642 lines
19 KiB
C
642 lines
19 KiB
C
// Int primitive operations (tagged arbitrary-precision integers)
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//
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// These are registered in mypyc.primitives.int_ops.
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#include <Python.h>
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#include "CPy.h"
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#ifndef _WIN32
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// On 64-bit Linux and macOS, ssize_t and long are both 64 bits, and
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// PyLong_FromLong is faster than PyLong_FromSsize_t, so use the faster one
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#define CPyLong_FromSsize_t PyLong_FromLong
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#else
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// On 64-bit Windows, ssize_t is 64 bits but long is 32 bits, so we
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// can't use the above trick
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#define CPyLong_FromSsize_t PyLong_FromSsize_t
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#endif
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CPyTagged CPyTagged_FromSsize_t(Py_ssize_t value) {
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// We use a Python object if the value shifted left by 1 is too
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// large for Py_ssize_t
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if (unlikely(CPyTagged_TooBig(value))) {
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PyObject *object = PyLong_FromSsize_t(value);
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return ((CPyTagged)object) | CPY_INT_TAG;
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} else {
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return value << 1;
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}
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}
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CPyTagged CPyTagged_FromVoidPtr(void *ptr) {
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if ((uintptr_t)ptr > PY_SSIZE_T_MAX) {
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PyObject *object = PyLong_FromVoidPtr(ptr);
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return ((CPyTagged)object) | CPY_INT_TAG;
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} else {
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return CPyTagged_FromSsize_t((Py_ssize_t)ptr);
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}
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}
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CPyTagged CPyTagged_FromInt64(int64_t value) {
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if (unlikely(CPyTagged_TooBigInt64(value))) {
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PyObject *object = PyLong_FromLongLong(value);
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return ((CPyTagged)object) | CPY_INT_TAG;
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} else {
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return value << 1;
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}
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}
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CPyTagged CPyTagged_FromObject(PyObject *object) {
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int overflow;
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// The overflow check knows about CPyTagged's width
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Py_ssize_t value = CPyLong_AsSsize_tAndOverflow(object, &overflow);
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if (unlikely(overflow != 0)) {
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Py_INCREF(object);
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return ((CPyTagged)object) | CPY_INT_TAG;
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} else {
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return value << 1;
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}
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}
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CPyTagged CPyTagged_StealFromObject(PyObject *object) {
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int overflow;
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// The overflow check knows about CPyTagged's width
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Py_ssize_t value = CPyLong_AsSsize_tAndOverflow(object, &overflow);
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if (unlikely(overflow != 0)) {
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return ((CPyTagged)object) | CPY_INT_TAG;
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} else {
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Py_DECREF(object);
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return value << 1;
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}
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}
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CPyTagged CPyTagged_BorrowFromObject(PyObject *object) {
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int overflow;
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// The overflow check knows about CPyTagged's width
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Py_ssize_t value = CPyLong_AsSsize_tAndOverflow(object, &overflow);
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if (unlikely(overflow != 0)) {
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return ((CPyTagged)object) | CPY_INT_TAG;
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} else {
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return value << 1;
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}
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}
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PyObject *CPyTagged_AsObject(CPyTagged x) {
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PyObject *value;
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if (unlikely(CPyTagged_CheckLong(x))) {
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value = CPyTagged_LongAsObject(x);
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Py_INCREF(value);
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} else {
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value = CPyLong_FromSsize_t(CPyTagged_ShortAsSsize_t(x));
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if (value == NULL) {
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CPyError_OutOfMemory();
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}
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}
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return value;
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}
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PyObject *CPyTagged_StealAsObject(CPyTagged x) {
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PyObject *value;
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if (unlikely(CPyTagged_CheckLong(x))) {
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value = CPyTagged_LongAsObject(x);
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} else {
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value = CPyLong_FromSsize_t(CPyTagged_ShortAsSsize_t(x));
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if (value == NULL) {
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CPyError_OutOfMemory();
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}
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}
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return value;
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}
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Py_ssize_t CPyTagged_AsSsize_t(CPyTagged x) {
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if (likely(CPyTagged_CheckShort(x))) {
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return CPyTagged_ShortAsSsize_t(x);
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} else {
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return PyLong_AsSsize_t(CPyTagged_LongAsObject(x));
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}
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}
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CPy_NOINLINE
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void CPyTagged_IncRef(CPyTagged x) {
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if (unlikely(CPyTagged_CheckLong(x))) {
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Py_INCREF(CPyTagged_LongAsObject(x));
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}
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}
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CPy_NOINLINE
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void CPyTagged_DecRef(CPyTagged x) {
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if (unlikely(CPyTagged_CheckLong(x))) {
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Py_DECREF(CPyTagged_LongAsObject(x));
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}
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}
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CPy_NOINLINE
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void CPyTagged_XDecRef(CPyTagged x) {
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if (unlikely(CPyTagged_CheckLong(x))) {
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Py_XDECREF(CPyTagged_LongAsObject(x));
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}
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}
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CPyTagged CPyTagged_Negate(CPyTagged num) {
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if (CPyTagged_CheckShort(num)
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&& num != (CPyTagged) ((Py_ssize_t)1 << (CPY_INT_BITS - 1))) {
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// The only possibility of an overflow error happening when negating a short is if we
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// attempt to negate the most negative number.
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return -num;
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}
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PyObject *num_obj = CPyTagged_AsObject(num);
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PyObject *result = PyNumber_Negative(num_obj);
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if (result == NULL) {
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CPyError_OutOfMemory();
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}
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Py_DECREF(num_obj);
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return CPyTagged_StealFromObject(result);
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}
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CPyTagged CPyTagged_Add(CPyTagged left, CPyTagged right) {
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// TODO: Use clang/gcc extension __builtin_saddll_overflow instead.
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if (likely(CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right))) {
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CPyTagged sum = left + right;
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if (likely(!CPyTagged_IsAddOverflow(sum, left, right))) {
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return sum;
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}
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}
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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PyObject *result = PyNumber_Add(left_obj, right_obj);
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if (result == NULL) {
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CPyError_OutOfMemory();
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}
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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return CPyTagged_StealFromObject(result);
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}
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CPyTagged CPyTagged_Subtract(CPyTagged left, CPyTagged right) {
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// TODO: Use clang/gcc extension __builtin_saddll_overflow instead.
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if (likely(CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right))) {
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CPyTagged diff = left - right;
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if (likely(!CPyTagged_IsSubtractOverflow(diff, left, right))) {
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return diff;
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}
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}
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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PyObject *result = PyNumber_Subtract(left_obj, right_obj);
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if (result == NULL) {
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CPyError_OutOfMemory();
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}
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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return CPyTagged_StealFromObject(result);
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}
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CPyTagged CPyTagged_Multiply(CPyTagged left, CPyTagged right) {
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// TODO: Consider using some clang/gcc extension
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if (CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right)) {
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if (!CPyTagged_IsMultiplyOverflow(left, right)) {
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return left * CPyTagged_ShortAsSsize_t(right);
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}
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}
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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PyObject *result = PyNumber_Multiply(left_obj, right_obj);
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if (result == NULL) {
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CPyError_OutOfMemory();
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}
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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return CPyTagged_StealFromObject(result);
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}
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CPyTagged CPyTagged_FloorDivide(CPyTagged left, CPyTagged right) {
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if (CPyTagged_CheckShort(left)
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&& CPyTagged_CheckShort(right)
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&& !CPyTagged_MaybeFloorDivideFault(left, right)) {
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Py_ssize_t result = CPyTagged_ShortAsSsize_t(left) / CPyTagged_ShortAsSsize_t(right);
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if (((Py_ssize_t)left < 0) != (((Py_ssize_t)right) < 0)) {
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if (result * right != left) {
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// Round down
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result--;
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}
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}
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return result << 1;
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}
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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PyObject *result = PyNumber_FloorDivide(left_obj, right_obj);
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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// Handle exceptions honestly because it could be ZeroDivisionError
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if (result == NULL) {
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return CPY_INT_TAG;
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} else {
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return CPyTagged_StealFromObject(result);
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}
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}
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CPyTagged CPyTagged_Remainder(CPyTagged left, CPyTagged right) {
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if (CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right)
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&& !CPyTagged_MaybeRemainderFault(left, right)) {
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Py_ssize_t result = (Py_ssize_t)left % (Py_ssize_t)right;
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if (((Py_ssize_t)right < 0) != ((Py_ssize_t)left < 0) && result != 0) {
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result += right;
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}
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return result;
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}
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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PyObject *result = PyNumber_Remainder(left_obj, right_obj);
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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// Handle exceptions honestly because it could be ZeroDivisionError
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if (result == NULL) {
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return CPY_INT_TAG;
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} else {
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return CPyTagged_StealFromObject(result);
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}
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}
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bool CPyTagged_IsEq_(CPyTagged left, CPyTagged right) {
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if (CPyTagged_CheckShort(right)) {
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return false;
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} else {
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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int result = PyObject_RichCompareBool(left_obj, right_obj, Py_EQ);
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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if (result == -1) {
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CPyError_OutOfMemory();
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}
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return result;
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}
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}
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bool CPyTagged_IsLt_(CPyTagged left, CPyTagged right) {
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PyObject *left_obj = CPyTagged_AsObject(left);
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PyObject *right_obj = CPyTagged_AsObject(right);
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int result = PyObject_RichCompareBool(left_obj, right_obj, Py_LT);
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Py_DECREF(left_obj);
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Py_DECREF(right_obj);
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if (result == -1) {
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CPyError_OutOfMemory();
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}
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return result;
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}
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PyObject *CPyLong_FromStrWithBase(PyObject *o, CPyTagged base) {
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Py_ssize_t base_size_t = CPyTagged_AsSsize_t(base);
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return PyLong_FromUnicodeObject(o, base_size_t);
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}
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PyObject *CPyLong_FromStr(PyObject *o) {
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CPyTagged base = CPyTagged_FromSsize_t(10);
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return CPyLong_FromStrWithBase(o, base);
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}
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PyObject *CPyLong_FromFloat(PyObject *o) {
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if (PyLong_Check(o)) {
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CPy_INCREF(o);
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return o;
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} else {
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return PyLong_FromDouble(PyFloat_AS_DOUBLE(o));
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}
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}
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PyObject *CPyBool_Str(bool b) {
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return PyObject_Str(b ? Py_True : Py_False);
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}
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static void CPyLong_NormalizeUnsigned(PyLongObject *v) {
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Py_ssize_t i = v->ob_base.ob_size;
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while (i > 0 && v->ob_digit[i - 1] == 0)
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i--;
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v->ob_base.ob_size = i;
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}
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// Bitwise op '&', '|' or '^' using the generic (slow) API
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static CPyTagged GenericBitwiseOp(CPyTagged a, CPyTagged b, char op) {
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PyObject *aobj = CPyTagged_AsObject(a);
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PyObject *bobj = CPyTagged_AsObject(b);
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PyObject *r;
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if (op == '&') {
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r = PyNumber_And(aobj, bobj);
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} else if (op == '|') {
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r = PyNumber_Or(aobj, bobj);
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} else {
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r = PyNumber_Xor(aobj, bobj);
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}
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if (unlikely(r == NULL)) {
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CPyError_OutOfMemory();
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}
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Py_DECREF(aobj);
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Py_DECREF(bobj);
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return CPyTagged_StealFromObject(r);
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}
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// Return pointer to digits of a PyLong object. If it's a short
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// integer, place digits in the buffer buf instead to avoid memory
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// allocation (it's assumed to be big enough). Return the number of
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// digits in *size. *size is negative if the integer is negative.
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static digit *GetIntDigits(CPyTagged n, Py_ssize_t *size, digit *buf) {
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if (CPyTagged_CheckShort(n)) {
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Py_ssize_t val = CPyTagged_ShortAsSsize_t(n);
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bool neg = val < 0;
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int len = 1;
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if (neg) {
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val = -val;
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}
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buf[0] = val & PyLong_MASK;
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if (val > PyLong_MASK) {
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val >>= PyLong_SHIFT;
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buf[1] = val & PyLong_MASK;
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if (val > PyLong_MASK) {
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buf[2] = val >> PyLong_SHIFT;
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len = 3;
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} else {
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len = 2;
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}
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}
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*size = neg ? -len : len;
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return buf;
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} else {
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PyLongObject *obj = (PyLongObject *)CPyTagged_LongAsObject(n);
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*size = obj->ob_base.ob_size;
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return obj->ob_digit;
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}
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}
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// Shared implementation of bitwise '&', '|' and '^' (specified by op) for at least
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// one long operand. This is somewhat optimized for performance.
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static CPyTagged BitwiseLongOp(CPyTagged a, CPyTagged b, char op) {
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// Directly access the digits, as there is no fast C API function for this.
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digit abuf[3];
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digit bbuf[3];
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Py_ssize_t asize;
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Py_ssize_t bsize;
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digit *adigits = GetIntDigits(a, &asize, abuf);
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digit *bdigits = GetIntDigits(b, &bsize, bbuf);
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PyLongObject *r;
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if (unlikely(asize < 0 || bsize < 0)) {
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// Negative operand. This is slower, but bitwise ops on them are pretty rare.
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return GenericBitwiseOp(a, b, op);
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}
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// Optimized implementation for two non-negative integers.
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// Swap a and b as needed to ensure a is no longer than b.
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if (asize > bsize) {
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digit *tmp = adigits;
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adigits = bdigits;
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bdigits = tmp;
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Py_ssize_t tmp_size = asize;
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asize = bsize;
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bsize = tmp_size;
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}
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r = _PyLong_New(op == '&' ? asize : bsize);
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if (unlikely(r == NULL)) {
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CPyError_OutOfMemory();
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}
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Py_ssize_t i;
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if (op == '&') {
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for (i = 0; i < asize; i++) {
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r->ob_digit[i] = adigits[i] & bdigits[i];
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}
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} else {
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if (op == '|') {
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for (i = 0; i < asize; i++) {
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r->ob_digit[i] = adigits[i] | bdigits[i];
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}
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} else {
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for (i = 0; i < asize; i++) {
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r->ob_digit[i] = adigits[i] ^ bdigits[i];
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}
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}
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for (; i < bsize; i++) {
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r->ob_digit[i] = bdigits[i];
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}
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}
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CPyLong_NormalizeUnsigned(r);
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return CPyTagged_StealFromObject((PyObject *)r);
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}
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// Bitwise '&'
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CPyTagged CPyTagged_And(CPyTagged left, CPyTagged right) {
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if (likely(CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right))) {
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return left & right;
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}
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return BitwiseLongOp(left, right, '&');
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}
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// Bitwise '|'
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CPyTagged CPyTagged_Or(CPyTagged left, CPyTagged right) {
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if (likely(CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right))) {
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return left | right;
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}
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return BitwiseLongOp(left, right, '|');
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}
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// Bitwise '^'
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CPyTagged CPyTagged_Xor(CPyTagged left, CPyTagged right) {
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if (likely(CPyTagged_CheckShort(left) && CPyTagged_CheckShort(right))) {
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return left ^ right;
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}
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return BitwiseLongOp(left, right, '^');
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}
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// Bitwise '~'
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CPyTagged CPyTagged_Invert(CPyTagged num) {
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if (likely(CPyTagged_CheckShort(num) && num != CPY_TAGGED_ABS_MIN)) {
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return ~num & ~CPY_INT_TAG;
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} else {
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PyObject *obj = CPyTagged_AsObject(num);
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PyObject *result = PyNumber_Invert(obj);
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if (unlikely(result == NULL)) {
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CPyError_OutOfMemory();
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}
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Py_DECREF(obj);
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return CPyTagged_StealFromObject(result);
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}
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}
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// Bitwise '>>'
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CPyTagged CPyTagged_Rshift(CPyTagged left, CPyTagged right) {
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if (likely(CPyTagged_CheckShort(left)
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&& CPyTagged_CheckShort(right)
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&& (Py_ssize_t)right >= 0)) {
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CPyTagged count = CPyTagged_ShortAsSsize_t(right);
|
|
if (unlikely(count >= CPY_INT_BITS)) {
|
|
if ((Py_ssize_t)left >= 0) {
|
|
return 0;
|
|
} else {
|
|
return CPyTagged_ShortFromInt(-1);
|
|
}
|
|
}
|
|
return ((Py_ssize_t)left >> count) & ~CPY_INT_TAG;
|
|
} else {
|
|
// Long integer or negative shift -- use generic op
|
|
PyObject *lobj = CPyTagged_AsObject(left);
|
|
PyObject *robj = CPyTagged_AsObject(right);
|
|
PyObject *result = PyNumber_Rshift(lobj, robj);
|
|
Py_DECREF(lobj);
|
|
Py_DECREF(robj);
|
|
if (result == NULL) {
|
|
// Propagate error (could be negative shift count)
|
|
return CPY_INT_TAG;
|
|
}
|
|
return CPyTagged_StealFromObject(result);
|
|
}
|
|
}
|
|
|
|
static inline bool IsShortLshiftOverflow(Py_ssize_t short_int, Py_ssize_t shift) {
|
|
return ((Py_ssize_t)(short_int << shift) >> shift) != short_int;
|
|
}
|
|
|
|
// Bitwise '<<'
|
|
CPyTagged CPyTagged_Lshift(CPyTagged left, CPyTagged right) {
|
|
if (likely(CPyTagged_CheckShort(left)
|
|
&& CPyTagged_CheckShort(right)
|
|
&& (Py_ssize_t)right >= 0
|
|
&& right < CPY_INT_BITS * 2)) {
|
|
CPyTagged shift = CPyTagged_ShortAsSsize_t(right);
|
|
if (!IsShortLshiftOverflow(left, shift))
|
|
// Short integers, no overflow
|
|
return left << shift;
|
|
}
|
|
// Long integer or out of range shift -- use generic op
|
|
PyObject *lobj = CPyTagged_AsObject(left);
|
|
PyObject *robj = CPyTagged_AsObject(right);
|
|
PyObject *result = PyNumber_Lshift(lobj, robj);
|
|
Py_DECREF(lobj);
|
|
Py_DECREF(robj);
|
|
if (result == NULL) {
|
|
// Propagate error (could be negative shift count)
|
|
return CPY_INT_TAG;
|
|
}
|
|
return CPyTagged_StealFromObject(result);
|
|
}
|
|
|
|
int64_t CPyLong_AsInt64(PyObject *o) {
|
|
if (likely(PyLong_Check(o))) {
|
|
PyLongObject *lobj = (PyLongObject *)o;
|
|
Py_ssize_t size = Py_SIZE(lobj);
|
|
if (likely(size == 1)) {
|
|
// Fast path
|
|
return lobj->ob_digit[0];
|
|
} else if (likely(size == 0)) {
|
|
return 0;
|
|
}
|
|
}
|
|
// Slow path
|
|
int overflow;
|
|
int64_t result = PyLong_AsLongLongAndOverflow(o, &overflow);
|
|
if (result == -1) {
|
|
if (PyErr_Occurred()) {
|
|
return CPY_LL_INT_ERROR;
|
|
} else if (overflow) {
|
|
PyErr_SetString(PyExc_OverflowError, "int too large to convert to i64");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
}
|
|
return result;
|
|
}
|
|
|
|
int64_t CPyInt64_Divide(int64_t x, int64_t y) {
|
|
if (y == 0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
if (y == -1 && x == -1LL << 63) {
|
|
PyErr_SetString(PyExc_OverflowError, "integer division overflow");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
int64_t d = x / y;
|
|
// Adjust for Python semantics
|
|
if (((x < 0) != (y < 0)) && d * y != x) {
|
|
d--;
|
|
}
|
|
return d;
|
|
}
|
|
|
|
int64_t CPyInt64_Remainder(int64_t x, int64_t y) {
|
|
if (y == 0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
// Edge case: avoid core dump
|
|
if (y == -1 && x == -1LL << 63) {
|
|
return 0;
|
|
}
|
|
int64_t d = x % y;
|
|
// Adjust for Python semantics
|
|
if (((x < 0) != (y < 0)) && d != 0) {
|
|
d += y;
|
|
}
|
|
return d;
|
|
}
|
|
|
|
int32_t CPyLong_AsInt32(PyObject *o) {
|
|
if (likely(PyLong_Check(o))) {
|
|
PyLongObject *lobj = (PyLongObject *)o;
|
|
Py_ssize_t size = lobj->ob_base.ob_size;
|
|
if (likely(size == 1)) {
|
|
// Fast path
|
|
return lobj->ob_digit[0];
|
|
} else if (likely(size == 0)) {
|
|
return 0;
|
|
}
|
|
}
|
|
// Slow path
|
|
int overflow;
|
|
long result = PyLong_AsLongAndOverflow(o, &overflow);
|
|
if (result > 0x7fffffffLL || result < -0x80000000LL) {
|
|
overflow = 1;
|
|
result = -1;
|
|
}
|
|
if (result == -1) {
|
|
if (PyErr_Occurred()) {
|
|
return CPY_LL_INT_ERROR;
|
|
} else if (overflow) {
|
|
PyErr_SetString(PyExc_OverflowError, "int too large to convert to i32");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
}
|
|
return result;
|
|
}
|
|
|
|
int32_t CPyInt32_Divide(int32_t x, int32_t y) {
|
|
if (y == 0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
if (y == -1 && x == -1LL << 31) {
|
|
PyErr_SetString(PyExc_OverflowError, "integer division overflow");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
int32_t d = x / y;
|
|
// Adjust for Python semantics
|
|
if (((x < 0) != (y < 0)) && d * y != x) {
|
|
d--;
|
|
}
|
|
return d;
|
|
}
|
|
|
|
int32_t CPyInt32_Remainder(int32_t x, int32_t y) {
|
|
if (y == 0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
|
|
return CPY_LL_INT_ERROR;
|
|
}
|
|
// Edge case: avoid core dump
|
|
if (y == -1 && x == -1LL << 31) {
|
|
return 0;
|
|
}
|
|
int32_t d = x % y;
|
|
// Adjust for Python semantics
|
|
if (((x < 0) != (y < 0)) && d != 0) {
|
|
d += y;
|
|
}
|
|
return d;
|
|
}
|
|
|
|
void CPyInt32_Overflow() {
|
|
PyErr_SetString(PyExc_OverflowError, "int too large to convert to i32");
|
|
}
|