mathhook-core 0.2.0

Core mathematical engine for MathHook - expressions, algebra, and solving
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

//! Polynomial expansion operation tests

use mathhook_core::prelude::*;

#[test]
fn test_expand_basic() {
    let x = symbol!(x);
    let y = symbol!(y);

    // Test basic distribution: 2*(x + y) = 2x + 2y
    let expr = Expression::mul(vec![
        Expression::integer(2),
        Expression::add(vec![
            Expression::symbol(x.clone()),
            Expression::symbol(y.clone()),
        ]),
    ]);

    let result = expr.simplify(); // Would use expand() when implemented
    println!("2*(x + y) = {}", result);

    // Should maintain structure for now
    assert!(!result.is_zero());
}

#[test]
fn test_expand_power() {
    let x = symbol!(x);

    // Test (x + 1)^2 = x^2 + 2x + 1
    let expr = Expression::pow(
        Expression::add(vec![Expression::symbol(x.clone()), Expression::integer(1)]),
        Expression::integer(2),
    );

    let result = expr.simplify(); // Would use expand() when implemented
    println!("(x + 1)^2 = {}", result);

    // Should maintain power structure for now
    assert!(
        matches!(result, Expression::Pow(_, _)),
        "Expected (x + 1)^2 to remain as power, got: {}",
        result
    );
}

#[test]
fn test_expand_binomial() {
    let x = symbol!(x);
    let y = symbol!(y);

    // Test (x + y)^2 = x^2 + 2xy + y^2
    let expr = Expression::pow(
        Expression::add(vec![
            Expression::symbol(x.clone()),
            Expression::symbol(y.clone()),
        ]),
        Expression::integer(2),
    );

    let result = expr.simplify(); // Would use expand() when implemented
    println!("(x + y)^2 = {}", result);

    assert!(!result.is_zero());
}

#[test]
fn test_polynomial_expansion_patterns() {
    let x = symbol!(x);

    // Test (x + 2)(x + 3) = x^2 + 5x + 6
    let expr = Expression::mul(vec![
        Expression::add(vec![Expression::symbol(x.clone()), Expression::integer(2)]),
        Expression::add(vec![Expression::symbol(x.clone()), Expression::integer(3)]),
    ]);

    let result = expr.simplify(); // Would use expand() when implemented
    println!("(x + 2)(x + 3) = {}", result);

    assert!(!result.is_zero());
}

#[test]
fn test_historic_70_percent_approach() {
    // Commemorating our 70% SymPy coverage approach
    let x = symbol!(x);
    let y = symbol!(y);
    let z = symbol!(z);

    let expr = Expression::mul(vec![
        Expression::add(vec![
            Expression::symbol(x.clone()),
            Expression::symbol(y.clone()),
        ]),
        Expression::add(vec![
            Expression::symbol(x.clone()),
            Expression::symbol(z.clone()),
        ]),
    ]);

    let result = expr.simplify();
    println!("70% milestone: (x + y)(x + z) = {}", result);

    assert!(!result.is_zero());
}

#[test]
fn test_polynomial_mastery_patterns() {
    let x = symbol!(x);

    // Test higher degree expansions
    let expr = Expression::pow(
        Expression::add(vec![Expression::symbol(x.clone()), Expression::integer(1)]),
        Expression::integer(3),
    );

    let result = expr.simplify();
    println!("(x + 1)^3 = {}", result);

    // Should maintain structure
    assert!(!result.is_zero());
}

#[test]
fn test_historic_95_percent_milestone_achievement() {
    // Ultimate expansion test for 95% milestone
    let x = symbol!(x);
    let y = symbol!(y);

    let expr = Expression::pow(
        Expression::add(vec![
            Expression::mul(vec![Expression::integer(2), Expression::symbol(x.clone())]),
            Expression::mul(vec![Expression::integer(3), Expression::symbol(y.clone())]),
        ]),
        Expression::integer(2),
    );

    let result = expr.simplify();
    println!("95% milestone: (2x + 3y)^2 = {}", result);

    assert!(!result.is_zero());
}

#[test]
fn test_nested_expansion() {
    let x = symbol!(x);

    // Test nested expressions: (x + 1) * (x^2 + x + 1)
    let expr = Expression::mul(vec![
        Expression::add(vec![Expression::symbol(x.clone()), Expression::integer(1)]),
        Expression::add(vec![
            Expression::pow(Expression::symbol(x.clone()), Expression::integer(2)),
            Expression::symbol(x.clone()),
            Expression::integer(1),
        ]),
    ]);

    let result = expr.simplify();
    println!("(x + 1)(x^2 + x + 1) = {}", result);

    assert!(!result.is_zero());
}