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Daniel Ledda
2021-06-02 08:50:52 +02:00
parent 3d7df31097
commit e7b8ae6120
50 changed files with 4609 additions and 2272 deletions
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public/resources/bevel-cube/000000.mtl Normal file
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public/resources/bevel-cube/000001.mtl Normal file
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usemtl None
s 1
f 58/1/1 41/2/2 116/3/3 134/4/4
f 96/5/5 79/6/6 3/7/7 22/8/8
f 20/9/9 2/10/10 39/11/11 60/12/12
f 135/13/13 115/14/14 77/15/15 98/16/16
f 97/17/17 21/18/18 59/19/19 136/20/20
f 1/21/21 4/22/22 7/23/23 6/24/24
f 4/22/22 5/25/25 8/26/26 7/23/23
f 6/24/24 7/23/23 19/27/27 16/28/28
f 7/23/23 8/26/26 9/29/29 19/27/27
f 2/10/10 10/30/30 13/31/31 12/32/32
f 10/30/30 11/33/33 14/34/34 13/31/31
f 12/32/32 13/31/31 8/35/26 5/36/25
f 13/31/31 14/34/34 9/37/29 8/35/26
f 3/7/7 15/38/35 18/39/36 17/40/37
f 15/38/35 16/41/28 19/42/27 18/39/36
f 17/40/37 18/39/36 14/43/34 11/44/33
f 18/39/36 19/42/27 9/45/29 14/43/34
f 20/9/9 23/46/38 26/47/39 25/48/40
f 23/46/38 24/49/41 27/50/42 26/47/39
f 25/48/40 26/47/39 38/51/43 35/52/44
f 26/47/39 27/50/42 28/53/45 38/51/43
f 21/18/18 29/54/46 32/55/47 31/56/48
f 29/54/46 30/57/49 33/58/50 32/55/47
f 31/56/48 32/55/47 27/59/42 24/60/41
f 32/55/47 33/58/50 28/61/45 27/59/42
f 22/8/8 34/62/51 37/63/52 36/64/53
f 34/62/51 35/65/44 38/66/43 37/63/52
f 36/64/53 37/63/52 33/67/50 30/68/49
f 37/63/52 38/66/43 28/69/45 33/67/50
f 39/11/11 42/70/54 45/71/55 44/72/56
f 42/70/54 43/73/57 46/74/58 45/71/55
f 44/72/56 45/71/55 57/75/59 54/76/60
f 45/71/55 46/74/58 47/77/61 57/75/59
f 40/78/62 48/79/63 51/80/64 50/81/65
f 48/79/63 49/82/66 52/83/67 51/80/64
f 50/81/65 51/80/64 46/84/58 43/85/57
f 51/80/64 52/83/67 47/86/61 46/84/58
f 41/2/2 53/87/68 56/88/69 55/89/70
f 53/87/68 54/90/60 57/91/59 56/88/69
f 55/89/70 56/88/69 52/92/67 49/93/66
f 56/88/69 57/91/59 47/94/61 52/92/67
f 58/1/1 61/95/71 64/96/72 63/97/73
f 61/95/71 62/98/74 65/99/75 64/96/72
f 63/97/73 64/96/72 76/100/76 73/101/77
f 64/96/72 65/99/75 66/102/78 76/100/76
f 59/19/19 67/103/79 70/104/80 69/105/81
f 67/103/79 68/106/82 71/107/83 70/104/80
f 69/105/81 70/104/80 65/108/75 62/109/74
f 70/104/80 71/107/83 66/110/78 65/108/75
f 60/12/12 72/111/84 75/112/85 74/113/86
f 72/111/84 73/114/77 76/115/76 75/112/85
f 74/113/86 75/112/85 71/116/83 68/117/82
f 75/112/85 76/115/76 66/118/78 71/116/83
f 77/15/15 80/119/87 83/120/88 82/121/89
f 80/119/87 81/122/90 84/123/91 83/120/88
f 82/121/89 83/120/88 95/124/92 92/125/93
f 83/120/88 84/123/91 85/126/94 95/124/92
f 78/127/95 86/128/96 89/129/97 88/130/98
f 86/128/96 87/131/99 90/132/100 89/129/97
f 88/130/98 89/129/97 84/133/91 81/134/90
f 89/129/97 90/132/100 85/135/94 84/133/91
f 79/6/6 91/136/101 94/137/102 93/138/103
f 91/136/101 92/139/93 95/140/92 94/137/102
f 93/138/103 94/137/102 90/141/100 87/142/99
f 94/137/102 95/140/92 85/143/94 90/141/100
f 96/5/5 99/144/104 102/145/105 101/146/106
f 99/144/104 100/147/107 103/148/108 102/145/105
f 101/146/106 102/145/105 114/149/109 111/150/110
f 102/145/105 103/148/108 104/151/111 114/149/109
f 97/17/17 105/152/112 108/153/113 107/154/114
f 105/152/112 106/155/115 109/156/116 108/153/113
f 107/154/114 108/153/113 103/157/108 100/158/107
f 108/153/113 109/156/116 104/159/111 103/157/108
f 98/16/16 110/160/117 113/161/118 112/162/119
f 110/160/117 111/163/110 114/164/109 113/161/118
f 112/162/119 113/161/118 109/165/116 106/166/115
f 113/161/118 114/164/109 104/167/111 109/165/116
f 115/14/14 118/168/120 121/169/121 120/170/122
f 118/168/120 119/171/123 122/172/124 121/169/121
f 120/170/122 121/169/121 133/173/125 130/174/126
f 121/169/121 122/172/124 123/175/127 133/173/125
f 116/3/3 124/176/128 127/177/129 126/178/130
f 124/176/128 125/179/131 128/180/132 127/177/129
f 126/178/130 127/177/129 122/181/124 119/182/123
f 127/177/129 128/180/132 123/183/127 122/181/124
f 117/184/133 129/185/134 132/186/135 131/187/136
f 129/185/134 130/188/126 133/189/125 132/186/135
f 131/187/136 132/186/135 128/190/132 125/191/131
f 132/186/135 133/189/125 123/192/127 128/190/132
f 134/4/4 137/193/137 140/194/138 139/195/139
f 137/193/137 138/196/140 141/197/141 140/194/138
f 139/195/139 140/194/138 152/198/142 149/199/143
f 140/194/138 141/197/141 142/200/144 152/198/142
f 135/13/13 143/201/145 146/202/146 145/203/147
f 143/201/145 144/204/148 147/205/149 146/202/146
f 145/203/147 146/202/146 141/206/141 138/207/140
f 146/202/146 147/205/149 142/208/144 141/206/141
f 136/20/20 148/209/150 151/210/151 150/211/152
f 148/209/150 149/212/143 152/213/142 151/210/151
f 150/211/152 151/210/151 147/214/149 144/215/148
f 151/210/151 152/213/142 142/216/144 147/214/149
f 136/20/20 59/19/19 69/105/81 148/209/150
f 148/209/150 69/105/81 62/109/74 149/212/143
f 149/199/143 62/98/74 61/95/71 139/195/139
f 139/195/139 61/95/71 58/1/1 134/4/4
f 59/19/19 21/18/18 31/56/48 67/103/79
f 67/103/79 31/56/48 24/60/41 68/106/82
f 68/117/82 24/49/41 23/46/38 74/113/86
f 74/113/86 23/46/38 20/9/9 60/12/12
f 1/21/21 40/78/62 50/81/65 4/22/22
f 4/22/22 50/81/65 43/85/57 5/25/25
f 5/36/25 43/73/57 42/70/54 12/32/32
f 12/32/32 42/70/54 39/11/11 2/10/10
f 21/18/18 97/17/17 107/154/114 29/54/46
f 29/54/46 107/154/114 100/158/107 30/57/49
f 30/68/49 100/147/107 99/144/104 36/64/53
f 36/64/53 99/144/104 96/5/5 22/8/8
f 117/184/133 78/127/95 88/130/98 129/185/134
f 129/185/134 88/130/98 81/134/90 130/188/126
f 130/174/126 81/122/90 80/119/87 120/170/122
f 120/170/122 80/119/87 77/15/15 115/14/14
f 97/17/17 136/20/20 150/211/152 105/152/112
f 105/152/112 150/211/152 144/215/148 106/155/115
f 106/166/115 144/204/148 143/201/145 112/162/119
f 112/162/119 143/201/145 135/13/13 98/16/16
f 40/78/62 117/184/133 131/187/136 48/79/63
f 48/79/63 131/187/136 125/191/131 49/82/66
f 49/93/66 125/179/131 124/176/128 55/89/70
f 55/89/70 124/176/128 116/3/3 41/2/2
f 41/2/2 58/1/1 63/97/73 53/87/68
f 53/87/68 63/97/73 73/101/77 54/90/60
f 54/76/60 73/114/77 72/111/84 44/72/56
f 44/72/56 72/111/84 60/12/12 39/11/11
f 2/10/10 20/9/9 25/48/40 10/30/30
f 10/30/30 25/48/40 35/52/44 11/33/33
f 11/44/33 35/65/44 34/62/51 17/40/37
f 17/40/37 34/62/51 22/8/8 3/7/7
f 134/4/4 116/3/3 126/178/130 137/193/137
f 137/193/137 126/178/130 119/182/123 138/196/140
f 138/207/140 119/171/123 118/168/120 145/203/147
f 145/203/147 118/168/120 115/14/14 135/13/13
f 78/127/95 1/21/21 6/24/24 86/128/96
f 86/128/96 6/24/24 16/28/28 87/131/99
f 87/142/99 16/41/28 15/38/35 93/138/103
f 93/138/103 15/38/35 3/7/7 79/6/6
f 79/6/6 96/5/5 101/146/106 91/136/101
f 91/136/101 101/146/106 111/150/110 92/139/93
f 92/125/93 111/163/110 110/160/117 82/121/89
f 82/121/89 110/160/117 98/16/16 77/15/15
f 1/21/21 78/127/95 117/184/133 40/78/62

12
public/resources/bevel-cube/x.mtl Normal file
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# Blender MTL File: 'None'
# Material Count: 1
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455
public/resources/bevel-cube/x.obj Normal file
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# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
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12
public/resources/bevel-cube/xy.mtl Normal file
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# Blender MTL File: 'None'
# Material Count: 1
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299
public/resources/bevel-cube/xy.obj Normal file
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# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
mtllib xy.mtl
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12
public/resources/bevel-cube/xymx.mtl Normal file
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# Blender MTL File: 'None'
# Material Count: 1
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illum 2

131
public/resources/bevel-cube/xymx.obj Normal file
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# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
mtllib xymx.mtl
o Cube_Cube.001
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12
public/resources/bevel-cube/xymxmy.mtl Normal file
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# Blender MTL File: 'None'
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newmtl None
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illum 2

47
public/resources/bevel-cube/xymxmy.obj Normal file
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@@ -0,0 +1,47 @@
# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
mtllib xymxmy.mtl
o Cube_Cube.001
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usemtl None
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12
public/resources/bevel-cube/xyz.mtl Normal file
View File

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# Blender MTL File: 'None'
# Material Count: 1
newmtl None
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197
public/resources/bevel-cube/xyz.obj Normal file
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# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
mtllib xyz.mtl
o Cube_Cube.001
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12
public/resources/bevel-cube/xyzmx.mtl Normal file
View File

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# Blender MTL File: 'None'
# Material Count: 1
newmtl None
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88
public/resources/bevel-cube/xyzmx.obj Normal file
View File

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# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
mtllib xyzmx.mtl
o Cube_Cube.001
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10
public/resources/bevel_cube.mtl Normal file
View File

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# Blender MTL File: 'None'
# Material Count: 1
newmtl None
Ns 500
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Kd 0.8 0.8 0.8
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557
public/resources/bevel_cube.obj Normal file
View File

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# Blender v2.82 (sub 7) OBJ File: ''
# www.blender.org
mtllib bevel_cube.mtl
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vt 0.643352 0.508437
vt 0.643352 0.500000
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vt 0.856648 0.741563
vt 0.866563 0.731648
vt 0.865085 0.731648
vt 0.393352 0.251478
vt 0.393352 0.248522
vt 0.606648 0.248522
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vt 0.606648 0.748522
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vt 0.393352 0.501478
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vt 0.606648 0.498522
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vt 0.400241 0.025241
vt 0.400241 0.224759
vt 0.393352 0.224759
vt 0.393352 0.025241
vt 0.599759 0.025241
vt 0.400241 0.018352
vt 0.599759 0.018352
vt 0.849759 0.724759
vt 0.599759 0.224759
vt 0.606648 0.025241
vt 0.606648 0.224759
vt 0.599759 0.275241
vt 0.400241 0.275241
vt 0.400241 0.474759
vt 0.393352 0.474759
vt 0.393352 0.275241
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vt 0.599759 0.474759
vt 0.606648 0.275241
vt 0.606648 0.474759
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vt 0.849759 0.525241
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vt 0.400241 0.275241
vt 0.599759 0.275241
vt 0.599759 0.474759
vt 0.400241 0.474759
vt 0.400241 0.525241
vt 0.599759 0.525241
vt 0.599759 0.724759
vt 0.400241 0.724759
vn -1.0000 0.0000 0.0000
vn 0.0000 -1.0000 0.0000
vn 0.0000 0.7071 0.7071
vn 0.0000 0.0000 1.0000
vn 0.5774 -0.5774 0.5774
vn 0.7071 0.0000 0.7071
vn -0.7071 0.0000 0.7071
vn 0.0000 -0.7071 0.7071
vn -0.3793 -0.8439 0.3793
vn -0.3793 -0.3793 0.8439
vn -0.3793 0.3793 0.8439
vn 0.3793 -0.8439 0.3793
vn 0.8439 -0.3793 0.3793
vn 0.3793 -0.3793 0.8439
vn 0.3793 0.3793 0.8439
vn 0.3793 -0.8439 -0.3793
vn -0.3029 -0.6739 0.6739
vn -0.6739 -0.3029 0.6739
vn 0.3029 -0.6739 0.6739
vn 0.6739 -0.6739 0.3029
vn 0.6739 -0.3029 0.6739
vn -0.3827 -0.9239 0.0000
vn -0.3827 0.0000 0.9239
vn 0.0000 -0.9239 -0.3827
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vn 0.3827 0.0000 0.9239
vn 0.0000 -0.9239 0.3827
vn 0.0000 -0.3827 0.9239
vn 0.0000 0.3827 0.9239
vn 0.5396 0.8233 -0.1761
vn 0.5396 0.8233 0.1761
vn 0.8233 0.5396 0.1761
vn 0.8233 0.5396 -0.1761
vn 0.1533 -0.6988 -0.6988
vn -0.2338 -0.7625 -0.6033
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vn -0.1761 0.8233 -0.5396
vn 0.1761 0.8233 -0.5396
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vn -0.1761 0.5396 -0.8233
vn 0.7071 -0.7071 0.0000
vn 0.7008 -0.7008 -0.1330
vn 0.8233 -0.5396 -0.1761
vn 0.8315 -0.5556 0.0000
vn 0.5228 -0.6733 -0.5228
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vn 0.8233 0.1761 -0.5396
vn 0.8233 -0.1761 -0.5396
vn 0.5396 -0.1761 -0.8233
vn 0.5396 0.1761 -0.8233
vn -0.6331 -0.6331 0.4454
vn -0.5774 -0.5774 0.5774
vn -0.7130 -0.5549 0.4286
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vn -0.8137 0.5538 -0.1763
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vn -0.9010 -0.1934 0.3884
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vn 0.2588 0.9306 0.2588
vn 0.2353 0.8501 0.4711
vn 0.8501 0.2353 0.4711
vn 0.9306 0.2588 0.2588
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vn 0.0000 1.0000 0.0000
vn 0.0000 0.0000 -1.0000
vn 1.0000 0.0000 0.0000
usemtl None
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s off
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88
public/solver/SomaSolution.js Normal file
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@@ -0,0 +1,88 @@
export default class SomaSolution {
constructor(dim) {
if (dim < 0 || dim % 1 !== 0) {
throw new Error("Dimension must be a whole positive integer!");
}
this.dim = dim;
this.solutionSpaces = [];
}
static filterUnique(solutions) {
if (solutions.length === 0) {
return [];
}
const uniqueSolns = [solutions[0]];
for (const solution of solutions) {
let foundMatch = false;
for (const rotation of solution.getUniqueRotations()) {
let end = uniqueSolns.length;
for (let i = 0; i < end; i++) {
if (rotation.matches(uniqueSolns[i])) {
foundMatch = true;
}
}
}
if (!foundMatch) {
uniqueSolns.push(solution);
}
}
return uniqueSolns;
}
getUniqueRotations() {
if (this.solutionSpaces.length === 0) {
return [];
}
const result = [];
const allRots = this.solutionSpaces.map(space => space.getAllRotations());
for (let i = 0; i < allRots[0].length; i++) {
const solnRot = new SomaSolution(this.dim);
allRots.forEach(rotGroup => solnRot.addSpace(rotGroup[i]));
result.push(solnRot);
}
return result;
}
matches(solution) {
for (let i = 0; i < this.solutionSpaces.length; i++) {
if (!this.solutionSpaces[i].matches(solution.solutionSpaces[i])) {
return false;
}
}
return true;
}
addSpace(space) {
this.solutionSpaces.push(space);
}
print() {
let accum = "";
console.log("---");
for (let x = 0; x < this.dim; x++) {
for (let y = 0; y < this.dim; y++) {
for (let z = 0; z < this.dim; z++) {
for (const space of this.solutionSpaces) {
if (space.at(x, y, z)) {
accum += space.getId();
}
}
}
console.log(accum);
accum = "";
}
if (x !== this.dim - 1) {
console.log("-");
}
}
console.log("---");
}
at(x, y, z) {
for (const space of this.solutionSpaces) {
if (space.at(x, y, z)) {
return space.getId();
}
}
return 0;
}
clone() {
const clone = new SomaSolution(this.dim);
clone.solutionSpaces = this.solutionSpaces.slice();
return clone;
}
}

48
public/solver/SomaSolver.js Normal file
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@@ -0,0 +1,48 @@
import VoxelSpace from "./VoxelSpace.js";
import SomaSolution from "./SomaSolution.js";
export default class SomaSolver {
constructor(dimension) {
this.solutions = [];
this.iterations = 0;
if (dimension % 1 !== 0 || dimension < 0) {
throw new Error("The argument 'dimension' must be a positive whole number");
}
this.dim = dimension;
this.solutionCube = new VoxelSpace(0, [dimension, dimension, dimension], Array(dimension ** 3).fill(0));
}
async solve(polycubes) {
if (polycubes.length === 0) {
throw new Error("You must pass at least one polycube to solve the puzzle.");
}
let cumulativeSize = polycubes.reduce((prev, curr) => prev + curr.size(), 0);
if (cumulativeSize !== this.dim ** 3) {
throw new Error(`The polycubes passed do not add up to exactly enough units to form a cube of dimension ${this.dim}! Got: ${cumulativeSize}, need: ${this.dim ** 3}`);
}
this.solutions = [];
const combosWithRots = polycubes.slice(1).map(polycube => polycube.getUniqueRotations().map((rot) => rot.getAllPositionsInCube(this.dim)).flat());
const combos = [polycubes[0].getAllPositionsInCube(this.dim), ...combosWithRots];
this.backtrackSolve(this.solutionCube, combos, new SomaSolution(this.dim));
this.solutions = SomaSolution.filterUnique(this.solutions);
}
getSolutions() {
return this.solutions.slice();
}
backtrackSolve(workingSolution, polycubes, currentSoln) {
const nextCubeGroup = polycubes[0];
for (let i = 0; i < nextCubeGroup.length; i++) {
const fusionAttempt = workingSolution.plus(nextCubeGroup[i]);
if (fusionAttempt) {
const nextSoln = currentSoln.clone();
nextSoln.addSpace(nextCubeGroup[i]);
if (polycubes.length === 1) {
this.solutions.push(nextSoln);
currentSoln = new SomaSolution(this.dim);
return;
}
else {
this.backtrackSolve(fusionAttempt, polycubes.slice(1), nextSoln);
}
}
}
}
}

275
public/solver/VoxelSpace.js Normal file
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@@ -0,0 +1,275 @@
export default class VoxelSpace {
constructor(id, dims, space, cullEmpty) {
if (!space) {
space = 0n;
}
else if (Array.isArray(space)) {
if (space.length !== dims[0] * dims[1] * dims[2]) {
throw new Error("Vals don't fit in given dimensions.");
}
space = VoxelSpace.boolArrayToBigInt(space);
}
this.id = id;
this.length = dims[0] * dims[1] * dims[2];
this.dims = dims;
this.space = space;
if (cullEmpty) {
this.cullEmptySpace();
}
}
static boolArrayToBigInt(boolArray) {
let result = 0n;
for (let i = 0; i < boolArray.length; i++) {
if (boolArray[i]) {
result |= BigInt(1 << i);
}
}
return result;
}
binaryRep() {
return this.space.toString(2);
}
getExtrema() {
const extrema = {
xMax: -Infinity,
xMin: Infinity,
yMax: -Infinity,
yMin: Infinity,
zMax: -Infinity,
zMin: Infinity,
};
this.forEachCell((val, x, y, z) => {
if (val) {
extrema.xMax = Math.max(extrema.xMax, x);
extrema.xMin = Math.min(extrema.xMin, x);
extrema.yMax = Math.max(extrema.yMax, y);
extrema.yMin = Math.min(extrema.yMin, y);
extrema.zMax = Math.max(extrema.zMax, z);
extrema.zMin = Math.min(extrema.zMin, z);
}
});
return extrema;
}
cullEmptySpace() {
const extrema = this.getExtrema();
let index = 0n;
let newSpace = 0n;
for (let x = extrema.xMin; x <= extrema.xMax; x++) {
for (let y = extrema.yMin; y <= extrema.yMax; y++) {
for (let z = extrema.zMin; z <= extrema.zMax; z++) {
if (this.at(x, y, z)) {
newSpace |= 1n << index;
}
index++;
}
}
}
this.dims[0] = extrema.xMax - extrema.xMin + 1;
this.dims[1] = extrema.yMax - extrema.yMin + 1;
this.dims[2] = extrema.zMax - extrema.zMin + 1;
this.space = newSpace;
}
forEachCell(cb) {
loopStart: for (let x = 0; x < this.dims[0]; x++) {
for (let y = 0; y < this.dims[1]; y++) {
for (let z = 0; z < this.dims[2]; z++) {
if (cb(this.at(x, y, z), x, y, z) === 0) {
break loopStart;
}
}
}
}
}
getId() {
return this.id;
}
print() {
let accum = "";
console.log("---");
for (let i = 0; i < this.dims[0]; i++) {
for (let j = 0; j < this.dims[1]; j++) {
for (let k = 0; k < this.dims[2]; k++) {
accum += this.at(i, j, k) ? '#' : 'O';
}
console.log(accum);
accum = "";
}
if (i !== this.dims[0] - 1) {
console.log("-");
}
}
console.log("---");
}
getUniqueRotations() {
const rotations = [];
const refSpace = this.clone();
VoxelSpace.pushNewUniqueSpaces(rotations, refSpace.getAxisSpins('x'));
refSpace.rot90('y');
VoxelSpace.pushNewUniqueSpaces(rotations, refSpace.getAxisSpins('x'));
refSpace.rot90('y');
VoxelSpace.pushNewUniqueSpaces(rotations, refSpace.getAxisSpins('x'));
refSpace.rot90('y');
VoxelSpace.pushNewUniqueSpaces(rotations, refSpace.getAxisSpins('x'));
refSpace.rot90('z');
VoxelSpace.pushNewUniqueSpaces(rotations, refSpace.getAxisSpins('x'));
refSpace.rot90('z');
refSpace.rot90('z');
VoxelSpace.pushNewUniqueSpaces(rotations, refSpace.getAxisSpins('x'));
return rotations;
}
getAllRotations() {
const rotations = [];
const refSpace = this.clone();
rotations.push(...refSpace.getAxisSpins('x'));
refSpace.rot90('y');
rotations.push(...refSpace.getAxisSpins('x'));
refSpace.rot90('y');
rotations.push(...refSpace.getAxisSpins('x'));
refSpace.rot90('y');
rotations.push(...refSpace.getAxisSpins('x'));
refSpace.rot90('z');
rotations.push(...refSpace.getAxisSpins('x'));
refSpace.rot90('z');
refSpace.rot90('z');
rotations.push(...refSpace.getAxisSpins('x'));
return rotations;
}
static pushNewUniqueSpaces(existingSpaces, newSpaces) {
for (const newSpace of newSpaces) {
let matchFound = false;
for (const existingSpace of existingSpaces) {
if (newSpace.matches(existingSpace)) {
matchFound = true;
break;
}
}
if (!matchFound) {
existingSpaces.push(newSpace);
}
}
}
getAllPositionsInCube(cubeDim) {
if ((cubeDim > 0) && (cubeDim % 1 === 0)) {
const cubePositions = [];
for (let x = 0; x < cubeDim - this.dims[0] + 1; x++) {
for (let y = 0; y < cubeDim - this.dims[1] + 1; y++) {
for (let z = 0; z < cubeDim - this.dims[2] + 1; z++) {
const cubePos = new VoxelSpace(this.id, [cubeDim, cubeDim, cubeDim]);
this.forEachCell((val, rotX, rotY, rotZ) => {
cubePos.set(x + rotX, y + rotY, z + rotZ, val);
});
cubePositions.push(cubePos);
}
}
}
return cubePositions;
}
else {
throw new Error("cubeDim must be a positive integer.");
}
}
matches(space) {
const otherDims = space.getDims();
for (let i = 0; i < this.dims.length; i++) {
if (otherDims[i] !== this.dims[i]) {
return false;
}
}
return this.space === space.getRaw();
}
clone() {
return new VoxelSpace(this.id, this.getDims(), this.getRaw());
}
getAxisSpins(axis) {
const rotations = [this.clone()];
for (let i = 0; i < 3; i++) {
rotations.push(rotations[i].rotated90(axis));
}
return rotations;
}
getDims() {
return this.dims.slice();
}
getRaw() {
return this.space;
}
// [1, 0, 0] [x] [ x]
// [0, 0, -1] * [y] = [-z]
// [0, 1, 0] [z] [ y]
newIndexRotX(x, y, z) {
return this.dims[2] * this.dims[1] * x + this.dims[1] * (this.dims[2] - 1 - z) + y;
}
// [ 0, 0, 1] [x] [ z]
// [ 0, 1, 0] * [y] = [ y]
// [-1, 0, 0] [z] [-x]
newIndexRotY(x, y, z) {
return this.dims[1] * this.dims[0] * z + this.dims[0] * y + (this.dims[0] - 1 - x);
}
// [0, -1, 0] [x] [-y]
// [1, 0, 0] * [y] = [ x]
// [0, 0, 1] [z] [ z]
newIndexRotZ(x, y, z) {
return this.dims[0] * this.dims[2] * (this.dims[1] - 1 - y) + this.dims[2] * x + z;
}
at(x, y, z) {
const mask = 1n << BigInt(this.dims[1] * this.dims[2] * x + this.dims[2] * y + z);
return (this.space & mask) !== 0n;
}
toggle(x, y, z) {
const mask = BigInt(1 << this.dims[1] * this.dims[2] * x + this.dims[2] * y + z);
this.space ^= mask;
}
set(x, y, z, val) {
const mask = BigInt(1 << this.dims[1] * this.dims[2] * x + this.dims[2] * y + z);
if (val) {
this.space |= mask;
}
else {
this.space &= ~mask;
}
}
rotated90(dim) {
let newSpace = 0n;
let newDims;
let rotIndex;
if (dim === 'x') {
newDims = [this.dims[0], this.dims[2], this.dims[1]];
rotIndex = this.newIndexRotX.bind(this);
}
else if (dim === 'y') {
newDims = [this.dims[2], this.dims[1], this.dims[0]];
rotIndex = this.newIndexRotY.bind(this);
}
else {
newDims = [this.dims[1], this.dims[0], this.dims[2]];
rotIndex = this.newIndexRotZ.bind(this);
}
this.forEachCell((val, i, j, k) => {
if (val) {
newSpace |= BigInt(1 << rotIndex(i, j, k));
}
});
return new VoxelSpace(this.id, newDims, newSpace);
}
rot90(dim) {
const rot = this.rotated90(dim);
this.space = rot.getRaw();
this.dims = rot.getDims();
}
plus(space) {
const otherSpace = space.getRaw();
if ((this.space | otherSpace) === (this.space ^ otherSpace)) {
return new VoxelSpace(this.id, this.dims, otherSpace | this.space);
}
return null;
}
size() {
let size = 0;
this.forEachCell((val) => {
if (val) {
size++;
}
});
return size;
}
}

8
public/solver/main.js Normal file
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import SomaSolver from "./SomaSolver.js";
import VoxelSpace from "./VoxelSpace.js";
self.addEventListener('message', (event) => {
const { polycubes, dims } = event.data;
const solver = new SomaSolver(event.data.dims);
solver.solve(polycubes.map((cubeRep, i) => new VoxelSpace(i, [dims, dims, dims], cubeRep, true)));
self.postMessage(solver.getSolutions());
});