vecmat 0.7.8

Low-dimensional vector algebra with min_const_generics support
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

pub use crate::complex::Moebius;
use crate::{complex::{Complex, Quaternion}, Transform, transform::Directional, traits::Normalize};
use core::ops::Neg;
use num_traits::{Num, NumCast};


impl<T> Transform<Complex<T>> for Moebius<Complex<T>>
where
    T: Neg<Output = T> + Num + Copy
{
    fn identity() -> Self {
        Moebius::identity()
    }
    fn inv(self) -> Self {
        Moebius::inv(self)
    }

    fn apply(&self, pos: Complex<T>) -> Complex<T> {
        Moebius::apply(self, pos)
    }
    fn deriv(&self, pos: Complex<T>, dir: Complex<T>) -> Complex<T> {
        Moebius::deriv(self, pos) * dir
    }

    fn chain(self, other: Self) -> Self {
        Moebius::chain(self, other)
    }
}

impl<T> Transform<Quaternion<T>> for Moebius<Complex<T>>
where
    T: Neg<Output = T> + Num + NumCast + Copy
{
    fn identity() -> Self {
        Moebius::identity()
    }
    fn inv(self) -> Self {
        Moebius::inv(self)
    }

    fn apply(&self, pos: Quaternion<T>) -> Quaternion<T> {
        Moebius::apply(self, pos)
    }
    fn deriv(&self, pos: Quaternion<T>, dir: Quaternion<T>) -> Quaternion<T> {
        Moebius::deriv_dir(self, pos, dir)
    }

    fn chain(self, other: Self) -> Self {
        Moebius::chain(self, other)
    }
}

impl<T> Directional<Complex<T>> for Moebius<Complex<T>>
where
    Self: Transform<Complex<T>>,
    Complex<T>: Normalize,
{
    fn apply_dir(&self, pos: Complex<T>, dir: Complex<T>) -> Complex<T> {
        self.deriv(pos, dir).normalize()
    }
    fn apply_normal(&self, pos: Complex<T>, normal: Complex<T>) -> Complex<T> {
        self.apply_dir(pos, normal)
    }
}

impl<T> Directional<Quaternion<T>> for Moebius<Complex<T>>
where
    Self: Transform<Quaternion<T>>,
    Quaternion<T>: Normalize,
{
    fn apply_dir(&self, pos: Quaternion<T>, dir: Quaternion<T>) -> Quaternion<T> {
        self.deriv(pos, dir).normalize()
    }
    fn apply_normal(&self, pos: Quaternion<T>, normal: Quaternion<T>) -> Quaternion<T> {
        self.apply_dir(pos, normal)
    }
}