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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 <stdlib.h>
- #include <stdio.h>
- #include <string.h>
- #include <assert.h>
- #include "py/parsenum.h"
- #include "py/runtime.h"
- #if MICROPY_PY_BUILTINS_FLOAT
- #include <math.h>
- #include "py/formatfloat.h"
- #if MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_C && MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_D
- // M_E and M_PI are not part of the math.h standard and may not be defined
- #ifndef M_E
- #define M_E (2.7182818284590452354)
- #endif
- #ifndef M_PI
- #define M_PI (3.14159265358979323846)
- #endif
- typedef struct _mp_obj_float_t {
- mp_obj_base_t base;
- mp_float_t value;
- } mp_obj_float_t;
- const mp_obj_float_t mp_const_float_e_obj = {{&mp_type_float}, (mp_float_t)M_E};
- const mp_obj_float_t mp_const_float_pi_obj = {{&mp_type_float}, (mp_float_t)M_PI};
- #if MICROPY_PY_MATH_CONSTANTS
- #ifndef NAN
- #error NAN macro is not defined
- #endif
- const mp_obj_float_t mp_const_float_tau_obj = {{&mp_type_float}, (mp_float_t)(2.0 * M_PI)};
- const mp_obj_float_t mp_const_float_inf_obj = {{&mp_type_float}, (mp_float_t)INFINITY};
- const mp_obj_float_t mp_const_float_nan_obj = {{&mp_type_float}, (mp_float_t)NAN};
- #endif
- #endif
- #define MICROPY_FLOAT_ZERO MICROPY_FLOAT_CONST(0.0)
- #if MICROPY_FLOAT_HIGH_QUALITY_HASH
- // must return actual integer value if it fits in mp_int_t
- mp_int_t mp_float_hash(mp_float_t src) {
- mp_float_union_t u = {.f = src};
- mp_int_t val;
- const int adj_exp = (int)u.p.exp - MP_FLOAT_EXP_BIAS;
- if (adj_exp < 0) {
- // value < 1; must be sure to handle 0.0 correctly (ie return 0)
- val = u.i;
- } else {
- // if adj_exp is max then: u.p.frc==0 indicates inf, else NaN
- // else: 1 <= value
- mp_float_uint_t frc = u.p.frc | ((mp_float_uint_t)1 << MP_FLOAT_FRAC_BITS);
- if (adj_exp <= MP_FLOAT_FRAC_BITS) {
- // number may have a fraction; xor the integer part with the fractional part
- val = (frc >> (MP_FLOAT_FRAC_BITS - adj_exp))
- ^ (frc & (((mp_float_uint_t)1 << (MP_FLOAT_FRAC_BITS - adj_exp)) - 1));
- } else if ((unsigned int)adj_exp < MP_BITS_PER_BYTE * sizeof(mp_int_t) - 1) {
- // the number is a (big) whole integer and will fit in val's signed-width
- val = (mp_int_t)frc << (adj_exp - MP_FLOAT_FRAC_BITS);
- } else {
- // integer part will overflow val's width so just use what bits we can
- val = frc;
- }
- }
- if (u.p.sgn) {
- val = -(mp_uint_t)val;
- }
- return val;
- }
- #endif
- static void float_print(const mp_print_t *print, mp_obj_t o_in, mp_print_kind_t kind) {
- (void)kind;
- mp_float_t o_val = mp_obj_float_get(o_in);
- #if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
- char buf[16];
- #if MICROPY_OBJ_REPR == MICROPY_OBJ_REPR_C
- const int precision = 6;
- #else
- const int precision = 7;
- #endif
- #else
- char buf[32];
- const int precision = 16;
- #endif
- mp_format_float(o_val, buf, sizeof(buf), 'g', precision, '\0');
- mp_print_str(print, buf);
- if (strchr(buf, '.') == NULL && strchr(buf, 'e') == NULL && strchr(buf, 'n') == NULL) {
- // Python floats always have decimal point (unless inf or nan)
- mp_print_str(print, ".0");
- }
- }
- static mp_obj_t float_make_new(const mp_obj_type_t *type_in, size_t n_args, size_t n_kw, const mp_obj_t *args) {
- (void)type_in;
- mp_arg_check_num(n_args, n_kw, 0, 1, false);
- switch (n_args) {
- case 0:
- return mp_obj_new_float(0);
- case 1:
- default: {
- mp_buffer_info_t bufinfo;
- if (mp_get_buffer(args[0], &bufinfo, MP_BUFFER_READ)) {
- // a textual representation, parse it
- return mp_parse_num_float(bufinfo.buf, bufinfo.len, false, NULL);
- } else if (mp_obj_is_float(args[0])) {
- // a float, just return it
- return args[0];
- } else {
- // something else, try to cast it to a float
- return mp_obj_new_float(mp_obj_get_float(args[0]));
- }
- }
- }
- }
- static mp_obj_t float_unary_op(mp_unary_op_t op, mp_obj_t o_in) {
- mp_float_t val = mp_obj_float_get(o_in);
- switch (op) {
- case MP_UNARY_OP_BOOL:
- return mp_obj_new_bool(val != 0);
- case MP_UNARY_OP_HASH:
- return MP_OBJ_NEW_SMALL_INT(mp_float_hash(val));
- case MP_UNARY_OP_POSITIVE:
- return o_in;
- case MP_UNARY_OP_NEGATIVE:
- return mp_obj_new_float(-val);
- case MP_UNARY_OP_ABS: {
- if (signbit(val)) {
- return mp_obj_new_float(-val);
- } else {
- return o_in;
- }
- }
- default:
- return MP_OBJ_NULL; // op not supported
- }
- }
- static mp_obj_t float_binary_op(mp_binary_op_t op, mp_obj_t lhs_in, mp_obj_t rhs_in) {
- mp_float_t lhs_val = mp_obj_float_get(lhs_in);
- #if MICROPY_PY_BUILTINS_COMPLEX
- if (mp_obj_is_type(rhs_in, &mp_type_complex)) {
- return mp_obj_complex_binary_op(op, lhs_val, 0, rhs_in);
- }
- #endif
- return mp_obj_float_binary_op(op, lhs_val, rhs_in);
- }
- MP_DEFINE_CONST_OBJ_TYPE(
- mp_type_float, MP_QSTR_float, MP_TYPE_FLAG_EQ_NOT_REFLEXIVE | MP_TYPE_FLAG_EQ_CHECKS_OTHER_TYPE,
- make_new, float_make_new,
- print, float_print,
- unary_op, float_unary_op,
- binary_op, float_binary_op
- );
- #if MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_C && MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_D
- mp_obj_t mp_obj_new_float(mp_float_t value) {
- // Don't use mp_obj_malloc here to avoid extra function call overhead.
- mp_obj_float_t *o = m_new_obj(mp_obj_float_t);
- o->base.type = &mp_type_float;
- o->value = value;
- return MP_OBJ_FROM_PTR(o);
- }
- mp_float_t mp_obj_float_get(mp_obj_t self_in) {
- assert(mp_obj_is_float(self_in));
- mp_obj_float_t *self = MP_OBJ_TO_PTR(self_in);
- return self->value;
- }
- #endif
- static void mp_obj_float_divmod(mp_float_t *x, mp_float_t *y) {
- // logic here follows that of CPython
- // https://docs.python.org/3/reference/expressions.html#binary-arithmetic-operations
- // x == (x//y)*y + (x%y)
- // divmod(x, y) == (x//y, x%y)
- mp_float_t mod = MICROPY_FLOAT_C_FUN(fmod)(*x, *y);
- mp_float_t div = (*x - mod) / *y;
- // Python specs require that mod has same sign as second operand
- if (mod == MICROPY_FLOAT_ZERO) {
- mod = MICROPY_FLOAT_C_FUN(copysign)(MICROPY_FLOAT_ZERO, *y);
- } else {
- if ((mod < MICROPY_FLOAT_ZERO) != (*y < MICROPY_FLOAT_ZERO)) {
- mod += *y;
- div -= MICROPY_FLOAT_CONST(1.0);
- }
- }
- mp_float_t floordiv;
- if (div == MICROPY_FLOAT_ZERO) {
- // if division is zero, take the correct sign of zero
- floordiv = MICROPY_FLOAT_C_FUN(copysign)(MICROPY_FLOAT_ZERO, *x / *y);
- } else {
- // Python specs require that x == (x//y)*y + (x%y)
- floordiv = MICROPY_FLOAT_C_FUN(floor)(div);
- if (div - floordiv > MICROPY_FLOAT_CONST(0.5)) {
- floordiv += MICROPY_FLOAT_CONST(1.0);
- }
- }
- // return results
- *x = floordiv;
- *y = mod;
- }
- mp_obj_t mp_obj_float_binary_op(mp_binary_op_t op, mp_float_t lhs_val, mp_obj_t rhs_in) {
- mp_float_t rhs_val;
- if (!mp_obj_get_float_maybe(rhs_in, &rhs_val)) {
- return MP_OBJ_NULL; // op not supported
- }
- switch (op) {
- case MP_BINARY_OP_ADD:
- case MP_BINARY_OP_INPLACE_ADD:
- lhs_val += rhs_val;
- break;
- case MP_BINARY_OP_SUBTRACT:
- case MP_BINARY_OP_INPLACE_SUBTRACT:
- lhs_val -= rhs_val;
- break;
- case MP_BINARY_OP_MULTIPLY:
- case MP_BINARY_OP_INPLACE_MULTIPLY:
- lhs_val *= rhs_val;
- break;
- case MP_BINARY_OP_FLOOR_DIVIDE:
- case MP_BINARY_OP_INPLACE_FLOOR_DIVIDE:
- if (rhs_val == 0) {
- zero_division_error:
- mp_raise_msg(&mp_type_ZeroDivisionError, MP_ERROR_TEXT("divide by zero"));
- }
- // Python specs require that x == (x//y)*y + (x%y) so we must
- // call divmod to compute the correct floor division, which
- // returns the floor divide in lhs_val.
- mp_obj_float_divmod(&lhs_val, &rhs_val);
- break;
- case MP_BINARY_OP_TRUE_DIVIDE:
- case MP_BINARY_OP_INPLACE_TRUE_DIVIDE:
- if (rhs_val == 0) {
- goto zero_division_error;
- }
- lhs_val /= rhs_val;
- break;
- case MP_BINARY_OP_MODULO:
- case MP_BINARY_OP_INPLACE_MODULO:
- if (rhs_val == MICROPY_FLOAT_ZERO) {
- goto zero_division_error;
- }
- lhs_val = MICROPY_FLOAT_C_FUN(fmod)(lhs_val, rhs_val);
- // Python specs require that mod has same sign as second operand
- if (lhs_val == MICROPY_FLOAT_ZERO) {
- lhs_val = MICROPY_FLOAT_C_FUN(copysign)(0.0, rhs_val);
- } else {
- if ((lhs_val < MICROPY_FLOAT_ZERO) != (rhs_val < MICROPY_FLOAT_ZERO)) {
- lhs_val += rhs_val;
- }
- }
- break;
- case MP_BINARY_OP_POWER:
- case MP_BINARY_OP_INPLACE_POWER:
- if (lhs_val == 0 && rhs_val < 0 && !isinf(rhs_val)) {
- goto zero_division_error;
- }
- if (lhs_val < 0 && rhs_val != MICROPY_FLOAT_C_FUN(floor)(rhs_val) && !isnan(rhs_val)) {
- #if MICROPY_PY_BUILTINS_COMPLEX
- return mp_obj_complex_binary_op(MP_BINARY_OP_POWER, lhs_val, 0, rhs_in);
- #else
- mp_raise_ValueError(MP_ERROR_TEXT("complex values not supported"));
- #endif
- }
- #if MICROPY_PY_MATH_POW_FIX_NAN // Also see modmath.c.
- if (lhs_val == MICROPY_FLOAT_CONST(1.0) || rhs_val == MICROPY_FLOAT_CONST(0.0)) {
- lhs_val = MICROPY_FLOAT_CONST(1.0);
- break;
- }
- #endif
- lhs_val = MICROPY_FLOAT_C_FUN(pow)(lhs_val, rhs_val);
- break;
- case MP_BINARY_OP_DIVMOD: {
- if (rhs_val == 0) {
- goto zero_division_error;
- }
- mp_obj_float_divmod(&lhs_val, &rhs_val);
- mp_obj_t tuple[2] = {
- mp_obj_new_float(lhs_val),
- mp_obj_new_float(rhs_val),
- };
- return mp_obj_new_tuple(2, tuple);
- }
- case MP_BINARY_OP_LESS:
- return mp_obj_new_bool(lhs_val < rhs_val);
- case MP_BINARY_OP_MORE:
- return mp_obj_new_bool(lhs_val > rhs_val);
- case MP_BINARY_OP_EQUAL:
- return mp_obj_new_bool(lhs_val == rhs_val);
- case MP_BINARY_OP_LESS_EQUAL:
- return mp_obj_new_bool(lhs_val <= rhs_val);
- case MP_BINARY_OP_MORE_EQUAL:
- return mp_obj_new_bool(lhs_val >= rhs_val);
- default:
- return MP_OBJ_NULL; // op not supported
- }
- return mp_obj_new_float(lhs_val);
- }
- #endif // MICROPY_PY_BUILTINS_FLOAT
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