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use crate::{Fq, Fr};
use ark_ff::{
biginteger::BigInteger256 as BigInteger,
bytes::{FromBytes, ToBytes},
fields::{Field, LegendreSymbol::*, SquareRootField},
test_rng, One, Zero,
};
use ark_curve_tests::fields::*;
use core::str::FromStr;
use rand::Rng;
#[test]
fn test_fr() {
let mut rng = test_rng();
let a: Fr = rng.gen();
let b: Fr = rng.gen();
field_test(a, b);
primefield_test::<Fr>();
}
#[test]
fn test_fq() {
let mut rng = test_rng();
let a: Fq = rng.gen();
let b: Fq = rng.gen();
field_test(a, b);
primefield_test::<Fq>();
}
#[test]
fn test_fq_add() {
let f1 = Fq::from_str(
"18386742314266644595564329008376577163854043021652781768352795308532764650733",
)
.unwrap();
let f2 = Fq::from_str(
"39786307610986038981023499868190793548353538256264351797285876981647142458383",
)
.unwrap();
let f3 = Fq::from_str(
"14396564181574133132095017386052820535110852477085064878242263917028290117882",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f2.is_zero());
assert!(!f3.is_zero());
assert_eq!(f1 + &f2, f3);
}
#[test]
fn test_fq_add_one() {
let f1 = Fq::from_str(
"4946875394261337176810256604189376311946643975348516311606738923340201185904",
)
.unwrap();
let f2 = Fq::from_str(
"4946875394261337176810256604189376311946643975348516311606738923340201185905",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f2.is_zero());
assert_eq!(f1 + &Fq::one(), f2);
}
#[test]
fn test_fq_mul() {
let f1 = Fq::from_str(
"24703123148064348394273033316595937198355721297494556079070134653139656190956",
)
.unwrap();
let f2 = Fq::from_str(
"38196797080882758914424853878212529985425118523754343117256179679117054302131",
)
.unwrap();
let f3 = Fq::from_str(
"1321267396236123309645330145349353750536542060403774171357889269349508194307",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f2.is_zero());
assert!(!f3.is_zero());
assert_eq!(f1 * &f2, f3);
}
#[test]
fn test_fq_triple_mul() {
let f1 = Fq::from_str(
"23834398828139479510988224171342199299644042568628082836691700490363123893905",
)
.unwrap();
let f2 = Fq::from_str(
"48343809612844640454129919255697536258606705076971130519928764925719046689317",
)
.unwrap();
let f3 = Fq::from_str(
"22704845471524346880579660022678666462201713488283356385810726260959369106033",
)
.unwrap();
let f4 = Fq::from_str(
"7747776931431194635550680695131420638163057297019399136408144301550822179875",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f2.is_zero());
assert!(!f3.is_zero());
assert_eq!(f1 * &f2 * &f3, f4);
}
#[test]
fn test_fq_div() {
let f1 = Fq::from_str(
"31892744363926593013886463524057935370302352424137349660481695792871889573091",
)
.unwrap();
let f2 = Fq::from_str(
"47695868328933459965610498875668250916462767196500056002116961816137113470902",
)
.unwrap();
let f3 = Fq::from_str(
"7301086967624450577859019086314322648061398679982346993011603220910508457334",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f2.is_zero());
assert!(!f3.is_zero());
assert_eq!(f1 / &f2, f3);
}
#[test]
fn test_fq_sub() {
let f1 = Fq::from_str(
"18695869713129401390241150743745601908470616448391638969502807001833388904079",
)
.unwrap();
let f2 = Fq::from_str(
"10105476028534616828778879109836101003805485072436929139123765141153277007373",
)
.unwrap();
let f3 = Fq::from_str(
"8590393684594784561462271633909500904665131375954709830379041860680111896706",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f2.is_zero());
assert!(!f3.is_zero());
assert_eq!(f1 - &f2, f3);
}
#[test]
fn test_fq_double_in_place() {
let mut f1 = Fq::from_str(
"29729289787452206300641229002276778748586801323231253291984198106063944136114",
)
.unwrap();
let f3 = Fq::from_str(
"15682093831225862156789646514039007320076873845630437896571987838976271280994",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f3.is_zero());
f1.double_in_place();
assert_eq!(f1, f3);
}
#[test]
fn test_fq_double_in_place_thrice() {
let mut f1 = Fq::from_str(
"32768907806651393940832831055386272949401004221411141755415956893066040832473",
)
.unwrap();
let f3 = Fq::from_str(
"21380590862979124081952185245260157621176025366712756262647409092194433207997",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f3.is_zero());
f1.double_in_place();
f1.double_in_place();
f1.double_in_place();
assert_eq!(f1, f3);
}
#[test]
fn test_fq_generate_random_ed_on_bn254_point() {
let a = Fq::from_str("168700").unwrap();
let d = Fq::from_str("168696").unwrap();
let y = Fq::from_str(
"19987327827845206670850937090314462639017692512983955920885166014935289314257",
)
.unwrap();
let x2 = Fq::from_str(
"2144239075372598103060889495211040948751593385312551803225522963913923559328",
)
.unwrap();
let computed_y2 = y.square();
let y2 = Fq::from_str(
"11134206686211572308995578277928848431421308813024790181507137950838333998633",
)
.unwrap();
assert_eq!(y2, computed_y2);
let computed_dy2 = d * &computed_y2;
let dy2 =
Fq::from_str("345576003677591687256955722467813448317229128849323754147891993737799010947")
.unwrap();
assert_eq!(dy2, computed_dy2);
let computed_divisor = computed_dy2 - a;
let divisor =
Fq::from_str("345576003677591687256955722467813448317229128849323754147891993737798842247")
.unwrap();
assert_eq!(divisor, computed_divisor);
let computed_x2 = (computed_y2 - &Fq::one()) / &computed_divisor;
assert_eq!(x2, computed_x2);
let x = Fq::from_str(
"4801447892755635304907919953550459075619191823587157449340656925102682829025",
)
.unwrap();
let computed_x = computed_x2.sqrt().unwrap();
assert_eq!(computed_x.square(), x2);
assert_eq!(x, computed_x);
fn add<'a>(curr: (Fq, Fq), other: &'a (Fq, Fq)) -> (Fq, Fq) {
let y1y2 = curr.1 * &other.1;
let x1x2 = curr.0 * &other.0;
let a = Fq::from_str("168700").unwrap();
let d = Fq::from_str("168696").unwrap();
let dx1x2y1y2 = d * &y1y2 * &x1x2;
let d1 = Fq::one() + &dx1x2y1y2;
let d2 = Fq::one() - &dx1x2y1y2;
let x1y2 = curr.0 * &other.1;
let y1x2 = curr.1 * &other.0;
let x = (x1y2 + &y1x2) / &d1;
let y = (y1y2 - a * &x1x2) / &d2;
(x, y)
}
let result = add((x, y), &(x, y));
let result = add(result, &result);
let result = add(result, &result);
let point_x =
Fq::from_str("380676173762867192861894055350059333852732198308367125138259398265363727587")
.unwrap();
let point_y = Fq::from_str(
"8435074244857818446059206728316702149733931432112984450960434710303841866985",
)
.unwrap();
assert_eq!((point_x, point_y), result);
}
#[test]
fn test_fq_square_in_place() {
let mut f1 = Fq::from_str(
"6060110850233386730847324622937480088943976359504617699731744947670229990461",
)
.unwrap();
let f3 = Fq::from_str(
"17018926051730832095053393285350575966874590491719897015583930476179087429684",
)
.unwrap();
assert!(!f1.is_zero());
assert!(!f3.is_zero());
f1.square_in_place();
assert_eq!(f1, f3);
}
#[test]
fn test_fq_sqrt() {
let f1 = Fq::from_str(
"5830207146824777307592559303161432403393380070279905260050870500920682305217",
)
.unwrap();
let f3 = Fq::from_str(
"2108183130040740552565127577293974960058698876185401671087892009247563211475",
)
.unwrap();
assert_eq!(f1.sqrt().unwrap(), f3);
}
#[test]
fn test_fq_from_str() {
let f1_from_repr = Fq::from(BigInteger([
0xab8a2535947d1a77,
0x9ba74cbfda0bbcda,
0xe928b59724d60baf,
0x1cccaaeb9bb1680a,
]));
let f1 = Fq::from_str(
"13026376210409056429264774981357153555336288129100724591327877625017068755575",
)
.unwrap();
let f2_from_repr = Fq::from(BigInteger([
0x97e9103775d2f35c,
0xbe6756b6c587544b,
0x6ee38c3afd88ef4b,
0x2bacd150f540c677,
]));
let f2 = Fq::from_str(
"19754794831832707859764530223239420866832328728734160755396495950822165902172",
)
.unwrap();
assert_eq!(f1_from_repr, f1);
assert_eq!(f2_from_repr, f2);
}
#[test]
fn test_fq_legendre() {
assert_eq!(QuadraticResidue, Fq::one().legendre());
assert_eq!(Zero, Fq::zero().legendre());
let e = BigInteger([
0x2e8de1a676c03be8,
0x73350d34fe25a560,
0x7ea085919029688e,
0x1d0868cb993cf28,
]);
assert_eq!(QuadraticResidue, Fq::from(e).legendre());
let e = BigInteger([
0x891d8cc23c8d0706,
0xe91800e007db2698,
0xfff380321e9ac7a7,
0x2659e28bd17eab6,
]);
assert_eq!(QuadraticNonResidue, Fq::from(e).legendre());
}
#[test]
fn test_fq_bytes() {
let f1_from_repr = Fq::from(BigInteger([
0xab8a2535947d1a77,
0x9ba74cbfda0bbcda,
0xe928b59724d60baf,
0x1cccaaeb9bb1680a,
]));
let mut f1_bytes = [0u8; 32];
f1_from_repr.write(f1_bytes.as_mut()).unwrap();
let f1 = Fq::read(f1_bytes.as_ref()).unwrap();
assert_eq!(f1_from_repr, f1);
}
#[test]
fn test_fr_add() {
let f1 = Fr::from(BigInteger([
0xccfc9a195e0f5c46,
0xaed4874d13fb1285,
0x27368f86ca2848eb,
0x4f8adcfeb44fccc,
]));
let f2 = Fr::from(BigInteger([
0x661ff05bf8570851,
0x1b171f4c59be97ef,
0x5d2ce7f9b4d701f3,
0x1e0e794623e0f68,
]));
let f3 = Fr::from(BigInteger([
0xcba9f2991d453da6,
0x1eacb8e13498bc6a,
0x4d596ec9aecf1fd3,
0xcd0b95f15cd82f,
]));
assert_eq!(f1 + &f2, f3);
}
#[test]
fn test_fr_mul() {
let f1 = Fr::from(BigInteger([
0xc2964d2dd5fb980f,
0xbab64d599c57e496,
0x39cae13e7d1d4f78,
0x1aa995aa4de205c,
]));
let f2 = Fr::from(BigInteger([
0xc256e720cd43533b,
0x3bfbadf6247e13bb,
0x94c3d63a53714f63,
0x10f8a7bf74efd57,
]));
let f3 = Fr::from(BigInteger([
0x5eac88be41e0e1fd,
0x57aab36675b11e24,
0x835582d896b4d13f,
0x4808736e213036e,
]));
assert_eq!(f1 * &f2, f3);
}
#[test]
fn test_fr_bytes() {
let f1_from_repr = Fr::from(BigInteger([
0xc81265fb4130fe0c,
0xb308836c14e22279,
0x699e887f96bff372,
0x84ecc7e76c11ad,
]));
let mut f1_bytes = [0u8; 32];
f1_from_repr.write(f1_bytes.as_mut()).unwrap();
let f1 = Fr::read(f1_bytes.as_ref()).unwrap();
assert_eq!(f1_from_repr, f1);
}
#[test]
fn test_fr_from_str() {
let f100_from_repr = Fr::from(BigInteger([0x64, 0, 0, 0]));
let f100 = Fr::from_str("100").unwrap();
assert_eq!(f100_from_repr, f100);
}
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