commonware_cryptography/ed25519/
scheme.rs

1use crate::{Array, BatchScheme, Signer, Specification, Verifier};
2use bytes::{Buf, BufMut};
3use commonware_codec::{Error as CodecError, FixedSize, Read, ReadExt, Write};
4use commonware_utils::{hex, union_unique};
5use ed25519_consensus::{self, VerificationKey};
6use rand::{CryptoRng, Rng, RngCore};
7use std::borrow::Cow;
8use std::fmt::{Debug, Display};
9use std::hash::{Hash, Hasher};
10use std::ops::Deref;
11use zeroize::{Zeroize, ZeroizeOnDrop};
12
13const CURVE_NAME: &str = "ed25519";
14const PRIVATE_KEY_LENGTH: usize = 32;
15const PUBLIC_KEY_LENGTH: usize = 32;
16const SIGNATURE_LENGTH: usize = 64;
17
18/// Ed25519 Signer.
19#[derive(Clone)]
20pub struct Ed25519 {
21    signer: ed25519_consensus::SigningKey,
22    verifier: ed25519_consensus::VerificationKey,
23}
24
25impl Specification for Ed25519 {
26    type PublicKey = PublicKey;
27    type Signature = Signature;
28}
29
30impl Verifier for Ed25519 {
31    fn verify(
32        namespace: Option<&[u8]>,
33        message: &[u8],
34        public_key: &Self::PublicKey,
35        signature: &Self::Signature,
36    ) -> bool {
37        match namespace {
38            Some(namespace) => {
39                let payload = union_unique(namespace, message);
40                public_key
41                    .key
42                    .verify(&signature.signature, &payload)
43                    .is_ok()
44            }
45            None => public_key.key.verify(&signature.signature, message).is_ok(),
46        }
47    }
48}
49
50impl Signer for Ed25519 {
51    type PrivateKey = PrivateKey;
52
53    fn new<R: CryptoRng + Rng>(r: &mut R) -> Self {
54        let signer = ed25519_consensus::SigningKey::new(r);
55        let verifier = signer.verification_key();
56        Self { signer, verifier }
57    }
58
59    fn from(private_key: PrivateKey) -> Option<Self> {
60        let signer = private_key.key.clone();
61        let verifier = signer.verification_key();
62        Some(Self { signer, verifier })
63    }
64
65    fn private_key(&self) -> PrivateKey {
66        PrivateKey::from(self.signer.clone())
67    }
68
69    fn public_key(&self) -> PublicKey {
70        PublicKey::from(self.verifier)
71    }
72
73    fn sign(&mut self, namespace: Option<&[u8]>, message: &[u8]) -> Signature {
74        let sig = match namespace {
75            Some(namespace) => self.signer.sign(&union_unique(namespace, message)),
76            None => self.signer.sign(message),
77        };
78        Signature::from(sig)
79    }
80}
81
82/// Ed25519 Batch Verifier.
83pub struct Ed25519Batch {
84    verifier: ed25519_consensus::batch::Verifier,
85}
86
87impl Specification for Ed25519Batch {
88    type PublicKey = PublicKey;
89    type Signature = Signature;
90}
91
92impl BatchScheme for Ed25519Batch {
93    fn new() -> Self {
94        Ed25519Batch {
95            verifier: ed25519_consensus::batch::Verifier::new(),
96        }
97    }
98
99    fn add(
100        &mut self,
101        namespace: Option<&[u8]>,
102        message: &[u8],
103        public_key: &Self::PublicKey,
104        signature: &Self::Signature,
105    ) -> bool {
106        let payload = match namespace {
107            Some(namespace) => Cow::Owned(union_unique(namespace, message)),
108            None => Cow::Borrowed(message),
109        };
110        let item = ed25519_consensus::batch::Item::from((
111            public_key.key.into(),
112            signature.signature,
113            &payload,
114        ));
115        self.verifier.queue(item);
116        true
117    }
118
119    fn verify<R: RngCore + CryptoRng>(self, rng: &mut R) -> bool {
120        self.verifier.verify(rng).is_ok()
121    }
122}
123
124/// Ed25519 Private Key.
125#[derive(Clone, Zeroize, ZeroizeOnDrop)]
126pub struct PrivateKey {
127    raw: [u8; PRIVATE_KEY_LENGTH],
128    key: ed25519_consensus::SigningKey,
129}
130
131impl Write for PrivateKey {
132    fn write(&self, buf: &mut impl BufMut) {
133        self.raw.write(buf);
134    }
135}
136
137impl Read for PrivateKey {
138    type Cfg = ();
139
140    fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
141        let raw = <[u8; Self::SIZE]>::read(buf)?;
142        let key = ed25519_consensus::SigningKey::from(raw);
143        Ok(Self { raw, key })
144    }
145}
146
147impl FixedSize for PrivateKey {
148    const SIZE: usize = PRIVATE_KEY_LENGTH;
149}
150
151impl Array for PrivateKey {}
152
153impl Eq for PrivateKey {}
154
155impl Hash for PrivateKey {
156    fn hash<H: Hasher>(&self, state: &mut H) {
157        self.raw.hash(state);
158    }
159}
160
161impl PartialEq for PrivateKey {
162    fn eq(&self, other: &Self) -> bool {
163        self.raw == other.raw
164    }
165}
166
167impl Ord for PrivateKey {
168    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
169        self.raw.cmp(&other.raw)
170    }
171}
172
173impl PartialOrd for PrivateKey {
174    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
175        Some(self.cmp(other))
176    }
177}
178
179impl AsRef<[u8]> for PrivateKey {
180    fn as_ref(&self) -> &[u8] {
181        &self.raw
182    }
183}
184
185impl Deref for PrivateKey {
186    type Target = [u8];
187    fn deref(&self) -> &[u8] {
188        &self.raw
189    }
190}
191
192impl From<ed25519_consensus::SigningKey> for PrivateKey {
193    fn from(key: ed25519_consensus::SigningKey) -> Self {
194        let raw = key.to_bytes();
195        Self { raw, key }
196    }
197}
198
199impl Debug for PrivateKey {
200    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
201        write!(f, "{}", hex(&self.raw))
202    }
203}
204
205impl Display for PrivateKey {
206    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
207        write!(f, "{}", hex(&self.raw))
208    }
209}
210
211/// Ed25519 Public Key.
212#[derive(Clone, Eq, PartialEq, Ord, PartialOrd, Hash)]
213pub struct PublicKey {
214    raw: [u8; PUBLIC_KEY_LENGTH],
215    key: ed25519_consensus::VerificationKey,
216}
217
218impl Write for PublicKey {
219    fn write(&self, buf: &mut impl BufMut) {
220        self.raw.write(buf);
221    }
222}
223
224impl Read for PublicKey {
225    type Cfg = ();
226
227    fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
228        let raw = <[u8; Self::SIZE]>::read(buf)?;
229        let key = VerificationKey::try_from(raw)
230            .map_err(|e| CodecError::Wrapped(CURVE_NAME, e.into()))?;
231        Ok(Self { raw, key })
232    }
233}
234
235impl FixedSize for PublicKey {
236    const SIZE: usize = PUBLIC_KEY_LENGTH;
237}
238
239impl Array for PublicKey {}
240
241impl AsRef<[u8]> for PublicKey {
242    fn as_ref(&self) -> &[u8] {
243        &self.raw
244    }
245}
246
247impl Deref for PublicKey {
248    type Target = [u8];
249    fn deref(&self) -> &[u8] {
250        &self.raw
251    }
252}
253
254impl From<VerificationKey> for PublicKey {
255    fn from(key: VerificationKey) -> Self {
256        let raw = key.to_bytes();
257        Self { raw, key }
258    }
259}
260
261impl Debug for PublicKey {
262    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
263        write!(f, "{}", hex(&self.raw))
264    }
265}
266
267impl Display for PublicKey {
268    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
269        write!(f, "{}", hex(&self.raw))
270    }
271}
272
273/// Ed25519 Signature.
274#[derive(Clone, Eq, PartialEq)]
275pub struct Signature {
276    raw: [u8; SIGNATURE_LENGTH],
277    signature: ed25519_consensus::Signature,
278}
279
280impl Write for Signature {
281    fn write(&self, buf: &mut impl BufMut) {
282        self.raw.write(buf);
283    }
284}
285
286impl Read for Signature {
287    type Cfg = ();
288
289    fn read_cfg(buf: &mut impl Buf, _: &()) -> Result<Self, CodecError> {
290        let raw = <[u8; Self::SIZE]>::read(buf)?;
291        let signature = ed25519_consensus::Signature::from(raw);
292        Ok(Self { raw, signature })
293    }
294}
295
296impl FixedSize for Signature {
297    const SIZE: usize = SIGNATURE_LENGTH;
298}
299
300impl Array for Signature {}
301
302impl Hash for Signature {
303    fn hash<H: Hasher>(&self, state: &mut H) {
304        self.raw.hash(state);
305    }
306}
307
308impl Ord for Signature {
309    fn cmp(&self, other: &Self) -> std::cmp::Ordering {
310        self.raw.cmp(&other.raw)
311    }
312}
313
314impl PartialOrd for Signature {
315    fn partial_cmp(&self, other: &Self) -> Option<std::cmp::Ordering> {
316        Some(self.cmp(other))
317    }
318}
319
320impl AsRef<[u8]> for Signature {
321    fn as_ref(&self) -> &[u8] {
322        &self.raw
323    }
324}
325
326impl Deref for Signature {
327    type Target = [u8];
328    fn deref(&self) -> &[u8] {
329        &self.raw
330    }
331}
332
333impl From<ed25519_consensus::Signature> for Signature {
334    fn from(value: ed25519_consensus::Signature) -> Self {
335        let raw = value.to_bytes();
336        Self {
337            raw,
338            signature: value,
339        }
340    }
341}
342
343impl Debug for Signature {
344    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
345        write!(f, "{}", hex(&self.raw))
346    }
347}
348
349impl Display for Signature {
350    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
351        write!(f, "{}", hex(&self.raw))
352    }
353}
354
355/// Test vectors sourced from https://datatracker.ietf.org/doc/html/rfc8032#section-7.1.
356#[cfg(test)]
357mod tests {
358    use super::*;
359    use commonware_codec::{DecodeExt, Encode};
360    use rand::rngs::OsRng;
361
362    fn test_sign_and_verify(
363        private_key: PrivateKey,
364        public_key: PublicKey,
365        message: &[u8],
366        signature: Signature,
367    ) {
368        let mut signer = <Ed25519 as Signer>::from(private_key).unwrap();
369        let computed_signature = signer.sign(None, message);
370        assert_eq!(computed_signature, signature);
371        assert!(Ed25519::verify(
372            None,
373            message,
374            &public_key,
375            &computed_signature
376        ));
377    }
378
379    fn parse_private_key(private_key: &str) -> PrivateKey {
380        PrivateKey::decode(
381            commonware_utils::from_hex_formatted(private_key)
382                .unwrap()
383                .as_ref(),
384        )
385        .unwrap()
386    }
387
388    fn parse_public_key(public_key: &str) -> PublicKey {
389        PublicKey::decode(
390            commonware_utils::from_hex_formatted(public_key)
391                .unwrap()
392                .as_ref(),
393        )
394        .unwrap()
395    }
396
397    fn parse_signature(signature: &str) -> Signature {
398        Signature::decode(
399            commonware_utils::from_hex_formatted(signature)
400                .unwrap()
401                .as_ref(),
402        )
403        .unwrap()
404    }
405
406    fn vector_1() -> (PrivateKey, PublicKey, Vec<u8>, Signature) {
407        (
408            // secret key
409            parse_private_key(
410                "
411                9d61b19deffd5a60ba844af492ec2cc4
412                4449c5697b326919703bac031cae7f60
413                ",
414            ),
415            // public key
416            parse_public_key(
417                "
418                d75a980182b10ab7d54bfed3c964073a
419                0ee172f3daa62325af021a68f707511a
420                ",
421            ),
422            // message
423            b"".to_vec(),
424            // signature
425            parse_signature(
426                "
427                e5564300c360ac729086e2cc806e828a
428                84877f1eb8e5d974d873e06522490155
429                5fb8821590a33bacc61e39701cf9b46b
430                d25bf5f0595bbe24655141438e7a100b
431                ",
432            ),
433        )
434    }
435
436    fn vector_2() -> (PrivateKey, PublicKey, Vec<u8>, Signature) {
437        (
438            // secret key
439            parse_private_key(
440                "
441                4ccd089b28ff96da9db6c346ec114e0f
442                5b8a319f35aba624da8cf6ed4fb8a6fb
443                ",
444            ),
445            // public key
446            parse_public_key(
447                "
448                3d4017c3e843895a92b70aa74d1b7ebc
449                9c982ccf2ec4968cc0cd55f12af4660c
450                ",
451            ),
452            // message
453            [0x72].to_vec(),
454            // signature
455            parse_signature(
456                "
457                92a009a9f0d4cab8720e820b5f642540
458                a2b27b5416503f8fb3762223ebdb69da
459                085ac1e43e15996e458f3613d0f11d8c
460                387b2eaeb4302aeeb00d291612bb0c00
461                ",
462            ),
463        )
464    }
465
466    #[test]
467    fn test_codec_private_key() {
468        let private_key = parse_private_key(
469            "
470            9d61b19deffd5a60ba844af492ec2cc4
471            4449c5697b326919703bac031cae7f60
472            ",
473        );
474        let encoded = private_key.encode();
475        assert_eq!(encoded.len(), PRIVATE_KEY_LENGTH);
476        let decoded = PrivateKey::decode(encoded).unwrap();
477        assert_eq!(private_key, decoded);
478    }
479
480    #[test]
481    fn test_codec_public_key() {
482        let public_key = parse_public_key(
483            "
484            d75a980182b10ab7d54bfed3c964073a
485            0ee172f3daa62325af021a68f707511a
486            ",
487        );
488        let encoded = public_key.encode();
489        assert_eq!(encoded.len(), PUBLIC_KEY_LENGTH);
490        let decoded = PublicKey::decode(encoded).unwrap();
491        assert_eq!(public_key, decoded);
492    }
493
494    #[test]
495    fn test_codec_signature() {
496        let signature = parse_signature(
497            "
498            e5564300c360ac729086e2cc806e828a
499            84877f1eb8e5d974d873e06522490155
500            5fb8821590a33bacc61e39701cf9b46b
501            d25bf5f0595bbe24655141438e7a100b
502            ",
503        );
504        let encoded = signature.encode();
505        assert_eq!(encoded.len(), SIGNATURE_LENGTH);
506        let decoded = Signature::decode(encoded).unwrap();
507        assert_eq!(signature, decoded);
508    }
509
510    #[test]
511    fn rfc8032_test_vector_1() {
512        let (private_key, public_key, message, signature) = vector_1();
513        test_sign_and_verify(private_key, public_key, &message, signature)
514    }
515
516    // sanity check the test infra rejects bad signatures
517    #[test]
518    #[should_panic]
519    fn bad_signature() {
520        let (private_key, public_key, message, _) = vector_1();
521        let mut signer = <Ed25519 as Signer>::new(&mut OsRng);
522        let bad_signature = signer.sign(None, message.as_ref());
523        test_sign_and_verify(private_key, public_key, &message, bad_signature);
524    }
525
526    // sanity check the test infra rejects non-matching messages
527    #[test]
528    #[should_panic]
529    fn different_message() {
530        let (private_key, public_key, _, signature) = vector_1();
531        let different_message = b"this is a different message".to_vec();
532        test_sign_and_verify(private_key, public_key, &different_message, signature);
533    }
534
535    #[test]
536    fn rfc8032_test_vector_2() {
537        let (private_key, public_key, message, signature) = vector_2();
538        test_sign_and_verify(private_key, public_key, &message, signature)
539    }
540
541    #[test]
542    fn rfc8032_test_vector_3() {
543        let private_key = parse_private_key(
544            "
545            c5aa8df43f9f837bedb7442f31dcb7b1
546            66d38535076f094b85ce3a2e0b4458f7
547            ",
548        );
549        let public_key = parse_public_key(
550            "
551            fc51cd8e6218a1a38da47ed00230f058
552            0816ed13ba3303ac5deb911548908025
553            ",
554        );
555        let message: [u8; 2] = [0xaf, 0x82];
556        let signature = parse_signature(
557            "
558            6291d657deec24024827e69c3abe01a3
559            0ce548a284743a445e3680d7db5ac3ac
560            18ff9b538d16f290ae67f760984dc659
561            4a7c15e9716ed28dc027beceea1ec40a
562            ",
563        );
564        test_sign_and_verify(private_key, public_key, &message, signature)
565    }
566
567    #[test]
568    fn rfc8032_test_vector_1024() {
569        let private_key = parse_private_key(
570            "
571            f5e5767cf153319517630f226876b86c
572            8160cc583bc013744c6bf255f5cc0ee5
573            ",
574        );
575        let public_key = parse_public_key(
576            "
577            278117fc144c72340f67d0f2316e8386
578            ceffbf2b2428c9c51fef7c597f1d426e
579            ",
580        );
581        let message = commonware_utils::from_hex_formatted(
582            "
583            08b8b2b733424243760fe426a4b54908
584            632110a66c2f6591eabd3345e3e4eb98
585            fa6e264bf09efe12ee50f8f54e9f77b1
586            e355f6c50544e23fb1433ddf73be84d8
587            79de7c0046dc4996d9e773f4bc9efe57
588            38829adb26c81b37c93a1b270b20329d
589            658675fc6ea534e0810a4432826bf58c
590            941efb65d57a338bbd2e26640f89ffbc
591            1a858efcb8550ee3a5e1998bd177e93a
592            7363c344fe6b199ee5d02e82d522c4fe
593            ba15452f80288a821a579116ec6dad2b
594            3b310da903401aa62100ab5d1a36553e
595            06203b33890cc9b832f79ef80560ccb9
596            a39ce767967ed628c6ad573cb116dbef
597            efd75499da96bd68a8a97b928a8bbc10
598            3b6621fcde2beca1231d206be6cd9ec7
599            aff6f6c94fcd7204ed3455c68c83f4a4
600            1da4af2b74ef5c53f1d8ac70bdcb7ed1
601            85ce81bd84359d44254d95629e9855a9
602            4a7c1958d1f8ada5d0532ed8a5aa3fb2
603            d17ba70eb6248e594e1a2297acbbb39d
604            502f1a8c6eb6f1ce22b3de1a1f40cc24
605            554119a831a9aad6079cad88425de6bd
606            e1a9187ebb6092cf67bf2b13fd65f270
607            88d78b7e883c8759d2c4f5c65adb7553
608            878ad575f9fad878e80a0c9ba63bcbcc
609            2732e69485bbc9c90bfbd62481d9089b
610            eccf80cfe2df16a2cf65bd92dd597b07
611            07e0917af48bbb75fed413d238f5555a
612            7a569d80c3414a8d0859dc65a46128ba
613            b27af87a71314f318c782b23ebfe808b
614            82b0ce26401d2e22f04d83d1255dc51a
615            ddd3b75a2b1ae0784504df543af8969b
616            e3ea7082ff7fc9888c144da2af58429e
617            c96031dbcad3dad9af0dcbaaaf268cb8
618            fcffead94f3c7ca495e056a9b47acdb7
619            51fb73e666c6c655ade8297297d07ad1
620            ba5e43f1bca32301651339e22904cc8c
621            42f58c30c04aafdb038dda0847dd988d
622            cda6f3bfd15c4b4c4525004aa06eeff8
623            ca61783aacec57fb3d1f92b0fe2fd1a8
624            5f6724517b65e614ad6808d6f6ee34df
625            f7310fdc82aebfd904b01e1dc54b2927
626            094b2db68d6f903b68401adebf5a7e08
627            d78ff4ef5d63653a65040cf9bfd4aca7
628            984a74d37145986780fc0b16ac451649
629            de6188a7dbdf191f64b5fc5e2ab47b57
630            f7f7276cd419c17a3ca8e1b939ae49e4
631            88acba6b965610b5480109c8b17b80e1
632            b7b750dfc7598d5d5011fd2dcc5600a3
633            2ef5b52a1ecc820e308aa342721aac09
634            43bf6686b64b2579376504ccc493d97e
635            6aed3fb0f9cd71a43dd497f01f17c0e2
636            cb3797aa2a2f256656168e6c496afc5f
637            b93246f6b1116398a346f1a641f3b041
638            e989f7914f90cc2c7fff357876e506b5
639            0d334ba77c225bc307ba537152f3f161
640            0e4eafe595f6d9d90d11faa933a15ef1
641            369546868a7f3a45a96768d40fd9d034
642            12c091c6315cf4fde7cb68606937380d
643            b2eaaa707b4c4185c32eddcdd306705e
644            4dc1ffc872eeee475a64dfac86aba41c
645            0618983f8741c5ef68d3a101e8a3b8ca
646            c60c905c15fc910840b94c00a0b9d0
647            ",
648        )
649        .unwrap();
650        let signature = parse_signature(
651            "
652            0aab4c900501b3e24d7cdf4663326a3a
653            87df5e4843b2cbdb67cbf6e460fec350
654            aa5371b1508f9f4528ecea23c436d94b
655            5e8fcd4f681e30a6ac00a9704a188a03
656            ",
657        );
658        test_sign_and_verify(private_key, public_key, &message, signature)
659    }
660
661    #[test]
662    fn rfc8032_test_vector_sha() {
663        let private_key = commonware_utils::from_hex_formatted(
664            "
665            833fe62409237b9d62ec77587520911e
666            9a759cec1d19755b7da901b96dca3d42
667            ",
668        )
669        .unwrap();
670        let public_key = commonware_utils::from_hex_formatted(
671            "
672            ec172b93ad5e563bf4932c70e1245034
673            c35467ef2efd4d64ebf819683467e2bf
674            ",
675        )
676        .unwrap();
677        let message = commonware_utils::from_hex_formatted(
678            "
679            ddaf35a193617abacc417349ae204131
680            12e6fa4e89a97ea20a9eeee64b55d39a
681            2192992a274fc1a836ba3c23a3feebbd
682            454d4423643ce80e2a9ac94fa54ca49f
683            ",
684        )
685        .unwrap();
686        let signature = commonware_utils::from_hex_formatted(
687            "
688            dc2a4459e7369633a52b1bf277839a00
689            201009a3efbf3ecb69bea2186c26b589
690            09351fc9ac90b3ecfdfbc7c66431e030
691            3dca179c138ac17ad9bef1177331a704
692            ",
693        )
694        .unwrap();
695        test_sign_and_verify(
696            PrivateKey::decode(private_key.as_ref()).unwrap(),
697            PublicKey::decode(public_key.as_ref()).unwrap(),
698            &message,
699            Signature::decode(signature.as_ref()).unwrap(),
700        )
701    }
702
703    #[test]
704    fn batch_verify_valid() {
705        let v1 = vector_1();
706        let v2 = vector_2();
707        let mut batch = Ed25519Batch::new();
708        assert!(batch.add(None, &v1.2, &v1.1, &v1.3));
709        assert!(batch.add(None, &v2.2, &v2.1, &v2.3));
710        assert!(batch.verify(&mut rand::thread_rng()));
711    }
712
713    #[test]
714    fn batch_verify_invalid() {
715        let v1 = vector_1();
716        let v2 = vector_2();
717        let mut bad_signature = v2.3.to_vec();
718        bad_signature[3] = 0xff;
719
720        let mut batch = Ed25519Batch::new();
721        assert!(batch.add(None, &v1.2, &v1.1, &v1.3));
722        assert!(batch.add(
723            None,
724            &v2.2,
725            &v2.1,
726            &Signature::decode(bad_signature.as_ref()).unwrap()
727        ));
728        assert!(!batch.verify(&mut rand::thread_rng()));
729    }
730
731    #[test]
732    fn test_zero_signature_fails() {
733        let (_, public_key, message, _) = vector_1();
734        let zero_sig = Signature::decode(vec![0u8; Signature::SIZE].as_ref()).unwrap();
735        assert!(!Ed25519::verify(None, &message, &public_key, &zero_sig));
736    }
737
738    #[test]
739    fn test_high_s_fails() {
740        let (_, public_key, message, signature) = vector_1();
741        let mut bad_signature = signature.to_vec();
742        bad_signature[63] |= 0x80; // make S non-canonical
743        let bad_signature = Signature::decode(bad_signature.as_ref()).unwrap();
744        assert!(!Ed25519::verify(
745            None,
746            &message,
747            &public_key,
748            &bad_signature
749        ));
750    }
751
752    #[test]
753    fn test_invalid_r_fails() {
754        let (_, public_key, message, signature) = vector_1();
755        let mut bad_signature = signature.to_vec();
756        for b in bad_signature.iter_mut().take(32) {
757            *b = 0xff; // invalid R component
758        }
759        let bad_signature = Signature::decode(bad_signature.as_ref()).unwrap();
760        assert!(!Ed25519::verify(
761            None,
762            &message,
763            &public_key,
764            &bad_signature
765        ));
766    }
767}