matmul.ts

const adapter = await navigator.gpu.requestAdapter();
if (!adapter) throw new Error("Failed to get GPU adapter.");
const device = await adapter.requestDevice();

// First Matrix

const firstMatrix = new Float32Array([
  2 /* rows */,
  4 /* columns */,
  1,
  2,
  3,
  4,
  5,
  6,
  7,
  8
]);

const gpuBufferFirstMatrix = device.createBuffer({
  mappedAtCreation: true,
  size: firstMatrix.byteLength,
  usage: GPUBufferUsage.STORAGE
});
const arrayBufferFirstMatrix = gpuBufferFirstMatrix.getMappedRange();
new Float32Array(arrayBufferFirstMatrix).set(firstMatrix);
gpuBufferFirstMatrix.unmap();

// Second Matrix

const secondMatrix = new Float32Array([
  4 /* rows */,
  2 /* columns */,
  1,
  2,
  3,
  4,
  5,
  6,
  7,
  8
]);

const gpuBufferSecondMatrix = device.createBuffer({
  mappedAtCreation: true,
  size: secondMatrix.byteLength,
  usage: GPUBufferUsage.STORAGE
});
const arrayBufferSecondMatrix = gpuBufferSecondMatrix.getMappedRange();
new Float32Array(arrayBufferSecondMatrix).set(secondMatrix);
gpuBufferSecondMatrix.unmap();

// Result Matrix

const resultMatrixBufferSize =
  Float32Array.BYTES_PER_ELEMENT * (2 + firstMatrix[0] * secondMatrix[1]);
const resultMatrixBuffer = device.createBuffer({
  size: resultMatrixBufferSize,
  usage: GPUBufferUsage.STORAGE | GPUBufferUsage.COPY_SRC
});

// Bind group layout and bind group

const bindGroupLayout = device.createBindGroupLayout({
  entries: [
    {
      binding: 0,
      visibility: GPUShaderStage.COMPUTE,
      buffer: {
        type: "read-only-storage"
      }
    },
    {
      binding: 1,
      visibility: GPUShaderStage.COMPUTE,
      buffer: {
        type: "read-only-storage"
      }
    },
    {
      binding: 2,
      visibility: GPUShaderStage.COMPUTE,
      buffer: {
        type: "storage"
      }
    }
  ]
});

const bindGroup = device.createBindGroup({
  layout: bindGroupLayout,
  entries: [
    {
      binding: 0,
      resource: {
        buffer: gpuBufferFirstMatrix
      }
    },
    {
      binding: 1,
      resource: {
        buffer: gpuBufferSecondMatrix
      }
    },
    {
      binding: 2,
      resource: {
        buffer: resultMatrixBuffer
      }
    }
  ]
});

// Compute shader code

const shaderModule = device.createShaderModule({
  code: `
    struct Matrix {
      size : vec2<f32>,
      numbers: array<f32>,
    }

    @group(0) @binding(0) var<storage, read> firstMatrix : Matrix;
    @group(0) @binding(1) var<storage, read> secondMatrix : Matrix;
    @group(0) @binding(2) var<storage, write> resultMatrix : Matrix;

    @compute @workgroup_size(8, 8)
    fn main(@builtin(global_invocation_id) global_id : vec3<u32>) {
      // Guard against out-of-bounds work group sizes
      if (global_id.x >= u32(firstMatrix.size.x) || global_id.y >= u32(secondMatrix.size.y)) {
        return;
      }

      resultMatrix.size = vec2<f32>(firstMatrix.size.x, secondMatrix.size.y);

      let resultCell = vec2<f32>(global_id.x, global_id.y);
      var result = 0.0;
      for (var i = 0u; i < u32(firstMatrix.size.y); i = i + 1u) {
        let a = i + resultCell.x * u32(firstMatrix.size.y);
        let b = resultCell.y + i * u32(secondMatrix.size.y);
        result = result + firstMatrix.numbers[a] * secondMatrix.numbers[b];
      }

      let index = resultCell.y + resultCell.x * u32(secondMatrix.size.y);
      resultMatrix.numbers[index] = result;
    }
  `
});

// Pipeline setup

const computePipeline = device.createComputePipeline({
  layout: device.createPipelineLayout({
    bindGroupLayouts: [bindGroupLayout]
  }),
  compute: {
    module: shaderModule,
    entryPoint: "main"
  }
});

// Commands submission

const commandEncoder = device.createCommandEncoder();

const passEncoder = commandEncoder.beginComputePass();
passEncoder.setPipeline(computePipeline);
passEncoder.setBindGroup(0, bindGroup);
const workgroupCountX = Math.ceil(firstMatrix[0] / 8);
const workgroupCountY = Math.ceil(secondMatrix[1] / 8);
passEncoder.dispatchWorkgroups(workgroupCountX, workgroupCountY);
passEncoder.end();

// Get a GPU buffer for reading in an unmapped state.
const gpuReadBuffer = device.createBuffer({
  size: resultMatrixBufferSize,
  usage: GPUBufferUsage.COPY_DST | GPUBufferUsage.MAP_READ
});

// Encode commands for copying buffer to buffer.
commandEncoder.copyBufferToBuffer(
  resultMatrixBuffer /* source buffer */,
  0 /* source offset */,
  gpuReadBuffer /* destination buffer */,
  0 /* destination offset */,
  resultMatrixBufferSize /* size */
);

// Submit GPU commands.
const gpuCommands = commandEncoder.finish();
device.queue.submit([gpuCommands]);

// Read buffer.
await gpuReadBuffer.mapAsync(GPUMapMode.READ);
const arrayBuffer = gpuReadBuffer.getMappedRange();
console.log(new Float32Array(arrayBuffer));