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micropython/py/objint_mpz.c

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/*
* This file is part of the MicroPython project, http://micropython.org/
*
* The MIT License (MIT)
*
* Copyright (c) 2013, 2014 Damien P. George
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
#include <string.h>
#include <stdio.h>
#include <assert.h>
#include "py/parsenumbase.h"
#include "py/smallint.h"
#include "py/objint.h"
#include "py/runtime.h"
#if MICROPY_PY_BUILTINS_FLOAT
#include <math.h>
#endif
#if MICROPY_LONGINT_IMPL == MICROPY_LONGINT_IMPL_MPZ
#if MICROPY_PY_SYS_MAXSIZE
// Export value for sys.maxsize
#define DIG_MASK ((MPZ_LONG_1 << MPZ_DIG_SIZE) - 1)
STATIC const mpz_dig_t maxsize_dig[] = {
#define NUM_DIG 1
(MP_SSIZE_MAX >> MPZ_DIG_SIZE * 0) & DIG_MASK,
#if (MP_SSIZE_MAX >> MPZ_DIG_SIZE * 0) > DIG_MASK
#undef NUM_DIG
#define NUM_DIG 2
(MP_SSIZE_MAX >> MPZ_DIG_SIZE * 1) & DIG_MASK,
#if (MP_SSIZE_MAX >> MPZ_DIG_SIZE * 1) > DIG_MASK
#undef NUM_DIG
#define NUM_DIG 3
(MP_SSIZE_MAX >> MPZ_DIG_SIZE * 2) & DIG_MASK,
#if (MP_SSIZE_MAX >> MPZ_DIG_SIZE * 2) > DIG_MASK
#undef NUM_DIG
#define NUM_DIG 4
(MP_SSIZE_MAX >> MPZ_DIG_SIZE * 3) & DIG_MASK,
#if (MP_SSIZE_MAX >> MPZ_DIG_SIZE * 3) > DIG_MASK
#error cannot encode MP_SSIZE_MAX as mpz
#endif
#endif
#endif
#endif
};
const mp_obj_int_t mp_maxsize_obj = {
{&mp_type_int},
{.fixed_dig = 1, .len = NUM_DIG, .alloc = NUM_DIG, .dig = (mpz_dig_t*)maxsize_dig}
};
#undef DIG_MASK
#undef NUM_DIG
#endif
mp_obj_int_t *mp_obj_int_new_mpz(void) {
mp_obj_int_t *o = m_new_obj(mp_obj_int_t);
o->base.type = &mp_type_int;
mpz_init_zero(&o->mpz);
return o;
}
// This routine expects you to pass in a buffer and size (in *buf and buf_size).
// If, for some reason, this buffer is too small, then it will allocate a
// buffer and return the allocated buffer and size in *buf and *buf_size. It
// is the callers responsibility to free this allocated buffer.
//
// The resulting formatted string will be returned from this function and the
// formatted size will be in *fmt_size.
//
// This particular routine should only be called for the mpz representation of the int.
char *mp_obj_int_formatted_impl(char **buf, size_t *buf_size, size_t *fmt_size, mp_const_obj_t self_in,
int base, const char *prefix, char base_char, char comma) {
assert(MP_OBJ_IS_TYPE(self_in, &mp_type_int));
const mp_obj_int_t *self = MP_OBJ_TO_PTR(self_in);
size_t needed_size = mp_int_format_size(mpz_max_num_bits(&self->mpz), base, prefix, comma);
if (needed_size > *buf_size) {
*buf = m_new(char, needed_size);
*buf_size = needed_size;
}
char *str = *buf;
*fmt_size = mpz_as_str_inpl(&self->mpz, base, prefix, base_char, comma, str);
return str;
}
mp_obj_t mp_obj_int_from_bytes_impl(bool big_endian, size_t len, const byte *buf) {
mp_obj_int_t *o = mp_obj_int_new_mpz();
mpz_set_from_bytes(&o->mpz, big_endian, len, buf);
return MP_OBJ_FROM_PTR(o);
}
void mp_obj_int_to_bytes_impl(mp_obj_t self_in, bool big_endian, size_t len, byte *buf) {
assert(MP_OBJ_IS_TYPE(self_in, &mp_type_int));
mp_obj_int_t *self = MP_OBJ_TO_PTR(self_in);
memset(buf, 0, len);
mpz_as_bytes(&self->mpz, big_endian, len, buf);
}
int mp_obj_int_sign(mp_obj_t self_in) {
if (MP_OBJ_IS_SMALL_INT(self_in)) {
mp_int_t val = MP_OBJ_SMALL_INT_VALUE(self_in);
if (val < 0) {
return -1;
} else if (val > 0) {
return 1;
} else {
return 0;
}
}
mp_obj_int_t *self = MP_OBJ_TO_PTR(self_in);
if (self->mpz.len == 0) {
return 0;
} else if (self->mpz.neg == 0) {
return 1;
} else {
return -1;
}
}
mp_obj_t mp_obj_int_unary_op(mp_unary_op_t op, mp_obj_t o_in) {
mp_obj_int_t *o = MP_OBJ_TO_PTR(o_in);
switch (op) {
case MP_UNARY_OP_BOOL: return mp_obj_new_bool(!mpz_is_zero(&o->mpz));
case MP_UNARY_OP_HASH: return MP_OBJ_NEW_SMALL_INT(mpz_hash(&o->mpz));
case MP_UNARY_OP_POSITIVE: return o_in;
case MP_UNARY_OP_NEGATIVE: { mp_obj_int_t *o2 = mp_obj_int_new_mpz(); mpz_neg_inpl(&o2->mpz, &o->mpz); return MP_OBJ_FROM_PTR(o2); }
case MP_UNARY_OP_INVERT: { mp_obj_int_t *o2 = mp_obj_int_new_mpz(); mpz_not_inpl(&o2->mpz, &o->mpz); return MP_OBJ_FROM_PTR(o2); }
case MP_UNARY_OP_ABS: {
mp_obj_int_t *self = MP_OBJ_TO_PTR(o_in);
if (self->mpz.neg == 0) {
return o_in;
}
mp_obj_int_t *self2 = mp_obj_int_new_mpz();
mpz_abs_inpl(&self2->mpz, &self->mpz);
return MP_OBJ_FROM_PTR(self2);
}
default: return MP_OBJ_NULL; // op not supported
}
}
mp_obj_t mp_obj_int_binary_op(mp_binary_op_t op, mp_obj_t lhs_in, mp_obj_t rhs_in) {
const mpz_t *zlhs;
const mpz_t *zrhs;
mpz_t z_int;
mpz_dig_t z_int_dig[MPZ_NUM_DIG_FOR_INT];
// lhs could be a small int (eg small-int + mpz)
if (MP_OBJ_IS_SMALL_INT(lhs_in)) {
mpz_init_fixed_from_int(&z_int, z_int_dig, MPZ_NUM_DIG_FOR_INT, MP_OBJ_SMALL_INT_VALUE(lhs_in));
zlhs = &z_int;
} else {
assert(MP_OBJ_IS_TYPE(lhs_in, &mp_type_int));
zlhs = &((mp_obj_int_t*)MP_OBJ_TO_PTR(lhs_in))->mpz;
}
// if rhs is small int, then lhs was not (otherwise mp_binary_op handles it)
if (MP_OBJ_IS_SMALL_INT(rhs_in)) {
mpz_init_fixed_from_int(&z_int, z_int_dig, MPZ_NUM_DIG_FOR_INT, MP_OBJ_SMALL_INT_VALUE(rhs_in));
zrhs = &z_int;
} else if (MP_OBJ_IS_TYPE(rhs_in, &mp_type_int)) {
zrhs = &((mp_obj_int_t*)MP_OBJ_TO_PTR(rhs_in))->mpz;
#if MICROPY_PY_BUILTINS_FLOAT
} else if (mp_obj_is_float(rhs_in)) {
return mp_obj_float_binary_op(op, mpz_as_float(zlhs), rhs_in);
#if MICROPY_PY_BUILTINS_COMPLEX
} else if (MP_OBJ_IS_TYPE(rhs_in, &mp_type_complex)) {
return mp_obj_complex_binary_op(op, mpz_as_float(zlhs), 0, rhs_in);
#endif
#endif
} else {
// delegate to generic function to check for extra cases
return mp_obj_int_binary_op_extra_cases(op, lhs_in, rhs_in);
}
if (0) {
#if MICROPY_PY_BUILTINS_FLOAT
} else if (op == MP_BINARY_OP_TRUE_DIVIDE || op == MP_BINARY_OP_INPLACE_TRUE_DIVIDE) {
if (mpz_is_zero(zrhs)) {
goto zero_division_error;
}
mp_float_t flhs = mpz_as_float(zlhs);
mp_float_t frhs = mpz_as_float(zrhs);
return mp_obj_new_float(flhs / frhs);
#endif
} else if (op >= MP_BINARY_OP_INPLACE_OR && op < MP_BINARY_OP_CONTAINS) {
mp_obj_int_t *res = mp_obj_int_new_mpz();
switch (op) {
case MP_BINARY_OP_ADD:
case MP_BINARY_OP_INPLACE_ADD:
mpz_add_inpl(&res->mpz, zlhs, zrhs);
break;
case MP_BINARY_OP_SUBTRACT:
case MP_BINARY_OP_INPLACE_SUBTRACT:
mpz_sub_inpl(&res->mpz, zlhs, zrhs);
break;
case MP_BINARY_OP_MULTIPLY:
case MP_BINARY_OP_INPLACE_MULTIPLY:
mpz_mul_inpl(&res->mpz, zlhs, zrhs);
break;
case MP_BINARY_OP_FLOOR_DIVIDE:
case MP_BINARY_OP_INPLACE_FLOOR_DIVIDE: {
if (mpz_is_zero(zrhs)) {
zero_division_error:
mp_raise_msg(&mp_type_ZeroDivisionError, "divide by zero");
}
mpz_t rem; mpz_init_zero(&rem);
mpz_divmod_inpl(&res->mpz, &rem, zlhs, zrhs);
mpz_deinit(&rem);
break;
}
case MP_BINARY_OP_MODULO:
case MP_BINARY_OP_INPLACE_MODULO: {
if (mpz_is_zero(zrhs)) {
goto zero_division_error;
}
mpz_t quo; mpz_init_zero(&quo);
mpz_divmod_inpl(&quo, &res->mpz, zlhs, zrhs);
mpz_deinit(&quo);
break;
}
case MP_BINARY_OP_AND:
case MP_BINARY_OP_INPLACE_AND:
mpz_and_inpl(&res->mpz, zlhs, zrhs);
break;
case MP_BINARY_OP_OR:
case MP_BINARY_OP_INPLACE_OR:
mpz_or_inpl(&res->mpz, zlhs, zrhs);
break;
case MP_BINARY_OP_XOR:
case MP_BINARY_OP_INPLACE_XOR:
mpz_xor_inpl(&res->mpz, zlhs, zrhs);
break;
case MP_BINARY_OP_LSHIFT:
case MP_BINARY_OP_INPLACE_LSHIFT:
case MP_BINARY_OP_RSHIFT:
case MP_BINARY_OP_INPLACE_RSHIFT: {
mp_int_t irhs = mp_obj_int_get_checked(rhs_in);
if (irhs < 0) {
mp_raise_ValueError("negative shift count");
}
if (op == MP_BINARY_OP_LSHIFT || op == MP_BINARY_OP_INPLACE_LSHIFT) {
mpz_shl_inpl(&res->mpz, zlhs, irhs);
} else {
mpz_shr_inpl(&res->mpz, zlhs, irhs);
}
break;
}
case MP_BINARY_OP_POWER:
case MP_BINARY_OP_INPLACE_POWER:
if (mpz_is_neg(zrhs)) {
#if MICROPY_PY_BUILTINS_FLOAT
return mp_obj_float_binary_op(op, mpz_as_float(zlhs), rhs_in);
#else
mp_raise_ValueError("negative power with no float support");
#endif
}
mpz_pow_inpl(&res->mpz, zlhs, zrhs);
break;
default: {
assert(op == MP_BINARY_OP_DIVMOD);
if (mpz_is_zero(zrhs)) {
goto zero_division_error;
}
mp_obj_int_t *quo = mp_obj_int_new_mpz();
mpz_divmod_inpl(&quo->mpz, &res->mpz, zlhs, zrhs);
mp_obj_t tuple[2] = {MP_OBJ_FROM_PTR(quo), MP_OBJ_FROM_PTR(res)};
return mp_obj_new_tuple(2, tuple);
}
}
return MP_OBJ_FROM_PTR(res);
} else {
int cmp = mpz_cmp(zlhs, zrhs);
switch (op) {
case MP_BINARY_OP_LESS:
return mp_obj_new_bool(cmp < 0);
case MP_BINARY_OP_MORE:
return mp_obj_new_bool(cmp > 0);
case MP_BINARY_OP_LESS_EQUAL:
return mp_obj_new_bool(cmp <= 0);
case MP_BINARY_OP_MORE_EQUAL:
return mp_obj_new_bool(cmp >= 0);
case MP_BINARY_OP_EQUAL:
return mp_obj_new_bool(cmp == 0);
default:
return MP_OBJ_NULL; // op not supported
}
}
}
#if MICROPY_PY_BUILTINS_POW3
STATIC mpz_t *mp_mpz_for_int(mp_obj_t arg, mpz_t *temp) {
if (MP_OBJ_IS_SMALL_INT(arg)) {
mpz_init_from_int(temp, MP_OBJ_SMALL_INT_VALUE(arg));
return temp;
} else {
mp_obj_int_t *arp_p = MP_OBJ_TO_PTR(arg);
return &(arp_p->mpz);
}
}
mp_obj_t mp_obj_int_pow3(mp_obj_t base, mp_obj_t exponent, mp_obj_t modulus) {
if (!MP_OBJ_IS_INT(base) || !MP_OBJ_IS_INT(exponent) || !MP_OBJ_IS_INT(modulus)) {
mp_raise_TypeError("pow() with 3 arguments requires integers");
} else {
mp_obj_t result = mp_obj_new_int_from_ull(0); // Use the _from_ull version as this forces an mpz int
mp_obj_int_t *res_p = (mp_obj_int_t *) MP_OBJ_TO_PTR(result);
mpz_t l_temp, r_temp, m_temp;
mpz_t *lhs = mp_mpz_for_int(base, &l_temp);
mpz_t *rhs = mp_mpz_for_int(exponent, &r_temp);
mpz_t *mod = mp_mpz_for_int(modulus, &m_temp);
mpz_pow3_inpl(&(res_p->mpz), lhs, rhs, mod);
if (lhs == &l_temp) { mpz_deinit(lhs); }
if (rhs == &r_temp) { mpz_deinit(rhs); }
if (mod == &m_temp) { mpz_deinit(mod); }
return result;
}
}
#endif
mp_obj_t mp_obj_new_int(mp_int_t value) {
if (MP_SMALL_INT_FITS(value)) {
return MP_OBJ_NEW_SMALL_INT(value);
}
return mp_obj_new_int_from_ll(value);
}
mp_obj_t mp_obj_new_int_from_ll(long long val) {
mp_obj_int_t *o = mp_obj_int_new_mpz();
mpz_set_from_ll(&o->mpz, val, true);
return MP_OBJ_FROM_PTR(o);
}
mp_obj_t mp_obj_new_int_from_ull(unsigned long long val) {
mp_obj_int_t *o = mp_obj_int_new_mpz();
mpz_set_from_ll(&o->mpz, val, false);
return MP_OBJ_FROM_PTR(o);
}
mp_obj_t mp_obj_new_int_from_uint(mp_uint_t value) {
// SMALL_INT accepts only signed numbers, so make sure the input
// value fits completely in the small-int positive range.
if ((value & ~MP_SMALL_INT_POSITIVE_MASK) == 0) {
return MP_OBJ_NEW_SMALL_INT(value);
}
return mp_obj_new_int_from_ull(value);
}
mp_obj_t mp_obj_new_int_from_str_len(const char **str, size_t len, bool neg, unsigned int base) {
mp_obj_int_t *o = mp_obj_int_new_mpz();
size_t n = mpz_set_from_str(&o->mpz, *str, len, neg, base);
*str += n;
return MP_OBJ_FROM_PTR(o);
}
mp_int_t mp_obj_int_get_truncated(mp_const_obj_t self_in) {
if (MP_OBJ_IS_SMALL_INT(self_in)) {
return MP_OBJ_SMALL_INT_VALUE(self_in);
} else {
const mp_obj_int_t *self = MP_OBJ_TO_PTR(self_in);
// hash returns actual int value if it fits in mp_int_t
return mpz_hash(&self->mpz);
}
}
mp_int_t mp_obj_int_get_checked(mp_const_obj_t self_in) {
if (MP_OBJ_IS_SMALL_INT(self_in)) {
return MP_OBJ_SMALL_INT_VALUE(self_in);
} else {
const mp_obj_int_t *self = MP_OBJ_TO_PTR(self_in);
mp_int_t value;
if (mpz_as_int_checked(&self->mpz, &value)) {
return value;
} else {
// overflow
mp_raise_msg(&mp_type_OverflowError, "overflow converting long int to machine word");
}
}
}
#if MICROPY_PY_BUILTINS_FLOAT
mp_float_t mp_obj_int_as_float_impl(mp_obj_t self_in) {
assert(MP_OBJ_IS_TYPE(self_in, &mp_type_int));
mp_obj_int_t *self = MP_OBJ_TO_PTR(self_in);
return mpz_as_float(&self->mpz);
}
#endif
#endif
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