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1//==============================================================================================================================
2//
3// [A] SHADER PORTABILITY 1.20210629
4//
5//==============================================================================================================================
6// FidelityFX Super Resolution Sample
7//
8// Copyright (c) 2021 Advanced Micro Devices, Inc. All rights reserved.
9// Permission is hereby granted, free of charge, to any person obtaining a copy
10// of this software and associated documentation files(the "Software"), to deal
11// in the Software without restriction, including without limitation the rights
12// to use, copy, modify, merge, publish, distribute, sublicense, and / or sell
13// copies of the Software, and to permit persons to whom the Software is
14// furnished to do so, subject to the following conditions :
15// The above copyright notice and this permission notice shall be included in
16// all copies or substantial portions of the Software.
17// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
18// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
19// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
20// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
21// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
22// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
23// THE SOFTWARE.
24//------------------------------------------------------------------------------------------------------------------------------
25// MIT LICENSE
26// ===========
27// Copyright (c) 2014 Michal Drobot (for concepts used in "FLOAT APPROXIMATIONS").
28// -----------
29// Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation
30// files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy,
31// modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the
32// Software is furnished to do so, subject to the following conditions:
33// -----------
34// The above copyright notice and this permission notice shall be included in all copies or substantial portions of the
35// Software.
36// -----------
37// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE
38// WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR
39// COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
40// ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
41//------------------------------------------------------------------------------------------------------------------------------
42// ABOUT
43// =====
44// Common central point for high-level shading language and C portability for various shader headers.
45//------------------------------------------------------------------------------------------------------------------------------
46// DEFINES
47// =======
48// A_CPU ..... Include the CPU related code.
49// A_GPU ..... Include the GPU related code.
50// A_GLSL .... Using GLSL.
51// A_HLSL .... Using HLSL.
52// A_HLSL_6_2 Using HLSL 6.2 with new 'uint16_t' and related types (requires '-enable-16bit-types').
53// A_NO_16_BIT_CAST Don't use instructions that are not availabe in SPIR-V (needed for running A_HLSL_6_2 on Vulkan)
54// A_GCC ..... Using a GCC compatible compiler (else assume MSVC compatible compiler by default).
55// =======
56// A_BYTE .... Support 8-bit integer.
57// A_HALF .... Support 16-bit integer and floating point.
58// A_LONG .... Support 64-bit integer.
59// A_DUBL .... Support 64-bit floating point.
60// =======
61// A_WAVE .... Support wave-wide operations.
62//------------------------------------------------------------------------------------------------------------------------------
63// To get #include "ffx_a.h" working in GLSL use '#extension GL_GOOGLE_include_directive:require'.
64//------------------------------------------------------------------------------------------------------------------------------
65// SIMPLIFIED TYPE SYSTEM
66// ======================
67// - All ints will be unsigned with exception of when signed is required.
68// - Type naming simplified and shortened "A<type><#components>",
69// - H = 16-bit float (half)
70// - F = 32-bit float (float)
71// - D = 64-bit float (double)
72// - P = 1-bit integer (predicate, not using bool because 'B' is used for byte)
73// - B = 8-bit integer (byte)
74// - W = 16-bit integer (word)
75// - U = 32-bit integer (unsigned)
76// - L = 64-bit integer (long)
77// - Using "AS<type><#components>" for signed when required.
78//------------------------------------------------------------------------------------------------------------------------------
79// TODO
80// ====
81// - Make sure 'ALerp*(a,b,m)' does 'b*m+(-a*m+a)' (2 ops).
82//------------------------------------------------------------------------------------------------------------------------------
83// CHANGE LOG
84// ==========
85// 20200914 - Expanded wave ops and prx code.
86// 20200713 - Added [ZOL] section, fixed serious bugs in sRGB and Rec.709 color conversion code, etc.
87//==============================================================================================================================
88////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
89////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
90//_____________________________________________________________/\_______________________________________________________________
91//==============================================================================================================================
92// COMMON
93//==============================================================================================================================
94#define A_2PI 6.28318530718
95////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
96////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
97////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
98////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
99////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
100////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
101//_____________________________________________________________/\_______________________________________________________________
102//==============================================================================================================================
103//
104//
105// CPU
106//
107//
108//==============================================================================================================================
109#ifdef A_CPU
110 // Supporting user defined overrides.
111 #ifndef A_RESTRICT
112 #define A_RESTRICT __restrict
113 #endif
114//------------------------------------------------------------------------------------------------------------------------------
115 #ifndef A_STATIC
116 #define A_STATIC static
117 #endif
118//------------------------------------------------------------------------------------------------------------------------------
119 // Same types across CPU and GPU.
120 // Predicate uses 32-bit integer (C friendly bool).
121 typedef uint32_t AP1;
122 typedef float AF1;
123 typedef double AD1;
124 typedef uint8_t AB1;
125 typedef uint16_t AW1;
126 typedef uint32_t AU1;
127 typedef uint64_t AL1;
128 typedef int8_t ASB1;
129 typedef int16_t ASW1;
130 typedef int32_t ASU1;
131 typedef int64_t ASL1;
132//------------------------------------------------------------------------------------------------------------------------------
133 #define AD1_(a) ((AD1)(a))
134 #define AF1_(a) ((AF1)(a))
135 #define AL1_(a) ((AL1)(a))
136 #define AU1_(a) ((AU1)(a))
137//------------------------------------------------------------------------------------------------------------------------------
138 #define ASL1_(a) ((ASL1)(a))
139 #define ASU1_(a) ((ASU1)(a))
140//------------------------------------------------------------------------------------------------------------------------------
141 A_STATIC AU1 AU1_AF1(AF1 a){union{AF1 f;AU1 u;}bits;bits.f=a;return bits.u;}
142//------------------------------------------------------------------------------------------------------------------------------
143 #define A_TRUE 1
144 #define A_FALSE 0
145////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
146////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
147////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
148////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
149//_____________________________________________________________/\_______________________________________________________________
150//==============================================================================================================================
151//
152// CPU/GPU PORTING
153//
154//------------------------------------------------------------------------------------------------------------------------------
155// Get CPU and GPU to share all setup code, without duplicate code paths.
156// This uses a lower-case prefix for special vector constructs.
157// - In C restrict pointers are used.
158// - In the shading language, in/inout/out arguments are used.
159// This depends on the ability to access a vector value in both languages via array syntax (aka color[2]).
160//==============================================================================================================================
161////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
162////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
163//_____________________________________________________________/\_______________________________________________________________
164//==============================================================================================================================
165// VECTOR ARGUMENT/RETURN/INITIALIZATION PORTABILITY
166//==============================================================================================================================
167 #define retAD2 AD1 *A_RESTRICT
168 #define retAD3 AD1 *A_RESTRICT
169 #define retAD4 AD1 *A_RESTRICT
170 #define retAF2 AF1 *A_RESTRICT
171 #define retAF3 AF1 *A_RESTRICT
172 #define retAF4 AF1 *A_RESTRICT
173 #define retAL2 AL1 *A_RESTRICT
174 #define retAL3 AL1 *A_RESTRICT
175 #define retAL4 AL1 *A_RESTRICT
176 #define retAU2 AU1 *A_RESTRICT
177 #define retAU3 AU1 *A_RESTRICT
178 #define retAU4 AU1 *A_RESTRICT
179//------------------------------------------------------------------------------------------------------------------------------
180 #define inAD2 AD1 *A_RESTRICT
181 #define inAD3 AD1 *A_RESTRICT
182 #define inAD4 AD1 *A_RESTRICT
183 #define inAF2 AF1 *A_RESTRICT
184 #define inAF3 AF1 *A_RESTRICT
185 #define inAF4 AF1 *A_RESTRICT
186 #define inAL2 AL1 *A_RESTRICT
187 #define inAL3 AL1 *A_RESTRICT
188 #define inAL4 AL1 *A_RESTRICT
189 #define inAU2 AU1 *A_RESTRICT
190 #define inAU3 AU1 *A_RESTRICT
191 #define inAU4 AU1 *A_RESTRICT
192//------------------------------------------------------------------------------------------------------------------------------
193 #define inoutAD2 AD1 *A_RESTRICT
194 #define inoutAD3 AD1 *A_RESTRICT
195 #define inoutAD4 AD1 *A_RESTRICT
196 #define inoutAF2 AF1 *A_RESTRICT
197 #define inoutAF3 AF1 *A_RESTRICT
198 #define inoutAF4 AF1 *A_RESTRICT
199 #define inoutAL2 AL1 *A_RESTRICT
200 #define inoutAL3 AL1 *A_RESTRICT
201 #define inoutAL4 AL1 *A_RESTRICT
202 #define inoutAU2 AU1 *A_RESTRICT
203 #define inoutAU3 AU1 *A_RESTRICT
204 #define inoutAU4 AU1 *A_RESTRICT
205//------------------------------------------------------------------------------------------------------------------------------
206 #define outAD2 AD1 *A_RESTRICT
207 #define outAD3 AD1 *A_RESTRICT
208 #define outAD4 AD1 *A_RESTRICT
209 #define outAF2 AF1 *A_RESTRICT
210 #define outAF3 AF1 *A_RESTRICT
211 #define outAF4 AF1 *A_RESTRICT
212 #define outAL2 AL1 *A_RESTRICT
213 #define outAL3 AL1 *A_RESTRICT
214 #define outAL4 AL1 *A_RESTRICT
215 #define outAU2 AU1 *A_RESTRICT
216 #define outAU3 AU1 *A_RESTRICT
217 #define outAU4 AU1 *A_RESTRICT
218//------------------------------------------------------------------------------------------------------------------------------
219 #define varAD2(x) AD1 x[2]
220 #define varAD3(x) AD1 x[3]
221 #define varAD4(x) AD1 x[4]
222 #define varAF2(x) AF1 x[2]
223 #define varAF3(x) AF1 x[3]
224 #define varAF4(x) AF1 x[4]
225 #define varAL2(x) AL1 x[2]
226 #define varAL3(x) AL1 x[3]
227 #define varAL4(x) AL1 x[4]
228 #define varAU2(x) AU1 x[2]
229 #define varAU3(x) AU1 x[3]
230 #define varAU4(x) AU1 x[4]
231//------------------------------------------------------------------------------------------------------------------------------
232 #define initAD2(x,y) {x,y}
233 #define initAD3(x,y,z) {x,y,z}
234 #define initAD4(x,y,z,w) {x,y,z,w}
235 #define initAF2(x,y) {x,y}
236 #define initAF3(x,y,z) {x,y,z}
237 #define initAF4(x,y,z,w) {x,y,z,w}
238 #define initAL2(x,y) {x,y}
239 #define initAL3(x,y,z) {x,y,z}
240 #define initAL4(x,y,z,w) {x,y,z,w}
241 #define initAU2(x,y) {x,y}
242 #define initAU3(x,y,z) {x,y,z}
243 #define initAU4(x,y,z,w) {x,y,z,w}
244////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
245////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
246//_____________________________________________________________/\_______________________________________________________________
247//==============================================================================================================================
248// SCALAR RETURN OPS
249//------------------------------------------------------------------------------------------------------------------------------
250// TODO
251// ====
252// - Replace transcendentals with manual versions.
253//==============================================================================================================================
254 #ifdef A_GCC
255 A_STATIC AD1 AAbsD1(AD1 a){return __builtin_fabs(a);}
256 A_STATIC AF1 AAbsF1(AF1 a){return __builtin_fabsf(a);}
257 A_STATIC AU1 AAbsSU1(AU1 a){return AU1_(__builtin_abs(ASU1_(a)));}
258 A_STATIC AL1 AAbsSL1(AL1 a){return AL1_(__builtin_llabs(ASL1_(a)));}
259 #else
260 A_STATIC AD1 AAbsD1(AD1 a){return fabs(a);}
261 A_STATIC AF1 AAbsF1(AF1 a){return fabsf(a);}
262 A_STATIC AU1 AAbsSU1(AU1 a){return AU1_(abs(ASU1_(a)));}
263 A_STATIC AL1 AAbsSL1(AL1 a){return AL1_(labs((long)ASL1_(a)));}
264 #endif
265//------------------------------------------------------------------------------------------------------------------------------
266 #ifdef A_GCC
267 A_STATIC AD1 ACosD1(AD1 a){return __builtin_cos(a);}
268 A_STATIC AF1 ACosF1(AF1 a){return __builtin_cosf(a);}
269 #else
270 A_STATIC AD1 ACosD1(AD1 a){return cos(a);}
271 A_STATIC AF1 ACosF1(AF1 a){return cosf(a);}
272 #endif
273//------------------------------------------------------------------------------------------------------------------------------
274 A_STATIC AD1 ADotD2(inAD2 a,inAD2 b){return a[0]*b[0]+a[1]*b[1];}
275 A_STATIC AD1 ADotD3(inAD3 a,inAD3 b){return a[0]*b[0]+a[1]*b[1]+a[2]*b[2];}
276 A_STATIC AD1 ADotD4(inAD4 a,inAD4 b){return a[0]*b[0]+a[1]*b[1]+a[2]*b[2]+a[3]*b[3];}
277 A_STATIC AF1 ADotF2(inAF2 a,inAF2 b){return a[0]*b[0]+a[1]*b[1];}
278 A_STATIC AF1 ADotF3(inAF3 a,inAF3 b){return a[0]*b[0]+a[1]*b[1]+a[2]*b[2];}
279 A_STATIC AF1 ADotF4(inAF4 a,inAF4 b){return a[0]*b[0]+a[1]*b[1]+a[2]*b[2]+a[3]*b[3];}
280//------------------------------------------------------------------------------------------------------------------------------
281 #ifdef A_GCC
282 A_STATIC AD1 AExp2D1(AD1 a){return __builtin_exp2(a);}
283 A_STATIC AF1 AExp2F1(AF1 a){return __builtin_exp2f(a);}
284 #else
285 A_STATIC AD1 AExp2D1(AD1 a){return exp2(a);}
286 A_STATIC AF1 AExp2F1(AF1 a){return exp2f(a);}
287 #endif
288//------------------------------------------------------------------------------------------------------------------------------
289 #ifdef A_GCC
290 A_STATIC AD1 AFloorD1(AD1 a){return __builtin_floor(a);}
291 A_STATIC AF1 AFloorF1(AF1 a){return __builtin_floorf(a);}
292 #else
293 A_STATIC AD1 AFloorD1(AD1 a){return floor(a);}
294 A_STATIC AF1 AFloorF1(AF1 a){return floorf(a);}
295 #endif
296//------------------------------------------------------------------------------------------------------------------------------
297 A_STATIC AD1 ALerpD1(AD1 a,AD1 b,AD1 c){return b*c+(-a*c+a);}
298 A_STATIC AF1 ALerpF1(AF1 a,AF1 b,AF1 c){return b*c+(-a*c+a);}
299//------------------------------------------------------------------------------------------------------------------------------
300 #ifdef A_GCC
301 A_STATIC AD1 ALog2D1(AD1 a){return __builtin_log2(a);}
302 A_STATIC AF1 ALog2F1(AF1 a){return __builtin_log2f(a);}
303 #else
304 A_STATIC AD1 ALog2D1(AD1 a){return log2(a);}
305 A_STATIC AF1 ALog2F1(AF1 a){return log2f(a);}
306 #endif
307//------------------------------------------------------------------------------------------------------------------------------
308 A_STATIC AD1 AMaxD1(AD1 a,AD1 b){return a>b?a:b;}
309 A_STATIC AF1 AMaxF1(AF1 a,AF1 b){return a>b?a:b;}
310 A_STATIC AL1 AMaxL1(AL1 a,AL1 b){return a>b?a:b;}
311 A_STATIC AU1 AMaxU1(AU1 a,AU1 b){return a>b?a:b;}
312//------------------------------------------------------------------------------------------------------------------------------
313 // These follow the convention that A integer types don't have signage, until they are operated on.
314 A_STATIC AL1 AMaxSL1(AL1 a,AL1 b){return (ASL1_(a)>ASL1_(b))?a:b;}
315 A_STATIC AU1 AMaxSU1(AU1 a,AU1 b){return (ASU1_(a)>ASU1_(b))?a:b;}
316//------------------------------------------------------------------------------------------------------------------------------
317 A_STATIC AD1 AMinD1(AD1 a,AD1 b){return a<b?a:b;}
318 A_STATIC AF1 AMinF1(AF1 a,AF1 b){return a<b?a:b;}
319 A_STATIC AL1 AMinL1(AL1 a,AL1 b){return a<b?a:b;}
320 A_STATIC AU1 AMinU1(AU1 a,AU1 b){return a<b?a:b;}
321//------------------------------------------------------------------------------------------------------------------------------
322 A_STATIC AL1 AMinSL1(AL1 a,AL1 b){return (ASL1_(a)<ASL1_(b))?a:b;}
323 A_STATIC AU1 AMinSU1(AU1 a,AU1 b){return (ASU1_(a)<ASU1_(b))?a:b;}
324//------------------------------------------------------------------------------------------------------------------------------
325 A_STATIC AD1 ARcpD1(AD1 a){return 1.0/a;}
326 A_STATIC AF1 ARcpF1(AF1 a){return 1.0f/a;}
327//------------------------------------------------------------------------------------------------------------------------------
328 A_STATIC AL1 AShrSL1(AL1 a,AL1 b){return AL1_(ASL1_(a)>>ASL1_(b));}
329 A_STATIC AU1 AShrSU1(AU1 a,AU1 b){return AU1_(ASU1_(a)>>ASU1_(b));}
330//------------------------------------------------------------------------------------------------------------------------------
331 #ifdef A_GCC
332 A_STATIC AD1 ASinD1(AD1 a){return __builtin_sin(a);}
333 A_STATIC AF1 ASinF1(AF1 a){return __builtin_sinf(a);}
334 #else
335 A_STATIC AD1 ASinD1(AD1 a){return sin(a);}
336 A_STATIC AF1 ASinF1(AF1 a){return sinf(a);}
337 #endif
338//------------------------------------------------------------------------------------------------------------------------------
339 #ifdef A_GCC
340 A_STATIC AD1 ASqrtD1(AD1 a){return __builtin_sqrt(a);}
341 A_STATIC AF1 ASqrtF1(AF1 a){return __builtin_sqrtf(a);}
342 #else
343 A_STATIC AD1 ASqrtD1(AD1 a){return sqrt(a);}
344 A_STATIC AF1 ASqrtF1(AF1 a){return sqrtf(a);}
345 #endif
346////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
347////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
348//_____________________________________________________________/\_______________________________________________________________
349//==============================================================================================================================
350// SCALAR RETURN OPS - DEPENDENT
351//==============================================================================================================================
352 A_STATIC AD1 AClampD1(AD1 x,AD1 n,AD1 m){return AMaxD1(n,AMinD1(x,m));}
353 A_STATIC AF1 AClampF1(AF1 x,AF1 n,AF1 m){return AMaxF1(n,AMinF1(x,m));}
354//------------------------------------------------------------------------------------------------------------------------------
355 A_STATIC AD1 AFractD1(AD1 a){return a-AFloorD1(a);}
356 A_STATIC AF1 AFractF1(AF1 a){return a-AFloorF1(a);}
357//------------------------------------------------------------------------------------------------------------------------------
358 A_STATIC AD1 APowD1(AD1 a,AD1 b){return AExp2D1(b*ALog2D1(a));}
359 A_STATIC AF1 APowF1(AF1 a,AF1 b){return AExp2F1(b*ALog2F1(a));}
360//------------------------------------------------------------------------------------------------------------------------------
361 A_STATIC AD1 ARsqD1(AD1 a){return ARcpD1(ASqrtD1(a));}
362 A_STATIC AF1 ARsqF1(AF1 a){return ARcpF1(ASqrtF1(a));}
363//------------------------------------------------------------------------------------------------------------------------------
364 A_STATIC AD1 ASatD1(AD1 a){return AMinD1(1.0,AMaxD1(0.0,a));}
365 A_STATIC AF1 ASatF1(AF1 a){return AMinF1(1.0f,AMaxF1(0.0f,a));}
366////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
367////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
368//_____________________________________________________________/\_______________________________________________________________
369//==============================================================================================================================
370// VECTOR OPS
371//------------------------------------------------------------------------------------------------------------------------------
372// These are added as needed for production or prototyping, so not necessarily a complete set.
373// They follow a convention of taking in a destination and also returning the destination value to increase utility.
374//==============================================================================================================================
375 A_STATIC retAD2 opAAbsD2(outAD2 d,inAD2 a){d[0]=AAbsD1(a[0]);d[1]=AAbsD1(a[1]);return d;}
376 A_STATIC retAD3 opAAbsD3(outAD3 d,inAD3 a){d[0]=AAbsD1(a[0]);d[1]=AAbsD1(a[1]);d[2]=AAbsD1(a[2]);return d;}
377 A_STATIC retAD4 opAAbsD4(outAD4 d,inAD4 a){d[0]=AAbsD1(a[0]);d[1]=AAbsD1(a[1]);d[2]=AAbsD1(a[2]);d[3]=AAbsD1(a[3]);return d;}
378//------------------------------------------------------------------------------------------------------------------------------
379 A_STATIC retAF2 opAAbsF2(outAF2 d,inAF2 a){d[0]=AAbsF1(a[0]);d[1]=AAbsF1(a[1]);return d;}
380 A_STATIC retAF3 opAAbsF3(outAF3 d,inAF3 a){d[0]=AAbsF1(a[0]);d[1]=AAbsF1(a[1]);d[2]=AAbsF1(a[2]);return d;}
381 A_STATIC retAF4 opAAbsF4(outAF4 d,inAF4 a){d[0]=AAbsF1(a[0]);d[1]=AAbsF1(a[1]);d[2]=AAbsF1(a[2]);d[3]=AAbsF1(a[3]);return d;}
382//==============================================================================================================================
383 A_STATIC retAD2 opAAddD2(outAD2 d,inAD2 a,inAD2 b){d[0]=a[0]+b[0];d[1]=a[1]+b[1];return d;}
384 A_STATIC retAD3 opAAddD3(outAD3 d,inAD3 a,inAD3 b){d[0]=a[0]+b[0];d[1]=a[1]+b[1];d[2]=a[2]+b[2];return d;}
385 A_STATIC retAD4 opAAddD4(outAD4 d,inAD4 a,inAD4 b){d[0]=a[0]+b[0];d[1]=a[1]+b[1];d[2]=a[2]+b[2];d[3]=a[3]+b[3];return d;}
386//------------------------------------------------------------------------------------------------------------------------------
387 A_STATIC retAF2 opAAddF2(outAF2 d,inAF2 a,inAF2 b){d[0]=a[0]+b[0];d[1]=a[1]+b[1];return d;}
388 A_STATIC retAF3 opAAddF3(outAF3 d,inAF3 a,inAF3 b){d[0]=a[0]+b[0];d[1]=a[1]+b[1];d[2]=a[2]+b[2];return d;}
389 A_STATIC retAF4 opAAddF4(outAF4 d,inAF4 a,inAF4 b){d[0]=a[0]+b[0];d[1]=a[1]+b[1];d[2]=a[2]+b[2];d[3]=a[3]+b[3];return d;}
390//==============================================================================================================================
391 A_STATIC retAD2 opAAddOneD2(outAD2 d,inAD2 a,AD1 b){d[0]=a[0]+b;d[1]=a[1]+b;return d;}
392 A_STATIC retAD3 opAAddOneD3(outAD3 d,inAD3 a,AD1 b){d[0]=a[0]+b;d[1]=a[1]+b;d[2]=a[2]+b;return d;}
393 A_STATIC retAD4 opAAddOneD4(outAD4 d,inAD4 a,AD1 b){d[0]=a[0]+b;d[1]=a[1]+b;d[2]=a[2]+b;d[3]=a[3]+b;return d;}
394//------------------------------------------------------------------------------------------------------------------------------
395 A_STATIC retAF2 opAAddOneF2(outAF2 d,inAF2 a,AF1 b){d[0]=a[0]+b;d[1]=a[1]+b;return d;}
396 A_STATIC retAF3 opAAddOneF3(outAF3 d,inAF3 a,AF1 b){d[0]=a[0]+b;d[1]=a[1]+b;d[2]=a[2]+b;return d;}
397 A_STATIC retAF4 opAAddOneF4(outAF4 d,inAF4 a,AF1 b){d[0]=a[0]+b;d[1]=a[1]+b;d[2]=a[2]+b;d[3]=a[3]+b;return d;}
398//==============================================================================================================================
399 A_STATIC retAD2 opACpyD2(outAD2 d,inAD2 a){d[0]=a[0];d[1]=a[1];return d;}
400 A_STATIC retAD3 opACpyD3(outAD3 d,inAD3 a){d[0]=a[0];d[1]=a[1];d[2]=a[2];return d;}
401 A_STATIC retAD4 opACpyD4(outAD4 d,inAD4 a){d[0]=a[0];d[1]=a[1];d[2]=a[2];d[3]=a[3];return d;}
402//------------------------------------------------------------------------------------------------------------------------------
403 A_STATIC retAF2 opACpyF2(outAF2 d,inAF2 a){d[0]=a[0];d[1]=a[1];return d;}
404 A_STATIC retAF3 opACpyF3(outAF3 d,inAF3 a){d[0]=a[0];d[1]=a[1];d[2]=a[2];return d;}
405 A_STATIC retAF4 opACpyF4(outAF4 d,inAF4 a){d[0]=a[0];d[1]=a[1];d[2]=a[2];d[3]=a[3];return d;}
406//==============================================================================================================================
407 A_STATIC retAD2 opALerpD2(outAD2 d,inAD2 a,inAD2 b,inAD2 c){d[0]=ALerpD1(a[0],b[0],c[0]);d[1]=ALerpD1(a[1],b[1],c[1]);return d;}
408 A_STATIC retAD3 opALerpD3(outAD3 d,inAD3 a,inAD3 b,inAD3 c){d[0]=ALerpD1(a[0],b[0],c[0]);d[1]=ALerpD1(a[1],b[1],c[1]);d[2]=ALerpD1(a[2],b[2],c[2]);return d;}
409 A_STATIC retAD4 opALerpD4(outAD4 d,inAD4 a,inAD4 b,inAD4 c){d[0]=ALerpD1(a[0],b[0],c[0]);d[1]=ALerpD1(a[1],b[1],c[1]);d[2]=ALerpD1(a[2],b[2],c[2]);d[3]=ALerpD1(a[3],b[3],c[3]);return d;}
410//------------------------------------------------------------------------------------------------------------------------------
411 A_STATIC retAF2 opALerpF2(outAF2 d,inAF2 a,inAF2 b,inAF2 c){d[0]=ALerpF1(a[0],b[0],c[0]);d[1]=ALerpF1(a[1],b[1],c[1]);return d;}
412 A_STATIC retAF3 opALerpF3(outAF3 d,inAF3 a,inAF3 b,inAF3 c){d[0]=ALerpF1(a[0],b[0],c[0]);d[1]=ALerpF1(a[1],b[1],c[1]);d[2]=ALerpF1(a[2],b[2],c[2]);return d;}
413 A_STATIC retAF4 opALerpF4(outAF4 d,inAF4 a,inAF4 b,inAF4 c){d[0]=ALerpF1(a[0],b[0],c[0]);d[1]=ALerpF1(a[1],b[1],c[1]);d[2]=ALerpF1(a[2],b[2],c[2]);d[3]=ALerpF1(a[3],b[3],c[3]);return d;}
414//==============================================================================================================================
415 A_STATIC retAD2 opALerpOneD2(outAD2 d,inAD2 a,inAD2 b,AD1 c){d[0]=ALerpD1(a[0],b[0],c);d[1]=ALerpD1(a[1],b[1],c);return d;}
416 A_STATIC retAD3 opALerpOneD3(outAD3 d,inAD3 a,inAD3 b,AD1 c){d[0]=ALerpD1(a[0],b[0],c);d[1]=ALerpD1(a[1],b[1],c);d[2]=ALerpD1(a[2],b[2],c);return d;}
417 A_STATIC retAD4 opALerpOneD4(outAD4 d,inAD4 a,inAD4 b,AD1 c){d[0]=ALerpD1(a[0],b[0],c);d[1]=ALerpD1(a[1],b[1],c);d[2]=ALerpD1(a[2],b[2],c);d[3]=ALerpD1(a[3],b[3],c);return d;}
418//------------------------------------------------------------------------------------------------------------------------------
419 A_STATIC retAF2 opALerpOneF2(outAF2 d,inAF2 a,inAF2 b,AF1 c){d[0]=ALerpF1(a[0],b[0],c);d[1]=ALerpF1(a[1],b[1],c);return d;}
420 A_STATIC retAF3 opALerpOneF3(outAF3 d,inAF3 a,inAF3 b,AF1 c){d[0]=ALerpF1(a[0],b[0],c);d[1]=ALerpF1(a[1],b[1],c);d[2]=ALerpF1(a[2],b[2],c);return d;}
421 A_STATIC retAF4 opALerpOneF4(outAF4 d,inAF4 a,inAF4 b,AF1 c){d[0]=ALerpF1(a[0],b[0],c);d[1]=ALerpF1(a[1],b[1],c);d[2]=ALerpF1(a[2],b[2],c);d[3]=ALerpF1(a[3],b[3],c);return d;}
422//==============================================================================================================================
423 A_STATIC retAD2 opAMaxD2(outAD2 d,inAD2 a,inAD2 b){d[0]=AMaxD1(a[0],b[0]);d[1]=AMaxD1(a[1],b[1]);return d;}
424 A_STATIC retAD3 opAMaxD3(outAD3 d,inAD3 a,inAD3 b){d[0]=AMaxD1(a[0],b[0]);d[1]=AMaxD1(a[1],b[1]);d[2]=AMaxD1(a[2],b[2]);return d;}
425 A_STATIC retAD4 opAMaxD4(outAD4 d,inAD4 a,inAD4 b){d[0]=AMaxD1(a[0],b[0]);d[1]=AMaxD1(a[1],b[1]);d[2]=AMaxD1(a[2],b[2]);d[3]=AMaxD1(a[3],b[3]);return d;}
426//------------------------------------------------------------------------------------------------------------------------------
427 A_STATIC retAF2 opAMaxF2(outAF2 d,inAF2 a,inAF2 b){d[0]=AMaxF1(a[0],b[0]);d[1]=AMaxF1(a[1],b[1]);return d;}
428 A_STATIC retAF3 opAMaxF3(outAF3 d,inAF3 a,inAF3 b){d[0]=AMaxF1(a[0],b[0]);d[1]=AMaxF1(a[1],b[1]);d[2]=AMaxF1(a[2],b[2]);return d;}
429 A_STATIC retAF4 opAMaxF4(outAF4 d,inAF4 a,inAF4 b){d[0]=AMaxF1(a[0],b[0]);d[1]=AMaxF1(a[1],b[1]);d[2]=AMaxF1(a[2],b[2]);d[3]=AMaxF1(a[3],b[3]);return d;}
430//==============================================================================================================================
431 A_STATIC retAD2 opAMinD2(outAD2 d,inAD2 a,inAD2 b){d[0]=AMinD1(a[0],b[0]);d[1]=AMinD1(a[1],b[1]);return d;}
432 A_STATIC retAD3 opAMinD3(outAD3 d,inAD3 a,inAD3 b){d[0]=AMinD1(a[0],b[0]);d[1]=AMinD1(a[1],b[1]);d[2]=AMinD1(a[2],b[2]);return d;}
433 A_STATIC retAD4 opAMinD4(outAD4 d,inAD4 a,inAD4 b){d[0]=AMinD1(a[0],b[0]);d[1]=AMinD1(a[1],b[1]);d[2]=AMinD1(a[2],b[2]);d[3]=AMinD1(a[3],b[3]);return d;}
434//------------------------------------------------------------------------------------------------------------------------------
435 A_STATIC retAF2 opAMinF2(outAF2 d,inAF2 a,inAF2 b){d[0]=AMinF1(a[0],b[0]);d[1]=AMinF1(a[1],b[1]);return d;}
436 A_STATIC retAF3 opAMinF3(outAF3 d,inAF3 a,inAF3 b){d[0]=AMinF1(a[0],b[0]);d[1]=AMinF1(a[1],b[1]);d[2]=AMinF1(a[2],b[2]);return d;}
437 A_STATIC retAF4 opAMinF4(outAF4 d,inAF4 a,inAF4 b){d[0]=AMinF1(a[0],b[0]);d[1]=AMinF1(a[1],b[1]);d[2]=AMinF1(a[2],b[2]);d[3]=AMinF1(a[3],b[3]);return d;}
438//==============================================================================================================================
439 A_STATIC retAD2 opAMulD2(outAD2 d,inAD2 a,inAD2 b){d[0]=a[0]*b[0];d[1]=a[1]*b[1];return d;}
440 A_STATIC retAD3 opAMulD3(outAD3 d,inAD3 a,inAD3 b){d[0]=a[0]*b[0];d[1]=a[1]*b[1];d[2]=a[2]*b[2];return d;}
441 A_STATIC retAD4 opAMulD4(outAD4 d,inAD4 a,inAD4 b){d[0]=a[0]*b[0];d[1]=a[1]*b[1];d[2]=a[2]*b[2];d[3]=a[3]*b[3];return d;}
442//------------------------------------------------------------------------------------------------------------------------------
443 A_STATIC retAF2 opAMulF2(outAF2 d,inAF2 a,inAF2 b){d[0]=a[0]*b[0];d[1]=a[1]*b[1];return d;}
444 A_STATIC retAF3 opAMulF3(outAF3 d,inAF3 a,inAF3 b){d[0]=a[0]*b[0];d[1]=a[1]*b[1];d[2]=a[2]*b[2];return d;}
445 A_STATIC retAF4 opAMulF4(outAF4 d,inAF4 a,inAF4 b){d[0]=a[0]*b[0];d[1]=a[1]*b[1];d[2]=a[2]*b[2];d[3]=a[3]*b[3];return d;}
446//==============================================================================================================================
447 A_STATIC retAD2 opAMulOneD2(outAD2 d,inAD2 a,AD1 b){d[0]=a[0]*b;d[1]=a[1]*b;return d;}
448 A_STATIC retAD3 opAMulOneD3(outAD3 d,inAD3 a,AD1 b){d[0]=a[0]*b;d[1]=a[1]*b;d[2]=a[2]*b;return d;}
449 A_STATIC retAD4 opAMulOneD4(outAD4 d,inAD4 a,AD1 b){d[0]=a[0]*b;d[1]=a[1]*b;d[2]=a[2]*b;d[3]=a[3]*b;return d;}
450//------------------------------------------------------------------------------------------------------------------------------
451 A_STATIC retAF2 opAMulOneF2(outAF2 d,inAF2 a,AF1 b){d[0]=a[0]*b;d[1]=a[1]*b;return d;}
452 A_STATIC retAF3 opAMulOneF3(outAF3 d,inAF3 a,AF1 b){d[0]=a[0]*b;d[1]=a[1]*b;d[2]=a[2]*b;return d;}
453 A_STATIC retAF4 opAMulOneF4(outAF4 d,inAF4 a,AF1 b){d[0]=a[0]*b;d[1]=a[1]*b;d[2]=a[2]*b;d[3]=a[3]*b;return d;}
454//==============================================================================================================================
455 A_STATIC retAD2 opANegD2(outAD2 d,inAD2 a){d[0]=-a[0];d[1]=-a[1];return d;}
456 A_STATIC retAD3 opANegD3(outAD3 d,inAD3 a){d[0]=-a[0];d[1]=-a[1];d[2]=-a[2];return d;}
457 A_STATIC retAD4 opANegD4(outAD4 d,inAD4 a){d[0]=-a[0];d[1]=-a[1];d[2]=-a[2];d[3]=-a[3];return d;}
458//------------------------------------------------------------------------------------------------------------------------------
459 A_STATIC retAF2 opANegF2(outAF2 d,inAF2 a){d[0]=-a[0];d[1]=-a[1];return d;}
460 A_STATIC retAF3 opANegF3(outAF3 d,inAF3 a){d[0]=-a[0];d[1]=-a[1];d[2]=-a[2];return d;}
461 A_STATIC retAF4 opANegF4(outAF4 d,inAF4 a){d[0]=-a[0];d[1]=-a[1];d[2]=-a[2];d[3]=-a[3];return d;}
462//==============================================================================================================================
463 A_STATIC retAD2 opARcpD2(outAD2 d,inAD2 a){d[0]=ARcpD1(a[0]);d[1]=ARcpD1(a[1]);return d;}
464 A_STATIC retAD3 opARcpD3(outAD3 d,inAD3 a){d[0]=ARcpD1(a[0]);d[1]=ARcpD1(a[1]);d[2]=ARcpD1(a[2]);return d;}
465 A_STATIC retAD4 opARcpD4(outAD4 d,inAD4 a){d[0]=ARcpD1(a[0]);d[1]=ARcpD1(a[1]);d[2]=ARcpD1(a[2]);d[3]=ARcpD1(a[3]);return d;}
466//------------------------------------------------------------------------------------------------------------------------------
467 A_STATIC retAF2 opARcpF2(outAF2 d,inAF2 a){d[0]=ARcpF1(a[0]);d[1]=ARcpF1(a[1]);return d;}
468 A_STATIC retAF3 opARcpF3(outAF3 d,inAF3 a){d[0]=ARcpF1(a[0]);d[1]=ARcpF1(a[1]);d[2]=ARcpF1(a[2]);return d;}
469 A_STATIC retAF4 opARcpF4(outAF4 d,inAF4 a){d[0]=ARcpF1(a[0]);d[1]=ARcpF1(a[1]);d[2]=ARcpF1(a[2]);d[3]=ARcpF1(a[3]);return d;}
470////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
471////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
472//_____________________________________________________________/\_______________________________________________________________
473//==============================================================================================================================
474// HALF FLOAT PACKING
475//==============================================================================================================================
476 // Convert float to half (in lower 16-bits of output).
477 // Same fast technique as documented here: ftp://ftp.fox-toolkit.org/pub/fasthalffloatconversion.pdf
478 // Supports denormals.
479 // Conversion rules are to make computations possibly "safer" on the GPU,
480 // -INF & -NaN -> -65504
481 // +INF & +NaN -> +65504
482 A_STATIC AU1 AU1_AH1_AF1(AF1 f){
483 static AW1 base[512]={
484 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,
485 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,
486 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,
487 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,
488 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,
489 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,
490 0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0000,0x0001,0x0002,0x0004,0x0008,0x0010,0x0020,0x0040,0x0080,0x0100,
491 0x0200,0x0400,0x0800,0x0c00,0x1000,0x1400,0x1800,0x1c00,0x2000,0x2400,0x2800,0x2c00,0x3000,0x3400,0x3800,0x3c00,
492 0x4000,0x4400,0x4800,0x4c00,0x5000,0x5400,0x5800,0x5c00,0x6000,0x6400,0x6800,0x6c00,0x7000,0x7400,0x7800,0x7bff,
493 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
494 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
495 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
496 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
497 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
498 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
499 0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,0x7bff,
500 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,
501 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,
502 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,
503 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,
504 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,
505 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,
506 0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8000,0x8001,0x8002,0x8004,0x8008,0x8010,0x8020,0x8040,0x8080,0x8100,
507 0x8200,0x8400,0x8800,0x8c00,0x9000,0x9400,0x9800,0x9c00,0xa000,0xa400,0xa800,0xac00,0xb000,0xb400,0xb800,0xbc00,
508 0xc000,0xc400,0xc800,0xcc00,0xd000,0xd400,0xd800,0xdc00,0xe000,0xe400,0xe800,0xec00,0xf000,0xf400,0xf800,0xfbff,
509 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,
510 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,
511 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,
512 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,
513 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,
514 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,
515 0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff,0xfbff};
516 static AB1 shift[512]={
517 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
518 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
519 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
520 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
521 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
522 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
523 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x17,0x16,0x15,0x14,0x13,0x12,0x11,0x10,0x0f,
524 0x0e,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,
525 0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x18,
526 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
527 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
528 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
529 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
530 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
531 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
532 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
533 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
534 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
535 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
536 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
537 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
538 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
539 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x17,0x16,0x15,0x14,0x13,0x12,0x11,0x10,0x0f,
540 0x0e,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,
541 0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x0d,0x18,
542 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
543 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
544 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
545 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
546 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
547 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,
548 0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18,0x18};
549 union{AF1 f;AU1 u;}bits;bits.f=f;AU1 u=bits.u;AU1 i=u>>23;return (AU1)(base[i])+((u&0x7fffff)>>shift[i]);}
550//------------------------------------------------------------------------------------------------------------------------------
551 // Used to output packed constant.
552 A_STATIC AU1 AU1_AH2_AF2(inAF2 a){return AU1_AH1_AF1(a[0])+(AU1_AH1_AF1(a[1])<<16);}
553#endif
554////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
555////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
556////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
557////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
558////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
559////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
560//_____________________________________________________________/\_______________________________________________________________
561//==============================================================================================================================
562//
563//
564// GLSL
565//
566//
567//==============================================================================================================================
568#if defined(A_GLSL) && defined(A_GPU)
569 #ifndef A_SKIP_EXT
570 #ifdef A_HALF
571 #extension GL_EXT_shader_16bit_storage:require
572 #extension GL_EXT_shader_explicit_arithmetic_types:require
573 #endif
574//------------------------------------------------------------------------------------------------------------------------------
575 #ifdef A_LONG
576 #extension GL_ARB_gpu_shader_int64:require
577 #extension GL_NV_shader_atomic_int64:require
578 #endif
579//------------------------------------------------------------------------------------------------------------------------------
580 #ifdef A_WAVE
581 #extension GL_KHR_shader_subgroup_arithmetic:require
582 #extension GL_KHR_shader_subgroup_ballot:require
583 #extension GL_KHR_shader_subgroup_quad:require
584 #extension GL_KHR_shader_subgroup_shuffle:require
585 #endif
586 #endif
587//==============================================================================================================================
588 #define AP1 bool
589 #define AP2 bvec2
590 #define AP3 bvec3
591 #define AP4 bvec4
592//------------------------------------------------------------------------------------------------------------------------------
593 #define AF1 float
594 #define AF2 vec2
595 #define AF3 vec3
596 #define AF4 vec4
597//------------------------------------------------------------------------------------------------------------------------------
598 #define AU1 uint
599 #define AU2 uvec2
600 #define AU3 uvec3
601 #define AU4 uvec4
602//------------------------------------------------------------------------------------------------------------------------------
603 #define ASU1 int
604 #define ASU2 ivec2
605 #define ASU3 ivec3
606 #define ASU4 ivec4
607//==============================================================================================================================
608 #define AF1_AU1(x) uintBitsToFloat(AU1(x))
609 #define AF2_AU2(x) uintBitsToFloat(AU2(x))
610 #define AF3_AU3(x) uintBitsToFloat(AU3(x))
611 #define AF4_AU4(x) uintBitsToFloat(AU4(x))
612//------------------------------------------------------------------------------------------------------------------------------
613 #define AU1_AF1(x) floatBitsToUint(AF1(x))
614 #define AU2_AF2(x) floatBitsToUint(AF2(x))
615 #define AU3_AF3(x) floatBitsToUint(AF3(x))
616 #define AU4_AF4(x) floatBitsToUint(AF4(x))
617//------------------------------------------------------------------------------------------------------------------------------
618 AU1 AU1_AH1_AF1_x(AF1 a){return packHalf2x16(AF2(a,0.0));}
619 #define AU1_AH1_AF1(a) AU1_AH1_AF1_x(AF1(a))
620//------------------------------------------------------------------------------------------------------------------------------
621 #define AU1_AH2_AF2 packHalf2x16
622 #define AU1_AW2Unorm_AF2 packUnorm2x16
623 #define AU1_AB4Unorm_AF4 packUnorm4x8
624//------------------------------------------------------------------------------------------------------------------------------
625 #define AF2_AH2_AU1 unpackHalf2x16
626 #define AF2_AW2Unorm_AU1 unpackUnorm2x16
627 #define AF4_AB4Unorm_AU1 unpackUnorm4x8
628//==============================================================================================================================
629 AF1 AF1_x(AF1 a){return AF1(a);}
630 AF2 AF2_x(AF1 a){return AF2(a,a);}
631 AF3 AF3_x(AF1 a){return AF3(a,a,a);}
632 AF4 AF4_x(AF1 a){return AF4(a,a,a,a);}
633 #define AF1_(a) AF1_x(AF1(a))
634 #define AF2_(a) AF2_x(AF1(a))
635 #define AF3_(a) AF3_x(AF1(a))
636 #define AF4_(a) AF4_x(AF1(a))
637//------------------------------------------------------------------------------------------------------------------------------
638 AU1 AU1_x(AU1 a){return AU1(a);}
639 AU2 AU2_x(AU1 a){return AU2(a,a);}
640 AU3 AU3_x(AU1 a){return AU3(a,a,a);}
641 AU4 AU4_x(AU1 a){return AU4(a,a,a,a);}
642 #define AU1_(a) AU1_x(AU1(a))
643 #define AU2_(a) AU2_x(AU1(a))
644 #define AU3_(a) AU3_x(AU1(a))
645 #define AU4_(a) AU4_x(AU1(a))
646//==============================================================================================================================
647 AU1 AAbsSU1(AU1 a){return AU1(abs(ASU1(a)));}
648 AU2 AAbsSU2(AU2 a){return AU2(abs(ASU2(a)));}
649 AU3 AAbsSU3(AU3 a){return AU3(abs(ASU3(a)));}
650 AU4 AAbsSU4(AU4 a){return AU4(abs(ASU4(a)));}
651//------------------------------------------------------------------------------------------------------------------------------
652 AU1 ABfe(AU1 src,AU1 off,AU1 bits){return bitfieldExtract(src,ASU1(off),ASU1(bits));}
653 AU1 ABfi(AU1 src,AU1 ins,AU1 mask){return (ins&mask)|(src&(~mask));}
654 // Proxy for V_BFI_B32 where the 'mask' is set as 'bits', 'mask=(1<<bits)-1', and 'bits' needs to be an immediate.
655 AU1 ABfiM(AU1 src,AU1 ins,AU1 bits){return bitfieldInsert(src,ins,0,ASU1(bits));}
656//------------------------------------------------------------------------------------------------------------------------------
657 // V_MED3_F32.
658 AF1 AClampF1(AF1 x,AF1 n,AF1 m){return clamp(x,n,m);}
659 AF2 AClampF2(AF2 x,AF2 n,AF2 m){return clamp(x,n,m);}
660 AF3 AClampF3(AF3 x,AF3 n,AF3 m){return clamp(x,n,m);}
661 AF4 AClampF4(AF4 x,AF4 n,AF4 m){return clamp(x,n,m);}
662//------------------------------------------------------------------------------------------------------------------------------
663 // V_FRACT_F32 (note DX frac() is different).
664 AF1 AFractF1(AF1 x){return fract(x);}
665 AF2 AFractF2(AF2 x){return fract(x);}
666 AF3 AFractF3(AF3 x){return fract(x);}
667 AF4 AFractF4(AF4 x){return fract(x);}
668//------------------------------------------------------------------------------------------------------------------------------
669 AF1 ALerpF1(AF1 x,AF1 y,AF1 a){return mix(x,y,a);}
670 AF2 ALerpF2(AF2 x,AF2 y,AF2 a){return mix(x,y,a);}
671 AF3 ALerpF3(AF3 x,AF3 y,AF3 a){return mix(x,y,a);}
672 AF4 ALerpF4(AF4 x,AF4 y,AF4 a){return mix(x,y,a);}
673//------------------------------------------------------------------------------------------------------------------------------
674 // V_MAX3_F32.
675 AF1 AMax3F1(AF1 x,AF1 y,AF1 z){return max(x,max(y,z));}
676 AF2 AMax3F2(AF2 x,AF2 y,AF2 z){return max(x,max(y,z));}
677 AF3 AMax3F3(AF3 x,AF3 y,AF3 z){return max(x,max(y,z));}
678 AF4 AMax3F4(AF4 x,AF4 y,AF4 z){return max(x,max(y,z));}
679//------------------------------------------------------------------------------------------------------------------------------
680 AU1 AMax3SU1(AU1 x,AU1 y,AU1 z){return AU1(max(ASU1(x),max(ASU1(y),ASU1(z))));}
681 AU2 AMax3SU2(AU2 x,AU2 y,AU2 z){return AU2(max(ASU2(x),max(ASU2(y),ASU2(z))));}
682 AU3 AMax3SU3(AU3 x,AU3 y,AU3 z){return AU3(max(ASU3(x),max(ASU3(y),ASU3(z))));}
683 AU4 AMax3SU4(AU4 x,AU4 y,AU4 z){return AU4(max(ASU4(x),max(ASU4(y),ASU4(z))));}
684//------------------------------------------------------------------------------------------------------------------------------
685 AU1 AMax3U1(AU1 x,AU1 y,AU1 z){return max(x,max(y,z));}
686 AU2 AMax3U2(AU2 x,AU2 y,AU2 z){return max(x,max(y,z));}
687 AU3 AMax3U3(AU3 x,AU3 y,AU3 z){return max(x,max(y,z));}
688 AU4 AMax3U4(AU4 x,AU4 y,AU4 z){return max(x,max(y,z));}
689//------------------------------------------------------------------------------------------------------------------------------
690 AU1 AMaxSU1(AU1 a,AU1 b){return AU1(max(ASU1(a),ASU1(b)));}
691 AU2 AMaxSU2(AU2 a,AU2 b){return AU2(max(ASU2(a),ASU2(b)));}
692 AU3 AMaxSU3(AU3 a,AU3 b){return AU3(max(ASU3(a),ASU3(b)));}
693 AU4 AMaxSU4(AU4 a,AU4 b){return AU4(max(ASU4(a),ASU4(b)));}
694//------------------------------------------------------------------------------------------------------------------------------
695 // Clamp has an easier pattern match for med3 when some ordering is known.
696 // V_MED3_F32.
697 AF1 AMed3F1(AF1 x,AF1 y,AF1 z){return max(min(x,y),min(max(x,y),z));}
698 AF2 AMed3F2(AF2 x,AF2 y,AF2 z){return max(min(x,y),min(max(x,y),z));}
699 AF3 AMed3F3(AF3 x,AF3 y,AF3 z){return max(min(x,y),min(max(x,y),z));}
700 AF4 AMed3F4(AF4 x,AF4 y,AF4 z){return max(min(x,y),min(max(x,y),z));}
701//------------------------------------------------------------------------------------------------------------------------------
702 // V_MIN3_F32.
703 AF1 AMin3F1(AF1 x,AF1 y,AF1 z){return min(x,min(y,z));}
704 AF2 AMin3F2(AF2 x,AF2 y,AF2 z){return min(x,min(y,z));}
705 AF3 AMin3F3(AF3 x,AF3 y,AF3 z){return min(x,min(y,z));}
706 AF4 AMin3F4(AF4 x,AF4 y,AF4 z){return min(x,min(y,z));}
707//------------------------------------------------------------------------------------------------------------------------------
708 AU1 AMin3SU1(AU1 x,AU1 y,AU1 z){return AU1(min(ASU1(x),min(ASU1(y),ASU1(z))));}
709 AU2 AMin3SU2(AU2 x,AU2 y,AU2 z){return AU2(min(ASU2(x),min(ASU2(y),ASU2(z))));}
710 AU3 AMin3SU3(AU3 x,AU3 y,AU3 z){return AU3(min(ASU3(x),min(ASU3(y),ASU3(z))));}
711 AU4 AMin3SU4(AU4 x,AU4 y,AU4 z){return AU4(min(ASU4(x),min(ASU4(y),ASU4(z))));}
712//------------------------------------------------------------------------------------------------------------------------------
713 AU1 AMin3U1(AU1 x,AU1 y,AU1 z){return min(x,min(y,z));}
714 AU2 AMin3U2(AU2 x,AU2 y,AU2 z){return min(x,min(y,z));}
715 AU3 AMin3U3(AU3 x,AU3 y,AU3 z){return min(x,min(y,z));}
716 AU4 AMin3U4(AU4 x,AU4 y,AU4 z){return min(x,min(y,z));}
717//------------------------------------------------------------------------------------------------------------------------------
718 AU1 AMinSU1(AU1 a,AU1 b){return AU1(min(ASU1(a),ASU1(b)));}
719 AU2 AMinSU2(AU2 a,AU2 b){return AU2(min(ASU2(a),ASU2(b)));}
720 AU3 AMinSU3(AU3 a,AU3 b){return AU3(min(ASU3(a),ASU3(b)));}
721 AU4 AMinSU4(AU4 a,AU4 b){return AU4(min(ASU4(a),ASU4(b)));}
722//------------------------------------------------------------------------------------------------------------------------------
723 // Normalized trig. Valid input domain is {-256 to +256}. No GLSL compiler intrinsic exists to map to this currently.
724 // V_COS_F32.
725 AF1 ANCosF1(AF1 x){return cos(x*AF1_(A_2PI));}
726 AF2 ANCosF2(AF2 x){return cos(x*AF2_(A_2PI));}
727 AF3 ANCosF3(AF3 x){return cos(x*AF3_(A_2PI));}
728 AF4 ANCosF4(AF4 x){return cos(x*AF4_(A_2PI));}
729//------------------------------------------------------------------------------------------------------------------------------
730 // Normalized trig. Valid input domain is {-256 to +256}. No GLSL compiler intrinsic exists to map to this currently.
731 // V_SIN_F32.
732 AF1 ANSinF1(AF1 x){return sin(x*AF1_(A_2PI));}
733 AF2 ANSinF2(AF2 x){return sin(x*AF2_(A_2PI));}
734 AF3 ANSinF3(AF3 x){return sin(x*AF3_(A_2PI));}
735 AF4 ANSinF4(AF4 x){return sin(x*AF4_(A_2PI));}
736//------------------------------------------------------------------------------------------------------------------------------
737 AF1 ARcpF1(AF1 x){return AF1_(1.0)/x;}
738 AF2 ARcpF2(AF2 x){return AF2_(1.0)/x;}
739 AF3 ARcpF3(AF3 x){return AF3_(1.0)/x;}
740 AF4 ARcpF4(AF4 x){return AF4_(1.0)/x;}
741//------------------------------------------------------------------------------------------------------------------------------
742 AF1 ARsqF1(AF1 x){return AF1_(1.0)/sqrt(x);}
743 AF2 ARsqF2(AF2 x){return AF2_(1.0)/sqrt(x);}
744 AF3 ARsqF3(AF3 x){return AF3_(1.0)/sqrt(x);}
745 AF4 ARsqF4(AF4 x){return AF4_(1.0)/sqrt(x);}
746//------------------------------------------------------------------------------------------------------------------------------
747 AF1 ASatF1(AF1 x){return clamp(x,AF1_(0.0),AF1_(1.0));}
748 AF2 ASatF2(AF2 x){return clamp(x,AF2_(0.0),AF2_(1.0));}
749 AF3 ASatF3(AF3 x){return clamp(x,AF3_(0.0),AF3_(1.0));}
750 AF4 ASatF4(AF4 x){return clamp(x,AF4_(0.0),AF4_(1.0));}
751//------------------------------------------------------------------------------------------------------------------------------
752 AU1 AShrSU1(AU1 a,AU1 b){return AU1(ASU1(a)>>ASU1(b));}
753 AU2 AShrSU2(AU2 a,AU2 b){return AU2(ASU2(a)>>ASU2(b));}
754 AU3 AShrSU3(AU3 a,AU3 b){return AU3(ASU3(a)>>ASU3(b));}
755 AU4 AShrSU4(AU4 a,AU4 b){return AU4(ASU4(a)>>ASU4(b));}
756////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
757////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
758//_____________________________________________________________/\_______________________________________________________________
759//==============================================================================================================================
760// GLSL BYTE
761//==============================================================================================================================
762 #ifdef A_BYTE
763 #define AB1 uint8_t
764 #define AB2 u8vec2
765 #define AB3 u8vec3
766 #define AB4 u8vec4
767//------------------------------------------------------------------------------------------------------------------------------
768 #define ASB1 int8_t
769 #define ASB2 i8vec2
770 #define ASB3 i8vec3
771 #define ASB4 i8vec4
772//------------------------------------------------------------------------------------------------------------------------------
773 AB1 AB1_x(AB1 a){return AB1(a);}
774 AB2 AB2_x(AB1 a){return AB2(a,a);}
775 AB3 AB3_x(AB1 a){return AB3(a,a,a);}
776 AB4 AB4_x(AB1 a){return AB4(a,a,a,a);}
777 #define AB1_(a) AB1_x(AB1(a))
778 #define AB2_(a) AB2_x(AB1(a))
779 #define AB3_(a) AB3_x(AB1(a))
780 #define AB4_(a) AB4_x(AB1(a))
781 #endif
782////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
783////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
784//_____________________________________________________________/\_______________________________________________________________
785//==============================================================================================================================
786// GLSL HALF
787//==============================================================================================================================
788 #ifdef A_HALF
789 #define AH1 float16_t
790 #define AH2 f16vec2
791 #define AH3 f16vec3
792 #define AH4 f16vec4
793//------------------------------------------------------------------------------------------------------------------------------
794 #define AW1 uint16_t
795 #define AW2 u16vec2
796 #define AW3 u16vec3
797 #define AW4 u16vec4
798//------------------------------------------------------------------------------------------------------------------------------
799 #define ASW1 int16_t
800 #define ASW2 i16vec2
801 #define ASW3 i16vec3
802 #define ASW4 i16vec4
803//==============================================================================================================================
804 #define AH2_AU1(x) unpackFloat2x16(AU1(x))
805 AH4 AH4_AU2_x(AU2 x){return AH4(unpackFloat2x16(x.x),unpackFloat2x16(x.y));}
806 #define AH4_AU2(x) AH4_AU2_x(AU2(x))
807 #define AW2_AU1(x) unpackUint2x16(AU1(x))
808 #define AW4_AU2(x) unpackUint4x16(pack64(AU2(x)))
809//------------------------------------------------------------------------------------------------------------------------------
810 #define AU1_AH2(x) packFloat2x16(AH2(x))
811 AU2 AU2_AH4_x(AH4 x){return AU2(packFloat2x16(x.xy),packFloat2x16(x.zw));}
812 #define AU2_AH4(x) AU2_AH4_x(AH4(x))
813 #define AU1_AW2(x) packUint2x16(AW2(x))
814 #define AU2_AW4(x) unpack32(packUint4x16(AW4(x)))
815//==============================================================================================================================
816 #define AW1_AH1(x) halfBitsToUint16(AH1(x))
817 #define AW2_AH2(x) halfBitsToUint16(AH2(x))
818 #define AW3_AH3(x) halfBitsToUint16(AH3(x))
819 #define AW4_AH4(x) halfBitsToUint16(AH4(x))
820//------------------------------------------------------------------------------------------------------------------------------
821 #define AH1_AW1(x) uint16BitsToHalf(AW1(x))
822 #define AH2_AW2(x) uint16BitsToHalf(AW2(x))
823 #define AH3_AW3(x) uint16BitsToHalf(AW3(x))
824 #define AH4_AW4(x) uint16BitsToHalf(AW4(x))
825//==============================================================================================================================
826 AH1 AH1_x(AH1 a){return AH1(a);}
827 AH2 AH2_x(AH1 a){return AH2(a,a);}
828 AH3 AH3_x(AH1 a){return AH3(a,a,a);}
829 AH4 AH4_x(AH1 a){return AH4(a,a,a,a);}
830 #define AH1_(a) AH1_x(AH1(a))
831 #define AH2_(a) AH2_x(AH1(a))
832 #define AH3_(a) AH3_x(AH1(a))
833 #define AH4_(a) AH4_x(AH1(a))
834//------------------------------------------------------------------------------------------------------------------------------
835 AW1 AW1_x(AW1 a){return AW1(a);}
836 AW2 AW2_x(AW1 a){return AW2(a,a);}
837 AW3 AW3_x(AW1 a){return AW3(a,a,a);}
838 AW4 AW4_x(AW1 a){return AW4(a,a,a,a);}
839 #define AW1_(a) AW1_x(AW1(a))
840 #define AW2_(a) AW2_x(AW1(a))
841 #define AW3_(a) AW3_x(AW1(a))
842 #define AW4_(a) AW4_x(AW1(a))
843//==============================================================================================================================
844 AW1 AAbsSW1(AW1 a){return AW1(abs(ASW1(a)));}
845 AW2 AAbsSW2(AW2 a){return AW2(abs(ASW2(a)));}
846 AW3 AAbsSW3(AW3 a){return AW3(abs(ASW3(a)));}
847 AW4 AAbsSW4(AW4 a){return AW4(abs(ASW4(a)));}
848//------------------------------------------------------------------------------------------------------------------------------
849 AH1 AClampH1(AH1 x,AH1 n,AH1 m){return clamp(x,n,m);}
850 AH2 AClampH2(AH2 x,AH2 n,AH2 m){return clamp(x,n,m);}
851 AH3 AClampH3(AH3 x,AH3 n,AH3 m){return clamp(x,n,m);}
852 AH4 AClampH4(AH4 x,AH4 n,AH4 m){return clamp(x,n,m);}
853//------------------------------------------------------------------------------------------------------------------------------
854 AH1 AFractH1(AH1 x){return fract(x);}
855 AH2 AFractH2(AH2 x){return fract(x);}
856 AH3 AFractH3(AH3 x){return fract(x);}
857 AH4 AFractH4(AH4 x){return fract(x);}
858//------------------------------------------------------------------------------------------------------------------------------
859 AH1 ALerpH1(AH1 x,AH1 y,AH1 a){return mix(x,y,a);}
860 AH2 ALerpH2(AH2 x,AH2 y,AH2 a){return mix(x,y,a);}
861 AH3 ALerpH3(AH3 x,AH3 y,AH3 a){return mix(x,y,a);}
862 AH4 ALerpH4(AH4 x,AH4 y,AH4 a){return mix(x,y,a);}
863//------------------------------------------------------------------------------------------------------------------------------
864 // No packed version of max3.
865 AH1 AMax3H1(AH1 x,AH1 y,AH1 z){return max(x,max(y,z));}
866 AH2 AMax3H2(AH2 x,AH2 y,AH2 z){return max(x,max(y,z));}
867 AH3 AMax3H3(AH3 x,AH3 y,AH3 z){return max(x,max(y,z));}
868 AH4 AMax3H4(AH4 x,AH4 y,AH4 z){return max(x,max(y,z));}
869//------------------------------------------------------------------------------------------------------------------------------
870 AW1 AMaxSW1(AW1 a,AW1 b){return AW1(max(ASU1(a),ASU1(b)));}
871 AW2 AMaxSW2(AW2 a,AW2 b){return AW2(max(ASU2(a),ASU2(b)));}
872 AW3 AMaxSW3(AW3 a,AW3 b){return AW3(max(ASU3(a),ASU3(b)));}
873 AW4 AMaxSW4(AW4 a,AW4 b){return AW4(max(ASU4(a),ASU4(b)));}
874//------------------------------------------------------------------------------------------------------------------------------
875 // No packed version of min3.
876 AH1 AMin3H1(AH1 x,AH1 y,AH1 z){return min(x,min(y,z));}
877 AH2 AMin3H2(AH2 x,AH2 y,AH2 z){return min(x,min(y,z));}
878 AH3 AMin3H3(AH3 x,AH3 y,AH3 z){return min(x,min(y,z));}
879 AH4 AMin3H4(AH4 x,AH4 y,AH4 z){return min(x,min(y,z));}
880//------------------------------------------------------------------------------------------------------------------------------
881 AW1 AMinSW1(AW1 a,AW1 b){return AW1(min(ASU1(a),ASU1(b)));}
882 AW2 AMinSW2(AW2 a,AW2 b){return AW2(min(ASU2(a),ASU2(b)));}
883 AW3 AMinSW3(AW3 a,AW3 b){return AW3(min(ASU3(a),ASU3(b)));}
884 AW4 AMinSW4(AW4 a,AW4 b){return AW4(min(ASU4(a),ASU4(b)));}
885//------------------------------------------------------------------------------------------------------------------------------
886 AH1 ARcpH1(AH1 x){return AH1_(1.0)/x;}
887 AH2 ARcpH2(AH2 x){return AH2_(1.0)/x;}
888 AH3 ARcpH3(AH3 x){return AH3_(1.0)/x;}
889 AH4 ARcpH4(AH4 x){return AH4_(1.0)/x;}
890//------------------------------------------------------------------------------------------------------------------------------
891 AH1 ARsqH1(AH1 x){return AH1_(1.0)/sqrt(x);}
892 AH2 ARsqH2(AH2 x){return AH2_(1.0)/sqrt(x);}
893 AH3 ARsqH3(AH3 x){return AH3_(1.0)/sqrt(x);}
894 AH4 ARsqH4(AH4 x){return AH4_(1.0)/sqrt(x);}
895//------------------------------------------------------------------------------------------------------------------------------
896 AH1 ASatH1(AH1 x){return clamp(x,AH1_(0.0),AH1_(1.0));}
897 AH2 ASatH2(AH2 x){return clamp(x,AH2_(0.0),AH2_(1.0));}
898 AH3 ASatH3(AH3 x){return clamp(x,AH3_(0.0),AH3_(1.0));}
899 AH4 ASatH4(AH4 x){return clamp(x,AH4_(0.0),AH4_(1.0));}
900//------------------------------------------------------------------------------------------------------------------------------
901 AW1 AShrSW1(AW1 a,AW1 b){return AW1(ASW1(a)>>ASW1(b));}
902 AW2 AShrSW2(AW2 a,AW2 b){return AW2(ASW2(a)>>ASW2(b));}
903 AW3 AShrSW3(AW3 a,AW3 b){return AW3(ASW3(a)>>ASW3(b));}
904 AW4 AShrSW4(AW4 a,AW4 b){return AW4(ASW4(a)>>ASW4(b));}
905 #endif
906////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
907////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
908//_____________________________________________________________/\_______________________________________________________________
909//==============================================================================================================================
910// GLSL DOUBLE
911//==============================================================================================================================
912 #ifdef A_DUBL
913 #define AD1 double
914 #define AD2 dvec2
915 #define AD3 dvec3
916 #define AD4 dvec4
917//------------------------------------------------------------------------------------------------------------------------------
918 AD1 AD1_x(AD1 a){return AD1(a);}
919 AD2 AD2_x(AD1 a){return AD2(a,a);}
920 AD3 AD3_x(AD1 a){return AD3(a,a,a);}
921 AD4 AD4_x(AD1 a){return AD4(a,a,a,a);}
922 #define AD1_(a) AD1_x(AD1(a))
923 #define AD2_(a) AD2_x(AD1(a))
924 #define AD3_(a) AD3_x(AD1(a))
925 #define AD4_(a) AD4_x(AD1(a))
926//==============================================================================================================================
927 AD1 AFractD1(AD1 x){return fract(x);}
928 AD2 AFractD2(AD2 x){return fract(x);}
929 AD3 AFractD3(AD3 x){return fract(x);}
930 AD4 AFractD4(AD4 x){return fract(x);}
931//------------------------------------------------------------------------------------------------------------------------------
932 AD1 ALerpD1(AD1 x,AD1 y,AD1 a){return mix(x,y,a);}
933 AD2 ALerpD2(AD2 x,AD2 y,AD2 a){return mix(x,y,a);}
934 AD3 ALerpD3(AD3 x,AD3 y,AD3 a){return mix(x,y,a);}
935 AD4 ALerpD4(AD4 x,AD4 y,AD4 a){return mix(x,y,a);}
936//------------------------------------------------------------------------------------------------------------------------------
937 AD1 ARcpD1(AD1 x){return AD1_(1.0)/x;}
938 AD2 ARcpD2(AD2 x){return AD2_(1.0)/x;}
939 AD3 ARcpD3(AD3 x){return AD3_(1.0)/x;}
940 AD4 ARcpD4(AD4 x){return AD4_(1.0)/x;}
941//------------------------------------------------------------------------------------------------------------------------------
942 AD1 ARsqD1(AD1 x){return AD1_(1.0)/sqrt(x);}
943 AD2 ARsqD2(AD2 x){return AD2_(1.0)/sqrt(x);}
944 AD3 ARsqD3(AD3 x){return AD3_(1.0)/sqrt(x);}
945 AD4 ARsqD4(AD4 x){return AD4_(1.0)/sqrt(x);}
946//------------------------------------------------------------------------------------------------------------------------------
947 AD1 ASatD1(AD1 x){return clamp(x,AD1_(0.0),AD1_(1.0));}
948 AD2 ASatD2(AD2 x){return clamp(x,AD2_(0.0),AD2_(1.0));}
949 AD3 ASatD3(AD3 x){return clamp(x,AD3_(0.0),AD3_(1.0));}
950 AD4 ASatD4(AD4 x){return clamp(x,AD4_(0.0),AD4_(1.0));}
951 #endif
952////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
953////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
954//_____________________________________________________________/\_______________________________________________________________
955//==============================================================================================================================
956// GLSL LONG
957//==============================================================================================================================
958 #ifdef A_LONG
959 #define AL1 uint64_t
960 #define AL2 u64vec2
961 #define AL3 u64vec3
962 #define AL4 u64vec4
963//------------------------------------------------------------------------------------------------------------------------------
964 #define ASL1 int64_t
965 #define ASL2 i64vec2
966 #define ASL3 i64vec3
967 #define ASL4 i64vec4
968//------------------------------------------------------------------------------------------------------------------------------
969 #define AL1_AU2(x) packUint2x32(AU2(x))
970 #define AU2_AL1(x) unpackUint2x32(AL1(x))
971//------------------------------------------------------------------------------------------------------------------------------
972 AL1 AL1_x(AL1 a){return AL1(a);}
973 AL2 AL2_x(AL1 a){return AL2(a,a);}
974 AL3 AL3_x(AL1 a){return AL3(a,a,a);}
975 AL4 AL4_x(AL1 a){return AL4(a,a,a,a);}
976 #define AL1_(a) AL1_x(AL1(a))
977 #define AL2_(a) AL2_x(AL1(a))
978 #define AL3_(a) AL3_x(AL1(a))
979 #define AL4_(a) AL4_x(AL1(a))
980//==============================================================================================================================
981 AL1 AAbsSL1(AL1 a){return AL1(abs(ASL1(a)));}
982 AL2 AAbsSL2(AL2 a){return AL2(abs(ASL2(a)));}
983 AL3 AAbsSL3(AL3 a){return AL3(abs(ASL3(a)));}
984 AL4 AAbsSL4(AL4 a){return AL4(abs(ASL4(a)));}
985//------------------------------------------------------------------------------------------------------------------------------
986 AL1 AMaxSL1(AL1 a,AL1 b){return AL1(max(ASU1(a),ASU1(b)));}
987 AL2 AMaxSL2(AL2 a,AL2 b){return AL2(max(ASU2(a),ASU2(b)));}
988 AL3 AMaxSL3(AL3 a,AL3 b){return AL3(max(ASU3(a),ASU3(b)));}
989 AL4 AMaxSL4(AL4 a,AL4 b){return AL4(max(ASU4(a),ASU4(b)));}
990//------------------------------------------------------------------------------------------------------------------------------
991 AL1 AMinSL1(AL1 a,AL1 b){return AL1(min(ASU1(a),ASU1(b)));}
992 AL2 AMinSL2(AL2 a,AL2 b){return AL2(min(ASU2(a),ASU2(b)));}
993 AL3 AMinSL3(AL3 a,AL3 b){return AL3(min(ASU3(a),ASU3(b)));}
994 AL4 AMinSL4(AL4 a,AL4 b){return AL4(min(ASU4(a),ASU4(b)));}
995 #endif
996////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
997////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
998//_____________________________________________________________/\_______________________________________________________________
999//==============================================================================================================================
1000// WAVE OPERATIONS
1001//==============================================================================================================================
1002 #ifdef A_WAVE
1003 // Where 'x' must be a compile time literal.
1004 AF1 AWaveXorF1(AF1 v,AU1 x){return subgroupShuffleXor(v,x);}
1005 AF2 AWaveXorF2(AF2 v,AU1 x){return subgroupShuffleXor(v,x);}
1006 AF3 AWaveXorF3(AF3 v,AU1 x){return subgroupShuffleXor(v,x);}
1007 AF4 AWaveXorF4(AF4 v,AU1 x){return subgroupShuffleXor(v,x);}
1008 AU1 AWaveXorU1(AU1 v,AU1 x){return subgroupShuffleXor(v,x);}
1009 AU2 AWaveXorU2(AU2 v,AU1 x){return subgroupShuffleXor(v,x);}
1010 AU3 AWaveXorU3(AU3 v,AU1 x){return subgroupShuffleXor(v,x);}
1011 AU4 AWaveXorU4(AU4 v,AU1 x){return subgroupShuffleXor(v,x);}
1012//------------------------------------------------------------------------------------------------------------------------------
1013 #ifdef A_HALF
1014 AH2 AWaveXorH2(AH2 v,AU1 x){return AH2_AU1(subgroupShuffleXor(AU1_AH2(v),x));}
1015 AH4 AWaveXorH4(AH4 v,AU1 x){return AH4_AU2(subgroupShuffleXor(AU2_AH4(v),x));}
1016 AW2 AWaveXorW2(AW2 v,AU1 x){return AW2_AU1(subgroupShuffleXor(AU1_AW2(v),x));}
1017 AW4 AWaveXorW4(AW4 v,AU1 x){return AW4_AU2(subgroupShuffleXor(AU2_AW4(v),x));}
1018 #endif
1019 #endif
1020//==============================================================================================================================
1021#endif
1022////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1023////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1024////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1025////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1026////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1027////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1028//_____________________________________________________________/\_______________________________________________________________
1029//==============================================================================================================================
1030//
1031//
1032// HLSL
1033//
1034//
1035//==============================================================================================================================
1036#if defined(A_HLSL) && defined(A_GPU)
1037 #ifdef A_HLSL_6_2
1038 #define AP1 bool
1039 #define AP2 bool2
1040 #define AP3 bool3
1041 #define AP4 bool4
1042//------------------------------------------------------------------------------------------------------------------------------
1043 #define AF1 float32_t
1044 #define AF2 float32_t2
1045 #define AF3 float32_t3
1046 #define AF4 float32_t4
1047//------------------------------------------------------------------------------------------------------------------------------
1048 #define AU1 uint32_t
1049 #define AU2 uint32_t2
1050 #define AU3 uint32_t3
1051 #define AU4 uint32_t4
1052//------------------------------------------------------------------------------------------------------------------------------
1053 #define ASU1 int32_t
1054 #define ASU2 int32_t2
1055 #define ASU3 int32_t3
1056 #define ASU4 int32_t4
1057 #else
1058 #define AP1 bool
1059 #define AP2 bool2
1060 #define AP3 bool3
1061 #define AP4 bool4
1062//------------------------------------------------------------------------------------------------------------------------------
1063 #define AF1 float
1064 #define AF2 float2
1065 #define AF3 float3
1066 #define AF4 float4
1067//------------------------------------------------------------------------------------------------------------------------------
1068 #define AU1 uint
1069 #define AU2 uint2
1070 #define AU3 uint3
1071 #define AU4 uint4
1072//------------------------------------------------------------------------------------------------------------------------------
1073 #define ASU1 int
1074 #define ASU2 int2
1075 #define ASU3 int3
1076 #define ASU4 int4
1077 #endif
1078//==============================================================================================================================
1079 #define AF1_AU1(x) asfloat(AU1(x))
1080 #define AF2_AU2(x) asfloat(AU2(x))
1081 #define AF3_AU3(x) asfloat(AU3(x))
1082 #define AF4_AU4(x) asfloat(AU4(x))
1083//------------------------------------------------------------------------------------------------------------------------------
1084 #define AU1_AF1(x) asuint(AF1(x))
1085 #define AU2_AF2(x) asuint(AF2(x))
1086 #define AU3_AF3(x) asuint(AF3(x))
1087 #define AU4_AF4(x) asuint(AF4(x))
1088//------------------------------------------------------------------------------------------------------------------------------
1089 AU1 AU1_AH1_AF1_x(AF1 a){return f32tof16(a);}
1090 #define AU1_AH1_AF1(a) AU1_AH1_AF1_x(AF1(a))
1091//------------------------------------------------------------------------------------------------------------------------------
1092 AU1 AU1_AH2_AF2_x(AF2 a){return f32tof16(a.x)|(f32tof16(a.y)<<16);}
1093 #define AU1_AH2_AF2(a) AU1_AH2_AF2_x(AF2(a))
1094 #define AU1_AB4Unorm_AF4(x) D3DCOLORtoUBYTE4(AF4(x))
1095//------------------------------------------------------------------------------------------------------------------------------
1096 AF2 AF2_AH2_AU1_x(AU1 x){return AF2(f16tof32(x&0xFFFF),f16tof32(x>>16));}
1097 #define AF2_AH2_AU1(x) AF2_AH2_AU1_x(AU1(x))
1098//==============================================================================================================================
1099 AF1 AF1_x(AF1 a){return AF1(a);}
1100 AF2 AF2_x(AF1 a){return AF2(a,a);}
1101 AF3 AF3_x(AF1 a){return AF3(a,a,a);}
1102 AF4 AF4_x(AF1 a){return AF4(a,a,a,a);}
1103 #define AF1_(a) AF1_x(AF1(a))
1104 #define AF2_(a) AF2_x(AF1(a))
1105 #define AF3_(a) AF3_x(AF1(a))
1106 #define AF4_(a) AF4_x(AF1(a))
1107//------------------------------------------------------------------------------------------------------------------------------
1108 AU1 AU1_x(AU1 a){return AU1(a);}
1109 AU2 AU2_x(AU1 a){return AU2(a,a);}
1110 AU3 AU3_x(AU1 a){return AU3(a,a,a);}
1111 AU4 AU4_x(AU1 a){return AU4(a,a,a,a);}
1112 #define AU1_(a) AU1_x(AU1(a))
1113 #define AU2_(a) AU2_x(AU1(a))
1114 #define AU3_(a) AU3_x(AU1(a))
1115 #define AU4_(a) AU4_x(AU1(a))
1116//==============================================================================================================================
1117 AU1 AAbsSU1(AU1 a){return AU1(abs(ASU1(a)));}
1118 AU2 AAbsSU2(AU2 a){return AU2(abs(ASU2(a)));}
1119 AU3 AAbsSU3(AU3 a){return AU3(abs(ASU3(a)));}
1120 AU4 AAbsSU4(AU4 a){return AU4(abs(ASU4(a)));}
1121//------------------------------------------------------------------------------------------------------------------------------
1122 AU1 ABfe(AU1 src,AU1 off,AU1 bits){AU1 mask=(1u<<bits)-1;return (src>>off)&mask;}
1123 AU1 ABfi(AU1 src,AU1 ins,AU1 mask){return (ins&mask)|(src&(~mask));}
1124 AU1 ABfiM(AU1 src,AU1 ins,AU1 bits){AU1 mask=(1u<<bits)-1;return (ins&mask)|(src&(~mask));}
1125//------------------------------------------------------------------------------------------------------------------------------
1126 AF1 AClampF1(AF1 x,AF1 n,AF1 m){return max(n,min(x,m));}
1127 AF2 AClampF2(AF2 x,AF2 n,AF2 m){return max(n,min(x,m));}
1128 AF3 AClampF3(AF3 x,AF3 n,AF3 m){return max(n,min(x,m));}
1129 AF4 AClampF4(AF4 x,AF4 n,AF4 m){return max(n,min(x,m));}
1130//------------------------------------------------------------------------------------------------------------------------------
1131 AF1 AFractF1(AF1 x){return x-floor(x);}
1132 AF2 AFractF2(AF2 x){return x-floor(x);}
1133 AF3 AFractF3(AF3 x){return x-floor(x);}
1134 AF4 AFractF4(AF4 x){return x-floor(x);}
1135//------------------------------------------------------------------------------------------------------------------------------
1136 AF1 ALerpF1(AF1 x,AF1 y,AF1 a){return lerp(x,y,a);}
1137 AF2 ALerpF2(AF2 x,AF2 y,AF2 a){return lerp(x,y,a);}
1138 AF3 ALerpF3(AF3 x,AF3 y,AF3 a){return lerp(x,y,a);}
1139 AF4 ALerpF4(AF4 x,AF4 y,AF4 a){return lerp(x,y,a);}
1140//------------------------------------------------------------------------------------------------------------------------------
1141 AF1 AMax3F1(AF1 x,AF1 y,AF1 z){return max(x,max(y,z));}
1142 AF2 AMax3F2(AF2 x,AF2 y,AF2 z){return max(x,max(y,z));}
1143 AF3 AMax3F3(AF3 x,AF3 y,AF3 z){return max(x,max(y,z));}
1144 AF4 AMax3F4(AF4 x,AF4 y,AF4 z){return max(x,max(y,z));}
1145//------------------------------------------------------------------------------------------------------------------------------
1146 AU1 AMax3SU1(AU1 x,AU1 y,AU1 z){return AU1(max(ASU1(x),max(ASU1(y),ASU1(z))));}
1147 AU2 AMax3SU2(AU2 x,AU2 y,AU2 z){return AU2(max(ASU2(x),max(ASU2(y),ASU2(z))));}
1148 AU3 AMax3SU3(AU3 x,AU3 y,AU3 z){return AU3(max(ASU3(x),max(ASU3(y),ASU3(z))));}
1149 AU4 AMax3SU4(AU4 x,AU4 y,AU4 z){return AU4(max(ASU4(x),max(ASU4(y),ASU4(z))));}
1150//------------------------------------------------------------------------------------------------------------------------------
1151 AU1 AMax3U1(AU1 x,AU1 y,AU1 z){return max(x,max(y,z));}
1152 AU2 AMax3U2(AU2 x,AU2 y,AU2 z){return max(x,max(y,z));}
1153 AU3 AMax3U3(AU3 x,AU3 y,AU3 z){return max(x,max(y,z));}
1154 AU4 AMax3U4(AU4 x,AU4 y,AU4 z){return max(x,max(y,z));}
1155//------------------------------------------------------------------------------------------------------------------------------
1156 AU1 AMaxSU1(AU1 a,AU1 b){return AU1(max(ASU1(a),ASU1(b)));}
1157 AU2 AMaxSU2(AU2 a,AU2 b){return AU2(max(ASU2(a),ASU2(b)));}
1158 AU3 AMaxSU3(AU3 a,AU3 b){return AU3(max(ASU3(a),ASU3(b)));}
1159 AU4 AMaxSU4(AU4 a,AU4 b){return AU4(max(ASU4(a),ASU4(b)));}
1160//------------------------------------------------------------------------------------------------------------------------------
1161 AF1 AMed3F1(AF1 x,AF1 y,AF1 z){return max(min(x,y),min(max(x,y),z));}
1162 AF2 AMed3F2(AF2 x,AF2 y,AF2 z){return max(min(x,y),min(max(x,y),z));}
1163 AF3 AMed3F3(AF3 x,AF3 y,AF3 z){return max(min(x,y),min(max(x,y),z));}
1164 AF4 AMed3F4(AF4 x,AF4 y,AF4 z){return max(min(x,y),min(max(x,y),z));}
1165//------------------------------------------------------------------------------------------------------------------------------
1166 AF1 AMin3F1(AF1 x,AF1 y,AF1 z){return min(x,min(y,z));}
1167 AF2 AMin3F2(AF2 x,AF2 y,AF2 z){return min(x,min(y,z));}
1168 AF3 AMin3F3(AF3 x,AF3 y,AF3 z){return min(x,min(y,z));}
1169 AF4 AMin3F4(AF4 x,AF4 y,AF4 z){return min(x,min(y,z));}
1170//------------------------------------------------------------------------------------------------------------------------------
1171 AU1 AMin3SU1(AU1 x,AU1 y,AU1 z){return AU1(min(ASU1(x),min(ASU1(y),ASU1(z))));}
1172 AU2 AMin3SU2(AU2 x,AU2 y,AU2 z){return AU2(min(ASU2(x),min(ASU2(y),ASU2(z))));}
1173 AU3 AMin3SU3(AU3 x,AU3 y,AU3 z){return AU3(min(ASU3(x),min(ASU3(y),ASU3(z))));}
1174 AU4 AMin3SU4(AU4 x,AU4 y,AU4 z){return AU4(min(ASU4(x),min(ASU4(y),ASU4(z))));}
1175//------------------------------------------------------------------------------------------------------------------------------
1176 AU1 AMin3U1(AU1 x,AU1 y,AU1 z){return min(x,min(y,z));}
1177 AU2 AMin3U2(AU2 x,AU2 y,AU2 z){return min(x,min(y,z));}
1178 AU3 AMin3U3(AU3 x,AU3 y,AU3 z){return min(x,min(y,z));}
1179 AU4 AMin3U4(AU4 x,AU4 y,AU4 z){return min(x,min(y,z));}
1180//------------------------------------------------------------------------------------------------------------------------------
1181 AU1 AMinSU1(AU1 a,AU1 b){return AU1(min(ASU1(a),ASU1(b)));}
1182 AU2 AMinSU2(AU2 a,AU2 b){return AU2(min(ASU2(a),ASU2(b)));}
1183 AU3 AMinSU3(AU3 a,AU3 b){return AU3(min(ASU3(a),ASU3(b)));}
1184 AU4 AMinSU4(AU4 a,AU4 b){return AU4(min(ASU4(a),ASU4(b)));}
1185//------------------------------------------------------------------------------------------------------------------------------
1186 AF1 ANCosF1(AF1 x){return cos(x*AF1_(A_2PI));}
1187 AF2 ANCosF2(AF2 x){return cos(x*AF2_(A_2PI));}
1188 AF3 ANCosF3(AF3 x){return cos(x*AF3_(A_2PI));}
1189 AF4 ANCosF4(AF4 x){return cos(x*AF4_(A_2PI));}
1190//------------------------------------------------------------------------------------------------------------------------------
1191 AF1 ANSinF1(AF1 x){return sin(x*AF1_(A_2PI));}
1192 AF2 ANSinF2(AF2 x){return sin(x*AF2_(A_2PI));}
1193 AF3 ANSinF3(AF3 x){return sin(x*AF3_(A_2PI));}
1194 AF4 ANSinF4(AF4 x){return sin(x*AF4_(A_2PI));}
1195//------------------------------------------------------------------------------------------------------------------------------
1196 AF1 ARcpF1(AF1 x){return rcp(x);}
1197 AF2 ARcpF2(AF2 x){return rcp(x);}
1198 AF3 ARcpF3(AF3 x){return rcp(x);}
1199 AF4 ARcpF4(AF4 x){return rcp(x);}
1200//------------------------------------------------------------------------------------------------------------------------------
1201 AF1 ARsqF1(AF1 x){return rsqrt(x);}
1202 AF2 ARsqF2(AF2 x){return rsqrt(x);}
1203 AF3 ARsqF3(AF3 x){return rsqrt(x);}
1204 AF4 ARsqF4(AF4 x){return rsqrt(x);}
1205//------------------------------------------------------------------------------------------------------------------------------
1206 AF1 ASatF1(AF1 x){return saturate(x);}
1207 AF2 ASatF2(AF2 x){return saturate(x);}
1208 AF3 ASatF3(AF3 x){return saturate(x);}
1209 AF4 ASatF4(AF4 x){return saturate(x);}
1210//------------------------------------------------------------------------------------------------------------------------------
1211 AU1 AShrSU1(AU1 a,AU1 b){return AU1(ASU1(a)>>ASU1(b));}
1212 AU2 AShrSU2(AU2 a,AU2 b){return AU2(ASU2(a)>>ASU2(b));}
1213 AU3 AShrSU3(AU3 a,AU3 b){return AU3(ASU3(a)>>ASU3(b));}
1214 AU4 AShrSU4(AU4 a,AU4 b){return AU4(ASU4(a)>>ASU4(b));}
1215////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1216////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1217//_____________________________________________________________/\_______________________________________________________________
1218//==============================================================================================================================
1219// HLSL BYTE
1220//==============================================================================================================================
1221 #ifdef A_BYTE
1222 #endif
1223////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1224////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1225//_____________________________________________________________/\_______________________________________________________________
1226//==============================================================================================================================
1227// HLSL HALF
1228//==============================================================================================================================
1229 #ifdef A_HALF
1230 #ifdef A_HLSL_6_2
1231 #define AH1 float16_t
1232 #define AH2 float16_t2
1233 #define AH3 float16_t3
1234 #define AH4 float16_t4
1235//------------------------------------------------------------------------------------------------------------------------------
1236 #define AW1 uint16_t
1237 #define AW2 uint16_t2
1238 #define AW3 uint16_t3
1239 #define AW4 uint16_t4
1240//------------------------------------------------------------------------------------------------------------------------------
1241 #define ASW1 int16_t
1242 #define ASW2 int16_t2
1243 #define ASW3 int16_t3
1244 #define ASW4 int16_t4
1245 #else
1246 #define AH1 min16float
1247 #define AH2 min16float2
1248 #define AH3 min16float3
1249 #define AH4 min16float4
1250//------------------------------------------------------------------------------------------------------------------------------
1251 #define AW1 min16uint
1252 #define AW2 min16uint2
1253 #define AW3 min16uint3
1254 #define AW4 min16uint4
1255//------------------------------------------------------------------------------------------------------------------------------
1256 #define ASW1 min16int
1257 #define ASW2 min16int2
1258 #define ASW3 min16int3
1259 #define ASW4 min16int4
1260 #endif
1261//==============================================================================================================================
1262 // Need to use manual unpack to get optimal execution (don't use packed types in buffers directly).
1263 // Unpack requires this pattern: https://gpuopen.com/first-steps-implementing-fp16/
1264 AH2 AH2_AU1_x(AU1 x){AF2 t=f16tof32(AU2(x&0xFFFF,x>>16));return AH2(t);}
1265 AH4 AH4_AU2_x(AU2 x){return AH4(AH2_AU1_x(x.x),AH2_AU1_x(x.y));}
1266 AW2 AW2_AU1_x(AU1 x){AU2 t=AU2(x&0xFFFF,x>>16);return AW2(t);}
1267 AW4 AW4_AU2_x(AU2 x){return AW4(AW2_AU1_x(x.x),AW2_AU1_x(x.y));}
1268 #define AH2_AU1(x) AH2_AU1_x(AU1(x))
1269 #define AH4_AU2(x) AH4_AU2_x(AU2(x))
1270 #define AW2_AU1(x) AW2_AU1_x(AU1(x))
1271 #define AW4_AU2(x) AW4_AU2_x(AU2(x))
1272//------------------------------------------------------------------------------------------------------------------------------
1273 AU1 AU1_AH2_x(AH2 x){return f32tof16(x.x)+(f32tof16(x.y)<<16);}
1274 AU2 AU2_AH4_x(AH4 x){return AU2(AU1_AH2_x(x.xy),AU1_AH2_x(x.zw));}
1275 AU1 AU1_AW2_x(AW2 x){return AU1(x.x)+(AU1(x.y)<<16);}
1276 AU2 AU2_AW4_x(AW4 x){return AU2(AU1_AW2_x(x.xy),AU1_AW2_x(x.zw));}
1277 #define AU1_AH2(x) AU1_AH2_x(AH2(x))
1278 #define AU2_AH4(x) AU2_AH4_x(AH4(x))
1279 #define AU1_AW2(x) AU1_AW2_x(AW2(x))
1280 #define AU2_AW4(x) AU2_AW4_x(AW4(x))
1281//==============================================================================================================================
1282 #if defined(A_HLSL_6_2) && !defined(A_NO_16_BIT_CAST)
1283 #define AW1_AH1(x) asuint16(x)
1284 #define AW2_AH2(x) asuint16(x)
1285 #define AW3_AH3(x) asuint16(x)
1286 #define AW4_AH4(x) asuint16(x)
1287 #else
1288 #define AW1_AH1(a) AW1(f32tof16(AF1(a)))
1289 #define AW2_AH2(a) AW2(AW1_AH1((a).x),AW1_AH1((a).y))
1290 #define AW3_AH3(a) AW3(AW1_AH1((a).x),AW1_AH1((a).y),AW1_AH1((a).z))
1291 #define AW4_AH4(a) AW4(AW1_AH1((a).x),AW1_AH1((a).y),AW1_AH1((a).z),AW1_AH1((a).w))
1292 #endif
1293//------------------------------------------------------------------------------------------------------------------------------
1294 #if defined(A_HLSL_6_2) && !defined(A_NO_16_BIT_CAST)
1295 #define AH1_AW1(x) asfloat16(x)
1296 #define AH2_AW2(x) asfloat16(x)
1297 #define AH3_AW3(x) asfloat16(x)
1298 #define AH4_AW4(x) asfloat16(x)
1299 #else
1300 #define AH1_AW1(a) AH1(f16tof32(AU1(a)))
1301 #define AH2_AW2(a) AH2(AH1_AW1((a).x),AH1_AW1((a).y))
1302 #define AH3_AW3(a) AH3(AH1_AW1((a).x),AH1_AW1((a).y),AH1_AW1((a).z))
1303 #define AH4_AW4(a) AH4(AH1_AW1((a).x),AH1_AW1((a).y),AH1_AW1((a).z),AH1_AW1((a).w))
1304 #endif
1305//==============================================================================================================================
1306 AH1 AH1_x(AH1 a){return AH1(a);}
1307 AH2 AH2_x(AH1 a){return AH2(a,a);}
1308 AH3 AH3_x(AH1 a){return AH3(a,a,a);}
1309 AH4 AH4_x(AH1 a){return AH4(a,a,a,a);}
1310 #define AH1_(a) AH1_x(AH1(a))
1311 #define AH2_(a) AH2_x(AH1(a))
1312 #define AH3_(a) AH3_x(AH1(a))
1313 #define AH4_(a) AH4_x(AH1(a))
1314//------------------------------------------------------------------------------------------------------------------------------
1315 AW1 AW1_x(AW1 a){return AW1(a);}
1316 AW2 AW2_x(AW1 a){return AW2(a,a);}
1317 AW3 AW3_x(AW1 a){return AW3(a,a,a);}
1318 AW4 AW4_x(AW1 a){return AW4(a,a,a,a);}
1319 #define AW1_(a) AW1_x(AW1(a))
1320 #define AW2_(a) AW2_x(AW1(a))
1321 #define AW3_(a) AW3_x(AW1(a))
1322 #define AW4_(a) AW4_x(AW1(a))
1323//==============================================================================================================================
1324 AW1 AAbsSW1(AW1 a){return AW1(abs(ASW1(a)));}
1325 AW2 AAbsSW2(AW2 a){return AW2(abs(ASW2(a)));}
1326 AW3 AAbsSW3(AW3 a){return AW3(abs(ASW3(a)));}
1327 AW4 AAbsSW4(AW4 a){return AW4(abs(ASW4(a)));}
1328//------------------------------------------------------------------------------------------------------------------------------
1329 AH1 AClampH1(AH1 x,AH1 n,AH1 m){return max(n,min(x,m));}
1330 AH2 AClampH2(AH2 x,AH2 n,AH2 m){return max(n,min(x,m));}
1331 AH3 AClampH3(AH3 x,AH3 n,AH3 m){return max(n,min(x,m));}
1332 AH4 AClampH4(AH4 x,AH4 n,AH4 m){return max(n,min(x,m));}
1333//------------------------------------------------------------------------------------------------------------------------------
1334 // V_FRACT_F16 (note DX frac() is different).
1335 AH1 AFractH1(AH1 x){return x-floor(x);}
1336 AH2 AFractH2(AH2 x){return x-floor(x);}
1337 AH3 AFractH3(AH3 x){return x-floor(x);}
1338 AH4 AFractH4(AH4 x){return x-floor(x);}
1339//------------------------------------------------------------------------------------------------------------------------------
1340 AH1 ALerpH1(AH1 x,AH1 y,AH1 a){return lerp(x,y,a);}
1341 AH2 ALerpH2(AH2 x,AH2 y,AH2 a){return lerp(x,y,a);}
1342 AH3 ALerpH3(AH3 x,AH3 y,AH3 a){return lerp(x,y,a);}
1343 AH4 ALerpH4(AH4 x,AH4 y,AH4 a){return lerp(x,y,a);}
1344//------------------------------------------------------------------------------------------------------------------------------
1345 AH1 AMax3H1(AH1 x,AH1 y,AH1 z){return max(x,max(y,z));}
1346 AH2 AMax3H2(AH2 x,AH2 y,AH2 z){return max(x,max(y,z));}
1347 AH3 AMax3H3(AH3 x,AH3 y,AH3 z){return max(x,max(y,z));}
1348 AH4 AMax3H4(AH4 x,AH4 y,AH4 z){return max(x,max(y,z));}
1349//------------------------------------------------------------------------------------------------------------------------------
1350 AW1 AMaxSW1(AW1 a,AW1 b){return AW1(max(ASU1(a),ASU1(b)));}
1351 AW2 AMaxSW2(AW2 a,AW2 b){return AW2(max(ASU2(a),ASU2(b)));}
1352 AW3 AMaxSW3(AW3 a,AW3 b){return AW3(max(ASU3(a),ASU3(b)));}
1353 AW4 AMaxSW4(AW4 a,AW4 b){return AW4(max(ASU4(a),ASU4(b)));}
1354//------------------------------------------------------------------------------------------------------------------------------
1355 AH1 AMin3H1(AH1 x,AH1 y,AH1 z){return min(x,min(y,z));}
1356 AH2 AMin3H2(AH2 x,AH2 y,AH2 z){return min(x,min(y,z));}
1357 AH3 AMin3H3(AH3 x,AH3 y,AH3 z){return min(x,min(y,z));}
1358 AH4 AMin3H4(AH4 x,AH4 y,AH4 z){return min(x,min(y,z));}
1359//------------------------------------------------------------------------------------------------------------------------------
1360 AW1 AMinSW1(AW1 a,AW1 b){return AW1(min(ASU1(a),ASU1(b)));}
1361 AW2 AMinSW2(AW2 a,AW2 b){return AW2(min(ASU2(a),ASU2(b)));}
1362 AW3 AMinSW3(AW3 a,AW3 b){return AW3(min(ASU3(a),ASU3(b)));}
1363 AW4 AMinSW4(AW4 a,AW4 b){return AW4(min(ASU4(a),ASU4(b)));}
1364//------------------------------------------------------------------------------------------------------------------------------
1365 AH1 ARcpH1(AH1 x){return rcp(x);}
1366 AH2 ARcpH2(AH2 x){return rcp(x);}
1367 AH3 ARcpH3(AH3 x){return rcp(x);}
1368 AH4 ARcpH4(AH4 x){return rcp(x);}
1369//------------------------------------------------------------------------------------------------------------------------------
1370 AH1 ARsqH1(AH1 x){return rsqrt(x);}
1371 AH2 ARsqH2(AH2 x){return rsqrt(x);}
1372 AH3 ARsqH3(AH3 x){return rsqrt(x);}
1373 AH4 ARsqH4(AH4 x){return rsqrt(x);}
1374//------------------------------------------------------------------------------------------------------------------------------
1375 AH1 ASatH1(AH1 x){return saturate(x);}
1376 AH2 ASatH2(AH2 x){return saturate(x);}
1377 AH3 ASatH3(AH3 x){return saturate(x);}
1378 AH4 ASatH4(AH4 x){return saturate(x);}
1379//------------------------------------------------------------------------------------------------------------------------------
1380 AW1 AShrSW1(AW1 a,AW1 b){return AW1(ASW1(a)>>ASW1(b));}
1381 AW2 AShrSW2(AW2 a,AW2 b){return AW2(ASW2(a)>>ASW2(b));}
1382 AW3 AShrSW3(AW3 a,AW3 b){return AW3(ASW3(a)>>ASW3(b));}
1383 AW4 AShrSW4(AW4 a,AW4 b){return AW4(ASW4(a)>>ASW4(b));}
1384 #endif
1385////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1386////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1387//_____________________________________________________________/\_______________________________________________________________
1388//==============================================================================================================================
1389// HLSL DOUBLE
1390//==============================================================================================================================
1391 #ifdef A_DUBL
1392 #ifdef A_HLSL_6_2
1393 #define AD1 float64_t
1394 #define AD2 float64_t2
1395 #define AD3 float64_t3
1396 #define AD4 float64_t4
1397 #else
1398 #define AD1 double
1399 #define AD2 double2
1400 #define AD3 double3
1401 #define AD4 double4
1402 #endif
1403//------------------------------------------------------------------------------------------------------------------------------
1404 AD1 AD1_x(AD1 a){return AD1(a);}
1405 AD2 AD2_x(AD1 a){return AD2(a,a);}
1406 AD3 AD3_x(AD1 a){return AD3(a,a,a);}
1407 AD4 AD4_x(AD1 a){return AD4(a,a,a,a);}
1408 #define AD1_(a) AD1_x(AD1(a))
1409 #define AD2_(a) AD2_x(AD1(a))
1410 #define AD3_(a) AD3_x(AD1(a))
1411 #define AD4_(a) AD4_x(AD1(a))
1412//==============================================================================================================================
1413 AD1 AFractD1(AD1 a){return a-floor(a);}
1414 AD2 AFractD2(AD2 a){return a-floor(a);}
1415 AD3 AFractD3(AD3 a){return a-floor(a);}
1416 AD4 AFractD4(AD4 a){return a-floor(a);}
1417//------------------------------------------------------------------------------------------------------------------------------
1418 AD1 ALerpD1(AD1 x,AD1 y,AD1 a){return lerp(x,y,a);}
1419 AD2 ALerpD2(AD2 x,AD2 y,AD2 a){return lerp(x,y,a);}
1420 AD3 ALerpD3(AD3 x,AD3 y,AD3 a){return lerp(x,y,a);}
1421 AD4 ALerpD4(AD4 x,AD4 y,AD4 a){return lerp(x,y,a);}
1422//------------------------------------------------------------------------------------------------------------------------------
1423 AD1 ARcpD1(AD1 x){return rcp(x);}
1424 AD2 ARcpD2(AD2 x){return rcp(x);}
1425 AD3 ARcpD3(AD3 x){return rcp(x);}
1426 AD4 ARcpD4(AD4 x){return rcp(x);}
1427//------------------------------------------------------------------------------------------------------------------------------
1428 AD1 ARsqD1(AD1 x){return rsqrt(x);}
1429 AD2 ARsqD2(AD2 x){return rsqrt(x);}
1430 AD3 ARsqD3(AD3 x){return rsqrt(x);}
1431 AD4 ARsqD4(AD4 x){return rsqrt(x);}
1432//------------------------------------------------------------------------------------------------------------------------------
1433 AD1 ASatD1(AD1 x){return saturate(x);}
1434 AD2 ASatD2(AD2 x){return saturate(x);}
1435 AD3 ASatD3(AD3 x){return saturate(x);}
1436 AD4 ASatD4(AD4 x){return saturate(x);}
1437 #endif
1438//==============================================================================================================================
1439// HLSL WAVE
1440//==============================================================================================================================
1441 #ifdef A_WAVE
1442 // Where 'x' must be a compile time literal.
1443 AF1 AWaveXorF1(AF1 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1444 AF2 AWaveXorF2(AF2 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1445 AF3 AWaveXorF3(AF3 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1446 AF4 AWaveXorF4(AF4 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1447 AU1 AWaveXorU1(AU1 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1448 AU2 AWaveXorU1(AU2 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1449 AU3 AWaveXorU1(AU3 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1450 AU4 AWaveXorU1(AU4 v,AU1 x){return WaveReadLaneAt(v,WaveGetLaneIndex()^x);}
1451//------------------------------------------------------------------------------------------------------------------------------
1452 #ifdef A_HALF
1453 AH2 AWaveXorH2(AH2 v,AU1 x){return AH2_AU1(WaveReadLaneAt(AU1_AH2(v),WaveGetLaneIndex()^x));}
1454 AH4 AWaveXorH4(AH4 v,AU1 x){return AH4_AU2(WaveReadLaneAt(AU2_AH4(v),WaveGetLaneIndex()^x));}
1455 AW2 AWaveXorW2(AW2 v,AU1 x){return AW2_AU1(WaveReadLaneAt(AU1_AW2(v),WaveGetLaneIndex()^x));}
1456 AW4 AWaveXorW4(AW4 v,AU1 x){return AW4_AU1(WaveReadLaneAt(AU1_AW4(v),WaveGetLaneIndex()^x));}
1457 #endif
1458 #endif
1459//==============================================================================================================================
1460#endif
1461////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1462////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1463////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1464////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1465////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1466////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1467//_____________________________________________________________/\_______________________________________________________________
1468//==============================================================================================================================
1469//
1470//
1471// GPU COMMON
1472//
1473//
1474//==============================================================================================================================
1475#ifdef A_GPU
1476 // Negative and positive infinity.
1477 #define A_INFP_F AF1_AU1(0x7f800000u)
1478 #define A_INFN_F AF1_AU1(0xff800000u)
1479//------------------------------------------------------------------------------------------------------------------------------
1480 // Copy sign from 's' to positive 'd'.
1481 AF1 ACpySgnF1(AF1 d,AF1 s){return AF1_AU1(AU1_AF1(d)|(AU1_AF1(s)&AU1_(0x80000000u)));}
1482 AF2 ACpySgnF2(AF2 d,AF2 s){return AF2_AU2(AU2_AF2(d)|(AU2_AF2(s)&AU2_(0x80000000u)));}
1483 AF3 ACpySgnF3(AF3 d,AF3 s){return AF3_AU3(AU3_AF3(d)|(AU3_AF3(s)&AU3_(0x80000000u)));}
1484 AF4 ACpySgnF4(AF4 d,AF4 s){return AF4_AU4(AU4_AF4(d)|(AU4_AF4(s)&AU4_(0x80000000u)));}
1485//------------------------------------------------------------------------------------------------------------------------------
1486 // Single operation to return (useful to create a mask to use in lerp for branch free logic),
1487 // m=NaN := 0
1488 // m>=0 := 0
1489 // m<0 := 1
1490 // Uses the following useful floating point logic,
1491 // saturate(+a*(-INF)==-INF) := 0
1492 // saturate( 0*(-INF)== NaN) := 0
1493 // saturate(-a*(-INF)==+INF) := 1
1494 AF1 ASignedF1(AF1 m){return ASatF1(m*AF1_(A_INFN_F));}
1495 AF2 ASignedF2(AF2 m){return ASatF2(m*AF2_(A_INFN_F));}
1496 AF3 ASignedF3(AF3 m){return ASatF3(m*AF3_(A_INFN_F));}
1497 AF4 ASignedF4(AF4 m){return ASatF4(m*AF4_(A_INFN_F));}
1498//------------------------------------------------------------------------------------------------------------------------------
1499 AF1 AGtZeroF1(AF1 m){return ASatF1(m*AF1_(A_INFP_F));}
1500 AF2 AGtZeroF2(AF2 m){return ASatF2(m*AF2_(A_INFP_F));}
1501 AF3 AGtZeroF3(AF3 m){return ASatF3(m*AF3_(A_INFP_F));}
1502 AF4 AGtZeroF4(AF4 m){return ASatF4(m*AF4_(A_INFP_F));}
1503//==============================================================================================================================
1504 #ifdef A_HALF
1505 #ifdef A_HLSL_6_2
1506 #define A_INFP_H AH1_AW1((uint16_t)0x7c00u)
1507 #define A_INFN_H AH1_AW1((uint16_t)0xfc00u)
1508 #else
1509 #define A_INFP_H AH1_AW1(0x7c00u)
1510 #define A_INFN_H AH1_AW1(0xfc00u)
1511 #endif
1512
1513//------------------------------------------------------------------------------------------------------------------------------
1514 AH1 ACpySgnH1(AH1 d,AH1 s){return AH1_AW1(AW1_AH1(d)|(AW1_AH1(s)&AW1_(0x8000u)));}
1515 AH2 ACpySgnH2(AH2 d,AH2 s){return AH2_AW2(AW2_AH2(d)|(AW2_AH2(s)&AW2_(0x8000u)));}
1516 AH3 ACpySgnH3(AH3 d,AH3 s){return AH3_AW3(AW3_AH3(d)|(AW3_AH3(s)&AW3_(0x8000u)));}
1517 AH4 ACpySgnH4(AH4 d,AH4 s){return AH4_AW4(AW4_AH4(d)|(AW4_AH4(s)&AW4_(0x8000u)));}
1518//------------------------------------------------------------------------------------------------------------------------------
1519 AH1 ASignedH1(AH1 m){return ASatH1(m*AH1_(A_INFN_H));}
1520 AH2 ASignedH2(AH2 m){return ASatH2(m*AH2_(A_INFN_H));}
1521 AH3 ASignedH3(AH3 m){return ASatH3(m*AH3_(A_INFN_H));}
1522 AH4 ASignedH4(AH4 m){return ASatH4(m*AH4_(A_INFN_H));}
1523//------------------------------------------------------------------------------------------------------------------------------
1524 AH1 AGtZeroH1(AH1 m){return ASatH1(m*AH1_(A_INFP_H));}
1525 AH2 AGtZeroH2(AH2 m){return ASatH2(m*AH2_(A_INFP_H));}
1526 AH3 AGtZeroH3(AH3 m){return ASatH3(m*AH3_(A_INFP_H));}
1527 AH4 AGtZeroH4(AH4 m){return ASatH4(m*AH4_(A_INFP_H));}
1528 #endif
1529////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1530////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1531//_____________________________________________________________/\_______________________________________________________________
1532//==============================================================================================================================
1533// [FIS] FLOAT INTEGER SORTABLE
1534//------------------------------------------------------------------------------------------------------------------------------
1535// Float to integer sortable.
1536// - If sign bit=0, flip the sign bit (positives).
1537// - If sign bit=1, flip all bits (negatives).
1538// Integer sortable to float.
1539// - If sign bit=1, flip the sign bit (positives).
1540// - If sign bit=0, flip all bits (negatives).
1541// Has nice side effects.
1542// - Larger integers are more positive values.
1543// - Float zero is mapped to center of integers (so clear to integer zero is a nice default for atomic max usage).
1544// Burns 3 ops for conversion {shift,or,xor}.
1545//==============================================================================================================================
1546 AU1 AFisToU1(AU1 x){return x^(( AShrSU1(x,AU1_(31)))|AU1_(0x80000000));}
1547 AU1 AFisFromU1(AU1 x){return x^((~AShrSU1(x,AU1_(31)))|AU1_(0x80000000));}
1548//------------------------------------------------------------------------------------------------------------------------------
1549 // Just adjust high 16-bit value (useful when upper part of 32-bit word is a 16-bit float value).
1550 AU1 AFisToHiU1(AU1 x){return x^(( AShrSU1(x,AU1_(15)))|AU1_(0x80000000));}
1551 AU1 AFisFromHiU1(AU1 x){return x^((~AShrSU1(x,AU1_(15)))|AU1_(0x80000000));}
1552//------------------------------------------------------------------------------------------------------------------------------
1553 #ifdef A_HALF
1554 AW1 AFisToW1(AW1 x){return x^(( AShrSW1(x,AW1_(15)))|AW1_(0x8000));}
1555 AW1 AFisFromW1(AW1 x){return x^((~AShrSW1(x,AW1_(15)))|AW1_(0x8000));}
1556//------------------------------------------------------------------------------------------------------------------------------
1557 AW2 AFisToW2(AW2 x){return x^(( AShrSW2(x,AW2_(15)))|AW2_(0x8000));}
1558 AW2 AFisFromW2(AW2 x){return x^((~AShrSW2(x,AW2_(15)))|AW2_(0x8000));}
1559 #endif
1560////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1561////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1562//_____________________________________________________________/\_______________________________________________________________
1563//==============================================================================================================================
1564// [PERM] V_PERM_B32
1565//------------------------------------------------------------------------------------------------------------------------------
1566// Support for V_PERM_B32 started in the 3rd generation of GCN.
1567//------------------------------------------------------------------------------------------------------------------------------
1568// yyyyxxxx - The 'i' input.
1569// 76543210
1570// ========
1571// HGFEDCBA - Naming on permutation.
1572//------------------------------------------------------------------------------------------------------------------------------
1573// TODO
1574// ====
1575// - Make sure compiler optimizes this.
1576//==============================================================================================================================
1577 #ifdef A_HALF
1578 AU1 APerm0E0A(AU2 i){return((i.x )&0xffu)|((i.y<<16)&0xff0000u);}
1579 AU1 APerm0F0B(AU2 i){return((i.x>> 8)&0xffu)|((i.y<< 8)&0xff0000u);}
1580 AU1 APerm0G0C(AU2 i){return((i.x>>16)&0xffu)|((i.y )&0xff0000u);}
1581 AU1 APerm0H0D(AU2 i){return((i.x>>24)&0xffu)|((i.y>> 8)&0xff0000u);}
1582//------------------------------------------------------------------------------------------------------------------------------
1583 AU1 APermHGFA(AU2 i){return((i.x )&0x000000ffu)|(i.y&0xffffff00u);}
1584 AU1 APermHGFC(AU2 i){return((i.x>>16)&0x000000ffu)|(i.y&0xffffff00u);}
1585 AU1 APermHGAE(AU2 i){return((i.x<< 8)&0x0000ff00u)|(i.y&0xffff00ffu);}
1586 AU1 APermHGCE(AU2 i){return((i.x>> 8)&0x0000ff00u)|(i.y&0xffff00ffu);}
1587 AU1 APermHAFE(AU2 i){return((i.x<<16)&0x00ff0000u)|(i.y&0xff00ffffu);}
1588 AU1 APermHCFE(AU2 i){return((i.x )&0x00ff0000u)|(i.y&0xff00ffffu);}
1589 AU1 APermAGFE(AU2 i){return((i.x<<24)&0xff000000u)|(i.y&0x00ffffffu);}
1590 AU1 APermCGFE(AU2 i){return((i.x<< 8)&0xff000000u)|(i.y&0x00ffffffu);}
1591//------------------------------------------------------------------------------------------------------------------------------
1592 AU1 APermGCEA(AU2 i){return((i.x)&0x00ff00ffu)|((i.y<<8)&0xff00ff00u);}
1593 AU1 APermGECA(AU2 i){return(((i.x)&0xffu)|((i.x>>8)&0xff00u)|((i.y<<16)&0xff0000u)|((i.y<<8)&0xff000000u));}
1594 #endif
1595////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1596////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1597//_____________________________________________________________/\_______________________________________________________________
1598//==============================================================================================================================
1599// [BUC] BYTE UNSIGNED CONVERSION
1600//------------------------------------------------------------------------------------------------------------------------------
1601// Designed to use the optimal conversion, enables the scaling to possibly be factored into other computation.
1602// Works on a range of {0 to A_BUC_<32,16>}, for <32-bit, and 16-bit> respectively.
1603//------------------------------------------------------------------------------------------------------------------------------
1604// OPCODE NOTES
1605// ============
1606// GCN does not do UNORM or SNORM for bytes in opcodes.
1607// - V_CVT_F32_UBYTE{0,1,2,3} - Unsigned byte to float.
1608// - V_CVT_PKACC_U8_F32 - Float to unsigned byte (does bit-field insert into 32-bit integer).
1609// V_PERM_B32 does byte packing with ability to zero fill bytes as well.
1610// - Can pull out byte values from two sources, and zero fill upper 8-bits of packed hi and lo.
1611//------------------------------------------------------------------------------------------------------------------------------
1612// BYTE : FLOAT - ABuc{0,1,2,3}{To,From}U1() - Designed for V_CVT_F32_UBYTE* and V_CVT_PKACCUM_U8_F32 ops.
1613// ==== =====
1614// 0 : 0
1615// 1 : 1
1616// ...
1617// 255 : 255
1618// : 256 (just outside the encoding range)
1619//------------------------------------------------------------------------------------------------------------------------------
1620// BYTE : FLOAT - ABuc{0,1,2,3}{To,From}U2() - Designed for 16-bit denormal tricks and V_PERM_B32.
1621// ==== =====
1622// 0 : 0
1623// 1 : 1/512
1624// 2 : 1/256
1625// ...
1626// 64 : 1/8
1627// 128 : 1/4
1628// 255 : 255/512
1629// : 1/2 (just outside the encoding range)
1630//------------------------------------------------------------------------------------------------------------------------------
1631// OPTIMAL IMPLEMENTATIONS ON AMD ARCHITECTURES
1632// ============================================
1633// r=ABuc0FromU1(i)
1634// V_CVT_F32_UBYTE0 r,i
1635// --------------------------------------------
1636// r=ABuc0ToU1(d,i)
1637// V_CVT_PKACCUM_U8_F32 r,i,0,d
1638// --------------------------------------------
1639// d=ABuc0FromU2(i)
1640// Where 'k0' is an SGPR with 0x0E0A
1641// Where 'k1' is an SGPR with {32768.0} packed into the lower 16-bits
1642// V_PERM_B32 d,i.x,i.y,k0
1643// V_PK_FMA_F16 d,d,k1.x,0
1644// --------------------------------------------
1645// r=ABuc0ToU2(d,i)
1646// Where 'k0' is an SGPR with {1.0/32768.0} packed into the lower 16-bits
1647// Where 'k1' is an SGPR with 0x????
1648// Where 'k2' is an SGPR with 0x????
1649// V_PK_FMA_F16 i,i,k0.x,0
1650// V_PERM_B32 r.x,i,i,k1
1651// V_PERM_B32 r.y,i,i,k2
1652//==============================================================================================================================
1653 // Peak range for 32-bit and 16-bit operations.
1654 #define A_BUC_32 (255.0)
1655 #define A_BUC_16 (255.0/512.0)
1656//==============================================================================================================================
1657 #if 1
1658 // Designed to be one V_CVT_PKACCUM_U8_F32.
1659 // The extra min is required to pattern match to V_CVT_PKACCUM_U8_F32.
1660 AU1 ABuc0ToU1(AU1 d,AF1 i){return (d&0xffffff00u)|((min(AU1(i),255u) )&(0x000000ffu));}
1661 AU1 ABuc1ToU1(AU1 d,AF1 i){return (d&0xffff00ffu)|((min(AU1(i),255u)<< 8)&(0x0000ff00u));}
1662 AU1 ABuc2ToU1(AU1 d,AF1 i){return (d&0xff00ffffu)|((min(AU1(i),255u)<<16)&(0x00ff0000u));}
1663 AU1 ABuc3ToU1(AU1 d,AF1 i){return (d&0x00ffffffu)|((min(AU1(i),255u)<<24)&(0xff000000u));}
1664//------------------------------------------------------------------------------------------------------------------------------
1665 // Designed to be one V_CVT_F32_UBYTE*.
1666 AF1 ABuc0FromU1(AU1 i){return AF1((i )&255u);}
1667 AF1 ABuc1FromU1(AU1 i){return AF1((i>> 8)&255u);}
1668 AF1 ABuc2FromU1(AU1 i){return AF1((i>>16)&255u);}
1669 AF1 ABuc3FromU1(AU1 i){return AF1((i>>24)&255u);}
1670 #endif
1671//==============================================================================================================================
1672 #ifdef A_HALF
1673 // Takes {x0,x1} and {y0,y1} and builds {{x0,y0},{x1,y1}}.
1674 AW2 ABuc01ToW2(AH2 x,AH2 y){x*=AH2_(1.0/32768.0);y*=AH2_(1.0/32768.0);
1675 return AW2_AU1(APermGCEA(AU2(AU1_AW2(AW2_AH2(x)),AU1_AW2(AW2_AH2(y)))));}
1676//------------------------------------------------------------------------------------------------------------------------------
1677 // Designed for 3 ops to do SOA to AOS and conversion.
1678 AU2 ABuc0ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)));
1679 return AU2(APermHGFA(AU2(d.x,b)),APermHGFC(AU2(d.y,b)));}
1680 AU2 ABuc1ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)));
1681 return AU2(APermHGAE(AU2(d.x,b)),APermHGCE(AU2(d.y,b)));}
1682 AU2 ABuc2ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)));
1683 return AU2(APermHAFE(AU2(d.x,b)),APermHCFE(AU2(d.y,b)));}
1684 AU2 ABuc3ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)));
1685 return AU2(APermAGFE(AU2(d.x,b)),APermCGFE(AU2(d.y,b)));}
1686//------------------------------------------------------------------------------------------------------------------------------
1687 // Designed for 2 ops to do both AOS to SOA, and conversion.
1688 AH2 ABuc0FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0E0A(i)))*AH2_(32768.0);}
1689 AH2 ABuc1FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0F0B(i)))*AH2_(32768.0);}
1690 AH2 ABuc2FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0G0C(i)))*AH2_(32768.0);}
1691 AH2 ABuc3FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0H0D(i)))*AH2_(32768.0);}
1692 #endif
1693////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1694////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1695//_____________________________________________________________/\_______________________________________________________________
1696//==============================================================================================================================
1697// [BSC] BYTE SIGNED CONVERSION
1698//------------------------------------------------------------------------------------------------------------------------------
1699// Similar to [BUC].
1700// Works on a range of {-/+ A_BSC_<32,16>}, for <32-bit, and 16-bit> respectively.
1701//------------------------------------------------------------------------------------------------------------------------------
1702// ENCODING (without zero-based encoding)
1703// ========
1704// 0 = unused (can be used to mean something else)
1705// 1 = lowest value
1706// 128 = exact zero center (zero based encoding
1707// 255 = highest value
1708//------------------------------------------------------------------------------------------------------------------------------
1709// Zero-based [Zb] flips the MSB bit of the byte (making 128 "exact zero" actually zero).
1710// This is useful if there is a desire for cleared values to decode as zero.
1711//------------------------------------------------------------------------------------------------------------------------------
1712// BYTE : FLOAT - ABsc{0,1,2,3}{To,From}U2() - Designed for 16-bit denormal tricks and V_PERM_B32.
1713// ==== =====
1714// 0 : -127/512 (unused)
1715// 1 : -126/512
1716// 2 : -125/512
1717// ...
1718// 128 : 0
1719// ...
1720// 255 : 127/512
1721// : 1/4 (just outside the encoding range)
1722//==============================================================================================================================
1723 // Peak range for 32-bit and 16-bit operations.
1724 #define A_BSC_32 (127.0)
1725 #define A_BSC_16 (127.0/512.0)
1726//==============================================================================================================================
1727 #if 1
1728 AU1 ABsc0ToU1(AU1 d,AF1 i){return (d&0xffffff00u)|((min(AU1(i+128.0),255u) )&(0x000000ffu));}
1729 AU1 ABsc1ToU1(AU1 d,AF1 i){return (d&0xffff00ffu)|((min(AU1(i+128.0),255u)<< 8)&(0x0000ff00u));}
1730 AU1 ABsc2ToU1(AU1 d,AF1 i){return (d&0xff00ffffu)|((min(AU1(i+128.0),255u)<<16)&(0x00ff0000u));}
1731 AU1 ABsc3ToU1(AU1 d,AF1 i){return (d&0x00ffffffu)|((min(AU1(i+128.0),255u)<<24)&(0xff000000u));}
1732//------------------------------------------------------------------------------------------------------------------------------
1733 AU1 ABsc0ToZbU1(AU1 d,AF1 i){return ((d&0xffffff00u)|((min(AU1(trunc(i)+128.0),255u) )&(0x000000ffu)))^0x00000080u;}
1734 AU1 ABsc1ToZbU1(AU1 d,AF1 i){return ((d&0xffff00ffu)|((min(AU1(trunc(i)+128.0),255u)<< 8)&(0x0000ff00u)))^0x00008000u;}
1735 AU1 ABsc2ToZbU1(AU1 d,AF1 i){return ((d&0xff00ffffu)|((min(AU1(trunc(i)+128.0),255u)<<16)&(0x00ff0000u)))^0x00800000u;}
1736 AU1 ABsc3ToZbU1(AU1 d,AF1 i){return ((d&0x00ffffffu)|((min(AU1(trunc(i)+128.0),255u)<<24)&(0xff000000u)))^0x80000000u;}
1737//------------------------------------------------------------------------------------------------------------------------------
1738 AF1 ABsc0FromU1(AU1 i){return AF1((i )&255u)-128.0;}
1739 AF1 ABsc1FromU1(AU1 i){return AF1((i>> 8)&255u)-128.0;}
1740 AF1 ABsc2FromU1(AU1 i){return AF1((i>>16)&255u)-128.0;}
1741 AF1 ABsc3FromU1(AU1 i){return AF1((i>>24)&255u)-128.0;}
1742//------------------------------------------------------------------------------------------------------------------------------
1743 AF1 ABsc0FromZbU1(AU1 i){return AF1(((i )&255u)^0x80u)-128.0;}
1744 AF1 ABsc1FromZbU1(AU1 i){return AF1(((i>> 8)&255u)^0x80u)-128.0;}
1745 AF1 ABsc2FromZbU1(AU1 i){return AF1(((i>>16)&255u)^0x80u)-128.0;}
1746 AF1 ABsc3FromZbU1(AU1 i){return AF1(((i>>24)&255u)^0x80u)-128.0;}
1747 #endif
1748//==============================================================================================================================
1749 #ifdef A_HALF
1750 // Takes {x0,x1} and {y0,y1} and builds {{x0,y0},{x1,y1}}.
1751 AW2 ABsc01ToW2(AH2 x,AH2 y){x=x*AH2_(1.0/32768.0)+AH2_(0.25/32768.0);y=y*AH2_(1.0/32768.0)+AH2_(0.25/32768.0);
1752 return AW2_AU1(APermGCEA(AU2(AU1_AW2(AW2_AH2(x)),AU1_AW2(AW2_AH2(y)))));}
1753//------------------------------------------------------------------------------------------------------------------------------
1754 AU2 ABsc0ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)));
1755 return AU2(APermHGFA(AU2(d.x,b)),APermHGFC(AU2(d.y,b)));}
1756 AU2 ABsc1ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)));
1757 return AU2(APermHGAE(AU2(d.x,b)),APermHGCE(AU2(d.y,b)));}
1758 AU2 ABsc2ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)));
1759 return AU2(APermHAFE(AU2(d.x,b)),APermHCFE(AU2(d.y,b)));}
1760 AU2 ABsc3ToU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)));
1761 return AU2(APermAGFE(AU2(d.x,b)),APermCGFE(AU2(d.y,b)));}
1762//------------------------------------------------------------------------------------------------------------------------------
1763 AU2 ABsc0ToZbU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)))^0x00800080u;
1764 return AU2(APermHGFA(AU2(d.x,b)),APermHGFC(AU2(d.y,b)));}
1765 AU2 ABsc1ToZbU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)))^0x00800080u;
1766 return AU2(APermHGAE(AU2(d.x,b)),APermHGCE(AU2(d.y,b)));}
1767 AU2 ABsc2ToZbU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)))^0x00800080u;
1768 return AU2(APermHAFE(AU2(d.x,b)),APermHCFE(AU2(d.y,b)));}
1769 AU2 ABsc3ToZbU2(AU2 d,AH2 i){AU1 b=AU1_AW2(AW2_AH2(i*AH2_(1.0/32768.0)+AH2_(0.25/32768.0)))^0x00800080u;
1770 return AU2(APermAGFE(AU2(d.x,b)),APermCGFE(AU2(d.y,b)));}
1771//------------------------------------------------------------------------------------------------------------------------------
1772 AH2 ABsc0FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0E0A(i)))*AH2_(32768.0)-AH2_(0.25);}
1773 AH2 ABsc1FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0F0B(i)))*AH2_(32768.0)-AH2_(0.25);}
1774 AH2 ABsc2FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0G0C(i)))*AH2_(32768.0)-AH2_(0.25);}
1775 AH2 ABsc3FromU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0H0D(i)))*AH2_(32768.0)-AH2_(0.25);}
1776//------------------------------------------------------------------------------------------------------------------------------
1777 AH2 ABsc0FromZbU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0E0A(i)^0x00800080u))*AH2_(32768.0)-AH2_(0.25);}
1778 AH2 ABsc1FromZbU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0F0B(i)^0x00800080u))*AH2_(32768.0)-AH2_(0.25);}
1779 AH2 ABsc2FromZbU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0G0C(i)^0x00800080u))*AH2_(32768.0)-AH2_(0.25);}
1780 AH2 ABsc3FromZbU2(AU2 i){return AH2_AW2(AW2_AU1(APerm0H0D(i)^0x00800080u))*AH2_(32768.0)-AH2_(0.25);}
1781 #endif
1782////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1783////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1784//_____________________________________________________________/\_______________________________________________________________
1785//==============================================================================================================================
1786// HALF APPROXIMATIONS
1787//------------------------------------------------------------------------------------------------------------------------------
1788// These support only positive inputs.
1789// Did not see value yet in specialization for range.
1790// Using quick testing, ended up mostly getting the same "best" approximation for various ranges.
1791// With hardware that can co-execute transcendentals, the value in approximations could be less than expected.
1792// However from a latency perspective, if execution of a transcendental is 4 clk, with no packed support, -> 8 clk total.
1793// And co-execution would require a compiler interleaving a lot of independent work for packed usage.
1794//------------------------------------------------------------------------------------------------------------------------------
1795// The one Newton Raphson iteration form of rsq() was skipped (requires 6 ops total).
1796// Same with sqrt(), as this could be x*rsq() (7 ops).
1797//==============================================================================================================================
1798 #ifdef A_HALF
1799 // Minimize squared error across full positive range, 2 ops.
1800 // The 0x1de2 based approximation maps {0 to 1} input maps to < 1 output.
1801 AH1 APrxLoSqrtH1(AH1 a){return AH1_AW1((AW1_AH1(a)>>AW1_(1))+AW1_(0x1de2));}
1802 AH2 APrxLoSqrtH2(AH2 a){return AH2_AW2((AW2_AH2(a)>>AW2_(1))+AW2_(0x1de2));}
1803 AH3 APrxLoSqrtH3(AH3 a){return AH3_AW3((AW3_AH3(a)>>AW3_(1))+AW3_(0x1de2));}
1804 AH4 APrxLoSqrtH4(AH4 a){return AH4_AW4((AW4_AH4(a)>>AW4_(1))+AW4_(0x1de2));}
1805//------------------------------------------------------------------------------------------------------------------------------
1806 // Lower precision estimation, 1 op.
1807 // Minimize squared error across {smallest normal to 16384.0}.
1808 AH1 APrxLoRcpH1(AH1 a){return AH1_AW1(AW1_(0x7784)-AW1_AH1(a));}
1809 AH2 APrxLoRcpH2(AH2 a){return AH2_AW2(AW2_(0x7784)-AW2_AH2(a));}
1810 AH3 APrxLoRcpH3(AH3 a){return AH3_AW3(AW3_(0x7784)-AW3_AH3(a));}
1811 AH4 APrxLoRcpH4(AH4 a){return AH4_AW4(AW4_(0x7784)-AW4_AH4(a));}
1812//------------------------------------------------------------------------------------------------------------------------------
1813 // Medium precision estimation, one Newton Raphson iteration, 3 ops.
1814 AH1 APrxMedRcpH1(AH1 a){AH1 b=AH1_AW1(AW1_(0x778d)-AW1_AH1(a));return b*(-b*a+AH1_(2.0));}
1815 AH2 APrxMedRcpH2(AH2 a){AH2 b=AH2_AW2(AW2_(0x778d)-AW2_AH2(a));return b*(-b*a+AH2_(2.0));}
1816 AH3 APrxMedRcpH3(AH3 a){AH3 b=AH3_AW3(AW3_(0x778d)-AW3_AH3(a));return b*(-b*a+AH3_(2.0));}
1817 AH4 APrxMedRcpH4(AH4 a){AH4 b=AH4_AW4(AW4_(0x778d)-AW4_AH4(a));return b*(-b*a+AH4_(2.0));}
1818//------------------------------------------------------------------------------------------------------------------------------
1819 // Minimize squared error across {smallest normal to 16384.0}, 2 ops.
1820 AH1 APrxLoRsqH1(AH1 a){return AH1_AW1(AW1_(0x59a3)-(AW1_AH1(a)>>AW1_(1)));}
1821 AH2 APrxLoRsqH2(AH2 a){return AH2_AW2(AW2_(0x59a3)-(AW2_AH2(a)>>AW2_(1)));}
1822 AH3 APrxLoRsqH3(AH3 a){return AH3_AW3(AW3_(0x59a3)-(AW3_AH3(a)>>AW3_(1)));}
1823 AH4 APrxLoRsqH4(AH4 a){return AH4_AW4(AW4_(0x59a3)-(AW4_AH4(a)>>AW4_(1)));}
1824 #endif
1825////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1826////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1827//_____________________________________________________________/\_______________________________________________________________
1828//==============================================================================================================================
1829// FLOAT APPROXIMATIONS
1830//------------------------------------------------------------------------------------------------------------------------------
1831// Michal Drobot has an excellent presentation on these: "Low Level Optimizations For GCN",
1832// - Idea dates back to SGI, then to Quake 3, etc.
1833// - https://michaldrobot.files.wordpress.com/2014/05/gcn_alu_opt_digitaldragons2014.pdf
1834// - sqrt(x)=rsqrt(x)*x
1835// - rcp(x)=rsqrt(x)*rsqrt(x) for positive x
1836// - https://github.com/michaldrobot/ShaderFastLibs/blob/master/ShaderFastMathLib.h
1837//------------------------------------------------------------------------------------------------------------------------------
1838// These below are from perhaps less complete searching for optimal.
1839// Used FP16 normal range for testing with +4096 32-bit step size for sampling error.
1840// So these match up well with the half approximations.
1841//==============================================================================================================================
1842 AF1 APrxLoSqrtF1(AF1 a){return AF1_AU1((AU1_AF1(a)>>AU1_(1))+AU1_(0x1fbc4639));}
1843 AF1 APrxLoRcpF1(AF1 a){return AF1_AU1(AU1_(0x7ef07ebb)-AU1_AF1(a));}
1844 AF1 APrxMedRcpF1(AF1 a){AF1 b=AF1_AU1(AU1_(0x7ef19fff)-AU1_AF1(a));return b*(-b*a+AF1_(2.0));}
1845 AF1 APrxLoRsqF1(AF1 a){return AF1_AU1(AU1_(0x5f347d74)-(AU1_AF1(a)>>AU1_(1)));}
1846//------------------------------------------------------------------------------------------------------------------------------
1847 AF2 APrxLoSqrtF2(AF2 a){return AF2_AU2((AU2_AF2(a)>>AU2_(1))+AU2_(0x1fbc4639));}
1848 AF2 APrxLoRcpF2(AF2 a){return AF2_AU2(AU2_(0x7ef07ebb)-AU2_AF2(a));}
1849 AF2 APrxMedRcpF2(AF2 a){AF2 b=AF2_AU2(AU2_(0x7ef19fff)-AU2_AF2(a));return b*(-b*a+AF2_(2.0));}
1850 AF2 APrxLoRsqF2(AF2 a){return AF2_AU2(AU2_(0x5f347d74)-(AU2_AF2(a)>>AU2_(1)));}
1851//------------------------------------------------------------------------------------------------------------------------------
1852 AF3 APrxLoSqrtF3(AF3 a){return AF3_AU3((AU3_AF3(a)>>AU3_(1))+AU3_(0x1fbc4639));}
1853 AF3 APrxLoRcpF3(AF3 a){return AF3_AU3(AU3_(0x7ef07ebb)-AU3_AF3(a));}
1854 AF3 APrxMedRcpF3(AF3 a){AF3 b=AF3_AU3(AU3_(0x7ef19fff)-AU3_AF3(a));return b*(-b*a+AF3_(2.0));}
1855 AF3 APrxLoRsqF3(AF3 a){return AF3_AU3(AU3_(0x5f347d74)-(AU3_AF3(a)>>AU3_(1)));}
1856//------------------------------------------------------------------------------------------------------------------------------
1857 AF4 APrxLoSqrtF4(AF4 a){return AF4_AU4((AU4_AF4(a)>>AU4_(1))+AU4_(0x1fbc4639));}
1858 AF4 APrxLoRcpF4(AF4 a){return AF4_AU4(AU4_(0x7ef07ebb)-AU4_AF4(a));}
1859 AF4 APrxMedRcpF4(AF4 a){AF4 b=AF4_AU4(AU4_(0x7ef19fff)-AU4_AF4(a));return b*(-b*a+AF4_(2.0));}
1860 AF4 APrxLoRsqF4(AF4 a){return AF4_AU4(AU4_(0x5f347d74)-(AU4_AF4(a)>>AU4_(1)));}
1861////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1862////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1863//_____________________________________________________________/\_______________________________________________________________
1864//==============================================================================================================================
1865// PQ APPROXIMATIONS
1866//------------------------------------------------------------------------------------------------------------------------------
1867// PQ is very close to x^(1/8). The functions below Use the fast float approximation method to do
1868// PQ<~>Gamma2 (4th power and fast 4th root) and PQ<~>Linear (8th power and fast 8th root). Maximum error is ~0.2%.
1869//==============================================================================================================================
1870// Helpers
1871 AF1 Quart(AF1 a) { a = a * a; return a * a;}
1872 AF1 Oct(AF1 a) { a = a * a; a = a * a; return a * a; }
1873 AF2 Quart(AF2 a) { a = a * a; return a * a; }
1874 AF2 Oct(AF2 a) { a = a * a; a = a * a; return a * a; }
1875 AF3 Quart(AF3 a) { a = a * a; return a * a; }
1876 AF3 Oct(AF3 a) { a = a * a; a = a * a; return a * a; }
1877 AF4 Quart(AF4 a) { a = a * a; return a * a; }
1878 AF4 Oct(AF4 a) { a = a * a; a = a * a; return a * a; }
1879 //------------------------------------------------------------------------------------------------------------------------------
1880 AF1 APrxPQToGamma2(AF1 a) { return Quart(a); }
1881 AF1 APrxPQToLinear(AF1 a) { return Oct(a); }
1882 AF1 APrxLoGamma2ToPQ(AF1 a) { return AF1_AU1((AU1_AF1(a) >> AU1_(2)) + AU1_(0x2F9A4E46)); }
1883 AF1 APrxMedGamma2ToPQ(AF1 a) { AF1 b = AF1_AU1((AU1_AF1(a) >> AU1_(2)) + AU1_(0x2F9A4E46)); AF1 b4 = Quart(b); return b - b * (b4 - a) / (AF1_(4.0) * b4); }
1884 AF1 APrxHighGamma2ToPQ(AF1 a) { return sqrt(sqrt(a)); }
1885 AF1 APrxLoLinearToPQ(AF1 a) { return AF1_AU1((AU1_AF1(a) >> AU1_(3)) + AU1_(0x378D8723)); }
1886 AF1 APrxMedLinearToPQ(AF1 a) { AF1 b = AF1_AU1((AU1_AF1(a) >> AU1_(3)) + AU1_(0x378D8723)); AF1 b8 = Oct(b); return b - b * (b8 - a) / (AF1_(8.0) * b8); }
1887 AF1 APrxHighLinearToPQ(AF1 a) { return sqrt(sqrt(sqrt(a))); }
1888 //------------------------------------------------------------------------------------------------------------------------------
1889 AF2 APrxPQToGamma2(AF2 a) { return Quart(a); }
1890 AF2 APrxPQToLinear(AF2 a) { return Oct(a); }
1891 AF2 APrxLoGamma2ToPQ(AF2 a) { return AF2_AU2((AU2_AF2(a) >> AU2_(2)) + AU2_(0x2F9A4E46)); }
1892 AF2 APrxMedGamma2ToPQ(AF2 a) { AF2 b = AF2_AU2((AU2_AF2(a) >> AU2_(2)) + AU2_(0x2F9A4E46)); AF2 b4 = Quart(b); return b - b * (b4 - a) / (AF1_(4.0) * b4); }
1893 AF2 APrxHighGamma2ToPQ(AF2 a) { return sqrt(sqrt(a)); }
1894 AF2 APrxLoLinearToPQ(AF2 a) { return AF2_AU2((AU2_AF2(a) >> AU2_(3)) + AU2_(0x378D8723)); }
1895 AF2 APrxMedLinearToPQ(AF2 a) { AF2 b = AF2_AU2((AU2_AF2(a) >> AU2_(3)) + AU2_(0x378D8723)); AF2 b8 = Oct(b); return b - b * (b8 - a) / (AF1_(8.0) * b8); }
1896 AF2 APrxHighLinearToPQ(AF2 a) { return sqrt(sqrt(sqrt(a))); }
1897 //------------------------------------------------------------------------------------------------------------------------------
1898 AF3 APrxPQToGamma2(AF3 a) { return Quart(a); }
1899 AF3 APrxPQToLinear(AF3 a) { return Oct(a); }
1900 AF3 APrxLoGamma2ToPQ(AF3 a) { return AF3_AU3((AU3_AF3(a) >> AU3_(2)) + AU3_(0x2F9A4E46)); }
1901 AF3 APrxMedGamma2ToPQ(AF3 a) { AF3 b = AF3_AU3((AU3_AF3(a) >> AU3_(2)) + AU3_(0x2F9A4E46)); AF3 b4 = Quart(b); return b - b * (b4 - a) / (AF1_(4.0) * b4); }
1902 AF3 APrxHighGamma2ToPQ(AF3 a) { return sqrt(sqrt(a)); }
1903 AF3 APrxLoLinearToPQ(AF3 a) { return AF3_AU3((AU3_AF3(a) >> AU3_(3)) + AU3_(0x378D8723)); }
1904 AF3 APrxMedLinearToPQ(AF3 a) { AF3 b = AF3_AU3((AU3_AF3(a) >> AU3_(3)) + AU3_(0x378D8723)); AF3 b8 = Oct(b); return b - b * (b8 - a) / (AF1_(8.0) * b8); }
1905 AF3 APrxHighLinearToPQ(AF3 a) { return sqrt(sqrt(sqrt(a))); }
1906 //------------------------------------------------------------------------------------------------------------------------------
1907 AF4 APrxPQToGamma2(AF4 a) { return Quart(a); }
1908 AF4 APrxPQToLinear(AF4 a) { return Oct(a); }
1909 AF4 APrxLoGamma2ToPQ(AF4 a) { return AF4_AU4((AU4_AF4(a) >> AU4_(2)) + AU4_(0x2F9A4E46)); }
1910 AF4 APrxMedGamma2ToPQ(AF4 a) { AF4 b = AF4_AU4((AU4_AF4(a) >> AU4_(2)) + AU4_(0x2F9A4E46)); AF4 b4 = Quart(b); return b - b * (b4 - a) / (AF1_(4.0) * b4); }
1911 AF4 APrxHighGamma2ToPQ(AF4 a) { return sqrt(sqrt(a)); }
1912 AF4 APrxLoLinearToPQ(AF4 a) { return AF4_AU4((AU4_AF4(a) >> AU4_(3)) + AU4_(0x378D8723)); }
1913 AF4 APrxMedLinearToPQ(AF4 a) { AF4 b = AF4_AU4((AU4_AF4(a) >> AU4_(3)) + AU4_(0x378D8723)); AF4 b8 = Oct(b); return b - b * (b8 - a) / (AF1_(8.0) * b8); }
1914 AF4 APrxHighLinearToPQ(AF4 a) { return sqrt(sqrt(sqrt(a))); }
1915////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1916////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1917//_____________________________________________________________/\_______________________________________________________________
1918//==============================================================================================================================
1919// PARABOLIC SIN & COS
1920//------------------------------------------------------------------------------------------------------------------------------
1921// Approximate answers to transcendental questions.
1922//------------------------------------------------------------------------------------------------------------------------------
1923//==============================================================================================================================
1924 #if 1
1925 // Valid input range is {-1 to 1} representing {0 to 2 pi}.
1926 // Output range is {-1/4 to 1/4} representing {-1 to 1}.
1927 AF1 APSinF1(AF1 x){return x*abs(x)-x;} // MAD.
1928 AF2 APSinF2(AF2 x){return x*abs(x)-x;}
1929 AF1 APCosF1(AF1 x){x=AFractF1(x*AF1_(0.5)+AF1_(0.75));x=x*AF1_(2.0)-AF1_(1.0);return APSinF1(x);} // 3x MAD, FRACT
1930 AF2 APCosF2(AF2 x){x=AFractF2(x*AF2_(0.5)+AF2_(0.75));x=x*AF2_(2.0)-AF2_(1.0);return APSinF2(x);}
1931 AF2 APSinCosF1(AF1 x){AF1 y=AFractF1(x*AF1_(0.5)+AF1_(0.75));y=y*AF1_(2.0)-AF1_(1.0);return APSinF2(AF2(x,y));}
1932 #endif
1933//------------------------------------------------------------------------------------------------------------------------------
1934 #ifdef A_HALF
1935 // For a packed {sin,cos} pair,
1936 // - Native takes 16 clocks and 4 issue slots (no packed transcendentals).
1937 // - Parabolic takes 8 clocks and 8 issue slots (only fract is non-packed).
1938 AH1 APSinH1(AH1 x){return x*abs(x)-x;}
1939 AH2 APSinH2(AH2 x){return x*abs(x)-x;} // AND,FMA
1940 AH1 APCosH1(AH1 x){x=AFractH1(x*AH1_(0.5)+AH1_(0.75));x=x*AH1_(2.0)-AH1_(1.0);return APSinH1(x);}
1941 AH2 APCosH2(AH2 x){x=AFractH2(x*AH2_(0.5)+AH2_(0.75));x=x*AH2_(2.0)-AH2_(1.0);return APSinH2(x);} // 3x FMA, 2xFRACT, AND
1942 AH2 APSinCosH1(AH1 x){AH1 y=AFractH1(x*AH1_(0.5)+AH1_(0.75));y=y*AH1_(2.0)-AH1_(1.0);return APSinH2(AH2(x,y));}
1943 #endif
1944////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1945////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
1946//_____________________________________________________________/\_______________________________________________________________
1947//==============================================================================================================================
1948// [ZOL] ZERO ONE LOGIC
1949//------------------------------------------------------------------------------------------------------------------------------
1950// Conditional free logic designed for easy 16-bit packing, and backwards porting to 32-bit.
1951//------------------------------------------------------------------------------------------------------------------------------
1952// 0 := false
1953// 1 := true
1954//------------------------------------------------------------------------------------------------------------------------------
1955// AndNot(x,y) -> !(x&y) .... One op.
1956// AndOr(x,y,z) -> (x&y)|z ... One op.
1957// GtZero(x) -> x>0.0 ..... One op.
1958// Sel(x,y,z) -> x?y:z ..... Two ops, has no precision loss.
1959// Signed(x) -> x<0.0 ..... One op.
1960// ZeroPass(x,y) -> x?0:y ..... Two ops, 'y' is a pass through safe for aliasing as integer.
1961//------------------------------------------------------------------------------------------------------------------------------
1962// OPTIMIZATION NOTES
1963// ==================
1964// - On Vega to use 2 constants in a packed op, pass in as one AW2 or one AH2 'k.xy' and use as 'k.xx' and 'k.yy'.
1965// For example 'a.xy*k.xx+k.yy'.
1966//==============================================================================================================================
1967 #if 1
1968 AU1 AZolAndU1(AU1 x,AU1 y){return min(x,y);}
1969 AU2 AZolAndU2(AU2 x,AU2 y){return min(x,y);}
1970 AU3 AZolAndU3(AU3 x,AU3 y){return min(x,y);}
1971 AU4 AZolAndU4(AU4 x,AU4 y){return min(x,y);}
1972//------------------------------------------------------------------------------------------------------------------------------
1973 AU1 AZolNotU1(AU1 x){return x^AU1_(1);}
1974 AU2 AZolNotU2(AU2 x){return x^AU2_(1);}
1975 AU3 AZolNotU3(AU3 x){return x^AU3_(1);}
1976 AU4 AZolNotU4(AU4 x){return x^AU4_(1);}
1977//------------------------------------------------------------------------------------------------------------------------------
1978 AU1 AZolOrU1(AU1 x,AU1 y){return max(x,y);}
1979 AU2 AZolOrU2(AU2 x,AU2 y){return max(x,y);}
1980 AU3 AZolOrU3(AU3 x,AU3 y){return max(x,y);}
1981 AU4 AZolOrU4(AU4 x,AU4 y){return max(x,y);}
1982//==============================================================================================================================
1983 AU1 AZolF1ToU1(AF1 x){return AU1(x);}
1984 AU2 AZolF2ToU2(AF2 x){return AU2(x);}
1985 AU3 AZolF3ToU3(AF3 x){return AU3(x);}
1986 AU4 AZolF4ToU4(AF4 x){return AU4(x);}
1987//------------------------------------------------------------------------------------------------------------------------------
1988 // 2 ops, denormals don't work in 32-bit on PC (and if they are enabled, OMOD is disabled).
1989 AU1 AZolNotF1ToU1(AF1 x){return AU1(AF1_(1.0)-x);}
1990 AU2 AZolNotF2ToU2(AF2 x){return AU2(AF2_(1.0)-x);}
1991 AU3 AZolNotF3ToU3(AF3 x){return AU3(AF3_(1.0)-x);}
1992 AU4 AZolNotF4ToU4(AF4 x){return AU4(AF4_(1.0)-x);}
1993//------------------------------------------------------------------------------------------------------------------------------
1994 AF1 AZolU1ToF1(AU1 x){return AF1(x);}
1995 AF2 AZolU2ToF2(AU2 x){return AF2(x);}
1996 AF3 AZolU3ToF3(AU3 x){return AF3(x);}
1997 AF4 AZolU4ToF4(AU4 x){return AF4(x);}
1998//==============================================================================================================================
1999 AF1 AZolAndF1(AF1 x,AF1 y){return min(x,y);}
2000 AF2 AZolAndF2(AF2 x,AF2 y){return min(x,y);}
2001 AF3 AZolAndF3(AF3 x,AF3 y){return min(x,y);}
2002 AF4 AZolAndF4(AF4 x,AF4 y){return min(x,y);}
2003//------------------------------------------------------------------------------------------------------------------------------
2004 AF1 ASolAndNotF1(AF1 x,AF1 y){return (-x)*y+AF1_(1.0);}
2005 AF2 ASolAndNotF2(AF2 x,AF2 y){return (-x)*y+AF2_(1.0);}
2006 AF3 ASolAndNotF3(AF3 x,AF3 y){return (-x)*y+AF3_(1.0);}
2007 AF4 ASolAndNotF4(AF4 x,AF4 y){return (-x)*y+AF4_(1.0);}
2008//------------------------------------------------------------------------------------------------------------------------------
2009 AF1 AZolAndOrF1(AF1 x,AF1 y,AF1 z){return ASatF1(x*y+z);}
2010 AF2 AZolAndOrF2(AF2 x,AF2 y,AF2 z){return ASatF2(x*y+z);}
2011 AF3 AZolAndOrF3(AF3 x,AF3 y,AF3 z){return ASatF3(x*y+z);}
2012 AF4 AZolAndOrF4(AF4 x,AF4 y,AF4 z){return ASatF4(x*y+z);}
2013//------------------------------------------------------------------------------------------------------------------------------
2014 AF1 AZolGtZeroF1(AF1 x){return ASatF1(x*AF1_(A_INFP_F));}
2015 AF2 AZolGtZeroF2(AF2 x){return ASatF2(x*AF2_(A_INFP_F));}
2016 AF3 AZolGtZeroF3(AF3 x){return ASatF3(x*AF3_(A_INFP_F));}
2017 AF4 AZolGtZeroF4(AF4 x){return ASatF4(x*AF4_(A_INFP_F));}
2018//------------------------------------------------------------------------------------------------------------------------------
2019 AF1 AZolNotF1(AF1 x){return AF1_(1.0)-x;}
2020 AF2 AZolNotF2(AF2 x){return AF2_(1.0)-x;}
2021 AF3 AZolNotF3(AF3 x){return AF3_(1.0)-x;}
2022 AF4 AZolNotF4(AF4 x){return AF4_(1.0)-x;}
2023//------------------------------------------------------------------------------------------------------------------------------
2024 AF1 AZolOrF1(AF1 x,AF1 y){return max(x,y);}
2025 AF2 AZolOrF2(AF2 x,AF2 y){return max(x,y);}
2026 AF3 AZolOrF3(AF3 x,AF3 y){return max(x,y);}
2027 AF4 AZolOrF4(AF4 x,AF4 y){return max(x,y);}
2028//------------------------------------------------------------------------------------------------------------------------------
2029 AF1 AZolSelF1(AF1 x,AF1 y,AF1 z){AF1 r=(-x)*z+z;return x*y+r;}
2030 AF2 AZolSelF2(AF2 x,AF2 y,AF2 z){AF2 r=(-x)*z+z;return x*y+r;}
2031 AF3 AZolSelF3(AF3 x,AF3 y,AF3 z){AF3 r=(-x)*z+z;return x*y+r;}
2032 AF4 AZolSelF4(AF4 x,AF4 y,AF4 z){AF4 r=(-x)*z+z;return x*y+r;}
2033//------------------------------------------------------------------------------------------------------------------------------
2034 AF1 AZolSignedF1(AF1 x){return ASatF1(x*AF1_(A_INFN_F));}
2035 AF2 AZolSignedF2(AF2 x){return ASatF2(x*AF2_(A_INFN_F));}
2036 AF3 AZolSignedF3(AF3 x){return ASatF3(x*AF3_(A_INFN_F));}
2037 AF4 AZolSignedF4(AF4 x){return ASatF4(x*AF4_(A_INFN_F));}
2038//------------------------------------------------------------------------------------------------------------------------------
2039 AF1 AZolZeroPassF1(AF1 x,AF1 y){return AF1_AU1((AU1_AF1(x)!=AU1_(0))?AU1_(0):AU1_AF1(y));}
2040 AF2 AZolZeroPassF2(AF2 x,AF2 y){return AF2_AU2((AU2_AF2(x)!=AU2_(0))?AU2_(0):AU2_AF2(y));}
2041 AF3 AZolZeroPassF3(AF3 x,AF3 y){return AF3_AU3((AU3_AF3(x)!=AU3_(0))?AU3_(0):AU3_AF3(y));}
2042 AF4 AZolZeroPassF4(AF4 x,AF4 y){return AF4_AU4((AU4_AF4(x)!=AU4_(0))?AU4_(0):AU4_AF4(y));}
2043 #endif
2044//==============================================================================================================================
2045 #ifdef A_HALF
2046 AW1 AZolAndW1(AW1 x,AW1 y){return min(x,y);}
2047 AW2 AZolAndW2(AW2 x,AW2 y){return min(x,y);}
2048 AW3 AZolAndW3(AW3 x,AW3 y){return min(x,y);}
2049 AW4 AZolAndW4(AW4 x,AW4 y){return min(x,y);}
2050//------------------------------------------------------------------------------------------------------------------------------
2051 AW1 AZolNotW1(AW1 x){return x^AW1_(1);}
2052 AW2 AZolNotW2(AW2 x){return x^AW2_(1);}
2053 AW3 AZolNotW3(AW3 x){return x^AW3_(1);}
2054 AW4 AZolNotW4(AW4 x){return x^AW4_(1);}
2055//------------------------------------------------------------------------------------------------------------------------------
2056 AW1 AZolOrW1(AW1 x,AW1 y){return max(x,y);}
2057 AW2 AZolOrW2(AW2 x,AW2 y){return max(x,y);}
2058 AW3 AZolOrW3(AW3 x,AW3 y){return max(x,y);}
2059 AW4 AZolOrW4(AW4 x,AW4 y){return max(x,y);}
2060//==============================================================================================================================
2061 // Uses denormal trick.
2062 AW1 AZolH1ToW1(AH1 x){return AW1_AH1(x*AH1_AW1(AW1_(1)));}
2063 AW2 AZolH2ToW2(AH2 x){return AW2_AH2(x*AH2_AW2(AW2_(1)));}
2064 AW3 AZolH3ToW3(AH3 x){return AW3_AH3(x*AH3_AW3(AW3_(1)));}
2065 AW4 AZolH4ToW4(AH4 x){return AW4_AH4(x*AH4_AW4(AW4_(1)));}
2066//------------------------------------------------------------------------------------------------------------------------------
2067 // AMD arch lacks a packed conversion opcode.
2068 AH1 AZolW1ToH1(AW1 x){return AH1_AW1(x*AW1_AH1(AH1_(1.0)));}
2069 AH2 AZolW2ToH2(AW2 x){return AH2_AW2(x*AW2_AH2(AH2_(1.0)));}
2070 AH3 AZolW1ToH3(AW3 x){return AH3_AW3(x*AW3_AH3(AH3_(1.0)));}
2071 AH4 AZolW2ToH4(AW4 x){return AH4_AW4(x*AW4_AH4(AH4_(1.0)));}
2072//==============================================================================================================================
2073 AH1 AZolAndH1(AH1 x,AH1 y){return min(x,y);}
2074 AH2 AZolAndH2(AH2 x,AH2 y){return min(x,y);}
2075 AH3 AZolAndH3(AH3 x,AH3 y){return min(x,y);}
2076 AH4 AZolAndH4(AH4 x,AH4 y){return min(x,y);}
2077//------------------------------------------------------------------------------------------------------------------------------
2078 AH1 ASolAndNotH1(AH1 x,AH1 y){return (-x)*y+AH1_(1.0);}
2079 AH2 ASolAndNotH2(AH2 x,AH2 y){return (-x)*y+AH2_(1.0);}
2080 AH3 ASolAndNotH3(AH3 x,AH3 y){return (-x)*y+AH3_(1.0);}
2081 AH4 ASolAndNotH4(AH4 x,AH4 y){return (-x)*y+AH4_(1.0);}
2082//------------------------------------------------------------------------------------------------------------------------------
2083 AH1 AZolAndOrH1(AH1 x,AH1 y,AH1 z){return ASatH1(x*y+z);}
2084 AH2 AZolAndOrH2(AH2 x,AH2 y,AH2 z){return ASatH2(x*y+z);}
2085 AH3 AZolAndOrH3(AH3 x,AH3 y,AH3 z){return ASatH3(x*y+z);}
2086 AH4 AZolAndOrH4(AH4 x,AH4 y,AH4 z){return ASatH4(x*y+z);}
2087//------------------------------------------------------------------------------------------------------------------------------
2088 AH1 AZolGtZeroH1(AH1 x){return ASatH1(x*AH1_(A_INFP_H));}
2089 AH2 AZolGtZeroH2(AH2 x){return ASatH2(x*AH2_(A_INFP_H));}
2090 AH3 AZolGtZeroH3(AH3 x){return ASatH3(x*AH3_(A_INFP_H));}
2091 AH4 AZolGtZeroH4(AH4 x){return ASatH4(x*AH4_(A_INFP_H));}
2092//------------------------------------------------------------------------------------------------------------------------------
2093 AH1 AZolNotH1(AH1 x){return AH1_(1.0)-x;}
2094 AH2 AZolNotH2(AH2 x){return AH2_(1.0)-x;}
2095 AH3 AZolNotH3(AH3 x){return AH3_(1.0)-x;}
2096 AH4 AZolNotH4(AH4 x){return AH4_(1.0)-x;}
2097//------------------------------------------------------------------------------------------------------------------------------
2098 AH1 AZolOrH1(AH1 x,AH1 y){return max(x,y);}
2099 AH2 AZolOrH2(AH2 x,AH2 y){return max(x,y);}
2100 AH3 AZolOrH3(AH3 x,AH3 y){return max(x,y);}
2101 AH4 AZolOrH4(AH4 x,AH4 y){return max(x,y);}
2102//------------------------------------------------------------------------------------------------------------------------------
2103 AH1 AZolSelH1(AH1 x,AH1 y,AH1 z){AH1 r=(-x)*z+z;return x*y+r;}
2104 AH2 AZolSelH2(AH2 x,AH2 y,AH2 z){AH2 r=(-x)*z+z;return x*y+r;}
2105 AH3 AZolSelH3(AH3 x,AH3 y,AH3 z){AH3 r=(-x)*z+z;return x*y+r;}
2106 AH4 AZolSelH4(AH4 x,AH4 y,AH4 z){AH4 r=(-x)*z+z;return x*y+r;}
2107//------------------------------------------------------------------------------------------------------------------------------
2108 AH1 AZolSignedH1(AH1 x){return ASatH1(x*AH1_(A_INFN_H));}
2109 AH2 AZolSignedH2(AH2 x){return ASatH2(x*AH2_(A_INFN_H));}
2110 AH3 AZolSignedH3(AH3 x){return ASatH3(x*AH3_(A_INFN_H));}
2111 AH4 AZolSignedH4(AH4 x){return ASatH4(x*AH4_(A_INFN_H));}
2112 #endif
2113////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2114////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2115//_____________________________________________________________/\_______________________________________________________________
2116//==============================================================================================================================
2117// COLOR CONVERSIONS
2118//------------------------------------------------------------------------------------------------------------------------------
2119// These are all linear to/from some other space (where 'linear' has been shortened out of the function name).
2120// So 'ToGamma' is 'LinearToGamma', and 'FromGamma' is 'LinearFromGamma'.
2121// These are branch free implementations.
2122// The AToSrgbF1() function is useful for stores for compute shaders for GPUs without hardware linear->sRGB store conversion.
2123//------------------------------------------------------------------------------------------------------------------------------
2124// TRANSFER FUNCTIONS
2125// ==================
2126// 709 ..... Rec709 used for some HDTVs
2127// Gamma ... Typically 2.2 for some PC displays, or 2.4-2.5 for CRTs, or 2.2 FreeSync2 native
2128// Pq ...... PQ native for HDR10
2129// Srgb .... The sRGB output, typical of PC displays, useful for 10-bit output, or storing to 8-bit UNORM without SRGB type
2130// Two ..... Gamma 2.0, fastest conversion (useful for intermediate pass approximations)
2131// Three ... Gamma 3.0, less fast, but good for HDR.
2132//------------------------------------------------------------------------------------------------------------------------------
2133// KEEPING TO SPEC
2134// ===============
2135// Both Rec.709 and sRGB have a linear segment which as spec'ed would intersect the curved segment 2 times.
2136// (a.) For 8-bit sRGB, steps {0 to 10.3} are in the linear region (4% of the encoding range).
2137// (b.) For 8-bit 709, steps {0 to 20.7} are in the linear region (8% of the encoding range).
2138// Also there is a slight step in the transition regions.
2139// Precision of the coefficients in the spec being the likely cause.
2140// Main usage case of the sRGB code is to do the linear->sRGB converstion in a compute shader before store.
2141// This is to work around lack of hardware (typically only ROP does the conversion for free).
2142// To "correct" the linear segment, would be to introduce error, because hardware decode of sRGB->linear is fixed (and free).
2143// So this header keeps with the spec.
2144// For linear->sRGB transforms, the linear segment in some respects reduces error, because rounding in that region is linear.
2145// Rounding in the curved region in hardware (and fast software code) introduces error due to rounding in non-linear.
2146//------------------------------------------------------------------------------------------------------------------------------
2147// FOR PQ
2148// ======
2149// Both input and output is {0.0-1.0}, and where output 1.0 represents 10000.0 cd/m^2.
2150// All constants are only specified to FP32 precision.
2151// External PQ source reference,
2152// - https://github.com/ampas/aces-dev/blob/master/transforms/ctl/utilities/ACESlib.Utilities_Color.a1.0.1.ctl
2153//------------------------------------------------------------------------------------------------------------------------------
2154// PACKED VERSIONS
2155// ===============
2156// These are the A*H2() functions.
2157// There is no PQ functions as FP16 seemed to not have enough precision for the conversion.
2158// The remaining functions are "good enough" for 8-bit, and maybe 10-bit if not concerned about a few 1-bit errors.
2159// Precision is lowest in the 709 conversion, higher in sRGB, higher still in Two and Gamma (when using 2.2 at least).
2160//------------------------------------------------------------------------------------------------------------------------------
2161// NOTES
2162// =====
2163// Could be faster for PQ conversions to be in ALU or a texture lookup depending on usage case.
2164//==============================================================================================================================
2165 #if 1
2166 AF1 ATo709F1(AF1 c){AF3 j=AF3(0.018*4.5,4.5,0.45);AF2 k=AF2(1.099,-0.099);
2167 return clamp(j.x ,c*j.y ,pow(c,j.z )*k.x +k.y );}
2168 AF2 ATo709F2(AF2 c){AF3 j=AF3(0.018*4.5,4.5,0.45);AF2 k=AF2(1.099,-0.099);
2169 return clamp(j.xx ,c*j.yy ,pow(c,j.zz )*k.xx +k.yy );}
2170 AF3 ATo709F3(AF3 c){AF3 j=AF3(0.018*4.5,4.5,0.45);AF2 k=AF2(1.099,-0.099);
2171 return clamp(j.xxx,c*j.yyy,pow(c,j.zzz)*k.xxx+k.yyy);}
2172//------------------------------------------------------------------------------------------------------------------------------
2173 // Note 'rcpX' is '1/x', where the 'x' is what would be used in AFromGamma().
2174 AF1 AToGammaF1(AF1 c,AF1 rcpX){return pow(c,AF1_(rcpX));}
2175 AF2 AToGammaF2(AF2 c,AF1 rcpX){return pow(c,AF2_(rcpX));}
2176 AF3 AToGammaF3(AF3 c,AF1 rcpX){return pow(c,AF3_(rcpX));}
2177//------------------------------------------------------------------------------------------------------------------------------
2178 AF1 AToPqF1(AF1 x){AF1 p=pow(x,AF1_(0.159302));
2179 return pow((AF1_(0.835938)+AF1_(18.8516)*p)/(AF1_(1.0)+AF1_(18.6875)*p),AF1_(78.8438));}
2180 AF2 AToPqF1(AF2 x){AF2 p=pow(x,AF2_(0.159302));
2181 return pow((AF2_(0.835938)+AF2_(18.8516)*p)/(AF2_(1.0)+AF2_(18.6875)*p),AF2_(78.8438));}
2182 AF3 AToPqF1(AF3 x){AF3 p=pow(x,AF3_(0.159302));
2183 return pow((AF3_(0.835938)+AF3_(18.8516)*p)/(AF3_(1.0)+AF3_(18.6875)*p),AF3_(78.8438));}
2184//------------------------------------------------------------------------------------------------------------------------------
2185 AF1 AToSrgbF1(AF1 c){AF3 j=AF3(0.0031308*12.92,12.92,1.0/2.4);AF2 k=AF2(1.055,-0.055);
2186 return clamp(j.x ,c*j.y ,pow(c,j.z )*k.x +k.y );}
2187 AF2 AToSrgbF2(AF2 c){AF3 j=AF3(0.0031308*12.92,12.92,1.0/2.4);AF2 k=AF2(1.055,-0.055);
2188 return clamp(j.xx ,c*j.yy ,pow(c,j.zz )*k.xx +k.yy );}
2189 AF3 AToSrgbF3(AF3 c){AF3 j=AF3(0.0031308*12.92,12.92,1.0/2.4);AF2 k=AF2(1.055,-0.055);
2190 return clamp(j.xxx,c*j.yyy,pow(c,j.zzz)*k.xxx+k.yyy);}
2191//------------------------------------------------------------------------------------------------------------------------------
2192 AF1 AToTwoF1(AF1 c){return sqrt(c);}
2193 AF2 AToTwoF2(AF2 c){return sqrt(c);}
2194 AF3 AToTwoF3(AF3 c){return sqrt(c);}
2195//------------------------------------------------------------------------------------------------------------------------------
2196 AF1 AToThreeF1(AF1 c){return pow(c,AF1_(1.0/3.0));}
2197 AF2 AToThreeF2(AF2 c){return pow(c,AF2_(1.0/3.0));}
2198 AF3 AToThreeF3(AF3 c){return pow(c,AF3_(1.0/3.0));}
2199 #endif
2200//==============================================================================================================================
2201 #if 1
2202 // Unfortunately median won't work here.
2203 AF1 AFrom709F1(AF1 c){AF3 j=AF3(0.081/4.5,1.0/4.5,1.0/0.45);AF2 k=AF2(1.0/1.099,0.099/1.099);
2204 return AZolSelF1(AZolSignedF1(c-j.x ),c*j.y ,pow(c*k.x +k.y ,j.z ));}
2205 AF2 AFrom709F2(AF2 c){AF3 j=AF3(0.081/4.5,1.0/4.5,1.0/0.45);AF2 k=AF2(1.0/1.099,0.099/1.099);
2206 return AZolSelF2(AZolSignedF2(c-j.xx ),c*j.yy ,pow(c*k.xx +k.yy ,j.zz ));}
2207 AF3 AFrom709F3(AF3 c){AF3 j=AF3(0.081/4.5,1.0/4.5,1.0/0.45);AF2 k=AF2(1.0/1.099,0.099/1.099);
2208 return AZolSelF3(AZolSignedF3(c-j.xxx),c*j.yyy,pow(c*k.xxx+k.yyy,j.zzz));}
2209//------------------------------------------------------------------------------------------------------------------------------
2210 AF1 AFromGammaF1(AF1 c,AF1 x){return pow(c,AF1_(x));}
2211 AF2 AFromGammaF2(AF2 c,AF1 x){return pow(c,AF2_(x));}
2212 AF3 AFromGammaF3(AF3 c,AF1 x){return pow(c,AF3_(x));}
2213//------------------------------------------------------------------------------------------------------------------------------
2214 AF1 AFromPqF1(AF1 x){AF1 p=pow(x,AF1_(0.0126833));
2215 return pow(ASatF1(p-AF1_(0.835938))/(AF1_(18.8516)-AF1_(18.6875)*p),AF1_(6.27739));}
2216 AF2 AFromPqF1(AF2 x){AF2 p=pow(x,AF2_(0.0126833));
2217 return pow(ASatF2(p-AF2_(0.835938))/(AF2_(18.8516)-AF2_(18.6875)*p),AF2_(6.27739));}
2218 AF3 AFromPqF1(AF3 x){AF3 p=pow(x,AF3_(0.0126833));
2219 return pow(ASatF3(p-AF3_(0.835938))/(AF3_(18.8516)-AF3_(18.6875)*p),AF3_(6.27739));}
2220//------------------------------------------------------------------------------------------------------------------------------
2221 // Unfortunately median won't work here.
2222 AF1 AFromSrgbF1(AF1 c){AF3 j=AF3(0.04045/12.92,1.0/12.92,2.4);AF2 k=AF2(1.0/1.055,0.055/1.055);
2223 return AZolSelF1(AZolSignedF1(c-j.x ),c*j.y ,pow(c*k.x +k.y ,j.z ));}
2224 AF2 AFromSrgbF2(AF2 c){AF3 j=AF3(0.04045/12.92,1.0/12.92,2.4);AF2 k=AF2(1.0/1.055,0.055/1.055);
2225 return AZolSelF2(AZolSignedF2(c-j.xx ),c*j.yy ,pow(c*k.xx +k.yy ,j.zz ));}
2226 AF3 AFromSrgbF3(AF3 c){AF3 j=AF3(0.04045/12.92,1.0/12.92,2.4);AF2 k=AF2(1.0/1.055,0.055/1.055);
2227 return AZolSelF3(AZolSignedF3(c-j.xxx),c*j.yyy,pow(c*k.xxx+k.yyy,j.zzz));}
2228//------------------------------------------------------------------------------------------------------------------------------
2229 AF1 AFromTwoF1(AF1 c){return c*c;}
2230 AF2 AFromTwoF2(AF2 c){return c*c;}
2231 AF3 AFromTwoF3(AF3 c){return c*c;}
2232//------------------------------------------------------------------------------------------------------------------------------
2233 AF1 AFromThreeF1(AF1 c){return c*c*c;}
2234 AF2 AFromThreeF2(AF2 c){return c*c*c;}
2235 AF3 AFromThreeF3(AF3 c){return c*c*c;}
2236 #endif
2237//==============================================================================================================================
2238 #ifdef A_HALF
2239 AH1 ATo709H1(AH1 c){AH3 j=AH3(0.018*4.5,4.5,0.45);AH2 k=AH2(1.099,-0.099);
2240 return clamp(j.x ,c*j.y ,pow(c,j.z )*k.x +k.y );}
2241 AH2 ATo709H2(AH2 c){AH3 j=AH3(0.018*4.5,4.5,0.45);AH2 k=AH2(1.099,-0.099);
2242 return clamp(j.xx ,c*j.yy ,pow(c,j.zz )*k.xx +k.yy );}
2243 AH3 ATo709H3(AH3 c){AH3 j=AH3(0.018*4.5,4.5,0.45);AH2 k=AH2(1.099,-0.099);
2244 return clamp(j.xxx,c*j.yyy,pow(c,j.zzz)*k.xxx+k.yyy);}
2245//------------------------------------------------------------------------------------------------------------------------------
2246 AH1 AToGammaH1(AH1 c,AH1 rcpX){return pow(c,AH1_(rcpX));}
2247 AH2 AToGammaH2(AH2 c,AH1 rcpX){return pow(c,AH2_(rcpX));}
2248 AH3 AToGammaH3(AH3 c,AH1 rcpX){return pow(c,AH3_(rcpX));}
2249//------------------------------------------------------------------------------------------------------------------------------
2250 AH1 AToSrgbH1(AH1 c){AH3 j=AH3(0.0031308*12.92,12.92,1.0/2.4);AH2 k=AH2(1.055,-0.055);
2251 return clamp(j.x ,c*j.y ,pow(c,j.z )*k.x +k.y );}
2252 AH2 AToSrgbH2(AH2 c){AH3 j=AH3(0.0031308*12.92,12.92,1.0/2.4);AH2 k=AH2(1.055,-0.055);
2253 return clamp(j.xx ,c*j.yy ,pow(c,j.zz )*k.xx +k.yy );}
2254 AH3 AToSrgbH3(AH3 c){AH3 j=AH3(0.0031308*12.92,12.92,1.0/2.4);AH2 k=AH2(1.055,-0.055);
2255 return clamp(j.xxx,c*j.yyy,pow(c,j.zzz)*k.xxx+k.yyy);}
2256//------------------------------------------------------------------------------------------------------------------------------
2257 AH1 AToTwoH1(AH1 c){return sqrt(c);}
2258 AH2 AToTwoH2(AH2 c){return sqrt(c);}
2259 AH3 AToTwoH3(AH3 c){return sqrt(c);}
2260//------------------------------------------------------------------------------------------------------------------------------
2261 AH1 AToThreeF1(AH1 c){return pow(c,AH1_(1.0/3.0));}
2262 AH2 AToThreeF2(AH2 c){return pow(c,AH2_(1.0/3.0));}
2263 AH3 AToThreeF3(AH3 c){return pow(c,AH3_(1.0/3.0));}
2264 #endif
2265//==============================================================================================================================
2266 #ifdef A_HALF
2267 AH1 AFrom709H1(AH1 c){AH3 j=AH3(0.081/4.5,1.0/4.5,1.0/0.45);AH2 k=AH2(1.0/1.099,0.099/1.099);
2268 return AZolSelH1(AZolSignedH1(c-j.x ),c*j.y ,pow(c*k.x +k.y ,j.z ));}
2269 AH2 AFrom709H2(AH2 c){AH3 j=AH3(0.081/4.5,1.0/4.5,1.0/0.45);AH2 k=AH2(1.0/1.099,0.099/1.099);
2270 return AZolSelH2(AZolSignedH2(c-j.xx ),c*j.yy ,pow(c*k.xx +k.yy ,j.zz ));}
2271 AH3 AFrom709H3(AH3 c){AH3 j=AH3(0.081/4.5,1.0/4.5,1.0/0.45);AH2 k=AH2(1.0/1.099,0.099/1.099);
2272 return AZolSelH3(AZolSignedH3(c-j.xxx),c*j.yyy,pow(c*k.xxx+k.yyy,j.zzz));}
2273//------------------------------------------------------------------------------------------------------------------------------
2274 AH1 AFromGammaH1(AH1 c,AH1 x){return pow(c,AH1_(x));}
2275 AH2 AFromGammaH2(AH2 c,AH1 x){return pow(c,AH2_(x));}
2276 AH3 AFromGammaH3(AH3 c,AH1 x){return pow(c,AH3_(x));}
2277//------------------------------------------------------------------------------------------------------------------------------
2278 AH1 AHromSrgbF1(AH1 c){AH3 j=AH3(0.04045/12.92,1.0/12.92,2.4);AH2 k=AH2(1.0/1.055,0.055/1.055);
2279 return AZolSelH1(AZolSignedH1(c-j.x ),c*j.y ,pow(c*k.x +k.y ,j.z ));}
2280 AH2 AHromSrgbF2(AH2 c){AH3 j=AH3(0.04045/12.92,1.0/12.92,2.4);AH2 k=AH2(1.0/1.055,0.055/1.055);
2281 return AZolSelH2(AZolSignedH2(c-j.xx ),c*j.yy ,pow(c*k.xx +k.yy ,j.zz ));}
2282 AH3 AHromSrgbF3(AH3 c){AH3 j=AH3(0.04045/12.92,1.0/12.92,2.4);AH2 k=AH2(1.0/1.055,0.055/1.055);
2283 return AZolSelH3(AZolSignedH3(c-j.xxx),c*j.yyy,pow(c*k.xxx+k.yyy,j.zzz));}
2284//------------------------------------------------------------------------------------------------------------------------------
2285 AH1 AFromTwoH1(AH1 c){return c*c;}
2286 AH2 AFromTwoH2(AH2 c){return c*c;}
2287 AH3 AFromTwoH3(AH3 c){return c*c;}
2288//------------------------------------------------------------------------------------------------------------------------------
2289 AH1 AFromThreeH1(AH1 c){return c*c*c;}
2290 AH2 AFromThreeH2(AH2 c){return c*c*c;}
2291 AH3 AFromThreeH3(AH3 c){return c*c*c;}
2292 #endif
2293////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2294////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2295//_____________________________________________________________/\_______________________________________________________________
2296//==============================================================================================================================
2297// CS REMAP
2298//==============================================================================================================================
2299 // Simple remap 64x1 to 8x8 with rotated 2x2 pixel quads in quad linear.
2300 // 543210
2301 // ======
2302 // ..xxx.
2303 // yy...y
2304 AU2 ARmp8x8(AU1 a){return AU2(ABfe(a,1u,3u),ABfiM(ABfe(a,3u,3u),a,1u));}
2305//==============================================================================================================================
2306 // More complex remap 64x1 to 8x8 which is necessary for 2D wave reductions.
2307 // 543210
2308 // ======
2309 // .xx..x
2310 // y..yy.
2311 // Details,
2312 // LANE TO 8x8 MAPPING
2313 // ===================
2314 // 00 01 08 09 10 11 18 19
2315 // 02 03 0a 0b 12 13 1a 1b
2316 // 04 05 0c 0d 14 15 1c 1d
2317 // 06 07 0e 0f 16 17 1e 1f
2318 // 20 21 28 29 30 31 38 39
2319 // 22 23 2a 2b 32 33 3a 3b
2320 // 24 25 2c 2d 34 35 3c 3d
2321 // 26 27 2e 2f 36 37 3e 3f
2322 AU2 ARmpRed8x8(AU1 a){return AU2(ABfiM(ABfe(a,2u,3u),a,1u),ABfiM(ABfe(a,3u,3u),ABfe(a,1u,2u),2u));}
2323//==============================================================================================================================
2324 #ifdef A_HALF
2325 AW2 ARmp8x8H(AU1 a){return AW2(ABfe(a,1u,3u),ABfiM(ABfe(a,3u,3u),a,1u));}
2326 AW2 ARmpRed8x8H(AU1 a){return AW2(ABfiM(ABfe(a,2u,3u),a,1u),ABfiM(ABfe(a,3u,3u),ABfe(a,1u,2u),2u));}
2327 #endif
2328#endif
2329////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2330////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2331////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2332////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2333//_____________________________________________________________/\_______________________________________________________________
2334//==============================================================================================================================
2335//
2336// REFERENCE
2337//
2338//------------------------------------------------------------------------------------------------------------------------------
2339// IEEE FLOAT RULES
2340// ================
2341// - saturate(NaN)=0, saturate(-INF)=0, saturate(+INF)=1
2342// - {+/-}0 * {+/-}INF = NaN
2343// - -INF + (+INF) = NaN
2344// - {+/-}0 / {+/-}0 = NaN
2345// - {+/-}INF / {+/-}INF = NaN
2346// - a<(-0) := sqrt(a) = NaN (a=-0.0 won't NaN)
2347// - 0 == -0
2348// - 4/0 = +INF
2349// - 4/-0 = -INF
2350// - 4+INF = +INF
2351// - 4-INF = -INF
2352// - 4*(+INF) = +INF
2353// - 4*(-INF) = -INF
2354// - -4*(+INF) = -INF
2355// - sqrt(+INF) = +INF
2356//------------------------------------------------------------------------------------------------------------------------------
2357// FP16 ENCODING
2358// =============
2359// fedcba9876543210
2360// ----------------
2361// ......mmmmmmmmmm 10-bit mantissa (encodes 11-bit 0.5 to 1.0 except for denormals)
2362// .eeeee.......... 5-bit exponent
2363// .00000.......... denormals
2364// .00001.......... -14 exponent
2365// .11110.......... 15 exponent
2366// .111110000000000 infinity
2367// .11111nnnnnnnnnn NaN with n!=0
2368// s............... sign
2369//------------------------------------------------------------------------------------------------------------------------------
2370// FP16/INT16 ALIASING DENORMAL
2371// ============================
2372// 11-bit unsigned integers alias with half float denormal/normal values,
2373// 1 = 2^(-24) = 1/16777216 ....................... first denormal value
2374// 2 = 2^(-23)
2375// ...
2376// 1023 = 2^(-14)*(1-2^(-10)) = 2^(-14)*(1-1/1024) ... last denormal value
2377// 1024 = 2^(-14) = 1/16384 .......................... first normal value that still maps to integers
2378// 2047 .............................................. last normal value that still maps to integers
2379// Scaling limits,
2380// 2^15 = 32768 ...................................... largest power of 2 scaling
2381// Largest pow2 conversion mapping is at *32768,
2382// 1 : 2^(-9) = 1/512
2383// 2 : 1/256
2384// 4 : 1/128
2385// 8 : 1/64
2386// 16 : 1/32
2387// 32 : 1/16
2388// 64 : 1/8
2389// 128 : 1/4
2390// 256 : 1/2
2391// 512 : 1
2392// 1024 : 2
2393// 2047 : a little less than 4
2394//==============================================================================================================================
2395////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2396////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2397////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2398////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2399////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2400////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2401//_____________________________________________________________/\_______________________________________________________________
2402//==============================================================================================================================
2403//
2404//
2405// GPU/CPU PORTABILITY
2406//
2407//
2408//------------------------------------------------------------------------------------------------------------------------------
2409// This is the GPU implementation.
2410// See the CPU implementation for docs.
2411//==============================================================================================================================
2412#ifdef A_GPU
2413 #define A_TRUE true
2414 #define A_FALSE false
2415 #define A_STATIC
2416////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2417////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2418//_____________________________________________________________/\_______________________________________________________________
2419//==============================================================================================================================
2420// VECTOR ARGUMENT/RETURN/INITIALIZATION PORTABILITY
2421//==============================================================================================================================
2422 #define retAD2 AD2
2423 #define retAD3 AD3
2424 #define retAD4 AD4
2425 #define retAF2 AF2
2426 #define retAF3 AF3
2427 #define retAF4 AF4
2428 #define retAL2 AL2
2429 #define retAL3 AL3
2430 #define retAL4 AL4
2431 #define retAU2 AU2
2432 #define retAU3 AU3
2433 #define retAU4 AU4
2434//------------------------------------------------------------------------------------------------------------------------------
2435 #define inAD2 in AD2
2436 #define inAD3 in AD3
2437 #define inAD4 in AD4
2438 #define inAF2 in AF2
2439 #define inAF3 in AF3
2440 #define inAF4 in AF4
2441 #define inAL2 in AL2
2442 #define inAL3 in AL3
2443 #define inAL4 in AL4
2444 #define inAU2 in AU2
2445 #define inAU3 in AU3
2446 #define inAU4 in AU4
2447//------------------------------------------------------------------------------------------------------------------------------
2448 #define inoutAD2 inout AD2
2449 #define inoutAD3 inout AD3
2450 #define inoutAD4 inout AD4
2451 #define inoutAF2 inout AF2
2452 #define inoutAF3 inout AF3
2453 #define inoutAF4 inout AF4
2454 #define inoutAL2 inout AL2
2455 #define inoutAL3 inout AL3
2456 #define inoutAL4 inout AL4
2457 #define inoutAU2 inout AU2
2458 #define inoutAU3 inout AU3
2459 #define inoutAU4 inout AU4
2460//------------------------------------------------------------------------------------------------------------------------------
2461 #define outAD2 out AD2
2462 #define outAD3 out AD3
2463 #define outAD4 out AD4
2464 #define outAF2 out AF2
2465 #define outAF3 out AF3
2466 #define outAF4 out AF4
2467 #define outAL2 out AL2
2468 #define outAL3 out AL3
2469 #define outAL4 out AL4
2470 #define outAU2 out AU2
2471 #define outAU3 out AU3
2472 #define outAU4 out AU4
2473//------------------------------------------------------------------------------------------------------------------------------
2474 #define varAD2(x) AD2 x
2475 #define varAD3(x) AD3 x
2476 #define varAD4(x) AD4 x
2477 #define varAF2(x) AF2 x
2478 #define varAF3(x) AF3 x
2479 #define varAF4(x) AF4 x
2480 #define varAL2(x) AL2 x
2481 #define varAL3(x) AL3 x
2482 #define varAL4(x) AL4 x
2483 #define varAU2(x) AU2 x
2484 #define varAU3(x) AU3 x
2485 #define varAU4(x) AU4 x
2486//------------------------------------------------------------------------------------------------------------------------------
2487 #define initAD2(x,y) AD2(x,y)
2488 #define initAD3(x,y,z) AD3(x,y,z)
2489 #define initAD4(x,y,z,w) AD4(x,y,z,w)
2490 #define initAF2(x,y) AF2(x,y)
2491 #define initAF3(x,y,z) AF3(x,y,z)
2492 #define initAF4(x,y,z,w) AF4(x,y,z,w)
2493 #define initAL2(x,y) AL2(x,y)
2494 #define initAL3(x,y,z) AL3(x,y,z)
2495 #define initAL4(x,y,z,w) AL4(x,y,z,w)
2496 #define initAU2(x,y) AU2(x,y)
2497 #define initAU3(x,y,z) AU3(x,y,z)
2498 #define initAU4(x,y,z,w) AU4(x,y,z,w)
2499////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2500////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2501//_____________________________________________________________/\_______________________________________________________________
2502//==============================================================================================================================
2503// SCALAR RETURN OPS
2504//==============================================================================================================================
2505 #define AAbsD1(a) abs(AD1(a))
2506 #define AAbsF1(a) abs(AF1(a))
2507//------------------------------------------------------------------------------------------------------------------------------
2508 #define ACosD1(a) cos(AD1(a))
2509 #define ACosF1(a) cos(AF1(a))
2510//------------------------------------------------------------------------------------------------------------------------------
2511 #define ADotD2(a,b) dot(AD2(a),AD2(b))
2512 #define ADotD3(a,b) dot(AD3(a),AD3(b))
2513 #define ADotD4(a,b) dot(AD4(a),AD4(b))
2514 #define ADotF2(a,b) dot(AF2(a),AF2(b))
2515 #define ADotF3(a,b) dot(AF3(a),AF3(b))
2516 #define ADotF4(a,b) dot(AF4(a),AF4(b))
2517//------------------------------------------------------------------------------------------------------------------------------
2518 #define AExp2D1(a) exp2(AD1(a))
2519 #define AExp2F1(a) exp2(AF1(a))
2520//------------------------------------------------------------------------------------------------------------------------------
2521 #define AFloorD1(a) floor(AD1(a))
2522 #define AFloorF1(a) floor(AF1(a))
2523//------------------------------------------------------------------------------------------------------------------------------
2524 #define ALog2D1(a) log2(AD1(a))
2525 #define ALog2F1(a) log2(AF1(a))
2526//------------------------------------------------------------------------------------------------------------------------------
2527 #define AMaxD1(a,b) max(a,b)
2528 #define AMaxF1(a,b) max(a,b)
2529 #define AMaxL1(a,b) max(a,b)
2530 #define AMaxU1(a,b) max(a,b)
2531//------------------------------------------------------------------------------------------------------------------------------
2532 #define AMinD1(a,b) min(a,b)
2533 #define AMinF1(a,b) min(a,b)
2534 #define AMinL1(a,b) min(a,b)
2535 #define AMinU1(a,b) min(a,b)
2536//------------------------------------------------------------------------------------------------------------------------------
2537 #define ASinD1(a) sin(AD1(a))
2538 #define ASinF1(a) sin(AF1(a))
2539//------------------------------------------------------------------------------------------------------------------------------
2540 #define ASqrtD1(a) sqrt(AD1(a))
2541 #define ASqrtF1(a) sqrt(AF1(a))
2542////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2543////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2544//_____________________________________________________________/\_______________________________________________________________
2545//==============================================================================================================================
2546// SCALAR RETURN OPS - DEPENDENT
2547//==============================================================================================================================
2548 #define APowD1(a,b) pow(AD1(a),AF1(b))
2549 #define APowF1(a,b) pow(AF1(a),AF1(b))
2550////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2551////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
2552//_____________________________________________________________/\_______________________________________________________________
2553//==============================================================================================================================
2554// VECTOR OPS
2555//------------------------------------------------------------------------------------------------------------------------------
2556// These are added as needed for production or prototyping, so not necessarily a complete set.
2557// They follow a convention of taking in a destination and also returning the destination value to increase utility.
2558//==============================================================================================================================
2559 #ifdef A_DUBL
2560 AD2 opAAbsD2(outAD2 d,inAD2 a){d=abs(a);return d;}
2561 AD3 opAAbsD3(outAD3 d,inAD3 a){d=abs(a);return d;}
2562 AD4 opAAbsD4(outAD4 d,inAD4 a){d=abs(a);return d;}
2563//------------------------------------------------------------------------------------------------------------------------------
2564 AD2 opAAddD2(outAD2 d,inAD2 a,inAD2 b){d=a+b;return d;}
2565 AD3 opAAddD3(outAD3 d,inAD3 a,inAD3 b){d=a+b;return d;}
2566 AD4 opAAddD4(outAD4 d,inAD4 a,inAD4 b){d=a+b;return d;}
2567//------------------------------------------------------------------------------------------------------------------------------
2568 AD2 opAAddOneD2(outAD2 d,inAD2 a,AD1 b){d=a+AD2_(b);return d;}
2569 AD3 opAAddOneD3(outAD3 d,inAD3 a,AD1 b){d=a+AD3_(b);return d;}
2570 AD4 opAAddOneD4(outAD4 d,inAD4 a,AD1 b){d=a+AD4_(b);return d;}
2571//------------------------------------------------------------------------------------------------------------------------------
2572 AD2 opACpyD2(outAD2 d,inAD2 a){d=a;return d;}
2573 AD3 opACpyD3(outAD3 d,inAD3 a){d=a;return d;}
2574 AD4 opACpyD4(outAD4 d,inAD4 a){d=a;return d;}
2575//------------------------------------------------------------------------------------------------------------------------------
2576 AD2 opALerpD2(outAD2 d,inAD2 a,inAD2 b,inAD2 c){d=ALerpD2(a,b,c);return d;}
2577 AD3 opALerpD3(outAD3 d,inAD3 a,inAD3 b,inAD3 c){d=ALerpD3(a,b,c);return d;}
2578 AD4 opALerpD4(outAD4 d,inAD4 a,inAD4 b,inAD4 c){d=ALerpD4(a,b,c);return d;}
2579//------------------------------------------------------------------------------------------------------------------------------
2580 AD2 opALerpOneD2(outAD2 d,inAD2 a,inAD2 b,AD1 c){d=ALerpD2(a,b,AD2_(c));return d;}
2581 AD3 opALerpOneD3(outAD3 d,inAD3 a,inAD3 b,AD1 c){d=ALerpD3(a,b,AD3_(c));return d;}
2582 AD4 opALerpOneD4(outAD4 d,inAD4 a,inAD4 b,AD1 c){d=ALerpD4(a,b,AD4_(c));return d;}
2583//------------------------------------------------------------------------------------------------------------------------------
2584 AD2 opAMaxD2(outAD2 d,inAD2 a,inAD2 b){d=max(a,b);return d;}
2585 AD3 opAMaxD3(outAD3 d,inAD3 a,inAD3 b){d=max(a,b);return d;}
2586 AD4 opAMaxD4(outAD4 d,inAD4 a,inAD4 b){d=max(a,b);return d;}
2587//------------------------------------------------------------------------------------------------------------------------------
2588 AD2 opAMinD2(outAD2 d,inAD2 a,inAD2 b){d=min(a,b);return d;}
2589 AD3 opAMinD3(outAD3 d,inAD3 a,inAD3 b){d=min(a,b);return d;}
2590 AD4 opAMinD4(outAD4 d,inAD4 a,inAD4 b){d=min(a,b);return d;}
2591//------------------------------------------------------------------------------------------------------------------------------
2592 AD2 opAMulD2(outAD2 d,inAD2 a,inAD2 b){d=a*b;return d;}
2593 AD3 opAMulD3(outAD3 d,inAD3 a,inAD3 b){d=a*b;return d;}
2594 AD4 opAMulD4(outAD4 d,inAD4 a,inAD4 b){d=a*b;return d;}
2595//------------------------------------------------------------------------------------------------------------------------------
2596 AD2 opAMulOneD2(outAD2 d,inAD2 a,AD1 b){d=a*AD2_(b);return d;}
2597 AD3 opAMulOneD3(outAD3 d,inAD3 a,AD1 b){d=a*AD3_(b);return d;}
2598 AD4 opAMulOneD4(outAD4 d,inAD4 a,AD1 b){d=a*AD4_(b);return d;}
2599//------------------------------------------------------------------------------------------------------------------------------
2600 AD2 opANegD2(outAD2 d,inAD2 a){d=-a;return d;}
2601 AD3 opANegD3(outAD3 d,inAD3 a){d=-a;return d;}
2602 AD4 opANegD4(outAD4 d,inAD4 a){d=-a;return d;}
2603//------------------------------------------------------------------------------------------------------------------------------
2604 AD2 opARcpD2(outAD2 d,inAD2 a){d=ARcpD2(a);return d;}
2605 AD3 opARcpD3(outAD3 d,inAD3 a){d=ARcpD3(a);return d;}
2606 AD4 opARcpD4(outAD4 d,inAD4 a){d=ARcpD4(a);return d;}
2607 #endif
2608//==============================================================================================================================
2609 AF2 opAAbsF2(outAF2 d,inAF2 a){d=abs(a);return d;}
2610 AF3 opAAbsF3(outAF3 d,inAF3 a){d=abs(a);return d;}
2611 AF4 opAAbsF4(outAF4 d,inAF4 a){d=abs(a);return d;}
2612//------------------------------------------------------------------------------------------------------------------------------
2613 AF2 opAAddF2(outAF2 d,inAF2 a,inAF2 b){d=a+b;return d;}
2614 AF3 opAAddF3(outAF3 d,inAF3 a,inAF3 b){d=a+b;return d;}
2615 AF4 opAAddF4(outAF4 d,inAF4 a,inAF4 b){d=a+b;return d;}
2616//------------------------------------------------------------------------------------------------------------------------------
2617 AF2 opAAddOneF2(outAF2 d,inAF2 a,AF1 b){d=a+AF2_(b);return d;}
2618 AF3 opAAddOneF3(outAF3 d,inAF3 a,AF1 b){d=a+AF3_(b);return d;}
2619 AF4 opAAddOneF4(outAF4 d,inAF4 a,AF1 b){d=a+AF4_(b);return d;}
2620//------------------------------------------------------------------------------------------------------------------------------
2621 AF2 opACpyF2(outAF2 d,inAF2 a){d=a;return d;}
2622 AF3 opACpyF3(outAF3 d,inAF3 a){d=a;return d;}
2623 AF4 opACpyF4(outAF4 d,inAF4 a){d=a;return d;}
2624//------------------------------------------------------------------------------------------------------------------------------
2625 AF2 opALerpF2(outAF2 d,inAF2 a,inAF2 b,inAF2 c){d=ALerpF2(a,b,c);return d;}
2626 AF3 opALerpF3(outAF3 d,inAF3 a,inAF3 b,inAF3 c){d=ALerpF3(a,b,c);return d;}
2627 AF4 opALerpF4(outAF4 d,inAF4 a,inAF4 b,inAF4 c){d=ALerpF4(a,b,c);return d;}
2628//------------------------------------------------------------------------------------------------------------------------------
2629 AF2 opALerpOneF2(outAF2 d,inAF2 a,inAF2 b,AF1 c){d=ALerpF2(a,b,AF2_(c));return d;}
2630 AF3 opALerpOneF3(outAF3 d,inAF3 a,inAF3 b,AF1 c){d=ALerpF3(a,b,AF3_(c));return d;}
2631 AF4 opALerpOneF4(outAF4 d,inAF4 a,inAF4 b,AF1 c){d=ALerpF4(a,b,AF4_(c));return d;}
2632//------------------------------------------------------------------------------------------------------------------------------
2633 AF2 opAMaxF2(outAF2 d,inAF2 a,inAF2 b){d=max(a,b);return d;}
2634 AF3 opAMaxF3(outAF3 d,inAF3 a,inAF3 b){d=max(a,b);return d;}
2635 AF4 opAMaxF4(outAF4 d,inAF4 a,inAF4 b){d=max(a,b);return d;}
2636//------------------------------------------------------------------------------------------------------------------------------
2637 AF2 opAMinF2(outAF2 d,inAF2 a,inAF2 b){d=min(a,b);return d;}
2638 AF3 opAMinF3(outAF3 d,inAF3 a,inAF3 b){d=min(a,b);return d;}
2639 AF4 opAMinF4(outAF4 d,inAF4 a,inAF4 b){d=min(a,b);return d;}
2640//------------------------------------------------------------------------------------------------------------------------------
2641 AF2 opAMulF2(outAF2 d,inAF2 a,inAF2 b){d=a*b;return d;}
2642 AF3 opAMulF3(outAF3 d,inAF3 a,inAF3 b){d=a*b;return d;}
2643 AF4 opAMulF4(outAF4 d,inAF4 a,inAF4 b){d=a*b;return d;}
2644//------------------------------------------------------------------------------------------------------------------------------
2645 AF2 opAMulOneF2(outAF2 d,inAF2 a,AF1 b){d=a*AF2_(b);return d;}
2646 AF3 opAMulOneF3(outAF3 d,inAF3 a,AF1 b){d=a*AF3_(b);return d;}
2647 AF4 opAMulOneF4(outAF4 d,inAF4 a,AF1 b){d=a*AF4_(b);return d;}
2648//------------------------------------------------------------------------------------------------------------------------------
2649 AF2 opANegF2(outAF2 d,inAF2 a){d=-a;return d;}
2650 AF3 opANegF3(outAF3 d,inAF3 a){d=-a;return d;}
2651 AF4 opANegF4(outAF4 d,inAF4 a){d=-a;return d;}
2652//------------------------------------------------------------------------------------------------------------------------------
2653 AF2 opARcpF2(outAF2 d,inAF2 a){d=ARcpF2(a);return d;}
2654 AF3 opARcpF3(outAF3 d,inAF3 a){d=ARcpF3(a);return d;}
2655 AF4 opARcpF4(outAF4 d,inAF4 a){d=ARcpF4(a);return d;}
2656#endif