--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/CSP2/CSP2_env/env-d9b9114564458d9d-741b3de822f2aaca6c6caa4325c4afce/include/python3.8/floatobject.h	Tue Mar 18 17:55:14 2025 -0400
@@ -0,0 +1,130 @@
+
+/* Float object interface */
+
+/*
+PyFloatObject represents a (double precision) floating point number.
+*/
+
+#ifndef Py_FLOATOBJECT_H
+#define Py_FLOATOBJECT_H
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#ifndef Py_LIMITED_API
+typedef struct {
+    PyObject_HEAD
+    double ob_fval;
+} PyFloatObject;
+#endif
+
+PyAPI_DATA(PyTypeObject) PyFloat_Type;
+
+#define PyFloat_Check(op) PyObject_TypeCheck(op, &PyFloat_Type)
+#define PyFloat_CheckExact(op) (Py_TYPE(op) == &PyFloat_Type)
+
+#ifdef Py_NAN
+#define Py_RETURN_NAN return PyFloat_FromDouble(Py_NAN)
+#endif
+
+#define Py_RETURN_INF(sign) do                     \
+    if (copysign(1., sign) == 1.) {                \
+        return PyFloat_FromDouble(Py_HUGE_VAL);    \
+    } else {                        \
+        return PyFloat_FromDouble(-Py_HUGE_VAL);   \
+    } while(0)
+
+PyAPI_FUNC(double) PyFloat_GetMax(void);
+PyAPI_FUNC(double) PyFloat_GetMin(void);
+PyAPI_FUNC(PyObject *) PyFloat_GetInfo(void);
+
+/* Return Python float from string PyObject. */
+PyAPI_FUNC(PyObject *) PyFloat_FromString(PyObject*);
+
+/* Return Python float from C double. */
+PyAPI_FUNC(PyObject *) PyFloat_FromDouble(double);
+
+/* Extract C double from Python float.  The macro version trades safety for
+   speed. */
+PyAPI_FUNC(double) PyFloat_AsDouble(PyObject *);
+#ifndef Py_LIMITED_API
+#define PyFloat_AS_DOUBLE(op) (((PyFloatObject *)(op))->ob_fval)
+#endif
+
+#ifndef Py_LIMITED_API
+/* _PyFloat_{Pack,Unpack}{4,8}
+ *
+ * The struct and pickle (at least) modules need an efficient platform-
+ * independent way to store floating-point values as byte strings.
+ * The Pack routines produce a string from a C double, and the Unpack
+ * routines produce a C double from such a string.  The suffix (4 or 8)
+ * specifies the number of bytes in the string.
+ *
+ * On platforms that appear to use (see _PyFloat_Init()) IEEE-754 formats
+ * these functions work by copying bits.  On other platforms, the formats the
+ * 4- byte format is identical to the IEEE-754 single precision format, and
+ * the 8-byte format to the IEEE-754 double precision format, although the
+ * packing of INFs and NaNs (if such things exist on the platform) isn't
+ * handled correctly, and attempting to unpack a string containing an IEEE
+ * INF or NaN will raise an exception.
+ *
+ * On non-IEEE platforms with more precision, or larger dynamic range, than
+ * 754 supports, not all values can be packed; on non-IEEE platforms with less
+ * precision, or smaller dynamic range, not all values can be unpacked.  What
+ * happens in such cases is partly accidental (alas).
+ */
+
+/* The pack routines write 2, 4 or 8 bytes, starting at p.  le is a bool
+ * argument, true if you want the string in little-endian format (exponent
+ * last, at p+1, p+3 or p+7), false if you want big-endian format (exponent
+ * first, at p).
+ * Return value:  0 if all is OK, -1 if error (and an exception is
+ * set, most likely OverflowError).
+ * There are two problems on non-IEEE platforms:
+ * 1):  What this does is undefined if x is a NaN or infinity.
+ * 2):  -0.0 and +0.0 produce the same string.
+ */
+PyAPI_FUNC(int) _PyFloat_Pack2(double x, unsigned char *p, int le);
+PyAPI_FUNC(int) _PyFloat_Pack4(double x, unsigned char *p, int le);
+PyAPI_FUNC(int) _PyFloat_Pack8(double x, unsigned char *p, int le);
+
+/* Needed for the old way for marshal to store a floating point number.
+   Returns the string length copied into p, -1 on error.
+ */
+PyAPI_FUNC(int) _PyFloat_Repr(double x, char *p, size_t len);
+
+/* Used to get the important decimal digits of a double */
+PyAPI_FUNC(int) _PyFloat_Digits(char *buf, double v, int *signum);
+PyAPI_FUNC(void) _PyFloat_DigitsInit(void);
+
+/* The unpack routines read 2, 4 or 8 bytes, starting at p.  le is a bool
+ * argument, true if the string is in little-endian format (exponent
+ * last, at p+1, p+3 or p+7), false if big-endian (exponent first, at p).
+ * Return value:  The unpacked double.  On error, this is -1.0 and
+ * PyErr_Occurred() is true (and an exception is set, most likely
+ * OverflowError).  Note that on a non-IEEE platform this will refuse
+ * to unpack a string that represents a NaN or infinity.
+ */
+PyAPI_FUNC(double) _PyFloat_Unpack2(const unsigned char *p, int le);
+PyAPI_FUNC(double) _PyFloat_Unpack4(const unsigned char *p, int le);
+PyAPI_FUNC(double) _PyFloat_Unpack8(const unsigned char *p, int le);
+
+/* free list api */
+PyAPI_FUNC(int) PyFloat_ClearFreeList(void);
+
+PyAPI_FUNC(void) _PyFloat_DebugMallocStats(FILE* out);
+
+/* Format the object based on the format_spec, as defined in PEP 3101
+   (Advanced String Formatting). */
+PyAPI_FUNC(int) _PyFloat_FormatAdvancedWriter(
+    _PyUnicodeWriter *writer,
+    PyObject *obj,
+    PyObject *format_spec,
+    Py_ssize_t start,
+    Py_ssize_t end);
+#endif /* Py_LIMITED_API */
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* !Py_FLOATOBJECT_H */