mathru 0.16.2

Fundamental algorithms for scientific computing in Rust
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

use crate::algebra::{
    abstr::{Field, Scalar},
    linear::vector::Vector,
};
use std::ops::Sub;

//c = a - b , a,b,c E T^m
impl<T> Sub<Vector<T>> for Vector<T>
where
    T: Field + Scalar,
{
    type Output = Vector<T>;

    /// Subtracts two vectors
    ///
    /// # Example
    ///
    /// ```
    /// use mathru::algebra::linear::vector::Vector;
    ///
    /// let a: Vector<f64> = Vector::new_column(vec![1.0, 2.0, 3.0, 4.0]);
    /// let b: Vector<f64> = Vector::new_column(vec![3.0, -4.0, 5.0, 4.0]);
    /// let res_ref: Vector<f64> = Vector::new_column(vec![-2.0, 6.0, -2.0, 0.0]);
    ///
    /// assert_eq!(res_ref, a - b)
    /// ```
    fn sub(self, rhs: Vector<T>) -> Self::Output {
        Vector {
            data: self.data.sub(rhs.data),
        }
    }
}

impl<'a, T> Sub<&'a Vector<T>> for &Vector<T>
where
    T: Field + Scalar,
{
    type Output = Vector<T>;

    /// Subtracts two vectors
    ///
    /// # Example
    ///
    /// ```
    /// use mathru::algebra::linear::vector::Vector;
    ///
    /// let a: Vector<f64> = Vector::new_column(vec![1.0, 2.0, 3.0, 4.0]);
    /// let b: Vector<f64> = Vector::new_column(vec![3.0, -4.0, 5.0, 4.0]);
    /// let res_ref: Vector<f64> = Vector::new_column(vec![-2.0, 6.0, -2.0, 0.0]);
    ///
    /// assert_eq!(res_ref, &a - &b)
    /// ```
    fn sub(self, rhs: &'a Vector<T>) -> Self::Output {
        Vector {
            data: (&self.data).sub(&rhs.data),
        }
    }
}

impl<'a, 'b, T> Sub<&'b Vector<T>> for &'a mut Vector<T>
where
    T: Field + Scalar,
{
    type Output = &'a mut Vector<T>;

    /// Subtracts two vectors
    ///
    /// # Example
    ///
    /// ```
    /// use mathru::algebra::linear::vector::Vector;
    ///
    /// let mut a: Vector<f64> = Vector::new_column(vec![1.0, 2.0, 3.0, 4.0]);
    /// let b: Vector<f64> = Vector::new_column(vec![3.0, -4.0, 5.0, 4.0]);
    /// let res_ref: Vector<f64> = Vector::new_column(vec![-2.0, 6.0, -2.0, 0.0]);
    /// &mut a - &b;
    /// assert_eq!(res_ref, a)
    /// ```
    fn sub(self, rhs: &'b Vector<T>) -> Self::Output {
        let _ = &mut self.data - &rhs.data;
        self
    }
}

impl<T> Sub<T> for Vector<T>
where
    T: Field + Scalar,
{
    type Output = Vector<T>;

    /// Subtracts a scalar value from all vector elements
    ///
    /// # Example
    ///
    /// ```
    /// use mathru::algebra::linear::vector::Vector;
    ///
    /// let a: Vector<f64> = Vector::new_column(vec![1.0, 2.0, 3.0, 4.0]);
    /// let res_ref: Vector<f64> = Vector::new_column(vec![6.0, 7.0, 8.0, 9.0]);
    ///
    /// assert_eq!(res_ref, a - -5.0)
    /// ```
    fn sub(mut self, rhs: T) -> Self::Output {
        self.data = (&self.data).sub(&rhs);
        self
    }
}

impl<T> Sub<&T> for &Vector<T>
where
    T: Field + Scalar,
{
    type Output = Vector<T>;

    /// Subtract a scalar from vector elements
    ///
    /// # Example
    ///
    /// ```
    /// use mathru::algebra::linear::vector::Vector;
    ///
    /// let a: Vector<f64> = Vector::new_column(vec![1.0, 2.0, 3.0, 4.0]);
    /// let res_ref: Vector<f64> = Vector::new_column(vec![-4.0, -3.0, -2.0, -1.0]);
    ///
    /// assert_eq!(res_ref, a - 5.0)
    /// ```
    fn sub(self, rhs: &T) -> Self::Output {
        Vector {
            data: (&self.data).sub(rhs),
        }
    }
}

impl<'a, T> Sub<&T> for &'a mut Vector<T>
where
    T: Field + Scalar,
{
    type Output = &'a mut Vector<T>;

    /// Subtract a scalar from vector elements
    ///
    /// # Example
    ///
    /// ```
    /// use mathru::algebra::linear::vector::Vector;
    ///
    /// let mut a: Vector<f64> = Vector::new_column(vec![1.0, 2.0, 3.0, 4.0]);
    /// let res_ref: Vector<f64> = Vector::new_column(vec![-4.0, -3.0, -2.0, -1.0]);
    ///
    /// assert_eq!(res_ref, *(&mut a - &5.0))
    /// ```
    fn sub(self, rhs: &T) -> Self::Output {
        let _ = &mut self.data - rhs;
        self
    }
}