portable.h (7953B)
1 #define STATIC_CUBE(c_ufr, c_ubl, c_dfl, c_dbr, c_ufl, c_ubr, c_dfr, c_dbl, \ 2 e_uf, e_ub, e_db, e_df, e_ur, e_ul, e_dl, e_dr, e_fr, e_fl, e_bl, e_br) \ 3 ((cube_t) { \ 4 .corner = { c_ufr, c_ubl, c_dfl, c_dbr, c_ufl, c_ubr, c_dfr, c_dbl }, \ 5 .edge = { e_uf, e_ub, e_db, e_df, e_ur, e_ul, \ 6 e_dl, e_dr, e_fr, e_fl, e_bl, e_br } }) 7 #define ZERO_CUBE STATIC_CUBE( \ 8 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0) 9 #define SOLVED_CUBE STATIC_CUBE( \ 10 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11) 11 12 STATIC_INLINE int 13 popcount_u32(uint32_t x) 14 { 15 /* 16 Bit trick: accumulate in pairs of bits, quads of bits and so on, 17 until the final result is the sum of all bits. 18 19 x = (x & 0x55555555) + ((x >> 1) & 0x55555555); 20 x = (x & 0x33333333) + ((x >> 2) & 0x33333333); 21 x = (x & 0x0F0F0F0F) + ((x >> 4) & 0x0F0F0F0F); 22 x = (x & 0x00FF00FF) + ((x >> 8) & 0x00FF00FF); 23 x = (x & 0x0000FFFF) + ((x >> 16) & 0x0000FFFF); 24 25 The actual method we use is a small optimization of the one above. 26 */ 27 28 x -= (x >> UINT32_C(1)) & UINT32_C(0x55555555); 29 x = (x & UINT32_C(0x33333333)) + 30 ((x >> UINT32_C(2)) & UINT32_C(0x33333333)); 31 x = (x + (x >> UINT32_C(4))) & UINT32_C(0x0F0F0F0F); 32 x = (x * UINT32_C(0x01010101)) >> UINT32_C(24); 33 34 return (int)x; 35 } 36 37 STATIC void 38 pieces(cube_t cube[static 1], uint8_t c[static 8], uint8_t e[static 12]) 39 { 40 memcpy(c, cube->corner, 8); 41 memcpy(e, cube->edge, 12); 42 } 43 44 STATIC_INLINE bool 45 equal(cube_t c1, cube_t c2) 46 { 47 uint8_t i; 48 bool ret; 49 50 ret = true; 51 for (i = 0; i < 8; i++) 52 ret = ret && c1.corner[i] == c2.corner[i]; 53 for (i = 0; i < 12; i++) 54 ret = ret && c1.edge[i] == c2.edge[i]; 55 56 return ret; 57 } 58 59 STATIC_INLINE cube_t 60 invertco(cube_t c) 61 { 62 uint8_t i, piece, orien; 63 cube_t ret; 64 65 ret = c; 66 for (i = 0; i < 8; i++) { 67 piece = c.corner[i]; 68 orien = ((piece << 1) | (piece >> 1)) & COBITS_2; 69 ret.corner[i] = (piece & PBITS) | orien; 70 } 71 72 return ret; 73 } 74 75 STATIC_INLINE void 76 compose_edges_inplace(cube_t c1, cube_t c2, cube_t *ret) 77 { 78 uint8_t i, piece1, piece2, p, orien; 79 80 for (i = 0; i < 12; i++) { 81 piece2 = c2.edge[i]; 82 p = piece2 & PBITS; 83 piece1 = c1.edge[p]; 84 orien = (piece2 ^ piece1) & EOBIT; 85 ret->edge[i] = (piece1 & PBITS) | orien; 86 } 87 } 88 89 STATIC_INLINE void 90 compose_corners_inplace(cube_t c1, cube_t c2, cube_t *ret) 91 { 92 uint8_t i, piece1, piece2, p, orien, aux, auy; 93 94 for (i = 0; i < 8; i++) { 95 piece2 = c2.corner[i]; 96 p = piece2 & PBITS; 97 piece1 = c1.corner[p]; 98 aux = (piece2 & COBITS) + (piece1 & COBITS); 99 auy = (aux + CTWIST_CW) >> 2; 100 orien = (aux + auy) & COBITS_2; 101 ret->corner[i] = (piece1 & PBITS) | orien; 102 } 103 } 104 105 STATIC_INLINE cube_t 106 compose_edges(cube_t c1, cube_t c2) 107 { 108 cube_t ret = ZERO_CUBE; 109 110 compose_edges_inplace(c1, c2, &ret); 111 112 return ret; 113 } 114 115 STATIC_INLINE cube_t 116 compose_corners(cube_t c1, cube_t c2) 117 { 118 cube_t ret = ZERO_CUBE; 119 120 compose_corners_inplace(c1, c2, &ret); 121 122 return ret; 123 } 124 125 STATIC_INLINE cube_t 126 compose(cube_t c1, cube_t c2) 127 { 128 cube_t ret = ZERO_CUBE; 129 130 compose_edges_inplace(c1, c2, &ret); 131 compose_corners_inplace(c1, c2, &ret); 132 133 return ret; 134 } 135 136 cube_t 137 inverse(cube_t cube) 138 { 139 uint8_t i, piece, orien; 140 cube_t ret; 141 142 for (i = 0; i < 12; i++) { 143 piece = cube.edge[i]; 144 orien = piece & EOBIT; 145 ret.edge[piece & PBITS] = i | orien; 146 } 147 148 for (i = 0; i < 8; i++) { 149 piece = cube.corner[i]; 150 orien = ((piece << 1) | (piece >> 1)) & COBITS_2; 151 ret.corner[piece & PBITS] = i | orien; 152 } 153 154 return ret; 155 } 156 157 STATIC_INLINE void 158 copy_co(cube_t cube[static 1], cube_t co) 159 { 160 uint8_t c; 161 size_t i; 162 163 for (i = 0; i < 8; i++) { 164 c = cube->corner[i] & COBITS; 165 cube->corner[i] ^= c; 166 cube->corner[i] |= co.corner[i] & COBITS; 167 } 168 } 169 170 STATIC_INLINE uint64_t 171 coord_co(cube_t c) 172 { 173 int i, p, ret; 174 175 for (ret = 0, i = 0, p = 1; i < 7; i++, p *= 3) 176 ret += p * (c.corner[i] >> COSHIFT); 177 178 return ret; 179 } 180 181 STATIC_INLINE cube_t 182 invcoord_co(uint64_t coord) 183 { 184 uint64_t i, c, p; 185 cube_t cube; 186 187 cube = SOLVED_CUBE; 188 for (i = 0, p = 0, c = coord; i < 7; i++, c /= 3) { 189 p += c % 3; 190 cube.corner[i] |= (c % 3) << COSHIFT; 191 } 192 193 cube.corner[7] |= ((3 - (p % 3)) % 3) << COSHIFT; 194 195 return cube; 196 } 197 198 /* 199 For corner separation, we consider the axis (a.k.a. tetrad) each 200 corner belongs to as 0 or 1 and we translate this sequence into binary. 201 Ignoring the last bit, we have a value up to 2^7, but not all values are 202 possible. Encoding this as a number from 0 to C(8,4) would save about 40% 203 of space, but we are not going to use this coordinate in large tables. 204 */ 205 STATIC_INLINE uint64_t 206 coord_csep(cube_t c) 207 { 208 int i, p; 209 uint64_t ret; 210 211 for (ret = 0, i = 0, p = 1; i < 7; i++, p *= 2) 212 ret += p * ((c.corner[i] & CSEPBIT) >> 2); 213 214 return ret; 215 } 216 217 STATIC_INLINE uint64_t 218 coord_cocsep(cube_t c) 219 { 220 return (coord_co(c) << 7) + coord_csep(c); 221 } 222 223 STATIC_INLINE uint64_t 224 coord_eo(cube_t c) 225 { 226 int i, p; 227 uint64_t ret; 228 229 for (ret = 0, i = 1, p = 1; i < 12; i++, p *= 2) 230 ret += p * (c.edge[i] >> EOSHIFT); 231 232 return ret; 233 } 234 235 /* 236 We encode the edge separation as a number from 0 to C(12,4)*C(8,4). 237 It can be seen as the composition of two "subset index" coordinates. 238 */ 239 STATIC_INLINE uint64_t 240 coord_esep(cube_t c) 241 { 242 uint64_t i, j, jj, k, l, ret1, ret2, bit1, bit2, is1; 243 244 for (i = 0, j = 0, k = 4, l = 4, ret1 = 0, ret2 = 0; i < 12; i++) { 245 /* Simple version: 246 if (c.edge[i] & ESEPBIT_2) { 247 ret1 += binomial[11-i][k--]; 248 } else { 249 if (c.edge[i] & ESEPBIT_1) 250 ret2 += binomial[7-j][l--]; 251 j++; 252 } 253 */ 254 255 bit1 = (c.edge[i] & ESEPBIT_1) >> 2; 256 bit2 = (c.edge[i] & ESEPBIT_2) >> 3; 257 is1 = (1 - bit2) * bit1; 258 259 ret1 += bit2 * binomial[11-i][k]; 260 k -= bit2; 261 262 jj = j < 8; 263 ret2 += jj * is1 * binomial[7-(j*jj)][l]; 264 l -= is1; 265 j += (1-bit2); 266 } 267 268 return ret1 * 70 + ret2; 269 } 270 271 STATIC_INLINE cube_t 272 invcoord_esep(uint64_t esep) 273 { 274 cube_t ret; 275 276 ret = SOLVED_CUBE; 277 invcoord_esep_array(esep % 70, esep / 70, ret.edge); 278 279 return ret; 280 } 281 282 STATIC_INLINE void 283 copy_corners(cube_t dest[static 1], cube_t src) 284 { 285 memcpy(&dest->corner, src.corner, sizeof(src.corner)); 286 } 287 288 STATIC_INLINE void 289 copy_edges(cube_t dest[static 1], cube_t src) 290 { 291 memcpy(&dest->edge, src.edge, sizeof(src.edge)); 292 } 293 294 STATIC_INLINE void 295 set_eo(cube_t cube[static 1], uint64_t eo) 296 { 297 uint8_t i, sum, flip; 298 299 for (sum = 0, i = 1; i < 12; i++, eo >>= 1) { 300 flip = eo % 2; 301 sum += flip; 302 cube->edge[i] = (cube->edge[i] & ~EOBIT) | (EOBIT * flip); 303 } 304 cube->edge[0] = (cube->edge[0] & ~EOBIT) | (EOBIT * (sum % 2)); 305 } 306 307 STATIC_INLINE uint64_t 308 coord_cp(cube_t cube) 309 { 310 int i; 311 312 for (i = 0; i < 8; i++) 313 cube.corner[i] &= PBITS; 314 315 return permtoindex(8, cube.corner); 316 } 317 318 STATIC_INLINE cube_t 319 invcoord_cp(uint64_t i) 320 { 321 uint8_t c[8]; 322 323 indextoperm(i, 8, c); 324 325 return STATIC_CUBE(c[0], c[1], c[2], c[3], c[4], c[5], c[6], c[7], 326 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11); 327 } 328 329 STATIC_INLINE uint64_t 330 coord_epud(cube_t cube) 331 { 332 int i; 333 334 for (i = 0; i < 8; i++) 335 cube.edge[i] &= PBITS; 336 337 return permtoindex(8, cube.edge); 338 } 339 340 STATIC_INLINE cube_t 341 invcoord_epud(uint64_t i) 342 { 343 uint8_t e[8]; 344 345 indextoperm(i, 8, e); 346 347 return STATIC_CUBE(0, 1, 2, 3, 4, 5, 6, 7, 348 e[0], e[1], e[2], e[3], e[4], e[5], e[6], e[7], 8, 9, 10, 11); 349 } 350 351 STATIC_INLINE uint64_t 352 coord_epe(cube_t cube) 353 { 354 int i; 355 356 for (i = 8; i < 12; i++) 357 cube.edge[i] = (cube.edge[i] & PBITS) - 8; 358 359 return permtoindex(4, cube.edge+8); 360 } 361 362 STATIC_INLINE cube_t 363 invcoord_epe(uint64_t i) 364 { 365 uint8_t e[4]; 366 367 indextoperm(i, 4, e); 368 369 return STATIC_CUBE(0, 1, 2, 3, 4, 5, 6, 7, 370 0, 1, 2, 3, 4, 5, 6, 7, e[0]+8, e[1]+8, e[2]+8, e[3]+8); 371 } 372 373 STATIC_INLINE bool 374 is_eo_even(cube_t cube) 375 { 376 uint8_t i, count; 377 378 for (i = 0, count = 0; i < 12; i++) 379 count += (cube.edge[i] & EOBIT) >> EOSHIFT; 380 381 return count % 2 == 0; 382 } 383 384 STATIC_INLINE uint64_t 385 coord_epudsep(cube_t cube) 386 { 387 return coord_epudsep_array(cube.edge); 388 } 389 390 STATIC_INLINE cube_t 391 invcoord_epudsep(uint64_t c) 392 { 393 cube_t ret; 394 395 ret = SOLVED_CUBE; 396 invcoord_epudsep_array(c, ret.edge); 397 return ret; 398 }