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b1tlt.c
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1988-11-24
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/* Copyright (c) Stichting Mathematisch Centrum, Amsterdam, 1985. */
/*
$Header: b1tlt.c,v 1.4 85/08/22 16:53:20 timo Exp $
*/
/* generic routines for B texts, lists and tables */
#include "b.h"
#include "b0fea.h"
#include "b1obj.h"
#ifndef INTEGRATION
#include "b0con.h"
#include "b1btr.h"
#include "b1val.h"
#endif
#include "b1tlt.h"
#include "b3err.h"
#ifndef INTEGRATION
/* From b1lta.c */
int l2size();
value l2min(), l2max();
Visible value mk_elt() { /* {}, internal only */
value e = grab_tlt(ELT, Lt);
Root(e) = Bnil;
return e;
}
Visible bool empty(v) value v; { /* #v=0, internal only */
switch (Type(v)) {
case ELT:
case Lis:
case Tex:
case Tab:
return Root(v) EQ Bnil;
default:
return No;
/* Some routines must test empty(t) end return an error
message if it fails, before testing Type(t).
In this way, they won't give the wrong error message. */
}
}
/* return size of (number of items in) dependent tree */
Hidden value treesize(pnode) btreeptr pnode; {
int psize;
value vsize, childsize, u;
intlet l;
psize = Size(pnode);
if (psize EQ Bigsize) {
switch (Flag(pnode)) {
case Inner:
vsize = mk_integer((int) Lim(pnode));
for (l = 0; l <= Lim(pnode); l++) {
childsize = treesize(Ptr(pnode, l));
u = vsize;
vsize = sum(vsize, childsize);
release(u);
release(childsize);
}
break;
case Irange:
u = diff(Upbval(pnode), Lwbval(pnode));
vsize = sum(u, one);
release(u);
break;
case Bottom:
case Crange:
syserr(MESS(1700, "Bigsize in Bottom or Crange"));
}
return(vsize);
}
return mk_integer(psize);
}
Visible value size(t) value t; { /* #t */
int tsize;
switch (Type(t)) {
case ELT:
case Lis:
case Tex:
case Tab:
tsize = Tltsize(t);
if (tsize EQ Bigsize) return treesize(Root(t));
return mk_integer(tsize);
default:
reqerr(MESS(1701, "in #t, t is not a text, list or table"));
return zero;
}
}
Visible value th_of(num, v) value num, v; { /* num th'of v */
value m= Vnil;
if (!Is_tlt(v))
error(MESS(1702, "in n th'of t, t is not a text, list or table"));
else if (!Is_number(num))
error(MESS(1703, "in n th'of t, n is not a number"));
else if (empty(v))
error(MESS(1704, "in n th'of t, t is empty"));
else if (numcomp(num, one) < 0)
error(MESS(1705, "in n th'of t, n is < 1"));
else {
/*RANGES?*/
m= thof(intval(num), v);
if (m == Vnil && still_ok)
error(MESS(1706, "in n th'of t, n exceeds #t"));
}
return m;
}
/*
* 'Walktree' handles functions on texts and associates of tables.
* The actual function performed is determined by the 'visit' function.
* The tree is walked (possibly recursively) and all items are visited.
* The return value of walktree() and visit() is used to determine whether
* the walk should continue (Yes == continue, No == stop now).
* Global variables are used to communicate the result, and the parameters
* of the function. The naming convention is according to "e func t".
*/
Hidden intlet tt; /* type of walked value t */
Hidden intlet wt; /* width of items in walked value t */
Hidden value ve; /* value of e, if func is dyadic */
Hidden char ce; /* C char in e, if t is a text */
Hidden int count; /* result of size2 */
Hidden bool found; /* result for in */
Hidden intlet m_char; /* result for min/max on texts */
Hidden value m_val; /* result for min/max on tables */
#define Lowchar (-Maxintlet) /* -infinity for characters */
#define Highchar (Maxintlet) /* +infinity */
Hidden bool walktree(p, visit) btreeptr p; bool (*visit)(); {
intlet l;
if (p EQ Bnil) return Yes; /* i.e., not found (used by in() !) */
for (l=0; l < Lim(p); l++) {
switch (Flag(p)) {
case Inner:
if (!walktree(Ptr(p, l), visit) || !still_ok)
return No;
if (!(*visit)(Piitm(p, l, wt)) || !still_ok)
return No;
break;
case Bottom:
if (!(*visit)(Pbitm(p, l, wt)) || !still_ok)
return No;
}
}
return Flag(p) EQ Bottom || walktree(Ptr(p, l), visit);
}
/* Common code for min/max-1/2, size2, in. */
Hidden Procedure tlt_func(e, t, where, li_func, te_visit, ta_visit)
value e, t; /* [e] func t */
string where; /* "in [e] func_name t" */
value (*li_func)(); /* func for lists */
bool (*te_visit)(), (*ta_visit)(); /* 'visit' for walktree */
{
m_val = Vnil;
if (empty(t)) {
error3(MESSMAKE(where), Vnil, MESS(1707, ", t is empty"));
return;
}
wt = Itemwidth(Itemtype(t));
tt = Type(t);
switch (tt) {
case Lis:
m_val = (*li_func)(e, t);
break;
case Tex:
if (e NE Vnil) {
if (!Character(e)) {
error3(MESSMAKE(where), Vnil,
MESS(1708, ", t is a text, but e is not a character"));
return;
}
ce = Bchar(Root(e), 0);
}
found = !walktree(Root(t), te_visit);
if (m_char NE Lowchar && m_char NE Highchar)
m_val = mkchar(m_char);
break;
case Tab:
ve = e;
found = !walktree(Root(t), ta_visit);
break;
default:
error3(MESSMAKE(where), Vnil,
MESS(1709, ", t is not a text list or table"));
}
}
Hidden value li2size(e, t) value e, t; {
count = l2size(e, t);
return Vnil;
}
Hidden bool te2size(pitm) itemptr pitm; {
if (ce EQ Charval(pitm))
count++;
return Yes;
}
Hidden bool ta2size(pitm) itemptr pitm; {
if (compare(ve, Ascval(pitm)) EQ 0)
count++;
return Yes;
}
Visible value size2(e, t) value e, t; { /* e#t */
if (empty(t)) /* Must check here because tlt_func would complain */
return copy(zero);
m_char = Lowchar;
count = 0;
tlt_func(e, t, "in e#t", li2size, te2size, ta2size);
return mk_integer(count);
}
Hidden value li_in(e, t) value e, t; {
found = in_keys(e, t);
return Vnil;
}
Hidden bool te_in(pitm) itemptr pitm; {
return Charval(pitm) NE ce;
}
Hidden bool ta_in(pitm) itemptr pitm; {
return compare(ve, Ascval(pitm)) NE 0;
}
Visible bool in(e, t) value e, t; {
if (empty(t)) /* Must check here because tlt_func would complain */
return No;
m_char = Lowchar;
found = No;
tlt_func(e, t, "in the test e in t", li_in, te_in, ta_in);
return found;
}
Hidden value li_min(e, t) value e, t; {
return th_of(one, t);
}
Hidden bool te_min(pitm) itemptr pitm; {
if (m_char > Charval(pitm))
m_char = Charval(pitm);
return Yes;
}
Hidden bool ta_min(pitm) itemptr pitm; {
if (m_val EQ Vnil || compare(m_val, Ascval(pitm)) > 0) {
release(m_val);
m_val = copy(Ascval(pitm));
}
return Yes;
}
Visible value min1(t) value t; {
m_char = Highchar;
tlt_func(Vnil, t, "in min t", li_min, te_min, ta_min);
return m_val;
}
Hidden value li_max(e, t) value e, t; {
value v= size(t);
m_val = th_of(v, t);
release(v);
return m_val;
}
Hidden bool te_max(pitm) itemptr pitm; {
if (m_char < Charval(pitm))
m_char = Charval(pitm);
return Yes;
}
Hidden bool ta_max(pitm) itemptr pitm; {
if (m_val EQ Vnil || compare(Ascval(pitm), m_val) > 0) {
release(m_val);
m_val = copy(Ascval(pitm));
}
return Yes;
}
Visible value max1(t) value t; {
m_char = Lowchar;
tlt_func(Vnil, t, "in max t", li_max, te_max, ta_max);
return m_val;
}
Hidden bool te2min(pitm) itemptr pitm; {
if (m_char > Charval(pitm) && Charval(pitm) > ce) {
m_char = Charval(pitm);
}
return Yes;
}
Hidden bool ta2min(pitm) itemptr pitm; {
if (compare(Ascval(pitm), ve) > 0
&&
(m_val EQ Vnil || compare(m_val, Ascval(pitm)) > 0)) {
release(m_val);
m_val = copy(Ascval(pitm));
}
return Yes;
}
Visible value min2(e, t) value e, t; {
m_char = Highchar;
tlt_func(e, t, "in e min t", l2min, te2min, ta2min);
if (m_val EQ Vnil && still_ok)
reqerr(MESS(1710, "in e min t, no element of t exceeds e"));
return m_val;
}
/*+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
Hidden bool te2max(pitm) itemptr pitm; {
if (ce > Charval(pitm) && Charval(pitm) > m_char) {
m_char = Charval(pitm);
}
return Yes;
}
Hidden bool ta2max(pitm) itemptr pitm; {
if (compare(ve, Ascval(pitm)) > 0
&&
(m_val EQ Vnil || compare(Ascval(pitm), m_val) > 0)) {
release(m_val);
m_val = copy(Ascval(pitm));
}
return Yes;
}
Visible value max2(e, t) value e, t; {
m_char = Lowchar;
tlt_func(e, t, "in e max t", l2max, te2max, ta2max);
if (m_val EQ Vnil && still_ok)
reqerr(MESS(1711, "in e max t, no element of t is less than e"));
return m_val;
}
#else INTEGRATION
Visible value mk_elt() { return grab_elt(); }
Visible value size(x) value x; { /* monadic # operator */
if (!Is_tlt(x))
error(MESS(1712, "in #t, t is not a text, list or table"));
return mk_integer((int) Length(x));
}
#define Lisent(tp,k) (*(tp+(k)))
Visible value size2(v, t) value v, t; { /* Dyadic # operator */
intlet len= Length(t), n= 0, k; value *tp= Ats(t);
if (!Is_tlt(t)) {
error(MESS(1713, "in e#t, t is not a text, list or table"));
return mk_integer((int) n);
}
switch (Type(t)) {
case Tex:
{string cp= (string)tp; char c;
if (Type(v) != Tex)
error(MESS(1714, "in e#t, t is a text but e is not"));
if (Length(v) != 1)
error(MESS(1715, "in e#t, e is a text but not a character"));
c= *Str(v);
Overall if (*cp++ == c) n++;
} break;
case ELT:
break;
case Lis:
{intlet lo= -1, mi, xx, mm, hi= len; relation c;
bins: if (hi-lo < 2) break;
mi= (lo+hi)/2;
if ((c= compare(v, Lisent(tp,mi))) == 0) goto some;
if (c < 0) hi= mi; else lo= mi;
goto bins;
some: xx= mi;
while (xx-lo > 1) {
mm= (lo+xx)/2;
if (compare(v, Lisent(tp,mm)) == 0) xx= mm;
else lo= mm;
}
xx= mi;
while (hi-xx > 1) {
mm= (xx+hi)/2;
if (compare(v, Lisent(tp,mm)) == 0) xx= mm;
else hi= mm;
}
n= hi-lo-1;
} break;
case Tab:
Overall if (compare(v, Dts(*tp++)) == 0) n++;
break;
default:
syserr(MESS(1716, "e#t with non text, list or table"));
break;
}
return mk_integer((int) n);
}
Hidden bool less(r) relation r; { return r<0; }
Hidden bool greater(r) relation r; { return r>0; }
Hidden value mm1(t, rel) value t; bool (*rel)(); {
intlet len= Length(t), k; value m, *tp= Ats(t);
switch (Type(t)) {
case Tex:
{string cp= (string) tp; char mc= '\0', mm[2];
Overall {
if (mc == '\0' || ((*rel)(*cp < mc ? -1 : (*cp > mc ? 1 : 0))))
mc= *cp;
cp++;
}
mm[0]= mc; mm[1]= '\0';
m= mk_text(mm);
} break;
case Lis:
if ((*rel)(-1)) /*min*/ m= copy(*Ats(t));
else m= copy(*(Ats(t)+len-1));
break;
case Tab:
{value dm= Vnil;
Overall {
if (dm == Vnil || (*rel)(compare(Dts(*tp), dm)))
dm= Dts(*tp);
tp++;
}
m= copy(dm);
} break;
default:
syserr(MESS(1717, "min or max t, with non text, list or table"));
}
return m;
}
#ifdef NO_ABS
Hidden int abs(i) int i; {
return i >= 0 ? i : -i;
}
#endif
Hidden value mm2(v, t, rel) value v, t; bool (*rel)(); {
intlet len= Length(t), k; value m= Vnil, *tp= Ats(t);
switch (Type(t)) {
case Tex:
{string cp= (string) tp; char c, mc= '\0', mm[2];
c= *Str(v);
Overall {
if ((*rel)(c < *cp ? -1 : c > *cp ? 1 : 0)) {
if (mc == '\0' || (*rel)(*cp < mc ? -1 : *cp>mc ? 1 : 0))
mc= *cp;
}
cp++;
}
if (mc != '\0') {
mm[0]= mc; mm[1]= '\0';
m= mk_text(mm);
}
} break;
case Lis:
{intlet lim1, mid, lim2;
if ((*rel)(-1)) { /*min*/
lim1= 1; lim2= len-1;
} else {
lim2= 1; lim1= len-1;
}
if (!(*rel)(compare(v, Lisent(tp,lim2)))) break;
if (len == 1 || (*rel)(compare(v, Lisent(tp,lim1)))) {
m= copy(Lisent(tp,lim1));
break;
}
/* v rel tp[lim2] && !(v rel tp[lim1]) */
while (abs(lim2-lim1) > 1) {
mid= (lim1+lim2)/2;
if ((*rel)(compare(v, Lisent(tp,mid)))) lim2= mid;
else lim1= mid;
}
m= copy(Lisent(tp,lim2));
} break;
case Tab:
{value dm= Vnil;
Overall {
if ((*rel)(compare(v, Dts(*tp)))) {
if (dm == Vnil ||
(*rel)(compare(Dts(*tp), dm)))
dm= Dts(*tp);
}
tp++;
}
if (dm != Vnil) m= copy(dm);
} break;
default:
syserr(MESS(1718, "min2 or max2 with non text, list or table"));
break;
}
return m;
}
Visible value min1(t) value t; { /* Monadic min */
value m= Vnil;
if (!Is_tlt(t))
error(MESS(1719, "in min t, t is not a text, list or table"));
else if (Length(t) == 0)
error(MESS(1720, "in min t, t is empty"));
else m= mm1(t, less);
return m;
}
Visible value min2(v, t) value v, t; {
value m= Vnil;
if (!Is_tlt(t))
error(MESS(1721, "in e min t, t is not a text, list or table"));
else if (Length(t) == 0)
error(MESS(1722, "in e min t, t is empty"));
else if (Is_text(t)) {
if (!Is_text(v))
error(MESS(1723, "in e min t, t is a text but e is not"));
else if (Length(v) != 1)
error(MESS(1724, "in e min t, e is a text but not a character"));
}
if (still_ok) {
m= mm2(v, t, less);
if (m == Vnil)
error(MESS(1725, "in e min t, no element of t exceeds e"));
}
return m;
}
Visible value max1(t) value t; {
value m= Vnil;
if (!Is_tlt(t))
error(MESS(1726, "in max t, t is not a text, list or table"));
else if (Length(t) == 0)
error(MESS(1727, "in max t, t is empty"));
else m= mm1(t, greater);
return m;
}
Visible value max2(v, t) value v, t; {
value m= Vnil;
if (!Is_tlt(t))
error(MESS(1728, "in e max t, t is not a text, list or table"));
else if (Length(t) == 0)
error(MESS(1729, "in e max t, t is empty"));
else if (Is_text(t)) {
if (!Is_text(v))
error(MESS(1730, "in e max t, t is a text but e is not"));
else if (Length(v) != 1)
error(MESS(1731, "in e max t, e is a text but not a character"));
}
if (still_ok) {
m= mm2(v, t, greater);
if (m == Vnil)
error(MESS(1732, "in e max t, no element of t is less than e"));
}
return m;
}
Visible value th_of(n, t) value n, t; {
return thof(intval(n), t);
}
Visible value thof(n, t) int n; value t; {
intlet len= Length(t); value w= Vnil;
if (!Is_tlt(t))
error(MESS(1733, "in n th'of t, t is not a text, list or table"));
else if (n <= 0 || n > len)
error(MESS(1734, "in n th'of t, n is out of bounds"));
else {
switch (Type(t)) {
case Tex:
{char ww[2];
ww[0]= *(Str(t)+n-1); ww[1]= '\0';
w= mk_text(ww);
} break;
case Lis:
w= copy(*(Ats(t)+n-1));
break;
case Tab:
w= copy(Dts(*(Ats(t)+n-1)));
break;
default:
syserr(MESS(1735, "th'of with non text, list or table"));
}
}
return w;
}
Visible bool found(elem, v, probe, where)
value (*elem)(), v, probe; intlet *where;
/* think of elem(v,lo-1) as -Infinity and elem(v,hi+1) as +Infinity.
found and where at the end satisfy:
SELECT:
SOME k IN {lo..hi} HAS probe = elem(v,k):
found = Yes AND where = k
ELSE: found = No AND elem(v,where-1) < probe < elem(v,where).
*/
{relation c; intlet lo=0, hi= Length(v)-1;
if (lo > hi) { *where= lo; return No; }
if ((c= compare(probe, (*elem)(v, lo))) == 0) {*where= lo; return Yes; }
if (c < 0) { *where=lo; return No; }
if (lo == hi) { *where=hi+1; return No; }
if ((c= compare(probe, (*elem)(v, hi))) == 0) { *where=hi; return Yes; }
if (c > 0) { *where=hi+1; return No; }
/* elem(lo) < probe < elem(hi) */
while (hi-lo > 1) {
if ((c= compare(probe, (*elem)(v, (lo+hi)/2))) == 0) {
*where= (lo+hi)/2; return Yes;
}
if (c < 0) hi= (lo+hi)/2; else lo= (lo+hi)/2;
}
*where= hi; return No;
}
Visible bool in(v, t) value v, t; {
intlet where, k, len= Length(t); value *tp= Ats(t);
if (!Is_tlt(t)) {
error(MESS(1736, "in the test e in t, t is not a text, list or table"));
return No;
}
switch (Type(t)) {
case Tex:
if (Type(v) != Tex)
error(MESS(1737, "in the test e in t, t is a text but e is not"));
else if (Length(v) != 1)
error(MESS(1738, "in the test e in t, e is a text but not a character"));
else return index((string) tp, *Str(v)) != 0;
return No;
case ELT:
return No;
case Lis:
return found(list_elem, t, v, &where);
case Tab:
Overall if (compare(v, Dts(*tp++)) == 0) return Yes;
return No;
default:
syserr(MESS(1739, "e in t with non text, list or table"));
return No;
}
}
Visible bool empty(v) value v; {
switch (Type(v)) {
case Tex:
case Lis:
case Tab:
case ELT:
return (Length(v) == 0);
default:
syserr(MESS(1740, "empty() on non tlt value"));
return (No);
}
}
#endif INTEGRATION