1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
#[macro_export]
macro_rules! f_bench {
    // Use this for base fields
    (prime, $bench_group_name:expr, $F:ident) => {
        $crate::paste! {
            mod [<$F:lower>] {
                use super::*;
                use ark_ff::{Field, PrimeField, UniformRand};
                field_common!($bench_group_name, $F);
                sqrt!($bench_group_name, $F);
                prime_field!($bench_group_name, $F);
                $crate::criterion_group!(
                    benches,
                    // common stuff
                    arithmetic,
                    serialization,
                    // sqrt field stuff
                    sqrt,
                    // prime field stuff
                    bigint,
                );
            }
        }
    };
    // use this for intermediate fields
    (extension, $bench_group_name:expr, $F:ident) => {
        $crate::paste! {
            mod [<$F:lower>] {
                use super::*;
                use ark_ff::{Field, UniformRand};
                field_common!($bench_group_name, $F);
                sqrt!($bench_group_name, $F);
                $crate::criterion_group!(
                    benches,
                    // common stuff
                    arithmetic,
                    serialization,
                    // sqrt field stuff
                    sqrt,
                );
            }
        }
    };
    // Use this for the target field.
    (target, $bench_group_name:expr, $F:ident) => {
        $crate::paste! {
            mod [<$F:lower>] {
                use super::*;
                use ark_ff::{Field, UniformRand};
                field_common!($bench_group_name, $F);
                $crate::criterion_group!(
                    benches,
                    // common stuff
                    arithmetic,
                    serialization,
                );
            }
        }
    };
}

#[macro_export]
macro_rules! field_common {
    ($bench_group_name:expr, $F:ident) => {
        fn arithmetic(c: &mut $crate::criterion::Criterion) {
            let name = format!("{}::{}", $bench_group_name, stringify!($F));
            const SAMPLES: usize = 1000;
            let mut rng = ark_std::test_rng();
            let mut arithmetic = c.benchmark_group(format!("Arithmetic for {name}"));
            let field_elements_left = (0..SAMPLES)
                .map(|_| <$F>::rand(&mut rng))
                .collect::<Vec<_>>();
            let field_elements_right = (0..SAMPLES)
                .map(|_| <$F>::rand(&mut rng))
                .collect::<Vec<_>>();
            arithmetic.bench_function("Addition", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = field_elements_left[i];
                    tmp += field_elements_right[i];
                    tmp
                })
            });
            arithmetic.bench_function("Subtraction", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = field_elements_left[i];
                    tmp -= field_elements_right[i];
                    tmp
                })
            });
            arithmetic.bench_function("Negation", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    -field_elements_left[i]
                })
            });

            arithmetic.bench_function("Double", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    field_elements_left[i].double()
                })
            });

            arithmetic.bench_function("Multiplication", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = field_elements_left[i];
                    tmp *= field_elements_right[i];
                    tmp
                })
            });
            arithmetic.bench_function("Square", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    field_elements_left[i].square()
                })
            });
            arithmetic.bench_function("Inverse", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    field_elements_left[i].inverse().unwrap()
                })
            });
            arithmetic.bench_function("Sum of products of size 2", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let j = (i + 1) % SAMPLES;
                    <$F>::sum_of_products(
                        &[field_elements_left[i], field_elements_right[j]],
                        &[field_elements_left[j], field_elements_right[i]],
                    )
                })
            });
            arithmetic.bench_function("Naive sum of products of size 2", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let j = (i + 1) % SAMPLES;
                    field_elements_left[i] * field_elements_left[j]
                        + field_elements_right[j] * field_elements_right[i]
                })
            });
        }

        fn serialization(c: &mut $crate::criterion::Criterion) {
            use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
            let name = format!("{}::{}", $bench_group_name, stringify!($F));
            const SAMPLES: usize = 1000;

            let mut rng = ark_std::test_rng();

            let f = (0..SAMPLES)
                .map(|_| <$F>::rand(&mut rng))
                .collect::<Vec<_>>();
            let mut bytes = Vec::with_capacity(1000);

            let f_compressed = f
                .iter()
                .map(|a| {
                    let mut bytes = Vec::with_capacity(1000);
                    a.serialize_compressed(&mut bytes).unwrap();
                    bytes
                })
                .collect::<Vec<_>>();

            let f_uncompressed = f
                .iter()
                .map(|a| {
                    let mut bytes = Vec::with_capacity(1000);
                    a.serialize_uncompressed(&mut bytes).unwrap();
                    bytes
                })
                .collect::<Vec<_>>();

            let mut serialization = c.benchmark_group(format!("Serialization for {name}"));

            serialization.bench_function("Serialize Compressed", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    bytes.clear();
                    f[i].serialize_compressed(&mut bytes).unwrap()
                })
            });
            serialization.bench_function("Serialize Uncompressed", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    bytes.clear();
                    f[i].serialize_uncompressed(&mut bytes).unwrap()
                })
            });
            serialization.bench_function("Deserialize Compressed", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    bytes.clear();
                    <$F>::deserialize_compressed(f_compressed[i].as_slice()).unwrap()
                })
            });
            serialization.bench_function("Deserialize Compressed Unchecked", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    bytes.clear();
                    <$F>::deserialize_compressed_unchecked(f_compressed[i].as_slice()).unwrap()
                })
            });
            serialization.bench_function("Deserialize Uncompressed", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    bytes.clear();
                    <$F>::deserialize_uncompressed(f_uncompressed[i].as_slice()).unwrap()
                })
            });
            serialization.bench_function("Deserialize Uncompressed Unchecked", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    bytes.clear();
                    <$F>::deserialize_uncompressed_unchecked(f_uncompressed[i].as_slice()).unwrap()
                })
            });
            serialization.finish()
        }
    };
}

#[macro_export]
macro_rules! sqrt {
    ($bench_group_name:expr, $F:ident) => {
        fn sqrt(c: &mut $crate::criterion::Criterion) {
            use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
            const SAMPLES: usize = 1000;
            let name = format!("{}::{}", $bench_group_name, stringify!($F));

            let mut rng = ark_std::test_rng();

            let f = (0..SAMPLES)
                .map(|_| <$F>::rand(&mut rng))
                .collect::<Vec<_>>();
            let qrs = f.iter().map(|s| s.square()).collect::<Vec<_>>();
            let mut sqrt = c.benchmark_group(format!("SquareRoot for {name}"));

            sqrt.bench_function("Square Root for QR", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    qrs[i].sqrt().unwrap()
                })
            });
            sqrt.bench_function("Legendre for QR", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    qrs[i].legendre()
                })
            });
            sqrt.finish();
        }
    };
}

#[macro_export]
macro_rules! prime_field {
    ($bench_group_name:expr, $F:ident) => {
        fn bigint(c: &mut $crate::criterion::Criterion) {
            use ark_ff::{BigInteger, PrimeField};
            type BigInt = <$F as PrimeField>::BigInt;
            const SAMPLES: usize = 1000;

            let name = format!("{}::{}", $bench_group_name, stringify!($F));
            let mut rng = ark_std::test_rng();

            let (v1, v2): (Vec<_>, Vec<_>) = (0..SAMPLES)
                .map(|_| {
                    let mut tmp1 = BigInt::rand(&mut rng);
                    let mut tmp2 = BigInt::rand(&mut rng);
                    // Shave a few bits off to avoid overflow.
                    for _ in 0..3 {
                        tmp1.div2();
                        tmp2.div2();
                    }
                    tmp2.div2();
                    (tmp1, tmp2)
                })
                .unzip();
            let mut arithmetic = c.benchmark_group(format!("Arithmetic for {name}::BigInt"));
            arithmetic.bench_function("Addition with carry", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = v1[i];
                    (tmp, tmp.add_with_carry(&v2[i]))
                })
            });
            arithmetic.bench_function("Subtraction with borrow", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = v1[i];
                    (tmp, tmp.sub_with_borrow(&v2[i]))
                })
            });
            arithmetic.bench_function("Multiplication by 2", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = v1[i];
                    tmp.mul2()
                })
            });
            arithmetic.bench_function("Division by 2", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    let mut tmp = v1[i];
                    tmp.div2()
                })
            });
            arithmetic.finish();
            let mut bits = c.benchmark_group(format!("Bitwise operations for {name}::BigInt"));
            bits.bench_function("Number of bits", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    v2[i].num_bits()
                })
            });
            let v_bits_le = v2
                .iter()
                .map(|s| ark_ff::BitIteratorLE::new(s).collect::<Vec<_>>())
                .collect::<Vec<_>>();
            bits.bench_function("From Little-Endian bits", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    BigInt::from_bits_be(&v_bits_le[i]);
                })
            });
            let v_bits_be = v1
                .iter()
                .map(|s| ark_ff::BitIteratorBE::new(s).collect::<Vec<_>>())
                .collect::<Vec<_>>();
            bits.bench_function("From Big-Endian bits", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    BigInt::from_bits_be(&v_bits_be[i]);
                })
            });
            bits.bench_function("Comparison", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    v1[i] > v2[i]
                })
            });
            bits.bench_function("Equality", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    v1[i] == v2[i]
                })
            });
            bits.bench_function("Is Zero", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    v1[i].is_zero()
                })
            });
            bits.finish();

            let f = (0..SAMPLES)
                .map(|_| <$F>::rand(&mut rng))
                .collect::<Vec<_>>();
            let bigints = f.iter().map(|f| f.into_bigint()).collect::<Vec<_>>();
            let mut conversions = c.benchmark_group(format!("Conversions for {name}"));
            conversions.bench_function("From BigInt", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    <$F>::from_bigint(bigints[i])
                })
            });
            conversions.bench_function("Into BigInt", |b| {
                let mut i = 0;
                b.iter(|| {
                    i = (i + 1) % SAMPLES;
                    f[i].into_bigint()
                })
            });
            conversions.finish()
        }
    };
}