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_bls12_381; mont(4, 4); );
 16generate_field_serialization_test!(ed_on_bls12_381;);
 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        "5737174750126493097140088368381404874517028777389495743035013590241325924603",
 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        "38057113854472161555556064369220825628027487067886761874351491955834635348140",
 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        "18897508522635316277030308074760673440128491438505204942623624791502972539393",
 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        "29049672724678710659792141917402891276693777283079976086581207190825261000580",
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        "52407761752706389608871686410346320244445823769178582752913020344774001921732",
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_bls12_381_point() {
157    let d = Fq::from_str(
158        "19257038036680949359750312669786877991949435402254120286184196891950884077233",
159    )
160    .unwrap();
161    let y = Fq::from_str(
162        "20269054604167148422407276086932743904275456233139568486008667107872965128512",
163    )
164    .unwrap();
165    let x2 = Fq::from_str(
166        "35041048504708632193693740149219726446678304552734087046982753200179718192840",
167    )
168    .unwrap();
169
170    let computed_y2 = y.square();
171    let y2 = Fq::from_str(
172        "22730681238307918419349440108285755984465605552827817317611903495170775437833",
173    )
174    .unwrap();
175    assert_eq!(y2, computed_y2);
176
177    let computed_dy2 = d * &computed_y2;
178    let dy2 = Fq::from_str(
179        "24720347560552809545835752815204882739669031262711919770503096707526812943411",
180    )
181    .unwrap();
182    assert_eq!(dy2, computed_dy2);
183
184    let computed_divisor = computed_dy2 + &Fq::one();
185    let divisor = Fq::from_str(
186        "24720347560552809545835752815204882739669031262711919770503096707526812943412",
187    )
188    .unwrap();
189    assert_eq!(divisor, computed_divisor);
190
191    let computed_x2 = (computed_y2 - &Fq::one()) / &computed_divisor;
192    assert_eq!(x2, computed_x2);
193
194    let x = Fq::from_str(
195        "15337652609730546173818014678723269532482775720866471265774032070871608223361",
196    )
197    .unwrap();
198    let computed_x = computed_x2.sqrt().unwrap();
199    assert_eq!(computed_x.square(), x2);
200    assert_eq!(x, computed_x);
201
202    fn add<'a>(curr: (Fq, Fq), other: &'a (Fq, Fq)) -> (Fq, Fq) {
203        let y1y2 = curr.1 * &other.1;
204        let x1x2 = curr.0 * &other.0;
205        let d = Fq::from_str(
206            "19257038036680949359750312669786877991949435402254120286184196891950884077233",
207        )
208        .unwrap();
209        let dx1x2y1y2 = d * &y1y2 * &x1x2;
210
211        let d1 = Fq::one() + &dx1x2y1y2;
212        let d2 = Fq::one() - &dx1x2y1y2;
213
214        let x1y2 = curr.0 * &other.1;
215        let y1x2 = curr.1 * &other.0;
216
217        let x = (x1y2 + &y1x2) / &d1;
218        let y = (y1y2 + &x1x2) / &d2;
219
220        (x, y)
221    }
222
223    let result = add((x, y), &(x, y));
224    let result = add(result, &result);
225    let result = add(result, &result);
226
227    let point_x = Fq::from_str(
228        "47259664076168047050113154262636619161204477920503059672059915868534495873964",
229    )
230    .unwrap();
231    let point_y = Fq::from_str(
232        "19016409245280491801573912449420132838852726543024859389273314249842195919690",
233    )
234    .unwrap();
235    assert_eq!((point_x, point_y), result);
236}
237
238#[test]
239fn test_fq_square_in_place() {
240    let mut f1 = Fq::from_str(
241        "34864651240005695523200639428464570946052769938774601449735727714436878540682",
242    )
243    .unwrap();
244    let f3 =
245        Fq::from_str("213133100629336594719108316042277780359104840987226496279264105585804377948")
246            .unwrap();
247    assert!(!f1.is_zero());
248    assert!(!f3.is_zero());
249    f1.square_in_place();
250    assert_eq!(f1, f3);
251}
252
253#[test]
254fn test_fq_from_str() {
255    let f1_from_repr = Fq::from(BigInteger::new([
256        0xab8a2535947d1a77,
257        0x9ba74cbfda0bbcda,
258        0xe928b59724d60baf,
259        0x1cccaaeb9bb1680a,
260    ]));
261    let f1 = Fq::from_str(
262        "13026376210409056429264774981357153555336288129100724591327877625017068755575",
263    )
264    .unwrap();
265    let f2_from_repr = Fq::from(BigInteger::new([
266        0x97e9103775d2f35c,
267        0xbe6756b6c587544b,
268        0x6ee38c3afd88ef4b,
269        0x2bacd150f540c677,
270    ]));
271    let f2 = Fq::from_str(
272        "19754794831832707859764530223239420866832328728734160755396495950822165902172",
273    )
274    .unwrap();
275    assert_eq!(f1_from_repr, f1);
276    assert_eq!(f2_from_repr, f2);
277}
278
279#[test]
280fn test_fq_legendre() {
281    assert_eq!(QuadraticResidue, Fq::one().legendre());
282    assert_eq!(Zero, Fq::zero().legendre());
283
284    let e = BigInteger::new([
285        0x0dbc5349cd5664da,
286        0x8ac5b6296e3ae29d,
287        0x127cb819feceaa3b,
288        0x3a6b21fb03867191,
289    ]);
290    assert_eq!(QuadraticResidue, Fq::from(e).legendre());
291    let e = BigInteger::new([
292        0x96341aefd047c045,
293        0x9b5f4254500a4d65,
294        0x1ee08223b68ac240,
295        0x31d9cd545c0ec7c6,
296    ]);
297    assert_eq!(QuadraticNonResidue, Fq::from(e).legendre());
298}
299
300#[test]
301fn test_fr_add() {
302    let f1 = Fr::from(BigInteger::new([
303        0xc81265fb4130fe0c,
304        0xb308836c14e22279,
305        0x699e887f96bff372,
306        0x84ecc7e76c11ad,
307    ]));
308    let f2 = Fr::from(BigInteger::new([
309        0x71875719b422efb8,
310        0x43658e68a93612,
311        0x9fa756be2011e833,
312        0xaa2b2cb08dac497,
313    ]));
314    let f3 = Fr::from(BigInteger::new([
315        0x3999bd14f553edc4,
316        0xb34be8fa7d8b588c,
317        0x945df3db6d1dba5,
318        0xb279f92f046d645,
319    ]));
320    assert_eq!(f1 + &f2, f3);
321}
322
323#[test]
324fn test_fr_mul() {
325    let f1 = Fr::from(BigInteger::new([
326        0xc81265fb4130fe0c,
327        0xb308836c14e22279,
328        0x699e887f96bff372,
329        0x84ecc7e76c11ad,
330    ]));
331    let f2 = Fr::from(BigInteger::new([
332        0x71875719b422efb8,
333        0x43658e68a93612,
334        0x9fa756be2011e833,
335        0xaa2b2cb08dac497,
336    ]));
337    let f3 = Fr::from(BigInteger::new([
338        0x6d6618ac6b4a8381,
339        0x5b9eb35d711ee1da,
340        0xce83310e6ac4105d,
341        0x98032e0f206320a,
342    ]));
343    assert_eq!(f1 * &f2, f3);
344}
345
346#[test]
347fn test_fr_from_str() {
348    let f100_from_repr = Fr::from(BigInteger::new([0x64, 0, 0, 0]));
349    let f100 = Fr::from_str("100").unwrap();
350    assert_eq!(f100_from_repr, f100);
351}