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

//! # Oak Hamilton Scientific Library
//!
//! `ohsl` is a collection of numerical routines and mathematical types
//! for use in scientific computing. 

//TODO quaternion.rs -> implement as a scalar and vector part in a struct + examples

pub mod elementary;
pub mod constant;
pub mod complex;
pub mod vector;
pub mod traits;
pub mod matrix;
pub mod mesh1d;
pub mod newton;
pub mod mesh2d;

// Re-exports
pub use self::complex::{Complex, Cmplx};
pub use self::vector::{Vector, Vec64};
pub use self::traits::{Number, Signed, Zero, One};
pub use self::matrix::{Matrix, Mat64};
pub use self::mesh1d::Mesh1D;
pub use self::newton::Newton;
pub use self::mesh2d::Mesh2D;


// cargo test

#[cfg(test)]
mod tests {

    //pub use crate::complex::{Complex, Cmplx};
    //pub use crate::traits::{Zero, One};
    pub use crate::vector::{Vector, Vec64};
    //pub use crate::matrix::{Matrix, Mat64};
    //pub use crate::mesh1d::Mesh1D;
    //pub use crate::newton::Newton;
    pub use crate::mesh2d::Mesh2D;

    #[test]
    fn test_example() {
        let v = Vector::<i32>::empty();
        assert_eq!( v.size(), 0 );
    }
    
    #[test]
    fn test_mesh2d_construction() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        mesh[(0,0)][1] = 3.14;
        assert_eq!( mesh[(0,0)][1], 3.14 );
        assert_eq!( mesh.nvars(), 3 );
        assert_eq!( mesh.nnodes().0, 11 );
        assert_eq!( mesh.nnodes().1, 21 );
    }

    #[test]
    fn test_mesh2d_coord_nodes() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        assert_eq!( mesh.coord( 2, 4 ), ( 0.2, 0.4 ) );
        assert!( ( mesh.xnodes()[3] - 0.3 ).abs() < 1.0e-8 );
        assert!( ( mesh.ynodes()[19] - 1.9 ).abs() < 1.0e-8 );
    }

    #[test]
    fn test_mesh2d_set_nodes_vars() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        let vec = Vec64::new( 3, 3.14 );
        mesh.set_nodes_vars( 2, 4, vec );
        assert_eq!( mesh[(2,4)][0], 3.14 );
        assert_eq!( mesh[(2,4)][1], 3.14 );
        assert_eq!( mesh[(2,4)][2], 3.14 );
    }

    #[test]
    fn test_mesh2d_get_nodes_vars() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        mesh[(0,0)][1] = 3.14;
        mesh[(0,0)][2] = 6.28;
        let vec = mesh.get_nodes_vars( 0, 0 );
        assert_eq!( vec[0], 0.0 );
        assert_eq!( vec[1], 3.14 );
        assert_eq!( vec[2], 6.28 );
    }

    #[test]
    fn test_mesh2d_assign() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        mesh.assign( 2.718 );
        for i in 0..11 {
            for j in 0..21 {
                let vec = mesh.get_nodes_vars( i, j );
                assert_eq!( vec[0], 2.718 );
                assert_eq!( vec[1], 2.718 );
                assert_eq!( vec[2], 2.718 );
            }
        }
    }

    #[test]
    fn test_mesh2d_cross_section() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        let vec = Vec64::new( 3, 3.14 );
        mesh.set_nodes_vars( 2, 4, vec );
        let y_section = mesh.cross_section_xnode( 2 );
        assert_eq!( y_section.nnodes(), 21 );
        assert_eq!( y_section[4][0], 3.14 );
        assert_eq!( y_section[4][1], 3.14 );
        assert_eq!( y_section[4][2], 3.14 );
        let x_section = mesh.cross_section_ynode( 4 );
        assert_eq!( x_section.nnodes(), 11 );
        assert_eq!( x_section[2][0], 3.14 );
        assert_eq!( x_section[2][1], 3.14 );
        assert_eq!( x_section[2][2], 3.14 );
    }

    #[test]
    fn test_mesh2d_var_as_matrix() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 6 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 6 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        mesh.assign( 2.718 );
        mesh[(0,0)][1] = 3.14;
        let mat = mesh.var_as_matrix( 1 );
        assert_eq!( mat[0][0], 3.14 );
        assert_eq!( mat[0][1], 2.718 );
    }

    /*#[test]
    fn test_mesh2d_output() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        for i in 0..mesh.xnodes().size() {
            let x = mesh.xnodes()[i].clone();
            for j in 0..mesh.ynodes().size() {
            let y = mesh.ynodes()[j].clone();
                mesh[(i,j)][0] = 2.0 * x * y;
                mesh[(i,j)][1] = x * x + y * y;
                mesh[(i,j)][2] = x - y;
            }
        }
        //mesh.output( "./output.txt", 5 );
        mesh.output_var( "./output.txt", 0, 5)
    }*/

    fn myfunction( x: f64, y: f64 ) -> f64 {
        2.0 * x * y
    }

    #[test]
    fn test_mesh2d_apply() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        mesh.apply( &myfunction, 0 );
        assert!( ( mesh[(1,1)][0] - 0.02 ).abs() < 1.0e-8 );
    }

    #[test]
    fn test_mesh2d_trapezium() {
        let x_nodes = Vec64::linspace( 0.0, 1.0, 11 );
        let y_nodes = Vec64::linspace( 0.0, 2.0, 21 );
        let mut mesh = Mesh2D::<f64>::new( x_nodes, y_nodes, 3 );
        mesh.apply( &myfunction, 0 );
        let integral = mesh.trapezium( 0 );
        assert!( ( integral - 2.0 ).abs() < 0.001 );
    }

}