1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
|
typedef cube_t cube_fast_t;
_static_inline cube_fast_t fastcube(
uint8_t, uint8_t, uint8_t, uint8_t, uint8_t,
uint8_t, uint8_t, uint8_t, uint8_t, uint8_t,
uint8_t, uint8_t, uint8_t, uint8_t, uint8_t,
uint8_t, uint8_t, uint8_t, uint8_t, uint8_t
);
_static cube_fast_t cubetofast(cube_t);
_static cube_t fasttocube(cube_fast_t);
_static_inline bool equal_fast(cube_fast_t, cube_fast_t);
_static_inline bool issolved_fast(cube_fast_t);
_static_inline cube_fast_t invertco_fast(cube_fast_t);
_static_inline cube_fast_t compose_fast(cube_fast_t, cube_fast_t);
_static_inline int64_t coord_fast_co(cube_fast_t);
_static_inline int64_t coord_fast_csep(cube_fast_t);
_static_inline int64_t coord_fast_cocsep(cube_fast_t);
_static_inline int64_t coord_fast_eo(cube_fast_t);
_static_inline int64_t coord_fast_esep(cube_fast_t);
_static_inline cube_fast_t
fastcube(
uint8_t c_ufr,
uint8_t c_ubl,
uint8_t c_dfl,
uint8_t c_dbr,
uint8_t c_ufl,
uint8_t c_ubr,
uint8_t c_dfr,
uint8_t c_dbl,
uint8_t e_uf,
uint8_t e_ub,
uint8_t e_db,
uint8_t e_df,
uint8_t e_ur,
uint8_t e_ul,
uint8_t e_dl,
uint8_t e_dr,
uint8_t e_fr,
uint8_t e_fl,
uint8_t e_bl,
uint8_t e_br
)
{
cube_fast_t cube = {
.corner = {
c_ufr, c_ubl, c_dfl, c_dbr, c_ufl, c_ubr, c_dfr, c_dbl
},
.edge = {
e_uf, e_ub, e_db, e_df, e_ur, e_ul,
e_dl, e_dr, e_fr, e_fl, e_bl, e_br
}
};
return cube;
}
_static cube_fast_t
cubetofast(cube_t cube)
{
cube_fast_t fast;
memcpy(&fast, &cube, sizeof(cube_fast_t));
return fast;
}
_static cube_t
fasttocube(cube_fast_t fast)
{
cube_t cube;
memcpy(&cube, &fast, sizeof(cube_fast_t));
return cube;
}
_static_inline bool
equal_fast(cube_fast_t c1, cube_fast_t c2)
{
uint8_t i;
bool ret;
ret = true;
for (i = 0; i < 8; i++)
ret = ret && c1.corner[i] == c2.corner[i];
for (i = 0; i < 12; i++)
ret = ret && c1.edge[i] == c2.edge[i];
return ret;
}
_static_inline bool
issolved_fast(cube_fast_t cube)
{
return equal_fast(cube, solved_fast);
}
_static_inline cube_fast_t
invertco_fast(cube_fast_t c)
{
uint8_t i, piece, orien;
cube_fast_t ret;
ret = c;
for (i = 0; i < 8; i++) {
piece = c.corner[i];
orien = ((piece << 1) | (piece >> 1)) & _cobits2;
ret.corner[i] = (piece & _pbits) | orien;
}
return ret;
}
_static_inline cube_fast_t
compose_fast(cube_fast_t c1, cube_fast_t c2)
{
cube_fast_t ret;
uint8_t i, piece1, piece2, p, orien, aux, auy;
ret = zero_fast;
for (i = 0; i < 12; i++) {
piece2 = c2.edge[i];
p = piece2 & _pbits;
piece1 = c1.edge[p];
orien = (piece2 ^ piece1) & _eobit;
ret.edge[i] = (piece1 & _pbits) | orien;
}
for (i = 0; i < 8; i++) {
piece2 = c2.corner[i];
p = piece2 & _pbits;
piece1 = c1.corner[p];
aux = (piece2 & _cobits) + (piece1 & _cobits);
auy = (aux + _ctwist_cw) >> 2U;
orien = (aux + auy) & _cobits2;
ret.corner[i] = (piece1 & _pbits) | orien;
}
return ret;
}
_static_inline int64_t
coord_fast_co(cube_fast_t c)
{
int i, p;
int64_t ret;
for (ret = 0, i = 0, p = 1; i < 7; i++, p *= 3)
ret += p * (c.corner[i] >> _coshift);
return ret;
}
/*
For corner separation, we consider the axis (a.k.a. tetrad) each
corner belongs to as 0 or 1 and we translate this sequence into binary.
Ignoring the last bit, we have a value up to 2^7, but not all values are
possible. Encoding this as a number from 0 to C(8,4) would save about 40%
of space, but we are not going to use this coordinate in large tables.
*/
_static_inline int64_t
coord_fast_csep(cube_fast_t c)
{
int i, p;
int64_t ret;
for (ret = 0, i = 0, p = 1; i < 7; i++, p *= 2)
ret += p * ((c.corner[i] & _csepbit) >> 2U);
return ret;
}
_static_inline int64_t
coord_fast_cocsep(cube_fast_t c)
{
return (coord_fast_co(c) << 7) + coord_fast_csep(c);
}
_static_inline int64_t
coord_fast_eo(cube_fast_t c)
{
int i, p;
int64_t ret;
for (ret = 0, i = 1, p = 1; i < 12; i++, p *= 2)
ret += p * (c.edge[i] >> _eoshift);
return ret;
}
/*
We encode the edge separation as a number from 0 to C(12,4)*C(8,4).
It can be seen as the composition of two "subset index" coordinates.
*/
_static_inline int64_t
coord_fast_esep(cube_fast_t c)
{
int64_t i, j, k, l, ret1, ret2, bit1, bit2, is1;
for (i = 0, j = 0, k = 4, l = 4, ret1 = 0, ret2 = 0; i < 12; i++) {
/* Simple version:
if (c.edge[i] & _esepbit2) {
ret1 += binomial[11-i][k--];
} else {
if (c.edge[i] & _esepbit1)
ret2 += binomial[7-j][l--];
j++;
}
*/
bit1 = (c.edge[i] & _esepbit1) >> 2U;
bit2 = (c.edge[i] & _esepbit2) >> 3U;
is1 = (1 - bit2) * bit1;
ret1 += bit2 * binomial[11-i][k];
k -= bit2;
ret2 += is1 * binomial[7-j][l];
l -= is1;
j += (1-bit2);
}
return ret1 * 70 + ret2;
}
|