babyjubjub-ark/src/lib.rs
src/lib.rsRaw
1// WARNING still updating the code, it works, but is still in process the refactor.
2
3extern crate rand;
4#[macro_use]
5extern crate ff;
6use ff::*;
7
8use poseidon_rs::Poseidon;
9pub type Fr = poseidon_rs::Fr; // alias
10
11#[macro_use]
12extern crate arrayref;
13extern crate generic_array;
14extern crate mimc_rs;
15extern crate num;
16extern crate num_bigint;
17extern crate num_traits;
18
19extern crate rand6;
20use rand6::Rng;
21
22use blake2::{Blake2b, Digest};
23use mimc_rs::Mimc7;
24use std::cmp::min;
25
26use num_bigint::{BigInt, RandBigInt, RandomBits, Sign, ToBigInt};
27use num_traits::{One, Zero};
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 // pub static ref Q: Fr = Fr::from_str(
46 // "21888242871839275222246405745257275088548364400416034343698204186575808495617"
47 // )
48 // .unwrap();
49 static ref B8: Point = Point {
50 x: Fr::from_str(
51 "5299619240641551281634865583518297030282874472190772894086521144482721001553",
52 )
53 .unwrap(),
54 y: Fr::from_str(
55 "16950150798460657717958625567821834550301663161624707787222815936182638968203",
56 )
57 .unwrap(),
58 // z: Fr::one(),
59 };
60 static ref ORDER: Fr = Fr::from_str(
61 "21888242871839275222246405745257275088614511777268538073601725287587578984328",
62 )
63 .unwrap();
64
65 // SUBORDER = ORDER >> 3
66 // static ref SUBORDER: Fr = Fr::from_str(
67 // "i2736030358979909402780800718157159386076813972158567259200215660948447373041",
68 // )
69 // .unwrap();
70 static ref SUBORDER: BigInt = &BigInt::parse_bytes(
71 b"21888242871839275222246405745257275088614511777268538073601725287587578984328",
72 10,
73 )
74 .unwrap()
75 >> 3;
76}
77
78#[derive(Clone, Debug)]
79pub struct PointProjective {
80 pub x: Fr,
81 pub y: Fr,
82 pub z: Fr,
83}
84
85impl PointProjective {
86 pub fn affine(&self) -> Point {
87 if self.z.is_zero() {
88 return Point {
89 x: Fr::zero(),
90 y: Fr::zero(),
91 };
92 }
93
94 let mut zinv = self.z.inverse().unwrap();
95 let mut x = self.x;
96 x.mul_assign(&zinv);
97 let mut y = self.y;
98 y.mul_assign(&zinv);
99
100 Point {
101 x: x.clone(),
102 y: y.clone(),
103 }
104 }
105 pub fn add(&self, q: &PointProjective) -> Result<PointProjective, String> {
106 // add-2008-bbjlp https://hyperelliptic.org/EFD/g1p/auto-twisted-projective.html#doubling-dbl-2008-bbjlp
107 let mut a = self.z;
108 a.mul_assign(&q.z);
109 let mut b = a;
110 b.square();
111 let mut c = self.x;
112 c.mul_assign(&q.x);
113 let mut d = self.y;
114 d.mul_assign(&q.y);
115 let mut e = D.clone();
116 e.mul_assign(&c);
117 e.mul_assign(&d);
118 let mut f = b;
119 f.sub_assign(&e);
120 let mut g = b;
121 g.add_assign(&e);
122 let mut x1y1 = self.x;
123 x1y1.add_assign(&self.y);
124 let mut x2y2 = q.x;
125 x2y2.add_assign(&q.y);
126 let mut aux = x1y1;
127 aux.mul_assign(&x2y2);
128 aux.sub_assign(&c);
129 aux.sub_assign(&d);
130 let mut x3 = a;
131 x3.mul_assign(&f);
132 x3.mul_assign(&aux);
133 let mut ac = A.clone();
134 ac.mul_assign(&c);
135 let mut dac = d;
136 dac.sub_assign(&ac);
137 let mut y3 = a;
138 y3.mul_assign(&g);
139 y3.mul_assign(&dac);
140 let mut z3 = f;
141 z3.mul_assign(&g);
142
143 Ok(PointProjective {
144 x: x3.clone(),
145 y: y3.clone(),
146 z: z3.clone(),
147 })
148 }
149}
150
151#[derive(Clone, Debug)]
152pub struct Point {
153 pub x: Fr,
154 pub y: Fr,
155}
156
157impl Point {
158 pub fn projective(&self) -> PointProjective {
159 PointProjective {
160 x: self.x.clone(),
161 y: self.y.clone(),
162 z: Fr::one(),
163 }
164 }
165
166 pub fn mul_scalar(&self, n: &BigInt) -> Result<Point, String> {
167 let mut r: PointProjective = PointProjective {
168 x: Fr::zero(),
169 y: Fr::one(),
170 z: Fr::one(),
171 };
172 let mut exp: PointProjective = self.projective();
173 let (_, b) = n.to_bytes_le();
174 for i in 0..n.bits() {
175 if test_bit(&b, i) {
176 r = r.add(&exp)?;
177 }
178 exp = exp.add(&exp)?;
179 }
180 Ok(r.affine())
181 }
182
183 pub fn compress(&self) -> [u8; 32] {
184 let p = &self;
185 let mut r: [u8; 32] = [0; 32];
186 let x_big = BigInt::parse_bytes(to_hex(&p.x).as_bytes(), 16).unwrap();
187 let y_big = BigInt::parse_bytes(to_hex(&p.y).as_bytes(), 16).unwrap();
188 let (_, y_bytes) = y_big.to_bytes_le();
189 let len = min(y_bytes.len(), r.len());
190 r[..len].copy_from_slice(&y_bytes[..len]);
191 if &x_big > &(&Q.clone() >> 1) {
192 r[31] = r[31] | 0x80;
193 }
194 r
195 }
196
197 pub fn equals(&self, p: Point) -> bool {
198 if self.x == p.x && self.y == p.y {
199 return true;
200 }
201 false
202 }
203}
204
205pub fn test_bit(b: &Vec<u8>, i: usize) -> bool {
206 return b[i / 8] & (1 << (i % 8)) != 0;
207}
208
209pub fn decompress_point(bb: [u8; 32]) -> Result<Point, String> {
210 // https://tools.ietf.org/html/rfc8032#section-5.2.3
211 let mut sign: bool = false;
212 let mut b = bb.clone();
213 if b[31] & 0x80 != 0x00 {
214 sign = true;
215 b[31] = b[31] & 0x7F;
216 }
217 let y: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[..]);
218 if y >= Q.clone() {
219 return Err("y outside the Finite Field over R".to_string());
220 }
221 let one: BigInt = One::one();
222
223 // x^2 = (1 - y^2) / (a - d * y^2) (mod p)
224 let den = utils::modinv(
225 &utils::modulus(
226 &(&A_big.clone() - utils::modulus(&(&D_big.clone() * (&y * &y)), &Q)),
227 &Q,
228 ),
229 &Q,
230 )?;
231 let mut x: BigInt = utils::modulus(&((one - utils::modulus(&(&y * &y), &Q)) * den), &Q);
232 x = utils::modsqrt(&x, &Q)?;
233
234 if sign && !(&x > &(&Q.clone() >> 1)) || (!sign && (&x > &(&Q.clone() >> 1))) {
235 x = x * -1.to_bigint().unwrap();
236 }
237 x = utils::modulus(&x, &Q);
238 let x_fr: Fr = Fr::from_str(&x.to_string()).unwrap();
239 let y_fr: Fr = Fr::from_str(&y.to_string()).unwrap();
240 Ok(Point { x: x_fr, y: y_fr })
241}
242
243#[derive(Debug, Clone)]
244pub struct Signature {
245 r_b8: Point,
246 s: BigInt,
247}
248
249impl Signature {
250 pub fn compress(&self) -> [u8; 64] {
251 let mut b: Vec<u8> = Vec::new();
252 b.append(&mut self.r_b8.compress().to_vec());
253 let (_, s_bytes) = self.s.to_bytes_le();
254 let mut s_32bytes: [u8; 32] = [0; 32];
255 let len = min(s_bytes.len(), s_32bytes.len());
256 s_32bytes[..len].copy_from_slice(&s_bytes[..len]);
257 b.append(&mut s_32bytes.to_vec());
258 let mut r: [u8; 64] = [0; 64];
259 r[..].copy_from_slice(&b[..]);
260 r
261 }
262}
263
264pub fn decompress_signature(b: &[u8; 64]) -> Result<Signature, String> {
265 let r_b8_bytes: [u8; 32] = *array_ref!(b[..32], 0, 32);
266 let s: BigInt = BigInt::from_bytes_le(Sign::Plus, &b[32..]);
267 let r_b8 = decompress_point(r_b8_bytes);
268 match r_b8 {
269 Result::Err(err) => return Err(err.to_string()),
270 Result::Ok(res) => Ok(Signature {
271 r_b8: res.clone(),
272 s: s,
273 }),
274 }
275}
276
277pub struct PrivateKey {
278 key: BigInt,
279}
280
281impl PrivateKey {
282 pub fn public(&self) -> Result<Point, String> {
283 // https://tools.ietf.org/html/rfc8032#section-5.1.5
284 let pk = B8.mul_scalar(&self.key)?;
285 Ok(pk.clone())
286 }
287
288 pub fn sign(&self, msg: BigInt) -> Result<Signature, String> {
289 if msg > Q.clone() {
290 return Err("msg outside the Finite Field".to_string());
291 }
292 // https://tools.ietf.org/html/rfc8032#section-5.1.6
293 let mut hasher = Blake2b::new();
294 let (_, sk_bytes) = self.key.to_bytes_be();
295 hasher.input(sk_bytes);
296 let mut h = hasher.result(); // h: hash(sk)
297 // s: h[32:64]
298 let (_, msg_bytes) = msg.to_bytes_be();
299 let msgFr: Fr = Fr::from_str(&msg.to_string()).unwrap();
300
301 let s = GenericArray::<u8, generic_array::typenum::U32>::from_mut_slice(&mut h[32..64]);
302 let r_bytes = utils::concatenate_arrays(s, &msg_bytes);
303 let mut r = BigInt::from_bytes_be(Sign::Plus, &r_bytes[..]);
304 r = utils::modulus(&r, &SUBORDER);
305 let r8: Point = B8.mul_scalar(&r)?;
306 let a = &self.public()?;
307
308 let hm_input = vec![r8.x.clone(), r8.y.clone(), a.x.clone(), a.y.clone(), msgFr];
309 let poseidon = Poseidon::new();
310 let hm = poseidon.hash(hm_input)?;
311
312 let mut s = &self.key << 3;
313 let hmB = BigInt::parse_bytes(to_hex(&hm).as_bytes(), 16).unwrap();
314 s = hmB * s;
315 s = r + s;
316 s = s % &SUBORDER.clone();
317
318 Ok(Signature {
319 r_b8: r8.clone(),
320 s: s,
321 })
322 }
323
324 pub fn sign_schnorr(&self, m: BigInt) -> Result<(Point, BigInt), String> {
325 // random r
326 let mut rng = rand6::thread_rng();
327 let k = rng.gen_biguint(1024).to_bigint().unwrap();
328
329 // r = k·G
330 let r = B8.mul_scalar(&k)?;
331
332 // h = H(x, r, m)
333 let pk = &self.public()?;
334 let h = schnorr_hash(&pk, m, &r)?;
335
336 // s= k+x·h
337 let s = k + &self.key * &h;
338 Ok((r, s))
339 }
340}
341
342pub fn schnorr_hash(pk: &Point, msg: BigInt, c: &Point) -> Result<BigInt, String> {
343 if msg > Q.clone() {
344 return Err("msg outside the Finite Field".to_string());
345 }
346 let msgFr: Fr = Fr::from_str(&msg.to_string()).unwrap();
347 let hm_input = vec![pk.x.clone(), pk.y.clone(), c.x.clone(), c.y.clone(), msgFr];
348 let poseidon = Poseidon::new();
349 let h = poseidon.hash(hm_input)?;
350 println!("h {:?}", h.to_string());
351 let hB = BigInt::parse_bytes(to_hex(&h).as_bytes(), 16).unwrap();
352 Ok(hB)
353}
354
355pub fn verify_schnorr(pk: Point, m: BigInt, r: Point, s: BigInt) -> Result<bool, String> {
356 // sG = s·G
357 let sg = B8.mul_scalar(&s)?;
358
359 // r + h · x
360 let h = schnorr_hash(&pk, m, &r)?;
361 let pk_h = pk.mul_scalar(&h)?;
362 let right = r.projective().add(&pk_h.projective())?;
363
364 Ok(sg.equals(right.affine()))
365}
366
367pub fn new_key() -> PrivateKey {
368 // https://tools.ietf.org/html/rfc8032#section-5.1.5
369 let mut rng = rand6::thread_rng();
370 let sk_raw = rng.gen_biguint(1024).to_bigint().unwrap();
371
372 let mut hasher = Blake2b::new();
373 let (_, sk_raw_bytes) = sk_raw.to_bytes_be();
374 hasher.input(sk_raw_bytes);
375 let mut h = hasher.result();
376
377 h[0] = h[0] & 0xF8;
378 h[31] = h[31] & 0x7F;
379 h[31] = h[31] | 0x40;
380
381 let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
382
383 PrivateKey { key: sk }
384}
385
386pub fn verify(pk: Point, sig: Signature, msg: BigInt) -> bool {
387 if msg > Q.clone() {
388 return false;
389 }
390 let (_, msg_bytes) = msg.to_bytes_be();
391 let msgFr: Fr = Fr::from_str(&msg.to_string()).unwrap();
392 let hm_input = vec![
393 sig.r_b8.x.clone(),
394 sig.r_b8.y.clone(),
395 pk.x.clone(),
396 pk.y.clone(),
397 msgFr,
398 ];
399 let poseidon = Poseidon::new();
400 let hm = match poseidon.hash(hm_input) {
401 Result::Err(_) => return false,
402 Result::Ok(hm) => hm,
403 };
404 let l = match B8.mul_scalar(&sig.s) {
405 Result::Err(_) => return false,
406 Result::Ok(l) => l,
407 };
408 let hmB = BigInt::parse_bytes(to_hex(&hm).as_bytes(), 16).unwrap();
409 let r = match sig.r_b8.projective().add(
410 &pk.mul_scalar(&(8.to_bigint().unwrap() * hmB))
411 .unwrap()
412 .projective(),
413 ) {
414 Result::Err(_) => return false,
415 Result::Ok(r) => r,
416 };
417 l.equals(r.affine())
418}
419
420#[cfg(test)]
421mod tests {
422 use super::*;
423 extern crate rustc_hex;
424 use rustc_hex::{FromHex, ToHex};
425
426 #[test]
427 fn test_add_same_point() {
428 let p: PointProjective = PointProjective {
429 x: Fr::from_str(
430 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
431 )
432 .unwrap(),
433 y: Fr::from_str(
434 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
435 )
436 .unwrap(),
437 z: Fr::one(),
438 };
439 let q: PointProjective = PointProjective {
440 x: Fr::from_str(
441 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
442 )
443 .unwrap(),
444 y: Fr::from_str(
445 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
446 )
447 .unwrap(),
448 z: Fr::one(),
449 };
450 let res = p.add(&q).unwrap().affine();
451 assert_eq!(
452 res.x,
453 Fr::from_str(
454 "6890855772600357754907169075114257697580319025794532037257385534741338397365"
455 )
456 .unwrap()
457 );
458 assert_eq!(
459 res.y,
460 Fr::from_str(
461 "4338620300185947561074059802482547481416142213883829469920100239455078257889"
462 )
463 .unwrap()
464 );
465 }
466 #[test]
467 fn test_add_different_points() {
468 let p: PointProjective = PointProjective {
469 x: Fr::from_str(
470 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
471 )
472 .unwrap(),
473 y: Fr::from_str(
474 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
475 )
476 .unwrap(),
477 z: Fr::one(),
478 };
479 let q: PointProjective = PointProjective {
480 x: Fr::from_str(
481 "16540640123574156134436876038791482806971768689494387082833631921987005038935",
482 )
483 .unwrap(),
484 y: Fr::from_str(
485 "20819045374670962167435360035096875258406992893633759881276124905556507972311",
486 )
487 .unwrap(),
488 z: Fr::one(),
489 };
490 let res = p.add(&q).unwrap().affine();
491 assert_eq!(
492 res.x,
493 Fr::from_str(
494 "7916061937171219682591368294088513039687205273691143098332585753343424131937"
495 )
496 .unwrap()
497 );
498 assert_eq!(
499 res.y,
500 Fr::from_str(
501 "14035240266687799601661095864649209771790948434046947201833777492504781204499"
502 )
503 .unwrap()
504 );
505 }
506
507 #[test]
508 fn test_mul_scalar() {
509 let p: Point = Point {
510 x: Fr::from_str(
511 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
512 )
513 .unwrap(),
514 y: Fr::from_str(
515 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
516 )
517 .unwrap(),
518 };
519 let res_m = p.mul_scalar(&3.to_bigint().unwrap()).unwrap();
520 let res_a = p.projective().add(&p.projective()).unwrap();
521 let res_a = res_a.add(&p.projective()).unwrap().affine();
522 assert_eq!(res_m.x, res_a.x);
523 assert_eq!(
524 res_m.x,
525 Fr::from_str(
526 "19372461775513343691590086534037741906533799473648040012278229434133483800898"
527 )
528 .unwrap()
529 );
530 assert_eq!(
531 res_m.y,
532 Fr::from_str(
533 "9458658722007214007257525444427903161243386465067105737478306991484593958249"
534 )
535 .unwrap()
536 );
537
538 let n = BigInt::parse_bytes(
539 b"14035240266687799601661095864649209771790948434046947201833777492504781204499",
540 10,
541 )
542 .unwrap();
543 let res2 = p.mul_scalar(&n).unwrap();
544 assert_eq!(
545 res2.x,
546 Fr::from_str(
547 "17070357974431721403481313912716834497662307308519659060910483826664480189605"
548 )
549 .unwrap()
550 );
551 assert_eq!(
552 res2.y,
553 Fr::from_str(
554 "4014745322800118607127020275658861516666525056516280575712425373174125159339"
555 )
556 .unwrap()
557 );
558 }
559
560 // #[test]
561 // fn test_new_key_sign_verify_mimc_0() {
562 // let sk = new_key();
563 // let pk = sk.public().unwrap();
564 // let msg = 5.to_bigint().unwrap();
565 // let sig = sk.sign_mimc(msg.clone()).unwrap();
566 // let v = verify_mimc(pk, sig, msg);
567 // assert_eq!(v, true);
568 // }
569 //
570 // #[test]
571 // fn test_new_key_sign_verify_mimc_1() {
572 // let sk = new_key();
573 // let pk = sk.public().unwrap();
574 // let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
575 // let sig = sk.sign_mimc(msg.clone()).unwrap();
576 // let v = verify_mimc(pk, sig, msg);
577 // assert_eq!(v, true);
578 // }
579
580 #[test]
581 fn test_new_key_sign_verify_0() {
582 let sk = new_key();
583 let pk = sk.public().unwrap();
584 let msg = 5.to_bigint().unwrap();
585 let sig = sk.sign(msg.clone()).unwrap();
586 let v = verify(pk, sig, msg);
587 assert_eq!(v, true);
588 }
589
590 #[test]
591 fn test_new_key_sign_verify_1() {
592 let sk = new_key();
593 let pk = sk.public().unwrap();
594 let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
595 let sig = sk.sign(msg.clone()).unwrap();
596 let v = verify(pk, sig, msg);
597 assert_eq!(v, true);
598 }
599
600 #[test]
601 fn test_point_compress_decompress() {
602 let p: Point = Point {
603 x: Fr::from_str(
604 "17777552123799933955779906779655732241715742912184938656739573121738514868268",
605 )
606 .unwrap(),
607 y: Fr::from_str(
608 "2626589144620713026669568689430873010625803728049924121243784502389097019475",
609 )
610 .unwrap(),
611 };
612 let p_comp = p.compress();
613 assert_eq!(
614 p_comp[..].to_hex(),
615 "53b81ed5bffe9545b54016234682e7b2f699bd42a5e9eae27ff4051bc698ce85"
616 );
617 let p2 = decompress_point(p_comp).unwrap();
618 assert_eq!(p.x, p2.x);
619 assert_eq!(p.y, p2.y);
620 }
621
622 #[test]
623 fn test_point_decompress0() {
624 let y_bytes_raw = "b5328f8791d48f20bec6e481d91c7ada235f1facf22547901c18656b6c3e042f"
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 = "b86cc8d9c97daef0afe1a4753c54fb2d8a530dc74c7eee4e72b3fdf2496d2113"
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_decompress1() {
643 let y_bytes_raw = "70552d3ff548e09266ded29b33ce75139672b062b02aa66bb0d9247ffecf1d0b"
644 .from_hex()
645 .unwrap();
646 let mut y_bytes: [u8; 32] = [0; 32];
647 y_bytes.copy_from_slice(&y_bytes_raw);
648 let p = decompress_point(y_bytes).unwrap();
649
650 let expected_px_raw = "30f1635ba7d56f9cb32c3ffbe6dca508a68c7f43936af11a23c785ce98cb3404"
651 .from_hex()
652 .unwrap();
653 let mut e_px_bytes: [u8; 32] = [0; 32];
654 e_px_bytes.copy_from_slice(&expected_px_raw);
655 let expected_px: Fr =
656 Fr::from_str(&BigInt::from_bytes_le(Sign::Plus, &e_px_bytes).to_string()).unwrap();
657 assert_eq!(&p.x, &expected_px);
658 }
659
660 #[test]
661 fn test_point_decompress_loop() {
662 for _ in 0..5 {
663 let random_bytes = rand6::thread_rng().gen::<[u8; 32]>();
664 let sk_raw: BigInt = BigInt::from_bytes_le(Sign::Plus, &random_bytes[..]);
665 let mut hasher = Blake2b::new();
666 let (_, sk_raw_bytes) = sk_raw.to_bytes_be();
667 hasher.input(sk_raw_bytes);
668 let mut h = hasher.result();
669
670 h[0] = h[0] & 0xF8;
671 h[31] = h[31] & 0x7F;
672 h[31] = h[31] | 0x40;
673
674 let sk = BigInt::from_bytes_le(Sign::Plus, &h[..]);
675 let point = B8.mul_scalar(&sk).unwrap();
676 let cmp_point = point.compress();
677 let dcmp_point = decompress_point(cmp_point).unwrap();
678
679 assert_eq!(&point.x, &dcmp_point.x);
680 assert_eq!(&point.y, &dcmp_point.y);
681 }
682 }
683
684 #[test]
685 fn test_signature_compress_decompress() {
686 let sk = new_key();
687 let pk = sk.public().unwrap();
688
689 for i in 0..5 {
690 let msg_raw = "123456".to_owned() + &i.to_string();
691 let msg = BigInt::parse_bytes(msg_raw.as_bytes(), 10).unwrap();
692 let sig = sk.sign(msg.clone()).unwrap();
693
694 let compressed_sig = sig.compress();
695 let decompressed_sig = decompress_signature(&compressed_sig).unwrap();
696 assert_eq!(&sig.r_b8.x, &decompressed_sig.r_b8.x);
697 assert_eq!(&sig.r_b8.y, &decompressed_sig.r_b8.y);
698 assert_eq!(&sig.s, &decompressed_sig.s);
699
700 let v = verify(pk.clone(), decompressed_sig, msg);
701 assert_eq!(v, true);
702 }
703 }
704
705 #[test]
706 fn test_schnorr_signature() {
707 let sk = new_key();
708 let pk = sk.public().unwrap();
709
710 let msg = BigInt::parse_bytes(b"123456789012345678901234567890", 10).unwrap();
711 let (s, e) = sk.sign_schnorr(msg.clone()).unwrap();
712 println!("s {:?}", s.x.to_string());
713 println!("s {:?}", s.y.to_string());
714 println!("e {:?}", e.to_string());
715 let verification = verify_schnorr(pk, msg, s, e).unwrap();
716 assert_eq!(true, verification);
717 }
718}