcbb78,3
+np.float32,0x3f1d7766,0xbf337b47,3
+np.float32,0x7f16d59f,0x42fe7941,3
+np.float32,0x3f3a1bb6,0xbeeb855c,3
+np.float32,0x3ef57128,0xbf87c709,3
+np.float32,0xb24ff,0xc3018591,3
+np.float32,0x3ef99e27,0xbf84a983,3
+np.float32,0x3eac2ccf,0xbfc94013,3
+np.float32,0x3e9d3e1e,0xbfda00dc,3
+np.float32,0x718213,0xc2fc58c1,3
+np.float32,0x7edbf509,0x42fd8fea,3
+np.float32,0x70c7f1,0xc2fc5d80,3
+np.float32,0x3f7012f5,0xbdbdc6cd,3
+np.float32,0x12cba,0xc304c487,3
+np.float32,0x7f5d445d,0x42ff944c,3
+np.float32,0x7f3e30bd,0x42ff2481,3
+np.float32,0x63b110,0xc2fcb8a0,3
+np.float32,0x3f39f728,0xbeec1680,3
+np.float32,0x3f5bea58,0xbe6074b1,3
+np.float32,0x3f350749,0xbefff679,3
+np.float32,0x3e91ab2c,0xbfe81f3e,3
+np.float32,0x7ec53fe0,0x42fd3f6d,3
+np.float32,0x3f6cbbdc,0xbde72c8e,3
+np.float32,0x3f4df49f,0xbea0abcf,3
+np.float32,0x3e9c9638,0xbfdac674,3
+np.float32,0x7f3b82ec,0x42ff1a07,3
+np.float32,0x7f612a09,0x42ffa132,3
+np.float32,0x7ea26650,0x42fcafd3,3
+np.float32,0x3a615138,0xc122f26d,3
+np.float32,0x3f1108bd,0xbf51db39,3
+np.float32,0x6f80f6,0xc2fc65ea,3
+np.float32,0x3f7cb578,0xbc98ecb1,3
+np.float32,0x7f54d31a,0x42ff7790,3
+np.float32,0x196868,0xc3005532,3
+np.float32,0x3f01ee0a,0xbf7a7925,3
+np.float32,0x3e184013,0xc02ffb11,3
+np.float32,0xadde3,0xc3018ee3,3
+np.float32,0x252a91,0xc2ff9173,3
+np.float32,0x3f0382c2,0xbf7601a9,3
+np.float32,0x6d818c,0xc2fc7345,3
+np.float32,0x3bfbfd,0xc2fe2fdd,3
+np.float32,0x7f3cad19,0x42ff1e9a,3
+np.float32,0x4169a7,0xc2fdefdf,3
+np.float32,0x3f615d96,0xbe3c4a2b,3
+np.float32,0x3f036480,0xbf7656ac,3
+np.float32,0x7f5fbda3,0x42ff9c83,3
+np.float32,0x3d202d,0xc2fe21f1,3
+np.float32,0x3d0f5e5d,0xc09ac3e9,3
+np.float32,0x3f0fff6e,0xbf548142,3
+np.float32,0x7f11ed32,0x42fe60d2,3
+np.float32,0x3e6f856b,0xc00624b6,3
+np.float32,0x7f7c4dd7,0x42fff542,3
+np.float32,0x3e76fb86,0xc0034fa0,3
+np.float32,0x3e8a0d6e,0xbff209e7,3
+np.float32,0x3eacad19,0xbfc8b6ad,3
+np.float32,0xa7776,0xc3019cbe,3
+np.float32,0x3dc84d74,0xc056a754,3
+np.float32,0x3efb8052,0xbf834626,3
+np.float32,0x3f0e55fc,0xbf58cacc,3
+np.float32,0x7e0e71e3,0x42fa4efb,3
+np.float32,0x3ed5a800,0xbfa1639c,3
+np.float32,0x3f33335b,0xbf03babf,3
+np.float32,0x38cad7,0xc2fe5842,3
+np.float32,0x3bc21256,0xc0ecc927,3
+np.float32,0x3f09522d,0xbf660a19,3
+np.float32,0xcbd5d,0xc3015428,3
+np.float32,0x492752,0xc2fd9d42,3
+np.float32,0x3f2b9b32,0xbf13b904,3
+np.float32,0x6544ac,0xc2fcad09,3
+np.float32,0x52eb12,0xc2fd40b5,3
+np.float32,0x3f66a7c0,0xbe1a03e8,3
+np.float32,0x7ab289,0xc2fc1f41,3
+np.float32,0x62af5e,0xc2fcc020,3
+np.float32,0x7f73e9cf,0x42ffdc46,3
+np.float32,0x3e5eca,0xc2fe130e,3
+np.float32,0x3e3a10f4,0xc01d7602,3
+np.float32,0x3f04db46,0xbf723f0d,3
+np.float32,0x18fc4a,0xc3005b63,3
+np.float32,0x525bcb,0xc2fd45b6,3
+np.float32,0x3f6b9108,0xbdf5c769,3
+np.float32,0x3e992e8c,0xbfded5c5,3
+np.float32,0x7efea647,0x42fdfc18,3
+np.float32,0x7e8371db,0x42fc139e,3
+np.float32,0x3f397cfb,0xbeedfc69,3
+np.float32,0x7e46d233,0x42fb454a,3
+np.float32,0x7d5281ad,0x42f76f79,3
+np.float32,0x7f4c1878,0x42ff58a1,3
+np.float32,0x3e96ca5e,0xbfe1bd97,3
+np.float32,0x6a2743,0xc2fc8a3d,3
+np.float32,0x7f688781,0x42ffb8f8,3
+np.float32,0x7814b7,0xc2fc2f2d,3
+np.float32,0x3f2ffdc9,0xbf0a6756,3
+np.float32,0x3f766fa8,0xbd60fe24,3
+np.float32,0x4dc64e,0xc2fd7003,3
+np.float32,0x3a296f,0xc2fe46a8,3
+np.float32,0x3f2af942,0xbf15162e,3
+np.float32,0x7f702c32,0x42ffd0dc,3
+np.float32,0x7e61e318,0x42fba390,3
+np.float32,0x7f7d3bdb,0x42fff7fa,3
+np.float32,0x3ee87f3f,0xbf91c881,3
+np.float32,0x2bbc28,0xc2ff193c,3
+np.float32,0x3e01f918,0xc03e966e,3
+np.float32,0x7f0b39f4,0x42fe3e1a,3
+np.float32,0x3eaa4d64,0xbfcb4516,3
+np.float32,0x3e53901e,0xc0119a88,3
+np.float32,0x603cb,0xc3026957,3
+np.float32,0x7e81f926,0x42fc0b4d,3
+np.float32,0x5dab7c,0xc2fce6a6,3
+np.float32,0x3f46fefd,0xbeba1018,3
+np.float32,0x648448,0xc2fcb28a,3
+np.float32,0x3ec49470,0xbfb0c58b,3
+np.float32,0x3e8a5393,0xbff1ac2b,3
+np.float32,0x3f27ccfc,0xbf1c014e,3
+np.float32,0x3ed886e6,0xbf9eeca8,3
+np.float32,0x7cfbe06e,0x42f5f401,3
+np.float32,0x3f5aa7ba,0xbe68f229,3
+np.float32,0x9500d,0xc301c7e3,3
+np.float32,0x3f4861,0xc2fe0853,3
+np.float32,0x3e5ae104,0xc00e76f5,3
+np.float32,0x71253a,0xc2fc5b1e,3
+np.float32,0xcf7b8,0xc3014d9c,3
+np.float32,0x7f7edd2d,0x42fffcb7,3
+np.float32,0x3e9039ee,0xbfe9f5ab,3
+np.float32,0x2fd54e,0xc2fed712,3
+np.float32,0x3f600752,0xbe45147a,3
+np.float32,0x3f4da8f6,0xbea1bb5c,3
+np.float32,0x3f2d34a9,0xbf104bd9,3
+np.float32,0x3e1e66dd,0xc02c52d2,3
+np.float32,0x798276,0xc2fc2670,3
+np.float32,0xd55e2,0xc3014347,3
+np.float32,0x80000001,0xffc00000,3
+np.float32,0x3e7a5ead,0xc0020da6,3
+np.float32,0x7ec4c744,0x42fd3da9,3
+np.float32,0x597e00,0xc2fd085a,3
+np.float32,0x3dff6bf4,0xc0403575,3
+np.float32,0x5d6f1a,0xc2fce883,3
+np.float32,0x7e21faff,0x42faadea,3
+np.float32,0x3e570fea,0xc01016c6,3
+np.float32,0x28e6b6,0xc2ff4ab7,3
+np.float32,0x7e77062d,0x42fbe5a3,3
+np.float32,0x74cac4,0xc2fc43b0,3
+np.float32,0x3f707273,0xbdb93078,3
+np.float32,0x228e96,0xc2ffc737,3
+np.float32,0x686ac1,0xc2fc966b,3
+np.float32,0x3d76400d,0xc081cae8,3
+np.float32,0x3e9f502f,0xbfd7966b,3
+np.float32,0x3f6bc656,0xbdf32b1f,3
+np.float32,0x3edb828b,0xbf9c65d4,3
+np.float32,0x6c6e56,0xc2fc7a8e,3
+np.float32,0x3f04552e,0xbf73b48f,3
+np.float32,0x3f39cb69,0xbeecc457,3
+np.float32,0x7f681c44,0x42ffb7a3,3
+np.float32,0x7f5b44ee,0x42ff8d99,3
+np.float32,0x3e71430a,0xc005798d,3
+np.float32,0x3edcfde3,0xbf9b27c6,3
+np.float32,0x3f616a5a,0xbe3bf67f,3
+np.float32,0x3f523936,0xbe918548,3
+np.float32,0x3f39ce3a,0xbeecb925,3
+np.float32,0x3eac589a,0xbfc91120,3
+np.float32,0x7efc8d3d,0x42fdf5fc,3
+np.float32,0x5704b0,0xc2fd1d0f,3
+np.float32,0x7e7972e9,0x42fbecda,3
+np.float32,0x3eb0811c,0xbfc4aa13,3
+np.float32,0x7f1efcbb,0x42fea023,3
+np.float32,0x3e0b9e32,0xc037fa6b,3
+np.float32,0x7eef6a48,0x42fdce87,3
+np.float32,0x3cc0a373,0xc0ad20c0,3
+np.float32,0x3f2a75bb,0xbf1632ba,3
+np.float32,0x0,0xff800000,3
+np.float32,0x7ecdb6f4,0x42fd5e77,3
+np.float32,0x7f2e2dfd,0x42fee38d,3
+np.float32,0x3ee17f6e,0xbf976d8c,3
+np.float32,0x3f51e7ee,0xbe92a319,3
+np.float32,0x3f06942f,0xbf6d7d3c,3
+np.float32,0x3f7ba528,0xbccac6f1,3
+np.float32,0x3f413787,0xbecfd513,3
+np.float32,0x3e085e48,0xc03a2716,3
+np.float32,0x7e4c5e0e,0x42fb599c,3
+np.float32,0x306f76,0xc2fecdd4,3
+np.float32,0x7f5c2203,0x42ff9081,3
+np.float32,0x3d5355b4,0xc088da05,3
+np.float32,0x9a2a,0xc305bb4f,3
+np.float32,0x3db93a1f,0xc05de0db,3
+np.float32,0x4e50c6,0xc2fd6ae4,3
+np.float32,0x7ec4afed,0x42fd3d51,3
+np.float32,0x3a8f27,0xc2fe41a0,3
+np.float32,0x7f213caf,0x42feaa84,3
+np.float32,0x7e7b5f00,0x42fbf286,3
+np.float32,0x7e367194,0x42fb05ca,3
+np.float32,0x7f56e6de,0x42ff7ebd,3
+np.float32,0x3ed7383e,0xbfa00aef,3
+np.float32,0x7e844752,0x42fc184a,3
+np.float32,0x15157,0xc3049a19,3
+np.float32,0x3f78cd92,0xbd28824a,3
+np.float32,0x7ecddb16,0x42fd5ef9,3
+np.float32,0x3e479f16,0xc016f7d8,3
+np.float32,0x3f5cb418,0xbe5b2bd3,3
+np.float32,0x7c0934cb,0x42f2334e,3
+np.float32,0x3ebe5505,0xbfb6bc69,3
+np.float32,0x3eb1335a,0xbfc3eff5,3
+np.float32,0x3f2488a3,0xbf234444,3
+np.float32,0x642906,0xc2fcb52a,3
+np.float32,0x3da635fa,0xc067e15a,3
+np.float32,0x7e0d80db,0x42fa4a15,3
+np.float32,0x4f0b9d,0xc2fd640a,3
+np.float32,0x7e083806,0x42fa2df8,3
+np.float32,0x7f77f8c6,0x42ffe877,3
+np.float32,0x3e7bb46a,0xc0018ff5,3
+np.float32,0x3f06eb2e,0xbf6c8eca,3
+np.float32,0x7eae8f7c,0x42fce52a,3
+np.float32,0x3de481a0,0xc04a7d7f,3
+np.float32,0x3eed4311,0xbf8e096f,3
+np.float32,0x3f7b0300,0xbce8903d,3
+np.float32,0x3811b,0xc30330dd,3
+np.float32,0x3eb6f8e1,0xbfbe04bc,3
+np.float32,0x3ec35210,0xbfb1f55a,3
+np.float32,0x3d386916,0xc08f24a5,3
+np.float32,0x3f1fa197,0xbf2e704d,3
+np.float32,0x7f2020a5,0x42fea56a,3
+np.float32,0x7e1ea53f,0x42fa9e8c,3
+np.float32,0x3f148903,0xbf490bf9,3
+np.float32,0x3f2f56a0,0xbf0bc6c9,3
+np.float32,0x7da9fc,0xc2fc0d9b,3
+np.float32,0x3d802134,0xc07fe810,3
+np.float32,0x3f6cb927,0xbde74e57,3
+np.float32,0x7e05b125,0x42fa2023,3
+np.float32,0x3f3307f9,0xbf041433,3
+np.float32,0x5666bf,0xc2fd2250,3
+np.float32,0x3f51c93b,0xbe930f28,3
+np.float32,0x3eb5dcfe,0xbfbf241e,3
+np.float32,0xb2773,0xc301853f,3
+np.float32,0x7f4dee96,0x42ff5f3f,3
+np.float32,0x3e3f5c33,0xc01adee1,3
+np.float32,0x3f2ed29a,0xbf0cdd4a,3
+np.float32,0x3e3c01ef,0xc01c80ab,3
+np.float32,0x3ec2236e,0xbfb31458,3
+np.float32,0x7e841dc4,0x42fc1761,3
+np.float32,0x3df2cd8e,0xc044e30c,3
+np.float32,0x3f010901,0xbf7d0670,3
+np.float32,0x3c05ceaa,0xc0ddf39b,3
+np.float32,0x3f517226,0xbe944206,3
+np.float32,0x3f23c83d,0xbf24f522,3
+np.float32,0x7fc9da,0xc2fc0139,3
+np.float32,0x7f1bde53,0x42fe9181,3
+np.float32,0x3ea3786c,0xbfd2d4a5,3
+np.float32,0x3e83a71b,0xbffacdd2,3
+np.float32,0x3f6f0d4f,0xbdca61d5,3
+np.float32,0x7f5ab613,0x42ff8bb7,3
+np.float32,0x3ab1ec,0xc2fe3fea,3
+np.float32,0x4fbf58,0xc2fd5d82,3
+np.float32,0x3dea141b,0xc0484403,3
+np.float32,0x7d86ad3b,0x42f8258f,3
+np.float32,0x7f345315,0x42fefd29,3
+np.float32,0x3f3752fe,0xbef6a780,3
+np.float32,0x64830d,0xc2fcb293,3
+np.float32,0x3d9dc1eb,0xc06cb32a,3
+np.float32,0x3f2f935a,0xbf0b46f6,3
+np.float32,0xb90a4,0xc30177e3,3
+np.float32,0x4111dd,0xc2fdf3c1,3
+np.float32,0x3d4cd078,0xc08a4c68,3
+np.float32,0x3e95c3f1,0xbfe30011,3
+np.float32,0x3ec9f356,0xbfabcb4e,3
+np.float32,0x1b90d5,0xc3003717,3
+np.float32,0xee70f,0xc3011a3e,3
+np.float32,0x7fa00000,0x7fe00000,3
+np.float32,0x3f74cdb6,0xbd8422af,3
+np.float32,0x3d9b56fe,0xc06e2037,3
+np.float32,0x3f1853df,0xbf3fbc40,3
+np.float32,0x7d86a011,0x42f82547,3
+np.float32,0x3dff9629,0xc0402634,3
+np.float32,0x46f8c9,0xc2fdb39f,3
+np.float32,0x3e9b410b,0xbfdc5a87,3
+np.float32,0x3f5aed42,0xbe671cac,3
+np.float32,0x3b739886,0xc101257f,3
+np.float64,0x3fe2f58d6565eb1b,0xbfe82a641138e19a,2
+np.float64,0x3fee7f0642fcfe0d,0xbfb1c702f6974932,2
+np.float64,0x25b71f244b6e5,0xc090030d3b3c5d2b,2
+np.float64,0x8c9cc8e1193b,0xc0900b752a678fa8,2
+np.float64,0x3fd329b5d326536c,0xbffbd607f6db945c,2
+np.float64,0x3fb5109b3a2a2136,0xc00cd36bd15dfb18,2
+np.float64,0x3fd5393ae12a7276,0xbff97a7e4a157154,2
+np.float64,0x3fd374d1b926e9a3,0xbffb7c3e1a3a7ed3,2
+np.float64,0x3fe2c7f4e2658fea,0xbfe899f15ca78fcb,2
+np.float64,0x7fe3d6b81ee7ad6f,0x408ffa7b63d407ee,2
+np.float64,0x3fe086d097e10da1,0xbfee81456ce8dd03,2
+np.float64,0x7fd374a64ca6e94c,0x408ff241c7306d39,2
+np.float64,0x3fc0709a5b20e135,0xc007afdede31b29c,2
+np.float64,0x3fd4218f4b28431f,0xbffab2c696966e2d,2
+np.float64,0x143134c828628,0xc09006a8372c4d8a,2
+np.float64,0x3f8bd0aa0037a154,0xc018cf0e8b9c3107,2
+np.float64,0x7fe0ce905ee19d20,0x408ff8915e71bd67,2
+np.float64,0x3fda0f5f32b41ebe,0xbff4bd5e0869e820,2
+np.float64,0x7fe9ae63d0b35cc7,0x408ffd760ca4f292,2
+np.float64,0x3fe75abd9eeeb57b,0xbfdd1476fc8b3089,2
+np.float64,0x786c3110f0d87,0xc08ff8b44cedbeea,2
+np.float64,0x22c5fe80458d,0xc09013853591c2f2,2
+np.float64,0x3fdc250797384a0f,0xbff2f6a02c961f0b,2
+np.float64,0x3fa2b367b02566cf,0xc013199238485054,2
+np.float64,0x3fd26a910ca4d522,0xbffcc0e2089b1c0c,2
+np.float64,0x8068d3b300d1b,0xc08ff7f690210aac,2
+np.float64,0x3fe663bfa9ecc77f,0xbfe07cd95a43a5ce,2
+np.float64,0x3fd0ddb07321bb61,0xbffec886665e895e,2
+np.float64,0x3f91c730b0238e61,0xc0176452badc8d22,2
+np.float64,0x4dd10d309ba22,0xc08ffdbe738b1d8d,2
+np.float64,0x7fe322afa4a6455e,0x408ffa10c038f9de,2
+np.float64,0x7fdf7f7c42befef8,0x408ff7d147ddaad5,2
+np.float64,0x7fd673f386ace7e6,0x408ff3e920d00eef,2
+np.float64,0x3feaebfcadb5d7f9,0xbfcfe8ec27083478,2
+np.float64,0x3fdc6dc23738db84,0xbff2bb46794f07b8,2
+np.float64,0xcd8819599b103,0xc08ff288c5b2cf0f,2
+np.float64,0xfda00e77fb402,0xc08ff01b895d2236,2
+np.float64,0x840b02ff08161,0xc08ff7a41e41114c,2
+np.float64,0x3fbdce3a383b9c74,0xc008d1e61903a289,2
+np.float64,0x3fd24ed3c4a49da8,0xbffce3c12136b6d3,2
+np.float64,0x3fe8d0834131a107,0xbfd77b194e7051d4,2
+np.float64,0x3fdd0cb11aba1962,0xbff23b9dbd554455,2
+np.float64,0x1a32d97e3465c,0xc090052781a37271,2
+np.float64,0x3fdb09d2b1b613a5,0xbff3e396b862bd83,2
+np.float64,0x3fe04c848aa09909,0xbfef2540dd90103a,2
+np.float64,0x3fce0c48613c1891,0xc000b9f76877d744,2
+np.float64,0x3fc37109a226e213,0xc005c05d8b2b9a2f,2
+np.float64,0x81cf3837039e7,0xc08ff7d686517dff,2
+np.float64,0xd9342c29b2686,0xc08ff1e591c9a895,2
+np.float64,0x7fec731b0638e635,0x408ffea4884550a9,2
+np.float64,0x3fba0fc138341f82,0xc00a5e839b085f64,2
+np.float64,0x7fdda893b03b5126,0x408ff71f7c5a2797,2
+np.float64,0xd2a4bb03a5498,0xc08ff2402f7a907c,2
+np.float64,0x3fea61fb0d34c3f6,0xbfd1d293fbe76183,2
+np.float64,0x3fed5cf486fab9e9,0xbfbfc2e01a7ffff1,2
+np.float64,0x3fcbabc2bf375785,0xc001ad7750c9dbdf,2
+np.float64,0x3fdb5fff53b6bfff,0xbff39a7973a0c6a5,2
+np.float64,0x7feef05a00bde0b3,0x408fff9c5cbc8651,2
+np.float64,0xb1cf24f1639e5,0xc08ff434de10fffb,2
+np.float64,0x3fa583989c2b0731,0xc0124a8a3bbf18ce,2
+np.float64,0x7feae90bf9f5d217,0x408ffe002e7bbbea,2
+np.float64,0x3fe9ef41c4b3de84,0xbfd367878ae4528e,2
+np.float64,0x9be24ce337c4a,0xc08ff5b9b1c31cf9,2
+np.float64,0x3fe916894cb22d13,0xbfd677f915d58503,2
+np.float64,0x3fec1bab20f83756,0xbfc7f2777aabe8ee,2
+np.float64,0x3feaabf2873557e5,0xbfd0d11f28341233,2
+np.float64,0x3fd4d3c3b529a787,0xbff9e9e47acc8ca9,2
+np.float64,0x3fe4cfe96c699fd3,0xbfe3dc53fa739169,2
+np.float64,0xccfdb97399fb7,0xc08ff2908d893400,2
+np.float64,0x3fec7598be78eb31,0xbfc5a750f8f3441a,2
+np.float64,0x355be5fc6ab7e,0xc090010ca315b50b,2
+np.float64,0x3fba9f9074353f21,0xc00a1f80eaf5e581,2
+np.float64,0x7fdcaff189395fe2,0x408ff6bd1c5b90d9,2
+np.float64,0x3fd94d3b64b29a77,0xbff56be1b43d25f3,2
+np.float64,0x4e5f29949cbe6,0xc08ffda972da1d73,2
+np.float64,0x3fe654e2d9aca9c6,0xbfe09b88dcd8f15d,2
+np.float64,0x7fdc130190b82602,0x408ff67d496c1a27,2
+np.float64,0x3fbcd4701e39a8e0,0xc009343e36627e80,2
+np.float64,0x7fdaa4d38f3549a6,0x408ff5e2c6d8678f,2
+np.float64,0x3febe95e5237d2bd,0xbfc93e16d453fe3a,2
+np.float64,0x9ef5ca553deba,0xc08ff57ff4f7883d,2
+np.float64,0x7fe878e91170f1d1,0x408ffce795868fc8,2
+np.float64,0x3fe63dff466c7bff,0xbfe0caf2b79c9e5f,2
+np.float64,0x6561446ccac29,0xc08ffab0e383834c,2
+np.float64,0x30c6c2ae618d9,0xc09001914b30381b,2
+np.float64,0x7ff0000000000000,0x7ff0000000000000,2
+np.float64,0x3fe5c9daf1ab93b6,0xbfe1be81baf4dbdb,2
+np.float64,0x3fe0a03e24a1407c,0xbfee3a73c4c0e8f8,2
+np.float64,0xff2a2cf3fe546,0xc08ff009a7e6e782,2
+np.float64,0x7fcf0332213e0663,0x408fefa36235e210,2
+np.float64,0x3fb612affc2c2560,0xc00c494be9c8c33b,2
+np.float64,0x3fd2b259702564b3,0xbffc67967f077e75,2
+np.float64,0x7fcb63685d36c6d0,0x408fee343343f913,2
+np.float64,0x3fe369f1d5a6d3e4,0xbfe71251139939ad,2
+np.float64,0x3fdd17c618ba2f8c,0xbff232d11c986251,2
+np.float64,0x3f92cc8040259901,0xc01711d8e06b52ee,2
+np.float64,0x69a81dc2d3504,0xc08ffa36cdaf1141,2
+np.float64,0x3fea0fad99b41f5b,0xbfd2f4625a652645,2
+np.float64,0xd1cd5799a39ab,0xc08ff24c02b90d26,2
+np.float64,0x324e59ce649cc,0xc0900163ad091c76,2
+np.float64,0x3fc3d460a227a8c1,0xc00585f903dc7a7f,2
+np.float64,0xa7185ec74e30c,0xc08ff4ec7d65ccd9,2
+np.float64,0x3fa254eaac24a9d5,0xc01337053963321a,2
+np.float64,0x3feaeb112435d622,0xbfcfef3be17f81f6,2
+np.float64,0x60144c3ac028a,0xc08ffb4f8eb94595,2
+np.float64,0x7fa4d2ec6829a5d8,0x408fdb0a9670ab83,2
+np.float64,0x3fed1372f97a26e6,0xbfc1b1fe50d48a55,2
+np.float64,0x3fd5ade5972b5bcb,0xbff8fcf28f525031,2
+np.float64,0x7fe72e335bee5c66,0x408ffc4759236437,2
+np.float64,0x7fdfafab143f5f55,0x408ff7e2e22a8129,2
+np.float64,0x3fe90d0db9321a1b,0xbfd69ae5fe10eb9e,2
+np.float64,0x7fe20a59072414b1,0x408ff962a2492484,2
+np.float64,0x3fed853690bb0a6d,0xbfbdc9dc5f199d2b,2
+np.float64,0x3fd709d469ae13a9,0xbff795a218deb700,2
+np.float64,0x3fe21c35f5e4386c,0xbfea47d71789329b,2
+np.float64,0x9ea5ec053d4be,0xc08ff585c2f6b7a3,2
+np.float64,0x3fc0580f9e20b01f,0xc007c1268f49d037,2
+np.float64,0xd99127abb3225,0xc08ff1e0a1ff339d,2
+np.float64,0x3fdc8c9bbfb91937,0xbff2a2478354effb,2
+np.float64,0x3fe15fc6b162bf8d,0xbfec323ac358e008,2
+np.float64,0xffefffffffffffff,0x7ff8000000000000,2
+np.float64,0x3fee341afb3c6836,0xbfb556b6faee9a84,2
+np.float64,0x3fe4b64c56296c99,0xbfe4154835ad2afe,2
+np.float64,0x85de22810bbc5,0xc08ff77b914fe5b5,2
+np.float64,0x3fd22c72e3a458e6,0xbffd0f4269d20bb9,2
+np.float64,0xc090e5218123,0xc09009a4a65a8a8f,2
+np.float64,0x7fd9641692b2c82c,0x408ff5547782bdfc,2
+np.float64,0x3fd9b9cb28b37396,0xbff509a8fb59a9f1,2
+np.float64,0x3fcd2726f93a4e4e,0xc001135059a22117,2
+np.float64,0x3fa4b493d4296928,0xc0128323c7a55f4a,2
+np.float64,0x47455e788e8ac,0xc08ffec2101c1e82,2
+np.float64,0x3fe0d7e2e261afc6,0xbfeda0f1e2d0f4bd,2
+np.float64,0x3fe860fc5b70c1f9,0xbfd91dc42eaf72c2,2
+np.float64,0xa5d7805b4baf0,0xc08ff502bc819ff6,2
+np.float64,0xd83395b1b0673,0xc08ff1f33c3f94c2,2
+np.float64,0x3f865972e02cb2e6,0xc01a1243651565c8,2
+np.float64,0x52fc6952a5f8e,0xc08ffd006b158179,2
+np.float64,0x7fecac6c793958d8,0x408ffebbb1c09a70,2
+np.float64,0x7fe621ff606c43fe,0x408ffbbeb2b1473a,2
+np.float64,0x3fdb9f3f9db73e7f,0xbff365610c52bda7,2
+np.float64,0x7feab92992757252,0x408ffdeb92a04813,2
+np.float64,0xcc46c79f988d9,0xc08ff29adf03fb7c,2
+np.float64,0x3fe3156a03262ad4,0xbfe7dd0f598781c7,2
+np.float64,0x3fc00e3a61201c75,0xc007f5c121a87302,2
+np.float64,0x3fdce8e9f739d1d4,0xbff2581d41ef50ef,2
+np.float64,0x0,0xfff0000000000000,2
+np.float64,0x7d373ac4fa6e8,0xc08ff840fa8beaec,2
+np.float64,0x3fee41e0653c83c1,0xbfb4ae786f2a0d54,2
+np.float64,0x3ff0000000000000,0x0,2
+np.float64,0x7feca6fff9794dff,0x408ffeb982a70556,2
+np.float64,0x7fc532716d2a64e2,0x408feb3f0f6c095b,2
+np.float64,0x3fe4ec2954a9d853,0xbfe39dd44aa5a040,2
+np.float64,0x7fd3321d52a6643a,0x408ff21a0ab9cd85,2
+np.float64,0x7fd8f1b2dfb1e365,0x408ff52001fa7922,2
+np.float64,0x3fee5e58cabcbcb2,0xbfb3539734a24d8b,2
+np.float64,0x3feebf6e7dfd7edd,0xbfad7c648f025102,2
+np.float64,0x6008026ec0101,0xc08ffb5108b54a93,2
+np.float64,0x3fea06f5e2340dec,0xbfd3134a48283360,2
+np.float64,0x41cad13c8395b,0xc08fffae654b2426,2
+np.float64,0x7fedb5c9353b6b91,0x408fff249f1f32b6,2
+np.float64,0xe00c5af9c018c,0xc08ff189e68c655f,2
+np.float64,0x7feac398ddf58731,0x408ffdf01374de9f,2
+np.float64,0x3fed21127c7a4225,0xbfc15b8cf55628fa,2
+np.float64,0x3fd3446711a688ce,0xbffbb5f7252a9fa3,2
+np.float64,0x7fe75fa07a6ebf40,0x408ffc5fdb096018,2
+np.float64,0x3feeb1618cbd62c3,0xbfaece3bd0863070,2
+np.float64,0x7f5226e180244dc2,0x408fb174d506e52f,2
+np.float64,0x3fcd67deca3acfbe,0xc000f9cd7a490749,2
+np.float64,0xdc6f30efb8de6,0xc08ff1b9f2a22d2e,2
+np.float64,0x9c14931338293,0xc08ff5b5f975ec5d,2
+np.float64,0x7fe93e802df27cff,0x408ffd4354eba0e0,2
+np.float64,0x3feb92ae5077255d,0xbfcb7f2084e44dbb,2
+np.float64,0xd78dbfddaf1b8,0xc08ff1fc19fa5a13,2
+np.float64,0x7fe14c301fa2985f,0x408ff8e666cb6592,2
+np.float64,0xbda3d8b77b47b,0xc08ff37689f4b2e5,2
+np.float64,0x8a42953b14853,0xc08ff71c2db3b8cf,2
+np.float64,0x7fe4ca7e186994fb,0x408ffb05e94254a7,2
+np.float64,0x7fe92ffc5e325ff8,0x408ffd3cb0265b12,2
+np.float64,0x91b262912364d,0xc08ff681619be214,2
+np.float64,0x33fe2b0667fc6,0xc0900132f3fab55e,2
+np.float64,0x3fde10e9183c21d2,0xbff17060fb4416c7,2
+np.float64,0xb6b811cb6d702,0xc08ff3e46303b541,2
+np.float64,0x3fe4a7bda0a94f7b,0xbfe435c6481cd0e3,2
+np.float64,0x7fd9fe6057b3fcc0,0x408ff599c79a822c,2
+np.float64,0x3fef44bf917e897f,0xbfa11484e351a6e9,2
+np.float64,0x3fe57d701daafae0,0xbfe2618ab40fc01b,2
+np.float64,0x7fe52d2adbaa5a55,0x408ffb3c2fb1c99d,2
+np.float64,0xb432f66d6865f,0xc08ff40d6b4084fe,2
+np.float64,0xbff0000000000000,0x7ff8000000000000,2
+np.float64,0x7fecd2292bf9a451,0x408ffecad860de6f,2
+np.float64,0x3fddd2ae153ba55c,0xbff1a059adaca33e,2
+np.float64,0x3fee55d6e5bcabae,0xbfb3bb1c6179d820,2
+np.float64,0x7fc1d0085623a010,0x408fe93d16ada7a7,2
+np.float64,0x829b000105360,0xc08ff7c47629a68f,2
+np.float64,0x7fe1e0257523c04a,0x408ff94782cf0717,2
+np.float64,0x7fd652f9ad2ca5f2,0x408ff3d820ec892e,2
+np.float64,0x3fef2246203e448c,0xbfa444ab6209d8cd,2
+np.float64,0x3fec6c0ae178d816,0xbfc5e559ebd4e790,2
+np.float64,0x3fe6ddfee92dbbfe,0xbfdf06dd7d3fa7a8,2
+np.float64,0x3fb7fbcbea2ff798,0xc00b5404d859d148,2
+np.float64,0x7feb9a154d37342a,0x408ffe4b26c29e55,2
+np.float64,0x3fe4db717aa9b6e3,0xbfe3c2c6b3ef13bc,2
+np.float64,0x3fbae17dda35c2fc,0xc00a030f7f4b37e7,2
+np.float64,0x7fd632b9082c6571,0x408ff3c76826ef19,2
+np.float64,0x7fc4184a15283093,0x408feaa14adf00be,2
+np.float64,0x3fe052d19920a5a3,0xbfef136b5df81a3e,2
+np.float64,0x7fe38b872b67170d,0x408ffa4f51aafc86,2
+np.float64,0x3fef9842d03f3086,0xbf92d3d2a21d4be2,2
+np.float64,0x9cea662139d4d,0xc08ff5a634810daa,2
+np.float64,0x3fe35f0855e6be11,0xbfe72c4b564e62aa,2
+np.float64,0x3fecee3d3779dc7a,0xbfc29ee942f8729e,2
+np.float64,0x3fe7903fd72f2080,0xbfdc41db9b5f4048,2
+np.float64,0xb958889572b11,0xc08ff3ba366cf84b,2
+np.float64,0x3fcb3a67c53674d0,0xc001dd21081ad1ea,2
+np.float64,0xe3b1b53fc7637,0xc08ff15a3505e1ce,2
+np.float64,0xe5954ae9cb2aa,0xc08ff141cbbf0ae4,2
+np.float64,0x3fe394af74e7295f,0xbfe6ad1d13f206e8,2
+np.float64,0x7fe21dd704643bad,0x408ff96f13f80c1a,2
+np.float64,0x3fd23a7cf02474fa,0xbffcfd7454117a05,2
+np.float64,0x7fe257515e24aea2,0x408ff99378764d52,2
+np.float64,0x7fe4c5d0a6e98ba0,0x408ffb03503cf939,2
+np.float64,0x3fadc2c1603b8583,0xc0106b2c17550e3a,2
+np.float64,0x3fc0f7f02421efe0,0xc007525ac446864c,2
+np.float64,0x3feaf0b27275e165,0xbfcfc8a03eaa32ad,2
+np.float64,0x5ce7503cb9ceb,0xc08ffbb2de365fa8,2
+np.float64,0x2a0014f654003,0xc090026e41761a0d,2
+np.float64,0x7fe2c848a8e59090,0x408ff9d9b723ee89,2
+np.float64,0x7f66f54bc02dea97,0x408fbc2ae0ec5623,2
+np.float64,0xa35a890146b6,0xc0900a97b358ddbd,2
+np.float64,0x7fee267ded7c4cfb,0x408fff501560c9f5,2
+np.float64,0x3fe07c328520f865,0xbfee9ef7c3435b58,2
+np.float64,0x3fe67122cf6ce246,0xbfe06147001932ba,2
+np.float64,0x3fdacc8925359912,0xbff41824cece219e,2
+np.float64,0xffa3047fff461,0xc08ff00431ec9be3,2
+np.float64,0x3e1af43e7c35f,0xc090002c6573d29b,2
+np.float64,0x86fa94590df53,0xc08ff7632525ed92,2
+np.float64,0x7fec4c76227898eb,0x408ffe94d032c657,2
+np.float64,0x7fe2274ce1e44e99,0x408ff975194cfdff,2
+np.float64,0x7fe670e1b4ace1c2,0x408ffbe78cc451de,2
+np.float64,0x7fe853871db0a70d,0x408ffcd5e6a6ff47,2
+np.float64,0x3fcbf265db37e4cc,0xc0019026336e1176,2
+np.float64,0x3fef033cef3e067a,0xbfa726712eaae7f0,2
+np.float64,0x5d74973abae94,0xc08ffba15e6bb992,2
+np.float64,0x7fdd9c99b6bb3932,0x408ff71ad24a7ae0,2
+np.float64,0xbdc8e09b7b91c,0xc08ff3744939e9a3,2
+np.float64,0xdbfcff71b7fa0,0xc08ff1bfeecc9dfb,2
+np.float64,0xf9b38cf5f3672,0xc08ff0499af34a43,2
+np.float64,0x3fea820aa6b50415,0xbfd162a38e1927b1,2
+np.float64,0x3fe67f59a12cfeb3,0xbfe04412adca49dc,2
+np.float64,0x3feb301d9c76603b,0xbfce17e6edeb92d5,2
+np.float64,0x828ce00b0519c,0xc08ff7c5b5c57cde,2
+np.float64,0x4f935e229f26c,0xc08ffd7c67c1c54f,2
+np.float64,0x7fcd139e023a273b,0x408feee4f12ff11e,2
+np.float64,0x666a9944ccd54,0xc08ffa92d5e5cd64,2
+np.float64,0x3fe792f0fa6f25e2,0xbfdc374fda28f470,2
+np.float64,0xe996029bd32c1,0xc08ff10eb9b47a11,2
+np.float64,0x3fe7b0dd1eef61ba,0xbfdbc2676dc77db0,2
+np.float64,0x7fd3ec0127a7d801,0x408ff287bf47e27d,2
+np.float64,0x3fe793a8ea6f2752,0xbfdc347f7717e48d,2
+np.float64,0x7fdb89d15e3713a2,0x408ff64457a13ea2,2
+np.float64,0x3fe35b3cbbe6b679,0xbfe73557c8321b70,2
+np.float64,0x66573c94ccae8,0xc08ffa9504af7eb5,2
+np.float64,0x3fc620a2302c4144,0xc00442036b944a67,2
+np.float64,0x49b2fe0693660,0xc08ffe5f131c3c7e,2
+np.float64,0x7fda936cdfb526d9,0x408ff5db3ab3f701,2
+np.float64,0xc774ceef8ee9a,0xc08ff2e16d082fa1,2
+np.float64,0x4da9f8a09b55,0xc0900ee2206d0c88,2
+np.float64,0x3fe2ca5d5ae594bb,0xbfe89406611a5f1a,2
+np.float64,0x7fe0832497e10648,0x408ff85d1de6056e,2
+np.float64,0x3fe6a9e3222d53c6,0xbfdfda35a9bc2de1,2
+np.float64,0x3fed3d92c8ba7b26,0xbfc0a73620db8b98,2
+np.float64,0x3fdd2ec093ba5d81,0xbff2209cf78ce3f1,2
+np.float64,0x62fcb968c5f98,0xc08ffaf775a593c7,2
+np.float64,0xfcfb019ff9f60,0xc08ff0230e95bd16,2
+np.float64,0x3fd7a63e8f2f4c7d,0xbff6faf4fff7dbe0,2
+np.float64,0x3fef23b0ec3e4762,0xbfa4230cb176f917,2
+np.float64,0x340d1e6a681a5,0xc09001314b68a0a2,2
+np.float64,0x7fc0b85ba02170b6,0x408fe8821487b802,2
+np.float64,0x7fe9976e84f32edc,0x408ffd6bb6aaf467,2
+np.float64,0x329a0e9e65343,0xc090015b044e3270,2
+np.float64,0x3fea4928d3f49252,0xbfd2299b05546eab,2
+np.float64,0x3f188c70003118e0,0xc02ac3ce23bc5d5a,2
+np.float64,0x3fecce5020b99ca0,0xbfc36b23153d5f50,2
+np.float64,0x3fe203873e24070e,0xbfea86edb3690830,2
+np.float64,0x3fe02d9eaa205b3d,0xbfef7d18c54a76d2,2
+np.float64,0xef7537ebdeea7,0xc08ff0c55e9d89e7,2
+np.float64,0x3fedf7572efbeeae,0xbfb840af357cf07c,2
+np.float64,0xd1a97a61a354,0xc0900926fdfb96cc,2
+np.float64,0x7fe6a0daeced41b5,0x408ffc001edf1407,2
+np.float64,0x3fe5063625aa0c6c,0xbfe3647cfb949d62,2
+np.float64,0x7fe9b28d31736519,0x408ffd77eb4a922b,2
+np.float64,0x7feea90d033d5219,0x408fff81a4bbff62,2
+np.float64,0x3fe9494d17f2929a,0xbfd5bde02eb5287a,2
+np.float64,0x7feee17a8cbdc2f4,0x408fff96cf0dc16a,2
+np.float64,0xb2ad18ef655a3,0xc08ff4267eda8af8,2
+np.float64,0x3fad3b52683a76a5,0xc01085ab75b797ce,2
+np.float64,0x2300a65846016,0xc090037b81ce9500,2
+np.float64,0x3feb1041f9b62084,0xbfcef0c87d8b3249,2
+np.float64,0x3fdd887d3e3b10fa,0xbff1da0e1ede6db2,2
+np.float64,0x3fd3e410eb27c822,0xbffaf9b5fc9cc8cc,2
+np.float64,0x3fe0aa53e3e154a8,0xbfee1e7b5c486578,2
+np.float64,0x7fe33e389aa67c70,0x408ffa214fe50961,2
+np.float64,0x3fd27e3a43a4fc75,0xbffca84a79e8adeb,2
+np.float64,0x3fb309e0082613c0,0xc00dfe407b77a508,2
+np.float64,0x7feaf2ed8cf5e5da,0x408ffe046a9d1ba9,2
+np.float64,0x1e76167a3cec4,0xc0900448cd35ec67,2
+np.float64,0x3fe0a18e1721431c,0xbfee36cf1165a0d4,2
+np.float64,0x3fa73b78c02e76f2,0xc011d9069823b172,2
+np.float64,0x3fef6d48287eda90,0xbf9ab2d08722c101,2
+np.float64,0x8fdf0da31fbe2,0xc08ff6a6a2accaa1,2
+np.float64,0x3fc3638db826c71b,0xc005c86191688826,2
+np.float64,0xaa9c09c555381,0xc08ff4aefe1d9473,2
+np.float64,0x7fccb0f4523961e8,0x408feebd84773f23,2
+np.float64,0xede75dcfdbcec,0xc08ff0d89ba887d1,2
+np.float64,0x7f8a051520340a29,0x408fcd9cc17f0d95,2
+np.float64,0x3fef5ca2babeb945,0xbf9dc221f3618e6a,2
+np.float64,0x7fea0ff4bcf41fe8,0x408ffda193359f22,2
+np.float64,0x7fe05c53fd20b8a7,0x408ff841dc7123e8,2
+np.float64,0x3fc625664b2c4acd,0xc0043f8749b9a1d8,2
+np.float64,0x7fed58f98f7ab1f2,0x408fff00585f48c2,2
+np.float64,0x3fb3e5e51427cbca,0xc00d7bcb6528cafe,2
+np.float64,0x3fe728bd3d6e517a,0xbfdddafa72bd0f60,2
+np.float64,0x3fe3f005dd27e00c,0xbfe5d7b3ec93bca0,2
+np.float64,0x3fd74fbd1a2e9f7a,0xbff750001b63ce81,2
+np.float64,0x3fd3af6d85a75edb,0xbffb371d678d11b4,2
+np.float64,0x7fa690ad8c2d215a,0x408fdbf7db9c7640,2
+np.float64,0x3fbdfd38e23bfa72,0xc008bfc1c5c9b89e,2
+np.float64,0x3fe2374684a46e8d,0xbfea030c4595dfba,2
+np.float64,0x7fc0806c372100d7,0x408fe85b36fee334,2
+np.float64,0x3fef3ac47b7e7589,0xbfa2007195c5213f,2
+np.float64,0x3fb55473922aa8e7,0xc00cae7af8230e0c,2
+np.float64,0x7fe018dc152031b7,0x408ff811e0d712fa,2
+np.float64,0x3fe3b3fca56767f9,0xbfe6638ae2c99c62,2
+np.float64,0x7fac79818c38f302,0x408fdea720b39c3c,2
+np.float64,0x7fefffffffffffff,0x4090000000000000,2
+np.float64,0xd2b290cba5652,0xc08ff23f6d7152a6,2
+np.float64,0x7fc5848eb52b091c,0x408feb6b6f8b77d0,2
+np.float64,0xf399f62de733f,0xc08ff092ae319ad8,2
+np.float64,0x7fdec56c12bd8ad7,0x408ff78c4ddbc667,2
+np.float64,0x3fca640f1e34c81e,0xc0023969c5cbfa4c,2
+np.float64,0x3fd55225db2aa44c,0xbff95f7442a2189e,2
+np.float64,0x7fefa009a97f4012,0x408fffdd2f42ef9f,2
+np.float64,0x4a3b70609478,0xc0900f24e449bc3d,2
+np.float64,0x7fe3738b1ba6e715,0x408ffa411f2cb5e7,2
+np.float64,0x7fe5e53f0b6bca7d,0x408ffb9ed8d95cea,2
+np.float64,0x3fe274dd24a4e9ba,0xbfe967fb114b2a83,2
+np.float64,0x3fcbc58b8c378b17,0xc001a2bb1e158bcc,2
+np.float64,0x3fefc2c0043f8580,0xbf862c9b464dcf38,2
+np.float64,0xc2c4fafd858a0,0xc08ff327aecc409b,2
+np.float64,0x3fd8bc39a9b17873,0xbff5f1ad46e5a51c,2
+np.float64,0x3fdf341656be682d,0xbff094f41e7cb4c4,2
+np.float64,0x3fef8495c13f092c,0xbf966cf6313bae4c,2
+np.float64,0x3fe14e0f05229c1e,0xbfec6166f26b7161,2
+np.float64,0x3fed42d3b2ba85a7,0xbfc0860b773d35d8,2
+np.float64,0x7fd92bbac5b25775,0x408ff53abcb3fe0c,2
+np.float64,0xb1635b6f62c6c,0xc08ff43bdf47accf,2
+np.float64,0x4a3a2dbc94746,0xc08ffe49fabddb36,2
+np.float64,0x87d831290fb06,0xc08ff750419dc6fb,2
+np.float64,0x3fec4713f7f88e28,0xbfc6d6217c9f5cf9,2
+np.float64,0x7fed43ba2d3a8773,0x408ffef7fa2fc303,2
+np.float64,0x7fd1ec5b56a3d8b6,0x408ff14f62615f1e,2
+np.float64,0x3fee534b6c7ca697,0xbfb3da1951aa3e68,2
+np.float64,0x3febb564c2b76aca,0xbfca9737062e55e7,2
+np.float64,0x943e6b0f287ce,0xc08ff64e2d09335c,2
+np.float64,0xf177d957e2efb,0xc08ff0acab2999fa,2
+np.float64,0x7fb5b881a82b7102,0x408fe3872b4fde5e,2
+np.float64,0x3fdb2b4a97b65695,0xbff3c715c91359bc,2
+np.float64,0x3fac0a17e4381430,0xc010c330967309fb,2
+np.float64,0x7fd8057990b00af2,0x408ff4b0a287a348,2
+np.float64,0x1f9026a23f206,0xc09004144f3a19dd,2
+np.float64,0x3fdb2977243652ee,0xbff3c8a2fd05803d,2
+np.float64,0x3fe0f6e74b21edcf,0xbfed4c3bb956bae0,2
+np.float64,0xde9cc3bbbd399,0xc08ff19ce5c1e762,2
+np.float64,0x3fe72ce106ae59c2,0xbfddca7ab14ceba2,2
+np.float64,0x3fa8ee14e031dc2a,0xc01170d54ca88e86,2
+np.float64,0x3fe0b09bbb216137,0xbfee0d189a95b877,2
+np.float64,0x7fdfdcb157bfb962,0x408ff7f33cf2afea,2
+np.float64,0x3fef84d5f53f09ac,0xbf966134e2a154f4,2
+np.float64,0x3fea0e0b1bb41c16,0xbfd2fa2d36637d19,2
+np.float64,0x1ab76fd6356ef,0xc090050a9616ffbd,2
+np.float64,0x7fd0ccf79a2199ee,0x408ff09045af2dee,2
+np.float64,0x7fea929345f52526,0x408ffddadc322b07,2
+np.float64,0x3fe9ef629cf3dec5,0xbfd367129c166838,2
+np.float64,0x3feedf0ea2fdbe1d,0xbfaa862afca44c00,2
+np.float64,0x7fce725f723ce4be,0x408fef6cfd2769a8,2
+np.float64,0x7fe4313b3ca86275,0x408ffaaf9557ef8c,2
+np.float64,0xe2d46463c5a8d,0xc08ff165725c6b08,2
+np.float64,0x7fbacb4ace359695,0x408fe5f3647bd0d5,2
+np.float64,0x3fbafd009635fa01,0xc009f745a7a5c5d5,2
+np.float64,0x3fe3cea66ce79d4d,0xbfe6253b895e2838,2
+np.float64,0x7feaa71484354e28,0x408ffde3c0bad2a6,2
+np.float64,0x3fd755b8b42eab71,0xbff74a1444c6e654,2
+np.float64,0x3fc313e2172627c4,0xc005f830e77940c3,2
+np.float64,0x12d699a225ad4,0xc090070ec00f2338,2
+np.float64,0x3fa975fe8432ebfd,0xc01151b3da48b3f9,2
+np.float64,0x7fdce3103b39c61f,0x408ff6d19b3326fa,2
+np.float64,0x7fd341cbba268396,0x408ff2237490fdca,2
+np.float64,0x3fd8405885b080b1,0xbff6666d8802a7d5,2
+np.float64,0x3fe0f0cca3a1e199,0xbfed5cdb3e600791,2
+np.float64,0x7fbd56680c3aaccf,0x408fe6ff55bf378d,2
+np.float64,0x3f939c4f3027389e,0xc016d364dd6313fb,2
+np.float64,0x3fe9e87fac73d0ff,0xbfd37f9a2be4fe38,2
+np.float64,0x7fc93c6a883278d4,0x408fed4260e614f1,2
+np.float64,0x7fa88c0ff031181f,0x408fdcf09a46bd3a,2
+np.float64,0xd5487f99aa910,0xc08ff21b6390ab3b,2
+np.float64,0x3fe34acc96e69599,0xbfe75c9d290428fb,2
+np.float64,0x3fd17f5964a2feb3,0xbffdef50b524137b,2
+np.float64,0xe23dec0dc47be,0xc08ff16d1ce61dcb,2
+np.float64,0x3fec8bd64fb917ad,0xbfc5173941614b8f,2
+np.float64,0x3fc81d97d7303b30,0xc00343ccb791401d,2
+np.float64,0x7fe79ad18e2f35a2,0x408ffc7cf0ab0f2a,2
+np.float64,0x3f96306b402c60d7,0xc0161ce54754cac1,2
+np.float64,0xfb09fc97f6140,0xc08ff039d1d30123,2
+np.float64,0x3fec9c4afa793896,0xbfc4ace43ee46079,2
+np.float64,0x3f9262dac824c5b6,0xc01732a3a7eeb598,2
+np.float64,0x3fa5cd33f42b9a68,0xc01236ed4d315a3a,2
+np.float64,0x3fe7bb336caf7667,0xbfdb9a268a82e267,2
+np.float64,0xc6c338f98d867,0xc08ff2ebb8475bbc,2
+np.float64,0x3fd50714482a0e29,0xbff9b14a9f84f2c2,2
+np.float64,0xfff0000000000000,0x7ff8000000000000,2
+np.float64,0x3fde2cd0f93c59a2,0xbff15afe35a43a37,2
+np.float64,0xf1719cb9e2e34,0xc08ff0acf77b06d3,2
+np.float64,0xfd3caaf9fa796,0xc08ff020101771bd,2
+np.float64,0x7f750d63a02a1ac6,0x408fc32ad0caa362,2
+np.float64,0x7fcc50f4e238a1e9,0x408fee96a5622f1a,2
+np.float64,0x421d1da0843a4,0xc08fff9ffe62d869,2
+np.float64,0x3fd9e17023b3c2e0,0xbff4e631d687ee8e,2
+np.float64,0x3fe4999a09693334,0xbfe4556b3734c215,2
+np.float64,0xd619ef03ac33e,0xc08ff21013c85529,2
+np.float64,0x3fc4da522229b4a4,0xc004f150b2c573aa,2
+np.float64,0x3feb04b053b60961,0xbfcf3fc9e00ebc40,2
+np.float64,0x3fbedec5ea3dbd8c,0xc0086a33dc22fab5,2
+np.float64,0x7fec3b217ab87642,0x408ffe8dbc8ca041,2
+np.float64,0xdb257d33b64b0,0xc08ff1cb42d3c182,2
+np.float64,0x7fa2d92ec025b25d,0x408fd9e414d11cb0,2
+np.float64,0x3fa425c550284b8b,0xc012ab7cbf83be12,2
+np.float64,0x10b4869021692,0xc09007c0487d648a,2
+np.float64,0x7f97918c902f2318,0x408fd47867806574,2
+np.float64,0x3fe4f91238e9f224,0xbfe38160b4e99919,2
+np.float64,0x3fc2b1af6125635f,0xc00634343bc58461,2
+np.float64,0x3fc2a98071255301,0xc0063942bc8301be,2
+np.float64,0x3fe4cfc585299f8b,0xbfe3dca39f114f34,2
+np.float64,0x3fd1ea75b3a3d4eb,0xbffd63acd02c5406,2
+np.float64,0x3fd6bf48492d7e91,0xbff7e0cd249f80f9,2
+np.float64,0x76643d36ecc88,0xc08ff8e68f13b38c,2
+np.float64,0x7feeabab3e7d5755,0x408fff82a0fd4501,2
+np.float64,0x46c0d4a68d81b,0xc08ffed79abaddc9,2
+np.float64,0x3fd088d57ca111ab,0xbfff3dd0ed7128ea,2
+np.float64,0x3fed25887cba4b11,0xbfc13f47639bd645,2
+np.float64,0x7fd90984b4b21308,0x408ff52b022c7fb4,2
+np.float64,0x3fe6ef31daadde64,0xbfdec185760cbf21,2
+np.float64,0x3fe48dbe83291b7d,0xbfe47005b99920bd,2
+np.float64,0x3fdce8422f39d084,0xbff258a33a96cc8e,2
+np.float64,0xb8ecdef771d9c,0xc08ff3c0eca61b10,2
+np.float64,0x3fe9bbf9a03377f3,0xbfd41ecfdcc336b9,2
+np.float64,0x7fe2565339a4aca5,0x408ff992d8851eaf,2
+np.float64,0x3fe1693e3822d27c,0xbfec1919da2ca697,2
+np.float64,0x3fd3680488a6d009,0xbffb8b7330275947,2
+np.float64,0x7fbe4f3d2c3c9e79,0x408fe75fa3f4e600,2
+np.float64,0x7fd4cfef3ca99fdd,0x408ff308ee3ab50f,2
+np.float64,0x3fd9c9a51cb3934a,0xbff4fb7440055ce6,2
+np.float64,0x3fe08a9640a1152d,0xbfee76bd1bfbf5c2,2
+np.float64,0x3fef012c41fe0259,0xbfa757a2da7f9707,2
+np.float64,0x3fee653fe2fcca80,0xbfb2ffae0c95025c,2
+np.float64,0x7fd0776933a0eed1,0x408ff054e7b43d41,2
+np.float64,0x4c94e5c09929d,0xc08ffdedb7f49e5e,2
+np.float64,0xca3e3d17947c8,0xc08ff2b86dce2f7a,2
+np.float64,0x3fb528e1342a51c2,0xc00cc626c8e2d9ba,2
+np.float64,0xd774df81aee9c,0xc08ff1fd6f0a7548,2
+np.float64,0x3fc47a9b6128f537,0xc00526c577b80849,2
+np.float64,0x3fe29a6f6a6534df,0xbfe90a5f83644911,2
+np.float64,0x3fecda4f59f9b49f,0xbfc31e4a80c4cbb6,2
+np.float64,0x7fe51d44f5aa3a89,0x408ffb3382437426,2
+np.float64,0x3fd677fc412ceff9,0xbff82999086977e7,2
+np.float64,0x3fe2a3c7e7254790,0xbfe8f33415cdba9d,2
+np.float64,0x3fe6d8d1dc6db1a4,0xbfdf1bc61bc24dff,2
+np.float64,0x7febb32d8ef7665a,0x408ffe55a043ded1,2
+np.float64,0x60677860c0d0,0xc0900da2caa7d571,2
+np.float64,0x7390c2e0e7219,0xc08ff92df18bb5d2,2
+np.float64,0x3fca53711b34a6e2,0xc00240b07a9b529b,2
+np.float64,0x7fe7ce6dd8ef9cdb,0x408ffc961164ead9,2
+np.float64,0x7fc0c9de0d2193bb,0x408fe88e245767f6,2
+np.float64,0xc0ee217981dc4,0xc08ff343b77ea770,2
+np.float64,0x72bd4668e57a9,0xc08ff94323fd74fc,2
+np.float64,0x7fd6970e252d2e1b,0x408ff3fb1e2fead2,2
+np.float64,0x7fdcb61040396c20,0x408ff6bf926bc98f,2
+np.float64,0xda4faa25b49f6,0xc08ff1d68b3877f0,2
+np.float64,0x3feb344749f6688f,0xbfcdfba2d66c72c5,2
+np.float64,0x3fe2aa4284e55485,0xbfe8e32ae0683f57,2
+np.float64,0x3f8e8fcfd03d1fa0,0xc01843efb2129908,2
+np.float64,0x8000000000000000,0xfff0000000000000,2
+np.float64,0x3fd8e01155b1c023,0xbff5d0529dae9515,2
+np.float64,0x3fe8033f3370067e,0xbfda837c80b87e7c,2
+np.float64,0x7fc5bf831e2b7f05,0x408feb8ae3b039a0,2
+np.float64,0x3fd8dcdf5331b9bf,0xbff5d349e1ed422a,2
+np.float64,0x3fe58b4e302b169c,0xbfe243c9cbccde44,2
+np.float64,0x3fea8a2e47b5145d,0xbfd1464e37221894,2
+np.float64,0x75cd1e88eb9a4,0xc08ff8f553ef0475,2
+np.float64,0x7fcfc876e23f90ed,0x408fefebe6cc95e6,2
+np.float64,0x7f51aceb002359d5,0x408fb1263f9003fb,2
+np.float64,0x7fc2a1b877254370,0x408fe9c1ec52f8b9,2
+np.float64,0x7fd495810e292b01,0x408ff2e859414d31,2
+np.float64,0x7fd72048632e4090,0x408ff440690cebdb,2
+np.float64,0x7fd7aafaffaf6,0xc08ff803a390779f,2
+np.float64,0x7fe18067d4a300cf,0x408ff9090a02693f,2
+np.float64,0x3fdc1080f8b82102,0xbff3077bf44a89bd,2
+np.float64,0x3fc34a462f26948c,0xc005d777b3cdf139,2
+np.float64,0x3fe21e4a1fe43c94,0xbfea428acfbc6ea9,2
+np.float64,0x1f0d79083e1b0,0xc090042c65a7abf2,2
+np.float64,0x3fe8d0d15931a1a3,0xbfd779f6bbd4db78,2
+np.float64,0x3fe74578022e8af0,0xbfdd68b6c15e9f5e,2
+np.float64,0x50995dd0a132c,0xc08ffd56a5c8accf,2
+np.float64,0x3f9a6342b034c685,0xc0151ce1973c62bd,2
+np.float64,0x3f30856a00210ad4,0xc027e852f4d1fcbc,2
+np.float64,0x3febcf7646b79eed,0xbfc9e9cc9d12425c,2
+np.float64,0x8010000000000000,0x7ff8000000000000,2
+np.float64,0x3fdf520c02bea418,0xbff07ed5013f3062,2
+np.float64,0x3fe5433ecbea867e,0xbfe2df38968b6d14,2
+np.float64,0x3fb933a84e326751,0xc00ac1a144ad26c5,2
+np.float64,0x7b6d72c2f6daf,0xc08ff86b7a67f962,2
+np.float64,0xaef5dae75debc,0xc08ff46496bb2932,2
+np.float64,0x522d869aa45b1,0xc08ffd1d55281e98,2
+np.float64,0xa2462b05448c6,0xc08ff542fe0ac5fd,2
+np.float64,0x3fe2b71dd6e56e3c,0xbfe8c3690cf15415,2
+np.float64,0x3fe5778231aaef04,0xbfe26e495d09b783,2
+np.float64,0x3fe9b8d564f371ab,0xbfd42a161132970d,2
+np.float64,0x3f89ebc34033d787,0xc019373f90bfc7f1,2
+np.float64,0x3fe438ddc6e871bc,0xbfe53039341b0a93,2
+np.float64,0x873c75250e78f,0xc08ff75d8478dccd,2
+np.float64,0x807134cb00e27,0xc08ff7f5cf59c57a,2
+np.float64,0x3fac459878388b31,0xc010b6fe803bcdc2,2
+np.float64,0xca9dc7eb953b9,0xc08ff2b2fb480784,2
+np.float64,0x7feb38587bb670b0,0x408ffe21ff6d521e,2
+np.float64,0x7fd70e9b782e1d36,0x408ff437936b393a,2
+np.float64,0x3fa4037bbc2806f7,0xc012b55744c65ab2,2
+np.float64,0x3fd3d4637427a8c7,0xbffb0beebf4311ef,2
+np.float64,0x7fdabbda5db577b4,0x408ff5ecbc0d4428,2
+np.float64,0x7fda9be0a2b537c0,0x408ff5dee5d03d5a,2
+np.float64,0x7fe9c74396338e86,0x408ffd813506a18a,2
+np.float64,0x3fd058243e20b048,0xbfff822ffd8a7f21,2
+np.float64,0x3fe6aa6ca9ed54d9,0xbfdfd805629ff49e,2
+np.float64,0x3fd91431d5322864,0xbff5a025eea8c78b,2
+np.float64,0x7fe4d7f02329afdf,0x408ffb0d5d9b7878,2
+np.float64,0x3fe2954a12252a94,0xbfe917266e3e22d5,2
+np.float64,0x3fb25f7c8224bef9,0xc00e6764c81b3718,2
+np.float64,0x3fda4bddeeb497bc,0xbff4880638908c81,2
+np.float64,0x55dfd12eabbfb,0xc08ffc9b54ff4002,2
+np.float64,0x3fe8f399e031e734,0xbfd6f8e5c4dcd93f,2
+np.float64,0x3fd954a24832a945,0xbff56521f4707a06,2
+np.float64,0x3fdea911f2bd5224,0xbff0fcb2d0c2b2e2,2
+np.float64,0x3fe6b4ff8a2d69ff,0xbfdfacfc85cafeab,2
+np.float64,0x3fc7fa02042ff404,0xc00354e13b0767ad,2
+np.float64,0x3fe955088c72aa11,0xbfd593130f29949e,2
+np.float64,0xd7e74ec1afcea,0xc08ff1f74f61721c,2
+np.float64,0x3fe9d69c1ab3ad38,0xbfd3bf710a337e06,2
+np.float64,0x3fd85669a2b0acd3,0xbff65176143ccc1e,2
+np.float64,0x3fea99b285353365,0xbfd11062744783f2,2
+np.float64,0x3fe2c79f80a58f3f,0xbfe89ac33f990289,2
+np.float64,0x3f8332ba30266574,0xc01af2cb7b635783,2
+np.float64,0x30d0150061a1,0xc090119030f74c5d,2
+np.float64,0x3fdbf4cb06b7e996,0xbff31e5207aaa754,2
+np.float64,0x3fe6b56c216d6ad8,0xbfdfab42fb2941c5,2
+np.float64,0x7fc4dc239829b846,0x408feb0fb0e13fbe,2
+np.float64,0x3fd0ab85ef21570c,0xbfff0d95d6c7a35c,2
+np.float64,0x7fe13d75e5e27aeb,0x408ff8dc8efa476b,2
+np.float64,0x3fece3b832f9c770,0xbfc2e21b165d583f,2
+np.float64,0x3fe3a279c4e744f4,0xbfe68ca4fbb55dbf,2
+np.float64,0x3feb64659ef6c8cb,0xbfccb6204b6bf724,2
+np.float64,0x2279a6bc44f36,0xc0900391eeeb3e7c,2
+np.float64,0xb88046d571009,0xc08ff3c7b5b45300,2
+np.float64,0x7ff4000000000000,0x7ffc000000000000,2
+np.float64,0x3fe49af059a935e1,0xbfe4526c294f248f,2
+np.float64,0xa3e5508147cc,0xc0900a92ce5924b1,2
+np.float64,0x7fc56def3d2adbdd,0x408feb5f46c360e8,2
+np.float64,0x7fd99f3574333e6a,0x408ff56f3807987c,2
+np.float64,0x3fdc38d56fb871ab,0xbff2e667cad8f36a,2
+np.float64,0xd0b03507a1607,0xc08ff25bbcf8aa9d,2
+np.float64,0xc493f9078927f,0xc08ff30c5fa4e759,2
+np.float64,0x3fc86ddbcb30dbb8,0xc0031da1fcb56d75,2
+np.float64,0x7fe75dc395aebb86,0x408ffc5eef841491,2
+np.float64,0x1647618a2c8ed,0xc0900616ef9479c1,2
+np.float64,0xdf144763be289,0xc08ff196b527f3c9,2
+np.float64,0x3fe0b29da6a1653b,0xbfee078b5f4d7744,2
+np.float64,0x3feb055852b60ab1,0xbfcf3b4db5779a7a,2
+np.float64,0x3fe8bc1625f1782c,0xbfd7c739ade904bc,2
+np.float64,0x7fd19bfb8ea337f6,0x408ff11b2b55699c,2
+np.float64,0x3fed1d80d1ba3b02,0xbfc1722e8d3ce094,2
+np.float64,0x2d9c65925b38e,0xc09001f46bcd3bc5,2
+np.float64,0x7fed6f4d857ade9a,0x408fff091cf6a3b4,2
+np.float64,0x3fd070cd6ba0e19b,0xbfff5f7609ca29e8,2
+np.float64,0x7fea3508b8f46a10,0x408ffdb1f30bd6be,2
+np.float64,0x508b897ca1172,0xc08ffd58a0eb3583,2
+np.float64,0x7feba367b07746ce,0x408ffe4f0bf4bd4e,2
+np.float64,0x3fefebd5c4bfd7ac,0xbf6d20b4fcf21b69,2
+np.float64,0x3fd8ef07b8b1de0f,0xbff5c2745c0795a5,2
+np.float64,0x3fd38ed518271daa,0xbffb5d75f00f6900,2
+np.float64,0x6de0fecedbc20,0xc08ff9c307bbc647,2
+np.float64,0xafc0ffc35f820,0xc08ff45737e5d6b4,2
+np.float64,0x7fd282097ca50412,0x408ff1ae3b27bf3b,2
+np.float64,0x3fe2f2d50b65e5aa,0xbfe831042e6a1e99,2
+np.float64,0x3faa437bac3486f7,0xc01123d8d962205a,2
+np.float64,0x3feea54434fd4a88,0xbfaff202cc456647,2
+np.float64,0x3fc9e65b8633ccb7,0xc00270e77ffd19da,2
+np.float64,0x7fee15af61fc2b5e,0x408fff49a49154a3,2
+np.float64,0x7fefe670a73fcce0,0x408ffff6c44c1005,2
+np.float64,0x3fc0832d0f21065a,0xc007a2dc2f25384a,2
+np.float64,0x3fecfc96bcb9f92d,0xbfc24367c3912620,2
+np.float64,0x3feb705682b6e0ad,0xbfcc65b1bb16f9c5,2
+np.float64,0x3fe185c4f9630b8a,0xbfebcdb401af67a4,2
+np.float64,0x3fb0a5a9f6214b54,0xc00f8ada2566a047,2
+np.float64,0x7fe2908cdda52119,0x408ff9b744861fb1,2
+np.float64,0x7fee776e183ceedb,0x408fff6ee7c2f86e,2
+np.float64,0x3fce1d608f3c3ac1,0xc000b3685d006474,2
+np.float64,0x7fecf92aa339f254,0x408ffeda6c998267,2
+np.float64,0xce13cb519c27a,0xc08ff280f02882a9,2
+np.float64,0x1,0xc090c80000000000,2
+np.float64,0x3fe485a8afa90b51,0xbfe4823265d5a50a,2
+np.float64,0x3feea60908bd4c12,0xbfafdf7ad7fe203f,2
+np.float64,0x3fd2253033a44a60,0xbffd187d0ec8d5b9,2
+np.float64,0x435338fc86a68,0xc08fff6a591059dd,2
+np.float64,0x7fce8763a73d0ec6,0x408fef74f1e715ff,2
+np.float64,0x3fbe5ddb783cbbb7,0xc0089acc5afa794b,2
+np.float64,0x7fe4cf19ada99e32,0x408ffb0877ca302b,2
+np.float64,0x3fe94c9ea1b2993d,0xbfd5b1c2e867b911,2
+np.float64,0x3fe75541c72eaa84,0xbfdd2a27aa117699,2
+np.float64,0x8000000000000001,0x7ff8000000000000,2
+np.float64,0x7fdbec7f2c37d8fd,0x408ff66d69a7f818,2
+np.float64,0x8ef10d091de22,0xc08ff6b9ca5094f8,2
+np.float64,0x3fea69025b74d205,0xbfd1b9fe2c252c70,2
+np.float64,0x562376d0ac46f,0xc08ffc924111cd31,2
+np.float64,0x8e8097ab1d013,0xc08ff6c2e2706f67,2
+np.float64,0x3fca6803ed34d008,0xc00237aef808825b,2
+np.float64,0x7fe8fe9067b1fd20,0x408ffd25f459a7d1,2
+np.float64,0x3f918e8c7f233,0xc0900009fe011d54,2
+np.float64,0x3fdfe773833fcee7,0xbff011bc1af87bb9,2
+np.float64,0xefffef6fdfffe,0xc08ff0beb0f09eb0,2
+np.float64,0x7fe64610282c8c1f,0x408ffbd17209db18,2
+np.float64,0xe66be8c1ccd7d,0xc08ff13706c056e1,2
+np.float64,0x2837e570506fd,0xc09002ae4dae0c1a,2
+np.float64,0x3febe3a081f7c741,0xbfc964171f2a5a47,2
+np.float64,0x3fe21ed09a243da1,0xbfea41342d29c3ff,2
+np.float64,0x3fe1596c8162b2d9,0xbfec431eee30823a,2
+np.float64,0x8f2b9a131e574,0xc08ff6b51104ed4e,2
+np.float64,0x3fe88ed179711da3,0xbfd870d08a4a4b0c,2
+np.float64,0x34159bc2682b4,0xc09001305a885f94,2
+np.float64,0x1ed31e543da65,0xc0900437481577f8,2
+np.float64,0x3feafbe9de75f7d4,0xbfcf7bcdbacf1c61,2
+np.float64,0xfb16fb27f62e0,0xc08ff03938e682a2,2
+np.float64,0x3fe5cd5ba7eb9ab7,0xbfe1b7165771af3c,2
+np.float64,0x7fe72905e76e520b,0x408ffc44c4e7e80c,2
+np.float64,0x7fb7136e2e2e26db,0x408fe439fd383fb7,2
+np.float64,0x8fa585e11f4c,0xc0900b55a08a486b,2
+np.float64,0x7fed985ce47b30b9,0x408fff192b596821,2
+np.float64,0x3feaaf0869755e11,0xbfd0c671571b3764,2
+np.float64,0x3fa40fd4ec281faa,0xc012b1c8dc0b9e5f,2
+np.float64,0x7fda2a70993454e0,0x408ff5ad47b0c68a,2
+np.float64,0x3fe5f7e931abefd2,0xbfe15d52b3605abf,2
+np.float64,0x3fe9fc6d3533f8da,0xbfd338b06a790994,2
+np.float64,0x3fe060649420c0c9,0xbfeeed1756111891,2
+np.float64,0x3fce8435e33d086c,0xc0008c41cea9ed40,2
+np.float64,0x7ff8000000000000,0x7ff8000000000000,2
+np.float64,0x617820aec2f05,0xc08ffb251e9af0f0,2
+np.float64,0x7fcc4ab6ee38956d,0x408fee9419c8f77d,2
+np.float64,0x7fdefda2fc3dfb45,0x408ff7a15063bc05,2
+np.float64,0x7fe5138ccaaa2719,0x408ffb2e30f3a46e,2
+np.float64,0x3fe3817a836702f5,0xbfe6da7c2b25e35a,2
+np.float64,0x3fb8a7dafa314fb6,0xc00b025bc0784ebe,2
+np.float64,0x349dc420693d,0xc09011215825d2c8,2
+np.float64,0x6b0e504ad61cb,0xc08ffa0fee9c5cd6,2
+np.float64,0x273987644e732,0xc09002d34294ed79,2
+np.float64,0x3fc0bd8a6e217b15,0xc0077a5828b4d2f5,2
+np.float64,0x758b48c4eb16a,0xc08ff8fbc8fbe46a,2
+np.float64,0x3fc8a9a52631534a,0xc00301854ec0ef81,2
+np.float64,0x7fe79d29a76f3a52,0x408ffc7e1607a4c1,2
+np.float64,0x3fd7d3ebce2fa7d8,0xbff6ce8a94aebcda,2
+np.float64,0x7fd1cb68a52396d0,0x408ff13a17533b2b,2
+np.float64,0x7fda514a5d34a294,0x408ff5be5e081578,2
+np.float64,0x3fc40b4382281687,0xc0056632c8067228,2
+np.float64,0x7feff1208c3fe240,0x408ffffaa180fa0d,2
+np.float64,0x8f58739f1eb0f,0xc08ff6b17402689d,2
+np.float64,0x1fdbe9a23fb7e,0xc090040685b2d24f,2
+np.float64,0xcb1d0e87963a2,0xc08ff2abbd903b82,2
+np.float64,0x3fc45a6a1a28b4d4,0xc00538f86c4aeaee,2
+np.float64,0x3fe61885b1ac310b,0xbfe118fd2251d2ec,2
+np.float64,0x3fedf584c8fbeb0a,0xbfb8572433ff67a9,2
+np.float64,0x7fb0bddd1a217bb9,0x408fe085e0d621db,2
+np.float64,0x72d8d3e0e5b3,0xc0900ca02f68c7a1,2
+np.float64,0x5cca6ff6b994f,0xc08ffbb6751fda01,2
+np.float64,0x7fe3197839a632ef,0x408ffa0b2fccfb68,2
+np.float64,0x3fcce4d9c139c9b4,0xc0012dae05baa91b,2
+np.float64,0x3fe76d00f62eda02,0xbfdccc5f12799be1,2
+np.float64,0x3fc53c22f72a7846,0xc004bbaa9cbc7958,2
+np.float64,0x7fdda02f1ebb405d,0x408ff71c37c71659,2
+np.float64,0x3fe0844eaba1089d,0xbfee884722762583,2
+np.float64,0x3febb438dc776872,0xbfca9f05e1c691f1,2
+np.float64,0x3fdf4170cdbe82e2,0xbff08b1561c8d848,2
+np.float64,0x3fce1b8d6f3c371b,0xc000b41b69507671,2
+np.float64,0x8370e60706e1d,0xc08ff7b19ea0b4ca,2
+np.float64,0x7fa5bf92382b7f23,0x408fdb8aebb3df87,2
+np.float64,0x7fe4a59979a94b32,0x408ffaf15c1358cd,2
+np.float64,0x3faa66086034cc11,0xc0111c466b7835d6,2
+np.float64,0x7fb7a958262f52af,0x408fe48408b1e093,2
+np.float64,0x3fdaacc5f635598c,0xbff43390d06b5614,2
+np.float64,0x3fd2825b9e2504b7,0xbffca3234264f109,2
+np.float64,0x3fcede160a3dbc2c,0xc0006a759e29060c,2
+np.float64,0x7fd3b19603a7632b,0x408ff265b528371c,2
+np.float64,0x7fcf8a86ea3f150d,0x408fefd552e7f3b2,2
+np.float64,0xedbcc0f7db798,0xc08ff0daad12096b,2
+np.float64,0xf1e1683de3c2d,0xc08ff0a7a0a37e00,2
+np.float64,0xb6ebd9bf6dd7b,0xc08ff3e11e28378d,2
+np.float64,0x3fec8090d6f90122,0xbfc56031b72194cc,2
+np.float64,0x3fd3e10e37a7c21c,0xbffafd34a3ebc933,2
+np.float64,0x7fbb1c96aa36392c,0x408fe616347b3342,2
+np.float64,0x3fe2f3996f25e733,0xbfe82f25bc5d1bbd,2
+np.float64,0x7fe8709da870e13a,0x408ffce3ab6ce59a,2
+np.float64,0x7fea3233d1b46467,0x408ffdb0b3bbc6de,2
+np.float64,0x65fa4112cbf49,0xc08ffa9f85eb72b9,2
+np.float64,0x3fca2cae9f34595d,0xc00251bb275afb87,2
+np.float64,0x8135fd9f026c0,0xc08ff7e42e14dce7,2
+np.float64,0x7fe0a6f057e14de0,0x408ff876081a4bfe,2
+np.float64,0x10000000000000,0xc08ff00000000000,2
+np.float64,0x3fe1fd506263faa1,0xbfea96dd8c543b72,2
+np.float64,0xa5532c554aa66,0xc08ff50bf5bfc66d,2
+np.float64,0xc239d00b8473a,0xc08ff32ff0ea3f92,2
+np.float64,0x7fdb5314e336a629,0x408ff62d4ff60d82,2
+np.float64,0x3fe5f506e2abea0e,0xbfe16362a4682120,2
+np.float64,0x3fa20c60202418c0,0xc0134e08d82608b6,2
+np.float64,0x7fe03864b22070c8,0x408ff82866d65e9a,2
+np.float64,0x3fe72cf5656e59eb,0xbfddca298969effa,2
+np.float64,0x5c295386b852b,0xc08ffbca90b136c9,2
+np.float64,0x7fd71e5020ae3c9f,0x408ff43f6d58eb7c,2
+np.float64,0x3fd1905a842320b5,0xbffdd8ecd288159c,2
+np.float64,0x3fe6bddb256d7bb6,0xbfdf88fee1a820bb,2
+np.float64,0xe061b967c0c37,0xc08ff18581951561,2
+np.float64,0x3fe534f65cea69ed,0xbfe2fe45fe7d3040,2
+np.float64,0xdc7dae07b8fb6,0xc08ff1b93074ea76,2
+np.float64,0x3fd0425082a084a1,0xbfffa11838b21633,2
+np.float64,0xba723fc974e48,0xc08ff3a8b8d01c58,2
+np.float64,0x3fce42ffc73c8600,0xc000a5062678406e,2
+np.float64,0x3f2e6d3c7e5ce,0xc090001304cfd1c7,2
+np.float64,0x3fd4b2e5f7a965cc,0xbffa0e6e6bae0a68,2
+np.float64,0x3fe6db1d18edb63a,0xbfdf128158ee92d9,2
+np.float64,0x7fe4e5792f29caf1,0x408ffb14d9dbf133,2
+np.float64,0x3fc11cdf992239bf,0xc00739569619cd77,2
+np.float64,0x3fc05ea11220bd42,0xc007bc841b48a890,2
+np.float64,0x4bd592d497ab3,0xc08ffe0ab1c962e2,2
+np.float64,0x280068fc5000e,0xc09002b64955e865,2
+np.float64,0x7fe2f2637065e4c6,0x408ff9f379c1253a,2
+np.float64,0x3fefc38467ff8709,0xbf85e53e64b9a424,2
+np.float64,0x2d78ec5a5af1e,0xc09001f8ea8601e0,2
+np.float64,0x7feeef2b957dde56,0x408fff9bebe995f7,2
+np.float64,0x2639baf44c738,0xc09002f9618d623b,2
+np.float64,0x3fc562964d2ac52d,0xc004a6d76959ef78,2
+np.float64,0x3fe21b071fe4360e,0xbfea4adb2cd96ade,2
+np.float64,0x7fe56aa6802ad54c,0x408ffb5d81d1a898,2
+np.float64,0x4296b452852d7,0xc08fff8ad7fbcbe1,2
+np.float64,0x7fe3fac4ff27f589,0x408ffa9049eec479,2
+np.float64,0x7fe7a83e6caf507c,0x408ffc837f436604,2
+np.float64,0x3fc4ac5b872958b7,0xc0050add72381ac3,2
+np.float64,0x3fd6d697c02dad30,0xbff7c931a3eefb01,2
+np.float64,0x3f61e391c023c724,0xc021ad91e754f94b,2
+np.float64,0x10817f9c21031,0xc09007d20434d7bc,2
+np.float64,0x3fdb9c4c4cb73899,0xbff367d8615c5ece,2
+np.float64,0x3fe26ead6b64dd5b,0xbfe977771def5989,2
+np.float64,0x3fc43ea5c3287d4c,0xc00548c2163ae631,2
+np.float64,0x3fe05bd8bba0b7b1,0xbfeef9ea0db91abc,2
+np.float64,0x3feac78369358f07,0xbfd071e2b0aeab39,2
+np.float64,0x7fe254922ca4a923,0x408ff991bdd4e5d3,2
+np.float64,0x3fe5a2f5842b45eb,0xbfe21135c9a71666,2
+np.float64,0x3fd5daf98c2bb5f3,0xbff8cd24f7c07003,2
+np.float64,0x3fcb2a1384365427,0xc001e40f0d04299a,2
+np.float64,0x3fe073974360e72f,0xbfeeb7183a9930b7,2
+np.float64,0xcf3440819e688,0xc08ff270d3a71001,2
+np.float64,0x3fd35656cda6acae,0xbffba083fba4939d,2
+np.float64,0x7fe6c59b4ded8b36,0x408ffc12ce725425,2
+np.float64,0x3fba896f943512df,0xc00a291cb6947701,2
+np.float64,0x7fe54917e86a922f,0x408ffb4b5e0fb848,2
+np.float64,0x7fed2a3f51ba547e,0x408ffeede945a948,2
+np.float64,0x3fdc72bd5038e57b,0xbff2b73b7e93e209,2
+np.float64,0x7fefdb3f9f3fb67e,0x408ffff2b702a768,2
+np.float64,0x3fb0184430203088,0xc00fee8c1351763c,2
+np.float64,0x7d6c3668fad87,0xc08ff83c195f2cca,2
+np.float64,0x3fd5aa254aab544b,0xbff900f16365991b,2
+np.float64,0x3f963daab02c7b55,0xc0161974495b1b71,2
+np.float64,0x3fa7a9c5982f538b,0xc011bde0f6052a89,2
+np.float64,0xb3a5a74b674b5,0xc08ff4167bc97c81,2
+np.float64,0x7fad0c14503a1828,0x408fdee1f2d56cd7,2
+np.float64,0x43e0e9d887c1e,0xc08fff522837b13b,2
+np.float64,0x3fe513b20aea2764,0xbfe346ea994100e6,2
+np.float64,0x7fe4e10393e9c206,0x408ffb12630f6a06,2
+np.float64,0x68b286e2d1651,0xc08ffa51c0d795d4,2
+np.float64,0x7fe8de453331bc89,0x408ffd17012b75ac,2
+np.float64,0x1b3d77d4367b0,0xc09004edea60aa36,2
+np.float64,0x3fd351cbc326a398,0xbffba5f0f4d5fdba,2
+np.float64,0x3fd264951b24c92a,0xbffcc8636788b9bf,2
+np.float64,0xd2465761a48cb,0xc08ff2455c9c53e5,2
+np.float64,0x7fe46a0ef028d41d,0x408ffacfe32c6f5d,2
+np.float64,0x3fafd8ac4c3fb159,0xc010071bf33195d0,2
+np.float64,0x902aec5d2055e,0xc08ff6a08e28aabc,2
+np.float64,0x3fcea61bb03d4c37,0xc0007f76e509b657,2
+np.float64,0x7fe8d90f9571b21e,0x408ffd1495f952e7,2
+np.float64,0x7fa650c9442ca192,0x408fdbd6ff22fdd8,2
+np.float64,0x3fe8ecfdf171d9fc,0xbfd7115df40e8580,2
+np.float64,0x7fd4e6fe7f29cdfc,0x408ff315b0dae183,2
+np.float64,0x77df4c52efbea,0xc08ff8c1d5c1df33,2
+np.float64,0xe200b0cfc4016,0xc08ff1703cfb8e79,2
+np.float64,0x3fe230ea7e2461d5,0xbfea132d2385160e,2
+np.float64,0x7fd1f7ced723ef9d,0x408ff156bfbf92a4,2
+np.float64,0x3fea762818f4ec50,0xbfd18c12a88e5f79,2
+np.float64,0x7feea4ba7c7d4974,0x408fff8004164054,2
+np.float64,0x833ec605067d9,0xc08ff7b606383841,2
+np.float64,0x7fd0c2d7fea185af,0x408ff0894f3a0cf4,2
+np.float64,0x3fe1d7d61d23afac,0xbfeaf76fee875d3e,2
+np.float64,0x65adecb0cb5be,0xc08ffaa82cb09d68,2

evalkit_tf446/lib/python3.10/site-packages/networkx/algorithms/components/attracting.py

@@ -0,0 +1,115 @@
+"""Attracting components."""
+
+import networkx as nx
+from networkx.utils.decorators import not_implemented_for
+
+__all__ = [
+    "number_attracting_components",
+    "attracting_components",
+    "is_attracting_component",
+]
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def attracting_components(G):
+    """Generates the attracting components in `G`.
+
+    An attracting component in a directed graph `G` is a strongly connected
+    component with the property that a random walker on the graph will never
+    leave the component, once it enters the component.
+
+    The nodes in attracting components can also be thought of as recurrent
+    nodes.  If a random walker enters the attractor containing the node, then
+    the node will be visited infinitely often.
+
+    To obtain induced subgraphs on each component use:
+    ``(G.subgraph(c).copy() for c in attracting_components(G))``
+
+    Parameters
+    ----------
+    G : DiGraph, MultiDiGraph
+        The graph to be analyzed.
+
+    Returns
+    -------
+    attractors : generator of sets
+        A generator of sets of nodes, one for each attracting component of G.
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If the input graph is undirected.
+
+    See Also
+    --------
+    number_attracting_components
+    is_attracting_component
+
+    """
+    scc = list(nx.strongly_connected_components(G))
+    cG = nx.condensation(G, scc)
+    for n in cG:
+        if cG.out_degree(n) == 0:
+            yield scc[n]
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def number_attracting_components(G):
+    """Returns the number of attracting components in `G`.
+
+    Parameters
+    ----------
+    G : DiGraph, MultiDiGraph
+        The graph to be analyzed.
+
+    Returns
+    -------
+    n : int
+        The number of attracting components in G.
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If the input graph is undirected.
+
+    See Also
+    --------
+    attracting_components
+    is_attracting_component
+
+    """
+    return sum(1 for ac in attracting_components(G))
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def is_attracting_component(G):
+    """Returns True if `G` consists of a single attracting component.
+
+    Parameters
+    ----------
+    G : DiGraph, MultiDiGraph
+        The graph to be analyzed.
+
+    Returns
+    -------
+    attracting : bool
+        True if `G` has a single attracting component. Otherwise, False.
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If the input graph is undirected.
+
+    See Also
+    --------
+    attracting_components
+    number_attracting_components
+
+    """
+    ac = list(attracting_components(G))
+    if len(ac) == 1:
+        return len(ac[0]) == len(G)
+    return False

evalkit_tf446/lib/python3.10/site-packages/networkx/algorithms/components/strongly_connected.py

@@ -0,0 +1,351 @@
+"""Strongly connected components."""
+
+import networkx as nx
+from networkx.utils.decorators import not_implemented_for
+
+__all__ = [
+    "number_strongly_connected_components",
+    "strongly_connected_components",
+    "is_strongly_connected",
+    "kosaraju_strongly_connected_components",
+    "condensation",
+]
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def strongly_connected_components(G):
+    """Generate nodes in strongly connected components of graph.
+
+    Parameters
+    ----------
+    G : NetworkX Graph
+        A directed graph.
+
+    Returns
+    -------
+    comp : generator of sets
+        A generator of sets of nodes, one for each strongly connected
+        component of G.
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If G is undirected.
+
+    Examples
+    --------
+    Generate a sorted list of strongly connected components, largest first.
+
+    >>> G = nx.cycle_graph(4, create_using=nx.DiGraph())
+    >>> nx.add_cycle(G, [10, 11, 12])
+    >>> [
+    ...     len(c)
+    ...     for c in sorted(nx.strongly_connected_components(G), key=len, reverse=True)
+    ... ]
+    [4, 3]
+
+    If you only want the largest component, it's more efficient to
+    use max instead of sort.
+
+    >>> largest = max(nx.strongly_connected_components(G), key=len)
+
+    See Also
+    --------
+    connected_components
+    weakly_connected_components
+    kosaraju_strongly_connected_components
+
+    Notes
+    -----
+    Uses Tarjan's algorithm[1]_ with Nuutila's modifications[2]_.
+    Nonrecursive version of algorithm.
+
+    References
+    ----------
+    .. [1] Depth-first search and linear graph algorithms, R. Tarjan
+       SIAM Journal of Computing 1(2):146-160, (1972).
+
+    .. [2] On finding the strongly connected components in a directed graph.
+       E. Nuutila and E. Soisalon-Soinen
+       Information Processing Letters 49(1): 9-14, (1994)..
+
+    """
+    preorder = {}
+    lowlink = {}
+    scc_found = set()
+    scc_queue = []
+    i = 0  # Preorder counter
+    neighbors = {v: iter(G[v]) for v in G}
+    for source in G:
+        if source not in scc_found:
+            queue = [source]
+            while queue:
+                v = queue[-1]
+                if v not in preorder:
+                    i = i + 1
+                    preorder[v] = i
+                done = True
+                for w in neighbors[v]:
+                    if w not in preorder:
+                        queue.append(w)
+                        done = False
+                        break
+                if done:
+                    lowlink[v] = preorder[v]
+                    for w in G[v]:
+                        if w not in scc_found:
+                            if preorder[w] > preorder[v]:
+                                lowlink[v] = min([lowlink[v], lowlink[w]])
+                            else:
+                                lowlink[v] = min([lowlink[v], preorder[w]])
+                    queue.pop()
+                    if lowlink[v] == preorder[v]:
+                        scc = {v}
+                        while scc_queue and preorder[scc_queue[-1]] > preorder[v]:
+                            k = scc_queue.pop()
+                            scc.add(k)
+                        scc_found.update(scc)
+                        yield scc
+                    else:
+                        scc_queue.append(v)
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def kosaraju_strongly_connected_components(G, source=None):
+    """Generate nodes in strongly connected components of graph.
+
+    Parameters
+    ----------
+    G : NetworkX Graph
+        A directed graph.
+
+    Returns
+    -------
+    comp : generator of sets
+        A generator of sets of nodes, one for each strongly connected
+        component of G.
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If G is undirected.
+
+    Examples
+    --------
+    Generate a sorted list of strongly connected components, largest first.
+
+    >>> G = nx.cycle_graph(4, create_using=nx.DiGraph())
+    >>> nx.add_cycle(G, [10, 11, 12])
+    >>> [
+    ...     len(c)
+    ...     for c in sorted(
+    ...         nx.kosaraju_strongly_connected_components(G), key=len, reverse=True
+    ...     )
+    ... ]
+    [4, 3]
+
+    If you only want the largest component, it's more efficient to
+    use max instead of sort.
+
+    >>> largest = max(nx.kosaraju_strongly_connected_components(G), key=len)
+
+    See Also
+    --------
+    strongly_connected_components
+
+    Notes
+    -----
+    Uses Kosaraju's algorithm.
+
+    """
+    post = list(nx.dfs_postorder_nodes(G.reverse(copy=False), source=source))
+
+    seen = set()
+    while post:
+        r = post.pop()
+        if r in seen:
+            continue
+        c = nx.dfs_preorder_nodes(G, r)
+        new = {v for v in c if v not in seen}
+        seen.update(new)
+        yield new
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def number_strongly_connected_components(G):
+    """Returns number of strongly connected components in graph.
+
+    Parameters
+    ----------
+    G : NetworkX graph
+       A directed graph.
+
+    Returns
+    -------
+    n : integer
+       Number of strongly connected components
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If G is undirected.
+
+    Examples
+    --------
+    >>> G = nx.DiGraph(
+    ...     [(0, 1), (1, 2), (2, 0), (2, 3), (4, 5), (3, 4), (5, 6), (6, 3), (6, 7)]
+    ... )
+    >>> nx.number_strongly_connected_components(G)
+    3
+
+    See Also
+    --------
+    strongly_connected_components
+    number_connected_components
+    number_weakly_connected_components
+
+    Notes
+    -----
+    For directed graphs only.
+    """
+    return sum(1 for scc in strongly_connected_components(G))
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable
+def is_strongly_connected(G):
+    """Test directed graph for strong connectivity.
+
+    A directed graph is strongly connected if and only if every vertex in
+    the graph is reachable from every other vertex.
+
+    Parameters
+    ----------
+    G : NetworkX Graph
+       A directed graph.
+
+    Returns
+    -------
+    connected : bool
+      True if the graph is strongly connected, False otherwise.
+
+    Examples
+    --------
+    >>> G = nx.DiGraph([(0, 1), (1, 2), (2, 3), (3, 0), (2, 4), (4, 2)])
+    >>> nx.is_strongly_connected(G)
+    True
+    >>> G.remove_edge(2, 3)
+    >>> nx.is_strongly_connected(G)
+    False
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If G is undirected.
+
+    See Also
+    --------
+    is_weakly_connected
+    is_semiconnected
+    is_connected
+    is_biconnected
+    strongly_connected_components
+
+    Notes
+    -----
+    For directed graphs only.
+    """
+    if len(G) == 0:
+        raise nx.NetworkXPointlessConcept(
+            """Connectivity is undefined for the null graph."""
+        )
+
+    return len(next(strongly_connected_components(G))) == len(G)
+
+
+@not_implemented_for("undirected")
+@nx._dispatchable(returns_graph=True)
+def condensation(G, scc=None):
+    """Returns the condensation of G.
+
+    The condensation of G is the graph with each of the strongly connected
+    components contracted into a single node.
+
+    Parameters
+    ----------
+    G : NetworkX DiGraph
+       A directed graph.
+
+    scc:  list or generator (optional, default=None)
+       Strongly connected components. If provided, the elements in
+       `scc` must partition the nodes in `G`. If not provided, it will be
+       calculated as scc=nx.strongly_connected_components(G).
+
+    Returns
+    -------
+    C : NetworkX DiGraph
+       The condensation graph C of G.  The node labels are integers
+       corresponding to the index of the component in the list of
+       strongly connected components of G.  C has a graph attribute named
+       'mapping' with a dictionary mapping the original nodes to the
+       nodes in C to which they belong.  Each node in C also has a node
+       attribute 'members' with the set of original nodes in G that
+       form the SCC that the node in C represents.
+
+    Raises
+    ------
+    NetworkXNotImplemented
+        If G is undirected.
+
+    Examples
+    --------
+    Contracting two sets of strongly connected nodes into two distinct SCC
+    using the barbell graph.
+
+    >>> G = nx.barbell_graph(4, 0)
+    >>> G.remove_edge(3, 4)
+    >>> G = nx.DiGraph(G)
+    >>> H = nx.condensation(G)
+    >>> H.nodes.data()
+    NodeDataView({0: {'members': {0, 1, 2, 3}}, 1: {'members': {4, 5, 6, 7}}})
+    >>> H.graph["mapping"]
+    {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1, 6: 1, 7: 1}
+
+    Contracting a complete graph into one single SCC.
+
+    >>> G = nx.complete_graph(7, create_using=nx.DiGraph)
+    >>> H = nx.condensation(G)
+    >>> H.nodes
+    NodeView((0,))
+    >>> H.nodes.data()
+    NodeDataView({0: {'members': {0, 1, 2, 3, 4, 5, 6}}})
+
+    Notes
+    -----
+    After contracting all strongly connected components to a single node,
+    the resulting graph is a directed acyclic graph.
+
+    """
+    if scc is None:
+        scc = nx.strongly_connected_components(G)
+    mapping = {}
+    members = {}
+    C = nx.DiGraph()
+    # Add mapping dict as graph attribute
+    C.graph["mapping"] = mapping
+    if len(G) == 0:
+        return C
+    for i, component in enumerate(scc):
+        members[i] = component
+        mapping.update((n, i) for n in component)
+    number_of_components = i + 1
+    C.add_nodes_from(range(number_of_components))
+    C.add_edges_from(
+        (mapping[u], mapping[v]) for u, v in G.edges() if mapping[u] != mapping[v]
+    )
+    # Add a list of members (ie original nodes) to each node (ie scc) in C.
+    nx.set_node_attributes(C, members, "members")
+    return C