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feat: constants for GroupUnion

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  1. 168
      src/core/group/internal/constant/group_union.h
  2. 143
      src/core/group/internal/group_union.cc
  3. 61
      src/core/group/internal/group_union.inl
  4. 8
      src/core/main.cc
  5. 15
      src/core/ranges/ranges.h

168
src/core/group/internal/constant/group_union.h
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@ -0,0 +1,168 @@
#pragma once
#include <array>
namespace klotski::cases {
/// The number of groups contained in GroupUnion.
constexpr auto GROUP_NUM = std::to_array<uint16_t>({
1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 ,
1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 13 , 1 , 1 , 1 , 1 ,
1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 5 , 1 , 1 , 1 , 1 , 1 , 1 , 1 ,
1 , 1 , 3 , 79 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 21 , 141, 1 ,
1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 17 , 1 , 1 , 1 , 1 , 1 , 1 ,
1 , 17 , 273 , 1 , 1 , 1 , 1 , 1 , 1 , 9 , 145 , 841 , 1 , 1 , 1 , 1 ,
1 , 1 , 15 , 97 , 517 , 1 , 1 , 1 , 1 , 1 , 1 , 1 , 5 , 91 , 1 , 1 ,
1 , 1 , 1 , 59 , 587 , 1 , 1 , 1 , 1 , 21 , 353 , 1741, 1 , 1 , 1 , 7 ,
81 , 479, 2327, 1 , 1 , 1 , 5 , 33 , 165, 1053, 1 , 1 , 1 , 1 , 1 , 9 ,
157, 1 , 1 , 1 , 57 , 505, 1 , 1 , 13 , 325 , 1729, 3 , 9 , 99 , 631, 2609,
1 , 17 , 91 , 487, 2653, 1 , 1 , 11 , 75 , 898 , 2 , 2 , 2 , 2 , 80 , 1 ,
2 , 138, 14 , 126, 590 , 22 , 183, 1074, 33 , 209 , 1178, 13 , 171, 1185, 6 , 16 ,
214, 6 , 18 , 54 , 2 , 44 , 40 , 124 , 84 , 70 , 18 ,
});
/// The maximum Group size in each GroupUnion.
constexpr auto MAX_GROUP_SIZE = std::to_array<uint32_t>({
12 , 192 , 1440 , 6720 , 21840 , 52416 , 96096 , 137280, 154440, 137280, 96096 , 52416 ,
21840 , 6720 , 1440 , 124 , 1736 , 11284 , 45136 , 124124, 248248, 372372, 425568, 372372,
248248, 124124, 45136 , 10836 , 132 , 1848 , 12012 , 48048 , 132132, 264264, 396396, 453024,
396396, 264264, 132132, 48048 , 11916 , 512 , 6144 , 33792 , 112640, 253440, 405504, 473088,
405504, 253440, 112576, 30104 , 1044 , 12528 , 68904 , 229680, 516780, 826848, 964656, 826848,
516780, 228848, 65848 , 582 , 6984 , 38412 , 128040, 288090, 460944, 537768, 460944, 288090,
128040, 37740 , 1092 , 10920 , 49140 , 131040, 229320, 275184, 229320, 130032, 38672 , 3180 ,
31800 , 143100, 381600, 667800, 801360, 667544, 377408, 127676, 3382 , 33820 , 152190, 405840,
710220, 852264, 709388, 403056, 143462, 1320 , 13200 , 59400 , 158400, 277200, 332640, 277200,
158272, 57524 , 1320 , 10560 , 36960 , 73920 , 92400 , 71944 , 23704 , 4680 , 37440 , 131040,
262080, 327120, 253968, 105064, 7248 , 57984 , 202944, 405440, 504616, 396284, 175580, 5344 ,
42752 , 149632, 299136, 373184, 296520, 136040, 1632 , 13056 , 45696 , 91392 , 114240, 91264 ,
43704 , 948 , 5688 , 14220 , 17696 , 7888 , 3444 , 20664 , 51044 , 61204 , 28832 , 7048 ,
42288 , 104540, 132556, 81462 , 7284 , 42728 , 104960, 135192, 81340 , 4392 , 26352 , 65688 ,
86968 , 25955 , 522 , 3132 , 7830 , 10440 , 7462 , 396 , 792 , 508 , 240 , 768 ,
742 , 1804 , 2348 , 1398 , 1504 , 5372 , 1192 , 2984 , 4376 , 453 , 350 , 1380 ,
1532 , 45 , 66 , 38 , 44 , 5 , 82 , 21 , 23 , 24 , 21 ,
});
/// The number of cases contained in GroupUnion.
constexpr auto GROUP_UNION_SIZE = std::to_array<uint32_t>({
12 , 192 , 1440 , 6720 , 21840 , 52416 , 96096 , 137280, 154440, 137280, 96096 , 52416 ,
21840 , 6720 , 1440 , 124 , 1736 , 11284 , 45136 , 124124, 248248, 372372, 425568, 372372,
248248, 124124, 45136 , 11284 , 132 , 1848 , 12012 , 48048 , 132132, 264264, 396396, 453024,
396396, 264264, 132132, 48048 , 12012 , 512 , 6144 , 33792 , 112640, 253440, 405504, 473088,
405504, 253440, 112640, 33792 , 1044 , 12528 , 68904 , 229680, 516780, 826848, 964656, 826848,
516780, 229680, 68904 , 582 , 6984 , 38412 , 128040, 288090, 460944, 537768, 460944, 288090,
128040, 38412 , 1092 , 10920 , 49140 , 131040, 229320, 275184, 229320, 131040, 49140 , 3180 ,
31800 , 143100, 381600, 667800, 801360, 667800, 381600, 143100, 3382 , 33820 , 152190, 405840,
710220, 852264, 710220, 405840, 152190, 1320 , 13200 , 59400 , 158400, 277200, 332640, 277200,
158400, 59400 , 1320 , 10560 , 36960 , 73920 , 92400 , 73920 , 36960 , 4680 , 37440 , 131040,
262080, 327600, 262080, 131040, 7248 , 57984 , 202944, 405888, 507360, 405888, 202944, 5344 ,
42752 , 149632, 299264, 374080, 299264, 149632, 1632 , 13056 , 45696 , 91392 , 114240, 91392 ,
45696 , 948 , 5688 , 14220 , 18960 , 14220 , 3444 , 20664 , 51660 , 68880 , 51660 , 7120 ,
42720 , 106800, 142400, 106800, 7284 , 43704 , 109260, 145680, 109260, 4392 , 26352 , 65880 ,
87840 , 65880 , 1044 , 6264 , 15660 , 20880 , 15660 , 396 , 1584 , 2376 , 1260 , 5040 ,
7560 , 3084 , 12336 , 18504 , 4288 , 17152 , 25728 , 3196 , 12784 , 19176 , 1836 , 7344 ,
11016 , 270 , 1080 , 1620 , 88 , 180 , 626 , 772 , 1036 , 464 , 342 ,
});
/// The number of (1x2 + 2x1) / 2x1 / 1x1 blocks corresponding to different type_id.
constexpr auto BLOCK_NUM = std::to_array<std::tuple<uint8_t, uint8_t, uint8_t>>({
{0, 0, 0 }, {0, 0, 1 }, {0, 0, 2 }, {0, 0, 3 }, {0, 0, 4 }, {0, 0, 5 }, {0, 0, 6 }, {0, 0, 7 },
{0, 0, 8 }, {0, 0, 9 }, {0, 0, 10}, {0, 0, 11}, {0, 0, 12}, {0, 0, 13}, {0, 0, 14}, {1, 0, 0 },
{1, 0, 1 }, {1, 0, 2 }, {1, 0, 3 }, {1, 0, 4 }, {1, 0, 5 }, {1, 0, 6 }, {1, 0, 7 }, {1, 1, 0 },
{1, 0, 8 }, {1, 1, 8 }, {1, 0, 9 }, {1, 1, 1 }, {1, 1, 9 }, {1, 0, 10}, {1, 1, 10}, {1, 1, 2 },
{1, 1, 11}, {1, 1, 3 }, {1, 0, 11}, {1, 1, 12}, {1, 0, 12}, {1, 1, 4 }, {1, 1, 5 }, {1, 1, 6 },
{1, 1, 7 }, {2, 0, 0 }, {2, 0, 1 }, {2, 0, 2 }, {2, 0, 3 }, {2, 0, 4 }, {2, 0, 5 }, {2, 0, 6 },
{2, 0, 7 }, {2, 0, 8 }, {2, 1, 8 }, {2, 1, 0 }, {2, 0, 9 }, {2, 1, 1 }, {2, 1, 9 }, {2, 1, 2 },
{2, 1, 10}, {2, 0, 10}, {2, 1, 3 }, {2, 1, 4 }, {2, 1, 5 }, {2, 1, 6 }, {2, 1, 7 }, {2, 2, 0 },
{2, 2, 1 }, {2, 2, 2 }, {2, 2, 3 }, {2, 2, 4 }, {2, 2, 5 }, {2, 2, 6 }, {2, 2, 7 }, {2, 2, 8 },
{2, 2, 9 }, {2, 2, 10}, {3, 0, 0 }, {3, 0, 1 }, {3, 0, 2 }, {3, 0, 3 }, {3, 0, 4 }, {3, 0, 5 },
{3, 0, 6 }, {3, 0, 7 }, {3, 1, 8 }, {3, 0, 8 }, {3, 1, 0 }, {3, 1, 1 }, {3, 1, 2 }, {3, 1, 3 },
{3, 1, 4 }, {3, 1, 5 }, {3, 1, 6 }, {3, 1, 7 }, {3, 2, 0 }, {3, 2, 1 }, {3, 2, 2 }, {3, 2, 3 },
{3, 2, 4 }, {3, 2, 5 }, {3, 2, 6 }, {3, 2, 7 }, {3, 3, 0 }, {3, 3, 8 }, {3, 2, 8 }, {3, 3, 1 },
{3, 3, 2 }, {3, 3, 3 }, {3, 3, 4 }, {3, 3, 5 }, {3, 3, 6 }, {3, 3, 7 }, {4, 0, 0 }, {4, 0, 1 },
{4, 0, 2 }, {4, 0, 3 }, {4, 0, 4 }, {4, 0, 5 }, {4, 0, 6 }, {4, 1, 0 }, {4, 1, 1 }, {4, 1, 2 },
{4, 1, 3 }, {4, 1, 4 }, {4, 1, 5 }, {4, 1, 6 }, {4, 2, 0 }, {4, 2, 1 }, {4, 2, 2 }, {4, 2, 3 },
{4, 2, 4 }, {4, 2, 5 }, {4, 2, 6 }, {4, 3, 0 }, {4, 3, 1 }, {4, 3, 2 }, {4, 3, 3 }, {4, 3, 4 },
{4, 3, 5 }, {4, 3, 6 }, {4, 4, 0 }, {4, 4, 1 }, {4, 4, 2 }, {4, 4, 3 }, {4, 4, 4 }, {4, 4, 5 },
{4, 4, 6 }, {5, 0, 0 }, {5, 0, 1 }, {5, 0, 2 }, {5, 0, 3 }, {5, 0, 4 }, {5, 1, 0 }, {5, 1, 1 },
{5, 1, 2 }, {5, 1, 3 }, {5, 1, 4 }, {5, 2, 0 }, {5, 2, 1 }, {5, 2, 2 }, {5, 2, 3 }, {5, 2, 4 },
{5, 3, 0 }, {5, 3, 1 }, {5, 3, 2 }, {5, 3, 3 }, {5, 3, 4 }, {5, 4, 0 }, {5, 4, 1 }, {5, 4, 2 },
{5, 4, 3 }, {5, 4, 4 }, {5, 5, 0 }, {5, 5, 1 }, {5, 5, 2 }, {5, 5, 3 }, {5, 5, 4 }, {6, 0, 0 },
{6, 0, 1 }, {6, 0, 2 }, {6, 1, 0 }, {6, 1, 1 }, {6, 1, 2 }, {6, 2, 0 }, {6, 2, 1 }, {6, 2, 2 },
{6, 3, 0 }, {6, 3, 1 }, {6, 3, 2 }, {6, 4, 0 }, {6, 4, 1 }, {6, 4, 2 }, {6, 5, 0 }, {6, 5, 1 },
{6, 5, 2 }, {6, 6, 0 }, {6, 6, 1 }, {6, 6, 2 }, {7, 0, 0 }, {7, 1, 0 }, {7, 2, 0 }, {7, 3, 0 },
{7, 4, 0 }, {7, 5, 0 }, {7, 6, 0 },
});
/// The number of cases with different heads in GroupUnion.
constexpr auto GROUP_UNION_CASES_NUM = std::to_array<std::tuple<uint32_t, uint32_t, uint32_t, uint32_t>>({
{1 , 1 , 1 , 1 }, {16 , 16 , 16 , 16 }, {120 , 120 , 120 , 120 },
{560 , 560 , 560 , 560 }, {1820 , 1820 , 1820 , 1820 }, {4368 , 4368 , 4368 , 4368 },
{8008 , 8008 , 8008 , 8008 }, {11440, 11440, 11440, 11440}, {12870, 12870, 12870, 12870},
{11440, 11440, 11440, 11440}, {8008 , 8008 , 8008 , 8008 }, {4368 , 4368 , 4368 , 4368 },
{1820 , 1820 , 1820 , 1820 }, {560 , 560 , 560 , 560 }, {120 , 120 , 120 , 120 },
{11 , 9 , 11 , 9 }, {154 , 126 , 154 , 126 }, {1001 , 819 , 1001 , 819 },
{4004 , 3276 , 4004 , 3276 }, {11011, 9009 , 11011, 9009 }, {22022, 18018, 22022, 18018},
{33033, 27027, 33033, 27027}, {37752, 30888, 37752, 30888}, {12 , 12 , 10 , 10 },
{33033, 27027, 33033, 27027}, {36036, 36036, 30030, 30030}, {22022, 18018, 22022, 18018},
{168 , 168 , 140 , 140 }, {24024, 24024, 20020, 20020}, {11011, 9009 , 11011, 9009 },
{12012, 12012, 10010, 10010}, {1092 , 1092 , 910 , 910 }, {4368 , 4368 , 3640 , 3640 },
{4368 , 4368 , 3640 , 3640 }, {4004 , 3276 , 4004 , 3276 }, {1092 , 1092 , 910 , 910 },
{1001 , 819 , 1001 , 819 }, {12012, 12012, 10010, 10010}, {24024, 24024, 20020, 20020},
{36036, 36036, 30030, 30030}, {41184, 41184, 34320, 34320}, {49 , 30 , 49 , 30 },
{588 , 360 , 588 , 360 }, {3234 , 1980 , 3234 , 1980 }, {10780, 6600 , 10780, 6600 },
{24255, 14850, 24255, 14850}, {38808, 23760, 38808, 23760}, {45276, 27720, 45276, 27720},
{38808, 23760, 38808, 23760}, {24255, 14850, 24255, 14850}, {49005, 40590, 41580, 36630},
{99 , 82 , 84 , 74 }, {10780, 6600 , 10780, 6600 }, {1188 , 984 , 1008 , 888 },
{21780, 18040, 18480, 16280}, {6534 , 5412 , 5544 , 4884 }, {6534 , 5412 , 5544 , 4884 },
{3234 , 1980 , 3234 , 1980 }, {21780, 18040, 18480, 16280}, {49005, 40590, 41580, 36630},
{78408, 64944, 66528, 58608}, {91476, 75768, 77616, 68376}, {78408, 64944, 66528, 58608},
{58 , 58 , 39 , 39 }, {696 , 696 , 468 , 468 }, {3828 , 3828 , 2574 , 2574 },
{12760, 12760, 8580 , 8580 }, {28710, 28710, 19305, 19305}, {45936, 45936, 30888, 30888},
{53592, 53592, 36036, 36036}, {45936, 45936, 30888, 30888}, {28710, 28710, 19305, 19305},
{12760, 12760, 8580 , 8580 }, {3828 , 3828 , 2574 , 2574 }, {114 , 45 , 114 , 45 },
{1140 , 450 , 1140 , 450 }, {5130 , 2025 , 5130 , 2025 }, {13680, 5400 , 13680, 5400 },
{23940, 9450 , 23940, 9450 }, {28728, 11340, 28728, 11340}, {23940, 9450 , 23940, 9450 },
{13680, 5400 , 13680, 5400 }, {14355, 9270 , 12240, 9090 }, {5130 , 2025 , 5130 , 2025 },
{319 , 206 , 272 , 202 }, {3190 , 2060 , 2720 , 2020 }, {14355, 9270 , 12240, 9090 },
{38280, 24720, 32640, 24240}, {66990, 43260, 57120, 42420}, {80388, 51912, 68544, 50904},
{66990, 43260, 57120, 42420}, {38280, 24720, 32640, 24240}, {346 , 288 , 243 , 225 },
{3460 , 2880 , 2430 , 2250 }, {15570, 12960, 10935, 10125}, {41520, 34560, 29160, 27000},
{72660, 60480, 51030, 47250}, {87192, 72576, 61236, 56700}, {72660, 60480, 51030, 47250},
{41520, 34560, 29160, 27000}, {144 , 144 , 76 , 76 }, {6480 , 6480 , 3420 , 3420 },
{15570, 12960, 10935, 10125}, {1440 , 1440 , 760 , 760 }, {6480 , 6480 , 3420 , 3420 },
{17280, 17280, 9120 , 9120 }, {30240, 30240, 15960, 15960}, {36288, 36288, 19152, 19152},
{30240, 30240, 15960, 15960}, {17280, 17280, 9120 , 9120 }, {150 , 30 , 150 , 30 },
{1200 , 240 , 1200 , 240 }, {4200 , 840 , 4200 , 840 }, {8400 , 1680 , 8400 , 1680 },
{10500, 2100 , 10500, 2100 }, {8400 , 1680 , 8400 , 1680 }, {4200 , 840 , 4200 , 840 },
{507 , 230 , 426 , 244 }, {4056 , 1840 , 3408 , 1952 }, {14196, 6440 , 11928, 6832 },
{28392, 12880, 23856, 13664}, {35490, 16100, 29820, 17080}, {28392, 12880, 23856, 13664},
{14196, 6440 , 11928, 6832 }, {767 , 509 , 557 , 467 }, {6136 , 4072 , 4456 , 3736 },
{21476, 14252, 15596, 13076}, {42952, 28504, 31192, 26152}, {53690, 35630, 38990, 32690},
{42952, 28504, 31192, 26152}, {21476, 14252, 15596, 13076}, {593 , 498 , 334 , 320 },
{4744 , 3984 , 2672 , 2560 }, {16604, 13944, 9352 , 8960 }, {33208, 27888, 18704, 17920},
{41510, 34860, 23380, 22400}, {33208, 27888, 18704, 17920}, {16604, 13944, 9352 , 8960 },
{193 , 193 , 79 , 79 }, {1544 , 1544 , 632 , 632 }, {5404 , 5404 , 2212 , 2212 },
{10808, 10808, 4424 , 4424 }, {13510, 13510, 5530 , 5530 }, {10808, 10808, 4424 , 4424 },
{5404 , 5404 , 2212 , 2212 }, {114 , 9 , 114 , 9 }, {684 , 54 , 684 , 54 },
{1710 , 135 , 1710 , 135 }, {2280 , 180 , 2280 , 180 }, {1710 , 135 , 1710 , 135 },
{413 , 106 , 334 , 122 }, {2478 , 636 , 2004 , 732 }, {6195 , 1590 , 5010 , 1830 },
{8260 , 2120 , 6680 , 2440 }, {6195 , 1590 , 5010 , 1830 }, {788 , 402 , 579 , 424 },
{4728 , 2412 , 3474 , 2544 }, {11820, 6030 , 8685 , 6360 }, {15760, 8040 , 11580, 8480 },
{11820, 6030 , 8685 , 6360 }, {829 , 550 , 498 , 438 }, {4974 , 3300 , 2988 , 2628 },
{12435, 8250 , 7470 , 6570 }, {16580, 11000, 9960 , 8760 }, {12435, 8250 , 7470 , 6570 },
{521 , 453 , 235 , 231 }, {3126 , 2718 , 1410 , 1386 }, {7815 , 6795 , 3525 , 3465 },
{10420, 9060 , 4700 , 4620 }, {7815 , 6795 , 3525 , 3465 }, {132 , 132 , 42 , 42 },
{792 , 792 , 252 , 252 }, {1980 , 1980 , 630 , 630 }, {2640 , 2640 , 840 , 840 },
{1980 , 1980 , 630 , 630 }, {49 , 1 , 49 , 1 }, {196 , 4 , 196 , 4 },
{294 , 6 , 294 , 6 }, {165 , 22 , 126 , 26 }, {660 , 88 , 504 , 104 },
{990 , 132 , 756 , 156 }, {374 , 115 , 269 , 141 }, {1496 , 460 , 1076 , 564 },
{2244 , 690 , 1614 , 846 }, {491 , 282 , 310 , 260 }, {1964 , 1128 , 1240 , 1040 },
{2946 , 1692 , 1860 , 1560 }, {394 , 254 , 197 , 162 }, {1576 , 1016 , 788 , 648 },
{2364 , 1524 , 1182 , 972 }, {224 , 212 , 86 , 86 }, {896 , 848 , 344 , 344 },
{1344 , 1272 , 516 , 516 }, {36 , 36 , 9 , 9 }, {144 , 144 , 36 , 36 },
{216 , 216 , 54 , 54 }, {11 , 0 , 11 , 0 }, {25 , 2 , 18 , 2 },
{83 , 14 , 57 , 19 }, {94 , 38 , 61 , 38 }, {126 , 73 , 69 , 55 },
{60 , 40 , 28 , 16 }, {42 , 42 , 15 , 15 },
});
} // namespace klotski::cases

143
src/core/group/internal/group_union.cc
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@ -9,6 +9,8 @@
#include <iostream>
#include <core/core.h>
#include "constant/group_union.h"
static KLSK_INLINE uint32_t type_id(const int n, const int n_2x1, const int n_1x1) {
constexpr int offset[8] = {0, 15, 41, 74, 110, 145, 175, 196};
return offset[n] + (15 - n * 2) * n_2x1 + n_1x1;
@ -36,61 +38,14 @@ uint32_t klotski::cases::GroupUnion::type_id(codec::RawCode raw_code) {
return raw_code_to_type_id(raw_code.unwrap());
}
// TODO: using {n, n_2x1, n_1x1} for CPU cache-line perf.
constexpr int TYPE_ID_N_NUM[203] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6,
6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6,
6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7,
};
constexpr int TYPE_ID_N_2x1_NUM[203] = {
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1,
1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2,
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2,
2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 0, 0,
0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2,
2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4,
4, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2,
3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 0,
0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5,
5, 6, 6, 6, 0, 1, 2, 3, 4, 5, 6,
};
constexpr int TYPE_ID_N_1x1_NUM[203] = {
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0,
1, 2, 3, 4, 5, 6, 7, 0, 8, 8, 9, 1, 9, 10, 10, 2,
11, 3, 11, 12, 12, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6,
7, 8, 8, 0, 9, 1, 9, 2, 10, 10, 3, 4, 5, 6, 7, 0,
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5,
6, 7, 8, 8, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3,
4, 5, 6, 7, 0, 8, 8, 1, 2, 3, 4, 5, 6, 7, 0, 1,
2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3,
4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5,
6, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4,
0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0,
1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1,
2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0,
};
klotski::cases::RangesUnion klotski::cases::GroupUnion::cases() const {
Ranges ranges {};
int n = TYPE_ID_N_NUM[type_id_];
int n_2x1 = TYPE_ID_N_2x1_NUM[type_id_];
int n_1x1 = TYPE_ID_N_1x1_NUM[type_id_]; // TODO: cal from type_id
auto [n, n_2x1, n_1x1] = BLOCK_NUM[type_id_];
// int n = TYPE_ID_N_NUM[type_id_];
// int n_2x1 = TYPE_ID_N_2x1_NUM[type_id_];
// int n_1x1 = TYPE_ID_N_1x1_NUM[type_id_]; // TODO: cal from type_id
ranges.spawn(n, n_2x1, n_1x1);
// for (int i = 0; i < TYPE_ID_LIMIT; ++i) {
@ -98,11 +53,54 @@ klotski::cases::RangesUnion klotski::cases::GroupUnion::cases() const {
// }
// std::stable_sort(ranges.begin(), ranges.end());
for (auto &x : ranges) {
x = klotski::range_reverse(x);
}
// for (auto &x : ranges) {
// x = klotski::range_reverse(x);
// }
ranges.reverse();
// auto do_assert = [](uint32_t lhs, uint32_t rhs) {
// if (lhs != rhs) {
// std::cout << "error" << std::endl;
// }
// };
RangesUnion cases;
// cases[0x0].reserve(7815);
// cases[0x1].reserve(6795);
// cases[0x2].reserve(7815);
//
// cases[0x4].reserve(3525);
// cases[0x5].reserve(3465);
// cases[0x6].reserve(3525);
//
// cases[0x8].reserve(3525);
// cases[0x9].reserve(3465);
// cases[0xA].reserve(3525);
//
// cases[0xC].reserve(7815);
// cases[0xD].reserve(6795);
// cases[0xE].reserve(7815);
auto [A, B, C, D] = GROUP_UNION_CASES_NUM[type_id_];
cases[0x0].reserve(A);
cases[0x1].reserve(B);
cases[0x2].reserve(A);
cases[0x4].reserve(C);
cases[0x5].reserve(D);
cases[0x6].reserve(C);
cases[0x8].reserve(C);
cases[0x9].reserve(D);
cases[0xA].reserve(C);
cases[0xC].reserve(A);
cases[0xD].reserve(B);
cases[0xE].reserve(A);
ranges.derive(0x0, cases[0x0]);
ranges.derive(0x1, cases[0x1]);
ranges.derive(0x2, cases[0x2]);
@ -119,5 +117,38 @@ klotski::cases::RangesUnion klotski::cases::GroupUnion::cases() const {
ranges.derive(0xD, cases[0xD]);
ranges.derive(0xE, cases[0xE]);
// uint32_t A = cases[0x0].size();
// uint32_t B = cases[0x1].size();
// uint32_t C = cases[0x4].size();
// uint32_t D = cases[0x5].size();
//
// do_assert(cases[0x2].size(), A);
// do_assert(cases[0x6].size(), C);
// do_assert(cases[0x8].size(), C);
// do_assert(cases[0x9].size(), D);
// do_assert(cases[0xA].size(), C);
// do_assert(cases[0xC].size(), A);
// do_assert(cases[0xD].size(), B);
// do_assert(cases[0xE].size(), A);
//
// std::cout << A << ", " << B << ", " << C << ", " << D << std::endl;
// auto [A, B, C, D] = kk[type_id_];
// do_assert(cases[0x0].size(), A);
// do_assert(cases[0x1].size(), B);
// do_assert(cases[0x2].size(), A);
//
// do_assert(cases[0x4].size(), C);
// do_assert(cases[0x5].size(), D);
// do_assert(cases[0x6].size(), C);
//
// do_assert(cases[0x8].size(), C);
// do_assert(cases[0x9].size(), D);
// do_assert(cases[0xA].size(), C);
//
// do_assert(cases[0xC].size(), A);
// do_assert(cases[0xD].size(), B);
// do_assert(cases[0xE].size(), A);
return cases;
}

61
src/core/group/internal/group_union.inl
View File

@ -1,66 +1,9 @@
#pragma once
#include <bit>
#include "constant/group_union.h"
namespace klotski::cases {
// TODO: using std::array
const uint16_t GROUP_NUM[203] = {
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1,
1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1,
1, 1, 3, 79, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 141, 1,
1, 1, 1, 1, 1, 1, 1, 1, 1, 17, 1, 1, 1, 1, 1, 1,
1, 17, 273, 1, 1, 1, 1, 1, 1, 9, 145, 841, 1, 1, 1, 1,
1, 1, 15, 97, 517, 1, 1, 1, 1, 1, 1, 1, 5, 91, 1, 1,
1, 1, 1, 59, 587, 1, 1, 1, 1, 21, 353, 1741, 1, 1, 1, 7,
81, 479, 2327, 1, 1, 1, 5, 33, 165, 1053, 1, 1, 1, 1, 1, 9,
157, 1, 1, 1, 57, 505, 1, 1, 13, 325, 1729, 3, 9, 99, 631, 2609,
1, 17, 91, 487, 2653, 1, 1, 11, 75, 898, 2, 2, 2, 2, 80, 1,
2, 138, 14, 126, 590, 22, 183, 1074, 33, 209, 1178, 13, 171, 1185, 6, 16,
214, 6, 18, 54, 2, 44, 40, 124, 84, 70, 18,
};
const uint32_t GROUP_MAX_SIZE[203] = {
12, 192, 1440, 6720, 21840, 52416, 96096, 137280, 154440, 137280, 96096, 52416,
21840, 6720, 1440, 124, 1736, 11284, 45136, 124124, 248248, 372372, 425568, 372372,
248248, 124124, 45136, 10836, 132, 1848, 12012, 48048, 132132, 264264, 396396, 453024,
396396, 264264, 132132, 48048, 11916, 512, 6144, 33792, 112640, 253440, 405504, 473088,
405504, 253440, 112576, 30104, 1044, 12528, 68904, 229680, 516780, 826848, 964656, 826848,
516780, 228848, 65848, 582, 6984, 38412, 128040, 288090, 460944, 537768, 460944, 288090,
128040, 37740, 1092, 10920, 49140, 131040, 229320, 275184, 229320, 130032, 38672, 3180,
31800, 143100, 381600, 667800, 801360, 667544, 377408, 127676, 3382, 33820, 152190, 405840,
710220, 852264, 709388, 403056, 143462, 1320, 13200, 59400, 158400, 277200, 332640, 277200,
158272, 57524, 1320, 10560, 36960, 73920, 92400, 71944, 23704, 4680, 37440, 131040,
262080, 327120, 253968, 105064, 7248, 57984, 202944, 405440, 504616, 396284, 175580, 5344,
42752, 149632, 299136, 373184, 296520, 136040, 1632, 13056, 45696, 91392, 114240, 91264,
43704, 948, 5688, 14220, 17696, 7888, 3444, 20664, 51044, 61204, 28832, 7048,
42288, 104540, 132556, 81462, 7284, 42728, 104960, 135192, 81340, 4392, 26352, 65688,
86968, 25955, 522, 3132, 7830, 10440, 7462, 396, 792, 508, 240, 768,
742, 1804, 2348, 1398, 1504, 5372, 1192, 2984, 4376, 453, 350, 1380,
1532, 45, 66, 38, 44, 5, 82, 21, 23, 24, 21,
};
const uint32_t GROUP_UNION_SIZE[203] = {
12, 192, 1440, 6720, 21840, 52416, 96096, 137280, 154440, 137280, 96096, 52416,
21840, 6720, 1440, 124, 1736, 11284, 45136, 124124, 248248, 372372, 425568, 372372,
248248, 124124, 45136, 11284, 132, 1848, 12012, 48048, 132132, 264264, 396396, 453024,
396396, 264264, 132132, 48048, 12012, 512, 6144, 33792, 112640, 253440, 405504, 473088,
405504, 253440, 112640, 33792, 1044, 12528, 68904, 229680, 516780, 826848, 964656, 826848,
516780, 229680, 68904, 582, 6984, 38412, 128040, 288090, 460944, 537768, 460944, 288090,
128040, 38412, 1092, 10920, 49140, 131040, 229320, 275184, 229320, 131040, 49140, 3180,
31800, 143100, 381600, 667800, 801360, 667800, 381600, 143100, 3382, 33820, 152190, 405840,
710220, 852264, 710220, 405840, 152190, 1320, 13200, 59400, 158400, 277200, 332640, 277200,
158400, 59400, 1320, 10560, 36960, 73920, 92400, 73920, 36960, 4680, 37440, 131040,
262080, 327600, 262080, 131040, 7248, 57984, 202944, 405888, 507360, 405888, 202944, 5344,
42752, 149632, 299264, 374080, 299264, 149632, 1632, 13056, 45696, 91392, 114240, 91392,
45696, 948, 5688, 14220, 18960, 14220, 3444, 20664, 51660, 68880, 51660, 7120,
42720, 106800, 142400, 106800, 7284, 43704, 109260, 145680, 109260, 4392, 26352, 65880,
87840, 65880, 1044, 6264, 15660, 20880, 15660, 396, 1584, 2376, 1260, 5040,
7560, 3084, 12336, 18504, 4288, 17152, 25728, 3196, 12784, 19176, 1836, 7344,
11016, 270, 1080, 1620, 88, 180, 626, 772, 1036, 464, 342,
};
// ------------------------------------------------------------------------------------- //
inline uint32_t GroupUnion::unwrap() const {
@ -89,7 +32,7 @@ inline uint32_t GroupUnion::group_num() const {
}
inline uint32_t GroupUnion::max_group_size() const {
return GROUP_MAX_SIZE[type_id_];
return MAX_GROUP_SIZE[type_id_];
}
inline std::vector<Group> GroupUnion::groups() const {

8
src/core/main.cc
View File

@ -34,10 +34,12 @@ int main() {
const auto start = std::chrono::system_clock::now();
AllCases::instance().build();
// AllCases::instance().build();
// auto ret = GroupUnion::unsafe_create(169).cases();
// std::cout << ret[4].size() << std::endl;
for (int type_id = 0; type_id < klotski::cases::TYPE_ID_LIMIT; ++type_id) {
auto ret = GroupUnion::unsafe_create(type_id).cases();
// std::cout << ret[4].size() << std::endl;
}
std::cerr << std::chrono::system_clock::now() - start << std::endl;

15
src/core/ranges/ranges.h
View File

@ -12,6 +12,8 @@ public:
/// Spawn klotski-ranges that match the specified block numbers.
void spawn(int n, int n_2x1, int n_1x1);
void reverse();
/// Derive the legal klotski-ranges with specified head.
void derive(int head, Ranges &output) const;
@ -19,9 +21,16 @@ public:
static KLSK_INLINE int check(int head, uint32_t range);
};
typedef std::array<Ranges, 16> RangesUnion;
// typedef std::array<Ranges, 16> RangesUnion;
class RangesUnion final : public std::array<Ranges, 16> {
std::vector<uint64_t> codes();
};
// TODO: add RangesUnion here
// TODO: -> spawn from Ranges / export std::vector<CommonCode>
inline void Ranges::reverse() {
for (auto &x : *this) {
x = range_reverse(x);
}
}
} // namespace klotski::cases

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