babyjubjub-ark/src/lib.rs
src/lib.rsRaw
1extern crate rand;
2#[macro_use]
3extern crate ff;
4use ff::*;
5
6use poseidon_rs::Poseidon;
7pub type Fr = poseidon_rs::Fr; // alias
8
9#[macro_use]
10extern crate arrayref;
11extern crate generic_array;
12extern crate num;
13extern crate num_bigint;
14extern crate num_traits;
15
16extern crate rand6;
17use rand6::Rng;
18
19// use blake2::{Blake2b, Digest};
20extern crate blake_hash; // compatible version with Blake used at circomlib
21#[macro_use]
22use blake_hash::Digest;
23
24use std::cmp::min;
25
26use num_bigint::{BigInt, RandBigInt, Sign, ToBigInt};
27use num_traits::One;
28
29use generic_array::GenericArray;
30
31pub mod utils;
32
33#[macro_use]
34extern crate lazy_static;
35
36lazy_static! {
37 static ref D: Fr = Fr::from_str("168696").unwrap();
38 static ref D_big: BigInt = BigInt::parse_bytes(b"168696", 10).unwrap();
39 static ref A: Fr = Fr::from_str("168700").unwrap();
40 static ref A_big: BigInt = BigInt::parse_bytes(b"168700", 10).unwrap();
41 pub static ref Q: BigInt = BigInt::parse_bytes(
42 b"21888242871839275222246405745257275088548364400416034343698204186575808495617",10
43 )
44 .unwrap();
45 static ref B8: Point = Point {
46 x: Fr::from_str(
47 "5299619240641551281634865583518297030282874472190772894086521144482721001553",
48 )
49 .unwrap(),
50 y: Fr::from_str(
51 "16950150798460657717958625567821834550301663161624707787222815936182638968203",
52 )
53 .unwrap(),
54 };
55 static ref ORDER: Fr = Fr::from_str(
56 "21888242871839275222246405745257275088614511777268538073601725287587578984328",
57 )
58 .unwrap();
59
60 // SUBORDER = ORDER >> 3
61 static ref SUBORDER: BigInt = &BigInt::parse_bytes(
62 b"21888242871839275222246405745257275088614511777268538073601725287587578984328",
63 10,
64 )
65 .unwrap()
66 >> 3;
67 static ref poseidon: poseidon_rs::Poseidon = Poseidon::new();
68}
69
70#[derive(Clone, Debug)]
71pub struct PointProjective {
72 pub x: Fr,
73 pub y: Fr,
74 pub z: Fr,
75}
76
77impl PointProjective {
78 pub fn affine(&self) -> Point {
79 if self.z.is_zero() {
80 return Point {
81 x: Fr::zero(),
82 y: Fr::zero(),
83 };
84 }
85
86 let zinv = self.z.inverse().unwrap();
87 let mut x = self.x;
88 x.mul_assign(&zinv);
89 let mut y = self.y;
90 y.mul_assign(&zinv);
91
92 Point {
93 x: x.clone(),
94 y: y.clone(),
95 }
96 }
97 pub fn add(&self, q: &PointProjective) -> PointProjective {
98 // add-2008-bbjlp https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#doubling-dbl-2008-bbjlp
99 let mut a = self.z;
100 a.mul_assign(&q.z);
101 let mut b = a;
102 b.square();
103 let mut c = self.x;
104 c.mul_assign(&q.x);
105 let mut d = self.y;
106 d.mul_assign(&q.y);
107 let mut e = D.clone();
108 e.mul_assign(&c);
109 e.mul_assign(&d);
110 let mut f = b;
111 f.sub_assign(&e);
112 let mut g = b;
113 g.add_assign(&e);
114 let mut x1y1 = self.x;
115 x1y1.add_assign(&self.y);
116 let mut x2y2 = q.x;
117 x2y2.add_assign(&q.y);
118 let mut aux = x1y1;
119 aux.mul_assign(&x2y2);
120 aux.sub_assign(&c);
121 aux.sub_assign(&d);
122 let mut x3 = a;
123 x3.mul_assign(&f);
124 x3.mul_assign(&aux);
125 let mut ac = A.clone();
126 ac.mul_assign(&c);
127 let mut dac = d;
128 dac.sub_assign(&ac);
129 let mut y3 = a;
130 y3.mul_assign(&g);
131 y3.mul_assign(&dac);
132 let mut z3 = f;
133 z3.mul_assign(&g);
134
135 PointProjective {
136 x: x3.clone(),
137 y: y3.clone(),
138 z: z3.clone(),
139 }
140 }
141}
142
143#[derive(Clone, Debug)]
144pub struct Point {
145 pub x: Fr,
146 pub y: Fr,
147}
148
149impl Point {
150 pub fn projective(&self) -> PointProjective {
151 PointProjective {
152 x: self.x.clone(),
153 y: self.y.clone(),
154 z: Fr::one(),
155 }
156 }
157
158 pub fn mul_scalar(&self, n: &BigInt) -> Point {
159 let mut r: PointProjective = PointProjective {
160 x: Fr::zero(),
161 y: Fr::one(),
162 z: Fr::one(),
163 };
164 let mut exp: PointProjective = self.projective();
165 let (_, b) = n.to_bytes_le();
166 for i in 0..n.bits() {
167 if test_bit(&b, i) {
168 r = r.add(&exp);
169 }
170 exp = exp.add(&exp);
171 }
172 r.affine()
173 }
174
175 pub fn compress(&self) -> [u8; 32] {
176 let p = &self;
177 let mut r: [u8; 32] = [0; 32];
178 let x_big = BigInt::parse_bytes(to_hex(&p.x).as_bytes(), 16).unwrap();
179 let y_big = BigInt::parse_bytes(to_hex(&p.y).as_bytes(), 16).unwrap();
180 let (_, y_bytes) = y_big.to_bytes_le();
181 let len = min(y_bytes.len(), r.len());
182 r[..len].copy_from_slice(&y_bytes[..len]);
183 if &x_big > &(&Q.clone() >> 1) {
184 r[31] = r[31] | 0x80;
185 }
186 r
187 }
188
189 pub fn equals(&self, p: Point) -> bool {
190 if self.x == p.x && self.y == p.y {
191 return true;
192 }
193 false
194 }
195}
196
197pub fn test_bit(b: &Vec<u8>, i: usize) -> bool {
198 return b[i / 8] & (1 << (i % 8)) != 0;
199}
200
201pub fn decompress_point(bb: [u8; 32]) -> Result<Point, String> {
202 // https://tools.ietf.org/html/rfc8032#section-5.2.3
203 let mut sign: bool = false;
204 let mut b = bb.clone();
205 if b[31] & 0x80 != 0x00 {
206 sign = true;
207 b[31] = b[31] & 0x7F;
208 }
209 let y: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[..]);
210 if y >= Q.clone() {
211 return Err("y outside the Finite Field over R".to_string());
212 }
213 let one: BigInt = One::one();
214
215 // x^2 = (1 - y^2) / (a - d * y^2) (mod p)
216 let den = utils::modinv(
217 &utils::modulus(
218 &(&A_big.clone() - utils::modulus(&(&D_big.clone() * (&y * &y)), &Q)),
219 &Q,
220 ),
221 &Q,
222 )?;
223 let mut x: BigInt = utils::modulus(&((one - utils::modulus(&(&y * &y), &Q)) * den), &Q);
224 x = utils::modsqrt(&x, &Q)?;
225
226 if sign && !(&x > &(&Q.clone() >> 1)) || (!sign && (&x > &(&Q.clone() >> 1))) {
227 x = x * -1.to_bigint().unwrap();
228 }
229 x = utils::modulus(&x, &Q);
230 let x_fr: Fr = Fr::from_str(&x.to_string()).unwrap();
231 let y_fr: Fr = Fr::from_str(&y.to_string()).unwrap();
232 Ok(Point { x: x_fr, y: y_fr })
233}
234
235#[derive(Debug, Clone)]
236pub struct Signature {
237 r_b8: Point,
238 s: BigInt,
239}
240
241impl Signature {
242 pub fn compress(&self) -> [u8; 64] {
243 let mut b: Vec<u8> = Vec::new();
244 b.append(&mut self.r_b8.compress().to_vec());
245 let (_, s_bytes) = self.s.to_bytes_le();
246 let mut s_32bytes: [u8; 32] = [0; 32];
247 let len = min(s_bytes.len(), s_32bytes.len());
248 s_32bytes[..len].copy_from_slice(&s_bytes[..len]);
249 b.append(&mut s_32bytes.to_vec());
250 let mut r: [u8; 64] = [0; 64];
251 r[..].copy_from_slice(&b[..]);
252 r
253 }
254}
255
256pub fn decompress_signature(b: &[u8; 64]) -> Result<Signature, String> {
257 let r_b8_bytes: [u8; 32] = *array_ref!(b[..32], 0, 32);
258 let s: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[32..]);
259 let r_b8 = decompress_point(r_b8_bytes);
260 match r_b8 {
261 Result::Err(err) => return Err(err.to_string()),
262 Result::Ok(res) => Ok(Signature {
263 r_b8: res.clone(),
264 s: s,
265 }),
266 }
267}
268
269pub struct PrivateKey {
270 key: [u8; 32],
271}
272
273impl PrivateKey {
274 pub fn import(b: Vec<u8>) -> Result<PrivateKey, String> {
275 if b.len() != 32 {
276 return Err(String::from("imported key can not be bigger than 32 bytes"));
277 }
278 let mut sk: [u8; 32] = [0; 32];
279 sk.copy_from_slice(&b[..32]);
280 Ok(PrivateKey { key: sk })
281 }
282
283 pub fn scalar_key(&self) -> BigInt {
284 // not-compatible with circomlib implementation, but using Blake2b
285 // let mut hasher = Blake2b::new();
286 // hasher.update(sk_raw_bytes);
287 // let mut h = hasher.finalize();
288
289 // compatible with circomlib implementation
290 let hash = blake_hash::Blake512::digest(&self.key.to_vec());
291 let mut h: Vec<u8> = hash[..32].to_vec();
292
293 h[0] = h[0] & 0xF8;
294 h[31] = h[31] & 0x7F;
295 h[31] = h[31] | 0x40;
296
297 let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
298 sk >> 3
299 }
300
301 pub fn public(&self) -> Point {
302 // https://tools.ietf.org/html/rfc8032#section-5.1.5
303 let pk = B8.mul_scalar(&self.scalar_key());
304 pk.clone()
305 }
306
307 pub fn sign(&self, msg: BigInt) -> Result<Signature, String> {
308 if msg > Q.clone() {
309 return Err("msg outside the Finite Field".to_string());
310 }
311 // let (_, sk_bytes) = self.key.to_bytes_le();
312 // let mut hasher = Blake2b::new();
313 // hasher.update(sk_bytes);
314 // let mut h = hasher.finalize(); // h: hash(sk), s: h[32:64]
315 let mut h = blake_hash::Blake512::digest(&self.key);
316
317 let (_, msg_bytes) = msg.to_bytes_le();
318 let mut msg32: [u8; 32] = [0; 32];
319 msg32[..msg_bytes.len()].copy_from_slice(&msg_bytes[..]);
320 let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
321
322 // https://tools.ietf.org/html/rfc8032#section-5.1.6
323 let s = GenericArray::<u8, generic_array::typenum::U32>::from_mut_slice(&mut h[32..64]);
324 let r_bytes = utils::concatenate_arrays(s, &msg32);
325 let r_hashed = blake_hash::Blake512::digest(&r_bytes);
326 let mut r = BigInt::from_bytes_le(Sign::Plus, &r_hashed[..]);
327 r = utils::modulus(&r, &SUBORDER);
328 let r8: Point = B8.mul_scalar(&r);
329 let a = &self.public();
330
331 let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msg_fr];
332 let hm = poseidon.hash(hm_input)?;
333
334 let mut s = &self.scalar_key() << 3;
335 let hm_b = BigInt::parse_bytes(to_hex(&hm).as_bytes(), 16).unwrap();
336 s = hm_b * s;
337 s = r + s;
338 s = s % &SUBORDER.clone();
339
340 Ok(Signature {
341 r_b8: r8.clone(),
342 s: s,
343 })
344 }
345
346 pub fn sign_schnorr(&self, m: BigInt) -> Result<(Point, BigInt), String> {
347 // random r
348 let mut rng = rand6::thread_rng();
349 let k = rng.gen_biguint(1024).to_bigint().unwrap();
350
351 // r = k·G
352 let r = B8.mul_scalar(&k);
353
354 // h = H(x, r, m)
355 let pk = &self.public();
356 let h = schnorr_hash(&pk, m, &r)?;
357
358 // s= k+x·h
359 let sk_scalar = self.scalar_key();
360 let s = k + &sk_scalar * &h;
361 Ok((r, s))
362 }
363}
364
365pub fn schnorr_hash(pk: &Point, msg: BigInt, c: &Point) -> Result<BigInt, String> {
366 if msg > Q.clone() {
367 return Err("msg outside the Finite Field".to_string());
368 }
369 let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
370 let hm_input = vec![pk.x.clone(), pk.y.clone(), c.x.clone(), c.y.clone(), msg_fr];
371 let h = poseidon.hash(hm_input)?;
372 let h_b = BigInt::parse_bytes(to_hex(&h).as_bytes(), 16).unwrap();
373 Ok(h_b)
374}
375
376pub fn verify_schnorr(pk: Point, m: BigInt, r: Point, s: BigInt) -> Result<bool, String> {
377 // sG = s·G
378 let sg = B8.mul_scalar(&s);
379
380 // r + h · x
381 let h = schnorr_hash(&pk, m, &r)?;
382 let pk_h = pk.mul_scalar(&h);
383 let right = r.projective().add(&pk_h.projective());
384
385 Ok(sg.equals(right.affine()))
386}
387
388pub fn new_key() -> PrivateKey {
389 // https://tools.ietf.org/html/rfc8032#section-5.1.5
390 let mut rng = rand6::thread_rng();
391 let sk_raw = rng.gen_biguint(1024).to_bigint().unwrap();
392 let (_, sk_raw_bytes) = sk_raw.to_bytes_be();
393 PrivateKey::import(sk_raw_bytes[..32].to_vec()).unwrap()
394}
395
396pub fn verify(pk: Point, sig: Signature, msg: BigInt) -> bool {
397 if msg > Q.clone() {
398 return false;
399 }
400 let msg_fr: Fr = Fr::from_str(&msg.to_string()).unwrap();
401 let hm_input = vec![
402 sig.r_b8.x.clone(),
403 sig.r_b8.y.clone(),
404 pk.x.clone(),
405 pk.y.clone(),
406 msg_fr,
407 ];
408 let hm = match poseidon.hash(hm_input) {
409 Result::Err(_) => return false,
410 Result::Ok(hm) => hm,
411 };
412 let l = B8.mul_scalar(&sig.s);
413 let hm_b = BigInt::parse_bytes(to_hex(&hm).as_bytes(), 16).unwrap();
414 let r = sig
415 .r_b8
416 .projective()
417 .add(&pk.mul_scalar(&(8.to_bigint().unwrap() * hm_b)).projective());
418 l.equals(r.affine())
419}
420
421#[cfg(test)]
422mod tests {
423 use super::*;
424 extern crate rustc_hex;
425 use rustc_hex::{FromHex, ToHex};
426
427 #[test]
428 fn test_add_same_point() {
429 let p: PointProjective = PointProjective {
430 x: Fr::from_str(
431 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
432 )
433 .unwrap(),
434 y: Fr::from_str(
435 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
436 )
437 .unwrap(),
438 z: Fr::one(),
439 };
440 let q: PointProjective = PointProjective {
441 x: Fr::from_str(
442 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
443 )
444 .unwrap(),
445 y: Fr::from_str(
446 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
447 )
448 .unwrap(),
449 z: Fr::one(),
450 };
451 let res = p.add(&q).affine();
452 assert_eq!(
453 res.x,
454 Fr::from_str(
455 "6890855772600357754907169075114257697580319025794532037257385534741338397365"
456 )
457 .unwrap()
458 );
459 assert_eq!(
460 res.y,
461 Fr::from_str(
462 "4338620300185947561074059802482547481416142213883829469920100239455078257889"
463 )
464 .unwrap()
465 );
466 }
467 #[test]
468 fn test_add_different_points() {
469 let p: PointProjective = PointProjective {
470 x: Fr::from_str(
471 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
472 )
473 .unwrap(),
474 y: Fr::from_str(
475 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
476 )
477 .unwrap(),
478 z: Fr::one(),
479 };
480 let q: PointProjective = PointProjective {
481 x: Fr::from_str(
482 "16540640123574156134436876038791482806971768689494387082833631921987005038935",
483 )
484 .unwrap(),
485 y: Fr::from_str(
486 "20819045374670962167435360035096875258406992893633759881276124905556507972311",
487 )
488 .unwrap(),
489 z: Fr::one(),
490 };
491 let res = p.add(&q).affine();
492 assert_eq!(
493 res.x,
494 Fr::from_str(
495 "7916061937171219682591368294088513039687205273691143098332585753343424131937"
496 )
497 .unwrap()
498 );
499 assert_eq!(
500 res.y,
501 Fr::from_str(
502 "14035240266687799601661095864649209771790948434046947201833777492504781204499"
503 )
504 .unwrap()
505 );
506 }
507
508 #[test]
509 fn test_mul_scalar() {
510 let p: Point = Point {
511 x: Fr::from_str(
512 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
513 )
514 .unwrap(),
515 y: Fr::from_str(
516 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
517 )
518 .unwrap(),
519 };
520 let res_m = p.mul_scalar(&3.to_bigint().unwrap());
521 let res_a = p.projective().add(&p.projective());
522 let res_a = res_a.add(&p.projective()).affine();
523 assert_eq!(res_m.x, res_a.x);
524 assert_eq!(
525 res_m.x,
526 Fr::from_str(
527 "19372461775513343691590086534037741906533799473648040012278229434133483800898"
528 )
529 .unwrap()
530 );
531 assert_eq!(
532 res_m.y,
533 Fr::from_str(
534 "9458658722007214007257525444427903161243386465067105737478306991484593958249"
535 )
536 .unwrap()
537 );
538
539 let n = BigInt::parse_bytes(
540 b"14035240266687799601661095864649209771790948434046947201833777492504781204499",
541 10,
542 )
543 .unwrap();
544 let res2 = p.mul_scalar(&n);
545 assert_eq!(
546 res2.x,
547 Fr::from_str(
548 "17070357974431721403481313912716834497662307308519659060910483826664480189605"
549 )
550 .unwrap()
551 );
552 assert_eq!(
553 res2.y,
554 Fr::from_str(
555 "4014745322800118607127020275658861516666525056516280575712425373174125159339"
556 )
557 .unwrap()
558 );
559 }
560
561 #[test]
562 fn test_new_key_sign_verify_0() {
563 let sk = new_key();
564 let pk = sk.public();
565 let msg = 5.to_bigint().unwrap();
566 let sig = sk.sign(msg.clone()).unwrap();
567 let v = verify(pk, sig, msg);
568 assert_eq!(v, true);
569 }
570
571 #[test]
572 fn test_new_key_sign_verify_1() {
573 let sk = new_key();
574 let pk = sk.public();
575 let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
576 let sig = sk.sign(msg.clone()).unwrap();
577 let v = verify(pk, sig, msg);
578 assert_eq!(v, true);
579 }
580
581 #[test]
582 fn test_point_compress_decompress() {
583 let p: Point = Point {
584 x: Fr::from_str(
585 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
586 )
587 .unwrap(),
588 y: Fr::from_str(
589 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
590 )
591 .unwrap(),
592 };
593 let p_comp = p.compress();
594 assert_eq!(
595 p_comp[..].to_hex(),
596 "53b81ed5bffe9545b54016234682e7b2f699bd42a5e9eae27ff4051bc698ce85"
597 );
598 let p2 = decompress_point(p_comp).unwrap();
599 assert_eq!(p.x, p2.x);
600 assert_eq!(p.y, p2.y);
601 }
602
603 #[test]
604 fn test_point_decompress0() {
605 let y_bytes_raw = "b5328f8791d48f20bec6e481d91c7ada235f1facf22547901c18656b6c3e042f"
606 .from_hex()
607 .unwrap();
608 let mut y_bytes: [u8; 32] = [0; 32];
609 y_bytes.copy_from_slice(&y_bytes_raw);
610 let p = decompress_point(y_bytes).unwrap();
611
612 let expected_px_raw = "b86cc8d9c97daef0afe1a4753c54fb2d8a530dc74c7eee4e72b3fdf2496d2113"
613 .from_hex()
614 .unwrap();
615 let mut e_px_bytes: [u8; 32] = [0; 32];
616 e_px_bytes.copy_from_slice(&expected_px_raw);
617 let expected_px: Fr =
618 Fr::from_str(&BigInt::from_bytes_le(Sign::Plus, &e_px_bytes).to_string()).unwrap();
619 assert_eq!(&p.x, &expected_px);
620 }
621
622 #[test]
623 fn test_point_decompress1() {
624 let y_bytes_raw = "70552d3ff548e09266ded29b33ce75139672b062b02aa66bb0d9247ffecf1d0b"
625 .from_hex()
626 .unwrap();
627 let mut y_bytes: [u8; 32] = [0; 32];
628 y_bytes.copy_from_slice(&y_bytes_raw);
629 let p = decompress_point(y_bytes).unwrap();
630
631 let expected_px_raw = "30f1635ba7d56f9cb32c3ffbe6dca508a68c7f43936af11a23c785ce98cb3404"
632 .from_hex()
633 .unwrap();
634 let mut e_px_bytes: [u8; 32] = [0; 32];
635 e_px_bytes.copy_from_slice(&expected_px_raw);
636 let expected_px: Fr =
637 Fr::from_str(&BigInt::from_bytes_le(Sign::Plus, &e_px_bytes).to_string()).unwrap();
638 assert_eq!(&p.x, &expected_px);
639 }
640
641 #[test]
642 fn test_point_decompress_loop() {
643 for _ in 0..5 {
644 let random_bytes = rand6::thread_rng().gen::<[u8; 32]>();
645 let sk_raw: BigInt = BigInt::from_bytes_le(Sign::Plus, &random_bytes[..]);
646 let (_, sk_raw_bytes) = sk_raw.to_bytes_be();
647 let mut h = blake_hash::Blake512::digest(&sk_raw_bytes);
648
649 h[0] = h[0] & 0xF8;
650 h[31] = h[31] & 0x7F;
651 h[31] = h[31] | 0x40;
652
653 let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
654 let point = B8.mul_scalar(&sk);
655 let cmp_point = point.compress();
656 let dcmp_point = decompress_point(cmp_point).unwrap();
657
658 assert_eq!(&point.x, &dcmp_point.x);
659 assert_eq!(&point.y, &dcmp_point.y);
660 }
661 }
662
663 #[test]
664 fn test_signature_compress_decompress() {
665 let sk = new_key();
666 let pk = sk.public();
667
668 for i in 0..5 {
669 let msg_raw = "123456".to_owned() + &i.to_string();
670 let msg = BigInt::parse_bytes(msg_raw.as_bytes(), 10).unwrap();
671 let sig = sk.sign(msg.clone()).unwrap();
672
673 let compressed_sig = sig.compress();
674 let decompressed_sig = decompress_signature(&compressed_sig).unwrap();
675 assert_eq!(&sig.r_b8.x, &decompressed_sig.r_b8.x);
676 assert_eq!(&sig.r_b8.y, &decompressed_sig.r_b8.y);
677 assert_eq!(&sig.s, &decompressed_sig.s);
678
679 let v = verify(pk.clone(), decompressed_sig, msg);
680 assert_eq!(v, true);
681 }
682 }
683
684 #[test]
685 fn test_schnorr_signature() {
686 let sk = new_key();
687 let pk = sk.public();
688
689 let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
690 let (s, e) = sk.sign_schnorr(msg.clone()).unwrap();
691 let verification = verify_schnorr(pk, msg, s, e).unwrap();
692 assert_eq!(true, verification);
693 }
694
695 #[test]
696 fn test_circomlib_testvector() {
697 let sk_raw_bytes =
698 hex::decode("0001020304050607080900010203040506070809000102030405060708090001")
699 .unwrap();
700
701 // test blake compatible with circomlib implementation
702 let h = blake_hash::Blake512::digest(&sk_raw_bytes);
703 assert_eq!(h.to_hex(), "c992db23d6290c70ffcc02f7abeb00b9d00fa8b43e55d7949c28ba6be7545d3253882a61bd004a236ef1cdba01b27ba0aedfb08eefdbfb7c19657c880b43ddf1");
704
705 // test private key
706 let sk = PrivateKey::import(
707 hex::decode("0001020304050607080900010203040506070809000102030405060708090001")
708 .unwrap(),
709 )
710 .unwrap();
711 assert_eq!(
712 sk.scalar_key().to_string(),
713 "6466070937662820620902051049739362987537906109895538826186780010858059362905"
714 );
715
716 // test public key
717 let pk = sk.public();
718 assert_eq!(
719 pk.x.to_string(),
720 "Fr(0x1d5ac1f31407018b7d413a4f52c8f74463b30e6ac2238220ad8b254de4eaa3a2)"
721 );
722 assert_eq!(
723 pk.y.to_string(),
724 "Fr(0x1e1de8a908826c3f9ac2e0ceee929ecd0caf3b99b3ef24523aaab796a6f733c4)"
725 );
726
727 // test signature & verification
728 let msg = BigInt::from_bytes_le(Sign::Plus, &hex::decode("00010203040506070809").unwrap());
729 println!("msg {:?}", msg.to_string());
730 let sig = sk.sign(msg.clone()).unwrap();
731 assert_eq!(
732 sig.r_b8.x.to_string(),
733 "Fr(0x192b4e51adf302c8139d356d0e08e2404b5ace440ef41fc78f5c4f2428df0765)"
734 );
735 assert_eq!(
736 sig.r_b8.y.to_string(),
737 "Fr(0x2202bebcf57b820863e0acc88970b6ca7d987a0d513c2ddeb42e3f5d31b4eddf)"
738 );
739 assert_eq!(
740 sig.s.to_string(),
741 "1672775540645840396591609181675628451599263765380031905495115170613215233181"
742 );
743 let v = verify(pk, sig, msg);
744 assert_eq!(v, true);
745 }
746}