RustedSciThe 0.4.11

Rust framework for symbolic and numerical computing:BVP ( Newton-Raphson frozen/damped/with collocations ), IVP( BDF, Radau, Backward Euler, LSODE, LSODA, RK45, DoPri), nonlinear equations ( Levenberg, Gavin) and more
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

use RustedSciThe::Utils::bevy_2d::{MultiPlotter, PlotColor};
use nalgebra::{DMatrix, DVector};
use std::f64::consts::PI;
use std::collections::HashMap;

fn main() {  
    println!("Mathematical Functions Visualization");
    println!("===================================");

    // Example 1: Trigonometric functions
    //example_trigonometric();

    // Uncomment to run other examples:
    example_exponential_logarithmic();
    // example_polynomial();
}

#[allow(dead_code)]
fn example_trigonometric() {
    println!("Plotting trigonometric functions...");

    let n = 300;
    let x = DVector::from_iterator(n, (0..n).map(|i| i as f64 * 4.0 * PI / n as f64));

    let mut ys = DMatrix::zeros(3, n);
    for i in 0..n {
        let xi = x[i];
        ys[(0, i)] = xi.sin();
        ys[(1, i)] = xi.cos();
        ys[(2, i)] = (xi / 2.0).tan().clamp(-3.0, 3.0); // Clamp tan to avoid extreme values
    }

    let names = vec![
        "sin(x)".to_string(),
        "cos(x)".to_string(),
        "tan(x/2)".to_string(),
    ];

    // Test with minimal spacing and small fonts
    let mut colors = HashMap::new();
    colors.insert("sin(x)".to_string(), PlotColor::Blue);
    colors.insert("cos(x)".to_string(), PlotColor::LightGreen);
    colors.insert("tan(x/2)".to_string(), PlotColor::Magenta);

    MultiPlotter {
        subplot_height: 1.5,
        subplot_spacing: 2.0,
        nticks_x: 4,
        nticks_y: 3,
        axis_font_size: 10.0,
        line_width: 1.5,
        colors: Some(colors),
        ..Default::default()
    }.plot_static_multiplot(x, ys, names);
}

#[allow(dead_code)]
fn example_exponential_logarithmic() {
    println!("Plotting exponential and logarithmic functions...");

    let n = 200;
    let x = DVector::from_iterator(n, (1..=n).map(|i| i as f64 * 0.1));

    let mut ys = DMatrix::zeros(3, n);
    for i in 0..n {
        let xi = x[i];
        ys[(0, i)] = (-xi).exp();
        ys[(1, i)] = xi.ln();
        ys[(2, i)] = xi.sqrt();
    }

    let names = vec![
        "exp(-x)".to_string(),
        "ln(x)".to_string(),
        "sqrt(x)".to_string(),
    ];

    // Test with large spacing and big fonts
    MultiPlotter {
        subplot_height: 4.0,
        subplot_spacing: 5.0,
        nticks_x: 10,
        nticks_y: 8,
        axis_font_size: 16.0,
        line_width: 3.0,
        colors: None, // Use default colors
        ..Default::default()
    }.plot_static_multiplot(x, ys, names);
}

#[allow(dead_code)]
fn example_polynomial() {
    println!("Plotting polynomial functions...");

    let n = 100;
    let x = DVector::from_iterator(n, (0..n).map(|i| (i as f64 - 50.0) * 0.1));

    let mut ys = DMatrix::zeros(4, n);
    for i in 0..n {
        let xi = x[i];
        ys[(0, i)] = xi; // Linear
        ys[(1, i)] = xi * xi; // Quadratic
        ys[(2, i)] = xi * xi * xi; // Cubic
        ys[(3, i)] = xi * xi * xi * xi; // Quartic
    }

    let names = vec![
        "x".to_string(),
        "x²".to_string(),
        "x³".to_string(),
        "x⁴".to_string(),
    ];

    // Test with custom colors for polynomials
    let mut colors = HashMap::new();
    colors.insert("x".to_string(), PlotColor::Black);
    colors.insert("x²".to_string(), PlotColor::DarkRed);
    colors.insert("x³".to_string(), PlotColor::DarkBlue);
    colors.insert("x⁴".to_string(), PlotColor::Brown);

    MultiPlotter {
        subplot_height: 2.5,
        subplot_spacing: 3.5,
        nticks_x: 7,
        nticks_y: 5,
        axis_font_size: 13.0,
        line_width: 2.5,
        colors: Some(colors),
        ..Default::default()
    }.plot_static_multiplot(x, ys, names);
}