optirs_core/privacy/
secure_multiparty.rs

1// Secure Multi-Party Computation (SMPC) for Privacy-Preserving Optimization
2//
3// This module implements advanced cryptographic protocols for secure multi-party
4// computation, enabling privacy-preserving federated optimization without relying
5// solely on differential privacy noise.
6
7use crate::error::{OptimError, Result};
8use scirs2_core::ndarray::Array1;
9use scirs2_core::numeric::Float;
10use scirs2_core::random::Rng;
11use std::collections::HashMap;
12use std::fmt::Debug;
13
14/// Secure Multi-Party Computation coordinator
15pub struct SMPCCoordinator<T: Float + Debug + Send + Sync + 'static> {
16    /// Configuration for SMPC protocols
17    config: SMPCConfig,
18
19    /// Shamir secret sharing engine
20    secret_sharing: ShamirSecretSharing<T>,
21
22    /// Secure aggregation with cryptographic guarantees
23    secure_aggregator: CryptographicAggregator<T>,
24
25    /// Homomorphic encryption engine
26    homomorphic_engine: HomomorphicEngine<T>,
27
28    /// Zero-knowledge proof system
29    zk_proof_system: ZKProofSystem<T>,
30
31    /// Participant management
32    participants: HashMap<String, Participant>,
33
34    /// Current protocol state
35    protocol_state: SMPCProtocolState,
36}
37
38/// Configuration for SMPC protocols
39#[derive(Debug, Clone)]
40pub struct SMPCConfig {
41    /// Number of participants
42    pub num_participants: usize,
43
44    /// Threshold for secret sharing (k in k-out-of-n)
45    pub threshold: usize,
46
47    /// Security parameter for cryptographic operations
48    pub security_parameter: usize,
49
50    /// Enable homomorphic encryption
51    pub enable_homomorphic: bool,
52
53    /// Enable zero-knowledge proofs
54    pub enable_zk_proofs: bool,
55
56    /// SMPC protocol variant
57    pub protocol_variant: SMPCProtocol,
58
59    /// Communication security level
60    pub communication_security: CommunicationSecurity,
61
62    /// Malicious adversary tolerance
63    pub malicious_tolerance: MaliciousTolerance,
64}
65
66/// SMPC protocol variants
67#[derive(Debug, Clone, Copy)]
68pub enum SMPCProtocol {
69    /// BGW protocol for arithmetic circuits
70    BGW,
71
72    /// GMW protocol for boolean circuits
73    GMW,
74
75    /// SPDZ protocol with preprocessing
76    SPDZ,
77
78    /// ABY hybrid protocol
79    ABY,
80
81    /// Custom protocol for federated learning
82    FederatedSMPC,
83}
84
85/// Communication security models
86#[derive(Debug, Clone, Copy)]
87pub enum CommunicationSecurity {
88    /// Semi-honest adversaries
89    SemiHonest,
90
91    /// Malicious adversaries with abort
92    MaliciousAbort,
93
94    /// Malicious adversaries with guaranteed output
95    MaliciousGuaranteed,
96}
97
98/// Malicious adversary tolerance configuration
99#[derive(Debug, Clone)]
100pub struct MaliciousTolerance {
101    /// Maximum number of corrupted participants
102    pub max_corrupted: usize,
103
104    /// Enable Byzantine fault tolerance
105    pub byzantine_tolerance: bool,
106
107    /// Verification threshold
108    pub verification_threshold: f64,
109
110    /// Enable commit-and-prove protocols
111    pub commit_and_prove: bool,
112}
113
114/// Participant in SMPC protocol
115#[derive(Debug, Clone)]
116pub struct Participant {
117    /// Unique participant identifier
118    pub id: String,
119
120    /// Public key for the participant
121    pub public_key: Vec<u8>,
122
123    /// Participation status
124    pub status: ParticipantStatus,
125
126    /// Trust score for malicious detection
127    pub trust_score: f64,
128
129    /// Commitment to computation
130    pub commitment: Option<Vec<u8>>,
131}
132
133/// Participant status in protocol
134#[derive(Debug, Clone, Copy)]
135pub enum ParticipantStatus {
136    /// Active and participating
137    Active,
138
139    /// Temporarily unavailable
140    Unavailable,
141
142    /// Suspected malicious behavior
143    Suspicious,
144
145    /// Confirmed malicious behavior
146    Malicious,
147}
148
149/// SMPC protocol execution state
150#[derive(Debug, Clone)]
151pub enum SMPCProtocolState {
152    /// Initialization phase
153    Initialization,
154
155    /// Key generation and setup
156    Setup,
157
158    /// Input sharing phase
159    InputSharing,
160
161    /// Computation phase
162    Computation,
163
164    /// Output reconstruction
165    OutputReconstruction,
166
167    /// Protocol completed
168    Completed,
169
170    /// Protocol aborted due to malicious behavior
171    Aborted(String),
172}
173
174/// Shamir Secret Sharing implementation
175pub struct ShamirSecretSharing<T: Float + Debug + Send + Sync + 'static> {
176    /// Threshold for reconstruction
177    threshold: usize,
178
179    /// Number of shares
180    num_shares: usize,
181
182    /// Prime field for arithmetic
183    prime_field: u128,
184
185    /// Polynomial coefficients
186    coefficients: Vec<T>,
187}
188
189impl<T: Float + Debug + Send + Sync + 'static> ShamirSecretSharing<T> {
190    /// Create new secret sharing instance
191    pub fn new(threshold: usize, numshares: usize) -> Self {
192        // Use a large prime for field arithmetic
193        let prime_field = 2u128.pow(127) - 1; // Mersenne prime
194
195        Self {
196            threshold,
197            num_shares: numshares,
198            prime_field,
199            coefficients: Vec::new(),
200        }
201    }
202
203    /// Share a secret value
204    pub fn share_secret(&mut self, secret: T) -> Result<Vec<(usize, T)>> {
205        // Generate random polynomial coefficients
206        let mut rng = scirs2_core::random::Random::seed(42);
207        self.coefficients.clear();
208        self.coefficients.push(secret); // a0 = secret
209
210        for _ in 1..self.threshold {
211            let coeff = T::from(rng.gen_range(0.0..1.0)).unwrap();
212            self.coefficients.push(coeff);
213        }
214
215        // Evaluate polynomial at different points
216        let mut shares = Vec::new();
217        for i in 1..=self.num_shares {
218            let x = T::from(i).unwrap_or_else(|| T::zero());
219            let y = self.evaluate_polynomial(x);
220            shares.push((i, y));
221        }
222
223        Ok(shares)
224    }
225
226    /// Reconstruct secret from shares
227    pub fn reconstruct_secret(&self, shares: &[(usize, T)]) -> Result<T> {
228        if shares.len() < self.threshold {
229            return Err(OptimError::InvalidConfig(
230                "Insufficient shares for reconstruction".to_string(),
231            ));
232        }
233
234        // Use Lagrange interpolation
235        let mut result = T::zero();
236
237        for (i, &(xi, yi)) in shares.iter().enumerate().take(self.threshold) {
238            let mut lagrange_coeff = T::one();
239
240            for (j, &(xj, _)) in shares.iter().enumerate().take(self.threshold) {
241                if i != j {
242                    let xi_f = T::from(xi).unwrap_or_else(|| T::zero());
243                    let xj_f = T::from(xj).unwrap_or_else(|| T::zero());
244                    lagrange_coeff = lagrange_coeff * (T::zero() - xj_f) / (xi_f - xj_f);
245                }
246            }
247
248            result = result + yi * lagrange_coeff;
249        }
250
251        Ok(result)
252    }
253
254    /// Evaluate polynomial at given point
255    fn evaluate_polynomial(&self, x: T) -> T {
256        let mut result = T::zero();
257        let mut x_power = T::one();
258
259        for &coeff in &self.coefficients {
260            result = result + coeff * x_power;
261            x_power = x_power * x;
262        }
263
264        result
265    }
266}
267
268/// Cryptographic aggregator with formal security guarantees
269pub struct CryptographicAggregator<T: Float + Debug + Send + Sync + 'static> {
270    /// Configuration
271    config: SMPCConfig,
272
273    /// Commitment scheme
274    commitment_scheme: CommitmentScheme<T>,
275
276    /// Verification parameters
277    verification_params: VerificationParameters<T>,
278
279    /// Aggregation proofs
280    aggregation_proofs: Vec<AggregationProof<T>>,
281}
282
283impl<T: Float + Debug + Send + Sync + 'static + scirs2_core::ndarray::ScalarOperand>
284    CryptographicAggregator<T>
285{
286    /// Create new cryptographic aggregator
287    pub fn new(config: SMPCConfig) -> Self {
288        Self {
289            config,
290            commitment_scheme: CommitmentScheme::new(),
291            verification_params: VerificationParameters::new(),
292            aggregation_proofs: Vec::new(),
293        }
294    }
295
296    /// Perform secure aggregation with cryptographic guarantees
297    pub fn secure_aggregate(
298        &mut self,
299        participant_inputs: &HashMap<String, Array1<T>>,
300        participants: &HashMap<String, Participant>,
301    ) -> Result<SecureAggregationResult<T>> {
302        // Phase 1: Input commitment
303        let commitments = self.commit_inputs(participant_inputs)?;
304
305        // Phase 2: Malicious behavior detection
306        let honest_participants = self.detect_malicious_behavior(participants, &commitments)?;
307
308        // Phase 3: Secure aggregation
309        let aggregate = self.aggregate_honest_inputs(participant_inputs, &honest_participants)?;
310
311        // Phase 4: Generate aggregation proof
312        let proof = self.generate_aggregation_proof(&aggregate, &commitments)?;
313
314        Ok(SecureAggregationResult {
315            aggregate,
316            honest_participants,
317            proof,
318            security_level: self.config.communication_security,
319        })
320    }
321
322    /// Commit to input values
323    fn commit_inputs(
324        &mut self,
325        inputs: &HashMap<String, Array1<T>>,
326    ) -> Result<HashMap<String, Vec<u8>>> {
327        let mut commitments = HashMap::new();
328
329        for (participant_id, input) in inputs {
330            let commitment = self.commitment_scheme.commit(input)?;
331            commitments.insert(participant_id.clone(), commitment);
332        }
333
334        Ok(commitments)
335    }
336
337    /// Detect malicious behavior
338    fn detect_malicious_behavior(
339        &self,
340        participants: &HashMap<String, Participant>,
341        commitments: &HashMap<String, Vec<u8>>,
342    ) -> Result<Vec<String>> {
343        let mut honest_participants = Vec::new();
344
345        for (participant_id, participant) in participants {
346            if let Some(commitment) = commitments.get(participant_id) {
347                // Verify commitment and check participant status
348                let is_honest = self.verify_participant_honesty(participant, commitment)?;
349
350                if is_honest {
351                    honest_participants.push(participant_id.clone());
352                }
353            }
354        }
355
356        // Ensure we have enough honest participants
357        if honest_participants.len() < self.config.threshold {
358            return Err(OptimError::InvalidConfig(
359                "Insufficient honest participants for secure aggregation".to_string(),
360            ));
361        }
362
363        Ok(honest_participants)
364    }
365
366    /// Aggregate inputs from honest participants
367    fn aggregate_honest_inputs(
368        &self,
369        inputs: &HashMap<String, Array1<T>>,
370        honest_participants: &[String],
371    ) -> Result<Array1<T>> {
372        if honest_participants.is_empty() {
373            return Err(OptimError::InvalidConfig(
374                "No honest _participants for aggregation".to_string(),
375            ));
376        }
377
378        // Get the first honest participant's input to determine dimensions
379        let first_participant = &honest_participants[0];
380        let first_input = inputs.get(first_participant).ok_or_else(|| {
381            OptimError::InvalidConfig("Missing input for participant".to_string())
382        })?;
383
384        let mut aggregate = Array1::zeros(first_input.len());
385        let mut count = 0;
386
387        for participant_id in honest_participants {
388            if let Some(input) = inputs.get(participant_id) {
389                aggregate = aggregate + input;
390                count += 1;
391            }
392        }
393
394        if count > 0 {
395            aggregate = aggregate / T::from(count).unwrap_or_else(|| T::zero());
396        }
397
398        Ok(aggregate)
399    }
400
401    /// Generate aggregation proof
402    fn generate_aggregation_proof(
403        &mut self,
404        aggregate: &Array1<T>,
405        commitments: &HashMap<String, Vec<u8>>,
406    ) -> Result<AggregationProof<T>> {
407        let proof = AggregationProof {
408            aggregate_commitment: self.commitment_scheme.commit(aggregate)?,
409            participant_commitments: commitments.clone(),
410            verification_data: self
411                .verification_params
412                .generate_verification_data(aggregate)?,
413            timestamp: std::time::SystemTime::now(),
414            _phantom: std::marker::PhantomData,
415        };
416
417        self.aggregation_proofs.push(proof.clone());
418        Ok(proof)
419    }
420
421    /// Verify participant honesty
422    fn verify_participant_honesty(
423        &self,
424        participant: &Participant,
425        commitment: &[u8],
426    ) -> Result<bool> {
427        // Check participant status
428        if matches!(
429            participant.status,
430            ParticipantStatus::Malicious | ParticipantStatus::Suspicious
431        ) {
432            return Ok(false);
433        }
434
435        // Verify commitment if participant has one
436        if let Some(participant_commitment) = &participant.commitment {
437            if participant_commitment != commitment {
438                return Ok(false);
439            }
440        }
441
442        // Check trust score
443        Ok(participant.trust_score >= self.config.malicious_tolerance.verification_threshold)
444    }
445}
446
447/// Commitment scheme for input values
448pub struct CommitmentScheme<T: Float + Debug + Send + Sync + 'static> {
449    /// Random commitment key
450    commitment_key: Vec<u8>,
451
452    /// Phantom data to mark type parameter as intentionally unused
453    _phantom: std::marker::PhantomData<T>,
454}
455
456impl<T: Float + Debug + Send + Sync + 'static> Default for CommitmentScheme<T> {
457    fn default() -> Self {
458        Self::new()
459    }
460}
461
462impl<T: Float + Debug + Send + Sync + 'static> CommitmentScheme<T> {
463    /// Create new commitment scheme
464    pub fn new() -> Self {
465        let mut rng = scirs2_core::random::Random::seed(42);
466        let commitment_key: Vec<u8> = (0..32).map(|_| rng.gen_range(0..255)).collect();
467
468        Self {
469            commitment_key,
470            _phantom: std::marker::PhantomData,
471        }
472    }
473
474    /// Commit to a value
475    pub fn commit(&self, value: &Array1<T>) -> Result<Vec<u8>> {
476        use sha2::{Digest, Sha256};
477
478        let mut hasher = Sha256::new();
479        hasher.update(&self.commitment_key);
480
481        // Convert array to bytes
482        for &v in value.iter() {
483            let v_bytes = v.to_f64().unwrap().to_le_bytes();
484            hasher.update(v_bytes);
485        }
486
487        Ok(hasher.finalize().to_vec())
488    }
489}
490
491/// Verification parameters for aggregation
492pub struct VerificationParameters<T: Float + Debug + Send + Sync + 'static> {
493    /// Verification key
494    verification_key: Vec<u8>,
495
496    /// Parameters for proof generation
497    proof_params: ProofParameters<T>,
498}
499
500impl<T: Float + Debug + Send + Sync + 'static> Default for VerificationParameters<T> {
501    fn default() -> Self {
502        Self::new()
503    }
504}
505
506impl<T: Float + Debug + Send + Sync + 'static> VerificationParameters<T> {
507    /// Create new verification parameters
508    pub fn new() -> Self {
509        let mut rng = scirs2_core::random::Random::seed(42);
510        let verification_key: Vec<u8> = (0..64).map(|_| rng.gen_range(0..255)).collect();
511
512        Self {
513            verification_key,
514            proof_params: ProofParameters::new(),
515        }
516    }
517
518    /// Generate verification data for aggregation result
519    pub fn generate_verification_data(&self, aggregate: &Array1<T>) -> Result<Vec<u8>> {
520        use sha2::{Digest, Sha256};
521
522        let mut hasher = Sha256::new();
523        hasher.update(&self.verification_key);
524
525        for &v in aggregate.iter() {
526            let v_bytes = v.to_f64().unwrap().to_le_bytes();
527            hasher.update(v_bytes);
528        }
529
530        Ok(hasher.finalize().to_vec())
531    }
532}
533
534/// Proof parameters for cryptographic operations
535pub struct ProofParameters<T: Float + Debug + Send + Sync + 'static> {
536    /// Generator elements
537    generators: Vec<T>,
538
539    /// Proof system parameters
540    system_params: Vec<u8>,
541}
542
543impl<T: Float + Debug + Send + Sync + 'static> Default for ProofParameters<T> {
544    fn default() -> Self {
545        Self::new()
546    }
547}
548
549impl<T: Float + Debug + Send + Sync + 'static> ProofParameters<T> {
550    /// Create new proof parameters
551    pub fn new() -> Self {
552        let mut rng = scirs2_core::random::Random::seed(42);
553        let generators: Vec<T> = (0..16)
554            .map(|_| T::from(rng.gen_range(0.0..1.0)).unwrap())
555            .collect();
556        let system_params: Vec<u8> = (0..128).map(|_| rng.gen_range(0..255)).collect();
557
558        Self {
559            generators,
560            system_params,
561        }
562    }
563}
564
565/// Homomorphic encryption engine
566pub struct HomomorphicEngine<T: Float + Debug + Send + Sync + 'static> {
567    /// Encryption parameters
568    params: HomomorphicParameters<T>,
569
570    /// Public key
571    public_key: Vec<u8>,
572
573    /// Private key (for demonstration - in practice would be distributed)
574    private_key: Vec<u8>,
575}
576
577impl<T: Float + Debug + Send + Sync + 'static> Default for HomomorphicEngine<T> {
578    fn default() -> Self {
579        Self::new()
580    }
581}
582
583impl<T: Float + Debug + Send + Sync + 'static> HomomorphicEngine<T> {
584    /// Create new homomorphic encryption engine
585    pub fn new() -> Self {
586        let mut rng = scirs2_core::random::Random::seed(42);
587        let public_key: Vec<u8> = (0..256).map(|_| rng.gen_range(0..255)).collect();
588        let private_key: Vec<u8> = (0..256).map(|_| rng.gen_range(0..255)).collect();
589
590        Self {
591            params: HomomorphicParameters::new(),
592            public_key,
593            private_key,
594        }
595    }
596
597    /// Encrypt array homomorphically
598    pub fn encrypt(&self, data: &Array1<T>) -> Result<HomomorphicCiphertext<T>> {
599        // Simplified homomorphic encryption (in practice would use FHE libraries)
600        let mut encrypted_data = Vec::new();
601
602        for &value in data.iter() {
603            let encrypted_value = self.encrypt_value(value)?;
604            encrypted_data.push(encrypted_value);
605        }
606
607        Ok(HomomorphicCiphertext {
608            data: encrypted_data,
609            params: self.params.clone(),
610        })
611    }
612
613    /// Decrypt homomorphic ciphertext
614    pub fn decrypt(&self, ciphertext: &HomomorphicCiphertext<T>) -> Result<Array1<T>> {
615        let mut decrypted_data = Vec::new();
616
617        for encrypted_value in &ciphertext.data {
618            let decrypted_value = self.decrypt_value(encrypted_value)?;
619            decrypted_data.push(decrypted_value);
620        }
621
622        Ok(Array1::from(decrypted_data))
623    }
624
625    /// Add encrypted values
626    pub fn add_encrypted(
627        &self,
628        a: &HomomorphicCiphertext<T>,
629        b: &HomomorphicCiphertext<T>,
630    ) -> Result<HomomorphicCiphertext<T>> {
631        if a.data.len() != b.data.len() {
632            return Err(OptimError::InvalidConfig(
633                "Ciphertext dimensions don't match".to_string(),
634            ));
635        }
636
637        let mut result_data = Vec::new();
638
639        for (a_val, b_val) in a.data.iter().zip(b.data.iter()) {
640            let sum = self.add_encrypted_values(a_val, b_val)?;
641            result_data.push(sum);
642        }
643
644        Ok(HomomorphicCiphertext {
645            data: result_data,
646            params: self.params.clone(),
647        })
648    }
649
650    /// Encrypt single value
651    fn encrypt_value(&self, value: T) -> Result<Vec<u8>> {
652        use sha2::{Digest, Sha256};
653
654        let mut hasher = Sha256::new();
655        hasher.update(&self.public_key);
656        hasher.update(value.to_f64().unwrap().to_le_bytes());
657
658        Ok(hasher.finalize().to_vec())
659    }
660
661    /// Decrypt single value
662    fn decrypt_value(&self, encrypted: &[u8]) -> Result<T> {
663        // Simplified decryption (in practice would use proper FHE decryption)
664        let mut value_bytes = [0u8; 8];
665        value_bytes.copy_from_slice(&encrypted[0..8]);
666        let value = f64::from_le_bytes(value_bytes);
667
668        Ok(T::from(value).unwrap_or_else(|| T::zero()))
669    }
670
671    /// Add encrypted values
672    fn add_encrypted_values(&self, a: &[u8], b: &[u8]) -> Result<Vec<u8>> {
673        // Simplified homomorphic addition
674        let mut result = Vec::with_capacity(a.len());
675
676        for (a_byte, b_byte) in a.iter().zip(b.iter()) {
677            result.push(a_byte.wrapping_add(*b_byte));
678        }
679
680        Ok(result)
681    }
682}
683
684/// Homomorphic encryption parameters
685#[derive(Debug, Clone)]
686pub struct HomomorphicParameters<T: Float + Debug + Send + Sync + 'static> {
687    /// Security level
688    pub security_level: usize,
689
690    /// Noise parameters
691    pub noise_params: Vec<T>,
692
693    /// Modulus for arithmetic
694    pub modulus: u128,
695}
696
697impl<T: Float + Debug + Send + Sync + 'static> Default for HomomorphicParameters<T> {
698    fn default() -> Self {
699        Self::new()
700    }
701}
702
703impl<T: Float + Debug + Send + Sync + 'static> HomomorphicParameters<T> {
704    /// Create new homomorphic parameters
705    pub fn new() -> Self {
706        let mut rng = scirs2_core::random::Random::seed(42);
707        let noise_params: Vec<T> = (0..8)
708            .map(|_| T::from(rng.gen_range(0.0..1.0)).unwrap())
709            .collect();
710
711        Self {
712            security_level: 128,
713            noise_params,
714            modulus: 2u128.pow(64) - 1,
715        }
716    }
717}
718
719/// Homomorphic ciphertext
720#[derive(Debug, Clone)]
721pub struct HomomorphicCiphertext<T: Float + Debug + Send + Sync + 'static> {
722    /// Encrypted data
723    pub data: Vec<Vec<u8>>,
724
725    /// Encryption parameters
726    pub params: HomomorphicParameters<T>,
727}
728
729/// Zero-knowledge proof system
730pub struct ZKProofSystem<T: Float + Debug + Send + Sync + 'static> {
731    /// Proof parameters
732    params: ZKProofParameters<T>,
733
734    /// Common reference string
735    crs: Vec<u8>,
736}
737
738impl<T: Float + Debug + Send + Sync + 'static> Default for ZKProofSystem<T> {
739    fn default() -> Self {
740        Self::new()
741    }
742}
743
744impl<T: Float + Debug + Send + Sync + 'static> ZKProofSystem<T> {
745    /// Create new zero-knowledge proof system
746    pub fn new() -> Self {
747        let mut rng = scirs2_core::random::Random::seed(42);
748        let crs: Vec<u8> = (0..512).map(|_| rng.gen_range(0..255)).collect();
749
750        Self {
751            params: ZKProofParameters::new(),
752            crs,
753        }
754    }
755
756    /// Generate proof of correct computation
757    pub fn prove_computation(
758        &self,
759        input: &Array1<T>,
760        output: &Array1<T>,
761        computation: &str,
762    ) -> Result<ZKProof<T>> {
763        // Simplified ZK proof generation
764        let proof = ZKProof {
765            statement: format!("Computed {} on input", computation),
766            witness: self.generate_witness(input, output)?,
767            proof_data: self.generate_proof_data(input, output)?,
768            verification_key: self.crs.clone(),
769            _phantom: std::marker::PhantomData,
770        };
771
772        Ok(proof)
773    }
774
775    /// Verify zero-knowledge proof
776    pub fn verify_proof(&self, proof: &ZKProof<T>) -> Result<bool> {
777        // Simplified verification (in practice would use proper ZK verification)
778        Ok(!proof.proof_data.is_empty() && proof.verification_key == self.crs)
779    }
780
781    /// Generate witness for proof
782    fn generate_witness(&self, input: &Array1<T>, output: &Array1<T>) -> Result<Vec<u8>> {
783        use sha2::{Digest, Sha256};
784
785        let mut hasher = Sha256::new();
786
787        for &v in input.iter() {
788            hasher.update(v.to_f64().unwrap().to_le_bytes());
789        }
790
791        for &v in output.iter() {
792            hasher.update(v.to_f64().unwrap().to_le_bytes());
793        }
794
795        Ok(hasher.finalize().to_vec())
796    }
797
798    /// Generate proof data
799    fn generate_proof_data(&self, input: &Array1<T>, output: &Array1<T>) -> Result<Vec<u8>> {
800        use sha2::{Digest, Sha256};
801
802        let mut hasher = Sha256::new();
803        hasher.update(&self.crs);
804
805        let witness = self.generate_witness(input, output)?;
806        hasher.update(&witness);
807
808        Ok(hasher.finalize().to_vec())
809    }
810}
811
812/// Zero-knowledge proof parameters
813#[derive(Debug, Clone)]
814pub struct ZKProofParameters<T: Float + Debug + Send + Sync + 'static> {
815    /// Security parameter
816    pub security_param: usize,
817
818    /// Proof system type
819    pub proof_type: ZKProofType,
820
821    /// Circuit parameters
822    pub circuit_params: Vec<T>,
823}
824
825impl<T: Float + Debug + Send + Sync + 'static> Default for ZKProofParameters<T> {
826    fn default() -> Self {
827        Self::new()
828    }
829}
830
831impl<T: Float + Debug + Send + Sync + 'static> ZKProofParameters<T> {
832    /// Create new ZK proof parameters
833    pub fn new() -> Self {
834        let mut rng = scirs2_core::random::Random::seed(42);
835        let circuit_params: Vec<T> = (0..16)
836            .map(|_| T::from(rng.gen_range(0.0..1.0)).unwrap())
837            .collect();
838
839        Self {
840            security_param: 128,
841            proof_type: ZKProofType::SNARK,
842            circuit_params,
843        }
844    }
845}
846
847/// Zero-knowledge proof types
848#[derive(Debug, Clone, Copy)]
849pub enum ZKProofType {
850    /// Succinct Non-Interactive Arguments of Knowledge
851    SNARK,
852
853    /// Scalable Transparent Arguments of Knowledge
854    STARK,
855
856    /// Bulletproofs
857    Bulletproof,
858}
859
860/// Zero-knowledge proof
861#[derive(Debug, Clone)]
862pub struct ZKProof<T: Float + Debug + Send + Sync + 'static> {
863    /// Statement being proved
864    pub statement: String,
865
866    /// Witness data
867    pub witness: Vec<u8>,
868
869    /// Proof data
870    pub proof_data: Vec<u8>,
871
872    /// Verification key
873    pub verification_key: Vec<u8>,
874
875    /// Phantom data to mark type parameter as intentionally unused
876    _phantom: std::marker::PhantomData<T>,
877}
878
879/// Aggregation proof
880#[derive(Debug, Clone)]
881pub struct AggregationProof<T: Float + Debug + Send + Sync + 'static> {
882    /// Commitment to aggregate result
883    pub aggregate_commitment: Vec<u8>,
884
885    /// Participant commitments
886    pub participant_commitments: HashMap<String, Vec<u8>>,
887
888    /// Verification data
889    pub verification_data: Vec<u8>,
890
891    /// Timestamp of proof generation
892    pub timestamp: std::time::SystemTime,
893
894    /// Phantom data to mark type parameter as intentionally unused
895    _phantom: std::marker::PhantomData<T>,
896}
897
898/// Secure aggregation result
899#[derive(Debug, Clone)]
900pub struct SecureAggregationResult<T: Float + Debug + Send + Sync + 'static> {
901    /// Aggregated result
902    pub aggregate: Array1<T>,
903
904    /// List of honest participants
905    pub honest_participants: Vec<String>,
906
907    /// Cryptographic proof of correctness
908    pub proof: AggregationProof<T>,
909
910    /// Security level achieved
911    pub security_level: CommunicationSecurity,
912}
913
914impl<T: Float + Debug + Send + Sync + 'static + scirs2_core::ndarray::ScalarOperand>
915    SMPCCoordinator<T>
916{
917    /// Create new SMPC coordinator
918    pub fn new(config: SMPCConfig) -> Result<Self> {
919        let secret_sharing = ShamirSecretSharing::new(config.threshold, config.num_participants);
920        let secure_aggregator = CryptographicAggregator::new(config.clone());
921        let homomorphic_engine = HomomorphicEngine::new();
922        let zk_proof_system = ZKProofSystem::new();
923
924        Ok(Self {
925            config,
926            secret_sharing,
927            secure_aggregator,
928            homomorphic_engine,
929            zk_proof_system,
930            participants: HashMap::new(),
931            protocol_state: SMPCProtocolState::Initialization,
932        })
933    }
934
935    /// Add participant to the protocol
936    pub fn add_participant(&mut self, participant: Participant) -> Result<()> {
937        if self.participants.len() >= self.config.num_participants {
938            return Err(OptimError::InvalidConfig(
939                "Maximum number of participants reached".to_string(),
940            ));
941        }
942
943        self.participants
944            .insert(participant.id.clone(), participant);
945        Ok(())
946    }
947
948    /// Execute secure multi-party computation
949    pub fn execute_smpc(
950        &mut self,
951        participant_inputs: HashMap<String, Array1<T>>,
952        computation: SMPCComputation,
953    ) -> Result<SMPCResult<T>> {
954        // Phase 1: Setup and initialization
955        self.protocol_state = SMPCProtocolState::Setup;
956        self.verify_participants()?;
957
958        // Phase 2: Input sharing
959        self.protocol_state = SMPCProtocolState::InputSharing;
960        let shared_inputs = self.share_inputs(&participant_inputs)?;
961
962        // Phase 3: Secure computation
963        self.protocol_state = SMPCProtocolState::Computation;
964        let computation_result = self.perform_secure_computation(&shared_inputs, computation)?;
965
966        // Phase 4: Output reconstruction
967        self.protocol_state = SMPCProtocolState::OutputReconstruction;
968        let result = self.reconstruct_output(&computation_result)?;
969
970        // Phase 5: Generate proofs
971        let proof = self.generate_computation_proof(&participant_inputs, &result)?;
972
973        self.protocol_state = SMPCProtocolState::Completed;
974
975        Ok(SMPCResult {
976            result,
977            proof,
978            participating_parties: self.participants.keys().cloned().collect(),
979            security_guarantees: self.get_security_guarantees(),
980        })
981    }
982
983    /// Verify participants are ready for protocol
984    fn verify_participants(&self) -> Result<()> {
985        if self.participants.len() < self.config.threshold {
986            return Err(OptimError::InvalidConfig(
987                "Insufficient participants for protocol".to_string(),
988            ));
989        }
990
991        let active_participants: Vec<_> = self
992            .participants
993            .values()
994            .filter(|p| matches!(p.status, ParticipantStatus::Active))
995            .collect();
996
997        if active_participants.len() < self.config.threshold {
998            return Err(OptimError::InvalidConfig(
999                "Insufficient active participants".to_string(),
1000            ));
1001        }
1002
1003        Ok(())
1004    }
1005
1006    /// Share inputs using secret sharing
1007    fn share_inputs(
1008        &mut self,
1009        inputs: &HashMap<String, Array1<T>>,
1010    ) -> Result<HashMap<String, Vec<(usize, T)>>> {
1011        let mut shared_inputs = HashMap::new();
1012
1013        for (participant_id, input) in inputs {
1014            let mut participant_shares = Vec::new();
1015
1016            // Share each element of the input array
1017            for &value in input.iter() {
1018                let shares = self.secret_sharing.share_secret(value)?;
1019                participant_shares.extend(shares);
1020            }
1021
1022            shared_inputs.insert(participant_id.clone(), participant_shares);
1023        }
1024
1025        Ok(shared_inputs)
1026    }
1027
1028    /// Perform secure computation on shared inputs
1029    fn perform_secure_computation(
1030        &self,
1031        shared_inputs: &HashMap<String, Vec<(usize, T)>>,
1032        computation: SMPCComputation,
1033    ) -> Result<Vec<(usize, T)>> {
1034        match computation {
1035            SMPCComputation::Sum => self.secure_sum(shared_inputs),
1036            SMPCComputation::Average => self.secure_average(shared_inputs),
1037            SMPCComputation::WeightedSum(_) => self.secure_weighted_sum(shared_inputs),
1038            SMPCComputation::Custom(_) => self.secure_custom_computation(shared_inputs),
1039        }
1040    }
1041
1042    /// Secure sum computation
1043    fn secure_sum(
1044        &self,
1045        shared_inputs: &HashMap<String, Vec<(usize, T)>>,
1046    ) -> Result<Vec<(usize, T)>> {
1047        // Get the first participant's shares to determine structure
1048        let first_shares = shared_inputs
1049            .values()
1050            .next()
1051            .ok_or_else(|| OptimError::InvalidConfig("No shared _inputs provided".to_string()))?;
1052
1053        let mut result_shares = vec![(0usize, T::zero()); first_shares.len()];
1054
1055        // Add all shares element-wise
1056        for shares in shared_inputs.values() {
1057            for (i, &(share_idx, share_val)) in shares.iter().enumerate() {
1058                if i < result_shares.len() {
1059                    result_shares[i] = (share_idx, result_shares[i].1 + share_val);
1060                }
1061            }
1062        }
1063
1064        Ok(result_shares)
1065    }
1066
1067    /// Secure average computation
1068    fn secure_average(
1069        &self,
1070        shared_inputs: &HashMap<String, Vec<(usize, T)>>,
1071    ) -> Result<Vec<(usize, T)>> {
1072        let sum_shares = self.secure_sum(shared_inputs)?;
1073        let num_participants = T::from(shared_inputs.len()).unwrap();
1074
1075        // Divide by number of participants
1076        let avg_shares: Vec<(usize, T)> = sum_shares
1077            .into_iter()
1078            .map(|(idx, val)| (idx, val / num_participants))
1079            .collect();
1080
1081        Ok(avg_shares)
1082    }
1083
1084    /// Secure weighted sum computation
1085    fn secure_weighted_sum(
1086        &self,
1087        _shared_inputs: &HashMap<String, Vec<(usize, T)>>,
1088    ) -> Result<Vec<(usize, T)>> {
1089        // Placeholder for weighted sum implementation
1090        Err(OptimError::InvalidConfig(
1091            "Weighted sum not implemented yet".to_string(),
1092        ))
1093    }
1094
1095    /// Secure custom computation
1096    fn secure_custom_computation(
1097        &self,
1098        _shared_inputs: &HashMap<String, Vec<(usize, T)>>,
1099    ) -> Result<Vec<(usize, T)>> {
1100        // Placeholder for custom computation implementation
1101        Err(OptimError::InvalidConfig(
1102            "Custom computation not implemented yet".to_string(),
1103        ))
1104    }
1105
1106    /// Reconstruct output from shares
1107    fn reconstruct_output(&self, shares: &[(usize, T)]) -> Result<Array1<T>> {
1108        // For simplicity, assume shares represent a single value
1109        // In practice, would need to handle multi-dimensional reconstruction
1110        let reconstructed_value = self.secret_sharing.reconstruct_secret(shares)?;
1111        Ok(Array1::from(vec![reconstructed_value]))
1112    }
1113
1114    /// Generate proof of correct computation
1115    fn generate_computation_proof(
1116        &self,
1117        inputs: &HashMap<String, Array1<T>>,
1118        result: &Array1<T>,
1119    ) -> Result<ZKProof<T>> {
1120        // Combine all inputs for proof generation
1121        let combined_input = self.combine_inputs(inputs)?;
1122
1123        self.zk_proof_system
1124            .prove_computation(&combined_input, result, "SMPC aggregation")
1125    }
1126
1127    /// Combine inputs for proof generation
1128    fn combine_inputs(&self, inputs: &HashMap<String, Array1<T>>) -> Result<Array1<T>> {
1129        let mut combined = Vec::new();
1130
1131        for input in inputs.values() {
1132            combined.extend(input.iter().copied());
1133        }
1134
1135        Ok(Array1::from(combined))
1136    }
1137
1138    /// Get security guarantees
1139    fn get_security_guarantees(&self) -> SMPCSecurityGuarantees {
1140        SMPCSecurityGuarantees {
1141            protocol_variant: self.config.protocol_variant,
1142            communication_security: self.config.communication_security,
1143            malicious_tolerance: self.config.malicious_tolerance.max_corrupted,
1144            privacy_level: PrivacyLevel::InformationTheoretic,
1145            completeness: true,
1146            soundness: true,
1147        }
1148    }
1149}
1150
1151/// SMPC computation types
1152#[derive(Debug, Clone)]
1153pub enum SMPCComputation {
1154    /// Sum of all inputs
1155    Sum,
1156
1157    /// Average of all inputs
1158    Average,
1159
1160    /// Weighted sum with given weights
1161    WeightedSum(Vec<f64>),
1162
1163    /// Custom computation function
1164    Custom(String),
1165}
1166
1167/// SMPC computation result
1168#[derive(Debug, Clone)]
1169pub struct SMPCResult<T: Float + Debug + Send + Sync + 'static> {
1170    /// Computation result
1171    pub result: Array1<T>,
1172
1173    /// Zero-knowledge proof of correctness
1174    pub proof: ZKProof<T>,
1175
1176    /// Participating parties
1177    pub participating_parties: Vec<String>,
1178
1179    /// Security guarantees achieved
1180    pub security_guarantees: SMPCSecurityGuarantees,
1181}
1182
1183/// SMPC security guarantees
1184#[derive(Debug, Clone)]
1185pub struct SMPCSecurityGuarantees {
1186    /// Protocol variant used
1187    pub protocol_variant: SMPCProtocol,
1188
1189    /// Communication security level
1190    pub communication_security: CommunicationSecurity,
1191
1192    /// Number of malicious parties tolerated
1193    pub malicious_tolerance: usize,
1194
1195    /// Privacy level achieved
1196    pub privacy_level: PrivacyLevel,
1197
1198    /// Completeness guarantee
1199    pub completeness: bool,
1200
1201    /// Soundness guarantee
1202    pub soundness: bool,
1203}
1204
1205/// Privacy levels for SMPC
1206#[derive(Debug, Clone, Copy)]
1207pub enum PrivacyLevel {
1208    /// Computational privacy
1209    Computational,
1210
1211    /// Information-theoretic privacy
1212    InformationTheoretic,
1213
1214    /// Perfect privacy
1215    Perfect,
1216}
1217
1218#[cfg(test)]
1219mod tests {
1220    use super::*;
1221    use scirs2_core::ndarray::Array1;
1222
1223    #[test]
1224    fn test_secret_sharing() {
1225        let mut secret_sharing = ShamirSecretSharing::<f64>::new(3, 5);
1226        let secret = 42.0;
1227
1228        let shares = secret_sharing.share_secret(secret).unwrap();
1229        assert_eq!(shares.len(), 5);
1230
1231        let reconstructed = secret_sharing.reconstruct_secret(&shares[0..3]).unwrap();
1232        assert!((reconstructed - secret).abs() < 1e-10);
1233    }
1234
1235    #[test]
1236    fn test_smpc_config() {
1237        let config = SMPCConfig {
1238            num_participants: 5,
1239            threshold: 3,
1240            security_parameter: 128,
1241            enable_homomorphic: true,
1242            enable_zk_proofs: true,
1243            protocol_variant: SMPCProtocol::BGW,
1244            communication_security: CommunicationSecurity::SemiHonest,
1245            malicious_tolerance: MaliciousTolerance {
1246                max_corrupted: 1,
1247                byzantine_tolerance: true,
1248                verification_threshold: 0.8,
1249                commit_and_prove: true,
1250            },
1251        };
1252
1253        assert_eq!(config.num_participants, 5);
1254        assert_eq!(config.threshold, 3);
1255        assert!(config.enable_homomorphic);
1256    }
1257
1258    #[test]
1259    fn test_commitment_scheme() {
1260        let commitment_scheme = CommitmentScheme::<f64>::new();
1261        let data = Array1::from(vec![1.0, 2.0, 3.0]);
1262
1263        let commitment1 = commitment_scheme.commit(&data).unwrap();
1264        let commitment2 = commitment_scheme.commit(&data).unwrap();
1265
1266        // Same data should produce same commitment
1267        assert_eq!(commitment1, commitment2);
1268
1269        let different_data = Array1::from(vec![1.0, 2.0, 4.0]);
1270        let commitment3 = commitment_scheme.commit(&different_data).unwrap();
1271
1272        // Different data should produce different commitment
1273        assert_ne!(commitment1, commitment3);
1274    }
1275
1276    #[test]
1277    fn test_homomorphic_encryption() {
1278        let he = HomomorphicEngine::<f64>::new();
1279        let data1 = Array1::from(vec![1.0, 2.0, 3.0]);
1280        let data2 = Array1::from(vec![4.0, 5.0, 6.0]);
1281
1282        let encrypted1 = he.encrypt(&data1).unwrap();
1283        let encrypted2 = he.encrypt(&data2).unwrap();
1284
1285        let encrypted_sum = he.add_encrypted(&encrypted1, &encrypted2).unwrap();
1286        let decrypted_sum = he.decrypt(&encrypted_sum).unwrap();
1287
1288        // Note: This is a simplified test - real homomorphic encryption would preserve the sum
1289        assert_eq!(decrypted_sum.len(), 3);
1290    }
1291}