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1 // SPDX-License-Identifier: Apache-2.0
2 // ----------------------------------------------------------------------------
3 // Copyright 2020-2021 Arm Limited
4 //
5 // Licensed under the Apache License, Version 2.0 (the "License"); you may not
6 // use this file except in compliance with the License. You may obtain a copy
7 // of the License at:
8 //
9 //     http://www.apache.org/licenses/LICENSE-2.0
10 //
11 // Unless required by applicable law or agreed to in writing, software
12 // distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
13 // WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
14 // License for the specific language governing permissions and limitations
15 // under the License.
16 // ----------------------------------------------------------------------------
17 
18 /**
19  * @brief Generic 4x32-bit vector functions.
20  *
21  * This module implements generic 4-wide vector functions that are valid for
22  * all instruction sets, typically implemented using lower level 4-wide
23  * operations that are ISA-specific.
24  */
25 
26 #ifndef ASTC_VECMATHLIB_COMMON_4_H_INCLUDED
27 #define ASTC_VECMATHLIB_COMMON_4_H_INCLUDED
28 
29 #ifndef ASTCENC_SIMD_INLINE
30 	#error "Include astcenc_vecmathlib.h, do not include directly"
31 #endif
32 
33 #include <cstdio>
34 
35 // ============================================================================
36 // vmask4 operators and functions
37 // ============================================================================
38 
39 /**
40  * @brief True if any lanes are enabled, false otherwise.
41  */
any(vmask4 a)42 ASTCENC_SIMD_INLINE bool any(vmask4 a)
43 {
44 	return mask(a) != 0;
45 }
46 
47 /**
48  * @brief True if all lanes are enabled, false otherwise.
49  */
all(vmask4 a)50 ASTCENC_SIMD_INLINE bool all(vmask4 a)
51 {
52 	return mask(a) == 0xF;
53 }
54 
55 // ============================================================================
56 // vint4 operators and functions
57 // ============================================================================
58 
59 /**
60  * @brief Overload: vector by scalar addition.
61  */
62 ASTCENC_SIMD_INLINE vint4 operator+(vint4 a, int b)
63 {
64 	return a + vint4(b);
65 }
66 
67 /**
68  * @brief Overload: vector by vector incremental addition.
69  */
70 ASTCENC_SIMD_INLINE vint4& operator+=(vint4& a, const vint4& b)
71 {
72 	a = a + b;
73 	return a;
74 }
75 
76 /**
77  * @brief Overload: vector by scalar subtraction.
78  */
79 ASTCENC_SIMD_INLINE vint4 operator-(vint4 a, int b)
80 {
81 	return a - vint4(b);
82 }
83 
84 /**
85  * @brief Overload: vector by scalar multiplication.
86  */
87 ASTCENC_SIMD_INLINE vint4 operator*(vint4 a, int b)
88 {
89 	return a * vint4(b);
90 }
91 
92 /**
93  * @brief Overload: vector by scalar bitwise or.
94  */
95 ASTCENC_SIMD_INLINE vint4 operator|(vint4 a, int b)
96 {
97 	return a | vint4(b);
98 }
99 
100 /**
101  * @brief Overload: vector by scalar bitwise and.
102  */
103 ASTCENC_SIMD_INLINE vint4 operator&(vint4 a, int b)
104 {
105 	return a & vint4(b);
106 }
107 
108 /**
109  * @brief Overload: vector by scalar bitwise xor.
110  */
111 ASTCENC_SIMD_INLINE vint4 operator^(vint4 a, int b)
112 {
113 	return a ^ vint4(b);
114 }
115 
116 /**
117  * @brief Return the clamped value between min and max.
118  */
clamp(int minv,int maxv,vint4 a)119 ASTCENC_SIMD_INLINE vint4 clamp(int minv, int maxv, vint4 a)
120 {
121 	return min(max(a, vint4(minv)), vint4(maxv));
122 }
123 
124 /**
125  * @brief Return the horizontal sum of RGB vector lanes as a scalar.
126  */
hadd_rgb_s(vint4 a)127 ASTCENC_SIMD_INLINE int hadd_rgb_s(vint4 a)
128 {
129 	return a.lane<0>() + a.lane<1>() + a.lane<2>();
130 }
131 
132 // ============================================================================
133 // vfloat4 operators and functions
134 // ============================================================================
135 
136 /**
137  * @brief Overload: vector by vector incremental addition.
138  */
139 ASTCENC_SIMD_INLINE vfloat4& operator+=(vfloat4& a, const vfloat4& b)
140 {
141 	a = a + b;
142 	return a;
143 }
144 
145 /**
146  * @brief Overload: vector by scalar addition.
147  */
148 ASTCENC_SIMD_INLINE vfloat4 operator+(vfloat4 a, float b)
149 {
150 	return a + vfloat4(b);
151 }
152 
153 /**
154  * @brief Overload: vector by scalar subtraction.
155  */
156 ASTCENC_SIMD_INLINE vfloat4 operator-(vfloat4 a, float b)
157 {
158 	return a - vfloat4(b);
159 }
160 
161 /**
162  * @brief Overload: vector by scalar multiplication.
163  */
164 ASTCENC_SIMD_INLINE vfloat4 operator*(vfloat4 a, float b)
165 {
166 	return a * vfloat4(b);
167 }
168 
169 /**
170  * @brief Overload: scalar by vector multiplication.
171  */
172 ASTCENC_SIMD_INLINE vfloat4 operator*(float a, vfloat4 b)
173 {
174 	return vfloat4(a) * b;
175 }
176 
177 /**
178  * @brief Overload: vector by scalar division.
179  */
180 ASTCENC_SIMD_INLINE vfloat4 operator/(vfloat4 a, float b)
181 {
182 	return a / vfloat4(b);
183 }
184 
185 /**
186  * @brief Overload: scalar by vector division.
187  */
188 ASTCENC_SIMD_INLINE vfloat4 operator/(float a, vfloat4 b)
189 {
190 	return vfloat4(a) / b;
191 }
192 
193 /**
194  * @brief Return the min vector of a vector and a scalar.
195  *
196  * If either lane value is NaN, @c b will be returned for that lane.
197  */
min(vfloat4 a,float b)198 ASTCENC_SIMD_INLINE vfloat4 min(vfloat4 a, float b)
199 {
200 	return min(a, vfloat4(b));
201 }
202 
203 /**
204  * @brief Return the max vector of a vector and a scalar.
205  *
206  * If either lane value is NaN, @c b will be returned for that lane.
207  */
max(vfloat4 a,float b)208 ASTCENC_SIMD_INLINE vfloat4 max(vfloat4 a, float b)
209 {
210 	return max(a, vfloat4(b));
211 }
212 
213 /**
214  * @brief Return the clamped value between min and max.
215  *
216  * It is assumed that neither @c min nor @c max are NaN values. If @c a is NaN
217  * then @c min will be returned for that lane.
218  */
clamp(float minv,float maxv,vfloat4 a)219 ASTCENC_SIMD_INLINE vfloat4 clamp(float minv, float maxv, vfloat4 a)
220 {
221 	// Do not reorder - second operand will return if either is NaN
222 	return min(max(a, minv), maxv);
223 }
224 
225 /**
226  * @brief Return the clamped value between 0.0f and max.
227  *
228  * It is assumed that  @c max is not a NaN value. If @c a is NaN then zero will
229  * be returned for that lane.
230  */
clampz(float maxv,vfloat4 a)231 ASTCENC_SIMD_INLINE vfloat4 clampz(float maxv, vfloat4 a)
232 {
233 	// Do not reorder - second operand will return if either is NaN
234 	return min(max(a, vfloat4::zero()), maxv);
235 }
236 
237 /**
238  * @brief Return the clamped value between 0.0f and 1.0f.
239  *
240  * If @c a is NaN then zero will be returned for that lane.
241  */
clampzo(vfloat4 a)242 ASTCENC_SIMD_INLINE vfloat4 clampzo(vfloat4 a)
243 {
244 	// Do not reorder - second operand will return if either is NaN
245 	return min(max(a, vfloat4::zero()), 1.0f);
246 }
247 
248 /**
249  * @brief Return the horizontal minimum of a vector.
250  */
hmin_s(vfloat4 a)251 ASTCENC_SIMD_INLINE float hmin_s(vfloat4 a)
252 {
253 	return hmin(a).lane<0>();
254 }
255 
256 /**
257  * @brief Return the horizontal min of RGB vector lanes as a scalar.
258  */
hmin_rgb_s(vfloat4 a)259 ASTCENC_SIMD_INLINE float hmin_rgb_s(vfloat4 a)
260 {
261 	a.set_lane<3>(a.lane<0>());
262 	return hmin_s(a);
263 }
264 
265 /**
266  * @brief Return the horizontal maximum of a vector.
267  */
hmax_s(vfloat4 a)268 ASTCENC_SIMD_INLINE float hmax_s(vfloat4 a)
269 {
270 	return hmax(a).lane<0>();
271 }
272 
273 /**
274  * @brief Accumulate lane-wise sums for a vector.
275  */
haccumulate(vfloat4 & accum,vfloat4 a)276 ASTCENC_SIMD_INLINE void haccumulate(vfloat4& accum, vfloat4 a)
277 {
278 	accum = accum + a;
279 }
280 
281 /**
282  * @brief Accumulate lane-wise sums for a masked vector.
283  */
haccumulate(vfloat4 & accum,vfloat4 a,vmask4 m)284 ASTCENC_SIMD_INLINE void haccumulate(vfloat4& accum, vfloat4 a, vmask4 m)
285 {
286 	a = select(vfloat4::zero(), a, m);
287 	haccumulate(accum, a);
288 }
289 
290 /**
291  * @brief Return the horizontal sum of RGB vector lanes as a scalar.
292  */
hadd_rgb_s(vfloat4 a)293 ASTCENC_SIMD_INLINE float hadd_rgb_s(vfloat4 a)
294 {
295 	return a.lane<0>() + a.lane<1>() + a.lane<2>();
296 }
297 
298 #if !defined(ASTCENC_USE_NATIVE_DOT_PRODUCT)
299 
300 /**
301  * @brief Return the dot product for the full 4 lanes, returning scalar.
302  */
dot_s(vfloat4 a,vfloat4 b)303 ASTCENC_SIMD_INLINE float dot_s(vfloat4 a, vfloat4 b)
304 {
305 	vfloat4 m = a * b;
306 	return hadd_s(m);
307 }
308 
309 /**
310  * @brief Return the dot product for the full 4 lanes, returning vector.
311  */
dot(vfloat4 a,vfloat4 b)312 ASTCENC_SIMD_INLINE vfloat4 dot(vfloat4 a, vfloat4 b)
313 {
314 	vfloat4 m = a * b;
315 	return vfloat4(hadd_s(m));
316 }
317 
318 /**
319  * @brief Return the dot product for the bottom 3 lanes, returning scalar.
320  */
dot3_s(vfloat4 a,vfloat4 b)321 ASTCENC_SIMD_INLINE float dot3_s(vfloat4 a, vfloat4 b)
322 {
323 	vfloat4 m = a * b;
324 	return hadd_rgb_s(m);
325 }
326 
327 /**
328  * @brief Return the dot product for the bottom 3 lanes, returning vector.
329  */
dot3(vfloat4 a,vfloat4 b)330 ASTCENC_SIMD_INLINE vfloat4 dot3(vfloat4 a, vfloat4 b)
331 {
332 	vfloat4 m = a * b;
333 	float d3 = hadd_rgb_s(m);
334 	return vfloat4(d3, d3, d3, 0.0f);
335 }
336 
337 #endif
338 
339 #if !defined(ASTCENC_USE_NATIVE_POPCOUNT)
340 
341 /**
342  * @brief Population bit count.
343  *
344  * @param v   The value to population count.
345  *
346  * @return The number of 1 bits.
347  */
popcount(uint64_t v)348 static inline int popcount(uint64_t v)
349 {
350 	uint64_t mask1 = 0x5555555555555555ULL;
351 	uint64_t mask2 = 0x3333333333333333ULL;
352 	uint64_t mask3 = 0x0F0F0F0F0F0F0F0FULL;
353 	v -= (v >> 1) & mask1;
354 	v = (v & mask2) + ((v >> 2) & mask2);
355 	v += v >> 4;
356 	v &= mask3;
357 	v *= 0x0101010101010101ULL;
358 	v >>= 56;
359 	return static_cast<int>(v);
360 }
361 
362 #endif
363 
364 /**
365  * @brief Apply signed bit transfer.
366  *
367  * @param input0   The first encoded endpoint.
368  * @param input1   The second encoded endpoint.
369  */
bit_transfer_signed(vint4 & input0,vint4 & input1)370 static ASTCENC_SIMD_INLINE void bit_transfer_signed(
371 	vint4& input0,
372 	vint4& input1
373 ) {
374 	input1 = lsr<1>(input1) | (input0 & 0x80);
375 	input0 = lsr<1>(input0) & 0x3F;
376 
377 	vmask4 mask = (input0 & 0x20) != vint4::zero();
378 	input0 = select(input0, input0 - 0x40, mask);
379 }
380 
381 /**
382  * @brief Debug function to print a vector of ints.
383  */
print(vint4 a)384 ASTCENC_SIMD_INLINE void print(vint4 a)
385 {
386 	alignas(16) int v[4];
387 	storea(a, v);
388 	printf("v4_i32:\n  %8d %8d %8d %8d\n",
389 	       v[0], v[1], v[2], v[3]);
390 }
391 
392 /**
393  * @brief Debug function to print a vector of ints.
394  */
printx(vint4 a)395 ASTCENC_SIMD_INLINE void printx(vint4 a)
396 {
397 	alignas(16) int v[4];
398 	storea(a, v);
399 	printf("v4_i32:\n  %08x %08x %08x %08x\n",
400 	       v[0], v[1], v[2], v[3]);
401 }
402 
403 /**
404  * @brief Debug function to print a vector of floats.
405  */
print(vfloat4 a)406 ASTCENC_SIMD_INLINE void print(vfloat4 a)
407 {
408 	alignas(16) float v[4];
409 	storea(a, v);
410 	printf("v4_f32:\n  %0.4f %0.4f %0.4f %0.4f\n",
411 	       static_cast<double>(v[0]), static_cast<double>(v[1]),
412 	       static_cast<double>(v[2]), static_cast<double>(v[3]));
413 }
414 
415 /**
416  * @brief Debug function to print a vector of masks.
417  */
print(vmask4 a)418 ASTCENC_SIMD_INLINE void print(vmask4 a)
419 {
420 	print(select(vint4(0), vint4(1), a));
421 }
422 
423 #endif // #ifndef ASTC_VECMATHLIB_COMMON_4_H_INCLUDED
424