#version 450 // Copyright (c) 2025 Hans-Kristian Arntzen // SPDX-License-Identifier: MIT #extension GL_KHR_shader_subgroup_basic : require #if FP16 #extension GL_EXT_shader_explicit_arithmetic_types_float16 : require #endif layout(local_size_x = 64) in; layout(set = 0, binding = 0) uniform mediump sampler2D uTexture; layout(set = 0, binding = 1) writeonly uniform mediump image2DArray uOutput; layout(constant_id = 0) const bool DCShift = false; layout(push_constant) uniform Registers { ivec2 resolution; vec2 inv_resolution; ivec2 aligned_resolution; }; uint local_index; #include "dwt_common.h" vec2 generate_mirror_uv(ivec2 coord) { coord -= ivec2(lessThan(coord, ivec2(0))); coord += 1; ivec2 end_mirrored_clamp = (2 * aligned_resolution) - resolution; ivec2 past_wrapped_coord = coord + 2 * (resolution - aligned_resolution) + 1; coord = mix(min(coord, resolution), past_wrapped_coord, greaterThanEqual(coord, end_mirrored_clamp)); return vec2(coord) * inv_resolution; } void load_image_with_apron() { ivec2 base_coord = ivec2(gl_WorkGroupID.xy) * ivec2(BLOCK_SIZE, BLOCK_SIZE) - APRON; ivec2 local_coord0 = 2 * unswizzle8x8(local_index); ivec2 coord0 = base_coord + local_coord0; VEC4 texels0 = VEC4(textureGather(uTexture, generate_mirror_uv(coord0))).wzxy; VEC4 texels1 = VEC4(textureGather(uTexture, generate_mirror_uv(coord0 + ivec2(16, 0)))).wzxy; VEC4 texels2 = VEC4(textureGather(uTexture, generate_mirror_uv(coord0 + ivec2(0, 16)))).wzxy; VEC4 texels3 = VEC4(textureGather(uTexture, generate_mirror_uv(coord0 + ivec2(16, 16)))).wzxy; if (DCShift) { texels0 -= FLOAT(0.5); texels1 -= FLOAT(0.5); texels2 -= FLOAT(0.5); texels3 -= FLOAT(0.5); } int local_coord0_y_half = local_coord0.y >> 1; // Pack two lines together in one vec2. This allows packed FP16 math easily by processing two lines in parallel. store_shared(local_coord0_y_half + 0, local_coord0.x + 0, texels0.xz); store_shared(local_coord0_y_half + 0, local_coord0.x + 1, texels0.yw); store_shared(local_coord0_y_half + 0, local_coord0.x + 16, texels1.xz); store_shared(local_coord0_y_half + 0, local_coord0.x + 17, texels1.yw); store_shared(local_coord0_y_half + 8, local_coord0.x + 0, texels2.xz); store_shared(local_coord0_y_half + 8, local_coord0.x + 1, texels2.yw); store_shared(local_coord0_y_half + 8, local_coord0.x + 16, texels3.xz); store_shared(local_coord0_y_half + 8, local_coord0.x + 17, texels3.yw); // Load the top-right apron { ivec2 local_coord = ivec2(BLOCK_SIZE + 2 * (local_index % 4u), 2 * (local_index / 4u)); VEC4 texels = VEC4(textureGather(uTexture, generate_mirror_uv(base_coord + local_coord))).wzxy; if (DCShift) { texels -= FLOAT(0.5); } store_shared(local_coord.y >> 1, local_coord.x + 0, texels.xz); store_shared(local_coord.y >> 1, local_coord.x + 1, texels.yw); } // Load the bottom-left apron { ivec2 local_coord = ivec2(2 * (local_index % 16u), BLOCK_SIZE + 2 * (local_index / 16u)); VEC4 texels = VEC4(textureGather(uTexture, generate_mirror_uv(base_coord + local_coord))).wzxy; if (DCShift) { texels -= FLOAT(0.5); } store_shared(local_coord.y >> 1, local_coord.x + 0, texels.xz); store_shared(local_coord.y >> 1, local_coord.x + 1, texels.yw); } if (local_index < 16) { // Load the bottom-right apron ivec2 local_coord = ivec2(BLOCK_SIZE + 2 * (local_index % 4u), BLOCK_SIZE + 2 * (local_index / 4u)); VEC4 texels = VEC4(textureGather(uTexture, generate_mirror_uv(base_coord + local_coord))).wzxy; if (DCShift) { texels -= FLOAT(0.5); } store_shared(local_coord.y >> 1, local_coord.x + 0, texels.xz); store_shared(local_coord.y >> 1, local_coord.x + 1, texels.yw); } } void forward_transform8x2() { const int SIZE = 8; const int PADDED_SIZE = SIZE + 2 * APRON; const int PADDED_SIZE_HALF = PADDED_SIZE / 2; VEC2 values[PADDED_SIZE]; ivec2 local_coord = ivec2(8 * (local_index % 4u), local_index / 4u); for (int i = 0; i < PADDED_SIZE; i++) { VEC2 v = load_shared(local_coord.y, local_coord.x + i); values[i] = v; } // CDF 9/7 lifting steps. // Arith go brrr. for (int i = 1; i < PADDED_SIZE - 1; i += 2) values[i] += ALPHA * (values[i - 1] + values[i + 1]); for (int i = 2; i < PADDED_SIZE - 2; i += 2) values[i] += BETA * (values[i - 1] + values[i + 1]); for (int i = 3; i < PADDED_SIZE - 3; i += 2) values[i] += GAMMA * (values[i - 1] + values[i + 1]); for (int i = 4; i < PADDED_SIZE - 4; i += 2) values[i] += DELTA * (values[i - 1] + values[i + 1]); // Avoid WAR hazard. barrier(); for (int i = APRON_HALF; i < PADDED_SIZE_HALF - APRON_HALF; i++) { VEC2 a = values[2 * i + 0]; VEC2 b = values[2 * i + 1]; // Filter kernel rescale. a *= inv_K; b *= K; // Transpose the 2x2 block. VEC2 t0 = VEC2(a.x, b.x); VEC2 t1 = VEC2(a.y, b.y); // Transpose write int y_coord = (local_coord.x >> 1) + (i - APRON_HALF); store_shared(y_coord, 2 * local_coord.y + 0, t0); store_shared(y_coord, 2 * local_coord.y + 1, t1); } } void forward_transform4x2(bool active_lane, int y_offset) { const int SIZE = 4; const int PADDED_SIZE = SIZE + 2 * APRON; const int PADDED_SIZE_HALF = PADDED_SIZE / 2; VEC2 values[PADDED_SIZE]; ivec2 local_coord = ivec2(4 * (local_index % 8u), local_index / 8u + y_offset); if (active_lane) { for (int i = 0; i < PADDED_SIZE; i++) { VEC2 v = load_shared(local_coord.y, local_coord.x + i); values[i] = v; } // CDF 9/7 lifting steps. // Arith go brrr. for (int i = 1; i < PADDED_SIZE - 1; i += 2) values[i] += ALPHA * (values[i - 1] + values[i + 1]); for (int i = 2; i < PADDED_SIZE - 2; i += 2) values[i] += BETA * (values[i - 1] + values[i + 1]); for (int i = 3; i < PADDED_SIZE - 3; i += 2) values[i] += GAMMA * (values[i - 1] + values[i + 1]); for (int i = 4; i < PADDED_SIZE - 4; i += 2) values[i] += DELTA * (values[i - 1] + values[i + 1]); } // Avoid WAR hazard. barrier(); if (active_lane) { for (int i = APRON_HALF; i < PADDED_SIZE_HALF - APRON_HALF; i++) { VEC2 a = values[2 * i + 0]; VEC2 b = values[2 * i + 1]; // Filter kernel rescale. a *= inv_K; b *= K; // Transpose the 2x2 block. VEC2 t0 = VEC2(a.x, b.x); VEC2 t1 = VEC2(a.y, b.y); // Transpose write int y_coord = (local_coord.x >> 1) + (i - APRON_HALF); store_shared(y_coord, 2 * local_coord.y + 0, t0); store_shared(y_coord, 2 * local_coord.y + 1, t1); } } } void main() { local_index = gl_SubgroupID * gl_SubgroupSize + gl_SubgroupInvocationID; load_image_with_apron(); barrier(); // Horizontal transform. forward_transform8x2(); // Also need to transform the apron. forward_transform4x2(local_index < 32, BLOCK_SIZE_HALF); barrier(); // Vertical transform. forward_transform8x2(); barrier(); ivec2 local_coord = unswizzle8x8(local_index); for (int y = local_coord.y; y < BLOCK_SIZE_HALF; y += 8) { for (int x = local_coord.x * 2; x < BLOCK_SIZE; x += 16) { VEC2 v0 = load_shared(y, x + 0); VEC2 v1 = load_shared(y, x + 1); int img_x = x >> 1; int img_y = y; ivec2 base_image_coord = ivec2(gl_WorkGroupID.xy) * (BLOCK_SIZE / 2) + ivec2(img_x, img_y); imageStore(uOutput, ivec3(base_image_coord, 0), v0.xxxx); imageStore(uOutput, ivec3(base_image_coord, 2), v0.yyyy); imageStore(uOutput, ivec3(base_image_coord, 1), v1.xxxx); imageStore(uOutput, ivec3(base_image_coord, 3), v1.yyyy); } } }