abl(1)
NAME
abl - Prefixed representation for boolean functions
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).
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