Skip to content
Navigation Menu
{{ message }}
forked from micropython/micropython
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathobjcomplex.c
More file actions
257 lines (233 loc) · 8.92 KB
/
Copy pathobjcomplex.c
File metadata and controls
257 lines (233 loc) · 8.92 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
/*
* This file is part of the Micro Python 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 <assert.h>
#include "mpconfig.h"
#include "nlr.h"
#include "misc.h"
#include "qstr.h"
#include "obj.h"
#include "parsenum.h"
#include "runtime0.h"
#include "runtime.h"
#if MICROPY_PY_BUILTINS_COMPLEX
#include <math.h>
#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
#include "formatfloat.h"
#endif
typedef struct _mp_obj_complex_t {
mp_obj_base_t base;
mp_float_t real;
mp_float_t imag;
} mp_obj_complex_t;
mp_obj_t mp_obj_new_complex(mp_float_t real, mp_float_t imag);
STATIC void complex_print(void (*print)(void *env, const char *fmt, ...), void *env, mp_obj_t o_in, mp_print_kind_t kind) {
mp_obj_complex_t *o = o_in;
#if MICROPY_FLOAT_IMPL == MICROPY_FLOAT_IMPL_FLOAT
char buf[16];
if (o->real == 0) {
format_float(o->imag, buf, sizeof(buf), 'g', 7, '\0');
print(env, "%sj", buf);
} else {
format_float(o->real, buf, sizeof(buf), 'g', 7, '\0');
print(env, "(%s+", buf);
format_float(o->imag, buf, sizeof(buf), 'g', 7, '\0');
print(env, "%sj)", buf);
}
#else
char buf[32];
if (o->real == 0) {
sprintf(buf, "%.16g", (double)o->imag);
print(env, "%sj", buf);
} else {
sprintf(buf, "%.16g", (double)o->real);
print(env, "(%s+", buf);
sprintf(buf, "%.16g", (double)o->imag);
print(env, "%sj)", buf);
}
#endif
}
STATIC mp_obj_t complex_make_new(mp_obj_t type_in, mp_uint_t n_args, mp_uint_t n_kw, const mp_obj_t *args) {
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
mp_uint_t l;
const char *s = mp_obj_str_get_data(args[0], &l);
return mp_parse_num_decimal(s, l, true, true);
} 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 = o_in;
switch (op) {
case MP_UNARY_OP_BOOL: return MP_BOOL(o->real != 0 || o->imag != 0);
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 = lhs_in;
return mp_obj_complex_binary_op(op, lhs->real, lhs->imag, rhs_in);
}
STATIC void complex_load_attr(mp_obj_t self_in, qstr attr, mp_obj_t *dest) {
mp_obj_complex_t *self = 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,
.load_attr = complex_load_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 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 = 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:
nlr_raise(mp_obj_new_exception_msg_varg(&mp_type_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) {
nlr_raise(mp_obj_new_exception_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) {
lhs_real = 1;
rhs_real = 0;
} else {
nlr_raise(mp_obj_new_exception_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_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);
}
#endif
You can’t perform that action at this time.