1 // Copyright 2012-2014 The Rust Project Developers. See the COPYRIGHT
2 // file at the top-level directory of this distribution and at
3 // http://rust-lang.org/COPYRIGHT.
5 // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
6 // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
7 // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
8 // option. This file may not be copied, modified, or distributed
9 // except according to those terms.
11 macro_rules! assert_approx_eq {
12 ($a:expr, $b:expr) => {{
13 let (a, b) = (&$a, &$b);
14 assert!((*a - *b).abs() < 1.0e-6, "{} is not approximately equal to {}", *a, *b);
18 fn ldexp(a: f64, b: i32) -> f64 {
20 fn ldexp(x: f64, n: i32) -> f64;
22 unsafe { ldexp(a, b) }
29 assert_approx_eq!(64f32.sqrt(), 8f32);
30 assert_approx_eq!(64f64.sqrt(), 8f64);
32 assert_approx_eq!(25f32.powi(-2), 0.0016f32);
33 assert_approx_eq!(23.2f64.powi(2), 538.24f64);
35 assert_approx_eq!(25f32.powf(-2f32), 0.0016f32);
36 assert_approx_eq!(400f64.powf(0.5f64), 20f64);
38 assert_approx_eq!(1f32.exp(), f32::consts::E);
39 assert_approx_eq!(1f64.exp(), f64::consts::E);
41 assert_approx_eq!(1f32.exp_m1(), f32::consts::E - 1.0);
42 assert_approx_eq!(1f64.exp_m1(), f64::consts::E - 1.0);
44 assert_approx_eq!(10f32.exp2(), 1024f32);
45 assert_approx_eq!(50f64.exp2(), 1125899906842624f64);
47 assert_approx_eq!(f32::consts::E.ln(), 1f32);
48 assert_approx_eq!(1f64.ln(), 0f64);
50 assert_approx_eq!(0f32.ln_1p(), 0f32);
51 assert_approx_eq!(0f64.ln_1p(), 0f64);
53 assert_approx_eq!(10f32.log10(), 1f32);
54 assert_approx_eq!(f64::consts::E.log10(), f64::consts::LOG10_E);
56 assert_approx_eq!(8f32.log2(), 3f32);
57 assert_approx_eq!(f64::consts::E.log2(), f64::consts::LOG2_E);
59 assert_approx_eq!(3.0f32.mul_add(2.0f32, 5.0f32), 11.0);
60 assert_eq!(0.0f32.mul_add(-2.0, f32::consts::E), f32::consts::E);
61 assert_approx_eq!(3.0f64.mul_add(2.0, 5.0), 11.0);
62 assert_eq!(0.0f64.mul_add(-2.0f64, f64::consts::E), f64::consts::E);
63 assert_eq!((-3.2f32).mul_add(2.4, f32::NEG_INFINITY), f32::NEG_INFINITY);
64 assert_eq!((-3.2f64).mul_add(2.4, f64::NEG_INFINITY), f64::NEG_INFINITY);
66 assert_approx_eq!((-1.0f32).abs(), 1.0f32);
67 assert_approx_eq!(34.2f64.abs(), 34.2f64);
71 assert_approx_eq!(5.0f32.abs_sub(3.0), 2.0);
72 assert_approx_eq!(3.0f64.abs_sub(5.0), 0.0);
75 assert_approx_eq!(3.8f32.floor(), 3.0f32);
76 assert_approx_eq!((-1.1f64).floor(), -2.0f64);
78 assert_approx_eq!((-2.3f32).ceil(), -2.0f32);
79 assert_approx_eq!(3.8f64.ceil(), 4.0f64);
81 assert_approx_eq!(0.1f32.trunc(), 0.0f32);
82 assert_approx_eq!((-0.1f64).trunc(), 0.0f64);
84 assert_approx_eq!(27.0f32.cbrt(), 3.0f32);
85 assert_approx_eq!(27.0f64.cbrt(), 3.0f64);
87 assert_approx_eq!(3.0f32.hypot(4.0f32), 5.0f32);
88 assert_approx_eq!(3.0f64.hypot(4.0f64), 5.0f64);
90 assert_eq!(3.3_f32.round(), 3.0);
91 assert_eq!(3.3_f64.round(), 3.0);
93 assert_eq!(ldexp(0.65f64, 3i32), 5.2f64);
94 assert_eq!(ldexp(1.42, 0xFFFF), f64::INFINITY);
95 assert_eq!(ldexp(1.42, -0xFFFF), 0f64);
97 // Trigonometric functions.
99 assert_approx_eq!(0f32.sin(), 0f32);
100 assert_approx_eq!((f64::consts::PI / 2f64).sin(), 1f64);
101 assert_approx_eq!(f32::consts::FRAC_PI_6.sin(), 0.5);
102 assert_approx_eq!(f64::consts::FRAC_PI_6.sin(), 0.5);
103 assert_approx_eq!(f32::consts::FRAC_PI_4.sin().asin(), f32::consts::FRAC_PI_4);
104 assert_approx_eq!(f64::consts::FRAC_PI_4.sin().asin(), f64::consts::FRAC_PI_4);
106 assert_approx_eq!(1.0f32.sinh(), 1.1752012f32);
107 assert_approx_eq!(1.0f64.sinh(), 1.1752012f64);
108 assert_approx_eq!(2.0f32.asinh(), 1.443635475178810342493276740273105f32);
109 assert_approx_eq!((-2.0f64).asinh(), -1.443635475178810342493276740273105f64);
111 assert_approx_eq!(0f32.cos(), 1f32);
112 assert_approx_eq!((f64::consts::PI * 2f64).cos(), 1f64);
113 assert_approx_eq!(f32::consts::FRAC_PI_3.cos(), 0.5);
114 assert_approx_eq!(f64::consts::FRAC_PI_3.cos(), 0.5);
115 assert_approx_eq!(f32::consts::FRAC_PI_4.cos().acos(), f32::consts::FRAC_PI_4);
116 assert_approx_eq!(f64::consts::FRAC_PI_4.cos().acos(), f64::consts::FRAC_PI_4);
118 assert_approx_eq!(1.0f32.cosh(), 1.54308f32);
119 assert_approx_eq!(1.0f64.cosh(), 1.54308f64);
120 assert_approx_eq!(2.0f32.acosh(), 1.31695789692481670862504634730796844f32);
121 assert_approx_eq!(3.0f64.acosh(), 1.76274717403908605046521864995958461f64);
123 assert_approx_eq!(1.0f32.tan(), 1.557408f32);
124 assert_approx_eq!(1.0f64.tan(), 1.557408f64);
125 assert_approx_eq!(1.0_f32, 1.0_f32.tan().atan());
126 assert_approx_eq!(1.0_f64, 1.0_f64.tan().atan());
127 assert_approx_eq!(1.0f32.atan2(2.0f32), 0.46364761f32);
128 assert_approx_eq!(1.0f32.atan2(2.0f32), 0.46364761f32);
132 (1.0 - f32::consts::E.powi(-2)) / (1.0 + f32::consts::E.powi(-2))
136 (1.0 - f64::consts::E.powi(-2)) / (1.0 + f64::consts::E.powi(-2))
138 assert_approx_eq!(0.5f32.atanh(), 0.54930614433405484569762261846126285f32);
139 assert_approx_eq!(0.5f64.atanh(), 0.54930614433405484569762261846126285f64);