dashu-float 0.4.3

A big float library supporting arbitrary precision, arbitrary base and arbitrary rounding mode
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
163
164
165
166
167

use dashu_float::{
    rand::{Uniform01, UniformFBig},
    DBig,
};
use rand_v08::{distributions::uniform::Uniform, prelude::*};

mod helper_macros;

type FBig = dashu_float::FBig;

#[test]
#[rustfmt::skip::macros(fbig)]
fn test_uniform01_binary() {
    let mut rng = StdRng::seed_from_u64(1);

    let distr = Uniform01::new(8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= fbig!(0) && x < fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < fbig!(1) && x > fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);

    let distr = Uniform01::new_closed(8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= fbig!(0) && x < fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= fbig!(1) && x > fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);

    let distr = Uniform01::new_open(8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x > fbig!(0) && x < fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < fbig!(1) && x > fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);

    let distr = Uniform01::new_open_closed(8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x > fbig!(0) && x < fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);
    let x: FBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= fbig!(1) && x > fbig!(0x1p-1));
    assert_eq!(x.precision(), 8);

    // test the standard distribution
    let x: FBig = rng.gen();
    assert!(x >= fbig!(0) && x < fbig!(1));
}

#[test]
#[rustfmt::skip::macros(fbig)]
fn test_uniform_binary() {
    let mut rng = StdRng::seed_from_u64(1);

    let distr = Uniform::from(fbig!(0x3)..fbig!(0x07));
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= fbig!(0x3) && x < fbig!(0x5));
    assert_eq!(x.precision(), 8);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < fbig!(0x7) && x > fbig!(0x5));
    assert_eq!(x.precision(), 8);

    let distr = Uniform::from(fbig!(-0x07)..=fbig!(-0x3));
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= fbig!(-0x7) && x < fbig!(-0x5));
    assert_eq!(x.precision(), 8);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= fbig!(-0x3) && x > fbig!(-0x5));
    assert_eq!(x.precision(), 8);

    let distr = UniformFBig::new(&fbig!(0x3), &fbig!(0x7), 8);
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= fbig!(0x3) && x < fbig!(0x5));
    assert_eq!(x.precision(), 8);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < fbig!(0x7) && x > fbig!(0x5));
    assert_eq!(x.precision(), 8);

    let distr = UniformFBig::new_inclusive(&fbig!(-0x7p-3), &fbig!(0x3p-3), 8);
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= fbig!(-0x7p-3) && x < fbig!(-0x5p-3));
    assert_eq!(x.precision(), 8);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= fbig!(0x3p-3) && x > fbig!(-0x5p-3));
    assert_eq!(x.precision(), 8);
}

#[test]
fn test_uniform01_decimal() {
    let mut rng = StdRng::seed_from_u64(1);

    let distr = Uniform01::new(2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= dbig!(0) && x < dbig!(0.5));
    assert_eq!(x.precision(), 2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < dbig!(1) && x > dbig!(0.5));
    assert_eq!(x.precision(), 2);

    let distr = Uniform01::new_closed(2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= dbig!(0) && x < dbig!(0.5));
    assert_eq!(x.precision(), 2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= dbig!(1) && x > dbig!(0.5));
    assert_eq!(x.precision(), 2);

    let distr = Uniform01::new_open(2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x > dbig!(0) && x < dbig!(0.5));
    assert_eq!(x.precision(), 2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < dbig!(1) && x > dbig!(0.5));
    assert_eq!(x.precision(), 2);

    let distr = Uniform01::new_open_closed(2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x > dbig!(0) && x < dbig!(0.5));
    assert_eq!(x.precision(), 2);
    let x: DBig = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= dbig!(1) && x > dbig!(0.5));
    assert_eq!(x.precision(), 2);

    // test the standard distribution
    let x: DBig = rng.gen();
    assert!(x >= dbig!(0) && x < dbig!(1));
}

#[test]
fn test_uniform_decimal() {
    let mut rng = StdRng::seed_from_u64(1);

    let distr = Uniform::from(dbig!(3)..dbig!(07));
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= dbig!(3) && x < dbig!(5));
    assert_eq!(x.precision(), 2);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < dbig!(7) && x > dbig!(5));
    assert_eq!(x.precision(), 2);

    let distr = Uniform::from(dbig!(-07)..=dbig!(-3));
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= dbig!(-7) && x < dbig!(-5));
    assert_eq!(x.precision(), 2);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= dbig!(-3) && x > dbig!(-5));
    assert_eq!(x.precision(), 2);

    let distr = UniformFBig::new(&dbig!(0.3), &dbig!(0.7), 2);
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= dbig!(0.3) && x < dbig!(0.5));
    assert_eq!(x.precision(), 2);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x < dbig!(0.7) && x > dbig!(0.5));
    assert_eq!(x.precision(), 2);

    let distr = UniformFBig::new_inclusive(&dbig!(-0.7), &dbig!(0.3), 2);
    let x = (&mut rng).sample_iter(&distr).take(1000).min().unwrap();
    assert!(x >= dbig!(-0.7) && x < dbig!(-0.5));
    assert_eq!(x.precision(), 2);
    let x = (&mut rng).sample_iter(&distr).take(1000).max().unwrap();
    assert!(x <= dbig!(0.3) && x > dbig!(-0.5));
    assert_eq!(x.precision(), 2);
}