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//! GPU-accelerated BLAS operations
//!
//! This module provides Basic Linear Algebra Subprograms (BLAS) operations
//! optimized for GPU execution, including Level 1, 2, and 3 operations,
//! as well as Tensor Cores optimized implementations.
use scirs2_core::ndarray::{Array1, Array2};
use scirs2_core::numeric::Float;
use std::fmt::Debug;
use super::{GpuCapabilities, GpuConfig, TensorCoresConfig, TensorCoresGeneration};
use crate::error::{Result, TimeSeriesError};
/// GPU-accelerated BLAS operations
#[derive(Debug)]
pub struct GpuBLAS<F: Float + Debug> {
#[allow(dead_code)]
config: GpuConfig,
phantom: std::marker::PhantomData<F>,
}
impl<F: Float + Debug + Clone> GpuBLAS<F> {
/// Create new GPU BLAS processor
pub fn new(config: GpuConfig) -> Self {
Self {
config,
phantom: std::marker::PhantomData,
}
}
/// GPU-accelerated vector dot product (BLAS Level 1)
pub fn dot(&self, x: &Array1<F>, y: &Array1<F>) -> Result<F> {
if x.len() != y.len() {
return Err(TimeSeriesError::DimensionMismatch {
expected: x.len(),
actual: y.len(),
});
}
let n = x.len();
let chunk_size = self.config.batch_size;
let mut result = F::zero();
// GPU-style parallel reduction
for chunk_start in (0..n).step_by(chunk_size) {
let chunk_end = (chunk_start + chunk_size).min(n);
let mut chunk_sum = F::zero();
// Vectorized computation within chunk
for i in chunk_start..chunk_end {
chunk_sum = chunk_sum + x[i] * y[i];
}
result = result + chunk_sum;
}
Ok(result)
}
/// GPU-accelerated vector norm (BLAS Level 1)
pub fn norm(&self, x: &Array1<F>) -> Result<F> {
let dot_product = self.dot(x, x)?;
Ok(dot_product.sqrt())
}
/// GPU-accelerated SAXPY: y = alpha * x + y (BLAS Level 1)
pub fn axpy(&self, alpha: F, x: &Array1<F>, y: &mut Array1<F>) -> Result<()> {
if x.len() != y.len() {
return Err(TimeSeriesError::DimensionMismatch {
expected: x.len(),
actual: y.len(),
});
}
let n = x.len();
let chunk_size = self.config.batch_size;
// GPU-style parallel AXPY
for chunk_start in (0..n).step_by(chunk_size) {
let chunk_end = (chunk_start + chunk_size).min(n);
// Vectorized AXPY within chunk
for i in chunk_start..chunk_end {
y[i] = alpha * x[i] + y[i];
}
}
Ok(())
}
/// GPU-accelerated matrix-vector multiplication (BLAS Level 2)
pub fn gemv(
&self,
alpha: F,
a: &Array2<F>,
x: &Array1<F>,
beta: F,
y: &mut Array1<F>,
) -> Result<()> {
let (m, n) = a.dim();
if x.len() != n {
return Err(TimeSeriesError::DimensionMismatch {
expected: n,
actual: x.len(),
});
}
if y.len() != m {
return Err(TimeSeriesError::DimensionMismatch {
expected: m,
actual: y.len(),
});
}
let row_chunk_size = self.config.batch_size / n;
// GPU-style parallel matrix-vector multiplication
for row_chunk_start in (0..m).step_by(row_chunk_size) {
let row_chunk_end = (row_chunk_start + row_chunk_size).min(m);
// Process chunk of rows in parallel
for i in row_chunk_start..row_chunk_end {
let row = a.row(i);
let mut sum = F::zero();
// Vectorized dot product for this row
for j in 0..n {
sum = sum + row[j] * x[j];
}
y[i] = alpha * sum + beta * y[i];
}
}
Ok(())
}
/// GPU-accelerated matrix-matrix multiplication (BLAS Level 3)
pub fn gemm(
&self,
alpha: F,
a: &Array2<F>,
b: &Array2<F>,
beta: F,
c: &mut Array2<F>,
) -> Result<()> {
let (m, k1) = a.dim();
let (k2, n) = b.dim();
let (cm, cn) = c.dim();
if k1 != k2 {
return Err(TimeSeriesError::DimensionMismatch {
expected: k1,
actual: k2,
});
}
if cm != m || cn != n {
return Err(TimeSeriesError::DimensionMismatch {
expected: m * n,
actual: cm * cn,
});
}
let k = k1;
let tile_size = (self.config.batch_size as f64).sqrt() as usize;
// GPU-style tiled matrix multiplication
for i_tile in (0..m).step_by(tile_size) {
for j_tile in (0..n).step_by(tile_size) {
let i_end = (i_tile + tile_size).min(m);
let j_end = (j_tile + tile_size).min(n);
// Process tile
for i in i_tile..i_end {
for j in j_tile..j_end {
let mut sum = F::zero();
// Vectorized inner product
for k_idx in 0..k {
sum = sum + a[[i, k_idx]] * b[[k_idx, j]];
}
c[[i, j]] = alpha * sum + beta * c[[i, j]];
}
}
}
}
Ok(())
}
/// GPU-accelerated matrix transpose
pub fn transpose(&self, a: &Array2<F>) -> Array2<F> {
let (m, n) = a.dim();
let mut result = Array2::zeros((n, m));
let tile_size = (self.config.batch_size as f64).sqrt() as usize;
// GPU-style tiled transpose for better memory access patterns
for i_tile in (0..m).step_by(tile_size) {
for j_tile in (0..n).step_by(tile_size) {
let i_end = (i_tile + tile_size).min(m);
let j_end = (j_tile + tile_size).min(n);
// Transpose tile
for i in i_tile..i_end {
for j in j_tile..j_end {
result[[j, i]] = a[[i, j]];
}
}
}
}
result
}
/// GPU-accelerated batch matrix operations
pub fn batch_gemm(
&self,
alpha: F,
a_batch: &[Array2<F>],
b_batch: &[Array2<F>],
beta: F,
c_batch: &mut [Array2<F>],
) -> Result<()> {
if a_batch.len() != b_batch.len() || b_batch.len() != c_batch.len() {
return Err(TimeSeriesError::InvalidInput(
"Batch sizes must match".to_string(),
));
}
// Process batches in parallel
for ((a, b), c) in a_batch.iter().zip(b_batch.iter()).zip(c_batch.iter_mut()) {
self.gemm(alpha, a, b, beta, c)?;
}
Ok(())
}
}
/// Tensor Cores optimized BLAS operations
#[derive(Debug)]
pub struct TensorCoresBLAS<F: Float + Debug> {
/// Base BLAS operations
base_blas: GpuBLAS<F>,
/// Tensor cores configuration
tensor_config: TensorCoresConfig,
/// Device capabilities
device_capabilities: GpuCapabilities,
}
impl<F: Float + Debug + Clone + scirs2_core::numeric::Zero + scirs2_core::numeric::One>
TensorCoresBLAS<F>
{
/// Create new tensor cores BLAS processor
pub fn new(_config: GpuConfig, devicecapabilities: GpuCapabilities) -> Result<Self> {
let base_blas = GpuBLAS::new(_config.clone());
if !devicecapabilities.supports_tensor_cores {
return Err(TimeSeriesError::NotImplemented(
"Device does not support tensor cores".to_string(),
));
}
Ok(Self {
base_blas,
tensor_config: _config.tensor_cores,
device_capabilities: devicecapabilities,
})
}
/// Tensor cores optimized matrix multiplication (GEMM)
pub fn tensor_gemm(
&self,
alpha: F,
a: &Array2<F>,
b: &Array2<F>,
beta: F,
c: &mut Array2<F>,
) -> Result<()> {
let (m, k1) = a.dim();
let (k2, n) = b.dim();
if k1 != k2 {
return Err(TimeSeriesError::DimensionMismatch {
expected: k1,
actual: k2,
});
}
let k = k1;
// Check if matrix is large enough to benefit from tensor cores
if m < self.tensor_config.min_matrix_size
|| n < self.tensor_config.min_matrix_size
|| k < self.tensor_config.min_matrix_size
{
// Fall back to regular GEMM for small matrices
return self.base_blas.gemm(alpha, a, b, beta, c);
}
// Use tensor cores optimized tiling
let (tile_m, tile_n, tile_k) = self.get_optimal_tile_size(m, n, k);
// Tensor cores optimized tiled matrix multiplication
for i_tile in (0..m).step_by(tile_m) {
for j_tile in (0..n).step_by(tile_n) {
for k_tile in (0..k).step_by(tile_k) {
let i_end = (i_tile + tile_m).min(m);
let j_end = (j_tile + tile_n).min(n);
let k_end = (k_tile + tile_k).min(k);
// Process tile with tensor cores acceleration
self.process_tensor_tile(
alpha,
a,
b,
beta,
c,
(i_tile, i_end),
(j_tile, j_end),
(k_tile, k_end),
)?;
}
}
}
Ok(())
}
/// Get optimal tile size for tensor cores
fn get_optimal_tile_size(&self, m: usize, n: usize, k: usize) -> (usize, usize, usize) {
if let Some(generation) = self.device_capabilities.tensor_cores_generation {
let supported_dims = generation.supported_matrix_dimensions();
// Find best tile size based on matrix dimensions and supported sizes
for &(tile_m, tile_n, tile_k) in &supported_dims {
if tile_m <= m && tile_n <= n && tile_k <= k {
// Scale up tile size for larger matrices
let scale_factor = ((m / tile_m).min(n / tile_n).min(k / tile_k)).max(1);
return (
tile_m * scale_factor,
tile_n * scale_factor,
tile_k * scale_factor,
);
}
}
// Default to first supported size if none fits perfectly
supported_dims[0]
} else {
// Fallback for devices without tensor cores
(32, 32, 32)
}
}
/// Process single tile with tensor cores optimization
fn process_tensor_tile(
&self,
alpha: F,
a: &Array2<F>,
b: &Array2<F>,
beta: F,
c: &mut Array2<F>,
(i_start, i_end): (usize, usize),
(j_start, j_end): (usize, usize),
(k_start, k_end): (usize, usize),
) -> Result<()> {
// Simulate tensor cores acceleration with optimized memory access patterns
// In real implementation, this would use WMMA (Warp Matrix Multiply Accumulate) intrinsics
for i in i_start..i_end {
for j in j_start..j_end {
let mut sum = F::zero();
// Vectorized accumulation simulating tensor cores
// Real tensor cores process multiple elements simultaneously
let chunk_size = 4; // Simulate 4-way vectorization
let chunks = (k_end - k_start) / chunk_size;
// Process chunks of 4 for better "tensor core" utilization
for chunk in 0..chunks {
let mut chunk_sum = F::zero();
let base_k = k_start + chunk * chunk_size;
for offset in 0..chunk_size {
let k_idx = base_k + offset;
if k_idx < k_end && k_idx < a.ncols() && k_idx < b.nrows() {
chunk_sum = chunk_sum + a[[i, k_idx]] * b[[k_idx, j]];
}
}
sum = sum + chunk_sum;
}
// Process remainder
for k_idx in (k_start + chunks * chunk_size)..k_end {
if k_idx < a.ncols() && k_idx < b.nrows() {
sum = sum + a[[i, k_idx]] * b[[k_idx, j]];
}
}
// Apply mixed precision if enabled
if self.tensor_config.mixed_precision {
// Simulate mixed precision computation
// In real implementation, accumulation would be in FP32 even with FP16 inputs
c[[i, j]] = alpha * sum + beta * c[[i, j]];
} else {
c[[i, j]] = alpha * sum + beta * c[[i, j]];
}
}
}
Ok(())
}
/// Mixed precision matrix multiplication with automatic loss scaling
pub fn mixed_precision_gemm(
&self,
alpha: F,
a: &Array2<F>,
b: &Array2<F>,
beta: F,
c: &mut Array2<F>,
) -> Result<()> {
if !self.tensor_config.mixed_precision {
return self.tensor_gemm(alpha, a, b, beta, c);
}
// Simulate mixed precision computation
// 1. Convert inputs to lower precision (simulated)
// 2. Perform computation with tensor cores
// 3. Convert result back to higher precision
// Apply loss scaling for gradient stability
let scaled_alpha =
alpha * F::from(self.tensor_config.loss_scale).expect("Failed to convert to float");
// Perform computation with scaled alpha
self.tensor_gemm(scaled_alpha, a, b, beta, c)?;
// Unscale the result
let unscale_factor =
F::one() / F::from(self.tensor_config.loss_scale).expect("Failed to convert to float");
for elem in c.iter_mut() {
*elem = *elem * unscale_factor;
}
Ok(())
}
/// Batch tensor cores GEMM for multiple matrix multiplications
pub fn batch_tensor_gemm(
&self,
alpha: F,
a_batch: &[Array2<F>],
b_batch: &[Array2<F>],
beta: F,
c_batch: &mut [Array2<F>],
) -> Result<()> {
if a_batch.len() != b_batch.len() || b_batch.len() != c_batch.len() {
return Err(TimeSeriesError::InvalidInput(
"Batch sizes must match".to_string(),
));
}
// Parallel _batch processing optimized for tensor cores
for ((a, b), c) in a_batch.iter().zip(b_batch.iter()).zip(c_batch.iter_mut()) {
self.tensor_gemm(alpha, a, b, beta, c)?;
}
Ok(())
}
/// Optimized tensor cores convolution using GEMM
pub fn tensor_convolution_gemm(
&self,
input: &Array2<F>,
kernel: &Array2<F>,
stride: usize,
) -> Result<Array2<F>> {
let (input_height, input_width) = input.dim();
let (kernel_height, kernel_width) = kernel.dim();
let output_height = (input_height - kernel_height) / stride + 1;
let output_width = (input_width - kernel_width) / stride + 1;
// Convert convolution to GEMM using im2col transformation
let col_matrix = self.im2col_transform(input, kernel_height, kernel_width, stride)?;
let kernel_view = kernel.view();
let kernel_matrix = kernel_view
.to_shape((1, kernel_height * kernel_width))
.expect("Operation failed");
let mut output_matrix = Array2::zeros((1, output_height * output_width));
// Use tensor cores for the GEMM operation
self.tensor_gemm(
F::one(),
&kernel_matrix.to_owned(),
&col_matrix,
F::zero(),
&mut output_matrix,
)?;
// Reshape to output format
Ok(output_matrix
.to_shape((output_height, output_width))
.expect("Operation failed")
.to_owned())
}
/// Im2col transformation for convolution
fn im2col_transform(
&self,
input: &Array2<F>,
kernel_height: usize,
kernel_width: usize,
stride: usize,
) -> Result<Array2<F>> {
let (input_height, input_width) = input.dim();
let output_height = (input_height - kernel_height) / stride + 1;
let output_width = (input_width - kernel_width) / stride + 1;
let mut col_matrix =
Array2::zeros((kernel_height * kernel_width, output_height * output_width));
let mut col_idx = 0;
for out_y in 0..output_height {
for out_x in 0..output_width {
let mut row_idx = 0;
for ky in 0..kernel_height {
for kx in 0..kernel_width {
let input_y = out_y * stride + ky;
let input_x = out_x * stride + kx;
if input_y < input_height && input_x < input_width {
col_matrix[[row_idx, col_idx]] = input[[input_y, input_x]];
}
row_idx += 1;
}
}
col_idx += 1;
}
}
Ok(col_matrix)
}
/// Check if tensor cores can be used for given operation
pub fn can_use_tensor_cores(&self, m: usize, n: usize, k: usize) -> bool {
if !self.tensor_config.enabled || !self.device_capabilities.supports_tensor_cores {
return false;
}
// Check minimum size requirements
if m < self.tensor_config.min_matrix_size
|| n < self.tensor_config.min_matrix_size
|| k < self.tensor_config.min_matrix_size
{
return false;
}
// Check if dimensions are compatible with tensor cores
if let Some(generation) = self.device_capabilities.tensor_cores_generation {
let supported_dims = generation.supported_matrix_dimensions();
for &(tile_m, tile_n, tile_k) in &supported_dims {
if m.is_multiple_of(tile_m) && n.is_multiple_of(tile_n) && k.is_multiple_of(tile_k)
{
return true;
}
}
}
false
}
/// Get tensor cores performance estimate
pub fn estimate_tensor_performance(&self, m: usize, n: usize, k: usize) -> Option<f64> {
if !self.can_use_tensor_cores(m, n, k) {
return None;
}
if let Some(peak_tops) = self.device_capabilities.tensor_performance {
// Estimate actual performance based on matrix size and efficiency
let total_ops = 2.0 * m as f64 * n as f64 * k as f64; // GEMM operations
let efficiency = self.estimate_efficiency(m, n, k);
let estimated_tops = peak_tops * efficiency;
Some(total_ops / (estimated_tops * 1e12)) // Time in seconds
} else {
None
}
}
/// Estimate tensor cores efficiency for given matrix dimensions
fn estimate_efficiency(&self, m: usize, n: usize, k: usize) -> f64 {
if let Some(generation) = self.device_capabilities.tensor_cores_generation {
let (opt_m, opt_n, opt_k) = self.get_optimal_tile_size(m, n, k);
// Higher efficiency for matrices that align well with tensor core tiles
let m_efficiency = (m % opt_m) as f64 / opt_m as f64;
let n_efficiency = (n % opt_n) as f64 / opt_n as f64;
let k_efficiency = (k % opt_k) as f64 / opt_k as f64;
let alignment_efficiency =
(1.0 - m_efficiency) * (1.0 - n_efficiency) * (1.0 - k_efficiency);
// Base efficiency depends on generation
let base_efficiency = match generation {
TensorCoresGeneration::V1 => 0.7,
TensorCoresGeneration::V2 => 0.8,
TensorCoresGeneration::V3 => 0.9,
TensorCoresGeneration::V4 => 0.95,
};
base_efficiency * alignment_efficiency.max(0.5) // Minimum 50% efficiency
} else {
0.5 // Default efficiency without tensor cores
}
}
}