circuitpython/py/objcomplex.c at pdm · ProGamerCode/circuitpython · GitHub

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* This file is part of the Micro Python project, http://micropython.org/

* The MIT License (MIT)

* 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 <assert.h>

#include "py/nlr.h"

#include "py/obj.h"

#include "py/parsenum.h"

#include "py/runtime0.h"

#include "py/runtime.h"

#if MICROPY_PY_BUILTINS_COMPLEX

#include <math.h>

#include "py/formatfloat.h"

#pragma GCC diagnostic push

#pragma GCC diagnostic ignored "-Wfloat-equal"

typedef struct _mp_obj_complex_t {

mp_obj_base_t base;

mp_float_t real;

mp_float_t imag;

} mp_obj_complex_t;

STATIC void complex_print(const mp_print_t *print, mp_obj_t o_in, mp_print_kind_t kind) {

(void)kind;

mp_obj_complex_t *o = MP_OBJ_TO_PTR(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

if (o->real == 0) {

mp_format_float(o->imag, buf, sizeof(buf), 'g', precision, '\0');

mp_printf(print, "%sj", buf);

} else {

mp_format_float(o->real, buf, sizeof(buf), 'g', precision, '\0');

mp_printf(print, "(%s", buf);

if (o->imag >= 0 || isnan(o->imag)) {

mp_print_str(print, "+");

}

mp_format_float(o->imag, buf, sizeof(buf), 'g', precision, '\0');

mp_printf(print, "%sj)", buf);

}

STATIC mp_obj_t complex_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, 2, false);

switch (n_args) {

case 0:

return mp_obj_new_complex(0, 0);

case 1:

if (MP_OBJ_IS_STR(args[0])) {

// a string, parse it

size_t l;

const char *s = mp_obj_str_get_data(args[0], &l);

return mp_parse_num_decimal(s, l, true, true, NULL);

} else if (MP_OBJ_IS_TYPE(args[0], &mp_type_complex)) {

// a complex, just return it

return args[0];

} else {

// something else, try to cast it to a complex

return mp_obj_new_complex(mp_obj_get_float(args[0]), 0);

}

case 2:

default: {

mp_float_t real, imag;

if (MP_OBJ_IS_TYPE(args[0], &mp_type_complex)) {

mp_obj_complex_get(args[0], &real, &imag);

} else {

real = mp_obj_get_float(args[0]);

imag = 0;

}

if (MP_OBJ_IS_TYPE(args[1], &mp_type_complex)) {

mp_float_t real2, imag2;

mp_obj_complex_get(args[1], &real2, &imag2);

real -= imag2;

imag += real2;

} else {

imag += mp_obj_get_float(args[1]);

}

return mp_obj_new_complex(real, imag);

}

STATIC mp_obj_t complex_unary_op(mp_uint_t op, mp_obj_t o_in) {

mp_obj_complex_t *o = MP_OBJ_TO_PTR(o_in);

switch (op) {

case MP_UNARY_OP_BOOL: return mp_obj_new_bool(o->real != 0 || o->imag != 0);

case MP_UNARY_OP_HASH: return MP_OBJ_NEW_SMALL_INT(mp_float_hash(o->real) ^ mp_float_hash(o->imag));

case MP_UNARY_OP_POSITIVE: return o_in;

case MP_UNARY_OP_NEGATIVE: return mp_obj_new_complex(-o->real, -o->imag);

default: return MP_OBJ_NULL; // op not supported

}

STATIC mp_obj_t complex_binary_op(mp_uint_t op, mp_obj_t lhs_in, mp_obj_t rhs_in) {

mp_obj_complex_t *lhs = MP_OBJ_TO_PTR(lhs_in);

return mp_obj_complex_binary_op(op, lhs->real, lhs->imag, rhs_in);

}

STATIC void complex_attr(mp_obj_t self_in, qstr attr, mp_obj_t *dest) {

if (dest[0] != MP_OBJ_NULL) {

// not load attribute

return;

}

mp_obj_complex_t *self = MP_OBJ_TO_PTR(self_in);

if (attr == MP_QSTR_real) {

dest[0] = mp_obj_new_float(self->real);

} else if (attr == MP_QSTR_imag) {

dest[0] = mp_obj_new_float(self->imag);

}

const mp_obj_type_t mp_type_complex = {

{ &mp_type_type },

.name = MP_QSTR_complex,

.print = complex_print,

.make_new = complex_make_new,

.unary_op = complex_unary_op,

.binary_op = complex_binary_op,

.attr = complex_attr,

};

mp_obj_t mp_obj_new_complex(mp_float_t real, mp_float_t imag) {

mp_obj_complex_t *o = m_new_obj(mp_obj_complex_t);

o->base.type = &mp_type_complex;

o->real = real;

o->imag = imag;

return MP_OBJ_FROM_PTR(o);

}

void mp_obj_complex_get(mp_obj_t self_in, mp_float_t *real, mp_float_t *imag) {

assert(MP_OBJ_IS_TYPE(self_in, &mp_type_complex));

mp_obj_complex_t *self = MP_OBJ_TO_PTR(self_in);

*real = self->real;

*imag = self->imag;

}

mp_obj_t mp_obj_complex_binary_op(mp_uint_t op, mp_float_t lhs_real, mp_float_t lhs_imag, mp_obj_t rhs_in) {

mp_float_t rhs_real, rhs_imag;

mp_obj_get_complex(rhs_in, &rhs_real, &rhs_imag); // can be any type, this function will convert to float (if possible)

switch (op) {

case MP_BINARY_OP_ADD:

case MP_BINARY_OP_INPLACE_ADD:

lhs_real += rhs_real;

lhs_imag += rhs_imag;

break;

case MP_BINARY_OP_SUBTRACT:

case MP_BINARY_OP_INPLACE_SUBTRACT:

lhs_real -= rhs_real;

lhs_imag -= rhs_imag;

break;

case MP_BINARY_OP_MULTIPLY:

case MP_BINARY_OP_INPLACE_MULTIPLY: {

mp_float_t real;

multiply:

real = lhs_real * rhs_real - lhs_imag * rhs_imag;

lhs_imag = lhs_real * rhs_imag + lhs_imag * rhs_real;

lhs_real = real;

break;

}

case MP_BINARY_OP_FLOOR_DIVIDE:

case MP_BINARY_OP_INPLACE_FLOOR_DIVIDE:

mp_raise_TypeError("can't do truncated division of a complex number");

case MP_BINARY_OP_TRUE_DIVIDE:

case MP_BINARY_OP_INPLACE_TRUE_DIVIDE:

if (rhs_imag == 0) {

if (rhs_real == 0) {

mp_raise_msg(&mp_type_ZeroDivisionError, "complex division by zero");

}

lhs_real /= rhs_real;

lhs_imag /= rhs_real;

} else if (rhs_real == 0) {

mp_float_t real = lhs_imag / rhs_imag;

lhs_imag = -lhs_real / rhs_imag;

lhs_real = real;

} else {

mp_float_t rhs_len_sq = rhs_real*rhs_real + rhs_imag*rhs_imag;

rhs_real /= rhs_len_sq;

rhs_imag /= -rhs_len_sq;

goto multiply;

}

break;

case MP_BINARY_OP_POWER:

case MP_BINARY_OP_INPLACE_POWER: {

// z1**z2 = exp(z2*ln(z1))

// = exp(z2*(ln(|z1|)+i*arg(z1)))

// = exp( (x2*ln1 - y2*arg1) + i*(y2*ln1 + x2*arg1) )

// = exp(x3 + i*y3)

// = exp(x3)*(cos(y3) + i*sin(y3))

mp_float_t abs1 = MICROPY_FLOAT_C_FUN(sqrt)(lhs_real*lhs_real + lhs_imag*lhs_imag);

if (abs1 == 0) {

if (rhs_imag == 0 && rhs_real >= 0) {

lhs_real = (rhs_real == 0);

rhs_real = 0;

} else {

mp_raise_msg(&mp_type_ZeroDivisionError, "0.0 to a complex power");

}

} else {

mp_float_t ln1 = MICROPY_FLOAT_C_FUN(log)(abs1);

mp_float_t arg1 = MICROPY_FLOAT_C_FUN(atan2)(lhs_imag, lhs_real);

mp_float_t x3 = rhs_real * ln1 - rhs_imag * arg1;

mp_float_t y3 = rhs_imag * ln1 + rhs_real * arg1;

mp_float_t exp_x3 = MICROPY_FLOAT_C_FUN(exp)(x3);

lhs_real = exp_x3 * MICROPY_FLOAT_C_FUN(cos)(y3);

lhs_imag = exp_x3 * MICROPY_FLOAT_C_FUN(sin)(y3);

}

break;

}

case MP_BINARY_OP_EQUAL: return mp_obj_new_bool(lhs_real == rhs_real && lhs_imag == rhs_imag);

default:

return MP_OBJ_NULL; // op not supported

}

return mp_obj_new_complex(lhs_real, lhs_imag);

}

#pragma GCC diagnostic pop

#endif

circuitpython/py/objcomplex.c at pdm · ProGamerCode/circuitpython · GitHub

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