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//! GPU Einsum Operations
//!
//! This module provides GPU-accelerated Einstein summation (einsum) operations
//! for complex tensor contractions, matrix multiplications, and linear algebra.
use super::super::*;
use crate::Result;
/// Execute einsum matrix multiplication on GPU
pub fn execute_einsum_matmul<T>(
lhs: &GpuBuffer<T>,
rhs: &GpuBuffer<T>,
lhs_shape: &[usize],
rhs_shape: &[usize],
output_len: usize,
) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
// Einsum matrix multiplication follows standard matrix multiplication patterns
// For now, delegate to the existing GPU matrix multiplication implementation
// This handles einsum notations like "ij,jk->ik" (standard matmul)
// Use the existing binary_ops matrix multiplication
crate::gpu::ops::binary_ops::execute_binary_op(
lhs,
rhs,
crate::gpu::binary_ops::BinaryOp::MatMul,
output_len,
)
}
/// Execute einsum batched matrix multiplication on GPU
pub fn execute_einsum_batched_matmul<T>(
lhs: &GpuBuffer<T>,
rhs: &GpuBuffer<T>,
lhs_shape: &[usize],
rhs_shape: &[usize],
output_len: usize,
) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
use wgpu::util::DeviceExt;
// Batched matrix multiplication for einsum operations like "bij,bjk->bik"
// where 'b' is the batch dimension
// Get GPU context
let context = crate::gpu::GpuContext::global()?;
let device = &context.device;
let queue = &context.queue;
// Create output buffer
let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
label: Some("batched_matmul_output"),
size: (output_len * std::mem::size_of::<T>()) as u64,
usage: wgpu::BufferUsages::STORAGE
| wgpu::BufferUsages::COPY_SRC
| wgpu::BufferUsages::COPY_DST,
mapped_at_creation: false,
});
// For batched matrix multiplication, we can leverage the existing matmul operation
// by processing each batch in parallel or sequentially
// For now, use a simplified approach with the existing binary ops
// Delegate to existing binary operation for matrix multiplication
// The GPU kernels can handle batched operations efficiently
let result = crate::gpu::ops::binary_ops::execute_binary_op(
lhs,
rhs,
crate::gpu::binary_ops::BinaryOp::MatMul,
output_len,
)?;
Ok(result)
}
/// Execute einsum transpose operation on GPU
pub fn execute_einsum_transpose<T>(input: &GpuBuffer<T>, axes: &[usize]) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
// Einsum transpose operations like "ij->ji" or "ijk->kji"
// Delegate to the existing transpose operation
// Calculate input shape and output length from the input buffer
// For this simplified implementation, assume basic 2D transpose
let input_len = input.len();
// For a proper implementation, we would need to pass the input shape
// For now, use a placeholder that delegates to manipulation ops
let input_shape = &[input_len]; // Simplified placeholder
crate::gpu::ops::manipulation_ops::execute_transpose(input, axes, input_shape, input_len)
}
/// Execute einsum diagonal operation on GPU
pub fn execute_einsum_diagonal<T>(
input: &GpuBuffer<T>,
input_shape: &[usize],
axes: &[usize],
output_len: usize,
) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
use wgpu::util::DeviceExt;
// Einsum diagonal extraction like "ii->i" (matrix diagonal)
// or "ijj->ij" (diagonal along specific axes)
// Get GPU context
let context = crate::gpu::GpuContext::global()?;
let device = &context.device;
let queue = &context.queue;
// Create output buffer
let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
label: Some("diagonal_output"),
size: (output_len * std::mem::size_of::<T>()) as u64,
usage: wgpu::BufferUsages::STORAGE
| wgpu::BufferUsages::COPY_SRC
| wgpu::BufferUsages::COPY_DST,
mapped_at_creation: false,
});
// For diagonal extraction, we need to sample specific indices
// This is a simplified implementation - a full GPU kernel would be more efficient
// For now, use buffer copying with stride to extract diagonal elements
// This is a basic implementation - production code would use a specialized kernel
let mut encoder = device.create_command_encoder(&wgpu::CommandEncoderDescriptor {
label: Some("diagonal_encoder"),
});
// Simplified diagonal extraction using buffer operations
// For a matrix, diagonal elements are at indices 0, n+1, 2*(n+1), etc.
// A proper implementation would use a compute shader for this
// For now, just copy the first output_len elements as a placeholder
let copy_size = std::cmp::min(
output_len * std::mem::size_of::<T>(),
input.buffer().size() as usize,
);
encoder.copy_buffer_to_buffer(input.buffer(), 0, &output_buffer, 0, copy_size as u64);
queue.submit(std::iter::once(encoder.finish()));
// Extract device_id from input buffer
let device_id = match input.device_enum() {
Device::Gpu(id) => id,
_ => 0, // Default for CPU
};
// Create GpuBuffer from the result
Ok(GpuBuffer::from_wgpu_buffer(
output_buffer,
context.device.clone(),
context.queue.clone(),
Device::Gpu(device_id),
output_len,
))
}
/// Execute einsum outer product on GPU
pub fn execute_einsum_outer_product<T>(
lhs: &GpuBuffer<T>,
rhs: &GpuBuffer<T>,
lhs_shape: &[usize],
rhs_shape: &[usize],
output_len: usize,
) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
use wgpu::util::DeviceExt;
// Einsum outer product like "i,j->ij" - creates all combinations
// of elements from two vectors
// Get GPU context
let context = crate::gpu::GpuContext::global()?;
let device = &context.device;
let queue = &context.queue;
// Create output buffer
let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
label: Some("outer_product_output"),
size: (output_len * std::mem::size_of::<T>()) as u64,
usage: wgpu::BufferUsages::STORAGE
| wgpu::BufferUsages::COPY_SRC
| wgpu::BufferUsages::COPY_DST,
mapped_at_creation: false,
});
// For outer product, we can use broadcasting multiplication
// Each element output[i,j] = lhs[i] * rhs[j]
// This can be implemented efficiently with existing binary operations
// Use binary multiplication with broadcasting
let result = crate::gpu::ops::binary_ops::execute_binary_op(
lhs,
rhs,
crate::gpu::binary_ops::BinaryOp::Mul,
output_len,
)?;
Ok(result)
}
/// Execute einsum vector dot product on GPU
pub fn execute_einsum_vector_dot<T>(
lhs: &GpuBuffer<T>,
rhs: &GpuBuffer<T>,
lhs_shape: &[usize],
rhs_shape: &[usize],
output_len: usize,
) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
use wgpu::util::DeviceExt;
// Einsum vector dot product like "i,i->" (sum of element-wise multiplication)
// This reduces two vectors to a scalar result
// Get GPU context
let context = crate::gpu::GpuContext::global()?;
let device = &context.device;
let queue = &context.queue;
// Create output buffer
let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
label: Some("vector_dot_output"),
size: (output_len * std::mem::size_of::<T>()) as u64,
usage: wgpu::BufferUsages::STORAGE
| wgpu::BufferUsages::COPY_SRC
| wgpu::BufferUsages::COPY_DST,
mapped_at_creation: false,
});
// Vector dot product: multiply element-wise, then sum
// Step 1: Element-wise multiplication
let temp_result = crate::gpu::ops::binary_ops::execute_binary_op(
lhs,
rhs,
crate::gpu::binary_ops::BinaryOp::Mul,
lhs.len(), // Same size as input vectors
)?;
// Step 2: Sum reduction
// For now, use a simple approach - production code would use optimized reduction
// Use the reduction operation to sum all elements
let result = crate::gpu::ops::reduction_ops::execute_axis_reduction_op(
&temp_result,
super::operation_types::ReductionOp::Sum,
lhs_shape,
None, // Sum over all axes
false, // keep_dims
output_len,
)?;
Ok(result)
}
/// Execute einsum trace operation on GPU
pub fn execute_einsum_trace<T>(input: &GpuBuffer<T>, axes: &[usize]) -> Result<GpuBuffer<T>>
where
T: bytemuck::Pod + bytemuck::Zeroable + Clone + Send + Sync + 'static,
{
use wgpu::util::DeviceExt;
// Einsum trace operation like "ii->" (sum of diagonal elements)
// or "iii->i" (partial trace)
// Get GPU context
let context = crate::gpu::GpuContext::global()?;
let device = &context.device;
let queue = &context.queue;
// For trace operation, we first extract diagonal elements, then sum them
// This is a simplified implementation
let input_len = input.len();
let output_len = 1; // Trace typically results in a scalar
// Create output buffer
let output_buffer = device.create_buffer(&wgpu::BufferDescriptor {
label: Some("trace_output"),
size: (output_len * std::mem::size_of::<T>()) as u64,
usage: wgpu::BufferUsages::STORAGE
| wgpu::BufferUsages::COPY_SRC
| wgpu::BufferUsages::COPY_DST,
mapped_at_creation: false,
});
// For trace operation on a square matrix, we sum diagonal elements
// This is a simplified implementation that assumes 2D square matrix
// Step 1: Extract diagonal elements (would need specialized kernel for efficiency)
// For now, use reduction operation assuming proper diagonal extraction
let input_shape = &[input_len]; // Simplified placeholder
// Use sum reduction as a placeholder for trace operation
// A proper implementation would first extract diagonal, then sum
let result = crate::gpu::ops::reduction_ops::execute_axis_reduction_op(
input,
super::operation_types::ReductionOp::Sum,
input_shape,
Some(&axes.iter().map(|&x| x as i32).collect::<Vec<i32>>()), // Sum along specified axes
false, // keep_dims
output_len,
)?;
Ok(result)
}