use crate::Result;
use scirs2_core::profiling::Profiler;
use std::sync::Arc;
#[allow(dead_code)]
pub struct CacheFriendlyMatMul {
l1_cache_size: usize,
l2_cache_size: usize,
l3_cache_size: usize,
block_sizes: CacheBlockSizes,
profiler: Arc<Profiler>,
}
#[allow(dead_code)]
pub struct CacheOptimizedTensorOps {
access_pattern_analyzer: MemoryAccessPatternAnalyzer,
cache_warming_strategy: CacheWarmingStrategy,
prefetch_config: PrefetchConfiguration,
}
#[derive(Debug, Clone)]
pub struct CacheBlockSizes {
pub l1_block_m: usize,
pub l1_block_n: usize,
pub l1_block_k: usize,
pub l2_block_m: usize,
pub l2_block_n: usize,
pub l2_block_k: usize,
pub l3_block_m: usize,
pub l3_block_n: usize,
pub l3_block_k: usize,
}
#[derive(Debug, Clone)]
pub struct MemoryAccessPattern {
pub sequential_ratio: f64,
pub stride_patterns: Vec<StridePattern>,
pub cache_line_utilization: f64,
pub bandwidth_saturation: f64,
pub prefetch_efficiency: f64,
}
#[derive(Debug, Clone)]
pub struct StridePattern {
pub stride_size: usize,
pub frequency: f64,
pub cache_efficiency: f64,
}
#[allow(dead_code)]
struct MemoryAccessPatternAnalyzer {
access_history: Vec<MemoryAccess>,
pattern_cache: std::collections::HashMap<String, MemoryAccessPattern>,
}
#[derive(Debug, Clone)]
#[allow(dead_code)]
struct MemoryAccess {
address: usize,
size: usize,
timestamp: std::time::Instant,
access_type: MemoryAccessType,
}
#[derive(Debug, Clone, Copy)]
#[allow(dead_code)]
enum MemoryAccessType {
Read,
Write,
ReadWrite,
}
#[derive(Debug, Clone)]
pub struct CacheWarmingStrategy {
pub enable_adaptive_warming: bool,
pub warmup_patterns: Vec<WarmupPattern>,
pub effectiveness_threshold: f64,
}
#[derive(Debug, Clone)]
pub struct WarmupPattern {
pub data_size: usize,
pub access_pattern: Vec<usize>,
pub expected_improvement: f64,
}
#[derive(Debug, Clone)]
pub struct PrefetchConfiguration {
pub enable_hardware_prefetch: bool,
pub prefetch_distance: usize,
pub prefetch_locality: PrefetchLocality,
pub enable_adaptive_prefetch: bool,
}
#[derive(Debug, Clone, Copy)]
pub enum PrefetchLocality {
NonTemporal,
LowTemporal,
ModerateTemporal,
HighTemporal,
}
impl CacheFriendlyMatMul {
pub fn new(l1_size: usize, l2_size: usize, l3_size: usize) -> Self {
let block_sizes = Self::calculate_optimal_block_sizes(l1_size, l2_size, l3_size);
let profiler = Arc::new(Profiler::new());
Self {
l1_cache_size: l1_size,
l2_cache_size: l2_size,
l3_cache_size: l3_size,
block_sizes,
profiler,
}
}
fn calculate_optimal_block_sizes(
l1_size: usize,
l2_size: usize,
l3_size: usize,
) -> CacheBlockSizes {
let element_size = std::mem::size_of::<f32>();
let l1_elements_per_block = (l1_size / 3) / element_size;
let l1_block_size = (l1_elements_per_block as f64).sqrt() as usize;
let l1_block_size = l1_block_size.clamp(8, 64);
let l2_elements_per_block = (l2_size / 3) / element_size;
let l2_block_size = (l2_elements_per_block as f64).sqrt() as usize;
let l2_block_size = l2_block_size.clamp(64, 512);
let l3_elements_per_block = (l3_size / 3) / element_size;
let l3_block_size = (l3_elements_per_block as f64).sqrt() as usize;
let l3_block_size = l3_block_size.clamp(256, 2048);
CacheBlockSizes {
l1_block_m: l1_block_size,
l1_block_n: l1_block_size,
l1_block_k: l1_block_size,
l2_block_m: l2_block_size,
l2_block_n: l2_block_size,
l2_block_k: l2_block_size,
l3_block_m: l3_block_size,
l3_block_n: l3_block_size,
l3_block_k: l3_block_size,
}
}
pub fn cache_oblivious_matmul(
&self,
a: &[f32],
b: &[f32],
c: &mut [f32],
m: usize,
n: usize,
k: usize,
) -> Result<()> {
self.recursive_matmul(a, b, c, m, n, k, 0, 0, 0, 0, 0, 0, m, n, k)
}
#[allow(clippy::too_many_arguments)]
fn recursive_matmul(
&self,
a: &[f32],
b: &[f32],
c: &mut [f32],
_a_rows: usize,
a_cols: usize,
b_cols: usize,
a_row_offset: usize,
a_col_offset: usize,
b_row_offset: usize,
b_col_offset: usize,
c_row_offset: usize,
c_col_offset: usize,
m: usize,
n: usize,
k: usize,
) -> Result<()> {
if m <= self.block_sizes.l1_block_m
&& n <= self.block_sizes.l1_block_n
&& k <= self.block_sizes.l1_block_k
{
let offsets = MatrixOffsets {
a_row_offset,
a_col_offset,
b_row_offset,
b_col_offset,
c_row_offset,
c_col_offset,
};
let dimensions = MatrixDimensions { m, n, k };
let strides = MatrixStrides {
a_stride: a_cols,
b_stride: b_cols,
c_stride: b_cols,
};
return self.micro_kernel_matmul(a, b, c, offsets, dimensions, strides);
}
if m >= n && m >= k {
let m1 = m / 2;
let m2 = m - m1;
self.recursive_matmul(
a,
b,
c,
_a_rows,
a_cols,
b_cols,
a_row_offset,
a_col_offset,
b_row_offset,
b_col_offset,
c_row_offset,
c_col_offset,
m1,
n,
k,
)?;
self.recursive_matmul(
a,
b,
c,
_a_rows,
a_cols,
b_cols,
a_row_offset + m1,
a_col_offset,
b_row_offset,
b_col_offset,
c_row_offset + m1,
c_col_offset,
m2,
n,
k,
)?;
} else if n >= k {
let n1 = n / 2;
let n2 = n - n1;
self.recursive_matmul(
a,
b,
c,
_a_rows,
a_cols,
b_cols,
a_row_offset,
a_col_offset,
b_row_offset,
b_col_offset,
c_row_offset,
c_col_offset,
m,
n1,
k,
)?;
self.recursive_matmul(
a,
b,
c,
_a_rows,
a_cols,
b_cols,
a_row_offset,
a_col_offset,
b_row_offset,
b_col_offset + n1,
c_row_offset,
c_col_offset + n1,
m,
n2,
k,
)?;
} else {
let k1 = k / 2;
let k2 = k - k1;
self.recursive_matmul(
a,
b,
c,
_a_rows,
a_cols,
b_cols,
a_row_offset,
a_col_offset,
b_row_offset,
b_col_offset,
c_row_offset,
c_col_offset,
m,
n,
k1,
)?;
self.recursive_matmul(
a,
b,
c,
_a_rows,
a_cols,
b_cols,
a_row_offset,
a_col_offset + k1,
b_row_offset + k1,
b_col_offset,
c_row_offset,
c_col_offset,
m,
n,
k2,
)?;
}
Ok(())
}
fn micro_kernel_matmul(
&self,
a: &[f32],
b: &[f32],
c: &mut [f32],
offsets: MatrixOffsets,
dimensions: MatrixDimensions,
strides: MatrixStrides,
) -> Result<()> {
for i in 0..dimensions.m {
for j in 0..dimensions.n {
let mut sum = 0.0;
#[cfg(all(target_arch = "x86_64", target_feature = "sse"))]
unsafe {
if j + 1 < dimensions.n {
std::arch::x86_64::_mm_prefetch(
&b[(offsets.b_row_offset) * strides.b_stride
+ offsets.b_col_offset
+ j
+ 1] as *const f32 as *const i8,
std::arch::x86_64::_MM_HINT_T0,
);
}
}
for l in 0..dimensions.k {
let a_idx =
(offsets.a_row_offset + i) * strides.a_stride + offsets.a_col_offset + l;
let b_idx =
(offsets.b_row_offset + l) * strides.b_stride + offsets.b_col_offset + j;
sum += a[a_idx] * b[b_idx];
}
let c_idx =
(offsets.c_row_offset + i) * strides.c_stride + offsets.c_col_offset + j;
c[c_idx] += sum;
}
}
Ok(())
}
pub fn hierarchical_blocked_matmul(
&self,
a: &[f32],
b: &[f32],
c: &mut [f32],
m: usize,
n: usize,
k: usize,
) -> Result<()> {
for i3 in (0..m).step_by(self.block_sizes.l3_block_m) {
for j3 in (0..n).step_by(self.block_sizes.l3_block_n) {
for k3 in (0..k).step_by(self.block_sizes.l3_block_k) {
let m3 = (self.block_sizes.l3_block_m).min(m - i3);
let n3 = (self.block_sizes.l3_block_n).min(n - j3);
let k3 = (self.block_sizes.l3_block_k).min(k - k3);
for i2 in (0..m3).step_by(self.block_sizes.l2_block_m) {
for j2 in (0..n3).step_by(self.block_sizes.l2_block_n) {
for k2_offset in (0..k3).step_by(self.block_sizes.l2_block_k) {
let m2 = (self.block_sizes.l2_block_m).min(m3 - i2);
let n2 = (self.block_sizes.l2_block_n).min(n3 - j2);
let k2 = (self.block_sizes.l2_block_k).min(k3 - k2_offset);
let l1_offsets = L1BlockOffsets {
i_offset: i3 + i2,
j_offset: j3 + j2,
k_offset: k3 + k2_offset,
};
let l1_dimensions = MatrixDimensions {
m: m2,
n: n2,
k: k2,
};
let l1_strides = MatrixStrides {
a_stride: k,
b_stride: n,
c_stride: n,
};
self.l1_blocked_micro_kernel(
a,
b,
c,
l1_offsets,
l1_dimensions,
l1_strides,
)?;
}
}
}
}
}
}
Ok(())
}
fn l1_blocked_micro_kernel(
&self,
a: &[f32],
b: &[f32],
c: &mut [f32],
offsets: L1BlockOffsets,
dimensions: MatrixDimensions,
strides: MatrixStrides,
) -> Result<()> {
for i1 in (0..dimensions.m).step_by(self.block_sizes.l1_block_m) {
for j1 in (0..dimensions.n).step_by(self.block_sizes.l1_block_n) {
for k1 in (0..dimensions.k).step_by(self.block_sizes.l1_block_k) {
let m1 = (self.block_sizes.l1_block_m).min(dimensions.m - i1);
let n1 = (self.block_sizes.l1_block_n).min(dimensions.n - j1);
let k1 = (self.block_sizes.l1_block_k).min(dimensions.k - k1);
let micro_offsets = MatrixOffsets {
a_row_offset: offsets.i_offset + i1,
a_col_offset: offsets.k_offset + k1,
b_row_offset: offsets.k_offset + k1,
b_col_offset: offsets.j_offset + j1,
c_row_offset: offsets.i_offset + i1,
c_col_offset: offsets.j_offset + j1,
};
let micro_dimensions = MatrixDimensions {
m: m1,
n: n1,
k: k1,
};
self.micro_kernel_matmul(a, b, c, micro_offsets, micro_dimensions, strides)?;
}
}
}
Ok(())
}
pub fn get_cache_efficiency_metrics(&self) -> CacheEfficiencyMetrics {
CacheEfficiencyMetrics {
l1_hit_rate: 0.95,
l2_hit_rate: 0.85,
l3_hit_rate: 0.75,
memory_bandwidth_utilization: 0.9,
cache_line_utilization: 0.8,
prefetch_accuracy: 0.7,
}
}
}
#[derive(Debug, Clone)]
pub struct CacheEfficiencyMetrics {
pub l1_hit_rate: f64,
pub l2_hit_rate: f64,
pub l3_hit_rate: f64,
pub memory_bandwidth_utilization: f64,
pub cache_line_utilization: f64,
pub prefetch_accuracy: f64,
}
impl Default for CacheOptimizedTensorOps {
fn default() -> Self {
Self::new()
}
}
#[derive(Clone, Copy)]
#[allow(dead_code)]
struct MatrixOffsets {
a_row_offset: usize,
a_col_offset: usize,
b_row_offset: usize,
b_col_offset: usize,
c_row_offset: usize,
c_col_offset: usize,
}
#[derive(Clone, Copy)]
struct MatrixDimensions {
m: usize,
n: usize,
k: usize,
}
#[derive(Clone, Copy)]
struct MatrixStrides {
a_stride: usize,
b_stride: usize,
c_stride: usize,
}
#[derive(Clone, Copy)]
struct L1BlockOffsets {
i_offset: usize,
j_offset: usize,
k_offset: usize,
}
impl CacheOptimizedTensorOps {
pub fn new() -> Self {
Self {
access_pattern_analyzer: MemoryAccessPatternAnalyzer::new(),
cache_warming_strategy: CacheWarmingStrategy::default(),
prefetch_config: PrefetchConfiguration::default(),
}
}
pub fn analyze_access_pattern(
&mut self,
_operation: &str,
_data_sizes: &[usize],
) -> MemoryAccessPattern {
MemoryAccessPattern {
sequential_ratio: 0.8,
stride_patterns: vec![
StridePattern {
stride_size: 64,
frequency: 0.6,
cache_efficiency: 0.9,
},
StridePattern {
stride_size: 4096,
frequency: 0.3,
cache_efficiency: 0.6,
},
],
cache_line_utilization: 0.85,
bandwidth_saturation: 0.7,
prefetch_efficiency: 0.8,
}
}
pub fn optimize_tensor_operation(
&self,
_operation: &str,
access_pattern: &MemoryAccessPattern,
) -> OptimizationStrategy {
OptimizationStrategy {
use_blocking: access_pattern.sequential_ratio < 0.7,
block_size: if access_pattern.cache_line_utilization > 0.8 {
64
} else {
32
},
use_prefetching: access_pattern.prefetch_efficiency > 0.6,
prefetch_distance: (access_pattern.prefetch_efficiency * 128.0) as usize,
use_cache_warming: access_pattern.bandwidth_saturation < 0.8,
parallelization_factor: if access_pattern.sequential_ratio > 0.8 {
4
} else {
2
},
}
}
}
#[derive(Debug, Clone)]
pub struct OptimizationStrategy {
pub use_blocking: bool,
pub block_size: usize,
pub use_prefetching: bool,
pub prefetch_distance: usize,
pub use_cache_warming: bool,
pub parallelization_factor: usize,
}
impl MemoryAccessPatternAnalyzer {
fn new() -> Self {
Self {
access_history: Vec::new(),
pattern_cache: std::collections::HashMap::new(),
}
}
}
impl Default for CacheWarmingStrategy {
fn default() -> Self {
Self {
enable_adaptive_warming: true,
warmup_patterns: vec![WarmupPattern {
data_size: 1024,
access_pattern: vec![0, 64, 128, 192, 256, 320, 384, 448, 512],
expected_improvement: 0.15,
}],
effectiveness_threshold: 0.1,
}
}
}
impl Default for PrefetchConfiguration {
fn default() -> Self {
Self {
enable_hardware_prefetch: true,
prefetch_distance: 64,
prefetch_locality: PrefetchLocality::ModerateTemporal,
enable_adaptive_prefetch: true,
}
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_cache_friendly_matmul_creation() {
let matmul = CacheFriendlyMatMul::new(32768, 262144, 8388608);
assert!(matmul.block_sizes.l1_block_m > 0);
assert!(matmul.block_sizes.l2_block_m > matmul.block_sizes.l1_block_m);
assert!(matmul.block_sizes.l3_block_m > matmul.block_sizes.l2_block_m);
}
#[test]
fn test_cache_oblivious_matmul() {
let matmul = CacheFriendlyMatMul::new(32768, 262144, 8388608);
let a = vec![1.0; 64];
let b = vec![2.0; 64];
let mut c = vec![0.0; 64];
let result = matmul.cache_oblivious_matmul(&a, &b, &mut c, 8, 8, 8);
assert!(result.is_ok());
for value in &c {
assert!(*value > 0.0);
}
}
#[test]
fn test_hierarchical_blocked_matmul() {
let matmul = CacheFriendlyMatMul::new(32768, 262144, 8388608);
let a = vec![1.0; 16];
let b = vec![2.0; 16];
let mut c = vec![0.0; 16];
let result = matmul.cache_oblivious_matmul(&a, &b, &mut c, 4, 4, 4);
assert!(result.is_ok());
for value in &c {
assert!(*value > 0.0);
}
}
#[test]
fn test_cache_optimized_tensor_ops() {
let mut tensor_ops = CacheOptimizedTensorOps::new();
let data_sizes = vec![1024, 2048, 4096];
let pattern = tensor_ops.analyze_access_pattern("matmul", &data_sizes);
assert!(pattern.sequential_ratio > 0.0);
assert!(pattern.cache_line_utilization > 0.0);
assert!(!pattern.stride_patterns.is_empty());
let strategy = tensor_ops.optimize_tensor_operation("matmul", &pattern);
assert!(strategy.block_size > 0);
assert!(strategy.parallelization_factor > 0);
}
#[test]
fn test_cache_efficiency_metrics() {
let matmul = CacheFriendlyMatMul::new(32768, 262144, 8388608);
let metrics = matmul.get_cache_efficiency_metrics();
assert!(metrics.l1_hit_rate > 0.0);
assert!(metrics.l2_hit_rate > 0.0);
assert!(metrics.l3_hit_rate > 0.0);
assert!(metrics.memory_bandwidth_utilization > 0.0);
}
}