// SPDX-License-Identifier: Apache-2.0 // ---------------------------------------------------------------------------- // Copyright 2011-2023 Arm Limited // // Licensed under the Apache License, Version 2.0 (the "License"); you may not // use this file except in compliance with the License. You may obtain a copy // of the License at: // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, WITHOUT // WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the // License for the specific language governing permissions and limitations // under the License. // ---------------------------------------------------------------------------- #if !defined(ASTCENC_DECOMPRESS_ONLY) /** * @brief Functions for computing color endpoints and texel weights. */ #include #include "astcenc_internal.h" #include "astcenc_vecmathlib.h" /** * @brief Compute the infilled weight for N texel indices in a decimated grid. * * @param di The weight grid decimation to use. * @param weights The decimated weight values to use. * @param index The first texel index to interpolate. * * @return The interpolated weight for the given set of SIMD_WIDTH texels. */ static vfloat bilinear_infill_vla( const decimation_info& di, const float* weights, unsigned int index ) { // Load the bilinear filter texel weight indexes in the decimated grid vint weight_idx0 = vint(di.texel_weights_tr[0] + index); vint weight_idx1 = vint(di.texel_weights_tr[1] + index); vint weight_idx2 = vint(di.texel_weights_tr[2] + index); vint weight_idx3 = vint(di.texel_weights_tr[3] + index); // Load the bilinear filter weights from the decimated grid vfloat weight_val0 = gatherf(weights, weight_idx0); vfloat weight_val1 = gatherf(weights, weight_idx1); vfloat weight_val2 = gatherf(weights, weight_idx2); vfloat weight_val3 = gatherf(weights, weight_idx3); // Load the weight contribution factors for each decimated weight vfloat tex_weight_float0 = loada(di.texel_weight_contribs_float_tr[0] + index); vfloat tex_weight_float1 = loada(di.texel_weight_contribs_float_tr[1] + index); vfloat tex_weight_float2 = loada(di.texel_weight_contribs_float_tr[2] + index); vfloat tex_weight_float3 = loada(di.texel_weight_contribs_float_tr[3] + index); // Compute the bilinear interpolation to generate the per-texel weight return (weight_val0 * tex_weight_float0 + weight_val1 * tex_weight_float1) + (weight_val2 * tex_weight_float2 + weight_val3 * tex_weight_float3); } /** * @brief Compute the infilled weight for N texel indices in a decimated grid. * * This is specialized version which computes only two weights per texel for * encodings that are only decimated in a single axis. * * @param di The weight grid decimation to use. * @param weights The decimated weight values to use. * @param index The first texel index to interpolate. * * @return The interpolated weight for the given set of SIMD_WIDTH texels. */ static vfloat bilinear_infill_vla_2( const decimation_info& di, const float* weights, unsigned int index ) { // Load the bilinear filter texel weight indexes in the decimated grid vint weight_idx0 = vint(di.texel_weights_tr[0] + index); vint weight_idx1 = vint(di.texel_weights_tr[1] + index); // Load the bilinear filter weights from the decimated grid vfloat weight_val0 = gatherf(weights, weight_idx0); vfloat weight_val1 = gatherf(weights, weight_idx1); // Load the weight contribution factors for each decimated weight vfloat tex_weight_float0 = loada(di.texel_weight_contribs_float_tr[0] + index); vfloat tex_weight_float1 = loada(di.texel_weight_contribs_float_tr[1] + index); // Compute the bilinear interpolation to generate the per-texel weight return (weight_val0 * tex_weight_float0 + weight_val1 * tex_weight_float1); } /** * @brief Compute the ideal endpoints and weights for 1 color component. * * @param blk The image block color data to compress. * @param pi The partition info for the current trial. * @param[out] ei The computed ideal endpoints and weights. * @param component The color component to compute. */ static void compute_ideal_colors_and_weights_1_comp( const image_block& blk, const partition_info& pi, endpoints_and_weights& ei, unsigned int component ) { unsigned int partition_count = pi.partition_count; ei.ep.partition_count = partition_count; promise(partition_count > 0); unsigned int texel_count = blk.texel_count; promise(texel_count > 0); float error_weight; const float* data_vr = nullptr; assert(component < BLOCK_MAX_COMPONENTS); switch (component) { case 0: error_weight = blk.channel_weight.lane<0>(); data_vr = blk.data_r; break; case 1: error_weight = blk.channel_weight.lane<1>(); data_vr = blk.data_g; break; case 2: error_weight = blk.channel_weight.lane<2>(); data_vr = blk.data_b; break; default: assert(component == 3); error_weight = blk.channel_weight.lane<3>(); data_vr = blk.data_a; break; } vmask4 sep_mask = vint4::lane_id() == vint4(component); bool is_constant_wes { true }; float partition0_len_sq { 0.0f }; for (unsigned int i = 0; i < partition_count; i++) { float lowvalue { 1e10f }; float highvalue { -1e10f }; unsigned int partition_texel_count = pi.partition_texel_count[i]; for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; float value = data_vr[tix]; lowvalue = astc::min(value, lowvalue); highvalue = astc::max(value, highvalue); } if (highvalue <= lowvalue) { lowvalue = 0.0f; highvalue = 1e-7f; } float length = highvalue - lowvalue; float length_squared = length * length; float scale = 1.0f / length; if (i == 0) { partition0_len_sq = length_squared; } else { is_constant_wes = is_constant_wes && length_squared == partition0_len_sq; } for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; float value = (data_vr[tix] - lowvalue) * scale; value = astc::clamp1f(value); ei.weights[tix] = value; ei.weight_error_scale[tix] = length_squared * error_weight; assert(!astc::isnan(ei.weight_error_scale[tix])); } ei.ep.endpt0[i] = select(blk.data_min, vfloat4(lowvalue), sep_mask); ei.ep.endpt1[i] = select(blk.data_max, vfloat4(highvalue), sep_mask); } // Zero initialize any SIMD over-fetch unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count); for (unsigned int i = texel_count; i < texel_count_simd; i++) { ei.weights[i] = 0.0f; ei.weight_error_scale[i] = 0.0f; } ei.is_constant_weight_error_scale = is_constant_wes; } /** * @brief Compute the ideal endpoints and weights for 2 color components. * * @param blk The image block color data to compress. * @param pi The partition info for the current trial. * @param[out] ei The computed ideal endpoints and weights. * @param component1 The first color component to compute. * @param component2 The second color component to compute. */ static void compute_ideal_colors_and_weights_2_comp( const image_block& blk, const partition_info& pi, endpoints_and_weights& ei, int component1, int component2 ) { unsigned int partition_count = pi.partition_count; ei.ep.partition_count = partition_count; promise(partition_count > 0); unsigned int texel_count = blk.texel_count; promise(texel_count > 0); partition_metrics pms[BLOCK_MAX_PARTITIONS]; float error_weight; const float* data_vr = nullptr; const float* data_vg = nullptr; if (component1 == 0 && component2 == 1) { error_weight = hadd_s(blk.channel_weight.swz<0, 1>()) / 2.0f; data_vr = blk.data_r; data_vg = blk.data_g; } else if (component1 == 0 && component2 == 2) { error_weight = hadd_s(blk.channel_weight.swz<0, 2>()) / 2.0f; data_vr = blk.data_r; data_vg = blk.data_b; } else // (component1 == 1 && component2 == 2) { assert(component1 == 1 && component2 == 2); error_weight = hadd_s(blk.channel_weight.swz<1, 2>()) / 2.0f; data_vr = blk.data_g; data_vg = blk.data_b; } compute_avgs_and_dirs_2_comp(pi, blk, component1, component2, pms); bool is_constant_wes { true }; float partition0_len_sq { 0.0f }; vmask4 comp1_mask = vint4::lane_id() == vint4(component1); vmask4 comp2_mask = vint4::lane_id() == vint4(component2); for (unsigned int i = 0; i < partition_count; i++) { vfloat4 dir = pms[i].dir; if (hadd_s(dir) < 0.0f) { dir = vfloat4::zero() - dir; } line2 line { pms[i].avg, normalize_safe(dir, unit2()) }; float lowparam { 1e10f }; float highparam { -1e10f }; unsigned int partition_texel_count = pi.partition_texel_count[i]; for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; vfloat4 point = vfloat2(data_vr[tix], data_vg[tix]); float param = dot_s(point - line.a, line.b); ei.weights[tix] = param; lowparam = astc::min(param, lowparam); highparam = astc::max(param, highparam); } // It is possible for a uniform-color partition to produce length=0; // this causes NaN issues so set to small value to avoid this problem if (highparam <= lowparam) { lowparam = 0.0f; highparam = 1e-7f; } float length = highparam - lowparam; float length_squared = length * length; float scale = 1.0f / length; if (i == 0) { partition0_len_sq = length_squared; } else { is_constant_wes = is_constant_wes && length_squared == partition0_len_sq; } for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; float idx = (ei.weights[tix] - lowparam) * scale; idx = astc::clamp1f(idx); ei.weights[tix] = idx; ei.weight_error_scale[tix] = length_squared * error_weight; assert(!astc::isnan(ei.weight_error_scale[tix])); } vfloat4 lowvalue = line.a + line.b * lowparam; vfloat4 highvalue = line.a + line.b * highparam; vfloat4 ep0 = select(blk.data_min, vfloat4(lowvalue.lane<0>()), comp1_mask); vfloat4 ep1 = select(blk.data_max, vfloat4(highvalue.lane<0>()), comp1_mask); ei.ep.endpt0[i] = select(ep0, vfloat4(lowvalue.lane<1>()), comp2_mask); ei.ep.endpt1[i] = select(ep1, vfloat4(highvalue.lane<1>()), comp2_mask); } // Zero initialize any SIMD over-fetch unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count); for (unsigned int i = texel_count; i < texel_count_simd; i++) { ei.weights[i] = 0.0f; ei.weight_error_scale[i] = 0.0f; } ei.is_constant_weight_error_scale = is_constant_wes; } /** * @brief Compute the ideal endpoints and weights for 3 color components. * * @param blk The image block color data to compress. * @param pi The partition info for the current trial. * @param[out] ei The computed ideal endpoints and weights. * @param omitted_component The color component excluded from the calculation. */ static void compute_ideal_colors_and_weights_3_comp( const image_block& blk, const partition_info& pi, endpoints_and_weights& ei, unsigned int omitted_component ) { unsigned int partition_count = pi.partition_count; ei.ep.partition_count = partition_count; promise(partition_count > 0); unsigned int texel_count = blk.texel_count; promise(texel_count > 0); partition_metrics pms[BLOCK_MAX_PARTITIONS]; float error_weight; const float* data_vr = nullptr; const float* data_vg = nullptr; const float* data_vb = nullptr; if (omitted_component == 0) { error_weight = hadd_s(blk.channel_weight.swz<0, 1, 2>()); data_vr = blk.data_g; data_vg = blk.data_b; data_vb = blk.data_a; } else if (omitted_component == 1) { error_weight = hadd_s(blk.channel_weight.swz<0, 2, 3>()); data_vr = blk.data_r; data_vg = blk.data_b; data_vb = blk.data_a; } else if (omitted_component == 2) { error_weight = hadd_s(blk.channel_weight.swz<0, 1, 3>()); data_vr = blk.data_r; data_vg = blk.data_g; data_vb = blk.data_a; } else { assert(omitted_component == 3); error_weight = hadd_s(blk.channel_weight.swz<0, 1, 2>()); data_vr = blk.data_r; data_vg = blk.data_g; data_vb = blk.data_b; } error_weight = error_weight * (1.0f / 3.0f); if (omitted_component == 3) { compute_avgs_and_dirs_3_comp_rgb(pi, blk, pms); } else { compute_avgs_and_dirs_3_comp(pi, blk, omitted_component, pms); } bool is_constant_wes { true }; float partition0_len_sq { 0.0f }; for (unsigned int i = 0; i < partition_count; i++) { vfloat4 dir = pms[i].dir; if (hadd_rgb_s(dir) < 0.0f) { dir = vfloat4::zero() - dir; } line3 line { pms[i].avg, normalize_safe(dir, unit3()) }; float lowparam { 1e10f }; float highparam { -1e10f }; unsigned int partition_texel_count = pi.partition_texel_count[i]; for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; vfloat4 point = vfloat3(data_vr[tix], data_vg[tix], data_vb[tix]); float param = dot3_s(point - line.a, line.b); ei.weights[tix] = param; lowparam = astc::min(param, lowparam); highparam = astc::max(param, highparam); } // It is possible for a uniform-color partition to produce length=0; // this causes NaN issues so set to small value to avoid this problem if (highparam <= lowparam) { lowparam = 0.0f; highparam = 1e-7f; } float length = highparam - lowparam; float length_squared = length * length; float scale = 1.0f / length; if (i == 0) { partition0_len_sq = length_squared; } else { is_constant_wes = is_constant_wes && length_squared == partition0_len_sq; } for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; float idx = (ei.weights[tix] - lowparam) * scale; idx = astc::clamp1f(idx); ei.weights[tix] = idx; ei.weight_error_scale[tix] = length_squared * error_weight; assert(!astc::isnan(ei.weight_error_scale[tix])); } vfloat4 ep0 = line.a + line.b * lowparam; vfloat4 ep1 = line.a + line.b * highparam; vfloat4 bmin = blk.data_min; vfloat4 bmax = blk.data_max; assert(omitted_component < BLOCK_MAX_COMPONENTS); switch (omitted_component) { case 0: ei.ep.endpt0[i] = vfloat4(bmin.lane<0>(), ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>()); ei.ep.endpt1[i] = vfloat4(bmax.lane<0>(), ep1.lane<0>(), ep1.lane<1>(), ep1.lane<2>()); break; case 1: ei.ep.endpt0[i] = vfloat4(ep0.lane<0>(), bmin.lane<1>(), ep0.lane<1>(), ep0.lane<2>()); ei.ep.endpt1[i] = vfloat4(ep1.lane<0>(), bmax.lane<1>(), ep1.lane<1>(), ep1.lane<2>()); break; case 2: ei.ep.endpt0[i] = vfloat4(ep0.lane<0>(), ep0.lane<1>(), bmin.lane<2>(), ep0.lane<2>()); ei.ep.endpt1[i] = vfloat4(ep1.lane<0>(), ep1.lane<1>(), bmax.lane<2>(), ep1.lane<2>()); break; default: ei.ep.endpt0[i] = vfloat4(ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>(), bmin.lane<3>()); ei.ep.endpt1[i] = vfloat4(ep1.lane<0>(), ep1.lane<1>(), ep1.lane<2>(), bmax.lane<3>()); break; } } // Zero initialize any SIMD over-fetch unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count); for (unsigned int i = texel_count; i < texel_count_simd; i++) { ei.weights[i] = 0.0f; ei.weight_error_scale[i] = 0.0f; } ei.is_constant_weight_error_scale = is_constant_wes; } /** * @brief Compute the ideal endpoints and weights for 4 color components. * * @param blk The image block color data to compress. * @param pi The partition info for the current trial. * @param[out] ei The computed ideal endpoints and weights. */ static void compute_ideal_colors_and_weights_4_comp( const image_block& blk, const partition_info& pi, endpoints_and_weights& ei ) { const float error_weight = hadd_s(blk.channel_weight) / 4.0f; unsigned int partition_count = pi.partition_count; unsigned int texel_count = blk.texel_count; promise(texel_count > 0); promise(partition_count > 0); partition_metrics pms[BLOCK_MAX_PARTITIONS]; compute_avgs_and_dirs_4_comp(pi, blk, pms); bool is_constant_wes { true }; float partition0_len_sq { 0.0f }; for (unsigned int i = 0; i < partition_count; i++) { vfloat4 dir = pms[i].dir; if (hadd_rgb_s(dir) < 0.0f) { dir = vfloat4::zero() - dir; } line4 line { pms[i].avg, normalize_safe(dir, unit4()) }; float lowparam { 1e10f }; float highparam { -1e10f }; unsigned int partition_texel_count = pi.partition_texel_count[i]; for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; vfloat4 point = blk.texel(tix); float param = dot_s(point - line.a, line.b); ei.weights[tix] = param; lowparam = astc::min(param, lowparam); highparam = astc::max(param, highparam); } // It is possible for a uniform-color partition to produce length=0; // this causes NaN issues so set to small value to avoid this problem if (highparam <= lowparam) { lowparam = 0.0f; highparam = 1e-7f; } float length = highparam - lowparam; float length_squared = length * length; float scale = 1.0f / length; if (i == 0) { partition0_len_sq = length_squared; } else { is_constant_wes = is_constant_wes && length_squared == partition0_len_sq; } ei.ep.endpt0[i] = line.a + line.b * lowparam; ei.ep.endpt1[i] = line.a + line.b * highparam; for (unsigned int j = 0; j < partition_texel_count; j++) { unsigned int tix = pi.texels_of_partition[i][j]; float idx = (ei.weights[tix] - lowparam) * scale; idx = astc::clamp1f(idx); ei.weights[tix] = idx; ei.weight_error_scale[tix] = length_squared * error_weight; assert(!astc::isnan(ei.weight_error_scale[tix])); } } // Zero initialize any SIMD over-fetch unsigned int texel_count_simd = round_up_to_simd_multiple_vla(texel_count); for (unsigned int i = texel_count; i < texel_count_simd; i++) { ei.weights[i] = 0.0f; ei.weight_error_scale[i] = 0.0f; } ei.is_constant_weight_error_scale = is_constant_wes; } /* See header for documentation. */ void compute_ideal_colors_and_weights_1plane( const image_block& blk, const partition_info& pi, endpoints_and_weights& ei ) { bool uses_alpha = !blk.is_constant_channel(3); if (uses_alpha) { compute_ideal_colors_and_weights_4_comp(blk, pi, ei); } else { compute_ideal_colors_and_weights_3_comp(blk, pi, ei, 3); } } /* See header for documentation. */ void 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 ) { const auto& pi = bsd.get_partition_info(1, 0); bool uses_alpha = !blk.is_constant_channel(3); assert(plane2_component < BLOCK_MAX_COMPONENTS); switch (plane2_component) { case 0: // Separate weights for red if (uses_alpha) { compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 0); } else { compute_ideal_colors_and_weights_2_comp(blk, pi, ei1, 1, 2); } compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 0); break; case 1: // Separate weights for green if (uses_alpha) { compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 1); } else { compute_ideal_colors_and_weights_2_comp(blk, pi, ei1, 0, 2); } compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 1); break; case 2: // Separate weights for blue if (uses_alpha) { compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 2); } else { compute_ideal_colors_and_weights_2_comp(blk, pi, ei1, 0, 1); } compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 2); break; default: // Separate weights for alpha assert(uses_alpha); compute_ideal_colors_and_weights_3_comp(blk, pi, ei1, 3); compute_ideal_colors_and_weights_1_comp(blk, pi, ei2, 3); break; } } /* See header for documentation. */ float compute_error_of_weight_set_1plane( const endpoints_and_weights& eai, const decimation_info& di, const float* dec_weight_quant_uvalue ) { vfloatacc error_summav = vfloatacc::zero(); unsigned int texel_count = di.texel_count; promise(texel_count > 0); // Process SIMD-width chunks, safe to over-fetch - the extra space is zero initialized if (di.max_texel_weight_count > 2) { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { // Compute the bilinear interpolation of the decimated weight grid vfloat current_values = bilinear_infill_vla(di, dec_weight_quant_uvalue, i); // Compute the error between the computed value and the ideal weight vfloat actual_values = loada(eai.weights + i); vfloat diff = current_values - actual_values; vfloat significance = loada(eai.weight_error_scale + i); vfloat error = diff * diff * significance; haccumulate(error_summav, error); } } else if (di.max_texel_weight_count > 1) { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { // Compute the bilinear interpolation of the decimated weight grid vfloat current_values = bilinear_infill_vla_2(di, dec_weight_quant_uvalue, i); // Compute the error between the computed value and the ideal weight vfloat actual_values = loada(eai.weights + i); vfloat diff = current_values - actual_values; vfloat significance = loada(eai.weight_error_scale + i); vfloat error = diff * diff * significance; haccumulate(error_summav, error); } } else { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { // Load the weight set directly, without interpolation vfloat current_values = loada(dec_weight_quant_uvalue + i); // Compute the error between the computed value and the ideal weight vfloat actual_values = loada(eai.weights + i); vfloat diff = current_values - actual_values; vfloat significance = loada(eai.weight_error_scale + i); vfloat error = diff * diff * significance; haccumulate(error_summav, error); } } // Resolve the final scalar accumulator sum return hadd_s(error_summav); } /* See header for documentation. */ float 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 ) { vfloatacc error_summav = vfloatacc::zero(); unsigned int texel_count = di.texel_count; promise(texel_count > 0); // Process SIMD-width chunks, safe to over-fetch - the extra space is zero initialized if (di.max_texel_weight_count > 2) { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { // Plane 1 // Compute the bilinear interpolation of the decimated weight grid vfloat current_values1 = bilinear_infill_vla(di, dec_weight_quant_uvalue_plane1, i); // Compute the error between the computed value and the ideal weight vfloat actual_values1 = loada(eai1.weights + i); vfloat diff = current_values1 - actual_values1; vfloat error1 = diff * diff * loada(eai1.weight_error_scale + i); // Plane 2 // Compute the bilinear interpolation of the decimated weight grid vfloat current_values2 = bilinear_infill_vla(di, dec_weight_quant_uvalue_plane2, i); // Compute the error between the computed value and the ideal weight vfloat actual_values2 = loada(eai2.weights + i); diff = current_values2 - actual_values2; vfloat error2 = diff * diff * loada(eai2.weight_error_scale + i); haccumulate(error_summav, error1 + error2); } } else if (di.max_texel_weight_count > 1) { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { // Plane 1 // Compute the bilinear interpolation of the decimated weight grid vfloat current_values1 = bilinear_infill_vla_2(di, dec_weight_quant_uvalue_plane1, i); // Compute the error between the computed value and the ideal weight vfloat actual_values1 = loada(eai1.weights + i); vfloat diff = current_values1 - actual_values1; vfloat error1 = diff * diff * loada(eai1.weight_error_scale + i); // Plane 2 // Compute the bilinear interpolation of the decimated weight grid vfloat current_values2 = bilinear_infill_vla_2(di, dec_weight_quant_uvalue_plane2, i); // Compute the error between the computed value and the ideal weight vfloat actual_values2 = loada(eai2.weights + i); diff = current_values2 - actual_values2; vfloat error2 = diff * diff * loada(eai2.weight_error_scale + i); haccumulate(error_summav, error1 + error2); } } else { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { // Plane 1 // Load the weight set directly, without interpolation vfloat current_values1 = loada(dec_weight_quant_uvalue_plane1 + i); // Compute the error between the computed value and the ideal weight vfloat actual_values1 = loada(eai1.weights + i); vfloat diff = current_values1 - actual_values1; vfloat error1 = diff * diff * loada(eai1.weight_error_scale + i); // Plane 2 // Load the weight set directly, without interpolation vfloat current_values2 = loada(dec_weight_quant_uvalue_plane2 + i); // Compute the error between the computed value and the ideal weight vfloat actual_values2 = loada(eai2.weights + i); diff = current_values2 - actual_values2; vfloat error2 = diff * diff * loada(eai2.weight_error_scale + i); haccumulate(error_summav, error1 + error2); } } // Resolve the final scalar accumulator sum return hadd_s(error_summav); } /* See header for documentation. */ void compute_ideal_weights_for_decimation( const endpoints_and_weights& ei, const decimation_info& di, float* dec_weight_ideal_value ) { unsigned int texel_count = di.texel_count; unsigned int weight_count = di.weight_count; bool is_direct = texel_count == weight_count; promise(texel_count > 0); promise(weight_count > 0); // Ensure that the end of the output arrays that are used for SIMD paths later are filled so we // can safely run SIMD elsewhere without a loop tail. Note that this is always safe as weight // arrays always contain space for 64 elements unsigned int prev_weight_count_simd = round_down_to_simd_multiple_vla(weight_count - 1); storea(vfloat::zero(), dec_weight_ideal_value + prev_weight_count_simd); // If we have a 1:1 mapping just shortcut the computation. Transfer enough to also copy the // zero-initialized SIMD over-fetch region if (is_direct) { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight(ei.weights + i); storea(weight, dec_weight_ideal_value + i); } return; } // Otherwise compute an estimate and perform single refinement iteration alignas(ASTCENC_VECALIGN) float infilled_weights[BLOCK_MAX_TEXELS]; // Compute an initial average for each decimated weight bool constant_wes = ei.is_constant_weight_error_scale; vfloat weight_error_scale(ei.weight_error_scale[0]); // This overshoots - this is OK as we initialize the array tails in the // decimation table structures to safe values ... for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH) { // Start with a small value to avoid div-by-zero later vfloat weight_weight(1e-10f); vfloat initial_weight = vfloat::zero(); // Accumulate error weighting of all the texels using this weight vint weight_texel_count(di.weight_texel_count + i); unsigned int max_texel_count = hmax(weight_texel_count).lane<0>(); promise(max_texel_count > 0); for (unsigned int j = 0; j < max_texel_count; j++) { vint texel(di.weight_texels_tr[j] + i); vfloat weight = loada(di.weights_texel_contribs_tr[j] + i); if (!constant_wes) { weight_error_scale = gatherf(ei.weight_error_scale, texel); } vfloat contrib_weight = weight * weight_error_scale; weight_weight += contrib_weight; initial_weight += gatherf(ei.weights, texel) * contrib_weight; } storea(initial_weight / weight_weight, dec_weight_ideal_value + i); } // Populate the interpolated weight grid based on the initial average // Process SIMD-width texel coordinates at at time while we can. Safe to // over-process full SIMD vectors - the tail is zeroed. if (di.max_texel_weight_count <= 2) { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight = bilinear_infill_vla_2(di, dec_weight_ideal_value, i); storea(weight, infilled_weights + i); } } else { for (unsigned int i = 0; i < texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight = bilinear_infill_vla(di, dec_weight_ideal_value, i); storea(weight, infilled_weights + i); } } // Perform a single iteration of refinement // Empirically determined step size; larger values don't help but smaller drops image quality constexpr float stepsize = 0.25f; constexpr float chd_scale = -WEIGHTS_TEXEL_SUM; for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight_val = loada(dec_weight_ideal_value + i); // Accumulate error weighting of all the texels using this weight // Start with a small value to avoid div-by-zero later vfloat error_change0(1e-10f); vfloat error_change1(0.0f); // Accumulate error weighting of all the texels using this weight vint weight_texel_count(di.weight_texel_count + i); unsigned int max_texel_count = hmax(weight_texel_count).lane<0>(); promise(max_texel_count > 0); for (unsigned int j = 0; j < max_texel_count; j++) { vint texel(di.weight_texels_tr[j] + i); vfloat contrib_weight = loada(di.weights_texel_contribs_tr[j] + i); if (!constant_wes) { weight_error_scale = gatherf(ei.weight_error_scale, texel); } vfloat scale = weight_error_scale * contrib_weight; vfloat old_weight = gatherf(infilled_weights, texel); vfloat ideal_weight = gatherf(ei.weights, texel); error_change0 += contrib_weight * scale; error_change1 += (old_weight - ideal_weight) * scale; } vfloat step = (error_change1 * chd_scale) / error_change0; step = clamp(-stepsize, stepsize, step); // Update the weight; note this can store negative values storea(weight_val + step, dec_weight_ideal_value + i); } } /* See header for documentation. */ void 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 ) { int weight_count = di.weight_count; promise(weight_count > 0); const quant_and_transfer_table& qat = quant_and_xfer_tables[quant_level]; // The available quant levels, stored with a minus 1 bias static const float quant_levels_m1[12] { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 7.0f, 9.0f, 11.0f, 15.0f, 19.0f, 23.0f, 31.0f }; vint steps_m1(get_quant_level(quant_level) - 1); float quant_level_m1 = quant_levels_m1[quant_level]; // Quantize the weight set using both the specified low/high bounds and standard 0..1 bounds // TODO: Oddity to investigate; triggered by test in issue #265. if (high_bound <= low_bound) { low_bound = 0.0f; high_bound = 1.0f; } float rscale = high_bound - low_bound; float scale = 1.0f / rscale; float scaled_low_bound = low_bound * scale; rscale *= 1.0f / 64.0f; vfloat scalev(scale); vfloat scaled_low_boundv(scaled_low_bound); vfloat quant_level_m1v(quant_level_m1); vfloat rscalev(rscale); vfloat low_boundv(low_bound); // This runs to the rounded-up SIMD size, which is safe as the loop tail is filled with known // safe data in compute_ideal_weights_for_decimation and arrays are always 64 elements if (get_quant_level(quant_level) <= 16) { vint4 tab0(reinterpret_cast(qat.quant_to_unquant)); vint tab0p; vtable_prepare(tab0, tab0p); for (int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH) { vfloat ix = loada(dec_weight_ideal_value + i) * scalev - scaled_low_boundv; ix = clampzo(ix); // Look up the two closest indexes and return the one that was closest vfloat ix1 = ix * quant_level_m1v; vint weightl = float_to_int(ix1); vint weighth = min(weightl + vint(1), steps_m1); vint ixli = vtable_8bt_32bi(tab0p, weightl); vint ixhi = vtable_8bt_32bi(tab0p, weighth); vfloat ixl = int_to_float(ixli); vfloat ixh = int_to_float(ixhi); vmask mask = (ixl + ixh) < (vfloat(128.0f) * ix); vint weight = select(ixli, ixhi, mask); ixl = select(ixl, ixh, mask); // Invert the weight-scaling that was done initially storea(ixl * rscalev + low_boundv, weight_set_out + i); vint scn = pack_low_bytes(weight); store_nbytes(scn, quantized_weight_set + i); } } else { vint4 tab0(reinterpret_cast(qat.quant_to_unquant)); vint4 tab1(reinterpret_cast(qat.quant_to_unquant + 16)); vint tab0p, tab1p; vtable_prepare(tab0, tab1, tab0p, tab1p); for (int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH) { vfloat ix = loada(dec_weight_ideal_value + i) * scalev - scaled_low_boundv; ix = clampzo(ix); // Look up the two closest indexes and return the one that was closest vfloat ix1 = ix * quant_level_m1v; vint weightl = float_to_int(ix1); vint weighth = min(weightl + vint(1), steps_m1); vint ixli = vtable_8bt_32bi(tab0p, tab1p, weightl); vint ixhi = vtable_8bt_32bi(tab0p, tab1p, weighth); vfloat ixl = int_to_float(ixli); vfloat ixh = int_to_float(ixhi); vmask mask = (ixl + ixh) < (vfloat(128.0f) * ix); vint weight = select(ixli, ixhi, mask); ixl = select(ixl, ixh, mask); // Invert the weight-scaling that was done initially storea(ixl * rscalev + low_boundv, weight_set_out + i); vint scn = pack_low_bytes(weight); store_nbytes(scn, quantized_weight_set + i); } } } /** * @brief Compute the RGB + offset for a HDR endpoint mode #7. * * Since the matrix needed has a regular structure we can simplify the inverse calculation. This * gives us ~24 multiplications vs. 96 for a generic inverse. * * mat[0] = vfloat4(rgba_ws.x, 0.0f, 0.0f, wght_ws.x); * mat[1] = vfloat4( 0.0f, rgba_ws.y, 0.0f, wght_ws.y); * mat[2] = vfloat4( 0.0f, 0.0f, rgba_ws.z, wght_ws.z); * mat[3] = vfloat4(wght_ws.x, wght_ws.y, wght_ws.z, psum); * mat = invert(mat); * * @param rgba_weight_sum Sum of partition component error weights. * @param weight_weight_sum Sum of partition component error weights * texel weight. * @param rgbq_sum Sum of partition component error weights * texel weight * color data. * @param psum Sum of RGB color weights * texel weight^2. */ static inline vfloat4 compute_rgbo_vector( vfloat4 rgba_weight_sum, vfloat4 weight_weight_sum, vfloat4 rgbq_sum, float psum ) { float X = rgba_weight_sum.lane<0>(); float Y = rgba_weight_sum.lane<1>(); float Z = rgba_weight_sum.lane<2>(); float P = weight_weight_sum.lane<0>(); float Q = weight_weight_sum.lane<1>(); float R = weight_weight_sum.lane<2>(); float S = psum; float PP = P * P; float QQ = Q * Q; float RR = R * R; float SZmRR = S * Z - RR; float DT = SZmRR * Y - Z * QQ; float YP = Y * P; float QX = Q * X; float YX = Y * X; float mZYP = -Z * YP; float mZQX = -Z * QX; float mRYX = -R * YX; float ZQP = Z * Q * P; float RYP = R * YP; float RQX = R * QX; // Compute the reciprocal of matrix determinant float rdet = 1.0f / (DT * X + mZYP * P); // Actually compute the adjugate, and then apply 1/det separately vfloat4 mat0(DT, ZQP, RYP, mZYP); vfloat4 mat1(ZQP, SZmRR * X - Z * PP, RQX, mZQX); vfloat4 mat2(RYP, RQX, (S * Y - QQ) * X - Y * PP, mRYX); vfloat4 mat3(mZYP, mZQX, mRYX, Z * YX); vfloat4 vect = rgbq_sum * rdet; return vfloat4(dot_s(mat0, vect), dot_s(mat1, vect), dot_s(mat2, vect), dot_s(mat3, vect)); } /* See header for documentation. */ void 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] ) { unsigned int weight_count = di.weight_count; unsigned int total_texel_count = blk.texel_count; unsigned int partition_count = pi.partition_count; promise(weight_count > 0); promise(total_texel_count > 0); promise(partition_count > 0); alignas(ASTCENC_VECALIGN) float dec_weight[BLOCK_MAX_WEIGHTS]; for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH) { vint unquant_value(dec_weights_uquant + i); vfloat unquant_valuef = int_to_float(unquant_value) * vfloat(1.0f / 64.0f); storea(unquant_valuef, dec_weight + i); } alignas(ASTCENC_VECALIGN) float undec_weight[BLOCK_MAX_TEXELS]; float* undec_weight_ref; if (di.max_texel_weight_count == 1) { undec_weight_ref = dec_weight; } else if (di.max_texel_weight_count <= 2) { for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight = bilinear_infill_vla_2(di, dec_weight, i); storea(weight, undec_weight + i); } undec_weight_ref = undec_weight; } else { for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight = bilinear_infill_vla(di, dec_weight, i); storea(weight, undec_weight + i); } undec_weight_ref = undec_weight; } vfloat4 rgba_sum(blk.data_mean * static_cast(blk.texel_count)); for (unsigned int i = 0; i < partition_count; i++) { unsigned int texel_count = pi.partition_texel_count[i]; const uint8_t *texel_indexes = pi.texels_of_partition[i]; // Only compute a partition mean if more than one partition if (partition_count > 1) { rgba_sum = vfloat4::zero(); promise(texel_count > 0); for (unsigned int j = 0; j < texel_count; j++) { unsigned int tix = texel_indexes[j]; rgba_sum += blk.texel(tix); } } rgba_sum = rgba_sum * blk.channel_weight; vfloat4 rgba_weight_sum = max(blk.channel_weight * static_cast(texel_count), 1e-17f); vfloat4 scale_dir = normalize((rgba_sum / rgba_weight_sum).swz<0, 1, 2>()); float scale_max = 0.0f; float scale_min = 1e10f; float wmin1 = 1.0f; float wmax1 = 0.0f; float left_sum_s = 0.0f; float middle_sum_s = 0.0f; float right_sum_s = 0.0f; vfloat4 color_vec_x = vfloat4::zero(); vfloat4 color_vec_y = vfloat4::zero(); vfloat4 scale_vec = vfloat4::zero(); float weight_weight_sum_s = 1e-17f; vfloat4 color_weight = blk.channel_weight; float ls_weight = hadd_rgb_s(color_weight); for (unsigned int j = 0; j < texel_count; j++) { unsigned int tix = texel_indexes[j]; vfloat4 rgba = blk.texel(tix); float idx0 = undec_weight_ref[tix]; float om_idx0 = 1.0f - idx0; wmin1 = astc::min(idx0, wmin1); wmax1 = astc::max(idx0, wmax1); float scale = dot3_s(scale_dir, rgba); scale_min = astc::min(scale, scale_min); scale_max = astc::max(scale, scale_max); left_sum_s += om_idx0 * om_idx0; middle_sum_s += om_idx0 * idx0; right_sum_s += idx0 * idx0; weight_weight_sum_s += idx0; vfloat4 color_idx(idx0); vfloat4 cwprod = rgba; vfloat4 cwiprod = cwprod * color_idx; color_vec_y += cwiprod; color_vec_x += cwprod - cwiprod; scale_vec += vfloat2(om_idx0, idx0) * (scale * ls_weight); } vfloat4 left_sum = vfloat4(left_sum_s) * color_weight; vfloat4 middle_sum = vfloat4(middle_sum_s) * color_weight; vfloat4 right_sum = vfloat4(right_sum_s) * color_weight; vfloat4 lmrs_sum = vfloat3(left_sum_s, middle_sum_s, right_sum_s) * ls_weight; color_vec_x = color_vec_x * color_weight; color_vec_y = color_vec_y * color_weight; // Initialize the luminance and scale vectors with a reasonable default float scalediv = scale_min / astc::max(scale_max, 1e-10f); scalediv = astc::clamp1f(scalediv); vfloat4 sds = scale_dir * scale_max; rgbs_vectors[i] = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), scalediv); if (wmin1 >= wmax1 * 0.999f) { // If all weights in the partition were equal, then just take average of all colors in // the partition and use that as both endpoint colors vfloat4 avg = (color_vec_x + color_vec_y) / rgba_weight_sum; vmask4 notnan_mask = avg == avg; ep.endpt0[i] = select(ep.endpt0[i], avg, notnan_mask); ep.endpt1[i] = select(ep.endpt1[i], avg, notnan_mask); rgbs_vectors[i] = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), 1.0f); } else { // Otherwise, complete the analytic calculation of ideal-endpoint-values for the given // set of texel weights and pixel colors vfloat4 color_det1 = (left_sum * right_sum) - (middle_sum * middle_sum); vfloat4 color_rdet1 = 1.0f / color_det1; float ls_det1 = (lmrs_sum.lane<0>() * lmrs_sum.lane<2>()) - (lmrs_sum.lane<1>() * lmrs_sum.lane<1>()); float ls_rdet1 = 1.0f / ls_det1; vfloat4 color_mss1 = (left_sum * left_sum) + (2.0f * middle_sum * middle_sum) + (right_sum * right_sum); float ls_mss1 = (lmrs_sum.lane<0>() * lmrs_sum.lane<0>()) + (2.0f * lmrs_sum.lane<1>() * lmrs_sum.lane<1>()) + (lmrs_sum.lane<2>() * lmrs_sum.lane<2>()); vfloat4 ep0 = (right_sum * color_vec_x - middle_sum * color_vec_y) * color_rdet1; vfloat4 ep1 = (left_sum * color_vec_y - middle_sum * color_vec_x) * color_rdet1; vmask4 det_mask = abs(color_det1) > (color_mss1 * 1e-4f); vmask4 notnan_mask = (ep0 == ep0) & (ep1 == ep1); vmask4 full_mask = det_mask & notnan_mask; ep.endpt0[i] = select(ep.endpt0[i], ep0, full_mask); ep.endpt1[i] = select(ep.endpt1[i], ep1, full_mask); float scale_ep0 = (lmrs_sum.lane<2>() * scale_vec.lane<0>() - lmrs_sum.lane<1>() * scale_vec.lane<1>()) * ls_rdet1; float scale_ep1 = (lmrs_sum.lane<0>() * scale_vec.lane<1>() - lmrs_sum.lane<1>() * scale_vec.lane<0>()) * ls_rdet1; if (fabsf(ls_det1) > (ls_mss1 * 1e-4f) && scale_ep0 == scale_ep0 && scale_ep1 == scale_ep1 && scale_ep0 < scale_ep1) { float scalediv2 = scale_ep0 / scale_ep1; vfloat4 sdsm = scale_dir * scale_ep1; rgbs_vectors[i] = vfloat4(sdsm.lane<0>(), sdsm.lane<1>(), sdsm.lane<2>(), scalediv2); } } // Calculations specific to mode #7, the HDR RGB-scale mode - skip if known LDR if (blk.rgb_lns[0] || blk.alpha_lns[0]) { vfloat4 weight_weight_sum = vfloat4(weight_weight_sum_s) * color_weight; float psum = right_sum_s * hadd_rgb_s(color_weight); vfloat4 rgbq_sum = color_vec_x + color_vec_y; rgbq_sum.set_lane<3>(hadd_rgb_s(color_vec_y)); vfloat4 rgbovec = compute_rgbo_vector(rgba_weight_sum, weight_weight_sum, rgbq_sum, psum); rgbo_vectors[i] = rgbovec; // We can get a failure due to the use of a singular (non-invertible) matrix // If it failed, compute rgbo_vectors[] with a different method ... if (astc::isnan(dot_s(rgbovec, rgbovec))) { vfloat4 v0 = ep.endpt0[i]; vfloat4 v1 = ep.endpt1[i]; float avgdif = hadd_rgb_s(v1 - v0) * (1.0f / 3.0f); avgdif = astc::max(avgdif, 0.0f); vfloat4 avg = (v0 + v1) * 0.5f; vfloat4 ep0 = avg - vfloat4(avgdif) * 0.5f; rgbo_vectors[i] = vfloat4(ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>(), avgdif); } } } } /* See header for documentation. */ void 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 ) { unsigned int weight_count = di.weight_count; unsigned int total_texel_count = blk.texel_count; promise(total_texel_count > 0); promise(weight_count > 0); alignas(ASTCENC_VECALIGN) float dec_weight_plane1[BLOCK_MAX_WEIGHTS_2PLANE]; alignas(ASTCENC_VECALIGN) float dec_weight_plane2[BLOCK_MAX_WEIGHTS_2PLANE]; assert(weight_count <= BLOCK_MAX_WEIGHTS_2PLANE); for (unsigned int i = 0; i < weight_count; i += ASTCENC_SIMD_WIDTH) { vint unquant_value1(dec_weights_uquant_plane1 + i); vfloat unquant_value1f = int_to_float(unquant_value1) * vfloat(1.0f / 64.0f); storea(unquant_value1f, dec_weight_plane1 + i); vint unquant_value2(dec_weights_uquant_plane2 + i); vfloat unquant_value2f = int_to_float(unquant_value2) * vfloat(1.0f / 64.0f); storea(unquant_value2f, dec_weight_plane2 + i); } alignas(ASTCENC_VECALIGN) float undec_weight_plane1[BLOCK_MAX_TEXELS]; alignas(ASTCENC_VECALIGN) float undec_weight_plane2[BLOCK_MAX_TEXELS]; float* undec_weight_plane1_ref; float* undec_weight_plane2_ref; if (di.max_texel_weight_count == 1) { undec_weight_plane1_ref = dec_weight_plane1; undec_weight_plane2_ref = dec_weight_plane2; } else if (di.max_texel_weight_count <= 2) { for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight = bilinear_infill_vla_2(di, dec_weight_plane1, i); storea(weight, undec_weight_plane1 + i); weight = bilinear_infill_vla_2(di, dec_weight_plane2, i); storea(weight, undec_weight_plane2 + i); } undec_weight_plane1_ref = undec_weight_plane1; undec_weight_plane2_ref = undec_weight_plane2; } else { for (unsigned int i = 0; i < total_texel_count; i += ASTCENC_SIMD_WIDTH) { vfloat weight = bilinear_infill_vla(di, dec_weight_plane1, i); storea(weight, undec_weight_plane1 + i); weight = bilinear_infill_vla(di, dec_weight_plane2, i); storea(weight, undec_weight_plane2 + i); } undec_weight_plane1_ref = undec_weight_plane1; undec_weight_plane2_ref = undec_weight_plane2; } unsigned int texel_count = bsd.texel_count; vfloat4 rgba_weight_sum = max(blk.channel_weight * static_cast(texel_count), 1e-17f); vfloat4 scale_dir = normalize(blk.data_mean.swz<0, 1, 2>()); float scale_max = 0.0f; float scale_min = 1e10f; float wmin1 = 1.0f; float wmax1 = 0.0f; float wmin2 = 1.0f; float wmax2 = 0.0f; float left1_sum_s = 0.0f; float middle1_sum_s = 0.0f; float right1_sum_s = 0.0f; float left2_sum_s = 0.0f; float middle2_sum_s = 0.0f; float right2_sum_s = 0.0f; vfloat4 color_vec_x = vfloat4::zero(); vfloat4 color_vec_y = vfloat4::zero(); vfloat4 scale_vec = vfloat4::zero(); vfloat4 weight_weight_sum = vfloat4(1e-17f); vmask4 p2_mask = vint4::lane_id() == vint4(plane2_component); vfloat4 color_weight = blk.channel_weight; float ls_weight = hadd_rgb_s(color_weight); for (unsigned int j = 0; j < texel_count; j++) { vfloat4 rgba = blk.texel(j); float idx0 = undec_weight_plane1_ref[j]; float om_idx0 = 1.0f - idx0; wmin1 = astc::min(idx0, wmin1); wmax1 = astc::max(idx0, wmax1); float scale = dot3_s(scale_dir, rgba); scale_min = astc::min(scale, scale_min); scale_max = astc::max(scale, scale_max); left1_sum_s += om_idx0 * om_idx0; middle1_sum_s += om_idx0 * idx0; right1_sum_s += idx0 * idx0; float idx1 = undec_weight_plane2_ref[j]; float om_idx1 = 1.0f - idx1; wmin2 = astc::min(idx1, wmin2); wmax2 = astc::max(idx1, wmax2); left2_sum_s += om_idx1 * om_idx1; middle2_sum_s += om_idx1 * idx1; right2_sum_s += idx1 * idx1; vfloat4 color_idx = select(vfloat4(idx0), vfloat4(idx1), p2_mask); vfloat4 cwprod = rgba; vfloat4 cwiprod = cwprod * color_idx; color_vec_y += cwiprod; color_vec_x += cwprod - cwiprod; scale_vec += vfloat2(om_idx0, idx0) * (ls_weight * scale); weight_weight_sum += color_idx; } vfloat4 left1_sum = vfloat4(left1_sum_s) * color_weight; vfloat4 middle1_sum = vfloat4(middle1_sum_s) * color_weight; vfloat4 right1_sum = vfloat4(right1_sum_s) * color_weight; vfloat4 lmrs_sum = vfloat3(left1_sum_s, middle1_sum_s, right1_sum_s) * ls_weight; vfloat4 left2_sum = vfloat4(left2_sum_s) * color_weight; vfloat4 middle2_sum = vfloat4(middle2_sum_s) * color_weight; vfloat4 right2_sum = vfloat4(right2_sum_s) * color_weight; color_vec_x = color_vec_x * color_weight; color_vec_y = color_vec_y * color_weight; // Initialize the luminance and scale vectors with a reasonable default float scalediv = scale_min / astc::max(scale_max, 1e-10f); scalediv = astc::clamp1f(scalediv); vfloat4 sds = scale_dir * scale_max; rgbs_vector = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), scalediv); if (wmin1 >= wmax1 * 0.999f) { // If all weights in the partition were equal, then just take average of all colors in // the partition and use that as both endpoint colors vfloat4 avg = (color_vec_x + color_vec_y) / rgba_weight_sum; vmask4 p1_mask = vint4::lane_id() != vint4(plane2_component); vmask4 notnan_mask = avg == avg; vmask4 full_mask = p1_mask & notnan_mask; ep.endpt0[0] = select(ep.endpt0[0], avg, full_mask); ep.endpt1[0] = select(ep.endpt1[0], avg, full_mask); rgbs_vector = vfloat4(sds.lane<0>(), sds.lane<1>(), sds.lane<2>(), 1.0f); } else { // Otherwise, complete the analytic calculation of ideal-endpoint-values for the given // set of texel weights and pixel colors vfloat4 color_det1 = (left1_sum * right1_sum) - (middle1_sum * middle1_sum); vfloat4 color_rdet1 = 1.0f / color_det1; float ls_det1 = (lmrs_sum.lane<0>() * lmrs_sum.lane<2>()) - (lmrs_sum.lane<1>() * lmrs_sum.lane<1>()); float ls_rdet1 = 1.0f / ls_det1; vfloat4 color_mss1 = (left1_sum * left1_sum) + (2.0f * middle1_sum * middle1_sum) + (right1_sum * right1_sum); float ls_mss1 = (lmrs_sum.lane<0>() * lmrs_sum.lane<0>()) + (2.0f * lmrs_sum.lane<1>() * lmrs_sum.lane<1>()) + (lmrs_sum.lane<2>() * lmrs_sum.lane<2>()); vfloat4 ep0 = (right1_sum * color_vec_x - middle1_sum * color_vec_y) * color_rdet1; vfloat4 ep1 = (left1_sum * color_vec_y - middle1_sum * color_vec_x) * color_rdet1; float scale_ep0 = (lmrs_sum.lane<2>() * scale_vec.lane<0>() - lmrs_sum.lane<1>() * scale_vec.lane<1>()) * ls_rdet1; float scale_ep1 = (lmrs_sum.lane<0>() * scale_vec.lane<1>() - lmrs_sum.lane<1>() * scale_vec.lane<0>()) * ls_rdet1; vmask4 p1_mask = vint4::lane_id() != vint4(plane2_component); vmask4 det_mask = abs(color_det1) > (color_mss1 * 1e-4f); vmask4 notnan_mask = (ep0 == ep0) & (ep1 == ep1); vmask4 full_mask = p1_mask & det_mask & notnan_mask; ep.endpt0[0] = select(ep.endpt0[0], ep0, full_mask); ep.endpt1[0] = select(ep.endpt1[0], ep1, full_mask); if (fabsf(ls_det1) > (ls_mss1 * 1e-4f) && scale_ep0 == scale_ep0 && scale_ep1 == scale_ep1 && scale_ep0 < scale_ep1) { float scalediv2 = scale_ep0 / scale_ep1; vfloat4 sdsm = scale_dir * scale_ep1; rgbs_vector = vfloat4(sdsm.lane<0>(), sdsm.lane<1>(), sdsm.lane<2>(), scalediv2); } } if (wmin2 >= wmax2 * 0.999f) { // If all weights in the partition were equal, then just take average of all colors in // the partition and use that as both endpoint colors vfloat4 avg = (color_vec_x + color_vec_y) / rgba_weight_sum; vmask4 notnan_mask = avg == avg; vmask4 full_mask = p2_mask & notnan_mask; ep.endpt0[0] = select(ep.endpt0[0], avg, full_mask); ep.endpt1[0] = select(ep.endpt1[0], avg, full_mask); } else { // Otherwise, complete the analytic calculation of ideal-endpoint-values for the given // set of texel weights and pixel colors vfloat4 color_det2 = (left2_sum * right2_sum) - (middle2_sum * middle2_sum); vfloat4 color_rdet2 = 1.0f / color_det2; vfloat4 color_mss2 = (left2_sum * left2_sum) + (2.0f * middle2_sum * middle2_sum) + (right2_sum * right2_sum); vfloat4 ep0 = (right2_sum * color_vec_x - middle2_sum * color_vec_y) * color_rdet2; vfloat4 ep1 = (left2_sum * color_vec_y - middle2_sum * color_vec_x) * color_rdet2; vmask4 det_mask = abs(color_det2) > (color_mss2 * 1e-4f); vmask4 notnan_mask = (ep0 == ep0) & (ep1 == ep1); vmask4 full_mask = p2_mask & det_mask & notnan_mask; ep.endpt0[0] = select(ep.endpt0[0], ep0, full_mask); ep.endpt1[0] = select(ep.endpt1[0], ep1, full_mask); } // Calculations specific to mode #7, the HDR RGB-scale mode - skip if known LDR if (blk.rgb_lns[0] || blk.alpha_lns[0]) { weight_weight_sum = weight_weight_sum * color_weight; float psum = dot3_s(select(right1_sum, right2_sum, p2_mask), color_weight); vfloat4 rgbq_sum = color_vec_x + color_vec_y; rgbq_sum.set_lane<3>(hadd_rgb_s(color_vec_y)); rgbo_vector = compute_rgbo_vector(rgba_weight_sum, weight_weight_sum, rgbq_sum, psum); // We can get a failure due to the use of a singular (non-invertible) matrix // If it failed, compute rgbo_vectors[] with a different method ... if (astc::isnan(dot_s(rgbo_vector, rgbo_vector))) { vfloat4 v0 = ep.endpt0[0]; vfloat4 v1 = ep.endpt1[0]; float avgdif = hadd_rgb_s(v1 - v0) * (1.0f / 3.0f); avgdif = astc::max(avgdif, 0.0f); vfloat4 avg = (v0 + v1) * 0.5f; vfloat4 ep0 = avg - vfloat4(avgdif) * 0.5f; rgbo_vector = vfloat4(ep0.lane<0>(), ep0.lane<1>(), ep0.lane<2>(), avgdif); } } } #endif