| #include "rs_types.rsh" |
| |
| extern float2 __attribute__((overloadable)) convert_float2(int2 c); |
| extern float3 __attribute__((overloadable)) convert_float3(int3 c); |
| extern float4 __attribute__((overloadable)) convert_float4(int4 c); |
| |
| extern int2 __attribute__((overloadable)) convert_int2(float2 c); |
| extern int3 __attribute__((overloadable)) convert_int3(float3 c); |
| extern int4 __attribute__((overloadable)) convert_int4(float4 c); |
| |
| |
| extern float __attribute__((overloadable)) fmin(float v, float v2); |
| extern float2 __attribute__((overloadable)) fmin(float2 v, float v2); |
| extern float3 __attribute__((overloadable)) fmin(float3 v, float v2); |
| extern float4 __attribute__((overloadable)) fmin(float4 v, float v2); |
| |
| extern float __attribute__((overloadable)) fmax(float v, float v2); |
| extern float2 __attribute__((overloadable)) fmax(float2 v, float v2); |
| extern float3 __attribute__((overloadable)) fmax(float3 v, float v2); |
| extern float4 __attribute__((overloadable)) fmax(float4 v, float v2); |
| |
| // Float ops, 6.11.2 |
| |
| #define FN_FUNC_FN(fnc) \ |
| extern float2 __attribute__((overloadable)) fnc(float2 v) { \ |
| float2 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) fnc(float3 v) { \ |
| float3 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| r.z = fnc(v.z); \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) fnc(float4 v) { \ |
| float4 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| r.z = fnc(v.z); \ |
| r.w = fnc(v.w); \ |
| return r; \ |
| } |
| |
| #define IN_FUNC_FN(fnc) \ |
| extern int2 __attribute__((overloadable)) fnc(float2 v) { \ |
| int2 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| return r; \ |
| } \ |
| extern int3 __attribute__((overloadable)) fnc(float3 v) { \ |
| int3 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| r.z = fnc(v.z); \ |
| return r; \ |
| } \ |
| extern int4 __attribute__((overloadable)) fnc(float4 v) { \ |
| int4 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| r.z = fnc(v.z); \ |
| r.w = fnc(v.w); \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_FN(fnc) \ |
| extern float2 __attribute__((overloadable)) fnc(float2 v1, float2 v2) { \ |
| float2 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) fnc(float3 v1, float3 v2) { \ |
| float3 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| r.z = fnc(v1.z, v2.z); \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) fnc(float4 v1, float4 v2) { \ |
| float4 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| r.z = fnc(v1.z, v2.z); \ |
| r.w = fnc(v1.w, v2.w); \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_F(fnc) \ |
| extern float2 __attribute__((overloadable)) fnc(float2 v1, float v2) { \ |
| float2 r; \ |
| r.x = fnc(v1.x, v2); \ |
| r.y = fnc(v1.y, v2); \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) fnc(float3 v1, float v2) { \ |
| float3 r; \ |
| r.x = fnc(v1.x, v2); \ |
| r.y = fnc(v1.y, v2); \ |
| r.z = fnc(v1.z, v2); \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) fnc(float4 v1, float v2) { \ |
| float4 r; \ |
| r.x = fnc(v1.x, v2); \ |
| r.y = fnc(v1.y, v2); \ |
| r.z = fnc(v1.z, v2); \ |
| r.w = fnc(v1.w, v2); \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_IN(fnc) \ |
| extern float2 __attribute__((overloadable)) fnc(float2 v1, int2 v2) { \ |
| float2 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) fnc(float3 v1, int3 v2) { \ |
| float3 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| r.z = fnc(v1.z, v2.z); \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) fnc(float4 v1, int4 v2) { \ |
| float4 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| r.z = fnc(v1.z, v2.z); \ |
| r.w = fnc(v1.w, v2.w); \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_I(fnc) \ |
| extern float2 __attribute__((overloadable)) fnc(float2 v1, int v2) { \ |
| float2 r; \ |
| r.x = fnc(v1.x, v2); \ |
| r.y = fnc(v1.y, v2); \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) fnc(float3 v1, int v2) { \ |
| float3 r; \ |
| r.x = fnc(v1.x, v2); \ |
| r.y = fnc(v1.y, v2); \ |
| r.z = fnc(v1.z, v2); \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) fnc(float4 v1, int v2) { \ |
| float4 r; \ |
| r.x = fnc(v1.x, v2); \ |
| r.y = fnc(v1.y, v2); \ |
| r.z = fnc(v1.z, v2); \ |
| r.w = fnc(v1.w, v2); \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_PFN(fnc) \ |
| extern float2 __attribute__((overloadable)) \ |
| fnc(float2 v1, float2 *v2) { \ |
| float2 r; \ |
| float t[2]; \ |
| r.x = fnc(v1.x, &t[0]); \ |
| r.y = fnc(v1.y, &t[1]); \ |
| v2->x = t[0]; \ |
| v2->y = t[1]; \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) \ |
| fnc(float3 v1, float3 *v2) { \ |
| float3 r; \ |
| float t[3]; \ |
| r.x = fnc(v1.x, &t[0]); \ |
| r.y = fnc(v1.y, &t[1]); \ |
| r.z = fnc(v1.z, &t[2]); \ |
| v2->x = t[0]; \ |
| v2->y = t[1]; \ |
| v2->z = t[2]; \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) \ |
| fnc(float4 v1, float4 *v2) { \ |
| float4 r; \ |
| float t[4]; \ |
| r.x = fnc(v1.x, &t[0]); \ |
| r.y = fnc(v1.y, &t[1]); \ |
| r.z = fnc(v1.z, &t[2]); \ |
| r.w = fnc(v1.w, &t[3]); \ |
| v2->x = t[0]; \ |
| v2->y = t[1]; \ |
| v2->z = t[2]; \ |
| v2->w = t[3]; \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_PIN(fnc) \ |
| extern float2 __attribute__((overloadable)) fnc(float2 v1, int2 *v2) { \ |
| float2 r; \ |
| int t[2]; \ |
| r.x = fnc(v1.x, &t[0]); \ |
| r.y = fnc(v1.y, &t[1]); \ |
| v2->x = t[0]; \ |
| v2->y = t[1]; \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) fnc(float3 v1, int3 *v2) { \ |
| float3 r; \ |
| int t[3]; \ |
| r.x = fnc(v1.x, &t[0]); \ |
| r.y = fnc(v1.y, &t[1]); \ |
| r.z = fnc(v1.z, &t[2]); \ |
| v2->x = t[0]; \ |
| v2->y = t[1]; \ |
| v2->z = t[2]; \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) fnc(float4 v1, int4 *v2) { \ |
| float4 r; \ |
| int t[4]; \ |
| r.x = fnc(v1.x, &t[0]); \ |
| r.y = fnc(v1.y, &t[1]); \ |
| r.z = fnc(v1.z, &t[2]); \ |
| r.w = fnc(v1.w, &t[3]); \ |
| v2->x = t[0]; \ |
| v2->y = t[1]; \ |
| v2->z = t[2]; \ |
| v2->w = t[3]; \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_FN_FN(fnc) \ |
| extern float2 __attribute__((overloadable)) \ |
| fnc(float2 v1, float2 v2, float2 v3) { \ |
| float2 r; \ |
| r.x = fnc(v1.x, v2.x, v3.x); \ |
| r.y = fnc(v1.y, v2.y, v3.y); \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) \ |
| fnc(float3 v1, float3 v2, float3 v3) { \ |
| float3 r; \ |
| r.x = fnc(v1.x, v2.x, v3.x); \ |
| r.y = fnc(v1.y, v2.y, v3.y); \ |
| r.z = fnc(v1.z, v2.z, v3.z); \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) \ |
| fnc(float4 v1, float4 v2, float4 v3) { \ |
| float4 r; \ |
| r.x = fnc(v1.x, v2.x, v3.x); \ |
| r.y = fnc(v1.y, v2.y, v3.y); \ |
| r.z = fnc(v1.z, v2.z, v3.z); \ |
| r.w = fnc(v1.w, v2.w, v3.w); \ |
| return r; \ |
| } |
| |
| #define FN_FUNC_FN_FN_PIN(fnc) \ |
| extern float2 __attribute__((overloadable)) \ |
| fnc(float2 v1, float2 v2, int2 *v3) { \ |
| float2 r; \ |
| int t[2]; \ |
| r.x = fnc(v1.x, v2.x, &t[0]); \ |
| r.y = fnc(v1.y, v2.y, &t[1]); \ |
| v3->x = t[0]; \ |
| v3->y = t[1]; \ |
| return r; \ |
| } \ |
| extern float3 __attribute__((overloadable)) \ |
| fnc(float3 v1, float3 v2, int3 *v3) { \ |
| float3 r; \ |
| int t[3]; \ |
| r.x = fnc(v1.x, v2.x, &t[0]); \ |
| r.y = fnc(v1.y, v2.y, &t[1]); \ |
| r.z = fnc(v1.z, v2.z, &t[2]); \ |
| v3->x = t[0]; \ |
| v3->y = t[1]; \ |
| v3->z = t[2]; \ |
| return r; \ |
| } \ |
| extern float4 __attribute__((overloadable)) \ |
| fnc(float4 v1, float4 v2, int4 *v3) { \ |
| float4 r; \ |
| int t[4]; \ |
| r.x = fnc(v1.x, v2.x, &t[0]); \ |
| r.y = fnc(v1.y, v2.y, &t[1]); \ |
| r.z = fnc(v1.z, v2.z, &t[2]); \ |
| r.w = fnc(v1.w, v2.w, &t[3]); \ |
| v3->x = t[0]; \ |
| v3->y = t[1]; \ |
| v3->z = t[2]; \ |
| v3->w = t[3]; \ |
| return r; \ |
| } |
| |
| static const int iposinf = 0x7f800000; |
| static const int ineginf = 0xff800000; |
| |
| static const float posinf() { |
| float f = *((float*)&iposinf); |
| return f; |
| } |
| |
| static const float neginf() { |
| float f = *((float*)&ineginf); |
| return f; |
| } |
| |
| static bool isinf(float f) { |
| int i = *((int*)(void*)&f); |
| return (i == iposinf) || (i == ineginf); |
| } |
| |
| static bool isnan(float f) { |
| int i = *((int*)(void*)&f); |
| return (((i & 0x7f800000) == 0x7f800000) && (i & 0x007fffff)); |
| } |
| |
| static bool isposzero(float f) { |
| int i = *((int*)(void*)&f); |
| return (i == 0x00000000); |
| } |
| |
| static bool isnegzero(float f) { |
| int i = *((int*)(void*)&f); |
| return (i == 0x80000000); |
| } |
| |
| static bool iszero(float f) { |
| return isposzero(f) || isnegzero(f); |
| } |
| |
| |
| extern float __attribute__((overloadable)) acos(float); |
| FN_FUNC_FN(acos) |
| |
| extern float __attribute__((overloadable)) acosh(float); |
| FN_FUNC_FN(acosh) |
| |
| |
| extern float __attribute__((overloadable)) acospi(float v) { |
| return acos(v) / M_PI; |
| } |
| FN_FUNC_FN(acospi) |
| |
| extern float __attribute__((overloadable)) asin(float); |
| FN_FUNC_FN(asin) |
| |
| extern float __attribute__((overloadable)) asinh(float); |
| FN_FUNC_FN(asinh) |
| |
| extern float __attribute__((overloadable)) asinpi(float v) { |
| return asin(v) / M_PI; |
| } |
| FN_FUNC_FN(asinpi) |
| |
| extern float __attribute__((overloadable)) atan(float); |
| FN_FUNC_FN(atan) |
| |
| extern float __attribute__((overloadable)) atan2(float, float); |
| FN_FUNC_FN_FN(atan2) |
| |
| extern float __attribute__((overloadable)) atanh(float); |
| FN_FUNC_FN(atanh) |
| |
| extern float __attribute__((overloadable)) atanpi(float v) { |
| return atan(v) / M_PI; |
| } |
| FN_FUNC_FN(atanpi) |
| |
| |
| extern float __attribute__((overloadable)) atan2pi(float y, float x) { |
| return atan2(y, x) / M_PI; |
| } |
| FN_FUNC_FN_FN(atan2pi) |
| |
| extern float __attribute__((overloadable)) cbrt(float); |
| FN_FUNC_FN(cbrt) |
| |
| extern float __attribute__((overloadable)) ceil(float); |
| FN_FUNC_FN(ceil) |
| |
| extern float __attribute__((overloadable)) copysign(float, float); |
| FN_FUNC_FN_FN(copysign) |
| |
| extern float __attribute__((overloadable)) cos(float); |
| FN_FUNC_FN(cos) |
| |
| extern float __attribute__((overloadable)) cosh(float); |
| FN_FUNC_FN(cosh) |
| |
| extern float __attribute__((overloadable)) cospi(float v) { |
| return cos(v * M_PI); |
| } |
| FN_FUNC_FN(cospi) |
| |
| extern float __attribute__((overloadable)) erfc(float); |
| FN_FUNC_FN(erfc) |
| |
| extern float __attribute__((overloadable)) erf(float); |
| FN_FUNC_FN(erf) |
| |
| extern float __attribute__((overloadable)) exp(float); |
| FN_FUNC_FN(exp) |
| |
| extern float __attribute__((overloadable)) exp2(float); |
| FN_FUNC_FN(exp2) |
| |
| extern float __attribute__((overloadable)) pow(float, float); |
| |
| extern float __attribute__((overloadable)) exp10(float v) { |
| return exp2(v * 3.321928095f); |
| } |
| FN_FUNC_FN(exp10) |
| |
| extern float __attribute__((overloadable)) expm1(float); |
| FN_FUNC_FN(expm1) |
| |
| extern float __attribute__((overloadable)) fabs(float v) { |
| int i = *((int*)(void*)&v) & 0x7fffffff; |
| return *((float*)(void*)&i); |
| } |
| FN_FUNC_FN(fabs) |
| |
| extern float __attribute__((overloadable)) fdim(float, float); |
| FN_FUNC_FN_FN(fdim) |
| |
| extern float __attribute__((overloadable)) floor(float); |
| FN_FUNC_FN(floor) |
| |
| extern float __attribute__((overloadable)) fma(float, float, float); |
| FN_FUNC_FN_FN_FN(fma) |
| |
| extern float __attribute__((overloadable)) fmin(float, float); |
| |
| extern float __attribute__((overloadable)) fmod(float, float); |
| FN_FUNC_FN_FN(fmod) |
| |
| extern float __attribute__((overloadable)) fract(float v, float *iptr) { |
| int i = (int)floor(v); |
| if (iptr) { |
| iptr[0] = i; |
| } |
| return fmin(v - i, 0x1.fffffep-1f); |
| } |
| FN_FUNC_FN_PFN(fract) |
| |
| extern float __attribute__((overloadable)) frexp(float, int *); |
| FN_FUNC_FN_PIN(frexp) |
| |
| extern float __attribute__((overloadable)) hypot(float, float); |
| FN_FUNC_FN_FN(hypot) |
| |
| extern int __attribute__((overloadable)) ilogb(float); |
| IN_FUNC_FN(ilogb) |
| |
| extern float __attribute__((overloadable)) ldexp(float, int); |
| FN_FUNC_FN_IN(ldexp) |
| FN_FUNC_FN_I(ldexp) |
| |
| extern float __attribute__((overloadable)) lgamma(float); |
| FN_FUNC_FN(lgamma) |
| extern float __attribute__((overloadable)) lgamma(float, int*); |
| FN_FUNC_FN_PIN(lgamma) |
| |
| extern float __attribute__((overloadable)) log(float); |
| FN_FUNC_FN(log) |
| |
| extern float __attribute__((overloadable)) log10(float); |
| FN_FUNC_FN(log10) |
| |
| |
| extern float __attribute__((overloadable)) log2(float v) { |
| return log10(v) * 3.321928095f; |
| } |
| FN_FUNC_FN(log2) |
| |
| extern float __attribute__((overloadable)) log1p(float); |
| FN_FUNC_FN(log1p) |
| |
| extern float __attribute__((overloadable)) logb(float); |
| FN_FUNC_FN(logb) |
| |
| extern float __attribute__((overloadable)) mad(float a, float b, float c) { |
| return a * b + c; |
| } |
| extern float2 __attribute__((overloadable)) mad(float2 a, float2 b, float2 c) { |
| return a * b + c; |
| } |
| extern float3 __attribute__((overloadable)) mad(float3 a, float3 b, float3 c) { |
| return a * b + c; |
| } |
| extern float4 __attribute__((overloadable)) mad(float4 a, float4 b, float4 c) { |
| return a * b + c; |
| } |
| |
| extern float __attribute__((overloadable)) modf(float, float *); |
| FN_FUNC_FN_PFN(modf); |
| |
| extern float __attribute__((overloadable)) nan(uint v) { |
| float f[1]; |
| uint32_t *ip = (uint32_t *)f; |
| *ip = v | 0x7fc00000; |
| return f[0]; |
| } |
| |
| extern float __attribute__((overloadable)) nextafter(float, float); |
| FN_FUNC_FN_FN(nextafter) |
| |
| FN_FUNC_FN_FN(pow) |
| |
| extern float __attribute__((overloadable)) pown(float v, int p) { |
| return pow(v, (float)p); |
| } |
| extern float2 __attribute__((overloadable)) pown(float2 v, int2 p) { |
| float2 f2 = convert_float2(p); |
| return pow(v, f2); |
| } |
| extern float3 __attribute__((overloadable)) pown(float3 v, int3 p) { |
| float3 f3 = convert_float3(p); |
| return pow(v, f3); |
| } |
| extern float4 __attribute__((overloadable)) pown(float4 v, int4 p) { |
| float4 f4 = convert_float4(p); |
| return pow(v, f4); |
| } |
| |
| extern float __attribute__((overloadable)) powr(float v, float p) { |
| return pow(v, p); |
| } |
| extern float2 __attribute__((overloadable)) powr(float2 v, float2 p) { |
| return pow(v, p); |
| } |
| extern float3 __attribute__((overloadable)) powr(float3 v, float3 p) { |
| return pow(v, p); |
| } |
| extern float4 __attribute__((overloadable)) powr(float4 v, float4 p) { |
| return pow(v, p); |
| } |
| |
| extern float __attribute__((overloadable)) remainder(float, float); |
| FN_FUNC_FN_FN(remainder) |
| |
| extern float __attribute__((overloadable)) remquo(float, float, int *); |
| FN_FUNC_FN_FN_PIN(remquo) |
| |
| extern float __attribute__((overloadable)) rint(float); |
| FN_FUNC_FN(rint) |
| |
| extern float __attribute__((overloadable)) rootn(float v, int r) { |
| if (r == 0) { |
| return nan(0); |
| } |
| |
| if (iszero(v)) { |
| if (r < 0) { |
| if (r & 1) { |
| return copysign(posinf(), v); |
| } else { |
| return posinf(); |
| } |
| } else { |
| if (r & 1) { |
| return copysign(0.f, v); |
| } else { |
| return 0.f; |
| } |
| } |
| } |
| |
| if (!isinf(v) && !isnan(v) && (v < 0.f)) { |
| if (r & 1) { |
| return (-1.f * pow(-1.f * v, 1.f / r)); |
| } else { |
| return nan(0); |
| } |
| } |
| |
| return pow(v, 1.f / r); |
| } |
| FN_FUNC_FN_IN(rootn); |
| |
| extern float __attribute__((overloadable)) round(float); |
| FN_FUNC_FN(round) |
| |
| |
| extern float __attribute__((overloadable)) sqrt(float); |
| extern float __attribute__((overloadable)) rsqrt(float v) { |
| return 1.f / sqrt(v); |
| } |
| FN_FUNC_FN(rsqrt) |
| |
| extern float __attribute__((overloadable)) sin(float); |
| FN_FUNC_FN(sin) |
| |
| extern float __attribute__((overloadable)) sincos(float v, float *cosptr) { |
| *cosptr = cos(v); |
| return sin(v); |
| } |
| extern float2 __attribute__((overloadable)) sincos(float2 v, float2 *cosptr) { |
| *cosptr = cos(v); |
| return sin(v); |
| } |
| extern float3 __attribute__((overloadable)) sincos(float3 v, float3 *cosptr) { |
| *cosptr = cos(v); |
| return sin(v); |
| } |
| extern float4 __attribute__((overloadable)) sincos(float4 v, float4 *cosptr) { |
| *cosptr = cos(v); |
| return sin(v); |
| } |
| |
| extern float __attribute__((overloadable)) sinh(float); |
| FN_FUNC_FN(sinh) |
| |
| extern float __attribute__((overloadable)) sinpi(float v) { |
| return sin(v * M_PI); |
| } |
| FN_FUNC_FN(sinpi) |
| |
| extern float __attribute__((overloadable)) tan(float); |
| FN_FUNC_FN(tan) |
| |
| extern float __attribute__((overloadable)) tanh(float); |
| FN_FUNC_FN(tanh) |
| |
| extern float __attribute__((overloadable)) tanpi(float v) { |
| return tan(v * M_PI); |
| } |
| FN_FUNC_FN(tanpi) |
| |
| |
| extern float __attribute__((overloadable)) tgamma(float); |
| FN_FUNC_FN(tgamma) |
| |
| extern float __attribute__((overloadable)) trunc(float); |
| FN_FUNC_FN(trunc) |
| |
| // Int ops (partial), 6.11.3 |
| |
| #define XN_FUNC_YN(typeout, fnc, typein) \ |
| extern typeout __attribute__((overloadable)) fnc(typein); \ |
| extern typeout##2 __attribute__((overloadable)) fnc(typein##2 v) { \ |
| typeout##2 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| return r; \ |
| } \ |
| extern typeout##3 __attribute__((overloadable)) fnc(typein##3 v) { \ |
| typeout##3 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| r.z = fnc(v.z); \ |
| return r; \ |
| } \ |
| extern typeout##4 __attribute__((overloadable)) fnc(typein##4 v) { \ |
| typeout##4 r; \ |
| r.x = fnc(v.x); \ |
| r.y = fnc(v.y); \ |
| r.z = fnc(v.z); \ |
| r.w = fnc(v.w); \ |
| return r; \ |
| } |
| |
| |
| #define UIN_FUNC_IN(fnc) \ |
| XN_FUNC_YN(uchar, fnc, char) \ |
| XN_FUNC_YN(ushort, fnc, short) \ |
| XN_FUNC_YN(uint, fnc, int) |
| |
| #define IN_FUNC_IN(fnc) \ |
| XN_FUNC_YN(uchar, fnc, uchar) \ |
| XN_FUNC_YN(char, fnc, char) \ |
| XN_FUNC_YN(ushort, fnc, ushort) \ |
| XN_FUNC_YN(short, fnc, short) \ |
| XN_FUNC_YN(uint, fnc, uint) \ |
| XN_FUNC_YN(int, fnc, int) |
| |
| |
| #define XN_FUNC_XN_XN_BODY(type, fnc, body) \ |
| extern type __attribute__((overloadable)) \ |
| fnc(type v1, type v2) { \ |
| return body; \ |
| } \ |
| extern type##2 __attribute__((overloadable)) \ |
| fnc(type##2 v1, type##2 v2) { \ |
| type##2 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| return r; \ |
| } \ |
| extern type##3 __attribute__((overloadable)) \ |
| fnc(type##3 v1, type##3 v2) { \ |
| type##3 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| r.z = fnc(v1.z, v2.z); \ |
| return r; \ |
| } \ |
| extern type##4 __attribute__((overloadable)) \ |
| fnc(type##4 v1, type##4 v2) { \ |
| type##4 r; \ |
| r.x = fnc(v1.x, v2.x); \ |
| r.y = fnc(v1.y, v2.y); \ |
| r.z = fnc(v1.z, v2.z); \ |
| r.w = fnc(v1.w, v2.w); \ |
| return r; \ |
| } |
| |
| #define IN_FUNC_IN_IN_BODY(fnc, body) \ |
| XN_FUNC_XN_XN_BODY(uchar, fnc, body) \ |
| XN_FUNC_XN_XN_BODY(char, fnc, body) \ |
| XN_FUNC_XN_XN_BODY(ushort, fnc, body) \ |
| XN_FUNC_XN_XN_BODY(short, fnc, body) \ |
| XN_FUNC_XN_XN_BODY(uint, fnc, body) \ |
| XN_FUNC_XN_XN_BODY(int, fnc, body) \ |
| XN_FUNC_XN_XN_BODY(float, fnc, body) |
| |
| |
| /** |
| * abs |
| */ |
| extern uint32_t __attribute__((overloadable)) abs(int32_t v) { |
| if (v < 0) |
| return -v; |
| return v; |
| } |
| extern uint16_t __attribute__((overloadable)) abs(int16_t v) { |
| if (v < 0) |
| return -v; |
| return v; |
| } |
| extern uint8_t __attribute__((overloadable)) abs(int8_t v) { |
| if (v < 0) |
| return -v; |
| return v; |
| } |
| |
| /** |
| * clz |
| */ |
| extern uint32_t __attribute__((overloadable)) clz(uint32_t v) { |
| return __builtin_clz(v); |
| } |
| extern uint16_t __attribute__((overloadable)) clz(uint16_t v) { |
| return (uint16_t)__builtin_clz(v); |
| } |
| extern uint8_t __attribute__((overloadable)) clz(uint8_t v) { |
| return (uint8_t)__builtin_clz(v); |
| } |
| extern int32_t __attribute__((overloadable)) clz(int32_t v) { |
| return (int32_t)__builtin_clz((uint32_t)v); |
| } |
| extern int16_t __attribute__((overloadable)) clz(int16_t v) { |
| return (int16_t)__builtin_clz(v); |
| } |
| extern int8_t __attribute__((overloadable)) clz(int8_t v) { |
| return (int8_t)__builtin_clz(v); |
| } |
| |
| |
| UIN_FUNC_IN(abs) |
| IN_FUNC_IN(clz) |
| |
| |
| // 6.11.4 |
| |
| |
| extern float __attribute__((overloadable)) degrees(float radians) { |
| return radians * (180.f / M_PI); |
| } |
| extern float2 __attribute__((overloadable)) degrees(float2 radians) { |
| return radians * (180.f / M_PI); |
| } |
| extern float3 __attribute__((overloadable)) degrees(float3 radians) { |
| return radians * (180.f / M_PI); |
| } |
| extern float4 __attribute__((overloadable)) degrees(float4 radians) { |
| return radians * (180.f / M_PI); |
| } |
| |
| extern float __attribute__((overloadable)) mix(float start, float stop, float amount) { |
| return start + (stop - start) * amount; |
| } |
| extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float2 amount) { |
| return start + (stop - start) * amount; |
| } |
| extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float3 amount) { |
| return start + (stop - start) * amount; |
| } |
| extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float4 amount) { |
| return start + (stop - start) * amount; |
| } |
| extern float2 __attribute__((overloadable)) mix(float2 start, float2 stop, float amount) { |
| return start + (stop - start) * amount; |
| } |
| extern float3 __attribute__((overloadable)) mix(float3 start, float3 stop, float amount) { |
| return start + (stop - start) * amount; |
| } |
| extern float4 __attribute__((overloadable)) mix(float4 start, float4 stop, float amount) { |
| return start + (stop - start) * amount; |
| } |
| |
| extern float __attribute__((overloadable)) radians(float degrees) { |
| return degrees * (M_PI / 180.f); |
| } |
| extern float2 __attribute__((overloadable)) radians(float2 degrees) { |
| return degrees * (M_PI / 180.f); |
| } |
| extern float3 __attribute__((overloadable)) radians(float3 degrees) { |
| return degrees * (M_PI / 180.f); |
| } |
| extern float4 __attribute__((overloadable)) radians(float4 degrees) { |
| return degrees * (M_PI / 180.f); |
| } |
| |
| extern float __attribute__((overloadable)) step(float edge, float v) { |
| return (v < edge) ? 0.f : 1.f; |
| } |
| extern float2 __attribute__((overloadable)) step(float2 edge, float2 v) { |
| float2 r; |
| r.x = (v.x < edge.x) ? 0.f : 1.f; |
| r.y = (v.y < edge.y) ? 0.f : 1.f; |
| return r; |
| } |
| extern float3 __attribute__((overloadable)) step(float3 edge, float3 v) { |
| float3 r; |
| r.x = (v.x < edge.x) ? 0.f : 1.f; |
| r.y = (v.y < edge.y) ? 0.f : 1.f; |
| r.z = (v.z < edge.z) ? 0.f : 1.f; |
| return r; |
| } |
| extern float4 __attribute__((overloadable)) step(float4 edge, float4 v) { |
| float4 r; |
| r.x = (v.x < edge.x) ? 0.f : 1.f; |
| r.y = (v.y < edge.y) ? 0.f : 1.f; |
| r.z = (v.z < edge.z) ? 0.f : 1.f; |
| r.w = (v.w < edge.w) ? 0.f : 1.f; |
| return r; |
| } |
| extern float2 __attribute__((overloadable)) step(float2 edge, float v) { |
| float2 r; |
| r.x = (v < edge.x) ? 0.f : 1.f; |
| r.y = (v < edge.y) ? 0.f : 1.f; |
| return r; |
| } |
| extern float3 __attribute__((overloadable)) step(float3 edge, float v) { |
| float3 r; |
| r.x = (v < edge.x) ? 0.f : 1.f; |
| r.y = (v < edge.y) ? 0.f : 1.f; |
| r.z = (v < edge.z) ? 0.f : 1.f; |
| return r; |
| } |
| extern float4 __attribute__((overloadable)) step(float4 edge, float v) { |
| float4 r; |
| r.x = (v < edge.x) ? 0.f : 1.f; |
| r.y = (v < edge.y) ? 0.f : 1.f; |
| r.z = (v < edge.z) ? 0.f : 1.f; |
| r.w = (v < edge.w) ? 0.f : 1.f; |
| return r; |
| } |
| |
| extern float __attribute__((overloadable)) smoothstep(float, float, float); |
| extern float2 __attribute__((overloadable)) smoothstep(float2, float2, float2); |
| extern float3 __attribute__((overloadable)) smoothstep(float3, float3, float3); |
| extern float4 __attribute__((overloadable)) smoothstep(float4, float4, float4); |
| extern float2 __attribute__((overloadable)) smoothstep(float, float, float2); |
| extern float3 __attribute__((overloadable)) smoothstep(float, float, float3); |
| extern float4 __attribute__((overloadable)) smoothstep(float, float, float4); |
| |
| extern float __attribute__((overloadable)) sign(float v) { |
| if (v > 0) return 1.f; |
| if (v < 0) return -1.f; |
| return v; |
| } |
| FN_FUNC_FN(sign) |
| |
| |
| // 6.11.5 |
| extern float3 __attribute__((overloadable)) cross(float3 lhs, float3 rhs) { |
| float3 r; |
| r.x = lhs.y * rhs.z - lhs.z * rhs.y; |
| r.y = lhs.z * rhs.x - lhs.x * rhs.z; |
| r.z = lhs.x * rhs.y - lhs.y * rhs.x; |
| return r; |
| } |
| |
| extern float4 __attribute__((overloadable)) cross(float4 lhs, float4 rhs) { |
| float4 r; |
| r.x = lhs.y * rhs.z - lhs.z * rhs.y; |
| r.y = lhs.z * rhs.x - lhs.x * rhs.z; |
| r.z = lhs.x * rhs.y - lhs.y * rhs.x; |
| r.w = 0.f; |
| return r; |
| } |
| |
| extern float __attribute__((overloadable)) length(float v); |
| extern float __attribute__((overloadable)) length(float2 v); |
| extern float __attribute__((overloadable)) length(float3 v); |
| extern float __attribute__((overloadable)) length(float4 v); |
| |
| extern float __attribute__((overloadable)) distance(float lhs, float rhs) { |
| return length(lhs - rhs); |
| } |
| extern float __attribute__((overloadable)) distance(float2 lhs, float2 rhs) { |
| return length(lhs - rhs); |
| } |
| extern float __attribute__((overloadable)) distance(float3 lhs, float3 rhs) { |
| return length(lhs - rhs); |
| } |
| extern float __attribute__((overloadable)) distance(float4 lhs, float4 rhs) { |
| return length(lhs - rhs); |
| } |
| |
| extern float __attribute__((overloadable)) normalize(float v) { |
| return 1.f; |
| } |
| extern float2 __attribute__((overloadable)) normalize(float2 v) { |
| return v / length(v); |
| } |
| extern float3 __attribute__((overloadable)) normalize(float3 v) { |
| return v / length(v); |
| } |
| extern float4 __attribute__((overloadable)) normalize(float4 v) { |
| return v / length(v); |
| } |
| |
| extern float __attribute__((overloadable)) half_sqrt(float); |
| |
| extern float __attribute__((overloadable)) fast_length(float v) { |
| return fabs(v); |
| } |
| extern float __attribute__((overloadable)) fast_length(float2 v) { |
| return half_sqrt(v.x*v.x + v.y*v.y); |
| } |
| extern float __attribute__((overloadable)) fast_length(float3 v) { |
| return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z); |
| } |
| extern float __attribute__((overloadable)) fast_length(float4 v) { |
| return half_sqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); |
| } |
| |
| extern float __attribute__((overloadable)) fast_distance(float lhs, float rhs) { |
| return fast_length(lhs - rhs); |
| } |
| extern float __attribute__((overloadable)) fast_distance(float2 lhs, float2 rhs) { |
| return fast_length(lhs - rhs); |
| } |
| extern float __attribute__((overloadable)) fast_distance(float3 lhs, float3 rhs) { |
| return fast_length(lhs - rhs); |
| } |
| extern float __attribute__((overloadable)) fast_distance(float4 lhs, float4 rhs) { |
| return fast_length(lhs - rhs); |
| } |
| |
| extern float __attribute__((overloadable)) half_rsqrt(float); |
| |
| extern float __attribute__((overloadable)) fast_normalize(float v) { |
| return 1.f; |
| } |
| extern float2 __attribute__((overloadable)) fast_normalize(float2 v) { |
| return v * half_rsqrt(v.x*v.x + v.y*v.y); |
| } |
| extern float3 __attribute__((overloadable)) fast_normalize(float3 v) { |
| return v * half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z); |
| } |
| extern float4 __attribute__((overloadable)) fast_normalize(float4 v) { |
| return v * half_rsqrt(v.x*v.x + v.y*v.y + v.z*v.z + v.w*v.w); |
| } |
| |
| extern float __attribute__((overloadable)) half_recip(float); |
| |
| /* |
| extern float __attribute__((overloadable)) approx_atan(float x) { |
| if (x == 0.f) |
| return 0.f; |
| if (x < 0.f) |
| return -1.f * approx_atan(-1.f * x); |
| if (x > 1.f) |
| return M_PI_2 - approx_atan(approx_recip(x)); |
| return x * approx_recip(1.f + 0.28f * x*x); |
| } |
| FN_FUNC_FN(approx_atan) |
| */ |
| |
| typedef union |
| { |
| float fv; |
| int32_t iv; |
| } ieee_float_shape_type; |
| |
| /* Get a 32 bit int from a float. */ |
| |
| #define GET_FLOAT_WORD(i,d) \ |
| do { \ |
| ieee_float_shape_type gf_u; \ |
| gf_u.fv = (d); \ |
| (i) = gf_u.iv; \ |
| } while (0) |
| |
| /* Set a float from a 32 bit int. */ |
| |
| #define SET_FLOAT_WORD(d,i) \ |
| do { \ |
| ieee_float_shape_type sf_u; \ |
| sf_u.iv = (i); \ |
| (d) = sf_u.fv; \ |
| } while (0) |
| |
| |
| |
| // Valid -125 to 125 |
| extern float __attribute__((overloadable)) native_exp2(float v) { |
| int32_t iv = (int)v; |
| int32_t x = iv + (iv >> 31); // ~floor(v) |
| float r = (v - x); |
| |
| float fo; |
| SET_FLOAT_WORD(fo, (x + 127) << 23); |
| |
| r *= 0.694f; // ~ log(e) / log(2) |
| float r2 = r*r; |
| float adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); |
| return fo * adj; |
| } |
| |
| extern float2 __attribute__((overloadable)) native_exp2(float2 v) { |
| int2 iv = convert_int2(v); |
| int2 x = iv + (iv >> (int2)31);//floor(v); |
| float2 r = (v - convert_float2(x)); |
| |
| x += 127; |
| |
| float2 fo = (float2)(x << (int2)23); |
| |
| r *= 0.694f; // ~ log(e) / log(2) |
| float2 r2 = r*r; |
| float2 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); |
| return fo * adj; |
| } |
| |
| extern float4 __attribute__((overloadable)) native_exp2(float4 v) { |
| int4 iv = convert_int4(v); |
| int4 x = iv + (iv >> (int4)31);//floor(v); |
| float4 r = (v - convert_float4(x)); |
| |
| x += 127; |
| |
| float4 fo = (float4)(x << (int4)23); |
| |
| r *= 0.694f; // ~ log(e) / log(2) |
| float4 r2 = r*r; |
| float4 adj = 1.f + r + (r2 * 0.5f) + (r2*r * 0.166666f) + (r2*r2 * 0.0416666f); |
| return fo * adj; |
| } |
| |
| extern float3 __attribute__((overloadable)) native_exp2(float3 v) { |
| float4 t = 1.f; |
| t.xyz = v; |
| return native_exp2(t).xyz; |
| } |
| |
| |
| extern float __attribute__((overloadable)) native_exp(float v) { |
| return native_exp2(v * 1.442695041f); |
| } |
| extern float2 __attribute__((overloadable)) native_exp(float2 v) { |
| return native_exp2(v * 1.442695041f); |
| } |
| extern float3 __attribute__((overloadable)) native_exp(float3 v) { |
| return native_exp2(v * 1.442695041f); |
| } |
| extern float4 __attribute__((overloadable)) native_exp(float4 v) { |
| return native_exp2(v * 1.442695041f); |
| } |
| |
| extern float __attribute__((overloadable)) native_exp10(float v) { |
| return native_exp2(v * 3.321928095f); |
| } |
| extern float2 __attribute__((overloadable)) native_exp10(float2 v) { |
| return native_exp2(v * 3.321928095f); |
| } |
| extern float3 __attribute__((overloadable)) native_exp10(float3 v) { |
| return native_exp2(v * 3.321928095f); |
| } |
| extern float4 __attribute__((overloadable)) native_exp10(float4 v) { |
| return native_exp2(v * 3.321928095f); |
| } |
| |
| extern float __attribute__((overloadable)) native_log2(float v) { |
| int32_t ibits; |
| GET_FLOAT_WORD(ibits, v); |
| |
| int32_t e = (ibits >> 23) & 0xff; |
| |
| ibits &= 0x7fffff; |
| ibits |= 127 << 23; |
| |
| float ir; |
| SET_FLOAT_WORD(ir, ibits); |
| |
| ir -= 1.5f; |
| float ir2 = ir*ir; |
| float adj2 = 0.405465108f + // -0.00009f + |
| (0.666666667f * ir) - |
| (0.222222222f * ir2) + |
| (0.098765432f * ir*ir2) - |
| (0.049382716f * ir2*ir2) + |
| (0.026337449f * ir*ir2*ir2) - |
| (0.014631916f * ir2*ir2*ir2); |
| adj2 *= (1.f / 0.693147181f); |
| |
| return (float)(e - 127) + adj2; |
| } |
| extern float2 __attribute__((overloadable)) native_log2(float2 v) { |
| float2 v2 = {native_log2(v.x), native_log2(v.y)}; |
| return v2; |
| } |
| extern float3 __attribute__((overloadable)) native_log2(float3 v) { |
| float3 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z)}; |
| return v2; |
| } |
| extern float4 __attribute__((overloadable)) native_log2(float4 v) { |
| float4 v2 = {native_log2(v.x), native_log2(v.y), native_log2(v.z), native_log2(v.w)}; |
| return v2; |
| } |
| |
| extern float __attribute__((overloadable)) native_log(float v) { |
| return native_log2(v) * (1.f / 1.442695041f); |
| } |
| extern float2 __attribute__((overloadable)) native_log(float2 v) { |
| return native_log2(v) * (1.f / 1.442695041f); |
| } |
| extern float3 __attribute__((overloadable)) native_log(float3 v) { |
| return native_log2(v) * (1.f / 1.442695041f); |
| } |
| extern float4 __attribute__((overloadable)) native_log(float4 v) { |
| return native_log2(v) * (1.f / 1.442695041f); |
| } |
| |
| extern float __attribute__((overloadable)) native_log10(float v) { |
| return native_log2(v) * (1.f / 3.321928095f); |
| } |
| extern float2 __attribute__((overloadable)) native_log10(float2 v) { |
| return native_log2(v) * (1.f / 3.321928095f); |
| } |
| extern float3 __attribute__((overloadable)) native_log10(float3 v) { |
| return native_log2(v) * (1.f / 3.321928095f); |
| } |
| extern float4 __attribute__((overloadable)) native_log10(float4 v) { |
| return native_log2(v) * (1.f / 3.321928095f); |
| } |
| |
| |
| extern float __attribute__((overloadable)) native_powr(float v, float y) { |
| float v2 = native_log2(v); |
| v2 = fmax(v2, -125.f); |
| return native_exp2(v2 * y); |
| } |
| extern float2 __attribute__((overloadable)) native_powr(float2 v, float2 y) { |
| float2 v2 = native_log2(v); |
| v2 = fmax(v2, -125.f); |
| return native_exp2(v2 * y); |
| } |
| extern float3 __attribute__((overloadable)) native_powr(float3 v, float3 y) { |
| float3 v2 = native_log2(v); |
| v2 = fmax(v2, -125.f); |
| return native_exp2(v2 * y); |
| } |
| extern float4 __attribute__((overloadable)) native_powr(float4 v, float4 y) { |
| float4 v2 = native_log2(v); |
| v2 = fmax(v2, -125.f); |
| return native_exp2(v2 * y); |
| } |
| |
| |
| #undef FN_FUNC_FN |
| #undef IN_FUNC_FN |
| #undef FN_FUNC_FN_FN |
| #undef FN_FUNC_FN_F |
| #undef FN_FUNC_FN_IN |
| #undef FN_FUNC_FN_I |
| #undef FN_FUNC_FN_PFN |
| #undef FN_FUNC_FN_PIN |
| #undef FN_FUNC_FN_FN_FN |
| #undef FN_FUNC_FN_FN_PIN |
| #undef XN_FUNC_YN |
| #undef UIN_FUNC_IN |
| #undef IN_FUNC_IN |
| #undef XN_FUNC_XN_XN_BODY |
| #undef IN_FUNC_IN_IN_BODY |
