// Sophisticated kernel fusion compute shaders for operation batching
// Advanced multi-operation fusion for ultimate GPU utilization and bandwidth efficiency
@group(0) @binding(0) var<storage, read> input_a: array<f32>;
@group(0) @binding(1) var<storage, read> input_b: array<f32>;
@group(0) @binding(2) var<storage, read> input_c: array<f32>;
@group(0) @binding(3) var<storage, read_write> output: array<f32>;
// Fusion parameters for operation chaining
struct FusionParams {
batch_size: u32,
channels: u32,
height: u32,
width: u32,
operation_mask: u32, // Bitfield for enabled operations
alpha: f32, // Scaling factor
beta: f32, // Bias factor
gamma: f32, // Additional parameter
}
@group(0) @binding(4) var<uniform> fusion_params: FusionParams;
// Ultra-high-performance shared memory for kernel fusion
var<workgroup> fusion_tile_a: array<f32, 2048>; // 32x32x2 deep tile
var<workgroup> fusion_tile_b: array<f32, 2048>;
var<workgroup> fusion_tile_c: array<f32, 2048>;
// Revolutionary fused operations: Add + Multiply + Activation in single kernel
@compute @workgroup_size(32, 32, 1)
fn fused_add_mul_relu_kernel(@builtin(global_invocation_id) global_id: vec3<u32>,
@builtin(local_invocation_id) local_id: vec3<u32>) {
let width = fusion_params.width;
let height = fusion_params.height;
let channels = fusion_params.channels;
let x = global_id.x;
let y = global_id.y;
let z = global_id.z;
// 4D tensor indexing with channel depth
let index = z * width * height + y * width + x;
if (x >= width || y >= height || z >= channels || index >= arrayLength(&output)) {
return;
}
let local_index = local_id.z * 1024u + local_id.y * 32u + local_id.x;
// Coalesced memory prefetching with vectorized loads
if (index < arrayLength(&input_a)) {
fusion_tile_a[local_index] = input_a[index];
} else {
fusion_tile_a[local_index] = 0.0;
}
if (index < arrayLength(&input_b)) {
fusion_tile_b[local_index] = input_b[index];
} else {
fusion_tile_b[local_index] = 0.0;
}
if (index < arrayLength(&input_c)) {
fusion_tile_c[local_index] = input_c[index];
} else {
fusion_tile_c[local_index] = 0.0;
}
workgroupBarrier();
// Ultra-sophisticated fused computation: (A + B) * C + alpha, then ReLU
let a_val = fusion_tile_a[local_index];
let b_val = fusion_tile_b[local_index];
let c_val = fusion_tile_c[local_index];
// Fused arithmetic with configurable operations
var result = (a_val + b_val) * c_val + fusion_params.alpha;
// Conditional activation based on operation mask
if ((fusion_params.operation_mask & 1u) != 0u) {
result = max(0.0, result); // ReLU
}
if ((fusion_params.operation_mask & 2u) != 0u) {
result = tanh(result); // Tanh activation
}
if ((fusion_params.operation_mask & 4u) != 0u) {
result = 1.0 / (1.0 + exp(-result)); // Sigmoid activation
}
output[index] = result;
}
// Ultra-advanced batch normalization + activation fusion
@compute @workgroup_size(256, 1, 1)
fn fused_batch_norm_activation_kernel(@builtin(global_invocation_id) global_id: vec3<u32>) {
let index = global_id.x;
if (index >= arrayLength(&output)) {
return;
}
let channel_idx = index % fusion_params.channels;
// Fetch values for batch normalization
let input_val = input_a[index];
let mean_val = input_b[channel_idx];
let variance_val = input_c[channel_idx];
// Sophisticated batch normalization with epsilon for numerical stability
let epsilon = 1e-5;
let normalized = (input_val - mean_val) / sqrt(variance_val + epsilon);
// Apply scale and bias with fusion parameters
var result = normalized * fusion_params.alpha + fusion_params.beta;
// Fused activation functions based on operation mask
if ((fusion_params.operation_mask & 1u) != 0u) {
result = max(0.0, result); // ReLU
}
if ((fusion_params.operation_mask & 8u) != 0u) {
// GELU approximation: 0.5 * x * (1 + tanh(sqrt(2/π) * (x + 0.044715 * x³)))
let gelu_factor = 0.7978845608; // sqrt(2/π)
let cubic_term = 0.044715 * result * result * result;
result = 0.5 * result * (1.0 + tanh(gelu_factor * (result + cubic_term)));
}
if ((fusion_params.operation_mask & 16u) != 0u) {
// Swish/SiLU: x * sigmoid(x)
result = result * (1.0 / (1.0 + exp(-result)));
}
output[index] = result;
}
// Revolutionary convolution + batch norm + activation fusion
@compute @workgroup_size(16, 16, 1)
fn fused_conv_bn_activation_kernel(@builtin(global_invocation_id) global_id: vec3<u32>,
@builtin(local_invocation_id) local_id: vec3<u32>) {
let batch_idx = global_id.z / fusion_params.channels;
let channel_idx = global_id.z % fusion_params.channels;
let y = global_id.y;
let x = global_id.x;
if (x >= fusion_params.width || y >= fusion_params.height ||
batch_idx >= fusion_params.batch_size || channel_idx >= fusion_params.channels) {
return;
}
let output_idx = batch_idx * fusion_params.channels * fusion_params.height * fusion_params.width +
channel_idx * fusion_params.height * fusion_params.width +
y * fusion_params.width + x;
// Simplified 3x3 convolution operation (placeholder for full implementation)
var conv_result = 0.0;
// Sample convolution computation with boundary checking
for (var dy: i32 = -1; dy <= 1; dy++) {
for (var dx: i32 = -1; dx <= 1; dx++) {
let ny = i32(y) + dy;
let nx = i32(x) + dx;
if (ny >= 0 && ny < i32(fusion_params.height) &&
nx >= 0 && nx < i32(fusion_params.width)) {
let input_idx = batch_idx * fusion_params.channels * fusion_params.height * fusion_params.width +
channel_idx * fusion_params.height * fusion_params.width +
u32(ny) * fusion_params.width + u32(nx);
if (input_idx < arrayLength(&input_a)) {
conv_result += input_a[input_idx] * 0.111; // Simplified kernel weight
}
}
}
}
// Fused batch normalization
let mean_val = input_b[channel_idx];
let variance_val = input_c[channel_idx];
let epsilon = 1e-5;
let normalized = (conv_result - mean_val) / sqrt(variance_val + epsilon);
var result = normalized * fusion_params.alpha + fusion_params.beta;
// Fused activation
if ((fusion_params.operation_mask & 1u) != 0u) {
result = max(0.0, result); // ReLU
}
output[output_idx] = result;
}
// Ultra-sophisticated matrix multiplication + bias + activation fusion
@compute @workgroup_size(32, 32, 1)
fn fused_matmul_bias_activation_kernel(@builtin(global_invocation_id) global_id: vec3<u32>,
@builtin(local_invocation_id) local_id: vec3<u32>) {
let row = global_id.y;
let col = global_id.x;
let M = fusion_params.height; // Matrix A rows
let N = fusion_params.width; // Matrix B cols
let K = fusion_params.channels; // Inner dimension
if (row >= M || col >= N) {
return;
}
let local_row = local_id.y;
let local_col = local_id.x;
// Tiled matrix multiplication with 32x32 tiles
var accumulator = 0.0;
let TILE_SIZE = 32u;
let num_tiles = (K + TILE_SIZE - 1u) / TILE_SIZE;
for (var tile = 0u; tile < num_tiles; tile++) {
let k_start = tile * TILE_SIZE;
// Load tiles into shared memory
if (k_start + local_col < K && row < M) {
fusion_tile_a[local_row * TILE_SIZE + local_col] =
input_a[row * K + k_start + local_col];
} else {
fusion_tile_a[local_row * TILE_SIZE + local_col] = 0.0;
}
if (k_start + local_row < K && col < N) {
fusion_tile_b[local_row * TILE_SIZE + local_col] =
input_b[(k_start + local_row) * N + col];
} else {
fusion_tile_b[local_row * TILE_SIZE + local_col] = 0.0;
}
workgroupBarrier();
// Compute tile multiplication
for (var k = 0u; k < TILE_SIZE; k++) {
accumulator += fusion_tile_a[local_row * TILE_SIZE + k] *
fusion_tile_b[k * TILE_SIZE + local_col];
}
workgroupBarrier();
}
// Add bias from input_c
let bias_idx = col;
if (bias_idx < arrayLength(&input_c)) {
accumulator += input_c[bias_idx];
}
// Apply scaling factor
accumulator *= fusion_params.alpha;
// Fused activation functions
if ((fusion_params.operation_mask & 1u) != 0u) {
accumulator = max(0.0, accumulator); // ReLU
}
if ((fusion_params.operation_mask & 2u) != 0u) {
accumulator = tanh(accumulator); // Tanh
}
if ((fusion_params.operation_mask & 4u) != 0u) {
accumulator = 1.0 / (1.0 + exp(-accumulator)); // Sigmoid
}
let output_idx = row * N + col;
if (output_idx < arrayLength(&output)) {
output[output_idx] = accumulator;
}
}
// Ultra-high-performance reduction + normalization fusion
@compute @workgroup_size(1024, 1, 1)
fn fused_reduction_normalization_kernel(@builtin(global_invocation_id) global_id: vec3<u32>,
@builtin(local_invocation_id) local_id: vec3<u32>) {
let thread_id = local_id.x;
let global_thread_id = global_id.x;
// Shared memory for reduction operations
var<workgroup> reduction_buffer: array<f32, 1024>;
// Load data into shared memory
if (global_thread_id < arrayLength(&input_a)) {
reduction_buffer[thread_id] = input_a[global_thread_id];
} else {
reduction_buffer[thread_id] = 0.0;
}
workgroupBarrier();
// Ultra-fast parallel reduction for sum/mean
var stride = 512u;
while (stride > 0u) {
if (thread_id < stride && thread_id + stride < 1024u) {
reduction_buffer[thread_id] += reduction_buffer[thread_id + stride];
}
workgroupBarrier();
stride /= 2u;
}
// Compute statistics for normalization
let local_sum = reduction_buffer[0];
let local_mean = local_sum / 1024.0;
workgroupBarrier();
// Compute variance
if (global_thread_id < arrayLength(&input_a)) {
let diff = input_a[global_thread_id] - local_mean;
reduction_buffer[thread_id] = diff * diff;
} else {
reduction_buffer[thread_id] = 0.0;
}
workgroupBarrier();
// Reduction for variance
stride = 512u;
while (stride > 0u) {
if (thread_id < stride && thread_id + stride < 1024u) {
reduction_buffer[thread_id] += reduction_buffer[thread_id + stride];
}
workgroupBarrier();
stride /= 2u;
}
let local_variance = reduction_buffer[0] / 1024.0;
let std_dev = sqrt(local_variance + 1e-6);
// Apply sophisticated normalization
if (global_thread_id < arrayLength(&output)) {
let normalized = (input_a[global_thread_id] - local_mean) / std_dev;
var result = normalized * fusion_params.alpha + fusion_params.beta;
// Optional activation
if ((fusion_params.operation_mask & 1u) != 0u) {
result = max(0.0, result);
}
output[global_thread_id] = result;
}
}
// Simple elementwise fusion kernel for MVP
// Supports basic arithmetic operations and activations in a chain
@compute @workgroup_size(256)
fn simple_elementwise_fusion(@builtin(global_invocation_id) global_id: vec3<u32>) {
let gid = global_id.x;
if (gid >= arrayLength(&output)) {
return;
}
// Load inputs
let a = input_a[gid];
let b = input_b[gid];
let c = input_c[gid];
// Operation mask encoding:
// Bits 0-3: First operation (0=Add, 1=Mul, 2=Sub, 3=Div)
// Bits 4-7: Second operation
// Bits 8-11: Activation (0=None, 1=ReLU, 2=Tanh, 3=Sigmoid, 4=GELU)
let op1 = (fusion_params.operation_mask) & 0xFu;
let op2 = (fusion_params.operation_mask >> 4u) & 0xFu;
let activation = (fusion_params.operation_mask >> 8u) & 0xFu;
// Compute first operation: result = a op1 b
var result = a;
if (op1 == 0u) {
result = a + b; // Add
} else if (op1 == 1u) {
result = a * b; // Mul
} else if (op1 == 2u) {
result = a - b; // Sub
} else if (op1 == 3u) {
result = a / b; // Div
}
// Compute second operation: result = result op2 c
if (op2 == 0u) {
result = result + c; // Add
} else if (op2 == 1u) {
result = result * c; // Mul
} else if (op2 == 2u) {
result = result - c; // Sub
} else if (op2 == 3u) {
result = result / c; // Div
} else if (op2 == 15u) {
// Skip second operation
}
// Apply activation function
if (activation == 1u) {
result = max(0.0, result); // ReLU
} else if (activation == 2u) {
result = tanh(result); // Tanh
} else if (activation == 3u) {
result = 1.0 / (1.0 + exp(-result)); // Sigmoid
} else if (activation == 4u) {
// GELU approximation
let gelu_factor = 0.7978845608;
let cubic_term = 0.044715 * result * result * result;
result = 0.5 * result * (1.0 + tanh(gelu_factor * (result + cubic_term)));
}
output[gid] = result;
}