1use crate::{Fq, Fr};
  2use ark_algebra_test_templates::*;
  3use ark_ff::{
  4    biginteger::BigInteger256 as BigInteger,
  5    fields::{Field, LegendreSymbol::*},
  6    One, Zero,
  7};
  8use ark_std::str::FromStr;
  9
 10test_field!(fr; Fr; mont_prime_field);
 11test_field!(fq; Fq; mont_prime_field);
 12
 13#[test]
 14fn test_fq_add() {
 15    let f1 = Fq::from_str(
 16        "18386742314266644595564329008376577163854043021652781768352795308532764650733",
 17    )
 18    .unwrap();
 19    let f2 = Fq::from_str(
 20        "39786307610986038981023499868190793548353538256264351797285876981647142458383",
 21    )
 22    .unwrap();
 23    let f3 = Fq::from_str(
 24        "5737174750126493097140088368381404874517028777389495743035013590241325924603",
 25    )
 26    .unwrap();
 27    assert!(!f1.is_zero());
 28    assert!(!f2.is_zero());
 29    assert!(!f3.is_zero());
 30    assert_eq!(f1 + &f2, f3);
 31}
 32
 33#[test]
 34fn test_fq_add_one() {
 35    let f1 = Fq::from_str(
 36        "4946875394261337176810256604189376311946643975348516311606738923340201185904",
 37    )
 38    .unwrap();
 39    let f2 = Fq::from_str(
 40        "4946875394261337176810256604189376311946643975348516311606738923340201185905",
 41    )
 42    .unwrap();
 43    assert!(!f1.is_zero());
 44    assert!(!f2.is_zero());
 45    assert_eq!(f1 + &Fq::one(), f2);
 46}
 47
 48#[test]
 49fn test_fq_mul() {
 50    let f1 = Fq::from_str(
 51        "24703123148064348394273033316595937198355721297494556079070134653139656190956",
 52    )
 53    .unwrap();
 54    let f2 = Fq::from_str(
 55        "38196797080882758914424853878212529985425118523754343117256179679117054302131",
 56    )
 57    .unwrap();
 58    let f3 = Fq::from_str(
 59        "38057113854472161555556064369220825628027487067886761874351491955834635348140",
 60    )
 61    .unwrap();
 62    assert!(!f1.is_zero());
 63    assert!(!f2.is_zero());
 64    assert!(!f3.is_zero());
 65    assert_eq!(f1 * &f2, f3);
 66}
 67
 68#[test]
 69fn test_fq_triple_mul() {
 70    let f1 = Fq::from_str(
 71        "23834398828139479510988224171342199299644042568628082836691700490363123893905",
 72    )
 73    .unwrap();
 74    let f2 = Fq::from_str(
 75        "48343809612844640454129919255697536258606705076971130519928764925719046689317",
 76    )
 77    .unwrap();
 78    let f3 = Fq::from_str(
 79        "22704845471524346880579660022678666462201713488283356385810726260959369106033",
 80    )
 81    .unwrap();
 82    let f4 = Fq::from_str(
 83        "18897508522635316277030308074760673440128491438505204942623624791502972539393",
 84    )
 85    .unwrap();
 86    assert!(!f1.is_zero());
 87    assert!(!f2.is_zero());
 88    assert!(!f3.is_zero());
 89    assert_eq!(f1 * &f2 * &f3, f4);
 90}
 91
 92#[test]
 93fn test_fq_div() {
 94    let f1 = Fq::from_str(
 95        "31892744363926593013886463524057935370302352424137349660481695792871889573091",
 96    )
 97    .unwrap();
 98    let f2 = Fq::from_str(
 99        "47695868328933459965610498875668250916462767196500056002116961816137113470902",
100    )
101    .unwrap();
102    let f3 = Fq::from_str(
103        "29049672724678710659792141917402891276693777283079976086581207190825261000580",
104    )
105    .unwrap();
106    assert!(!f1.is_zero());
107    assert!(!f2.is_zero());
108    assert!(!f3.is_zero());
109    assert_eq!(f1 / &f2, f3);
110}
111
112#[test]
113fn test_fq_sub() {
114    let f1 = Fq::from_str(
115        "18695869713129401390241150743745601908470616448391638969502807001833388904079",
116    )
117    .unwrap();
118    let f2 = Fq::from_str(
119        "10105476028534616828778879109836101003805485072436929139123765141153277007373",
120    )
121    .unwrap();
122    let f3 = Fq::from_str(
123        "8590393684594784561462271633909500904665131375954709830379041860680111896706",
124    )
125    .unwrap();
126    assert!(!f1.is_zero());
127    assert!(!f2.is_zero());
128    assert!(!f3.is_zero());
129    assert_eq!(f1 - &f2, f3);
130}
131
132#[test]
133fn test_fq_double_in_place_thrice() {
134    let mut f1 = Fq::from_str(
135        "32768907806651393940832831055386272949401004221411141755415956893066040832473",
136    )
137    .unwrap();
138    let f3 = Fq::from_str(
139        "52407761752706389608871686410346320244445823769178582752913020344774001921732",
140    )
141    .unwrap();
142    assert!(!f1.is_zero());
143    assert!(!f3.is_zero());
144    f1.double_in_place();
145    f1.double_in_place();
146    f1.double_in_place();
147    assert_eq!(f1, f3);
148}
149
150#[test]
151fn test_fq_generate_random_ed_on_bls12_381_point() {
152    let d = Fq::from_str(
153        "19257038036680949359750312669786877991949435402254120286184196891950884077233",
154    )
155    .unwrap();
156    let y = Fq::from_str(
157        "20269054604167148422407276086932743904275456233139568486008667107872965128512",
158    )
159    .unwrap();
160    let x2 = Fq::from_str(
161        "35041048504708632193693740149219726446678304552734087046982753200179718192840",
162    )
163    .unwrap();
164
165    let computed_y2 = y.square();
166    let y2 = Fq::from_str(
167        "22730681238307918419349440108285755984465605552827817317611903495170775437833",
168    )
169    .unwrap();
170    assert_eq!(y2, computed_y2);
171
172    let computed_dy2 = d * &computed_y2;
173    let dy2 = Fq::from_str(
174        "24720347560552809545835752815204882739669031262711919770503096707526812943411",
175    )
176    .unwrap();
177    assert_eq!(dy2, computed_dy2);
178
179    let computed_divisor = computed_dy2 + &Fq::one();
180    let divisor = Fq::from_str(
181        "24720347560552809545835752815204882739669031262711919770503096707526812943412",
182    )
183    .unwrap();
184    assert_eq!(divisor, computed_divisor);
185
186    let computed_x2 = (computed_y2 - &Fq::one()) / &computed_divisor;
187    assert_eq!(x2, computed_x2);
188
189    let x = Fq::from_str(
190        "15337652609730546173818014678723269532482775720866471265774032070871608223361",
191    )
192    .unwrap();
193    let computed_x = computed_x2.sqrt().unwrap();
194    assert_eq!(computed_x.square(), x2);
195    assert_eq!(x, computed_x);
196
197    fn add<'a>(curr: (Fq, Fq), other: &'a (Fq, Fq)) -> (Fq, Fq) {
198        let y1y2 = curr.1 * &other.1;
199        let x1x2 = curr.0 * &other.0;
200        let d = Fq::from_str(
201            "19257038036680949359750312669786877991949435402254120286184196891950884077233",
202        )
203        .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 + &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 = Fq::from_str(
223        "47259664076168047050113154262636619161204477920503059672059915868534495873964",
224    )
225    .unwrap();
226    let point_y = Fq::from_str(
227        "19016409245280491801573912449420132838852726543024859389273314249842195919690",
228    )
229    .unwrap();
230    assert_eq!((point_x, point_y), result);
231}
232
233#[test]
234fn test_fq_square_in_place() {
235    let mut f1 = Fq::from_str(
236        "34864651240005695523200639428464570946052769938774601449735727714436878540682",
237    )
238    .unwrap();
239    let f3 =
240        Fq::from_str("213133100629336594719108316042277780359104840987226496279264105585804377948")
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        0x0dbc5349cd5664da,
281        0x8ac5b6296e3ae29d,
282        0x127cb819feceaa3b,
283        0x3a6b21fb03867191,
284    ]);
285    assert_eq!(QuadraticResidue, Fq::from(e).legendre());
286    let e = BigInteger::new([
287        0x96341aefd047c045,
288        0x9b5f4254500a4d65,
289        0x1ee08223b68ac240,
290        0x31d9cd545c0ec7c6,
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        0xc81265fb4130fe0c,
299        0xb308836c14e22279,
300        0x699e887f96bff372,
301        0x84ecc7e76c11ad,
302    ]));
303    let f2 = Fr::from(BigInteger::new([
304        0x71875719b422efb8,
305        0x43658e68a93612,
306        0x9fa756be2011e833,
307        0xaa2b2cb08dac497,
308    ]));
309    let f3 = Fr::from(BigInteger::new([
310        0x3999bd14f553edc4,
311        0xb34be8fa7d8b588c,
312        0x945df3db6d1dba5,
313        0xb279f92f046d645,
314    ]));
315    assert_eq!(f1 + &f2, f3);
316}
317
318#[test]
319fn test_fr_mul() {
320    let f1 = Fr::from(BigInteger::new([
321        0xc81265fb4130fe0c,
322        0xb308836c14e22279,
323        0x699e887f96bff372,
324        0x84ecc7e76c11ad,
325    ]));
326    let f2 = Fr::from(BigInteger::new([
327        0x71875719b422efb8,
328        0x43658e68a93612,
329        0x9fa756be2011e833,
330        0xaa2b2cb08dac497,
331    ]));
332    let f3 = Fr::from(BigInteger::new([
333        0x6d6618ac6b4a8381,
334        0x5b9eb35d711ee1da,
335        0xce83310e6ac4105d,
336        0x98032e0f206320a,
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}