--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/CSP2/CSP2_env/env-d9b9114564458d9d-741b3de822f2aaca6c6caa4325c4afce/include/python3.8/longintrepr.h	Tue Mar 18 17:55:14 2025 -0400
@@ -0,0 +1,99 @@
+#ifndef Py_LIMITED_API
+#ifndef Py_LONGINTREPR_H
+#define Py_LONGINTREPR_H
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+
+/* This is published for the benefit of "friends" marshal.c and _decimal.c. */
+
+/* Parameters of the integer representation.  There are two different
+   sets of parameters: one set for 30-bit digits, stored in an unsigned 32-bit
+   integer type, and one set for 15-bit digits with each digit stored in an
+   unsigned short.  The value of PYLONG_BITS_IN_DIGIT, defined either at
+   configure time or in pyport.h, is used to decide which digit size to use.
+
+   Type 'digit' should be able to hold 2*PyLong_BASE-1, and type 'twodigits'
+   should be an unsigned integer type able to hold all integers up to
+   PyLong_BASE*PyLong_BASE-1.  x_sub assumes that 'digit' is an unsigned type,
+   and that overflow is handled by taking the result modulo 2**N for some N >
+   PyLong_SHIFT.  The majority of the code doesn't care about the precise
+   value of PyLong_SHIFT, but there are some notable exceptions:
+
+   - long_pow() requires that PyLong_SHIFT be divisible by 5
+
+   - PyLong_{As,From}ByteArray require that PyLong_SHIFT be at least 8
+
+   - long_hash() requires that PyLong_SHIFT is *strictly* less than the number
+     of bits in an unsigned long, as do the PyLong <-> long (or unsigned long)
+     conversion functions
+
+   - the Python int <-> size_t/Py_ssize_t conversion functions expect that
+     PyLong_SHIFT is strictly less than the number of bits in a size_t
+
+   - the marshal code currently expects that PyLong_SHIFT is a multiple of 15
+
+   - NSMALLNEGINTS and NSMALLPOSINTS should be small enough to fit in a single
+     digit; with the current values this forces PyLong_SHIFT >= 9
+
+  The values 15 and 30 should fit all of the above requirements, on any
+  platform.
+*/
+
+#if PYLONG_BITS_IN_DIGIT == 30
+typedef uint32_t digit;
+typedef int32_t sdigit; /* signed variant of digit */
+typedef uint64_t twodigits;
+typedef int64_t stwodigits; /* signed variant of twodigits */
+#define PyLong_SHIFT    30
+#define _PyLong_DECIMAL_SHIFT   9 /* max(e such that 10**e fits in a digit) */
+#define _PyLong_DECIMAL_BASE    ((digit)1000000000) /* 10 ** DECIMAL_SHIFT */
+#elif PYLONG_BITS_IN_DIGIT == 15
+typedef unsigned short digit;
+typedef short sdigit; /* signed variant of digit */
+typedef unsigned long twodigits;
+typedef long stwodigits; /* signed variant of twodigits */
+#define PyLong_SHIFT    15
+#define _PyLong_DECIMAL_SHIFT   4 /* max(e such that 10**e fits in a digit) */
+#define _PyLong_DECIMAL_BASE    ((digit)10000) /* 10 ** DECIMAL_SHIFT */
+#else
+#error "PYLONG_BITS_IN_DIGIT should be 15 or 30"
+#endif
+#define PyLong_BASE     ((digit)1 << PyLong_SHIFT)
+#define PyLong_MASK     ((digit)(PyLong_BASE - 1))
+
+#if PyLong_SHIFT % 5 != 0
+#error "longobject.c requires that PyLong_SHIFT be divisible by 5"
+#endif
+
+/* Long integer representation.
+   The absolute value of a number is equal to
+        SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i)
+   Negative numbers are represented with ob_size < 0;
+   zero is represented by ob_size == 0.
+   In a normalized number, ob_digit[abs(ob_size)-1] (the most significant
+   digit) is never zero.  Also, in all cases, for all valid i,
+        0 <= ob_digit[i] <= MASK.
+   The allocation function takes care of allocating extra memory
+   so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available.
+
+   CAUTION:  Generic code manipulating subtypes of PyVarObject has to
+   aware that ints abuse  ob_size's sign bit.
+*/
+
+struct _longobject {
+    PyObject_VAR_HEAD
+    digit ob_digit[1];
+};
+
+PyAPI_FUNC(PyLongObject *) _PyLong_New(Py_ssize_t);
+
+/* Return a copy of src. */
+PyAPI_FUNC(PyObject *) _PyLong_Copy(PyLongObject *src);
+
+#ifdef __cplusplus
+}
+#endif
+#endif /* !Py_LONGINTREPR_H */
+#endif /* Py_LIMITED_API */