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
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
|
#include "wmadec.h"
#include "wmafixed.h"
#include <codecs.h>
fixed64 IntTo64(int x){
fixed64 res = 0;
unsigned char *p = (unsigned char *)&res;
#ifdef ROCKBOX_BIG_ENDIAN
p[5] = x & 0xff;
p[4] = (x & 0xff00)>>8;
p[3] = (x & 0xff0000)>>16;
p[2] = (x & 0xff000000)>>24;
#else
p[2] = x & 0xff;
p[3] = (x & 0xff00)>>8;
p[4] = (x & 0xff0000)>>16;
p[5] = (x & 0xff000000)>>24;
#endif
return res;
}
int IntFrom64(fixed64 x)
{
int res = 0;
unsigned char *p = (unsigned char *)&x;
#ifdef ROCKBOX_BIG_ENDIAN
res = p[5] | (p[4]<<8) | (p[3]<<16) | (p[2]<<24);
#else
res = p[2] | (p[3]<<8) | (p[4]<<16) | (p[5]<<24);
#endif
return res;
}
fixed32 Fixed32From64(fixed64 x)
{
return x & 0xFFFFFFFF;
}
fixed64 Fixed32To64(fixed32 x)
{
return (fixed64)x;
}
/*
Fixed precision multiply code.
*/
/*Sign-15.16 format */
#ifdef CPU_ARM
/* these are defines in wmafixed.h*/
#elif defined(CPU_COLDFIRE)
#else
fixed32 fixmul32(fixed32 x, fixed32 y)
{
fixed64 temp;
temp = x;
temp *= y;
temp >>= PRECISION;
return (fixed32)temp;
}
#endif
/*
Special fixmul32 that does a 16.16 x 1.31 multiply that returns a 16.16 value.
this is needed because the fft constants are all normalized to be less then 1
and can't fit into a 16 bit number without excessive rounding
*/
#ifndef CPU_ARM
fixed32 fixmul32b(fixed32 x, fixed32 y)
{
fixed64 temp;
temp = x;
temp *= y;
temp >>= 31; //16+31-16 = 31 bits
return (fixed32)temp;
}
#endif
/*
Not performance senstitive code here
*/
fixed64 fixmul64byfixed(fixed64 x, fixed32 y)
{
//return x * y;
return (x * y);
// return (fixed64) fixmul32(Fixed32From64(x),y);
}
fixed32 fixdiv32(fixed32 x, fixed32 y)
{
fixed64 temp;
if(x == 0)
return 0;
if(y == 0)
return 0x7fffffff;
temp = x;
temp <<= PRECISION;
return (fixed32)(temp / y);
}
fixed64 fixdiv64(fixed64 x, fixed64 y)
{
fixed64 temp;
if(x == 0)
return 0;
if(y == 0)
return 0x07ffffffffffffffLL;
temp = x;
temp <<= PRECISION64;
return (fixed64)(temp / y);
}
fixed32 fixsqrt32(fixed32 x)
{
unsigned long r = 0, s, v = (unsigned long)x;
#define STEP(k) s = r + (1 << k * 2); r >>= 1; \
if (s <= v) { v -= s; r |= (1 << k * 2); }
STEP(15);
STEP(14);
STEP(13);
STEP(12);
STEP(11);
STEP(10);
STEP(9);
STEP(8);
STEP(7);
STEP(6);
STEP(5);
STEP(4);
STEP(3);
STEP(2);
STEP(1);
STEP(0);
return (fixed32)(r << (PRECISION / 2));
}
/* Inverse gain of circular cordic rotation in s0.31 format. */
static const long cordic_circular_gain = 0xb2458939; /* 0.607252929 */
/* Table of values of atan(2^-i) in 0.32 format fractions of pi where pi = 0xffffffff / 2 */
static const unsigned long atan_table[] = {
0x1fffffff, /* +0.785398163 (or pi/4) */
0x12e4051d, /* +0.463647609 */
0x09fb385b, /* +0.244978663 */
0x051111d4, /* +0.124354995 */
0x028b0d43, /* +0.062418810 */
0x0145d7e1, /* +0.031239833 */
0x00a2f61e, /* +0.015623729 */
0x00517c55, /* +0.007812341 */
0x0028be53, /* +0.003906230 */
0x00145f2e, /* +0.001953123 */
0x000a2f98, /* +0.000976562 */
0x000517cc, /* +0.000488281 */
0x00028be6, /* +0.000244141 */
0x000145f3, /* +0.000122070 */
0x0000a2f9, /* +0.000061035 */
0x0000517c, /* +0.000030518 */
0x000028be, /* +0.000015259 */
0x0000145f, /* +0.000007629 */
0x00000a2f, /* +0.000003815 */
0x00000517, /* +0.000001907 */
0x0000028b, /* +0.000000954 */
0x00000145, /* +0.000000477 */
0x000000a2, /* +0.000000238 */
0x00000051, /* +0.000000119 */
0x00000028, /* +0.000000060 */
0x00000014, /* +0.000000030 */
0x0000000a, /* +0.000000015 */
0x00000005, /* +0.000000007 */
0x00000002, /* +0.000000004 */
0x00000001, /* +0.000000002 */
0x00000000, /* +0.000000001 */
0x00000000, /* +0.000000000 */
};
/*
Below here functions do not use standard fixed precision!
*/
/**
* Implements sin and cos using CORDIC rotation.
*
* @param phase has range from 0 to 0xffffffff, representing 0 and
* 2*pi respectively.
* @param cos return address for cos
* @return sin of phase, value is a signed value from LONG_MIN to LONG_MAX,
* representing -1 and 1 respectively.
*
* Gives at least 24 bits precision (last 2-8 bits or so are probably off)
*/
long fsincos(unsigned long phase, fixed32 *cos)
{
int32_t x, x1, y, y1;
unsigned long z, z1;
int i;
/* Setup initial vector */
x = cordic_circular_gain;
y = 0;
z = phase;
/* The phase has to be somewhere between 0..pi for this to work right */
if (z < 0xffffffff / 4) {
/* z in first quadrant, z += pi/2 to correct */
x = -x;
z += 0xffffffff / 4;
} else if (z < 3 * (0xffffffff / 4)) {
/* z in third quadrant, z -= pi/2 to correct */
z -= 0xffffffff / 4;
} else {
/* z in fourth quadrant, z -= 3pi/2 to correct */
x = -x;
z -= 3 * (0xffffffff / 4);
}
/* Each iteration adds roughly 1-bit of extra precision */
for (i = 0; i < 31; i++) {
x1 = x >> i;
y1 = y >> i;
z1 = atan_table[i];
/* Decided which direction to rotate vector. Pivot point is pi/2 */
if (z >= 0xffffffff / 4) {
x -= y1;
y += x1;
z -= z1;
} else {
x += y1;
y -= x1;
z += z1;
}
}
if (cos)
*cos = x;
return y;
}
/*
Old trig functions. Still used in 1 place each.
*/
fixed32 fixsin32(fixed32 x)
{
fixed64 x2, temp;
int sign = 1;
if(x < 0)
{
sign = -1;
x = -x;
}
while (x > 0x19220)
{
x -= M_PI_F;
sign = -sign;
}
if (x > 0x19220)
{
x = M_PI_F - x;
}
x2 = (fixed64)x * x;
x2 >>= PRECISION;
if(sign != 1)
{
x = -x;
}
/**
temp = ftofix32(-.0000000239f) * x2;
temp >>= PRECISION;
**/
temp = 0; // PJJ
//temp = (temp + 0x0) * x2; //MGG: this can't possibly do anything?
//temp >>= PRECISION;
temp = (temp - 0xd) * x2;
temp >>= PRECISION;
temp = (temp + 0x222) * x2;
temp >>= PRECISION;
temp = (temp - 0x2aab) * x2;
temp >>= PRECISION;
temp += 0x10000;
temp = temp * x;
temp >>= PRECISION;
return (fixed32)(temp);
}
fixed32 fixcos32(fixed32 x)
{
return fixsin32(x - (M_PI_F>>1))*-1;
}
|