struct Uniforms { dimAOuter : u32; dimInner : u32; dimBOuter : u32; } struct Matrix { numbers : array; } @group(0) @binding(0) var firstMatrix : Matrix; @group(0) @binding(1) var secondMatrix : Matrix; @group(0) @binding(2) var resultMatrix : Matrix; @group(0) @binding(3) var uniforms : Uniforms; fn mm_readA(row : u32, col : u32) -> f32 { if (((row < uniforms.dimAOuter) && (col < uniforms.dimInner))) { let result : f32 = firstMatrix.numbers[((row * uniforms.dimInner) + col)]; return result; } return 0.0; } fn mm_readB(row : u32, col : u32) -> f32 { if (((row < uniforms.dimInner) && (col < uniforms.dimBOuter))) { let result : f32 = secondMatrix.numbers[((row * uniforms.dimBOuter) + col)]; return result; } return 0.0; } fn mm_write(row : u32, col : u32, value : f32) { if (((row < uniforms.dimAOuter) && (col < uniforms.dimBOuter))) { let index : u32 = (col + (row * uniforms.dimBOuter)); resultMatrix.numbers[index] = value; } } let RowPerThread : u32 = 4u; let ColPerThread : u32 = 4u; let TileAOuter : u32 = 64u; let TileBOuter : u32 = 64u; let TileInner : u32 = 64u; var mm_Asub : array, 64>; var mm_Bsub : array, 64>; @stage(compute) @workgroup_size(16, 16, 1) fn main(@builtin(local_invocation_id) local_id : vec3, @builtin(global_invocation_id) global_id : vec3) { let tileRow : u32 = (local_id.y * RowPerThread); let tileCol : u32 = (local_id.x * ColPerThread); let globalRow : u32 = (global_id.y * RowPerThread); let globalCol : u32 = (global_id.x * ColPerThread); let numTiles : u32 = (((uniforms.dimInner - 1u) / TileInner) + 1u); var acc : array; var ACached : f32; var BCached : array; for(var index : u32 = 0u; (index < (RowPerThread * ColPerThread)); index = (index + 1u)) { acc[index] = 0.0; } let ColPerThreadA : u32 = (TileInner / 16u); let tileColA : u32 = (local_id.x * ColPerThreadA); let RowPerThreadB : u32 = (TileInner / 16u); let tileRowB : u32 = (local_id.y * RowPerThreadB); for(var t : u32 = 0u; (t < numTiles); t = (t + 1u)) { for(var innerRow : u32 = 0u; (innerRow < RowPerThread); innerRow = (innerRow + 1u)) { for(var innerCol : u32 = 0u; (innerCol < ColPerThreadA); innerCol = (innerCol + 1u)) { let inputRow : u32 = (tileRow + innerRow); let inputCol : u32 = (tileColA + innerCol); mm_Asub[inputRow][inputCol] = mm_readA((globalRow + innerRow), ((t * TileInner) + inputCol)); } } for(var innerRow : u32 = 0u; (innerRow < RowPerThreadB); innerRow = (innerRow + 1u)) { for(var innerCol : u32 = 0u; (innerCol < ColPerThread); innerCol = (innerCol + 1u)) { let inputRow : u32 = (tileRowB + innerRow); let inputCol : u32 = (tileCol + innerCol); mm_Bsub[innerCol][inputCol] = mm_readB(((t * TileInner) + inputRow), (globalCol + innerCol)); } } workgroupBarrier(); for(var k : u32 = 0u; (k < TileInner); k = (k + 1u)) { for(var inner : u32 = 0u; (inner < ColPerThread); inner = (inner + 1u)) { BCached[inner] = mm_Bsub[k][(tileCol + inner)]; } for(var innerRow : u32 = 0u; (innerRow < RowPerThread); innerRow = (innerRow + 1u)) { ACached = mm_Asub[(tileRow + innerRow)][k]; for(var innerCol : u32 = 0u; (innerCol < ColPerThread); innerCol = (innerCol + 1u)) { let index : u32 = ((innerRow * ColPerThread) + innerCol); acc[index] = (acc[index] + (ACached * BCached[innerCol])); } } } workgroupBarrier(); } for(var innerRow : u32 = 0u; (innerRow < RowPerThread); innerRow = (innerRow + 1u)) { for(var innerCol : u32 = 0u; (innerCol < ColPerThread); innerCol = (innerCol + 1u)) { let index : u32 = ((innerRow * ColPerThread) + innerCol); mm_write((globalRow + innerRow), (globalCol + innerCol), acc[index]); } } }