1use ark_algebra_test_templates::{
  2    fields::*, generate_field_serialization_test, generate_field_test,
  3};
  4use ark_ff::{
  5    biginteger::BigInteger256 as BigInteger,
  6    fields::{Field, LegendreSymbol::*, PrimeField},
  7    One, UniformRand, Zero,
  8};
  9use ark_serialize::{buffer_bit_byte_size, CanonicalSerialize};
 10use ark_std::{rand::Rng, str::FromStr, test_rng};
 11use core::ops::{AddAssign, MulAssign, SubAssign};
 12
 13use crate::{Fq, FqConfig, Fr, FrConfig};
 14
 15generate_field_test!(ed_on_bn254; mont(4, 4); );
 16generate_field_serialization_test!(ed_on_bn254;);
 17
 18#[test]
 19fn test_fq_add() {
 20    let f1 = Fq::from_str(
 21        "18386742314266644595564329008376577163854043021652781768352795308532764650733",
 22    )
 23    .unwrap();
 24    let f2 = Fq::from_str(
 25        "39786307610986038981023499868190793548353538256264351797285876981647142458383",
 26    )
 27    .unwrap();
 28    let f3 = Fq::from_str(
 29        "14396564181574133132095017386052820535110852477085064878242263917028290117882",
 30    )
 31    .unwrap();
 32    assert!(!f1.is_zero());
 33    assert!(!f2.is_zero());
 34    assert!(!f3.is_zero());
 35    assert_eq!(f1 + &f2, f3);
 36}
 37
 38#[test]
 39fn test_fq_add_one() {
 40    let f1 = Fq::from_str(
 41        "4946875394261337176810256604189376311946643975348516311606738923340201185904",
 42    )
 43    .unwrap();
 44    let f2 = Fq::from_str(
 45        "4946875394261337176810256604189376311946643975348516311606738923340201185905",
 46    )
 47    .unwrap();
 48    assert!(!f1.is_zero());
 49    assert!(!f2.is_zero());
 50    assert_eq!(f1 + &Fq::one(), f2);
 51}
 52
 53#[test]
 54fn test_fq_mul() {
 55    let f1 = Fq::from_str(
 56        "24703123148064348394273033316595937198355721297494556079070134653139656190956",
 57    )
 58    .unwrap();
 59    let f2 = Fq::from_str(
 60        "38196797080882758914424853878212529985425118523754343117256179679117054302131",
 61    )
 62    .unwrap();
 63    let f3 = Fq::from_str(
 64        "1321267396236123309645330145349353750536542060403774171357889269349508194307",
 65    )
 66    .unwrap();
 67    assert!(!f1.is_zero());
 68    assert!(!f2.is_zero());
 69    assert!(!f3.is_zero());
 70    assert_eq!(f1 * &f2, f3);
 71}
 72
 73#[test]
 74fn test_fq_triple_mul() {
 75    let f1 = Fq::from_str(
 76        "23834398828139479510988224171342199299644042568628082836691700490363123893905",
 77    )
 78    .unwrap();
 79    let f2 = Fq::from_str(
 80        "48343809612844640454129919255697536258606705076971130519928764925719046689317",
 81    )
 82    .unwrap();
 83    let f3 = Fq::from_str(
 84        "22704845471524346880579660022678666462201713488283356385810726260959369106033",
 85    )
 86    .unwrap();
 87    let f4 = Fq::from_str(
 88        "7747776931431194635550680695131420638163057297019399136408144301550822179875",
 89    )
 90    .unwrap();
 91    assert!(!f1.is_zero());
 92    assert!(!f2.is_zero());
 93    assert!(!f3.is_zero());
 94    assert_eq!(f1 * &f2 * &f3, f4);
 95}
 96
 97#[test]
 98fn test_fq_div() {
 99    let f1 = Fq::from_str(
100        "31892744363926593013886463524057935370302352424137349660481695792871889573091",
101    )
102    .unwrap();
103    let f2 = Fq::from_str(
104        "47695868328933459965610498875668250916462767196500056002116961816137113470902",
105    )
106    .unwrap();
107    let f3 = Fq::from_str(
108        "7301086967624450577859019086314322648061398679982346993011603220910508457334",
109    )
110    .unwrap();
111    assert!(!f1.is_zero());
112    assert!(!f2.is_zero());
113    assert!(!f3.is_zero());
114    assert_eq!(f1 / &f2, f3);
115}
116
117#[test]
118fn test_fq_sub() {
119    let f1 = Fq::from_str(
120        "18695869713129401390241150743745601908470616448391638969502807001833388904079",
121    )
122    .unwrap();
123    let f2 = Fq::from_str(
124        "10105476028534616828778879109836101003805485072436929139123765141153277007373",
125    )
126    .unwrap();
127    let f3 = Fq::from_str(
128        "8590393684594784561462271633909500904665131375954709830379041860680111896706",
129    )
130    .unwrap();
131    assert!(!f1.is_zero());
132    assert!(!f2.is_zero());
133    assert!(!f3.is_zero());
134    assert_eq!(f1 - &f2, f3);
135}
136
137#[test]
138fn test_fq_double_in_place_thrice() {
139    let mut f1 = Fq::from_str(
140        "32768907806651393940832831055386272949401004221411141755415956893066040832473",
141    )
142    .unwrap();
143    let f3 = Fq::from_str(
144        "21380590862979124081952185245260157621176025366712756262647409092194433207997",
145    )
146    .unwrap();
147    assert!(!f1.is_zero());
148    assert!(!f3.is_zero());
149    f1.double_in_place();
150    f1.double_in_place();
151    f1.double_in_place();
152    assert_eq!(f1, f3);
153}
154
155#[test]
156fn test_fq_generate_random_ed_on_bn254_point() {
157    let a = Fq::from_str("168700").unwrap();
158
159    let d = Fq::from_str("168696").unwrap();
160    let y = Fq::from_str(
161        "19987327827845206670850937090314462639017692512983955920885166014935289314257",
162    )
163    .unwrap();
164    let x2 = Fq::from_str(
165        "2144239075372598103060889495211040948751593385312551803225522963913923559328",
166    )
167    .unwrap();
168
169    let computed_y2 = y.square();
170    let y2 = Fq::from_str(
171        "11134206686211572308995578277928848431421308813024790181507137950838333998633",
172    )
173    .unwrap();
174    assert_eq!(y2, computed_y2);
175
176    let computed_dy2 = d * &computed_y2;
177    let dy2 =
178        Fq::from_str("345576003677591687256955722467813448317229128849323754147891993737799010947")
179            .unwrap();
180    assert_eq!(dy2, computed_dy2);
181
182    let computed_divisor = computed_dy2 - a;
183    let divisor =
184        Fq::from_str("345576003677591687256955722467813448317229128849323754147891993737798842247")
185            .unwrap();
186    assert_eq!(divisor, computed_divisor);
187
188    let computed_x2 = (computed_y2 - &Fq::one()) / &computed_divisor;
189    assert_eq!(x2, computed_x2);
190
191    let x = Fq::from_str(
192        "4801447892755635304907919953550459075619191823587157449340656925102682829025",
193    )
194    .unwrap();
195    let computed_x = computed_x2.sqrt().unwrap();
196    assert_eq!(computed_x.square(), x2);
197    assert_eq!(x, computed_x);
198
199    fn add<'a>(curr: (Fq, Fq), other: &'a (Fq, Fq)) -> (Fq, Fq) {
200        let y1y2 = curr.1 * &other.1;
201        let x1x2 = curr.0 * &other.0;
202        let a = Fq::from_str("168700").unwrap();
203        let d = Fq::from_str("168696").unwrap();
204        let dx1x2y1y2 = d * &y1y2 * &x1x2;
205
206        let d1 = Fq::one() + &dx1x2y1y2;
207        let d2 = Fq::one() - &dx1x2y1y2;
208
209        let x1y2 = curr.0 * &other.1;
210        let y1x2 = curr.1 * &other.0;
211
212        let x = (x1y2 + &y1x2) / &d1;
213        let y = (y1y2 - a * &x1x2) / &d2;
214
215        (x, y)
216    }
217
218    let result = add((x, y), &(x, y));
219    let result = add(result, &result);
220    let result = add(result, &result);
221
222    let point_x =
223        Fq::from_str("380676173762867192861894055350059333852732198308367125138259398265363727587")
224            .unwrap();
225    let point_y = Fq::from_str(
226        "8435074244857818446059206728316702149733931432112984450960434710303841866985",
227    )
228    .unwrap();
229    assert_eq!((point_x, point_y), result);
230}
231
232#[test]
233fn test_fq_square_in_place() {
234    let mut f1 = Fq::from_str(
235        "6060110850233386730847324622937480088943976359504617699731744947670229990461",
236    )
237    .unwrap();
238    let f3 = Fq::from_str(
239        "17018926051730832095053393285350575966874590491719897015583930476179087429684",
240    )
241    .unwrap();
242    assert!(!f1.is_zero());
243    assert!(!f3.is_zero());
244    f1.square_in_place();
245    assert_eq!(f1, f3);
246}
247
248#[test]
249fn test_fq_from_str() {
250    let f1_from_repr = Fq::from(BigInteger::new([
251        0xab8a2535947d1a77,
252        0x9ba74cbfda0bbcda,
253        0xe928b59724d60baf,
254        0x1cccaaeb9bb1680a,
255    ]));
256    let f1 = Fq::from_str(
257        "13026376210409056429264774981357153555336288129100724591327877625017068755575",
258    )
259    .unwrap();
260    let f2_from_repr = Fq::from(BigInteger::new([
261        0x97e9103775d2f35c,
262        0xbe6756b6c587544b,
263        0x6ee38c3afd88ef4b,
264        0x2bacd150f540c677,
265    ]));
266    let f2 = Fq::from_str(
267        "19754794831832707859764530223239420866832328728734160755396495950822165902172",
268    )
269    .unwrap();
270    assert_eq!(f1_from_repr, f1);
271    assert_eq!(f2_from_repr, f2);
272}
273
274#[test]
275fn test_fq_legendre() {
276    assert_eq!(QuadraticResidue, Fq::one().legendre());
277    assert_eq!(Zero, Fq::zero().legendre());
278
279    let e = BigInteger::new([
280        0x2e8de1a676c03be8,
281        0x73350d34fe25a560,
282        0x7ea085919029688e,
283        0x1d0868cb993cf28,
284    ]);
285    assert_eq!(QuadraticResidue, Fq::from(e).legendre());
286    let e = BigInteger::new([
287        0x891d8cc23c8d0706,
288        0xe91800e007db2698,
289        0xfff380321e9ac7a7,
290        0x2659e28bd17eab6,
291    ]);
292    assert_eq!(QuadraticNonResidue, Fq::from(e).legendre());
293}
294
295#[test]
296fn test_fr_add() {
297    let f1 = Fr::from(BigInteger::new([
298        0xccfc9a195e0f5c46,
299        0xaed4874d13fb1285,
300        0x27368f86ca2848eb,
301        0x4f8adcfeb44fccc,
302    ]));
303    let f2 = Fr::from(BigInteger::new([
304        0x661ff05bf8570851,
305        0x1b171f4c59be97ef,
306        0x5d2ce7f9b4d701f3,
307        0x1e0e794623e0f68,
308    ]));
309    let f3 = Fr::from(BigInteger::new([
310        0xcba9f2991d453da6,
311        0x1eacb8e13498bc6a,
312        0x4d596ec9aecf1fd3,
313        0xcd0b95f15cd82f,
314    ]));
315    assert_eq!(f1 + &f2, f3);
316}
317
318#[test]
319fn test_fr_mul() {
320    let f1 = Fr::from(BigInteger::new([
321        0xc2964d2dd5fb980f,
322        0xbab64d599c57e496,
323        0x39cae13e7d1d4f78,
324        0x1aa995aa4de205c,
325    ]));
326    let f2 = Fr::from(BigInteger::new([
327        0xc256e720cd43533b,
328        0x3bfbadf6247e13bb,
329        0x94c3d63a53714f63,
330        0x10f8a7bf74efd57,
331    ]));
332    let f3 = Fr::from(BigInteger::new([
333        0x5eac88be41e0e1fd,
334        0x57aab36675b11e24,
335        0x835582d896b4d13f,
336        0x4808736e213036e,
337    ]));
338    assert_eq!(f1 * &f2, f3);
339}
340
341#[test]
342fn test_fr_from_str() {
343    let f100_from_repr = Fr::from(BigInteger::new([0x64, 0, 0, 0]));
344    let f100 = Fr::from_str("100").unwrap();
345    assert_eq!(f100_from_repr, f100);
346}