ga2 0.1.0

Common types for 2D geometric algebra
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

use crate::*;
use derive_more::{Add, AddAssign, Neg, Sub, SubAssign};
use num_traits::{real::Real, One, Zero};
use std::ops::{Div, DivAssign, Mul, MulAssign};
use vector_space::{DotProduct, InnerSpace, VectorSpace};

#[derive(Copy, Clone, Debug, PartialEq, Eq, Add, AddAssign, Sub, SubAssign, Neg)]
pub struct Rotor<T> {
    pub scalar: T,
    pub xy: T,
}

impl<T> Rotor<T> {
    pub fn new(scalar: T, xy: T) -> Self {
        Self { scalar, xy }
    }
}

impl<T: Zero> Rotor<T> {
    pub fn scalar(scalar: T) -> Self {
        Self {
            scalar,
            xy: T::zero(),
        }
    }

    pub fn xy(xy: T) -> Self {
        Self {
            scalar: T::zero(),
            xy,
        }
    }
}

impl<T: Zero> Zero for Rotor<T> {
    fn zero() -> Self {
        Self {
            scalar: T::zero(),
            xy: T::zero(),
        }
    }

    fn is_zero(&self) -> bool {
        self.scalar.is_zero() && self.xy.is_zero()
    }
}

impl<T: Real> One for Rotor<T> {
    fn one() -> Self {
        Self {
            scalar: T::one(),
            xy: T::zero(),
        }
    }

    fn is_one(&self) -> bool {
        self.scalar.is_one() && self.xy.is_zero()
    }
}

impl<T: Real> From<T> for Rotor<T> {
    fn from(scalar: T) -> Self {
        Self::scalar(scalar)
    }
}

impl<T> Mul<T> for Rotor<T>
where
    T: Mul<Output = T> + Copy,
{
    type Output = Self;
    fn mul(self, other: T) -> Self {
        Self {
            scalar: self.scalar * other,
            xy: self.xy * other,
        }
    }
}

impl<T> MulAssign<T> for Rotor<T>
where
    T: MulAssign + Copy,
{
    fn mul_assign(&mut self, other: T) {
        self.scalar *= other;
        self.xy *= other;
    }
}

impl<T> Div<T> for Rotor<T>
where
    T: Div<Output = T> + Copy,
{
    type Output = Self;
    fn div(self, other: T) -> Self {
        Self {
            scalar: self.scalar / other,
            xy: self.xy / other,
        }
    }
}

impl<T> DivAssign<T> for Rotor<T>
where
    T: DivAssign + Copy,
{
    fn div_assign(&mut self, other: T) {
        self.scalar /= other;
        self.xy /= other;
    }
}

impl<T: Real> VectorSpace for Rotor<T> {
    type Scalar = T;
}

impl<T: Real> DotProduct for Rotor<T> {
    type Output = Self::Scalar;
    fn dot(self, other: Self) -> T {
        self.scalar * other.scalar - self.xy * other.xy
    }
}

impl<T: Real> DotProduct<Vector<T>> for Rotor<T> {
    type Output = Vector<T>;
    #[inline]
    fn dot(self, other: Vector<T>) -> Vector<T> {
        other.dot(self)
    }
}

impl<T: Real> DotProduct<Bivector<T>> for Rotor<T> {
    type Output = Self;
    #[inline]
    fn dot(self, other: Bivector<T>) -> Self {
        other.dot(self)
    }
}

impl<T: Real> InnerSpace for Rotor<T> {}

impl<T: Real> Mul for Rotor<T> {
    type Output = Self;
    fn mul(self, other: Self) -> Self {
        Self {
            scalar: self.dot(other),
            xy: self.scalar * other.xy + other.scalar + self.xy,
        }
    }
}

impl<T: Real> MulAssign for Rotor<T> {
    fn mul_assign(&mut self, other: Self) {
        *self = *self * other;
    }
}