#define COCSEP_CLASSES ((size_t)3393) #define COCSEP_TABLESIZE ((size_t)_3p7 << (size_t)7) #define COCSEP_VISITEDSIZE ((COCSEP_TABLESIZE + (size_t)7) / (size_t)8) #define COCSEP_FULLSIZE ((size_t)4 * (COCSEP_TABLESIZE + (size_t)12)) #define ESEP_NOEO (COCSEP_CLASSES * (size_t)_12c4 * (size_t)_8c4) #define ESEP_MAX(h) (ESEP_NOEO << (size_t)(h)) #define ESEP_TABLESIZE(h, k) (ESEP_MAX((h)) / ((size_t)8 / (size_t)(k))) #define ESEP_IND(i) ((uint32_t)(i) / UINT32_C(8)) #define ESEP_SHIFT(i) (UINT32_C(4) * ((uint32_t)(i) % UINT32_C(8))) #define ESEP_MASK(i) ((_bit_u32(4) - (uint32_t)(1)) << ESEP_SHIFT(i)) #define VISITED_IND(i) ((uint32_t)(i) / UINT32_C(8)) #define VISITED_MASK(i) (UINT32_C(1) << ((uint32_t)(i) % UINT32_C(8))) #define CBOUND_MASK UINT32_C(0xFF) #define CBOUND(x) ((x) & CBOUND_MASK) #define MAXLEN 20 /* TODO: This loop over similar h48 coordinates can be improved by only transforming edges, but we need to compose transformations (i.e. conjugate _t by _ttrep). */ #define _foreach_h48sim(_cube, _cocsepdata, _selfsim, _h, _action) \ int64_t _cocsep = coord_cocsep(_cube); \ uint8_t _ttrep = TTREP(_cocsepdata[_cocsep]); \ uint8_t _inverse_ttrep = inverse_trans(_ttrep); \ int64_t _coclass = COCLASS(_cocsepdata[_cocsep]); \ cube_t _rep = transform(_cube, _ttrep); \ uint64_t _sim = _selfsim[_coclass]; \ for (uint8_t _t = 0; _t < 48 && _sim; _t++, _sim >>= 1) { \ if (!(_sim & 1)) continue; \ _cube = transform(_rep, _t); \ _cube = transform(_cube, _inverse_ttrep); \ _action \ } typedef struct { cube_t cube; uint8_t depth; uint8_t maxdepth; uint16_t *n; uint32_t *buf32; uint8_t *visited; uint64_t *selfsim; cube_t *rep; } dfsarg_cocsep_t; /* TODO keep or not? */ typedef struct { cube_t cube; int8_t nmoves; int8_t depth; uint8_t moves[MAXLEN]; uint32_t *cocsepdata; h48map_t *visited; } dfsarg_genh48set_t; typedef struct { uint8_t depth; uint32_t *cocsepdata; uint32_t *buf32; uint64_t *selfsim; int64_t done; cube_t *crep; } bfsarg_esep_t; _static_inline bool get_visited(const uint8_t *, int64_t); _static_inline void set_visited(uint8_t *, int64_t); _static_inline uint8_t get_esep_pval(const uint32_t *, int64_t); _static_inline void set_esep_pval(uint32_t *, int64_t, uint8_t); _static size_t gendata_cocsep(void *, uint64_t *, cube_t *); _static uint32_t gendata_cocsep_dfs(dfsarg_cocsep_t *); _static uint64_t gen_h48short( uint8_t, const uint32_t *, const cube_t *, const uint64_t *, h48map_t *); _static size_t gendata_h48h0k4(void *, uint8_t); _static int64_t gendata_h48h0k4_bfs(bfsarg_esep_t *); _static int64_t gendata_h48h0k4_bfs_fromdone(bfsarg_esep_t *); _static int64_t gendata_h48h0k4_bfs_fromnew(bfsarg_esep_t *); _static_inline int8_t get_h48_cdata(cube_t, uint32_t *, uint32_t *); _static_inline int8_t get_h48_bound(cube_t, uint32_t, uint8_t, uint32_t *); /* Each element of the cocsep table is a uint32_t used as follows: - Lowest 8-bit block: pruning value - Second-lowest 8-bit block: "ttrep" (transformation to representative) - Top 16-bit block: symcoord value After the data as described above, more auxiliary information is appended: - A uint32_t representing the number of symmetry classes - A uint32_t representing the highest value of the pruning table - One uint32_t for each "line" of the pruning table, representing the number of positions having that pruning value. */ _static size_t gendata_cocsep(void *buf, uint64_t *selfsim, cube_t *rep) { uint32_t *buf32, *info, cc; uint16_t n; uint8_t i, j, visited[COCSEP_VISITEDSIZE]; dfsarg_cocsep_t arg; if (buf == NULL) goto gendata_cocsep_return_size; buf32 = (uint32_t *)buf; info = buf32 + COCSEP_TABLESIZE; memset(buf32, 0xFF, sizeof(uint32_t) * COCSEP_TABLESIZE); if (selfsim != NULL) memset(selfsim, 0, sizeof(uint64_t) * COCSEP_CLASSES); arg = (dfsarg_cocsep_t) { .cube = solved, .n = &n, .buf32 = buf32, .visited = visited, .selfsim = selfsim, .rep = rep }; for (i = 0, n = 0, cc = 0; i < 10; i++) { LOG("cocsep: generating depth %" PRIu8 "\n", i); memset(visited, 0, COCSEP_VISITEDSIZE); arg.depth = 0; arg.maxdepth = i; cc = gendata_cocsep_dfs(&arg); info[i+2] = cc; LOG("found %" PRIu32 "\n", cc); } info[0] = (uint32_t)n; info[1] = 9; /* Known max pruning value */ DBG_ASSERT(n == COCSEP_CLASSES, 0, "cocsep: computed %" PRIu16 " symmetry classes, " "expected %zu\n", n, COCSEP_CLASSES); LOG("cocsep data computed\n"); LOG("Symmetry classes: %" PRIu32 "\n", info[0]); LOG("Maximum pruning value: %" PRIu32 "\n", info[1]); LOG("Pruning value distribution:\n"); for (j = 0; j < 10; j++) LOG("%" PRIu8 ":\t%" PRIu32 "\n", j, info[j+2]); gendata_cocsep_return_size: return COCSEP_FULLSIZE; } _static uint32_t gendata_cocsep_dfs(dfsarg_cocsep_t *arg) { uint8_t m; uint32_t cc, class, ttrep, depth, olddepth, tinv; uint64_t t; int64_t i, j; cube_t d; dfsarg_cocsep_t nextarg; i = coord_cocsep(arg->cube); olddepth = (uint8_t)(arg->buf32[i] & 0xFF); if (olddepth < arg->depth || get_visited(arg->visited, i)) return 0; set_visited(arg->visited, i); if (arg->depth == arg->maxdepth) { if ((arg->buf32[i] & 0xFF) != 0xFF) return 0; if (arg->rep != NULL) arg->rep[*arg->n] = arg->cube; for (t = 0, cc = 0; t < 48; t++) { d = transform_corners(arg->cube, t); j = coord_cocsep(d); if (i == j && arg->selfsim != NULL) arg->selfsim[*arg->n] |= UINT64_C(1) << t; if (COCLASS(arg->buf32[j]) != UINT32_C(0xFFFF)) continue; set_visited(arg->visited, j); tinv = inverse_trans(t); olddepth = arg->buf32[j] & 0xFF; cc += olddepth == 0xFF; class = (uint32_t)(*arg->n) << UINT32_C(16); ttrep = (uint32_t)tinv << UINT32_C(8); depth = (uint32_t)arg->depth; arg->buf32[j] = class | ttrep | depth; } (*arg->n)++; return cc; } memcpy(&nextarg, arg, sizeof(dfsarg_cocsep_t)); nextarg.depth++; for (m = 0, cc = 0; m < 18; m++) { nextarg.cube = move(arg->cube, m); cc += gendata_cocsep_dfs(&nextarg); } return cc; } _static uint64_t gen_h48short( uint8_t n, const uint32_t *cocsepdata, const cube_t *crep, const uint64_t *selfsim, h48map_t *map ) { uint8_t i, m; int64_t coord; uint64_t j, oldn; kvpair_t kv; cube_t cube, d; cube = solvedcube(); coord = coord_h48(cube, cocsepdata, 11); h48map_insertmin(map, coord, 0); oldn = 0; LOG("Short h48: generating depth 0\nfound %" PRIu8 "\n", map->n-oldn); for (i = 0; i < n; i++) { LOG("Short h48: generating depth %" PRIu8 "\n", i+1); j = 0; oldn = map->n; for (kv = h48map_nextkvpair(map, &j); j != map->capacity; kv = h48map_nextkvpair(map, &j) ) { if (kv.val != i) continue; cube = invcoord_h48(kv.key, crep, 11); for (m = 0; m < 18; m++) { d = move(cube, m); _foreach_h48sim(d, cocsepdata, selfsim, 11, coord = coord_h48(d, cocsepdata, 11); h48map_insertmin(map, coord, i+1); ) } } LOG("found %" PRIu8 "\n", map->n-oldn); } return map->n; } /* TODO description generating fixed table with h=0, k=4 */ _static size_t gendata_h48h0k4(void *buf, uint8_t maxdepth) { uint32_t j, *buf32, *info, *cocsepdata; bfsarg_esep_t arg; int64_t sc, cc, esep_max; uint64_t selfsim[COCSEP_CLASSES]; cube_t crep[COCSEP_CLASSES]; size_t cocsepsize, infosize; /* TODO: move info at start of tables (all tables!) */ infosize = 4 * maxdepth; cocsepsize = gendata_cocsep(buf, selfsim, crep); infosize = 88; if (buf == NULL) goto gendata_h48h0k4_return_size; esep_max = (int64_t)ESEP_MAX(0); cocsepdata = (uint32_t *)buf; buf32 = cocsepdata + cocsepsize / 4; info = buf32 + (ESEP_TABLESIZE(0, 4) / sizeof(uint32_t)); memset(buf32, 0xFF, ESEP_TABLESIZE(0, 4)); sc = coord_h48(solved, cocsepdata, 0); set_esep_pval(buf32, sc, 0); info[1] = 1; arg = (bfsarg_esep_t) { .cocsepdata = cocsepdata, .buf32 = buf32, .selfsim = selfsim, .crep = crep }; for ( arg.done = 1, arg.depth = 1, cc = 0; arg.done < esep_max && arg.depth <= maxdepth; arg.depth++ ) { LOG("esep: generating depth %" PRIu8 "\n", arg.depth); cc = gendata_h48h0k4_bfs(&arg); arg.done += cc; info[arg.depth+1] = cc; LOG("found %" PRId64 "\n", cc); } info[0] = arg.depth-1; LOG("h48 pruning table computed\n"); LOG("Maximum pruning value: %" PRIu32 "\n", info[0]); LOG("Pruning value distribution:\n"); for (j = 0; j <= info[0]; j++) LOG("%" PRIu8 ":\t%" PRIu32 "\n", j, info[j+1]); gendata_h48h0k4_return_size: return cocsepsize + ESEP_TABLESIZE(0, 4) + infosize; } _static int64_t gendata_h48h0k4_bfs(bfsarg_esep_t *arg) { const uint8_t breakpoint = 10; /* Hand-picked optimal */ if (arg->depth < breakpoint) return gendata_h48h0k4_bfs_fromdone(arg); else return gendata_h48h0k4_bfs_fromnew(arg); } _static int64_t gendata_h48h0k4_bfs_fromdone(bfsarg_esep_t *arg) { uint8_t c, m, x; uint32_t cc; int64_t i, j, k; cube_t cube, moved; for (i = 0, cc = 0; i < (int64_t)ESEP_MAX(0); i++) { c = get_esep_pval(arg->buf32, i); if (c != arg->depth - 1) continue; cube = invcoord_h48(i, arg->crep, 0); for (m = 0; m < 18; m++) { moved = move(cube, m); j = coord_h48(moved, arg->cocsepdata, 0); if (get_esep_pval(arg->buf32, j) <= arg->depth) continue; _foreach_h48sim(moved, arg->cocsepdata, arg->selfsim, 0, k = coord_h48(moved, arg->cocsepdata, 0); x = get_esep_pval(arg->buf32, k); set_esep_pval(arg->buf32, k, arg->depth); cc += x != arg->depth; ) } } return cc; } _static int64_t gendata_h48h0k4_bfs_fromnew(bfsarg_esep_t *arg) { uint8_t c, m, x; uint32_t cc; int64_t i, j; cube_t cube, moved; for (i = 0, cc = 0; i < (int64_t)ESEP_MAX(0); i++) { c = get_esep_pval(arg->buf32, i); if (c != 0xF) continue; cube = invcoord_h48(i, arg->crep, 0); for (m = 0; m < 18; m++) { moved = move(cube, m); j = coord_h48(moved, arg->cocsepdata, 0); x = get_esep_pval(arg->buf32, j); if (x >= arg->depth) continue; _foreach_h48sim(cube, arg->cocsepdata, arg->selfsim, 0, j = coord_h48(cube, arg->cocsepdata, 0); x = get_esep_pval(arg->buf32, j); set_esep_pval(arg->buf32, j, arg->depth); cc += x == 0xF; ) break; /* Enough to find one, skip the rest */ } } return cc; } _static_inline bool get_visited(const uint8_t *a, int64_t i) { return a[VISITED_IND(i)] & VISITED_MASK(i); } _static_inline void set_visited(uint8_t *a, int64_t i) { a[VISITED_IND(i)] |= VISITED_MASK(i); } _static_inline uint8_t get_esep_pval(const uint32_t *buf32, int64_t i) { return (buf32[ESEP_IND(i)] & ESEP_MASK(i)) >> ESEP_SHIFT(i); } _static_inline void set_esep_pval(uint32_t *buf32, int64_t i, uint8_t val) { buf32[ESEP_IND(i)] = (buf32[ESEP_IND(i)] & (~ESEP_MASK(i))) | (val << ESEP_SHIFT(i)); } _static_inline int8_t get_h48_cdata(cube_t cube, uint32_t *cocsepdata, uint32_t *cdata) { int64_t coord; coord = coord_cocsep(cube); *cdata = cocsepdata[coord]; return CBOUND(*cdata); } _static_inline int8_t get_h48_bound(cube_t cube, uint32_t cdata, uint8_t h, uint32_t *h48data) { int64_t coord; coord = coord_h48_edges(cube, COCLASS(cdata), TTREP(cdata), h); return get_esep_pval(h48data, coord); }