tsiry-sandratraina.com
A modern Music Player Daemon based on Rockbox open source high quality audio player
libadwaita
audio
rust
zig
deno
mpris
rockbox
mpd
1/***************************************************************************
2 * __________ __ ___.
3 * Open \______ \ ____ ____ | | _\_ |__ _______ ___
4 * Source | _// _ \_/ ___\| |/ /| __ \ / _ \ \/ /
5 * Jukebox | | ( <_> ) \___| < | \_\ ( <_> > < <
6 * Firmware |____|_ /\____/ \___ >__|_ \|___ /\____/__/\_ \
7 * \/ \/ \/ \/ \/
8 * $Id$
9 *
10 * Copyright (C) 2009 Wincent Balin
11 *
12 * This program is free software; you can redistribute it and/or
13 * modify it under the terms of the GNU General Public License
14 * as published by the Free Software Foundation; either version 2
15 * of the License, or (at your option) any later version.
16 *
17 * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY OF ANY
18 * KIND, either express or implied.
19 *
20 ****************************************************************************/
21
22#include "plugin.h"
23#include "pdbox.h"
24#include "ctype.h"
25
26#include "PDa/src/m_pd.h"
27#include "PDa/src/s_stuff.h"
28
29
30/* This implementation of strncat is taken from lua plug-in. */
31
32/* gcc is broken and has a non-SUSv2 compliant internal prototype.
33 * This causes it to warn about a type mismatch here. Ignore it. */
34char *rb_strncat(char *s, const char *t, size_t n)
35{
36 char *dest = s;
37 register char *max;
38 s += strlen(s);
39
40 if((max = s + n) == s)
41 goto strncat_fini;
42
43 while(true)
44 {
45 if(!(*s = *t))
46 break;
47 if(++s == max)
48 break;
49 ++t;
50
51#ifndef WANT_SMALL_STRING_ROUTINES
52 if(!(*s = *t))
53 break;
54 if(++s == max)
55 break;
56 ++t;
57 if(!(*s = *t))
58 break;
59 if(++s == max)
60 break;
61 ++t;
62 if(!(*s = *t))
63 break;
64 if(++s == max)
65 break;
66 ++t;
67#endif
68 }
69
70 *s = 0;
71
72strncat_fini:
73 return dest;
74}
75
76
77/* Implementation of floor, original. */
78float rb_floor(float value)
79{
80 /* If value is negative, decrement value to match function's definition. */
81 if(value < 0.0)
82 {
83 value -= 1.0;
84 }
85
86 /* Truncate fractional part (convert to integer)
87 and afterwards convert back to double. */
88 return (float) ((int) value);
89}
90
91
92/* Implementation of strtod() and atof(),
93 taken from SanOS (http://www.jbox.dk/sanos/). */
94static int rb_errno = 0;
95
96double rb_strtod(const char *str, char **endptr)
97{
98 double number;
99 int exponent;
100 int negative;
101 char *p = (char *) str;
102 double p10;
103 int n;
104 int num_digits;
105 int num_decimals;
106
107 /* Reset Rockbox errno -- W.B. */
108#ifdef ROCKBOX
109 rb_errno = 0;
110#endif
111
112 // Skip leading whitespace
113 while (isspace(*p)) p++;
114
115 // Handle optional sign
116 negative = 0;
117 switch (*p)
118 {
119 case '-': negative = 1; // Fall through to increment position
120 case '+': p++;
121 }
122
123 number = 0.;
124 exponent = 0;
125 num_digits = 0;
126 num_decimals = 0;
127
128 // Process string of digits
129 while (isdigit(*p))
130 {
131 number = number * 10. + (*p - '0');
132 p++;
133 num_digits++;
134 }
135
136 // Process decimal part
137 if (*p == '.')
138 {
139 p++;
140
141 while (isdigit(*p))
142 {
143 number = number * 10. + (*p - '0');
144 p++;
145 num_digits++;
146 num_decimals++;
147 }
148
149 exponent -= num_decimals;
150 }
151
152 if (num_digits == 0)
153 {
154#ifdef ROCKBOX
155 rb_errno = 1;
156#else
157 errno = ERANGE;
158#endif
159 return 0.0;
160 }
161
162 // Correct for sign
163 if (negative) number = -number;
164
165 // Process an exponent string
166 if (*p == 'e' || *p == 'E')
167 {
168 // Handle optional sign
169 negative = 0;
170 switch(*++p)
171 {
172 case '-': negative = 1; // Fall through to increment pos
173 case '+': p++;
174 }
175
176 // Process string of digits
177 n = 0;
178 while (isdigit(*p))
179 {
180 n = n * 10 + (*p - '0');
181 p++;
182 }
183
184 if (negative)
185 exponent -= n;
186 else
187 exponent += n;
188 }
189
190#ifndef ROCKBOX
191 if (exponent < DBL_MIN_EXP || exponent > DBL_MAX_EXP)
192 {
193 errno = ERANGE;
194 return HUGE_VAL;
195 }
196#endif
197
198 // Scale the result
199 p10 = 10.;
200 n = exponent;
201 if (n < 0) n = -n;
202 while (n)
203 {
204 if (n & 1)
205 {
206 if (exponent < 0)
207 number /= p10;
208 else
209 number *= p10;
210 }
211 n >>= 1;
212 p10 *= p10;
213 }
214
215#ifndef ROCKBOX
216 if (number == HUGE_VAL) errno = ERANGE;
217#endif
218 if (endptr) *endptr = p;
219
220 return number;
221}
222
223double rb_atof(const char *str)
224{
225 return rb_strtod(str, NULL);
226}
227
228
229/* Implementation of ftoa(), original. */
230void rb_ftoan(float f, char* out, int size)
231{
232 #define SBUFSIZE 12
233 char sbuf[SBUFSIZE];
234
235 /* Zero out string. */
236 *out = '\0';
237 size--;
238
239 /* Handle negative numbers. */
240 if(f < 0.0)
241 {
242 f = -f;
243 strcat(out, "-");
244 size--;
245 }
246
247 /* Find and convert integer part. */
248 int int_part = (int) f;
249 snprintf(sbuf, SBUFSIZE, "%d", int_part);
250 int int_part_len = strlen(sbuf);
251 if(size < int_part_len)
252 return;
253
254 /* Append integral part to output string. */
255 strcat(out, sbuf);
256 size -= int_part_len;
257
258 /* Check whether further content is possible. */
259 if(size <= 0)
260 return;
261
262 /* Append decimal point. */
263 strcat(out, ".");
264 size--;
265
266 /* Calculate first rest. */
267 float rest1 = (f - (float) int_part) * 1000000000.0;
268
269 /* If there is no fractional part, return here. */
270 if(rest1 == 0.0f)
271 return;
272
273 /* Convert the first rest to string. */
274 int irest1 = (int) rest1;
275 snprintf(sbuf, SBUFSIZE, "%09d", irest1);
276
277 /* Append first rest to output string. */
278 int rest1_len = strlen(sbuf);
279 int rest1_minlen = MIN(size, rest1_len);
280 strncat(out, sbuf, rest1_minlen);
281 size -= rest1_minlen;
282
283 /* Check whether output string still has enough space. */
284 if(size <= 0)
285 return;
286
287 /* Calculate second rest. */
288 float rest2 = (rest1 - (float) irest1) * 1000000000.0;
289
290 /* If no second rest, check whether
291 the output string has unwanted zero trail,
292 remove it and end processing here. */
293 if(rest2 == 0.0f)
294 {
295 char* zerotrail = out + strlen(out) - 1;
296
297 for(; zerotrail >= out; zerotrail--)
298 {
299 if(*zerotrail == '0')
300 *zerotrail = '\0';
301 else
302 return;
303 }
304 }
305
306 /* Convert second rest. */
307 int irest2 = (int) rest2;
308 snprintf(sbuf, SBUFSIZE, "%09d", irest2);
309
310 /* Append second rest to the output string. */
311 int rest2_len = strlen(sbuf);
312 int rest2_minlen = MIN(size, rest2_len);
313 strncat(out, sbuf, rest2_minlen);
314
315 /* Cut trailing zeroes. */
316 char* zerotrail = out + strlen(out) - 1;
317 for(;zerotrail >= out; zerotrail--)
318 {
319 if(*zerotrail == '0')
320 *zerotrail = '\0';
321 else
322 return;
323 }
324}
325
326
327/* Implementation of atol(), adapted from
328 the atoi() implementation in Rockbox. */
329long rb_atol(const char* str)
330{
331 long value = 0L;
332 long sign = 1L;
333
334 while (isspace(*str))
335 {
336 str++;
337 }
338
339 if ('-' == *str)
340 {
341 sign = -1L;
342 str++;
343 }
344 else if ('+' == *str)
345 {
346 str++;
347 }
348
349 while ('0' == *str)
350 {
351 str++;
352 }
353
354 while (isdigit(*str))
355 {
356 value = (value * 10L) + (*str - '0');
357 str++;
358 }
359
360 return value * sign;
361}
362
363
364/* Implementation of sin() and cos(),
365 adapted from http://lab.polygonal.de/2007/07/18/fast-and-accurate-sinecosine-approximation/
366*/
367
368float rb_sin(float rad)
369{
370 int cycles;
371
372 /* Trim input value to -PI..PI interval. */
373 if(rad > 3.14159265)
374 {
375 cycles = rad / 6.28318531;
376 rad -= (6.28318531 * (float) cycles);
377 }
378 else if(rad < -3.14159265)
379 {
380 cycles = rad / -6.28318531;
381 rad += (6.28318531 * (float) cycles);
382 }
383
384 if(rad < 0)
385 return (1.27323954 * rad + 0.405284735 * rad * rad);
386 else
387 return (1.27323954 * rad - 0.405284735 * rad * rad);
388}
389
390float rb_cos(float rad)
391{
392 /* Compute cosine: sin(x + PI/2) = cos(x) */
393 return rb_sin(rad + 1.57079632);
394}
395
396
397/* Emulation of fscanf(fd, "%f", (float*) xxx);
398 Basically a reimplementation of rb_strtod() above. */
399int rb_fscanf_f(int fd, float* f)
400{
401 #define FSCANF_F_BUFSIZE 64
402 char buf[FSCANF_F_BUFSIZE];
403
404 /* Read line from file. */
405 int bytes_read = rb->read_line(fd, buf, FSCANF_F_BUFSIZE-1);
406
407 /* Terminate string. */
408 if(bytes_read >= FSCANF_F_BUFSIZE)
409 buf[FSCANF_F_BUFSIZE-1] = '\0';
410 else
411 buf[bytes_read-1] = '\0';
412
413 /* Convert buffer to float. */
414 *f = rb_atof(buf);
415
416 /* If there was an error, no float was read. */
417 if(rb_errno)
418 return 0;
419
420 return 1;
421}
422
423/* Emulation of fprintf(fd, "%f\n", (float*) xxx); */
424int rb_fprintf_f(int fd, float f)
425{
426 #define FPRINTF_F_BUFSIZE 64
427 char buf[FPRINTF_F_BUFSIZE];
428 const char* next_line = "\n";
429
430 /* Convert float to string. */
431 rb_ftoan(f, buf, sizeof(buf)-1);
432
433 /* Add next line character. */
434 strcat(buf, next_line);
435
436 /* Write string into file. */
437 return write(fd, buf, strlen(buf));
438}
439
440
441/* Natural logarithm.
442 Taken from glibc-2.8 */
443static const float
444ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
445ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
446two25 = 3.355443200e+07, /* 0x4c000000 */
447Lg1 = 6.6666668653e-01, /* 3F2AAAAB */
448Lg2 = 4.0000000596e-01, /* 3ECCCCCD */
449Lg3 = 2.8571429849e-01, /* 3E924925 */
450Lg4 = 2.2222198546e-01, /* 3E638E29 */
451Lg5 = 1.8183572590e-01, /* 3E3A3325 */
452Lg6 = 1.5313838422e-01, /* 3E1CD04F */
453Lg7 = 1.4798198640e-01; /* 3E178897 */
454
455static const float zero = 0.0;
456
457/* A union which permits us to convert between a float and a 32 bit
458 int. */
459
460typedef union
461{
462 float value;
463 uint32_t word;
464} ieee_float_shape_type;
465
466/* Get a 32 bit int from a float. */
467
468#define GET_FLOAT_WORD(i,d) \
469do { \
470 ieee_float_shape_type gf_u; \
471 gf_u.value = (d); \
472 (i) = gf_u.word; \
473} while (0)
474
475/* Set a float from a 32 bit int. */
476
477#define SET_FLOAT_WORD(d,i) \
478do { \
479 ieee_float_shape_type sf_u; \
480 sf_u.word = (i); \
481 (d) = sf_u.value; \
482} while (0)
483
484
485float rb_log(float x)
486{
487 float hfsq, f, s, z, R, w, t1, t2, dk;
488 int32_t k, ix, i, j;
489
490 GET_FLOAT_WORD(ix,x);
491
492 k=0;
493 if (ix < 0x00800000) { /* x < 2**-126 */
494 if ((ix&0x7fffffff)==0)
495 return -two25/(x-x); /* log(+-0)=-inf */
496 if (ix<0) return (x-x)/(x-x); /* log(-#) = NaN */
497 k -= 25; x *= two25; /* subnormal number, scale up x */
498 GET_FLOAT_WORD(ix,x);
499 }
500 if (ix >= 0x7f800000) return x+x;
501 k += (ix>>23)-127;
502 ix &= 0x007fffff;
503 i = (ix+(0x95f64<<3))&0x800000;
504 SET_FLOAT_WORD(x,ix|(i^0x3f800000)); /* normalize x or x/2 */
505 k += (i>>23);
506 f = x-(float)1.0;
507 if((0x007fffff&(15+ix))<16) { /* |f| < 2**-20 */
508 if(f==zero) {
509 if(k==0)
510 return zero;
511 else
512 {
513 dk=(float)k;
514 return dk*ln2_hi+dk*ln2_lo;
515 }
516 }
517 R = f*f*((float)0.5-(float)0.33333333333333333*f);
518 if(k==0)
519 return f-R;
520 else
521 {
522 dk=(float)k;
523 return dk*ln2_hi-((R-dk*ln2_lo)-f);
524 }
525 }
526 s = f/((float)2.0+f);
527 dk = (float)k;
528 z = s*s;
529 i = ix-(0x6147a<<3);
530 w = z*z;
531 j = (0x6b851<<3)-ix;
532 t1= w*(Lg2+w*(Lg4+w*Lg6));
533 t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
534 i |= j;
535 R = t2+t1;
536 if(i>0) {
537 hfsq=(float)0.5*f*f;
538 if(k==0)
539 return f-(hfsq-s*(hfsq+R));
540 else
541 return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
542 } else {
543 if(k==0)
544 return f-s*(f-R);
545 else
546 return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
547 }
548}
549
550
551/* Logarithm for 10th base,
552 taken from glibc-2.8 */
553
554static const float
555ivln10 = 4.3429449201e-01, /* 0x3ede5bd9 */
556log10_2hi = 3.0102920532e-01, /* 0x3e9a2080 */
557log10_2lo = 7.9034151668e-07; /* 0x355427db */
558
559float rb_log10(float x)
560{
561 float y,z;
562 int32_t i,k,hx;
563
564 GET_FLOAT_WORD(hx,x);
565
566 k=0;
567 if (hx < 0x00800000) { /* x < 2**-126 */
568 if ((hx&0x7fffffff)==0)
569 return -two25/(x-x); /* log(+-0)=-inf */
570 if (hx<0) return (x-x)/(x-x); /* log(-#) = NaN */
571 k -= 25; x *= two25; /* subnormal number, scale up x */
572 GET_FLOAT_WORD(hx,x);
573 }
574 if (hx >= 0x7f800000) return x+x;
575 k += (hx>>23)-127;
576 i = ((uint32_t)k&0x80000000)>>31;
577 hx = (hx&0x007fffff)|((0x7f-i)<<23);
578 y = (float)(k+i);
579 SET_FLOAT_WORD(x,hx);
580 z = y*log10_2lo + ivln10*rb_log(x);
581 return z+y*log10_2hi;
582}
583
584
585/* Power function, taken from glibc-2.8 and dietlibc-0.32 */
586static const float
587huge = 1.0e+30,
588tiny = 1.0e-30,
589one = 1.0f;
590
591float rb_pow(float x, float y)
592{
593 unsigned int e;
594 float result;
595
596 /* Special cases 0^x */
597 if(x == 0.0f)
598 {
599 if(y > 0.0f)
600 return 0.0f;
601 else if(y == 0.0f)
602 return 1.0f;
603 else
604 return 1.0f / x;
605 }
606
607 /* Special case x^n where n is integer */
608 if(y == (int) (e = (int) y))
609 {
610 if((int) e < 0)
611 {
612 e = -e;
613 x = 1.0f / x;
614 }
615
616 result = 1.0f;
617
618 while(1)
619 {
620 if(e & 1)
621 result *= x;
622
623 if((e >>= 1) == 0)
624 break;
625
626 x *= x;
627 }
628
629 return result;
630 }
631
632 /* Normal case */
633 return rb_exp(rb_log(x) * y);
634}
635
636
637
638/* Square root function, original. */
639float rb_sqrt(float x)
640{
641 float z;
642 int32_t sign = (int)0x80000000;
643 int32_t ix,s,q,m,t,i;
644 uint32_t r;
645
646 GET_FLOAT_WORD(ix,x);
647
648 /* take care of Inf and NaN */
649 if((ix&0x7f800000)==0x7f800000) {
650 return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
651 sqrt(-inf)=sNaN */
652 }
653 /* take care of zero */
654 if(ix<=0) {
655 if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */
656 else if(ix<0)
657 return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
658 }
659 /* normalize x */
660 m = (ix>>23);
661 if(m==0) { /* subnormal x */
662 for(i=0;(ix&0x00800000)==0;i++) ix<<=1;
663 m -= i-1;
664 }
665 m -= 127; /* unbias exponent */
666 ix = (ix&0x007fffff)|0x00800000;
667 if(m&1) /* odd m, double x to make it even */
668 ix += ix;
669 m >>= 1; /* m = [m/2] */
670
671 /* generate sqrt(x) bit by bit */
672 ix += ix;
673 q = s = 0; /* q = sqrt(x) */
674 r = 0x01000000; /* r = moving bit from right to left */
675
676 while(r!=0) {
677 t = s+r;
678 if(t<=ix) {
679 s = t+r;
680 ix -= t;
681 q += r;
682 }
683 ix += ix;
684 r>>=1;
685 }
686
687 /* use floating add to find out rounding direction */
688 if(ix!=0) {
689 z = one-tiny; /* trigger inexact flag */
690 if (z>=one) {
691 z = one+tiny;
692 if (z>one)
693 q += 2;
694 else
695 q += (q&1);
696 }
697 }
698 ix = (q>>1)+0x3f000000;
699 ix += (m <<23);
700 SET_FLOAT_WORD(z,ix);
701 return z;
702}
703
704/* Absolute value, simple calculus */
705float rb_fabs(float x)
706{
707 return (x < 0.0f) ? -x : x;
708}
709
710/* Arc tangent,
711 taken from glibc-2.8. */
712
713static const float atanhi[] = {
714 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
715 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
716 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
717 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
718};
719
720static const float atanlo[] = {
721 5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
722 3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
723 3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
724 7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
725};
726
727static const float aT[] = {
728 3.3333334327e-01, /* 0x3eaaaaaa */
729 -2.0000000298e-01, /* 0xbe4ccccd */
730 1.4285714924e-01, /* 0x3e124925 */
731 -1.1111110449e-01, /* 0xbde38e38 */
732 9.0908870101e-02, /* 0x3dba2e6e */
733 -7.6918758452e-02, /* 0xbd9d8795 */
734 6.6610731184e-02, /* 0x3d886b35 */
735 -5.8335702866e-02, /* 0xbd6ef16b */
736 4.9768779427e-02, /* 0x3d4bda59 */
737 -3.6531571299e-02, /* 0xbd15a221 */
738 1.6285819933e-02, /* 0x3c8569d7 */
739};
740
741
742float rb_atan(float x)
743{
744 float w,s1,s2,z;
745 int32_t ix,hx,id;
746
747 GET_FLOAT_WORD(hx,x);
748 ix = hx&0x7fffffff;
749 if(ix>=0x50800000) { /* if |x| >= 2^34 */
750 if(ix>0x7f800000)
751 return x+x; /* NaN */
752 if(hx>0) return atanhi[3]+atanlo[3];
753 else return -atanhi[3]-atanlo[3];
754 } if (ix < 0x3ee00000) { /* |x| < 0.4375 */
755 if (ix < 0x31000000) { /* |x| < 2^-29 */
756 if(huge+x>one) return x; /* raise inexact */
757 }
758 id = -1;
759 } else {
760 x = rb_fabs(x);
761 if (ix < 0x3f980000) { /* |x| < 1.1875 */
762 if (ix < 0x3f300000) { /* 7/16 <=|x|<11/16 */
763 id = 0; x = ((float)2.0*x-one)/((float)2.0+x);
764 } else { /* 11/16<=|x|< 19/16 */
765 id = 1; x = (x-one)/(x+one);
766 }
767 } else {
768 if (ix < 0x401c0000) { /* |x| < 2.4375 */
769 id = 2; x = (x-(float)1.5)/(one+(float)1.5*x);
770 } else { /* 2.4375 <= |x| < 2^66 */
771 id = 3; x = -(float)1.0/x;
772 }
773 }}
774 /* end of argument reduction */
775 z = x*x;
776 w = z*z;
777 /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
778 s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
779 s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
780 if (id<0) return x - x*(s1+s2);
781 else {
782 z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
783 return (hx<0)? -z:z;
784 }
785}
786
787/* Arc tangent from two variables, original. */
788
789static const float
790pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
791pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
792pi = 3.1415927410e+00, /* 0x40490fdb */
793pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */
794
795float rb_atan2(float x, float y)
796{
797 float z;
798 int32_t k,m,hx,hy,ix,iy;
799
800 GET_FLOAT_WORD(hx,x);
801 ix = hx&0x7fffffff;
802 GET_FLOAT_WORD(hy,y);
803 iy = hy&0x7fffffff;
804 if((ix>0x7f800000)||
805 (iy>0x7f800000)) /* x or y is NaN */
806 return x+y;
807 if(hx==0x3f800000) return rb_atan(y); /* x=1.0 */
808 m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
809
810 /* when y = 0 */
811 if(iy==0) {
812 switch(m) {
813 case 0:
814 case 1: return y; /* atan(+-0,+anything)=+-0 */
815 case 2: return pi+tiny;/* atan(+0,-anything) = pi */
816 case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
817 }
818 }
819 /* when x = 0 */
820 if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
821
822 /* when x is INF */
823 if(ix==0x7f800000) {
824 if(iy==0x7f800000) {
825 switch(m) {
826 case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
827 case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
828 case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
829 case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
830 }
831 } else {
832 switch(m) {
833 case 0: return zero ; /* atan(+...,+INF) */
834 case 1: return -zero ; /* atan(-...,+INF) */
835 case 2: return pi+tiny ; /* atan(+...,-INF) */
836 case 3: return -pi-tiny ; /* atan(-...,-INF) */
837 }
838 }
839 }
840 /* when y is INF */
841 if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
842
843 /* compute y/x */
844 k = (iy-ix)>>23;
845 if(k > 60) z=pi_o_2+(float)0.5*pi_lo; /* |y/x| > 2**60 */
846 else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
847 else z=rb_atan(rb_fabs(y/x)); /* safe to do y/x */
848 switch (m) {
849 case 0: return z ; /* atan(+,+) */
850 case 1: {
851 uint32_t zh;
852 GET_FLOAT_WORD(zh,z);
853 SET_FLOAT_WORD(z,zh ^ 0x80000000);
854 }
855 return z ; /* atan(-,+) */
856 case 2: return pi-(z-pi_lo);/* atan(+,-) */
857 default: /* case 3 */
858 return (z-pi_lo)-pi;/* atan(-,-) */
859 }
860}
861
862
863/* Sine hyperbolic, taken from dietlibc-0.32 */
864float rb_sinh(float x)
865{
866 float y = rb_exp(x);
867 return (y - 1.0f / y) * 0.5f;
868}
869
870
871/* Tangent, simple calculus solution. */
872float rb_tan(float x)
873{
874 return rb_sin(x) / rb_cos(x);
875}
876
877
878
879/* Exponential function,
880 taken from glibc-2.8
881 As it uses double values and udefines some symbols,
882 it was moved to the end of the source code */
883
884#define W52 (2.22044605e-16)
885#define W55 (2.77555756e-17)
886#define W58 (3.46944695e-18)
887#define W59 (1.73472348e-18)
888#define W60 (8.67361738e-19)
889const float __exp_deltatable[178] = {
890 0*W60, 16558714*W60, -10672149*W59, 1441652*W60,
891 -15787963*W55, 462888*W60, 7291806*W60, 1698880*W60,
892 -14375103*W58, -2021016*W60, 728829*W60, -3759654*W60,
893 3202123*W60, -10916019*W58, -251570*W60, -1043086*W60,
894 8207536*W60, -409964*W60, -5993931*W60, -475500*W60,
895 2237522*W60, 324170*W60, -244117*W60, 32077*W60,
896 123907*W60, -1019734*W60, -143*W60, 813077*W60,
897 743345*W60, 462461*W60, 629794*W60, 2125066*W60,
898 -2339121*W60, -337951*W60, 9922067*W60, -648704*W60,
899 149407*W60, -2687209*W60, -631608*W60, 2128280*W60,
900 -4882082*W60, 2001360*W60, 175074*W60, 2923216*W60,
901 -538947*W60, -1212193*W60, -1920926*W60, -1080577*W60,
902 3690196*W60, 2643367*W60, 2911937*W60, 671455*W60,
903 -1128674*W60, 593282*W60, -5219347*W60, -1941490*W60,
904 11007953*W60, 239609*W60, -2969658*W60, -1183650*W60,
905 942998*W60, 699063*W60, 450569*W60, -329250*W60,
906 -7257875*W60, -312436*W60, 51626*W60, 555877*W60,
907 -641761*W60, 1565666*W60, 884327*W60, -10960035*W60,
908 -2004679*W60, -995793*W60, -2229051*W60, -146179*W60,
909 -510327*W60, 1453482*W60, -3778852*W60, -2238056*W60,
910 -4895983*W60, 3398883*W60, -252738*W60, 1230155*W60,
911 346918*W60, 1109352*W60, 268941*W60, -2930483*W60,
912 -1036263*W60, -1159280*W60, 1328176*W60, 2937642*W60,
913 -9371420*W60, -6902650*W60, -1419134*W60, 1442904*W60,
914 -1319056*W60, -16369*W60, 696555*W60, -279987*W60,
915 -7919763*W60, 252741*W60, 459711*W60, -1709645*W60,
916 354913*W60, 6025867*W60, -421460*W60, -853103*W60,
917 -338649*W60, 962151*W60, 955965*W60, 784419*W60,
918 -3633653*W60, 2277133*W60, -8847927*W52, 1223028*W60,
919 5907079*W60, 623167*W60, 5142888*W60, 2599099*W60,
920 1214280*W60, 4870359*W60, 593349*W60, -57705*W60,
921 7761209*W60, -5564097*W60, 2051261*W60, 6216869*W60,
922 4692163*W60, 601691*W60, -5264906*W60, 1077872*W60,
923 -3205949*W60, 1833082*W60, 2081746*W60, -987363*W60,
924 -1049535*W60, 2015244*W60, 874230*W60, 2168259*W60,
925 -1740124*W60, -10068269*W60, -18242*W60, -3013583*W60,
926 580601*W60, -2547161*W60, -535689*W60, 2220815*W60,
927 1285067*W60, 2806933*W60, -983086*W60, -1729097*W60,
928 -1162985*W60, -2561904*W60, 801988*W60, 244351*W60,
929 1441893*W60, -7517981*W60, 271781*W60, -15021588*W60,
930 -2341588*W60, -919198*W60, 1642232*W60, 4771771*W60,
931 -1220099*W60, -3062372*W60, 628624*W60, 1278114*W60,
932 13083513*W60, -10521925*W60, 3180310*W60, -1659307*W60,
933 3543773*W60, 2501203*W60, 4151*W60, -340748*W60,
934 -2285625*W60, 2495202*W60
935};
936
937const double __exp_atable[355] /* __attribute__((mode(DF))) */ = {
938 0.707722561055888932371, /* 0x0.b52d4e46605c27ffd */
939 0.709106182438804188967, /* 0x0.b587fb96f75097ffb */
940 0.710492508843861281234, /* 0x0.b5e2d649899167ffd */
941 0.711881545564593931623, /* 0x0.b63dde74d36bdfffe */
942 0.713273297897442870573, /* 0x0.b699142f945f87ffc */
943 0.714667771153751463236, /* 0x0.b6f477909c4ea0001 */
944 0.716064970655995725059, /* 0x0.b75008aec758f8004 */
945 0.717464901723956938193, /* 0x0.b7abc7a0eea7e0002 */
946 0.718867569715736398602, /* 0x0.b807b47e1586c7ff8 */
947 0.720272979947266023271, /* 0x0.b863cf5d10e380003 */
948 0.721681137825144314297, /* 0x0.b8c01855195c37ffb */
949 0.723092048691992950199, /* 0x0.b91c8f7d213740004 */
950 0.724505717938892290800, /* 0x0.b97934ec5002d0007 */
951 0.725922150953176470431, /* 0x0.b9d608b9c92ea7ffc */
952 0.727341353138962865022, /* 0x0.ba330afcc29e98003 */
953 0.728763329918453162104, /* 0x0.ba903bcc8618b7ffc */
954 0.730188086709957051568, /* 0x0.baed9b40591ba0000 */
955 0.731615628948127705309, /* 0x0.bb4b296f931e30002 */
956 0.733045962086486091436, /* 0x0.bba8e671a05617ff9 */
957 0.734479091556371366251, /* 0x0.bc06d25dd49568001 */
958 0.735915022857225542529, /* 0x0.bc64ed4bce8f6fff9 */
959 0.737353761441304711410, /* 0x0.bcc33752f915d7ff9 */
960 0.738795312814142124419, /* 0x0.bd21b08af98e78005 */
961 0.740239682467211168593, /* 0x0.bd80590b65e9a8000 */
962 0.741686875913991849885, /* 0x0.bddf30ebec4a10000 */
963 0.743136898669507939299, /* 0x0.be3e38443c84e0007 */
964 0.744589756269486091620, /* 0x0.be9d6f2c1d32a0002 */
965 0.746045454254026796384, /* 0x0.befcd5bb59baf8004 */
966 0.747503998175051087583, /* 0x0.bf5c6c09ca84c0003 */
967 0.748965393601880857739, /* 0x0.bfbc322f5b18b7ff8 */
968 0.750429646104262104698, /* 0x0.c01c2843f776fffff */
969 0.751896761271877989160, /* 0x0.c07c4e5fa18b88002 */
970 0.753366744698445112140, /* 0x0.c0dca49a5fb18fffd */
971 0.754839601988627206827, /* 0x0.c13d2b0c444db0005 */
972 0.756315338768691947122, /* 0x0.c19de1cd798578006 */
973 0.757793960659406629066, /* 0x0.c1fec8f623723fffd */
974 0.759275473314173443536, /* 0x0.c25fe09e8a0f47ff8 */
975 0.760759882363831851927, /* 0x0.c2c128dedc88f8000 */
976 0.762247193485956486805, /* 0x0.c322a1cf7d6e7fffa */
977 0.763737412354726363781, /* 0x0.c3844b88cb9347ffc */
978 0.765230544649828092739, /* 0x0.c3e626232bd8f7ffc */
979 0.766726596071518051729, /* 0x0.c44831b719bf18002 */
980 0.768225572321911687194, /* 0x0.c4aa6e5d12d078001 */
981 0.769727479119219348810, /* 0x0.c50cdc2da64a37ffb */
982 0.771232322196981678892, /* 0x0.c56f7b41744490001 */
983 0.772740107296721268087, /* 0x0.c5d24bb1259e70004 */
984 0.774250840160724651565, /* 0x0.c6354d95640dd0007 */
985 0.775764526565368872643, /* 0x0.c6988106fec447fff */
986 0.777281172269557396602, /* 0x0.c6fbe61eb1bd0ffff */
987 0.778800783068235302750, /* 0x0.c75f7cf560942fffc */
988 0.780323364758801041312, /* 0x0.c7c345a3f1983fffe */
989 0.781848923151573727006, /* 0x0.c8274043594cb0002 */
990 0.783377464064598849602, /* 0x0.c88b6cec94b3b7ff9 */
991 0.784908993312207869935, /* 0x0.c8efcbb89cba27ffe */
992 0.786443516765346961618, /* 0x0.c9545cc0a88c70003 */
993 0.787981040257604625744, /* 0x0.c9b9201dc643bfffa */
994 0.789521569657452682047, /* 0x0.ca1e15e92a5410007 */
995 0.791065110849462849192, /* 0x0.ca833e3c1ae510005 */
996 0.792611669712891875319, /* 0x0.cae8992fd84667ffd */
997 0.794161252150049179450, /* 0x0.cb4e26ddbc207fff8 */
998 0.795713864077794763584, /* 0x0.cbb3e75f301b60003 */
999 0.797269511407239561694, /* 0x0.cc19dacd978cd8002 */
1000 0.798828200086368567220, /* 0x0.cc8001427e55d7ffb */
1001 0.800389937624300440456, /* 0x0.cce65ade24d360006 */
1002 0.801954725261124767840, /* 0x0.cd4ce7a5de839fffb */
1003 0.803522573691593189330, /* 0x0.cdb3a7c79a678fffd */
1004 0.805093487311204114563, /* 0x0.ce1a9b563965ffffc */
1005 0.806667472122675088819, /* 0x0.ce81c26b838db8000 */
1006 0.808244534127439906441, /* 0x0.cee91d213f8428002 */
1007 0.809824679342317166307, /* 0x0.cf50ab9144d92fff9 */
1008 0.811407913793616542005, /* 0x0.cfb86dd5758c2ffff */
1009 0.812994243520784198882, /* 0x0.d0206407c20e20005 */
1010 0.814583674571603966162, /* 0x0.d0888e4223facfff9 */
1011 0.816176213022088536960, /* 0x0.d0f0ec9eb3f7c8002 */
1012 0.817771864936188586101, /* 0x0.d1597f377d6768002 */
1013 0.819370636400374108252, /* 0x0.d1c24626a46eafff8 */
1014 0.820972533518165570298, /* 0x0.d22b41865ff1e7ff9 */
1015 0.822577562404315121269, /* 0x0.d2947170f32ec7ff9 */
1016 0.824185729164559344159, /* 0x0.d2fdd60097795fff8 */
1017 0.825797039949601741075, /* 0x0.d3676f4fb796d0001 */
1018 0.827411500902565544264, /* 0x0.d3d13d78b5f68fffb */
1019 0.829029118181348834154, /* 0x0.d43b40960546d8001 */
1020 0.830649897953322891022, /* 0x0.d4a578c222a058000 */
1021 0.832273846408250750368, /* 0x0.d50fe617a3ba78005 */
1022 0.833900969738858188772, /* 0x0.d57a88b1218e90002 */
1023 0.835531274148056613016, /* 0x0.d5e560a94048f8006 */
1024 0.837164765846411529371, /* 0x0.d6506e1aac8078003 */
1025 0.838801451086016225394, /* 0x0.d6bbb1204074e0001 */
1026 0.840441336100884561780, /* 0x0.d72729d4c28518004 */
1027 0.842084427144139224814, /* 0x0.d792d8530e12b0001 */
1028 0.843730730487052604790, /* 0x0.d7febcb61273e7fff */
1029 0.845380252404570153833, /* 0x0.d86ad718c308dfff9 */
1030 0.847032999194574087728, /* 0x0.d8d727962c69d7fff */
1031 0.848688977161248581090, /* 0x0.d943ae49621ce7ffb */
1032 0.850348192619261200615, /* 0x0.d9b06b4d832ef8005 */
1033 0.852010651900976245816, /* 0x0.da1d5ebdc22220005 */
1034 0.853676361342631029337, /* 0x0.da8a88b555baa0006 */
1035 0.855345327311054837175, /* 0x0.daf7e94f965f98004 */
1036 0.857017556155879489641, /* 0x0.db6580a7c98f7fff8 */
1037 0.858693054267390953857, /* 0x0.dbd34ed9617befff8 */
1038 0.860371828028939855647, /* 0x0.dc4153ffc8b65fff9 */
1039 0.862053883854957292436, /* 0x0.dcaf90368bfca8004 */
1040 0.863739228154875360306, /* 0x0.dd1e0399328d87ffe */
1041 0.865427867361348468455, /* 0x0.dd8cae435d303fff9 */
1042 0.867119807911702289458, /* 0x0.ddfb9050b1cee8006 */
1043 0.868815056264353846599, /* 0x0.de6aa9dced8448001 */
1044 0.870513618890481399881, /* 0x0.ded9fb03db7320006 */
1045 0.872215502247877139094, /* 0x0.df4983e1380657ff8 */
1046 0.873920712852848668986, /* 0x0.dfb94490ffff77ffd */
1047 0.875629257204025623884, /* 0x0.e0293d2f1cb01fff9 */
1048 0.877341141814212965880, /* 0x0.e0996dd786fff0007 */
1049 0.879056373217612985183, /* 0x0.e109d6a64f5d57ffc */
1050 0.880774957955916648615, /* 0x0.e17a77b78e72a7ffe */
1051 0.882496902590150900078, /* 0x0.e1eb5127722cc7ff8 */
1052 0.884222213673356738383, /* 0x0.e25c63121fb0c8006 */
1053 0.885950897802399772740, /* 0x0.e2cdad93ec5340003 */
1054 0.887682961567391237685, /* 0x0.e33f30c925fb97ffb */
1055 0.889418411575228162725, /* 0x0.e3b0ecce2d05ffff9 */
1056 0.891157254447957902797, /* 0x0.e422e1bf727718006 */
1057 0.892899496816652704641, /* 0x0.e4950fb9713fc7ffe */
1058 0.894645145323828439008, /* 0x0.e50776d8b0e60fff8 */
1059 0.896394206626591749641, /* 0x0.e57a1739c8fadfffc */
1060 0.898146687421414902124, /* 0x0.e5ecf0f97c5798007 */
1061 0.899902594367530173098, /* 0x0.e660043464e378005 */
1062 0.901661934163603406867, /* 0x0.e6d3510747e150006 */
1063 0.903424713533971135418, /* 0x0.e746d78f06cd97ffd */
1064 0.905190939194458810123, /* 0x0.e7ba97e879c91fffc */
1065 0.906960617885092856864, /* 0x0.e82e92309390b0007 */
1066 0.908733756358986566306, /* 0x0.e8a2c6845544afffa */
1067 0.910510361377119825629, /* 0x0.e9173500c8abc7ff8 */
1068 0.912290439722343249336, /* 0x0.e98bddc30f98b0002 */
1069 0.914073998177417412765, /* 0x0.ea00c0e84bc4c7fff */
1070 0.915861043547953501680, /* 0x0.ea75de8db8094fffe */
1071 0.917651582652244779397, /* 0x0.eaeb36d09d3137ffe */
1072 0.919445622318405764159, /* 0x0.eb60c9ce4ed3dffff */
1073 0.921243169397334638073, /* 0x0.ebd697a43995b0007 */
1074 0.923044230737526172328, /* 0x0.ec4ca06fc7768fffa */
1075 0.924848813220121135342, /* 0x0.ecc2e44e865b6fffb */
1076 0.926656923710931002014, /* 0x0.ed39635df34e70006 */
1077 0.928468569126343790092, /* 0x0.edb01dbbc2f5b7ffa */
1078 0.930283756368834757725, /* 0x0.ee2713859aab57ffa */
1079 0.932102492359406786818, /* 0x0.ee9e44d9342870004 */
1080 0.933924784042873379360, /* 0x0.ef15b1d4635438005 */
1081 0.935750638358567643520, /* 0x0.ef8d5a94f60f50007 */
1082 0.937580062297704630580, /* 0x0.f0053f38f345cffff */
1083 0.939413062815381727516, /* 0x0.f07d5fde3a2d98001 */
1084 0.941249646905368053689, /* 0x0.f0f5bca2d481a8004 */
1085 0.943089821583810716806, /* 0x0.f16e55a4e497d7ffe */
1086 0.944933593864477061592, /* 0x0.f1e72b028a2827ffb */
1087 0.946780970781518460559, /* 0x0.f2603cd9fb5430001 */
1088 0.948631959382661205081, /* 0x0.f2d98b497d2a87ff9 */
1089 0.950486566729423554277, /* 0x0.f353166f63e3dffff */
1090 0.952344799896018723290, /* 0x0.f3ccde6a11ae37ffe */
1091 0.954206665969085765512, /* 0x0.f446e357f66120000 */
1092 0.956072172053890279009, /* 0x0.f4c12557964f0fff9 */
1093 0.957941325265908139014, /* 0x0.f53ba48781046fffb */
1094 0.959814132734539637840, /* 0x0.f5b66106555d07ffa */
1095 0.961690601603558903308, /* 0x0.f6315af2c2027fffc */
1096 0.963570739036113010927, /* 0x0.f6ac926b8aeb80004 */
1097 0.965454552202857141381, /* 0x0.f728078f7c5008002 */
1098 0.967342048278315158608, /* 0x0.f7a3ba7d66a908001 */
1099 0.969233234469444204768, /* 0x0.f81fab543e1897ffb */
1100 0.971128118008140250896, /* 0x0.f89bda33122c78007 */
1101 0.973026706099345495256, /* 0x0.f9184738d4cf97ff8 */
1102 0.974929006031422851235, /* 0x0.f994f284d3a5c0008 */
1103 0.976835024947348973265, /* 0x0.fa11dc35bc7820002 */
1104 0.978744770239899142285, /* 0x0.fa8f046b4fb7f8007 */
1105 0.980658249138918636210, /* 0x0.fb0c6b449ab1cfff9 */
1106 0.982575468959622777535, /* 0x0.fb8a10e1088fb7ffa */
1107 0.984496437054508843888, /* 0x0.fc07f5602d79afffc */
1108 0.986421160608523028820, /* 0x0.fc8618e0e55e47ffb */
1109 0.988349647107594098099, /* 0x0.fd047b83571b1fffa */
1110 0.990281903873210800357, /* 0x0.fd831d66f4c018002 */
1111 0.992217938695037382475, /* 0x0.fe01fead3320bfff8 */
1112 0.994157757657894713987, /* 0x0.fe811f703491e8006 */
1113 0.996101369488558541238, /* 0x0.ff007fd5744490005 */
1114 0.998048781093141101932, /* 0x0.ff801ffa9b9280007 */
1115 1.000000000000000000000, /* 0x1.00000000000000000 */
1116 1.001955033605393285965, /* 0x1.0080200565d29ffff */
1117 1.003913889319761887310, /* 0x1.0100802aa0e80fff0 */
1118 1.005876574715736104818, /* 0x1.01812090377240007 */
1119 1.007843096764807100351, /* 0x1.020201541aad7fff6 */
1120 1.009813464316352327214, /* 0x1.0283229c4c9820007 */
1121 1.011787683565730677817, /* 0x1.030484836910a000e */
1122 1.013765762469146736174, /* 0x1.0386272b9c077fffe */
1123 1.015747708536026694351, /* 0x1.04080ab526304fff0 */
1124 1.017733529475172815584, /* 0x1.048a2f412375ffff0 */
1125 1.019723232714418781378, /* 0x1.050c94ef7ad5e000a */
1126 1.021716825883923762690, /* 0x1.058f3be0f1c2d0004 */
1127 1.023714316605201180057, /* 0x1.06122436442e2000e */
1128 1.025715712440059545995, /* 0x1.06954e0fec63afff2 */
1129 1.027721021151397406936, /* 0x1.0718b98f41c92fff6 */
1130 1.029730250269221158939, /* 0x1.079c66d49bb2ffff1 */
1131 1.031743407506447551857, /* 0x1.082056011a9230009 */
1132 1.033760500517691527387, /* 0x1.08a487359ebd50002 */
1133 1.035781537016238873464, /* 0x1.0928fa93490d4fff3 */
1134 1.037806524719013578963, /* 0x1.09adb03b3e5b3000d */
1135 1.039835471338248051878, /* 0x1.0a32a84e9e5760004 */
1136 1.041868384612101516848, /* 0x1.0ab7e2eea5340ffff */
1137 1.043905272300907460835, /* 0x1.0b3d603ca784f0009 */
1138 1.045946142174331239262, /* 0x1.0bc3205a042060000 */
1139 1.047991002016745332165, /* 0x1.0c4923682a086fffe */
1140 1.050039859627715177527, /* 0x1.0ccf698898f3a000d */
1141 1.052092722826109660856, /* 0x1.0d55f2dce5d1dfffb */
1142 1.054149599440827866881, /* 0x1.0ddcbf86b09a5fff6 */
1143 1.056210497317612961855, /* 0x1.0e63cfa7abc97fffd */
1144 1.058275424318780855142, /* 0x1.0eeb23619c146fffb */
1145 1.060344388322010722446, /* 0x1.0f72bad65714bffff */
1146 1.062417397220589476718, /* 0x1.0ffa9627c38d30004 */
1147 1.064494458915699715017, /* 0x1.1082b577d0eef0003 */
1148 1.066575581342167566880, /* 0x1.110b18e893a90000a */
1149 1.068660772440545025953, /* 0x1.1193c09c267610006 */
1150 1.070750040138235936705, /* 0x1.121cacb4959befff6 */
1151 1.072843392435016474095, /* 0x1.12a5dd543cf36ffff */
1152 1.074940837302467588937, /* 0x1.132f529d59552000b */
1153 1.077042382749654914030, /* 0x1.13b90cb250d08fff5 */
1154 1.079148036789447484528, /* 0x1.14430bb58da3dfff9 */
1155 1.081257807444460983297, /* 0x1.14cd4fc984c4a000e */
1156 1.083371702785017154417, /* 0x1.1557d910df9c7000e */
1157 1.085489730853784307038, /* 0x1.15e2a7ae292d30002 */
1158 1.087611899742884524772, /* 0x1.166dbbc422d8c0004 */
1159 1.089738217537583819804, /* 0x1.16f9157586772ffff */
1160 1.091868692357631731528, /* 0x1.1784b4e533cacfff0 */
1161 1.094003332327482702577, /* 0x1.18109a360fc23fff2 */
1162 1.096142145591650907149, /* 0x1.189cc58b155a70008 */
1163 1.098285140311341168136, /* 0x1.1929370751ea50002 */
1164 1.100432324652149906842, /* 0x1.19b5eecdd79cefff0 */
1165 1.102583706811727015711, /* 0x1.1a42ed01dbdba000e */
1166 1.104739294993289488947, /* 0x1.1ad031c69a2eafff0 */
1167 1.106899097422573863281, /* 0x1.1b5dbd3f66e120003 */
1168 1.109063122341542140286, /* 0x1.1beb8f8fa8150000b */
1169 1.111231377994659874592, /* 0x1.1c79a8dac6ad0fff4 */
1170 1.113403872669181282605, /* 0x1.1d0809445a97ffffc */
1171 1.115580614653132185460, /* 0x1.1d96b0effc9db000e */
1172 1.117761612217810673898, /* 0x1.1e25a001332190000 */
1173 1.119946873713312474002, /* 0x1.1eb4d69bdb2a9fff1 */
1174 1.122136407473298902480, /* 0x1.1f4454e3bfae00006 */
1175 1.124330221845670330058, /* 0x1.1fd41afcbb48bfff8 */
1176 1.126528325196519908506, /* 0x1.2064290abc98c0001 */
1177 1.128730725913251964394, /* 0x1.20f47f31c9aa7000f */
1178 1.130937432396844410880, /* 0x1.21851d95f776dfff0 */
1179 1.133148453059692917203, /* 0x1.2216045b6784efffa */
1180 1.135363796355857157764, /* 0x1.22a733a6692ae0004 */
1181 1.137583470716100553249, /* 0x1.2338ab9b3221a0004 */
1182 1.139807484614418608939, /* 0x1.23ca6c5e27aadfff7 */
1183 1.142035846532929888057, /* 0x1.245c7613b7f6c0004 */
1184 1.144268564977221958089, /* 0x1.24eec8e06b035000c */
1185 1.146505648458203463465, /* 0x1.258164e8cea85fff8 */
1186 1.148747105501412235671, /* 0x1.26144a5180d380009 */
1187 1.150992944689175123667, /* 0x1.26a7793f5de2efffa */
1188 1.153243174560058870217, /* 0x1.273af1d712179000d */
1189 1.155497803703682491111, /* 0x1.27ceb43d81d42fff1 */
1190 1.157756840726344771440, /* 0x1.2862c097a3d29000c */
1191 1.160020294239811677834, /* 0x1.28f7170a74cf4fff1 */
1192 1.162288172883275239058, /* 0x1.298bb7bb0faed0004 */
1193 1.164560485298402170388, /* 0x1.2a20a2ce920dffff4 */
1194 1.166837240167474476460, /* 0x1.2ab5d86a4631ffff6 */
1195 1.169118446164539637555, /* 0x1.2b4b58b36d5220009 */
1196 1.171404112007080167155, /* 0x1.2be123cf786790002 */
1197 1.173694246390975415341, /* 0x1.2c7739e3c0aac000d */
1198 1.175988858069749065617, /* 0x1.2d0d9b15deb58fff6 */
1199 1.178287955789017793514, /* 0x1.2da4478b627040002 */
1200 1.180591548323240091978, /* 0x1.2e3b3f69fb794fffc */
1201 1.182899644456603782686, /* 0x1.2ed282d76421d0004 */
1202 1.185212252993012693694, /* 0x1.2f6a11f96c685fff3 */
1203 1.187529382762033236513, /* 0x1.3001ecf60082ffffa */
1204 1.189851042595508889847, /* 0x1.309a13f30f28a0004 */
1205 1.192177241354644978669, /* 0x1.31328716a758cfff7 */
1206 1.194507987909589896687, /* 0x1.31cb4686e1e85fffb */
1207 1.196843291137896336843, /* 0x1.32645269dfd04000a */
1208 1.199183159977805113226, /* 0x1.32fdaae604c39000f */
1209 1.201527603343041317132, /* 0x1.339750219980dfff3 */
1210 1.203876630171082595692, /* 0x1.3431424300e480007 */
1211 1.206230249419600664189, /* 0x1.34cb8170b3fee000e */
1212 1.208588470077065268869, /* 0x1.35660dd14dbd4fffc */
1213 1.210951301134513435915, /* 0x1.3600e78b6bdfc0005 */
1214 1.213318751604272271958, /* 0x1.369c0ec5c38ebfff2 */
1215 1.215690830512196507537, /* 0x1.373783a718d29000f */
1216 1.218067546930756250870, /* 0x1.37d3465662f480007 */
1217 1.220448909901335365929, /* 0x1.386f56fa770fe0008 */
1218 1.222834928513994334780, /* 0x1.390bb5ba5fc540004 */
1219 1.225225611877684750397, /* 0x1.39a862bd3c7a8fff3 */
1220 1.227620969111500981433, /* 0x1.3a455e2a37bcafffd */
1221 1.230021009336254911271, /* 0x1.3ae2a8287dfbefff6 */
1222 1.232425741726685064472, /* 0x1.3b8040df76f39fffa */
1223 1.234835175450728295084, /* 0x1.3c1e287682e48fff1 */
1224 1.237249319699482263931, /* 0x1.3cbc5f151b86bfff8 */
1225 1.239668183679933477545, /* 0x1.3d5ae4e2cc0a8000f */
1226 1.242091776620540377629, /* 0x1.3df9ba07373bf0006 */
1227 1.244520107762172811399, /* 0x1.3e98deaa0d8cafffe */
1228 1.246953186383919165383, /* 0x1.3f3852f32973efff0 */
1229 1.249391019292643401078, /* 0x1.3fd816ffc72b90001 */
1230 1.251833623164381181797, /* 0x1.40782b17863250005 */
1231 1.254280999953110153911, /* 0x1.41188f42caf400000 */
1232 1.256733161434815393410, /* 0x1.41b943b42945bfffd */
1233 1.259190116985283935980, /* 0x1.425a4893e5f10000a */
1234 1.261651875958665236542, /* 0x1.42fb9e0a2df4c0009 */
1235 1.264118447754797758244, /* 0x1.439d443f608c4fff9 */
1236 1.266589841787181258708, /* 0x1.443f3b5bebf850008 */
1237 1.269066067469190262045, /* 0x1.44e183883e561fff7 */
1238 1.271547134259576328224, /* 0x1.45841cecf7a7a0001 */
1239 1.274033051628237434048, /* 0x1.462707b2c43020009 */
1240 1.276523829025464573684, /* 0x1.46ca44023aa410007 */
1241 1.279019475999373156531, /* 0x1.476dd2045d46ffff0 */
1242 1.281520002043128991825, /* 0x1.4811b1e1f1f19000b */
1243 1.284025416692967214122, /* 0x1.48b5e3c3edd74fff4 */
1244 1.286535729509738823464, /* 0x1.495a67d3613c8fff7 */
1245 1.289050950070396384145, /* 0x1.49ff3e396e19d000b */
1246 1.291571087985403654081, /* 0x1.4aa4671f5b401fff1 */
1247 1.294096152842774794011, /* 0x1.4b49e2ae56d19000d */
1248 1.296626154297237043484, /* 0x1.4befb10fd84a3fff4 */
1249 1.299161101984141142272, /* 0x1.4c95d26d41d84fff8 */
1250 1.301701005575179204100, /* 0x1.4d3c46f01d9f0fff3 */
1251 1.304245874766450485904, /* 0x1.4de30ec21097d0003 */
1252 1.306795719266019562007, /* 0x1.4e8a2a0ccce3d0002 */
1253 1.309350548792467483458, /* 0x1.4f3198fa10346fff5 */
1254 1.311910373099227200545, /* 0x1.4fd95bb3be8cffffd */
1255 1.314475201942565174546, /* 0x1.50817263bf0e5fffb */
1256 1.317045045107389400535, /* 0x1.5129dd3418575000e */
1257 1.319619912422941299109, /* 0x1.51d29c4f01c54ffff */
1258 1.322199813675649204855, /* 0x1.527bafde83a310009 */
1259 1.324784758729532718739, /* 0x1.5325180cfb8b3fffd */
1260 1.327374757430096474625, /* 0x1.53ced504b2bd0fff4 */
1261 1.329969819671041886272, /* 0x1.5478e6f02775e0001 */
1262 1.332569955346704748651, /* 0x1.55234df9d8a59fff8 */
1263 1.335175174370685002822, /* 0x1.55ce0a4c5a6a9fff6 */
1264 1.337785486688218616860, /* 0x1.56791c1263abefff7 */
1265 1.340400902247843806217, /* 0x1.57248376aef21fffa */
1266 1.343021431036279800211, /* 0x1.57d040a420c0bfff3 */
1267 1.345647083048053138662, /* 0x1.587c53c5a630f0002 */
1268 1.348277868295411074918, /* 0x1.5928bd063fd7bfff9 */
1269 1.350913796821875845231, /* 0x1.59d57c9110ad60006 */
1270 1.353554878672557082439, /* 0x1.5a8292913d68cfffc */
1271 1.356201123929036356254, /* 0x1.5b2fff3212db00007 */
1272 1.358852542671913132777, /* 0x1.5bddc29edcc06fff3 */
1273 1.361509145047255398051, /* 0x1.5c8bdd032ed16000f */
1274 1.364170941142184734180, /* 0x1.5d3a4e8a5bf61fff4 */
1275 1.366837941171020309735, /* 0x1.5de9176042f1effff */
1276 1.369510155261156381121, /* 0x1.5e9837b062f4e0005 */
1277 1.372187593620959988833, /* 0x1.5f47afa69436cfff1 */
1278 1.374870266463378287715, /* 0x1.5ff77f6eb3f8cfffd */
1279 1.377558184010425845733, /* 0x1.60a7a734a9742fff9 */
1280 1.380251356531521533853, /* 0x1.6158272490016000c */
1281 1.382949794301995272203, /* 0x1.6208ff6a8978a000f */
1282 1.385653507605306700170, /* 0x1.62ba3032c0a280004 */
1283 1.388362506772382154503, /* 0x1.636bb9a994784000f */
1284 1.391076802081129493127, /* 0x1.641d9bfb29a7bfff6 */
1285 1.393796403973427855412, /* 0x1.64cfd7545928b0002 */
1286 1.396521322756352656542, /* 0x1.65826be167badfff8 */
1287 1.399251568859207761660, /* 0x1.663559cf20826000c */
1288 1.401987152677323100733, /* 0x1.66e8a14a29486fffc */
1289 1.404728084651919228815, /* 0x1.679c427f5a4b6000b */
1290 1.407474375243217723560, /* 0x1.68503d9ba0add000f */
1291 1.410226034922914983815, /* 0x1.690492cbf6303fff9 */
1292 1.412983074197955213304, /* 0x1.69b9423d7b548fff6 */
1293};
1294
1295/* All floating-point numbers can be put in one of these categories. */
1296enum
1297 {
1298 FP_NAN,
1299# define FP_NAN FP_NAN
1300 FP_INFINITE,
1301# define FP_INFINITE FP_INFINITE
1302 FP_ZERO,
1303# define FP_ZERO FP_ZERO
1304 FP_SUBNORMAL,
1305# define FP_SUBNORMAL FP_SUBNORMAL
1306 FP_NORMAL
1307# define FP_NORMAL FP_NORMAL
1308 };
1309
1310
1311int
1312__fpclassifyf (float x)
1313{
1314 uint32_t wx;
1315 int retval = FP_NORMAL;
1316
1317 GET_FLOAT_WORD (wx, x);
1318 wx &= 0x7fffffff;
1319 if (wx == 0)
1320 retval = FP_ZERO;
1321 else if (wx < 0x800000)
1322 retval = FP_SUBNORMAL;
1323 else if (wx >= 0x7f800000)
1324 retval = wx > 0x7f800000 ? FP_NAN : FP_INFINITE;
1325
1326 return retval;
1327}
1328
1329
1330int
1331__isinff (float x)
1332{
1333 int32_t ix,t;
1334 GET_FLOAT_WORD(ix,x);
1335 t = ix & 0x7fffffff;
1336 t ^= 0x7f800000;
1337 t |= -t;
1338 return ~(t >> 31) & (ix >> 30);
1339}
1340
1341/* Return nonzero value if arguments are unordered. */
1342# define fpclassify(x) \
1343 (sizeof (x) == sizeof (float) ? __fpclassifyf (x) : __fpclassifyf (x))
1344
1345# ifndef isunordered
1346# define isunordered(u, v) \
1347 (__extension__ \
1348 ({ __typeof__(u) __u = (u); __typeof__(v) __v = (v); \
1349 fpclassify (__u) == FP_NAN || fpclassify (__v) == FP_NAN; }))
1350# endif
1351
1352/* Return nonzero value if X is less than Y. */
1353# ifndef isless
1354# define isless(x, y) \
1355 (__extension__ \
1356 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
1357 !isunordered (__x, __y) && __x < __y; }))
1358# endif
1359
1360/* Return nonzero value if X is greater than Y. */
1361# ifndef isgreater
1362# define isgreater(x, y) \
1363 (__extension__ \
1364 ({ __typeof__(x) __x = (x); __typeof__(y) __y = (y); \
1365 !isunordered (__x, __y) && __x > __y; }))
1366# endif
1367
1368union ieee754_double
1369 {
1370 double d;
1371
1372 /* This is the IEEE 754 double-precision format. */
1373 struct
1374 {
1375#ifdef ROCKBOX_BIG_ENDIAN
1376 unsigned int negative:1;
1377 unsigned int exponent:11;
1378 /* Together these comprise the mantissa. */
1379 unsigned int mantissa0:20;
1380 unsigned int mantissa1:32;
1381#else /* ROCKBOX_LITTLE_ENDIAN */
1382 /* Together these comprise the mantissa. */
1383 unsigned int mantissa1:32;
1384 unsigned int mantissa0:20;
1385 unsigned int exponent:11;
1386 unsigned int negative:1;
1387#endif /* ROCKBOX_LITTLE_ENDIAN */
1388 } ieee;
1389
1390 /* This format makes it easier to see if a NaN is a signalling NaN. */
1391 struct
1392 {
1393#ifdef ROCKBOX_BIG_ENDIAN
1394 unsigned int negative:1;
1395 unsigned int exponent:11;
1396 unsigned int quiet_nan:1;
1397 /* Together these comprise the mantissa. */
1398 unsigned int mantissa0:19;
1399 unsigned int mantissa1:32;
1400#else /* ROCKBOX_LITTLE_ENDIAN */
1401 /* Together these comprise the mantissa. */
1402 unsigned int mantissa1:32;
1403 unsigned int mantissa0:19;
1404 unsigned int quiet_nan:1;
1405 unsigned int exponent:11;
1406 unsigned int negative:1;
1407#endif /* ROCKBOX_LITTLE_ENDIAN */
1408 } ieee_nan;
1409 };
1410
1411
1412static const volatile float TWOM100 = 7.88860905e-31;
1413static const volatile float TWO127 = 1.7014118346e+38;
1414
1415float rb_exp(float x)
1416{
1417 static const float himark = 88.72283935546875;
1418 static const float lomark = -103.972084045410;
1419 /* Check for usual case. */
1420 if (isless (x, himark) && isgreater (x, lomark))
1421 {
1422 static const float THREEp42 = 13194139533312.0;
1423 static const float THREEp22 = 12582912.0;
1424 /* 1/ln(2). */
1425#undef M_1_LN2
1426 static const float M_1_LN2 = 1.44269502163f;
1427 /* ln(2) */
1428#undef M_LN2
1429 static const double M_LN2 = .6931471805599452862;
1430
1431 int tval;
1432 double x22, t, result, dx;
1433 float n, delta;
1434 union ieee754_double ex2_u;
1435#ifndef ROCKBOX
1436 fenv_t oldenv;
1437
1438 feholdexcept (&oldenv);
1439#endif
1440
1441#ifdef FE_TONEAREST
1442 fesetround (FE_TONEAREST);
1443#endif
1444
1445 /* Calculate n. */
1446 n = x * M_1_LN2 + THREEp22;
1447 n -= THREEp22;
1448 dx = x - n*M_LN2;
1449
1450 /* Calculate t/512. */
1451 t = dx + THREEp42;
1452 t -= THREEp42;
1453 dx -= t;
1454
1455 /* Compute tval = t. */
1456 tval = (int) (t * 512.0);
1457
1458 if (t >= 0)
1459 delta = - __exp_deltatable[tval];
1460 else
1461 delta = __exp_deltatable[-tval];
1462
1463 /* Compute ex2 = 2^n e^(t/512+delta[t]). */
1464 ex2_u.d = __exp_atable[tval+177];
1465 ex2_u.ieee.exponent += (int) n;
1466
1467 /* Approximate e^(dx+delta) - 1, using a second-degree polynomial,
1468 with maximum error in [-2^-10-2^-28,2^-10+2^-28]
1469 less than 5e-11. */
1470 x22 = (0.5000000496709180453 * dx + 1.0000001192102037084) * dx + delta;
1471
1472 /* Return result. */
1473#ifndef ROCKBOX
1474 fesetenv (&oldenv);
1475#endif
1476
1477 result = x22 * ex2_u.d + ex2_u.d;
1478 return (float) result;
1479 }
1480 /* Exceptional cases: */
1481 else if (isless (x, himark))
1482 {
1483 if (__isinff (x))
1484 /* e^-inf == 0, with no error. */
1485 return 0;
1486 else
1487 /* Underflow */
1488 return TWOM100 * TWOM100;
1489 }
1490 else
1491 /* Return x, if x is a NaN or Inf; or overflow, otherwise. */
1492 return TWO127*x;
1493}
1494
1495
1496/* Division with rest, original. */
1497div_t div(int x, int y)
1498{
1499 div_t result;
1500
1501 result.quot = x / y;
1502 result.rem = x % y;
1503
1504 /* Addition from glibc-2.8: */
1505 if(x >= 0 && result.rem < 0)
1506 {
1507 result.quot += 1;
1508 result.rem -= y;
1509 }
1510
1511 return result;
1512}
1513
1514
1515/* Placeholder function. */
1516/* Originally defined in s_midi.c */
1517void sys_listmididevs(void)
1518{
1519}
1520
1521/* Placeholder function,
1522 as we do sleep in the core thread
1523 and not in the scheduler function. */
1524/* Originally defined in s_inter.c */
1525void sys_microsleep(int microsec)
1526{
1527 (void) microsec;
1528}
1529
1530/* Get running time in milliseconds. */
1531/* Originally defined in s_inter.c */
1532extern uint64_t runningtime;
1533t_time sys_getrealtime(void)
1534{
1535 return runningtime;
1536}
1537
1538/* Place holder, as we do no IPC. */
1539/* Originally defined in s_inter.c */
1540void glob_ping(void* dummy)
1541{
1542 (void) dummy;
1543}
1544
1545/* Call to quit. */
1546/* Originally defined in s_inter.c */
1547extern bool quit;
1548void glob_quit(void* dummy)
1549{
1550 (void) dummy;
1551
1552 static bool reentered = false;
1553
1554 if(!reentered)
1555 {
1556 reentered = true;
1557
1558 /* Close audio subsystem. */
1559 /* Will be done by the main program: sys_close_audio(); */
1560
1561 /* Stop main loop. */
1562 quit = true;
1563 }
1564}
1565
1566/* Open file. Originally in s_main.c */
1567void glob_evalfile(t_pd *ignore, t_symbol *name, t_symbol *dir);
1568void openit(const char *dirname, const char *filename)
1569{
1570 char* nameptr;
1571 char dirbuf[MAXPDSTRING];
1572
1573 /* Workaround: If the file resides in the root directory,
1574 add a trailing slash to prevent directory part
1575 of the filename from being removed -- W.B. */
1576 char ffilename[MAXPDSTRING];
1577 ffilename[0] = '/';
1578 ffilename[1] = '\0';
1579 strcat(ffilename, filename);
1580
1581 int fd = open_via_path(dirname, ffilename, "", dirbuf, &nameptr,
1582 MAXPDSTRING, 0);
1583 if (fd)
1584 {
1585 close (fd);
1586 glob_evalfile(0, gensym(nameptr), gensym(dirbuf));
1587 }
1588 else
1589 error("%s: can't open", filename);
1590}
1591
1592
1593/* Get current working directory. */
1594extern char* filename;
1595char* rb_getcwd(char* buf, ssize_t size)
1596{
1597 /* Initialize buffer. */
1598 buf[0] = '\0';
1599
1600 /* Search for the last slash. */
1601 char* end_of_dir = strrchr(filename, '/');
1602 int dirlen = end_of_dir - filename;
1603
1604 /* Check whether length of directory path is correct.
1605 If not, abort. */
1606 if(size < dirlen || dirlen == 0)
1607 return NULL;
1608
1609 /* Copy current working directory to buffer. */
1610 strncat(buf, filename, dirlen);
1611 return buf;
1612}
1613
1614
1615/* Execute instructions supplied on command-line.
1616 Basically a placeholder, because the only
1617 command line argument we get is the name of the .pd file. */
1618/* Originally defined in s_main.c */
1619extern t_namelist* sys_openlist;
1620void glob_initfromgui(void *dummy, t_symbol *s, int argc, t_atom *argv)
1621{
1622 t_namelist *nl;
1623 char cwd[MAXPDSTRING];
1624
1625 (void) dummy;
1626 (void) s;
1627 (void) argc;
1628 (void) argv;
1629
1630 /* Get current working directory. */
1631 rb_getcwd(cwd, MAXPDSTRING);
1632
1633 /* open patches specifies with "-open" args */
1634 for(nl = sys_openlist; nl; nl = nl->nl_next)
1635 openit(cwd, nl->nl_string);
1636
1637 namelist_free(sys_openlist);
1638 sys_openlist = 0;
1639}
1640
1641/* Fake GUI start. Originally in s_inter.c */
1642static int defaultfontshit[] = {
1643 8, 5, 9, 10, 6, 10, 12, 7, 13, 14, 9, 17, 16, 10, 19, 24, 15, 28,
1644 24, 15, 28};
1645extern t_binbuf* inbinbuf;
1646int sys_startgui(const char *guidir)
1647{
1648 unsigned int i;
1649 t_atom zz[23];
1650 char cmdbuf[4*MAXPDSTRING];
1651
1652 (void) guidir;
1653
1654 inbinbuf = binbuf_new();
1655
1656 if(!rb_getcwd(cmdbuf, MAXPDSTRING))
1657 strcpy(cmdbuf, ".");
1658
1659 SETSYMBOL(zz, gensym(cmdbuf));
1660 for (i = 1; i < 22; i++)
1661 SETFLOAT(zz + i, defaultfontshit[i-1]);
1662 SETFLOAT(zz+22,0);
1663 glob_initfromgui(0, 0, 23, zz);
1664
1665 return 0;
1666}
1667
1668/* Return default DAC block size. */
1669/* Originally defined in s_main.c */
1670int sys_getblksize(void)
1671{
1672 return (DEFDACBLKSIZE);
1673}
1674
1675/* Find library directory and set it. */
1676void sys_findlibdir(const char* filename)
1677{
1678 char sbuf[MAXPDSTRING];
1679
1680 (void) filename;
1681
1682 /* Make current working directory the system library directory. */
1683 rb_getcwd(sbuf, MAXPDSTRING);
1684 sys_libdir = gensym(sbuf);
1685}