rs_cl.c revision 53826db2ea7f26a241be881c2b454ab3e1e5dd50
1#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    /* The mantissa of a float has fewer bits than an int (24 effective vs. 31).
517     * For very large ints, we'll lose whether the exponent is even or odd, making
518     * the selection of a correct sign incorrect.  We correct this.  Use copysign
519     * to handle the negative zero case.
520     */
521    float sign = (p & 0x1) ? copysign(1.f, v) : 1.f;
522    float f = pow(v, (float)p);
523    return copysign(f, sign);
524}
525FN_FUNC_FN_IN(pown)
526
527extern float __attribute__((overloadable)) powr(float v, float p) {
528    return pow(v, p);
529}
530extern float2 __attribute__((overloadable)) powr(float2 v, float2 p) {
531    return pow(v, p);
532}
533extern float3 __attribute__((overloadable)) powr(float3 v, float3 p) {
534    return pow(v, p);
535}
536extern float4 __attribute__((overloadable)) powr(float4 v, float4 p) {
537    return pow(v, p);
538}
539
540extern float __attribute__((overloadable)) remainder(float, float);
541FN_FUNC_FN_FN(remainder)
542
543extern float __attribute__((overloadable)) remquo(float, float, int *);
544FN_FUNC_FN_FN_PIN(remquo)
545
546extern float __attribute__((overloadable)) rint(float);
547FN_FUNC_FN(rint)
548
549extern float __attribute__((overloadable)) rootn(float v, int r) {
550    if (r == 0) {
551        return nan(0);
552    }
553
554    if (iszero(v)) {
555        if (r < 0) {
556            if (r & 1) {
557                return copysign(posinf(), v);
558            } else {
559                return posinf();
560            }
561        } else {
562            if (r & 1) {
563                return copysign(0.f, v);
564            } else {
565                return 0.f;
566            }
567        }
568    }
569
570    if (!isinf(v) && !isnan(v) && (v < 0.f)) {
571        if (r & 1) {
572            return (-1.f * pow(-1.f * v, 1.f / r));
573        } else {
574            return nan(0);
575        }
576    }
577
578    return pow(v, 1.f / r);
579}
580FN_FUNC_FN_IN(rootn);
581
582extern float __attribute__((overloadable)) round(float);
583FN_FUNC_FN(round)
584
585
586extern float __attribute__((overloadable)) sqrt(float);
587extern float __attribute__((overloadable)) rsqrt(float v) {
588    return 1.f / sqrt(v);
589}
590
591#if !defined(__i386__) && !defined(__x86_64__)
592FN_FUNC_FN(sqrt)
593#endif // !defined(__i386__) && !defined(__x86_64__)
594
595FN_FUNC_FN(rsqrt)
596
597extern float __attribute__((overloadable)) sin(float);
598FN_FUNC_FN(sin)
599
600extern float __attribute__((overloadable)) sincos(float v, float *cosptr) {
601    *cosptr = cos(v);
602    return sin(v);
603}
604extern float2 __attribute__((overloadable)) sincos(float2 v, float2 *cosptr) {
605    *cosptr = cos(v);
606    return sin(v);
607}
608extern float3 __attribute__((overloadable)) sincos(float3 v, float3 *cosptr) {
609    *cosptr = cos(v);
610    return sin(v);
611}
612extern float4 __attribute__((overloadable)) sincos(float4 v, float4 *cosptr) {
613    *cosptr = cos(v);
614    return sin(v);
615}
616
617extern float __attribute__((overloadable)) sinh(float);
618FN_FUNC_FN(sinh)
619
620extern float __attribute__((overloadable)) sinpi(float v) {
621    return sin(v * M_PI);
622}
623FN_FUNC_FN(sinpi)
624
625extern float __attribute__((overloadable)) tan(float);
626FN_FUNC_FN(tan)
627
628extern float __attribute__((overloadable)) tanh(float);
629FN_FUNC_FN(tanh)
630
631extern float __attribute__((overloadable)) tanpi(float v) {
632    return tan(v * M_PI);
633}
634FN_FUNC_FN(tanpi)
635
636
637extern float __attribute__((overloadable)) tgamma(float);
638FN_FUNC_FN(tgamma)
639
640extern float __attribute__((overloadable)) trunc(float);
641FN_FUNC_FN(trunc)
642
643// Int ops (partial), 6.11.3
644
645#define XN_FUNC_YN(typeout, fnc, typein)                                \
646extern typeout __attribute__((overloadable)) fnc(typein);               \
647extern typeout##2 __attribute__((overloadable)) fnc(typein##2 v) {  \
648    typeout##2 r;                                                       \
649    r.x = fnc(v.x);                                                     \
650    r.y = fnc(v.y);                                                     \
651    return r;                                                           \
652}                                                                       \
653extern typeout##3 __attribute__((overloadable)) fnc(typein##3 v) {  \
654    typeout##3 r;                                                       \
655    r.x = fnc(v.x);                                                     \
656    r.y = fnc(v.y);                                                     \
657    r.z = fnc(v.z);                                                     \
658    return r;                                                           \
659}                                                                       \
660extern typeout##4 __attribute__((overloadable)) fnc(typein##4 v) {  \
661    typeout##4 r;                                                       \
662    r.x = fnc(v.x);                                                     \
663    r.y = fnc(v.y);                                                     \
664    r.z = fnc(v.z);                                                     \
665    r.w = fnc(v.w);                                                     \
666    return r;                                                           \
667}
668
669
670#define UIN_FUNC_IN(fnc)          \
671XN_FUNC_YN(uchar, fnc, char)      \
672XN_FUNC_YN(ushort, fnc, short)    \
673XN_FUNC_YN(uint, fnc, int)
674
675#define IN_FUNC_IN(fnc)           \
676XN_FUNC_YN(uchar, fnc, uchar)     \
677XN_FUNC_YN(char, fnc, char)       \
678XN_FUNC_YN(ushort, fnc, ushort)   \
679XN_FUNC_YN(short, fnc, short)     \
680XN_FUNC_YN(uint, fnc, uint)       \
681XN_FUNC_YN(int, fnc, int)
682
683
684#define XN_FUNC_XN_XN_BODY(type, fnc, body)         \
685extern type __attribute__((overloadable))       \
686        fnc(type v1, type v2) {                     \
687    return body;                                    \
688}                                                   \
689extern type##2 __attribute__((overloadable))    \
690        fnc(type##2 v1, type##2 v2) {               \
691    type##2 r;                                      \
692    r.x = fnc(v1.x, v2.x);                          \
693    r.y = fnc(v1.y, v2.y);                          \
694    return r;                                       \
695}                                                   \
696extern type##3 __attribute__((overloadable))    \
697        fnc(type##3 v1, type##3 v2) {               \
698    type##3 r;                                      \
699    r.x = fnc(v1.x, v2.x);                          \
700    r.y = fnc(v1.y, v2.y);                          \
701    r.z = fnc(v1.z, v2.z);                          \
702    return r;                                       \
703}                                                   \
704extern type##4 __attribute__((overloadable))    \
705        fnc(type##4 v1, type##4 v2) {               \
706    type##4 r;                                      \
707    r.x = fnc(v1.x, v2.x);                          \
708    r.y = fnc(v1.y, v2.y);                          \
709    r.z = fnc(v1.z, v2.z);                          \
710    r.w = fnc(v1.w, v2.w);                          \
711    return r;                                       \
712}
713
714#define IN_FUNC_IN_IN_BODY(fnc, body) \
715XN_FUNC_XN_XN_BODY(uchar, fnc, body)  \
716XN_FUNC_XN_XN_BODY(char, fnc, body)   \
717XN_FUNC_XN_XN_BODY(ushort, fnc, body) \
718XN_FUNC_XN_XN_BODY(short, fnc, body)  \
719XN_FUNC_XN_XN_BODY(uint, fnc, body)   \
720XN_FUNC_XN_XN_BODY(int, fnc, body)    \
721XN_FUNC_XN_XN_BODY(float, fnc, body)
722
723
724/**
725 * abs
726 */
727extern uint32_t __attribute__((overloadable)) abs(int32_t v) {
728    if (v < 0)
729        return -v;
730    return v;
731}
732extern uint16_t __attribute__((overloadable)) abs(int16_t v) {
733    if (v < 0)
734        return -v;
735    return v;
736}
737extern uint8_t __attribute__((overloadable)) abs(int8_t v) {
738    if (v < 0)
739        return -v;
740    return v;
741}
742
743/**
744 * clz
745 * __builtin_clz only accepts a 32-bit unsigned int, so every input will be
746 * expanded to 32 bits. For our smaller data types, we need to subtract off
747 * these unused top bits (that will be always be composed of zeros).
748 */
749extern uint32_t __attribute__((overloadable)) clz(uint32_t v) {
750    return __builtin_clz(v);
751}
752extern uint16_t __attribute__((overloadable)) clz(uint16_t v) {
753    return __builtin_clz(v) - 16;
754}
755extern uint8_t __attribute__((overloadable)) clz(uint8_t v) {
756    return __builtin_clz(v) - 24;
757}
758extern int32_t __attribute__((overloadable)) clz(int32_t v) {
759    return __builtin_clz(v);
760}
761extern int16_t __attribute__((overloadable)) clz(int16_t v) {
762    return __builtin_clz(((uint32_t)v) & 0x0000ffff) - 16;
763}
764extern int8_t __attribute__((overloadable)) clz(int8_t v) {
765    return __builtin_clz(((uint32_t)v) & 0x000000ff) - 24;
766}
767
768
769UIN_FUNC_IN(abs)
770IN_FUNC_IN(clz)
771
772
773// 6.11.4
774
775
776extern float __attribute__((overloadable)) degrees(float radians) {
777    return radians * (180.f / M_PI);
778}
779extern float2 __attribute__((overloadable)) degrees(float2 radians) {
780    return radians * (180.f / M_PI);
781}
782extern float3 __attribute__((overloadable)) degrees(float3 radians) {
783    return radians * (180.f / M_PI);
784}
785extern float4 __attribute__((overloadable)) degrees(float4 radians) {
786    return radians * (180.f / M_PI);
787}
788
789extern float __attribute__((overloadable)) mix(float start, float stop, float amount) {
790    return start + (stop - start) * amount;
791}
792extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float2 amount) {
793    return start + (stop - start) * amount;
794}
795extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float3 amount) {
796    return start + (stop - start) * amount;
797}
798extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float4 amount) {
799    return start + (stop - start) * amount;
800}
801extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float amount) {
802    return start + (stop - start) * amount;
803}
804extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float amount) {
805    return start + (stop - start) * amount;
806}
807extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float amount) {
808    return start + (stop - start) * amount;
809}
810
811extern float __attribute__((overloadable)) radians(float degrees) {
812    return degrees * (M_PI / 180.f);
813}
814extern float2 __attribute__((overloadable)) radians(float2 degrees) {
815    return degrees * (M_PI / 180.f);
816}
817extern float3 __attribute__((overloadable)) radians(float3 degrees) {
818    return degrees * (M_PI / 180.f);
819}
820extern float4 __attribute__((overloadable)) radians(float4 degrees) {
821    return degrees * (M_PI / 180.f);
822}
823
824extern float __attribute__((overloadable)) step(float edge, float v) {
825    return (v < edge) ? 0.f : 1.f;
826}
827extern float2 __attribute__((overloadable)) step(float2 edge, float2 v) {
828    float2 r;
829    r.x = (v.x < edge.x) ? 0.f : 1.f;
830    r.y = (v.y < edge.y) ? 0.f : 1.f;
831    return r;
832}
833extern float3 __attribute__((overloadable)) step(float3 edge, float3 v) {
834    float3 r;
835    r.x = (v.x < edge.x) ? 0.f : 1.f;
836    r.y = (v.y < edge.y) ? 0.f : 1.f;
837    r.z = (v.z < edge.z) ? 0.f : 1.f;
838    return r;
839}
840extern float4 __attribute__((overloadable)) step(float4 edge, float4 v) {
841    float4 r;
842    r.x = (v.x < edge.x) ? 0.f : 1.f;
843    r.y = (v.y < edge.y) ? 0.f : 1.f;
844    r.z = (v.z < edge.z) ? 0.f : 1.f;
845    r.w = (v.w < edge.w) ? 0.f : 1.f;
846    return r;
847}
848extern float2 __attribute__((overloadable)) step(float2 edge, float v) {
849    float2 r;
850    r.x = (v < edge.x) ? 0.f : 1.f;
851    r.y = (v < edge.y) ? 0.f : 1.f;
852    return r;
853}
854extern float3 __attribute__((overloadable)) step(float3 edge, float v) {
855    float3 r;
856    r.x = (v < edge.x) ? 0.f : 1.f;
857    r.y = (v < edge.y) ? 0.f : 1.f;
858    r.z = (v < edge.z) ? 0.f : 1.f;
859    return r;
860}
861extern float4 __attribute__((overloadable)) step(float4 edge, float v) {
862    float4 r;
863    r.x = (v < edge.x) ? 0.f : 1.f;
864    r.y = (v < edge.y) ? 0.f : 1.f;
865    r.z = (v < edge.z) ? 0.f : 1.f;
866    r.w = (v < edge.w) ? 0.f : 1.f;
867    return r;
868}
869extern float2 __attribute__((overloadable)) step(float edge, float2 v) {
870    float2 r;
871    r.x = (v.x < edge) ? 0.f : 1.f;
872    r.y = (v.y < edge) ? 0.f : 1.f;
873    return r;
874}
875extern float3 __attribute__((overloadable)) step(float edge, float3 v) {
876    float3 r;
877    r.x = (v.x < edge) ? 0.f : 1.f;
878    r.y = (v.y < edge) ? 0.f : 1.f;
879    r.z = (v.z < edge) ? 0.f : 1.f;
880    return r;
881}
882extern float4 __attribute__((overloadable)) step(float edge, float4 v) {
883    float4 r;
884    r.x = (v.x < edge) ? 0.f : 1.f;
885    r.y = (v.y < edge) ? 0.f : 1.f;
886    r.z = (v.z < edge) ? 0.f : 1.f;
887    r.w = (v.w < edge) ? 0.f : 1.f;
888    return r;
889}
890
891extern float __attribute__((overloadable)) smoothstep(float, float, float);
892extern float2 __attribute__((overloadable)) smoothstep(float2, float2, float2);
893extern float3 __attribute__((overloadable)) smoothstep(float3, float3, float3);
894extern float4 __attribute__((overloadable)) smoothstep(float4, float4, float4);
895extern float2 __attribute__((overloadable)) smoothstep(float, float, float2);
896extern float3 __attribute__((overloadable)) smoothstep(float, float, float3);
897extern float4 __attribute__((overloadable)) smoothstep(float, float, float4);
898
899extern float __attribute__((overloadable)) sign(float v) {
900    if (v > 0) return 1.f;
901    if (v < 0) return -1.f;
902    return v;
903}
904FN_FUNC_FN(sign)
905
906
907// 6.11.5
908extern float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs) {
909    float3 r;
910    r.x = lhs.y * rhs.z  - lhs.z * rhs.y;
911    r.y = lhs.z * rhs.x  - lhs.x * rhs.z;
912    r.z = lhs.x * rhs.y  - lhs.y * rhs.x;
913    return r;
914}
915
916extern float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs) {
917    float4 r;
918    r.x = lhs.y * rhs.z  - lhs.z * rhs.y;
919    r.y = lhs.z * rhs.x  - lhs.x * rhs.z;
920    r.z = lhs.x * rhs.y  - lhs.y * rhs.x;
921    r.w = 0.f;
922    return r;
923}
924
925#if !defined(__i386__) && !defined(__x86_64__)
926
927extern float __attribute__((overloadable)) dot(float lhs, float rhs) {
928    return lhs * rhs;
929}
930extern float __attribute__((overloadable)) dot(float2 lhs, float2 rhs) {
931    return lhs.x*rhs.x + lhs.y*rhs.y;
932}
933extern float __attribute__((overloadable)) dot(float3 lhs, float3 rhs) {
934    return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z;
935}
936extern float __attribute__((overloadable)) dot(float4 lhs, float4 rhs) {
937    return lhs.x*rhs.x + lhs.y*rhs.y + lhs.z*rhs.z + lhs.w*rhs.w;
938}
939
940extern float __attribute__((overloadable)) length(float v) {
941    return fabs(v);
942}
943extern float __attribute__((overloadable)) length(float2 v) {
944    return sqrt(v.x*v.x + v.y*v.y);
945}
946extern float __attribute__((overloadable)) length(float3 v) {
947    return sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
948}
949extern float __attribute__((overloadable)) length(float4 v) {
950    return sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
951}
952
953#else
954
955extern float __attribute__((overloadable)) length(float v);
956extern float __attribute__((overloadable)) length(float2 v);
957extern float __attribute__((overloadable)) length(float3 v);
958extern float __attribute__((overloadable)) length(float4 v);
959
960#endif // !defined(__i386__) && !defined(__x86_64__)
961
962extern float __attribute__((overloadable)) distance(float lhs, float rhs) {
963    return length(lhs - rhs);
964}
965extern float __attribute__((overloadable)) distance(float2 lhs, float2 rhs) {
966    return length(lhs - rhs);
967}
968extern float __attribute__((overloadable)) distance(float3 lhs, float3 rhs) {
969    return length(lhs - rhs);
970}
971extern float __attribute__((overloadable)) distance(float4 lhs, float4 rhs) {
972    return length(lhs - rhs);
973}
974
975/* For the normalization functions, vectors of length 0 should simply be
976 * returned (i.e. all the components of that vector are 0).
977 */
978extern float __attribute__((overloadable)) normalize(float v) {
979    if (v == 0.0f) {
980        return 0.0f;
981    } else if (v < 0.0f) {
982        return -1.0f;
983    } else {
984        return 1.0f;
985    }
986}
987extern float2 __attribute__((overloadable)) normalize(float2 v) {
988    float l = length(v);
989    return l == 0.0f ? v : v / l;
990}
991extern float3 __attribute__((overloadable)) normalize(float3 v) {
992    float l = length(v);
993    return l == 0.0f ? v : v / l;
994}
995extern float4 __attribute__((overloadable)) normalize(float4 v) {
996    float l = length(v);
997    return l == 0.0f ? v : v / l;
998}
999
1000extern float __attribute__((overloadable)) half_sqrt(float v) {
1001    return sqrt(v);
1002}
1003FN_FUNC_FN(half_sqrt)
1004
1005extern float __attribute__((overloadable)) fast_length(float v) {
1006    return fabs(v);
1007}
1008extern float __attribute__((overloadable)) fast_length(float2 v) {
1009    return half_sqrt(v.x*v.x + v.y*v.y);
1010}
1011extern float __attribute__((overloadable)) fast_length(float3 v) {
1012    return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z);
1013}
1014extern float __attribute__((overloadable)) fast_length(float4 v) {
1015    return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
1016}
1017
1018extern float __attribute__((overloadable)) fast_distance(float lhs, float rhs) {
1019    return fast_length(lhs - rhs);
1020}
1021extern float __attribute__((overloadable)) fast_distance(float2 lhs, float2 rhs) {
1022    return fast_length(lhs - rhs);
1023}
1024extern float __attribute__((overloadable)) fast_distance(float3 lhs, float3 rhs) {
1025    return fast_length(lhs - rhs);
1026}
1027extern float __attribute__((overloadable)) fast_distance(float4 lhs, float4 rhs) {
1028    return fast_length(lhs - rhs);
1029}
1030
1031extern float __attribute__((overloadable)) half_rsqrt(float);
1032
1033/* For the normalization functions, vectors of length 0 should simply be
1034 * returned (i.e. all the components of that vector are 0).
1035 */
1036extern float __attribute__((overloadable)) fast_normalize(float v) {
1037    if (v == 0.0f) {
1038        return 0.0f;
1039    } else if (v < 0.0f) {
1040        return -1.0f;
1041    } else {
1042        return 1.0f;
1043    }
1044}
1045// If the length is 0, then rlength should be NaN.
1046extern float2 __attribute__((overloadable)) fast_normalize(float2 v) {
1047    float rlength = half_rsqrt(v.x*v.x + v.y*v.y);
1048    return (rlength == rlength) ? v * rlength : v;
1049}
1050extern float3 __attribute__((overloadable)) fast_normalize(float3 v) {
1051    float rlength = half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z);
1052    return (rlength == rlength) ? v * rlength : v;
1053}
1054extern float4 __attribute__((overloadable)) fast_normalize(float4 v) {
1055    float rlength = half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w);
1056    return (rlength == rlength) ? v * rlength : v;
1057}
1058
1059extern float __attribute__((overloadable)) half_recip(float v) {
1060    return 1.f / v;
1061}
1062
1063/*
1064extern float __attribute__((overloadable)) approx_atan(float x) {
1065    if (x == 0.f)
1066        return 0.f;
1067    if (x < 0.f)
1068        return -1.f * approx_atan(-1.f * x);
1069    if (x > 1.f)
1070        return M_PI_2 - approx_atan(approx_recip(x));
1071    return x * approx_recip(1.f + 0.28f * x*x);
1072}
1073FN_FUNC_FN(approx_atan)
1074*/
1075
1076typedef union
1077{
1078  float fv;
1079  int32_t iv;
1080} ieee_float_shape_type;
1081
1082/* Get a 32 bit int from a float.  */
1083
1084#define GET_FLOAT_WORD(i,d)                 \
1085do {                                \
1086  ieee_float_shape_type gf_u;                   \
1087  gf_u.fv = (d);                     \
1088  (i) = gf_u.iv;                      \
1089} while (0)
1090
1091/* Set a float from a 32 bit int.  */
1092
1093#define SET_FLOAT_WORD(d,i)                 \
1094do {                                \
1095  ieee_float_shape_type sf_u;                   \
1096  sf_u.iv = (i);                      \
1097  (d) = sf_u.fv;                     \
1098} while (0)
1099
1100
1101
1102// Valid -125 to 125
1103extern float __attribute__((overloadable)) native_exp2(float v) {
1104    int32_t iv = (int)v;
1105    int32_t x = iv + (iv >> 31); // ~floor(v)
1106    float r = (v - x);
1107
1108    float fo;
1109    SET_FLOAT_WORD(fo, (x + 127) << 23);
1110
1111    r *= 0.694f; // ~ log(e) / log(2)
1112    float r2 = r*r;
1113    float adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1114    return fo * adj;
1115}
1116
1117extern float2 __attribute__((overloadable)) native_exp2(float2 v) {
1118    int2 iv = convert_int2(v);
1119    int2 x = iv + (iv >> (int2)31);//floor(v);
1120    float2 r = (v - convert_float2(x));
1121
1122    x += 127;
1123
1124    float2 fo = (float2)(x << (int2)23);
1125
1126    r *= 0.694f; // ~ log(e) / log(2)
1127    float2 r2 = r*r;
1128    float2 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1129    return fo * adj;
1130}
1131
1132extern float4 __attribute__((overloadable)) native_exp2(float4 v) {
1133    int4 iv = convert_int4(v);
1134    int4 x = iv + (iv >> (int4)31);//floor(v);
1135    float4 r = (v - convert_float4(x));
1136
1137    x += 127;
1138
1139    float4 fo = (float4)(x << (int4)23);
1140
1141    r *= 0.694f; // ~ log(e) / log(2)
1142    float4 r2 = r*r;
1143    float4 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f);
1144    return fo * adj;
1145}
1146
1147extern float3 __attribute__((overloadable)) native_exp2(float3 v) {
1148    float4 t = 1.f;
1149    t.xyz = v;
1150    return native_exp2(t).xyz;
1151}
1152
1153
1154extern float __attribute__((overloadable)) native_exp(float v) {
1155    return native_exp2(v * 1.442695041f);
1156}
1157extern float2 __attribute__((overloadable)) native_exp(float2 v) {
1158    return native_exp2(v * 1.442695041f);
1159}
1160extern float3 __attribute__((overloadable)) native_exp(float3 v) {
1161    return native_exp2(v * 1.442695041f);
1162}
1163extern float4 __attribute__((overloadable)) native_exp(float4 v) {
1164    return native_exp2(v * 1.442695041f);
1165}
1166
1167extern float __attribute__((overloadable)) native_exp10(float v) {
1168    return native_exp2(v * 3.321928095f);
1169}
1170extern float2 __attribute__((overloadable)) native_exp10(float2 v) {
1171    return native_exp2(v * 3.321928095f);
1172}
1173extern float3 __attribute__((overloadable)) native_exp10(float3 v) {
1174    return native_exp2(v * 3.321928095f);
1175}
1176extern float4 __attribute__((overloadable)) native_exp10(float4 v) {
1177    return native_exp2(v * 3.321928095f);
1178}
1179
1180extern float __attribute__((overloadable)) native_log2(float v) {
1181    int32_t ibits;
1182    GET_FLOAT_WORD(ibits, v);
1183
1184    int32_t e = (ibits >> 23) & 0xff;
1185
1186    ibits &= 0x7fffff;
1187    ibits |= 127 << 23;
1188
1189    float ir;
1190    SET_FLOAT_WORD(ir, ibits);
1191
1192    ir -= 1.5f;
1193    float ir2 = ir*ir;
1194    float adj2 = 0.405465108f + // -0.00009f +
1195                 (0.666666667f * ir) -
1196                 (0.222222222f * ir2) +
1197                 (0.098765432f * ir*ir2) -
1198                 (0.049382716f * ir2*ir2) +
1199                 (0.026337449f * ir*ir2*ir2) -
1200                 (0.014631916f * ir2*ir2*ir2);
1201    adj2 *= (1.f / 0.693147181f);
1202
1203    return (float)(e - 127) + adj2;
1204}
1205extern float2 __attribute__((overloadable)) native_log2(float2 v) {
1206    float2 v2 = {native_log2(v.x), native_log2(v.y)};
1207    return v2;
1208}
1209extern float3 __attribute__((overloadable)) native_log2(float3 v) {
1210    float3 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z)};
1211    return v2;
1212}
1213extern float4 __attribute__((overloadable)) native_log2(float4 v) {
1214    float4 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z), native_log2(v.w)};
1215    return v2;
1216}
1217
1218extern float __attribute__((overloadable)) native_log(float v) {
1219    return native_log2(v) * (1.f / 1.442695041f);
1220}
1221extern float2 __attribute__((overloadable)) native_log(float2 v) {
1222    return native_log2(v) * (1.f / 1.442695041f);
1223}
1224extern float3 __attribute__((overloadable)) native_log(float3 v) {
1225    return native_log2(v) * (1.f / 1.442695041f);
1226}
1227extern float4 __attribute__((overloadable)) native_log(float4 v) {
1228    return native_log2(v) * (1.f / 1.442695041f);
1229}
1230
1231extern float __attribute__((overloadable)) native_log10(float v) {
1232    return native_log2(v) * (1.f / 3.321928095f);
1233}
1234extern float2 __attribute__((overloadable)) native_log10(float2 v) {
1235    return native_log2(v) * (1.f / 3.321928095f);
1236}
1237extern float3 __attribute__((overloadable)) native_log10(float3 v) {
1238    return native_log2(v) * (1.f / 3.321928095f);
1239}
1240extern float4 __attribute__((overloadable)) native_log10(float4 v) {
1241    return native_log2(v) * (1.f / 3.321928095f);
1242}
1243
1244
1245extern float __attribute__((overloadable)) native_powr(float v, float y) {
1246    float v2 = native_log2(v);
1247    v2 = fmax(v2, -125.f);
1248    return native_exp2(v2 * y);
1249}
1250extern float2 __attribute__((overloadable)) native_powr(float2 v, float2 y) {
1251    float2 v2 = native_log2(v);
1252    v2 = fmax(v2, -125.f);
1253    return native_exp2(v2 * y);
1254}
1255extern float3 __attribute__((overloadable)) native_powr(float3 v, float3 y) {
1256    float3 v2 = native_log2(v);
1257    v2 = fmax(v2, -125.f);
1258    return native_exp2(v2 * y);
1259}
1260extern float4 __attribute__((overloadable)) native_powr(float4 v, float4 y) {
1261    float4 v2 = native_log2(v);
1262    v2 = fmax(v2, -125.f);
1263    return native_exp2(v2 * y);
1264}
1265
1266extern double __attribute__((overloadable)) min(double v1, double v2) {
1267    return v1 < v2 ? v1 : v2;
1268}
1269
1270extern double2 __attribute__((overloadable)) min(double2 v1, double2 v2) {
1271    double2 r;
1272    r.x = v1.x < v2.x ? v1.x : v2.x;
1273    r.y = v1.y < v2.y ? v1.y : v2.y;
1274    return r;
1275}
1276
1277extern double3 __attribute__((overloadable)) min(double3 v1, double3 v2) {
1278    double3 r;
1279    r.x = v1.x < v2.x ? v1.x : v2.x;
1280    r.y = v1.y < v2.y ? v1.y : v2.y;
1281    r.z = v1.z < v2.z ? v1.z : v2.z;
1282    return r;
1283}
1284
1285extern double4 __attribute__((overloadable)) min(double4 v1, double4 v2) {
1286    double4 r;
1287    r.x = v1.x < v2.x ? v1.x : v2.x;
1288    r.y = v1.y < v2.y ? v1.y : v2.y;
1289    r.z = v1.z < v2.z ? v1.z : v2.z;
1290    r.w = v1.w < v2.w ? v1.w : v2.w;
1291    return r;
1292}
1293
1294extern int64_t _Z3minll(int64_t v1, int64_t v2) {
1295    return v1 < v2 ? v1 : v2;
1296}
1297extern long2 _Z3minDv2_lS_(long2 v1, long2 v2) {
1298    long2 r;
1299    r.x = v1.x < v2.x ? v1.x : v2.x;
1300    r.y = v1.y < v2.y ? v1.y : v2.y;
1301    return r;
1302}
1303extern long3 _Z3minDv3_lS_(long3 v1, long3 v2) {
1304    long3 r;
1305    r.x = v1.x < v2.x ? v1.x : v2.x;
1306    r.y = v1.y < v2.y ? v1.y : v2.y;
1307    r.z = v1.z < v2.z ? v1.z : v2.z;
1308    return r;
1309}
1310extern long4 _Z3minDv4_lS_(long4 v1, long4 v2) {
1311    long4 r;
1312    r.x = v1.x < v2.x ? v1.x : v2.x;
1313    r.y = v1.y < v2.y ? v1.y : v2.y;
1314    r.z = v1.z < v2.z ? v1.z : v2.z;
1315    r.w = v1.w < v2.w ? v1.w : v2.w;
1316    return r;
1317}
1318
1319extern uint64_t _Z3minyy(uint64_t v1, uint64_t v2) {
1320    return v1 < v2 ? v1 : v2;
1321}
1322extern ulong2 _Z3minDv2_yS_(ulong2 v1, ulong2 v2) {
1323    ulong2 r;
1324    r.x = v1.x < v2.x ? v1.x : v2.x;
1325    r.y = v1.y < v2.y ? v1.y : v2.y;
1326    return r;
1327}
1328extern ulong3 _Z3minDv3_yS_(ulong3 v1, ulong3 v2) {
1329    ulong3 r;
1330    r.x = v1.x < v2.x ? v1.x : v2.x;
1331    r.y = v1.y < v2.y ? v1.y : v2.y;
1332    r.z = v1.z < v2.z ? v1.z : v2.z;
1333    return r;
1334}
1335extern ulong4 _Z3minDv4_yS_(ulong4 v1, ulong4 v2) {
1336    ulong4 r;
1337    r.x = v1.x < v2.x ? v1.x : v2.x;
1338    r.y = v1.y < v2.y ? v1.y : v2.y;
1339    r.z = v1.z < v2.z ? v1.z : v2.z;
1340    r.w = v1.w < v2.w ? v1.w : v2.w;
1341    return r;
1342}
1343
1344extern double __attribute__((overloadable)) max(double v1, double v2) {
1345    return v1 > v2 ? v1 : v2;
1346}
1347
1348extern double2 __attribute__((overloadable)) max(double2 v1, double2 v2) {
1349    double2 r;
1350    r.x = v1.x > v2.x ? v1.x : v2.x;
1351    r.y = v1.y > v2.y ? v1.y : v2.y;
1352    return r;
1353}
1354
1355extern double3 __attribute__((overloadable)) max(double3 v1, double3 v2) {
1356    double3 r;
1357    r.x = v1.x > v2.x ? v1.x : v2.x;
1358    r.y = v1.y > v2.y ? v1.y : v2.y;
1359    r.z = v1.z > v2.z ? v1.z : v2.z;
1360    return r;
1361}
1362
1363extern double4 __attribute__((overloadable)) max(double4 v1, double4 v2) {
1364    double4 r;
1365    r.x = v1.x > v2.x ? v1.x : v2.x;
1366    r.y = v1.y > v2.y ? v1.y : v2.y;
1367    r.z = v1.z > v2.z ? v1.z : v2.z;
1368    r.w = v1.w > v2.w ? v1.w : v2.w;
1369    return r;
1370}
1371
1372extern int64_t _Z3maxll(int64_t v1, int64_t v2) {
1373    return v1 > v2 ? v1 : v2;
1374}
1375extern long2 _Z3maxDv2_lS_(long2 v1, long2 v2) {
1376    long2 r;
1377    r.x = v1.x > v2.x ? v1.x : v2.x;
1378    r.y = v1.y > v2.y ? v1.y : v2.y;
1379    return r;
1380}
1381extern long3 _Z3maxDv3_lS_(long3 v1, long3 v2) {
1382    long3 r;
1383    r.x = v1.x > v2.x ? v1.x : v2.x;
1384    r.y = v1.y > v2.y ? v1.y : v2.y;
1385    r.z = v1.z > v2.z ? v1.z : v2.z;
1386    return r;
1387}
1388extern long4 _Z3maxDv4_lS_(long4 v1, long4 v2) {
1389    long4 r;
1390    r.x = v1.x > v2.x ? v1.x : v2.x;
1391    r.y = v1.y > v2.y ? v1.y : v2.y;
1392    r.z = v1.z > v2.z ? v1.z : v2.z;
1393    r.w = v1.w > v2.w ? v1.w : v2.w;
1394    return r;
1395}
1396
1397extern uint64_t _Z3maxyy(uint64_t v1, uint64_t v2) {
1398    return v1 > v2 ? v1 : v2;
1399}
1400extern ulong2 _Z3maxDv2_yS_(ulong2 v1, ulong2 v2) {
1401    ulong2 r;
1402    r.x = v1.x > v2.x ? v1.x : v2.x;
1403    r.y = v1.y > v2.y ? v1.y : v2.y;
1404    return r;
1405}
1406extern ulong3 _Z3maxDv3_yS_(ulong3 v1, ulong3 v2) {
1407    ulong3 r;
1408    r.x = v1.x > v2.x ? v1.x : v2.x;
1409    r.y = v1.y > v2.y ? v1.y : v2.y;
1410    r.z = v1.z > v2.z ? v1.z : v2.z;
1411    return r;
1412}
1413extern ulong4 _Z3maxDv4_yS_(ulong4 v1, ulong4 v2) {
1414    ulong4 r;
1415    r.x = v1.x > v2.x ? v1.x : v2.x;
1416    r.y = v1.y > v2.y ? v1.y : v2.y;
1417    r.z = v1.z > v2.z ? v1.z : v2.z;
1418    r.w = v1.w > v2.w ? v1.w : v2.w;
1419    return r;
1420}
1421
1422
1423#undef FN_FUNC_FN
1424#undef IN_FUNC_FN
1425#undef FN_FUNC_FN_FN
1426#undef FN_FUNC_FN_F
1427#undef FN_FUNC_FN_IN
1428#undef FN_FUNC_FN_I
1429#undef FN_FUNC_FN_PFN
1430#undef FN_FUNC_FN_PIN
1431#undef FN_FUNC_FN_FN_FN
1432#undef FN_FUNC_FN_FN_PIN
1433#undef XN_FUNC_YN
1434#undef UIN_FUNC_IN
1435#undef IN_FUNC_IN
1436#undef XN_FUNC_XN_XN_BODY
1437#undef IN_FUNC_IN_IN_BODY
1438