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#define TRANS_EDGES_ROTATION(T, c) \
compose_edges(compose_edges(TRANS_CUBE_ ## T, c), \
TRANS_CUBE_ ## T ## _INVERSE)
#define TRANS_EDGES_MIRRORED(T, c) TRANS_EDGES_ROTATION(T, c)
#define TRANS_CORNERS_ROTATION(T, c) \
compose_corners(compose_corners(TRANS_CUBE_ ## T, c), \
TRANS_CUBE_ ## T ## _INVERSE)
#define TRANS_CORNERS_MIRRORED(T, c) \
invertco(compose_corners( \
compose_corners(TRANS_CUBE_ ## T, c), TRANS_CUBE_ ## T ## _INVERSE))
#define TRANS_ROTATION(T, c) \
compose(compose(TRANS_CUBE_ ## T, c), \
TRANS_CUBE_ ## T ## _INVERSE)
#define TRANS_MIRRORED(T, c) \
invertco(compose(compose(TRANS_CUBE_ ## T, c), \
TRANS_CUBE_ ## T ## _INVERSE))
STATIC cube_t transform_edges(cube_t, uint8_t);
STATIC cube_t transform_corners(cube_t, uint8_t);
STATIC cube_t transform(cube_t, uint8_t);
STATIC cube_t applytrans(cube_t, const char *);
STATIC_INLINE uint8_t inverse_trans(uint8_t);
STATIC uint8_t transform_move(uint8_t, uint8_t);
STATIC uint64_t symmetry_mask(cube_t);
STATIC cube_t
transform_edges(cube_t c, uint8_t t)
{
switch (t) {
case TRANS_UFr:
return c;
case TRANS_ULr:
return TRANS_EDGES_ROTATION(ULr, c);
case TRANS_UBr:
return TRANS_EDGES_ROTATION(UBr, c);
case TRANS_URr:
return TRANS_EDGES_ROTATION(URr, c);
case TRANS_DFr:
return TRANS_EDGES_ROTATION(DFr, c);
case TRANS_DLr:
return TRANS_EDGES_ROTATION(DLr, c);
case TRANS_DBr:
return TRANS_EDGES_ROTATION(DBr, c);
case TRANS_DRr:
return TRANS_EDGES_ROTATION(DRr, c);
case TRANS_RUr:
return TRANS_EDGES_ROTATION(RUr, c);
case TRANS_RFr:
return TRANS_EDGES_ROTATION(RFr, c);
case TRANS_RDr:
return TRANS_EDGES_ROTATION(RDr, c);
case TRANS_RBr:
return TRANS_EDGES_ROTATION(RBr, c);
case TRANS_LUr:
return TRANS_EDGES_ROTATION(LUr, c);
case TRANS_LFr:
return TRANS_EDGES_ROTATION(LFr, c);
case TRANS_LDr:
return TRANS_EDGES_ROTATION(LDr, c);
case TRANS_LBr:
return TRANS_EDGES_ROTATION(LBr, c);
case TRANS_FUr:
return TRANS_EDGES_ROTATION(FUr, c);
case TRANS_FRr:
return TRANS_EDGES_ROTATION(FRr, c);
case TRANS_FDr:
return TRANS_EDGES_ROTATION(FDr, c);
case TRANS_FLr:
return TRANS_EDGES_ROTATION(FLr, c);
case TRANS_BUr:
return TRANS_EDGES_ROTATION(BUr, c);
case TRANS_BRr:
return TRANS_EDGES_ROTATION(BRr, c);
case TRANS_BDr:
return TRANS_EDGES_ROTATION(BDr, c);
case TRANS_BLr:
return TRANS_EDGES_ROTATION(BLr, c);
case TRANS_UFm:
return TRANS_EDGES_MIRRORED(UFm, c);
case TRANS_ULm:
return TRANS_EDGES_MIRRORED(ULm, c);
case TRANS_UBm:
return TRANS_EDGES_MIRRORED(UBm, c);
case TRANS_URm:
return TRANS_EDGES_MIRRORED(URm, c);
case TRANS_DFm:
return TRANS_EDGES_MIRRORED(DFm, c);
case TRANS_DLm:
return TRANS_EDGES_MIRRORED(DLm, c);
case TRANS_DBm:
return TRANS_EDGES_MIRRORED(DBm, c);
case TRANS_DRm:
return TRANS_EDGES_MIRRORED(DRm, c);
case TRANS_RUm:
return TRANS_EDGES_MIRRORED(RUm, c);
case TRANS_RFm:
return TRANS_EDGES_MIRRORED(RFm, c);
case TRANS_RDm:
return TRANS_EDGES_MIRRORED(RDm, c);
case TRANS_RBm:
return TRANS_EDGES_MIRRORED(RBm, c);
case TRANS_LUm:
return TRANS_EDGES_MIRRORED(LUm, c);
case TRANS_LFm:
return TRANS_EDGES_MIRRORED(LFm, c);
case TRANS_LDm:
return TRANS_EDGES_MIRRORED(LDm, c);
case TRANS_LBm:
return TRANS_EDGES_MIRRORED(LBm, c);
case TRANS_FUm:
return TRANS_EDGES_MIRRORED(FUm, c);
case TRANS_FRm:
return TRANS_EDGES_MIRRORED(FRm, c);
case TRANS_FDm:
return TRANS_EDGES_MIRRORED(FDm, c);
case TRANS_FLm:
return TRANS_EDGES_MIRRORED(FLm, c);
case TRANS_BUm:
return TRANS_EDGES_MIRRORED(BUm, c);
case TRANS_BRm:
return TRANS_EDGES_MIRRORED(BRm, c);
case TRANS_BDm:
return TRANS_EDGES_MIRRORED(BDm, c);
case TRANS_BLm:
return TRANS_EDGES_MIRRORED(BLm, c);
default:
LOG("transform error: unknown transformation %" PRIu8 "\n", t);
return ZERO_CUBE;
}
}
STATIC cube_t
transform_corners(cube_t c, uint8_t t)
{
switch (t) {
case TRANS_UFr:
return c;
case TRANS_ULr:
return TRANS_CORNERS_ROTATION(ULr, c);
case TRANS_UBr:
return TRANS_CORNERS_ROTATION(UBr, c);
case TRANS_URr:
return TRANS_CORNERS_ROTATION(URr, c);
case TRANS_DFr:
return TRANS_CORNERS_ROTATION(DFr, c);
case TRANS_DLr:
return TRANS_CORNERS_ROTATION(DLr, c);
case TRANS_DBr:
return TRANS_CORNERS_ROTATION(DBr, c);
case TRANS_DRr:
return TRANS_CORNERS_ROTATION(DRr, c);
case TRANS_RUr:
return TRANS_CORNERS_ROTATION(RUr, c);
case TRANS_RFr:
return TRANS_CORNERS_ROTATION(RFr, c);
case TRANS_RDr:
return TRANS_CORNERS_ROTATION(RDr, c);
case TRANS_RBr:
return TRANS_CORNERS_ROTATION(RBr, c);
case TRANS_LUr:
return TRANS_CORNERS_ROTATION(LUr, c);
case TRANS_LFr:
return TRANS_CORNERS_ROTATION(LFr, c);
case TRANS_LDr:
return TRANS_CORNERS_ROTATION(LDr, c);
case TRANS_LBr:
return TRANS_CORNERS_ROTATION(LBr, c);
case TRANS_FUr:
return TRANS_CORNERS_ROTATION(FUr, c);
case TRANS_FRr:
return TRANS_CORNERS_ROTATION(FRr, c);
case TRANS_FDr:
return TRANS_CORNERS_ROTATION(FDr, c);
case TRANS_FLr:
return TRANS_CORNERS_ROTATION(FLr, c);
case TRANS_BUr:
return TRANS_CORNERS_ROTATION(BUr, c);
case TRANS_BRr:
return TRANS_CORNERS_ROTATION(BRr, c);
case TRANS_BDr:
return TRANS_CORNERS_ROTATION(BDr, c);
case TRANS_BLr:
return TRANS_CORNERS_ROTATION(BLr, c);
case TRANS_UFm:
return TRANS_CORNERS_MIRRORED(UFm, c);
case TRANS_ULm:
return TRANS_CORNERS_MIRRORED(ULm, c);
case TRANS_UBm:
return TRANS_CORNERS_MIRRORED(UBm, c);
case TRANS_URm:
return TRANS_CORNERS_MIRRORED(URm, c);
case TRANS_DFm:
return TRANS_CORNERS_MIRRORED(DFm, c);
case TRANS_DLm:
return TRANS_CORNERS_MIRRORED(DLm, c);
case TRANS_DBm:
return TRANS_CORNERS_MIRRORED(DBm, c);
case TRANS_DRm:
return TRANS_CORNERS_MIRRORED(DRm, c);
case TRANS_RUm:
return TRANS_CORNERS_MIRRORED(RUm, c);
case TRANS_RFm:
return TRANS_CORNERS_MIRRORED(RFm, c);
case TRANS_RDm:
return TRANS_CORNERS_MIRRORED(RDm, c);
case TRANS_RBm:
return TRANS_CORNERS_MIRRORED(RBm, c);
case TRANS_LUm:
return TRANS_CORNERS_MIRRORED(LUm, c);
case TRANS_LFm:
return TRANS_CORNERS_MIRRORED(LFm, c);
case TRANS_LDm:
return TRANS_CORNERS_MIRRORED(LDm, c);
case TRANS_LBm:
return TRANS_CORNERS_MIRRORED(LBm, c);
case TRANS_FUm:
return TRANS_CORNERS_MIRRORED(FUm, c);
case TRANS_FRm:
return TRANS_CORNERS_MIRRORED(FRm, c);
case TRANS_FDm:
return TRANS_CORNERS_MIRRORED(FDm, c);
case TRANS_FLm:
return TRANS_CORNERS_MIRRORED(FLm, c);
case TRANS_BUm:
return TRANS_CORNERS_MIRRORED(BUm, c);
case TRANS_BRm:
return TRANS_CORNERS_MIRRORED(BRm, c);
case TRANS_BDm:
return TRANS_CORNERS_MIRRORED(BDm, c);
case TRANS_BLm:
return TRANS_CORNERS_MIRRORED(BLm, c);
default:
LOG("transform error: unknown transformation %" PRIu8 "\n", t);
return ZERO_CUBE;
}
}
STATIC cube_t
transform(cube_t c, uint8_t t)
{
switch (t) {
case TRANS_UFr:
return c;
case TRANS_ULr:
return TRANS_ROTATION(ULr, c);
case TRANS_UBr:
return TRANS_ROTATION(UBr, c);
case TRANS_URr:
return TRANS_ROTATION(URr, c);
case TRANS_DFr:
return TRANS_ROTATION(DFr, c);
case TRANS_DLr:
return TRANS_ROTATION(DLr, c);
case TRANS_DBr:
return TRANS_ROTATION(DBr, c);
case TRANS_DRr:
return TRANS_ROTATION(DRr, c);
case TRANS_RUr:
return TRANS_ROTATION(RUr, c);
case TRANS_RFr:
return TRANS_ROTATION(RFr, c);
case TRANS_RDr:
return TRANS_ROTATION(RDr, c);
case TRANS_RBr:
return TRANS_ROTATION(RBr, c);
case TRANS_LUr:
return TRANS_ROTATION(LUr, c);
case TRANS_LFr:
return TRANS_ROTATION(LFr, c);
case TRANS_LDr:
return TRANS_ROTATION(LDr, c);
case TRANS_LBr:
return TRANS_ROTATION(LBr, c);
case TRANS_FUr:
return TRANS_ROTATION(FUr, c);
case TRANS_FRr:
return TRANS_ROTATION(FRr, c);
case TRANS_FDr:
return TRANS_ROTATION(FDr, c);
case TRANS_FLr:
return TRANS_ROTATION(FLr, c);
case TRANS_BUr:
return TRANS_ROTATION(BUr, c);
case TRANS_BRr:
return TRANS_ROTATION(BRr, c);
case TRANS_BDr:
return TRANS_ROTATION(BDr, c);
case TRANS_BLr:
return TRANS_ROTATION(BLr, c);
case TRANS_UFm:
return TRANS_MIRRORED(UFm, c);
case TRANS_ULm:
return TRANS_MIRRORED(ULm, c);
case TRANS_UBm:
return TRANS_MIRRORED(UBm, c);
case TRANS_URm:
return TRANS_MIRRORED(URm, c);
case TRANS_DFm:
return TRANS_MIRRORED(DFm, c);
case TRANS_DLm:
return TRANS_MIRRORED(DLm, c);
case TRANS_DBm:
return TRANS_MIRRORED(DBm, c);
case TRANS_DRm:
return TRANS_MIRRORED(DRm, c);
case TRANS_RUm:
return TRANS_MIRRORED(RUm, c);
case TRANS_RFm:
return TRANS_MIRRORED(RFm, c);
case TRANS_RDm:
return TRANS_MIRRORED(RDm, c);
case TRANS_RBm:
return TRANS_MIRRORED(RBm, c);
case TRANS_LUm:
return TRANS_MIRRORED(LUm, c);
case TRANS_LFm:
return TRANS_MIRRORED(LFm, c);
case TRANS_LDm:
return TRANS_MIRRORED(LDm, c);
case TRANS_LBm:
return TRANS_MIRRORED(LBm, c);
case TRANS_FUm:
return TRANS_MIRRORED(FUm, c);
case TRANS_FRm:
return TRANS_MIRRORED(FRm, c);
case TRANS_FDm:
return TRANS_MIRRORED(FDm, c);
case TRANS_FLm:
return TRANS_MIRRORED(FLm, c);
case TRANS_BUm:
return TRANS_MIRRORED(BUm, c);
case TRANS_BRm:
return TRANS_MIRRORED(BRm, c);
case TRANS_BDm:
return TRANS_MIRRORED(BDm, c);
case TRANS_BLm:
return TRANS_MIRRORED(BLm, c);
default:
return ZERO_CUBE;
}
}
STATIC cube_t
applytrans(cube_t cube, const char *buf)
{
uint8_t t;
DBG_ASSERT(isconsistent(cube), ZERO_CUBE,
"transformation error: inconsistent cube\n");
t = readtrans(buf);
if (t == UINT8_ERROR)
LOG("Unknown transformation: %s\n", buf);
return transform(cube, t);
}
STATIC_INLINE uint8_t
inverse_trans(uint8_t t)
{
return inverse_trans_table[t];
}
STATIC uint8_t
transform_move(uint8_t m, uint8_t t)
{
uint8_t a, base, modifier;
a = moveaxis(m);
base = trans_move_table[t][a];
if (movebase(m) != 2 * a)
base = moveopposite(base);
modifier = m % 3;
if (t >= TRANS_UFm)
modifier = 2 - modifier;
return base + modifier;
}
STATIC uint64_t
symmetry_mask(cube_t cube)
{
uint64_t t, ret;
cube_t transformed;
for (t = 0, ret = 0; t < NTRANS; t++) {
transformed = transform(cube, t);
ret |= ((uint64_t)equal(cube, transformed)) << t;
}
return ret;
}
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