clifford 0.3.0

Geometric Algebra (Clifford Algebra) for Rust: rotors, motors, PGA for 3D rotations and rigid transforms
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
157
158
159
160
161
162
163
164
165

#![doc = " Multivector conversions for projective2."]
#![doc = ""]
#![doc = " This file is auto-generated by clifford-codegen."]
#![doc = " Do not edit manually."]
use super::types::{Flector, Line, Motor, Point, Scalar, Trivector};
use crate::algebra::Multivector;
use crate::basis::Blade;
use crate::scalar::Float;
use crate::signature::Projective2;
impl<T: Float> From<Flector<T>> for Multivector<T, Projective2> {
    fn from(value: Flector<T>) -> Self {
        Self::from_coeffs(&[
            value.s(),
            T::zero(),
            T::zero(),
            value.d(),
            T::zero(),
            -value.ny(),
            value.nx(),
            T::zero(),
        ])
    }
}
impl<T: Float> From<Line<T>> for Multivector<T, Projective2> {
    fn from(value: Line<T>) -> Self {
        Self::from_coeffs(&[
            T::zero(),
            T::zero(),
            T::zero(),
            value.d(),
            T::zero(),
            -value.ny(),
            value.nx(),
            T::zero(),
        ])
    }
}
impl<T: Float> From<Motor<T>> for Multivector<T, Projective2> {
    fn from(value: Motor<T>) -> Self {
        Self::from_coeffs(&[
            T::zero(),
            value.ty(),
            value.tx(),
            T::zero(),
            value.r(),
            T::zero(),
            T::zero(),
            value.ps(),
        ])
    }
}
impl<T: Float> From<Point<T>> for Multivector<T, Projective2> {
    fn from(value: Point<T>) -> Self {
        Self::from_coeffs(&[
            T::zero(),
            value.x(),
            value.y(),
            T::zero(),
            value.w(),
            T::zero(),
            T::zero(),
            T::zero(),
        ])
    }
}
impl<T: Float> From<Scalar<T>> for Multivector<T, Projective2> {
    fn from(value: Scalar<T>) -> Self {
        Self::from_coeffs(&[
            value.s(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
        ])
    }
}
impl<T: Float> From<Trivector<T>> for Multivector<T, Projective2> {
    fn from(value: Trivector<T>) -> Self {
        Self::from_coeffs(&[
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            T::zero(),
            value.ps(),
        ])
    }
}
impl<T: Float> From<Multivector<T, Projective2>> for Flector<T> {
    #[doc = r" Extracts this type from a multivector."]
    #[doc = r""]
    #[doc = r" Note: This is a lossy projection that only extracts the relevant"]
    #[doc = r" grades. Other components of the multivector are discarded."]
    fn from(mv: Multivector<T, Projective2>) -> Self {
        Self::new_unchecked(
            mv.get(Blade::from_index(0usize)),
            mv.get(Blade::from_index(3usize)),
            mv.get(Blade::from_index(6usize)),
            -mv.get(Blade::from_index(5usize)),
        )
    }
}
impl<T: Float> From<Multivector<T, Projective2>> for Line<T> {
    #[doc = r" Extracts this type from a multivector."]
    #[doc = r""]
    #[doc = r" Note: This is a lossy projection that only extracts the relevant"]
    #[doc = r" grades. Other components of the multivector are discarded."]
    fn from(mv: Multivector<T, Projective2>) -> Self {
        Self::new_unchecked(
            mv.get(Blade::from_index(3usize)),
            mv.get(Blade::from_index(6usize)),
            -mv.get(Blade::from_index(5usize)),
        )
    }
}
impl<T: Float> From<Multivector<T, Projective2>> for Motor<T> {
    #[doc = r" Extracts this type from a multivector."]
    #[doc = r""]
    #[doc = r" Note: This is a lossy projection that only extracts the relevant"]
    #[doc = r" grades. Other components of the multivector are discarded."]
    fn from(mv: Multivector<T, Projective2>) -> Self {
        Self::new_unchecked(
            mv.get(Blade::from_index(1usize)),
            mv.get(Blade::from_index(2usize)),
            mv.get(Blade::from_index(4usize)),
            mv.get(Blade::from_index(7usize)),
        )
    }
}
impl<T: Float> From<Multivector<T, Projective2>> for Point<T> {
    #[doc = r" Extracts this type from a multivector."]
    #[doc = r""]
    #[doc = r" Note: This is a lossy projection that only extracts the relevant"]
    #[doc = r" grades. Other components of the multivector are discarded."]
    fn from(mv: Multivector<T, Projective2>) -> Self {
        Self::new_unchecked(
            mv.get(Blade::from_index(1usize)),
            mv.get(Blade::from_index(2usize)),
            mv.get(Blade::from_index(4usize)),
        )
    }
}
impl<T: Float> From<Multivector<T, Projective2>> for Scalar<T> {
    #[doc = r" Extracts this type from a multivector."]
    #[doc = r""]
    #[doc = r" Note: This is a lossy projection that only extracts the relevant"]
    #[doc = r" grades. Other components of the multivector are discarded."]
    fn from(mv: Multivector<T, Projective2>) -> Self {
        Self::new_unchecked(mv.get(Blade::from_index(0usize)))
    }
}
impl<T: Float> From<Multivector<T, Projective2>> for Trivector<T> {
    #[doc = r" Extracts this type from a multivector."]
    #[doc = r""]
    #[doc = r" Note: This is a lossy projection that only extracts the relevant"]
    #[doc = r" grades. Other components of the multivector are discarded."]
    fn from(mv: Multivector<T, Projective2>) -> Self {
        Self::new_unchecked(mv.get(Blade::from_index(7usize)))
    }
}