use super::*;
pub struct SpectralEmbeddingMapper {
pub embedding_dims: usize,
pub normalization: SpectralNormalization,
pub tolerance: f64,
}
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum SpectralNormalization {
Unnormalized,
Symmetric,
RandomWalk,
}
impl SpectralEmbeddingMapper {
pub fn new(embedding_dims: usize) -> Self {
Self {
embedding_dims,
normalization: SpectralNormalization::Symmetric,
tolerance: 1e-10,
}
}
pub fn embed_graphs(
&self,
logical_graph: &Graph<usize, f64>,
physical_graph: &Graph<usize, f64>,
) -> DeviceResult<(Array2<f64>, Array2<f64>)> {
let logical_embedding = Array2::zeros((logical_graph.node_count(), self.embedding_dims));
let physical_embedding = Array2::zeros((physical_graph.node_count(), self.embedding_dims));
Ok((logical_embedding, physical_embedding))
}
}
pub struct CommunityBasedMapper {
pub method: CommunityMethod,
pub resolution: f64,
pub random_seed: Option<u64>,
}
impl CommunityBasedMapper {
pub fn new(method: CommunityMethod) -> Self {
Self {
method,
resolution: 1.0,
random_seed: None,
}
}
pub fn detect_communities(
&self,
graph: &Graph<usize, f64>,
) -> DeviceResult<HashMap<usize, usize>> {
match self.method {
CommunityMethod::Louvain => self.louvain_communities_result(graph),
CommunityMethod::Leiden => self.leiden_communities(graph),
CommunityMethod::LabelPropagation => self.label_propagation(graph),
CommunityMethod::SpectralClustering => self.spectral_clustering(graph),
CommunityMethod::Walktrap => self.walktrap_communities(graph),
}
}
fn louvain_communities_result(
&self,
graph: &Graph<usize, f64>,
) -> DeviceResult<HashMap<usize, usize>> {
let community_result = louvain_communities_result(graph);
let mut result = HashMap::new();
for (node, community_id) in community_result.node_communities {
result.insert(node, community_id);
}
Ok(result)
}
fn leiden_communities(
&self,
_graph: &Graph<usize, f64>,
) -> DeviceResult<HashMap<usize, usize>> {
Ok(HashMap::new())
}
fn label_propagation(&self, _graph: &Graph<usize, f64>) -> DeviceResult<HashMap<usize, usize>> {
Ok(HashMap::new())
}
fn spectral_clustering(
&self,
_graph: &Graph<usize, f64>,
) -> DeviceResult<HashMap<usize, usize>> {
Ok(HashMap::new())
}
fn walktrap_communities(
&self,
_graph: &Graph<usize, f64>,
) -> DeviceResult<HashMap<usize, usize>> {
Ok(HashMap::new())
}
}
pub struct CentralityWeightedMapper {
pub centrality_measures: Vec<CentralityMeasure>,
pub centrality_weights: Vec<f64>,
pub normalization: CentralityNormalization,
}
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum CentralityMeasure {
Betweenness,
Closeness,
Eigenvector,
PageRank,
Degree,
}
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum CentralityNormalization {
None,
MinMax,
ZScore,
Softmax,
}
impl CentralityWeightedMapper {
pub fn new() -> Self {
Self {
centrality_measures: vec![
CentralityMeasure::Betweenness,
CentralityMeasure::Closeness,
CentralityMeasure::PageRank,
],
centrality_weights: vec![0.4, 0.3, 0.3],
normalization: CentralityNormalization::MinMax,
}
}
pub fn calculate_centralities(
&self,
graph: &Graph<usize, f64>,
) -> DeviceResult<HashMap<usize, f64>> {
use scirs2_graph::pagerank_centrality;
let mut combined_centrality = HashMap::new();
for (measure, weight) in self
.centrality_measures
.iter()
.zip(&self.centrality_weights)
{
let centrality = match measure {
CentralityMeasure::Betweenness => {
betweenness_centrality(graph, true)
}
CentralityMeasure::Closeness => {
closeness_centrality(graph, true)
}
CentralityMeasure::Eigenvector => {
eigenvector_centrality(graph, 100, 1e-6).map_err(|e| {
DeviceError::GraphAnalysisError(format!("Eigenvector failed: {:?}", e))
})?
}
CentralityMeasure::PageRank => {
pagerank_centrality(graph, 0.85, 1e-6).map_err(|e| {
DeviceError::GraphAnalysisError(format!("PageRank failed: {:?}", e))
})?
}
CentralityMeasure::Degree => {
let mut degree_centrality = HashMap::new();
for node in graph.nodes() {
let degree = graph.degree(node) as f64;
degree_centrality.insert(*node, degree);
}
degree_centrality
}
};
let normalized = self.normalize_centrality(¢rality);
for (node, value) in normalized {
*combined_centrality.entry(node).or_insert(0.0) += weight * value;
}
}
Ok(combined_centrality)
}
fn normalize_centrality(&self, centrality: &HashMap<usize, f64>) -> HashMap<usize, f64> {
match self.normalization {
CentralityNormalization::None => centrality.clone(),
CentralityNormalization::MinMax => {
let values: Vec<f64> = centrality.values().copied().collect();
let min_val = values.iter().fold(f64::INFINITY, |a, &b| a.min(b));
let max_val = values.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b));
let range = max_val - min_val;
if range > 1e-10 {
centrality
.iter()
.map(|(&k, &v)| (k, (v - min_val) / range))
.collect()
} else {
centrality.iter().map(|(&k, _)| (k, 0.5)).collect()
}
}
CentralityNormalization::ZScore => {
let values: Vec<f64> = centrality.values().copied().collect();
let mean = values.iter().sum::<f64>() / values.len() as f64;
let var =
values.iter().map(|v| (v - mean).powi(2)).sum::<f64>() / values.len() as f64;
let std_dev = var.sqrt();
if std_dev > 1e-10 {
centrality
.iter()
.map(|(&k, &v)| (k, (v - mean) / std_dev))
.collect()
} else {
centrality.iter().map(|(&k, _)| (k, 0.0)).collect()
}
}
CentralityNormalization::Softmax => {
let values: Vec<f64> = centrality.values().copied().collect();
let max_val = values.iter().fold(f64::NEG_INFINITY, |a, &b| a.max(b));
let exp_sum: f64 = values.iter().map(|v| (v - max_val).exp()).sum();
centrality
.iter()
.map(|(&k, &v)| (k, (v - max_val).exp() / exp_sum))
.collect()
}
}
}
}
pub struct BipartiteMatchingMapper {
pub weight_method: WeightMethod,
pub max_weight: f64,
}
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum WeightMethod {
Distance,
Fidelity,
Hybrid {
distance_weight: f64,
fidelity_weight: f64,
},
}
impl BipartiteMatchingMapper {
pub fn new() -> Self {
Self {
weight_method: WeightMethod::Hybrid {
distance_weight: 0.6,
fidelity_weight: 0.4,
},
max_weight: 100.0,
}
}
pub fn find_optimal_mapping(
&self,
logical_graph: &Graph<usize, f64>,
physical_graph: &Graph<usize, f64>,
calibration: Option<&DeviceCalibration>,
) -> DeviceResult<HashMap<usize, usize>> {
let (bipartite_graph, coloring, logical_ids, physical_offset) =
self.build_bipartite_graph(logical_graph, physical_graph, calibration)?;
let matching_result = maximum_bipartite_matching(&bipartite_graph, &coloring);
let mut mapping = HashMap::new();
for (logical_node, physical_node) in matching_result.matching {
let logical_id = logical_node;
let physical_id = physical_node.saturating_sub(physical_offset);
mapping.insert(logical_id, physical_id);
}
for logical_id in &logical_ids {
if !mapping.contains_key(logical_id) {
let used_physical: std::collections::HashSet<_> = mapping.values().collect();
for phys in 0..physical_graph.node_count() {
if !used_physical.contains(&phys) {
mapping.insert(*logical_id, phys);
break;
}
}
}
}
Ok(mapping)
}
fn build_bipartite_graph(
&self,
logical_graph: &Graph<usize, f64>,
physical_graph: &Graph<usize, f64>,
calibration: Option<&DeviceCalibration>,
) -> DeviceResult<(Graph<usize, f64>, HashMap<usize, u8>, Vec<usize>, usize)> {
let mut bipartite = Graph::new();
let mut coloring = HashMap::new();
let physical_offset = 1000;
let mut logical_ids = Vec::new();
for &node_data in logical_graph.nodes() {
bipartite.add_node(node_data);
coloring.insert(node_data, 0u8);
logical_ids.push(node_data);
}
let mut physical_ids = Vec::new();
for &node_data in physical_graph.nodes() {
let offset_node = node_data + physical_offset;
bipartite.add_node(offset_node);
coloring.insert(offset_node, 1u8);
physical_ids.push(node_data);
}
for &logical_id in &logical_ids {
for &physical_id in &physical_ids {
let weight = self.calculate_assignment_weight(logical_id, physical_id, calibration);
let _ = bipartite.add_edge(logical_id, physical_id + physical_offset, weight);
}
}
Ok((bipartite, coloring, logical_ids, physical_offset))
}
fn calculate_assignment_weight(
&self,
_logical_id: usize,
_physical_id: usize,
calibration: Option<&DeviceCalibration>,
) -> f64 {
match self.weight_method {
WeightMethod::Distance => {
1.0
}
WeightMethod::Fidelity => {
if let Some(cal) = calibration {
cal.single_qubit_fidelity(_physical_id).unwrap_or(0.99)
} else {
0.99
}
}
WeightMethod::Hybrid {
distance_weight,
fidelity_weight,
} => {
let distance_score = 1.0; let fidelity_score = if let Some(cal) = calibration {
cal.single_qubit_fidelity(_physical_id).unwrap_or(0.99)
} else {
0.99
};
distance_weight * distance_score + fidelity_weight * fidelity_score
}
}
}
}
pub struct MultilevelPartitioner {
pub num_levels: usize,
pub coarsening_ratio: f64,
pub base_partitioner: BasePartitioner,
}
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum BasePartitioner {
SpectralBisection,
KernighanLin,
FiducciaMattheyses,
RandomBisection,
}
impl MultilevelPartitioner {
pub fn new() -> Self {
Self {
num_levels: 5,
coarsening_ratio: 0.5,
base_partitioner: BasePartitioner::SpectralBisection,
}
}
pub fn partition_graph(
&self,
graph: &Graph<usize, f64>,
num_partitions: usize,
) -> DeviceResult<HashMap<usize, usize>> {
let mut partition = HashMap::new();
let nodes = graph.nodes();
for (i, node_data) in nodes.iter().enumerate() {
partition.insert(**node_data, i % num_partitions);
}
Ok(partition)
}
}