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// Copyright (c) Microsoft Corporation. All rights reserved.
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// Licensed under the MIT License.
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import { DataType } from '../../../wasm-common';
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import { TensorView } from '../../tensor-view';
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import { BroadcastUtil, ShapeUtil } from '../../util';
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import { ComputeContext, ProgramInfo, ProgramUniform } from '../types';
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import { createMatmulProgramInfo } from './3rd-party/matmul_packed_webgpu';
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createTensorShapeVariables,
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tensorTypeToWsglStorageType,
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appendActivationUniforms,
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appendActivationUniformsData,
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InternalActivationAttributes,
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export const createNaiveMatmulProgramInfo = (
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inputs: readonly TensorView[],
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activationAttributes: InternalActivationAttributes,
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outputShape: readonly number[],
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reshapedOutputShape?: readonly number[],
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isChannelsLast = false /* only used for conv2dByMatMul*/,
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squeezeOutputShapeFunction?: (shape: readonly number[]) => number[],
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const aShape = inputs[0].dims;
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const bShape = inputs[1].dims;
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const M = aShape[aShape.length - 2];
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const N = bShape[bShape.length - 1];
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const K = aShape[aShape.length - 1];
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const components = getMaxComponents(N);
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const aComponents = getMaxComponents(K);
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const outputNumber = getMaxComponents(M);
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const outputSize = ShapeUtil.size(outputShape) / components / outputNumber;
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const hasBias = inputs.length > 2;
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const outerDims = reshapedOutputShape ? reshapedOutputShape.slice(0, -2) : outputShape.slice(0, -2);
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const batchSize = ShapeUtil.size(outerDims);
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const outputShapeInShader = [batchSize, M, N];
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const programUniforms: ProgramUniform[] = [
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{ type: DataType.uint32, data: outputSize },
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{ type: DataType.uint32, data: M },
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{ type: DataType.uint32, data: N },
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{ type: DataType.uint32, data: K },
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appendActivationUniformsData(activationAttributes, programUniforms);
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programUniforms.push(...createTensorShapeVariables(outerDims, aShape, bShape));
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programUniforms.push(...createTensorShapeVariables(inputs[2].dims));
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programUniforms.push(...createTensorShapeVariables(outputShapeInShader));
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const getShaderSource = (shaderHelper: ShaderHelper) => {
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const batchDims = internalVariable('batch_dims', inputs[0].dataType, outerDims.length);
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const a = inputVariable('a', inputs[0].dataType, aShape.length, aComponents);
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const b = inputVariable('b', inputs[1].dataType, bShape.length, components);
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const output = outputVariable('output', inputs[0].dataType, outputShapeInShader.length, components);
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const baseType = tensorTypeToWsglStorageType(output.type.tensor);
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const applyActivation = getActivationSnippet(activationAttributes, output.type.value, baseType);
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const inputVariables = [a, b];
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const biasComponents = isChannelsLast ? components : 1;
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inputVariables.push(inputVariable('bias', inputs[2].dataType, inputs[2].dims.length, biasComponents));
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isChannelsLast ? `value += bias[col / ${biasComponents}];` : `value += ${output.type.value}(bias[row + i]);`
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const outerDimsA = aShape.slice(0, -2);
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const outerDimsB = bShape.slice(0, -2);
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const broadCastADims = getBroadcastDims(outerDimsA, outerDims);
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const broadCastBDims = getBroadcastDims(outerDimsB, outerDims);
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const uniforms: UniformsArrayType = [
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{ name: 'output_size', type: 'u32' },
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{ name: 'M', type: 'u32' },
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{ name: 'N', type: 'u32' },
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{ name: 'K', type: 'u32' },
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appendActivationUniforms(activationAttributes, uniforms);
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const getIndices = (variable: IndicesHelper, broadCastDims: number[]) => {
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const rank = variable.rank;
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const name = variable.name;
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return `var ${name}_indices = ${variable.type.indices}(0u, 0u);`;
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const batchRank = batchDims.rank;
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let resStr = `var ${name}_indices: ${variable.type.indices};`;
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for (let i = rank - 2 - 1, j = batchRank - 1; i >= 0; i--, j--) {
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resStr += `\n${name}_indices[${i}] = ${batchRank > 1 ? `batch_indices[${j}]` : 'batch_indices'};`;
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broadCastDims.forEach((i) => {
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resStr += `\n${name}_indices[${i}] = 0;`;
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resStr += `${name}_indices[${rank - 2}] = 0u;
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${name}_indices[${rank - 1}] = 0u;`;
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const calcResult = (): string => {
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let calcStr = `var a_data: ${a.type.value};`;
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for (let i = 0; i < aComponents; i++) {
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let b_data${i} = b[(b_offset + (k + ${i}) * uniforms.N + col) / ${components}];`;
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for (let i = 0; i < outputNumber; i++) {
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calcStr += `a_data = a[(a_offset + (row + ${i}) * uniforms.K + k) / ${aComponents}];`;
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for (let j = 0; j < aComponents; j++) {
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values[${i}] = fma(${b.type.value}(a_data${aComponents === 1 ? '' : `[${j}]`}), b_data${j}, values[${i}]);\n`;
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.registerUniforms(uniforms)
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.registerInternalVariables(batchDims)
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.declareVariables(...inputVariables, output)}
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${shaderHelper.mainStart()}
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${shaderHelper.guardAgainstOutOfBoundsWorkgroupSizes('uniforms.output_size')}
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let col = (global_idx % (uniforms.N / ${components})) * ${components};
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var index1 = global_idx / (uniforms.N / ${components});
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let stride1 = uniforms.M / ${outputNumber};
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let row = (index1 % stride1) * ${outputNumber};
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let batch = index1 / stride1;
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${outputShape.length === 2 ? '' : `let batch_indices = ${batchDims.offsetToIndices('batch')};`}
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${getIndices(a, broadCastADims)}
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let a_offset = ${a.indicesToOffset('a_indices')};
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${getIndices(b, broadCastBDims)}
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let b_offset = ${b.indicesToOffset('b_indices')};
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var values: array<${output.type.value}, ${outputNumber}>;
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for (var k: u32 = 0u; k < uniforms.K; k = k + ${aComponents}) {
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for (var i = 0u; i < ${outputNumber}u; i++) {
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var value = values[i];
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let cur_indices = ${output.type.indices}(batch, row + i, col);
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let offset = ${output.indicesToOffset('cur_indices')};
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${output.setByOffset(`offset / ${components}`, 'value')};
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hint: `${activationAttributes.activation};${components};${aComponents};${outputNumber};${isChannelsLast}`,
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inputDependencies: hasBias ? ['rank', 'rank', 'rank'] : ['rank', 'rank'],
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dims: squeezeOutputShapeFunction ? squeezeOutputShapeFunction(outputShape) : outputShape,
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dataType: inputs[0].dataType,
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dispatchGroup: { x: Math.ceil(outputSize / 64 /* workgroup size */) },
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const validateInputs = (inputs: readonly TensorView[]): void => {
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if (!inputs || inputs.length !== 2) {
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throw new Error('MatMul requires 2 inputs.');
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if (inputs[0].dims[inputs[0].dims.length - 1] !== inputs[1].dims[inputs[1].dims.length - 2]) {
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throw new Error('shared dimension does not match.');
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export const matMul = (context: ComputeContext): void => {
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validateInputs(context.inputs);
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const outputShape = BroadcastUtil.calcShape(context.inputs[0].dims, context.inputs[1].dims, true);
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throw new Error("Can't use matmul on the given tensors");
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const N = outputShape[outputShape.length - 1];
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const K = context.inputs[0].dims[context.inputs[0].dims.length - 1];
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if (N < 8 && K < 8) {
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context.compute(createNaiveMatmulProgramInfo(context.inputs, { activation: '' }, outputShape));
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context.compute(createMatmulProgramInfo(context.inputs, { activation: '' }, outputShape));