rs_cl.c revision e0f52d61fe6790093ef19c734dda2e2c9c0c0fbf
1#include "rs_core.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)) SC_acosf(float);
338float __attribute__((overloadable)) acos(float v) {
339    return SC_acosf(v);
340}
341FN_FUNC_FN(acos)
342
343extern float __attribute__((overloadable)) SC_acoshf(float);
344float __attribute__((overloadable)) acosh(float v) {
345    return SC_acoshf(v);
346}
347FN_FUNC_FN(acosh)
348
349
350extern float __attribute__((overloadable)) acospi(float v) {
351    return acos(v) / M_PI;
352}
353FN_FUNC_FN(acospi)
354
355extern float __attribute__((overloadable)) SC_asinf(float);
356float __attribute__((overloadable)) asin(float v) {
357    return SC_asinf(v);
358}
359FN_FUNC_FN(asin)
360
361extern float __attribute__((overloadable)) SC_asinhf(float);
362float __attribute__((overloadable)) asinh(float v) {
363    return SC_asinhf(v);
364}
365FN_FUNC_FN(asinh)
366
367extern float __attribute__((overloadable)) asinpi(float v) {
368    return asin(v) / M_PI;
369}
370FN_FUNC_FN(asinpi)
371
372extern float __attribute__((overloadable)) SC_atanf(float);
373float __attribute__((overloadable)) atan(float v) {
374    return SC_atanf(v);
375}
376FN_FUNC_FN(atan)
377
378extern float __attribute__((overloadable)) SC_atan2f(float, float);
379float __attribute__((overloadable)) atan2(float v1, float v2) {
380    return SC_atan2f(v1, v2);
381}
382FN_FUNC_FN_FN(atan2)
383
384extern float __attribute__((overloadable)) SC_atanhf(float);
385float __attribute__((overloadable)) atanh(float v) {
386    return SC_atanhf(v);
387}
388FN_FUNC_FN(atanh)
389
390extern float __attribute__((overloadable)) atanpi(float v) {
391    return atan(v) / M_PI;
392}
393FN_FUNC_FN(atanpi)
394
395
396extern float __attribute__((overloadable)) atan2pi(float y, float x) {
397    return atan2(y, x) / M_PI;
398}
399FN_FUNC_FN_FN(atan2pi)
400
401extern float __attribute__((overloadable)) SC_cbrtf(float);
402float __attribute__((overloadable)) cbrt(float v) {
403    return SC_cbrtf(v);
404}
405FN_FUNC_FN(cbrt)
406
407extern float __attribute__((overloadable)) SC_ceilf(float);
408float __attribute__((overloadable)) ceil(float v) {
409    return SC_ceilf(v);
410}
411FN_FUNC_FN(ceil)
412
413extern float __attribute__((overloadable)) SC_copysignf(float, float);
414float __attribute__((overloadable)) copysign(float v1, float v2) {
415    return SC_copysignf(v1, v2);
416}
417FN_FUNC_FN_FN(copysign)
418
419extern float __attribute__((overloadable)) SC_cosf(float);
420float __attribute__((overloadable)) cos(float v) {
421    return SC_cosf(v);
422}
423FN_FUNC_FN(cos)
424
425extern float __attribute__((overloadable)) SC_coshf(float);
426float __attribute__((overloadable)) cosh(float v) {
427    return SC_coshf(v);
428}
429FN_FUNC_FN(cosh)
430
431extern float __attribute__((overloadable)) cospi(float v) {
432    return cos(v * M_PI);
433}
434FN_FUNC_FN(cospi)
435
436extern float __attribute__((overloadable)) SC_erfcf(float);
437float __attribute__((overloadable)) erfc(float v) {
438    return SC_erfcf(v);
439}
440FN_FUNC_FN(erfc)
441
442extern float __attribute__((overloadable)) SC_erff(float);
443float __attribute__((overloadable)) erf(float v) {
444    return SC_erff(v);
445}
446FN_FUNC_FN(erf)
447
448extern float __attribute__((overloadable)) SC_expf(float);
449float __attribute__((overloadable)) exp(float v) {
450    return SC_expf(v);
451}
452FN_FUNC_FN(exp)
453
454extern float __attribute__((overloadable)) SC_exp2f(float);
455float __attribute__((overloadable)) exp2(float v) {
456    return SC_exp2f(v);
457}
458FN_FUNC_FN(exp2)
459
460extern float __attribute__((overloadable)) pow(float, float);
461
462extern float __attribute__((overloadable)) exp10(float v) {
463    return exp2(v * 3.321928095f);
464}
465FN_FUNC_FN(exp10)
466
467extern float __attribute__((overloadable)) SC_expm1f(float);
468float __attribute__((overloadable)) expm1(float v) {
469    return SC_expm1f(v);
470}
471FN_FUNC_FN(expm1)
472
473extern float __attribute__((overloadable)) fabs(float v) {
474    int i = *((int*)(void*)&v) & 0x7fffffff;
475    return  *((float*)(void*)&i);
476}
477FN_FUNC_FN(fabs)
478
479extern float __attribute__((overloadable)) SC_fdimf(float, float);
480float __attribute__((overloadable)) fdim(float v1, float v2) {
481    return SC_fdimf(v1, v2);
482}
483FN_FUNC_FN_FN(fdim)
484
485extern float __attribute__((overloadable)) SC_floorf(float);
486float __attribute__((overloadable)) floor(float v) {
487    return SC_floorf(v);
488}
489FN_FUNC_FN(floor)
490
491extern float __attribute__((overloadable)) SC_fmaf(float, float, float);
492float __attribute__((overloadable)) fma(float v1, float v2, float v3) {
493    return SC_fmaf(v1, v2, v3);
494}
495FN_FUNC_FN_FN_FN(fma)
496
497extern float __attribute__((overloadable)) SC_fminf(float, float);
498
499extern float __attribute__((overloadable)) SC_fmodf(float, float);
500float __attribute__((overloadable)) fmod(float v1, float v2) {
501    return SC_fmodf(v1, v2);
502}
503FN_FUNC_FN_FN(fmod)
504
505extern float __attribute__((overloadable)) fract(float v, float *iptr) {
506    int i = (int)floor(v);
507    if (iptr) {
508        iptr[0] = i;
509    }
510    return fmin(v - i, 0x1.fffffep-1f);
511}
512FN_FUNC_FN_PFN(fract)
513
514extern float __attribute__((const, overloadable)) fract(float v) {
515    float unused;
516    return fract(v, &unused);
517}
518FN_FUNC_FN(fract)
519
520extern float __attribute__((overloadable)) SC_frexpf(float, int *);
521float __attribute__((overloadable)) frexp(float v1, int* v2) {
522    return SC_frexpf(v1, v2);
523}
524FN_FUNC_FN_PIN(frexp)
525
526extern float __attribute__((overloadable)) SC_hypotf(float, float);
527float __attribute__((overloadable)) hypot(float v1, float v2) {
528    return SC_hypotf(v1, v2);
529}
530FN_FUNC_FN_FN(hypot)
531
532extern int __attribute__((overloadable)) SC_ilogbf(float);
533int __attribute__((overloadable)) ilogb(float v) {
534    return SC_ilogbf(v);
535}
536IN_FUNC_FN(ilogb)
537
538extern float __attribute__((overloadable)) SC_ldexpf(float, int);
539float __attribute__((overloadable)) ldexp(float v1, int v2) {
540    return SC_ldexpf(v1, v2);
541}
542FN_FUNC_FN_IN(ldexp)
543FN_FUNC_FN_I(ldexp)
544
545extern float __attribute__((overloadable)) SC_lgammaf(float);
546float __attribute__((overloadable)) lgamma(float v) {
547    return SC_lgammaf(v);
548}
549FN_FUNC_FN(lgamma)
550extern float __attribute__((overloadable)) SC_lgammaf_r(float, int*);
551float __attribute__((overloadable)) lgamma(float v, int* ptr) {
552    return SC_lgammaf_r(v, ptr);
553}
554FN_FUNC_FN_PIN(lgamma)
555
556extern float __attribute__((overloadable)) SC_logf(float);
557float __attribute__((overloadable)) log(float v) {
558    return SC_logf(v);
559}
560FN_FUNC_FN(log)
561
562extern float __attribute__((overloadable)) SC_log10f(float);
563float __attribute__((overloadable)) log10(float v) {
564    return SC_log10f(v);
565}
566FN_FUNC_FN(log10)
567
568
569extern float __attribute__((overloadable)) log2(float v) {
570    return log10(v) * 3.321928095f;
571}
572FN_FUNC_FN(log2)
573
574extern float __attribute__((overloadable)) SC_log1pf(float);
575float __attribute__((overloadable)) log1p(float v) {
576    return SC_log1pf(v);
577}
578FN_FUNC_FN(log1p)
579
580extern float __attribute__((overloadable)) SC_logbf(float);
581float __attribute__((overloadable)) logb(float v) {
582    return SC_logbf(v);
583}
584FN_FUNC_FN(logb)
585
586extern float __attribute__((overloadable)) mad(float a, float b, float c) {
587    return a * b + c;
588}
589extern float2 __attribute__((overloadable)) mad(float2 a, float2 b, float2 c) {
590    return a * b + c;
591}
592extern float3 __attribute__((overloadable)) mad(float3 a, float3 b, float3 c) {
593    return a * b + c;
594}
595extern float4 __attribute__((overloadable)) mad(float4 a, float4 b, float4 c) {
596    return a * b + c;
597}
598
599extern float __attribute__((overloadable)) SC_modff(float, float *);
600float __attribute__((overloadable)) modf(float v1, float *v2) {
601    return SC_modff(v1, v2);
602}
603FN_FUNC_FN_PFN(modf);
604
605extern float __attribute__((overloadable)) nan(uint v) {
606    float f[1];
607    uint32_t *ip = (uint32_t *)f;
608    *ip = v | 0x7fc00000;
609    return f[0];
610}
611
612extern float __attribute__((overloadable)) SC_nextafterf(float, float);
613float __attribute__((overloadable)) nextafter(float v1, float v2) {
614    return SC_nextafterf(v1, v2);
615}
616FN_FUNC_FN_FN(nextafter)
617
618FN_FUNC_FN_FN(pow)
619
620extern float __attribute__((overloadable)) pown(float v, int p) {
621    /* The mantissa of a float has fewer bits than an int (24 effective vs. 31).
622     * For very large ints, we'll lose whether the exponent is even or odd, making
623     * the selection of a correct sign incorrect.  We correct this.  Use copysign
624     * to handle the negative zero case.
625     */
626    float sign = (p & 0x1) ? copysign(1.f, v) : 1.f;
627    float f = pow(v, (float)p);
628    return copysign(f, sign);
629}
630FN_FUNC_FN_IN(pown)
631
632extern float __attribute__((overloadable)) powr(float v, float p) {
633    return pow(v, p);
634}
635extern float2 __attribute__((overloadable)) powr(float2 v, float2 p) {
636    return pow(v, p);
637}
638extern float3 __attribute__((overloadable)) powr(float3 v, float3 p) {
639    return pow(v, p);
640}
641extern float4 __attribute__((overloadable)) powr(float4 v, float4 p) {
642    return pow(v, p);
643}
644
645extern float __attribute__((overloadable)) SC_remainderf(float, float);
646float __attribute__((overloadable)) remainder(float v1, float v2) {
647    return SC_remainderf(v1, v2);
648}
649FN_FUNC_FN_FN(remainder)
650
651extern float __attribute__((overloadable)) SC_remquof(float, float, int *);
652float __attribute__((overloadable)) remquo(float v1, float v2, int *v3) {
653    return SC_remquof(v1, v2, v3);
654}
655FN_FUNC_FN_FN_PIN(remquo)
656
657extern float __attribute__((overloadable)) SC_rintf(float);
658float __attribute__((overloadable)) rint(float v) {
659    return SC_rintf(v);
660}
661FN_FUNC_FN(rint)
662
663extern float __attribute__((overloadable)) rootn(float v, int r) {
664    if (r == 0) {
665        return posinf();
666    }
667
668    if (iszero(v)) {
669        if (r < 0) {
670            if (r & 1) {
671                return copysign(posinf(), v);
672            } else {
673                return posinf();
674            }
675        } else {
676            if (r & 1) {
677                return copysign(0.f, v);
678            } else {
679                return 0.f;
680            }
681        }
682    }
683
684    if (!isinf(v) && !isnan(v) && (v < 0.f)) {
685        if (r & 1) {
686            return (-1.f * pow(-1.f * v, 1.f / r));
687        } else {
688            return nan(0);
689        }
690    }
691
692    return pow(v, 1.f / r);
693}
694FN_FUNC_FN_IN(rootn);
695
696extern float __attribute__((overloadable)) SC_roundf(float);
697float __attribute__((overloadable)) round(float v) {
698    return SC_roundf(v);
699}
700FN_FUNC_FN(round)
701
702extern float __attribute__((overloadable)) SC_randf2(float, float);
703float __attribute__((overloadable)) rsRand(float min, float max) {
704  return SC_randf2(min, max);
705}
706
707
708extern float __attribute__((overloadable)) rsqrt(float v) {
709    return 1.f / sqrt(v);
710}
711
712#if !defined(ARCH_X86_HAVE_SSSE3) || defined(RS_DEBUG_RUNTIME)
713// These functions must be defined here if we are not using the SSE
714// implementation, which includes when we are built as part of the
715// debug runtime (libclcore_debug.bc).
716FN_FUNC_FN(sqrt)
717#else
718extern float2 __attribute__((overloadable)) sqrt(float2);
719extern float3 __attribute__((overloadable)) sqrt(float3);
720extern float4 __attribute__((overloadable)) sqrt(float4);
721#endif // !defined(ARCH_X86_HAVE_SSSE3) || defined(RS_DEBUG_RUNTIME)
722
723FN_FUNC_FN(rsqrt)
724
725extern float __attribute__((overloadable)) SC_sinf(float);
726float __attribute__((overloadable)) sin(float v) {
727    return SC_sinf(v);
728}
729FN_FUNC_FN(sin)
730
731extern float __attribute__((overloadable)) sincos(float v, float *cosptr) {
732    *cosptr = cos(v);
733    return sin(v);
734}
735extern float2 __attribute__((overloadable)) sincos(float2 v, float2 *cosptr) {
736    *cosptr = cos(v);
737    return sin(v);
738}
739extern float3 __attribute__((overloadable)) sincos(float3 v, float3 *cosptr) {
740    *cosptr = cos(v);
741    return sin(v);
742}
743extern float4 __attribute__((overloadable)) sincos(float4 v, float4 *cosptr) {
744    *cosptr = cos(v);
745    return sin(v);
746}
747
748extern float __attribute__((overloadable)) SC_sinhf(float);
749float __attribute__((overloadable)) sinh(float v) {
750    return SC_sinhf(v);
751}
752FN_FUNC_FN(sinh)
753
754extern float __attribute__((overloadable)) sinpi(float v) {
755    return sin(v * M_PI);
756}
757FN_FUNC_FN(sinpi)
758
759extern float __attribute__((overloadable)) SC_tanf(float);
760float __attribute__((overloadable)) tan(float v) {
761    return SC_tanf(v);
762}
763FN_FUNC_FN(tan)
764
765extern float __attribute__((overloadable)) SC_tanhf(float);
766float __attribute__((overloadable)) tanh(float v) {
767    return SC_tanhf(v);
768}
769FN_FUNC_FN(tanh)
770
771extern float __attribute__((overloadable)) tanpi(float v) {
772    return tan(v * M_PI);
773}
774FN_FUNC_FN(tanpi)
775
776
777extern float __attribute__((overloadable)) SC_tgammaf(float);
778float __attribute__((overloadable)) tgamma(float v) {
779    return SC_tgammaf(v);
780}
781FN_FUNC_FN(tgamma)
782
783extern float __attribute__((overloadable)) SC_truncf(float);
784float __attribute__((overloadable)) trunc(float v) {
785    return SC_truncf(v);
786}
787FN_FUNC_FN(trunc)
788
789// Int ops (partial), 6.11.3
790
791#define XN_FUNC_YN(typeout, fnc, typein)                                \
792extern typeout __attribute__((overloadable)) fnc(typein);               \
793extern typeout##2 __attribute__((overloadable)) fnc(typein##2 v) {  \
794    typeout##2 r;                                                       \
795    r.x = fnc(v.x);                                                     \
796    r.y = fnc(v.y);                                                     \
797    return r;                                                           \
798}                                                                       \
799extern typeout##3 __attribute__((overloadable)) fnc(typein##3 v) {  \
800    typeout##3 r;                                                       \
801    r.x = fnc(v.x);                                                     \
802    r.y = fnc(v.y);                                                     \
803    r.z = fnc(v.z);                                                     \
804    return r;                                                           \
805}                                                                       \
806extern typeout##4 __attribute__((overloadable)) fnc(typein##4 v) {  \
807    typeout##4 r;                                                       \
808    r.x = fnc(v.x);                                                     \
809    r.y = fnc(v.y);                                                     \
810    r.z = fnc(v.z);                                                     \
811    r.w = fnc(v.w);                                                     \
812    return r;                                                           \
813}
814
815
816#define UIN_FUNC_IN(fnc)          \
817XN_FUNC_YN(uchar, fnc, char)      \
818XN_FUNC_YN(ushort, fnc, short)    \
819XN_FUNC_YN(uint, fnc, int)
820
821#define IN_FUNC_IN(fnc)           \
822XN_FUNC_YN(uchar, fnc, uchar)     \
823XN_FUNC_YN(char, fnc, char)       \
824XN_FUNC_YN(ushort, fnc, ushort)   \
825XN_FUNC_YN(short, fnc, short)     \
826XN_FUNC_YN(uint, fnc, uint)       \
827XN_FUNC_YN(int, fnc, int)
828
829
830#define XN_FUNC_XN_XN_BODY(type, fnc, body)         \
831extern type __attribute__((overloadable))       \
832        fnc(type v1, type v2) {                     \
833    return body;                                    \
834}                                                   \
835extern type##2 __attribute__((overloadable))    \
836        fnc(type##2 v1, type##2 v2) {               \
837    type##2 r;                                      \
838    r.x = fnc(v1.x, v2.x);                          \
839    r.y = fnc(v1.y, v2.y);                          \
840    return r;                                       \
841}                                                   \
842extern type##3 __attribute__((overloadable))    \
843        fnc(type##3 v1, type##3 v2) {               \
844    type##3 r;                                      \
845    r.x = fnc(v1.x, v2.x);                          \
846    r.y = fnc(v1.y, v2.y);                          \
847    r.z = fnc(v1.z, v2.z);                          \
848    return r;                                       \
849}                                                   \
850extern type##4 __attribute__((overloadable))    \
851        fnc(type##4 v1, type##4 v2) {               \
852    type##4 r;                                      \
853    r.x = fnc(v1.x, v2.x);                          \
854    r.y = fnc(v1.y, v2.y);                          \
855    r.z = fnc(v1.z, v2.z);                          \
856    r.w = fnc(v1.w, v2.w);                          \
857    return r;                                       \
858}
859
860#define IN_FUNC_IN_IN_BODY(fnc, body) \
861XN_FUNC_XN_XN_BODY(uchar, fnc, body)  \
862XN_FUNC_XN_XN_BODY(char, fnc, body)   \
863XN_FUNC_XN_XN_BODY(ushort, fnc, body) \
864XN_FUNC_XN_XN_BODY(short, fnc, body)  \
865XN_FUNC_XN_XN_BODY(uint, fnc, body)   \
866XN_FUNC_XN_XN_BODY(int, fnc, body)    \
867XN_FUNC_XN_XN_BODY(float, fnc, body)
868
869
870/**
871 * abs
872 */
873extern uint32_t __attribute__((overloadable)) abs(int32_t v) {
874    if (v < 0)
875        return -v;
876    return v;
877}
878extern uint16_t __attribute__((overloadable)) abs(int16_t v) {
879    if (v < 0)
880        return -v;
881    return v;
882}
883extern uint8_t __attribute__((overloadable)) abs(int8_t v) {
884    if (v < 0)
885        return -v;
886    return v;
887}
888
889/**
890 * clz
891 * __builtin_clz only accepts a 32-bit unsigned int, so every input will be
892 * expanded to 32 bits. For our smaller data types, we need to subtract off
893 * these unused top bits (that will be always be composed of zeros).
894 */
895extern uint32_t __attribute__((overloadable)) clz(uint32_t v) {
896    return __builtin_clz(v);
897}
898extern uint16_t __attribute__((overloadable)) clz(uint16_t v) {
899    return __builtin_clz(v) - 16;
900}
901extern uint8_t __attribute__((overloadable)) clz(uint8_t v) {
902    return __builtin_clz(v) - 24;
903}
904extern int32_t __attribute__((overloadable)) clz(int32_t v) {
905    return __builtin_clz(v);
906}
907extern int16_t __attribute__((overloadable)) clz(int16_t v) {
908    return __builtin_clz(((uint32_t)v) & 0x0000ffff) - 16;
909}
910extern int8_t __attribute__((overloadable)) clz(int8_t v) {
911    return __builtin_clz(((uint32_t)v) & 0x000000ff) - 24;
912}
913
914
915UIN_FUNC_IN(abs)
916IN_FUNC_IN(clz)
917
918
919// 6.11.4
920
921
922extern float __attribute__((overloadable)) degrees(float radians) {
923    return radians * (180.f / M_PI);
924}
925extern float2 __attribute__((overloadable)) degrees(float2 radians) {
926    return radians * (180.f / M_PI);
927}
928extern float3 __attribute__((overloadable)) degrees(float3 radians) {
929    return radians * (180.f / M_PI);
930}
931extern float4 __attribute__((overloadable)) degrees(float4 radians) {
932    return radians * (180.f / M_PI);
933}
934
935extern float __attribute__((overloadable)) mix(float start, float stop, float amount) {
936    return start + (stop - start) * amount;
937}
938extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float2 amount) {
939    return start + (stop - start) * amount;
940}
941extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float3 amount) {
942    return start + (stop - start) * amount;
943}
944extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float4 amount) {
945    return start + (stop - start) * amount;
946}
947extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float amount) {
948    return start + (stop - start) * amount;
949}
950extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float amount) {
951    return start + (stop - start) * amount;
952}
953extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float amount) {
954    return start + (stop - start) * amount;
955}
956
957extern float __attribute__((overloadable)) radians(float degrees) {
958    return degrees * (M_PI / 180.f);
959}
960extern float2 __attribute__((overloadable)) radians(float2 degrees) {
961    return degrees * (M_PI / 180.f);
962}
963extern float3 __attribute__((overloadable)) radians(float3 degrees) {
964    return degrees * (M_PI / 180.f);
965}
966extern float4 __attribute__((overloadable)) radians(float4 degrees) {
967    return degrees * (M_PI / 180.f);
968}
969
970extern float __attribute__((overloadable)) step(float edge, float v) {
971    return (v < edge) ? 0.f : 1.f;
972}
973extern float2 __attribute__((overloadable)) step(float2 edge, float2 v) {
974    float2 r;
975    r.x = (v.x < edge.x) ? 0.f : 1.f;
976    r.y = (v.y < edge.y) ? 0.f : 1.f;
977    return r;
978}
979extern float3 __attribute__((overloadable)) step(float3 edge, float3 v) {
980    float3 r;
981    r.x = (v.x < edge.x) ? 0.f : 1.f;
982    r.y = (v.y < edge.y) ? 0.f : 1.f;
983    r.z = (v.z < edge.z) ? 0.f : 1.f;
984    return r;
985}
986extern float4 __attribute__((overloadable)) step(float4 edge, float4 v) {
987    float4 r;
988    r.x = (v.x < edge.x) ? 0.f : 1.f;
989    r.y = (v.y < edge.y) ? 0.f : 1.f;
990    r.z = (v.z < edge.z) ? 0.f : 1.f;
991    r.w = (v.w < edge.w) ? 0.f : 1.f;
992    return r;
993}
994extern float2 __attribute__((overloadable)) step(float2 edge, float v) {
995    float2 r;
996    r.x = (v < edge.x) ? 0.f : 1.f;
997    r.y = (v < edge.y) ? 0.f : 1.f;
998    return r;
999}
1000extern float3 __attribute__((overloadable)) step(float3 edge, float v) {
1001    float3 r;
1002    r.x = (v < edge.x) ? 0.f : 1.f;
1003    r.y = (v < edge.y) ? 0.f : 1.f;
1004    r.z = (v < edge.z) ? 0.f : 1.f;
1005    return r;
1006}
1007extern float4 __attribute__((overloadable)) step(float4 edge, float v) {
1008    float4 r;
1009    r.x = (v < edge.x) ? 0.f : 1.f;
1010    r.y = (v < edge.y) ? 0.f : 1.f;
1011    r.z = (v < edge.z) ? 0.f : 1.f;
1012    r.w = (v < edge.w) ? 0.f : 1.f;
1013    return r;
1014}
1015extern float2 __attribute__((overloadable)) step(float edge, float2 v) {
1016    float2 r;
1017    r.x = (v.x < edge) ? 0.f : 1.f;
1018    r.y = (v.y < edge) ? 0.f : 1.f;
1019    return r;
1020}
1021extern float3 __attribute__((overloadable)) step(float edge, float3 v) {
1022    float3 r;
1023    r.x = (v.x < edge) ? 0.f : 1.f;
1024    r.y = (v.y < edge) ? 0.f : 1.f;
1025    r.z = (v.z < edge) ? 0.f : 1.f;
1026    return r;
1027}
1028extern float4 __attribute__((overloadable)) step(float edge, float4 v) {
1029    float4 r;
1030    r.x = (v.x < edge) ? 0.f : 1.f;
1031    r.y = (v.y < edge) ? 0.f : 1.f;
1032    r.z = (v.z < edge) ? 0.f : 1.f;
1033    r.w = (v.w < edge) ? 0.f : 1.f;
1034    return r;
1035}
1036
1037extern float __attribute__((overloadable)) sign(float v) {
1038    if (v > 0) return 1.f;
1039    if (v < 0) return -1.f;
1040    return v;
1041}
1042FN_FUNC_FN(sign)
1043
1044
1045// 6.11.5
1046extern float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs) {
1047    float3 r;
1048    r.x = lhs.y * rhs.z  - lhs.z * rhs.y;
1049    r.y = lhs.z * rhs.x  - lhs.x * rhs.z;
1050    r.z = lhs.x * rhs.y  - lhs.y * rhs.x;
1051    return r;
1052}
1053
1054extern float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs) {
1055    float4 r;
1056    r.x = lhs.y * rhs.z  - lhs.z * rhs.y;
1057    r.y = lhs.z * rhs.x  - lhs.x * rhs.z;
1058    r.z = lhs.x * rhs.y  - lhs.y * rhs.x;
1059    r.w = 0.f;
1060    return r;
1061}
1062
1063#if !defined(ARCH_X86_HAVE_SSSE3) || defined(RS_DEBUG_RUNTIME)
1064// These functions must be defined here if we are not using the SSE
1065// implementation, which includes when we are built as part of the
1066// debug runtime (libclcore_debug.bc).
1067
1068extern float __attribute__((overloadable)) dot(float lhs, float rhs) {
1069    return lhs * rhs;
1070}
1071extern float __attribute__((overloadable)) dot(float2 lhs, float2 rhs) {
1072    return lhs.x*rhs.x + lhs.y*rhs.y;
1073}
1074extern float __attribute__((overloadable)) dot(float3 lhs, float3 rhs) {
1075    return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z;
1076}
1077extern float __attribute__((overloadable)) dot(float4 lhs, float4 rhs) {
1078    return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z + lhs.w*rhs.w;
1079}
1080
1081extern float __attribute__((overloadable)) length(float v) {
1082    return fabs(v);
1083}
1084extern float __attribute__((overloadable)) length(float2 v) {
1085    return sqrt(v.x*v.x + v.y*v.y);
1086}
1087extern float __attribute__((overloadable)) length(float3 v) {
1088    return sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
1089}
1090extern float __attribute__((overloadable)) length(float4 v) {
1091    return sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
1092}
1093
1094#else
1095
1096extern float __attribute__((overloadable)) length(float v);
1097extern float __attribute__((overloadable)) length(float2 v);
1098extern float __attribute__((overloadable)) length(float3 v);
1099extern float __attribute__((overloadable)) length(float4 v);
1100
1101#endif // !defined(ARCH_X86_HAVE_SSSE3) || defined(RS_DEBUG_RUNTIME)
1102
1103extern float __attribute__((overloadable)) distance(float lhs, float rhs) {
1104    return length(lhs - rhs);
1105}
1106extern float __attribute__((overloadable)) distance(float2 lhs, float2 rhs) {
1107    return length(lhs - rhs);
1108}
1109extern float __attribute__((overloadable)) distance(float3 lhs, float3 rhs) {
1110    return length(lhs - rhs);
1111}
1112extern float __attribute__((overloadable)) distance(float4 lhs, float4 rhs) {
1113    return length(lhs - rhs);
1114}
1115
1116/* For the normalization functions, vectors of length 0 should simply be
1117 * returned (i.e. all the components of that vector are 0).
1118 */
1119extern float __attribute__((overloadable)) normalize(float v) {
1120    if (v == 0.0f) {
1121        return 0.0f;
1122    } else if (v < 0.0f) {
1123        return -1.0f;
1124    } else {
1125        return 1.0f;
1126    }
1127}
1128extern float2 __attribute__((overloadable)) normalize(float2 v) {
1129    float l = length(v);
1130    return l == 0.0f ? v : v / l;
1131}
1132extern float3 __attribute__((overloadable)) normalize(float3 v) {
1133    float l = length(v);
1134    return l == 0.0f ? v : v / l;
1135}
1136extern float4 __attribute__((overloadable)) normalize(float4 v) {
1137    float l = length(v);
1138    return l == 0.0f ? v : v / l;
1139}
1140
1141extern float __attribute__((overloadable)) half_sqrt(float v) {
1142    return sqrt(v);
1143}
1144FN_FUNC_FN(half_sqrt)
1145
1146extern float __attribute__((overloadable)) fast_length(float v) {
1147    return fabs(v);
1148}
1149extern float __attribute__((overloadable)) fast_length(float2 v) {
1150    return half_sqrt(v.x*v.x + v.y*v.y);
1151}
1152extern float __attribute__((overloadable)) fast_length(float3 v) {
1153    return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
1154}
1155extern float __attribute__((overloadable)) fast_length(float4 v) {
1156    return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
1157}
1158
1159extern float __attribute__((overloadable)) fast_distance(float lhs, float rhs) {
1160    return fast_length(lhs - rhs);
1161}
1162extern float __attribute__((overloadable)) fast_distance(float2 lhs, float2 rhs) {
1163    return fast_length(lhs - rhs);
1164}
1165extern float __attribute__((overloadable)) fast_distance(float3 lhs, float3 rhs) {
1166    return fast_length(lhs - rhs);
1167}
1168extern float __attribute__((overloadable)) fast_distance(float4 lhs, float4 rhs) {
1169    return fast_length(lhs - rhs);
1170}
1171
1172extern float __attribute__((overloadable)) half_rsqrt(float);
1173
1174/* For the normalization functions, vectors of length 0 should simply be
1175 * returned (i.e. all the components of that vector are 0).
1176 */
1177extern float __attribute__((overloadable)) fast_normalize(float v) {
1178    if (v == 0.0f) {
1179        return 0.0f;
1180    } else if (v < 0.0f) {
1181        return -1.0f;
1182    } else {
1183        return 1.0f;
1184    }
1185}
1186// If the length is 0, then rlength should be NaN.
1187extern float2 __attribute__((overloadable)) fast_normalize(float2 v) {
1188    float rlength = half_rsqrt(v.x*v.x + v.y*v.y);
1189    return (rlength == rlength) ? v * rlength : v;
1190}
1191extern float3 __attribute__((overloadable)) fast_normalize(float3 v) {
1192    float rlength = half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z);
1193    return (rlength == rlength) ? v * rlength : v;
1194}
1195extern float4 __attribute__((overloadable)) fast_normalize(float4 v) {
1196    float rlength = half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
1197    return (rlength == rlength) ? v * rlength : v;
1198}
1199
1200extern float __attribute__((overloadable)) half_recip(float v) {
1201    return 1.f / v;
1202}
1203
1204/*
1205extern float __attribute__((overloadable)) approx_atan(float x) {
1206    if (x == 0.f)
1207        return 0.f;
1208    if (x < 0.f)
1209        return -1.f * approx_atan(-1.f * x);
1210    if (x > 1.f)
1211        return M_PI_2 - approx_atan(approx_recip(x));
1212    return x * approx_recip(1.f + 0.28f * x*x);
1213}
1214FN_FUNC_FN(approx_atan)
1215*/
1216
1217typedef union
1218{
1219  float fv;
1220  int32_t iv;
1221} ieee_float_shape_type;
1222
1223/* Get a 32 bit int from a float.  */
1224
1225#define GET_FLOAT_WORD(i,d)                 \
1226do {                                \
1227  ieee_float_shape_type gf_u;                   \
1228  gf_u.fv = (d);                     \
1229  (i) = gf_u.iv;                      \
1230} while (0)
1231
1232/* Set a float from a 32 bit int.  */
1233
1234#define SET_FLOAT_WORD(d,i)                 \
1235do {                                \
1236  ieee_float_shape_type sf_u;                   \
1237  sf_u.iv = (i);                      \
1238  (d) = sf_u.fv;                     \
1239} while (0)
1240
1241
1242
1243// Valid -125 to 125
1244extern float __attribute__((overloadable)) native_exp2(float v) {
1245    int32_t iv = (int)v;
1246    int32_t x = iv + (iv >> 31); // ~floor(v)
1247    float r = (v - x);
1248
1249    float fo;
1250    SET_FLOAT_WORD(fo, (x + 127) << 23);
1251
1252    r *= 0.694f; // ~ log(e) / log(2)
1253    float r2 = r*r;
1254    float adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1255    return fo * adj;
1256}
1257
1258extern float2 __attribute__((overloadable)) native_exp2(float2 v) {
1259    int2 iv = convert_int2(v);
1260    int2 x = iv + (iv >> (int2)31);//floor(v);
1261    float2 r = (v - convert_float2(x));
1262
1263    x += 127;
1264
1265    float2 fo = (float2)(x << (int2)23);
1266
1267    r *= 0.694f; // ~ log(e) / log(2)
1268    float2 r2 = r*r;
1269    float2 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1270    return fo * adj;
1271}
1272
1273extern float4 __attribute__((overloadable)) native_exp2(float4 v) {
1274    int4 iv = convert_int4(v);
1275    int4 x = iv + (iv >> (int4)31);//floor(v);
1276    float4 r = (v - convert_float4(x));
1277
1278    x += 127;
1279
1280    float4 fo = (float4)(x << (int4)23);
1281
1282    r *= 0.694f; // ~ log(e) / log(2)
1283    float4 r2 = r*r;
1284    float4 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1285    return fo * adj;
1286}
1287
1288extern float3 __attribute__((overloadable)) native_exp2(float3 v) {
1289    float4 t = 1.f;
1290    t.xyz = v;
1291    return native_exp2(t).xyz;
1292}
1293
1294
1295extern float __attribute__((overloadable)) native_exp(float v) {
1296    return native_exp2(v * 1.442695041f);
1297}
1298extern float2 __attribute__((overloadable)) native_exp(float2 v) {
1299    return native_exp2(v * 1.442695041f);
1300}
1301extern float3 __attribute__((overloadable)) native_exp(float3 v) {
1302    return native_exp2(v * 1.442695041f);
1303}
1304extern float4 __attribute__((overloadable)) native_exp(float4 v) {
1305    return native_exp2(v * 1.442695041f);
1306}
1307
1308extern float __attribute__((overloadable)) native_exp10(float v) {
1309    return native_exp2(v * 3.321928095f);
1310}
1311extern float2 __attribute__((overloadable)) native_exp10(float2 v) {
1312    return native_exp2(v * 3.321928095f);
1313}
1314extern float3 __attribute__((overloadable)) native_exp10(float3 v) {
1315    return native_exp2(v * 3.321928095f);
1316}
1317extern float4 __attribute__((overloadable)) native_exp10(float4 v) {
1318    return native_exp2(v * 3.321928095f);
1319}
1320
1321extern float __attribute__((overloadable)) native_log2(float v) {
1322    int32_t ibits;
1323    GET_FLOAT_WORD(ibits, v);
1324
1325    int32_t e = (ibits >> 23) & 0xff;
1326
1327    ibits &= 0x7fffff;
1328    ibits |= 127 << 23;
1329
1330    float ir;
1331    SET_FLOAT_WORD(ir, ibits);
1332    ir -= 1.5f;
1333    float ir2 = ir*ir;
1334    float adj2 = (0.405465108f / 0.693147181f) +
1335                 ((0.666666667f / 0.693147181f) * ir) -
1336                 ((0.222222222f / 0.693147181f) * ir2) +
1337                 ((0.098765432f / 0.693147181f) * ir*ir2) -
1338                 ((0.049382716f / 0.693147181f) * ir2*ir2) +
1339                 ((0.026337449f / 0.693147181f) * ir*ir2*ir2) -
1340                 ((0.014631916f / 0.693147181f) * ir2*ir2*ir2);
1341    return (float)(e - 127) + adj2;
1342}
1343extern float2 __attribute__((overloadable)) native_log2(float2 v) {
1344    float2 v2 = {native_log2(v.x), native_log2(v.y)};
1345    return v2;
1346}
1347extern float3 __attribute__((overloadable)) native_log2(float3 v) {
1348    float3 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z)};
1349    return v2;
1350}
1351extern float4 __attribute__((overloadable)) native_log2(float4 v) {
1352    float4 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z), native_log2(v.w)};
1353    return v2;
1354}
1355
1356extern float __attribute__((overloadable)) native_log(float v) {
1357    return native_log2(v) * (1.f / 1.442695041f);
1358}
1359extern float2 __attribute__((overloadable)) native_log(float2 v) {
1360    return native_log2(v) * (1.f / 1.442695041f);
1361}
1362extern float3 __attribute__((overloadable)) native_log(float3 v) {
1363    return native_log2(v) * (1.f / 1.442695041f);
1364}
1365extern float4 __attribute__((overloadable)) native_log(float4 v) {
1366    return native_log2(v) * (1.f / 1.442695041f);
1367}
1368
1369extern float __attribute__((overloadable)) native_log10(float v) {
1370    return native_log2(v) * (1.f / 3.321928095f);
1371}
1372extern float2 __attribute__((overloadable)) native_log10(float2 v) {
1373    return native_log2(v) * (1.f / 3.321928095f);
1374}
1375extern float3 __attribute__((overloadable)) native_log10(float3 v) {
1376    return native_log2(v) * (1.f / 3.321928095f);
1377}
1378extern float4 __attribute__((overloadable)) native_log10(float4 v) {
1379    return native_log2(v) * (1.f / 3.321928095f);
1380}
1381
1382
1383extern float __attribute__((overloadable)) native_powr(float v, float y) {
1384    float v2 = native_log2(v);
1385    v2 = fmax(v2 * y, -125.f);
1386    return native_exp2(v2);
1387}
1388extern float2 __attribute__((overloadable)) native_powr(float2 v, float2 y) {
1389    float2 v2 = native_log2(v);
1390    v2 = fmax(v2 * y, -125.f);
1391    return native_exp2(v2);
1392}
1393extern float3 __attribute__((overloadable)) native_powr(float3 v, float3 y) {
1394    float3 v2 = native_log2(v);
1395    v2 = fmax(v2 * y, -125.f);
1396    return native_exp2(v2);
1397}
1398extern float4 __attribute__((overloadable)) native_powr(float4 v, float4 y) {
1399    float4 v2 = native_log2(v);
1400    v2 = fmax(v2 * y, -125.f);
1401    return native_exp2(v2);
1402}
1403
1404extern double __attribute__((overloadable)) min(double v1, double v2) {
1405    return v1 < v2 ? v1 : v2;
1406}
1407
1408extern double2 __attribute__((overloadable)) min(double2 v1, double2 v2) {
1409    double2 r;
1410    r.x = v1.x < v2.x ? v1.x : v2.x;
1411    r.y = v1.y < v2.y ? v1.y : v2.y;
1412    return r;
1413}
1414
1415extern double3 __attribute__((overloadable)) min(double3 v1, double3 v2) {
1416    double3 r;
1417    r.x = v1.x < v2.x ? v1.x : v2.x;
1418    r.y = v1.y < v2.y ? v1.y : v2.y;
1419    r.z = v1.z < v2.z ? v1.z : v2.z;
1420    return r;
1421}
1422
1423extern double4 __attribute__((overloadable)) min(double4 v1, double4 v2) {
1424    double4 r;
1425    r.x = v1.x < v2.x ? v1.x : v2.x;
1426    r.y = v1.y < v2.y ? v1.y : v2.y;
1427    r.z = v1.z < v2.z ? v1.z : v2.z;
1428    r.w = v1.w < v2.w ? v1.w : v2.w;
1429    return r;
1430}
1431
1432extern long __attribute__((overloadable)) min(long v1, long v2) {
1433    return v1 < v2 ? v1 : v2;
1434}
1435extern long2 __attribute__((overloadable)) min(long2 v1, long2 v2) {
1436    long2 r;
1437    r.x = v1.x < v2.x ? v1.x : v2.x;
1438    r.y = v1.y < v2.y ? v1.y : v2.y;
1439    return r;
1440}
1441extern long3 __attribute__((overloadable)) min(long3 v1, long3 v2) {
1442    long3 r;
1443    r.x = v1.x < v2.x ? v1.x : v2.x;
1444    r.y = v1.y < v2.y ? v1.y : v2.y;
1445    r.z = v1.z < v2.z ? v1.z : v2.z;
1446    return r;
1447}
1448extern long4 __attribute__((overloadable)) min(long4 v1, long4 v2) {
1449    long4 r;
1450    r.x = v1.x < v2.x ? v1.x : v2.x;
1451    r.y = v1.y < v2.y ? v1.y : v2.y;
1452    r.z = v1.z < v2.z ? v1.z : v2.z;
1453    r.w = v1.w < v2.w ? v1.w : v2.w;
1454    return r;
1455}
1456
1457extern ulong __attribute__((overloadable)) min(ulong v1, ulong v2) {
1458    return v1 < v2 ? v1 : v2;
1459}
1460extern ulong2 __attribute__((overloadable)) min(ulong2 v1, ulong2 v2) {
1461    ulong2 r;
1462    r.x = v1.x < v2.x ? v1.x : v2.x;
1463    r.y = v1.y < v2.y ? v1.y : v2.y;
1464    return r;
1465}
1466extern ulong3 __attribute__((overloadable)) min(ulong3 v1, ulong3 v2) {
1467    ulong3 r;
1468    r.x = v1.x < v2.x ? v1.x : v2.x;
1469    r.y = v1.y < v2.y ? v1.y : v2.y;
1470    r.z = v1.z < v2.z ? v1.z : v2.z;
1471    return r;
1472}
1473extern ulong4 __attribute__((overloadable)) min(ulong4 v1, ulong4 v2) {
1474    ulong4 r;
1475    r.x = v1.x < v2.x ? v1.x : v2.x;
1476    r.y = v1.y < v2.y ? v1.y : v2.y;
1477    r.z = v1.z < v2.z ? v1.z : v2.z;
1478    r.w = v1.w < v2.w ? v1.w : v2.w;
1479    return r;
1480}
1481
1482extern double __attribute__((overloadable)) max(double v1, double v2) {
1483    return v1 > v2 ? v1 : v2;
1484}
1485
1486extern double2 __attribute__((overloadable)) max(double2 v1, double2 v2) {
1487    double2 r;
1488    r.x = v1.x > v2.x ? v1.x : v2.x;
1489    r.y = v1.y > v2.y ? v1.y : v2.y;
1490    return r;
1491}
1492
1493extern double3 __attribute__((overloadable)) max(double3 v1, double3 v2) {
1494    double3 r;
1495    r.x = v1.x > v2.x ? v1.x : v2.x;
1496    r.y = v1.y > v2.y ? v1.y : v2.y;
1497    r.z = v1.z > v2.z ? v1.z : v2.z;
1498    return r;
1499}
1500
1501extern double4 __attribute__((overloadable)) max(double4 v1, double4 v2) {
1502    double4 r;
1503    r.x = v1.x > v2.x ? v1.x : v2.x;
1504    r.y = v1.y > v2.y ? v1.y : v2.y;
1505    r.z = v1.z > v2.z ? v1.z : v2.z;
1506    r.w = v1.w > v2.w ? v1.w : v2.w;
1507    return r;
1508}
1509
1510extern long __attribute__((overloadable)) max(long v1, long v2) {
1511    return v1 > v2 ? v1 : v2;
1512}
1513extern long2 __attribute__((overloadable)) max(long2 v1, long2 v2) {
1514    long2 r;
1515    r.x = v1.x > v2.x ? v1.x : v2.x;
1516    r.y = v1.y > v2.y ? v1.y : v2.y;
1517    return r;
1518}
1519extern long3 __attribute__((overloadable)) max(long3 v1, long3 v2) {
1520    long3 r;
1521    r.x = v1.x > v2.x ? v1.x : v2.x;
1522    r.y = v1.y > v2.y ? v1.y : v2.y;
1523    r.z = v1.z > v2.z ? v1.z : v2.z;
1524    return r;
1525}
1526extern long4 __attribute__((overloadable)) max(long4 v1, long4 v2) {
1527    long4 r;
1528    r.x = v1.x > v2.x ? v1.x : v2.x;
1529    r.y = v1.y > v2.y ? v1.y : v2.y;
1530    r.z = v1.z > v2.z ? v1.z : v2.z;
1531    r.w = v1.w > v2.w ? v1.w : v2.w;
1532    return r;
1533}
1534
1535extern ulong __attribute__((overloadable)) max(ulong v1, ulong v2) {
1536    return v1 > v2 ? v1 : v2;
1537}
1538extern ulong2 __attribute__((overloadable)) max(ulong2 v1, ulong2 v2) {
1539    ulong2 r;
1540    r.x = v1.x > v2.x ? v1.x : v2.x;
1541    r.y = v1.y > v2.y ? v1.y : v2.y;
1542    return r;
1543}
1544extern ulong3 __attribute__((overloadable)) max(ulong3 v1, ulong3 v2) {
1545    ulong3 r;
1546    r.x = v1.x > v2.x ? v1.x : v2.x;
1547    r.y = v1.y > v2.y ? v1.y : v2.y;
1548    r.z = v1.z > v2.z ? v1.z : v2.z;
1549    return r;
1550}
1551extern ulong4 __attribute__((overloadable)) max(ulong4 v1, ulong4 v2) {
1552    ulong4 r;
1553    r.x = v1.x > v2.x ? v1.x : v2.x;
1554    r.y = v1.y > v2.y ? v1.y : v2.y;
1555    r.z = v1.z > v2.z ? v1.z : v2.z;
1556    r.w = v1.w > v2.w ? v1.w : v2.w;
1557    return r;
1558}
1559
1560#define THUNK_NATIVE_F(fn) \
1561    float __attribute__((overloadable)) native_##fn(float v) { return fn(v);} \
1562    float2 __attribute__((overloadable)) native_##fn(float2 v) { return fn(v);} \
1563    float3 __attribute__((overloadable)) native_##fn(float3 v) { return fn(v);} \
1564    float4 __attribute__((overloadable)) native_##fn(float4 v) { return fn(v);}
1565
1566#define THUNK_NATIVE_F_F(fn) \
1567    float __attribute__((overloadable)) native_##fn(float v1, float v2) { return fn(v1, v2);} \
1568    float2 __attribute__((overloadable)) native_##fn(float2 v1, float2 v2) { return fn(v1, v2);} \
1569    float3 __attribute__((overloadable)) native_##fn(float3 v1, float3 v2) { return fn(v1, v2);} \
1570    float4 __attribute__((overloadable)) native_##fn(float4 v1, float4 v2) { return fn(v1, v2);}
1571
1572#define THUNK_NATIVE_F_FP(fn) \
1573    float __attribute__((overloadable)) native_##fn(float v1, float *v2) { return fn(v1, v2);} \
1574    float2 __attribute__((overloadable)) native_##fn(float2 v1, float2 *v2) { return fn(v1, v2);} \
1575    float3 __attribute__((overloadable)) native_##fn(float3 v1, float3 *v2) { return fn(v1, v2);} \
1576    float4 __attribute__((overloadable)) native_##fn(float4 v1, float4 *v2) { return fn(v1, v2);}
1577
1578#define THUNK_NATIVE_F_I(fn) \
1579    float __attribute__((overloadable)) native_##fn(float v1, int v2) { return fn(v1, v2);} \
1580    float2 __attribute__((overloadable)) native_##fn(float2 v1, int2 v2) { return fn(v1, v2);} \
1581    float3 __attribute__((overloadable)) native_##fn(float3 v1, int3 v2) { return fn(v1, v2);} \
1582    float4 __attribute__((overloadable)) native_##fn(float4 v1, int4 v2) { return fn(v1, v2);}
1583
1584THUNK_NATIVE_F(acos)
1585THUNK_NATIVE_F(acosh)
1586THUNK_NATIVE_F(acospi)
1587THUNK_NATIVE_F(asin)
1588THUNK_NATIVE_F(asinh)
1589THUNK_NATIVE_F(asinpi)
1590THUNK_NATIVE_F(atan)
1591THUNK_NATIVE_F_F(atan2)
1592THUNK_NATIVE_F(atanh)
1593THUNK_NATIVE_F(atanpi)
1594THUNK_NATIVE_F_F(atan2pi)
1595THUNK_NATIVE_F(cbrt)
1596THUNK_NATIVE_F(cos)
1597THUNK_NATIVE_F(cosh)
1598THUNK_NATIVE_F(cospi)
1599THUNK_NATIVE_F(expm1)
1600THUNK_NATIVE_F_F(hypot)
1601THUNK_NATIVE_F(log1p)
1602THUNK_NATIVE_F_I(rootn)
1603THUNK_NATIVE_F(rsqrt)
1604THUNK_NATIVE_F(sqrt)
1605THUNK_NATIVE_F(sin)
1606THUNK_NATIVE_F_FP(sincos)
1607THUNK_NATIVE_F(sinh)
1608THUNK_NATIVE_F(sinpi)
1609THUNK_NATIVE_F(tan)
1610THUNK_NATIVE_F(tanh)
1611THUNK_NATIVE_F(tanpi)
1612
1613#undef THUNK_NATIVE_F
1614#undef THUNK_NATIVE_F_F
1615#undef THUNK_NATIVE_F_I
1616#undef THUNK_NATIVE_F_FP
1617
1618float __attribute__((overloadable)) native_normalize(float v) { return fast_normalize(v);}
1619float2 __attribute__((overloadable)) native_normalize(float2 v) { return fast_normalize(v);}
1620float3 __attribute__((overloadable)) native_normalize(float3 v) { return fast_normalize(v);}
1621float4 __attribute__((overloadable)) native_normalize(float4 v) { return fast_normalize(v);}
1622
1623float __attribute__((overloadable)) native_distance(float v1, float v2) { return fast_distance(v1, v2);}
1624float __attribute__((overloadable)) native_distance(float2 v1, float2 v2) { return fast_distance(v1, v2);}
1625float __attribute__((overloadable)) native_distance(float3 v1, float3 v2) { return fast_distance(v1, v2);}
1626float __attribute__((overloadable)) native_distance(float4 v1, float4 v2) { return fast_distance(v1, v2);}
1627
1628float __attribute__((overloadable)) native_length(float v) { return fast_length(v);}
1629float __attribute__((overloadable)) native_length(float2 v) { return fast_length(v);}
1630float __attribute__((overloadable)) native_length(float3 v) { return fast_length(v);}
1631float __attribute__((overloadable)) native_length(float4 v) { return fast_length(v);}
1632
1633float __attribute__((overloadable)) native_divide(float v1, float v2) { return v1 / v2;}
1634float2 __attribute__((overloadable)) native_divide(float2 v1, float2 v2) { return v1 / v2;}
1635float3 __attribute__((overloadable)) native_divide(float3 v1, float3 v2) { return v1 / v2;}
1636float4 __attribute__((overloadable)) native_divide(float4 v1, float4 v2) { return v1 / v2;}
1637
1638float __attribute__((overloadable)) native_recip(float v) { return 1.f / v;}
1639float2 __attribute__((overloadable)) native_recip(float2 v) { return ((float2)1.f) / v;}
1640float3 __attribute__((overloadable)) native_recip(float3 v) { return ((float3)1.f) / v;}
1641float4 __attribute__((overloadable)) native_recip(float4 v) { return ((float4)1.f) / v;}
1642
1643
1644
1645
1646
1647#undef FN_FUNC_FN
1648#undef IN_FUNC_FN
1649#undef FN_FUNC_FN_FN
1650#undef FN_FUNC_FN_F
1651#undef FN_FUNC_FN_IN
1652#undef FN_FUNC_FN_I
1653#undef FN_FUNC_FN_PFN
1654#undef FN_FUNC_FN_PIN
1655#undef FN_FUNC_FN_FN_FN
1656#undef FN_FUNC_FN_FN_PIN
1657#undef XN_FUNC_YN
1658#undef UIN_FUNC_IN
1659#undef IN_FUNC_IN
1660#undef XN_FUNC_XN_XN_BODY
1661#undef IN_FUNC_IN_IN_BODY
1662
1663typedef union {
1664  half hval;
1665  short sval;
1666} fp16_shape_type;
1667
1668/* half h = unsigned short s; */
1669#define SET_HALF_WORD(h, s) \
1670do {                        \
1671  fp16_shape_type fp16_u;   \
1672  fp16_u.sval = (s);        \
1673  (h) = fp16_u.hval;        \
1674} while (0)
1675
1676static const unsigned short kHalfPositiveInfinity = 0x7c00;
1677
1678/* Define f16 functions of the form
1679 *     HN output = fn(HN input)
1680 * where HN is scalar or vector half type
1681 */
1682#define HN_FUNC_HN(fn)                                                    \
1683extern half __attribute__((overloadable)) fn(half h) {                    \
1684    return (half) fn((float) h);                                          \
1685}                                                                         \
1686extern half2 __attribute__((overloadable)) fn(half2 v) {                  \
1687  return convert_half2(fn(convert_float2(v)));                            \
1688}                                                                         \
1689extern half3 __attribute__((overloadable)) fn(half3 v) {                  \
1690  return convert_half3(fn(convert_float3(v)));                            \
1691}                                                                         \
1692extern half4 __attribute__((overloadable)) fn(half4 v) {                  \
1693  return convert_half4(fn(convert_float4(v)));                            \
1694}
1695
1696/* Define f16 functions of the form
1697 *     HN output = fn(HN input1, HN input2)
1698 * where HN is scalar or vector half type
1699 */
1700#define HN_FUNC_HN_HN(fn)                                                 \
1701extern half __attribute__((overloadable)) fn(half h1, half h2) {          \
1702    return (half) fn((float) h1, (float) h2);                             \
1703}                                                                         \
1704extern half2 __attribute__((overloadable)) fn(half2 v1, half2 v2) {       \
1705  return convert_half2(fn(convert_float2(v1),                             \
1706                          convert_float2(v2)));                           \
1707}                                                                         \
1708extern half3 __attribute__((overloadable)) fn(half3 v1, half3 v2) {       \
1709  return convert_half3(fn(convert_float3(v1),                             \
1710                          convert_float3(v2)));                           \
1711}                                                                         \
1712extern half4 __attribute__((overloadable)) fn(half4 v1, half4 v2) {       \
1713  return convert_half4(fn(convert_float4(v1),                             \
1714                          convert_float4(v2)));                           \
1715}
1716
1717/* Define f16 functions of the form
1718 *     HN output = fn(HN input1, half input2)
1719 * where HN is scalar or vector half type
1720 */
1721#define HN_FUNC_HN_H(fn)                                                  \
1722extern half2 __attribute__((overloadable)) fn(half2 v1, half v2) {        \
1723  return convert_half2(fn(convert_float2(v1), (float) v2));               \
1724}                                                                         \
1725extern half3 __attribute__((overloadable)) fn(half3 v1, half v2) {        \
1726  return convert_half3(fn(convert_float3(v1), (float) v2));               \
1727}                                                                         \
1728extern half4 __attribute__((overloadable)) fn(half4 v1, half v2) {        \
1729  return convert_half4(fn(convert_float4(v1), (float) v2));               \
1730}
1731
1732/* Define f16 functions of the form
1733 *     HN output = fn(HN input1, HN input2, HN input3)
1734 * where HN is scalar or vector half type
1735 */
1736#define HN_FUNC_HN_HN_HN(fn)                                                   \
1737extern half __attribute__((overloadable)) fn(half h1, half h2, half h3) {      \
1738    return (half) fn((float) h1, (float) h2, (float) h3);                      \
1739}                                                                              \
1740extern half2 __attribute__((overloadable)) fn(half2 v1, half2 v2, half2 v3) {  \
1741  return convert_half2(fn(convert_float2(v1),                                  \
1742                          convert_float2(v2),                                  \
1743                          convert_float2(v3)));                                \
1744}                                                                              \
1745extern half3 __attribute__((overloadable)) fn(half3 v1, half3 v2, half3 v3) {  \
1746  return convert_half3(fn(convert_float3(v1),                                  \
1747                          convert_float3(v2),                                  \
1748                          convert_float3(v3)));                                \
1749}                                                                              \
1750extern half4 __attribute__((overloadable)) fn(half4 v1, half4 v2, half4 v3) {  \
1751  return convert_half4(fn(convert_float4(v1),                                  \
1752                          convert_float4(v2),                                  \
1753                          convert_float4(v3)));                                \
1754}
1755
1756/* Define f16 functions of the form
1757 *     HN output = fn(HN input1, IN input2)
1758 * where HN is scalar or vector half type and IN the equivalent integer type
1759 * of same vector length.
1760 */
1761#define HN_FUNC_HN_IN(fn)                                                 \
1762extern half __attribute__((overloadable)) fn(half h1, int v) {            \
1763    return (half) fn((float) h1, v);                                      \
1764}                                                                         \
1765extern half2 __attribute__((overloadable)) fn(half2 v1, int2 v2) {        \
1766  return convert_half2(fn(convert_float2(v1), v2));                       \
1767}                                                                         \
1768extern half3 __attribute__((overloadable)) fn(half3 v1, int3 v2) {        \
1769  return convert_half3(fn(convert_float3(v1), v2));                       \
1770}                                                                         \
1771extern half4 __attribute__((overloadable)) fn(half4 v1, int4 v2) {        \
1772  return convert_half4(fn(convert_float4(v1), v2));                       \
1773}
1774
1775/* Define f16 functions of the form
1776 *     half output = fn(HN input1)
1777 * where HN is a scalar or vector half type.
1778 */
1779#define H_FUNC_HN(fn)                                                     \
1780extern half __attribute__((overloadable)) fn(half h) {                    \
1781    return (half) fn((float) h);                                          \
1782}                                                                         \
1783extern half __attribute__((overloadable)) fn(half2 v) {                   \
1784  return fn(convert_float2(v));                                           \
1785}                                                                         \
1786extern half __attribute__((overloadable)) fn(half3 v) {                   \
1787  return fn(convert_float3(v));                                           \
1788}                                                                         \
1789extern half __attribute__((overloadable)) fn(half4 v) {                   \
1790  return fn(convert_float4(v));                                           \
1791}
1792
1793/* Define f16 functions of the form
1794 *     half output = fn(HN input1, HN input2)
1795 * where HN is a scalar or vector half type.
1796 */
1797#define H_FUNC_HN_HN(fn)                                                  \
1798extern half __attribute__((overloadable)) fn(half h1, half h2) {          \
1799    return (half) fn((float) h1, (float) h2);                             \
1800}                                                                         \
1801extern half __attribute__((overloadable)) fn(half2 v1, half2 v2) {        \
1802  return fn(convert_float2(v1), convert_float2(v2));                      \
1803}                                                                         \
1804extern half __attribute__((overloadable)) fn(half3 v1, half3 v2) {        \
1805  return fn(convert_float3(v1), convert_float3(v2));                      \
1806}                                                                         \
1807extern half __attribute__((overloadable)) fn(half4 v1, half4 v2) {        \
1808  return fn(convert_float4(v1), convert_float4(v2));                      \
1809}
1810
1811/* Define f16 functions of the form
1812 *     HN output = fn(HN input1, HN input2)
1813 * where HN is a vector half type.  The functions are defined to call the
1814 * scalar function of the same name.
1815 */
1816#define SCALARIZE_HN_FUNC_HN_HN(fn)                                       \
1817extern half2 __attribute__((overloadable)) fn(half2 v1, half2 v2) {       \
1818  half2 ret;                                                              \
1819  ret.x = fn(v1.x, v2.x);                                                 \
1820  ret.y = fn(v1.y, v2.y);                                                 \
1821  return ret;                                                             \
1822}                                                                         \
1823extern half3 __attribute__((overloadable)) fn(half3 v1, half3 v2) {       \
1824  half3 ret;                                                              \
1825  ret.x = fn(v1.x, v2.x);                                                 \
1826  ret.y = fn(v1.y, v2.y);                                                 \
1827  ret.z = fn(v1.z, v2.z);                                                 \
1828  return ret;                                                             \
1829}                                                                         \
1830extern half4 __attribute__((overloadable)) fn(half4 v1, half4 v2) {       \
1831  half4 ret;                                                              \
1832  ret.x = fn(v1.x, v2.x);                                                 \
1833  ret.y = fn(v1.y, v2.y);                                                 \
1834  ret.z = fn(v1.z, v2.z);                                                 \
1835  ret.w = fn(v1.w, v2.w);                                                 \
1836  return ret;                                                             \
1837}                                                                         \
1838
1839HN_FUNC_HN(acos);
1840HN_FUNC_HN(acosh);
1841HN_FUNC_HN(acospi);
1842HN_FUNC_HN(asin);
1843HN_FUNC_HN(asinh);
1844HN_FUNC_HN(asinpi);
1845HN_FUNC_HN(atan);
1846HN_FUNC_HN(atanh);
1847HN_FUNC_HN(atanpi);
1848HN_FUNC_HN_HN(atan2);
1849HN_FUNC_HN_HN(atan2pi);
1850
1851HN_FUNC_HN(cbrt);
1852HN_FUNC_HN(ceil);
1853
1854// TODO Add copysign
1855
1856HN_FUNC_HN(cos);
1857HN_FUNC_HN(cosh);
1858HN_FUNC_HN(cospi);
1859
1860extern half3 __attribute__((overloadable)) cross(half3 lhs, half3 rhs) {
1861    half3 r;
1862    r.x = lhs.y * rhs.z  - lhs.z * rhs.y;
1863    r.y = lhs.z * rhs.x  - lhs.x * rhs.z;
1864    r.z = lhs.x * rhs.y  - lhs.y * rhs.x;
1865    return r;
1866}
1867
1868extern half4 __attribute__((overloadable)) cross(half4 lhs, half4 rhs) {
1869    half4 r;
1870    r.x = lhs.y * rhs.z  - lhs.z * rhs.y;
1871    r.y = lhs.z * rhs.x  - lhs.x * rhs.z;
1872    r.z = lhs.x * rhs.y  - lhs.y * rhs.x;
1873    r.w = 0.f;
1874    return r;
1875}
1876
1877HN_FUNC_HN(degrees);
1878H_FUNC_HN_HN(distance);
1879H_FUNC_HN_HN(dot);
1880
1881HN_FUNC_HN(erf);
1882HN_FUNC_HN(erfc);
1883HN_FUNC_HN(exp);
1884HN_FUNC_HN(exp10);
1885HN_FUNC_HN(exp2);
1886HN_FUNC_HN(expm1);
1887
1888HN_FUNC_HN(fabs);
1889HN_FUNC_HN_HN(fdim);
1890HN_FUNC_HN(floor);
1891HN_FUNC_HN_HN_HN(fma);
1892HN_FUNC_HN_HN(fmax);
1893HN_FUNC_HN_H(fmax);
1894HN_FUNC_HN_HN(fmin);
1895HN_FUNC_HN_H(fmin);
1896HN_FUNC_HN_HN(fmod);
1897
1898// TODO Add (both variants) of fract
1899// TODO Add frexp
1900
1901HN_FUNC_HN_HN(hypot);
1902
1903// TODO Add ilogb
1904
1905HN_FUNC_HN_IN(ldexp);
1906extern half2 __attribute__((overloadable)) ldexp(half2 v, int exponent) {
1907    return convert_half2(ldexp(convert_float2(v), exponent));
1908}
1909extern half3 __attribute__((overloadable)) ldexp(half3 v, int exponent) {
1910    return convert_half3(ldexp(convert_float3(v), exponent));
1911}
1912extern half4 __attribute__((overloadable)) ldexp(half4 v, int exponent) {
1913    return convert_half4(ldexp(convert_float4(v), exponent));
1914}
1915
1916H_FUNC_HN(length);
1917HN_FUNC_HN(lgamma);
1918
1919extern half __attribute__((overloadable)) lgamma(half h, int *signp) {
1920    return (half) lgamma((float) h, signp);
1921}
1922extern half2 __attribute__((overloadable)) lgamma(half2 v, int2 *signp) {
1923    return convert_half2(lgamma(convert_float2(v), signp));
1924}
1925extern half3 __attribute__((overloadable)) lgamma(half3 v, int3 *signp) {
1926    return convert_half3(lgamma(convert_float3(v), signp));
1927}
1928extern half4 __attribute__((overloadable)) lgamma(half4 v, int4 *signp) {
1929    return convert_half4(lgamma(convert_float4(v), signp));
1930}
1931
1932HN_FUNC_HN(log);
1933HN_FUNC_HN(log10);
1934HN_FUNC_HN(log1p);
1935HN_FUNC_HN(log2);
1936HN_FUNC_HN(logb);
1937
1938HN_FUNC_HN_HN_HN(mad);
1939HN_FUNC_HN_HN(max);
1940HN_FUNC_HN_H(max); // TODO can this be arch-specific similar to _Z3maxDv2_ff?
1941HN_FUNC_HN_HN(min);
1942HN_FUNC_HN_H(min); // TODO can this be arch-specific similar to _Z3minDv2_ff?
1943
1944extern half __attribute__((overloadable)) mix(half start, half stop, half amount) {
1945    return start + (stop - start) * amount;
1946}
1947extern half2 __attribute__((overloadable)) mix(half2 start, half2 stop, half2 amount) {
1948    return start + (stop - start) * amount;
1949}
1950extern half3 __attribute__((overloadable)) mix(half3 start, half3 stop, half3 amount) {
1951    return start + (stop - start) * amount;
1952}
1953extern half4 __attribute__((overloadable)) mix(half4 start, half4 stop, half4 amount) {
1954    return start + (stop - start) * amount;
1955}
1956extern half2 __attribute__((overloadable)) mix(half2 start, half2 stop, half amount) {
1957    return start + (stop - start) * amount;
1958}
1959extern half3 __attribute__((overloadable)) mix(half3 start, half3 stop, half amount) {
1960    return start + (stop - start) * amount;
1961}
1962extern half4 __attribute__((overloadable)) mix(half4 start, half4 stop, half amount) {
1963    return start + (stop - start) * amount;
1964}
1965
1966// TODO Define modf.  Does it make sense to delegate to the float?
1967
1968half __attribute__((overloadable)) nan_half() {
1969  unsigned short nan_short = kHalfPositiveInfinity | 0x0200;
1970  half nan;
1971  SET_HALF_WORD(nan, nan_short);
1972  return nan;
1973}
1974
1975// TODO Add nextafter
1976
1977HN_FUNC_HN(normalize);
1978
1979HN_FUNC_HN_HN(pow);
1980HN_FUNC_HN_IN(pown);
1981HN_FUNC_HN_HN(powr);
1982HN_FUNC_HN(radians);
1983HN_FUNC_HN_HN(remainder);
1984
1985extern half __attribute__((overloadable)) remquo(half n, half d, int *quo) {
1986    return (float) remquo((float) n, (float) d, quo);
1987}
1988extern half2 __attribute__((overloadable)) remquo(half2 n, half2 d, int2 *quo) {
1989    return convert_half2(remquo(convert_float2(d), convert_float2(n), quo));
1990}
1991extern half3 __attribute__((overloadable)) remquo(half3 n, half3 d, int3 *quo) {
1992    return convert_half3(remquo(convert_float3(d), convert_float3(n), quo));
1993}
1994extern half4 __attribute__((overloadable)) remquo(half4 n, half4 d, int4 *quo) {
1995    return convert_half4(remquo(convert_float4(d), convert_float4(n), quo));
1996}
1997
1998HN_FUNC_HN(rint);
1999HN_FUNC_HN_IN(rootn);
2000HN_FUNC_HN(round);
2001HN_FUNC_HN(rsqrt);
2002
2003extern half __attribute__((overloadable)) sign(half h) {
2004    if (h > 0) return (half) 1.f;
2005    if (h < 0) return (half) -1.f;
2006    return h;
2007}
2008extern half2 __attribute__((overloadable)) sign(half2 v) {
2009    half2 ret;
2010    ret.x = sign(v.x);
2011    ret.y = sign(v.y);
2012    return ret;
2013}
2014extern half3 __attribute__((overloadable)) sign(half3 v) {
2015    half3 ret;
2016    ret.x = sign(v.x);
2017    ret.y = sign(v.y);
2018    ret.z = sign(v.z);
2019    return ret;
2020}
2021extern half4 __attribute__((overloadable)) sign(half4 v) {
2022    half4 ret;
2023    ret.x = sign(v.x);
2024    ret.y = sign(v.y);
2025    ret.z = sign(v.z);
2026    ret.w = sign(v.w);
2027    return ret;
2028}
2029
2030HN_FUNC_HN(sin);
2031
2032extern half __attribute__((overloadable)) sincos(half v, half *cosptr) {
2033    *cosptr = cos(v);
2034    return sin(v);
2035}
2036// TODO verify if LLVM eliminates the duplicate convert_float2
2037extern half2 __attribute__((overloadable)) sincos(half2 v, half2 *cosptr) {
2038    *cosptr = cos(v);
2039    return sin(v);
2040}
2041extern half3 __attribute__((overloadable)) sincos(half3 v, half3 *cosptr) {
2042    *cosptr = cos(v);
2043    return sin(v);
2044}
2045extern half4 __attribute__((overloadable)) sincos(half4 v, half4 *cosptr) {
2046    *cosptr = cos(v);
2047    return sin(v);
2048}
2049
2050HN_FUNC_HN(sinh);
2051HN_FUNC_HN(sinpi);
2052HN_FUNC_HN(sqrt);
2053
2054extern half __attribute__((overloadable)) step(half edge, half v) {
2055    return (v < edge) ? 0.f : 1.f;
2056}
2057extern half2 __attribute__((overloadable)) step(half2 edge, half2 v) {
2058    half2 r;
2059    r.x = (v.x < edge.x) ? 0.f : 1.f;
2060    r.y = (v.y < edge.y) ? 0.f : 1.f;
2061    return r;
2062}
2063extern half3 __attribute__((overloadable)) step(half3 edge, half3 v) {
2064    half3 r;
2065    r.x = (v.x < edge.x) ? 0.f : 1.f;
2066    r.y = (v.y < edge.y) ? 0.f : 1.f;
2067    r.z = (v.z < edge.z) ? 0.f : 1.f;
2068    return r;
2069}
2070extern half4 __attribute__((overloadable)) step(half4 edge, half4 v) {
2071    half4 r;
2072    r.x = (v.x < edge.x) ? 0.f : 1.f;
2073    r.y = (v.y < edge.y) ? 0.f : 1.f;
2074    r.z = (v.z < edge.z) ? 0.f : 1.f;
2075    r.w = (v.w < edge.w) ? 0.f : 1.f;
2076    return r;
2077}
2078extern half2 __attribute__((overloadable)) step(half2 edge, half v) {
2079    half2 r;
2080    r.x = (v < edge.x) ? 0.f : 1.f;
2081    r.y = (v < edge.y) ? 0.f : 1.f;
2082    return r;
2083}
2084extern half3 __attribute__((overloadable)) step(half3 edge, half v) {
2085    half3 r;
2086    r.x = (v < edge.x) ? 0.f : 1.f;
2087    r.y = (v < edge.y) ? 0.f : 1.f;
2088    r.z = (v < edge.z) ? 0.f : 1.f;
2089    return r;
2090}
2091extern half4 __attribute__((overloadable)) step(half4 edge, half v) {
2092    half4 r;
2093    r.x = (v < edge.x) ? 0.f : 1.f;
2094    r.y = (v < edge.y) ? 0.f : 1.f;
2095    r.z = (v < edge.z) ? 0.f : 1.f;
2096    r.w = (v < edge.w) ? 0.f : 1.f;
2097    return r;
2098}
2099extern half2 __attribute__((overloadable)) step(half edge, half2 v) {
2100    half2 r;
2101    r.x = (v.x < edge) ? 0.f : 1.f;
2102    r.y = (v.y < edge) ? 0.f : 1.f;
2103    return r;
2104}
2105extern half3 __attribute__((overloadable)) step(half edge, half3 v) {
2106    half3 r;
2107    r.x = (v.x < edge) ? 0.f : 1.f;
2108    r.y = (v.y < edge) ? 0.f : 1.f;
2109    r.z = (v.z < edge) ? 0.f : 1.f;
2110    return r;
2111}
2112extern half4 __attribute__((overloadable)) step(half edge, half4 v) {
2113    half4 r;
2114    r.x = (v.x < edge) ? 0.f : 1.f;
2115    r.y = (v.y < edge) ? 0.f : 1.f;
2116    r.z = (v.z < edge) ? 0.f : 1.f;
2117    r.w = (v.w < edge) ? 0.f : 1.f;
2118    return r;
2119}
2120
2121HN_FUNC_HN(tan);
2122HN_FUNC_HN(tanh);
2123HN_FUNC_HN(tanpi);
2124HN_FUNC_HN(tgamma);
2125HN_FUNC_HN(trunc); // TODO: rethink: needs half-specific implementation?
2126
2127HN_FUNC_HN(native_acos);
2128HN_FUNC_HN(native_acosh);
2129HN_FUNC_HN(native_acospi);
2130HN_FUNC_HN(native_asin);
2131HN_FUNC_HN(native_asinh);
2132HN_FUNC_HN(native_asinpi);
2133HN_FUNC_HN(native_atan);
2134HN_FUNC_HN(native_atanh);
2135HN_FUNC_HN(native_atanpi);
2136HN_FUNC_HN_HN(native_atan2);
2137HN_FUNC_HN_HN(native_atan2pi);
2138
2139HN_FUNC_HN(native_cbrt);
2140HN_FUNC_HN(native_cos);
2141HN_FUNC_HN(native_cosh);
2142HN_FUNC_HN(native_cospi);
2143
2144H_FUNC_HN_HN(native_distance);
2145HN_FUNC_HN_HN(native_divide);
2146
2147HN_FUNC_HN(native_exp);
2148HN_FUNC_HN(native_exp10);
2149HN_FUNC_HN(native_exp2);
2150HN_FUNC_HN(native_expm1);
2151
2152HN_FUNC_HN_HN(native_hypot);
2153H_FUNC_HN(native_length);
2154
2155HN_FUNC_HN(native_log);
2156HN_FUNC_HN(native_log10);
2157HN_FUNC_HN(native_log1p);
2158HN_FUNC_HN(native_log2);
2159
2160HN_FUNC_HN(native_normalize);
2161
2162HN_FUNC_HN_HN(native_powr); // TODO are parameter limits different for half?
2163
2164HN_FUNC_HN(native_recip);
2165HN_FUNC_HN_IN(native_rootn);
2166HN_FUNC_HN(native_rsqrt);
2167
2168HN_FUNC_HN(native_sin);
2169
2170extern half __attribute__((overloadable)) native_sincos(half v, half *cosptr) {
2171    return sincos(v, cosptr);
2172}
2173extern half2 __attribute__((overloadable)) native_sincos(half2 v, half2 *cosptr) {
2174    return sincos(v, cosptr);
2175}
2176extern half3 __attribute__((overloadable)) native_sincos(half3 v, half3 *cosptr) {
2177    return sincos(v, cosptr);
2178}
2179extern half4 __attribute__((overloadable)) native_sincos(half4 v, half4 *cosptr) {
2180    return sincos(v, cosptr);
2181}
2182
2183HN_FUNC_HN(native_sinh);
2184HN_FUNC_HN(native_sinpi);
2185HN_FUNC_HN(native_sqrt);
2186
2187HN_FUNC_HN(native_tan);
2188HN_FUNC_HN(native_tanh);
2189HN_FUNC_HN(native_tanpi);
2190
2191#undef HN_FUNC_HN
2192#undef HN_FUNC_HN_HN
2193#undef HN_FUNC_HN_H
2194#undef HN_FUNC_HN_HN_HN
2195#undef HN_FUNC_HN_IN
2196#undef H_FUNC_HN
2197#undef H_FUNC_HN_HN
2198#undef SCALARIZE_HN_FUNC_HN_HN
2199
2200// exports unavailable mathlib functions to compat lib
2201
2202#ifdef RS_COMPATIBILITY_LIB
2203
2204// !!! DANGER !!!
2205// These functions are potentially missing on older Android versions.
2206// Work around the issue by supplying our own variants.
2207// !!! DANGER !!!
2208
2209// The logbl() implementation is taken from the latest bionic/, since
2210// double == long double on Android.
2211extern "C" long double logbl(long double x) { return logb(x); }
2212
2213// __aeabi_idiv0 is a missing function in libcompiler_rt.so, so we just
2214// pick the simplest implementation based on the ARM EABI doc.
2215extern "C" int __aeabi_idiv0(int v) { return v; }
2216
2217#endif // compatibility lib
2218