ommx 2.6.1

Open Mathematical prograMming eXchange (OMMX)
Documentation 
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

use criterion::{
    criterion_group, criterion_main, AxisScale, BenchmarkId, Criterion, PlotConfiguration,
};

use num::Zero;
use ommx::{
    random::{random, random_deterministic, Rng},
    Linear, LinearParameters, Polynomial, PolynomialParameters, Quadratic, QuadraticParameters,
};

/// Benchmark for summation of many linear functions with three terms
fn sum_linear_small_many(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("sum-linear-small-many");
    group.plot_config(plot_config.clone());
    for num_functions in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let functions = (0..num_functions)
            .map(|_| -> Linear {
                random(
                    &mut rng,
                    LinearParameters::new(3, num_functions.into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        group.bench_with_input(
            BenchmarkId::new("sum-linear-small-many", num_functions.to_string()),
            &functions,
            |b, linears| {
                b.iter(|| {
                    linears
                        .iter()
                        .fold(Linear::zero(), |acc, lin| acc + lin.clone())
                })
            },
        );
    }
    group.finish();
}

fn sum_linear_large_little(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("sum-linear-large-little");
    group.plot_config(plot_config.clone());
    for num_terms in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let functions = (0..3)
            .map(|_| -> Linear {
                random(
                    &mut rng,
                    LinearParameters::new(num_terms, (3 * num_terms as u64).into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        group.bench_with_input(
            BenchmarkId::new("sum-linear-large-little", num_terms.to_string()),
            &functions,
            |b, linears| {
                b.iter(|| {
                    linears
                        .iter()
                        .fold(Linear::zero(), |acc, lin| acc + lin.clone())
                })
            },
        );
    }
    group.finish();
}

/// Benchmark for summation of many quadratic functions with three terms
fn sum_quadratic_small_many(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("sum-quadratic-small-many");
    group.plot_config(plot_config.clone());
    for num_functions in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let functions = (0..num_functions)
            .map(|_| -> Quadratic {
                random(
                    &mut rng,
                    QuadraticParameters::new(3, (num_functions as u64).into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        group.bench_with_input(
            BenchmarkId::new("sum-quadratic-small-many", num_functions.to_string()),
            &functions,
            |b, quads| {
                b.iter(|| {
                    quads
                        .iter()
                        .fold(Quadratic::zero(), |acc, q| acc + q.clone())
                })
            },
        );
    }
    group.finish();
}

/// Benchmark for summation of few quadratic functions with many terms
fn sum_quadratic_large_little(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("sum-quadratic-large-little");
    group.plot_config(plot_config.clone());
    for num_terms in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let functions = (0..3)
            .map(|_| -> Quadratic {
                random(
                    &mut rng,
                    QuadraticParameters::new(num_terms, ((3 * num_terms) as u64).into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        group.bench_with_input(
            BenchmarkId::new("sum-quadratic-large-little", num_terms.to_string()),
            &functions,
            |b, quads| {
                b.iter(|| {
                    quads
                        .iter()
                        .fold(Quadratic::zero(), |acc, q| acc + q.clone())
                })
            },
        );
    }
    group.finish();
}

/// Benchmark for summation of many polynomial functions with three terms
fn sum_polynomial_small_many(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("sum-polynomial-small-many");
    group.plot_config(plot_config.clone());
    for num_functions in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let functions = (0..num_functions)
            .map(|_| -> Polynomial {
                random(
                    &mut rng,
                    PolynomialParameters::new(3, 3.into(), (num_functions as u64).into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        group.bench_with_input(
            BenchmarkId::new("sum-polynomial-small-many", num_functions.to_string()),
            &functions,
            |b, polys| {
                b.iter(|| {
                    polys
                        .iter()
                        .fold(Polynomial::zero(), |acc, p| acc + p.clone())
                })
            },
        );
    }
    group.finish();
}

/// Benchmark for summation of few polynomial functions with many terms
fn sum_polynomial_large_little(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("sum-polynomial-large-little");
    group.plot_config(plot_config.clone());
    for num_terms in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let functions = (0..3)
            .map(|_| -> Polynomial {
                random(
                    &mut rng,
                    PolynomialParameters::new(num_terms, 3.into(), ((3 * num_terms) as u64).into())
                        .unwrap(),
                )
            })
            .collect::<Vec<_>>();
        group.bench_with_input(
            BenchmarkId::new("sum-polynomial-large-little", num_terms.to_string()),
            &functions,
            |b, polys| {
                b.iter(|| {
                    polys
                        .iter()
                        .fold(Polynomial::zero(), |acc, p| acc + p.clone())
                })
            },
        );
    }
    group.finish();
}

fn add_small_many_linear_to_quadratic(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("add-small-many-linear-to-quadratic");
    group.plot_config(plot_config.clone());
    for num_lin in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let lins = (0..num_lin)
            .map(|_| -> Linear {
                random(
                    &mut rng,
                    LinearParameters::new(3, (3 * num_lin as u64).into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        let quad: Quadratic = random_deterministic(
            QuadraticParameters::new(3, ((3 * num_lin) as u64).into()).unwrap(),
        );
        group.bench_with_input(
            BenchmarkId::new("add-small-many-linear-to-quadratic", num_lin.to_string()),
            &(lins, quad),
            |b, (lins, quad)| b.iter(|| lins.iter().fold(quad.clone(), |acc, lin| acc + lin)),
        );
    }
    group.finish();
}

fn add_small_many_linear_to_polynomial(c: &mut Criterion) {
    let plot_config = PlotConfiguration::default().summary_scale(AxisScale::Logarithmic);
    let mut group = c.benchmark_group("add-small-many-linear-to-polynomial");
    group.plot_config(plot_config.clone());
    for num_lin in [100, 1000, 10_000] {
        let mut rng = Rng::deterministic();
        let lins = (0..num_lin)
            .map(|_| -> Linear {
                random(
                    &mut rng,
                    LinearParameters::new(3, (3 * num_lin as u64).into()).unwrap(),
                )
            })
            .collect::<Vec<_>>();
        let poly: Polynomial = random_deterministic(
            PolynomialParameters::new(3, 3.into(), ((3 * num_lin) as u64).into()).unwrap(),
        );
        group.bench_with_input(
            BenchmarkId::new("add-small-many-linear-to-polynomial", num_lin.to_string()),
            &(lins, poly),
            |b, (lins, poly)| b.iter(|| lins.iter().fold(poly.clone(), |acc, lin| acc + lin)),
        );
    }
    group.finish();
}

criterion_group!(
    benches,
    sum_linear_small_many,
    sum_linear_large_little,
    sum_quadratic_small_many,
    sum_quadratic_large_little,
    sum_polynomial_small_many,
    sum_polynomial_large_little,
    add_small_many_linear_to_quadratic,
    add_small_many_linear_to_polynomial,
);
criterion_main!(benches);