pack 0.4.0

Solver for packing puzzle.
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

//! Symmetries of pieces.

/// Contract how various entities transform under the symmetries of the cube.
pub trait Transformable {
    /// Apply a symmetry and transform the entity.
    fn transform(&mut self, symmetry: &CubeSymmetry);
}

/// Symmetries of the Cube.
///
/// The group of symmetries of the cube is isomorphic to S<sub>4</sub>. Here we
/// use that fact as a naming convention for our elements.
#[derive(Clone)]
pub enum CubeSymmetry {
    #[allow(missing_docs)]
    E0123,
    #[allow(missing_docs)]
    E0132,
    #[allow(missing_docs)]
    E0213,
    #[allow(missing_docs)]
    E0231,
    #[allow(missing_docs)]
    E0312,
    #[allow(missing_docs)]
    E0321,

    #[allow(missing_docs)]
    E1023,
    #[allow(missing_docs)]
    E1032,
    #[allow(missing_docs)]
    E1203,
    #[allow(missing_docs)]
    E1230,
    #[allow(missing_docs)]
    E1302,
    #[allow(missing_docs)]
    E1320,

    #[allow(missing_docs)]
    E2013,
    #[allow(missing_docs)]
    E2031,
    #[allow(missing_docs)]
    E2103,
    #[allow(missing_docs)]
    E2130,
    #[allow(missing_docs)]
    E2301,
    #[allow(missing_docs)]
    E2310,

    #[allow(missing_docs)]
    E3012,
    #[allow(missing_docs)]
    E3021,
    #[allow(missing_docs)]
    E3102,
    #[allow(missing_docs)]
    E3120,
    #[allow(missing_docs)]
    E3201,
    #[allow(missing_docs)]
    E3210,
}

/// Iterator over the symmetries of the cube.
pub struct CubeSymmetryIterator {
    item: Option<CubeSymmetry>,
}

impl CubeSymmetryIterator {
    /// Create a `CubeSymmetryIterator`.
    pub fn new() -> CubeSymmetryIterator {
        CubeSymmetryIterator { item: Some(CubeSymmetry::E0123) }
    }
}

impl Iterator for CubeSymmetryIterator {
    type Item = CubeSymmetry;

    fn next(&mut self) -> Option<Self::Item> {
        match self.item.clone() {
            s @ Some(CubeSymmetry::E0123) => { self.item = Some(CubeSymmetry::E0132); s },
            s @ Some(CubeSymmetry::E0132) => { self.item = Some(CubeSymmetry::E0213); s },
            s @ Some(CubeSymmetry::E0213) => { self.item = Some(CubeSymmetry::E0231); s },
            s @ Some(CubeSymmetry::E0231) => { self.item = Some(CubeSymmetry::E0312); s },
            s @ Some(CubeSymmetry::E0312) => { self.item = Some(CubeSymmetry::E0321); s },
            s @ Some(CubeSymmetry::E0321) => { self.item = Some(CubeSymmetry::E1023); s },

            s @ Some(CubeSymmetry::E1023) => { self.item = Some(CubeSymmetry::E1032); s },
            s @ Some(CubeSymmetry::E1032) => { self.item = Some(CubeSymmetry::E1203); s },
            s @ Some(CubeSymmetry::E1203) => { self.item = Some(CubeSymmetry::E1230); s },
            s @ Some(CubeSymmetry::E1230) => { self.item = Some(CubeSymmetry::E1302); s },
            s @ Some(CubeSymmetry::E1302) => { self.item = Some(CubeSymmetry::E1320); s },
            s @ Some(CubeSymmetry::E1320) => { self.item = Some(CubeSymmetry::E2013); s },

            s @ Some(CubeSymmetry::E2013) => { self.item = Some(CubeSymmetry::E2031); s },
            s @ Some(CubeSymmetry::E2031) => { self.item = Some(CubeSymmetry::E2103); s },
            s @ Some(CubeSymmetry::E2103) => { self.item = Some(CubeSymmetry::E2130); s },
            s @ Some(CubeSymmetry::E2130) => { self.item = Some(CubeSymmetry::E2301); s },
            s @ Some(CubeSymmetry::E2301) => { self.item = Some(CubeSymmetry::E2310); s },
            s @ Some(CubeSymmetry::E2310) => { self.item = Some(CubeSymmetry::E3012); s },

            s @ Some(CubeSymmetry::E3012) => { self.item = Some(CubeSymmetry::E3021); s },
            s @ Some(CubeSymmetry::E3021) => { self.item = Some(CubeSymmetry::E3102); s },
            s @ Some(CubeSymmetry::E3102) => { self.item = Some(CubeSymmetry::E3120); s },
            s @ Some(CubeSymmetry::E3120) => { self.item = Some(CubeSymmetry::E3201); s },
            s @ Some(CubeSymmetry::E3201) => { self.item = Some(CubeSymmetry::E3210); s },
            s @ Some(CubeSymmetry::E3210) | s @ None => { self.item = None; s },
        }
    }
}

impl Transformable for (i8, i8, i8) {
    fn transform(&mut self, symmetry: &CubeSymmetry) {
        let x = self.0;
        let y = self.1;
        let z = self.2;
        let sx: i8;
        let sy: i8;
        let sz: i8;
        match *symmetry {
            CubeSymmetry::E0123 => { sx =  x; sy =  y; sz =  z; },
            CubeSymmetry::E0132 => { sx = -z; sy = -y; sz = -x; },
            CubeSymmetry::E0213 => { sx = -x; sy = -z; sz = -y; },
            CubeSymmetry::E0231 => { sx =  y; sy =  z; sz =  x; },
            CubeSymmetry::E0312 => { sx =  z; sy =  x; sz =  y; },
            CubeSymmetry::E0321 => { sx = -y; sy = -x; sz = -z; },
            CubeSymmetry::E1023 => { sx =  z; sy = -y; sz =  x; },
            CubeSymmetry::E1032 => { sx = -x; sy =  y; sz = -z; },
            CubeSymmetry::E1203 => { sx = -z; sy = -x; sz =  y; },
            CubeSymmetry::E1230 => { sx = -y; sy =  x; sz =  z; },
            CubeSymmetry::E1302 => { sx =  x; sy =  z; sz = -y; },
            CubeSymmetry::E1320 => { sx =  y; sy = -z; sz = -x; },
            CubeSymmetry::E2013 => { sx = -y; sy =  z; sz = -x; },
            CubeSymmetry::E2031 => { sx =  x; sy = -z; sz =  y; },
            CubeSymmetry::E2103 => { sx =  y; sy =  x; sz = -z; },
            CubeSymmetry::E2130 => { sx =  z; sy = -x; sz = -y; },
            CubeSymmetry::E2301 => { sx = -x; sy = -y; sz =  z; },
            CubeSymmetry::E2310 => { sx = -z; sy =  y; sz =  x; },
            CubeSymmetry::E3012 => { sx =  y; sy = -x; sz =  z; },
            CubeSymmetry::E3021 => { sx = -z; sy =  x; sz = -y; },
            CubeSymmetry::E3102 => { sx = -y; sy = -z; sz =  x; },
            CubeSymmetry::E3120 => { sx = -x; sy =  z; sz =  y; },
            CubeSymmetry::E3201 => { sx =  z; sy =  y; sz = -x; },
            CubeSymmetry::E3210 => { sx =  x; sy = -y; sz = -z; },
         }
        self.0 = sx;
        self.1 = sy;
        self.2 = sz;
    }
}

impl Transformable for (i8, i8) {
    fn transform(&mut self, symmetry: &CubeSymmetry) {
        let mut v: (i8, i8, i8) = (self.0, self.1, 0);
        v.transform(symmetry);
        self.0 = v.0;
        self.1 = v.1;
    }
}