#include "moves.h" void move_cubearray(Move m, CubeArray *arr, PieceFilter f); Cube move_via_array(Move m, Cube cube, PieceFilter f); void sort_cancel_rotate(NissMove *alg, int n, bool inv, int top, int front); bool read_ttables_file(); bool write_ttables_file(); /* Transition tables */ uint16_t epose_ttable[NMOVES][factorial12/factorial8]; uint16_t eposs_ttable[NMOVES][factorial12/factorial8]; uint16_t eposm_ttable[NMOVES][factorial12/factorial8]; uint16_t eofb_ttable[NMOVES][pow2to11]; uint16_t eorl_ttable[NMOVES][pow2to11]; uint16_t eoud_ttable[NMOVES][pow2to11]; uint16_t cp_ttable[NMOVES][factorial8]; uint16_t coud_ttable[NMOVES][pow3to7]; uint16_t cofb_ttable[NMOVES][pow3to7]; uint16_t corl_ttable[NMOVES][pow3to7]; uint16_t cpos_ttable[NMOVES][factorial6]; bool commute[NMOVES][NMOVES]; bool possible_next[NMOVES][NMOVES][NMOVES]; Move inverse[NMOVES]; char move_string[NMOVES][5] = { "-", "U", "U2", "U\'", "D", "D2", "D\'", "R", "R2", "R\'", "L", "L2", "L\'", "F", "F2", "F\'", "B", "B2", "B\'", "Uw", "Uw2", "Uw\'", "Dw", "Dw2", "Dw\'", "Rw", "Rw2", "Rw\'", "Lw", "Lw2", "Lw\'", "Fw", "Fw2", "Fw\'", "Bw", "Bw2", "Bw\'", "M", "M2", "M\'", "S", "S2", "S\'", "E", "E2", "E\'", "x", "x2", "x\'", "y", "y2", "y\'", "z", "z2", "z\'" }; /* For each type of pieces only the effects of U, x and y are described */ int edge_cycle[NMOVES][12] = { [U] = {UR, UF, UL, UB, DF, DL, DB, DR, FR, FL, BL, BR}, [x] = {DF, FL, UF, FR, DB, BL, UB, BR, DR, DL, UL, UR}, [y] = {UR, UF, UL, UB, DR, DF, DL, DB, BR, FR, FL, BL} }; int eofb_flipped[NMOVES][12] = { [x] = { [UF] = 1, [UB] = 1, [DF] = 1, [DB] = 1 }, [y] = { [FR] = 1, [FL] = 1, [BL] = 1, [BR] = 1 } }; int eorl_flipped[NMOVES][12] = { [x] = { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }, [y] = { [FR] = 1, [FL] = 1, [BL] = 1, [BR] = 1 } }; int eoud_flipped[NMOVES][12] = { [U] = { [UF] = 1, [UL] = 1, [UB] = 1, [UR] = 1 }, [x] = { [UF] = 1, [UB] = 1, [DF] = 1, [DB] = 1 }, [y] = { 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 } }; int corner_cycle[NMOVES][8] = { [U] = {UBR, UFR, UFL, UBL, DFR, DFL, DBL, DBR}, [x] = {DFR, DFL, UFL, UFR, DBR, DBL, UBL, UBR}, [y] = {UBR, UFR, UFL, UBL, DBR, DFR, DFL, DBL} }; int coud_flipped[NMOVES][8] = { [x] = {[UFR]=2,[UBR]=1,[DBR]=2,[DFR]=1,[UFL]=1,[UBL]=2,[DBL]=1,[DFL]=2} }; int corl_flipped[NMOVES][8] = { [U] = { [UFR] = 1, [UBR] = 2, [UBL] = 1, [UFL] = 2 }, [y] = {[UFR]=1,[UBR]=2,[UBL]=1,[UFL]=2,[DFR]=2,[DBR]=1,[DBL]=2,[DFL]=1} }; int cofb_flipped[NMOVES][8] = { [U] = { [UFR] = 2, [UBR] = 1, [UBL] = 2, [UFL] = 1 }, [x] = {[UFR]=1,[UBR]=2,[DFR]=2,[DBR]=1,[UBL]=2,[UFL]=1,[DBL]=1,[DFL]=2}, [y] = {[UFR]=2,[UBR]=1,[UBL]=2,[UFL]=1,[DFR]=1,[DBR]=2,[DBL]=1,[DFL]=2} }; int center_cycle[NMOVES][6] = { [x] = {F_center, B_center, R_center, L_center, D_center, U_center}, [y] = {U_center, D_center, B_center, F_center, R_center, L_center} }; /* Each move is reduced to a combination of U, x and y using this table */ Move equiv_moves[NMOVES][14] = { [U] = { U, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [U2] = { U, U, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [U3] = { U, U, U, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [D] = { x, x, U, x, x, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [D2] = { x, x, U, U, x, x, 0, 0, 0, 0, 0, 0, 0, 0 }, [D3] = { x, x, U, U, U, x, x, 0, 0, 0, 0, 0, 0, 0 }, [R] = { y, x, U, x, x, x, y, y, y, 0, 0, 0, 0, 0 }, [R2] = { y, x, U, U, x, x, x, y, y, y, 0, 0, 0, 0 }, [R3] = { y, x, U, U, U, x, x, x, y, y, y, 0, 0, 0 }, [L] = { y, y, y, x, U, x, x, x, y, 0, 0, 0, 0, 0 }, [L2] = { y, y, y, x, U, U, x, x, x, y, 0, 0, 0, 0 }, [L3] = { y, y, y, x, U, U, U, x, x, x, y, 0, 0, 0 }, [F] = { x, U, x, x, x, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [F2] = { x, U, U, x, x, x, 0, 0, 0, 0, 0, 0, 0, 0 }, [F3] = { x, U, U, U, x, x, x, 0, 0, 0, 0, 0, 0, 0 }, [B] = { x, x, x, U, x, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [B2] = { x, x, x, U, U, x, 0, 0, 0, 0, 0, 0, 0, 0 }, [B3] = { x, x, x, U, U, U, x, 0, 0, 0, 0, 0, 0, 0 }, [Uw] = { x, x, U, x, x, y, 0, 0, 0, 0, 0, 0, 0, 0 }, [Uw2] = { x, x, U, U, x, x, y, y, 0, 0, 0, 0, 0, 0 }, [Uw3] = { x, x, U, U, U, x, x, y, y, y, 0, 0, 0, 0 }, [Dw] = { U, y, y, y, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [Dw2] = { U, U, y, y, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [Dw3] = { U, U, U, y, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [Rw] = { y, y, y, x, U, x, x, x, y, x, 0, 0, 0, 0 }, [Rw2] = { y, y, y, x, U, U, x, x, x, y, x, x, 0, 0 }, [Rw3] = { y, y, y, x, U, U, U, y, x, x, x, y, 0, 0 }, [Lw] = { y, x, U, x, x, x, y, y, y, x, x, x, 0, 0 }, [Lw2] = { y, x, U, U, x, x, x, y, y, y, x, x, 0, 0 }, [Lw3] = { y, x, U, U, U, x, x, x, y, y, y, x, 0, 0 }, [Fw] = { x, x, x, U, y, y, y, x, 0, 0, 0, 0, 0, 0 }, [Fw2] = { x, x, x, U, U, y, y, x, 0, 0, 0, 0, 0, 0 }, [Fw3] = { x, x, x, U, U, U, y, x, 0, 0, 0, 0, 0, 0 }, [Bw] = { x, U, y, y, y, x, x, x, 0, 0, 0, 0, 0, 0 }, [Bw2] = { x, U, U, y, y, x, x, x, 0, 0, 0, 0, 0, 0 }, [Bw3] = { x, U, U, U, y, x, x, x, 0, 0, 0, 0, 0, 0 }, [M] = { y, x, U, x, x, U, U, U, y, x, y, y, y, 0 }, [M2] = { y, x, U, U, x, x, U, U, x, x, x, y, 0, 0 }, [M3] = { y, x, U, U, U, x, x, U, y, x, x, x, y, 0 }, [S] = { x, U, U, U, x, x, U, y, y, y, x, 0, 0, 0 }, [S2] = { x, U, U, x, x, U, U, y, y, x, 0, 0, 0, 0 }, [S3] = { x, U, x, x, U, U, U, y, x, 0, 0, 0, 0, 0 }, [E] = { U, x, x, U, U, U, x, x, y, y, y, 0, 0, 0 }, [E2] = { U, U, x, x, U, U, x, x, y, y, 0, 0, 0, 0 }, [E3] = { U, U, U, x, x, U, x, x, y, 0, 0, 0, 0, 0 }, [x] = { x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [x2] = { x, x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [x3] = { x, x, x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [y] = { y, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [y2] = { y, y, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [y3] = { y, y, y, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [z] = { y, y, y, x, y, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [z2] = { y, y, x, x, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, [z3] = { y, x, y, y, y, 0, 0, 0, 0, 0, 0, 0, 0, 0 }, }; /* Movesets */ bool standard_moveset[NMOVES] = { [U] = true, [U2] = true, [U3] = true, [D] = true, [D2] = true, [D3] = true, [R] = true, [R2] = true, [R3] = true, [L] = true, [L2] = true, [L3] = true, [F] = true, [F2] = true, [F3] = true, [B] = true, [B2] = true, [B3] = true, }; bool is_solved_up_to_reorient(Cube cube) { if (is_solved(cube)) return true; /*TODO: improve this crap */ bool ret = false; for (int i = x; i <= z3; i++) { ret = ret || is_solved(move_cube(i, cube)); for (int j = x; j <= z3; j++) ret = ret || is_solved(move_cube(i, move_cube(j, cube))); } return ret; } void move_cubearray(Move m, CubeArray *arr, PieceFilter f) { if (f.epose || f.eposs || f.eposm) apply_permutation(edge_cycle[m], arr->ep, 12); if (f.eofb) { apply_permutation(edge_cycle[m], arr->eofb, 12); sum_arrays_mod(eofb_flipped[m], arr->eofb, 12, 2); } if (f.eorl) { apply_permutation(edge_cycle[m], arr->eorl, 12); sum_arrays_mod(eorl_flipped[m], arr->eorl, 12, 2); } if (f.eoud) { apply_permutation(edge_cycle[m], arr->eoud, 12); sum_arrays_mod(eoud_flipped[m], arr->eoud, 12, 2); } if (f.cp) apply_permutation(corner_cycle[m], arr->cp, 8); if (f.coud) { apply_permutation(corner_cycle[m], arr->coud, 8); sum_arrays_mod(coud_flipped[m], arr->coud, 8, 3); } if (f.corl) { apply_permutation(corner_cycle[m], arr->corl, 8); sum_arrays_mod(corl_flipped[m], arr->corl, 8, 3); } if (f.cofb) { apply_permutation(corner_cycle[m], arr->cofb, 8); sum_arrays_mod(cofb_flipped[m], arr->cofb, 8, 3); } if (f.cpos) apply_permutation(center_cycle[m], arr->cpos, 6); } Cube move_via_array(Move m, Cube cube, PieceFilter f) { CubeArray arr = {0}; cube_to_arrays(cube, &arr, f); move_cubearray(m, &arr, f); return arrays_to_cube(arr, f); } int copy_alg(NissMove *src, NissMove *dest) { int i; for (i = 0; src[i].m != NULLMOVE; i++) dest[i] = src[i]; dest[i].m = NULLMOVE; return i; } /* TODO: all strings start with space?? */ void print_moves(NissMove *alg) { bool niss = false; for (int i = 0; alg[i].m != NULLMOVE; i++) { char *fill = !niss && alg[i].inverse ? " (" : (niss && !alg[i].inverse ? ") " : " "); printf("%s%s", fill, move_string[alg[i].m]); niss = alg[i].inverse; } printf("%s\n", niss ? ")" : ""); } int read_moves(char *str, NissMove *alg, int n) { bool niss = false; int c = 0; for (int i = 0; str[i] && c < n; i++) { if (str[i] == ' ' || str[i] == '\t' || str[i] == '\n') continue; if (str[i] == '(' || str[i] == ')') { if ((niss && str[i] == '(') || (!niss && str[i] == ')')) return -1; niss = !niss; continue; } alg[c].inverse = niss; alg[c].m = NULLMOVE; for (Move j = 0; j < NMOVES; j++) { if (str[i] == move_string[j][0]) { alg[c].m = j; if (alg[c].m <= B && str[i+1]=='w') { alg[c].m += Uw - U; i++; } if (str[i+1]=='2') { alg[c].m += 1; i++; } else if (str[i+1]=='\'' || str[i+1]=='3') { alg[c].m += 2; i++; } c++; break; } } } alg[c].m = NULLMOVE; return c; } /* Helper function for cleanup. alg must contain only basic moves, no 2 or '. top and front describe an admissible orientation of the cube. */ void sort_cancel_rotate(NissMove *alg, int n, bool inv, int top, int front) { int c = 0, i = 0; PieceFilter cpos_only = { .cpos = true }; NissMove aux[n+3]; aux[0].m = NULLMOVE; while (i < n && alg[i].m != NULLMOVE) { int j = i; while (j < n && commute[alg[i].m][alg[j].m]) j++; Move base = 6*((alg[i].m-1)/6); int t1 = 0, t2 = 0; for (int k = i; k < j; k++) if (alg[k].m == base+1) t1 = (t1+1)%4; else t2 = (t2+1)%4; if (t1) { aux[c].inverse = inv; aux[c].m = base+t1; c++; } if (t2) { aux[c].inverse = inv; aux[c].m = base+t2+3; c++; } i = j; } aux[c].m = NULLMOVE; CubeArray q; cube_to_arrays(blank_cube(), &q, cpos_only); /* First we try to rotate in one move, then we try an x or y rotation followed by a z rotation */ for (int r = x; r <= z3; r++) { move_cubearray(r, &q, cpos_only); if (q.cpos[F_center] == front && q.cpos[U_center] == top) { aux[c].inverse = inv; aux[c].m = r; aux[++c].m = NULLMOVE; copy_alg(aux, alg); return; } move_cubearray(inverse[r], &q, cpos_only); } for (int r = x; r <= y3; r++) { move_cubearray(r, &q, cpos_only); if (q.cpos[F_center] == front) { aux[c].inverse = inv; aux[c++].m = r; break; } move_cubearray(inverse[r], &q, cpos_only); } for (int r = z; r <= z3; r++) { move_cubearray(r, &q, cpos_only); if (q.cpos[U_center] == top) { aux[c].inverse = inv; aux[c++].m = r; break; } move_cubearray(inverse[r], &q, cpos_only); } aux[c].m = NULLMOVE; copy_alg(aux, alg); } /* TODO: does not work with niss + rotations */ void cleanup(NissMove *alg, int n) { int count_n = 0, count_i = 0, *count; PieceFilter cpos_only = { .cpos = true }; NissMove aux_n[n+1], aux_i[n+1], *aux; CubeArray cube_n, cube_i, *cube; cube_to_arrays(blank_cube(), &cube_n, cpos_only); cube_to_arrays(blank_cube(), &cube_i, cpos_only); for (int i = 0; count_n + count_i < n && alg[i].m != NULLMOVE; i++) { if (alg[i].inverse) { count = &count_i; aux = aux_i; cube = &cube_i; } else { count = &count_n; aux = aux_n; cube = &cube_n; } for (int j = 0; equiv_moves[alg[i].m][j]; j++) { Move m = equiv_moves[alg[i].m][j]; aux[*count].inverse = alg[i].inverse; move_cubearray(m, cube, cpos_only); if (m == U) aux[(*count)++].m = 3 * cube->cpos[0] + 1; } } aux_n[count_n].m = NULLMOVE; aux_i[count_i].m = NULLMOVE; sort_cancel_rotate(aux_n, count_n, false, cube_n.cpos[0], cube_n.cpos[4]); sort_cancel_rotate(aux_i, count_i, true, cube_i.cpos[0], cube_n.cpos[4]); copy_alg(aux_n, alg); copy_alg(aux_i, alg+count_n); } bool read_ttables_file() { FILE *ttf; if ((ttf = fopen("ttables", "rb")) != NULL) { for (int m = 0; m < NMOVES; m++) { fread(epose_ttable[m], sizeof(uint16_t), factorial12/factorial8, ttf); fread(eposs_ttable[m], sizeof(uint16_t), factorial12/factorial8, ttf); fread(eposm_ttable[m], sizeof(uint16_t), factorial12/factorial8, ttf); fread(eofb_ttable[m], sizeof(uint16_t), pow2to11, ttf); fread(eorl_ttable[m], sizeof(uint16_t), pow2to11, ttf); fread(eoud_ttable[m], sizeof(uint16_t), pow2to11, ttf); fread(cp_ttable[m], sizeof(uint16_t), factorial8, ttf); fread(coud_ttable[m], sizeof(uint16_t), pow3to7, ttf); fread(corl_ttable[m], sizeof(uint16_t), pow3to7, ttf); fread(cofb_ttable[m], sizeof(uint16_t), pow3to7, ttf); fread(cpos_ttable[m], sizeof(uint16_t), factorial6, ttf); } fclose(ttf); return true; } else return false; } bool write_ttables_file() { FILE *ttf; if ((ttf = fopen("ttables", "wb")) != NULL) { for (int m = 0; m < NMOVES; m++) { fwrite(epose_ttable[m], sizeof(uint16_t), factorial12/factorial8, ttf); fwrite(eposs_ttable[m], sizeof(uint16_t), factorial12/factorial8, ttf); fwrite(eposm_ttable[m], sizeof(uint16_t), factorial12/factorial8, ttf); fwrite(eofb_ttable[m], sizeof(uint16_t), pow2to11, ttf); fwrite(eorl_ttable[m], sizeof(uint16_t), pow2to11, ttf); fwrite(eoud_ttable[m], sizeof(uint16_t), pow2to11, ttf); fwrite(cp_ttable[m], sizeof(uint16_t), factorial8, ttf); fwrite(coud_ttable[m], sizeof(uint16_t), pow3to7, ttf); fwrite(corl_ttable[m], sizeof(uint16_t), pow3to7, ttf); fwrite(cofb_ttable[m], sizeof(uint16_t), pow3to7, ttf); fwrite(cpos_ttable[m], sizeof(uint16_t), factorial6, ttf); } fclose(ttf); return true; } else return false; } void init_ttables(bool read, bool write) { /* Generate all move cycles and flips; I do this regardless */ for (int i = 0; i < NMOVES; i++) { if (i == U || i == x || i == y) continue; CubeArray arr = {0}; cube_to_arrays(blank_cube(), &arr, fAll); for (int j = 0; equiv_moves[i][j]; j++) move_cubearray(equiv_moves[i][j], &arr, fAll); intarrcopy(arr.ep, edge_cycle[i], 12); intarrcopy(arr.eofb, eofb_flipped[i], 12); intarrcopy(arr.eorl, eorl_flipped[i], 12); intarrcopy(arr.eoud, eoud_flipped[i], 12); intarrcopy(arr.cp, corner_cycle[i], 8); intarrcopy(arr.coud, coud_flipped[i], 8); intarrcopy(arr.corl, corl_flipped[i], 8); intarrcopy(arr.cofb, cofb_flipped[i], 8); intarrcopy(arr.cpos, center_cycle[i], 6); } if (read) if (read_ttables_file()) return; /* Initialize transition tables */ Cube c = {0}; PieceFilter fe = {.epose=true}, fs = {.eposs=true}, fm = {.eposm=true}; PieceFilter feo = { .eofb = true, .eorl = true, .eoud = true }; PieceFilter fcp = { .cp = true }; PieceFilter fco = { .cofb = true, .corl = true, .coud = true }; PieceFilter fcc = { .cpos = true }; for (int m = 0; m < NMOVES; m++) { for (uint16_t i = 0; i < factorial12/factorial8; i++) { c.epose = i; epose_ttable[m][i] = move_via_array(m, c, fe).epose; c.eposs = i; eposs_ttable[m][i] = move_via_array(m, c, fs).eposs; c.eposm = i; eposm_ttable[m][i] = move_via_array(m, c, fm).eposm; } for (uint16_t i = 0; i < pow2to11; i++ ) { c.eofb = i; eofb_ttable[m][i] = move_via_array(m, c, feo).eofb; c.eorl = i; eorl_ttable[m][i] = move_via_array(m, c, feo).eorl; c.eoud = i; eoud_ttable[m][i] = move_via_array(m, c, feo).eoud; } for (uint16_t i = 0; i < factorial8; i++) { c.cp = i; cp_ttable[m][i] = move_via_array(m, c, fcp).cp; } for (uint16_t i = 0; i < pow3to7; i++) { c.coud = i; coud_ttable[m][i] = move_via_array(m, c, fco).coud; c.corl = i; corl_ttable[m][i] = move_via_array(m, c, fco).corl; c.cofb = i; cofb_ttable[m][i] = move_via_array(m, c, fco).cofb; } for (uint16_t i = 0; i < factorial6; i++) { c.cpos = i; cpos_ttable[m][i] = move_via_array(m, c, fcc).cpos; } } if (write) write_ttables_file(); } Cube move_cube(Move m, Cube cube) { Cube moved = cube; moved.epose = epose_ttable[m][cube.epose]; moved.eposs = eposs_ttable[m][cube.eposs]; moved.eposm = eposm_ttable[m][cube.eposm]; moved.eofb = eofb_ttable[m][cube.eofb]; moved.eorl = eorl_ttable[m][cube.eorl]; moved.eoud = eoud_ttable[m][cube.eoud]; moved.coud = coud_ttable[m][cube.coud]; moved.cofb = cofb_ttable[m][cube.cofb]; moved.corl = corl_ttable[m][cube.corl]; moved.cp = cp_ttable[m][cube.cp]; moved.cpos = cpos_ttable[m][cube.cpos]; return moved; } Cube apply_alg(NissMove *alg, Cube cube) { Cube ret = {0}; for (int i = 0; alg[i].m != NULLMOVE; i++) if (alg[i].inverse) ret = move_cube(alg[i].m, ret); ret = compose(cube, inverse_cube(ret)); for (int i = 0; alg[i].m != NULLMOVE; i++) if (!alg[i].inverse) ret = move_cube(alg[i].m, ret); return ret; } void init_aux_tables() { /* Commute */ for (int i = 0; i < NMOVES; i++) for (int j = 0; j < NMOVES; j++) commute[i][j] = equal(move_cube(i, move_cube(j, blank_cube())), move_cube(j, move_cube(i, blank_cube()))); /* Possible next (if the sequence i j k is valid) */ for (int i = 0; i < NMOVES; i++) for (int j = 0; j < NMOVES; j++) for (int k = 0; k < NMOVES; k++) possible_next[i][j][k] = (j == 0) || (j != 0 && (j-(j-1)%3) != (k-(k-1)%3) && !(i != 0 && commute[i][j] && (i-(i-1)%3) == (k-(k-1)%3))); /* Inverse */ for (int i = 0; i < NMOVES; i++) inverse[i] = i == 0 ? 0 : i + 2 - 2*((i-1)%3); }