geotrans 1.2.0

Giant Magellan Telescope Geometric Transformations
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

use crate::{Gmt, Quaternion, Segment, SegmentTrait, Vector};

/// Geometric transformation with respect to the OSS coordinate system
pub trait Transform {
    /// Transforms the coordinates given in the OSS into a segment
    fn fro<M>(self, segment: Segment<M>) -> Self
    where
        M: Gmt,
        Self: Into<Vector>,
        Vector: Into<Self>,
        Segment<M>: SegmentTrait,
    {
        let u: Vector = self.into();
        let t = segment.translation();
        if let Some(q) = segment.rotation() {
            // let p: Quaternion = From::<Vector>::from(u);
            let v = Vector::from((q.complex_conjugate() * (u - t) * &q).vector_as_slice());
            v.into()
        } else {
            (u - t).into()
        }
    }
    /// Transforms a the vector given in the OSS into a segment
    fn vfrov<M>(self, segment: Segment<M>) -> Self
    where
        M: Gmt,
        Self: Into<Vector>,
        Vector: Into<Self>,
        Segment<M>: SegmentTrait,
    {
        if let Some(q) = segment.rotation() {
            let u: Vector = self.into();
            let p: Quaternion = From::<Vector>::from(u);
            let v = Vector::from((q.complex_conjugate() * p * &q).vector_as_slice());
            v.into()
        } else {
            self
        }
    }
    /// Transforms the coordinates of a segment into the OSS
    fn to<M>(self, segment: Segment<M>) -> Self
    where
        M: Gmt,
        Self: Into<Vector>,
        Vector: Into<Self>,
        Segment<M>: SegmentTrait,
    {
        let u: Vector = self.into();
        let t = segment.translation();
        if let Some(q) = segment.rotation() {
            let p: Quaternion = From::<Vector>::from(u);
            let v = Vector::from(
                (&q * p * q.complex_conjugate() + From::<Vector>::from(t)).vector_as_slice(),
            );
            v.into()
        } else {
            (u + t).into()
        }
    }
    /// Transforms a vector of a segment into the OSS
    fn vtov<M>(self, segment: Segment<M>) -> Self
    where
        M: Gmt,
        Self: Into<Vector>,
        Vector: Into<Self>,
        Segment<M>: SegmentTrait,
    {
        if let Some(q) = segment.rotation() {
            let u: Vector = self.into();
            let p: Quaternion = From::<Vector>::from(u);
            let v = Vector::from((&q * p * q.complex_conjugate()).vector_as_slice());
            v.into()
        } else {
            self
        }
    }
}
impl Transform for [f64; 3] {}
impl Transform for Vec<f64> {}
impl Transform for Vector {}
/// Mutable geometric transformation with respect to the OSS coordinate system
pub trait TransformMut<'a> {
    /// Transforms the coordinates given in the OSS into a segment
    fn fro<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait;
    /// Transforms a vector coordinates given in the OSS into a segment
    fn vfrov<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait;
    /// Transforms the coordinates of a segment into the OSS
    fn to<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait;
    /// Transforms a segment of a segment into the OSS
    fn vtov<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait;
}
impl<'a> TransformMut<'a> for &'a mut [f64; 3] {
    /// Transforms the coordinates given in the OSS into a segment
    fn fro<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait,
    {
        let v = self.to_owned().fro(segment);
        let _ = std::mem::replace(self, v);
    }
    /// Transforms a vector given in the OSS into a segment
    fn vfrov<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait,
    {
        let v = self.to_owned().vfrov(segment);
        let _ = std::mem::replace(self, v);
    }
    /// Transforms the coordinates of a segment into the OSS
    fn to<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait,
    {
        let v = self.to_owned().to(segment);
        let _ = std::mem::replace(self, v);
    }
    /// Transforms a vector of a segment into the OSS
    fn vtov<M>(self, segment: Segment<M>)
    where
        M: Gmt,
        Self: Into<Vector>,
        Segment<M>: SegmentTrait,
    {
        let v = self.to_owned().vtov(segment);
        let _ = std::mem::replace(self, v);
    }
}