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gmpy2_divmod.c
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/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* gmpy2_divmod.c *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* Python interface to the GMP or MPIR, MPFR, and MPC multiple precision *
* libraries. *
* *
* Copyright 2000 - 2009 Alex Martelli *
* *
* Copyright 2008 - 2021 Case Van Horsen *
* *
* This file is part of GMPY2. *
* *
* GMPY2 is free software: you can redistribute it and/or modify it under *
* the terms of the GNU Lesser General Public License as published by the *
* Free Software Foundation, either version 3 of the License, or (at your *
* option) any later version. *
* *
* GMPY2 is distributed in the hope that it will be useful, but WITHOUT *
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or *
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public *
* License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public *
* License along with GMPY2; if not, see <http://www.gnu.org/licenses/> *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
/* This file implements __divmod__ and context.divmod().
*/
static PyObject *
GMPy_Integer_DivModWithType(PyObject *x, int xtype, PyObject *y, int ytype,
CTXT_Object *context)
{
PyObject *result = NULL;
MPZ_Object *tempx = NULL, *tempy = NULL, *rem = NULL, *quo = NULL;
CHECK_CONTEXT(context);
if (!(result = PyTuple_New(2)) ||
!(rem = GMPy_MPZ_New(context)) ||
!(quo = GMPy_MPZ_New(context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (IS_TYPE_MPZANY(xtype)) {
if (IS_TYPE_MPZANY(ytype)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
GMPY_MAYBE_BEGIN_ALLOW_THREADS(context);
mpz_fdiv_qr(quo->z, rem->z, MPZ(x), MPZ(y));
GMPY_MAYBE_END_ALLOW_THREADS(context);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
if (IS_TYPE_PyInteger(ytype)) {
int error;
long temp = PyLong_AsLongAndOverflow(y, &error);
if (error) {
/* Use quo->z as a temporary variable. */
mpz_set_PyIntOrLong(quo->z, y);
GMPY_MAYBE_BEGIN_ALLOW_THREADS(context);
mpz_fdiv_qr(quo->z, rem->z, MPZ(x), quo->z);
GMPY_MAYBE_END_ALLOW_THREADS(context);
}
else if (temp > 0) {
mpz_fdiv_qr_ui(quo->z, rem->z, MPZ(x), temp);
}
else if (temp == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
else {
mpz_cdiv_qr_ui(quo->z, rem->z, MPZ(x), -temp);
mpz_neg(quo->z, quo->z);
}
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
}
if (IS_TYPE_MPZANY(ytype)) {
if (IS_TYPE_PyInteger(xtype)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
else {
mpz_set_PyIntOrLong(quo->z, x);
GMPY_MAYBE_BEGIN_ALLOW_THREADS(context);
mpz_fdiv_qr(quo->z, rem->z, quo->z, MPZ(y));
GMPY_MAYBE_END_ALLOW_THREADS(context);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return (PyObject*)result;
}
}
}
if (IS_TYPE_INTEGER(xtype) && IS_TYPE_INTEGER(ytype)) {
if (!(tempx = GMPy_MPZ_From_IntegerWithType(x, xtype, context)) ||
!(tempy = GMPy_MPZ_From_IntegerWithType(y, ytype, context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (mpz_sgn(tempy->z) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
GMPY_MAYBE_BEGIN_ALLOW_THREADS(context);
mpz_fdiv_qr(quo->z, rem->z, tempx->z, tempy->z);
GMPY_MAYBE_END_ALLOW_THREADS(context);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
/* LCOV_EXCL_START */
TYPE_ERROR("divmod() arguments not supported");
/* LCOV_EXCL_STOP */
error:
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_XDECREF((PyObject*)rem);
Py_XDECREF((PyObject*)quo);
Py_XDECREF(result);
return NULL;
}
static PyObject *
GMPy_Rational_DivModWithType(PyObject *x, int xtype, PyObject *y, int ytype,
CTXT_Object *context)
{
MPQ_Object *tempx = NULL, *tempy = NULL, *rem = NULL;
MPZ_Object *quo = NULL;
PyObject *result = NULL;
CHECK_CONTEXT(context);
if (!(result = PyTuple_New(2)) ||
!(rem = GMPy_MPQ_New(context)) ||
!(quo = GMPy_MPZ_New(context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (IS_TYPE_RATIONAL(xtype) && IS_TYPE_RATIONAL(ytype)) {
if (!(tempx = GMPy_MPQ_From_RationalWithType(x, xtype, context)) ||
!(tempy = GMPy_MPQ_From_RationalWithType(y, ytype, context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (mpq_sgn(tempy->q) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
GMPY_MAYBE_BEGIN_ALLOW_THREADS(context);
mpq_div(rem->q, tempx->q, tempy->q);
mpz_fdiv_q(quo->z, mpq_numref(rem->q), mpq_denref(rem->q));
/* Need to calculate x - quo * y. */
mpq_set_z(rem->q, quo->z);
mpq_mul(rem->q, rem->q, tempy->q);
mpq_sub(rem->q, tempx->q, rem->q);
GMPY_MAYBE_END_ALLOW_THREADS(context);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
/* LCOV_EXCL_START */
TYPE_ERROR("divmod() arguments not supported");
error:
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_XDECREF((PyObject*)rem);
Py_XDECREF((PyObject*)quo);
Py_XDECREF(result);
return NULL;
/* LCOV_EXCL_STOP */
}
static PyObject *
GMPy_Real_DivModWithType(PyObject *x, int xtype, PyObject *y, int ytype,
CTXT_Object *context)
{
MPFR_Object *tempx = NULL, *tempy = NULL, *quo = NULL, *rem = NULL, *temp;
PyObject *result = NULL;
CHECK_CONTEXT(context);
if (!(result = PyTuple_New(2)) ||
!(rem = GMPy_MPFR_New(0, context)) ||
!(quo = GMPy_MPFR_New(0, context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (IS_TYPE_REAL(xtype) && IS_TYPE_REAL(ytype)) {
if (!(tempx = GMPy_MPFR_From_RealWithType(x, xtype, 1, context)) ||
!(tempy = GMPy_MPFR_From_RealWithType(y, ytype, 1, context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (mpfr_zero_p(tempy->f)) {
context->ctx.divzero = 1;
if (context->ctx.traps & TRAP_DIVZERO) {
GMPY_DIVZERO("divmod() division by zero");
goto error;
}
mpfr_set_nan(quo->f);
mpfr_set_nan(rem->f);
goto okay;
}
if (mpfr_nan_p(tempx->f) || mpfr_nan_p(tempy->f) || mpfr_inf_p(tempx->f)) {
context->ctx.invalid = 1;
if (context->ctx.traps & TRAP_INVALID) {
GMPY_INVALID("divmod() invalid operation");
goto error;
}
mpfr_set_nan(quo->f);
mpfr_set_nan(rem->f);
goto okay;
}
if (mpfr_inf_p(tempy->f)) {
context->ctx.invalid = 1;
if (context->ctx.traps & TRAP_INVALID) {
GMPY_INVALID("divmod() invalid operation");
goto error;
}
if (mpfr_zero_p(tempx->f)) {
mpfr_set_zero(quo->f, mpfr_sgn(tempy->f));
mpfr_set_zero(rem->f, mpfr_sgn(tempy->f));
}
else if ((mpfr_signbit(tempx->f)) != (mpfr_signbit(tempy->f))) {
mpfr_set_si(quo->f, -1, MPFR_RNDN);
mpfr_set_inf(rem->f, mpfr_sgn(tempy->f));
}
else {
mpfr_set_si(quo->f, 0, MPFR_RNDN);
rem->rc = mpfr_set(rem->f, tempx->f, MPFR_RNDN);
}
goto okay;
}
if (!(temp = GMPy_MPFR_New(0, context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
mpfr_fmod(rem->f, tempx->f, tempy->f, MPFR_RNDN);
mpfr_sub(temp->f, tempx->f, rem->f, MPFR_RNDN);
mpfr_div(quo->f, temp->f, tempy->f, MPFR_RNDN);
Py_DECREF((PyObject*)temp);
if (!mpfr_zero_p(rem->f)) {
if ((mpfr_sgn(tempy->f) < 0) != (mpfr_sgn(rem->f) < 0)) {
mpfr_add(rem->f, rem->f, tempy->f, MPFR_RNDN);
mpfr_sub_ui(quo->f, quo->f, 1, MPFR_RNDN);
}
}
else {
mpfr_copysign(rem->f, rem->f, tempy->f, MPFR_RNDN);
}
if (!mpfr_zero_p(quo->f)) {
mpfr_round(quo->f, quo->f);
}
else {
mpfr_setsign(quo->f, quo->f, mpfr_sgn(tempx->f) * mpfr_sgn(tempy->f) - 1, MPFR_RNDN);
}
GMPY_MPFR_CHECK_RANGE(quo, context);
GMPY_MPFR_CHECK_RANGE(rem, context);
GMPY_MPFR_SUBNORMALIZE(quo, context);
GMPY_MPFR_SUBNORMALIZE(rem, context);
okay:
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return (PyObject*)result;
}
/* LCOV_EXCL_START */
TYPE_ERROR("divmod() arguments not supported");
error:
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_XDECREF((PyObject*)rem);
Py_XDECREF((PyObject*)quo);
Py_XDECREF(result);
return NULL;
/* LCOV_EXCL_STOP */
}
static PyObject *
GMPy_Complex_DivModWithType(PyObject *x, int xtype, PyObject *y, int ytype,
CTXT_Object *context)
{
TYPE_ERROR("can't take floor or mod of complex number.");
return NULL;
}
static PyObject *
GMPy_Number_DivMod_Slot(PyObject *x, PyObject *y)
{
int xtype = GMPy_ObjectType(x);
int ytype = GMPy_ObjectType(y);
if (IS_TYPE_INTEGER(xtype) && IS_TYPE_INTEGER(ytype))
return GMPy_Integer_DivModWithType(x, xtype, y, ytype, NULL);
if (IS_TYPE_RATIONAL(xtype) && IS_TYPE_RATIONAL(ytype))
return GMPy_Rational_DivModWithType(x, xtype, y, ytype, NULL);
if (IS_TYPE_REAL(xtype) && IS_TYPE_REAL(ytype))
return GMPy_Real_DivModWithType(x, xtype, y, ytype, NULL);
if (IS_TYPE_COMPLEX(xtype) && IS_TYPE_COMPLEX(ytype))
return GMPy_Complex_DivModWithType(x, xtype, y, ytype, NULL);
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_Number_DivMod(PyObject *x, PyObject *y, CTXT_Object *context)
{
int xtype = GMPy_ObjectType(x);
int ytype = GMPy_ObjectType(y);
if (IS_TYPE_INTEGER(xtype) && IS_TYPE_INTEGER(ytype))
return GMPy_Integer_DivModWithType(x, xtype, y, ytype, NULL);
if (IS_TYPE_RATIONAL(xtype) && IS_TYPE_RATIONAL(ytype))
return GMPy_Rational_DivModWithType(x, xtype, y, ytype, NULL);
if (IS_TYPE_REAL(xtype) && IS_TYPE_REAL(ytype))
return GMPy_Real_DivModWithType(x, xtype, y, ytype, NULL);
if (IS_TYPE_COMPLEX(xtype) && IS_TYPE_COMPLEX(ytype))
return GMPy_Complex_DivModWithType(x, xtype, y, ytype, NULL);
TYPE_ERROR("divmod() argument type not supported");
return NULL;
}
PyDoc_STRVAR(GMPy_doc_context_divmod,
"context.div_mod(x, y) -> (quotient, remainder)\n\n"
"Return div_mod(x, y); uses alternate spelling to avoid naming conflicts.\n"
"Note: overflow, underflow, and inexact exceptions are not supported for\n"
"mpfr arguments to context.div_mod().");
static PyObject *
GMPy_Context_DivMod(PyObject *self, PyObject *args)
{
CTXT_Object *context = NULL;
if (PyTuple_GET_SIZE(args) != 2) {
TYPE_ERROR("div_mod() requires 2 arguments");
return NULL;
}
if (self && CTXT_Check(self)) {
context = (CTXT_Object*)self;
}
else {
CHECK_CONTEXT(context);
}
return GMPy_Number_DivMod(PyTuple_GET_ITEM(args, 0),
PyTuple_GET_ITEM(args, 1),
context);
}