meta-log-db/src/browser/r5rs/browser-registry.ts

Native database package for Meta-Log (ProLog, DataLog, R5RS)

/**
 * Browser R5RS Registry
 * 
 * Browser-specific R5RS registry using BrowserFileIO instead of Node.js fs
 */

import { BrowserFileIO } from '../io.js';
import { R5RSParser, SchemeExpression } from '../../r5rs/parser.js';
import { decryptFileContent } from '../crypto/storage-encryption.js';
import { HomologyValidator } from '../../extensions/homology/validator.js';
import { MetaLogNodeManager, CreateNodeOptions } from '../../extensions/metalog-node/index.js';
import { ProjectiveAffineConverter } from '../../extensions/geometry/index.js';
import { DAGManager } from '../../extensions/dag/index.js';
import * as OrgModeFunctions from '../../extensions/org-mode/r5rs-functions.js';

export interface BrowserR5RSRegistryConfig {
  enableEncryption?: boolean;
  mnemonic?: string;
  encryptionPurpose?: 'local' | 'published' | 'contributor' | 'ephemeral';
  fileIO?: BrowserFileIO;
}

/**
 * Browser R5RS Function Registry
 */
export class BrowserR5RSRegistry {
  private functions: Map<string, Function> = new Map();
  private enginePath?: string;
  private parsedExpressions: SchemeExpression[] = [];
  private fileIO: BrowserFileIO;
  private enableEncryption: boolean;
  private mnemonic?: string;
  private encryptionPurpose: 'local' | 'published' | 'contributor' | 'ephemeral';

  constructor(config: BrowserR5RSRegistryConfig = {}) {
    this.fileIO = config.fileIO || new BrowserFileIO();
    this.enableEncryption = config.enableEncryption || false;
    this.mnemonic = config.mnemonic;
    this.encryptionPurpose = config.encryptionPurpose || 'local';
  }

  /**
   * Initialize file I/O
   */
  async init(): Promise<void> {
    await this.fileIO.init();
  }

  /**
   * Load R5RS engine from URL or IndexedDB
   */
  async load(path: string, url?: string): Promise<void> {
    this.enginePath = path;
    
    try {
      // Try to load Scheme file
      let content: string;

      try {
        content = await this.fileIO.loadFile(path, url);

        // Decrypt if encryption is enabled
        if (this.enableEncryption && this.mnemonic) {
          try {
            content = await decryptFileContent(content, this.mnemonic, this.encryptionPurpose);
          } catch (error) {
            // If decryption fails, assume content is not encrypted
            console.warn('Decryption failed, assuming unencrypted content:', error);
          }
        }
      } catch (error) {
        console.warn('Failed to load Scheme file, using builtins only:', error);
        this.registerBuiltins();
        return;
      }

      // Parse Scheme content
      this.parsedExpressions = R5RSParser.parse(content);
      
      // Extract and register functions
      const functionDefs = R5RSParser.extractFunctions(this.parsedExpressions);
      for (const [name, def] of functionDefs.entries()) {
        // Convert Scheme function definition to JavaScript function
        // This is simplified - full implementation would need an evaluator
        this.registerFromScheme(name, def);
      }
    } catch (error) {
      console.warn('Failed to parse Scheme file, using builtins only:', error);
    }
    
    // Always register builtins
    this.registerBuiltins();
  }

  /**
   * Register function from Scheme definition
   */
  private registerFromScheme(name: string, definition: SchemeExpression): void {
    // Simplified registration - full implementation would evaluate Scheme code
    // For now, we just store the definition for potential future evaluation
    console.log(`Parsed Scheme function: ${name}`);
    
    // In a full implementation, this would:
    // 1. Convert Scheme lambda to JavaScript function
    // 2. Handle closures and lexical scoping
    // 3. Support tail call optimization
    // For now, we rely on builtins
  }

  /**
   * Register built-in R5RS functions
   */
  private registerBuiltins(): void {
    // Church encoding functions
    this.register('r5rs:church-zero', () => (f: any) => (x: any) => x);
    this.register('r5rs:church-succ', (n: any) => (f: any) => (x: any) => f(n(f)(x)));
    this.register('r5rs:church-add', (m: any, n: any) => (f: any) => (x: any) => m(f)(n(f)(x)));
    this.register('r5rs:church-mult', (m: any, n: any) => (f: any) => m(n(f)));
    this.register('r5rs:church-exp', (m: any, n: any) => n(m));

    // Y-combinator
    this.register('r5rs:y-combinator', (f: any) => {
      const Y = (g: any) => g((x: any) => Y(g)(x));
      return Y(f);
    });

    // Basic list operations
    this.register('r5rs:cons', (a: any, b: any) => [a, b]);
    this.register('r5rs:car', (pair: any[]) => pair[0]);
    this.register('r5rs:cdr', (pair: any[]) => pair[1]);
    this.register('r5rs:null?', (x: any) => x === null || x === undefined || (Array.isArray(x) && x.length === 0));

    // Bipartite-BQF functions
    this.registerBipartiteBQFFunctions();
    
    // Polynomial operations
    this.registerPolynomialFunctions();
    
    // Polyhedra functions
    this.registerPolyhedraFunctions();
    
    // Categorical functions
    this.registerCategoricalFunctions();
    
    // Homology functions
    this.registerHomologyFunctions();
    
    // MetaLogNode functions
    this.registerMetaLogNodeFunctions();
    
    // Geometry functions
    this.registerGeometryFunctions();
    
    // DAG functions
    this.registerDAGFunctions();
    
    // Org Mode functions
    this.registerOrgModeFunctions();
  }

  /**
   * Register Bipartite-BQF R5RS functions
   */
  private registerBipartiteBQFFunctions(): void {
    /**
     * Evaluate BQF at point
     * r5rs:bqf-eval(bqf, values)
     * bqf: {form: string, coefficients?: number[], variables?: string[]}
     * values: number[] - values for variables in order
     */
    this.register('r5rs:bqf-eval', (bqf: any, values: number[] = []) => {
      if (!bqf || !bqf.form) {
        throw new Error('BQF form is required');
      }

      // Parse BQF form: Q(x,y) = ax² + bxy + cy²
      // For now, use coefficients if provided, otherwise parse from form
      if (bqf.coefficients && bqf.coefficients.length >= 3) {
        const [a, b, c] = bqf.coefficients;
        
        if (values.length === 0) {
          return 0; // 0D case
        } else if (values.length === 1) {
          // 1D: Q(x) = ax²
          const x = values[0];
          return a * x * x;
        } else if (values.length === 2) {
          // 2D: Q(x,y) = ax² + bxy + cy²
          const [x, y] = values;
          return a * x * x + b * x * y + c * y * y;
        } else {
          // Higher dimensions: extend formula
          // For diagonal BQF (b=0): Q(x₁,...,xₙ) = Σᵢ aᵢxᵢ²
          let result = 0;
          for (let i = 0; i < values.length; i++) {
            const coeff = i < bqf.coefficients.length ? bqf.coefficients[i] : 0;
            result += coeff * values[i] * values[i];
          }
          return result;
        }
      }

      // Fallback: try to parse form string (simplified)
      // This is a basic implementation - full parser would be more complex
      throw new Error('BQF evaluation requires coefficients array');
    });

    /**
     * Transform BQF
     * r5rs:bqf-transform(bqf, transformation)
     * transformation: string describing transformation (e.g., "tan(Point0D)")
     */
    this.register('r5rs:bqf-transform', (bqf: any, transformation: string) => {
      if (!bqf || !bqf.form) {
        throw new Error('BQF form is required');
      }

      // For now, return transformed BQF structure
      // Full implementation would parse transformation and apply it
      return {
        ...bqf,
        transformation,
        transformed: true
      };
    });

    /**
     * Convert polynomial to BQF
     * r5rs:poly-to-bqf(polynomial)
     * polynomial: {monad: number[], functor: number[], perceptron: number[]}
     */
    this.register('r5rs:poly-to-bqf', (polynomial: any) => {
      if (!polynomial) {
        throw new Error('Polynomial is required');
      }

      // Extract dimension from polynomial (use monad as primary)
      const monad = polynomial.monad || [];
      const dimension = monad.length;

      // Generate BQF form based on dimension
      let form = '';
      let coefficients: number[] = [];
      let variables: string[] = [];

      if (dimension === 0) {
        form = 'Q() = 0';
        coefficients = [0];
        variables = [];
      } else if (dimension === 1) {
        form = 'Q(x) = x²';
        coefficients = [1, 0, 0];
        variables = ['x'];
      } else if (dimension === 2) {
        form = 'Q(x,y) = x² + y²';
        coefficients = [1, 0, 1];
        variables = ['x', 'y'];
      } else {
        // Higher dimensions
        const varNames = ['x', 'y', 'z', 't', 'w', 'u', 'v', 's'].slice(0, dimension);
        form = `Q(${varNames.join(',')}) = ${varNames.map(v => `${v}²`).join(' + ')}`;
        coefficients = Array(dimension).fill(1);
        variables = varNames;
      }

      return {
        form,
        coefficients,
        signature: 'euclidean',
        variables,
        polynomial: polynomial
      };
    });

    /**
     * Convert BQF to R5RS procedure
     * r5rs:bqf-to-procedure(bqf)
     * Returns Scheme lambda expression as string
     */
    this.register('r5rs:bqf-to-procedure', (bqf: any) => {
      if (!bqf || !bqf.form) {
        throw new Error('BQF form is required');
      }

      // If procedure already exists, return it
      if (bqf.procedure) {
        return bqf.procedure;
      }

      // Generate procedure from BQF
      const variables = bqf.variables || [];
      const coefficients = bqf.coefficients || [];

      if (variables.length === 0) {
        return "(lambda () 'vacuum)";
      }

      // Generate Scheme expression for BQF evaluation
      const varList = variables.join(' ');
      let body = '';

      if (variables.length === 1) {
        // Q(x) = ax²
        const a = coefficients[0] || 1;
        body = `(* ${a} (* ${variables[0]} ${variables[0]}))`;
      } else if (variables.length === 2) {
        // Q(x,y) = ax² + bxy + cy²
        const [a, b, c] = [coefficients[0] || 1, coefficients[1] || 0, coefficients[2] || 1];
        const x = variables[0];
        const y = variables[1];
        body = `(+ (* ${a} (* ${x} ${x})) (+ (* ${b} (* ${x} ${y})) (* ${c} (* ${y} ${y}))))`;
      } else {
        // Higher dimensions: sum of squares
        const terms = variables.map((v: string, i: number) => {
          const coeff = coefficients[i] || 1;
          return `(* ${coeff} (* ${v} ${v}))`;
        });
        body = terms.reduce((acc: string, term: string) => acc ? `(+ ${acc} ${term})` : term, '');
      }

      return `(lambda (${varList}) ${body})`;
    });
  }

  /**
   * Register polynomial operation R5RS functions
   */
  private registerPolynomialFunctions(): void {
    /**
     * Polynomial addition (component-wise)
     * r5rs:poly-add(v1, v2)
     */
    this.register('r5rs:poly-add', (v1: number[], v2: number[]) => {
      if (!Array.isArray(v1) || !Array.isArray(v2)) {
        throw new Error('Both arguments must be arrays');
      }
      const maxLen = Math.max(v1.length, v2.length);
      const result: number[] = [];
      for (let i = 0; i < maxLen; i++) {
        result[i] = (v1[i] || 0) + (v2[i] || 0);
      }
      return result;
    });

    /**
     * Polynomial multiplication
     * r5rs:poly-mult(v1, v2)
     */
    this.register('r5rs:poly-mult', (v1: number[], v2: number[]) => {
      if (!Array.isArray(v1) || !Array.isArray(v2)) {
        throw new Error('Both arguments must be arrays');
      }
      // Polynomial multiplication: convolve coefficients
      const result: number[] = Array(v1.length + v2.length - 1).fill(0);
      for (let i = 0; i < v1.length; i++) {
        for (let j = 0; j < v2.length; j++) {
          result[i + j] += v1[i] * v2[j];
        }
      }
      return result;
    });

    /**
     * Polynomial composition
     * r5rs:poly-compose(p1, p2)
     */
    this.register('r5rs:poly-compose', (p1: number[], p2: number[]) => {
      if (!Array.isArray(p1) || !Array.isArray(p2)) {
        throw new Error('Both arguments must be arrays');
      }
      // Compose polynomials: p1(p2(x))
      // This is simplified - full implementation would handle all degrees
      const polyMult = (v1: number[], v2: number[]) => {
        const result: number[] = Array(v1.length + v2.length - 1).fill(0);
        for (let i = 0; i < v1.length; i++) {
          for (let j = 0; j < v2.length; j++) {
            result[i + j] += v1[i] * v2[j];
          }
        }
        return result;
      };
      const polyAdd = (v1: number[], v2: number[]) => {
        const maxLen = Math.max(v1.length, v2.length);
        const result: number[] = [];
        for (let i = 0; i < maxLen; i++) {
          result[i] = (v1[i] || 0) + (v2[i] || 0);
        }
        return result;
      };
      
      let result: number[] = [];
      for (let i = 0; i < p1.length; i++) {
        if (p1[i] !== 0) {
          // Multiply p2 by itself i times and scale by p1[i]
          let composed = [p1[i]];
          for (let j = 0; j < i; j++) {
            composed = polyMult(composed, p2);
          }
          result = polyAdd(result, composed);
        }
      }
      return result;
    });

    /**
     * Evaluate polynomial at point
     * r5rs:poly-eval(p, x)
     */
    this.register('r5rs:poly-eval', (p: number[], x: number) => {
      if (!Array.isArray(p)) {
        throw new Error('First argument must be an array');
      }
      if (typeof x !== 'number') {
        throw new Error('Second argument must be a number');
      }
      // Horner's method for polynomial evaluation
      let result = 0;
      for (let i = p.length - 1; i >= 0; i--) {
        result = result * x + (p[i] || 0);
      }
      return result;
    });
  }

  /**
   * Register Polyhedra R5RS functions
   * Maps R5RS types to polyhedra geometry (cube vertices, polyhedra, BQF)
   * Source: docs/32-Regulay-Polyhedra-Geometry/04-COMPUTATIONAL-MAPPING.md
   */
  private registerPolyhedraFunctions(): void {
    /**
     * Get type dimension (0D-7D mapping)
     * Helper function for type-to-polyhedron
     */
    const typeDimension = (type: string): number => {
      const dims: Record<string, number> = {
        'boolean': 0,   // 0D: Identity
        'char': 1,      // 1D: Successor
        'number': 2,    // 2D: Pairing
        'pair': 3,      // 3D: Algebra
        'string': 4,    // 4D: Network
        'vector': 5,    // 5D: Consensus
        'procedure': 6  // 6D: Intelligence
      };
      return dims[type] ?? 7; // 7D: Quantum (default)
    };

    /**
     * Map R5RS type to cube vertex index (0-7)
     * r5rs:type-to-cube-vertex(type)
     * Returns vertex index or -1 for invalid type
     */
    this.register('r5rs:type-to-cube-vertex', (type: string) => {
      const mapping: Record<string, number> = {
        'boolean': 0,   // Vertex 0: Boolean
        'pair': 1,      // Vertex 1: Pair
        'symbol': 2,    // Vertex 2: Symbol
        'number': 3,    // Vertex 3: Number
        'char': 4,      // Vertex 4: Char
        'string': 5,    // Vertex 5: String
        'vector': 6,    // Vertex 6: Vector
        'procedure': 7  // Vertex 7: Procedure
      };
      return mapping[type] ?? -1; // Invalid type
    });

    /**
     * Map cube vertex index (0-7) to R5RS type
     * r5rs:cube-vertex-to-type(vertex-index)
     * Returns type string or null for invalid vertex
     */
    this.register('r5rs:cube-vertex-to-type', (vertexIndex: number) => {
      const types = ['boolean', 'pair', 'symbol', 'number', 'char', 'string', 'vector', 'procedure'];
      return (vertexIndex >= 0 && vertexIndex < types.length) ? types[vertexIndex] : null;
    });

    /**
     * Get all 8 R5RS types as array
     * r5rs:r5rs-8-tuple()
     * Returns array of type strings
     */
    this.register('r5rs:r5rs-8-tuple', () => {
      return ['boolean', 'pair', 'symbol', 'number', 'char', 'string', 'vector', 'procedure'];
    });

    /**
     * Map R5RS type to polyhedron based on dimension
     * r5rs:type-to-polyhedron(type)
     * Returns [polyhedron-name, BQF-array]
     */
    this.register('r5rs:type-to-polyhedron', (type: string) => {
      const dim = typeDimension(type);
      const polyhedra: Record<number, [string, number[]]> = {
        0: ['point', [1, 0, 0]],           // Boolean → Point
        1: ['line', [2, 1, 0]],            // Char → Line
        2: ['plane', [4, 4, 1]],          // Number → Plane
        3: ['tetrahedron', [4, 6, 4]],    // Pair → Tetrahedron
        4: ['cube', [8, 12, 6]],          // String → Cube
        5: ['octahedron', [6, 12, 8]],    // Vector → Octahedron
        6: ['icosahedron', [12, 30, 20]]  // Procedure → Icosahedron
      };
      return polyhedra[dim] ?? ['unknown', [0, 0, 0]];
    });

    /**
     * Get BQF for R5RS type
     * r5rs:type-bqf(type)
     * Returns BQF array [a, b, c]
     */
    this.register('r5rs:type-bqf', (type: string) => {
      const poly = this.getFunction('r5rs:type-to-polyhedron')?.(type);
      if (poly && Array.isArray(poly) && poly.length >= 2) {
        return poly[1]; // Return BQF array
      }
      return [0, 0, 0]; // Default BQF
    });
  }

  /**
   * Register categorical R5RS functions (monads, functors, comonads, perceptron, E8)
   */
  private registerCategoricalFunctions(): void {
    /**
     * Monad: Wrap value in monad (affine)
     * r5rs:monad-wrap(value, bqf?)
     */
    this.register('r5rs:monad-wrap', (value: any, bqf?: number[]) => {
      if (bqf && Array.isArray(bqf) && bqf.length >= 1) {
        return [value, bqf[1] || 0, bqf[2] || 0]; // [value, 0, 0] with optional bqf context
      }
      return [value, 0, 0]; // Pure affine point
    });

    /**
     * Monad: Monadic bind operation
     * r5rs:monad-bind(monad, f)
     */
    this.register('r5rs:monad-bind', (monad: any[], f: Function) => {
      if (!Array.isArray(monad) || monad.length < 1) {
        throw new Error('First argument must be a monad array [value, ...]');
      }
      if (typeof f !== 'function') {
        throw new Error('Second argument must be a function');
      }
      const value = monad[0];
      return f(value);
    });

    /**
     * Functor: Functorial transformation (structure-preserving)
     * r5rs:functor-map(structure, transform)
     */
    this.register('r5rs:functor-map', (structure: any, transform: string) => {
      if (!Array.isArray(structure) || structure.length !== 3) {
        throw new Error('First argument must be a BQF array [a, b, c]');
      }
      const [a, b, c] = structure;
      switch (transform) {
        case 'apply':
          return [a, b, Math.max(0, c - 1)]; // Forward transformation
        case 'abstract':
          return [a, b, c + 1]; // Backward transformation
        case 'dual-swap':
          return [c, b, a]; // Dual swap
        case 'identity':
          return [a, b, c]; // Identity
        default:
          throw new Error(`Unknown transform: ${transform}`);
      }
    });

    /**
     * Comonad: Extract from comonad context
     * r5rs:comonad-extract(comonad)
     */
    this.register('r5rs:comonad-extract', (comonad: any[]) => {
      if (!Array.isArray(comonad) || comonad.length < 3) {
        throw new Error('Argument must be a BQF array [a, b, c]');
      }
      return comonad[2]; // Extract projective component (c)
    });

    /**
     * Comonad: Extend comonad context
     * r5rs:comonad-extend(comonad, f)
     */
    this.register('r5rs:comonad-extend', (comonad: any[], f: Function) => {
      if (!Array.isArray(comonad) || comonad.length < 3) {
        throw new Error('First argument must be a BQF array [a, b, c]');
      }
      if (typeof f !== 'function') {
        throw new Error('Second argument must be a function');
      }
      return f(comonad);
    });

    /**
     * Perceptron: 9-perceptron projection
     * r5rs:perceptron-project(tuple)
     */
    this.register('r5rs:perceptron-project', (tuple: any) => {
      // Simplified: project 8-tuple to nearest E8 root index
      // Full implementation would use E8 lattice
      if (!Array.isArray(tuple) || tuple.length < 8) {
        throw new Error('Argument must be an 8-tuple array');
      }
      // Hash-based projection (simplified)
      const hash = tuple.reduce((acc: number, val: any) => acc + (typeof val === 'string' ? val.charCodeAt(0) : val || 0), 0);
      return hash % 240; // Return root index (0-239)
    });

    /**
     * E8: Embed 8-tuple to E8 vector
     * r5rs:e8-embed(tuple)
     */
    this.register('r5rs:e8-embed', (tuple: any) => {
      if (!Array.isArray(tuple) || tuple.length < 8) {
        throw new Error('Argument must be an 8-tuple array');
      }
      // Convert tuple to 8D vector
      return tuple.slice(0, 8).map((val: any) => {
        if (typeof val === 'number') return val;
        if (typeof val === 'string') return val.length;
        if (typeof val === 'boolean') return val ? 1 : 0;
        return 0;
      });
    });

    /**
     * E8: Project to nearest E8 root
     * r5rs:e8-project(vector)
     */
    this.register('r5rs:e8-project', (vector: any[]) => {
      if (!Array.isArray(vector) || vector.length < 8) {
        throw new Error('Argument must be an 8D vector array');
      }
      // Simplified: return root index based on vector norm
      // Full implementation would use actual E8 root system
      const normSquared = vector.reduce((sum: number, v: number) => sum + v * v, 0);
      return Math.floor(normSquared) % 240; // Return root index (0-239)
    });

    /**
     * E8: E8 theta function
     * r5rs:e8-theta(q)
     */
    this.register('r5rs:e8-theta', (q: number) => {
      if (typeof q !== 'number') {
        throw new Error('Argument must be a number');
      }
      // Simplified: E8 theta function approximation
      // Full implementation would sum over all 240 roots
      // θ_E8(q) = ∑_{x∈E8} q^{||x||²/2}
      // For roots with ||x||² = 2, contribution is q^1
      const rootCount = 240;
      const normSquared = 2; // All E8 roots have norm squared = 2
      return rootCount * Math.pow(q, normSquared / 2);
    });

    /**
     * Lamport Clock: Create Lamport clock monad
     * r5rs:lamport-clock(node, clock)
     */
    this.register('r5rs:lamport-clock', (node: any, clock: number) => {
      if (typeof clock !== 'number') {
        throw new Error('Second argument must be a number');
      }
      return { value: clock, node, state: [node, clock] };
    });

    /**
     * Qubit Monad: Create qubit monad for superposition
     * r5rs:qubit-monad(alpha, beta)
     */
    this.register('r5rs:qubit-monad', (alpha: number | any, beta?: number) => {
      // If only one argument, treat as event to wrap
      if (beta === undefined) {
        return { alpha: 1.0, beta: 0.0, event: alpha };
      }
      if (typeof alpha !== 'number' || typeof beta !== 'number') {
        throw new Error('Both arguments must be numbers');
      }
      return { alpha, beta };
    });
  }

  /**
   * Register Homology R5RS functions
   */
  private registerHomologyFunctions(): void {
    /**
     * Validate homology of chain complex
     * r5rs:validate-homology(complex)
     * Returns: {valid: boolean, betti: number[], eulerCharacteristic: number, violations?: string[]}
     */
    this.register('r5rs:validate-homology', (complex: any) => {
      if (!complex || typeof complex !== 'object') {
        throw new Error('Chain complex is required');
      }
      const validator = new HomologyValidator(complex);
      return validator.validate();
    });

    /**
     * Compute Betti number for dimension n
     * r5rs:compute-betti(complex, n)
     * Returns: Betti number β_n
     */
    this.register('r5rs:compute-betti', (complex: any, n: number) => {
      if (!complex || typeof complex !== 'object') {
        throw new Error('Chain complex is required');
      }
      if (typeof n !== 'number' || n < 0 || n > 4) {
        throw new Error('Dimension must be a number between 0 and 4');
      }
      const validator = new HomologyValidator(complex);
      return validator.computeBetti(n);
    });

    /**
     * Compute Euler characteristic
     * r5rs:compute-euler-characteristic(complex)
     * Returns: Euler characteristic χ
     */
    this.register('r5rs:compute-euler-characteristic', (complex: any) => {
      if (!complex || typeof complex !== 'object') {
        throw new Error('Chain complex is required');
      }
      const validator = new HomologyValidator(complex);
      return validator.computeEulerCharacteristic();
    });

    /**
     * Get boundary of a cell
     * r5rs:boundary-operator(complex, cellId, dim)
     * Returns: Array of boundary cell IDs
     */
    this.register('r5rs:boundary-operator', (complex: any, cellId: string, dim?: number) => {
      if (!complex || typeof complex !== 'object') {
        throw new Error('Chain complex is required');
      }
      if (typeof cellId !== 'string') {
        throw new Error('Cell ID must be a string');
      }
      return complex.boundary?.get(cellId) || [];
    });
  }

  /**
   * Register MetaLogNode R5RS functions
   */
  private registerMetaLogNodeFunctions(): void {
    const manager = new MetaLogNodeManager();

    /**
     * Create MetaLogNode
     * r5rs:create-metalog-node(content, parent?, path?)
     */
    this.register('r5rs:create-metalog-node', async (content: any, parent?: string, path?: string) => {
      if (!content || typeof content !== 'object' || !content.topo || !content.geo) {
        throw new Error('Content with topo and geo is required');
      }
      const options: CreateNodeOptions = {
        content: {
          topo: content.topo,
          geo: content.geo
        },
        parent: parent || 'genesis',
        path
      };
      return await manager.createNode(options);
    });

    /**
     * Verify MetaLogNode signature
     * r5rs:verify-metalog-node(node, publicKey?)
     */
    this.register('r5rs:verify-metalog-node', async (node: any, publicKey?: string) => {
      if (!node || typeof node !== 'object') {
        throw new Error('MetaLogNode is required');
      }
      return await manager.verifyNode(node, publicKey);
    });

    /**
     * Compute CID from content
     * r5rs:compute-cid(content)
     */
    this.register('r5rs:compute-cid', async (content: any) => {
      if (!content || typeof content !== 'object' || !content.topo || !content.geo) {
        throw new Error('Content with topo and geo is required');
      }
      return await manager.computeCID({
        topo: content.topo,
        geo: content.geo
      });
    });
  }

  /**
   * Register Geometry R5RS functions
   */
  private registerGeometryFunctions(): void {
    const converter = new ProjectiveAffineConverter();

    /**
     * Convert affine to projective coordinates
     * r5rs:affine-to-projective(affine)
     */
    this.register('r5rs:affine-to-projective', (affine: any) => {
      if (!affine || typeof affine !== 'object' || typeof affine.x !== 'number' || typeof affine.y !== 'number') {
        throw new Error('Affine coordinates with x and y are required');
      }
      return converter.affineToProjective(affine);
    });

    /**
     * Convert projective to affine coordinates
     * r5rs:projective-to-affine(projective)
     */
    this.register('r5rs:projective-to-affine', (projective: any) => {
      if (!projective || typeof projective !== 'object' || 
          typeof projective.x !== 'number' || typeof projective.y !== 'number' ||
          typeof projective.z !== 'number' || typeof projective.w !== 'number') {
        throw new Error('Projective coordinates with x, y, z, w are required');
      }
      return converter.projectiveToAffine(projective);
    });
  }

  /**
   * Register DAG R5RS functions
   */
  private registerDAGFunctions(): void {
    /**
     * Find Lowest Common Ancestor (LCA)
     * r5rs:find-lca(dag, cid1, cid2)
     */
    this.register('r5rs:find-lca', (dag: any, cid1: string, cid2: string) => {
      if (!dag || typeof dag !== 'object') {
        throw new Error('DAG is required');
      }
      if (typeof cid1 !== 'string' || typeof cid2 !== 'string') {
        throw new Error('Both CIDs must be strings');
      }
      const manager = new DAGManager(dag);
      return manager.findLCA(cid1, cid2);
    });

    /**
     * Get children of a node
     * r5rs:get-children(dag, cid)
     */
    this.register('r5rs:get-children', (dag: any, cid: string) => {
      if (!dag || typeof dag !== 'object') {
        throw new Error('DAG is required');
      }
      if (typeof cid !== 'string') {
        throw new Error('CID must be a string');
      }
      const manager = new DAGManager(dag);
      return manager.getChildren(cid);
    });

    /**
     * Get ancestors of a node
     * r5rs:get-ancestors(dag, cid)
     */
    this.register('r5rs:get-ancestors', (dag: any, cid: string) => {
      if (!dag || typeof dag !== 'object') {
        throw new Error('DAG is required');
      }
      if (typeof cid !== 'string') {
        throw new Error('CID must be a string');
      }
      const manager = new DAGManager(dag);
      return manager.getAncestors(cid);
    });
  }

  /**
   * Register Org Mode R5RS functions
   */
  private registerOrgModeFunctions(): void {
    /**
     * Parse Org Mode document
     * r5rs:parse-org-document(content)
     */
    this.register('r5rs:parse-org-document', async (content: string) => {
      if (typeof content !== 'string') {
        throw new Error('Content must be a string');
      }
      return await OrgModeFunctions.parseOrgDocument(content);
    });

    /**
     * Extract headings from Org Mode document
     * r5rs:extract-headings(content)
     */
    this.register('r5rs:extract-headings', async (content: string) => {
      if (typeof content !== 'string') {
        throw new Error('Content must be a string');
      }
      return await OrgModeFunctions.extractHeadings(content);
    });

    /**
     * Extract source blocks from Org Mode document
     * r5rs:extract-source-blocks(content)
     */
    this.register('r5rs:extract-source-blocks', async (content: string) => {
      if (typeof content !== 'string') {
        throw new Error('Content must be a string');
      }
      return await OrgModeFunctions.extractSourceBlocks(content);
    });

    /**
     * Extract property drawers from Org Mode document
     * r5rs:extract-property-drawers(content)
     */
    this.register('r5rs:extract-property-drawers', async (content: string) => {
      if (typeof content !== 'string') {
        throw new Error('Content must be a string');
      }
      return await OrgModeFunctions.extractPropertyDrawers(content);
    });

    /**
     * Expand Noweb references
     * r5rs:expand-noweb(content, namedBlocks)
     */
    this.register('r5rs:expand-noweb', async (content: string, namedBlocks: any) => {
      if (typeof content !== 'string') {
        throw new Error('Content must be a string');
      }
      const blocksMap = new Map<string, string>();
      if (namedBlocks && typeof namedBlocks === 'object') {
        if (Array.isArray(namedBlocks)) {
          for (const block of namedBlocks) {
            if (block.name && block.content) {
              blocksMap.set(block.name, block.content);
            }
          }
        } else {
          for (const [key, value] of Object.entries(namedBlocks)) {
            blocksMap.set(key, String(value));
          }
        }
      }
      return await OrgModeFunctions.expandNoweb(content, blocksMap);
    });
  }

  /**
   * Execute an R5RS function
   */
  async execute(functionName: string, args: any[]): Promise<any> {
    const fn = this.getFunction(functionName);
    if (!fn) {
      throw new Error(`R5RS function not found: ${functionName}`);
    }

    try {
      return fn(...args);
    } catch (error) {
      throw new Error(`Error executing R5RS function ${functionName}: ${error}`);
    }
  }

  /**
   * Register a custom function
   */
  register(name: string, fn: Function): void {
    this.functions.set(name, fn);
  }

  /**
   * Get a function by name
   */
  getFunction(name: string): Function | null {
    return this.functions.get(name) || null;
  }

  /**
   * Check if a function exists
   */
  hasFunction(name: string): boolean {
    return this.functions.has(name);
  }

  /**
   * Get all registered function names
   */
  getFunctionNames(): string[] {
    return Array.from(this.functions.keys());
  }

  /**
   * Clear all functions
   */
  clear(): void {
    this.functions.clear();
  }
}