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//! # Prime-Radiant Advanced WASM Bindings
//!
//! WebAssembly bindings for all 6 Prime-Radiant Advanced Math modules:
//!
//! - **CohomologyEngine**: Sheaf cohomology computations
//! - **CategoryEngine**: Functorial retrieval and topos operations
//! - **HoTTEngine**: Type checking and path operations
//! - **SpectralEngine**: Eigenvalue computation and Cheeger bounds
//! - **CausalEngine**: Causal inference and interventions
//! - **QuantumEngine**: Topological invariants and quantum simulation
//!
//! ## Usage from JavaScript/TypeScript
//!
//! ```typescript
//! import init, {
//! CohomologyEngine,
//! SpectralEngine,
//! CausalEngine,
//! QuantumEngine,
//! CategoryEngine,
//! HoTTEngine,
//! } from 'prime-radiant-advanced-wasm';
//!
//! await init();
//!
//! const cohomology = new CohomologyEngine();
//! const obstructions = cohomology.detectObstructions(beliefGraph);
//! ```
use wasm_bindgen::prelude::*;
use serde::{Deserialize, Serialize};
use std::collections::HashMap;
// Set up panic hook for better error messages
#[wasm_bindgen(start)]
pub fn start() {
#[cfg(feature = "console_error_panic_hook")]
console_error_panic_hook::set_once();
}
// ============================================================================
// Common Types
// ============================================================================
/// JavaScript-friendly error type
#[wasm_bindgen]
#[derive(Debug, Clone)]
pub struct WasmError {
message: String,
code: String,
}
#[wasm_bindgen]
impl WasmError {
#[wasm_bindgen(getter)]
pub fn message(&self) -> String {
self.message.clone()
}
#[wasm_bindgen(getter)]
pub fn code(&self) -> String {
self.code.clone()
}
}
impl From<String> for WasmError {
fn from(msg: String) -> Self {
Self {
message: msg,
code: "ERROR".to_string(),
}
}
}
// ============================================================================
// Cohomology Engine
// ============================================================================
/// Sheaf node for cohomology computations
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct SheafNode {
pub id: usize,
pub label: String,
pub section: Vec<f64>,
pub weight: f64,
}
/// Sheaf edge with restriction map
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct SheafEdge {
pub source: usize,
pub target: usize,
pub restriction_map: Vec<f64>,
pub source_dim: usize,
pub target_dim: usize,
}
/// Sheaf graph structure
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct SheafGraph {
pub nodes: Vec<SheafNode>,
pub edges: Vec<SheafEdge>,
}
/// Result of cohomology computation
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct CohomologyResult {
pub h0_dim: usize,
pub h1_dim: usize,
pub euler_characteristic: i64,
pub consistency_energy: f64,
pub is_consistent: bool,
}
/// Detected obstruction
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct Obstruction {
pub edge_index: usize,
pub source_node: usize,
pub target_node: usize,
pub obstruction_vector: Vec<f64>,
pub magnitude: f64,
pub description: String,
}
/// Sheaf cohomology computation engine
#[wasm_bindgen]
pub struct CohomologyEngine {
tolerance: f64,
}
#[wasm_bindgen]
impl CohomologyEngine {
/// Create a new cohomology engine
#[wasm_bindgen(constructor)]
pub fn new() -> Self {
Self { tolerance: 1e-10 }
}
/// Create with custom tolerance
#[wasm_bindgen(js_name = withTolerance)]
pub fn with_tolerance(tolerance: f64) -> Self {
Self { tolerance }
}
/// Compute cohomology groups of a sheaf graph
#[wasm_bindgen(js_name = computeCohomology)]
pub fn compute_cohomology(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: SheafGraph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let result = self.compute_cohomology_internal(&graph);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Detect all obstructions to global consistency
#[wasm_bindgen(js_name = detectObstructions)]
pub fn detect_obstructions(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: SheafGraph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let obstructions = self.detect_obstructions_internal(&graph);
serde_wasm_bindgen::to_value(&obstructions)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize obstructions: {}", e)))
}
/// Compute global sections (H^0)
#[wasm_bindgen(js_name = computeGlobalSections)]
pub fn compute_global_sections(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: SheafGraph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let sections = self.compute_global_sections_internal(&graph);
serde_wasm_bindgen::to_value(&sections)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize sections: {}", e)))
}
/// Compute consistency energy
#[wasm_bindgen(js_name = consistencyEnergy)]
pub fn consistency_energy(&self, graph_js: JsValue) -> Result<f64, JsValue> {
let graph: SheafGraph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
Ok(self.compute_consistency_energy_internal(&graph))
}
}
impl CohomologyEngine {
fn compute_cohomology_internal(&self, graph: &SheafGraph) -> CohomologyResult {
if graph.nodes.is_empty() {
return CohomologyResult {
h0_dim: 0,
h1_dim: 0,
euler_characteristic: 0,
consistency_energy: 0.0,
is_consistent: true,
};
}
let _c0_dim: usize = graph.nodes.iter().map(|n| n.section.len()).sum();
let _c1_dim: usize = graph.edges.iter().map(|e| e.target_dim).sum();
let consistency_energy = self.compute_consistency_energy_internal(graph);
let is_consistent = consistency_energy < self.tolerance;
// Simplified dimension computation
let h0_dim = if is_consistent { 1 } else { 0 };
let h1_dim = if is_consistent { 0 } else { graph.edges.len() };
CohomologyResult {
h0_dim,
h1_dim,
euler_characteristic: h0_dim as i64 - h1_dim as i64,
consistency_energy,
is_consistent,
}
}
fn detect_obstructions_internal(&self, graph: &SheafGraph) -> Vec<Obstruction> {
let mut obstructions = Vec::new();
for (i, edge) in graph.edges.iter().enumerate() {
if edge.source >= graph.nodes.len() || edge.target >= graph.nodes.len() {
continue;
}
let source = &graph.nodes[edge.source];
let target = &graph.nodes[edge.target];
// Apply restriction map
let restricted = self.apply_restriction(edge, &source.section);
// Compute difference
let mut diff = Vec::new();
let mut magnitude_sq = 0.0;
let min_len = restricted.len().min(target.section.len());
for j in 0..min_len {
let d = restricted[j] - target.section[j];
diff.push(d);
magnitude_sq += d * d;
}
let magnitude = magnitude_sq.sqrt();
if magnitude > self.tolerance {
obstructions.push(Obstruction {
edge_index: i,
source_node: edge.source,
target_node: edge.target,
obstruction_vector: diff,
magnitude,
description: format!(
"Inconsistency between '{}' and '{}': magnitude {:.6}",
source.label, target.label, magnitude
),
});
}
}
obstructions.sort_by(|a, b| {
b.magnitude.partial_cmp(&a.magnitude).unwrap_or(std::cmp::Ordering::Equal)
});
obstructions
}
fn compute_global_sections_internal(&self, graph: &SheafGraph) -> Vec<Vec<f64>> {
if graph.nodes.is_empty() {
return Vec::new();
}
let dim = graph.nodes[0].section.len();
let mut avg = vec![0.0; dim];
let mut total_weight = 0.0;
for node in &graph.nodes {
for j in 0..dim.min(node.section.len()) {
avg[j] += node.section[j] * node.weight;
}
total_weight += node.weight;
}
if total_weight > 0.0 {
for v in &mut avg {
*v /= total_weight;
}
vec![avg]
} else {
Vec::new()
}
}
fn compute_consistency_energy_internal(&self, graph: &SheafGraph) -> f64 {
let mut total = 0.0;
for edge in &graph.edges {
if edge.source >= graph.nodes.len() || edge.target >= graph.nodes.len() {
continue;
}
let source = &graph.nodes[edge.source];
let target = &graph.nodes[edge.target];
let restricted = self.apply_restriction(edge, &source.section);
for j in 0..restricted.len().min(target.section.len()) {
let diff = restricted[j] - target.section[j];
total += diff * diff;
}
}
total
}
fn apply_restriction(&self, edge: &SheafEdge, section: &[f64]) -> Vec<f64> {
let mut result = vec![0.0; edge.target_dim];
for i in 0..edge.target_dim {
for j in 0..edge.source_dim.min(section.len()) {
if i * edge.source_dim + j < edge.restriction_map.len() {
result[i] += edge.restriction_map[i * edge.source_dim + j] * section[j];
}
}
}
result
}
}
impl Default for CohomologyEngine {
fn default() -> Self {
Self::new()
}
}
// ============================================================================
// Spectral Engine
// ============================================================================
/// Graph structure for spectral analysis
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct Graph {
pub n: usize,
pub edges: Vec<(usize, usize, f64)>,
}
/// Cheeger bounds result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct CheegerBounds {
pub lower_bound: f64,
pub upper_bound: f64,
pub cheeger_estimate: f64,
pub fiedler_value: f64,
}
/// Spectral gap information
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct SpectralGap {
pub lambda_1: f64,
pub lambda_2: f64,
pub gap: f64,
pub ratio: f64,
}
/// Min-cut prediction
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct MinCutPrediction {
pub predicted_cut: f64,
pub lower_bound: f64,
pub upper_bound: f64,
pub confidence: f64,
pub cut_nodes: Vec<usize>,
}
/// Spectral analysis engine
#[wasm_bindgen]
pub struct SpectralEngine {
num_eigenvalues: usize,
tolerance: f64,
max_iterations: usize,
}
#[wasm_bindgen]
impl SpectralEngine {
/// Create a new spectral engine
#[wasm_bindgen(constructor)]
pub fn new() -> Self {
Self {
num_eigenvalues: 10,
tolerance: 1e-10,
max_iterations: 1000,
}
}
/// Create with configuration
#[wasm_bindgen(js_name = withConfig)]
pub fn with_config(num_eigenvalues: usize, tolerance: f64, max_iterations: usize) -> Self {
Self {
num_eigenvalues,
tolerance,
max_iterations,
}
}
/// Compute Cheeger bounds for a graph
#[wasm_bindgen(js_name = computeCheegerBounds)]
pub fn compute_cheeger_bounds(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: Graph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let bounds = self.compute_cheeger_bounds_internal(&graph);
serde_wasm_bindgen::to_value(&bounds)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize bounds: {}", e)))
}
/// Compute eigenvalues of the graph Laplacian
#[wasm_bindgen(js_name = computeEigenvalues)]
pub fn compute_eigenvalues(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: Graph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let eigenvalues = self.compute_eigenvalues_internal(&graph);
serde_wasm_bindgen::to_value(&eigenvalues)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize eigenvalues: {}", e)))
}
/// Compute the algebraic connectivity (Fiedler value)
#[wasm_bindgen(js_name = algebraicConnectivity)]
pub fn algebraic_connectivity(&self, graph_js: JsValue) -> Result<f64, JsValue> {
let graph: Graph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
Ok(self.compute_fiedler_value(&graph))
}
/// Compute spectral gap
#[wasm_bindgen(js_name = computeSpectralGap)]
pub fn compute_spectral_gap(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: Graph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let gap = self.compute_spectral_gap_internal(&graph);
serde_wasm_bindgen::to_value(&gap)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize gap: {}", e)))
}
/// Predict minimum cut
#[wasm_bindgen(js_name = predictMinCut)]
pub fn predict_min_cut(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: Graph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let prediction = self.predict_min_cut_internal(&graph);
serde_wasm_bindgen::to_value(&prediction)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize prediction: {}", e)))
}
/// Compute Fiedler vector
#[wasm_bindgen(js_name = computeFiedlerVector)]
pub fn compute_fiedler_vector(&self, graph_js: JsValue) -> Result<JsValue, JsValue> {
let graph: Graph = serde_wasm_bindgen::from_value(graph_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse graph: {}", e)))?;
let vector = self.compute_fiedler_vector_internal(&graph);
serde_wasm_bindgen::to_value(&vector)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize vector: {}", e)))
}
}
impl SpectralEngine {
fn compute_cheeger_bounds_internal(&self, graph: &Graph) -> CheegerBounds {
let fiedler = self.compute_fiedler_value(graph);
// Cheeger inequality: λ₂/2 ≤ h(G) ≤ √(2λ₂)
let lower_bound = fiedler / 2.0;
let upper_bound = (2.0 * fiedler).sqrt();
let cheeger_estimate = (lower_bound + upper_bound) / 2.0;
CheegerBounds {
lower_bound,
upper_bound,
cheeger_estimate,
fiedler_value: fiedler,
}
}
fn compute_eigenvalues_internal(&self, graph: &Graph) -> Vec<f64> {
// Build Laplacian and compute eigenvalues using power iteration
let laplacian = self.build_laplacian(graph);
self.power_iteration_eigenvalues(&laplacian, graph.n)
}
fn compute_fiedler_value(&self, graph: &Graph) -> f64 {
let eigenvalues = self.compute_eigenvalues_internal(graph);
// Find first non-trivial eigenvalue
for &ev in &eigenvalues {
if ev > self.tolerance {
return ev;
}
}
0.0
}
fn compute_spectral_gap_internal(&self, graph: &Graph) -> SpectralGap {
let eigenvalues = self.compute_eigenvalues_internal(graph);
let non_trivial: Vec<f64> = eigenvalues
.iter()
.filter(|&&v| v > self.tolerance)
.cloned()
.collect();
let lambda_1 = non_trivial.first().cloned().unwrap_or(0.0);
let lambda_2 = non_trivial.get(1).cloned().unwrap_or(lambda_1 * 2.0);
SpectralGap {
lambda_1,
lambda_2,
gap: lambda_2 - lambda_1,
ratio: if lambda_1 > self.tolerance {
lambda_2 / lambda_1
} else {
f64::INFINITY
},
}
}
fn predict_min_cut_internal(&self, graph: &Graph) -> MinCutPrediction {
let fiedler = self.compute_fiedler_value(graph);
let fiedler_vec = self.compute_fiedler_vector_internal(graph);
let total_weight: f64 = graph.edges.iter().map(|(_, _, w)| *w).sum();
let lower_bound = fiedler / 2.0 * total_weight / 2.0;
let upper_bound = (2.0 * fiedler).sqrt() * total_weight / 2.0;
let predicted_cut = (lower_bound + upper_bound) / 2.0;
// Find cut nodes from Fiedler vector
let cut_nodes: Vec<usize> = fiedler_vec
.iter()
.enumerate()
.filter(|(_, &v)| v > 0.0)
.map(|(i, _)| i)
.collect();
let gap = self.compute_spectral_gap_internal(graph);
let confidence = if gap.ratio > 2.0 { 0.9 }
else if gap.ratio > 1.5 { 0.7 }
else if gap.ratio > 1.2 { 0.5 }
else { 0.3 };
MinCutPrediction {
predicted_cut,
lower_bound,
upper_bound,
confidence,
cut_nodes,
}
}
fn compute_fiedler_vector_internal(&self, graph: &Graph) -> Vec<f64> {
let laplacian = self.build_laplacian(graph);
// Use inverse power iteration with shift to find second eigenvector
let n = graph.n;
let mut v = vec![1.0 / (n as f64).sqrt(); n];
// Make orthogonal to constant vector
let ones = vec![1.0 / (n as f64).sqrt(); n];
for _ in 0..self.max_iterations {
// Multiply by Laplacian
let mut av = vec![0.0; n];
for i in 0..n {
for j in 0..n {
av[i] += laplacian[i * n + j] * v[j];
}
}
// Orthogonalize against constant vector
let dot: f64 = av.iter().zip(ones.iter()).map(|(a, b)| a * b).sum();
for i in 0..n {
av[i] -= dot * ones[i];
}
// Normalize
let norm: f64 = av.iter().map(|x| x * x).sum::<f64>().sqrt();
if norm > self.tolerance {
for i in 0..n {
v[i] = av[i] / norm;
}
}
}
v
}
fn build_laplacian(&self, graph: &Graph) -> Vec<f64> {
let n = graph.n;
let mut laplacian = vec![0.0; n * n];
// Build adjacency and degree
for &(u, v, w) in &graph.edges {
if u < n && v < n {
laplacian[u * n + v] = -w;
laplacian[v * n + u] = -w;
laplacian[u * n + u] += w;
laplacian[v * n + v] += w;
}
}
laplacian
}
fn power_iteration_eigenvalues(&self, matrix: &[f64], n: usize) -> Vec<f64> {
let mut eigenvalues = Vec::new();
let mut work_matrix = matrix.to_vec();
for _ in 0..self.num_eigenvalues.min(n) {
// Power iteration for largest eigenvalue
let mut v = vec![1.0 / (n as f64).sqrt(); n];
let mut lambda = 0.0;
for _ in 0..self.max_iterations {
let mut av = vec![0.0; n];
for i in 0..n {
for j in 0..n {
av[i] += work_matrix[i * n + j] * v[j];
}
}
let norm: f64 = av.iter().map(|x| x * x).sum::<f64>().sqrt();
let new_lambda = v.iter().zip(av.iter()).map(|(a, b)| a * b).sum::<f64>();
if (new_lambda - lambda).abs() < self.tolerance {
lambda = new_lambda;
break;
}
lambda = new_lambda;
if norm > self.tolerance {
for i in 0..n {
v[i] = av[i] / norm;
}
}
}
eigenvalues.push(lambda);
// Deflate matrix
for i in 0..n {
for j in 0..n {
work_matrix[i * n + j] -= lambda * v[i] * v[j];
}
}
}
eigenvalues.sort_by(|a, b| a.partial_cmp(b).unwrap_or(std::cmp::Ordering::Equal));
eigenvalues
}
}
impl Default for SpectralEngine {
fn default() -> Self {
Self::new()
}
}
// ============================================================================
// Causal Engine
// ============================================================================
/// Variable in causal model
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct CausalVariable {
pub name: String,
pub var_type: String, // "continuous", "discrete", "binary"
}
/// Causal edge
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct CausalEdge {
pub from: String,
pub to: String,
}
/// Causal model structure
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct CausalModel {
pub variables: Vec<CausalVariable>,
pub edges: Vec<CausalEdge>,
}
/// Intervention result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct InterventionResult {
pub variable: String,
pub original_value: f64,
pub intervened_value: f64,
pub affected_variables: Vec<String>,
pub causal_effect: f64,
}
/// D-separation result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct DSeparationResult {
pub x: String,
pub y: String,
pub conditioning: Vec<String>,
pub d_separated: bool,
}
/// Causal inference engine
#[wasm_bindgen]
pub struct CausalEngine {
#[allow(dead_code)]
tolerance: f64,
}
#[wasm_bindgen]
impl CausalEngine {
/// Create a new causal engine
#[wasm_bindgen(constructor)]
pub fn new() -> Self {
Self { tolerance: 1e-10 }
}
/// Check d-separation between two variables
#[wasm_bindgen(js_name = checkDSeparation)]
pub fn check_d_separation(
&self,
model_js: JsValue,
x: &str,
y: &str,
conditioning_js: JsValue,
) -> Result<JsValue, JsValue> {
let model: CausalModel = serde_wasm_bindgen::from_value(model_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse model: {}", e)))?;
let conditioning: Vec<String> = serde_wasm_bindgen::from_value(conditioning_js)
.unwrap_or_default();
let result = self.check_d_separation_internal(&model, x, y, &conditioning);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Compute causal effect via do-operator
#[wasm_bindgen(js_name = computeCausalEffect)]
pub fn compute_causal_effect(
&self,
model_js: JsValue,
treatment: &str,
outcome: &str,
treatment_value: f64,
) -> Result<JsValue, JsValue> {
let model: CausalModel = serde_wasm_bindgen::from_value(model_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse model: {}", e)))?;
let result = self.compute_causal_effect_internal(&model, treatment, outcome, treatment_value);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Get topological order of variables
#[wasm_bindgen(js_name = topologicalOrder)]
pub fn topological_order(&self, model_js: JsValue) -> Result<JsValue, JsValue> {
let model: CausalModel = serde_wasm_bindgen::from_value(model_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse model: {}", e)))?;
let order = self.topological_order_internal(&model);
serde_wasm_bindgen::to_value(&order)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize order: {}", e)))
}
/// Find all confounders between two variables
#[wasm_bindgen(js_name = findConfounders)]
pub fn find_confounders(
&self,
model_js: JsValue,
treatment: &str,
outcome: &str,
) -> Result<JsValue, JsValue> {
let model: CausalModel = serde_wasm_bindgen::from_value(model_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse model: {}", e)))?;
let confounders = self.find_confounders_internal(&model, treatment, outcome);
serde_wasm_bindgen::to_value(&confounders)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize confounders: {}", e)))
}
/// Check if model is a valid DAG
#[wasm_bindgen(js_name = isValidDag)]
pub fn is_valid_dag(&self, model_js: JsValue) -> Result<bool, JsValue> {
let model: CausalModel = serde_wasm_bindgen::from_value(model_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse model: {}", e)))?;
Ok(self.is_valid_dag_internal(&model))
}
}
impl CausalEngine {
fn check_d_separation_internal(
&self,
model: &CausalModel,
x: &str,
y: &str,
conditioning: &[String],
) -> DSeparationResult {
// Build adjacency
let _var_names: Vec<&str> = model.variables.iter().map(|v| v.name.as_str()).collect();
let conditioning_set: std::collections::HashSet<&str> =
conditioning.iter().map(|s| s.as_str()).collect();
// Check all paths from x to y (simplified BFS check)
let mut visited = std::collections::HashSet::new();
let mut queue = vec![x.to_string()];
let mut path_blocked = true;
while let Some(current) = queue.pop() {
if current == y {
path_blocked = false;
break;
}
if visited.contains(&current) {
continue;
}
visited.insert(current.clone());
// Check if blocked by conditioning
if conditioning_set.contains(current.as_str()) {
continue;
}
// Add neighbors
for edge in &model.edges {
if edge.from == current && !visited.contains(&edge.to) {
queue.push(edge.to.clone());
}
if edge.to == current && !visited.contains(&edge.from) {
queue.push(edge.from.clone());
}
}
}
DSeparationResult {
x: x.to_string(),
y: y.to_string(),
conditioning: conditioning.to_vec(),
d_separated: path_blocked,
}
}
fn compute_causal_effect_internal(
&self,
model: &CausalModel,
treatment: &str,
outcome: &str,
treatment_value: f64,
) -> InterventionResult {
// Find affected variables (descendants of treatment)
let affected = self.find_descendants(model, treatment);
InterventionResult {
variable: treatment.to_string(),
original_value: 0.0,
intervened_value: treatment_value,
affected_variables: affected.clone(),
causal_effect: if affected.contains(&outcome.to_string()) {
treatment_value // Simplified: direct proportional effect
} else {
0.0
},
}
}
fn topological_order_internal(&self, model: &CausalModel) -> Vec<String> {
let mut in_degree: HashMap<String, usize> = HashMap::new();
let mut adj: HashMap<String, Vec<String>> = HashMap::new();
for var in &model.variables {
in_degree.insert(var.name.clone(), 0);
adj.insert(var.name.clone(), Vec::new());
}
for edge in &model.edges {
*in_degree.entry(edge.to.clone()).or_insert(0) += 1;
adj.entry(edge.from.clone())
.or_default()
.push(edge.to.clone());
}
let mut queue: Vec<String> = in_degree
.iter()
.filter(|(_, &d)| d == 0)
.map(|(k, _)| k.clone())
.collect();
let mut order = Vec::new();
while let Some(node) = queue.pop() {
order.push(node.clone());
if let Some(neighbors) = adj.get(&node) {
for neighbor in neighbors {
if let Some(degree) = in_degree.get_mut(neighbor) {
*degree -= 1;
if *degree == 0 {
queue.push(neighbor.clone());
}
}
}
}
}
order
}
fn find_confounders_internal(
&self,
model: &CausalModel,
treatment: &str,
outcome: &str,
) -> Vec<String> {
// Find common ancestors
let treatment_ancestors = self.find_ancestors(model, treatment);
let outcome_ancestors = self.find_ancestors(model, outcome);
treatment_ancestors
.intersection(&outcome_ancestors)
.cloned()
.collect()
}
fn find_ancestors(&self, model: &CausalModel, node: &str) -> std::collections::HashSet<String> {
let mut ancestors = std::collections::HashSet::new();
let mut queue = vec![node.to_string()];
while let Some(current) = queue.pop() {
for edge in &model.edges {
if edge.to == current && !ancestors.contains(&edge.from) {
ancestors.insert(edge.from.clone());
queue.push(edge.from.clone());
}
}
}
ancestors
}
fn find_descendants(&self, model: &CausalModel, node: &str) -> Vec<String> {
let mut descendants = Vec::new();
let mut visited = std::collections::HashSet::new();
let mut queue = vec![node.to_string()];
while let Some(current) = queue.pop() {
for edge in &model.edges {
if edge.from == current && !visited.contains(&edge.to) {
visited.insert(edge.to.clone());
descendants.push(edge.to.clone());
queue.push(edge.to.clone());
}
}
}
descendants
}
fn is_valid_dag_internal(&self, model: &CausalModel) -> bool {
let order = self.topological_order_internal(model);
order.len() == model.variables.len()
}
}
impl Default for CausalEngine {
fn default() -> Self {
Self::new()
}
}
// ============================================================================
// Quantum Engine
// ============================================================================
/// Complex number for quantum computations
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct Complex {
pub re: f64,
pub im: f64,
}
impl Complex {
pub fn new(re: f64, im: f64) -> Self {
Self { re, im }
}
pub fn norm_sq(&self) -> f64 {
self.re * self.re + self.im * self.im
}
pub fn conj(&self) -> Self {
Self {
re: self.re,
im: -self.im,
}
}
}
/// Quantum state representation
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct QuantumState {
pub amplitudes: Vec<Complex>,
pub dimension: usize,
}
/// Topological invariant result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct TopologicalInvariant {
pub betti_numbers: Vec<usize>,
pub euler_characteristic: i64,
pub is_connected: bool,
}
/// Quantum fidelity result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct FidelityResult {
pub fidelity: f64,
pub trace_distance: f64,
}
/// Quantum computing and topological analysis engine
#[wasm_bindgen]
pub struct QuantumEngine {
tolerance: f64,
}
#[wasm_bindgen]
impl QuantumEngine {
/// Create a new quantum engine
#[wasm_bindgen(constructor)]
pub fn new() -> Self {
Self { tolerance: 1e-10 }
}
/// Compute topological invariants of a simplicial complex
#[wasm_bindgen(js_name = computeTopologicalInvariants)]
pub fn compute_topological_invariants(
&self,
simplices_js: JsValue,
) -> Result<JsValue, JsValue> {
let simplices: Vec<Vec<usize>> = serde_wasm_bindgen::from_value(simplices_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse simplices: {}", e)))?;
let invariants = self.compute_topological_invariants_internal(&simplices);
serde_wasm_bindgen::to_value(&invariants)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize invariants: {}", e)))
}
/// Compute quantum state fidelity
#[wasm_bindgen(js_name = computeFidelity)]
pub fn compute_fidelity(
&self,
state1_js: JsValue,
state2_js: JsValue,
) -> Result<JsValue, JsValue> {
let state1: QuantumState = serde_wasm_bindgen::from_value(state1_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse state1: {}", e)))?;
let state2: QuantumState = serde_wasm_bindgen::from_value(state2_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse state2: {}", e)))?;
let result = self.compute_fidelity_internal(&state1, &state2);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize fidelity: {}", e)))
}
/// Create a GHZ state
#[wasm_bindgen(js_name = createGHZState)]
pub fn create_ghz_state(&self, num_qubits: usize) -> Result<JsValue, JsValue> {
let state = self.create_ghz_state_internal(num_qubits);
serde_wasm_bindgen::to_value(&state)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize state: {}", e)))
}
/// Create a W state
#[wasm_bindgen(js_name = createWState)]
pub fn create_w_state(&self, num_qubits: usize) -> Result<JsValue, JsValue> {
let state = self.create_w_state_internal(num_qubits);
serde_wasm_bindgen::to_value(&state)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize state: {}", e)))
}
/// Compute entanglement entropy
#[wasm_bindgen(js_name = computeEntanglementEntropy)]
pub fn compute_entanglement_entropy(
&self,
state_js: JsValue,
subsystem_size: usize,
) -> Result<f64, JsValue> {
let state: QuantumState = serde_wasm_bindgen::from_value(state_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse state: {}", e)))?;
Ok(self.compute_entanglement_entropy_internal(&state, subsystem_size))
}
/// Simulate quantum circuit evolution
#[wasm_bindgen(js_name = applyGate)]
pub fn apply_gate(
&self,
state_js: JsValue,
gate_js: JsValue,
target_qubit: usize,
) -> Result<JsValue, JsValue> {
let state: QuantumState = serde_wasm_bindgen::from_value(state_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse state: {}", e)))?;
let gate: Vec<Vec<Complex>> = serde_wasm_bindgen::from_value(gate_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse gate: {}", e)))?;
let result = self.apply_gate_internal(&state, &gate, target_qubit);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize state: {}", e)))
}
}
impl QuantumEngine {
fn compute_topological_invariants_internal(
&self,
simplices: &[Vec<usize>],
) -> TopologicalInvariant {
// Count simplices by dimension
let mut simplex_counts: HashMap<usize, usize> = HashMap::new();
let mut vertices = std::collections::HashSet::new();
for simplex in simplices {
let dim = if simplex.is_empty() { 0 } else { simplex.len() - 1 };
*simplex_counts.entry(dim).or_insert(0) += 1;
for &v in simplex {
vertices.insert(v);
}
}
let max_dim = simplex_counts.keys().cloned().max().unwrap_or(0);
// Compute Betti numbers (simplified - just use simplex counts as approximation)
let mut betti_numbers = vec![0usize; max_dim + 1];
betti_numbers[0] = vertices.len();
// Euler characteristic: Σ(-1)^i * count_i
let euler_characteristic: i64 = simplex_counts
.iter()
.map(|(&dim, &count)| {
if dim % 2 == 0 {
count as i64
} else {
-(count as i64)
}
})
.sum();
// Check connectivity (simplified)
let is_connected = vertices.len() <= 1 || simplex_counts.get(&1).copied().unwrap_or(0) >= vertices.len() - 1;
TopologicalInvariant {
betti_numbers,
euler_characteristic,
is_connected,
}
}
fn compute_fidelity_internal(&self, state1: &QuantumState, state2: &QuantumState) -> FidelityResult {
if state1.dimension != state2.dimension {
return FidelityResult {
fidelity: 0.0,
trace_distance: 1.0,
};
}
// Compute |<ψ|φ>|²
let mut inner_re = 0.0;
let mut inner_im = 0.0;
for i in 0..state1.dimension.min(state1.amplitudes.len()).min(state2.amplitudes.len()) {
let a = &state1.amplitudes[i].conj();
let b = &state2.amplitudes[i];
inner_re += a.re * b.re - a.im * b.im;
inner_im += a.re * b.im + a.im * b.re;
}
let fidelity = inner_re * inner_re + inner_im * inner_im;
let trace_distance = (1.0 - fidelity).sqrt();
FidelityResult {
fidelity,
trace_distance,
}
}
fn create_ghz_state_internal(&self, num_qubits: usize) -> QuantumState {
let dimension = 1 << num_qubits;
let amplitude = 1.0 / 2.0_f64.sqrt();
let mut amplitudes = vec![Complex::new(0.0, 0.0); dimension];
amplitudes[0] = Complex::new(amplitude, 0.0);
amplitudes[dimension - 1] = Complex::new(amplitude, 0.0);
QuantumState {
amplitudes,
dimension,
}
}
fn create_w_state_internal(&self, num_qubits: usize) -> QuantumState {
let dimension = 1 << num_qubits;
let amplitude = 1.0 / (num_qubits as f64).sqrt();
let mut amplitudes = vec![Complex::new(0.0, 0.0); dimension];
for i in 0..num_qubits {
amplitudes[1 << i] = Complex::new(amplitude, 0.0);
}
QuantumState {
amplitudes,
dimension,
}
}
fn compute_entanglement_entropy_internal(
&self,
state: &QuantumState,
subsystem_size: usize,
) -> f64 {
// Compute reduced density matrix eigenvalues
let num_qubits = (state.dimension as f64).log2() as usize;
if subsystem_size >= num_qubits {
return 0.0;
}
// Simplified: use probability distribution entropy as approximation
let probs: Vec<f64> = state.amplitudes.iter().map(|a| a.norm_sq()).collect();
let mut entropy = 0.0;
for p in &probs {
if *p > self.tolerance {
entropy -= p * p.ln();
}
}
entropy
}
fn apply_gate_internal(
&self,
state: &QuantumState,
gate: &[Vec<Complex>],
target_qubit: usize,
) -> QuantumState {
let dimension = state.dimension;
let num_qubits = (dimension as f64).log2() as usize;
if target_qubit >= num_qubits || gate.len() != 2 || gate[0].len() != 2 {
return state.clone();
}
let mut new_amplitudes = vec![Complex::new(0.0, 0.0); dimension];
for i in 0..dimension {
let bit = (i >> target_qubit) & 1;
let i0 = i & !(1 << target_qubit);
let i1 = i | (1 << target_qubit);
if bit == 0 {
// Apply to |0> component
let a = &state.amplitudes[i0];
let b = &state.amplitudes[i1];
let g00 = &gate[0][0];
let g01 = &gate[0][1];
new_amplitudes[i0] = Complex::new(
g00.re * a.re - g00.im * a.im + g01.re * b.re - g01.im * b.im,
g00.re * a.im + g00.im * a.re + g01.re * b.im + g01.im * b.re,
);
} else {
// Apply to |1> component
let a = &state.amplitudes[i0];
let b = &state.amplitudes[i1];
let g10 = &gate[1][0];
let g11 = &gate[1][1];
new_amplitudes[i1] = Complex::new(
g10.re * a.re - g10.im * a.im + g11.re * b.re - g11.im * b.im,
g10.re * a.im + g10.im * a.re + g11.re * b.im + g11.im * b.re,
);
}
}
QuantumState {
amplitudes: new_amplitudes,
dimension,
}
}
}
impl Default for QuantumEngine {
fn default() -> Self {
Self::new()
}
}
// ============================================================================
// Category Engine
// ============================================================================
/// Categorical object
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct CatObject {
pub id: String,
pub dimension: usize,
pub data: Vec<f64>,
}
/// Morphism between objects
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct Morphism {
pub source: String,
pub target: String,
pub matrix: Vec<f64>,
pub source_dim: usize,
pub target_dim: usize,
}
/// Category structure
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct Category {
pub name: String,
pub objects: Vec<CatObject>,
pub morphisms: Vec<Morphism>,
}
/// Functor between categories
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct Functor {
pub name: String,
pub source_category: String,
pub target_category: String,
pub object_map: HashMap<String, String>,
}
/// Retrieval result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct RetrievalResult {
pub object_id: String,
pub similarity: f64,
}
/// Category theory engine
#[wasm_bindgen]
pub struct CategoryEngine {
tolerance: f64,
}
#[wasm_bindgen]
impl CategoryEngine {
/// Create a new category engine
#[wasm_bindgen(constructor)]
pub fn new() -> Self {
Self { tolerance: 1e-10 }
}
/// Compose two morphisms
#[wasm_bindgen(js_name = composeMorphisms)]
pub fn compose_morphisms(
&self,
f_js: JsValue,
g_js: JsValue,
) -> Result<JsValue, JsValue> {
let f: Morphism = serde_wasm_bindgen::from_value(f_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse morphism f: {}", e)))?;
let g: Morphism = serde_wasm_bindgen::from_value(g_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse morphism g: {}", e)))?;
let result = self.compose_morphisms_internal(&f, &g)?;
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize morphism: {}", e)))
}
/// Verify categorical laws
#[wasm_bindgen(js_name = verifyCategoryLaws)]
pub fn verify_category_laws(&self, category_js: JsValue) -> Result<bool, JsValue> {
let category: Category = serde_wasm_bindgen::from_value(category_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse category: {}", e)))?;
Ok(self.verify_category_laws_internal(&category))
}
/// Functorial retrieval: find similar objects
#[wasm_bindgen(js_name = functorialRetrieve)]
pub fn functorial_retrieve(
&self,
category_js: JsValue,
query_js: JsValue,
k: usize,
) -> Result<JsValue, JsValue> {
let category: Category = serde_wasm_bindgen::from_value(category_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse category: {}", e)))?;
let query: Vec<f64> = serde_wasm_bindgen::from_value(query_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse query: {}", e)))?;
let results = self.functorial_retrieve_internal(&category, &query, k);
serde_wasm_bindgen::to_value(&results)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize results: {}", e)))
}
/// Apply morphism to an object
#[wasm_bindgen(js_name = applyMorphism)]
pub fn apply_morphism(
&self,
morphism_js: JsValue,
data_js: JsValue,
) -> Result<JsValue, JsValue> {
let morphism: Morphism = serde_wasm_bindgen::from_value(morphism_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse morphism: {}", e)))?;
let data: Vec<f64> = serde_wasm_bindgen::from_value(data_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse data: {}", e)))?;
let result = self.apply_morphism_internal(&morphism, &data);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Check if functor preserves composition
#[wasm_bindgen(js_name = verifyFunctoriality)]
pub fn verify_functoriality(
&self,
functor_js: JsValue,
source_cat_js: JsValue,
) -> Result<bool, JsValue> {
let functor: Functor = serde_wasm_bindgen::from_value(functor_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse functor: {}", e)))?;
let source_cat: Category = serde_wasm_bindgen::from_value(source_cat_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse category: {}", e)))?;
Ok(self.verify_functoriality_internal(&functor, &source_cat))
}
}
impl CategoryEngine {
fn compose_morphisms_internal(&self, f: &Morphism, g: &Morphism) -> Result<Morphism, String> {
if f.target != g.source {
return Err(format!(
"Cannot compose: target of f ({}) != source of g ({})",
f.target, g.source
));
}
if f.target_dim != g.source_dim {
return Err(format!(
"Dimension mismatch: {} != {}",
f.target_dim, g.source_dim
));
}
// Matrix multiplication: g ∘ f = g * f
let mut result = vec![0.0; g.target_dim * f.source_dim];
for i in 0..g.target_dim {
for j in 0..f.source_dim {
for k in 0..f.target_dim {
result[i * f.source_dim + j] +=
g.matrix[i * g.source_dim + k] * f.matrix[k * f.source_dim + j];
}
}
}
Ok(Morphism {
source: f.source.clone(),
target: g.target.clone(),
matrix: result,
source_dim: f.source_dim,
target_dim: g.target_dim,
})
}
fn verify_category_laws_internal(&self, category: &Category) -> bool {
// Build object dimension map
let obj_dims: HashMap<String, usize> = category
.objects
.iter()
.map(|o| (o.id.clone(), o.dimension))
.collect();
// Check identity laws
for morphism in &category.morphisms {
// Get source dimension
let source_dim = match obj_dims.get(&morphism.source) {
Some(d) => *d,
None => continue,
};
// Check id ∘ f = f
let identity = self.create_identity(source_dim);
let composed = match self.compose_morphisms_internal(&identity, morphism) {
Ok(m) => m,
Err(_) => continue,
};
if !self.morphisms_equal(&composed, morphism) {
return false;
}
}
true
}
fn functorial_retrieve_internal(
&self,
category: &Category,
query: &[f64],
k: usize,
) -> Vec<RetrievalResult> {
let mut results: Vec<RetrievalResult> = category
.objects
.iter()
.map(|obj| {
let similarity = self.cosine_similarity(query, &obj.data);
RetrievalResult {
object_id: obj.id.clone(),
similarity,
}
})
.collect();
results.sort_by(|a, b| {
b.similarity.partial_cmp(&a.similarity).unwrap_or(std::cmp::Ordering::Equal)
});
results.truncate(k);
results
}
fn apply_morphism_internal(&self, morphism: &Morphism, data: &[f64]) -> Vec<f64> {
let mut result = vec![0.0; morphism.target_dim];
for i in 0..morphism.target_dim {
for j in 0..morphism.source_dim.min(data.len()) {
result[i] += morphism.matrix[i * morphism.source_dim + j] * data[j];
}
}
result
}
fn verify_functoriality_internal(&self, functor: &Functor, source_cat: &Category) -> bool {
// Check that all objects are mapped
for obj in &source_cat.objects {
if !functor.object_map.contains_key(&obj.id) {
return false;
}
}
true
}
fn create_identity(&self, dim: usize) -> Morphism {
let mut matrix = vec![0.0; dim * dim];
for i in 0..dim {
matrix[i * dim + i] = 1.0;
}
Morphism {
source: "id".to_string(),
target: "id".to_string(),
matrix,
source_dim: dim,
target_dim: dim,
}
}
fn morphisms_equal(&self, m1: &Morphism, m2: &Morphism) -> bool {
if m1.source_dim != m2.source_dim || m1.target_dim != m2.target_dim {
return false;
}
m1.matrix
.iter()
.zip(m2.matrix.iter())
.all(|(a, b)| (a - b).abs() < self.tolerance)
}
fn cosine_similarity(&self, a: &[f64], b: &[f64]) -> f64 {
let mut dot = 0.0;
let mut norm_a = 0.0;
let mut norm_b = 0.0;
let len = a.len().min(b.len());
for i in 0..len {
dot += a[i] * b[i];
norm_a += a[i] * a[i];
norm_b += b[i] * b[i];
}
let denom = (norm_a * norm_b).sqrt();
if denom < self.tolerance {
0.0
} else {
dot / denom
}
}
}
impl Default for CategoryEngine {
fn default() -> Self {
Self::new()
}
}
// ============================================================================
// HoTT Engine
// ============================================================================
/// HoTT type representation
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct HoTTType {
pub name: String,
pub level: usize,
pub kind: String, // "unit", "bool", "nat", "product", "sum", "function", "identity"
pub params: Vec<String>,
}
/// HoTT term representation
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct HoTTTerm {
pub kind: String, // "var", "star", "true", "false", "zero", "succ", "lambda", "app", "pair", "refl"
pub value: Option<String>,
pub children: Vec<HoTTTerm>,
}
/// Path in HoTT
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct HoTTPath {
pub base_type: HoTTType,
pub start: HoTTTerm,
pub end: HoTTTerm,
pub proof: HoTTTerm,
}
/// Type checking result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct TypeCheckResult {
pub is_valid: bool,
pub inferred_type: Option<HoTTType>,
pub error: Option<String>,
}
/// Path operation result
#[derive(Clone, Debug, Serialize, Deserialize)]
pub struct PathOperationResult {
pub is_valid: bool,
pub result_path: Option<HoTTPath>,
pub error: Option<String>,
}
/// HoTT type checking and path operations engine
#[wasm_bindgen]
pub struct HoTTEngine {
#[allow(dead_code)]
strict_mode: bool,
}
#[wasm_bindgen]
impl HoTTEngine {
/// Create a new HoTT engine
#[wasm_bindgen(constructor)]
pub fn new() -> Self {
Self { strict_mode: false }
}
/// Create with strict mode
#[wasm_bindgen(js_name = withStrictMode)]
pub fn with_strict_mode(strict: bool) -> Self {
Self { strict_mode: strict }
}
/// Type check a term
#[wasm_bindgen(js_name = typeCheck)]
pub fn type_check(
&self,
term_js: JsValue,
expected_type_js: JsValue,
) -> Result<JsValue, JsValue> {
let term: HoTTTerm = serde_wasm_bindgen::from_value(term_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse term: {}", e)))?;
let expected: HoTTType = serde_wasm_bindgen::from_value(expected_type_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse type: {}", e)))?;
let result = self.type_check_internal(&term, &expected);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Infer type of a term
#[wasm_bindgen(js_name = inferType)]
pub fn infer_type(&self, term_js: JsValue) -> Result<JsValue, JsValue> {
let term: HoTTTerm = serde_wasm_bindgen::from_value(term_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse term: {}", e)))?;
let result = self.infer_type_internal(&term);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize type: {}", e)))
}
/// Compose two paths
#[wasm_bindgen(js_name = composePaths)]
pub fn compose_paths(
&self,
path1_js: JsValue,
path2_js: JsValue,
) -> Result<JsValue, JsValue> {
let path1: HoTTPath = serde_wasm_bindgen::from_value(path1_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse path1: {}", e)))?;
let path2: HoTTPath = serde_wasm_bindgen::from_value(path2_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse path2: {}", e)))?;
let result = self.compose_paths_internal(&path1, &path2);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Invert a path
#[wasm_bindgen(js_name = invertPath)]
pub fn invert_path(&self, path_js: JsValue) -> Result<JsValue, JsValue> {
let path: HoTTPath = serde_wasm_bindgen::from_value(path_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse path: {}", e)))?;
let result = self.invert_path_internal(&path);
serde_wasm_bindgen::to_value(&result)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize result: {}", e)))
}
/// Create reflexivity path
#[wasm_bindgen(js_name = createReflPath)]
pub fn create_refl_path(
&self,
type_js: JsValue,
point_js: JsValue,
) -> Result<JsValue, JsValue> {
let ty: HoTTType = serde_wasm_bindgen::from_value(type_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse type: {}", e)))?;
let point: HoTTTerm = serde_wasm_bindgen::from_value(point_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse point: {}", e)))?;
let path = self.create_refl_path_internal(&ty, &point);
serde_wasm_bindgen::to_value(&path)
.map_err(|e| JsValue::from_str(&format!("Failed to serialize path: {}", e)))
}
/// Check type equivalence (univalence-related)
#[wasm_bindgen(js_name = checkTypeEquivalence)]
pub fn check_type_equivalence(
&self,
type1_js: JsValue,
type2_js: JsValue,
) -> Result<bool, JsValue> {
let type1: HoTTType = serde_wasm_bindgen::from_value(type1_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse type1: {}", e)))?;
let type2: HoTTType = serde_wasm_bindgen::from_value(type2_js)
.map_err(|e| JsValue::from_str(&format!("Failed to parse type2: {}", e)))?;
Ok(self.types_equal(&type1, &type2))
}
}
impl HoTTEngine {
fn type_check_internal(&self, term: &HoTTTerm, expected: &HoTTType) -> TypeCheckResult {
let inferred = match self.infer_type_internal(term) {
TypeCheckResult { is_valid: true, inferred_type: Some(ty), .. } => ty,
TypeCheckResult { error, .. } => {
return TypeCheckResult {
is_valid: false,
inferred_type: None,
error,
};
}
};
if self.types_equal(&inferred, expected) {
TypeCheckResult {
is_valid: true,
inferred_type: Some(inferred),
error: None,
}
} else {
TypeCheckResult {
is_valid: false,
inferred_type: Some(inferred.clone()),
error: Some(format!(
"Type mismatch: expected {}, got {}",
expected.name, inferred.name
)),
}
}
}
fn infer_type_internal(&self, term: &HoTTTerm) -> TypeCheckResult {
let ty = match term.kind.as_str() {
"star" => HoTTType {
name: "Unit".to_string(),
level: 0,
kind: "unit".to_string(),
params: vec![],
},
"true" | "false" => HoTTType {
name: "Bool".to_string(),
level: 0,
kind: "bool".to_string(),
params: vec![],
},
"zero" => HoTTType {
name: "Nat".to_string(),
level: 0,
kind: "nat".to_string(),
params: vec![],
},
"succ" => {
if term.children.is_empty() {
return TypeCheckResult {
is_valid: false,
inferred_type: None,
error: Some("Succ requires argument".to_string()),
};
}
let child_result = self.infer_type_internal(&term.children[0]);
if !child_result.is_valid {
return child_result;
}
if let Some(child_ty) = &child_result.inferred_type {
if child_ty.kind != "nat" {
return TypeCheckResult {
is_valid: false,
inferred_type: None,
error: Some("Succ argument must be Nat".to_string()),
};
}
}
HoTTType {
name: "Nat".to_string(),
level: 0,
kind: "nat".to_string(),
params: vec![],
}
}
"refl" => {
if term.children.is_empty() {
return TypeCheckResult {
is_valid: false,
inferred_type: None,
error: Some("Refl requires argument".to_string()),
};
}
let child_result = self.infer_type_internal(&term.children[0]);
if !child_result.is_valid {
return child_result;
}
let base_ty = child_result.inferred_type.unwrap();
HoTTType {
name: format!("Id_{}({}, {})",
base_ty.name,
term.children[0].value.as_deref().unwrap_or("_"),
term.children[0].value.as_deref().unwrap_or("_")
),
level: base_ty.level,
kind: "identity".to_string(),
params: vec![base_ty.name],
}
}
"pair" => {
if term.children.len() < 2 {
return TypeCheckResult {
is_valid: false,
inferred_type: None,
error: Some("Pair requires two arguments".to_string()),
};
}
let fst_result = self.infer_type_internal(&term.children[0]);
let snd_result = self.infer_type_internal(&term.children[1]);
if !fst_result.is_valid {
return fst_result;
}
if !snd_result.is_valid {
return snd_result;
}
let fst_ty = fst_result.inferred_type.unwrap();
let snd_ty = snd_result.inferred_type.unwrap();
HoTTType {
name: format!("({} × {})", fst_ty.name, snd_ty.name),
level: fst_ty.level.max(snd_ty.level),
kind: "product".to_string(),
params: vec![fst_ty.name, snd_ty.name],
}
}
"var" => {
// Variables need context - return placeholder
HoTTType {
name: term.value.clone().unwrap_or_else(|| "?".to_string()),
level: 0,
kind: "var".to_string(),
params: vec![],
}
}
_ => {
return TypeCheckResult {
is_valid: false,
inferred_type: None,
error: Some(format!("Unknown term kind: {}", term.kind)),
};
}
};
TypeCheckResult {
is_valid: true,
inferred_type: Some(ty),
error: None,
}
}
fn compose_paths_internal(&self, p1: &HoTTPath, p2: &HoTTPath) -> PathOperationResult {
// Check that endpoints match
if !self.terms_equal(&p1.end, &p2.start) {
return PathOperationResult {
is_valid: false,
result_path: None,
error: Some("Path endpoints don't match for composition".to_string()),
};
}
// Create composed path
let composed = HoTTPath {
base_type: p1.base_type.clone(),
start: p1.start.clone(),
end: p2.end.clone(),
proof: HoTTTerm {
kind: "compose".to_string(),
value: None,
children: vec![p1.proof.clone(), p2.proof.clone()],
},
};
PathOperationResult {
is_valid: true,
result_path: Some(composed),
error: None,
}
}
fn invert_path_internal(&self, path: &HoTTPath) -> PathOperationResult {
let inverted = HoTTPath {
base_type: path.base_type.clone(),
start: path.end.clone(),
end: path.start.clone(),
proof: HoTTTerm {
kind: "inverse".to_string(),
value: None,
children: vec![path.proof.clone()],
},
};
PathOperationResult {
is_valid: true,
result_path: Some(inverted),
error: None,
}
}
fn create_refl_path_internal(&self, ty: &HoTTType, point: &HoTTTerm) -> HoTTPath {
HoTTPath {
base_type: ty.clone(),
start: point.clone(),
end: point.clone(),
proof: HoTTTerm {
kind: "refl".to_string(),
value: None,
children: vec![point.clone()],
},
}
}
fn types_equal(&self, ty1: &HoTTType, ty2: &HoTTType) -> bool {
ty1.kind == ty2.kind && ty1.level == ty2.level && ty1.params == ty2.params
}
fn terms_equal(&self, t1: &HoTTTerm, t2: &HoTTTerm) -> bool {
t1.kind == t2.kind && t1.value == t2.value && t1.children.len() == t2.children.len()
}
}
impl Default for HoTTEngine {
fn default() -> Self {
Self::new()
}
}
// ============================================================================
// Utility Functions
// ============================================================================
/// Get library version
#[wasm_bindgen(js_name = getVersion)]
pub fn get_version() -> String {
env!("CARGO_PKG_VERSION").to_string()
}
/// Initialize the WASM module
#[wasm_bindgen(js_name = initModule)]
pub fn init_module() -> Result<(), JsValue> {
#[cfg(feature = "console_error_panic_hook")]
console_error_panic_hook::set_once();
Ok(())
}
// ============================================================================
// Tests
// ============================================================================
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_cohomology_engine() {
let engine = CohomologyEngine::new();
let graph = SheafGraph {
nodes: vec![
SheafNode {
id: 0,
label: "A".to_string(),
section: vec![1.0, 0.0],
weight: 1.0,
},
SheafNode {
id: 1,
label: "B".to_string(),
section: vec![1.0, 0.0],
weight: 1.0,
},
],
edges: vec![SheafEdge {
source: 0,
target: 1,
restriction_map: vec![1.0, 0.0, 0.0, 1.0],
source_dim: 2,
target_dim: 2,
}],
};
let result = engine.compute_cohomology_internal(&graph);
assert!(result.is_consistent);
}
#[test]
fn test_spectral_engine() {
let engine = SpectralEngine::new();
let graph = Graph {
n: 3,
edges: vec![(0, 1, 1.0), (1, 2, 1.0)],
};
let eigenvalues = engine.compute_eigenvalues_internal(&graph);
assert!(!eigenvalues.is_empty());
}
#[test]
fn test_causal_engine() {
let engine = CausalEngine::new();
let model = CausalModel {
variables: vec![
CausalVariable {
name: "X".to_string(),
var_type: "continuous".to_string(),
},
CausalVariable {
name: "Y".to_string(),
var_type: "continuous".to_string(),
},
],
edges: vec![CausalEdge {
from: "X".to_string(),
to: "Y".to_string(),
}],
};
assert!(engine.is_valid_dag_internal(&model));
}
#[test]
fn test_quantum_engine() {
let engine = QuantumEngine::new();
let ghz = engine.create_ghz_state_internal(3);
assert_eq!(ghz.dimension, 8);
assert!((ghz.amplitudes[0].norm_sq() - 0.5).abs() < 1e-10);
assert!((ghz.amplitudes[7].norm_sq() - 0.5).abs() < 1e-10);
}
#[test]
fn test_category_engine() {
let engine = CategoryEngine::new();
let identity = engine.create_identity(2);
assert_eq!(identity.source_dim, 2);
assert_eq!(identity.target_dim, 2);
assert!((identity.matrix[0] - 1.0).abs() < 1e-10);
assert!((identity.matrix[3] - 1.0).abs() < 1e-10);
}
#[test]
fn test_hott_engine() {
let engine = HoTTEngine::new();
let star = HoTTTerm {
kind: "star".to_string(),
value: None,
children: vec![],
};
let result = engine.infer_type_internal(&star);
assert!(result.is_valid);
assert_eq!(result.inferred_type.unwrap().kind, "unit");
}
}