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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222
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//-----------------------------------------------------------------------------
// Super cursor traversal table to retrieve the child index for each cursor
// of the parent node. There are (3*f)^d entries in the table.
// d = 1 f = 2
static const unsigned int MooreChildCursorToChildTable12[6] = {
1, 0, 1,
0, 1, 0,
};
// d = 1 f = 3
static const unsigned int MooreChildCursorToChildTable13[9] = {
2, 0, 1,
0, 1, 2,
1, 2, 0,
};
// d = 2 f = 2
static const unsigned int MooreChildCursorToChildTable22[36] = {
3, 2, 3, 1, 0, 1, 3, 2, 3,
2, 3, 2, 0, 1, 0, 2, 3, 2,
1, 0, 1, 3, 2, 3, 1, 0, 1,
0, 1, 0, 2, 3, 2, 0, 1, 0,
};
// d = 2 f = 3
static const unsigned int MooreChildCursorToChildTable23[81] = {
8, 6, 7, 2, 0, 1, 5, 3, 4,
6, 7, 8, 0, 1, 2, 3, 4, 5,
7, 8, 6, 1, 2, 0, 4, 5, 3,
2, 0, 1, 5, 3, 4, 8, 6, 7,
0, 1, 2, 3, 4, 5, 6, 7, 8,
1, 2, 0, 4, 5, 3, 7, 8, 6,
5, 3, 4, 8, 6, 7, 2, 0, 1,
3, 4, 5, 6, 7, 8, 0, 1, 2,
4, 5, 3, 7, 8, 6, 1, 2, 0,
};
// d = 3 f = 2
static const unsigned int MooreChildCursorToChildTable32[216] = {
7, 6, 7, 5, 4, 5, 7, 6, 7, 3, 2, 3, 1, 0, 1, 3, 2, 3, 7, 6, 7, 5, 4, 5, 7, 6, 7,
6, 7, 6, 4, 5, 4, 6, 7, 6, 2, 3, 2, 0, 1, 0, 2, 3, 2, 6, 7, 6, 4, 5, 4, 6, 7, 6,
5, 4, 5, 7, 6, 7, 5, 4, 5, 1, 0, 1, 3, 2, 3, 1, 0, 1, 5, 4, 5, 7, 6, 7, 5, 4, 5,
4, 5, 4, 6, 7, 6, 4, 5, 4, 0, 1, 0, 2, 3, 2, 0, 1, 0, 4, 5, 4, 6, 7, 6, 4, 5, 4,
3, 2, 3, 1, 0, 1, 3, 2, 3, 7, 6, 7, 5, 4, 5, 7, 6, 7, 3, 2, 3, 1, 0, 1, 3, 2, 3,
2, 3, 2, 0, 1, 0, 2, 3, 2, 6, 7, 6, 4, 5, 4, 6, 7, 6, 2, 3, 2, 0, 1, 0, 2, 3, 2,
1, 0, 1, 3, 2, 3, 1, 0, 1, 5, 4, 5, 7, 6, 7, 5, 4, 5, 1, 0, 1, 3, 2, 3, 1, 0, 1,
0, 1, 0, 2, 3, 2, 0, 1, 0, 4, 5, 4, 6, 7, 6, 4, 5, 4, 0, 1, 0, 2, 3, 2, 0, 1, 0,
};
// d = 3 f = 3
static const unsigned int MooreChildCursorToChildTable33[729] = {
26, 24, 25, 20, 18, 19, 23, 21, 22, 8, 6, 7, 2, 0, 1, 5, 3, 4, 17, 15, 16, 11, 9, 10, 14, 12, 13,
24, 25, 26, 18, 19, 20, 21, 22, 23, 6, 7, 8, 0, 1, 2, 3, 4, 5, 15, 16, 17, 9, 10, 11, 12, 13, 14,
25, 26, 24, 19, 20, 18, 22, 23, 21, 7, 8, 6, 1, 2, 0, 4, 5, 3, 16, 17, 15, 10, 11, 9, 13, 14, 12,
20, 18, 19, 23, 21, 22, 26, 24, 25, 2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 14, 12, 13, 17, 15, 16,
18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
19, 20, 18, 22, 23, 21, 25, 26, 24, 1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 13, 14, 12, 16, 17, 15,
23, 21, 22, 26, 24, 25, 20, 18, 19, 5, 3, 4, 8, 6, 7, 2, 0, 1, 14, 12, 13, 17, 15, 16, 11, 9, 10,
21, 22, 23, 24, 25, 26, 18, 19, 20, 3, 4, 5, 6, 7, 8, 0, 1, 2, 12, 13, 14, 15, 16, 17, 9, 10, 11,
22, 23, 21, 25, 26, 24, 19, 20, 18, 4, 5, 3, 7, 8, 6, 1, 2, 0, 13, 14, 12, 16, 17, 15, 10, 11, 9,
8, 6, 7, 2, 0, 1, 5, 3, 4, 17, 15, 16, 11, 9, 10, 14, 12, 13, 26, 24, 25, 20, 18, 19, 23, 21, 22,
6, 7, 8, 0, 1, 2, 3, 4, 5, 15, 16, 17, 9, 10, 11, 12, 13, 14, 24, 25, 26, 18, 19, 20, 21, 22, 23,
7, 8, 6, 1, 2, 0, 4, 5, 3, 16, 17, 15, 10, 11, 9, 13, 14, 12, 25, 26, 24, 19, 20, 18, 22, 23, 21,
2, 0, 1, 5, 3, 4, 8, 6, 7, 11, 9, 10, 14, 12, 13, 17, 15, 16, 20, 18, 19, 23, 21, 22, 26, 24, 25,
0, 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,
1, 2, 0, 4, 5, 3, 7, 8, 6, 10, 11, 9, 13, 14, 12, 16, 17, 15, 19, 20, 18, 22, 23, 21, 25, 26, 24,
5, 3, 4, 8, 6, 7, 2, 0, 1, 14, 12, 13, 17, 15, 16, 11, 9, 10, 23, 21, 22, 26, 24, 25, 20, 18, 19,
3, 4, 5, 6, 7, 8, 0, 1, 2, 12, 13, 14, 15, 16, 17, 9, 10, 11, 21, 22, 23, 24, 25, 26, 18, 19, 20,
4, 5, 3, 7, 8, 6, 1, 2, 0, 13, 14, 12, 16, 17, 15, 10, 11, 9, 22, 23, 21, 25, 26, 24, 19, 20, 18,
17, 15, 16, 11, 9, 10, 14, 12, 13, 26, 24, 25, 20, 18, 19, 23, 21, 22, 8, 6, 7, 2, 0, 1, 5, 3, 4,
15, 16, 17, 9, 10, 11, 12, 13, 14, 24, 25, 26, 18, 19, 20, 21, 22, 23, 6, 7, 8, 0, 1, 2, 3, 4, 5,
16, 17, 15, 10, 11, 9, 13, 14, 12, 25, 26, 24, 19, 20, 18, 22, 23, 21, 7, 8, 6, 1, 2, 0, 4, 5, 3,
11, 9, 10, 14, 12, 13, 17, 15, 16, 20, 18, 19, 23, 21, 22, 26, 24, 25, 2, 0, 1, 5, 3, 4, 8, 6, 7,
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8,
10, 11, 9, 13, 14, 12, 16, 17, 15, 19, 20, 18, 22, 23, 21, 25, 26, 24, 1, 2, 0, 4, 5, 3, 7, 8, 6,
14, 12, 13, 17, 15, 16, 11, 9, 10, 23, 21, 22, 26, 24, 25, 20, 18, 19, 5, 3, 4, 8, 6, 7, 2, 0, 1,
12, 13, 14, 15, 16, 17, 9, 10, 11, 21, 22, 23, 24, 25, 26, 18, 19, 20, 3, 4, 5, 6, 7, 8, 0, 1, 2,
13, 14, 12, 16, 17, 15, 10, 11, 9, 22, 23, 21, 25, 26, 24, 19, 20, 18, 4, 5, 3, 7, 8, 6, 1, 2, 0,
};
static const unsigned int* MooreChildCursorToChildTable[3][2] = {
{MooreChildCursorToChildTable12,
MooreChildCursorToChildTable13},
{MooreChildCursorToChildTable22,
MooreChildCursorToChildTable23},
{MooreChildCursorToChildTable32,
MooreChildCursorToChildTable33}
};
//-----------------------------------------------------------------------------
// Super cursor traversal table to go retrieve the child index for each cursor
// of the child node. There are (3*f)^d entries in the table.
//-----------------------------------------------------------------------------
// d = 1 f = 2
static const unsigned int MooreChildCursorToParentCursorTable12[6] = {
0, 1, 1,
1, 1, 2,
};
// d = 1 f = 3
static const unsigned int MooreChildCursorToParentCursorTable13[9] = {
0, 1, 1,
1, 1, 1,
1, 1, 2,
};
// d = 2 f = 2
static const unsigned int MooreChildCursorToParentCursorTable22[36] = {
0, 1, 1, 3, 4, 4, 3, 4, 4,
1, 1, 2, 4, 4, 5, 4, 4, 5,
3, 4, 4, 3, 4, 4, 6, 7, 7,
4, 4, 5, 4, 4, 5, 7, 7, 8,
};
// d = 2 f = 3
static const unsigned int MooreChildCursorToParentCursorTable23[81] = {
0, 1, 1, 3, 4, 4, 3, 4, 4,
1, 1, 1, 4, 4, 4, 4, 4, 4,
1, 1, 2, 4, 4, 5, 4, 4, 5,
3, 4, 4, 3, 4, 4, 3, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 5, 4, 4, 5, 4, 4, 5,
3, 4, 4, 3, 4, 4, 6, 7, 7,
4, 4, 4, 4, 4, 4, 7, 7, 7,
4, 4, 5, 4, 4, 5, 7, 7, 8,
};
// d = 3 f = 2
static const unsigned int MooreChildCursorToParentCursorTable32[216] = {
0, 1, 1, 3, 4, 4, 3, 4, 4, 9, 10, 10, 12, 13, 13, 12, 13, 13, 9, 10, 10, 12, 13, 13, 12, 13, 13,
1, 1, 2, 4, 4, 5, 4, 4, 5, 10, 10, 11, 13, 13, 14, 13, 13, 14, 10, 10, 11, 13, 13, 14, 13, 13, 14,
3, 4, 4, 3, 4, 4, 6, 7, 7, 12, 13, 13, 12, 13, 13, 15, 16, 16, 12, 13, 13, 12, 13, 13, 15, 16, 16,
4, 4, 5, 4, 4, 5, 7, 7, 8, 13, 13, 14, 13, 13, 14, 16, 16, 17, 13, 13, 14, 13, 13, 14, 16, 16, 17,
9, 10, 10, 12, 13, 13, 12, 13, 13, 9, 10, 10, 12, 13, 13, 12, 13, 13, 18, 19, 19, 21, 22, 22, 21, 22, 22,
10, 10, 11, 13, 13, 14, 13, 13, 14, 10, 10, 11, 13, 13, 14, 13, 13, 14, 19, 19, 20, 22, 22, 23, 22, 22, 23,
12, 13, 13, 12, 13, 13, 15, 16, 16, 12, 13, 13, 12, 13, 13, 15, 16, 16, 21, 22, 22, 21, 22, 22, 24, 25, 25,
13, 13, 14, 13, 13, 14, 16, 16, 17, 13, 13, 14, 13, 13, 14, 16, 16, 17, 22, 22, 23, 22, 22, 23, 25, 25, 26,
};
// d = 3 f = 3
static const unsigned int MooreChildCursorToParentCursorTable33[729] = {
0, 1, 1, 3, 4, 4, 3, 4, 4, 9, 10, 10, 12, 13, 13, 12, 13, 13, 9, 10, 10, 12, 13, 13, 12, 13, 13,
1, 1, 1, 4, 4, 4, 4, 4, 4, 10, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 10, 13, 13, 13, 13, 13, 13,
1, 1, 2, 4, 4, 5, 4, 4, 5, 10, 10, 11, 13, 13, 14, 13, 13, 14, 10, 10, 11, 13, 13, 14, 13, 13, 14,
3, 4, 4, 3, 4, 4, 3, 4, 4, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13,
4, 4, 4, 4, 4, 4, 4, 4, 4, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13,
4, 4, 5, 4, 4, 5, 4, 4, 5, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14,
3, 4, 4, 3, 4, 4, 6, 7, 7, 12, 13, 13, 12, 13, 13, 15, 16, 16, 12, 13, 13, 12, 13, 13, 15, 16, 16,
4, 4, 4, 4, 4, 4, 7, 7, 7, 13, 13, 13, 13, 13, 13, 16, 16, 16, 13, 13, 13, 13, 13, 13, 16, 16, 16,
4, 4, 5, 4, 4, 5, 7, 7, 8, 13, 13, 14, 13, 13, 14, 16, 16, 17, 13, 13, 14, 13, 13, 14, 16, 16, 17,
9, 10, 10, 12, 13, 13, 12, 13, 13, 9, 10, 10, 12, 13, 13, 12, 13, 13, 9, 10, 10, 12, 13, 13, 12, 13, 13,
10, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 10, 13, 13, 13, 13, 13, 13,
10, 10, 11, 13, 13, 14, 13, 13, 14, 10, 10, 11, 13, 13, 14, 13, 13, 14, 10, 10, 11, 13, 13, 14, 13, 13, 14,
12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13,
13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13,
13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14,
12, 13, 13, 12, 13, 13, 15, 16, 16, 12, 13, 13, 12, 13, 13, 15, 16, 16, 12, 13, 13, 12, 13, 13, 15, 16, 16,
13, 13, 13, 13, 13, 13, 16, 16, 16, 13, 13, 13, 13, 13, 13, 16, 16, 16, 13, 13, 13, 13, 13, 13, 16, 16, 16,
13, 13, 14, 13, 13, 14, 16, 16, 17, 13, 13, 14, 13, 13, 14, 16, 16, 17, 13, 13, 14, 13, 13, 14, 16, 16, 17,
9, 10, 10, 12, 13, 13, 12, 13, 13, 9, 10, 10, 12, 13, 13, 12, 13, 13, 18, 19, 19, 21, 22, 22, 21, 22, 22,
10, 10, 10, 13, 13, 13, 13, 13, 13, 10, 10, 10, 13, 13, 13, 13, 13, 13, 19, 19, 19, 22, 22, 22, 22, 22, 22,
10, 10, 11, 13, 13, 14, 13, 13, 14, 10, 10, 11, 13, 13, 14, 13, 13, 14, 19, 19, 20, 22, 22, 23, 22, 22, 23,
12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 12, 13, 13, 21, 22, 22, 21, 22, 22, 21, 22, 22,
13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 22, 22, 22, 22, 22, 22, 22, 22, 22,
13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 13, 13, 14, 22, 22, 23, 22, 22, 23, 22, 22, 23,
12, 13, 13, 12, 13, 13, 15, 16, 16, 12, 13, 13, 12, 13, 13, 15, 16, 16, 21, 22, 22, 21, 22, 22, 24, 25, 25,
13, 13, 13, 13, 13, 13, 16, 16, 16, 13, 13, 13, 13, 13, 13, 16, 16, 16, 22, 22, 22, 22, 22, 22, 25, 25, 25,
13, 13, 14, 13, 13, 14, 16, 16, 17, 13, 13, 14, 13, 13, 14, 16, 16, 17, 22, 22, 23, 22, 22, 23, 25, 25, 26,
};
static const unsigned int* MooreChildCursorToParentCursorTable[3][2] = {
{MooreChildCursorToParentCursorTable12,
MooreChildCursorToParentCursorTable13},
{MooreChildCursorToParentCursorTable22,
MooreChildCursorToParentCursorTable23},
{MooreChildCursorToParentCursorTable32,
MooreChildCursorToParentCursorTable33}
};
//-----------------------------------------------------------------------------
// Corner/leaf traversal tables to retrieve the parent cursor indices of all
// leaves touching a given corner of the parent node.
//-----------------------------------------------------------------------------
static const int CornerNeighborCursorsTable1D0[2] = {
0, 1, };
static const int CornerNeighborCursorsTable1D1[2] = {
1, 2, };
static const int* CornerNeighborCursorsTable1D[2] = {
CornerNeighborCursorsTable1D0,
CornerNeighborCursorsTable1D1,
};
static const int CornerNeighborCursorsTable2D0[4] = {
0, 1, 3, 4, };
static const int CornerNeighborCursorsTable2D1[4] = {
1, 2, 4, 5, };
static const int CornerNeighborCursorsTable2D2[4] = {
3, 4, 6, 7, };
static const int CornerNeighborCursorsTable2D3[4] = {
4, 5, 7, 8, };
static const int* CornerNeighborCursorsTable2D[4] = {
CornerNeighborCursorsTable2D0,
CornerNeighborCursorsTable2D1,
CornerNeighborCursorsTable2D2,
CornerNeighborCursorsTable2D3,
};
static const unsigned int CornerNeighborCursorsTable3D0[8] = {
0, 1, 3, 4, 9, 10, 12, 13, };
static const unsigned int CornerNeighborCursorsTable3D1[8] = {
1, 2, 4, 5, 10, 11, 13, 14, };
static const unsigned int CornerNeighborCursorsTable3D2[8] = {
3, 4, 6, 7, 12, 13, 15, 16, };
static const unsigned int CornerNeighborCursorsTable3D3[8] = {
4, 5, 7, 8, 13, 14, 16, 17, };
static const unsigned int CornerNeighborCursorsTable3D4[8] = {
9, 10, 12, 13, 18, 19, 21, 22, };
static const unsigned int CornerNeighborCursorsTable3D5[8] = {
10, 11, 13, 14, 19, 20, 22, 23, };
static const unsigned int CornerNeighborCursorsTable3D6[8] = {
12, 13, 15, 16, 21, 22, 24, 25, };
static const unsigned int CornerNeighborCursorsTable3D7[8] = {
13, 14, 16, 17, 22, 23, 25, 26, };
static const unsigned int* CornerNeighborCursorsTable3D[8] = {
CornerNeighborCursorsTable3D0,
CornerNeighborCursorsTable3D1,
CornerNeighborCursorsTable3D2,
CornerNeighborCursorsTable3D3,
CornerNeighborCursorsTable3D4,
CornerNeighborCursorsTable3D5,
CornerNeighborCursorsTable3D6,
CornerNeighborCursorsTable3D7,
};
//-----------------------------------------------------------------------------
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