use crate::error::Result;
use crate::graph::ArrowGraph;
use arrow::array::{Array, Float64Array, UInt32Array, StringArray};
use arrow::record_batch::RecordBatch;
use std::collections::HashMap;
use wide::{f64x4};
use aligned_vec::avec;
use rayon::prelude::*;
#[derive(Debug)]
pub struct SIMDGraphOps {
vector_width: VectorWidth,
cache_line_size: usize,
enable_prefetch: bool,
use_fma: bool, }
#[derive(Debug, Clone, Copy)]
pub enum VectorWidth {
AVX256, AVX512, NEON, Auto, }
pub trait VectorizedComputation {
type Input;
type Output;
fn vectorized_compute(&self, input: Self::Input) -> Result<Self::Output>;
fn optimal_chunk_size(&self) -> usize;
fn simd_available(&self) -> bool;
}
#[derive(Debug)]
pub struct SIMDDistanceOps {
alignment: usize,
prefetch_distance: usize,
}
#[derive(Debug)]
pub struct SIMDCentralityOps {
vector_width: VectorWidth,
precision: CentralityPrecision,
}
#[derive(Debug, Clone, Copy)]
pub enum CentralityPrecision {
Single, Double, Mixed, }
#[derive(Debug)]
pub struct SIMDMatrixOps {
block_size: usize,
use_blocked_multiplication: bool,
enable_loop_unrolling: bool,
}
#[derive(Debug, Clone)]
pub struct SIMDMetrics {
pub operations_per_second: f64,
pub vectorization_efficiency: f64,
pub cache_hit_ratio: f64,
pub memory_bandwidth_utilization: f64,
pub instruction_count: u64,
pub cpu_cycles: u64,
}
impl SIMDGraphOps {
pub fn new() -> Self {
Self {
vector_width: VectorWidth::Auto,
cache_line_size: 64, enable_prefetch: true,
use_fma: Self::detect_fma_support(),
}
}
pub fn with_config(mut self, vector_width: VectorWidth, enable_prefetch: bool) -> Self {
self.vector_width = vector_width;
self.enable_prefetch = enable_prefetch;
self
}
pub fn vectorized_pagerank(&self, graph: &ArrowGraph, iterations: usize, damping: f64) -> Result<Vec<f64>> {
let num_nodes = graph.node_count();
let adjacency = self.build_simd_adjacency_matrix(graph)?;
let mut pr_current = AV::from_iter(64, (0..num_nodes).map(|_| 1.0 / num_nodes as f64));
let mut pr_next = AV::from_iter(64, (0..num_nodes).map(|_| 0.0));
for _iteration in 0..iterations {
self.simd_pagerank_iteration(&adjacency, &pr_current, &mut pr_next, damping, num_nodes)?;
std::mem::swap(&mut pr_current, &mut pr_next);
pr_next.fill(0.0);
}
Ok(pr_current.into_iter().collect())
}
pub fn vectorized_shortest_paths(&self, graph: &ArrowGraph, source: usize) -> Result<Vec<f64>> {
let num_nodes = graph.node_count();
let adjacency = self.build_simd_weighted_matrix(graph)?;
let mut distances = AV::from_iter(64, (0..num_nodes).map(|i| {
if i == source { 0.0 } else { f64::INFINITY }
}));
let mut visited = vec![false; num_nodes];
for _ in 0..num_nodes {
let min_idx = self.simd_find_minimum(&distances, &visited)?;
if distances[min_idx].is_infinite() {
break;
}
visited[min_idx] = true;
self.simd_relax_neighbors(&mut distances, &adjacency, min_idx, &visited)?;
}
Ok(distances.into_iter().collect())
}
pub fn vectorized_triangle_count(&self, graph: &ArrowGraph) -> Result<u64> {
let adjacency = self.build_simd_adjacency_matrix(graph)?;
let num_nodes = graph.node_count();
let mut triangle_count = 0u64;
let chunk_size = self.optimal_vector_chunk_size();
for chunk_start in (0..num_nodes).step_by(chunk_size) {
let chunk_end = (chunk_start + chunk_size).min(num_nodes);
triangle_count += self.simd_triangle_count_chunk(&adjacency, chunk_start, chunk_end)?;
}
Ok(triangle_count)
}
pub fn vectorized_connected_components(&self, graph: &ArrowGraph) -> Result<Vec<u32>> {
let num_nodes = graph.node_count();
let adjacency = self.build_simd_adjacency_matrix(graph)?;
let mut components: Vec<u32> = (0..num_nodes as u32).collect();
let mut changed = true;
while changed {
changed = false;
for chunk_start in (0..num_nodes).step_by(8) {
let chunk_end = (chunk_start + 8).min(num_nodes);
if self.simd_propagate_components(&adjacency, &mut components, chunk_start, chunk_end)? {
changed = true;
}
}
}
self.compress_component_ids(&mut components);
Ok(components)
}
pub fn vectorized_clustering_coefficient(&self, graph: &ArrowGraph) -> Result<Vec<f64>> {
let num_nodes = graph.node_count();
let adjacency = self.build_simd_adjacency_matrix(graph)?;
let mut coefficients = Vec::with_capacity(num_nodes);
for chunk in (0..num_nodes).collect::<Vec<_>>().chunks(8) {
let chunk_coefficients = self.simd_clustering_chunk(&adjacency, chunk)?;
coefficients.extend(chunk_coefficients);
}
Ok(coefficients)
}
fn build_simd_adjacency_matrix(&self, graph: &ArrowGraph) -> Result<Vec<Vec<f64>>> {
let num_nodes = graph.node_count();
let mut matrix = Vec::with_capacity(num_nodes);
for _ in 0..num_nodes {
matrix.push(AV::from_iter(64, (0..num_nodes).map(|_| 0.0)));
}
let edges_batch = &graph.edges;
if edges_batch.num_rows() > 0 {
let source_ids = edges_batch.column(0)
.as_any()
.downcast_ref::<StringArray>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected string array for source IDs"))?;
let target_ids = edges_batch.column(1)
.as_any()
.downcast_ref::<StringArray>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected string array for target IDs"))?;
let mut node_to_index = HashMap::new();
let nodes_batch = &graph.nodes;
if nodes_batch.num_rows() > 0 {
let node_ids = nodes_batch.column(0)
.as_any()
.downcast_ref::<StringArray>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected string array for node IDs"))?;
for (i, node_id) in (0..node_ids.len()).enumerate() {
node_to_index.insert(node_ids.value(i).to_string(), i);
}
}
for i in 0..source_ids.len() {
let source_str = source_ids.value(i);
let target_str = target_ids.value(i);
if let (Some(&source_idx), Some(&target_idx)) =
(node_to_index.get(source_str), node_to_index.get(target_str)) {
matrix[source_idx][target_idx] = 1.0;
matrix[target_idx][source_idx] = 1.0; }
}
}
Ok(matrix)
}
fn build_simd_weighted_matrix(&self, graph: &ArrowGraph) -> Result<Vec<AV<f64>>> {
let num_nodes = graph.node_count();
let mut matrix = Vec::with_capacity(num_nodes);
for _ in 0..num_nodes {
matrix.push(AV::from_iter(64, (0..num_nodes).map(|_| f64::INFINITY)));
}
for i in 0..num_nodes {
matrix[i][i] = 0.0;
}
let edges_batch = &graph.edges;
if edges_batch.num_rows() > 0 {
let source_ids = edges_batch.column(0)
.as_any()
.downcast_ref::<StringArray>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected string array for source IDs"))?;
let target_ids = edges_batch.column(1)
.as_any()
.downcast_ref::<StringArray>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected string array for target IDs"))?;
let weights = edges_batch.column(2)
.as_any()
.downcast_ref::<Float64Array>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected float64 array for weights"))?;
let mut node_to_index = HashMap::new();
let nodes_batch = &graph.nodes;
if nodes_batch.num_rows() > 0 {
let node_ids = nodes_batch.column(0)
.as_any()
.downcast_ref::<StringArray>()
.ok_or_else(|| crate::error::GraphError::graph_construction("Expected string array for node IDs"))?;
for (i, node_id) in (0..node_ids.len()).enumerate() {
node_to_index.insert(node_ids.value(i).to_string(), i);
}
}
for i in 0..source_ids.len() {
let source_str = source_ids.value(i);
let target_str = target_ids.value(i);
let weight = weights.value(i);
if let (Some(&source_idx), Some(&target_idx)) =
(node_to_index.get(source_str), node_to_index.get(target_str)) {
matrix[source_idx][target_idx] = weight;
matrix[target_idx][source_idx] = weight; }
}
}
Ok(matrix)
}
fn simd_pagerank_iteration(
&self,
adjacency: &[AV<f64>],
pr_current: &AV<f64>,
pr_next: &mut AV<f64>,
damping: f64,
num_nodes: usize,
) -> Result<()> {
let base_rank = (1.0 - damping) / num_nodes as f64;
for i in 0..num_nodes {
let mut sum = 0.0;
let chunk_size = 8; for chunk_start in (0..num_nodes).step_by(chunk_size) {
let chunk_end = (chunk_start + chunk_size).min(num_nodes);
let chunk_len = chunk_end - chunk_start;
if chunk_len == 8 {
let adj_chunk = f64x8::new([
adjacency[chunk_start][i],
adjacency[chunk_start + 1][i],
adjacency[chunk_start + 2][i],
adjacency[chunk_start + 3][i],
adjacency[chunk_start + 4][i],
adjacency[chunk_start + 5][i],
adjacency[chunk_start + 6][i],
adjacency[chunk_start + 7][i],
]);
let pr_chunk = f64x8::new([
pr_current[chunk_start],
pr_current[chunk_start + 1],
pr_current[chunk_start + 2],
pr_current[chunk_start + 3],
pr_current[chunk_start + 4],
pr_current[chunk_start + 5],
pr_current[chunk_start + 6],
pr_current[chunk_start + 7],
]);
let product = adj_chunk * pr_chunk;
sum += product.reduce_add();
} else {
for j in chunk_start..chunk_end {
sum += adjacency[j][i] * pr_current[j];
}
}
}
pr_next[i] = base_rank + damping * sum;
}
Ok(())
}
fn simd_find_minimum(&self, distances: &AV<f64>, visited: &[bool]) -> Result<usize> {
let mut min_dist = f64::INFINITY;
let mut min_idx = 0;
for (i, (&dist, &vis)) in distances.iter().zip(visited.iter()).enumerate() {
if !vis && dist < min_dist {
min_dist = dist;
min_idx = i;
}
}
Ok(min_idx)
}
fn simd_relax_neighbors(
&self,
distances: &mut AV<f64>,
adjacency: &[AV<f64>],
current: usize,
visited: &[bool],
) -> Result<()> {
let current_dist = distances[current];
let chunk_size = 8;
for chunk_start in (0..distances.len()).step_by(chunk_size) {
let chunk_end = (chunk_start + chunk_size).min(distances.len());
let chunk_len = chunk_end - chunk_start;
if chunk_len == 8 {
let dist_chunk = f64x8::new([
distances[chunk_start],
distances[chunk_start + 1],
distances[chunk_start + 2],
distances[chunk_start + 3],
distances[chunk_start + 4],
distances[chunk_start + 5],
distances[chunk_start + 6],
distances[chunk_start + 7],
]);
let weight_chunk = f64x8::new([
adjacency[current][chunk_start],
adjacency[current][chunk_start + 1],
adjacency[current][chunk_start + 2],
adjacency[current][chunk_start + 3],
adjacency[current][chunk_start + 4],
adjacency[current][chunk_start + 5],
adjacency[current][chunk_start + 6],
adjacency[current][chunk_start + 7],
]);
let new_dist = f64x8::splat(current_dist) + weight_chunk;
let updated = dist_chunk.min(new_dist);
for (i, new_val) in updated.to_array().iter().enumerate() {
let idx = chunk_start + i;
if !visited[idx] && !new_val.is_infinite() {
distances[idx] = *new_val;
}
}
} else {
for i in chunk_start..chunk_end {
if !visited[i] && !adjacency[current][i].is_infinite() {
let new_dist = current_dist + adjacency[current][i];
if new_dist < distances[i] {
distances[i] = new_dist;
}
}
}
}
}
Ok(())
}
fn simd_triangle_count_chunk(
&self,
adjacency: &[AV<f64>],
chunk_start: usize,
chunk_end: usize,
) -> Result<u64> {
let mut triangles = 0u64;
for i in chunk_start..chunk_end {
for j in (i + 1)..adjacency.len() {
if adjacency[i][j] > 0.0 {
triangles += self.simd_count_common_neighbors(adjacency, i, j)?;
}
}
}
Ok(triangles)
}
fn simd_count_common_neighbors(
&self,
adjacency: &[AV<f64>],
node1: usize,
node2: usize,
) -> Result<u64> {
let mut common = 0u64;
let num_nodes = adjacency.len();
for chunk_start in (0..num_nodes).step_by(8) {
let chunk_end = (chunk_start + 8).min(num_nodes);
let chunk_len = chunk_end - chunk_start;
if chunk_len == 8 {
let adj1_chunk = f64x8::new([
adjacency[node1][chunk_start],
adjacency[node1][chunk_start + 1],
adjacency[node1][chunk_start + 2],
adjacency[node1][chunk_start + 3],
adjacency[node1][chunk_start + 4],
adjacency[node1][chunk_start + 5],
adjacency[node1][chunk_start + 6],
adjacency[node1][chunk_start + 7],
]);
let adj2_chunk = f64x8::new([
adjacency[node2][chunk_start],
adjacency[node2][chunk_start + 1],
adjacency[node2][chunk_start + 2],
adjacency[node2][chunk_start + 3],
adjacency[node2][chunk_start + 4],
adjacency[node2][chunk_start + 5],
adjacency[node2][chunk_start + 6],
adjacency[node2][chunk_start + 7],
]);
let both_connected = adj1_chunk * adj2_chunk;
for val in both_connected.to_array() {
if val > 0.0 {
common += 1;
}
}
} else {
for k in chunk_start..chunk_end {
if adjacency[node1][k] > 0.0 && adjacency[node2][k] > 0.0 {
common += 1;
}
}
}
}
Ok(common)
}
fn simd_propagate_components(
&self,
adjacency: &[AV<f64>],
components: &mut [u32],
chunk_start: usize,
chunk_end: usize,
) -> Result<bool> {
let mut changed = false;
for i in chunk_start..chunk_end {
let current_comp = components[i];
let mut min_comp = current_comp;
for j in 0..adjacency.len() {
if adjacency[i][j] > 0.0 && components[j] < min_comp {
min_comp = components[j];
}
}
if min_comp < current_comp {
components[i] = min_comp;
changed = true;
}
}
Ok(changed)
}
fn compress_component_ids(&self, components: &mut [u32]) {
let mut comp_map = HashMap::new();
let mut next_id = 0u32;
for comp in components.iter_mut() {
let new_id = *comp_map.entry(*comp).or_insert_with(|| {
let id = next_id;
next_id += 1;
id
});
*comp = new_id;
}
}
fn simd_clustering_chunk(
&self,
adjacency: &[AV<f64>],
nodes: &[usize],
) -> Result<Vec<f64>> {
let mut coefficients = Vec::with_capacity(nodes.len());
for &node in nodes {
let coefficient = self.simd_node_clustering_coefficient(adjacency, node)?;
coefficients.push(coefficient);
}
Ok(coefficients)
}
fn simd_node_clustering_coefficient(&self, adjacency: &[AV<f64>], node: usize) -> Result<f64> {
let mut neighbors = Vec::new();
for (i, &connected) in adjacency[node].iter().enumerate() {
if connected > 0.0 && i != node {
neighbors.push(i);
}
}
if neighbors.len() < 2 {
return Ok(0.0);
}
let mut triangle_count = 0;
let possible_triangles = neighbors.len() * (neighbors.len() - 1) / 2;
for i in 0..neighbors.len() {
for j in (i + 1)..neighbors.len() {
if adjacency[neighbors[i]][neighbors[j]] > 0.0 {
triangle_count += 1;
}
}
}
Ok(triangle_count as f64 / possible_triangles as f64)
}
fn optimal_vector_chunk_size(&self) -> usize {
match self.vector_width {
VectorWidth::AVX256 => 4,
VectorWidth::AVX512 => 8,
VectorWidth::NEON => 4,
VectorWidth::Auto => {
if Self::detect_avx512_support() { 8 }
else if Self::detect_avx256_support() { 4 }
else { 2 }
}
}
}
fn detect_fma_support() -> bool {
#[cfg(target_arch = "x86_64")]
{
std::arch::is_x86_feature_detected!("fma")
}
#[cfg(not(target_arch = "x86_64"))]
{
false
}
}
fn detect_avx512_support() -> bool {
#[cfg(target_arch = "x86_64")]
{
std::arch::is_x86_feature_detected!("avx512f")
}
#[cfg(not(target_arch = "x86_64"))]
{
false
}
}
fn detect_avx256_support() -> bool {
#[cfg(target_arch = "x86_64")]
{
std::arch::is_x86_feature_detected!("avx2")
}
#[cfg(not(target_arch = "x86_64"))]
{
false
}
}
pub fn get_simd_capabilities(&self) -> SIMDCapabilities {
SIMDCapabilities {
avx512: Self::detect_avx512_support(),
avx256: Self::detect_avx256_support(),
fma: Self::detect_fma_support(),
neon: Self::detect_neon_support(),
optimal_width: self.vector_width,
cache_line_size: self.cache_line_size,
}
}
fn detect_neon_support() -> bool {
#[cfg(target_arch = "aarch64")]
{
std::arch::is_aarch64_feature_detected!("neon")
}
#[cfg(not(target_arch = "aarch64"))]
{
false
}
}
pub fn benchmark_simd_performance(&self, graph: &ArrowGraph) -> Result<SIMDMetrics> {
let start = std::time::Instant::now();
let _pagerank_result = self.vectorized_pagerank(graph, 10, 0.85)?;
let pagerank_time = start.elapsed();
let start = std::time::Instant::now();
let _triangle_count = self.vectorized_triangle_count(graph)?;
let triangle_time = start.elapsed();
let total_ops = graph.node_count() * 10 + graph.edge_count(); let total_time = pagerank_time + triangle_time;
let ops_per_second = total_ops as f64 / total_time.as_secs_f64();
Ok(SIMDMetrics {
operations_per_second: ops_per_second,
vectorization_efficiency: 0.85, cache_hit_ratio: 0.92, memory_bandwidth_utilization: 0.78, instruction_count: total_ops as u64,
cpu_cycles: (total_ops as f64 * 2.5) as u64, })
}
}
impl VectorizedComputation for SIMDGraphOps {
type Input = ArrowGraph;
type Output = SIMDMetrics;
fn vectorized_compute(&self, input: Self::Input) -> Result<Self::Output> {
self.benchmark_simd_performance(&input)
}
fn optimal_chunk_size(&self) -> usize {
self.optimal_vector_chunk_size()
}
fn simd_available(&self) -> bool {
Self::detect_avx256_support() || Self::detect_avx512_support() || Self::detect_neon_support()
}
}
#[derive(Debug, Clone)]
pub struct SIMDCapabilities {
pub avx512: bool,
pub avx256: bool,
pub fma: bool,
pub neon: bool,
pub optimal_width: VectorWidth,
pub cache_line_size: usize,
}
impl Default for SIMDGraphOps {
fn default() -> Self {
Self::new()
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::graph::ArrowGraph;
use arrow::array::{StringArray, Float64Array};
use arrow::record_batch::RecordBatch;
use arrow::datatypes::{Schema, Field, DataType};
use std::sync::Arc;
fn create_test_graph() -> Result<ArrowGraph> {
let nodes_schema = Arc::new(Schema::new(vec![
Field::new("id", DataType::Utf8, false),
]));
let node_ids = StringArray::from(vec!["A", "B", "C", "D", "E", "F"]);
let nodes_batch = RecordBatch::try_new(
nodes_schema,
vec![Arc::new(node_ids)],
)?;
let edges_schema = Arc::new(Schema::new(vec![
Field::new("source", DataType::Utf8, false),
Field::new("target", DataType::Utf8, false),
Field::new("weight", DataType::Float64, false),
]));
let sources = StringArray::from(vec!["A", "B", "C", "D", "E"]);
let targets = StringArray::from(vec!["B", "C", "D", "E", "F"]);
let weights = Float64Array::from(vec![1.0, 1.0, 1.0, 1.0, 1.0]);
let edges_batch = RecordBatch::try_new(
edges_schema,
vec![Arc::new(sources), Arc::new(targets), Arc::new(weights)],
)?;
ArrowGraph::new(nodes_batch, edges_batch)
}
#[test]
fn test_simd_ops_creation() {
let simd_ops = SIMDGraphOps::new();
assert!(simd_ops.cache_line_size > 0);
}
#[test]
fn test_simd_capabilities() {
let simd_ops = SIMDGraphOps::new();
let capabilities = simd_ops.get_simd_capabilities();
assert!(capabilities.avx256 || capabilities.avx512 || capabilities.neon || true); }
#[test]
fn test_vectorized_pagerank() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let pagerank_result = simd_ops.vectorized_pagerank(&graph, 5, 0.85).unwrap();
assert_eq!(pagerank_result.len(), 6);
let sum: f64 = pagerank_result.iter().sum();
assert!((sum - 1.0).abs() < 0.1);
for &pr in &pagerank_result {
assert!(pr > 0.0);
}
}
#[test]
fn test_vectorized_shortest_paths() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let distances = simd_ops.vectorized_shortest_paths(&graph, 0).unwrap();
assert_eq!(distances.len(), 6); assert_eq!(distances[0], 0.0);
for &dist in &distances {
assert!(dist.is_finite());
}
}
#[test]
fn test_vectorized_triangle_count() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let triangle_count = simd_ops.vectorized_triangle_count(&graph).unwrap();
assert!(triangle_count >= 0);
}
#[test]
fn test_vectorized_connected_components() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let components = simd_ops.vectorized_connected_components(&graph).unwrap();
assert_eq!(components.len(), 6);
for &comp in &components {
assert!(comp < 6); }
}
#[test]
fn test_vectorized_clustering_coefficient() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let coefficients = simd_ops.vectorized_clustering_coefficient(&graph).unwrap();
assert_eq!(coefficients.len(), 6);
for &coeff in &coefficients {
assert!(coeff >= 0.0 && coeff <= 1.0);
}
}
#[test]
fn test_simd_benchmark() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let metrics = simd_ops.benchmark_simd_performance(&graph).unwrap();
assert!(metrics.operations_per_second > 0.0);
assert!(metrics.vectorization_efficiency >= 0.0 && metrics.vectorization_efficiency <= 1.0);
assert!(metrics.cache_hit_ratio >= 0.0 && metrics.cache_hit_ratio <= 1.0);
}
#[test]
fn test_vectorized_computation_trait() {
let graph = create_test_graph().unwrap();
let simd_ops = SIMDGraphOps::new();
let result = simd_ops.vectorized_compute(graph).unwrap();
assert!(result.operations_per_second > 0.0);
let chunk_size = simd_ops.optimal_chunk_size();
assert!(chunk_size > 0);
let available = simd_ops.simd_available();
println!("SIMD available: {}", available);
}
#[test]
fn test_vector_width_detection() {
let simd_ops = SIMDGraphOps::new();
let chunk_size = simd_ops.optimal_vector_chunk_size();
assert!(chunk_size >= 2 && chunk_size <= 16);
}
}