--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/CSP2/CSP2_env/env-d9b9114564458d9d-741b3de822f2aaca6c6caa4325c4afce/include/python3.8/longobject.h	Tue Mar 18 17:55:14 2025 -0400
@@ -0,0 +1,242 @@
+#ifndef Py_LONGOBJECT_H
+#define Py_LONGOBJECT_H
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+/* Long (arbitrary precision) integer object interface */
+
+typedef struct _longobject PyLongObject; /* Revealed in longintrepr.h */
+
+PyAPI_DATA(PyTypeObject) PyLong_Type;
+
+#define PyLong_Check(op) \
+        PyType_FastSubclass(Py_TYPE(op), Py_TPFLAGS_LONG_SUBCLASS)
+#define PyLong_CheckExact(op) (Py_TYPE(op) == &PyLong_Type)
+
+PyAPI_FUNC(PyObject *) PyLong_FromLong(long);
+PyAPI_FUNC(PyObject *) PyLong_FromUnsignedLong(unsigned long);
+PyAPI_FUNC(PyObject *) PyLong_FromSize_t(size_t);
+PyAPI_FUNC(PyObject *) PyLong_FromSsize_t(Py_ssize_t);
+PyAPI_FUNC(PyObject *) PyLong_FromDouble(double);
+PyAPI_FUNC(long) PyLong_AsLong(PyObject *);
+PyAPI_FUNC(long) PyLong_AsLongAndOverflow(PyObject *, int *);
+PyAPI_FUNC(Py_ssize_t) PyLong_AsSsize_t(PyObject *);
+PyAPI_FUNC(size_t) PyLong_AsSize_t(PyObject *);
+PyAPI_FUNC(unsigned long) PyLong_AsUnsignedLong(PyObject *);
+PyAPI_FUNC(unsigned long) PyLong_AsUnsignedLongMask(PyObject *);
+#ifndef Py_LIMITED_API
+PyAPI_FUNC(int) _PyLong_AsInt(PyObject *);
+#endif
+PyAPI_FUNC(PyObject *) PyLong_GetInfo(void);
+
+/* It may be useful in the future. I've added it in the PyInt -> PyLong
+   cleanup to keep the extra information. [CH] */
+#define PyLong_AS_LONG(op) PyLong_AsLong(op)
+
+/* Issue #1983: pid_t can be longer than a C long on some systems */
+#if !defined(SIZEOF_PID_T) || SIZEOF_PID_T == SIZEOF_INT
+#define _Py_PARSE_PID "i"
+#define PyLong_FromPid PyLong_FromLong
+#define PyLong_AsPid PyLong_AsLong
+#elif SIZEOF_PID_T == SIZEOF_LONG
+#define _Py_PARSE_PID "l"
+#define PyLong_FromPid PyLong_FromLong
+#define PyLong_AsPid PyLong_AsLong
+#elif defined(SIZEOF_LONG_LONG) && SIZEOF_PID_T == SIZEOF_LONG_LONG
+#define _Py_PARSE_PID "L"
+#define PyLong_FromPid PyLong_FromLongLong
+#define PyLong_AsPid PyLong_AsLongLong
+#else
+#error "sizeof(pid_t) is neither sizeof(int), sizeof(long) or sizeof(long long)"
+#endif /* SIZEOF_PID_T */
+
+#if SIZEOF_VOID_P == SIZEOF_INT
+#  define _Py_PARSE_INTPTR "i"
+#  define _Py_PARSE_UINTPTR "I"
+#elif SIZEOF_VOID_P == SIZEOF_LONG
+#  define _Py_PARSE_INTPTR "l"
+#  define _Py_PARSE_UINTPTR "k"
+#elif defined(SIZEOF_LONG_LONG) && SIZEOF_VOID_P == SIZEOF_LONG_LONG
+#  define _Py_PARSE_INTPTR "L"
+#  define _Py_PARSE_UINTPTR "K"
+#else
+#  error "void* different in size from int, long and long long"
+#endif /* SIZEOF_VOID_P */
+
+#ifndef Py_LIMITED_API
+PyAPI_FUNC(int) _PyLong_UnsignedShort_Converter(PyObject *, void *);
+PyAPI_FUNC(int) _PyLong_UnsignedInt_Converter(PyObject *, void *);
+PyAPI_FUNC(int) _PyLong_UnsignedLong_Converter(PyObject *, void *);
+PyAPI_FUNC(int) _PyLong_UnsignedLongLong_Converter(PyObject *, void *);
+PyAPI_FUNC(int) _PyLong_Size_t_Converter(PyObject *, void *);
+#endif
+
+/* Used by Python/mystrtoul.c, _PyBytes_FromHex(),
+   _PyBytes_DecodeEscapeRecode(), etc. */
+#ifndef Py_LIMITED_API
+PyAPI_DATA(unsigned char) _PyLong_DigitValue[256];
+#endif
+
+/* _PyLong_Frexp returns a double x and an exponent e such that the
+   true value is approximately equal to x * 2**e.  e is >= 0.  x is
+   0.0 if and only if the input is 0 (in which case, e and x are both
+   zeroes); otherwise, 0.5 <= abs(x) < 1.0.  On overflow, which is
+   possible if the number of bits doesn't fit into a Py_ssize_t, sets
+   OverflowError and returns -1.0 for x, 0 for e. */
+#ifndef Py_LIMITED_API
+PyAPI_FUNC(double) _PyLong_Frexp(PyLongObject *a, Py_ssize_t *e);
+#endif
+
+PyAPI_FUNC(double) PyLong_AsDouble(PyObject *);
+PyAPI_FUNC(PyObject *) PyLong_FromVoidPtr(void *);
+PyAPI_FUNC(void *) PyLong_AsVoidPtr(PyObject *);
+
+PyAPI_FUNC(PyObject *) PyLong_FromLongLong(long long);
+PyAPI_FUNC(PyObject *) PyLong_FromUnsignedLongLong(unsigned long long);
+PyAPI_FUNC(long long) PyLong_AsLongLong(PyObject *);
+PyAPI_FUNC(unsigned long long) PyLong_AsUnsignedLongLong(PyObject *);
+PyAPI_FUNC(unsigned long long) PyLong_AsUnsignedLongLongMask(PyObject *);
+PyAPI_FUNC(long long) PyLong_AsLongLongAndOverflow(PyObject *, int *);
+
+PyAPI_FUNC(PyObject *) PyLong_FromString(const char *, char **, int);
+#ifndef Py_LIMITED_API
+Py_DEPRECATED(3.3)
+PyAPI_FUNC(PyObject *) PyLong_FromUnicode(Py_UNICODE*, Py_ssize_t, int);
+PyAPI_FUNC(PyObject *) PyLong_FromUnicodeObject(PyObject *u, int base);
+PyAPI_FUNC(PyObject *) _PyLong_FromBytes(const char *, Py_ssize_t, int);
+#endif
+
+#ifndef Py_LIMITED_API
+/* _PyLong_Sign.  Return 0 if v is 0, -1 if v < 0, +1 if v > 0.
+   v must not be NULL, and must be a normalized long.
+   There are no error cases.
+*/
+PyAPI_FUNC(int) _PyLong_Sign(PyObject *v);
+
+
+/* _PyLong_NumBits.  Return the number of bits needed to represent the
+   absolute value of a long.  For example, this returns 1 for 1 and -1, 2
+   for 2 and -2, and 2 for 3 and -3.  It returns 0 for 0.
+   v must not be NULL, and must be a normalized long.
+   (size_t)-1 is returned and OverflowError set if the true result doesn't
+   fit in a size_t.
+*/
+PyAPI_FUNC(size_t) _PyLong_NumBits(PyObject *v);
+
+/* _PyLong_DivmodNear.  Given integers a and b, compute the nearest
+   integer q to the exact quotient a / b, rounding to the nearest even integer
+   in the case of a tie.  Return (q, r), where r = a - q*b.  The remainder r
+   will satisfy abs(r) <= abs(b)/2, with equality possible only if q is
+   even.
+*/
+PyAPI_FUNC(PyObject *) _PyLong_DivmodNear(PyObject *, PyObject *);
+
+/* _PyLong_FromByteArray:  View the n unsigned bytes as a binary integer in
+   base 256, and return a Python int with the same numeric value.
+   If n is 0, the integer is 0.  Else:
+   If little_endian is 1/true, bytes[n-1] is the MSB and bytes[0] the LSB;
+   else (little_endian is 0/false) bytes[0] is the MSB and bytes[n-1] the
+   LSB.
+   If is_signed is 0/false, view the bytes as a non-negative integer.
+   If is_signed is 1/true, view the bytes as a 2's-complement integer,
+   non-negative if bit 0x80 of the MSB is clear, negative if set.
+   Error returns:
+   + Return NULL with the appropriate exception set if there's not
+     enough memory to create the Python int.
+*/
+PyAPI_FUNC(PyObject *) _PyLong_FromByteArray(
+    const unsigned char* bytes, size_t n,
+    int little_endian, int is_signed);
+
+/* _PyLong_AsByteArray: Convert the least-significant 8*n bits of long
+   v to a base-256 integer, stored in array bytes.  Normally return 0,
+   return -1 on error.
+   If little_endian is 1/true, store the MSB at bytes[n-1] and the LSB at
+   bytes[0]; else (little_endian is 0/false) store the MSB at bytes[0] and
+   the LSB at bytes[n-1].
+   If is_signed is 0/false, it's an error if v < 0; else (v >= 0) n bytes
+   are filled and there's nothing special about bit 0x80 of the MSB.
+   If is_signed is 1/true, bytes is filled with the 2's-complement
+   representation of v's value.  Bit 0x80 of the MSB is the sign bit.
+   Error returns (-1):
+   + is_signed is 0 and v < 0.  TypeError is set in this case, and bytes
+     isn't altered.
+   + n isn't big enough to hold the full mathematical value of v.  For
+     example, if is_signed is 0 and there are more digits in the v than
+     fit in n; or if is_signed is 1, v < 0, and n is just 1 bit shy of
+     being large enough to hold a sign bit.  OverflowError is set in this
+     case, but bytes holds the least-significant n bytes of the true value.
+*/
+PyAPI_FUNC(int) _PyLong_AsByteArray(PyLongObject* v,
+    unsigned char* bytes, size_t n,
+    int little_endian, int is_signed);
+
+/* _PyLong_FromNbInt: Convert the given object to a PyLongObject
+   using the nb_int slot, if available.  Raise TypeError if either the
+   nb_int slot is not available or the result of the call to nb_int
+   returns something not of type int.
+*/
+PyAPI_FUNC(PyObject *) _PyLong_FromNbInt(PyObject *);
+
+/* Convert the given object to a PyLongObject using the nb_index or
+   nb_int slots, if available (the latter is deprecated).
+   Raise TypeError if either nb_index and nb_int slots are not
+   available or the result of the call to nb_index or nb_int
+   returns something not of type int.
+   Should be replaced with PyNumber_Index after the end of the
+   deprecation period.
+*/
+PyAPI_FUNC(PyObject *) _PyLong_FromNbIndexOrNbInt(PyObject *);
+
+/* _PyLong_Format: Convert the long to a string object with given base,
+   appending a base prefix of 0[box] if base is 2, 8 or 16. */
+PyAPI_FUNC(PyObject *) _PyLong_Format(PyObject *obj, int base);
+
+PyAPI_FUNC(int) _PyLong_FormatWriter(
+    _PyUnicodeWriter *writer,
+    PyObject *obj,
+    int base,
+    int alternate);
+
+PyAPI_FUNC(char*) _PyLong_FormatBytesWriter(
+    _PyBytesWriter *writer,
+    char *str,
+    PyObject *obj,
+    int base,
+    int alternate);
+
+/* Format the object based on the format_spec, as defined in PEP 3101
+   (Advanced String Formatting). */
+PyAPI_FUNC(int) _PyLong_FormatAdvancedWriter(
+    _PyUnicodeWriter *writer,
+    PyObject *obj,
+    PyObject *format_spec,
+    Py_ssize_t start,
+    Py_ssize_t end);
+#endif /* Py_LIMITED_API */
+
+/* These aren't really part of the int object, but they're handy. The
+   functions are in Python/mystrtoul.c.
+ */
+PyAPI_FUNC(unsigned long) PyOS_strtoul(const char *, char **, int);
+PyAPI_FUNC(long) PyOS_strtol(const char *, char **, int);
+
+#ifndef Py_LIMITED_API
+/* For use by the gcd function in mathmodule.c */
+PyAPI_FUNC(PyObject *) _PyLong_GCD(PyObject *, PyObject *);
+#endif /* !Py_LIMITED_API */
+
+#ifndef Py_LIMITED_API
+PyAPI_DATA(PyObject *) _PyLong_Zero;
+PyAPI_DATA(PyObject *) _PyLong_One;
+
+PyAPI_FUNC(PyObject *) _PyLong_Rshift(PyObject *, size_t);
+PyAPI_FUNC(PyObject *) _PyLong_Lshift(PyObject *, size_t);
+#endif
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* !Py_LONGOBJECT_H */