NAME¶
abl - Prefixed representation for boolean functions
ORIGIN¶
This software belongs to the ALLIANCE CAD SYSTEM developed by the ASIM team at
LIP6 laboratory of Université Pierre et Marie CURIE, in Paris,
France.
Web :
http://asim.lip6.fr/recherche/alliance/
E-mail :
alliance-users@asim.lip6.fr
DESCRIPTION¶
libablmmm.a is a library that enables to represent a boolean function in
a LISP-like form. An ABL is a prefixed internal representation for a boolean
function having standard operators as OR,NOR,NAND,XOR,NOT and AND. An ABL is
only made up of doublets. A doublet is composed of two fields wich are
accessible by the functionnal
#define CAR and
CDR. A
doublet is implemented with a MBK
chain_list.
Expression is the generic term for a boolean function represented by an
ABL. An expression can be an atomic expression or an operator expression. The
function
f = a is represented by an atomic expression whereas
f =
(or a b) is represented by an operator expression. An atomic expression is
made up of a single doublet having the
NEXT pointer equal to NULL and
DATA pointer equal to the identifier pointer. A constant atomic
expression is an atomic expression having the string "'0'" or
"'1'" as identifier.
An operator expression is more complicated than an atomic expression. It's a
list of items, the first item is the head operator of the expression and the
following items are the arguments of the expression. It's possible to go
trough the arguments by calling the functionnal
#define CDR.
Then each argument is accessible by the functionnal
#define CAR.
An argument can be recursively an atomic or an operator expression. The arity
of an operator expression is the number of arguments of the first level.
Functions are divided into two groups, the low level functions are written with
#define and are used to manage the ABL internal form, the high level
functions are used to manage the boolean expressions. All functions are
defined in the file "prefbib.c" (
#define in
"logmmm.h").
- Functionnal #define
- ATOM
- - checks the kind of an expression (atomic or operator
expression).
- CAR
- - returns the DATA pointer of a doublet.
- CADR
- - returns the DATA pointer of the NEXT
pointer of a doublet.
- CDR
- - returns the NEXT pointer of a doublet.
- OPER
- - returns the operator number of an operator
expression.
- VALUE_ATOM
- - returns the associated char * of an atomic
expression.
- Functions and procedures
- addHExpr
- - adds a new arguments at the head of an operator
expression.
- addQExpr
- - adds a new arguments at the queue of an operator
expression.
- anyExpr
- - returns the value of a logical OR applied on the results
of the application of a function on the arguments of an operator
expression.
- changeOperExpr
- - changes the operator of the head of an expression.
- charToOper
- - converts an operator string into an operator number.
- copyExpr
- - copies an expression.
- createAtom
- - creates an atomic expression.
- createBinExpr
- - creates a binary operator expression with an eventual
merging of the operator.
- createExpr
- - creates the head of an operator expression.
- deleteNumExpr
- - removes the i-th argument in an operator expression.
- devXor2Expr
- - converts XOR 2 to OR-AND.
- devXorExpr
- - removes XOR in an expression.
- displayExpr
- - displays an expression in a prefixed notation.
- displayInfExpr
- - displays an expression in infixed notation.
- equalExpr
- - checks that two expressions are strictly equal.
- equalVarExpr
- - checks that two expressions are syntactically equal.
- everyExpr
- - returns the value of a logical AND applied on the results
of the application of a function on the arguments of an operator
expression.
- exprToChar
- - converts an expression into a string.
- charToExpr
- - converts a string into an expression.
- flatArityExpr
- - flattens the operators of an expression.
- flatPolarityExpr
- - translates the inverters of an expression to the level of
atomic expressions.
- freeExpr
- - frees an expression.
- identExpr
- - gives an identifier from an operator expression.
- lengthExpr
- - returns the number of arguments in an expression.
- mapCarExpr
- - creates a new expression by applying a function to all
arguments of an operator expression.
- mapExpr
- - applies a procedure to all the arguments of an operator
expression.
- maxExpr
- - returns the highest argument of an operator
expression.
- minExpr
- - returns the lowest argument of an operator
expression.
- normExpr
- - normalizes an expression.
- notExpr
- - complements an expression and eventually does a
simplification.
- numberAtomExpr
- - returns the number of atoms in an expression.
- numberOccExpr
- - returns the number of time an atom appears in an
expression.
- numberOperBinExpr
- - returns the number of equivalent binary operators in an
expression.
- operToChar
- - converts an operator number into an operator string.
- profExpr
- - returns the depth of an expression.
- profAOExpr
- - returns the depth of an expression without taking the
inverters into account.
- searchExpr
- - searches for a specific atom in an expression.
- searchNumExpr
- - fetches the i-th argument in an operator expression.
- searchOperExpr
- - searches for an operator in an expression.
- simplif10Expr
- - makes simplifications on an expression including constant
atomic expressions.
- simplifNotExpr
- - makes simplifications on an expression including
inverters.
- sortExpr
- - sorts an expression.
- substExpr
- - copies an expression by substituting a given atom by an
expression.
- substPhyExpr
- - substitutes an atomic expression by an expression within
an expression.
- supportChain_listExpr
- - returns the support of an expression in a
chain_list.
- supportPtype_listExpr
- - returns the support of an expression in a
ptype_list.
- wPMExpr
- - returns 1 if the pattern matching is possible between two
expressions.
SEE ALSO¶
log(1),
mbk(1),
addHExpr(3),
addQExpr(3),
anyExpr(3),
changeOperExpr(3),
charToExpr(3),
charToOper(3),
copyExpr(3),
createAtom(3),
createBinExpr(3),
createExpr(3),
deleteNumExpr(3),
devXor2Expr(3),
devXorExpr(3),
displayExpr(3),
displayInfExpr(3),
equalExpr(3),
equalVarExpr(3),
everyExpr(3),
exprToChar(3),
flatArityExpr(3),
flatPolarityExpr(3),
freeExpr(3),
identExpr(3),
lengthExpr(3),
mapCarExpr(3),
mapExpr(3),
maxExpr(3),
minExpr(3),
notExpr(3),
normExpr(3),
numberAtomExpr(3),
numberOccExpr(3),
numberOperBinExpr(3),
operToChar(3),
profExpr(3),
profAOExpr(3),
searchExpr(3),
searchNumExpr(3),
searchOperExpr(3),
simplif10Expr(3),
simplifNotExpr(3),
sortExpr(3),
substExpr(3),
substPhyExpr(3),
supportChain_listExpr(3),
supportPtype_listExpr(3).
PMExpr(3).
BUG REPORT¶
This tool is under development at the
ASIM department of the
LIP6
laboratory.
We need your feedback to improve documentation and tools.