331 lines
11 KiB
C
331 lines
11 KiB
C
/*
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* This file is part of the MicroPython project, http://micropython.org/
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*
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* The MIT License (MIT)
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*
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* Copyright (c) 2013, 2014 Damien P. George
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include <string.h>
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#include <assert.h>
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#include "py/parsenum.h"
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#include "py/runtime.h"
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#if MICROPY_PY_BUILTINS_FLOAT
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#include <math.h>
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#include "py/formatfloat.h"
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#if MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_C && MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_D
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// M_E and M_PI are not part of the math.h standard and may not be defined
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#ifndef M_E
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#define M_E (2.7182818284590452354)
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#endif
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#ifndef M_PI
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#define M_PI (3.14159265358979323846)
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#endif
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typedef struct _mp_obj_float_t {
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mp_obj_base_t base;
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mp_float_t value;
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} mp_obj_float_t;
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const mp_obj_float_t mp_const_float_e_obj = {{&mp_type_float}, M_E};
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const mp_obj_float_t mp_const_float_pi_obj = {{&mp_type_float}, M_PI};
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#endif
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#if MICROPY_FLOAT_HIGH_QUALITY_HASH
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// must return actual integer value if it fits in mp_int_t
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mp_int_t mp_float_hash(mp_float_t src) {
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#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_DOUBLE
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typedef uint64_t mp_float_uint_t;
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#elif MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
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typedef uint32_t mp_float_uint_t;
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#endif
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union {
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mp_float_t f;
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#if MP_ENDIANNESS_LITTLE
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struct { mp_float_uint_t frc:MP_FLOAT_FRAC_BITS, exp:MP_FLOAT_EXP_BITS, sgn:1; } p;
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#else
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struct { mp_float_uint_t sgn:1, exp:MP_FLOAT_EXP_BITS, frc:MP_FLOAT_FRAC_BITS; } p;
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#endif
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mp_float_uint_t i;
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} u = {.f = src};
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mp_int_t val;
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const int adj_exp = (int)u.p.exp - MP_FLOAT_EXP_BIAS;
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if (adj_exp < 0) {
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// value < 1; must be sure to handle 0.0 correctly (ie return 0)
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val = u.i;
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} else {
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// if adj_exp is max then: u.p.frc==0 indicates inf, else NaN
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// else: 1 <= value
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mp_float_uint_t frc = u.p.frc | ((mp_float_uint_t)1 << MP_FLOAT_FRAC_BITS);
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if (adj_exp <= MP_FLOAT_FRAC_BITS) {
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// number may have a fraction; xor the integer part with the fractional part
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val = (frc >> (MP_FLOAT_FRAC_BITS - adj_exp))
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^ (frc & (((mp_float_uint_t)1 << (MP_FLOAT_FRAC_BITS - adj_exp)) - 1));
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} else if ((unsigned int)adj_exp < BITS_PER_BYTE * sizeof(mp_int_t) - 1) {
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// the number is a (big) whole integer and will fit in val's signed-width
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val = (mp_int_t)frc << (adj_exp - MP_FLOAT_FRAC_BITS);
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} else {
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// integer part will overflow val's width so just use what bits we can
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val = frc;
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}
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}
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if (u.p.sgn) {
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val = -(mp_uint_t)val;
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}
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return val;
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}
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#endif
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STATIC void float_print(const mp_print_t *print, mp_obj_t o_in, mp_print_kind_t kind) {
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(void)kind;
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mp_float_t o_val = mp_obj_float_get(o_in);
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#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
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char buf[16];
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#if MICROPY_OBJ_REPR == MICROPY_OBJ_REPR_C
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const int precision = 6;
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#else
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const int precision = 7;
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#endif
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#else
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char buf[32];
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const int precision = 16;
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#endif
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mp_format_float(o_val, buf, sizeof(buf), 'g', precision, '\0');
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mp_print_str(print, buf);
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if (strchr(buf, '.') == NULL && strchr(buf, 'e') == NULL && strchr(buf, 'n') == NULL) {
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// Python floats always have decimal point (unless inf or nan)
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mp_print_str(print, ".0");
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}
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}
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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) {
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(void)type_in;
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mp_arg_check_num(n_args, n_kw, 0, 1, false);
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switch (n_args) {
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case 0:
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return mp_obj_new_float(0);
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case 1:
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default: {
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mp_buffer_info_t bufinfo;
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if (mp_get_buffer(args[0], &bufinfo, MP_BUFFER_READ)) {
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// a textual representation, parse it
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return mp_parse_num_decimal(bufinfo.buf, bufinfo.len, false, false, NULL);
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} else if (mp_obj_is_float(args[0])) {
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// a float, just return it
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return args[0];
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} else {
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// something else, try to cast it to a float
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return mp_obj_new_float(mp_obj_get_float(args[0]));
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}
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}
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}
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}
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STATIC mp_obj_t float_unary_op(mp_unary_op_t op, mp_obj_t o_in) {
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mp_float_t val = mp_obj_float_get(o_in);
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switch (op) {
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case MP_UNARY_OP_BOOL: return mp_obj_new_bool(val != 0);
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case MP_UNARY_OP_HASH: return MP_OBJ_NEW_SMALL_INT(mp_float_hash(val));
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case MP_UNARY_OP_POSITIVE: return o_in;
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case MP_UNARY_OP_NEGATIVE: return mp_obj_new_float(-val);
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case MP_UNARY_OP_ABS: {
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if (signbit(val)) {
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return mp_obj_new_float(-val);
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} else {
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return o_in;
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}
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}
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default: return MP_OBJ_NULL; // op not supported
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}
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}
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STATIC mp_obj_t float_binary_op(mp_binary_op_t op, mp_obj_t lhs_in, mp_obj_t rhs_in) {
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mp_float_t lhs_val = mp_obj_float_get(lhs_in);
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#if MICROPY_PY_BUILTINS_COMPLEX
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if (MP_OBJ_IS_TYPE(rhs_in, &mp_type_complex)) {
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return mp_obj_complex_binary_op(op, lhs_val, 0, rhs_in);
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} else
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#endif
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{
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return mp_obj_float_binary_op(op, lhs_val, rhs_in);
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}
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}
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const mp_obj_type_t mp_type_float = {
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{ &mp_type_type },
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.name = MP_QSTR_float,
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.print = float_print,
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.make_new = float_make_new,
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.unary_op = float_unary_op,
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.binary_op = float_binary_op,
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};
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#if MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_C && MICROPY_OBJ_REPR != MICROPY_OBJ_REPR_D
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mp_obj_t mp_obj_new_float(mp_float_t value) {
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mp_obj_float_t *o = m_new(mp_obj_float_t, 1);
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o->base.type = &mp_type_float;
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o->value = value;
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return MP_OBJ_FROM_PTR(o);
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}
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mp_float_t mp_obj_float_get(mp_obj_t self_in) {
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assert(mp_obj_is_float(self_in));
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mp_obj_float_t *self = MP_OBJ_TO_PTR(self_in);
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return self->value;
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}
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#endif
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STATIC void mp_obj_float_divmod(mp_float_t *x, mp_float_t *y) {
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// logic here follows that of CPython
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// https://docs.python.org/3/reference/expressions.html#binary-arithmetic-operations
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// x == (x//y)*y + (x%y)
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// divmod(x, y) == (x//y, x%y)
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mp_float_t mod = MICROPY_FLOAT_C_FUN(fmod)(*x, *y);
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mp_float_t div = (*x - mod) / *y;
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// Python specs require that mod has same sign as second operand
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if (mod == 0.0) {
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mod = MICROPY_FLOAT_C_FUN(copysign)(0.0, *y);
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} else {
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if ((mod < 0.0) != (*y < 0.0)) {
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mod += *y;
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div -= 1.0;
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}
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}
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mp_float_t floordiv;
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if (div == 0.0) {
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// if division is zero, take the correct sign of zero
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floordiv = MICROPY_FLOAT_C_FUN(copysign)(0.0, *x / *y);
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} else {
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// Python specs require that x == (x//y)*y + (x%y)
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floordiv = MICROPY_FLOAT_C_FUN(floor)(div);
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if (div - floordiv > 0.5) {
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floordiv += 1.0;
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}
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}
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// return results
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*x = floordiv;
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*y = mod;
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}
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mp_obj_t mp_obj_float_binary_op(mp_binary_op_t op, mp_float_t lhs_val, mp_obj_t rhs_in) {
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mp_float_t rhs_val;
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if (!mp_obj_get_float_maybe(rhs_in, &rhs_val)) {
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return MP_OBJ_NULL; // op not supported
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}
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switch (op) {
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case MP_BINARY_OP_ADD:
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case MP_BINARY_OP_INPLACE_ADD: lhs_val += rhs_val; break;
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case MP_BINARY_OP_SUBTRACT:
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case MP_BINARY_OP_INPLACE_SUBTRACT: lhs_val -= rhs_val; break;
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case MP_BINARY_OP_MULTIPLY:
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case MP_BINARY_OP_INPLACE_MULTIPLY: lhs_val *= rhs_val; break;
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case MP_BINARY_OP_FLOOR_DIVIDE:
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case MP_BINARY_OP_INPLACE_FLOOR_DIVIDE:
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if (rhs_val == 0) {
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zero_division_error:
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mp_raise_msg(&mp_type_ZeroDivisionError, "divide by zero");
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}
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// Python specs require that x == (x//y)*y + (x%y) so we must
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// call divmod to compute the correct floor division, which
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// returns the floor divide in lhs_val.
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mp_obj_float_divmod(&lhs_val, &rhs_val);
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break;
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case MP_BINARY_OP_TRUE_DIVIDE:
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case MP_BINARY_OP_INPLACE_TRUE_DIVIDE:
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if (rhs_val == 0) {
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goto zero_division_error;
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}
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lhs_val /= rhs_val;
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break;
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case MP_BINARY_OP_MODULO:
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case MP_BINARY_OP_INPLACE_MODULO:
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if (rhs_val == 0) {
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goto zero_division_error;
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}
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lhs_val = MICROPY_FLOAT_C_FUN(fmod)(lhs_val, rhs_val);
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// Python specs require that mod has same sign as second operand
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if (lhs_val == 0.0) {
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lhs_val = MICROPY_FLOAT_C_FUN(copysign)(0.0, rhs_val);
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} else {
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if ((lhs_val < 0.0) != (rhs_val < 0.0)) {
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lhs_val += rhs_val;
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}
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}
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break;
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case MP_BINARY_OP_POWER:
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case MP_BINARY_OP_INPLACE_POWER:
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if (lhs_val == 0 && rhs_val < 0 && !isinf(rhs_val)) {
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goto zero_division_error;
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}
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if (lhs_val < 0 && rhs_val != MICROPY_FLOAT_C_FUN(floor)(rhs_val)) {
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#if MICROPY_PY_BUILTINS_COMPLEX
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return mp_obj_complex_binary_op(MP_BINARY_OP_POWER, lhs_val, 0, rhs_in);
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#else
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mp_raise_ValueError("complex values not supported");
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#endif
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}
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lhs_val = MICROPY_FLOAT_C_FUN(pow)(lhs_val, rhs_val);
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break;
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case MP_BINARY_OP_DIVMOD: {
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if (rhs_val == 0) {
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goto zero_division_error;
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}
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mp_obj_float_divmod(&lhs_val, &rhs_val);
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mp_obj_t tuple[2] = {
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mp_obj_new_float(lhs_val),
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mp_obj_new_float(rhs_val),
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};
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return mp_obj_new_tuple(2, tuple);
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}
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case MP_BINARY_OP_LESS: return mp_obj_new_bool(lhs_val < rhs_val);
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case MP_BINARY_OP_MORE: return mp_obj_new_bool(lhs_val > rhs_val);
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case MP_BINARY_OP_EQUAL: return mp_obj_new_bool(lhs_val == rhs_val);
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case MP_BINARY_OP_LESS_EQUAL: return mp_obj_new_bool(lhs_val <= rhs_val);
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case MP_BINARY_OP_MORE_EQUAL: return mp_obj_new_bool(lhs_val >= rhs_val);
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default:
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return MP_OBJ_NULL; // op not supported
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}
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return mp_obj_new_float(lhs_val);
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}
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#endif // MICROPY_PY_BUILTINS_FLOAT
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