blob: 8da343ca1019607e8664db70cb9d15db78ee575c [file] [log] [blame]
Stephen Hines5a470202013-05-29 15:36:18 -07001#include "rs_types.rsh"
2
3extern float2 __attribute__((overloadable)) convert_float2(int2 c);
4extern float3 __attribute__((overloadable)) convert_float3(int3 c);
5extern float4 __attribute__((overloadable)) convert_float4(int4 c);
6
7extern int2 __attribute__((overloadable)) convert_int2(float2 c);
8extern int3 __attribute__((overloadable)) convert_int3(float3 c);
9extern int4 __attribute__((overloadable)) convert_int4(float4 c);
10
11
12extern float __attribute__((overloadable)) fmin(float v, float v2);
13extern float2 __attribute__((overloadable)) fmin(float2 v, float v2);
14extern float3 __attribute__((overloadable)) fmin(float3 v, float v2);
15extern float4 __attribute__((overloadable)) fmin(float4 v, float v2);
16
17extern float __attribute__((overloadable)) fmax(float v, float v2);
18extern float2 __attribute__((overloadable)) fmax(float2 v, float v2);
19extern float3 __attribute__((overloadable)) fmax(float3 v, float v2);
20extern float4 __attribute__((overloadable)) fmax(float4 v, float v2);
21
22// Float ops, 6.11.2
23
24#define FN_FUNC_FN(fnc) \
25extern float2 __attribute__((overloadable)) fnc(float2 v) { \
26 float2 r; \
27 r.x = fnc(v.x); \
28 r.y = fnc(v.y); \
29 return r; \
30} \
31extern float3 __attribute__((overloadable)) fnc(float3 v) { \
32 float3 r; \
33 r.x = fnc(v.x); \
34 r.y = fnc(v.y); \
35 r.z = fnc(v.z); \
36 return r; \
37} \
38extern float4 __attribute__((overloadable)) fnc(float4 v) { \
39 float4 r; \
40 r.x = fnc(v.x); \
41 r.y = fnc(v.y); \
42 r.z = fnc(v.z); \
43 r.w = fnc(v.w); \
44 return r; \
45}
46
47#define IN_FUNC_FN(fnc) \
48extern int2 __attribute__((overloadable)) fnc(float2 v) { \
49 int2 r; \
50 r.x = fnc(v.x); \
51 r.y = fnc(v.y); \
52 return r; \
53} \
54extern int3 __attribute__((overloadable)) fnc(float3 v) { \
55 int3 r; \
56 r.x = fnc(v.x); \
57 r.y = fnc(v.y); \
58 r.z = fnc(v.z); \
59 return r; \
60} \
61extern int4 __attribute__((overloadable)) fnc(float4 v) { \
62 int4 r; \
63 r.x = fnc(v.x); \
64 r.y = fnc(v.y); \
65 r.z = fnc(v.z); \
66 r.w = fnc(v.w); \
67 return r; \
68}
69
70#define FN_FUNC_FN_FN(fnc) \
71extern float2 __attribute__((overloadable)) fnc(float2 v1, float2 v2) { \
72 float2 r; \
73 r.x = fnc(v1.x, v2.x); \
74 r.y = fnc(v1.y, v2.y); \
75 return r; \
76} \
77extern float3 __attribute__((overloadable)) fnc(float3 v1, float3 v2) { \
78 float3 r; \
79 r.x = fnc(v1.x, v2.x); \
80 r.y = fnc(v1.y, v2.y); \
81 r.z = fnc(v1.z, v2.z); \
82 return r; \
83} \
84extern float4 __attribute__((overloadable)) fnc(float4 v1, float4 v2) { \
85 float4 r; \
86 r.x = fnc(v1.x, v2.x); \
87 r.y = fnc(v1.y, v2.y); \
88 r.z = fnc(v1.z, v2.z); \
89 r.w = fnc(v1.w, v2.w); \
90 return r; \
91}
92
93#define FN_FUNC_FN_F(fnc) \
94extern float2 __attribute__((overloadable)) fnc(float2 v1, float v2) { \
95 float2 r; \
96 r.x = fnc(v1.x, v2); \
97 r.y = fnc(v1.y, v2); \
98 return r; \
99} \
100extern float3 __attribute__((overloadable)) fnc(float3 v1, float v2) { \
101 float3 r; \
102 r.x = fnc(v1.x, v2); \
103 r.y = fnc(v1.y, v2); \
104 r.z = fnc(v1.z, v2); \
105 return r; \
106} \
107extern float4 __attribute__((overloadable)) fnc(float4 v1, float v2) { \
108 float4 r; \
109 r.x = fnc(v1.x, v2); \
110 r.y = fnc(v1.y, v2); \
111 r.z = fnc(v1.z, v2); \
112 r.w = fnc(v1.w, v2); \
113 return r; \
114}
115
116#define FN_FUNC_FN_IN(fnc) \
117extern float2 __attribute__((overloadable)) fnc(float2 v1, int2 v2) { \
118 float2 r; \
119 r.x = fnc(v1.x, v2.x); \
120 r.y = fnc(v1.y, v2.y); \
121 return r; \
122} \
123extern float3 __attribute__((overloadable)) fnc(float3 v1, int3 v2) { \
124 float3 r; \
125 r.x = fnc(v1.x, v2.x); \
126 r.y = fnc(v1.y, v2.y); \
127 r.z = fnc(v1.z, v2.z); \
128 return r; \
129} \
130extern float4 __attribute__((overloadable)) fnc(float4 v1, int4 v2) { \
131 float4 r; \
132 r.x = fnc(v1.x, v2.x); \
133 r.y = fnc(v1.y, v2.y); \
134 r.z = fnc(v1.z, v2.z); \
135 r.w = fnc(v1.w, v2.w); \
136 return r; \
137}
138
139#define FN_FUNC_FN_I(fnc) \
140extern float2 __attribute__((overloadable)) fnc(float2 v1, int v2) { \
141 float2 r; \
142 r.x = fnc(v1.x, v2); \
143 r.y = fnc(v1.y, v2); \
144 return r; \
145} \
146extern float3 __attribute__((overloadable)) fnc(float3 v1, int v2) { \
147 float3 r; \
148 r.x = fnc(v1.x, v2); \
149 r.y = fnc(v1.y, v2); \
150 r.z = fnc(v1.z, v2); \
151 return r; \
152} \
153extern float4 __attribute__((overloadable)) fnc(float4 v1, int v2) { \
154 float4 r; \
155 r.x = fnc(v1.x, v2); \
156 r.y = fnc(v1.y, v2); \
157 r.z = fnc(v1.z, v2); \
158 r.w = fnc(v1.w, v2); \
159 return r; \
160}
161
162#define FN_FUNC_FN_PFN(fnc) \
163extern float2 __attribute__((overloadable)) \
164 fnc(float2 v1, float2 *v2) { \
165 float2 r; \
166 float t[2]; \
167 r.x = fnc(v1.x, &t[0]); \
168 r.y = fnc(v1.y, &t[1]); \
169 v2->x = t[0]; \
170 v2->y = t[1]; \
171 return r; \
172} \
173extern float3 __attribute__((overloadable)) \
174 fnc(float3 v1, float3 *v2) { \
175 float3 r; \
176 float t[3]; \
177 r.x = fnc(v1.x, &t[0]); \
178 r.y = fnc(v1.y, &t[1]); \
179 r.z = fnc(v1.z, &t[2]); \
180 v2->x = t[0]; \
181 v2->y = t[1]; \
182 v2->z = t[2]; \
183 return r; \
184} \
185extern float4 __attribute__((overloadable)) \
186 fnc(float4 v1, float4 *v2) { \
187 float4 r; \
188 float t[4]; \
189 r.x = fnc(v1.x, &t[0]); \
190 r.y = fnc(v1.y, &t[1]); \
191 r.z = fnc(v1.z, &t[2]); \
192 r.w = fnc(v1.w, &t[3]); \
193 v2->x = t[0]; \
194 v2->y = t[1]; \
195 v2->z = t[2]; \
196 v2->w = t[3]; \
197 return r; \
198}
199
200#define FN_FUNC_FN_PIN(fnc) \
201extern float2 __attribute__((overloadable)) fnc(float2 v1, int2 *v2) { \
202 float2 r; \
203 int t[2]; \
204 r.x = fnc(v1.x, &t[0]); \
205 r.y = fnc(v1.y, &t[1]); \
206 v2->x = t[0]; \
207 v2->y = t[1]; \
208 return r; \
209} \
210extern float3 __attribute__((overloadable)) fnc(float3 v1, int3 *v2) { \
211 float3 r; \
212 int t[3]; \
213 r.x = fnc(v1.x, &t[0]); \
214 r.y = fnc(v1.y, &t[1]); \
215 r.z = fnc(v1.z, &t[2]); \
216 v2->x = t[0]; \
217 v2->y = t[1]; \
218 v2->z = t[2]; \
219 return r; \
220} \
221extern float4 __attribute__((overloadable)) fnc(float4 v1, int4 *v2) { \
222 float4 r; \
223 int t[4]; \
224 r.x = fnc(v1.x, &t[0]); \
225 r.y = fnc(v1.y, &t[1]); \
226 r.z = fnc(v1.z, &t[2]); \
227 r.w = fnc(v1.w, &t[3]); \
228 v2->x = t[0]; \
229 v2->y = t[1]; \
230 v2->z = t[2]; \
231 v2->w = t[3]; \
232 return r; \
233}
234
235#define FN_FUNC_FN_FN_FN(fnc) \
236extern float2 __attribute__((overloadable)) \
237 fnc(float2 v1, float2 v2, float2 v3) { \
238 float2 r; \
239 r.x = fnc(v1.x, v2.x, v3.x); \
240 r.y = fnc(v1.y, v2.y, v3.y); \
241 return r; \
242} \
243extern float3 __attribute__((overloadable)) \
244 fnc(float3 v1, float3 v2, float3 v3) { \
245 float3 r; \
246 r.x = fnc(v1.x, v2.x, v3.x); \
247 r.y = fnc(v1.y, v2.y, v3.y); \
248 r.z = fnc(v1.z, v2.z, v3.z); \
249 return r; \
250} \
251extern float4 __attribute__((overloadable)) \
252 fnc(float4 v1, float4 v2, float4 v3) { \
253 float4 r; \
254 r.x = fnc(v1.x, v2.x, v3.x); \
255 r.y = fnc(v1.y, v2.y, v3.y); \
256 r.z = fnc(v1.z, v2.z, v3.z); \
257 r.w = fnc(v1.w, v2.w, v3.w); \
258 return r; \
259}
260
261#define FN_FUNC_FN_FN_PIN(fnc) \
262extern float2 __attribute__((overloadable)) \
263 fnc(float2 v1, float2 v2, int2 *v3) { \
264 float2 r; \
265 int t[2]; \
266 r.x = fnc(v1.x, v2.x, &t[0]); \
267 r.y = fnc(v1.y, v2.y, &t[1]); \
268 v3->x = t[0]; \
269 v3->y = t[1]; \
270 return r; \
271} \
272extern float3 __attribute__((overloadable)) \
273 fnc(float3 v1, float3 v2, int3 *v3) { \
274 float3 r; \
275 int t[3]; \
276 r.x = fnc(v1.x, v2.x, &t[0]); \
277 r.y = fnc(v1.y, v2.y, &t[1]); \
278 r.z = fnc(v1.z, v2.z, &t[2]); \
279 v3->x = t[0]; \
280 v3->y = t[1]; \
281 v3->z = t[2]; \
282 return r; \
283} \
284extern float4 __attribute__((overloadable)) \
285 fnc(float4 v1, float4 v2, int4 *v3) { \
286 float4 r; \
287 int t[4]; \
288 r.x = fnc(v1.x, v2.x, &t[0]); \
289 r.y = fnc(v1.y, v2.y, &t[1]); \
290 r.z = fnc(v1.z, v2.z, &t[2]); \
291 r.w = fnc(v1.w, v2.w, &t[3]); \
292 v3->x = t[0]; \
293 v3->y = t[1]; \
294 v3->z = t[2]; \
295 v3->w = t[3]; \
296 return r; \
297}
298
299static const int iposinf = 0x7f800000;
300static const int ineginf = 0xff800000;
301
302static const float posinf() {
303 float f = *((float*)&iposinf);
304 return f;
305}
306
307static const float neginf() {
308 float f = *((float*)&ineginf);
309 return f;
310}
311
312static bool isinf(float f) {
313 int i = *((int*)(void*)&f);
314 return (i == iposinf) || (i == ineginf);
315}
316
317static bool isnan(float f) {
318 int i = *((int*)(void*)&f);
319 return (((i & 0x7f800000) == 0x7f800000) && (i & 0x007fffff));
320}
321
322static bool isposzero(float f) {
323 int i = *((int*)(void*)&f);
324 return (i == 0x00000000);
325}
326
327static bool isnegzero(float f) {
328 int i = *((int*)(void*)&f);
329 return (i == 0x80000000);
330}
331
332static bool iszero(float f) {
333 return isposzero(f) || isnegzero(f);
334}
335
336
337extern float __attribute__((overloadable)) acos(float);
338FN_FUNC_FN(acos)
339
340extern float __attribute__((overloadable)) acosh(float);
341FN_FUNC_FN(acosh)
342
343
344extern float __attribute__((overloadable)) acospi(float v) {
345 return acos(v) / M_PI;
346}
347FN_FUNC_FN(acospi)
348
349extern float __attribute__((overloadable)) asin(float);
350FN_FUNC_FN(asin)
351
352extern float __attribute__((overloadable)) asinh(float);
353FN_FUNC_FN(asinh)
354
355extern float __attribute__((overloadable)) asinpi(float v) {
356 return asin(v) / M_PI;
357}
358FN_FUNC_FN(asinpi)
359
360extern float __attribute__((overloadable)) atan(float);
361FN_FUNC_FN(atan)
362
363extern float __attribute__((overloadable)) atan2(float, float);
364FN_FUNC_FN_FN(atan2)
365
366extern float __attribute__((overloadable)) atanh(float);
367FN_FUNC_FN(atanh)
368
369extern float __attribute__((overloadable)) atanpi(float v) {
370 return atan(v) / M_PI;
371}
372FN_FUNC_FN(atanpi)
373
374
375extern float __attribute__((overloadable)) atan2pi(float y, float x) {
376 return atan2(y, x) / M_PI;
377}
378FN_FUNC_FN_FN(atan2pi)
379
380extern float __attribute__((overloadable)) cbrt(float);
381FN_FUNC_FN(cbrt)
382
383extern float __attribute__((overloadable)) ceil(float);
384FN_FUNC_FN(ceil)
385
386extern float __attribute__((overloadable)) copysign(float, float);
387FN_FUNC_FN_FN(copysign)
388
389extern float __attribute__((overloadable)) cos(float);
390FN_FUNC_FN(cos)
391
392extern float __attribute__((overloadable)) cosh(float);
393FN_FUNC_FN(cosh)
394
395extern float __attribute__((overloadable)) cospi(float v) {
396 return cos(v * M_PI);
397}
398FN_FUNC_FN(cospi)
399
400extern float __attribute__((overloadable)) erfc(float);
401FN_FUNC_FN(erfc)
402
403extern float __attribute__((overloadable)) erf(float);
404FN_FUNC_FN(erf)
405
406extern float __attribute__((overloadable)) exp(float);
407FN_FUNC_FN(exp)
408
409extern float __attribute__((overloadable)) exp2(float);
410FN_FUNC_FN(exp2)
411
412extern float __attribute__((overloadable)) pow(float, float);
413
414extern float __attribute__((overloadable)) exp10(float v) {
415 return exp2(v * 3.321928095f);
416}
417FN_FUNC_FN(exp10)
418
419extern float __attribute__((overloadable)) expm1(float);
420FN_FUNC_FN(expm1)
421
422extern float __attribute__((overloadable)) fabs(float v) {
423 int i = *((int*)(void*)&v) & 0x7fffffff;
424 return *((float*)(void*)&i);
425}
426FN_FUNC_FN(fabs)
427
428extern float __attribute__((overloadable)) fdim(float, float);
429FN_FUNC_FN_FN(fdim)
430
431extern float __attribute__((overloadable)) floor(float);
432FN_FUNC_FN(floor)
433
434extern float __attribute__((overloadable)) fma(float, float, float);
435FN_FUNC_FN_FN_FN(fma)
436
437extern float __attribute__((overloadable)) fmin(float, float);
438
439extern float __attribute__((overloadable)) fmod(float, float);
440FN_FUNC_FN_FN(fmod)
441
442extern float __attribute__((overloadable)) fract(float v, float *iptr) {
443 int i = (int)floor(v);
444 if (iptr) {
445 iptr[0] = i;
446 }
447 return fmin(v - i, 0x1.fffffep-1f);
448}
449FN_FUNC_FN_PFN(fract)
450
451extern float __attribute__((overloadable)) frexp(float, int *);
452FN_FUNC_FN_PIN(frexp)
453
454extern float __attribute__((overloadable)) hypot(float, float);
455FN_FUNC_FN_FN(hypot)
456
457extern int __attribute__((overloadable)) ilogb(float);
458IN_FUNC_FN(ilogb)
459
460extern float __attribute__((overloadable)) ldexp(float, int);
461FN_FUNC_FN_IN(ldexp)
462FN_FUNC_FN_I(ldexp)
463
464extern float __attribute__((overloadable)) lgamma(float);
465FN_FUNC_FN(lgamma)
466extern float __attribute__((overloadable)) lgamma(float, int*);
467FN_FUNC_FN_PIN(lgamma)
468
469extern float __attribute__((overloadable)) log(float);
470FN_FUNC_FN(log)
471
472extern float __attribute__((overloadable)) log10(float);
473FN_FUNC_FN(log10)
474
475
476extern float __attribute__((overloadable)) log2(float v) {
477 return log10(v) * 3.321928095f;
478}
479FN_FUNC_FN(log2)
480
481extern float __attribute__((overloadable)) log1p(float);
482FN_FUNC_FN(log1p)
483
484extern float __attribute__((overloadable)) logb(float);
485FN_FUNC_FN(logb)
486
487extern float __attribute__((overloadable)) mad(float a, float b, float c) {
488 return a * b + c;
489}
490extern float2 __attribute__((overloadable)) mad(float2 a, float2 b, float2 c) {
491 return a * b + c;
492}
493extern float3 __attribute__((overloadable)) mad(float3 a, float3 b, float3 c) {
494 return a * b + c;
495}
496extern float4 __attribute__((overloadable)) mad(float4 a, float4 b, float4 c) {
497 return a * b + c;
498}
499
500extern float __attribute__((overloadable)) modf(float, float *);
501FN_FUNC_FN_PFN(modf);
502
503extern float __attribute__((overloadable)) nan(uint v) {
504 float f[1];
505 uint32_t *ip = (uint32_t *)f;
506 *ip = v | 0x7fc00000;
507 return f[0];
508}
509
510extern float __attribute__((overloadable)) nextafter(float, float);
511FN_FUNC_FN_FN(nextafter)
512
513FN_FUNC_FN_FN(pow)
514
515extern float __attribute__((overloadable)) pown(float v, int p) {
516 return pow(v, (float)p);
517}
518extern float2 __attribute__((overloadable)) pown(float2 v, int2 p) {
519 float2 f2 = convert_float2(p);
520 return pow(v, f2);
521}
522extern float3 __attribute__((overloadable)) pown(float3 v, int3 p) {
523 float3 f3 = convert_float3(p);
524 return pow(v, f3);
525}
526extern float4 __attribute__((overloadable)) pown(float4 v, int4 p) {
527 float4 f4 = convert_float4(p);
528 return pow(v, f4);
529}
530
531extern float __attribute__((overloadable)) powr(float v, float p) {
532 return pow(v, p);
533}
534extern float2 __attribute__((overloadable)) powr(float2 v, float2 p) {
535 return pow(v, p);
536}
537extern float3 __attribute__((overloadable)) powr(float3 v, float3 p) {
538 return pow(v, p);
539}
540extern float4 __attribute__((overloadable)) powr(float4 v, float4 p) {
541 return pow(v, p);
542}
543
544extern float __attribute__((overloadable)) remainder(float, float);
545FN_FUNC_FN_FN(remainder)
546
547extern float __attribute__((overloadable)) remquo(float, float, int *);
548FN_FUNC_FN_FN_PIN(remquo)
549
550extern float __attribute__((overloadable)) rint(float);
551FN_FUNC_FN(rint)
552
553extern float __attribute__((overloadable)) rootn(float v, int r) {
554 if (r == 0) {
555 return nan(0);
556 }
557
558 if (iszero(v)) {
559 if (r < 0) {
560 if (r & 1) {
561 return copysign(posinf(), v);
562 } else {
563 return posinf();
564 }
565 } else {
566 if (r & 1) {
567 return copysign(0.f, v);
568 } else {
569 return 0.f;
570 }
571 }
572 }
573
574 if (!isinf(v) && !isnan(v) && (v < 0.f)) {
575 if (r & 1) {
576 return (-1.f * pow(-1.f * v, 1.f / r));
577 } else {
578 return nan(0);
579 }
580 }
581
582 return pow(v, 1.f / r);
583}
584FN_FUNC_FN_IN(rootn);
585
586extern float __attribute__((overloadable)) round(float);
587FN_FUNC_FN(round)
588
589
590extern float __attribute__((overloadable)) sqrt(float);
591extern float __attribute__((overloadable)) rsqrt(float v) {
592 return 1.f / sqrt(v);
593}
Stephen Hines146e1382013-08-20 01:17:01 -0700594
Stephen Hines4da42502013-10-03 14:57:51 -0700595#if !defined(__i386__)
Stephen Hines146e1382013-08-20 01:17:01 -0700596FN_FUNC_FN(sqrt)
Stephen Hines4da42502013-10-03 14:57:51 -0700597#endif // !defined(__i386__)
Stephen Hines146e1382013-08-20 01:17:01 -0700598
Stephen Hines5a470202013-05-29 15:36:18 -0700599FN_FUNC_FN(rsqrt)
600
601extern float __attribute__((overloadable)) sin(float);
602FN_FUNC_FN(sin)
603
604extern float __attribute__((overloadable)) sincos(float v, float *cosptr) {
605 *cosptr = cos(v);
606 return sin(v);
607}
608extern float2 __attribute__((overloadable)) sincos(float2 v, float2 *cosptr) {
609 *cosptr = cos(v);
610 return sin(v);
611}
612extern float3 __attribute__((overloadable)) sincos(float3 v, float3 *cosptr) {
613 *cosptr = cos(v);
614 return sin(v);
615}
616extern float4 __attribute__((overloadable)) sincos(float4 v, float4 *cosptr) {
617 *cosptr = cos(v);
618 return sin(v);
619}
620
621extern float __attribute__((overloadable)) sinh(float);
622FN_FUNC_FN(sinh)
623
624extern float __attribute__((overloadable)) sinpi(float v) {
625 return sin(v * M_PI);
626}
627FN_FUNC_FN(sinpi)
628
629extern float __attribute__((overloadable)) tan(float);
630FN_FUNC_FN(tan)
631
632extern float __attribute__((overloadable)) tanh(float);
633FN_FUNC_FN(tanh)
634
635extern float __attribute__((overloadable)) tanpi(float v) {
636 return tan(v * M_PI);
637}
638FN_FUNC_FN(tanpi)
639
640
641extern float __attribute__((overloadable)) tgamma(float);
642FN_FUNC_FN(tgamma)
643
644extern float __attribute__((overloadable)) trunc(float);
645FN_FUNC_FN(trunc)
646
647// Int ops (partial), 6.11.3
648
649#define XN_FUNC_YN(typeout, fnc, typein) \
650extern typeout __attribute__((overloadable)) fnc(typein); \
651extern typeout##2 __attribute__((overloadable)) fnc(typein##2 v) { \
652 typeout##2 r; \
653 r.x = fnc(v.x); \
654 r.y = fnc(v.y); \
655 return r; \
656} \
657extern typeout##3 __attribute__((overloadable)) fnc(typein##3 v) { \
658 typeout##3 r; \
659 r.x = fnc(v.x); \
660 r.y = fnc(v.y); \
661 r.z = fnc(v.z); \
662 return r; \
663} \
664extern typeout##4 __attribute__((overloadable)) fnc(typein##4 v) { \
665 typeout##4 r; \
666 r.x = fnc(v.x); \
667 r.y = fnc(v.y); \
668 r.z = fnc(v.z); \
669 r.w = fnc(v.w); \
670 return r; \
671}
672
673
674#define UIN_FUNC_IN(fnc) \
675XN_FUNC_YN(uchar, fnc, char) \
676XN_FUNC_YN(ushort, fnc, short) \
677XN_FUNC_YN(uint, fnc, int)
678
679#define IN_FUNC_IN(fnc) \
680XN_FUNC_YN(uchar, fnc, uchar) \
681XN_FUNC_YN(char, fnc, char) \
682XN_FUNC_YN(ushort, fnc, ushort) \
683XN_FUNC_YN(short, fnc, short) \
684XN_FUNC_YN(uint, fnc, uint) \
685XN_FUNC_YN(int, fnc, int)
686
687
688#define XN_FUNC_XN_XN_BODY(type, fnc, body) \
689extern type __attribute__((overloadable)) \
690 fnc(type v1, type v2) { \
691 return body; \
692} \
693extern type##2 __attribute__((overloadable)) \
694 fnc(type##2 v1, type##2 v2) { \
695 type##2 r; \
696 r.x = fnc(v1.x, v2.x); \
697 r.y = fnc(v1.y, v2.y); \
698 return r; \
699} \
700extern type##3 __attribute__((overloadable)) \
701 fnc(type##3 v1, type##3 v2) { \
702 type##3 r; \
703 r.x = fnc(v1.x, v2.x); \
704 r.y = fnc(v1.y, v2.y); \
705 r.z = fnc(v1.z, v2.z); \
706 return r; \
707} \
708extern type##4 __attribute__((overloadable)) \
709 fnc(type##4 v1, type##4 v2) { \
710 type##4 r; \
711 r.x = fnc(v1.x, v2.x); \
712 r.y = fnc(v1.y, v2.y); \
713 r.z = fnc(v1.z, v2.z); \
714 r.w = fnc(v1.w, v2.w); \
715 return r; \
716}
717
718#define IN_FUNC_IN_IN_BODY(fnc, body) \
719XN_FUNC_XN_XN_BODY(uchar, fnc, body) \
720XN_FUNC_XN_XN_BODY(char, fnc, body) \
721XN_FUNC_XN_XN_BODY(ushort, fnc, body) \
722XN_FUNC_XN_XN_BODY(short, fnc, body) \
723XN_FUNC_XN_XN_BODY(uint, fnc, body) \
724XN_FUNC_XN_XN_BODY(int, fnc, body) \
725XN_FUNC_XN_XN_BODY(float, fnc, body)
726
727
728/**
729 * abs
730 */
731extern uint32_t __attribute__((overloadable)) abs(int32_t v) {
732 if (v < 0)
733 return -v;
734 return v;
735}
736extern uint16_t __attribute__((overloadable)) abs(int16_t v) {
737 if (v < 0)
738 return -v;
739 return v;
740}
741extern uint8_t __attribute__((overloadable)) abs(int8_t v) {
742 if (v < 0)
743 return -v;
744 return v;
745}
746
747/**
748 * clz
749 */
750extern uint32_t __attribute__((overloadable)) clz(uint32_t v) {
751 return __builtin_clz(v);
752}
753extern uint16_t __attribute__((overloadable)) clz(uint16_t v) {
754 return (uint16_t)__builtin_clz(v);
755}
756extern uint8_t __attribute__((overloadable)) clz(uint8_t v) {
757 return (uint8_t)__builtin_clz(v);
758}
759extern int32_t __attribute__((overloadable)) clz(int32_t v) {
760 return (int32_t)__builtin_clz((uint32_t)v);
761}
762extern int16_t __attribute__((overloadable)) clz(int16_t v) {
763 return (int16_t)__builtin_clz(v);
764}
765extern int8_t __attribute__((overloadable)) clz(int8_t v) {
766 return (int8_t)__builtin_clz(v);
767}
768
769
770UIN_FUNC_IN(abs)
771IN_FUNC_IN(clz)
772
773
774// 6.11.4
775
776
777extern float __attribute__((overloadable)) degrees(float radians) {
778 return radians * (180.f / M_PI);
779}
780extern float2 __attribute__((overloadable)) degrees(float2 radians) {
781 return radians * (180.f / M_PI);
782}
783extern float3 __attribute__((overloadable)) degrees(float3 radians) {
784 return radians * (180.f / M_PI);
785}
786extern float4 __attribute__((overloadable)) degrees(float4 radians) {
787 return radians * (180.f / M_PI);
788}
789
790extern float __attribute__((overloadable)) mix(float start, float stop, float amount) {
791 return start + (stop - start) * amount;
792}
793extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float2 amount) {
794 return start + (stop - start) * amount;
795}
796extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float3 amount) {
797 return start + (stop - start) * amount;
798}
799extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float4 amount) {
800 return start + (stop - start) * amount;
801}
802extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float amount) {
803 return start + (stop - start) * amount;
804}
805extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float amount) {
806 return start + (stop - start) * amount;
807}
808extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float amount) {
809 return start + (stop - start) * amount;
810}
811
812extern float __attribute__((overloadable)) radians(float degrees) {
813 return degrees * (M_PI / 180.f);
814}
815extern float2 __attribute__((overloadable)) radians(float2 degrees) {
816 return degrees * (M_PI / 180.f);
817}
818extern float3 __attribute__((overloadable)) radians(float3 degrees) {
819 return degrees * (M_PI / 180.f);
820}
821extern float4 __attribute__((overloadable)) radians(float4 degrees) {
822 return degrees * (M_PI / 180.f);
823}
824
825extern float __attribute__((overloadable)) step(float edge, float v) {
826 return (v < edge) ? 0.f : 1.f;
827}
828extern float2 __attribute__((overloadable)) step(float2 edge, float2 v) {
829 float2 r;
830 r.x = (v.x < edge.x) ? 0.f : 1.f;
831 r.y = (v.y < edge.y) ? 0.f : 1.f;
832 return r;
833}
834extern float3 __attribute__((overloadable)) step(float3 edge, float3 v) {
835 float3 r;
836 r.x = (v.x < edge.x) ? 0.f : 1.f;
837 r.y = (v.y < edge.y) ? 0.f : 1.f;
838 r.z = (v.z < edge.z) ? 0.f : 1.f;
839 return r;
840}
841extern float4 __attribute__((overloadable)) step(float4 edge, float4 v) {
842 float4 r;
843 r.x = (v.x < edge.x) ? 0.f : 1.f;
844 r.y = (v.y < edge.y) ? 0.f : 1.f;
845 r.z = (v.z < edge.z) ? 0.f : 1.f;
846 r.w = (v.w < edge.w) ? 0.f : 1.f;
847 return r;
848}
849extern float2 __attribute__((overloadable)) step(float2 edge, float v) {
850 float2 r;
851 r.x = (v < edge.x) ? 0.f : 1.f;
852 r.y = (v < edge.y) ? 0.f : 1.f;
853 return r;
854}
855extern float3 __attribute__((overloadable)) step(float3 edge, float v) {
856 float3 r;
857 r.x = (v < edge.x) ? 0.f : 1.f;
858 r.y = (v < edge.y) ? 0.f : 1.f;
859 r.z = (v < edge.z) ? 0.f : 1.f;
860 return r;
861}
862extern float4 __attribute__((overloadable)) step(float4 edge, float v) {
863 float4 r;
864 r.x = (v < edge.x) ? 0.f : 1.f;
865 r.y = (v < edge.y) ? 0.f : 1.f;
866 r.z = (v < edge.z) ? 0.f : 1.f;
867 r.w = (v < edge.w) ? 0.f : 1.f;
868 return r;
869}
870
871extern float __attribute__((overloadable)) smoothstep(float, float, float);
872extern float2 __attribute__((overloadable)) smoothstep(float2, float2, float2);
873extern float3 __attribute__((overloadable)) smoothstep(float3, float3, float3);
874extern float4 __attribute__((overloadable)) smoothstep(float4, float4, float4);
875extern float2 __attribute__((overloadable)) smoothstep(float, float, float2);
876extern float3 __attribute__((overloadable)) smoothstep(float, float, float3);
877extern float4 __attribute__((overloadable)) smoothstep(float, float, float4);
878
879extern float __attribute__((overloadable)) sign(float v) {
880 if (v > 0) return 1.f;
881 if (v < 0) return -1.f;
882 return v;
883}
884FN_FUNC_FN(sign)
885
886
887// 6.11.5
888extern float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs) {
889 float3 r;
890 r.x = lhs.y * rhs.z - lhs.z * rhs.y;
891 r.y = lhs.z * rhs.x - lhs.x * rhs.z;
892 r.z = lhs.x * rhs.y - lhs.y * rhs.x;
893 return r;
894}
895
896extern float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs) {
897 float4 r;
898 r.x = lhs.y * rhs.z - lhs.z * rhs.y;
899 r.y = lhs.z * rhs.x - lhs.x * rhs.z;
900 r.z = lhs.x * rhs.y - lhs.y * rhs.x;
901 r.w = 0.f;
902 return r;
903}
904
Stephen Hines4da42502013-10-03 14:57:51 -0700905#if !defined(__i386__)
Stephen Hines146e1382013-08-20 01:17:01 -0700906
907extern float __attribute__((overloadable)) dot(float lhs, float rhs) {
908 return lhs * rhs;
909}
910extern float __attribute__((overloadable)) dot(float2 lhs, float2 rhs) {
911 return lhs.x*rhs.x + lhs.y*rhs.y;
912}
913extern float __attribute__((overloadable)) dot(float3 lhs, float3 rhs) {
914 return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z;
915}
916extern float __attribute__((overloadable)) dot(float4 lhs, float4 rhs) {
917 return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z + lhs.w*rhs.w;
918}
919
920extern float __attribute__((overloadable)) length(float v) {
921 return fabs(v);
922}
923extern float __attribute__((overloadable)) length(float2 v) {
924 return sqrt(v.x*v.x + v.y*v.y);
925}
926extern float __attribute__((overloadable)) length(float3 v) {
927 return sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
928}
929extern float __attribute__((overloadable)) length(float4 v) {
930 return sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
931}
932
933#else
934
Stephen Hines5a470202013-05-29 15:36:18 -0700935extern float __attribute__((overloadable)) length(float v);
936extern float __attribute__((overloadable)) length(float2 v);
937extern float __attribute__((overloadable)) length(float3 v);
938extern float __attribute__((overloadable)) length(float4 v);
939
Stephen Hines146e1382013-08-20 01:17:01 -0700940#endif
941
Stephen Hines5a470202013-05-29 15:36:18 -0700942extern float __attribute__((overloadable)) distance(float lhs, float rhs) {
943 return length(lhs - rhs);
944}
945extern float __attribute__((overloadable)) distance(float2 lhs, float2 rhs) {
946 return length(lhs - rhs);
947}
948extern float __attribute__((overloadable)) distance(float3 lhs, float3 rhs) {
949 return length(lhs - rhs);
950}
951extern float __attribute__((overloadable)) distance(float4 lhs, float4 rhs) {
952 return length(lhs - rhs);
953}
954
955extern float __attribute__((overloadable)) normalize(float v) {
956 return 1.f;
957}
958extern float2 __attribute__((overloadable)) normalize(float2 v) {
959 return v / length(v);
960}
961extern float3 __attribute__((overloadable)) normalize(float3 v) {
962 return v / length(v);
963}
964extern float4 __attribute__((overloadable)) normalize(float4 v) {
965 return v / length(v);
966}
967
968extern float __attribute__((overloadable)) half_sqrt(float);
969
970extern float __attribute__((overloadable)) fast_length(float v) {
Stephen Hines582b3642013-06-01 09:58:24 -0700971 return fabs(v);
Stephen Hines5a470202013-05-29 15:36:18 -0700972}
973extern float __attribute__((overloadable)) fast_length(float2 v) {
974 return half_sqrt(v.x*v.x + v.y*v.y);
975}
976extern float __attribute__((overloadable)) fast_length(float3 v) {
977 return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
978}
979extern float __attribute__((overloadable)) fast_length(float4 v) {
980 return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
981}
982
983extern float __attribute__((overloadable)) fast_distance(float lhs, float rhs) {
984 return fast_length(lhs - rhs);
985}
986extern float __attribute__((overloadable)) fast_distance(float2 lhs, float2 rhs) {
987 return fast_length(lhs - rhs);
988}
989extern float __attribute__((overloadable)) fast_distance(float3 lhs, float3 rhs) {
990 return fast_length(lhs - rhs);
991}
992extern float __attribute__((overloadable)) fast_distance(float4 lhs, float4 rhs) {
993 return fast_length(lhs - rhs);
994}
995
996extern float __attribute__((overloadable)) half_rsqrt(float);
997
998extern float __attribute__((overloadable)) fast_normalize(float v) {
999 return 1.f;
1000}
1001extern float2 __attribute__((overloadable)) fast_normalize(float2 v) {
1002 return v * half_rsqrt(v.x*v.x + v.y*v.y);
1003}
1004extern float3 __attribute__((overloadable)) fast_normalize(float3 v) {
1005 return v * half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z);
1006}
1007extern float4 __attribute__((overloadable)) fast_normalize(float4 v) {
1008 return v * half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
1009}
1010
1011extern float __attribute__((overloadable)) half_recip(float);
1012
1013/*
1014extern float __attribute__((overloadable)) approx_atan(float x) {
1015 if (x == 0.f)
1016 return 0.f;
1017 if (x < 0.f)
1018 return -1.f * approx_atan(-1.f * x);
1019 if (x > 1.f)
1020 return M_PI_2 - approx_atan(approx_recip(x));
1021 return x * approx_recip(1.f + 0.28f * x*x);
1022}
1023FN_FUNC_FN(approx_atan)
1024*/
1025
1026typedef union
1027{
1028 float fv;
1029 int32_t iv;
1030} ieee_float_shape_type;
1031
1032/* Get a 32 bit int from a float. */
1033
1034#define GET_FLOAT_WORD(i,d) \
1035do { \
1036 ieee_float_shape_type gf_u; \
1037 gf_u.fv = (d); \
1038 (i) = gf_u.iv; \
1039} while (0)
1040
1041/* Set a float from a 32 bit int. */
1042
1043#define SET_FLOAT_WORD(d,i) \
1044do { \
1045 ieee_float_shape_type sf_u; \
1046 sf_u.iv = (i); \
1047 (d) = sf_u.fv; \
1048} while (0)
1049
1050
1051
1052// Valid -125 to 125
1053extern float __attribute__((overloadable)) native_exp2(float v) {
1054 int32_t iv = (int)v;
1055 int32_t x = iv + (iv >> 31); // ~floor(v)
1056 float r = (v - x);
1057
1058 float fo;
1059 SET_FLOAT_WORD(fo, (x + 127) << 23);
1060
1061 r *= 0.694f; // ~ log(e) / log(2)
1062 float r2 = r*r;
1063 float adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1064 return fo * adj;
1065}
1066
1067extern float2 __attribute__((overloadable)) native_exp2(float2 v) {
1068 int2 iv = convert_int2(v);
1069 int2 x = iv + (iv >> (int2)31);//floor(v);
1070 float2 r = (v - convert_float2(x));
1071
1072 x += 127;
1073
1074 float2 fo = (float2)(x << (int2)23);
1075
1076 r *= 0.694f; // ~ log(e) / log(2)
1077 float2 r2 = r*r;
1078 float2 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1079 return fo * adj;
1080}
1081
1082extern float4 __attribute__((overloadable)) native_exp2(float4 v) {
1083 int4 iv = convert_int4(v);
1084 int4 x = iv + (iv >> (int4)31);//floor(v);
1085 float4 r = (v - convert_float4(x));
1086
1087 x += 127;
1088
1089 float4 fo = (float4)(x << (int4)23);
1090
1091 r *= 0.694f; // ~ log(e) / log(2)
1092 float4 r2 = r*r;
1093 float4 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1094 return fo * adj;
1095}
1096
1097extern float3 __attribute__((overloadable)) native_exp2(float3 v) {
1098 float4 t = 1.f;
1099 t.xyz = v;
1100 return native_exp2(t).xyz;
1101}
1102
1103
1104extern float __attribute__((overloadable)) native_exp(float v) {
1105 return native_exp2(v * 1.442695041f);
1106}
1107extern float2 __attribute__((overloadable)) native_exp(float2 v) {
1108 return native_exp2(v * 1.442695041f);
1109}
1110extern float3 __attribute__((overloadable)) native_exp(float3 v) {
1111 return native_exp2(v * 1.442695041f);
1112}
1113extern float4 __attribute__((overloadable)) native_exp(float4 v) {
1114 return native_exp2(v * 1.442695041f);
1115}
1116
1117extern float __attribute__((overloadable)) native_exp10(float v) {
1118 return native_exp2(v * 3.321928095f);
1119}
1120extern float2 __attribute__((overloadable)) native_exp10(float2 v) {
1121 return native_exp2(v * 3.321928095f);
1122}
1123extern float3 __attribute__((overloadable)) native_exp10(float3 v) {
1124 return native_exp2(v * 3.321928095f);
1125}
1126extern float4 __attribute__((overloadable)) native_exp10(float4 v) {
1127 return native_exp2(v * 3.321928095f);
1128}
1129
1130extern float __attribute__((overloadable)) native_log2(float v) {
1131 int32_t ibits;
1132 GET_FLOAT_WORD(ibits, v);
1133
1134 int32_t e = (ibits >> 23) & 0xff;
1135
1136 ibits &= 0x7fffff;
1137 ibits |= 127 << 23;
1138
1139 float ir;
1140 SET_FLOAT_WORD(ir, ibits);
1141
1142 ir -= 1.5f;
1143 float ir2 = ir*ir;
1144 float adj2 = 0.405465108f + // -0.00009f +
1145 (0.666666667f * ir) -
1146 (0.222222222f * ir2) +
1147 (0.098765432f * ir*ir2) -
1148 (0.049382716f * ir2*ir2) +
1149 (0.026337449f * ir*ir2*ir2) -
1150 (0.014631916f * ir2*ir2*ir2);
1151 adj2 *= (1.f / 0.693147181f);
1152
1153 return (float)(e - 127) + adj2;
1154}
1155extern float2 __attribute__((overloadable)) native_log2(float2 v) {
1156 float2 v2 = {native_log2(v.x), native_log2(v.y)};
1157 return v2;
1158}
1159extern float3 __attribute__((overloadable)) native_log2(float3 v) {
1160 float3 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z)};
1161 return v2;
1162}
1163extern float4 __attribute__((overloadable)) native_log2(float4 v) {
1164 float4 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z), native_log2(v.w)};
1165 return v2;
1166}
1167
1168extern float __attribute__((overloadable)) native_log(float v) {
1169 return native_log2(v) * (1.f / 1.442695041f);
1170}
1171extern float2 __attribute__((overloadable)) native_log(float2 v) {
1172 return native_log2(v) * (1.f / 1.442695041f);
1173}
1174extern float3 __attribute__((overloadable)) native_log(float3 v) {
1175 return native_log2(v) * (1.f / 1.442695041f);
1176}
1177extern float4 __attribute__((overloadable)) native_log(float4 v) {
1178 return native_log2(v) * (1.f / 1.442695041f);
1179}
1180
1181extern float __attribute__((overloadable)) native_log10(float v) {
1182 return native_log2(v) * (1.f / 3.321928095f);
1183}
1184extern float2 __attribute__((overloadable)) native_log10(float2 v) {
1185 return native_log2(v) * (1.f / 3.321928095f);
1186}
1187extern float3 __attribute__((overloadable)) native_log10(float3 v) {
1188 return native_log2(v) * (1.f / 3.321928095f);
1189}
1190extern float4 __attribute__((overloadable)) native_log10(float4 v) {
1191 return native_log2(v) * (1.f / 3.321928095f);
1192}
1193
1194
1195extern float __attribute__((overloadable)) native_powr(float v, float y) {
1196 float v2 = native_log2(v);
1197 v2 = fmax(v2, -125.f);
1198 return native_exp2(v2 * y);
1199}
1200extern float2 __attribute__((overloadable)) native_powr(float2 v, float2 y) {
1201 float2 v2 = native_log2(v);
1202 v2 = fmax(v2, -125.f);
1203 return native_exp2(v2 * y);
1204}
1205extern float3 __attribute__((overloadable)) native_powr(float3 v, float3 y) {
1206 float3 v2 = native_log2(v);
1207 v2 = fmax(v2, -125.f);
1208 return native_exp2(v2 * y);
1209}
1210extern float4 __attribute__((overloadable)) native_powr(float4 v, float4 y) {
1211 float4 v2 = native_log2(v);
1212 v2 = fmax(v2, -125.f);
1213 return native_exp2(v2 * y);
1214}
1215
1216
1217#undef FN_FUNC_FN
1218#undef IN_FUNC_FN
1219#undef FN_FUNC_FN_FN
1220#undef FN_FUNC_FN_F
1221#undef FN_FUNC_FN_IN
1222#undef FN_FUNC_FN_I
1223#undef FN_FUNC_FN_PFN
1224#undef FN_FUNC_FN_PIN
1225#undef FN_FUNC_FN_FN_FN
1226#undef FN_FUNC_FN_FN_PIN
1227#undef XN_FUNC_YN
1228#undef UIN_FUNC_IN
1229#undef IN_FUNC_IN
1230#undef XN_FUNC_XN_XN_BODY
1231#undef IN_FUNC_IN_IN_BODY