argmin-math 0.5.1

argmin math abstractions
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

// Copyright 2018-2024 argmin developers
//
// Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
// http://apache.org/licenses/LICENSE-2.0> or the MIT license <LICENSE-MIT or
// http://opensource.org/licenses/MIT>, at your option. This file may not be
// copied, modified, or distributed except according to those terms.

use crate::ArgminL1Norm;
use num_complex::Complex;

macro_rules! make_l1norm_unsigned {
    ($t:ty) => {
        impl ArgminL1Norm<$t> for $t {
            #[inline]
            fn l1_norm(&self) -> $t {
                *self
            }
        }
    };
}

macro_rules! make_l1norm {
    ($t:ty) => {
        impl ArgminL1Norm<$t> for $t {
            #[inline]
            fn l1_norm(&self) -> $t {
                self.abs()
            }
        }
    };
}

macro_rules! make_l1norm_complex {
    ($t:ty) => {
        impl ArgminL1Norm<$t> for Complex<$t> {
            #[inline]
            fn l1_norm(&self) -> $t {
                self.l1_norm()
            }
        }
    };
}

macro_rules! make_l1norm_complex_unsigned {
    ($t:ty) => {
        impl ArgminL1Norm<$t> for Complex<$t> {
            #[inline]
            fn l1_norm(&self) -> $t {
                self.re + self.im
            }
        }
    };
}

make_l1norm!(i8);
make_l1norm!(i16);
make_l1norm!(i32);
make_l1norm!(i64);
make_l1norm_unsigned!(u8);
make_l1norm_unsigned!(u16);
make_l1norm_unsigned!(u32);
make_l1norm_unsigned!(u64);
make_l1norm!(f32);
make_l1norm!(f64);
make_l1norm_complex!(i8);
make_l1norm_complex!(i16);
make_l1norm_complex!(i32);
make_l1norm_complex!(i64);
make_l1norm_complex!(f32);
make_l1norm_complex!(f64);
make_l1norm_complex_unsigned!(u8);
make_l1norm_complex_unsigned!(u16);
make_l1norm_complex_unsigned!(u32);
make_l1norm_complex_unsigned!(u64);

#[cfg(test)]
mod tests {
    use super::*;
    use approx::assert_relative_eq;
    use paste::item;

    macro_rules! make_test {
        ($t:ty) => {
            item! {
                #[test]
                fn [<test_norm_ $t>]() {
                    let a = 8 as $t;
                    let res = <$t as ArgminL1Norm<$t>>::l1_norm(&a);
                    assert_relative_eq!(a as f64, res as f64, epsilon = f64::EPSILON);
                }
            }
        };
    }

    macro_rules! make_test_signed {
        ($t:ty) => {
            item! {
                #[test]
                fn [<test_norm_signed_ $t>]() {
                    let a = -8 as $t;
                    let res = <$t as ArgminL1Norm<$t>>::l1_norm(&a);
                    assert_relative_eq!(8 as f64, res as f64, epsilon = f64::EPSILON);
                }
            }
        };
    }

    macro_rules! make_test_complex_signed {
        ($t:ty) => {
            item! {
                #[test]
                fn [<test_norm_complex_signed_ $t>]() {
                    let a = Complex::new(-8 as $t, -4 as $t);
                    let res = <Complex<$t> as ArgminL1Norm<$t>>::l1_norm(&a);
                    assert_relative_eq!((8 as $t + 4 as $t) as f64, res as f64, epsilon = f64::EPSILON);
                }
            }
        };
    }

    macro_rules! make_test_complex {
        ($t:ty) => {
            item! {
                #[test]
                fn [<test_norm_complex_ $t>]() {
                    let a = Complex::new(8 as $t, 4 as $t);
                    let res = <Complex<$t> as ArgminL1Norm<$t>>::l1_norm(&a);
                    assert_relative_eq!((8 as $t + 4 as $t) as f64, res as f64, epsilon = f64::EPSILON);
                }
            }
        };
    }

    make_test!(i8);
    make_test!(u8);
    make_test!(i16);
    make_test!(u16);
    make_test!(i32);
    make_test!(u32);
    make_test!(i64);
    make_test!(u64);
    make_test!(f32);
    make_test!(f64);

    make_test_signed!(i8);
    make_test_signed!(i16);
    make_test_signed!(i32);
    make_test_signed!(i64);
    make_test_signed!(f32);
    make_test_signed!(f64);

    make_test_complex_signed!(i8);
    make_test_complex_signed!(i16);
    make_test_complex_signed!(i32);
    make_test_complex_signed!(i64);
    make_test_complex_signed!(f32);
    make_test_complex_signed!(f64);
    make_test_complex!(u8);
    make_test_complex!(u16);
    make_test_complex!(u32);
    make_test_complex!(u64);
    make_test_complex!(i8);
    make_test_complex!(i16);
    make_test_complex!(i32);
    make_test_complex!(i64);
    make_test_complex!(f32);
    make_test_complex!(f64);
}