russell_lab 1.11.0

Scientific laboratory for linear algebra and numerical mathematics
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

use super::ComplexMatrix;
use crate::{array_minus_op_complex, StrError};

/// Performs the subtraction of two matrices
///
/// ```text
/// c := a - b
/// ```
///
/// # Examples
///
/// ```
/// use russell_lab::*;
///
/// fn main() -> Result<(), StrError> {
///     let a = ComplexMatrix::from(&[
///         [ 10.0,  20.0,  30.0,  40.0],
///         [-10.0, -20.0, -30.0, -40.0],
///     ]);
///     let b = ComplexMatrix::from(&[
///         [ 2.0,  1.5,  1.0,  0.5],
///         [-2.0, -1.5, -1.0, -0.5],
///     ]);
///     let mut c = ComplexMatrix::new(2, 4);
///     complex_mat_minus(&mut c, &a, &b)?;
///     let correct = "┌                                     ┐\n\
///                    │     8+0i  18.5+0i    29+0i  39.5+0i │\n\
///                    │    -8+0i -18.5+0i   -29+0i -39.5+0i │\n\
///                    └                                     ┘";
///     assert_eq!(format!("{}", c), correct);
///     Ok(())
/// }
/// ```
pub fn complex_mat_minus(c: &mut ComplexMatrix, a: &ComplexMatrix, b: &ComplexMatrix) -> Result<(), StrError> {
    let (m, n) = c.dims();
    if a.nrow() != m || a.ncol() != n || b.nrow() != m || b.ncol() != n {
        return Err("matrices are incompatible");
    }
    array_minus_op_complex(c.as_mut_data(), a.as_data(), b.as_data())
}

////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////

#[cfg(test)]
mod tests {
    use super::{complex_mat_minus, ComplexMatrix};
    use crate::{complex_mat_approx_eq, cpx, Complex64};

    #[test]
    fn complex_mat_minus_fails_on_wrong_dims() {
        let a_2x2 = ComplexMatrix::new(2, 2);
        let a_2x3 = ComplexMatrix::new(2, 3);
        let a_3x2 = ComplexMatrix::new(3, 2);
        let b_2x2 = ComplexMatrix::new(2, 2);
        let b_2x3 = ComplexMatrix::new(2, 3);
        let b_3x2 = ComplexMatrix::new(3, 2);
        let mut c_2x2 = ComplexMatrix::new(2, 2);
        assert_eq!(
            complex_mat_minus(&mut c_2x2, &a_2x3, &b_2x2),
            Err("matrices are incompatible")
        );
        assert_eq!(
            complex_mat_minus(&mut c_2x2, &a_3x2, &b_2x2),
            Err("matrices are incompatible")
        );
        assert_eq!(
            complex_mat_minus(&mut c_2x2, &a_2x2, &b_2x3),
            Err("matrices are incompatible")
        );
        assert_eq!(
            complex_mat_minus(&mut c_2x2, &a_2x2, &b_3x2),
            Err("matrices are incompatible")
        );
    }

    #[test]
    fn complex_mat_minus_works() {
        const NOISE: Complex64 = cpx!(1234.567, 3456.789);
        #[rustfmt::skip]
        let a = ComplexMatrix::from(&[
            [1.0, 2.0, 3.0, 4.0],
            [1.0, 2.0, 3.0, 4.0],
            [1.0, 2.0, 3.0, 4.0],
        ]);
        #[rustfmt::skip]
        let b = ComplexMatrix::from(&[
            [0.5, 1.0, 1.5, 2.0],
            [0.5, 1.0, 1.5, 2.0],
            [0.5, 1.0, 1.5, 2.0],
        ]);
        let mut c = ComplexMatrix::from(&[
            [NOISE, NOISE, NOISE, NOISE],
            [NOISE, NOISE, NOISE, NOISE],
            [NOISE, NOISE, NOISE, NOISE],
        ]);
        complex_mat_minus(&mut c, &a, &b).unwrap();
        #[rustfmt::skip]
        let correct = &[
            [cpx!(0.5, 0.0), cpx!(1.0, 0.0), cpx!(1.5, 0.0), cpx!(2.0, 0.0)],
            [cpx!(0.5, 0.0), cpx!(1.0, 0.0), cpx!(1.5, 0.0), cpx!(2.0, 0.0)],
            [cpx!(0.5, 0.0), cpx!(1.0, 0.0), cpx!(1.5, 0.0), cpx!(2.0, 0.0)],
        ];
        complex_mat_approx_eq(&c, correct, 1e-15);
    }

    #[test]
    fn complex_add_matrix_5x5_works() {
        const NOISE: Complex64 = cpx!(1234.567, 3456.789);
        let a = ComplexMatrix::from(&[
            [1.0, 2.0, 3.0, 4.0, 5.0],
            [1.0, 2.0, 3.0, 4.0, 5.0],
            [1.0, 2.0, 3.0, 4.0, 5.0],
            [1.0, 2.0, 3.0, 4.0, 5.0],
            [1.0, 2.0, 3.0, 4.0, 5.0],
        ]);
        let b = ComplexMatrix::from(&[
            [0.5, 1.0, 1.5, 2.0, 2.5],
            [0.5, 1.0, 1.5, 2.0, 2.5],
            [0.5, 1.0, 1.5, 2.0, 2.5],
            [0.5, 1.0, 1.5, 2.0, 2.5],
            [0.5, 1.0, 1.5, 2.0, 2.5],
        ]);
        let mut c = ComplexMatrix::from(&[
            [NOISE, NOISE, NOISE, NOISE, NOISE],
            [NOISE, NOISE, NOISE, NOISE, NOISE],
            [NOISE, NOISE, NOISE, NOISE, NOISE],
            [NOISE, NOISE, NOISE, NOISE, NOISE],
            [NOISE, NOISE, NOISE, NOISE, NOISE],
        ]);
        complex_mat_minus(&mut c, &a, &b).unwrap();
        #[rustfmt::skip]
        let correct = &[
            [cpx!(0.5,0.0), cpx!(1.0,0.0), cpx!(1.5,0.0), cpx!(2.0,0.0), cpx!(2.5,0.0)],
            [cpx!(0.5,0.0), cpx!(1.0,0.0), cpx!(1.5,0.0), cpx!(2.0,0.0), cpx!(2.5,0.0)],
            [cpx!(0.5,0.0), cpx!(1.0,0.0), cpx!(1.5,0.0), cpx!(2.0,0.0), cpx!(2.5,0.0)],
            [cpx!(0.5,0.0), cpx!(1.0,0.0), cpx!(1.5,0.0), cpx!(2.0,0.0), cpx!(2.5,0.0)],
            [cpx!(0.5,0.0), cpx!(1.0,0.0), cpx!(1.5,0.0), cpx!(2.0,0.0), cpx!(2.5,0.0)],
        ];
        complex_mat_approx_eq(&c, correct, 1e-15);
    }

    #[test]
    fn complex_mat_minus_skip() {
        let a = ComplexMatrix::new(0, 0);
        let b = ComplexMatrix::new(0, 0);
        let mut c = ComplexMatrix::new(0, 0);
        complex_mat_minus(&mut c, &a, &b).unwrap();
        assert_eq!(c.as_data().len(), 0);
    }
}