commonware_cryptography/secp256r1/
scheme.rs

1use crate::{Array, Error, Scheme};
2use commonware_utils::{hex, union_unique, SizedSerialize};
3use p256::{
4    ecdsa::{
5        signature::{Signer, Verifier},
6        SigningKey, VerifyingKey,
7    },
8    elliptic_curve::scalar::IsHigh,
9};
10use rand::{CryptoRng, Rng};
11use std::{
12    borrow::Cow,
13    fmt::{Debug, Display},
14    hash::{Hash, Hasher},
15    ops::Deref,
16};
17
18const PRIVATE_KEY_LENGTH: usize = 32;
19const PUBLIC_KEY_LENGTH: usize = 33; // Y-Parity || X
20const SIGNATURE_LENGTH: usize = 64; // R || S
21
22/// Secp256r1 Signer.
23#[derive(Clone)]
24pub struct Secp256r1 {
25    signer: SigningKey,
26    verifier: VerifyingKey,
27}
28
29impl Scheme for Secp256r1 {
30    type PrivateKey = PrivateKey;
31    type PublicKey = PublicKey;
32    type Signature = Signature;
33
34    fn new<R: CryptoRng + Rng>(r: &mut R) -> Self {
35        let signer = SigningKey::random(r);
36        let verifier = signer.verifying_key().to_owned();
37        Self { signer, verifier }
38    }
39
40    fn from(private_key: PrivateKey) -> Option<Self> {
41        let signer = private_key.key;
42        let verifier = signer.verifying_key().to_owned();
43        Some(Self { signer, verifier })
44    }
45
46    fn private_key(&self) -> PrivateKey {
47        PrivateKey::from(self.signer.clone())
48    }
49
50    fn public_key(&self) -> PublicKey {
51        PublicKey::from(self.verifier)
52    }
53
54    fn sign(&mut self, namespace: Option<&[u8]>, message: &[u8]) -> Signature {
55        let signature: p256::ecdsa::Signature = match namespace {
56            Some(namespace) => self.signer.sign(&union_unique(namespace, message)),
57            None => self.signer.sign(message),
58        };
59        let signature = match signature.normalize_s() {
60            Some(normalized) => normalized,
61            None => signature,
62        };
63        Signature::from(signature)
64    }
65
66    fn verify(
67        namespace: Option<&[u8]>,
68        message: &[u8],
69        public_key: &PublicKey,
70        signature: &Signature,
71    ) -> bool {
72        let payload = match namespace {
73            Some(namespace) => Cow::Owned(union_unique(namespace, message)),
74            None => Cow::Borrowed(message),
75        };
76        public_key
77            .key
78            .verify(&payload, &signature.signature)
79            .is_ok()
80    }
81}
82
83/// Secp256r1 Private Key.
84#[derive(Clone, Eq, PartialEq)]
85pub struct PrivateKey {
86    raw: [u8; PRIVATE_KEY_LENGTH],
87    key: SigningKey,
88}
89
90impl Array for PrivateKey {
91    type Error = Error;
92}
93
94impl SizedSerialize for PrivateKey {
95    const SERIALIZED_LEN: usize = PRIVATE_KEY_LENGTH;
96}
97
98impl Hash for PrivateKey {
99    fn hash<H: Hasher>(&self, state: &mut H) {
100        self.raw.hash(state);
101    }
102}
103
104impl Ord for PrivateKey {
105    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
106        self.raw.cmp(&other.raw)
107    }
108}
109
110impl PartialOrd for PrivateKey {
111    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
112        Some(self.cmp(other))
113    }
114}
115
116impl AsRef<[u8]> for PrivateKey {
117    fn as_ref(&self) -> &[u8] {
118        &self.raw
119    }
120}
121
122impl Deref for PrivateKey {
123    type Target = [u8];
124    fn deref(&self) -> &[u8] {
125        &self.raw
126    }
127}
128
129impl From<SigningKey> for PrivateKey {
130    fn from(signer: SigningKey) -> Self {
131        let raw = signer.to_bytes().into();
132        Self { raw, key: signer }
133    }
134}
135
136impl TryFrom<&[u8]> for PrivateKey {
137    type Error = Error;
138    fn try_from(value: &[u8]) -> Result<Self, Self::Error> {
139        let raw: [u8; PRIVATE_KEY_LENGTH] = value
140            .try_into()
141            .map_err(|_| Error::InvalidPrivateKeyLength)?;
142        let key = SigningKey::from_slice(&raw).map_err(|_| Error::InvalidPrivateKey)?;
143        Ok(Self { raw, key })
144    }
145}
146
147impl TryFrom<&Vec<u8>> for PrivateKey {
148    type Error = Error;
149    fn try_from(value: &Vec<u8>) -> Result<Self, Self::Error> {
150        Self::try_from(value.as_slice())
151    }
152}
153
154impl TryFrom<Vec<u8>> for PrivateKey {
155    type Error = Error;
156    fn try_from(value: Vec<u8>) -> Result<Self, Self::Error> {
157        Self::try_from(value.as_slice())
158    }
159}
160
161impl Debug for PrivateKey {
162    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
163        write!(f, "{}", hex(&self.raw))
164    }
165}
166
167impl Display for PrivateKey {
168    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
169        write!(f, "{}", hex(&self.raw))
170    }
171}
172
173/// Secp256r1 Public Key.
174#[derive(Clone, Eq, PartialEq, Ord, PartialOrd)]
175pub struct PublicKey {
176    raw: [u8; PUBLIC_KEY_LENGTH],
177    key: VerifyingKey,
178}
179
180impl Array for PublicKey {
181    type Error = Error;
182}
183
184impl SizedSerialize for PublicKey {
185    const SERIALIZED_LEN: usize = PUBLIC_KEY_LENGTH;
186}
187
188impl Hash for PublicKey {
189    fn hash<H: Hasher>(&self, state: &mut H) {
190        self.raw.hash(state);
191    }
192}
193
194impl AsRef<[u8]> for PublicKey {
195    fn as_ref(&self) -> &[u8] {
196        &self.raw
197    }
198}
199
200impl Deref for PublicKey {
201    type Target = [u8];
202    fn deref(&self) -> &[u8] {
203        &self.raw
204    }
205}
206
207impl From<VerifyingKey> for PublicKey {
208    fn from(verifier: VerifyingKey) -> Self {
209        let encoded = verifier.to_encoded_point(true);
210        let raw: [u8; PUBLIC_KEY_LENGTH] = encoded.as_bytes().try_into().unwrap();
211        Self { raw, key: verifier }
212    }
213}
214
215impl TryFrom<&[u8]> for PublicKey {
216    type Error = Error;
217    fn try_from(value: &[u8]) -> Result<Self, Self::Error> {
218        let raw: [u8; PUBLIC_KEY_LENGTH] = value
219            .try_into()
220            .map_err(|_| Error::InvalidPublicKeyLength)?;
221        let key = VerifyingKey::from_sec1_bytes(&raw).map_err(|_| Error::InvalidPublicKey)?;
222        Ok(Self { raw, key })
223    }
224}
225
226impl TryFrom<&Vec<u8>> for PublicKey {
227    type Error = Error;
228    fn try_from(value: &Vec<u8>) -> Result<Self, Self::Error> {
229        Self::try_from(value.as_slice())
230    }
231}
232
233impl TryFrom<Vec<u8>> for PublicKey {
234    type Error = Error;
235    fn try_from(value: Vec<u8>) -> Result<Self, Self::Error> {
236        Self::try_from(value.as_slice())
237    }
238}
239
240impl Debug for PublicKey {
241    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
242        write!(f, "{}", hex(&self.raw))
243    }
244}
245
246impl Display for PublicKey {
247    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
248        write!(f, "{}", hex(&self.raw))
249    }
250}
251
252/// Secp256r1 Signature.
253#[derive(Clone, Eq, PartialEq)]
254pub struct Signature {
255    raw: [u8; SIGNATURE_LENGTH],
256    signature: p256::ecdsa::Signature,
257}
258
259impl Array for Signature {
260    type Error = Error;
261}
262
263impl SizedSerialize for Signature {
264    const SERIALIZED_LEN: usize = SIGNATURE_LENGTH;
265}
266
267impl Hash for Signature {
268    fn hash<H: Hasher>(&self, state: &mut H) {
269        self.raw.hash(state);
270    }
271}
272
273impl Ord for Signature {
274    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
275        self.raw.cmp(&other.raw)
276    }
277}
278
279impl PartialOrd for Signature {
280    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
281        Some(self.cmp(other))
282    }
283}
284
285impl AsRef<[u8]> for Signature {
286    fn as_ref(&self) -> &[u8] {
287        &self.raw
288    }
289}
290
291impl Deref for Signature {
292    type Target = [u8];
293    fn deref(&self) -> &[u8] {
294        &self.raw
295    }
296}
297
298impl From<p256::ecdsa::Signature> for Signature {
299    fn from(signature: p256::ecdsa::Signature) -> Self {
300        let raw = signature.to_bytes().into();
301        Self { raw, signature }
302    }
303}
304
305impl TryFrom<&[u8]> for Signature {
306    type Error = Error;
307    fn try_from(value: &[u8]) -> Result<Self, Self::Error> {
308        let raw: [u8; SIGNATURE_LENGTH] = value
309            .try_into()
310            .map_err(|_| Error::InvalidSignatureLength)?;
311        let signature =
312            p256::ecdsa::Signature::from_slice(&raw).map_err(|_| Error::InvalidSignature)?;
313        if signature.s().is_high().into() {
314            // Reject any signatures with a `s` value in the upper half of the curve order.
315            return Err(Error::InvalidSignature);
316        }
317        Ok(Self { raw, signature })
318    }
319}
320
321impl TryFrom<&Vec<u8>> for Signature {
322    type Error = Error;
323    fn try_from(value: &Vec<u8>) -> Result<Self, Self::Error> {
324        Self::try_from(value.as_slice())
325    }
326}
327
328impl TryFrom<Vec<u8>> for Signature {
329    type Error = Error;
330    fn try_from(value: Vec<u8>) -> Result<Self, Self::Error> {
331        Self::try_from(value.as_slice())
332    }
333}
334
335impl Debug for Signature {
336    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
337        write!(f, "{}", hex(&self.raw))
338    }
339}
340
341impl Display for Signature {
342    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
343        write!(f, "{}", hex(&self.raw))
344    }
345}
346
347/// Test vectors sourced from (FIPS 186-4)
348/// https://csrc.nist.gov/projects/cryptographic-algorithm-validation-program/digital-signatures.
349#[cfg(test)]
350mod tests {
351    use super::*;
352
353    fn parse_vector_keypair(private_key: &str, qx: &str, qy: &str) -> (PrivateKey, PublicKey) {
354        let public_key = parse_public_key_as_compressed(qx, qy);
355        (
356            commonware_utils::from_hex_formatted(private_key)
357                .unwrap()
358                .try_into()
359                .unwrap(),
360            public_key,
361        )
362    }
363
364    fn parse_vector_sig_verification(
365        qx: &str,
366        qy: &str,
367        r: &str,
368        s: &str,
369        m: &str,
370    ) -> (PublicKey, Vec<u8>, Vec<u8>) {
371        let public_key = parse_public_key_as_compressed(qx, qy);
372        let signature = parse_signature(r, s);
373        let message = commonware_utils::from_hex_formatted(m).unwrap();
374        (public_key, signature, message)
375    }
376
377    fn parse_signature(r: &str, s: &str) -> Vec<u8> {
378        let vec_r = commonware_utils::from_hex_formatted(r).unwrap();
379        let vec_s = commonware_utils::from_hex_formatted(s).unwrap();
380        let f1 = p256::FieldBytes::from_slice(&vec_r);
381        let f2 = p256::FieldBytes::from_slice(&vec_s);
382        let s = p256::ecdsa::Signature::from_scalars(*f1, *f2).unwrap();
383        s.to_vec()
384    }
385
386    fn parse_public_key_as_compressed(qx: &str, qy: &str) -> PublicKey {
387        parse_public_key_as_compressed_vector(qx, qy)
388            .try_into()
389            .unwrap()
390    }
391
392    fn parse_public_key_as_compressed_vector(qx: &str, qy: &str) -> Vec<u8> {
393        let qx = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qx)).unwrap();
394        let qy = commonware_utils::from_hex_formatted(&padding_odd_length_hex(qy)).unwrap();
395        let mut compressed = Vec::with_capacity(qx.len() + 1);
396        if qy.last().unwrap() % 2 == 0 {
397            compressed.push(0x02);
398        } else {
399            compressed.push(0x03);
400        }
401        compressed.extend_from_slice(&qx);
402        compressed
403    }
404
405    fn parse_public_key_as_uncompressed_vector(qx: &str, qy: &str) -> Vec<u8> {
406        let qx = commonware_utils::from_hex_formatted(qx).unwrap();
407        let qy = commonware_utils::from_hex_formatted(qy).unwrap();
408        let mut uncompressed_public_key = Vec::with_capacity(65);
409        uncompressed_public_key.push(0x04);
410        uncompressed_public_key.extend_from_slice(&qx);
411        uncompressed_public_key.extend_from_slice(&qy);
412        uncompressed_public_key
413    }
414
415    fn padding_odd_length_hex(value: &str) -> String {
416        if value.len() % 2 != 0 {
417            return format!("0{}", value);
418        }
419        value.to_string()
420    }
421
422    #[test]
423    fn test_scheme_sign() {
424        let private_key: PrivateKey = commonware_utils::from_hex_formatted(
425            "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464",
426        )
427        .unwrap()
428        .try_into()
429        .unwrap();
430        let message = commonware_utils::from_hex_formatted(
431            "5905238877c77421f73e43ee3da6f2d9e2ccad5fc942dcec0cbd25482935faaf416983fe165b1a045e
432            e2bcd2e6dca3bdf46c4310a7461f9a37960ca672d3feb5473e253605fb1ddfd28065b53cb5858a8ad28175bf
433            9bd386a5e471ea7a65c17cc934a9d791e91491eb3754d03799790fe2d308d16146d5c9b0d0debd97d79ce8",
434        )
435        .unwrap();
436        let mut signer = <Secp256r1 as Scheme>::from(private_key).unwrap();
437        let signature = signer.sign(None, &message);
438        assert_eq!(SIGNATURE_LENGTH, signature.len());
439        assert!(Secp256r1::verify(
440            None,
441            &message,
442            &signer.public_key(),
443            &signature
444        ));
445    }
446
447    #[test]
448    fn test_scheme_private_key() {
449        let private_key_hex = "519b423d715f8b581f4fa8ee59f4771a5b44c8130b4e3eacca54a56dda72b464";
450        let private_key: PrivateKey = commonware_utils::from_hex_formatted(private_key_hex)
451            .unwrap()
452            .try_into()
453            .unwrap();
454        let signer = <Secp256r1 as Scheme>::from(private_key).unwrap();
455        let exported_private_key = signer.private_key();
456        assert_eq!(
457            private_key_hex,
458            commonware_utils::hex(&exported_private_key).as_str(),
459        );
460    }
461
462    // Ensure RFC6979 compliance (should also be tested by underlying library)
463    #[test]
464    fn test_rfc6979() {
465        let private_key: PrivateKey = commonware_utils::from_hex_formatted(
466            "c9afa9d845ba75166b5c215767b1d6934e50c3db36e89b127b8a622b120f6721",
467        )
468        .unwrap()
469        .try_into()
470        .unwrap();
471
472        let (message, exp_sig) = (
473            b"sample",
474            p256::ecdsa::Signature::from_slice(
475                &commonware_utils::from_hex_formatted(
476                    "efd48b2aacb6a8fd1140dd9cd45e81d69d2c877b56aaf991c34d0ea84eaf3716
477                    f7cb1c942d657c41d436c7a1b6e29f65f3e900dbb9aff4064dc4ab2f843acda8",
478                )
479                .unwrap(),
480            )
481            .unwrap(),
482        );
483        let mut signer = <Secp256r1 as Scheme>::from(private_key).unwrap();
484        let signature = signer.sign(None, message);
485        assert_eq!(signature.to_vec(), exp_sig.normalize_s().unwrap().to_vec());
486
487        let (message, exp_sig) = (
488            b"test",
489            p256::ecdsa::Signature::from_slice(
490                &commonware_utils::from_hex_formatted(
491                    "f1abb023518351cd71d881567b1ea663ed3efcf6c5132b354f28d3b0b7d38367
492                    019f4113742a2b14bd25926b49c649155f267e60d3814b4c0cc84250e46f0083",
493                )
494                .unwrap(),
495            )
496            .unwrap(),
497        );
498
499        let signature = signer.sign(None, message);
500        assert_eq!(signature.to_vec(), exp_sig.to_vec());
501    }
502
503    #[test]
504    fn test_scheme_validate_public_key_too_long() {
505        let qx_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
506        let qy_hex = "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f";
507
508        let uncompressed_public_key = parse_public_key_as_uncompressed_vector(qx_hex, qy_hex);
509        let public_key = <Secp256r1 as Scheme>::PublicKey::try_from(&uncompressed_public_key);
510        assert_eq!(public_key, Err(Error::InvalidPublicKeyLength));
511
512        let compressed_public_key = parse_public_key_as_compressed_vector(qx_hex, qy_hex);
513        let public_key = <Secp256r1 as Scheme>::PublicKey::try_from(&compressed_public_key);
514        assert!(public_key.is_ok());
515    }
516
517    #[test]
518    fn test_scheme_verify_signature_r0() {
519        // Generate bad signature
520        let private_key: PrivateKey = commonware_utils::from_hex_formatted(
521            "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
522        )
523        .unwrap()
524        .try_into()
525        .unwrap();
526        let message = b"sample";
527        let mut signer = <Secp256r1 as Scheme>::from(private_key).unwrap();
528        let signature = signer.sign(None, message);
529        let (_, s) = signature.split_at(32);
530        let mut signature: Vec<u8> = vec![0x00; 32];
531        signature.extend_from_slice(s);
532
533        // Try to parse signature
534        assert!(Signature::try_from(&signature).is_err());
535    }
536
537    #[test]
538    fn test_scheme_verify_signature_s0() {
539        // Generate bad signature
540        let private_key: PrivateKey = commonware_utils::from_hex_formatted(
541            "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
542        )
543        .unwrap()
544        .try_into()
545        .unwrap();
546        let message = b"sample";
547        let mut signer = <Secp256r1 as Scheme>::from(private_key).unwrap();
548        let signature = signer.sign(None, message);
549        let (r, _) = signature.split_at(32);
550        let s: Vec<u8> = vec![0x00; 32];
551        let mut signature = r.to_vec();
552        signature.extend(s);
553
554        // Try to parse signature
555        assert!(Signature::try_from(&signature).is_err());
556    }
557
558    #[test]
559    fn test_keypairs() {
560        let cases = [
561            vector_keypair_1(),
562            vector_keypair_2(),
563            vector_keypair_3(),
564            vector_keypair_4(),
565            vector_keypair_5(),
566            vector_keypair_6(),
567            vector_keypair_7(),
568            vector_keypair_8(),
569            vector_keypair_9(),
570            vector_keypair_10(),
571        ];
572
573        for (index, test) in cases.into_iter().enumerate() {
574            let (private_key, exp_public_key) = test;
575            let signer = <Secp256r1 as Scheme>::from(private_key).unwrap();
576            assert_eq!(
577                exp_public_key,
578                signer.public_key(),
579                "vector_keypair_{}",
580                index + 1
581            );
582            assert!(signer.public_key().len() == PUBLIC_KEY_LENGTH);
583        }
584    }
585
586    #[test]
587    fn test_public_key_validation() {
588        // We use SEC 1-encoded public keys (only include y-parity) whereas vectors
589        // assume public keys are uncompressed (both x and y packed in encoding).
590        //
591        // For this reason, test vector 2 (y out of range) and 11 (y not on curve) are skipped.
592        let cases = [
593            (1, vector_public_key_validation_1()),
594            (3, vector_public_key_validation_3()),
595            (4, vector_public_key_validation_4()),
596            (5, vector_public_key_validation_5()),
597            (6, vector_public_key_validation_6()),
598            (7, vector_public_key_validation_7()),
599            (8, vector_public_key_validation_8()),
600            (9, vector_public_key_validation_9()),
601            (10, vector_public_key_validation_10()),
602            (12, vector_public_key_validation_12()),
603        ];
604
605        for (n, test) in cases.iter() {
606            let (public_key, exp_valid) = test;
607            let res = <Secp256r1 as Scheme>::PublicKey::try_from(public_key);
608            assert_eq!(
609                *exp_valid,
610                res.is_ok(),
611                "vector_public_key_validation_{}",
612                n
613            );
614        }
615    }
616
617    #[test]
618    fn test_signature_verification() {
619        let cases = [
620            vector_sig_verification_1(),
621            vector_sig_verification_2(),
622            vector_sig_verification_3(),
623            vector_sig_verification_4(),
624            vector_sig_verification_5(),
625            vector_sig_verification_6(),
626            vector_sig_verification_7(),
627            vector_sig_verification_8(),
628            vector_sig_verification_9(),
629            vector_sig_verification_10(),
630            vector_sig_verification_11(),
631            vector_sig_verification_12(),
632            vector_sig_verification_13(),
633            vector_sig_verification_14(),
634            vector_sig_verification_15(),
635        ];
636
637        for (index, test) in cases.into_iter().enumerate() {
638            let (public_key, sig, message, expected) = test;
639            let expected = if expected {
640                let mut ecdsa_signature = p256::ecdsa::Signature::from_slice(&sig).unwrap();
641                if ecdsa_signature.s().is_high().into() {
642                    // Valid signatures not normalized must be considered invalid.
643                    assert!(Signature::try_from(sig).is_err());
644
645                    // Normalizing sig to test its validity.
646                    if let Some(normalized_sig) = ecdsa_signature.normalize_s() {
647                        ecdsa_signature = normalized_sig;
648                    }
649                }
650                let signature = Signature::from(ecdsa_signature);
651                Secp256r1::verify(None, &message, &public_key, &signature)
652            } else {
653                let signature = Signature::try_from(sig);
654                signature.is_err()
655                    || !Secp256r1::verify(None, &message, &public_key, &signature.unwrap())
656            };
657            assert!(expected, "vector_signature_verification_{}", index + 1);
658        }
659    }
660
661    fn vector_keypair_1() -> (PrivateKey, PublicKey) {
662        parse_vector_keypair(
663            "c9806898a0334916c860748880a541f093b579a9b1f32934d86c363c39800357",
664            "d0720dc691aa80096ba32fed1cb97c2b620690d06de0317b8618d5ce65eb728f",
665            "9681b517b1cda17d0d83d335d9c4a8a9a9b0b1b3c7106d8f3c72bc5093dc275f",
666        )
667    }
668
669    fn vector_keypair_2() -> (PrivateKey, PublicKey) {
670        parse_vector_keypair(
671            "710735c8388f48c684a97bd66751cc5f5a122d6b9a96a2dbe73662f78217446d",
672            "f6836a8add91cb182d8d258dda6680690eb724a66dc3bb60d2322565c39e4ab9",
673            "1f837aa32864870cb8e8d0ac2ff31f824e7beddc4bb7ad72c173ad974b289dc2",
674        )
675    }
676
677    fn vector_keypair_3() -> (PrivateKey, PublicKey) {
678        parse_vector_keypair(
679            "78d5d8b7b3e2c16b3e37e7e63becd8ceff61e2ce618757f514620ada8a11f6e4",
680            "76711126cbb2af4f6a5fe5665dad4c88d27b6cb018879e03e54f779f203a854e",
681            "a26df39960ab5248fd3620fd018398e788bd89a3cea509b352452b69811e6856",
682        )
683    }
684
685    fn vector_keypair_4() -> (PrivateKey, PublicKey) {
686        parse_vector_keypair(
687            "2a61a0703860585fe17420c244e1de5a6ac8c25146b208ef88ad51ae34c8cb8c",
688            "e1aa7196ceeac088aaddeeba037abb18f67e1b55c0a5c4e71ec70ad666fcddc8",
689            "d7d35bdce6dedc5de98a7ecb27a9cd066a08f586a733b59f5a2cdb54f971d5c8",
690        )
691    }
692
693    fn vector_keypair_5() -> (PrivateKey, PublicKey) {
694        parse_vector_keypair(
695            "01b965b45ff386f28c121c077f1d7b2710acc6b0cb58d8662d549391dcf5a883",
696            "1f038c5422e88eec9e88b815e8f6b3e50852333fc423134348fc7d79ef8e8a10",
697            "43a047cb20e94b4ffb361ef68952b004c0700b2962e0c0635a70269bc789b849",
698        )
699    }
700
701    fn vector_keypair_6() -> (PrivateKey, PublicKey) {
702        parse_vector_keypair(
703            "fac92c13d374c53a085376fe4101618e1e181b5a63816a84a0648f3bdc24e519",
704            "7258f2ab96fc84ef6ccb33e308cd392d8b568ea635730ceb4ebd72fa870583b9",
705            "489807ca55bdc29ca5c8fe69b94f227b0345cccdbe89975e75d385cc2f6bb1e2",
706        )
707    }
708
709    fn vector_keypair_7() -> (PrivateKey, PublicKey) {
710        parse_vector_keypair(
711            "f257a192dde44227b3568008ff73bcf599a5c45b32ab523b5b21ca582fef5a0a",
712            "d2e01411817b5512b79bbbe14d606040a4c90deb09e827d25b9f2fc068997872",
713            "503f138f8bab1df2c4507ff663a1fdf7f710e7adb8e7841eaa902703e314e793",
714        )
715    }
716
717    fn vector_keypair_8() -> (PrivateKey, PublicKey) {
718        parse_vector_keypair(
719            "add67e57c42a3d28708f0235eb86885a4ea68e0d8cfd76eb46134c596522abfd",
720            "55bed2d9c029b7f230bde934c7124ed52b1330856f13cbac65a746f9175f85d7",
721            "32805e311d583b4e007c40668185e85323948e21912b6b0d2cda8557389ae7b0",
722        )
723    }
724
725    fn vector_keypair_9() -> (PrivateKey, PublicKey) {
726        parse_vector_keypair(
727            "4494860fd2c805c5c0d277e58f802cff6d731f76314eb1554142a637a9bc5538",
728            "5190277a0c14d8a3d289292f8a544ce6ea9183200e51aec08440e0c1a463a4e4",
729            "ecd98514821bd5aaf3419ab79b71780569470e4fed3da3c1353b28fe137f36eb",
730        )
731    }
732
733    fn vector_keypair_10() -> (PrivateKey, PublicKey) {
734        parse_vector_keypair(
735            "d40b07b1ea7b86d4709ef9dc634c61229feb71abd63dc7fc85ef46711a87b210",
736            "fbcea7c2827e0e8085d7707b23a3728823ea6f4878b24747fb4fd2842d406c73",
737            "2393c85f1f710c5afc115a39ba7e18abe03f19c9d4bb3d47d19468b818efa535",
738        )
739    }
740
741    fn vector_public_key_validation_1() -> (Vec<u8>, bool) {
742        (
743            parse_public_key_as_compressed_vector(
744                "e0f7449c5588f24492c338f2bc8f7865f755b958d48edb0f2d0056e50c3fd5b7",
745                "86d7e9255d0f4b6f44fa2cd6f8ba3c0aa828321d6d8cc430ca6284ce1d5b43a0",
746            ),
747            true,
748        )
749    }
750
751    fn vector_public_key_validation_3() -> (Vec<u8>, bool) {
752        (
753            parse_public_key_as_compressed_vector(
754                "17875397ae87369365656d490e8ce956911bd97607f2aff41b56f6f3a61989826",
755                "980a3c4f61b9692633fbba5ef04c9cb546dd05cdec9fa8428b8849670e2fba92",
756            ),
757            false, // x out of range
758        )
759    }
760
761    fn vector_public_key_validation_4() -> (Vec<u8>, bool) {
762        (
763            parse_public_key_as_compressed_vector(
764                "f2d1c0dc0852c3d8a2a2500a23a44813ccce1ac4e58444175b440469ffc12273",
765                "32bfe992831b305d8c37b9672df5d29fcb5c29b4a40534683e3ace23d24647dd",
766            ),
767            false, // point not on the curve
768        )
769    }
770
771    fn vector_public_key_validation_5() -> (Vec<u8>, bool) {
772        (
773            parse_public_key_as_compressed_vector(
774                "10b0ca230fff7c04768f4b3d5c75fa9f6c539bea644dffbec5dc796a213061b58",
775                "f5edf37c11052b75f771b7f9fa050e353e464221fec916684ed45b6fead38205",
776            ),
777            false, // x out of range
778        )
779    }
780
781    fn vector_public_key_validation_6() -> (Vec<u8>, bool) {
782        (
783            parse_public_key_as_compressed_vector(
784                "2c1052f25360a15062d204a056274e93cbe8fc4c4e9b9561134ad5c15ce525da",
785                "ced9783713a8a2a09eff366987639c625753295d9a85d0f5325e32dedbcada0b",
786            ),
787            true,
788        )
789    }
790
791    fn vector_public_key_validation_7() -> (Vec<u8>, bool) {
792        (
793            parse_public_key_as_compressed_vector(
794                "a40d077a87dae157d93dcccf3fe3aca9c6479a75aa2669509d2ef05c7de6782f",
795                "503d86b87d743ba20804fd7e7884aa017414a7b5b5963e0d46e3a9611419ddf3",
796            ),
797            false, // point not on the curve
798        )
799    }
800
801    fn vector_public_key_validation_8() -> (Vec<u8>, bool) {
802        (
803            parse_public_key_as_compressed_vector(
804                "2633d398a3807b1895548adbb0ea2495ef4b930f91054891030817df87d4ac0a",
805                "d6b2f738e3873cc8364a2d364038ce7d0798bb092e3dd77cbdae7c263ba618d2",
806            ),
807            true,
808        )
809    }
810
811    fn vector_public_key_validation_9() -> (Vec<u8>, bool) {
812        (
813            parse_public_key_as_compressed_vector(
814                "14bf57f76c260b51ec6bbc72dbd49f02a56eaed070b774dc4bad75a54653c3d56",
815                "7a231a23bf8b3aa31d9600d888a0678677a30e573decd3dc56b33f365cc11236",
816            ),
817            false, // x out of range
818        )
819    }
820
821    fn vector_public_key_validation_10() -> (Vec<u8>, bool) {
822        (
823            parse_public_key_as_compressed_vector(
824                "2fa74931ae816b426f484180e517f5050c92decfc8daf756cd91f54d51b302f1",
825                "5b994346137988c58c14ae2152ac2f6ad96d97decb33099bd8a0210114cd1141",
826            ),
827            true,
828        )
829    }
830
831    fn vector_public_key_validation_12() -> (Vec<u8>, bool) {
832        (
833            parse_public_key_as_compressed_vector(
834                "7a81a7e0b015252928d8b36e4ca37e92fdc328eb25c774b4f872693028c4be38",
835                "08862f7335147261e7b1c3d055f9a316e4cab7daf99cc09d1c647f5dd6e7d5bb",
836            ),
837            false, // point not on the curve
838        )
839    }
840
841    fn vector_sig_verification_1() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
842        let (public_key, sig, message) = parse_vector_sig_verification(
843            "87f8f2b218f49845f6f10eec3877136269f5c1a54736dbdf69f89940cad41555",
844            "e15f369036f49842fac7a86c8a2b0557609776814448b8f5e84aa9f4395205e9",
845            "d19ff48b324915576416097d2544f7cbdf8768b1454ad20e0baac50e211f23b0",
846            "a3e81e59311cdfff2d4784949f7a2cb50ba6c3a91fa54710568e61aca3e847c6",
847            "e4796db5f785f207aa30d311693b3702821dff1168fd2e04c0836825aefd850d9aa60326d88cde1a23c7
848            745351392ca2288d632c264f197d05cd424a30336c19fd09bb229654f0222fcb881a4b35c290a093ac159ce1
849            3409111ff0358411133c24f5b8e2090d6db6558afc36f06ca1f6ef779785adba68db27a409859fc4c4a0",
850        );
851        (public_key, sig, message, false)
852    }
853
854    fn vector_sig_verification_2() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
855        let (public_key, sig, message) = parse_vector_sig_verification(
856            "5cf02a00d205bdfee2016f7421807fc38ae69e6b7ccd064ee689fc1a94a9f7d2",
857            "ec530ce3cc5c9d1af463f264d685afe2b4db4b5828d7e61b748930f3ce622a85",
858            "dc23d130c6117fb5751201455e99f36f59aba1a6a21cf2d0e7481a97451d6693",
859            "d6ce7708c18dbf35d4f8aa7240922dc6823f2e7058cbc1484fcad1599db5018c",
860            "069a6e6b93dfee6df6ef6997cd80dd2182c36653cef10c655d524585655462d683877f95ecc6d6c81623
861            d8fac4e900ed0019964094e7de91f1481989ae1873004565789cbf5dc56c62aedc63f62f3b894c9c6f7788c8
862            ecaadc9bd0e81ad91b2b3569ea12260e93924fdddd3972af5273198f5efda0746219475017557616170e",
863        );
864        (public_key, sig, message, false)
865    }
866
867    fn vector_sig_verification_3() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
868        let (public_key, sig, message) = parse_vector_sig_verification(
869            "2ddfd145767883ffbb0ac003ab4a44346d08fa2570b3120dcce94562422244cb",
870            "5f70c7d11ac2b7a435ccfbbae02c3df1ea6b532cc0e9db74f93fffca7c6f9a64",
871            "9913111cff6f20c5bf453a99cd2c2019a4e749a49724a08774d14e4c113edda8",
872            "9467cd4cd21ecb56b0cab0a9a453b43386845459127a952421f5c6382866c5cc",
873            "df04a346cf4d0e331a6db78cca2d456d31b0a000aa51441defdb97bbeb20b94d8d746429a393ba88840d
874            661615e07def615a342abedfa4ce912e562af714959896858af817317a840dcff85a057bb91a3c2bf9010550
875            0362754a6dd321cdd86128cfc5f04667b57aa78c112411e42da304f1012d48cd6a7052d7de44ebcc01de",
876        );
877        (public_key, sig, message, false)
878    }
879
880    fn vector_sig_verification_4() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
881        let (public_key, sig, message) = parse_vector_sig_verification(
882            "e424dc61d4bb3cb7ef4344a7f8957a0c5134e16f7a67c074f82e6e12f49abf3c",
883            "970eed7aa2bc48651545949de1dddaf0127e5965ac85d1243d6f60e7dfaee927",
884            "bf96b99aa49c705c910be33142017c642ff540c76349b9dab72f981fd9347f4f",
885            "17c55095819089c2e03b9cd415abdf12444e323075d98f31920b9e0f57ec871c",
886            "e1130af6a38ccb412a9c8d13e15dbfc9e69a16385af3c3f1e5da954fd5e7c45fd75e2b8c36699228e928
887            40c0562fbf3772f07e17f1add56588dd45f7450e1217ad239922dd9c32695dc71ff2424ca0dec1321aa47064
888            a044b7fe3c2b97d03ce470a592304c5ef21eed9f93da56bb232d1eeb0035f9bf0dfafdcc4606272b20a3",
889        );
890        (public_key, sig, message, true)
891    }
892
893    fn vector_sig_verification_5() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
894        let (public_key, sig, message) = parse_vector_sig_verification(
895            "e0fc6a6f50e1c57475673ee54e3a57f9a49f3328e743bf52f335e3eeaa3d2864",
896            "7f59d689c91e463607d9194d99faf316e25432870816dde63f5d4b373f12f22a",
897            "1d75830cd36f4c9aa181b2c4221e87f176b7f05b7c87824e82e396c88315c407",
898            "cb2acb01dac96efc53a32d4a0d85d0c2e48955214783ecf50a4f0414a319c05a",
899            "73c5f6a67456ae48209b5f85d1e7de7758bf235300c6ae2bdceb1dcb27a7730fb68c950b7fcada0ecc46
900            61d3578230f225a875e69aaa17f1e71c6be5c831f22663bac63d0c7a9635edb0043ff8c6f26470f02a7bc565
901            56f1437f06dfa27b487a6c4290d8bad38d4879b334e341ba092dde4e4ae694a9c09302e2dbf443581c08",
902        );
903        // Valid vector we switch to invalid as the signature is not normalized.
904        (public_key, sig, message, true)
905    }
906
907    fn vector_sig_verification_6() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
908        let (public_key, sig, message) = parse_vector_sig_verification(
909            "a849bef575cac3c6920fbce675c3b787136209f855de19ffe2e8d29b31a5ad86",
910            "bf5fe4f7858f9b805bd8dcc05ad5e7fb889de2f822f3d8b41694e6c55c16b471",
911            "25acc3aa9d9e84c7abf08f73fa4195acc506491d6fc37cb9074528a7db87b9d6",
912            "9b21d5b5259ed3f2ef07dfec6cc90d3a37855d1ce122a85ba6a333f307d31537",
913            "666036d9b4a2426ed6585a4e0fd931a8761451d29ab04bd7dc6d0c5b9e38e6c2b263ff6cb837bd04399d
914            e3d757c6c7005f6d7a987063cf6d7e8cb38a4bf0d74a282572bd01d0f41e3fd066e3021575f0fa04f27b700d
915            5b7ddddf50965993c3f9c7118ed78888da7cb221849b3260592b8e632d7c51e935a0ceae15207bedd548",
916        );
917        (public_key, sig, message, false)
918    }
919
920    fn vector_sig_verification_7() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
921        let (public_key, sig, message) = parse_vector_sig_verification(
922            "3dfb6f40f2471b29b77fdccba72d37c21bba019efa40c1c8f91ec405d7dcc5df",
923            "f22f953f1e395a52ead7f3ae3fc47451b438117b1e04d613bc8555b7d6e6d1bb",
924            "548886278e5ec26bed811dbb72db1e154b6f17be70deb1b210107decb1ec2a5a",
925            "e93bfebd2f14f3d827ca32b464be6e69187f5edbd52def4f96599c37d58eee75",
926            "7e80436bce57339ce8da1b5660149a20240b146d108deef3ec5da4ae256f8f894edcbbc57b34ce37089c
927            0daa17f0c46cd82b5a1599314fd79d2fd2f446bd5a25b8e32fcf05b76d644573a6df4ad1dfea707b479d9723
928            7a346f1ec632ea5660efb57e8717a8628d7f82af50a4e84b11f21bdff6839196a880ae20b2a0918d58cd",
929        );
930        (public_key, sig, message, false)
931    }
932
933    fn vector_sig_verification_8() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
934        let (public_key, sig, message) = parse_vector_sig_verification(
935            "69b7667056e1e11d6caf6e45643f8b21e7a4bebda463c7fdbc13bc98efbd0214",
936            "d3f9b12eb46c7c6fda0da3fc85bc1fd831557f9abc902a3be3cb3e8be7d1aa2f",
937            "288f7a1cd391842cce21f00e6f15471c04dc182fe4b14d92dc18910879799790",
938            "247b3c4e89a3bcadfea73c7bfd361def43715fa382b8c3edf4ae15d6e55e9979",
939            "1669bfb657fdc62c3ddd63269787fc1c969f1850fb04c933dda063ef74a56ce13e3a649700820f0061ef
940            abf849a85d474326c8a541d99830eea8131eaea584f22d88c353965dabcdc4bf6b55949fd529507dfb803ab6
941            b480cd73ca0ba00ca19c438849e2cea262a1c57d8f81cd257fb58e19dec7904da97d8386e87b84948169",
942        );
943        (public_key, sig, message, false)
944    }
945
946    fn vector_sig_verification_9() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
947        let (public_key, sig, message) = parse_vector_sig_verification(
948            "bf02cbcf6d8cc26e91766d8af0b164fc5968535e84c158eb3bc4e2d79c3cc682",
949            "069ba6cb06b49d60812066afa16ecf7b51352f2c03bd93ec220822b1f3dfba03",
950            "f5acb06c59c2b4927fb852faa07faf4b1852bbb5d06840935e849c4d293d1bad",
951            "049dab79c89cc02f1484c437f523e080a75f134917fda752f2d5ca397addfe5d",
952            "3fe60dd9ad6caccf5a6f583b3ae65953563446c4510b70da115ffaa0ba04c076115c7043ab8733403cd6
953            9c7d14c212c655c07b43a7c71b9a4cffe22c2684788ec6870dc2013f269172c822256f9e7cc674791bf2d848
954            6c0f5684283e1649576efc982ede17c7b74b214754d70402fb4bb45ad086cf2cf76b3d63f7fce39ac970",
955        );
956        (public_key, sig, message, false)
957    }
958
959    fn vector_sig_verification_10() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
960        let (public_key, sig, message) = parse_vector_sig_verification(
961            "224a4d65b958f6d6afb2904863efd2a734b31798884801fcab5a590f4d6da9de",
962            "178d51fddada62806f097aa615d33b8f2404e6b1479f5fd4859d595734d6d2b9",
963            "87b93ee2fecfda54deb8dff8e426f3c72c8864991f8ec2b3205bb3b416de93d2",
964            "4044a24df85be0cc76f21a4430b75b8e77b932a87f51e4eccbc45c263ebf8f66",
965            "983a71b9994d95e876d84d28946a041f8f0a3f544cfcc055496580f1dfd4e312a2ad418fe69dbc61db23
966            0cc0c0ed97e360abab7d6ff4b81ee970a7e97466acfd9644f828ffec538abc383d0e92326d1c88c55e1f46a6
967            68a039beaa1be631a89129938c00a81a3ae46d4aecbf9707f764dbaccea3ef7665e4c4307fa0b0a3075c",
968        );
969        (public_key, sig, message, false)
970    }
971
972    fn vector_sig_verification_11() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
973        let (public_key, sig, message) = parse_vector_sig_verification(
974            "43691c7795a57ead8c5c68536fe934538d46f12889680a9cb6d055a066228369",
975            "f8790110b3c3b281aa1eae037d4f1234aff587d903d93ba3af225c27ddc9ccac",
976            "8acd62e8c262fa50dd9840480969f4ef70f218ebf8ef9584f199031132c6b1ce",
977            "cfca7ed3d4347fb2a29e526b43c348ae1ce6c60d44f3191b6d8ea3a2d9c92154",
978            "4a8c071ac4fd0d52faa407b0fe5dab759f7394a5832127f2a3498f34aac287339e043b4ffa79528faf19
979            9dc917f7b066ad65505dab0e11e6948515052ce20cfdb892ffb8aa9bf3f1aa5be30a5bbe85823bddf70b39fd
980            7ebd4a93a2f75472c1d4f606247a9821f1a8c45a6cb80545de2e0c6c0174e2392088c754e9c8443eb5af",
981        );
982        (public_key, sig, message, false)
983    }
984
985    fn vector_sig_verification_12() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
986        let (public_key, sig, message) = parse_vector_sig_verification(
987            "9157dbfcf8cf385f5bb1568ad5c6e2a8652ba6dfc63bc1753edf5268cb7eb596",
988            "972570f4313d47fc96f7c02d5594d77d46f91e949808825b3d31f029e8296405",
989            "dfaea6f297fa320b707866125c2a7d5d515b51a503bee817de9faa343cc48eeb",
990            "8f780ad713f9c3e5a4f7fa4c519833dfefc6a7432389b1e4af463961f09764f2",
991            "0a3a12c3084c865daf1d302c78215d39bfe0b8bf28272b3c0b74beb4b7409db0718239de700785581514
992            321c6440a4bbaea4c76fa47401e151e68cb6c29017f0bce4631290af5ea5e2bf3ed742ae110b04ade83a5dbd
993            7358f29a85938e23d87ac8233072b79c94670ff0959f9c7f4517862ff829452096c78f5f2e9a7e4e9216",
994        );
995        (public_key, sig, message, false)
996    }
997
998    fn vector_sig_verification_13() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
999        let (public_key, sig, message) = parse_vector_sig_verification(
1000            "072b10c081a4c1713a294f248aef850e297991aca47fa96a7470abe3b8acfdda",
1001            "9581145cca04a0fb94cedce752c8f0370861916d2a94e7c647c5373ce6a4c8f5",
1002            "09f5483eccec80f9d104815a1be9cc1a8e5b12b6eb482a65c6907b7480cf4f19",
1003            "a4f90e560c5e4eb8696cb276e5165b6a9d486345dedfb094a76e8442d026378d",
1004            "785d07a3c54f63dca11f5d1a5f496ee2c2f9288e55007e666c78b007d95cc28581dce51f490b30fa73dc
1005            9e2d45d075d7e3a95fb8a9e1465ad191904124160b7c60fa720ef4ef1c5d2998f40570ae2a870ef3e894c2bc
1006            617d8a1dc85c3c55774928c38789b4e661349d3f84d2441a3b856a76949b9f1f80bc161648a1cad5588e",
1007        );
1008        (public_key, sig, message, false)
1009    }
1010
1011    fn vector_sig_verification_14() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1012        let (public_key, sig, message) = parse_vector_sig_verification(
1013            "09308ea5bfad6e5adf408634b3d5ce9240d35442f7fe116452aaec0d25be8c24",
1014            "f40c93e023ef494b1c3079b2d10ef67f3170740495ce2cc57f8ee4b0618b8ee5",
1015            "5cc8aa7c35743ec0c23dde88dabd5e4fcd0192d2116f6926fef788cddb754e73",
1016            "9c9c045ebaa1b828c32f82ace0d18daebf5e156eb7cbfdc1eff4399a8a900ae7",
1017            "76f987ec5448dd72219bd30bf6b66b0775c80b394851a43ff1f537f140a6e7229ef8cd72ad58b1d2d202
1018            98539d6347dd5598812bc65323aceaf05228f738b5ad3e8d9fe4100fd767c2f098c77cb99c2992843ba3eed9
1019            1d32444f3b6db6cd212dd4e5609548f4bb62812a920f6e2bf1581be1ebeebdd06ec4e971862cc42055ca",
1020        );
1021        (public_key, sig, message, false)
1022    }
1023
1024    fn vector_sig_verification_15() -> (PublicKey, Vec<u8>, Vec<u8>, bool) {
1025        let (public_key, sig, message) = parse_vector_sig_verification(
1026            "2d98ea01f754d34bbc3003df5050200abf445ec728556d7ed7d5c54c55552b6d",
1027            "9b52672742d637a32add056dfd6d8792f2a33c2e69dafabea09b960bc61e230a",
1028            "06108e525f845d0155bf60193222b3219c98e3d49424c2fb2a0987f825c17959",
1029            "62b5cdd591e5b507e560167ba8f6f7cda74673eb315680cb89ccbc4eec477dce",
1030            "60cd64b2cd2be6c33859b94875120361a24085f3765cb8b2bf11e026fa9d8855dbe435acf7882e84f3c7
1031            857f96e2baab4d9afe4588e4a82e17a78827bfdb5ddbd1c211fbc2e6d884cddd7cb9d90d5bf4a7311b83f352
1032            508033812c776a0e00c003c7e0d628e50736c7512df0acfa9f2320bd102229f46495ae6d0857cc452a84",
1033        );
1034        (public_key, sig, message, true)
1035    }
1036}