#include #include #include #ifdef CUBE_AVX2 #include #endif #ifdef DEBUG #include #endif #include "cube.h" #include "_constants.c" cube_arr_t solvedcube_arr = { .c = {0, 1, 2, 3, 4, 5, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0}, .e = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 0, 0, 0} }; cube_arr_t zerocube_arr = { .e = {0}, .c = {0} }; #ifdef CUBE_AVX2 #define setsolved(cube) cube = _mm256_loadu_si256((__m256i_u *)&solvedcube_arr) #define setzero(cube) cube = _mm256_setzero_si256() #define _c _mm256_set_epi64x(0, 0, 0, 0xFF) #define _e _mm256_set_epi64x(0, 0xFF, 0, 0) /* TODO: in the next 4 macros, all 0 should be i, but must be constant! */ #define get_edge(cube, i) _mm256_extract_epi8(cube, 0+16) #define get_corner(cube, i) _mm256_extract_epi8(cube, 0) #define set_edge(cube, i, p) _mm256_or_si256( \ _mm256_andnot_si256(cube, _mm256_slli_si256(_e, 0)), \ _mm256_and_si256(_mm256_set1_epi8(p), _mm256_slli_si256(_e, 0))) #define set_corner(cube, i, p) _mm256_or_si256( \ _mm256_andnot_si256(cube, _mm256_slli_si256(_c, 0)), \ _mm256_and_si256(_mm256_set1_epi8(p), _mm256_slli_si256(_c, 0))) #else #define setsolved(cube) cube = solvedcube_arr #define setzero(cube) cube = zerocube_arr #define _c _mm256_set_epi64x(0, 0, 0, 0xFF) #define get_edge(cube, i) (cube).e[(i)] #define get_corner(cube, i) (cube).c[(i)] #define set_edge(cube, i, p) (cube).e[(i)] = (p) #define set_corner(cube, i, p) (cube).c[(i)] = (p) #endif static bool isconsistent(cube_t); static cube_t flipallcorners(cube_t); static uint8_t readco(char *); static uint8_t readcp(char *); static uint8_t readeo(char *); static uint8_t readep(char *); static uint8_t readmove(char); static uint8_t readmodifier(char); static cube_t readcube_H48(char *); static void writecube_H48(cube_t, char *); static int writepiece_SRC(uint8_t, char *); static void writecube_SRC(cube_t, char *); static int permsign(uint8_t *, int); cube_t solvedcube(void) { cube_t solved; setsolved(solved); return solved; } cube_t zerocube(void) { cube_t solved; setzero(solved); return solved; } static uint8_t readco(char *str) { if (*str == '0') return 0; if (*str == '1') return _ctwist_cw; if (*str == '2') return _ctwist_ccw; #ifdef DEBUG fprintf(stderr, "Error reading CO\n"); #endif return _error; } static uint8_t readcp(char *str) { uint8_t c; for (c = 0; c < 8; c++) if (!strncmp(str, cornerstr[c], 3) || !strncmp(str, cornerstralt[c], 3)) return c; #ifdef DEBUG fprintf(stderr, "Error reading CP\n"); #endif return _error; } static uint8_t readeo(char *str) { if (*str == '0') return 0; if (*str == '1') return _eflip; #ifdef DEBUG fprintf(stderr, "Error reading EO\n"); #endif return _error; } static uint8_t readep(char *str) { uint8_t e; for (e = 0; e < 12; e++) if (!strncmp(str, edgestr[e], 2)) return e; #ifdef DEBUG fprintf(stderr, "Error reading EP\n"); #endif return _error; } static cube_t readcube_H48(char *buf) { int i; uint8_t piece, orient; cube_t ret, err; char *b; setzero(ret); setzero(err); b = buf; for (i = 0; i < 12; i++) { while (*b == ' ' || *b == '\t' || *b == '\n') b++; if ((piece = readep(b)) == _error) return err; b += 2; if ((orient = readeo(b)) == _error) return err; b++; set_edge(ret, i, piece | orient); } for (i = 0; i < 8; i++) { while (*b == ' ' || *b == '\t' || *b == '\n') b++; if ((piece = readcp(b)) == _error) return err; b += 3; if ((orient = readco(b)) == _error) return err; b++; set_corner(ret, i, piece | orient); } return ret; } cube_t readcube(format_t format, char *buf) { cube_t ret; switch (format) { case H48: ret = readcube_H48(buf); break; default: #ifdef DEBUG fprintf(stderr, "Cannot read cube in the given format\n"); #endif setzero(ret); } #ifdef DEBUG if (iserror(ret)) fprintf(stderr, "readcube error\n"); #endif return ret; } static void writecube_H48(cube_t cube, char *buf) { uint8_t piece, perm, orient; int i; for (i = 0; i < 12; i++) { piece = get_edge(cube, i); perm = piece & _pbits; orient = (piece & _eobit) >> _eoshift; buf[4*i ] = edgestr[perm][0]; buf[4*i + 1] = edgestr[perm][1]; buf[4*i + 2] = orient + '0'; buf[4*i + 3] = ' '; } for (i = 0; i < 8; i++) { piece = get_corner(cube, i); perm = piece & _pbits; orient = (piece & _cobits) >> _coshift; buf[48 + 5*i ] = cornerstr[perm][0]; buf[48 + 5*i + 1] = cornerstr[perm][1]; buf[48 + 5*i + 2] = cornerstr[perm][2]; buf[48 + 5*i + 3] = orient + '0'; buf[48 + 5*i + 4] = ' '; } buf[48+39] = '\0'; } static int writepiece_SRC(uint8_t piece, char *buf) { char digits[3]; int i, len = 0; while (piece != 0) { digits[len++] = (piece % 10) + '0'; piece /= 10; } if (len == 0) digits[len++] = '0'; for (i = 0; i < len; i++) buf[i] = digits[len-i-1]; buf[len] = ','; buf[len+1] = ' '; return len+2; } static void writecube_SRC(cube_t cube, char *buf) { int i, ptr; uint8_t piece; memcpy(buf, "{\n\t.c = {", 9); ptr = 9; for (i = 0; i < 8; i++) { piece = get_corner(cube, i); ptr += writepiece_SRC(piece, buf + ptr); } memcpy(buf+ptr-2, "},\n\t.e = {", 10); ptr += 8; for (i = 0; i < 12; i++) { piece = get_edge(cube, i); ptr += writepiece_SRC(piece, buf + ptr); } memcpy(buf+ptr-2, "}\n}\0", 4); } void writecube(format_t format, cube_t cube, char *buf) { char *errormsg; size_t len; if (!isconsistent(cube)) { errormsg = "ERROR: cannot write inconsistent cube"; goto writecube_error; } switch (format) { case H48: writecube_H48(cube, buf); break; case SRC: writecube_SRC(cube, buf); break; default: errormsg = "ERROR: cannot write cube in the given format"; goto writecube_error; } return; writecube_error: #ifdef DEBUG fprintf(stderr, "writecube error, see stdout for details\n"); #endif len = strlen(errormsg); memcpy(buf, errormsg, len); buf[len] = '\n'; buf[len+1] = '\0'; } static uint8_t readmove(char c) { switch (c) { case 'U': return U; case 'D': return D; case 'R': return R; case 'L': return L; case 'F': return F; case 'B': return B; default: return _error; } } static uint8_t readmodifier(char c) { switch (c) { case '1': /* Fallthrough */ case '2': /* Fallthrough */ case '3': return c - '0' - 1; case '\'': return 2; default: return 0; } } int readmoves(char *buf, move_t *m) { int n; uint64_t r; char *b; for (b = buf, n = 0; *b != '\0'; b++) { while (*b == ' ' || *b == '\t' || *b == '\n') b++; if (*b == '\0') return n; if ((r = readmove(*b)) == _error) goto readmoves_error; m[n] = (move_t)r; if ((r = readmodifier(*(b+1))) != 0) { b++; m[n] += r; } n++; } return n; readmoves_error: #ifdef DEBUG fprintf(stderr, "readmoves error\n"); #endif return -1; } trans_t readtrans(char *buf) { uint8_t t; for (t = 0; t < 48; t++) if (!strncmp(buf, transstr[t], 11)) return t; #ifdef DEBUG fprintf(stderr, "readtrans error\n"); #endif return errortrans; } void writemoves(move_t *m, int n, char *buf) { int i; size_t len; char *b, *s; for (i = 0, b = buf; i < n; i++, b++) { s = movestr[m[i]]; len = strlen(s); memcpy(b, s, len); b += len; *b = ' '; } *b = '\0'; } void writetrans(trans_t t, char *buf) { if (t >= 48) memcpy(buf, "error trans", 11); else memcpy(buf, transstr[t], 11); buf[11] = '\0'; } move_t inverse_move(move_t m) { return inverse_move_arr[m]; } trans_t inverse_trans(trans_t t) { return inverse_trans_arr[t]; } static int permsign(uint8_t *a, int n) { int i, j; uint8_t ret = 0; for (i = 0; i < n; i++) for (j = i+1; j < n; j++) ret += a[i] > a[j] ? 1 : 0; return ret % 2; } static bool isconsistent(cube_t c) { uint8_t i, p, e, piece; bool found[12]; for (i = 0; i < 12; i++) found[i] = false; for (i = 0; i < 12; i++) { piece = get_edge(c, i); p = piece & _pbits; e = piece & _eobit; if (p >= 12) goto inconsistent_ep; if (e != 0 && e != _eobit) goto inconsistent_eo; found[p] = true; } for (i = 0; i < 12; i++) if (!found[i]) goto inconsistent_ep; for (i = 0; i < 8; i++) found[i] = false; for (i = 0; i < 8; i++) { piece = get_corner(c, i); p = piece & _pbits; e = piece & _cobits; if (p >= 8) goto inconsistent_cp; if (e != 0 && e != _ctwist_cw && e != _ctwist_ccw) goto inconsistent_co; found[p] = true; } for (i = 0; i < 8; i++) if (!found[i]) goto inconsistent_co; return true; inconsistent_ep: #ifdef DEBUG fprintf(stderr, "Inconsistent EP\n"); #endif return false; inconsistent_cp: #ifdef DEBUG fprintf(stderr, "Inconsistent CP\n"); #endif return false; inconsistent_eo: #ifdef DEBUG fprintf(stderr, "Inconsistent EO\n"); #endif return false; inconsistent_co: #ifdef DEBUG fprintf(stderr, "Inconsistent CO\n"); #endif return false; } bool issolvable(cube_t cube) { uint8_t i, eo, co, piece, e[12], c[8]; #ifdef DEBUG if (!isconsistent(cube)) { fprintf(stderr, "issolvable: cube is inconsistent\n"); return false; } #endif for (i = 0; i < 12; i++) e[i] = get_edge(cube, i) & _pbits; for (i = 0; i < 8; i++) c[i] = get_corner(cube, i) & _pbits; if (permsign(e, 12) != permsign(c, 8)) goto issolvable_parity; eo = 0; for (i = 0; i < 12; i++) { piece = get_edge(cube, i); eo += (piece & _eobit) >> _eoshift; } if (eo % 2 != 0) goto issolvable_eo; co = 0; for (i = 0; i < 8; i++) { piece = get_corner(cube, i); co += (piece & _cobits) >> _coshift; } if (co % 3 != 0) goto issolvable_co; return true; issolvable_parity: #ifdef DEBUG fprintf(stderr, "EP and CP parities are different\n"); #endif return false; issolvable_eo: #ifdef DEBUG fprintf(stderr, "Odd number of flipped edges\n"); #endif return false; issolvable_co: #ifdef DEBUG fprintf(stderr, "Sum of corner orientation is not multiple of 3\n"); #endif return false; } bool equal(cube_t cube1, cube_t cube2) { #ifdef CUBE_AVX2 uint32_t mask; __m256i cmp; cmp = _mm256_cmpeq_epi8(cube1, cube2); mask = _mm256_movemask_epi8(cmp); return mask == 0xffffffffU; #else uint8_t i; for (i = 0; i < 12; i++) if (cube1.e[i] != cube2.e[i]) return false; for (i = 0; i < 8; i++) if (cube1.c[i] != cube2.c[i]) return false; return true; #endif } bool issolved(cube_t cube) { cube_t solved; setsolved(solved); return equal(cube, solved); } bool iserror(cube_t cube) { cube_t err; setzero(err); return equal(cube, err); } cube_t move(cube_t c, move_t m) { cube_t err; #ifdef DEBUG if (!isconsistent(c)) { fprintf(stderr, "move error, inconsistent cube\n"); goto move_error; } #endif #ifdef CUBE_AVX2 #include "_move_logic_avx2.c" #else #include "_move_logic_arr.c" #endif move_error: setzero(err); return err; } cube_t inverse(cube_t c) { /* TODO: optimize for avx2 */ uint8_t i, piece, orien; cube_t ret; setzero(ret); #ifdef DEBUG if (!isconsistent(c)) { fprintf(stderr, "inverse error, inconsistent cube\n"); return ret; } #endif for (i = 0; i < 12; i++) { piece = get_edge(c, i); orien = piece & _eobit; set_edge(ret, piece & _pbits, i | orien); } for (i = 0; i < 8; i++) { piece = get_corner(c, i); orien = ((piece << 1) | (piece >> 1)) & _cobits2; set_corner(ret, piece & _pbits, i | orien); } return ret; } cube_t compose(cube_t c1, cube_t c2) { /* TODO: optimize for avx2 */ uint8_t i, piece1, piece2, p, orien, aux, auy; cube_t ret; setzero(ret); #ifdef DEBUG if (!isconsistent(c1) || !isconsistent(c2)) { fprintf(stderr, "compose error, inconsistent cube\n"); return ret; } #endif for (i = 0; i < 12; i++) { piece2 = get_edge(c2, i); p = piece2 & _pbits; piece1 = get_edge(c1, p); orien = (piece2 ^ piece1) & _eobit; set_edge(ret, i, (piece1 & _pbits) | orien); } for (i = 0; i < 8; i++) { piece2 = get_corner(c2, i); p = piece2 & _pbits; piece1 = get_corner(c1, p); aux = (piece2 & _cobits) + (piece1 & _cobits); auy = (aux + _ctwist_cw) >> 2U; orien = (aux + auy) & _cobits2; set_corner(ret, i, (piece1 & _pbits) | orien); } return ret; } static cube_t flipallcorners(cube_t c) { /* TODO: optimize for avx2, can be a couple of instructions */ uint8_t i, piece, orien; cube_t ret; ret = c; for (i = 0; i < 8; i++) { piece = get_corner(c, i); orien = ((piece << 1) | (piece >> 1)) & _cobits2; set_corner(ret, i, (piece & _pbits) | orien); } return ret; } cube_t transform(cube_t c, trans_t t) { cube_t ret, solved; #ifdef DEBUG setzero(ret); if (!isconsistent(c)) { fprintf(stderr, "transform error, inconsistent cube\n"); return ret; } if (t >= 48) { fprintf(stderr, "transform error, unknown transformation\n"); return ret; } #endif #ifdef CUBE_AVX2 #include "_trans_move_avx2.c" #else #include "_trans_move_arr.c" #endif setsolved(solved); ret = compose(solved, trans_move_cube[t]); ret = compose(ret, c); ret = compose(ret, trans_move_cube_inverse[t]); /* TODO: work out a better way to do this */ if (t >= 24) ret = flipallcorners(ret); return ret; }