static PyObject *
GMPy_Real_Mod(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *tempx = NULL, *tempy = NULL, *temp, *result;
CHECK_CONTEXT(context);
result = GMPy_MPFR_New(0, context);
temp = GMPy_MPFR_New(0, context);
if (!result || !temp) {
Py_XDECREF((PyObject*)result);
Py_XDECREF((PyObject*)temp);
return NULL;
}
if (IS_REAL(x) && IS_REAL(y)) {
tempx = GMPy_MPFR_From_Real(x, 1, context);
tempy = GMPy_MPFR_From_Real(y, 1, context);
if (!tempx || !tempy) {
SYSTEM_ERROR("could not convert Real to mpfr");
goto error;
}
if (mpfr_zero_p(tempy->f)) {
context->ctx.divzero = 1;
if (context->ctx.traps & TRAP_DIVZERO) {
GMPY_DIVZERO("mod() modulo by zero");
goto error;
}
}
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("mod() invalid operation");
goto error;
}
else {
mpfr_set_nan(result->f);
}
}
else if (mpfr_inf_p(tempy->f)) {
context->ctx.invalid = 1;
if (context->ctx.traps & TRAP_INVALID) {
GMPY_INVALID("mod() invalid operation");
goto error;
}
if (mpfr_signbit(tempy->f)) {
mpfr_set_inf(result->f, -1);
}
else {
result->rc = mpfr_set(result->f, tempx->f,
GET_MPFR_ROUND(context));
}
}
else {
mpfr_fmod(result->f, tempx->f, tempy->f, GET_MPFR_ROUND(context));
if (!mpfr_zero_p(result->f)) {
if ((mpfr_sgn(tempy->f) < 0) != (mpfr_sgn(result->f) < 0)) {
mpfr_add(result->f, result->f, tempy->f, GET_MPFR_ROUND(context));
}
}
else {
mpfr_copysign(result->f, result->f, tempy->f, GET_MPFR_ROUND(context));
}
Py_DECREF((PyObject*)temp);
}
GMPY_MPFR_CHECK_RANGE(result, context);
GMPY_MPFR_SUBNORMALIZE(result, context);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
return (PyObject*)result;
}
Py_DECREF((PyObject*)temp);
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
error:
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)temp);
Py_DECREF((PyObject*)result);
return NULL;
}
static PyObject *
GMPy_Real_DivMod_2(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *tempx = NULL, *tempy = NULL, *quo = NULL, *rem = NULL;
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_REAL(x) && IS_REAL(y)) {
if (!(tempx = GMPy_MPFR_From_Real(x, 1, context)) ||
!(tempy = GMPy_MPFR_From_Real(y, 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;
}
}
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;
}
else {
mpfr_set_nan(quo->f);
mpfr_set_nan(rem->f);
}
}
else 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);
}
}
else {
MPQ_Object *mpqx = NULL, *mpqy = NULL, *temp_rem = NULL;
MPZ_Object *temp_quo = NULL;
if (!(mpqx = GMPy_MPQ_From_MPFR(tempx, context)) ||
!(mpqy = GMPy_MPQ_From_MPFR(tempy, context))) {
/* LCOV_EXCL_START */
Py_XDECREF((PyObject*)mpqx);
Py_XDECREF((PyObject*)mpqy);
goto error;
/* LCOV_EXCL_STOP */
}
if (!(temp_rem = GMPy_MPQ_New(context)) ||
!(temp_quo = GMPy_MPZ_New(context))) {
/* LCOV_EXCL_START */
Py_XDECREF((PyObject*)temp_rem);
Py_XDECREF((PyObject*)temp_quo);
Py_XDECREF((PyObject*)mpqx);
Py_XDECREF((PyObject*)mpqy);
goto error;
/* LCOV_EXCL_STOP */
}
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
mpq_div(temp_rem->q, mpqx->q, mpqy->q);
mpz_fdiv_q(temp_quo->z, mpq_numref(temp_rem->q), mpq_denref(temp_rem->q));
/* Need to calculate x - quo * y. */
mpq_set_z(temp_rem->q, temp_quo->z);
mpq_mul(temp_rem->q, temp_rem->q, mpqy->q);
mpq_sub(temp_rem->q, mpqx->q, temp_rem->q);
Py_DECREF((PyObject*)mpqx);
Py_DECREF((PyObject*)mpqy);
quo->rc = mpfr_set_z(quo->f, temp_quo->z, MPFR_RNDD);
rem->rc = mpfr_set_q(rem->f, temp_rem->q, MPFR_RNDN);
Py_DECREF((PyObject*)temp_rem);
Py_DECREF((PyObject*)temp_quo);
GMPY_MPFR_CHECK_RANGE(quo, context);
GMPY_MPFR_CHECK_RANGE(rem, context);
GMPY_MPFR_SUBNORMALIZE(quo, context);
GMPY_MPFR_SUBNORMALIZE(rem, context);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
}
/* LCOV_EXCL_START */
SYSTEM_ERROR("Internal error in GMPy_Real_DivMod_2().");
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_Pow(PyObject *base, PyObject *exp, PyObject *mod, CTXT_Object *context)
{
MPFR_Object *tempb = NULL, *tempe = NULL, *result = NULL;
MPZ_Object *tempz = NULL;
MPC_Object *mpc_result = NULL;
if (mod != Py_None) {
TYPE_ERROR("pow() 3rd argument not allowed unless all arguments are integers");
return NULL;
}
CHECK_CONTEXT(context);
result = GMPy_MPFR_New(0, context);
tempb = GMPy_MPFR_From_Real(base, 1, context);
if (!result || !tempb) {
goto err;
}
mpfr_clear_flags();
if (PyIntOrLong_Check(exp)) {
int error;
long temp_exp = GMPy_Integer_AsLongAndError(exp, &error);
if (!error) {
result->rc = mpfr_pow_si(result->f, tempb->f, temp_exp, GET_MPFR_ROUND(context));
}
else {
mpz_t tempzz;
mpz_inoc(tempzz);
mpz_set_PyIntOrLong(tempzz, exp);
result->rc = mpfr_pow_z(result->f, tempb->f, tempzz, GET_MPFR_ROUND(context));
mpz_cloc(tempzz);
}
}
else if (IS_INTEGER(exp)) {
if (!(tempz = GMPy_MPZ_From_Integer(exp, context))) {
goto err;
}
result->rc = mpfr_pow_z(result->f, tempb->f, tempz->z, GET_MPFR_ROUND(context));
}
else {
if (!(tempe = GMPy_MPFR_From_Real(exp, 1, context))) {
goto err;
}
result->rc = mpfr_pow(result->f, tempb->f, tempe->f, GET_MPFR_ROUND(context));
}
/* If the result is NaN, check if a complex result works. */
if (result && mpfr_nanflag_p() && context->ctx.allow_complex) {
mpc_result = (MPC_Object*)GMPy_Complex_Pow(base, exp, Py_None, context);
if (!mpc_result || MPC_IS_NAN_P(mpc_result)) {
Py_XDECREF((PyObject*)mpc_result);
context->ctx.invalid = 1;
GMPY_INVALID("pow() invalid operation");
goto err;
}
/* return a valid complex result */
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempz);
Py_XDECREF((PyObject*)tempb);
Py_XDECREF((PyObject*)result);
return (PyObject*)mpc_result;
}
GMPY_MPFR_CLEANUP(result, context, "pow()");
Py_XDECREF((PyObject*)tempz);
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempb);
return (PyObject*)result;
err:
Py_XDECREF((PyObject*)result);
Py_XDECREF((PyObject*)tempz);
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempb);
return NULL;
}
static PyObject *
GMPy_Real_DivMod_1(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *tempx = NULL, *tempy = NULL, *quo = NULL, *rem = NULL;
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_REAL(x) && IS_REAL(y)) {
if (!(tempx = GMPy_MPFR_From_Real(x, 1, context)) ||
!(tempy = GMPy_MPFR_From_Real(y, 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;
}
}
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;
}
else {
mpfr_set_nan(quo->f);
mpfr_set_nan(rem->f);
}
}
else 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);
}
}
else {
MPFR_Object *temp;
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);
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);
}
Py_DECREF((PyObject*)temp);
}
GMPY_MPFR_CHECK_RANGE(quo, context);
GMPY_MPFR_CHECK_RANGE(rem, context);
GMPY_MPFR_SUBNORMALIZE(quo, context);
GMPY_MPFR_SUBNORMALIZE(rem, context);
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 */
SYSTEM_ERROR("Internal error in GMPy_Real_DivMod_1().");
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 */
}