#include "transformations.h" int edge_slice(int e); /* Return slice (e=0, s=1, m=2) to which e belongs */ Cube rotate_via_compose(Transformation r, Cube c, PieceFilter f); bool read_rtables_file(); bool write_rtables_file(); /* Values mod 3 to determine from which side to take the state to convert */ int epose_source[NTRANS]; /* 0 = epose, 1 = eposs, 2 = eposm */ int eposs_source[NTRANS]; int eposm_source[NTRANS]; int eofb_source[NTRANS]; /* 0 = eoud, 1 = eorl, 2 = eofb */ int eorl_source[NTRANS]; int eoud_source[NTRANS]; int coud_source[NTRANS]; /* 0 = coud, 1 = corl, 2 = cofb */ int cofb_source[NTRANS]; int corl_source[NTRANS]; /* Transition tables for rotations (n+1 is mirror) */ uint16_t epose_rtable[NTRANS][factorial12/factorial8]; uint16_t eposs_rtable[NTRANS][factorial12/factorial8]; uint16_t eposm_rtable[NTRANS][factorial12/factorial8]; uint16_t eo_rtable[NTRANS][pow2to11]; uint16_t cp_rtable[NTRANS][factorial8]; uint16_t co_rtable[NTRANS][pow3to7]; uint16_t cpos_rtable[NTRANS][factorial6]; /* Same for moves */ uint16_t moves_rtable[NTRANS][NMOVES]; NissMove rotation_niss[NTRANS][6]; int edge_slice(int e) { if (e == FR || e == FL || e == BL || e == BR) return 0; if (e == UR || e == UL || e == DR || e == DL) return 1; return 2; } Cube rotate_via_compose(Transformation r, Cube c, PieceFilter f) { if (r != mirror) { return apply_alg_filtered(rotation_niss[r], c, f); } else { static int zero12[12] = {0,0,0,0,0,0,0,0,0,0,0,0}, zero8[12] = {0,0,0,0,0,0,0,0}, mirror_ep[12] = {UF,UR,UB,UL,DF,DR,DB,DL,FL,FR,BR,BL}, mirror_cp[8] = {UFL, UFR, UBR, UBL, DFL, DFR, DBR, DBL}, mirror_cpos[6] = {U_center,D_center,L_center,R_center,F_center,B_center}; return move_via_arrays((CubeArray){ .ep = mirror_ep, .eofb = zero12, .eorl = zero12, .eoud = zero12, .cp = mirror_cp, .coud = zero8, .corl = zero8, .cofb = zero8, .cpos = mirror_cpos}, c, f); } } bool read_rtables_file() { FILE *ttf; long unsigned int me[12] = { factorial12/factorial8, factorial12/factorial8, factorial12/factorial8, pow2to11, pow2to11, pow2to11, factorial8, pow3to7, pow3to7, pow3to7, factorial6, NMOVES }; if ((ttf = fopen("rtables", "rb")) != NULL) { bool r = true; for (int m = 0; m < NTRANS; m++) { r = r && fread(epose_rtable[m], sizeof(uint16_t), me[0], ttf) == me[0]; r = r && fread(eposs_rtable[m], sizeof(uint16_t), me[1], ttf) == me[1]; r = r && fread(eposm_rtable[m], sizeof(uint16_t), me[2], ttf) == me[2]; r = r && fread(eo_rtable[m], sizeof(uint16_t), me[3], ttf) == me[3]; r = r && fread(cp_rtable[m], sizeof(uint16_t), me[6], ttf) == me[6]; r = r && fread(co_rtable[m], sizeof(uint16_t), me[7], ttf) == me[7]; r = r && fread(cpos_rtable[m], sizeof(uint16_t), me[10], ttf) == me[10]; r = r && fread(moves_rtable[m], sizeof(uint16_t), me[11], ttf) == me[11]; } fclose(ttf); return r; } else return false; } bool write_rtables_file() { FILE *ttf; long unsigned int me[12] = { factorial12/factorial8, factorial12/factorial8, factorial12/factorial8, pow2to11, pow2to11, pow2to11, factorial8, pow3to7, pow3to7, pow3to7, factorial6, NMOVES }; if ((ttf = fopen("rtables", "wb")) != NULL) { bool r = true; for (int m = 0; m < NTRANS; m++) { r = r && fwrite(epose_rtable[m], sizeof(uint16_t), me[0], ttf) == me[0]; r = r && fwrite(eposs_rtable[m], sizeof(uint16_t), me[1], ttf) == me[1]; r = r && fwrite(eposm_rtable[m], sizeof(uint16_t), me[2], ttf) == me[2]; r = r && fwrite(eo_rtable[m], sizeof(uint16_t), me[3], ttf) == me[3]; r = r && fwrite(cp_rtable[m], sizeof(uint16_t), me[6], ttf) == me[6]; r = r && fwrite(co_rtable[m], sizeof(uint16_t), me[7], ttf) == me[7]; r = r && fwrite(cpos_rtable[m], sizeof(uint16_t), me[10],ttf) == me[10]; r = r && fwrite(moves_rtable[m], sizeof(uint16_t), me[11],ttf) == me[11]; } fclose(ttf); return r; } else return false; } void init_transformations(bool read, bool write) { /* Compute sources */ for (int i = 0; i < NTRANS; i++) { Cube cube = {0}; if (i != mirror) cube = apply_alg(rotation_algs[i], (Cube){0}); epose_source[i] = edge_slice(edge_at(cube, FR)); eposs_source[i] = edge_slice(edge_at(cube, UR)); eposm_source[i] = edge_slice(edge_at(cube, UF)); eofb_source[i] = center_at(cube, F_center)/2; eorl_source[i] = center_at(cube, R_center)/2; eoud_source[i] = center_at(cube, U_center)/2; coud_source[i] = center_at(cube, U_center)/2; cofb_source[i] = center_at(cube, F_center)/2; corl_source[i] = center_at(cube, R_center)/2; } /*TODO: maybe move down*/ /* Compute rotation_niss array, necessary for rotate_via_compose */ for (int r = 0; r != mirror; r++) { concat(rotation_algs[r], rotation_algs[r], rotation_niss[r]); for (int i = len(rotation_algs[r]); rotation_niss[r][i].m != NULLMOVE; i++) rotation_niss[r][i].inverse = true; } /* If I can read tables from file, I stop here */ if (read) if (read_rtables_file()) return; /* Initialize tables */ for (int m = 0; m < NTRANS; m++) { int eparr[12] = {0,0,0,0,0,0,0,0,0,0,0,0}, cparr[8] = {0,0,0,0,0,0,0,0}; CubeArray epcp = { .ep = eparr, .cp = cparr }; cube_to_arrays(apply_alg(rotation_algs[m], (Cube){0}), &epcp, (PieceFilter){.epose=true,.eposs=true,.eposm=true,.cp=true}); for (uint16_t i = 0; i < factorial12/factorial8; i++) { Cube c[3] = { admissible_ep((Cube){ .epose = i}, pf_e), admissible_ep((Cube){ .eposs = i}, pf_s), admissible_ep((Cube){ .eposm = i}, pf_m) }; epose_rtable[m][i]=rotate_via_compose(m,c[epose_source[m]],pf_ep).epose; eposs_rtable[m][i]=rotate_via_compose(m,c[eposs_source[m]],pf_ep).eposs; eposm_rtable[m][i]=rotate_via_compose(m,c[eposm_source[m]],pf_ep).eposm; } for (uint16_t i = 0; i < pow2to11; i++ ) { int eoarr[12]; int_to_sum_zero_array(i, 2, 12, eoarr); apply_permutation(eparr, eoarr, 12); eo_rtable[m][i] = digit_array_to_int(eoarr, 11, 2); } for (uint16_t i = 0; i < pow3to7; i++) { int coarr[12]; int_to_sum_zero_array(i, 3, 8, coarr); apply_permutation(cparr, coarr, 8); co_rtable[m][i] = digit_array_to_int(coarr, 7, 3); } for (uint16_t i = 0; i < factorial8; i++) cp_rtable[m][i] = rotate_via_compose(m, (Cube){.cp=i}, pf_cp).cp; for (uint16_t i = 0; i < factorial6; i++) cpos_rtable[m][i] = rotate_via_compose(m, (Cube){.cpos=i}, pf_cpos).cpos; for (Move i = 0; i < NMOVES; i++) { Cube aux = transform_cube(m, move_cube(i, (Cube){0})); for (Move move = 0; move < NMOVES; move++) if (is_solved(move_cube(inverse[move], aux))) moves_rtable[m][i] = move; } } if (write) if (!write_rtables_file()) printf("Error in writing rtables: file not writable\n"); } Cube transform_cube(Transformation t, Cube cube) { Cube transformed = {0}; uint16_t aux_epos[3] = { cube.epose, cube.eposs, cube.eposm }, aux_eo[3] = { cube.eoud, cube.eorl, cube.eofb }, aux_co[3] = { cube.coud, cube.corl, cube.cofb }; transformed.epose = epose_rtable[t][aux_epos[epose_source[t]]]; transformed.eposs = eposs_rtable[t][aux_epos[eposs_source[t]]]; transformed.eposm = eposm_rtable[t][aux_epos[eposm_source[t]]]; transformed.eofb = eo_rtable[t][aux_eo[eofb_source[t]]]; transformed.eorl = eo_rtable[t][aux_eo[eorl_source[t]]]; transformed.eoud = eo_rtable[t][aux_eo[eoud_source[t]]]; transformed.coud = co_rtable[t][aux_co[coud_source[t]]]; transformed.corl = co_rtable[t][aux_co[corl_source[t]]]; transformed.cofb = co_rtable[t][aux_co[cofb_source[t]]]; transformed.cp = cp_rtable[t][cube.cp]; transformed.cpos = cpos_rtable[t][cube.cpos]; return transformed; } void transform_alg(Transformation t, NissMove *alg) { for (int i = 0; alg[i].m; i++) alg[i].m = moves_rtable[t][alg[i].m]; }