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lvzhengyang
abc
Commits
c4446189
Commit
c4446189
authored
Jan 14, 2016
by
Alan Mishchenko
Browse files
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Changes to PDR to compute f-inf clauses and import invariant (or clauses) as a network.
parent
f30facfe
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Showing
15 changed files
with
457 additions
and
68 deletions
+457
-68
src/base/abci/abc.c
+14
-2
src/base/main/main.h
+2
-0
src/base/main/mainFrame.c
+4
-0
src/base/main/mainInt.h
+2
-0
src/base/wlc/module.make
+1
-0
src/base/wlc/wlcAbc.c
+154
-0
src/base/wlc/wlcBlast.c
+0
-46
src/base/wlc/wlcCom.c
+66
-1
src/proof/pdr/pdr.h
+1
-0
src/proof/pdr/pdrCore.c
+13
-11
src/proof/pdr/pdrInt.h
+5
-1
src/proof/pdr/pdrInv.c
+146
-4
src/proof/pdr/pdrMan.c
+1
-0
src/proof/pdr/pdrSat.c
+8
-3
src/proof/pdr/pdrUtil.c
+40
-0
No files found.
src/base/abci/abc.c
View file @
c4446189
...
...
@@ -24985,7 +24985,7 @@ int Abc_CommandPdr( Abc_Frame_t * pAbc, int argc, char ** argv )
int
c
;
Pdr_ManSetDefaultParams
(
pPars
);
Extra_UtilGetoptReset
();
while
(
(
c
=
Extra_UtilGetopt
(
argc
,
argv
,
"MFCRTHGaxrmsipdgvwzh"
)
)
!=
EOF
)
while
(
(
c
=
Extra_UtilGetopt
(
argc
,
argv
,
"MFC
D
RTHGaxrmsipdgvwzh"
)
)
!=
EOF
)
{
switch
(
c
)
{
...
...
@@ -25022,6 +25022,17 @@ int Abc_CommandPdr( Abc_Frame_t * pAbc, int argc, char ** argv )
if
(
pPars
->
nConfLimit
<
0
)
goto
usage
;
break
;
case
'D'
:
if
(
globalUtilOptind
>=
argc
)
{
Abc_Print
(
-
1
,
"Command line switch
\"
-D
\"
should be followed by an integer.
\n
"
);
goto
usage
;
}
pPars
->
nConfGenLimit
=
atoi
(
argv
[
globalUtilOptind
]);
globalUtilOptind
++
;
if
(
pPars
->
nConfGenLimit
<
0
)
goto
usage
;
break
;
case
'R'
:
if
(
globalUtilOptind
>=
argc
)
{
...
...
@@ -25134,13 +25145,14 @@ int Abc_CommandPdr( Abc_Frame_t * pAbc, int argc, char ** argv )
return
0
;
usage:
Abc_Print
(
-
2
,
"usage: pdr [-MFCRTHG <num>] [-axrmsipdgvwzh]
\n
"
);
Abc_Print
(
-
2
,
"usage: pdr [-MFC
D
RTHG <num>] [-axrmsipdgvwzh]
\n
"
);
Abc_Print
(
-
2
,
"
\t
model checking using property directed reachability (aka IC3)
\n
"
);
Abc_Print
(
-
2
,
"
\t
pioneered by Aaron Bradley (http://ecee.colorado.edu/~bradleya/ic3/)
\n
"
);
Abc_Print
(
-
2
,
"
\t
with improvements by Niklas Een (http://een.se/niklas/)
\n
"
);
Abc_Print
(
-
2
,
"
\t
-M num : limit on unused vars to trigger SAT solver recycling [default = %d]
\n
"
,
pPars
->
nRecycle
);
Abc_Print
(
-
2
,
"
\t
-F num : limit on timeframes explored to stop computation [default = %d]
\n
"
,
pPars
->
nFrameMax
);
Abc_Print
(
-
2
,
"
\t
-C num : limit on conflicts in one SAT call (0 = no limit) [default = %d]
\n
"
,
pPars
->
nConfLimit
);
Abc_Print
(
-
2
,
"
\t
-D num : limit on conflicts during ind-generalization (0 = no limit) [default = %d]
\n
"
,
pPars
->
nConfGenLimit
);
Abc_Print
(
-
2
,
"
\t
-R num : limit on proof obligations before a restart (0 = no limit) [default = %d]
\n
"
,
pPars
->
nRestLimit
);
Abc_Print
(
-
2
,
"
\t
-T num : runtime limit, in seconds (0 = no limit) [default = %d]
\n
"
,
pPars
->
nTimeOut
);
Abc_Print
(
-
2
,
"
\t
-H num : runtime limit per output, in miliseconds (with
\"
-a
\"
) [default = %d]
\n
"
,
pPars
->
nTimeOutOne
);
src/base/main/main.h
View file @
c4446189
...
...
@@ -143,6 +143,8 @@ extern ABC_DLL void Abc_FrameSetStatus( int Status );
extern
ABC_DLL
void
Abc_FrameSetManDsd
(
void
*
pMan
);
extern
ABC_DLL
void
Abc_FrameSetManDsd2
(
void
*
pMan
);
extern
ABC_DLL
void
Abc_FrameSetInv
(
Vec_Int_t
*
vInv
);
extern
ABC_DLL
void
Abc_FrameSetCnf
(
Vec_Int_t
*
vInv
);
extern
ABC_DLL
void
Abc_FrameSetStr
(
Vec_Str_t
*
vInv
);
extern
ABC_DLL
int
Abc_FrameCheckPoConst
(
Abc_Frame_t
*
p
,
int
iPoNum
);
...
...
src/base/main/mainFrame.c
View file @
c4446189
...
...
@@ -93,6 +93,8 @@ void Abc_FrameSetStatus( int Status ) { ABC_FREE( s_Globa
void
Abc_FrameSetManDsd
(
void
*
pMan
)
{
if
(
s_GlobalFrame
->
pManDsd
&&
s_GlobalFrame
->
pManDsd
!=
pMan
)
If_DsdManFree
((
If_DsdMan_t
*
)
s_GlobalFrame
->
pManDsd
,
0
);
s_GlobalFrame
->
pManDsd
=
pMan
;
}
void
Abc_FrameSetManDsd2
(
void
*
pMan
)
{
if
(
s_GlobalFrame
->
pManDsd2
&&
s_GlobalFrame
->
pManDsd2
!=
pMan
)
If_DsdManFree
((
If_DsdMan_t
*
)
s_GlobalFrame
->
pManDsd2
,
0
);
s_GlobalFrame
->
pManDsd2
=
pMan
;
}
void
Abc_FrameSetInv
(
Vec_Int_t
*
vInv
)
{
Vec_IntFreeP
(
&
s_GlobalFrame
->
pAbcWlcInv
);
s_GlobalFrame
->
pAbcWlcInv
=
vInv
;
}
void
Abc_FrameSetCnf
(
Vec_Int_t
*
vCnf
)
{
Vec_IntFreeP
(
&
s_GlobalFrame
->
pAbcWlcCnf
);
s_GlobalFrame
->
pAbcWlcCnf
=
vCnf
;
}
void
Abc_FrameSetStr
(
Vec_Str_t
*
vStr
)
{
Vec_StrFreeP
(
&
s_GlobalFrame
->
pAbcWlcStr
);
s_GlobalFrame
->
pAbcWlcStr
=
vStr
;
}
int
Abc_FrameIsBatchMode
()
{
return
s_GlobalFrame
?
s_GlobalFrame
->
fBatchMode
:
0
;
}
...
...
@@ -221,6 +223,8 @@ void Abc_FrameDeallocate( Abc_Frame_t * p )
ABC_FREE
(
p
->
pCex2
);
ABC_FREE
(
p
->
pCex
);
Vec_IntFreeP
(
&
p
->
pAbcWlcInv
);
Vec_IntFreeP
(
&
p
->
pAbcWlcCnf
);
Vec_StrFreeP
(
&
p
->
pAbcWlcStr
);
ABC_FREE
(
p
);
s_GlobalFrame
=
NULL
;
}
...
...
src/base/main/mainInt.h
View file @
c4446189
...
...
@@ -129,6 +129,8 @@ struct Abc_Frame_t_
void
*
pAbc85Delay
;
void
*
pAbcWlc
;
Vec_Int_t
*
pAbcWlcInv
;
Vec_Int_t
*
pAbcWlcCnf
;
Vec_Str_t
*
pAbcWlcStr
;
void
*
pAbcBac
;
void
*
pAbcCba
;
void
*
pAbcPla
;
...
...
src/base/wlc/module.make
View file @
c4446189
SRC
+=
src/base/wlc/wlcAbs.c
\
src/base/wlc/wlcAbc.c
\
src/base/wlc/wlcBlast.c
\
src/base/wlc/wlcCom.c
\
src/base/wlc/wlcNtk.c
\
...
...
src/base/wlc/wlcAbc.c
0 → 100644
View file @
c4446189
/**CFile****************************************************************
FileName [wlcAbc.c]
SystemName [ABC: Logic synthesis and verification system.]
PackageName [Verilog parser.]
Synopsis [Parses several flavors of word-level Verilog.]
Author [Alan Mishchenko]
Affiliation [UC Berkeley]
Date [Ver. 1.0. Started - August 22, 2014.]
Revision [$Id: wlcAbc.c,v 1.00 2014/09/12 00:00:00 alanmi Exp $]
***********************************************************************/
#include "wlc.h"
#include "base/abc/abc.h"
ABC_NAMESPACE_IMPL_START
////////////////////////////////////////////////////////////////////////
/// DECLARATIONS ///
////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
////////////////////////////////////////////////////////////////////////
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void
Wlc_NtkPrintInvStats
(
Wlc_Ntk_t
*
pNtk
,
Vec_Int_t
*
vInv
,
int
fVerbose
)
{
Wlc_Obj_t
*
pObj
;
int
i
,
k
,
nNum
,
nRange
,
nBits
=
0
;
Wlc_NtkForEachCi
(
pNtk
,
pObj
,
i
)
{
if
(
pObj
->
Type
!=
WLC_OBJ_FO
)
continue
;
nRange
=
Wlc_ObjRange
(
pObj
);
for
(
k
=
0
;
k
<
nRange
;
k
++
)
{
nNum
=
Vec_IntEntry
(
vInv
,
nBits
+
k
);
if
(
nNum
)
break
;
}
if
(
k
==
nRange
)
{
nBits
+=
nRange
;
continue
;
}
printf
(
"%s[%d:%d] : "
,
Wlc_ObjName
(
pNtk
,
Wlc_ObjId
(
pNtk
,
pObj
)),
pObj
->
End
,
pObj
->
Beg
);
for
(
k
=
0
;
k
<
nRange
;
k
++
)
{
nNum
=
Vec_IntEntry
(
vInv
,
nBits
+
k
);
if
(
nNum
==
0
)
continue
;
printf
(
" [%d] -> %d"
,
k
,
nNum
);
}
printf
(
"
\n
"
);
nBits
+=
nRange
;
}
//printf( "%d %d\n", Vec_IntSize(vInv), nBits );
assert
(
Vec_IntSize
(
vInv
)
==
nBits
);
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Abc_Ntk_t
*
Wlc_NtkGetInv
(
Wlc_Ntk_t
*
pNtk
,
Vec_Int_t
*
vInv
,
Vec_Str_t
*
vSop
,
int
fVerbose
)
{
Wlc_Obj_t
*
pObj
;
int
i
,
k
,
nNum
,
nRange
,
nBits
=
0
;
Abc_Ntk_t
*
pMainNtk
=
NULL
;
Abc_Obj_t
*
pMainObj
,
*
pMainTemp
;
char
Buffer
[
5000
];
// start the network
pMainNtk
=
Abc_NtkAlloc
(
ABC_NTK_LOGIC
,
ABC_FUNC_SOP
,
1
);
// duplicate the name and the spec
pMainNtk
->
pName
=
Extra_UtilStrsav
(
pNtk
->
pName
);
// create primary inputs
Wlc_NtkForEachCi
(
pNtk
,
pObj
,
i
)
{
if
(
pObj
->
Type
!=
WLC_OBJ_FO
)
continue
;
nRange
=
Wlc_ObjRange
(
pObj
);
for
(
k
=
0
;
k
<
nRange
;
k
++
)
{
nNum
=
Vec_IntEntry
(
vInv
,
nBits
+
k
);
if
(
nNum
)
break
;
}
if
(
k
==
nRange
)
{
nBits
+=
nRange
;
continue
;
}
//printf( "%s[%d:%d] : ", Wlc_ObjName(pNtk, Wlc_ObjId(pNtk, pObj)), pObj->End, pObj->Beg );
for
(
k
=
0
;
k
<
nRange
;
k
++
)
{
nNum
=
Vec_IntEntry
(
vInv
,
nBits
+
k
);
if
(
nNum
==
0
)
continue
;
//printf( " [%d] -> %d", k, nNum );
pMainObj
=
Abc_NtkCreatePi
(
pMainNtk
);
sprintf
(
Buffer
,
"%s[%d]"
,
Wlc_ObjName
(
pNtk
,
Wlc_ObjId
(
pNtk
,
pObj
)),
k
);
Abc_ObjAssignName
(
pMainObj
,
Buffer
,
NULL
);
}
//printf( "\n");
nBits
+=
nRange
;
}
//printf( "%d %d\n", Vec_IntSize(vInv), nBits );
assert
(
Vec_IntSize
(
vInv
)
==
nBits
);
// create node
pMainObj
=
Abc_NtkCreateNode
(
pMainNtk
);
Abc_NtkForEachPi
(
pMainNtk
,
pMainTemp
,
i
)
Abc_ObjAddFanin
(
pMainObj
,
pMainTemp
);
pMainObj
->
pData
=
Abc_SopRegister
(
(
Mem_Flex_t
*
)
pMainNtk
->
pManFunc
,
Vec_StrArray
(
vSop
)
);
// create PO
pMainTemp
=
Abc_NtkCreatePo
(
pMainNtk
);
Abc_ObjAddFanin
(
pMainTemp
,
pMainObj
);
Abc_ObjAssignName
(
pMainTemp
,
"inv"
,
NULL
);
return
pMainNtk
;
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
ABC_NAMESPACE_IMPL_END
src/base/wlc/wlcBlast.c
View file @
c4446189
...
...
@@ -1111,52 +1111,6 @@ Gia_Man_t * Wlc_NtkBitBlast( Wlc_Ntk_t * p, Vec_Int_t * vBoxIds )
return
pNew
;
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void
Wlc_NtkPrintInvStats
(
Wlc_Ntk_t
*
pNtk
,
Vec_Int_t
*
vInv
,
int
fVerbose
)
{
Wlc_Obj_t
*
pObj
;
int
i
,
k
,
nNum
,
nRange
,
nBits
=
0
;
Wlc_NtkForEachCi
(
pNtk
,
pObj
,
i
)
{
if
(
pObj
->
Type
!=
WLC_OBJ_FO
)
continue
;
nRange
=
Wlc_ObjRange
(
pObj
);
for
(
k
=
0
;
k
<
nRange
;
k
++
)
{
nNum
=
Vec_IntEntry
(
vInv
,
nBits
+
k
);
if
(
nNum
)
break
;
}
if
(
k
==
nRange
)
{
nBits
+=
nRange
;
continue
;
}
printf
(
"%s[%d:%d] : "
,
Wlc_ObjName
(
pNtk
,
Wlc_ObjId
(
pNtk
,
pObj
)),
pObj
->
End
,
pObj
->
Beg
);
for
(
k
=
0
;
k
<
nRange
;
k
++
)
{
nNum
=
Vec_IntEntry
(
vInv
,
nBits
+
k
);
if
(
nNum
==
0
)
continue
;
printf
(
" [%d] -> %d"
,
k
,
nNum
);
}
printf
(
"
\n
"
);
nBits
+=
nRange
;
}
//printf( "%d %d\n", Vec_IntSize(vInv), nBits );
assert
(
Vec_IntSize
(
vInv
)
==
nBits
);
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
...
...
src/base/wlc/wlcCom.c
View file @
c4446189
...
...
@@ -33,6 +33,7 @@ static int Abc_CommandWriteWlc ( Abc_Frame_t * pAbc, int argc, char ** argv );
static
int
Abc_CommandPs
(
Abc_Frame_t
*
pAbc
,
int
argc
,
char
**
argv
);
static
int
Abc_CommandBlast
(
Abc_Frame_t
*
pAbc
,
int
argc
,
char
**
argv
);
static
int
Abc_CommandPsInv
(
Abc_Frame_t
*
pAbc
,
int
argc
,
char
**
argv
);
static
int
Abc_CommandGetInv
(
Abc_Frame_t
*
pAbc
,
int
argc
,
char
**
argv
);
static
int
Abc_CommandTest
(
Abc_Frame_t
*
pAbc
,
int
argc
,
char
**
argv
);
static
inline
Wlc_Ntk_t
*
Wlc_AbcGetNtk
(
Abc_Frame_t
*
pAbc
)
{
return
(
Wlc_Ntk_t
*
)
pAbc
->
pAbcWlc
;
}
...
...
@@ -40,6 +41,8 @@ static inline void Wlc_AbcFreeNtk( Abc_Frame_t * pAbc )
static
inline
void
Wlc_AbcUpdateNtk
(
Abc_Frame_t
*
pAbc
,
Wlc_Ntk_t
*
pNtk
)
{
Wlc_AbcFreeNtk
(
pAbc
);
pAbc
->
pAbcWlc
=
pNtk
;
}
static
inline
Vec_Int_t
*
Wlc_AbcGetInv
(
Abc_Frame_t
*
pAbc
)
{
return
pAbc
->
pAbcWlcInv
;
}
static
inline
Vec_Int_t
*
Wlc_AbcGetCnf
(
Abc_Frame_t
*
pAbc
)
{
return
pAbc
->
pAbcWlcCnf
;
}
static
inline
Vec_Str_t
*
Wlc_AbcGetStr
(
Abc_Frame_t
*
pAbc
)
{
return
pAbc
->
pAbcWlcStr
;
}
////////////////////////////////////////////////////////////////////////
/// FUNCTION DEFINITIONS ///
...
...
@@ -63,6 +66,7 @@ void Wlc_Init( Abc_Frame_t * pAbc )
Cmd_CommandAdd
(
pAbc
,
"Word level"
,
"%ps"
,
Abc_CommandPs
,
0
);
Cmd_CommandAdd
(
pAbc
,
"Word level"
,
"%blast"
,
Abc_CommandBlast
,
0
);
Cmd_CommandAdd
(
pAbc
,
"Word level"
,
"%psinv"
,
Abc_CommandPsInv
,
0
);
Cmd_CommandAdd
(
pAbc
,
"Word level"
,
"%getinv"
,
Abc_CommandGetInv
,
0
);
Cmd_CommandAdd
(
pAbc
,
"Word level"
,
"%test"
,
Abc_CommandTest
,
0
);
}
...
...
@@ -421,7 +425,68 @@ int Abc_CommandPsInv( Abc_Frame_t * pAbc, int argc, char ** argv )
return
0
;
usage:
Abc_Print
(
-
2
,
"usage: %%psinv [-vh]
\n
"
);
Abc_Print
(
-
2
,
"
\t
prints inductive invariant statistics
\n
"
);
Abc_Print
(
-
2
,
"
\t
prints statistics for inductive invariant
\n
"
);
Abc_Print
(
-
2
,
"
\t
(in the case of
\'
sat
\'
or
\'
undecided
\'
, inifity clauses are used)
\n
"
);
Abc_Print
(
-
2
,
"
\t
-v : toggle printing verbose information [default = %s]
\n
"
,
fVerbose
?
"yes"
:
"no"
);
Abc_Print
(
-
2
,
"
\t
-h : print the command usage
\n
"
);
return
1
;
}
/**Function********************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
******************************************************************************/
int
Abc_CommandGetInv
(
Abc_Frame_t
*
pAbc
,
int
argc
,
char
**
argv
)
{
extern
Abc_Ntk_t
*
Wlc_NtkGetInv
(
Wlc_Ntk_t
*
pNtk
,
Vec_Int_t
*
vInv
,
Vec_Str_t
*
vSop
,
int
fVerbose
);
Abc_Ntk_t
*
pMainNtk
;
Wlc_Ntk_t
*
pNtk
=
Wlc_AbcGetNtk
(
pAbc
);
int
c
,
fVerbose
=
0
;
Extra_UtilGetoptReset
();
while
(
(
c
=
Extra_UtilGetopt
(
argc
,
argv
,
"vh"
)
)
!=
EOF
)
{
switch
(
c
)
{
case
'v'
:
fVerbose
^=
1
;
break
;
case
'h'
:
goto
usage
;
default:
goto
usage
;
}
}
if
(
pNtk
==
NULL
)
{
Abc_Print
(
1
,
"Abc_CommandGetInv(): There is no current design.
\n
"
);
return
0
;
}
if
(
Wlc_AbcGetNtk
(
pAbc
)
==
NULL
)
{
Abc_Print
(
1
,
"Abc_CommandGetInv(): There is no saved invariant.
\n
"
);
return
0
;
}
if
(
Wlc_AbcGetInv
(
pAbc
)
==
NULL
)
{
Abc_Print
(
1
,
"Abc_CommandGetInv(): Invariant is not available.
\n
"
);
return
0
;
}
// derive the network
pMainNtk
=
Wlc_NtkGetInv
(
pNtk
,
Wlc_AbcGetInv
(
pAbc
),
Wlc_AbcGetStr
(
pAbc
),
fVerbose
);
// replace the current network
Abc_FrameReplaceCurrentNetwork
(
pAbc
,
pMainNtk
);
return
0
;
usage:
Abc_Print
(
-
2
,
"usage: %%getinv [-vh]
\n
"
);
Abc_Print
(
-
2
,
"
\t
places invariant found by PDR as the current network in the main-space
\n
"
);
Abc_Print
(
-
2
,
"
\t
(in the case of
\'
sat
\'
or
\'
undecided
\'
, inifity clauses are used)
\n
"
);
Abc_Print
(
-
2
,
"
\t
-v : toggle printing verbose information [default = %s]
\n
"
,
fVerbose
?
"yes"
:
"no"
);
Abc_Print
(
-
2
,
"
\t
-h : print the command usage
\n
"
);
return
1
;
...
...
src/proof/pdr/pdr.h
View file @
c4446189
...
...
@@ -44,6 +44,7 @@ struct Pdr_Par_t_
int
nRecycle
;
// limit on vars for recycling
int
nFrameMax
;
// limit on frame count
int
nConfLimit
;
// limit on SAT solver conflicts
int
nConfGenLimit
;
// limit on SAT solver conflicts during generalization
int
nRestLimit
;
// limit on the number of proof-obligations
int
nTimeOut
;
// timeout in seconds
int
nTimeOutGap
;
// approximate timeout in seconds since the last change
...
...
src/proof/pdr/pdrCore.c
View file @
c4446189
...
...
@@ -55,6 +55,7 @@ void Pdr_ManSetDefaultParams( Pdr_Par_t * pPars )
pPars
->
nTimeOut
=
0
;
// timeout in seconds
pPars
->
nTimeOutGap
=
0
;
// timeout in seconds since the last solved
pPars
->
nConfLimit
=
0
;
// limit on SAT solver conflicts
pPars
->
nConfGenLimit
=
0
;
// limit on SAT solver conflicts during generalization
pPars
->
nRestLimit
=
0
;
// limit on the number of proof-obligations
pPars
->
fTwoRounds
=
0
;
// use two rounds for generalization
pPars
->
fMonoCnf
=
0
;
// monolythic CNF
...
...
@@ -115,7 +116,7 @@ Pdr_Set_t * Pdr_ManReduceClause( Pdr_Man_t * p, int k, Pdr_Set_t * pCube )
// make sure the cube works
{
int RetValue;
RetValue = Pdr_ManCheckCube( p, k, pCubeMin, NULL, 0 );
RetValue = Pdr_ManCheckCube( p, k, pCubeMin, NULL, 0
, 0
);
assert( RetValue );
}
*/
...
...
@@ -162,7 +163,7 @@ int Pdr_ManPushClauses( Pdr_Man_t * p )
}
// check if the clause can be moved to the next frame
RetValue2
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeK
,
NULL
,
0
);
RetValue2
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeK
,
NULL
,
0
,
0
);
if
(
RetValue2
==
-
1
)
return
-
1
;
if
(
!
RetValue2
)
...
...
@@ -310,7 +311,7 @@ int Pdr_ManGeneralize( Pdr_Man_t * p, int k, Pdr_Set_t * pCube, Pdr_Set_t ** ppP
int
*
pOrder
;
// if there is no induction, return
*
ppCubeMin
=
NULL
;
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCube
,
ppPred
,
p
->
pPars
->
nConfLimit
);
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCube
,
ppPred
,
p
->
pPars
->
nConfLimit
,
0
);
if
(
RetValue
==
-
1
)
return
-
1
;
if
(
RetValue
==
0
)
...
...
@@ -343,7 +344,7 @@ int Pdr_ManGeneralize( Pdr_Man_t * p, int k, Pdr_Set_t * pCube, Pdr_Set_t ** ppP
continue
;
// try removing this literal
Lit
=
pCubeMin
->
Lits
[
i
];
pCubeMin
->
Lits
[
i
]
=
-
1
;
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeMin
,
NULL
,
p
->
pPars
->
nConfLimit
);
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeMin
,
NULL
,
p
->
pPars
->
nConfLimit
,
1
);
if
(
RetValue
==
-
1
)
{
Pdr_SetDeref
(
pCubeMin
);
...
...
@@ -381,7 +382,7 @@ int Pdr_ManGeneralize( Pdr_Man_t * p, int k, Pdr_Set_t * pCube, Pdr_Set_t ** ppP
continue
;
// try removing this literal
Lit
=
pCubeMin
->
Lits
[
i
];
pCubeMin
->
Lits
[
i
]
=
-
1
;
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeMin
,
NULL
,
p
->
pPars
->
nConfLimit
);
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeMin
,
NULL
,
p
->
pPars
->
nConfLimit
,
0
);
if
(
RetValue
==
-
1
)
{
Pdr_SetDeref
(
pCubeMin
);
...
...
@@ -494,7 +495,7 @@ int Pdr_ManBlockCube( Pdr_Man_t * p, Pdr_Set_t * pCube )
assert
(
pPred
==
NULL
);
for
(
k
=
pThis
->
iFrame
;
k
<
kMax
;
k
++
)
{
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeMin
,
NULL
,
0
);
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
pCubeMin
,
NULL
,
0
,
0
);
if
(
RetValue
==
-
1
)
{
Pdr_OblDeref
(
pThis
);
...
...
@@ -659,7 +660,7 @@ int Pdr_ManSolveInt( Pdr_Man_t * p )
p
->
pPars
->
iFrame
=
k
;
return
-
1
;
}
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
NULL
,
&
pCube
,
p
->
pPars
->
nConfLimit
);
RetValue
=
Pdr_ManCheckCube
(
p
,
k
,
NULL
,
&
pCube
,
p
->
pPars
->
nConfLimit
,
0
);
if
(
RetValue
==
1
)
break
;
if
(
RetValue
==
-
1
)
...
...
@@ -911,10 +912,6 @@ int Pdr_ManSolve( Aig_Man_t * pAig, Pdr_Par_t * pPars )
RetValue
=
Pdr_ManSolveInt
(
p
);
if
(
RetValue
==
0
)
assert
(
pAig
->
pSeqModel
!=
NULL
||
p
->
vCexes
!=
NULL
);
if
(
RetValue
==
1
)
Abc_FrameSetInv
(
Pdr_ManCountFlopsInv
(
p
)
);
else
Abc_FrameSetInv
(
NULL
);
if
(
p
->
vCexes
)
{
assert
(
p
->
pAig
->
vSeqModelVec
==
NULL
);
...
...
@@ -922,7 +919,12 @@ int Pdr_ManSolve( Aig_Man_t * pAig, Pdr_Par_t * pPars )
p
->
vCexes
=
NULL
;
}
if
(
p
->
pPars
->
fDumpInv
)
{
Abc_FrameSetCnf
(
Pdr_ManDeriveInfinityClauses
(
p
,
RetValue
!=
1
)
);
Abc_FrameSetStr
(
Pdr_ManDumpString
(
p
)
);
Abc_FrameSetInv
(
Pdr_ManCountFlopsInv
(
p
)
);
Pdr_ManDumpClauses
(
p
,
(
char
*
)
"inv.pla"
,
RetValue
==
1
);
}
p
->
tTotal
+=
Abc_Clock
()
-
clk
;
Pdr_ManStop
(
p
);
pPars
->
iFrame
--
;
...
...
src/proof/pdr/pdrInt.h
View file @
c4446189
...
...
@@ -101,6 +101,7 @@ struct Pdr_Man_t_
Vec_Int_t
*
vSuppLits
;
// support literals
Pdr_Set_t
*
pCubeJust
;
// justification
abctime
*
pTime4Outs
;
// timeout per output
Vec_Ptr_t
*
vInfCubes
;
// infinity clauses/cubes
// statistics
int
nBlocks
;
// the number of times blockState was called
int
nObligs
;
// the number of proof obligations derived
...
...
@@ -167,8 +168,10 @@ extern Vec_Int_t * Pdr_ManCountFlopsInv( Pdr_Man_t * p );
extern
void
Pdr_ManPrintProgress
(
Pdr_Man_t
*
p
,
int
fClose
,
abctime
Time
);
extern
void
Pdr_ManPrintClauses
(
Pdr_Man_t
*
p
,
int
kStart
);
extern
void
Pdr_ManDumpClauses
(
Pdr_Man_t
*
p
,
char
*
pFileName
,
int
fProved
);
extern
Vec_Str_t
*
Pdr_ManDumpString
(
Pdr_Man_t
*
p
);
extern
void
Pdr_ManReportInvariant
(
Pdr_Man_t
*
p
);
extern
void
Pdr_ManVerifyInvariant
(
Pdr_Man_t
*
p
);
extern
Vec_Int_t
*
Pdr_ManDeriveInfinityClauses
(
Pdr_Man_t
*
p
,
int
fReduce
);
/*=== pdrMan.c ==========================================================*/
extern
Pdr_Man_t
*
Pdr_ManStart
(
Aig_Man_t
*
pAig
,
Pdr_Par_t
*
pPars
,
Vec_Int_t
*
vPrioInit
);
extern
void
Pdr_ManStop
(
Pdr_Man_t
*
p
);
...
...
@@ -182,7 +185,7 @@ extern Vec_Int_t * Pdr_ManLitsToCube( Pdr_Man_t * p, int k, int * pArray, in
extern
void
Pdr_ManSolverAddClause
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
);
extern
void
Pdr_ManCollectValues
(
Pdr_Man_t
*
p
,
int
k
,
Vec_Int_t
*
vObjIds
,
Vec_Int_t
*
vValues
);
extern
int
Pdr_ManCheckCubeCs
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
);
extern
int
Pdr_ManCheckCube
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
,
Pdr_Set_t
**
ppPred
,
int
nConfLimit
);
extern
int
Pdr_ManCheckCube
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
,
Pdr_Set_t
**
ppPred
,
int
nConfLimit
,
int
fTryConf
);
/*=== pdrTsim.c ==========================================================*/
extern
Pdr_Set_t
*
Pdr_ManTernarySim
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
);
/*=== pdrUtil.c ==========================================================*/
...
...
@@ -197,6 +200,7 @@ extern int Pdr_SetContains( Pdr_Set_t * pOld, Pdr_Set_t * pNew );
extern
int
Pdr_SetContainsSimple
(
Pdr_Set_t
*
pOld
,
Pdr_Set_t
*
pNew
);
extern
int
Pdr_SetIsInit
(
Pdr_Set_t
*
p
,
int
iRemove
);
extern
void
Pdr_SetPrint
(
FILE
*
pFile
,
Pdr_Set_t
*
p
,
int
nRegs
,
Vec_Int_t
*
vFlopCounts
);
extern
void
Pdr_SetPrintStr
(
Vec_Str_t
*
vStr
,
Pdr_Set_t
*
p
,
int
nRegs
,
Vec_Int_t
*
vFlopCounts
);
extern
int
Pdr_SetCompare
(
Pdr_Set_t
**
pp1
,
Pdr_Set_t
**
pp2
);
extern
Pdr_Obl_t
*
Pdr_OblStart
(
int
k
,
int
prio
,
Pdr_Set_t
*
pState
,
Pdr_Obl_t
*
pNext
);
extern
Pdr_Obl_t
*
Pdr_OblRef
(
Pdr_Obl_t
*
p
);
...
...
src/proof/pdr/pdrInv.c
View file @
c4446189
...
...
@@ -110,11 +110,15 @@ Vec_Int_t * Pdr_ManCountFlops( Pdr_Man_t * p, Vec_Ptr_t * vCubes )
int
i
,
n
;
vFlopCount
=
Vec_IntStart
(
Aig_ManRegNum
(
p
->
pAig
)
);
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
continue
;
for
(
n
=
0
;
n
<
pCube
->
nLits
;
n
++
)
{
assert
(
pCube
->
Lits
[
n
]
>=
0
&&
pCube
->
Lits
[
n
]
<
2
*
Aig_ManRegNum
(
p
->
pAig
)
);
Vec_IntAddToEntry
(
vFlopCount
,
pCube
->
Lits
[
n
]
>>
1
,
1
);
}
}
return
vFlopCount
;
}
...
...
@@ -202,7 +206,10 @@ int Pdr_ManCountVariables( Pdr_Man_t * p, int kStart )
Vec_Int_t
*
vFlopCounts
;
Vec_Ptr_t
*
vCubes
;
int
i
,
Entry
,
Counter
=
0
;
vCubes
=
Pdr_ManCollectCubes
(
p
,
kStart
);
if
(
p
->
vInfCubes
==
NULL
)
vCubes
=
Pdr_ManCollectCubes
(
p
,
kStart
);
else
vCubes
=
Vec_PtrDup
(
p
->
vInfCubes
);
vFlopCounts
=
Pdr_ManCountFlops
(
p
,
vCubes
);
Vec_IntForEachEntry
(
vFlopCounts
,
Entry
,
i
)
Counter
+=
(
Entry
>
0
);
...
...
@@ -338,7 +345,7 @@ void Pdr_ManDumpClauses( Pdr_Man_t * p, char * pFileName, int fProved )
Vec_Ptr_t
*
vCubes
;
Pdr_Set_t
*
pCube
;
char
**
pNamesCi
;
int
i
,
kStart
;
int
i
,
kStart
,
Count
=
0
;
// create file
pFile
=
fopen
(
pFileName
,
"w"
);
if
(
pFile
==
NULL
)
...
...
@@ -348,9 +355,20 @@ void Pdr_ManDumpClauses( Pdr_Man_t * p, char * pFileName, int fProved )
}
// collect cubes
kStart
=
Pdr_ManFindInvariantStart
(
p
);
vCubes
=
Pdr_ManCollectCubes
(
p
,
kStart
);
if
(
fProved
)
vCubes
=
Pdr_ManCollectCubes
(
p
,
kStart
);
else
vCubes
=
Vec_PtrDup
(
p
->
vInfCubes
);
Vec_PtrSort
(
vCubes
,
(
int
(
*
)(
void
))
Pdr_SetCompare
);
// Pdr_ManDumpAig( p->pAig, vCubes );
// count cubes
Count
=
0
;
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
continue
;
Count
++
;
}
// collect variable appearances
vFlopCounts
=
fUseSupp
?
Pdr_ManCountFlops
(
p
,
vCubes
)
:
NULL
;
// output the header
...
...
@@ -361,7 +379,7 @@ void Pdr_ManDumpClauses( Pdr_Man_t * p, char * pFileName, int fProved )
fprintf
(
pFile
,
"# generated by PDR in ABC on %s
\n
"
,
Aig_TimeStamp
()
);
fprintf
(
pFile
,
".i %d
\n
"
,
fUseSupp
?
Pdr_ManCountVariables
(
p
,
kStart
)
:
Aig_ManRegNum
(
p
->
pAig
)
);
fprintf
(
pFile
,
".o 1
\n
"
);
fprintf
(
pFile
,
".p %d
\n
"
,
Vec_PtrSize
(
vCubes
)
);
fprintf
(
pFile
,
".p %d
\n
"
,
Count
);
// output flop names
pNamesCi
=
Abc_NtkCollectCioNames
(
Abc_FrameReadNtk
(
Abc_FrameReadGlobalFrame
()
),
0
);
if
(
pNamesCi
)
...
...
@@ -377,6 +395,8 @@ void Pdr_ManDumpClauses( Pdr_Man_t * p, char * pFileName, int fProved )
// output cubes
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
continue
;
Pdr_SetPrint
(
pFile
,
pCube
,
Aig_ManRegNum
(
p
->
pAig
),
vFlopCounts
);
fprintf
(
pFile
,
" 1
\n
"
);
}
...
...
@@ -390,6 +410,48 @@ void Pdr_ManDumpClauses( Pdr_Man_t * p, char * pFileName, int fProved )
Abc_Print
(
1
,
"Clauses of the last timeframe were written into file
\"
%s
\"
.
\n
"
,
pFileName
);
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
Vec_Str_t
*
Pdr_ManDumpString
(
Pdr_Man_t
*
p
)
{
int
fUseSupp
=
1
;
Vec_Str_t
*
vStr
;
Vec_Int_t
*
vFlopCounts
;
Vec_Ptr_t
*
vCubes
;
Pdr_Set_t
*
pCube
;
int
i
,
kStart
;
vStr
=
Vec_StrAlloc
(
1000
);
// collect cubes
kStart
=
Pdr_ManFindInvariantStart
(
p
);
if
(
p
->
vInfCubes
==
NULL
)
vCubes
=
Pdr_ManCollectCubes
(
p
,
kStart
);
else
vCubes
=
Vec_PtrDup
(
p
->
vInfCubes
);
Vec_PtrSort
(
vCubes
,
(
int
(
*
)(
void
))
Pdr_SetCompare
);
// collect variable appearances
vFlopCounts
=
fUseSupp
?
Pdr_ManCountFlops
(
p
,
vCubes
)
:
NULL
;
// output cubes
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
continue
;
Pdr_SetPrintStr
(
vStr
,
pCube
,
Aig_ManRegNum
(
p
->
pAig
),
vFlopCounts
);
}
Vec_IntFreeP
(
&
vFlopCounts
);
Vec_PtrFree
(
vCubes
);
Vec_StrPush
(
vStr
,
'\0'
);
return
vStr
;
}
/**Function*************************************************************
...
...
@@ -469,6 +531,86 @@ void Pdr_ManVerifyInvariant( Pdr_Man_t * p )
Vec_PtrFree
(
vCubes
);
}
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
int
Pdr_ManDeriveMarkNonInductive
(
Pdr_Man_t
*
p
,
Vec_Ptr_t
*
vCubes
)
{
sat_solver
*
pSat
;
Vec_Int_t
*
vLits
;
Pdr_Set_t
*
pCube
;
int
i
,
kThis
,
RetValue
,
fChanges
=
0
,
Counter
=
0
;
// create solver with the cubes
kThis
=
Vec_PtrSize
(
p
->
vSolvers
);
pSat
=
Pdr_ManCreateSolver
(
p
,
kThis
);
// add the clauses
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
// skip non-inductive
continue
;
vLits
=
Pdr_ManCubeToLits
(
p
,
kThis
,
pCube
,
1
,
0
);
RetValue
=
sat_solver_addclause
(
pSat
,
Vec_IntArray
(
vLits
),
Vec_IntArray
(
vLits
)
+
Vec_IntSize
(
vLits
)
);
assert
(
RetValue
);
sat_solver_compress
(
pSat
);
}
// check each clause
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
// skip non-inductive
continue
;
vLits
=
Pdr_ManCubeToLits
(
p
,
kThis
,
pCube
,
0
,
1
);
RetValue
=
sat_solver_solve
(
pSat
,
Vec_IntArray
(
vLits
),
Vec_IntArray
(
vLits
)
+
Vec_IntSize
(
vLits
),
0
,
0
,
0
,
0
);
if
(
RetValue
!=
l_False
)
// mark as non-inductive
{
pCube
->
nRefs
=
-
1
;
fChanges
=
1
;
}
else
Counter
++
;
}
//printf( "Clauses = %d.\n", Counter );
//sat_solver_delete( pSat );
return
fChanges
;
}
Vec_Int_t
*
Pdr_ManDeriveInfinityClauses
(
Pdr_Man_t
*
p
,
int
fReduce
)
{
Vec_Int_t
*
vResult
;
Vec_Ptr_t
*
vCubes
;
Pdr_Set_t
*
pCube
;
int
i
,
v
,
kStart
;
abctime
clk
=
Abc_Clock
();
// collect cubes used in the inductive invariant
kStart
=
Pdr_ManFindInvariantStart
(
p
);
vCubes
=
Pdr_ManCollectCubes
(
p
,
kStart
);
// refine as long as there are changes
if
(
fReduce
)
while
(
Pdr_ManDeriveMarkNonInductive
(
p
,
vCubes
)
);
// collect remaining clauses
vResult
=
Vec_IntAlloc
(
1000
);
Vec_IntPush
(
vResult
,
0
);
Vec_PtrForEachEntry
(
Pdr_Set_t
*
,
vCubes
,
pCube
,
i
)
{
if
(
pCube
->
nRefs
==
-
1
)
// skip non-inductive
continue
;
Vec_IntAddToEntry
(
vResult
,
0
,
1
);
Vec_IntPush
(
vResult
,
pCube
->
nLits
);
for
(
v
=
0
;
v
<
pCube
->
nLits
;
v
++
)
Vec_IntPush
(
vResult
,
pCube
->
Lits
[
v
]
);
}
//Vec_PtrFree( vCubes );
Vec_PtrFreeP
(
&
p
->
vInfCubes
);
p
->
vInfCubes
=
vCubes
;
return
vResult
;
}
////////////////////////////////////////////////////////////////////////
/// END OF FILE ///
////////////////////////////////////////////////////////////////////////
...
...
src/proof/pdr/pdrMan.c
View file @
c4446189
...
...
@@ -163,6 +163,7 @@ void Pdr_ManStop( Pdr_Man_t * p )
Vec_IntFree
(
p
->
vCi2Rem
);
// CIs to be removed
Vec_IntFree
(
p
->
vRes
);
// final result
Vec_IntFree
(
p
->
vSuppLits
);
// support literals
Vec_PtrFreeP
(
&
p
->
vInfCubes
);
ABC_FREE
(
p
->
pCubeJust
);
ABC_FREE
(
p
->
pTime4Outs
);
if
(
p
->
vCexes
)
...
...
src/proof/pdr/pdrSat.c
View file @
c4446189
...
...
@@ -283,7 +283,7 @@ int Pdr_ManCheckCubeCs( Pdr_Man_t * p, int k, Pdr_Set_t * pCube )
SeeAlso []
***********************************************************************/
int
Pdr_ManCheckCube
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
,
Pdr_Set_t
**
ppPred
,
int
nConfLimit
)
int
Pdr_ManCheckCube
(
Pdr_Man_t
*
p
,
int
k
,
Pdr_Set_t
*
pCube
,
Pdr_Set_t
**
ppPred
,
int
nConfLimit
,
int
fTryConf
)
{
int
fUseLit
=
1
;
int
fLitUsed
=
0
;
...
...
@@ -329,10 +329,15 @@ int Pdr_ManCheckCube( Pdr_Man_t * p, int k, Pdr_Set_t * pCube, Pdr_Set_t ** ppPr
// solve
clk
=
Abc_Clock
();
Limit
=
sat_solver_set_runtime_limit
(
pSat
,
Pdr_ManTimeLimit
(
p
)
);
RetValue
=
sat_solver_solve
(
pSat
,
Vec_IntArray
(
vLits
),
Vec_IntArray
(
vLits
)
+
Vec_IntSize
(
vLits
),
nConfLimit
,
0
,
0
,
0
);
RetValue
=
sat_solver_solve
(
pSat
,
Vec_IntArray
(
vLits
),
Vec_IntArray
(
vLits
)
+
Vec_IntSize
(
vLits
),
fTryConf
?
p
->
pPars
->
nConfGenLimit
:
nConfLimit
,
0
,
0
,
0
);
sat_solver_set_runtime_limit
(
pSat
,
Limit
);
if
(
RetValue
==
l_Undef
)
return
-
1
;
{
if
(
fTryConf
&&
p
->
pPars
->
nConfGenLimit
)
RetValue
=
l_True
;
else
return
-
1
;
}
/*
if ( RetValue == l_True )
{
...
...
src/proof/pdr/pdrUtil.c
View file @
c4446189
...
...
@@ -251,6 +251,46 @@ void Pdr_SetPrint( FILE * pFile, Pdr_Set_t * p, int nRegs, Vec_Int_t * vFlopCoun
/**Function*************************************************************
Synopsis []
Description []
SideEffects []
SeeAlso []
***********************************************************************/
void
Pdr_SetPrintStr
(
Vec_Str_t
*
vStr
,
Pdr_Set_t
*
p
,
int
nRegs
,
Vec_Int_t
*
vFlopCounts
)
{
char
*
pBuff
;
int
i
,
k
=
0
,
Entry
;
pBuff
=
ABC_ALLOC
(
char
,
nRegs
+
1
);
for
(
i
=
0
;
i
<
nRegs
;
i
++
)
pBuff
[
i
]
=
'-'
;
pBuff
[
i
]
=
0
;
for
(
i
=
0
;
i
<
p
->
nLits
;
i
++
)
{
if
(
p
->
Lits
[
i
]
==
-
1
)
continue
;
pBuff
[
lit_var
(
p
->
Lits
[
i
])]
=
(
lit_sign
(
p
->
Lits
[
i
])
?
'0'
:
'1'
);
}
if
(
vFlopCounts
)
{
// skip some literals
Vec_IntForEachEntry
(
vFlopCounts
,
Entry
,
i
)
if
(
Entry
)
pBuff
[
k
++
]
=
pBuff
[
i
];
pBuff
[
k
]
=
0
;
}
Vec_StrPushBuffer
(
vStr
,
pBuff
,
k
);
Vec_StrPush
(
vStr
,
' '
);
Vec_StrPush
(
vStr
,
'0'
);
Vec_StrPush
(
vStr
,
'\n'
);
ABC_FREE
(
pBuff
);
}
/**Function*************************************************************
Synopsis [Return 1 if pOld set-theoretically contains pNew.]
Description []
...
...
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