Module fixed::consts[][src]

Expand description

Mathematical constants.

The constants have the maximum precision possible for a fixed-point number, and are rounded down at that precision.

Examples

use fixed::{consts, types::I4F28};
let tau = I4F28::from_num(consts::TAU);
println!("τ = 2π with eight binary places is {:.8b}", tau);
assert_eq!(format!("{:.8b}", tau), "110.01001000");
println!("τ = 2π with eight decimal places is {:.8}", tau);
assert_eq!(format!("{:.8}", tau), "6.28318531");

Constants

Catalan’s constant = 0.915965…

Euler’s number, e = 2.71828…

The golden ratio conjugate, Φ = 1/φ = 0.618033…

1/π = 0.318309…

1/√2 = 0.707106…

1/√3 = 0.577350…

1/√π = 0.564189…

1/τ = 0.159154…

2/π = 0.636619…

2/√π = 1.12837…

2/τ = 0.318309…

4/τ = 0.636619…

π/2 = 1.57079…

π/3 = 1.04719…

π/4 = 0.785398…

π/6 = 0.523598…

π/8 = 0.392699…

τ/2 = 3.14159…

τ/3 = 2.09439…

τ/4 = 1.57079…

τ/6 = 1.04719…

τ/8 = 0.785398…

τ/12 = 0.523598…

The Euler-Mascheroni constant, γ = 0.577215…

ln 2 = 0.693147…

ln 10 = 2.30258…

log2 10 = 3.32192…

log2 e = 1.44269…

log10 2 = 0.301029…

log10 e = 0.434294…

The golden ratio, φ = 1.61803…

Archimedes’ constant, π = 3.14159…

√2 = 1.41421…

√3 = 1.73205…

√e = 1.64872…

√φ = 1.27201…

√π = 1.77245…

A turn, τ = 6.28318…