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
225
226
227
228
229
230
231
232
233
|
/**CFile****************************************************************
FileName [luckyFast6.c]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [Semi-canonical form computation package.]
Synopsis [Truth table minimization procedures for 6 vars.]
Author [Jake]
Date [Started - September 2012]
***********************************************************************/
#include "luckyInt.h"
ABC_NAMESPACE_IMPL_START
inline void resetPCanonPermArray_6Vars(char* x)
{
x[0]='a';
x[1]='b';
x[2]='c';
x[3]='d';
x[4]='e';
x[5]='f';
}
inline void resetPCanonPermArray(char* x, int nVars)
{
int i;
for(i=0;i<nVars;i++)
x[i] = 'a'+i;
}
// we need next two functions only for verification of lucky method in debugging mode
void swapAndFlip(word* pAfter, int nVars, int iVarInPosition, int jVar, char * pCanonPerm, unsigned* pUCanonPhase)
{
int Temp;
swap_ij(pAfter, nVars, iVarInPosition, jVar);
Temp = pCanonPerm[iVarInPosition];
pCanonPerm[iVarInPosition] = pCanonPerm[jVar];
pCanonPerm[jVar] = Temp;
if ( ((*pUCanonPhase & (1 << iVarInPosition)) > 0) != ((*pUCanonPhase & (1 << jVar)) > 0) )
{
*pUCanonPhase ^= (1 << iVarInPosition);
*pUCanonPhase ^= (1 << jVar);
}
if(*pUCanonPhase>>iVarInPosition & (unsigned)1 == 1)
Kit_TruthChangePhase_64bit( pAfter, nVars, iVarInPosition );
}
int luckyCheck(word* pAfter, word* pBefore, int nVars, char * pCanonPerm, unsigned uCanonPhase)
{
int i,j;
char tempChar;
for(j=0;j<nVars;j++)
{
tempChar = 'a'+ j;
for(i=j;i<nVars;i++)
{
if(tempChar != pCanonPerm[i])
continue;
swapAndFlip(pAfter , nVars, j, i, pCanonPerm, &uCanonPhase);
break;
}
}
if(uCanonPhase>>nVars & (unsigned)1 == 1)
Kit_TruthNot_64bit(pAfter, nVars );
if(memcmp(pAfter, pBefore, Kit_TruthWordNum_64bit( nVars )*sizeof(word)) == 0)
return 0;
else
return 1;
}
inline word Abc_allFlip(word x, unsigned* pCanonPhase)
{
if( (x>>63) )
{
(* pCanonPhase) ^=(1<<6);
return ~x;
}
else
return x;
}
inline unsigned adjustInfoAfterSwap(char* pCanonPerm, unsigned uCanonPhase, int iVar, unsigned info)
{
if(info<4)
return (uCanonPhase ^= (info << iVar));
else
{
char temp;
uCanonPhase ^= ((info-4) << iVar);
temp=pCanonPerm[iVar];
pCanonPerm[iVar]=pCanonPerm[iVar+1];
pCanonPerm[iVar+1]=temp;
if ( ((uCanonPhase & (1 << iVar)) > 0) != ((uCanonPhase & (1 << (iVar+1))) > 0) )
{
uCanonPhase ^= (1 << iVar);
uCanonPhase ^= (1 << (iVar+1));
}
return uCanonPhase;
}
}
inline word Extra_Truth6SwapAdjacent( word t, int iVar )
{
// variable swapping code
static word PMasks[5][3] = {
{ 0x9999999999999999, 0x2222222222222222, 0x4444444444444444 },
{ 0xC3C3C3C3C3C3C3C3, 0x0C0C0C0C0C0C0C0C, 0x3030303030303030 },
{ 0xF00FF00FF00FF00F, 0x00F000F000F000F0, 0x0F000F000F000F00 },
{ 0xFF0000FFFF0000FF, 0x0000FF000000FF00, 0x00FF000000FF0000 },
{ 0xFFFF00000000FFFF, 0x00000000FFFF0000, 0x0000FFFF00000000 }
};
assert( iVar < 5 );
return (t & PMasks[iVar][0]) | ((t & PMasks[iVar][1]) << (1 << iVar)) | ((t & PMasks[iVar][2]) >> (1 << iVar));
}
inline word Extra_Truth6ChangePhase( word t, int iVar)
{
// elementary truth tables
static word Truth6[6] = {
0xAAAAAAAAAAAAAAAA,
0xCCCCCCCCCCCCCCCC,
0xF0F0F0F0F0F0F0F0,
0xFF00FF00FF00FF00,
0xFFFF0000FFFF0000,
0xFFFFFFFF00000000
};
assert( iVar < 6 );
return ((t & ~Truth6[iVar]) << (1 << iVar)) | ((t & Truth6[iVar]) >> (1 << iVar));
}
inline word Extra_Truth6MinimumRoundOne( word t, int iVar, char* pCanonPerm, unsigned* pCanonPhase )
{
word tCur, tMin = t; // ab
unsigned info =0;
assert( iVar >= 0 && iVar < 5 );
tCur = Extra_Truth6ChangePhase( t, iVar ); // !a b
if(tCur<tMin)
{
info = 1;
tMin = tCur;
}
tCur = Extra_Truth6ChangePhase( t, iVar+1 ); // a !b
if(tCur<tMin)
{
info = 2;
tMin = tCur;
}
tCur = Extra_Truth6ChangePhase( tCur, iVar ); // !a !b
if(tCur<tMin)
{
info = 3;
tMin = tCur;
}
t = Extra_Truth6SwapAdjacent( t, iVar ); // b a
if(t<tMin)
{
info = 4;
tMin = t;
}
tCur = Extra_Truth6ChangePhase( t, iVar ); // !b a
if(tCur<tMin)
{
info = 6;
tMin = tCur;
}
tCur = Extra_Truth6ChangePhase( t, iVar+1 ); // b !a
if(tCur<tMin)
{
info = 5;
tMin = tCur;
}
tCur = Extra_Truth6ChangePhase( tCur, iVar ); // !b !a
if(tCur<tMin)
{
(* pCanonPhase) = adjustInfoAfterSwap(pCanonPerm, * pCanonPhase, iVar, 7);
return tCur;
}
else
{
(* pCanonPhase) = adjustInfoAfterSwap(pCanonPerm, * pCanonPhase, iVar, info);
return tMin;
}
}
// this function finds minimal for all TIED(and tied only) iVars
//it finds tied vars based on rearranged Store info - group of tied vars has the same bit count in Store
inline word Extra_Truth6MinimumRoundMany( word t, int* pStore, char* pCanonPerm, unsigned* pCanonPhase )
{
int i, bitInfoTemp;
word tMin0, tMin;
tMin=Abc_allFlip(t, pCanonPhase);
do
{
bitInfoTemp = pStore[0];
tMin0 = tMin;
for ( i = 0; i < 5; i++ )
{
if(bitInfoTemp == pStore[i+1])
tMin = Extra_Truth6MinimumRoundOne( tMin, i, pCanonPerm, pCanonPhase );
else
bitInfoTemp = pStore[i+1];
}
}while ( tMin0 != tMin );
return tMin;
}
inline word luckyCanonicizer_final_fast_6Vars(word InOut, int* pStore, char* pCanonPerm, unsigned* pCanonPhase )
{
// word temp, duplicat = InOut;
(* pCanonPhase) = Kit_TruthSemiCanonicize_Yasha1( &InOut, 6, pCanonPerm, pStore);
// InOut = Extra_Truth6MinimumRoundMany(InOut, pStore, pCanonPhase, pCanonPerm );
// temp = InOut;
// assert(!luckyCheck(&temp, &duplicat, 6, pCanonPerm, * pCanonPhase));
// return(InOut);
return Extra_Truth6MinimumRoundMany(InOut, pStore, pCanonPerm, pCanonPhase );
}
ABC_NAMESPACE_IMPL_END
|