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Initial revision
# include <ingres.h>
# include <aux.h>
# include <tree.h>
# include <symbol.h>
# include <sccs.h>
SCCSID(@(#)norml.c 7.1 2/5/81)
extern QTREE *treedup();
extern char *need();
/*
** NORML
** this routine passes the qualification clause portion of the query
** tree to the routines for depressing nots and for conjunctive
** normalization. It also calls a routine to place an and with one
** null branch at the rightmost end of the tree.
*/
QTREE *
norml(ptr)
QTREE *ptr;
{
extern QTREE *nnorm();
extern QTREE *travers();
extern QTREE *tree();
# ifdef xQTR2
if (tTf(73, 0))
treepr(ptr, "->NORML");
# endif
if (ptr == NULL)
return (tree(NULL, NULL, QLEND, 0, 0));
/* push through the 'nots' as far a possible */
ptr = nnorm(ptr);
/* make tree into conjunctive normal form */
ptr = travers(ptr);
/* terminate the list on the rightmost branch */
adjust(&ptr);
# ifdef xQTR3
if (tTf(73, 2))
treepr(ptr, "before mvands");
# endif
/* make 'ands' into a linear list */
mvands(ptr);
# ifdef xQTR2
if (tTf(73, 1))
treepr(ptr, "<-NORML");
# endif
return (ptr);
}
/*
** NORM
** this routine takes a tree which has nots only at the lower ends, and
** places it into conjunctive normal form by repeatedly applying the
** replacement rule: A or (B and C) ==> (A or B) and (A or C)
*/
QTREE *
norm(p1)
QTREE *p1;
{
extern QTREE *tree();
register QTREE *p;
register QTREE *lptr;
register QTREE *rptr;
p = p1;
switch (p->sym.type)
{
case AND:
p->left = norm(p->left);
p->right = norm(p->right);
break;
case OR:
if (p->right->sym.type == AND)
{
andright:
/*
** combine left subtree with each subtree of the
** right subtree
*/
/*
** use copy first so that the copy is guaranteed to be
** the same as the original
*/
lptr = tree(treedup(p->left), p->right->left, OR, 0, 0);
rptr = tree(p->left, p->right->right, OR, 0, 0);
lptr = norm(lptr);
rptr = norm(rptr);
/* change node type to AND from OR */
p->left = lptr;
p->right = rptr;
p->sym.type = AND; /* length is same */
break;
}
if (p->left->sym.type == AND)
{
andleft:
/*
** combine right subtree with each subtree of the
** left subtree
*/
/*
** again, the copy should be used first
*/
lptr = tree(p->left->left, treedup(p->right), OR, 0, 0);
rptr = tree(p->left->right, p->right, OR, 0, 0);
lptr = norm(lptr);
rptr = norm(rptr);
/* change node type to AND from OR */
p->left = lptr;
p->right = rptr;
p->sym.type = AND;
break;
}
/*
** when TRAVERS is being used to optomize the normalization
** order there should never be (I think) an OR as a child
** of the OR in the parent. Since TRAVERS works bottom up
** in the tree the second OR level should be gone.
*/
if (p->right->sym.type == OR)
{
/* skip this (p->sym.type) "or" and normalize the right subtree */
p->right = norm(p->right);
/* now re-try the current node */
if (p->right->sym.type == AND)
goto andright;
break;
}
if (p->left->sym.type == OR)
{
/* skip this "or" and normalize the left subtree */
p->left = norm(p->left);
/* now re-try the current node */
if (p->left->sym.type == AND)
goto andleft;
break;
}
break;
}
return (p);
}
/*
** TRAVERS
** traverse the tree so that conversion of ORs of ANDs can
** take place at the innermost clauses first. IE, normalize
** before replication rather than after replication.
**
** This routine need not be used. The NORM routine will completely
** traverse the tree and normalize it but... TRAVERS finds
** the lowest subtree to normalize first so that sub-trees can
** be normalized before replication, hence reducing the time required
** to normalize large trees. It will also make OR-less trees faster
** to normalize (since nothing need be done to it).
*/
QTREE *
travers(p1)
QTREE *p1;
{
register QTREE *p;
extern QTREE *norm();
p = p1;
if (p->right != NULL)
p->right = travers(p->right);
if (p->left != NULL)
p->left = travers(p->left);
if (p->sym.type == OR)
p = norm(p);
return (p);
}
/*
** NNORM
** this routine depresses nots in the query tree to the lowest possible
** nodes. It may also affect arithmetic operators in this procedure
*/
QTREE *
nnorm(p1)
QTREE *p1;
{
extern QTREE *notpush();
register QTREE *p;
p = p1;
if (p->sym.type == AGHEAD)
{
/*
** don't need to continue past an AGHEAD
** actually, it causes problems if you do
** because the qualification on the agg
** has already been normalized and the
** QLEND needs to stay put
*/
return (p);
}
if ((p->sym.type == UOP) && (p->sym.value.sym_op.opno == opNOT))
{
/* skip not node */
p = p->right;
p = notpush(p);
}
else
{
if (p->left != NULL)
p->left = nnorm(p->left);
if (p->right != NULL)
p->right = nnorm(p->right);
}
return (p);
}
/*
** NOTPUSH
** this routine decides what to do once a not has been found in the
** query tree
*/
QTREE *
notpush(p1)
QTREE *p1;
{
extern QTREE *nnorm();
register QTREE *p;
p = p1;
switch (p->sym.type)
{
case AND:
p->sym.type = OR;
p->left = notpush(p->left);
p->right = notpush(p->right);
break;
case OR:
p->sym.type = AND;
p->left = notpush(p->left);
p->right = notpush(p->right);
break;
case BOP:
switch (p->sym.value.sym_op.opno)
{
case opEQ:
p->sym.value.sym_op.opno = opNE;
break;
case opNE:
p->sym.value.sym_op.opno = opEQ;
break;
case opLT:
p->sym.value.sym_op.opno = opGE;
break;
case opGE:
p->sym.value.sym_op.opno = opLT;
break;
case opLE:
p->sym.value.sym_op.opno = opGT;
break;
case opGT:
p->sym.value.sym_op.opno = opLE;
break;
default:
syserr("strange BOP in notpush '%d'", p->sym.value.sym_op.opno);
}
break;
case UOP:
if (p->sym.value.sym_op.opno == opNOT)
{
/* skip not node */
p = p->right;
p = nnorm(p);
}
else
syserr("strange UOP in notpush '%d'", p->sym.value.sym_op.opno);
break;
default:
syserr("unrecognizable node type in notpush '%d'", p->sym.type);
}
return (p);
}
/*
** ADJUST
** terminate qual with an AND and a QLEND at the rightmost branch
*/
adjust(pp)
QTREE **pp;
{
extern QTREE *tree();
register QTREE *p;
p = *pp;
switch (p->sym.type)
{
case AND:
adjust(&(p->right));
break;
case OR:
default:
*pp = tree(p, tree(NULL, NULL, QLEND, 0, NULL), AND, 0, 0);
break;
}
}
QTREE *
treedup(p)
register QTREE *p;
{
register QTREE *np;
extern char Qbuf[];
if (p == NULL)
return (p);
np = (QTREE *) need(Qbuf, (p->sym.len & I1MASK) + QT_HDR_SIZ);
bmove(p, np, (p->sym.len & I1MASK) + QT_HDR_SIZ);
np->left = treedup(p->left);
np->right = treedup(p->right);
return (np);
}
/*
** MVANDS -- pushes all AND's in Qual into linear list
*/
mvands(andp)
QTREE *andp;
{
register QTREE *ap, *lp, *rp;
ap = andp;
if (ap->sym.type == QLEND)
return;
rp = ap->right;
lp = ap->left;
if (lp->sym.type == AND)
{
ap->left = lp->right;
ap->right = lp;
lp->right = rp;
mvands(ap);
}
else
mvands(rp);
}
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