[−][src]Crate shigens
The shigens
crate is a math library for calculate quaternion.
When there was such a variable
x = 1 + 2i + 3j + 4k
in shigens
can write like this.
use shigens::*; let x = quaternion(1, 2, 3, 4); // or let x = r(1) + i(2) + j(3) + k(4);
Examples
So far, I have implemented only basic operations.
use shigens::*; assert_eq!(i(1) * i(1), r(-1)); assert_eq!(j(1) * j(1), r(-1)); assert_eq!(k(1) * k(1), r(-1));
use shigens::*; let x1 = quaternion(2, 3, 4, 5); let x2 = quaternion(6, 7, 8, 9); let y = x1 + x2; assert_eq!(y.r.get_value(), 2 + 6); assert_eq!(y.i.get_value(), 3 + 7); assert_eq!(y.j.get_value(), 4 + 8); assert_eq!(y.k.get_value(), 5 + 9);
use shigens::*; let x1 = quaternion(2, 3, 4, 5); let x2 = quaternion(6, 7, 8, 9); let y = x1 * x2; assert_eq!(y.r.get_value(), 2 * 6 - 3 * 7 - 4 * 8 - 5 * 9); assert_eq!(y.i.get_value(), 2 * 7 + 3 * 6 + 4 * 9 - 5 * 8); assert_eq!(y.j.get_value(), 2 * 8 + 4 * 6 + 5 * 7 - 3 * 9); assert_eq!(y.k.get_value(), 2 * 9 + 5 * 6 + 3 * 8 - 4 * 7);
use shigens::*; let x = quaternion(2, 3, 4, 5); let y = x * i(2); assert_eq!(y.r.get_value(), 3 * 2 * -1); assert_eq!(y.i.get_value(), 2 * 2); assert_eq!(y.j.get_value(), 5 * 2); assert_eq!(y.k.get_value(), 4 * 2 * -1);
Structs
I | |
J | |
K | |
Quaternion | |
R |
Traits
One | |
Zero |
Functions
i | |
j | |
k | |
quaternion | |
r |