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1 // SPDX-License-Identifier: Apache-2.0
2 // ----------------------------------------------------------------------------
3 // Copyright 2011-2024 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 #if !defined(ASTCENC_DECOMPRESS_ONLY)
19 
20 /**
21  * @brief Functions for computing color endpoints and texel weights.
22  */
23 
24 #include <cassert>
25 
26 #include "astcenc_internal.h"
27 #include "astcenc_vecmathlib.h"
28 
29 /**
30  * @brief Compute the infilled weight for N texel indices in a decimated grid.
31  *
32  * @param di        The weight grid decimation to use.
33  * @param weights   The decimated weight values to use.
34  * @param index     The first texel index to interpolate.
35  *
36  * @return The interpolated weight for the given set of SIMD_WIDTH texels.
37  */
bilinear_infill_vla(const decimation_info & di,const float * weights,unsigned int index)38 static vfloat bilinear_infill_vla(
39 	const decimation_info& di,
40 	const float* weights,
41 	unsigned int index
42 ) {
43 	// Load the bilinear filter texel weight indexes in the decimated grid
44 	vint weight_idx0 = vint(di.texel_weights_tr[0] + index);
45 	vint weight_idx1 = vint(di.texel_weights_tr[1] + index);
46 	vint weight_idx2 = vint(di.texel_weights_tr[2] + index);
47 	vint weight_idx3 = vint(di.texel_weights_tr[3] + index);
48 
49 	// Load the bilinear filter weights from the decimated grid
50 	vfloat weight_val0 = gatherf(weights, weight_idx0);
51 	vfloat weight_val1 = gatherf(weights, weight_idx1);
52 	vfloat weight_val2 = gatherf(weights, weight_idx2);
53 	vfloat weight_val3 = gatherf(weights, weight_idx3);
54 
55 	// Load the weight contribution factors for each decimated weight
56 	vfloat tex_weight_float0 = loada(di.texel_weight_contribs_float_tr[0] + index);
57 	vfloat tex_weight_float1 = loada(di.texel_weight_contribs_float_tr[1] + index);
58 	vfloat tex_weight_float2 = loada(di.texel_weight_contribs_float_tr[2] + index);
59 	vfloat tex_weight_float3 = loada(di.texel_weight_contribs_float_tr[3] + index);
60 
61 	// Compute the bilinear interpolation to generate the per-texel weight
62 	return (weight_val0 * tex_weight_float0 + weight_val1 * tex_weight_float1) +
63 	       (weight_val2 * tex_weight_float2 + weight_val3 * tex_weight_float3);
64 }
65 
66 /**
67  * @brief Compute the infilled weight for N texel indices in a decimated grid.
68  *
69  * This is specialized version which computes only two weights per texel for
70  * encodings that are only decimated in a single axis.
71  *
72  * @param di        The weight grid decimation to use.
73  * @param weights   The decimated weight values to use.
74  * @param index     The first texel index to interpolate.
75  *
76  * @return The interpolated weight for the given set of SIMD_WIDTH texels.
77  */
bilinear_infill_vla_2(const decimation_info & di,const float * weights,unsigned int index)78 static vfloat bilinear_infill_vla_2(
79 	const decimation_info& di,
80 	const float* weights,
81 	unsigned int index
82 ) {
83 	// Load the bilinear filter texel weight indexes in the decimated grid
84 	vint weight_idx0 = vint(di.texel_weights_tr[0] + index);
85 	vint weight_idx1 = vint(di.texel_weights_tr[1] + index);
86 
87 	// Load the bilinear filter weights from the decimated grid
88 	vfloat weight_val0 = gatherf(weights, weight_idx0);
89 	vfloat weight_val1 = gatherf(weights, weight_idx1);
90 
91 	// Load the weight contribution factors for each decimated weight
92 	vfloat tex_weight_float0 = loada(di.texel_weight_contribs_float_tr[0] + index);
93 	vfloat tex_weight_float1 = loada(di.texel_weight_contribs_float_tr[1] + index);
94 
95 	// Compute the bilinear interpolation to generate the per-texel weight
96 	return (weight_val0 * tex_weight_float0 + weight_val1 * tex_weight_float1);
97 }
98 
99 /**
100  * @brief Compute the ideal endpoints and weights for 1 color component.
101  *
102  * @param      blk         The image block color data to compress.
103  * @param      pi          The partition info for the current trial.
104  * @param[out] ei          The computed ideal endpoints and weights.
105  * @param      component   The color component to compute.
106  */
compute_ideal_colors_and_weights_1_comp(const image_block & blk,const partition_info & pi,endpoints_and_weights & ei,unsigned int component)107 static void compute_ideal_colors_and_weights_1_comp(
108 	const image_block& blk,
109 	const partition_info& pi,
110 	endpoints_and_weights& ei,
111 	unsigned int component
112 ) {
113 	unsigned int partition_count = pi.partition_count;
114 	ei.ep.partition_count = partition_count;
115 	promise(partition_count > 0);
116 
117 	unsigned int texel_count = blk.texel_count;
118 	promise(texel_count > 0);
119 
120 	float error_weight;
121 	const float* data_vr = nullptr;
122 
123 	assert(component < BLOCK_MAX_COMPONENTS);
124 	switch (component)
125 	{
126 	case 0:
127 		error_weight = blk.channel_weight.lane<0>();
128 		data_vr = blk.data_r;
129 		break;
130 	case 1:
131 		error_weight = blk.channel_weight.lane<1>();
132 		data_vr = blk.data_g;
133 		break;
134 	case 2:
135 		error_weight = blk.channel_weight.lane<2>();
136 		data_vr = blk.data_b;
137 		break;
138 	default:
139 		assert(component == 3);
140 		error_weight = blk.channel_weight.lane<3>();
141 		data_vr = blk.data_a;
142 		break;
143 	}
144 
145 	vmask4 sep_mask = vint4::lane_id() == vint4(component);
146 	bool is_constant_wes { true };
147 	float partition0_len_sq { 0.0f };
148 
149 	for (unsigned int i = 0; i < partition_count; i++)
150 	{
151 		float lowvalue { 1e10f };
152 		float highvalue { -1e10f };
153 
154 		unsigned int partition_texel_count = pi.partition_texel_count[i];
155 		for (unsigned int j = 0; j < partition_texel_count; j++)
156 		{
157 			unsigned int tix = pi.texels_of_partition[i][j];
158 			float value = data_vr[tix];
159 			lowvalue = astc::min(value, lowvalue);
160 			highvalue = astc::max(value, highvalue);
161 		}
162 
163 		if (highvalue <= lowvalue)
164 		{
165 			lowvalue = 0.0f;
166 			highvalue = 1e-7f;
167 		}
168 
169 		float length = highvalue - lowvalue;
170 		float length_squared = length * length;
171 		float scale = 1.0f / length;
172 
173 		if (i == 0)
174 		{
175 			partition0_len_sq = length_squared;
176 		}
177 		else
178 		{
179 			is_constant_wes = is_constant_wes && length_squared == partition0_len_sq;
180 		}
181 
182 		for (unsigned int j = 0; j < partition_texel_count; j++)
183 		{
184 			unsigned int tix = pi.texels_of_partition[i][j];
185 			float value = (data_vr[tix] - lowvalue) * scale;
186 			value = astc::clamp1f(value);
187 
188 			ei.weights[tix] = value;
189 			ei.weight_error_scale[tix] = length_squared * error_weight;
190 			assert(!astc::isnan(ei.weight_error_scale[tix]));
191 		}
192 
193 		ei.ep.endpt0[i] = select(blk.data_min, vfloat4(lowvalue), sep_mask);
194 		ei.ep.endpt1[i] = select(blk.data_max, vfloat4(highvalue), sep_mask);
195 	}
196 
197 	// Zero initialize any SIMD over-fetch
198 	unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count);
199 	for (unsigned int i = texel_count; i < texel_count_simd; i++)
200 	{
201 		ei.weights[i] = 0.0f;
202 		ei.weight_error_scale[i] = 0.0f;
203 	}
204 
205 	ei.is_constant_weight_error_scale = is_constant_wes;
206 }
207 
208 /**
209  * @brief Compute the ideal endpoints and weights for 2 color components.
210  *
211  * @param      blk          The image block color data to compress.
212  * @param      pi           The partition info for the current trial.
213  * @param[out] ei           The computed ideal endpoints and weights.
214  * @param      component1   The first color component to compute.
215  * @param      component2   The second color component to compute.
216  */
compute_ideal_colors_and_weights_2_comp(const image_block & blk,const partition_info & pi,endpoints_and_weights & ei,int component1,int component2)217 static void compute_ideal_colors_and_weights_2_comp(
218 	const image_block& blk,
219 	const partition_info& pi,
220 	endpoints_and_weights& ei,
221 	int component1,
222 	int component2
223 ) {
224 	unsigned int partition_count = pi.partition_count;
225 	ei.ep.partition_count = partition_count;
226 	promise(partition_count > 0);
227 
228 	unsigned int texel_count = blk.texel_count;
229 	promise(texel_count > 0);
230 
231 	partition_metrics pms[BLOCK_MAX_PARTITIONS];
232 
233 	float error_weight;
234 	const float* data_vr = nullptr;
235 	const float* data_vg = nullptr;
236 
237 	if (component1 == 0 && component2 == 1)
238 	{
239 		error_weight = hadd_s(blk.channel_weight.swz<0, 1>()) / 2.0f;
240 
241 		data_vr = blk.data_r;
242 		data_vg = blk.data_g;
243 	}
244 	else if (component1 == 0 && component2 == 2)
245 	{
246 		error_weight = hadd_s(blk.channel_weight.swz<0, 2>()) / 2.0f;
247 
248 		data_vr = blk.data_r;
249 		data_vg = blk.data_b;
250 	}
251 	else // (component1 == 1 && component2 == 2)
252 	{
253 		assert(component1 == 1 && component2 == 2);
254 
255 		error_weight = hadd_s(blk.channel_weight.swz<1, 2>()) / 2.0f;
256 
257 		data_vr = blk.data_g;
258 		data_vg = blk.data_b;
259 	}
260 
261 	compute_avgs_and_dirs_2_comp(pi, blk, component1, component2, pms);
262 
263 	bool is_constant_wes { true };
264 	float partition0_len_sq { 0.0f };
265 
266 	vmask4 comp1_mask = vint4::lane_id() == vint4(component1);
267 	vmask4 comp2_mask = vint4::lane_id() == vint4(component2);
268 
269 	for (unsigned int i = 0; i < partition_count; i++)
270 	{
271 		vfloat4 dir = pms[i].dir;
272 		if (hadd_s(dir) < 0.0f)
273 		{
274 			dir = vfloat4::zero() - dir;
275 		}
276 
277 		line2 line { pms[i].avg, normalize_safe(dir, unit2()) };
278 		float lowparam { 1e10f };
279 		float highparam { -1e10f };
280 
281 		unsigned int partition_texel_count = pi.partition_texel_count[i];
282 		for (unsigned int j = 0; j < partition_texel_count; j++)
283 		{
284 			unsigned int tix = pi.texels_of_partition[i][j];
285 			vfloat4 point = vfloat2(data_vr[tix], data_vg[tix]);
286 			float param = dot_s(point - line.a, line.b);
287 			ei.weights[tix] = param;
288 
289 			lowparam = astc::min(param, lowparam);
290 			highparam = astc::max(param, highparam);
291 		}
292 
293 		// It is possible for a uniform-color partition to produce length=0;
294 		// this causes NaN issues so set to small value to avoid this problem
295 		if (highparam <= lowparam)
296 		{
297 			lowparam = 0.0f;
298 			highparam = 1e-7f;
299 		}
300 
301 		float length = highparam - lowparam;
302 		float length_squared = length * length;
303 		float scale = 1.0f / length;
304 
305 		if (i == 0)
306 		{
307 			partition0_len_sq = length_squared;
308 		}
309 		else
310 		{
311 			is_constant_wes = is_constant_wes && length_squared == partition0_len_sq;
312 		}
313 
314 		for (unsigned int j = 0; j < partition_texel_count; j++)
315 		{
316 			unsigned int tix = pi.texels_of_partition[i][j];
317 			float idx = (ei.weights[tix] - lowparam) * scale;
318 			idx = astc::clamp1f(idx);
319 
320 			ei.weights[tix] = idx;
321 			ei.weight_error_scale[tix] = length_squared * error_weight;
322 			assert(!astc::isnan(ei.weight_error_scale[tix]));
323 		}
324 
325 		vfloat4 lowvalue = line.a + line.b * lowparam;
326 		vfloat4 highvalue = line.a + line.b * highparam;
327 
328 		vfloat4 ep0 = select(blk.data_min, vfloat4(lowvalue.lane<0>()), comp1_mask);
329 		vfloat4 ep1 = select(blk.data_max, vfloat4(highvalue.lane<0>()), comp1_mask);
330 
331 		ei.ep.endpt0[i] = select(ep0, vfloat4(lowvalue.lane<1>()), comp2_mask);
332 		ei.ep.endpt1[i] = select(ep1, vfloat4(highvalue.lane<1>()), comp2_mask);
333 	}
334 
335 	// Zero initialize any SIMD over-fetch
336 	unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count);
337 	for (unsigned int i = texel_count; i < texel_count_simd; i++)
338 	{
339 		ei.weights[i] = 0.0f;
340 		ei.weight_error_scale[i] = 0.0f;
341 	}
342 
343 	ei.is_constant_weight_error_scale = is_constant_wes;
344 }
345 
346 /**
347  * @brief Compute the ideal endpoints and weights for 3 color components.
348  *
349  * @param      blk                 The image block color data to compress.
350  * @param      pi                  The partition info for the current trial.
351  * @param[out] ei                  The computed ideal endpoints and weights.
352  * @param      omitted_component   The color component excluded from the calculation.
353  */
compute_ideal_colors_and_weights_3_comp(const image_block & blk,const partition_info & pi,endpoints_and_weights & ei,unsigned int omitted_component)354 static void compute_ideal_colors_and_weights_3_comp(
355 	const image_block& blk,
356 	const partition_info& pi,
357 	endpoints_and_weights& ei,
358 	unsigned int omitted_component
359 ) {
360 	unsigned int partition_count = pi.partition_count;
361 	ei.ep.partition_count = partition_count;
362 	promise(partition_count > 0);
363 
364 	unsigned int texel_count = blk.texel_count;
365 	promise(texel_count > 0);
366 
367 	partition_metrics pms[BLOCK_MAX_PARTITIONS];
368 
369 	float error_weight;
370 	const float* data_vr = nullptr;
371 	const float* data_vg = nullptr;
372 	const float* data_vb = nullptr;
373 	if (omitted_component == 0)
374 	{
375 		error_weight = hadd_s(blk.channel_weight.swz<0, 1, 2>());
376 		data_vr = blk.data_g;
377 		data_vg = blk.data_b;
378 		data_vb = blk.data_a;
379 	}
380 	else if (omitted_component == 1)
381 	{
382 		error_weight = hadd_s(blk.channel_weight.swz<0, 2, 3>());
383 		data_vr = blk.data_r;
384 		data_vg = blk.data_b;
385 		data_vb = blk.data_a;
386 	}
387 	else if (omitted_component == 2)
388 	{
389 		error_weight = hadd_s(blk.channel_weight.swz<0, 1, 3>());
390 		data_vr = blk.data_r;
391 		data_vg = blk.data_g;
392 		data_vb = blk.data_a;
393 	}
394 	else
395 	{
396 		assert(omitted_component == 3);
397 
398 		error_weight = hadd_s(blk.channel_weight.swz<0, 1, 2>());
399 		data_vr = blk.data_r;
400 		data_vg = blk.data_g;
401 		data_vb = blk.data_b;
402 	}
403 
404 	error_weight = error_weight * (1.0f / 3.0f);
405 
406 	if (omitted_component == 3)
407 	{
408 		compute_avgs_and_dirs_3_comp_rgb(pi, blk, pms);
409 	}
410 	else
411 	{
412 		compute_avgs_and_dirs_3_comp(pi, blk, omitted_component, pms);
413 	}
414 
415 	bool is_constant_wes { true };
416 	float partition0_len_sq { 0.0f };
417 
418 	for (unsigned int i = 0; i < partition_count; i++)
419 	{
420 		vfloat4 dir = pms[i].dir;
421 		if (hadd_rgb_s(dir) < 0.0f)
422 		{
423 			dir = vfloat4::zero() - dir;
424 		}
425 
426 		line3 line { pms[i].avg, normalize_safe(dir, unit3()) };
427 		float lowparam { 1e10f };
428 		float highparam { -1e10f };
429 
430 		unsigned int partition_texel_count = pi.partition_texel_count[i];
431 		for (unsigned int j = 0; j < partition_texel_count; j++)
432 		{
433 			unsigned int tix = pi.texels_of_partition[i][j];
434 			vfloat4 point = vfloat3(data_vr[tix], data_vg[tix], data_vb[tix]);
435 			float param = dot3_s(point - line.a, line.b);
436 			ei.weights[tix] = param;
437 
438 			lowparam = astc::min(param, lowparam);
439 			highparam = astc::max(param, highparam);
440 		}
441 
442 		// It is possible for a uniform-color partition to produce length=0;
443 		// this causes NaN issues so set to small value to avoid this problem
444 		if (highparam <= lowparam)
445 		{
446 			lowparam = 0.0f;
447 			highparam = 1e-7f;
448 		}
449 
450 		float length = highparam - lowparam;
451 		float length_squared = length * length;
452 		float scale = 1.0f / length;
453 
454 		if (i == 0)
455 		{
456 			partition0_len_sq = length_squared;
457 		}
458 		else
459 		{
460 			is_constant_wes = is_constant_wes && length_squared == partition0_len_sq;
461 		}
462 
463 		for (unsigned int j = 0; j < partition_texel_count; j++)
464 		{
465 			unsigned int tix = pi.texels_of_partition[i][j];
466 			float idx = (ei.weights[tix] - lowparam) * scale;
467 			idx = astc::clamp1f(idx);
468 
469 			ei.weights[tix] = idx;
470 			ei.weight_error_scale[tix] = length_squared * error_weight;
471 			assert(!astc::isnan(ei.weight_error_scale[tix]));
472 		}
473 
474 		vfloat4 ep0 = line.a + line.b * lowparam;
475 		vfloat4 ep1 = line.a + line.b * highparam;
476 
477 		vfloat4 bmin = blk.data_min;
478 		vfloat4 bmax = blk.data_max;
479 
480 		assert(omitted_component < BLOCK_MAX_COMPONENTS);
481 		switch (omitted_component)
482 		{
483 			case 0:
484 				ei.ep.endpt0[i] = vfloat4(bmin.lane<0>(), ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>());
485 				ei.ep.endpt1[i] = vfloat4(bmax.lane<0>(), ep1.lane<0>(), ep1.lane<1>(), ep1.lane<2>());
486 				break;
487 			case 1:
488 				ei.ep.endpt0[i] = vfloat4(ep0.lane<0>(), bmin.lane<1>(), ep0.lane<1>(), ep0.lane<2>());
489 				ei.ep.endpt1[i] = vfloat4(ep1.lane<0>(), bmax.lane<1>(), ep1.lane<1>(), ep1.lane<2>());
490 				break;
491 			case 2:
492 				ei.ep.endpt0[i] = vfloat4(ep0.lane<0>(), ep0.lane<1>(), bmin.lane<2>(), ep0.lane<2>());
493 				ei.ep.endpt1[i] = vfloat4(ep1.lane<0>(), ep1.lane<1>(), bmax.lane<2>(), ep1.lane<2>());
494 				break;
495 			default:
496 				ei.ep.endpt0[i] = vfloat4(ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>(), bmin.lane<3>());
497 				ei.ep.endpt1[i] = vfloat4(ep1.lane<0>(), ep1.lane<1>(), ep1.lane<2>(), bmax.lane<3>());
498 				break;
499 		}
500 	}
501 
502 	// Zero initialize any SIMD over-fetch
503 	unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count);
504 	for (unsigned int i = texel_count; i < texel_count_simd; i++)
505 	{
506 		ei.weights[i] = 0.0f;
507 		ei.weight_error_scale[i] = 0.0f;
508 	}
509 
510 	ei.is_constant_weight_error_scale = is_constant_wes;
511 }
512 
513 /**
514  * @brief Compute the ideal endpoints and weights for 4 color components.
515  *
516  * @param      blk   The image block color data to compress.
517  * @param      pi    The partition info for the current trial.
518  * @param[out] ei    The computed ideal endpoints and weights.
519  */
compute_ideal_colors_and_weights_4_comp(const image_block & blk,const partition_info & pi,endpoints_and_weights & ei)520 static void compute_ideal_colors_and_weights_4_comp(
521 	const image_block& blk,
522 	const partition_info& pi,
523 	endpoints_and_weights& ei
524 ) {
525 	const float error_weight = hadd_s(blk.channel_weight) / 4.0f;
526 
527 	unsigned int partition_count = pi.partition_count;
528 
529 	unsigned int texel_count = blk.texel_count;
530 	promise(texel_count > 0);
531 	promise(partition_count > 0);
532 
533 	partition_metrics pms[BLOCK_MAX_PARTITIONS];
534 
535 	compute_avgs_and_dirs_4_comp(pi, blk, pms);
536 
537 	bool is_constant_wes { true };
538 	float partition0_len_sq { 0.0f };
539 
540 	for (unsigned int i = 0; i < partition_count; i++)
541 	{
542 		vfloat4 dir = pms[i].dir;
543 		if (hadd_rgb_s(dir) < 0.0f)
544 		{
545 			dir = vfloat4::zero() - dir;
546 		}
547 
548 		line4 line { pms[i].avg, normalize_safe(dir, unit4()) };
549 		float lowparam { 1e10f };
550 		float highparam { -1e10f };
551 
552 		unsigned int partition_texel_count = pi.partition_texel_count[i];
553 		for (unsigned int j = 0; j < partition_texel_count; j++)
554 		{
555 			unsigned int tix = pi.texels_of_partition[i][j];
556 			vfloat4 point = blk.texel(tix);
557 			float param = dot_s(point - line.a, line.b);
558 			ei.weights[tix] = param;
559 
560 			lowparam = astc::min(param, lowparam);
561 			highparam = astc::max(param, highparam);
562 		}
563 
564 		// It is possible for a uniform-color partition to produce length=0;
565 		// this causes NaN issues so set to small value to avoid this problem
566 		if (highparam <= lowparam)
567 		{
568 			lowparam = 0.0f;
569 			highparam = 1e-7f;
570 		}
571 
572 		float length = highparam - lowparam;
573 		float length_squared = length * length;
574 		float scale = 1.0f / length;
575 
576 		if (i == 0)
577 		{
578 			partition0_len_sq = length_squared;
579 		}
580 		else
581 		{
582 			is_constant_wes = is_constant_wes && length_squared == partition0_len_sq;
583 		}
584 
585 		ei.ep.endpt0[i] = line.a + line.b * lowparam;
586 		ei.ep.endpt1[i] = line.a + line.b * highparam;
587 
588 		for (unsigned int j = 0; j < partition_texel_count; j++)
589 		{
590 			unsigned int tix = pi.texels_of_partition[i][j];
591 			float idx = (ei.weights[tix] - lowparam) * scale;
592 			idx = astc::clamp1f(idx);
593 
594 			ei.weights[tix] = idx;
595 			ei.weight_error_scale[tix] = length_squared * error_weight;
596 			assert(!astc::isnan(ei.weight_error_scale[tix]));
597 		}
598 	}
599 
600 	// Zero initialize any SIMD over-fetch
601 	unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count);
602 	for (unsigned int i = texel_count; i < texel_count_simd; i++)
603 	{
604 		ei.weights[i] = 0.0f;
605 		ei.weight_error_scale[i] = 0.0f;
606 	}
607 
608 	ei.is_constant_weight_error_scale = is_constant_wes;
609 }
610 
611 /* See header for documentation. */
compute_ideal_colors_and_weights_1plane(const image_block & blk,const partition_info & pi,endpoints_and_weights & ei)612 void compute_ideal_colors_and_weights_1plane(
613 	const image_block& blk,
614 	const partition_info& pi,
615 	endpoints_and_weights& ei
616 ) {
617 	bool uses_alpha = !blk.is_constant_channel(3);
618 
619 	if (uses_alpha)
620 	{
621 		compute_ideal_colors_and_weights_4_comp(blk, pi, ei);
622 	}
623 	else
624 	{
625 		compute_ideal_colors_and_weights_3_comp(blk, pi, ei, 3);
626 	}
627 }
628 
629 /* See header for documentation. */
compute_ideal_colors_and_weights_2planes(const block_size_descriptor & bsd,const image_block & blk,unsigned int plane2_component,endpoints_and_weights & ei1,endpoints_and_weights & ei2)630 void compute_ideal_colors_and_weights_2planes(
631 	const block_size_descriptor& bsd,
632 	const image_block& blk,
633 	unsigned int plane2_component,
634 	endpoints_and_weights& ei1,
635 	endpoints_and_weights& ei2
636 ) {
637 	const auto& pi = bsd.get_partition_info(1, 0);
638 	bool uses_alpha = !blk.is_constant_channel(3);
639 
640 	assert(plane2_component < BLOCK_MAX_COMPONENTS);
641 	switch (plane2_component)
642 	{
643 	case 0: // Separate weights for red
644 		if (uses_alpha)
645 		{
646 			compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 0);
647 		}
648 		else
649 		{
650 			compute_ideal_colors_and_weights_2_comp(blk, pi, ei1, 1, 2);
651 		}
652 		compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 0);
653 		break;
654 
655 	case 1: // Separate weights for green
656 		if (uses_alpha)
657 		{
658 			compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 1);
659 		}
660 		else
661 		{
662 			compute_ideal_colors_and_weights_2_comp(blk, pi, ei1, 0, 2);
663 		}
664 		compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 1);
665 		break;
666 
667 	case 2: // Separate weights for blue
668 		if (uses_alpha)
669 		{
670 			compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 2);
671 		}
672 		else
673 		{
674 			compute_ideal_colors_and_weights_2_comp(blk, pi, ei1, 0, 1);
675 		}
676 		compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 2);
677 		break;
678 
679 	default: // Separate weights for alpha
680 		assert(uses_alpha);
681 		compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 3);
682 		compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 3);
683 		break;
684 	}
685 }
686 
687 /* See header for documentation. */
compute_error_of_weight_set_1plane(const endpoints_and_weights & eai,const decimation_info & di,const float * dec_weight_quant_uvalue)688 float compute_error_of_weight_set_1plane(
689 	const endpoints_and_weights& eai,
690 	const decimation_info& di,
691 	const float* dec_weight_quant_uvalue
692 ) {
693 	vfloatacc error_summav = vfloatacc::zero();
694 	unsigned int texel_count = di.texel_count;
695 	promise(texel_count > 0);
696 
697 	// Process SIMD-width chunks, safe to over-fetch - the extra space is zero initialized
698 	if (di.max_texel_weight_count > 2)
699 	{
700 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
701 		{
702 			// Compute the bilinear interpolation of the decimated weight grid
703 			vfloat current_values = bilinear_infill_vla(di, dec_weight_quant_uvalue, i);
704 
705 			// Compute the error between the computed value and the ideal weight
706 			vfloat actual_values = loada(eai.weights + i);
707 			vfloat diff = current_values - actual_values;
708 			vfloat significance = loada(eai.weight_error_scale + i);
709 			vfloat error = diff * diff * significance;
710 
711 			haccumulate(error_summav, error);
712 		}
713 	}
714 	else if (di.max_texel_weight_count > 1)
715 	{
716 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
717 		{
718 			// Compute the bilinear interpolation of the decimated weight grid
719 			vfloat current_values = bilinear_infill_vla_2(di, dec_weight_quant_uvalue, i);
720 
721 			// Compute the error between the computed value and the ideal weight
722 			vfloat actual_values = loada(eai.weights + i);
723 			vfloat diff = current_values - actual_values;
724 			vfloat significance = loada(eai.weight_error_scale + i);
725 			vfloat error = diff * diff * significance;
726 
727 			haccumulate(error_summav, error);
728 		}
729 	}
730 	else
731 	{
732 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
733 		{
734 			// Load the weight set directly, without interpolation
735 			vfloat current_values = loada(dec_weight_quant_uvalue + i);
736 
737 			// Compute the error between the computed value and the ideal weight
738 			vfloat actual_values = loada(eai.weights + i);
739 			vfloat diff = current_values - actual_values;
740 			vfloat significance = loada(eai.weight_error_scale + i);
741 			vfloat error = diff * diff * significance;
742 
743 			haccumulate(error_summav, error);
744 		}
745 	}
746 
747 	// Resolve the final scalar accumulator sum
748 	return hadd_s(error_summav);
749 }
750 
751 /* See header for documentation. */
compute_error_of_weight_set_2planes(const endpoints_and_weights & eai1,const endpoints_and_weights & eai2,const decimation_info & di,const float * dec_weight_quant_uvalue_plane1,const float * dec_weight_quant_uvalue_plane2)752 float compute_error_of_weight_set_2planes(
753 	const endpoints_and_weights& eai1,
754 	const endpoints_and_weights& eai2,
755 	const decimation_info& di,
756 	const float* dec_weight_quant_uvalue_plane1,
757 	const float* dec_weight_quant_uvalue_plane2
758 ) {
759 	vfloatacc error_summav = vfloatacc::zero();
760 	unsigned int texel_count = di.texel_count;
761 	promise(texel_count > 0);
762 
763 	// Process SIMD-width chunks, safe to over-fetch - the extra space is zero initialized
764 	if (di.max_texel_weight_count > 2)
765 	{
766 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
767 		{
768 			// Plane 1
769 			// Compute the bilinear interpolation of the decimated weight grid
770 			vfloat current_values1 = bilinear_infill_vla(di, dec_weight_quant_uvalue_plane1, i);
771 
772 			// Compute the error between the computed value and the ideal weight
773 			vfloat actual_values1 = loada(eai1.weights + i);
774 			vfloat diff = current_values1 - actual_values1;
775 			vfloat error1 = diff * diff * loada(eai1.weight_error_scale + i);
776 
777 			// Plane 2
778 			// Compute the bilinear interpolation of the decimated weight grid
779 			vfloat current_values2 = bilinear_infill_vla(di, dec_weight_quant_uvalue_plane2, i);
780 
781 			// Compute the error between the computed value and the ideal weight
782 			vfloat actual_values2 = loada(eai2.weights + i);
783 			diff = current_values2 - actual_values2;
784 			vfloat error2 = diff * diff * loada(eai2.weight_error_scale + i);
785 
786 			haccumulate(error_summav, error1 + error2);
787 		}
788 	}
789 	else if (di.max_texel_weight_count > 1)
790 	{
791 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
792 		{
793 			// Plane 1
794 			// Compute the bilinear interpolation of the decimated weight grid
795 			vfloat current_values1 = bilinear_infill_vla_2(di, dec_weight_quant_uvalue_plane1, i);
796 
797 			// Compute the error between the computed value and the ideal weight
798 			vfloat actual_values1 = loada(eai1.weights + i);
799 			vfloat diff = current_values1 - actual_values1;
800 			vfloat error1 = diff * diff * loada(eai1.weight_error_scale + i);
801 
802 			// Plane 2
803 			// Compute the bilinear interpolation of the decimated weight grid
804 			vfloat current_values2 = bilinear_infill_vla_2(di, dec_weight_quant_uvalue_plane2, i);
805 
806 			// Compute the error between the computed value and the ideal weight
807 			vfloat actual_values2 = loada(eai2.weights + i);
808 			diff = current_values2 - actual_values2;
809 			vfloat error2 = diff * diff * loada(eai2.weight_error_scale + i);
810 
811 			haccumulate(error_summav, error1 + error2);
812 		}
813 	}
814 	else
815 	{
816 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
817 		{
818 			// Plane 1
819 			// Load the weight set directly, without interpolation
820 			vfloat current_values1 = loada(dec_weight_quant_uvalue_plane1 + i);
821 
822 			// Compute the error between the computed value and the ideal weight
823 			vfloat actual_values1 = loada(eai1.weights + i);
824 			vfloat diff = current_values1 - actual_values1;
825 			vfloat error1 = diff * diff * loada(eai1.weight_error_scale + i);
826 
827 			// Plane 2
828 			// Load the weight set directly, without interpolation
829 			vfloat current_values2 = loada(dec_weight_quant_uvalue_plane2 + i);
830 
831 			// Compute the error between the computed value and the ideal weight
832 			vfloat actual_values2 = loada(eai2.weights + i);
833 			diff = current_values2 - actual_values2;
834 			vfloat error2 = diff * diff * loada(eai2.weight_error_scale + i);
835 
836 			haccumulate(error_summav, error1 + error2);
837 		}
838 	}
839 
840 	// Resolve the final scalar accumulator sum
841 	return hadd_s(error_summav);
842 }
843 
844 /* See header for documentation. */
compute_ideal_weights_for_decimation(const endpoints_and_weights & ei,const decimation_info & di,float * dec_weight_ideal_value)845 void compute_ideal_weights_for_decimation(
846 	const endpoints_and_weights& ei,
847 	const decimation_info& di,
848 	float* dec_weight_ideal_value
849 ) {
850 	unsigned int texel_count = di.texel_count;
851 	unsigned int weight_count = di.weight_count;
852 	bool is_direct = texel_count == weight_count;
853 	promise(texel_count > 0);
854 	promise(weight_count > 0);
855 
856 	// Ensure that the end of the output arrays that are used for SIMD paths later are filled so we
857 	// can safely run SIMD elsewhere without a loop tail. Note that this is always safe as weight
858 	// arrays always contain space for 64 elements
859 	unsigned int prev_weight_count_simd = round_down_to_simd_multiple_vla(weight_count - 1);
860 	storea(vfloat::zero(), dec_weight_ideal_value + prev_weight_count_simd);
861 
862 	// If we have a 1:1 mapping just shortcut the computation. Transfer enough to also copy the
863 	// zero-initialized SIMD over-fetch region
864 	if (is_direct)
865 	{
866 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
867 		{
868 			vfloat weight(ei.weights + i);
869 			storea(weight, dec_weight_ideal_value + i);
870 		}
871 
872 		return;
873 	}
874 
875 	// Otherwise compute an estimate and perform single refinement iteration
876 	ASTCENC_ALIGNAS float infilled_weights[BLOCK_MAX_TEXELS];
877 
878 	// Compute an initial average for each decimated weight
879 	bool constant_wes = ei.is_constant_weight_error_scale;
880 	vfloat weight_error_scale(ei.weight_error_scale[0]);
881 
882 	// This overshoots - this is OK as we initialize the array tails in the
883 	// decimation table structures to safe values ...
884 	for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH)
885 	{
886 		// Start with a small value to avoid div-by-zero later
887 		vfloat weight_weight(1e-10f);
888 		vfloat initial_weight = vfloat::zero();
889 
890 		// Accumulate error weighting of all the texels using this weight
891 		vint weight_texel_count(di.weight_texel_count + i);
892 		unsigned int max_texel_count = hmax(weight_texel_count).lane<0>();
893 		promise(max_texel_count > 0);
894 
895 		for (unsigned int j = 0; j < max_texel_count; j++)
896 		{
897 			vint texel(di.weight_texels_tr[j] + i);
898 			vfloat weight = loada(di.weights_texel_contribs_tr[j] + i);
899 
900 			if (!constant_wes)
901 			{
902 				weight_error_scale = gatherf(ei.weight_error_scale, texel);
903 			}
904 
905 			vfloat contrib_weight = weight * weight_error_scale;
906 
907 			weight_weight += contrib_weight;
908 			initial_weight += gatherf(ei.weights, texel) * contrib_weight;
909 		}
910 
911 		storea(initial_weight / weight_weight, dec_weight_ideal_value + i);
912 	}
913 
914 	// Populate the interpolated weight grid based on the initial average
915 	// Process SIMD-width texel coordinates at at time while we can. Safe to
916 	// over-process full SIMD vectors - the tail is zeroed.
917 	if (di.max_texel_weight_count <= 2)
918 	{
919 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
920 		{
921 			vfloat weight = bilinear_infill_vla_2(di, dec_weight_ideal_value, i);
922 			storea(weight, infilled_weights + i);
923 		}
924 	}
925 	else
926 	{
927 		for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH)
928 		{
929 			vfloat weight = bilinear_infill_vla(di, dec_weight_ideal_value, i);
930 			storea(weight, infilled_weights + i);
931 		}
932 	}
933 
934 	// Perform a single iteration of refinement
935 	// Empirically determined step size; larger values don't help but smaller drops image quality
936 	constexpr float stepsize = 0.25f;
937 	constexpr float chd_scale = -WEIGHTS_TEXEL_SUM;
938 
939 	for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH)
940 	{
941 		vfloat weight_val = loada(dec_weight_ideal_value + i);
942 
943 		// Accumulate error weighting of all the texels using this weight
944 		// Start with a small value to avoid div-by-zero later
945 		vfloat error_change0(1e-10f);
946 		vfloat error_change1(0.0f);
947 
948 		// Accumulate error weighting of all the texels using this weight
949 		vint weight_texel_count(di.weight_texel_count + i);
950 		unsigned int max_texel_count = hmax(weight_texel_count).lane<0>();
951 		promise(max_texel_count > 0);
952 
953 		for (unsigned int j = 0; j < max_texel_count; j++)
954 		{
955 			vint texel(di.weight_texels_tr[j] + i);
956 			vfloat contrib_weight = loada(di.weights_texel_contribs_tr[j] + i);
957 
958 			if (!constant_wes)
959 			{
960  				weight_error_scale = gatherf(ei.weight_error_scale, texel);
961 			}
962 
963 			vfloat scale = weight_error_scale * contrib_weight;
964 			vfloat old_weight = gatherf(infilled_weights, texel);
965 			vfloat ideal_weight = gatherf(ei.weights, texel);
966 
967 			error_change0 += contrib_weight * scale;
968 			error_change1 += (old_weight - ideal_weight) * scale;
969 		}
970 
971 		vfloat step = (error_change1 * chd_scale) / error_change0;
972 		step = clamp(-stepsize, stepsize, step);
973 
974 		// Update the weight; note this can store negative values
975 		storea(weight_val + step, dec_weight_ideal_value + i);
976 	}
977 }
978 
979 /* See header for documentation. */
compute_quantized_weights_for_decimation(const decimation_info & di,float low_bound,float high_bound,const float * dec_weight_ideal_value,float * weight_set_out,uint8_t * quantized_weight_set,quant_method quant_level)980 void compute_quantized_weights_for_decimation(
981 	const decimation_info& di,
982 	float low_bound,
983 	float high_bound,
984 	const float* dec_weight_ideal_value,
985 	float* weight_set_out,
986 	uint8_t* quantized_weight_set,
987 	quant_method quant_level
988 ) {
989 	int weight_count = di.weight_count;
990 	promise(weight_count > 0);
991 	const quant_and_transfer_table& qat = quant_and_xfer_tables[quant_level];
992 
993 	// The available quant levels, stored with a minus 1 bias
994 	static const float quant_levels_m1[12] {
995 		1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 7.0f, 9.0f, 11.0f, 15.0f, 19.0f, 23.0f, 31.0f
996 	};
997 
998 	vint steps_m1(get_quant_level(quant_level) - 1);
999 	float quant_level_m1 = quant_levels_m1[quant_level];
1000 
1001 	// Quantize the weight set using both the specified low/high bounds and standard 0..1 bounds
1002 
1003 	// TODO: Oddity to investigate; triggered by test in issue #265.
1004 	if (high_bound <= low_bound)
1005 	{
1006 		low_bound = 0.0f;
1007 		high_bound = 1.0f;
1008 	}
1009 
1010 	float rscale = high_bound - low_bound;
1011 	float scale = 1.0f / rscale;
1012 
1013 	float scaled_low_bound = low_bound * scale;
1014 	rscale *= 1.0f / 64.0f;
1015 
1016 	vfloat scalev(scale);
1017 	vfloat scaled_low_boundv(scaled_low_bound);
1018 	vfloat quant_level_m1v(quant_level_m1);
1019 	vfloat rscalev(rscale);
1020 	vfloat low_boundv(low_bound);
1021 
1022 	// This runs to the rounded-up SIMD size, which is safe as the loop tail is filled with known
1023 	// safe data in compute_ideal_weights_for_decimation and arrays are always 64 elements
1024 	if (get_quant_level(quant_level) <= 16)
1025 	{
1026 		vint4 tab0 = vint4::load(qat.quant_to_unquant);
1027 		vint tab0p;
1028 		vtable_prepare(tab0, tab0p);
1029 
1030 		for (int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH)
1031 		{
1032 			vfloat ix = loada(dec_weight_ideal_value + i) * scalev - scaled_low_boundv;
1033 			ix = clampzo(ix);
1034 
1035 			// Look up the two closest indexes and return the one that was closest
1036 			vfloat ix1 = ix * quant_level_m1v;
1037 
1038 			vint weightl = float_to_int(ix1);
1039 			vint weighth = min(weightl + vint(1), steps_m1);
1040 
1041 			vint ixli = vtable_8bt_32bi(tab0p, weightl);
1042 			vint ixhi = vtable_8bt_32bi(tab0p, weighth);
1043 
1044 			vfloat ixl = int_to_float(ixli);
1045 			vfloat ixh = int_to_float(ixhi);
1046 
1047 			vmask mask = (ixl + ixh) < (vfloat(128.0f) * ix);
1048 			vint weight = select(ixli, ixhi, mask);
1049 			ixl = select(ixl, ixh, mask);
1050 
1051 			// Invert the weight-scaling that was done initially
1052 			storea(ixl * rscalev + low_boundv, weight_set_out + i);
1053 			vint scn = pack_low_bytes(weight);
1054 			store_nbytes(scn, quantized_weight_set + i);
1055 		}
1056 	}
1057 	else
1058 	{
1059 		vint4 tab0 = vint4::load(qat.quant_to_unquant +  0);
1060 		vint4 tab1 = vint4::load(qat.quant_to_unquant + 16);
1061 		vint tab0p, tab1p;
1062 		vtable_prepare(tab0, tab1, tab0p, tab1p);
1063 
1064 		for (int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH)
1065 		{
1066 			vfloat ix = loada(dec_weight_ideal_value + i) * scalev - scaled_low_boundv;
1067 			ix = clampzo(ix);
1068 
1069 			// Look up the two closest indexes and return the one that was closest
1070 			vfloat ix1 = ix * quant_level_m1v;
1071 
1072 			vint weightl = float_to_int(ix1);
1073 			vint weighth = min(weightl + vint(1), steps_m1);
1074 
1075 			vint ixli = vtable_8bt_32bi(tab0p, tab1p, weightl);
1076 			vint ixhi = vtable_8bt_32bi(tab0p, tab1p, weighth);
1077 
1078 			vfloat ixl = int_to_float(ixli);
1079 			vfloat ixh = int_to_float(ixhi);
1080 
1081 			vmask mask = (ixl + ixh) < (vfloat(128.0f) * ix);
1082 			vint weight = select(ixli, ixhi, mask);
1083 			ixl = select(ixl, ixh, mask);
1084 
1085 			// Invert the weight-scaling that was done initially
1086 			storea(ixl * rscalev + low_boundv, weight_set_out + i);
1087 			vint scn = pack_low_bytes(weight);
1088 			store_nbytes(scn, quantized_weight_set + i);
1089 		}
1090 	}
1091 }
1092 
1093 /**
1094  * @brief Compute the RGB + offset for a HDR endpoint mode #7.
1095  *
1096  * Since the matrix needed has a regular structure we can simplify the inverse calculation. This
1097  * gives us ~24 multiplications vs. 96 for a generic inverse.
1098  *
1099  *  mat[0] = vfloat4(rgba_ws.x,      0.0f,      0.0f, wght_ws.x);
1100  *  mat[1] = vfloat4(     0.0f, rgba_ws.y,      0.0f, wght_ws.y);
1101  *  mat[2] = vfloat4(     0.0f,      0.0f, rgba_ws.z, wght_ws.z);
1102  *  mat[3] = vfloat4(wght_ws.x, wght_ws.y, wght_ws.z,      psum);
1103  *  mat = invert(mat);
1104  *
1105  * @param rgba_weight_sum     Sum of partition component error weights.
1106  * @param weight_weight_sum   Sum of partition component error weights * texel weight.
1107  * @param rgbq_sum            Sum of partition component error weights * texel weight * color data.
1108  * @param psum                Sum of RGB color weights * texel weight^2.
1109  */
compute_rgbo_vector(vfloat4 rgba_weight_sum,vfloat4 weight_weight_sum,vfloat4 rgbq_sum,float psum)1110 static inline vfloat4 compute_rgbo_vector(
1111 	vfloat4 rgba_weight_sum,
1112 	vfloat4 weight_weight_sum,
1113 	vfloat4 rgbq_sum,
1114 	float psum
1115 ) {
1116 	float X = rgba_weight_sum.lane<0>();
1117 	float Y = rgba_weight_sum.lane<1>();
1118 	float Z = rgba_weight_sum.lane<2>();
1119 	float P = weight_weight_sum.lane<0>();
1120 	float Q = weight_weight_sum.lane<1>();
1121 	float R = weight_weight_sum.lane<2>();
1122 	float S = psum;
1123 
1124 	float PP = P * P;
1125 	float QQ = Q * Q;
1126 	float RR = R * R;
1127 
1128 	float SZmRR = S * Z - RR;
1129 	float DT = SZmRR * Y - Z * QQ;
1130 	float YP = Y * P;
1131 	float QX = Q * X;
1132 	float YX = Y * X;
1133 	float mZYP = -Z * YP;
1134 	float mZQX = -Z * QX;
1135 	float mRYX = -R * YX;
1136 	float ZQP = Z * Q * P;
1137 	float RYP = R * YP;
1138 	float RQX = R * QX;
1139 
1140 	// Compute the reciprocal of matrix determinant
1141 	float rdet = 1.0f / (DT * X + mZYP * P);
1142 
1143 	// Actually compute the adjugate, and then apply 1/det separately
1144 	vfloat4 mat0(DT, ZQP, RYP, mZYP);
1145 	vfloat4 mat1(ZQP, SZmRR * X - Z * PP, RQX, mZQX);
1146 	vfloat4 mat2(RYP, RQX, (S * Y - QQ) * X - Y * PP, mRYX);
1147 	vfloat4 mat3(mZYP, mZQX, mRYX, Z * YX);
1148 	vfloat4 vect = rgbq_sum * rdet;
1149 
1150 	return vfloat4(dot_s(mat0, vect),
1151 	               dot_s(mat1, vect),
1152 	               dot_s(mat2, vect),
1153 	               dot_s(mat3, vect));
1154 }
1155 
1156 /* See header for documentation. */
recompute_ideal_colors_1plane(const image_block & blk,const partition_info & pi,const decimation_info & di,const uint8_t * dec_weights_uquant,endpoints & ep,vfloat4 rgbs_vectors[BLOCK_MAX_PARTITIONS],vfloat4 rgbo_vectors[BLOCK_MAX_PARTITIONS])1157 void recompute_ideal_colors_1plane(
1158 	const image_block& blk,
1159 	const partition_info& pi,
1160 	const decimation_info& di,
1161 	const uint8_t* dec_weights_uquant,
1162 	endpoints& ep,
1163 	vfloat4 rgbs_vectors[BLOCK_MAX_PARTITIONS],
1164 	vfloat4 rgbo_vectors[BLOCK_MAX_PARTITIONS]
1165 ) {
1166 	unsigned int weight_count = di.weight_count;
1167 	unsigned int total_texel_count = blk.texel_count;
1168 	unsigned int partition_count = pi.partition_count;
1169 
1170 	promise(weight_count > 0);
1171 	promise(total_texel_count > 0);
1172 	promise(partition_count > 0);
1173 
1174 	ASTCENC_ALIGNAS float dec_weight[BLOCK_MAX_WEIGHTS];
1175 	for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH)
1176 	{
1177 		vint unquant_value(dec_weights_uquant + i);
1178 		vfloat unquant_valuef = int_to_float(unquant_value) * vfloat(1.0f / 64.0f);
1179 		storea(unquant_valuef, dec_weight + i);
1180 	}
1181 
1182 	ASTCENC_ALIGNAS float undec_weight[BLOCK_MAX_TEXELS];
1183 	float* undec_weight_ref;
1184 	if (di.max_texel_weight_count == 1)
1185 	{
1186 		undec_weight_ref = dec_weight;
1187 	}
1188 	else if (di.max_texel_weight_count <= 2)
1189 	{
1190 		for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH)
1191 		{
1192 			vfloat weight = bilinear_infill_vla_2(di, dec_weight, i);
1193 			storea(weight, undec_weight + i);
1194 		}
1195 
1196 		undec_weight_ref = undec_weight;
1197 	}
1198 	else
1199 	{
1200 		for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH)
1201 		{
1202 			vfloat weight = bilinear_infill_vla(di, dec_weight, i);
1203 			storea(weight, undec_weight + i);
1204 		}
1205 
1206 		undec_weight_ref = undec_weight;
1207 	}
1208 
1209 	vfloat4 rgba_sum(blk.data_mean * static_cast<float>(blk.texel_count));
1210 
1211 	for (unsigned int i = 0; i < partition_count; i++)
1212 	{
1213 		unsigned int texel_count = pi.partition_texel_count[i];
1214 		const uint8_t *texel_indexes = pi.texels_of_partition[i];
1215 
1216 		// Only compute a partition mean if more than one partition
1217 		if (partition_count > 1)
1218 		{
1219 			rgba_sum = vfloat4::zero();
1220 			promise(texel_count > 0);
1221 			for (unsigned int j = 0; j < texel_count; j++)
1222 			{
1223 				unsigned int tix = texel_indexes[j];
1224 				rgba_sum += blk.texel(tix);
1225 			}
1226 		}
1227 
1228 		rgba_sum = rgba_sum * blk.channel_weight;
1229 		vfloat4 rgba_weight_sum = max(blk.channel_weight * static_cast<float>(texel_count), 1e-17f);
1230 		vfloat4 scale_dir = normalize((rgba_sum / rgba_weight_sum).swz<0, 1, 2>());
1231 
1232 		float scale_max = 0.0f;
1233 		float scale_min = 1e10f;
1234 
1235 		float wmin1 = 1.0f;
1236 		float wmax1 = 0.0f;
1237 
1238 		float left_sum_s = 0.0f;
1239 		float middle_sum_s = 0.0f;
1240 		float right_sum_s = 0.0f;
1241 
1242 		vfloat4 color_vec_x = vfloat4::zero();
1243 		vfloat4 color_vec_y = vfloat4::zero();
1244 
1245 		vfloat4 scale_vec = vfloat4::zero();
1246 
1247 		float weight_weight_sum_s = 1e-17f;
1248 
1249 		vfloat4 color_weight = blk.channel_weight;
1250 		float ls_weight = hadd_rgb_s(color_weight);
1251 
1252 		for (unsigned int j = 0; j < texel_count; j++)
1253 		{
1254 			unsigned int tix = texel_indexes[j];
1255 			vfloat4 rgba = blk.texel(tix);
1256 
1257 			float idx0 = undec_weight_ref[tix];
1258 
1259 			float om_idx0 = 1.0f - idx0;
1260 			wmin1 = astc::min(idx0, wmin1);
1261 			wmax1 = astc::max(idx0, wmax1);
1262 
1263 			float scale = dot3_s(scale_dir, rgba);
1264 			scale_min = astc::min(scale, scale_min);
1265 			scale_max = astc::max(scale, scale_max);
1266 
1267 			left_sum_s   += om_idx0 * om_idx0;
1268 			middle_sum_s += om_idx0 * idx0;
1269 			right_sum_s  += idx0 * idx0;
1270 			weight_weight_sum_s += idx0;
1271 
1272 			vfloat4 color_idx(idx0);
1273 			vfloat4 cwprod = rgba;
1274 			vfloat4 cwiprod = cwprod * color_idx;
1275 
1276 			color_vec_y += cwiprod;
1277 			color_vec_x += cwprod - cwiprod;
1278 
1279 			scale_vec += vfloat2(om_idx0, idx0) * (scale * ls_weight);
1280 		}
1281 
1282 		vfloat4 left_sum   = vfloat4(left_sum_s) * color_weight;
1283 		vfloat4 middle_sum = vfloat4(middle_sum_s) * color_weight;
1284 		vfloat4 right_sum  = vfloat4(right_sum_s) * color_weight;
1285 		vfloat4 lmrs_sum   = vfloat3(left_sum_s, middle_sum_s, right_sum_s) * ls_weight;
1286 
1287 		color_vec_x = color_vec_x * color_weight;
1288 		color_vec_y = color_vec_y * color_weight;
1289 
1290 		// Initialize the luminance and scale vectors with a reasonable default
1291 		float scalediv = scale_min / astc::max(scale_max, 1e-10f);
1292 		scalediv = astc::clamp1f(scalediv);
1293 
1294 		vfloat4 sds = scale_dir * scale_max;
1295 
1296 		rgbs_vectors[i] = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), scalediv);
1297 
1298 		if (wmin1 >= wmax1 * 0.999f)
1299 		{
1300 			// If all weights in the partition were equal, then just take average of all colors in
1301 			// the partition and use that as both endpoint colors
1302 			vfloat4 avg = (color_vec_x + color_vec_y) / rgba_weight_sum;
1303 
1304 			vmask4 notnan_mask = avg == avg;
1305 			ep.endpt0[i] = select(ep.endpt0[i], avg, notnan_mask);
1306 			ep.endpt1[i] = select(ep.endpt1[i], avg, notnan_mask);
1307 
1308 			rgbs_vectors[i] = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), 1.0f);
1309 		}
1310 		else
1311 		{
1312 			// Otherwise, complete the analytic calculation of ideal-endpoint-values for the given
1313 			// set of texel weights and pixel colors
1314 			vfloat4 color_det1 = (left_sum * right_sum) - (middle_sum * middle_sum);
1315 			vfloat4 color_rdet1 = 1.0f / color_det1;
1316 
1317 			float ls_det1  = (lmrs_sum.lane<0>() * lmrs_sum.lane<2>()) - (lmrs_sum.lane<1>() * lmrs_sum.lane<1>());
1318 			float ls_rdet1 = 1.0f / ls_det1;
1319 
1320 			vfloat4 color_mss1 = (left_sum * left_sum)
1321 			                   + (2.0f * middle_sum * middle_sum)
1322 			                   + (right_sum * right_sum);
1323 
1324 			float ls_mss1 = (lmrs_sum.lane<0>() * lmrs_sum.lane<0>())
1325 			              + (2.0f * lmrs_sum.lane<1>() * lmrs_sum.lane<1>())
1326 			              + (lmrs_sum.lane<2>() * lmrs_sum.lane<2>());
1327 
1328 			vfloat4 ep0 = (right_sum * color_vec_x - middle_sum * color_vec_y) * color_rdet1;
1329 			vfloat4 ep1 = (left_sum * color_vec_y - middle_sum * color_vec_x) * color_rdet1;
1330 
1331 			vmask4 det_mask = abs(color_det1) > (color_mss1 * 1e-4f);
1332 			vmask4 notnan_mask = (ep0 == ep0) & (ep1 == ep1);
1333 			vmask4 full_mask = det_mask & notnan_mask;
1334 
1335 			ep.endpt0[i] = select(ep.endpt0[i], ep0, full_mask);
1336 			ep.endpt1[i] = select(ep.endpt1[i], ep1, full_mask);
1337 
1338 			float scale_ep0 = (lmrs_sum.lane<2>() * scale_vec.lane<0>() - lmrs_sum.lane<1>() * scale_vec.lane<1>()) * ls_rdet1;
1339 			float scale_ep1 = (lmrs_sum.lane<0>() * scale_vec.lane<1>() - lmrs_sum.lane<1>() * scale_vec.lane<0>()) * ls_rdet1;
1340 
1341 			if (fabsf(ls_det1) > (ls_mss1 * 1e-4f) && scale_ep0 == scale_ep0 && scale_ep1 == scale_ep1 && scale_ep0 < scale_ep1)
1342 			{
1343 				float scalediv2 = scale_ep0 / scale_ep1;
1344 				vfloat4 sdsm = scale_dir * scale_ep1;
1345 				rgbs_vectors[i] = vfloat4(sdsm.lane<0>(), sdsm.lane<1>(), sdsm.lane<2>(), scalediv2);
1346 			}
1347 		}
1348 
1349 		// Calculations specific to mode #7, the HDR RGB-scale mode - skip if known LDR
1350 		if (blk.rgb_lns[0] || blk.alpha_lns[0])
1351 		{
1352 			vfloat4 weight_weight_sum = vfloat4(weight_weight_sum_s) * color_weight;
1353 			float psum = right_sum_s * hadd_rgb_s(color_weight);
1354 
1355 			vfloat4 rgbq_sum = color_vec_x + color_vec_y;
1356 			rgbq_sum.set_lane<3>(hadd_rgb_s(color_vec_y));
1357 
1358 			vfloat4 rgbovec = compute_rgbo_vector(rgba_weight_sum, weight_weight_sum, rgbq_sum, psum);
1359 			rgbo_vectors[i] = rgbovec;
1360 
1361 			// We can get a failure due to the use of a singular (non-invertible) matrix
1362 			// If it failed, compute rgbo_vectors[] with a different method ...
1363 			if (astc::isnan(dot_s(rgbovec, rgbovec)))
1364 			{
1365 				vfloat4 v0 = ep.endpt0[i];
1366 				vfloat4 v1 = ep.endpt1[i];
1367 
1368 				float avgdif = hadd_rgb_s(v1 - v0) * (1.0f / 3.0f);
1369 				avgdif = astc::max(avgdif, 0.0f);
1370 
1371 				vfloat4 avg = (v0 + v1) * 0.5f;
1372 				vfloat4 ep0 = avg - vfloat4(avgdif) * 0.5f;
1373 				rgbo_vectors[i] = vfloat4(ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>(), avgdif);
1374 			}
1375 		}
1376 	}
1377 }
1378 
1379 /* See header for documentation. */
recompute_ideal_colors_2planes(const image_block & blk,const block_size_descriptor & bsd,const decimation_info & di,const uint8_t * dec_weights_uquant_plane1,const uint8_t * dec_weights_uquant_plane2,endpoints & ep,vfloat4 & rgbs_vector,vfloat4 & rgbo_vector,int plane2_component)1380 void recompute_ideal_colors_2planes(
1381 	const image_block& blk,
1382 	const block_size_descriptor& bsd,
1383 	const decimation_info& di,
1384 	const uint8_t* dec_weights_uquant_plane1,
1385 	const uint8_t* dec_weights_uquant_plane2,
1386 	endpoints& ep,
1387 	vfloat4& rgbs_vector,
1388 	vfloat4& rgbo_vector,
1389 	int plane2_component
1390 ) {
1391 	unsigned int weight_count = di.weight_count;
1392 	unsigned int total_texel_count = blk.texel_count;
1393 
1394 	promise(total_texel_count > 0);
1395 	promise(weight_count > 0);
1396 
1397 	ASTCENC_ALIGNAS float dec_weight_plane1[BLOCK_MAX_WEIGHTS_2PLANE];
1398 	ASTCENC_ALIGNAS float dec_weight_plane2[BLOCK_MAX_WEIGHTS_2PLANE];
1399 
1400 	assert(weight_count <= BLOCK_MAX_WEIGHTS_2PLANE);
1401 
1402 	for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH)
1403 	{
1404 		vint unquant_value1(dec_weights_uquant_plane1 + i);
1405 		vfloat unquant_value1f = int_to_float(unquant_value1) * vfloat(1.0f / 64.0f);
1406 		storea(unquant_value1f, dec_weight_plane1 + i);
1407 
1408 		vint unquant_value2(dec_weights_uquant_plane2 + i);
1409 		vfloat unquant_value2f = int_to_float(unquant_value2) * vfloat(1.0f / 64.0f);
1410 		storea(unquant_value2f, dec_weight_plane2 + i);
1411 	}
1412 
1413 	ASTCENC_ALIGNAS float undec_weight_plane1[BLOCK_MAX_TEXELS];
1414 	ASTCENC_ALIGNAS float undec_weight_plane2[BLOCK_MAX_TEXELS];
1415 
1416 	float* undec_weight_plane1_ref;
1417 	float* undec_weight_plane2_ref;
1418 
1419 	if (di.max_texel_weight_count == 1)
1420 	{
1421 		undec_weight_plane1_ref = dec_weight_plane1;
1422 		undec_weight_plane2_ref = dec_weight_plane2;
1423 	}
1424 	else if (di.max_texel_weight_count <= 2)
1425 	{
1426 		for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH)
1427 		{
1428 			vfloat weight = bilinear_infill_vla_2(di, dec_weight_plane1, i);
1429 			storea(weight, undec_weight_plane1 + i);
1430 
1431 			weight = bilinear_infill_vla_2(di, dec_weight_plane2, i);
1432 			storea(weight, undec_weight_plane2 + i);
1433 		}
1434 
1435 		undec_weight_plane1_ref = undec_weight_plane1;
1436 		undec_weight_plane2_ref = undec_weight_plane2;
1437 	}
1438 	else
1439 	{
1440 		for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH)
1441 		{
1442 			vfloat weight = bilinear_infill_vla(di, dec_weight_plane1, i);
1443 			storea(weight, undec_weight_plane1 + i);
1444 
1445 			weight = bilinear_infill_vla(di, dec_weight_plane2, i);
1446 			storea(weight, undec_weight_plane2 + i);
1447 		}
1448 
1449 		undec_weight_plane1_ref = undec_weight_plane1;
1450 		undec_weight_plane2_ref = undec_weight_plane2;
1451 	}
1452 
1453 	unsigned int texel_count = bsd.texel_count;
1454 	vfloat4 rgba_weight_sum = max(blk.channel_weight * static_cast<float>(texel_count), 1e-17f);
1455 	vfloat4 scale_dir = normalize(blk.data_mean.swz<0, 1, 2>());
1456 
1457 	float scale_max = 0.0f;
1458 	float scale_min = 1e10f;
1459 
1460 	float wmin1 = 1.0f;
1461 	float wmax1 = 0.0f;
1462 
1463 	float wmin2 = 1.0f;
1464 	float wmax2 = 0.0f;
1465 
1466 	float left1_sum_s = 0.0f;
1467 	float middle1_sum_s = 0.0f;
1468 	float right1_sum_s = 0.0f;
1469 
1470 	float left2_sum_s = 0.0f;
1471 	float middle2_sum_s = 0.0f;
1472 	float right2_sum_s = 0.0f;
1473 
1474 	vfloat4 color_vec_x = vfloat4::zero();
1475 	vfloat4 color_vec_y = vfloat4::zero();
1476 
1477 	vfloat4 scale_vec = vfloat4::zero();
1478 
1479 	vfloat4 weight_weight_sum = vfloat4(1e-17f);
1480 
1481 	vmask4 p2_mask = vint4::lane_id() == vint4(plane2_component);
1482 	vfloat4 color_weight = blk.channel_weight;
1483 	float ls_weight = hadd_rgb_s(color_weight);
1484 
1485 	for (unsigned int j = 0; j < texel_count; j++)
1486 	{
1487 		vfloat4 rgba = blk.texel(j);
1488 
1489 		float idx0 = undec_weight_plane1_ref[j];
1490 
1491 		float om_idx0 = 1.0f - idx0;
1492 		wmin1 = astc::min(idx0, wmin1);
1493 		wmax1 = astc::max(idx0, wmax1);
1494 
1495 		float scale = dot3_s(scale_dir, rgba);
1496 		scale_min = astc::min(scale, scale_min);
1497 		scale_max = astc::max(scale, scale_max);
1498 
1499 		left1_sum_s   += om_idx0 * om_idx0;
1500 		middle1_sum_s += om_idx0 * idx0;
1501 		right1_sum_s  += idx0 * idx0;
1502 
1503 		float idx1 = undec_weight_plane2_ref[j];
1504 
1505 		float om_idx1 = 1.0f - idx1;
1506 		wmin2 = astc::min(idx1, wmin2);
1507 		wmax2 = astc::max(idx1, wmax2);
1508 
1509 		left2_sum_s   += om_idx1 * om_idx1;
1510 		middle2_sum_s += om_idx1 * idx1;
1511 		right2_sum_s  += idx1 * idx1;
1512 
1513 		vfloat4 color_idx = select(vfloat4(idx0), vfloat4(idx1), p2_mask);
1514 
1515 		vfloat4 cwprod = rgba;
1516 		vfloat4 cwiprod = cwprod * color_idx;
1517 
1518 		color_vec_y += cwiprod;
1519 		color_vec_x += cwprod - cwiprod;
1520 
1521 		scale_vec += vfloat2(om_idx0, idx0) * (ls_weight * scale);
1522 		weight_weight_sum += color_idx;
1523 	}
1524 
1525 	vfloat4 left1_sum   = vfloat4(left1_sum_s) * color_weight;
1526 	vfloat4 middle1_sum = vfloat4(middle1_sum_s) * color_weight;
1527 	vfloat4 right1_sum  = vfloat4(right1_sum_s) * color_weight;
1528 	vfloat4 lmrs_sum    = vfloat3(left1_sum_s, middle1_sum_s, right1_sum_s) * ls_weight;
1529 
1530 	vfloat4 left2_sum   = vfloat4(left2_sum_s) * color_weight;
1531 	vfloat4 middle2_sum = vfloat4(middle2_sum_s) * color_weight;
1532 	vfloat4 right2_sum  = vfloat4(right2_sum_s) * color_weight;
1533 
1534 	color_vec_x = color_vec_x * color_weight;
1535 	color_vec_y = color_vec_y * color_weight;
1536 
1537 	// Initialize the luminance and scale vectors with a reasonable default
1538 	float scalediv = scale_min / astc::max(scale_max, 1e-10f);
1539 	scalediv = astc::clamp1f(scalediv);
1540 
1541 	vfloat4 sds = scale_dir * scale_max;
1542 
1543 	rgbs_vector = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), scalediv);
1544 
1545 	if (wmin1 >= wmax1 * 0.999f)
1546 	{
1547 		// If all weights in the partition were equal, then just take average of all colors in
1548 		// the partition and use that as both endpoint colors
1549 		vfloat4 avg = (color_vec_x + color_vec_y) / rgba_weight_sum;
1550 
1551 		vmask4 p1_mask = vint4::lane_id() != vint4(plane2_component);
1552 		vmask4 notnan_mask = avg == avg;
1553 		vmask4 full_mask = p1_mask & notnan_mask;
1554 
1555 		ep.endpt0[0] = select(ep.endpt0[0], avg, full_mask);
1556 		ep.endpt1[0] = select(ep.endpt1[0], avg, full_mask);
1557 
1558 		rgbs_vector = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), 1.0f);
1559 	}
1560 	else
1561 	{
1562 		// Otherwise, complete the analytic calculation of ideal-endpoint-values for the given
1563 		// set of texel weights and pixel colors
1564 		vfloat4 color_det1 = (left1_sum * right1_sum) - (middle1_sum * middle1_sum);
1565 		vfloat4 color_rdet1 = 1.0f / color_det1;
1566 
1567 		float ls_det1  = (lmrs_sum.lane<0>() * lmrs_sum.lane<2>()) - (lmrs_sum.lane<1>() * lmrs_sum.lane<1>());
1568 		float ls_rdet1 = 1.0f / ls_det1;
1569 
1570 		vfloat4 color_mss1 = (left1_sum * left1_sum)
1571 		                   + (2.0f * middle1_sum * middle1_sum)
1572 		                   + (right1_sum * right1_sum);
1573 
1574 		float ls_mss1 = (lmrs_sum.lane<0>() * lmrs_sum.lane<0>())
1575 		              + (2.0f * lmrs_sum.lane<1>() * lmrs_sum.lane<1>())
1576 		              + (lmrs_sum.lane<2>() * lmrs_sum.lane<2>());
1577 
1578 		vfloat4 ep0 = (right1_sum * color_vec_x - middle1_sum * color_vec_y) * color_rdet1;
1579 		vfloat4 ep1 = (left1_sum * color_vec_y - middle1_sum * color_vec_x) * color_rdet1;
1580 
1581 		float scale_ep0 = (lmrs_sum.lane<2>() * scale_vec.lane<0>() - lmrs_sum.lane<1>() * scale_vec.lane<1>()) * ls_rdet1;
1582 		float scale_ep1 = (lmrs_sum.lane<0>() * scale_vec.lane<1>() - lmrs_sum.lane<1>() * scale_vec.lane<0>()) * ls_rdet1;
1583 
1584 		vmask4 p1_mask = vint4::lane_id() != vint4(plane2_component);
1585 		vmask4 det_mask = abs(color_det1) > (color_mss1 * 1e-4f);
1586 		vmask4 notnan_mask = (ep0 == ep0) & (ep1 == ep1);
1587 		vmask4 full_mask = p1_mask & det_mask & notnan_mask;
1588 
1589 		ep.endpt0[0] = select(ep.endpt0[0], ep0, full_mask);
1590 		ep.endpt1[0] = select(ep.endpt1[0], ep1, full_mask);
1591 
1592 		if (fabsf(ls_det1) > (ls_mss1 * 1e-4f) && scale_ep0 == scale_ep0 && scale_ep1 == scale_ep1 && scale_ep0 < scale_ep1)
1593 		{
1594 			float scalediv2 = scale_ep0 / scale_ep1;
1595 			vfloat4 sdsm = scale_dir * scale_ep1;
1596 			rgbs_vector = vfloat4(sdsm.lane<0>(), sdsm.lane<1>(), sdsm.lane<2>(), scalediv2);
1597 		}
1598 	}
1599 
1600 	if (wmin2 >= wmax2 * 0.999f)
1601 	{
1602 		// If all weights in the partition were equal, then just take average of all colors in
1603 		// the partition and use that as both endpoint colors
1604 		vfloat4 avg = (color_vec_x + color_vec_y) / rgba_weight_sum;
1605 
1606 		vmask4 notnan_mask = avg == avg;
1607 		vmask4 full_mask = p2_mask & notnan_mask;
1608 
1609 		ep.endpt0[0] = select(ep.endpt0[0], avg, full_mask);
1610 		ep.endpt1[0] = select(ep.endpt1[0], avg, full_mask);
1611 	}
1612 	else
1613 	{
1614 		// Otherwise, complete the analytic calculation of ideal-endpoint-values for the given
1615 		// set of texel weights and pixel colors
1616 		vfloat4 color_det2 = (left2_sum * right2_sum) - (middle2_sum * middle2_sum);
1617 		vfloat4 color_rdet2 = 1.0f / color_det2;
1618 
1619 		vfloat4 color_mss2 = (left2_sum * left2_sum)
1620 		                   + (2.0f * middle2_sum * middle2_sum)
1621 		                   + (right2_sum * right2_sum);
1622 
1623 		vfloat4 ep0 = (right2_sum * color_vec_x - middle2_sum * color_vec_y) * color_rdet2;
1624 		vfloat4 ep1 = (left2_sum * color_vec_y - middle2_sum * color_vec_x) * color_rdet2;
1625 
1626 		vmask4 det_mask = abs(color_det2) > (color_mss2 * 1e-4f);
1627 		vmask4 notnan_mask = (ep0 == ep0) & (ep1 == ep1);
1628 		vmask4 full_mask = p2_mask & det_mask & notnan_mask;
1629 
1630 		ep.endpt0[0] = select(ep.endpt0[0], ep0, full_mask);
1631 		ep.endpt1[0] = select(ep.endpt1[0], ep1, full_mask);
1632 	}
1633 
1634 	// Calculations specific to mode #7, the HDR RGB-scale mode - skip if known LDR
1635 	if (blk.rgb_lns[0] || blk.alpha_lns[0])
1636 	{
1637 		weight_weight_sum = weight_weight_sum * color_weight;
1638 		float psum = dot3_s(select(right1_sum, right2_sum, p2_mask), color_weight);
1639 
1640 		vfloat4 rgbq_sum = color_vec_x + color_vec_y;
1641 		rgbq_sum.set_lane<3>(hadd_rgb_s(color_vec_y));
1642 
1643 		rgbo_vector = compute_rgbo_vector(rgba_weight_sum, weight_weight_sum, rgbq_sum, psum);
1644 
1645 		// We can get a failure due to the use of a singular (non-invertible) matrix
1646 		// If it failed, compute rgbo_vectors[] with a different method ...
1647 		if (astc::isnan(dot_s(rgbo_vector, rgbo_vector)))
1648 		{
1649 			vfloat4 v0 = ep.endpt0[0];
1650 			vfloat4 v1 = ep.endpt1[0];
1651 
1652 			float avgdif = hadd_rgb_s(v1 - v0) * (1.0f / 3.0f);
1653 			avgdif = astc::max(avgdif, 0.0f);
1654 
1655 			vfloat4 avg = (v0 + v1) * 0.5f;
1656 			vfloat4 ep0 = avg - vfloat4(avgdif) * 0.5f;
1657 
1658 			rgbo_vector = vfloat4(ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>(), avgdif);
1659 		}
1660 	}
1661 }
1662 
1663 #endif
1664