static Py_hash_t
Pympq_hash(PympqObject *self)
{
#ifdef _PyHASH_MODULUS
Py_hash_t hash = 0;
mpz_t temp, temp1, mask;
if (self->hash_cache != -1)
return self->hash_cache;
mpz_inoc(temp);
mpz_inoc(temp1);
mpz_inoc(mask);
mpz_set_si(mask, 1);
mpz_mul_2exp(mask, mask, _PyHASH_BITS);
mpz_sub_ui(mask, mask, 1);
if (!mpz_invert(temp, mpq_denref(self->q), mask)) {
mpz_cloc(temp);
mpz_cloc(temp1);
mpz_cloc(mask);
hash = _PyHASH_INF;
if (mpz_sgn(mpq_numref(self->q))<0)
hash = -hash;
self->hash_cache = hash;
return hash;
}
mpz_set(temp1, mask);
mpz_sub_ui(temp1, temp1, 2);
mpz_powm(temp, mpq_denref(self->q), temp1, mask);
mpz_tdiv_r(temp1, mpq_numref(self->q), mask);
mpz_mul(temp, temp, temp1);
hash = (Py_hash_t)mpn_mod_1(temp->_mp_d, mpz_size(temp), _PyHASH_MODULUS);
if (mpz_sgn(mpq_numref(self->q))<0)
hash = -hash;
if (hash==-1) hash = -2;
mpz_cloc(temp);
mpz_cloc(temp1);
mpz_cloc(mask);
self->hash_cache = hash;
return hash;
#else
PyObject *temp;
if (self->hash_cache != -1)
return self->hash_cache;
if (!(temp = Pympq_To_PyFloat(self))) {
SYSTEM_ERROR("Could not convert 'mpq' to float.");
return -1;
}
self->hash_cache = PyObject_Hash(temp);
Py_DECREF(temp);
return self->hash_cache;
#endif
}
static PyObject *
GMPy_MPZ_Method_Round(PyObject *self, PyObject *args)
{
Py_ssize_t round_digits;
MPZ_Object *result;
mpz_t temp, rem;
if (PyTuple_GET_SIZE(args) == 0) {
Py_INCREF(self);
return self;
}
round_digits = ssize_t_From_Integer(PyTuple_GET_ITEM(args, 0));
if (round_digits == -1 && PyErr_Occurred()) {
TYPE_ERROR("__round__() requires 'int' argument");
return NULL;
}
if (round_digits >= 0) {
Py_INCREF(self);
return self;
}
round_digits = -round_digits;
if ((result = GMPy_MPZ_New(NULL))) {
if (round_digits >= mpz_sizeinbase(MPZ(self), 10)) {
mpz_set_ui(result->z, 0);
}
else {
mpz_inoc(temp);
mpz_inoc(rem);
mpz_ui_pow_ui(temp, 10, round_digits);
mpz_fdiv_qr(result->z, rem, MPZ(self), temp);
mpz_mul_2exp(rem, rem, 1);
if (mpz_cmp(rem, temp) > 0) {
mpz_add_ui(result->z, result->z, 1);
}
else if (mpz_cmp(rem, temp) == 0) {
if (mpz_odd_p(result->z)) {
mpz_add_ui(result->z, result->z, 1);
}
}
mpz_mul(result->z, result->z, temp);
mpz_cloc(rem);
mpz_cloc(temp);
}
}
return (PyObject*)result;
}
static PyObject *
GMPy_XMPZ_ISub_Slot(PyObject *self, PyObject *other)
{
if (PyIntOrLong_Check(other)) {
int error;
long temp = GMPy_Integer_AsLongAndError(other, &error);
if (!error) {
if (temp >= 0) {
mpz_sub_ui(MPZ(self), MPZ(self), temp);
}
else {
mpz_add_ui(MPZ(self), MPZ(self), -temp);
}
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_sub(MPZ(self), MPZ(self), tempz);
mpz_cloc(tempz);
}
Py_INCREF(self);
return self;
}
if (CHECK_MPZANY(other)) {
mpz_sub(MPZ(self), MPZ(self), MPZ(other));
Py_INCREF(self);
return self;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
Pyxmpz_inplace_sub(PyObject *a, PyObject *b)
{
mpz_t tempz;
mpir_si temp_si;
int overflow;
if (PyIntOrLong_Check(b)) {
temp_si = PyLong_AsSIAndOverflow(b, &overflow);
if (overflow) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, b);
mpz_sub(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), tempz);
mpz_cloc(tempz);
}
else if(temp_si >= 0) {
mpz_sub_ui(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), temp_si);
}
else {
mpz_add_ui(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), -temp_si);
}
Py_INCREF(a);
return a;
}
if (CHECK_MPZANY(b)) {
mpz_sub(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(b));
Py_INCREF(a);
return a;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_MPZ_IMul_Slot(PyObject *self, PyObject *other)
{
MPZ_Object *rz;
if (!(rz = GMPy_MPZ_New(NULL)))
return NULL;
if (CHECK_MPZANY(other)) {
mpz_mul(rz->z, MPZ(self), MPZ(other));
return (PyObject*)rz;
}
if (PyIntOrLong_Check(other)) {
int error;
long temp = GMPy_Integer_AsLongAndError(other, &error);
if (!error) {
mpz_mul_si(rz->z, MPZ(self), temp);
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_mul(rz->z, MPZ(self), tempz);
mpz_cloc(tempz);
}
return (PyObject*)rz;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_MPZ_IAdd_Slot(PyObject *self, PyObject *other)
{
MPZ_Object *result = NULL;
if (CHECK_MPZANY(other)) {
if ((result = GMPy_MPZ_New(NULL))) {
mpz_add(result->z, MPZ(self), MPZ(other));
}
return (PyObject*)result;
}
if (PyLong_CheckExact(other)) {
if ((result = GMPy_MPZ_New(NULL))) {
switch (Py_SIZE((PyLongObject*)other)) {
case -1:
mpz_sub_ui(result->z, MPZ(self), ((PyLongObject*)other)->ob_digit[0]);
return (PyObject*)result;
case 0:
case 1:
mpz_add_ui(result->z, MPZ(self), ((PyLongObject*)other)->ob_digit[0]);
return (PyObject*)result;
default:
break;
}
}
else {
return NULL;
}
}
if (PyIntOrLong_Check(other)) {
int error;
long temp = GMPy_Integer_AsLongAndError(other, &error);
if ((result = GMPy_MPZ_New(NULL))) {
if (!error) {
if (temp >= 0) {
mpz_add_ui(result->z, MPZ(self), temp);
}
else {
mpz_sub_ui(result->z, MPZ(self), -temp);
}
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_add(result->z, MPZ(self), tempz);
mpz_cloc(tempz);
}
}
return (PyObject*)result;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_MPZ_IFloorDiv_Slot(PyObject *self, PyObject *other)
{
MPZ_Object *rz;
if (!(rz = GMPy_MPZ_New(NULL)))
return NULL;
if (CHECK_MPZANY(other)) {
if (mpz_sgn(MPZ(other)) == 0) {
ZERO_ERROR("mpz division by zero");
return NULL;
}
mpz_fdiv_q(rz->z, MPZ(self), MPZ(other));
return (PyObject*)rz;
}
if (PyIntOrLong_Check(other)) {
int error;
long temp = GMPy_Integer_AsLongAndError(other, &error);
if (!error) {
if (temp == 0) {
ZERO_ERROR("mpz division by zero");
return NULL;
}
else if(temp > 0) {
mpz_fdiv_q_ui(rz->z, MPZ(self), temp);
}
else {
mpz_cdiv_q_ui(rz->z, MPZ(self), -temp);
mpz_neg(rz->z, rz->z);
}
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_fdiv_q(rz->z, MPZ(self), tempz);
mpz_cloc(tempz);
}
return (PyObject*)rz;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_Rational_Mod(PyObject *x, PyObject *y, CTXT_Object *context)
{
mpz_t tempz;
MPQ_Object *tempx, *tempy, *result;
CHECK_CONTEXT(context);
if (!(result = GMPy_MPQ_New(context)))
return NULL;
if (IS_RATIONAL(x) && IS_RATIONAL(y)) {
tempx = GMPy_MPQ_From_Number(x, context);
tempy = GMPy_MPQ_From_Number(y, context);
if (!tempx || !tempy) {
SYSTEM_ERROR("could not convert Rational to mpq");
goto error;
}
if (mpq_sgn(tempy->q) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
mpz_inoc(tempz);
mpq_div(result->q, tempx->q, tempy->q);
mpz_fdiv_q(tempz, mpq_numref(result->q), mpq_denref(result->q));
/* Need to calculate x - tempz * y. */
mpq_set_z(result->q, tempz);
mpq_mul(result->q, result->q, tempy->q);
mpq_sub(result->q, tempx->q, result->q);
mpz_cloc(tempz);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
return (PyObject*)result;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
error:
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
static XMPZ_Object *
GMPy_XMPZ_New(CTXT_Object *context)
{
XMPZ_Object *result;
if (in_gmpyxmpzcache) {
result = gmpyxmpzcache[--in_gmpyxmpzcache];
/* Py_INCREF does not set the debugging pointers, so need to use
* _Py_NewReference instead. */
_Py_NewReference((PyObject*)result);
}
else {
if (!(result = PyObject_New(XMPZ_Object, &XMPZ_Type)))
return NULL;
mpz_inoc(result->z);
}
return result;
}
static PyObject *
GMPy_XMPZ_IRem_Slot(PyObject *self, PyObject *other)
{
if (PyIntOrLong_Check(other)) {
int error;
long temp = GMPy_Integer_AsLongAndError(other, &error);
if (!error) {
if (temp > 0) {
mpz_fdiv_r_ui(MPZ(self), MPZ(self), temp);
}
else if (temp == 0) {
ZERO_ERROR("xmpz modulo by zero");
return NULL;
}
else {
mpz_cdiv_r_ui(MPZ(self), MPZ(self), -temp);
}
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_fdiv_r(MPZ(self), MPZ(self), tempz);
mpz_cloc(tempz);
}
Py_INCREF(self);
return self;
}
if (CHECK_MPZANY(other)) {
if(mpz_sgn(MPZ(other)) == 0) {
ZERO_ERROR("xmpz modulo by zero");
return NULL;
}
mpz_fdiv_r(MPZ(self), MPZ(self), MPZ(other));
Py_INCREF(self);
return self;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
Pyxmpz_inplace_floordiv(PyObject *a, PyObject *b)
{
mpz_t tempz;
mpir_si temp_si;
int overflow;
if (PyIntOrLong_Check(b)) {
temp_si = PyLong_AsSIAndOverflow(b, &overflow);
if (overflow) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, b);
mpz_fdiv_q(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), tempz);
mpz_cloc(tempz);
}
else if(temp_si == 0) {
ZERO_ERROR("xmpz division by zero");
return NULL;
}
else if(temp_si > 0) {
mpz_fdiv_q_ui(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), temp_si);
}
else {
mpz_cdiv_q_ui(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), -temp_si);
mpz_neg(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a));
}
Py_INCREF(a);
return a;
}
if (CHECK_MPZANY(b)) {
if (mpz_sgn(Pyxmpz_AS_MPZ(b)) == 0) {
ZERO_ERROR("xmpz division by zero");
return NULL;
}
mpz_fdiv_q(Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(a), Pyxmpz_AS_MPZ(b));
Py_INCREF(a);
return a;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyxmpzObject *
Pyxmpz_new(void)
{
PyxmpzObject *self;
TRACE("Entering Pyxmpz_new\n");
if (in_pyxmpzcache) {
TRACE("Pyxmpz_new is reusing an old object\n");
self = pyxmpzcache[--in_pyxmpzcache];
/* Py_INCREF does not set the debugging pointers, so need to use
* _Py_NewReference instead. */
_Py_NewReference((PyObject*)self);
}
else {
TRACE("Pyxmpz_new is creating a new object\n");
if (!(self = PyObject_New(PyxmpzObject, &Pyxmpz_Type)))
return NULL;
mpz_inoc(self->z);
}
return self;
}
static PyObject *
Pyxmpz_inplace_ior(PyObject *self, PyObject *other)
{
mpz_t tempz;
if(CHECK_MPZANY(other)) {
mpz_ior(Pyxmpz_AS_MPZ(self), Pyxmpz_AS_MPZ(self), Pyxmpz_AS_MPZ(other));
Py_INCREF(self);
return self;
}
if(PyIntOrLong_Check(other)) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_ior(Pyxmpz_AS_MPZ(self), Pyxmpz_AS_MPZ(self), tempz);
mpz_cloc(tempz);
Py_INCREF(self);
return self;
}
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_XMPZ_IXor_Slot(PyObject *self, PyObject *other)
{
mpz_t tempz;
if(CHECK_MPZANY(other)) {
mpz_xor(MPZ(self), MPZ(self), MPZ(other));
Py_INCREF(self);
return self;
}
if(PyIntOrLong_Check(other)) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, other);
mpz_xor(MPZ(self), MPZ(self), tempz);
mpz_cloc(tempz);
Py_INCREF(self);
return self;
}
Py_RETURN_NOTIMPLEMENTED;
}
static MPZ_Object *
GMPy_MPZ_New(CTXT_Object *context)
{
MPZ_Object *result;
if (in_gmpympzcache) {
result = gmpympzcache[--in_gmpympzcache];
/* Py_INCREF does not set the debugging pointers, so need to use
* _Py_NewReference instead. */
_Py_NewReference((PyObject*)result);
}
else {
if (!(result = PyObject_New(MPZ_Object, &MPZ_Type))) {
/* LCOV_EXCL_START */
return NULL;
/* LCOV_EXCL_STOP */
}
mpz_inoc(result->z);
}
result->hash_cache = -1;
return result;
}
static PyObject *
GMPy_Integer_Pow(PyObject *b, PyObject *e, PyObject *m, CTXT_Object *context)
{
MPZ_Object *result = NULL, *tempb = NULL, *tempe = NULL, *tempm = NULL;
int has_mod;
/* Try to parse the modulus value first. */
if (m == Py_None) {
has_mod = 0;
}
else {
has_mod = 1;
if (!IS_INTEGER(m)) {
Py_RETURN_NOTIMPLEMENTED;
}
else {
if (!(tempm = GMPy_MPZ_From_Integer(m, context))) {
goto err;
}
}
}
result = GMPy_MPZ_New(context);
tempb = GMPy_MPZ_From_Integer(b, context);
tempe = GMPy_MPZ_From_Integer(e, context);
if (!tempb || !tempe || !result) {
goto err;
}
if (!has_mod) {
/* When no modulo is present, the exponent must fit in unsigned long.
*/
unsigned long el;
if (mpz_sgn(tempe->z) < 0) {
VALUE_ERROR("pow() exponent cannot be negative");
goto err;
}
if (!mpz_fits_ulong_p(tempe->z)) {
VALUE_ERROR("pow() outrageous exponent");
goto err;
}
el = mpz_get_ui(tempe->z);
mpz_pow_ui(result->z, tempb->z, el);
}
else {
/* Modulo is present. */
int sign;
mpz_t mm, base, exp;
sign = mpz_sgn(tempm->z);
if (sign == 0) {
VALUE_ERROR("pow() 3rd argument cannot be 0");
goto err;
}
mpz_inoc(mm);
mpz_abs(mm, tempm->z);
/* A negative exponent is allowed if inverse exists. */
if (mpz_sgn(tempe->z) < 0) {
mpz_inoc(base);
mpz_inoc(exp);
if (!mpz_invert(base, tempb->z, mm)) {
VALUE_ERROR("pow() base not invertible");
mpz_cloc(base);
mpz_cloc(exp);
mpz_cloc(mm);
goto err;
}
else {
mpz_abs(exp, tempe->z);
}
mpz_powm(result->z, base, exp, mm);
mpz_cloc(base);
mpz_cloc(exp);
}
else {
mpz_powm(result->z, tempb->z, tempe->z, mm);
}
mpz_cloc(mm);
/* Python uses a rather peculiar convention for negative modulos
* If the modulo is negative, result should be in the interval
* m < r <= 0 .
*/
if ((sign < 0) && (mpz_sgn(MPZ(result)) > 0)) {
mpz_add(result->z, result->z, tempm->z);
}
}
Py_XDECREF((PyObject*)tempb);
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempm);
return (PyObject*)result;
err:
Py_XDECREF((PyObject*)tempb);
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempm);
Py_DECREF((PyObject*)result);
return NULL;
}
static PyObject *
GMPy_Complex_Pow(PyObject *base, PyObject *exp, PyObject *mod, CTXT_Object *context)
{
MPC_Object *tempb = NULL, *tempe = NULL, *result= NULL;
MPFR_Object *tempf = NULL;
MPZ_Object *tempz = NULL;
if (mod != Py_None) {
TYPE_ERROR("pow() 3rd argument not allowed unless all arguments are integers");
return NULL;
}
CHECK_CONTEXT(context);
result = GMPy_MPC_New(0, 0, context);
tempb = GMPy_MPC_From_Complex(base, 1, 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 = mpc_pow_si(result->c, tempb->c, temp_exp, GET_MPC_ROUND(context));
}
else {
mpz_t tempzz;
mpz_inoc(tempzz);
mpz_set_PyIntOrLong(tempzz, exp);
result->rc = mpc_pow_z(result->c, tempb->c, tempzz, GET_MPC_ROUND(context));
mpz_cloc(tempzz);
}
}
else if (IS_INTEGER(exp)) {
if (!(tempz = GMPy_MPZ_From_Integer(exp, context))) {
goto err;
}
result->rc = mpc_pow_z(result->c, tempb->c, tempz->z, GET_MPC_ROUND(context));
}
else if (IS_REAL(exp)) {
if (!(tempf = GMPy_MPFR_From_Real(exp, 1, context))) {
goto err;
}
result->rc = mpc_pow_fr(result->c, tempb->c, tempf->f, GET_MPC_ROUND(context));
}
else {
if (!(tempe = GMPy_MPC_From_Complex(exp, 1, 1, context))) {
goto err;
}
result->rc = mpc_pow(result->c, tempb->c, tempe->c, GET_MPC_ROUND(context));
}
GMPY_MPC_CLEANUP(result, context, "pow()");
Py_XDECREF((PyObject*)tempz);
Py_XDECREF((PyObject*)tempf);
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempb);
return (PyObject*)result;
err:
Py_XDECREF((PyObject*)result);
Py_XDECREF((PyObject*)tempz);
Py_XDECREF((PyObject*)tempf);
Py_XDECREF((PyObject*)tempe);
Py_XDECREF((PyObject*)tempb);
return NULL;
}
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_MPZ_unpack(PyObject *self, PyObject *args)
{
mp_bitcnt_t nbits, total_bits, guard_bit, extra_bits, temp_bits;
Py_ssize_t index = 0, lst_count, i, lst_ptr = 0;
PyObject *result;
mpz_t temp;
mp_limb_t extra = 0;
MPZ_Object *item, *tempx = NULL;
CTXT_Object *context = NULL;
if (PyTuple_GET_SIZE(args) != 2) {
TYPE_ERROR("unpack() requires 'int','int' arguments");
return NULL;
}
nbits = mp_bitcnt_t_From_Integer(PyTuple_GET_ITEM(args, 1));
if (nbits == -1 && PyErr_Occurred()) {
return NULL;
}
if (!(tempx = GMPy_MPZ_From_Integer(PyTuple_GET_ITEM(args, 0), context))) {
TYPE_ERROR("unpack() requires 'int','int' arguments");
return NULL;
}
if (mpz_sgn(tempx->z) < 0) {
VALUE_ERROR("unpack() requires x >= 0");
return NULL;
}
if (mpz_sgn(tempx->z) == 0) {
total_bits = 0;
}
else {
total_bits = mpz_sizeinbase(tempx->z, 2);
}
lst_count = total_bits / nbits;
if ((total_bits % nbits) || !lst_count) {
lst_count += 1;
}
if (!(result = PyList_New(lst_count))) {
Py_DECREF((PyObject*)tempx);
return NULL;
}
if (mpz_sgn(tempx->z) == 0) {
if (!(item = GMPy_MPZ_New(context))) {
Py_DECREF((PyObject*)tempx);
Py_DECREF(result);
return NULL;
}
mpz_set_ui(item->z, 0);
PyList_SET_ITEM(result, 0, (PyObject*)item);
Py_DECREF((PyObject*)tempx);
return result;
}
mpz_inoc(temp);
guard_bit = nbits + (2 * mp_bits_per_limb);
extra_bits = 0;
index = 0;
while (lst_ptr < lst_count) {
i = 0;
temp_bits = 0;
mpz_set_ui(temp, 0);
mpz_setbit(temp, guard_bit);
while (temp_bits + extra_bits < nbits) {
temp->_mp_d[i++] = mpz_getlimbn(tempx->z, index++);
temp_bits += mp_bits_per_limb;
}
mpz_clrbit(temp, guard_bit);
mpz_mul_2exp(temp, temp, extra_bits);
if (mpz_sgn(temp) == 0 && extra != 0) {
mpz_set_ui(temp, 1);
temp->_mp_d[0] = extra;
}
else {
mpn_add_1(temp->_mp_d, temp->_mp_d, mpz_size(temp), extra);
}
temp_bits += extra_bits;
while ((lst_ptr < lst_count) && (temp_bits >= nbits)) {
if(!(item = GMPy_MPZ_New(context))) {
mpz_cloc(temp);
Py_DECREF((PyObject*)tempx);
Py_DECREF(result);
return NULL;
}
mpz_tdiv_r_2exp(item->z, temp, nbits);
PyList_SET_ITEM(result, lst_ptr++, (PyObject*)item);
mpz_tdiv_q_2exp(temp, temp, nbits);
temp_bits -= nbits;
}
extra = mpz_getlimbn(temp, 0);
extra_bits = temp_bits;
}
Py_DECREF((PyObject*)tempx);
mpz_cloc(temp);
return result;
}
static PyObject *
GMPy_Real_Sub(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *result;
CHECK_CONTEXT(context);
if (!(result = GMPy_MPFR_New(0, context)))
return NULL;
/* This only processes mpfr if the exponent is still in-bounds. Need
* to handle the rare case at the end. */
if (MPFR_Check(x) && MPFR_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_sub(result->f, MPFR(x), MPFR(y), GET_MPFR_ROUND(context));
goto done;
}
if (MPFR_Check(x)) {
if (PyIntOrLong_Check(y)) {
int error;
long temp = GMPy_Integer_AsLongAndError(y, &error);
if (!error) {
mpfr_clear_flags();
result->rc = mpfr_sub_si(result->f, MPFR(x), temp, GET_MPFR_ROUND(context));
goto done;
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpfr_clear_flags();
result->rc = mpfr_sub_z(result->f, MPFR(x), tempz, GET_MPFR_ROUND(context));
mpz_cloc(tempz);
goto done;
}
}
if (CHECK_MPZANY(y)) {
mpfr_clear_flags();
result->rc = mpfr_sub_z(result->f, MPFR(x), MPZ(y), GET_MPFR_ROUND(context));
goto done;
}
if (IS_RATIONAL(y)) {
MPQ_Object *tempy;
if (!(tempy = GMPy_MPQ_From_Number(y, context))) {
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_sub_q(result->f, MPFR(x), tempy->q, GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempy);
goto done;
}
if (PyFloat_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_sub_d(result->f, MPFR(x), PyFloat_AS_DOUBLE(y), GET_MPFR_ROUND(context));
goto done;
}
}
if (MPFR_Check(y)) {
if (PyIntOrLong_Check(x)) {
int error;
long temp = GMPy_Integer_AsLongAndError(x, &error);
if (!error) {
mpfr_clear_flags();
result->rc = mpfr_sub_si(result->f, MPFR(y), temp, GET_MPFR_ROUND(context));
mpfr_neg(result->f, result->f, GET_MPFR_ROUND(context));
goto done;
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpfr_clear_flags();
result->rc = mpfr_sub_z(result->f, MPFR(y), tempz, GET_MPFR_ROUND(context));
mpfr_neg(result->f, result->f, GET_MPFR_ROUND(context));
mpz_cloc(tempz);
goto done;
}
}
if (CHECK_MPZANY(x)) {
mpfr_clear_flags();
result->rc = mpfr_sub_z(result->f, MPFR(y), MPZ(x), GET_MPFR_ROUND(context));
mpfr_neg(result->f, result->f, GET_MPFR_ROUND(context));
goto done;
}
if (IS_RATIONAL(x)) {
MPQ_Object *tempx;
if (!(tempx = GMPy_MPQ_From_Number(x, context))) {
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_sub_q(result->f, MPFR(y), tempx->q, GET_MPFR_ROUND(context));
mpfr_neg(result->f, result->f, GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempx);
goto done;
}
if (PyFloat_Check(x)) {
mpfr_clear_flags();
result->rc = mpfr_sub_d(result->f, MPFR(y), PyFloat_AS_DOUBLE(x), GET_MPFR_ROUND(context));
mpfr_neg(result->f, result->f, GET_MPFR_ROUND(context));
goto done;
}
}
if (IS_REAL(x) && IS_REAL(y)) {
MPFR_Object *tempx, *tempy;
tempx = GMPy_MPFR_From_Real(x, 1, context);
tempy = GMPy_MPFR_From_Real(y, 1, context);
if (!tempx || !tempy) {
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_sub(result->f, MPFR(tempx), MPFR(tempy), GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
goto done;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
done:
GMPY_MPFR_CLEANUP(result, context, "subtraction");
return (PyObject*)result;
}
static PyObject *
GMPy_Real_Add(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *result;
CHECK_CONTEXT(context);
if (!(result = GMPy_MPFR_New(0, context)))
return NULL;
if (MPFR_Check(x) && MPFR_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_add(result->f, MPFR(x), MPFR(y), GET_MPFR_ROUND(context));
goto done;
}
if (MPFR_Check(x)) {
if (PyIntOrLong_Check(y)) {
mpz_t tempz;
long temp;
int error;
temp = GMPy_Integer_AsLongAndError(y, &error);
if (error) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpfr_clear_flags();
result->rc = mpfr_add_z(result->f, MPFR(x), tempz, GET_MPFR_ROUND(context));
mpz_cloc(tempz);
goto done;
}
else {
mpfr_clear_flags();
result->rc = mpfr_add_si(result->f, MPFR(x), temp, GET_MPFR_ROUND(context));
goto done;
}
}
if (CHECK_MPZANY(y)) {
mpfr_clear_flags();
result->rc = mpfr_add_z(result->f, MPFR(x), MPZ(y), GET_MPFR_ROUND(context));
goto done;
}
if (IS_RATIONAL(y)) {
MPQ_Object *tempy;
if (!(tempy = GMPy_MPQ_From_Number(y, context))) {
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_add_q(result->f, MPFR(x), tempy->q, GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempy);
goto done;
}
if (PyFloat_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_add_d(result->f, MPFR(x), PyFloat_AS_DOUBLE(y), GET_MPFR_ROUND(context));
goto done;
}
}
if (MPFR_Check(y)) {
if (PyIntOrLong_Check(x)) {
mpz_t tempz;
long temp;
int error;
temp = GMPy_Integer_AsLongAndError(x, &error);
if (error) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpfr_clear_flags();
result->rc = mpfr_add_z(result->f, MPFR(y), tempz, GET_MPFR_ROUND(context));
mpz_cloc(tempz);
goto done;
}
else {
mpfr_clear_flags();
result->rc = mpfr_add_si(result->f, MPFR(y), temp, GET_MPFR_ROUND(context));
goto done;
}
}
if (CHECK_MPZANY(x)) {
mpfr_clear_flags();
result->rc = mpfr_add_z(result->f, MPFR(y), MPZ(x), GET_MPFR_ROUND(context));
goto done;
}
if (IS_RATIONAL(x)) {
MPQ_Object *tempx;
if (!(tempx = GMPy_MPQ_From_Number(x, context))) {
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_add_q(result->f, MPFR(y), tempx->q, GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempx);
goto done;
}
if (PyFloat_Check(x)) {
mpfr_clear_flags();
result->rc = mpfr_add_d(result->f, MPFR(y), PyFloat_AS_DOUBLE(x), GET_MPFR_ROUND(context));
goto done;
}
}
if (IS_REAL(x) && IS_REAL(y)) {
MPFR_Object *tempx, *tempy;
tempx = GMPy_MPFR_From_Real(x, 1, context);
tempy = GMPy_MPFR_From_Real(y, 1, context);
if (!tempx || !tempy) {
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
mpfr_clear_flags();
result->rc = mpfr_add(result->f, MPFR(tempx), MPFR(tempy), GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
goto done;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
done:
GMPY_MPFR_CLEANUP(result, context, "addition");
return (PyObject*)result;
}
static PyObject *
GMPy_Integer_DivMod(PyObject *x, PyObject *y, CTXT_Object *context)
{
PyObject *result;
MPZ_Object *tempx, *tempy, *rem, *quo;
mpz_t tempz;
long temp;
int error;
result = PyTuple_New(2);
rem = GMPy_MPZ_New(context);
quo = GMPy_MPZ_New(context);
if (!result || !rem || !quo) {
Py_XDECREF((PyObject*)rem);
Py_XDECREF((PyObject*)quo);
Py_XDECREF(result);
return NULL;
}
if (CHECK_MPZANY(x)) {
if (PyIntOrLong_Check(y)) {
temp = GMPy_Integer_AsLongAndError(y, &error);
if (error) {
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpz_fdiv_qr(quo->z, rem->z, MPZ(x), tempz);
mpz_cloc(tempz);
}
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");
Py_DECREF((PyObject*)rem);
Py_DECREF((PyObject*)quo);
Py_DECREF(result);
return NULL;
}
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 (CHECK_MPZANY(y)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
Py_DECREF((PyObject*)rem);
Py_DECREF((PyObject*)quo);
Py_DECREF(result);
return NULL;
}
mpz_fdiv_qr(quo->z, rem->z, MPZ(x), MPZ(y));
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
}
if (CHECK_MPZANY(y) && PyIntOrLong_Check(x)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
Py_DECREF((PyObject*)rem);
Py_DECREF((PyObject*)quo);
Py_DECREF(result);
return NULL;
}
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpz_fdiv_qr(quo->z, rem->z, tempz, MPZ(y));
mpz_cloc(tempz);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return (PyObject*)result;
}
if (IS_INTEGER(x) && IS_INTEGER(y)) {
tempx = GMPy_MPZ_From_Integer(x, context);
tempy = GMPy_MPZ_From_Integer(y, context);
if (!tempx || !tempy) {
SYSTEM_ERROR("could not convert Integer to mpz");
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)rem);
Py_DECREF((PyObject*)quo);
Py_DECREF(result);
return NULL;
}
if (mpz_sgn(tempy->z) == 0) {
ZERO_ERROR("division or modulo by zero");
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)rem);
Py_DECREF((PyObject*)quo);
Py_DECREF(result);
return NULL;
}
mpz_fdiv_qr(quo->z, rem->z, tempx->z, tempy->z);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_MPZ_pack(PyObject *self, PyObject *args)
{
mp_bitcnt_t nbits, total_bits, tempx_bits;
Py_ssize_t index, lst_count, i, temp_bits, limb_count;
PyObject *lst;
mpz_t temp;
MPZ_Object *result, *tempx = 0;
CTXT_Object *context = NULL;
if (PyTuple_GET_SIZE(args) != 2) {
TYPE_ERROR("pack() requires 'list','int' arguments");
return NULL;
}
nbits = mp_bitcnt_t_From_Integer(PyTuple_GET_ITEM(args, 1));
if (nbits == -1 && PyErr_Occurred()) {
return NULL;
}
if (!PyList_Check(PyTuple_GET_ITEM(args, 0))) {
TYPE_ERROR("pack() requires 'list','int' arguments");
return NULL;
}
if (!(result = GMPy_MPZ_New(context)))
return NULL;
lst = PyTuple_GET_ITEM(args, 0);
lst_count = PyList_GET_SIZE(lst);
total_bits = nbits * lst_count;
if ((total_bits / lst_count) != nbits) {
VALUE_ERROR("result too large to store in an 'mpz'");
return NULL;
}
mpz_set_ui(result->z, 0);
mpz_setbit(result->z, total_bits + (mp_bits_per_limb * 2));
mpz_inoc(temp);
mpz_set_ui(temp, 0);
limb_count = 0;
tempx_bits = 0;
for (index = 0; index < lst_count; index++) {
if (!(tempx = GMPy_MPZ_From_Integer(PyList_GetItem(lst, index), context))
|| (mpz_sgn(tempx->z) < 0)
|| (mpz_sizeinbase(tempx->z,2) > (size_t)nbits)) {
TYPE_ERROR("pack() requires list elements be positive integers < 2^n bits");
mpz_cloc(temp);
Py_XDECREF((PyObject*)tempx);
Py_DECREF((PyObject*)result);
return NULL;
}
mpz_mul_2exp(tempx->z, tempx->z, tempx_bits);
mpz_add(temp, temp, tempx->z);
tempx_bits += nbits;
i = 0;
temp_bits = mpz_sizeinbase(temp, 2) * mpz_sgn(temp);
while (tempx_bits >= mp_bits_per_limb) {
if (temp_bits > 0) {
result->z->_mp_d[limb_count] = mpz_getlimbn(temp, i);
}
i += 1;
tempx_bits -= mp_bits_per_limb;
limb_count += 1;
temp_bits -= mp_bits_per_limb;
}
if (temp_bits > 0) {
mpz_tdiv_q_2exp(temp, temp, mp_bits_per_limb * i);
}
else {
mpz_set_ui(temp, 0);
}
Py_DECREF((PyObject*)tempx);
}
result->z->_mp_d[limb_count] = mpz_getlimbn(temp, 0);
mpz_clrbit(result->z, total_bits + (mp_bits_per_limb * 2));
mpz_cloc(temp);
return (PyObject*)result;
}
static PyObject *
GMPY_mpz_lucasv_mod(PyObject *self, PyObject *args)
{
/* Adaptation of algorithm found in http://joye.site88.net/papers/JQ96lucas.pdf
* calculate v[k] (modulo n) of Lucas V sequence for p,q.
* Note: p^2-4q=0 is not tested, not a proper Lucas sequence!!
*/
PympzObject *result = 0, *p, *q, *k, *n;
size_t s = 0, j = 0;
mpz_t vl, vh, ql, qh, tmp;
if (PyTuple_Size(args) != 4) {
TYPE_ERROR("lucasv_mod() requires 4 integer arguments");
return NULL;
}
/* Take advantage of the cache of mpz_t objects maintained by GMPY2 to
* avoid memory allocations. */
mpz_inoc(vl);
mpz_inoc(vh);
mpz_inoc(ql);
mpz_inoc(qh);
mpz_inoc(tmp);
p = Pympz_From_Integer(PyTuple_GET_ITEM(args, 0));
q = Pympz_From_Integer(PyTuple_GET_ITEM(args, 1));
k = Pympz_From_Integer(PyTuple_GET_ITEM(args, 2));
n = Pympz_From_Integer(PyTuple_GET_ITEM(args, 3));
if (!p || !q || !k || !n) {
TYPE_ERROR("lucasv_mod() requires 4 integer arguments");
goto cleanup;
}
/* Check if p*p - 4*q == 0. */
mpz_mul(tmp, p->z, p->z);
mpz_mul_ui(qh, q->z, 4);
mpz_sub(tmp, tmp, qh);
if (mpz_sgn(tmp) == 0) {
VALUE_ERROR("invalid values for p,q in lucasv_mod()");
goto cleanup;
}
/* Check if k < 0. */
if (mpz_sgn(k->z) < 0) {
VALUE_ERROR("invalid value for k in lucasv_mod()");
goto cleanup;
}
/* Check if n > 0. */
if (mpz_sgn(n->z) <= 0) {
VALUE_ERROR("invalid value for n in lucasv_mod()");
goto cleanup;
}
mpz_set_si(vl, 2);
mpz_set(vh, p->z);
mpz_set_si(ql, 1);
mpz_set_si(qh, 1);
mpz_set_si(tmp,0);
s = mpz_scan1(k->z, 0);
for (j = mpz_sizeinbase(k->z,2)-1; j >= s+1; j--) {
/* ql = ql*qh (mod n) */
mpz_mul(ql, ql, qh);
mpz_mod(ql, ql, n->z);
if (mpz_tstbit(k->z,j) == 1) {
/* qh = ql*q */
mpz_mul(qh, ql, q->z);
/* vl = vh*vl - p*ql (mod n) */
mpz_mul(vl, vh, vl);
mpz_mul(tmp, ql, p->z);
mpz_sub(vl, vl, tmp);
mpz_mod(vl, vl, n->z);
/* vh = vh*vh - 2*qh (mod n) */
mpz_mul(vh, vh, vh);
mpz_mul_si(tmp, qh, 2);
mpz_sub(vh, vh, tmp);
mpz_mod(vh, vh, n->z);
}
else {
/* qh = ql */
mpz_set(qh, ql);
/* vh = vh*vl - p*ql (mod n) */
mpz_mul(vh, vh, vl);
mpz_mul(tmp, ql, p->z);
mpz_sub(vh, vh, tmp);
mpz_mod(vh, vh, n->z);
/* vl = vl*vl - 2*ql (mod n) */
mpz_mul(vl, vl, vl);
mpz_mul_si(tmp, ql, 2);
mpz_sub(vl, vl, tmp);
mpz_mod(vl, vl, n->z);
}
}
/* ql = ql*qh */
mpz_mul(ql, ql, qh);
/* qh = ql*q */
mpz_mul(qh, ql, q->z);
/* vl = vh*vl - p*ql */
mpz_mul(vl, vh, vl);
mpz_mul(tmp, ql, p->z);
mpz_sub(vl, vl, tmp);
/* ql = ql*qh */
mpz_mul(ql, ql, qh);
for (j = 1; j <= s; j++) {
/* vl = vl*vl - 2*ql (mod n) */
mpz_mul(vl, vl, vl);
mpz_mul_si(tmp, ql, 2);
mpz_sub(vl, vl, tmp);
mpz_mod(vl, vl, n->z);
/* ql = ql*ql (mod n) */
mpz_mul(ql, ql, ql);
mpz_mod(ql, ql, n->z);
}
if (!(result = (PympzObject*)Pympz_new()))
goto cleanup;
/* vl contains our return value */
mpz_mod(result->z, vl, n->z);
cleanup:
mpz_cloc(vl);
mpz_cloc(vh);
mpz_cloc(ql);
mpz_cloc(qh);
mpz_cloc(tmp);
Py_XDECREF((PyObject*)p);
Py_XDECREF((PyObject*)q);
Py_XDECREF((PyObject*)k);
Py_XDECREF((PyObject*)n);
return (PyObject*)result;
}
static PyObject *
GMPy_Integer_DivMod(PyObject *x, PyObject *y, CTXT_Object *context)
{
PyObject *result = NULL;
MPZ_Object *tempx = NULL, *tempy = NULL, *rem = NULL, *quo = NULL;
if (!(result = PyTuple_New(2)) ||
!(rem = GMPy_MPZ_New(context)) ||
!(quo = GMPy_MPZ_New(context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (CHECK_MPZANY(x)) {
if (PyIntOrLong_Check(y)) {
int error;
long temp = GMPy_Integer_AsLongAndError(y, &error);
if (error) {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpz_fdiv_qr(quo->z, rem->z, MPZ(x), tempz);
mpz_cloc(tempz);
}
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 (CHECK_MPZANY(y)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
mpz_fdiv_qr(quo->z, rem->z, MPZ(x), MPZ(y));
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return result;
}
}
if (CHECK_MPZANY(y) && PyIntOrLong_Check(x)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpz_fdiv_qr(quo->z, rem->z, tempz, MPZ(y));
mpz_cloc(tempz);
PyTuple_SET_ITEM(result, 0, (PyObject*)quo);
PyTuple_SET_ITEM(result, 1, (PyObject*)rem);
return (PyObject*)result;
}
}
if (IS_INTEGER(x) && IS_INTEGER(y)) {
if (!(tempx = GMPy_MPZ_From_Integer(x, context)) ||
!(tempy = GMPy_MPZ_From_Integer(y, context))) {
/* LCOV_EXCL_START */
goto error;
/* LCOV_EXCL_STOP */
}
if (mpz_sgn(tempy->z) == 0) {
ZERO_ERROR("division or modulo by zero");
goto error;
}
mpz_fdiv_qr(quo->z, rem->z, tempx->z, tempy->z);
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 */
SYSTEM_ERROR("Internal error in GMPy_Integer_DivMod().");
/* 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_MPZ_Function_Divm(PyObject *self, PyObject *args)
{
MPZ_Object *result = NULL, *num = NULL, *den = NULL, *mod = NULL;
mpz_t numz, denz, modz, gcdz;
int ok = 0;
if (PyTuple_GET_SIZE(args) != 3) {
TYPE_ERROR("divm() requires 'mpz','mpz','mpz' arguments");
return NULL;
}
if (!(result = GMPy_MPZ_New(NULL))) {
/* LCOV_EXCL_START */
return NULL;
/* LCOV_EXCL_STOP */
}
if (!(num = GMPy_MPZ_From_Integer(PyTuple_GET_ITEM(args, 0), NULL)) ||
!(den = GMPy_MPZ_From_Integer(PyTuple_GET_ITEM(args, 1), NULL)) ||
!(mod = GMPy_MPZ_From_Integer(PyTuple_GET_ITEM(args, 2), NULL))) {
TYPE_ERROR("divm() requires 'mpz','mpz','mpz' arguments");
Py_XDECREF((PyObject*)num);
Py_XDECREF((PyObject*)den);
Py_XDECREF((PyObject*)mod);
Py_DECREF((PyObject*)result);
return NULL;
}
/* Make copies so we don't destroy the input. */
mpz_inoc(numz);
mpz_inoc(denz);
mpz_inoc(modz);
mpz_set(numz, num->z);
mpz_set(denz, den->z);
mpz_set(modz, mod->z);
Py_DECREF((PyObject*)num);
Py_DECREF((PyObject*)den);
Py_DECREF((PyObject*)mod);
if (mpz_invert(result->z, denz, modz)) { /* inverse exists */
ok = 1;
}
else {
/* last-ditch attempt: do num, den AND mod have a gcd>1 ? */
mpz_inoc(gcdz);
mpz_gcd(gcdz, numz, denz);
mpz_gcd(gcdz, gcdz, modz);
mpz_divexact(numz, numz, gcdz);
mpz_divexact(denz, denz, gcdz);
mpz_divexact(modz, modz, gcdz);
mpz_cloc(gcdz);
ok = mpz_invert(result->z, denz, modz);
}
if (ok) {
mpz_mul(result->z, result->z, numz);
mpz_mod(result->z, result->z, modz);
mpz_cloc(numz);
mpz_cloc(denz);
mpz_cloc(modz);
return (PyObject*)result;
}
else {
ZERO_ERROR("not invertible");
mpz_cloc(numz);
mpz_cloc(denz);
mpz_cloc(modz);
Py_DECREF((PyObject*)result);
return NULL;
}
}
static PyObject *
GMPy_Integer_Mod(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPZ_Object *result;
CHECK_CONTEXT(context);
if (!(result = GMPy_MPZ_New(context)))
return NULL;
if (CHECK_MPZANY(x)) {
if (PyIntOrLong_Check(y)) {
int error;
long temp = GMPy_Integer_AsLongAndError(y, &error);
if (!error) {
if (temp > 0) {
mpz_fdiv_r_ui(result->z, MPZ(x), temp);
}
else if (temp == 0) {
ZERO_ERROR("division or modulo by zero");
Py_DECREF((PyObject*)result);
return NULL;
}
else {
mpz_cdiv_r_ui(result->z, MPZ(x), -temp);
}
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpz_fdiv_r(result->z, MPZ(x), tempz);
mpz_cloc(tempz);
}
return (PyObject*)result;
}
if (CHECK_MPZANY(y)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
Py_DECREF((PyObject*)result);
return NULL;
}
mpz_fdiv_r(result->z, MPZ(x), MPZ(y));
return (PyObject*)result;
}
}
if (CHECK_MPZANY(y)) {
if (mpz_sgn(MPZ(y)) == 0) {
ZERO_ERROR("division or modulo by zero");
Py_DECREF((PyObject*)result);
return NULL;
}
if (PyIntOrLong_Check(x)) {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpz_fdiv_r(result->z, tempz, MPZ(y));
mpz_cloc(tempz);
return (PyObject*)result;
}
}
if (IS_INTEGER(x) && IS_INTEGER(y)) {
MPZ_Object *tempx, *tempy;
tempx = GMPy_MPZ_From_Integer(x, context);
tempy = GMPy_MPZ_From_Integer(y, context);
if (!tempx || !tempy) {
SYSTEM_ERROR("could not convert Integer to mpz");
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
if (mpz_sgn(tempy->z) == 0) {
ZERO_ERROR("division or modulo by zero");
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
mpz_fdiv_r(result->z, tempx->z, tempy->z);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
return (PyObject*)result;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_Real_Mul(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPFR_Object *result = NULL;
CHECK_CONTEXT(context);
if (!(result = GMPy_MPFR_New(0, context))) {
/* LCOV_EXCL_START */
return NULL;
/* LCOV_EXCL_STOP */
}
if (MPFR_Check(x) && MPFR_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_mul(result->f, MPFR(x), MPFR(y), GET_MPFR_ROUND(context));
goto done;
}
if (MPFR_Check(x)) {
if (PyIntOrLong_Check(y)) {
int error;
long temp = GMPy_Integer_AsLongAndError(y, &error);
if (!error) {
mpfr_clear_flags();
result->rc = mpfr_mul_si(result->f, MPFR(x), temp, GET_MPFR_ROUND(context));
goto done;
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpfr_clear_flags();
result->rc = mpfr_mul_z(result->f, MPFR(x), tempz, GET_MPFR_ROUND(context));
mpz_cloc(tempz);
goto done;
}
}
if (CHECK_MPZANY(y)) {
mpfr_clear_flags();
result->rc = mpfr_mul_z(result->f, MPFR(x), MPZ(y), GET_MPFR_ROUND(context));
goto done;
}
if (IS_RATIONAL(y)) {
MPQ_Object *tempy = NULL;
if (!(tempy = GMPy_MPQ_From_Number(y, context))) {
/* LCOV_EXCL_START */
Py_DECREF((PyObject*)result);
return NULL;
/* LCOV_EXCL_STOP */
}
mpfr_clear_flags();
result->rc = mpfr_mul_q(result->f, MPFR(x), tempy->q, GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempy);
goto done;
}
if (PyFloat_Check(y)) {
mpfr_clear_flags();
result->rc = mpfr_mul_d(result->f, MPFR(x), PyFloat_AS_DOUBLE(y), GET_MPFR_ROUND(context));
goto done;
}
}
if (MPFR_Check(y)) {
if (PyIntOrLong_Check(x)) {
int error;
long temp = GMPy_Integer_AsLongAndError(x, &error);
if (!error) {
mpfr_clear_flags();
result->rc = mpfr_mul_si(result->f, MPFR(y), temp, GET_MPFR_ROUND(context));
goto done;
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpfr_clear_flags();
result->rc = mpfr_mul_z(result->f, MPFR(y), tempz, GET_MPFR_ROUND(context));
mpz_cloc(tempz);
goto done;
}
}
if (CHECK_MPZANY(x)) {
mpfr_clear_flags();
result->rc = mpfr_mul_z(result->f, MPFR(y), MPZ(x), GET_MPFR_ROUND(context));
goto done;
}
if (IS_RATIONAL(x)) {
MPQ_Object *tempx = NULL;
if (!(tempx = GMPy_MPQ_From_Number(x, context))) {
/* LCOV_EXCL_START */
Py_DECREF((PyObject*)result);
return NULL;
/* LCOV_EXCL_STOP */
}
mpfr_clear_flags();
result->rc = mpfr_mul_q(result->f, MPFR(y), tempx->q, GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempx);
goto done;
}
if (PyFloat_Check(x)) {
mpfr_clear_flags();
result->rc = mpfr_mul_d(result->f, MPFR(y), PyFloat_AS_DOUBLE(x), GET_MPFR_ROUND(context));
goto done;
}
}
if (IS_REAL(x) && IS_REAL(y)) {
MPFR_Object *tempx = NULL, *tempy = NULL;
if (!(tempx = GMPy_MPFR_From_Real(x, 1, context)) ||
!(tempy = GMPy_MPFR_From_Real(y, 1, context))) {
/* LCOV_EXCL_START */
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
/* LCOV_EXCL_STOP */
}
mpfr_clear_flags();
result->rc = mpfr_mul(result->f, MPFR(tempx), MPFR(tempy), GET_MPFR_ROUND(context));
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
goto done;
}
/* LCOV_EXCL_START */
Py_DECREF((PyObject*)result);
SYSTEM_ERROR("Internal error in GMPy_Real_Mul().");
return NULL;
/* LCOV_EXCL_STOP */
done:
_GMPy_MPFR_Cleanup(&result, context);
return (PyObject*)result;
}
static PyObject *
GMPy_Integer_Add(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPZ_Object *result;
if (!(result = GMPy_MPZ_New(context)))
return NULL;
if (CHECK_MPZANY(x)) {
if (PyIntOrLong_Check(y)) {
int error;
long temp = GMPy_Integer_AsLongAndError(y, &error);
if (!error) {
if (temp >= 0) {
mpz_add_ui(result->z, MPZ(x), temp);
}
else {
mpz_sub_ui(result->z, MPZ(x), -temp);
}
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpz_add(result->z, MPZ(x), tempz);
mpz_cloc(tempz);
}
return (PyObject*)result;
}
if (CHECK_MPZANY(y)) {
mpz_add(result->z, MPZ(x), MPZ(y));
return (PyObject*)result;
}
}
if (CHECK_MPZANY(y)) {
if (PyIntOrLong_Check(x)) {
int error;
long temp = GMPy_Integer_AsLongAndError(x, &error);
if (!error) {
if (temp >= 0) {
mpz_add_ui(result->z, MPZ(y), temp);
}
else {
mpz_sub_ui(result->z, MPZ(y), -temp);
}
return (PyObject*)result;
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpz_add(result->z, MPZ(y), tempz);
mpz_cloc(tempz);
return (PyObject*)result;
}
}
}
if (IS_INTEGER(x) && IS_INTEGER(y)) {
MPZ_Object *tempx, *tempy;
tempx = GMPy_MPZ_From_Integer(x, context);
tempy = GMPy_MPZ_From_Integer(y, context);
if (!tempx || !tempy) {
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
}
mpz_add(result->z, tempx->z, tempy->z);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
return (PyObject*)result;
}
Py_DECREF((PyObject*)result);
Py_RETURN_NOTIMPLEMENTED;
}
static PyObject *
GMPy_Integer_Mul(PyObject *x, PyObject *y, CTXT_Object *context)
{
MPZ_Object *result = NULL;
if (!(result = GMPy_MPZ_New(context))) {
/* LCOV_EXCL_START */
return NULL;
/* LCOV_EXCL_STOP */
}
if (MPZ_Check(x)) {
if (PyIntOrLong_Check(y)) {
int error;
long temp = GMPy_Integer_AsLongAndError(y, &error);
if (!error) {
mpz_mul_si(result->z, MPZ(x), temp);
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, y);
mpz_mul(result->z, MPZ(x), tempz);
mpz_cloc(tempz);
}
return (PyObject*)result;
}
if (MPZ_Check(y)) {
mpz_mul(result->z, MPZ(x), MPZ(y));
return (PyObject*)result;
}
}
if (MPZ_Check(y)) {
if (PyIntOrLong_Check(x)) {
int error;
long temp = GMPy_Integer_AsLongAndError(x, &error);
if (!error) {
mpz_mul_si(result->z, MPZ(y), temp);
}
else {
mpz_t tempz;
mpz_inoc(tempz);
mpz_set_PyIntOrLong(tempz, x);
mpz_mul(result->z, MPZ(y), tempz);
mpz_cloc(tempz);
}
return (PyObject*)result;
}
}
if (IS_INTEGER(x) && IS_INTEGER(y)) {
MPZ_Object *tempx = NULL, *tempy = NULL;
if (!(tempx = GMPy_MPZ_From_Integer(x, context)) ||
!(tempy = GMPy_MPZ_From_Integer(y, context))) {
/* LCOV_EXCL_START */
Py_XDECREF((PyObject*)tempx);
Py_XDECREF((PyObject*)tempy);
Py_DECREF((PyObject*)result);
return NULL;
/* LCOV_EXCL_STOP */
}
mpz_mul(result->z, tempx->z, tempy->z);
Py_DECREF((PyObject*)tempx);
Py_DECREF((PyObject*)tempy);
return (PyObject*)result;
}
/* LCOV_EXCL_START */
SYSTEM_ERROR("Internal error in GMPy_Integer_Mul().");
Py_DECREF((PyObject*)result);
return NULL;
/* LCOV_EXCL_STOP */
}