trueno 0.17.2

High-performance SIMD compute library with GPU support for matrix operations
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

use super::super::super::super::*;
use proptest::prelude::*;

// Property test: trunc correctness
proptest! {
    #![proptest_config(ProptestConfig::with_cases(100))]

    #[test]
    fn test_trunc_correctness(
        a in prop::collection::vec(-100.0f32..100.0, 1..100)
    ) {
        let va = Vector::from_slice(&a);
        let result = va.trunc().unwrap();

        for (i, (&input, &output)) in a.iter()
            .zip(result.as_slice().iter())
            .enumerate() {
            let expected = input.trunc();
            prop_assert!(
                (output - expected).abs() < 1e-5,
                "trunc failed at {}: {} != {}",
                i, output, expected
            );
        }
    }
}

// Property test: trunc idempotence - trunc(trunc(x)) = trunc(x)
proptest! {
    #![proptest_config(ProptestConfig::with_cases(100))]

    #[test]
    fn test_trunc_idempotence(
        a in prop::collection::vec(-100.0f32..100.0, 1..100)
    ) {
        let va = Vector::from_slice(&a);
        let trunc_once = va.trunc().unwrap();
        let trunc_twice = trunc_once.trunc().unwrap();

        for (i, (&once, &twice)) in trunc_once.as_slice().iter()
            .zip(trunc_twice.as_slice().iter())
            .enumerate() {
            prop_assert!(
                (once - twice).abs() < 1e-5,
                "trunc idempotence failed at {}: trunc(trunc({})) = {} != {}",
                i, a[i], twice, once
            );
        }
    }
}

// Property test: trunc moves toward zero - |trunc(x)| <= |x|
proptest! {
    #![proptest_config(ProptestConfig::with_cases(100))]

    #[test]
    fn test_trunc_toward_zero(
        a in prop::collection::vec(-100.0f32..100.0, 1..100)
    ) {
        let va = Vector::from_slice(&a);
        let result = va.trunc().unwrap();

        for (i, (&input, &output)) in a.iter()
            .zip(result.as_slice().iter())
            .enumerate() {
            prop_assert!(
                output.abs() <= input.abs() + 1e-5,  // Small epsilon for floating point
                "trunc should move toward zero at {}: |trunc({})| = {} > |{}| = {}",
                i, input, output.abs(), input, input.abs()
            );
        }
    }
}

// Property test: fract correctness
proptest! {
    #![proptest_config(ProptestConfig::with_cases(100))]

    #[test]
    fn test_fract_correctness(
        a in prop::collection::vec(-100.0f32..100.0, 1..100)
    ) {
        let va = Vector::from_slice(&a);
        let result = va.fract().unwrap();

        for (i, (&input, &output)) in a.iter()
            .zip(result.as_slice().iter())
            .enumerate() {
            let expected = input.fract();
            prop_assert!(
                (output - expected).abs() < 1e-5,
                "fract failed at {}: {} != {}",
                i, output, expected
            );
        }
    }
}

// Property test: fract decomposition - x = trunc(x) + fract(x)
proptest! {
    #![proptest_config(ProptestConfig::with_cases(100))]

    #[test]
    fn test_fract_decomposition(
        a in prop::collection::vec(-100.0f32..100.0, 1..100)
    ) {
        let va = Vector::from_slice(&a);
        let trunc_result = va.trunc().unwrap();
        let fract_result = va.fract().unwrap();

        for (i, (&input, (&t, &f))) in a.iter()
            .zip(trunc_result.as_slice().iter().zip(fract_result.as_slice().iter()))
            .enumerate() {
            let reconstructed = t + f;
            prop_assert!(
                (reconstructed - input).abs() < 1e-5,
                "decomposition failed at {}: {} != trunc({}) + fract({}) = {} + {} = {}",
                i, input, input, input, t, f, reconstructed
            );
        }
    }
}

// Property test: fract magnitude - |fract(x)| < 1
proptest! {
    #![proptest_config(ProptestConfig::with_cases(100))]

    #[test]
    fn test_fract_magnitude(
        a in prop::collection::vec(-100.0f32..100.0, 1..100)
    ) {
        let va = Vector::from_slice(&a);
        let result = va.fract().unwrap();

        for (i, &output) in result.as_slice().iter().enumerate() {
            prop_assert!(
                output.abs() < 1.0,
                "fract magnitude should be < 1 at {}: |fract({})| = {} >= 1",
                i, a[i], output.abs()
            );
        }
    }
}