--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/CSP2/CSP2_env/env-d9b9114564458d9d-741b3de822f2aaca6c6caa4325c4afce/include/python3.8/pymath.h	Tue Mar 18 17:55:14 2025 -0400
@@ -0,0 +1,230 @@
+#ifndef Py_PYMATH_H
+#define Py_PYMATH_H
+
+#include "pyconfig.h" /* include for defines */
+
+/**************************************************************************
+Symbols and macros to supply platform-independent interfaces to mathematical
+functions and constants
+**************************************************************************/
+
+/* Python provides implementations for copysign, round and hypot in
+ * Python/pymath.c just in case your math library doesn't provide the
+ * functions.
+ *
+ *Note: PC/pyconfig.h defines copysign as _copysign
+ */
+#ifndef HAVE_COPYSIGN
+extern double copysign(double, double);
+#endif
+
+#ifndef HAVE_ROUND
+extern double round(double);
+#endif
+
+#ifndef HAVE_HYPOT
+extern double hypot(double, double);
+#endif
+
+/* extra declarations */
+#ifndef _MSC_VER
+#ifndef __STDC__
+extern double fmod (double, double);
+extern double frexp (double, int *);
+extern double ldexp (double, int);
+extern double modf (double, double *);
+extern double pow(double, double);
+#endif /* __STDC__ */
+#endif /* _MSC_VER */
+
+/* High precision definition of pi and e (Euler)
+ * The values are taken from libc6's math.h.
+ */
+#ifndef Py_MATH_PIl
+#define Py_MATH_PIl 3.1415926535897932384626433832795029L
+#endif
+#ifndef Py_MATH_PI
+#define Py_MATH_PI 3.14159265358979323846
+#endif
+
+#ifndef Py_MATH_El
+#define Py_MATH_El 2.7182818284590452353602874713526625L
+#endif
+
+#ifndef Py_MATH_E
+#define Py_MATH_E 2.7182818284590452354
+#endif
+
+/* Tau (2pi) to 40 digits, taken from tauday.com/tau-digits. */
+#ifndef Py_MATH_TAU
+#define Py_MATH_TAU 6.2831853071795864769252867665590057683943L
+#endif
+
+
+/* On x86, Py_FORCE_DOUBLE forces a floating-point number out of an x87 FPU
+   register and into a 64-bit memory location, rounding from extended
+   precision to double precision in the process.  On other platforms it does
+   nothing. */
+
+/* we take double rounding as evidence of x87 usage */
+#ifndef Py_LIMITED_API
+#ifndef Py_FORCE_DOUBLE
+#  ifdef X87_DOUBLE_ROUNDING
+PyAPI_FUNC(double) _Py_force_double(double);
+#    define Py_FORCE_DOUBLE(X) (_Py_force_double(X))
+#  else
+#    define Py_FORCE_DOUBLE(X) (X)
+#  endif
+#endif
+#endif
+
+#ifndef Py_LIMITED_API
+#ifdef HAVE_GCC_ASM_FOR_X87
+PyAPI_FUNC(unsigned short) _Py_get_387controlword(void);
+PyAPI_FUNC(void) _Py_set_387controlword(unsigned short);
+#endif
+#endif
+
+/* Py_IS_NAN(X)
+ * Return 1 if float or double arg is a NaN, else 0.
+ * Caution:
+ *     X is evaluated more than once.
+ *     This may not work on all platforms.  Each platform has *some*
+ *     way to spell this, though -- override in pyconfig.h if you have
+ *     a platform where it doesn't work.
+ * Note: PC/pyconfig.h defines Py_IS_NAN as _isnan
+ */
+#ifndef Py_IS_NAN
+#if defined HAVE_DECL_ISNAN && HAVE_DECL_ISNAN == 1
+#define Py_IS_NAN(X) isnan(X)
+#else
+#define Py_IS_NAN(X) ((X) != (X))
+#endif
+#endif
+
+/* Py_IS_INFINITY(X)
+ * Return 1 if float or double arg is an infinity, else 0.
+ * Caution:
+ *    X is evaluated more than once.
+ *    This implementation may set the underflow flag if |X| is very small;
+ *    it really can't be implemented correctly (& easily) before C99.
+ *    Override in pyconfig.h if you have a better spelling on your platform.
+ *  Py_FORCE_DOUBLE is used to avoid getting false negatives from a
+ *    non-infinite value v sitting in an 80-bit x87 register such that
+ *    v becomes infinite when spilled from the register to 64-bit memory.
+ * Note: PC/pyconfig.h defines Py_IS_INFINITY as _isinf
+ */
+#ifndef Py_IS_INFINITY
+#  if defined HAVE_DECL_ISINF && HAVE_DECL_ISINF == 1
+#    define Py_IS_INFINITY(X) isinf(X)
+#  else
+#    define Py_IS_INFINITY(X) ((X) &&                                   \
+                               (Py_FORCE_DOUBLE(X)*0.5 == Py_FORCE_DOUBLE(X)))
+#  endif
+#endif
+
+/* Py_IS_FINITE(X)
+ * Return 1 if float or double arg is neither infinite nor NAN, else 0.
+ * Some compilers (e.g. VisualStudio) have intrisics for this, so a special
+ * macro for this particular test is useful
+ * Note: PC/pyconfig.h defines Py_IS_FINITE as _finite
+ */
+#ifndef Py_IS_FINITE
+#if defined HAVE_DECL_ISFINITE && HAVE_DECL_ISFINITE == 1
+#define Py_IS_FINITE(X) isfinite(X)
+#elif defined HAVE_FINITE
+#define Py_IS_FINITE(X) finite(X)
+#else
+#define Py_IS_FINITE(X) (!Py_IS_INFINITY(X) && !Py_IS_NAN(X))
+#endif
+#endif
+
+/* HUGE_VAL is supposed to expand to a positive double infinity.  Python
+ * uses Py_HUGE_VAL instead because some platforms are broken in this
+ * respect.  We used to embed code in pyport.h to try to worm around that,
+ * but different platforms are broken in conflicting ways.  If you're on
+ * a platform where HUGE_VAL is defined incorrectly, fiddle your Python
+ * config to #define Py_HUGE_VAL to something that works on your platform.
+ */
+#ifndef Py_HUGE_VAL
+#define Py_HUGE_VAL HUGE_VAL
+#endif
+
+/* Py_NAN
+ * A value that evaluates to a NaN. On IEEE 754 platforms INF*0 or
+ * INF/INF works. Define Py_NO_NAN in pyconfig.h if your platform
+ * doesn't support NaNs.
+ */
+#if !defined(Py_NAN) && !defined(Py_NO_NAN)
+#if !defined(__INTEL_COMPILER)
+    #define Py_NAN (Py_HUGE_VAL * 0.)
+#else /* __INTEL_COMPILER */
+    #if defined(ICC_NAN_STRICT)
+        #pragma float_control(push)
+        #pragma float_control(precise, on)
+        #pragma float_control(except,  on)
+        #if defined(_MSC_VER)
+            __declspec(noinline)
+        #else /* Linux */
+            __attribute__((noinline))
+        #endif /* _MSC_VER */
+        static double __icc_nan()
+        {
+            return sqrt(-1.0);
+        }
+        #pragma float_control (pop)
+        #define Py_NAN __icc_nan()
+    #else /* ICC_NAN_RELAXED as default for Intel Compiler */
+        static const union { unsigned char buf[8]; double __icc_nan; } __nan_store = {0,0,0,0,0,0,0xf8,0x7f};
+        #define Py_NAN (__nan_store.__icc_nan)
+    #endif /* ICC_NAN_STRICT */
+#endif /* __INTEL_COMPILER */
+#endif
+
+/* Py_OVERFLOWED(X)
+ * Return 1 iff a libm function overflowed.  Set errno to 0 before calling
+ * a libm function, and invoke this macro after, passing the function
+ * result.
+ * Caution:
+ *    This isn't reliable.  C99 no longer requires libm to set errno under
+ *        any exceptional condition, but does require +- HUGE_VAL return
+ *        values on overflow.  A 754 box *probably* maps HUGE_VAL to a
+ *        double infinity, and we're cool if that's so, unless the input
+ *        was an infinity and an infinity is the expected result.  A C89
+ *        system sets errno to ERANGE, so we check for that too.  We're
+ *        out of luck if a C99 754 box doesn't map HUGE_VAL to +Inf, or
+ *        if the returned result is a NaN, or if a C89 box returns HUGE_VAL
+ *        in non-overflow cases.
+ *    X is evaluated more than once.
+ * Some platforms have better way to spell this, so expect some #ifdef'ery.
+ *
+ * OpenBSD uses 'isinf()' because a compiler bug on that platform causes
+ * the longer macro version to be mis-compiled. This isn't optimal, and
+ * should be removed once a newer compiler is available on that platform.
+ * The system that had the failure was running OpenBSD 3.2 on Intel, with
+ * gcc 2.95.3.
+ *
+ * According to Tim's checkin, the FreeBSD systems use isinf() to work
+ * around a FPE bug on that platform.
+ */
+#if defined(__FreeBSD__) || defined(__OpenBSD__)
+#define Py_OVERFLOWED(X) isinf(X)
+#else
+#define Py_OVERFLOWED(X) ((X) != 0.0 && (errno == ERANGE ||    \
+                                         (X) == Py_HUGE_VAL || \
+                                         (X) == -Py_HUGE_VAL))
+#endif
+
+/* Return whether integral type *type* is signed or not. */
+#define _Py_IntegralTypeSigned(type) ((type)(-1) < 0)
+/* Return the maximum value of integral type *type*. */
+#define _Py_IntegralTypeMax(type) ((_Py_IntegralTypeSigned(type)) ? (((((type)1 << (sizeof(type)*CHAR_BIT - 2)) - 1) << 1) + 1) : ~(type)0)
+/* Return the minimum value of integral type *type*. */
+#define _Py_IntegralTypeMin(type) ((_Py_IntegralTypeSigned(type)) ? -_Py_IntegralTypeMax(type) - 1 : 0)
+/* Check whether *v* is in the range of integral type *type*. This is most
+ * useful if *v* is floating-point, since demoting a floating-point *v* to an
+ * integral type that cannot represent *v*'s integral part is undefined
+ * behavior. */
+#define _Py_InIntegralTypeRange(type, v) (_Py_IntegralTypeMin(type) <= v && v <= _Py_IntegralTypeMax(type))
+
+#endif /* Py_PYMATH_H */