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argument.c
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/** @file argument.c
*
* Contains the routines that deal with the execution phase of the argument
* and related statements (like term)
*/
/* #[ License : */
/*
* Copyright (C) 1984-2022 J.A.M. Vermaseren
* When using this file you are requested to refer to the publication
* J.A.M.Vermaseren "New features of FORM" math-ph/0010025
* This is considered a matter of courtesy as the development was paid
* for by FOM the Dutch physics granting agency and we would like to
* be able to track its scientific use to convince FOM of its value
* for the community.
*
* This file is part of FORM.
*
* FORM is free software: you can redistribute it and/or modify it under the
* terms of the GNU General Public License as published by the Free Software
* Foundation, either version 3 of the License, or (at your option) any later
* version.
*
* FORM is distributed in the hope that it will be useful, but WITHOUT ANY
* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along
* with FORM. If not, see <http://www.gnu.org/licenses/>.
*/
/* #] License : */
/*
#[ include : argument.c
*/
#include "form3.h"
/*
#] include :
#[ execarg :
Executes the subset of statements in an argument environment.
The calling routine should be of the type
if ( C->lhs[level][0] == TYPEARG ) {
if ( execarg(term,level) ) goto GenCall;
level = C->lhs[level][2];
goto SkipCount;
}
Note that there will be cases in which extra space is needed.
In addition the compare with C->numlhs isn't very fine, because we
need to insert a different value (C->lhs[level][2]).
*/
WORD execarg(PHEAD WORD *term, WORD level)
{
GETBIDENTITY
WORD *t, *r, *m, *v;
WORD *start, *stop, *rstop, *r1, *r2 = 0, *r3 = 0, *r4, *r5, *r6, *r7, *r8, *r9;
WORD *mm, *mstop, *rnext, *rr, *factor, type, ngcd, nq;
CBUF *C = cbuf+AM.rbufnum, *CC = cbuf+AT.ebufnum;
WORD i, j, k, oldnumlhs = AR.Cnumlhs, count, action = 0, olddefer = AR.DeferFlag;
WORD oldnumrhs = CC->numrhs, size, pow, jj;
LONG oldcpointer = CC->Pointer - CC->Buffer, oldppointer = AT.pWorkPointer, lp;
WORD *oldwork = AT.WorkPointer, *oldwork2, scale, renorm;
WORD kLCM = 0, kGCD = 0, kGCD2, kkLCM = 0, jLCM = 0, jGCD, sign = 1;
int ii, didpolyratfun;
UWORD *EAscrat, *GCDbuffer = 0, *GCDbuffer2, *LCMbuffer, *LCMb, *LCMc;
AT.WorkPointer += *term;
start = C->lhs[level];
AR.Cnumlhs = start[2];
stop = start + start[1];
type = *start;
scale = start[4];
renorm = start[5];
start += TYPEARGHEADSIZE;
/*
#[ Dollars :
*/
if ( renorm && start[1] != 0 ) {/* We have to evaluate $ symbols inside () */
t = start+1; factor = oldwork2 = v = AT.WorkPointer;
i = *t; t++;
*v++ = i+3; i--; NCOPY(v,t,i);
*v++ = 1; *v++ = 1; *v++ = 3;
AT.WorkPointer = v;
start = t; AR.Eside = LHSIDEX;
NewSort(BHEAD0);
if ( Generator(BHEAD factor,AR.Cnumlhs) ) {
LowerSortLevel();
AT.WorkPointer = oldwork;
return(-1);
}
AT.WorkPointer = v;
if ( EndSort(BHEAD factor,0) < 0 ) {}
if ( *factor && *(factor+*factor) != 0 ) {
MLOCK(ErrorMessageLock);
MesPrint("&$ in () does not evaluate into a single term");
MUNLOCK(ErrorMessageLock);
return(-1);
}
AR.Eside = RHSIDE;
if ( *factor > 0 ) {
v = factor+*factor;
v -= ABS(v[-1]);
*factor = v-factor;
}
AT.WorkPointer = v;
}
else {
if ( *start < 0 ) {
factor = start + 1;
start += -*start;
}
else factor = 0;
}
/*
#] Dollars :
*/
t = term;
r = t + *t;
rstop = r - ABS(r[-1]);
t++;
/*
#[ Argument detection : + argument statement
*/
didpolyratfun = 0;
while ( t < rstop ) {
if ( *t >= FUNCTION && functions[*t-FUNCTION].spec <= 0 ) {
/*
We have a function. First count the number of arguments.
Tensors are excluded.
*/
count = 0;
v = t;
m = t + FUNHEAD;
r = t + t[1];
while ( m < r ) {
count++;
NEXTARG(m)
}
if ( count <= 0 ) { t += t[1]; continue; }
/*
Now we take the arguments one by one and test for a match
*/
for ( i = 1; i <= count; i++ ) {
m = start;
while ( m < stop ) {
r = m + m[1];
j = *r++;
if ( j > 1 ) {
while ( --j > 0 ) {
if ( *r == i ) goto RightNum;
r++;
}
m = r;
continue;
}
RightNum:
if ( m[1] == 2 ) {
m += 2;
m += *m;
goto HaveTodo;
}
else {
r = m + m[1];
m += 2;
while ( m < r ) {
if ( *m == CSET ) {
r1 = SetElements + Sets[m[1]].first;
r2 = SetElements + Sets[m[1]].last;
while ( r1 < r2 ) {
if ( *r1++ == *t ) goto HaveTodo;
}
}
else if ( m[1] == *t ) goto HaveTodo;
m += 2;
}
}
m += *m;
}
continue;
HaveTodo:
/*
If we come here we have to do the argument i (first is 1).
*/
sign = 1;
action = 1;
if ( *t == AR.PolyFun ) didpolyratfun = 1;
v[2] |= DIRTYFLAG;
r = t + FUNHEAD;
j = i;
while ( --j > 0 ) { NEXTARG(r) }
if ( ( type == TYPESPLITARG ) || ( type == TYPESPLITFIRSTARG )
|| ( type == TYPESPLITLASTARG ) ) {
if ( *t > FUNCTION && *r > 0 ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
}
continue;
}
else if ( type == TYPESPLITARG2 ) {
if ( *t > FUNCTION && *r > 0 ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
}
continue;
}
else if ( type == TYPEFACTARG || type == TYPEFACTARG2 ) {
if ( *t > FUNCTION || *t == DENOMINATOR ) {
if ( *r > 0 ) {
mm = r + ARGHEAD; mstop = r + *r;
if ( mm + *mm < mstop ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
if ( *mm == 1+ABS(mstop[-1]) ) continue;
if ( mstop[-3] != 1 || mstop[-2] != 1
|| mstop[-1] != 3 ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
GETSTOP(mm,mstop); mm++;
if ( mm + mm[1] < mstop ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
if ( *mm == SYMBOL && ( mm[1] > 4 ||
( mm[3] != 1 && mm[3] != -1 ) ) ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
else if ( *mm == DOTPRODUCT && ( mm[1] > 5 ||
( mm[4] != 1 && mm[4] != -1 ) ) ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
else if ( ( *mm == DELTA || *mm == VECTOR )
&& mm[1] > 4 ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
}
else if ( factor && *factor == 4 && factor[2] == 1 ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
else if ( factor && *factor == 0
&& ( *r == -SNUMBER && r[1] != 1 ) ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
else if ( *r == -MINVECTOR ) {
WantAddPointers(2);
AT.pWorkSpace[AT.pWorkPointer++] = t;
AT.pWorkSpace[AT.pWorkPointer++] = r;
continue;
}
}
continue;
}
else if ( type == TYPENORM || type == TYPENORM2 || type == TYPENORM3 || type == TYPENORM4 ) {
if ( *r < 0 ) {
WORD rone;
if ( *r == -MINVECTOR ) { rone = -1; *r = -INDEX; }
else if ( *r != -SNUMBER || r[1] == 1 || r[1] == 0 ) continue;
else { rone = r[1]; r[1] = 1; }
/*
Now we must multiply the general coefficient by r[1]
*/
if ( scale && ( factor == 0 || *factor ) ) {
action = 1;
v[2] |= DIRTYFLAG;
if ( rone < 0 ) {
if ( type == TYPENORM3 ) k = 1;
else k = -1;
rone = -rone;
}
else k = 1;
r1 = term + *term;
size = r1[-1];
size = REDLENG(size);
if ( scale > 0 ) {
for ( jj = 0; jj < scale; jj++ ) {
if ( Mully(BHEAD (UWORD *)rstop,&size,(UWORD *)(&rone),k) )
goto execargerr;
}
}
else {
for ( jj = 0; jj > scale; jj-- ) {
if ( Divvy(BHEAD (UWORD *)rstop,&size,(UWORD *)(&rone),k) )
goto execargerr;
}
}
size = INCLENG(size);
k = size < 0 ? -size: size;
rstop[k-1] = size;
*term = (WORD)(rstop - term) + k;
}
continue;
}
/*
Now we have to find a reference term.
If factor is defined and *factor != 0 we have to
look for the first term that matches the pattern exactly
Otherwise the first term plays this role
If its coefficient is not one,
we must set up a division of the whole argument by
this coefficient, and a multiplication of the term
when the type is not equal to TYPENORM2.
We first multiply the coefficient of the term.
Then we set up the division.
First find the magic term
*/
if ( type == TYPENORM4 ) {
/*
For normalizing everything to integers we have to
determine for all elements of this argument the LCM of
the denominators and the GCD of the numerators.
*/
GCDbuffer = NumberMalloc("execarg");
GCDbuffer2 = NumberMalloc("execarg");
LCMbuffer = NumberMalloc("execarg");
LCMb = NumberMalloc("execarg"); LCMc = NumberMalloc("execarg");
r4 = r + *r;
r1 = r + ARGHEAD;
/*
First take the first term to load up the LCM and the GCD
*/
r2 = r1 + *r1;
j = r2[-1];
if ( j < 0 ) sign = -1;
r3 = r2 - ABS(j);
k = REDLENG(j);
if ( k < 0 ) k = -k;
while ( ( k > 1 ) && ( r3[k-1] == 0 ) ) k--;
for ( kGCD = 0; kGCD < k; kGCD++ ) GCDbuffer[kGCD] = r3[kGCD];
k = REDLENG(j);
if ( k < 0 ) k = -k;
r3 += k;
while ( ( k > 1 ) && ( r3[k-1] == 0 ) ) k--;
for ( kLCM = 0; kLCM < k; kLCM++ ) LCMbuffer[kLCM] = r3[kLCM];
r1 = r2;
/*
Now go through the rest of the terms in this argument.
*/
while ( r1 < r4 ) {
r2 = r1 + *r1;
j = r2[-1];
r3 = r2 - ABS(j);
k = REDLENG(j);
if ( k < 0 ) k = -k;
while ( ( k > 1 ) && ( r3[k-1] == 0 ) ) k--;
if ( ( ( GCDbuffer[0] == 1 ) && ( kGCD == 1 ) ) ) {
/*
GCD is already 1
*/
}
else if ( ( ( k != 1 ) || ( r3[0] != 1 ) ) ) {
if ( GcdLong(BHEAD GCDbuffer,kGCD,(UWORD *)r3,k,GCDbuffer2,&kGCD2) ) {
NumberFree(GCDbuffer,"execarg");
NumberFree(GCDbuffer2,"execarg");
NumberFree(LCMbuffer,"execarg");
NumberFree(LCMb,"execarg"); NumberFree(LCMc,"execarg");
goto execargerr;
}
kGCD = kGCD2;
for ( ii = 0; ii < kGCD; ii++ ) GCDbuffer[ii] = GCDbuffer2[ii];
}
else {
kGCD = 1; GCDbuffer[0] = 1;
}
k = REDLENG(j);
if ( k < 0 ) k = -k;
r3 += k;
while ( ( k > 1 ) && ( r3[k-1] == 0 ) ) k--;
if ( ( ( LCMbuffer[0] == 1 ) && ( kLCM == 1 ) ) ) {
for ( kLCM = 0; kLCM < k; kLCM++ )
LCMbuffer[kLCM] = r3[kLCM];
}
else if ( ( k != 1 ) || ( r3[0] != 1 ) ) {
if ( GcdLong(BHEAD LCMbuffer,kLCM,(UWORD *)r3,k,LCMb,&kkLCM) ) {
NumberFree(GCDbuffer,"execarg"); NumberFree(GCDbuffer2,"execarg");
NumberFree(LCMbuffer,"execarg"); NumberFree(LCMb,"execarg"); NumberFree(LCMc,"execarg");
goto execargerr;
}
DivLong((UWORD *)r3,k,LCMb,kkLCM,LCMb,&kkLCM,LCMc,&jLCM);
MulLong(LCMbuffer,kLCM,LCMb,kkLCM,LCMc,&jLCM);
for ( kLCM = 0; kLCM < jLCM; kLCM++ )
LCMbuffer[kLCM] = LCMc[kLCM];
}
else {} /* LCM doesn't change */
r1 = r2;
}
/*
Now put the factor together: GCD/LCM
*/
r3 = (WORD *)(GCDbuffer);
if ( kGCD == kLCM ) {
for ( jGCD = 0; jGCD < kGCD; jGCD++ )
r3[jGCD+kGCD] = LCMbuffer[jGCD];
k = kGCD;
}
else if ( kGCD > kLCM ) {
for ( jGCD = 0; jGCD < kLCM; jGCD++ )
r3[jGCD+kGCD] = LCMbuffer[jGCD];
for ( jGCD = kLCM; jGCD < kGCD; jGCD++ )
r3[jGCD+kGCD] = 0;
k = kGCD;
}
else {
for ( jGCD = kGCD; jGCD < kLCM; jGCD++ )
r3[jGCD] = 0;
for ( jGCD = 0; jGCD < kLCM; jGCD++ )
r3[jGCD+kLCM] = LCMbuffer[jGCD];
k = kLCM;
}
/* NumberFree(GCDbuffer,"execarg"); GCDbuffer = 0; */
NumberFree(GCDbuffer2,"execarg");
NumberFree(LCMbuffer,"execarg");
NumberFree(LCMb,"execarg"); NumberFree(LCMc,"execarg");
j = 2*k+1;
/*
Now we have to correct the overal factor
We have a little problem here.
r3 is in GCDbuffer and we returned that.
At the same time we still use it.
This works as long as each worker has its own TermMalloc
*/
if ( scale && ( factor == 0 || *factor > 0 ) )
goto ScaledVariety;
/*
The if was added 28-nov-2012 to give MakeInteger also
the (0) option.
*/
if ( scale && ( factor == 0 || *factor ) ) {
size = term[*term-1];
size = REDLENG(size);
if ( MulRat(BHEAD (UWORD *)rstop,size,(UWORD *)r3,k,
(UWORD *)rstop,&size) ) goto execargerr;
size = INCLENG(size);
k = size < 0 ? -size: size;
rstop[k-1] = size*sign;
*term = (WORD)(rstop - term) + k;
}
}
else {
if ( factor && *factor >= 1 ) {
r4 = r + *r;
r1 = r + ARGHEAD;
while ( r1 < r4 ) {
r2 = r1 + *r1;
r3 = r2 - ABS(r2[-1]);
j = r3 - r1;
r5 = factor;
if ( j != *r5 ) { r1 = r2; continue; }
r5++; r6 = r1+1;
while ( --j > 0 ) {
if ( *r5 != *r6 ) break;
r5++; r6++;
}
if ( j > 0 ) { r1 = r2; continue; }
break;
}
if ( r1 >= r4 ) continue;
}
else {
r1 = r + ARGHEAD;
r2 = r1 + *r1;
r3 = r2 - ABS(r2[-1]);
}
if ( *r3 == 1 && r3[1] == 1 ) {
if ( r2[-1] == 3 ) continue;
if ( r2[-1] == -3 && type == TYPENORM3 ) continue;
}
action = 1;
v[2] |= DIRTYFLAG;
j = r2[-1];
k = REDLENG(j);
if ( j < 0 ) j = -j;
if ( type == TYPENORM && scale && ( factor == 0 || *factor ) ) {
/*
Now we correct the overal factor
*/
ScaledVariety:;
size = term[*term-1];
size = REDLENG(size);
if ( scale > 0 ) {
for ( jj = 0; jj < scale; jj++ ) {
if ( MulRat(BHEAD (UWORD *)rstop,size,(UWORD *)r3,k,
(UWORD *)rstop,&size) ) goto execargerr;
}
}
else {
for ( jj = 0; jj > scale; jj-- ) {
if ( DivRat(BHEAD (UWORD *)rstop,size,(UWORD *)r3,k,
(UWORD *)rstop,&size) ) goto execargerr;
}
}
size = INCLENG(size);
k = size < 0 ? -size: size;
rstop[k-1] = size*sign;
*term = (WORD)(rstop - term) + k;
}
}
/*
We generate a statement for adapting all terms in the
argument sucessively
*/
r4 = AddRHS(AT.ebufnum,1);
while ( (r4+j+12) > CC->Top ) r4 = DoubleCbuffer(AT.ebufnum,r4,3);
*r4++ = j+1;
i = (j-1)/2; /* was (j-1)*2 ????? 17-oct-2017 */
for ( k = 0; k < i; k++ ) *r4++ = r3[i+k];
for ( k = 0; k < i; k++ ) *r4++ = r3[k];
if ( ( type == TYPENORM3 ) || ( type == TYPENORM4 ) ) *r4++ = j*sign;
else *r4++ = r3[j-1];
*r4++ = 0;
CC->rhs[CC->numrhs+1] = r4;
CC->Pointer = r4;
AT.mulpat[5] = CC->numrhs;
AT.mulpat[7] = AT.ebufnum;
}
else if ( type == TYPEARGTOEXTRASYMBOL ) {
WORD n;
if ( r[0] < 0 ) {
/* The argument is in the fast notation. */
WORD tmp[MaX(9,FUNHEAD+5)];
switch ( r[0] ) {
case -SNUMBER:
if ( r[1] == 0 ) {
tmp[0] = 0;
}
else {
tmp[0] = 4;
tmp[1] = ABS(r[1]);
tmp[2] = 1;
tmp[3] = r[1] > 0 ? 3 : -3;
tmp[4] = 0;
}
break;
case -SYMBOL:
tmp[0] = 8;
tmp[1] = SYMBOL;
tmp[2] = 4;
tmp[3] = r[1];
tmp[4] = 1;
tmp[5] = 1;
tmp[6] = 1;
tmp[7] = 3;
tmp[8] = 0;
break;
case -INDEX:
case -VECTOR:
case -MINVECTOR:
tmp[0] = 7;
tmp[1] = INDEX;
tmp[2] = 3;
tmp[3] = r[1];
tmp[4] = 1;
tmp[5] = 1;
tmp[6] = r[0] != -MINVECTOR ? 3 : -3;
tmp[7] = 0;
break;
default:
if ( r[0] <= -FUNCTION ) {
tmp[0] = FUNHEAD+4;
tmp[1] = -r[0];
tmp[2] = FUNHEAD;
ZeroFillRange(tmp,3,1+FUNHEAD);
tmp[FUNHEAD+1] = 1;
tmp[FUNHEAD+2] = 1;
tmp[FUNHEAD+3] = 3;
tmp[FUNHEAD+4] = 0;
break;
}
else {
MLOCK(ErrorMessageLock);
MesPrint("Unknown fast notation found (TYPEARGTOEXTRASYMBOL)");
MUNLOCK(ErrorMessageLock);
return(-1);
}
}
n = FindSubexpression(tmp);
}
else {
/*
* NOTE: writing to r[r[0]] is legal. As long as we work
* in a part of the term, at least the coefficient of
* the term must follow.
*/
WORD old_rr0 = r[r[0]];
r[r[0]] = 0; /* zero-terminated */
n = FindSubexpression(r+ARGHEAD);
r[r[0]] = old_rr0;
}
/* Put the new argument in the work space. */
if ( AT.WorkPointer+2 > AT.WorkTop ) {
MLOCK(ErrorMessageLock);
MesWork();
MUNLOCK(ErrorMessageLock);
return(-1);
}
r1 = AT.WorkPointer;
if ( scale ) { /* means "tonumber" */
r1[0] = -SNUMBER;
r1[1] = n;
}
else {
r1[0] = -SYMBOL;
r1[1] = MAXVARIABLES-n;
}
/* We need r2, r3, m and k to shift the data. */
r2 = r + (r[0] > 0 ? r[0] : r[0] <= -FUNCTION ? 1 : 2);
r3 = r;
m = r1+ARGHEAD+2;
k = 2;
goto do_shift;
}
r3 = r;
AR.DeferFlag = 0;
if ( *r > 0 ) {
NewSort(BHEAD0);
action = 1;
r2 = r + *r;
r += ARGHEAD;
while ( r < r2 ) { /* Sum over the terms */
m = AT.WorkPointer;
j = *r;
while ( --j >= 0 ) *m++ = *r++;
r1 = AT.WorkPointer;
AT.WorkPointer = m;
/*
What to do with dummy indices?
*/
if ( type == TYPENORM || type == TYPENORM2 || type == TYPENORM3 || type == TYPENORM4 ) {
if ( MultDo(BHEAD r1,AT.mulpat) ) goto execargerr;
AT.WorkPointer = r1 + *r1;
}
if ( Generator(BHEAD r1,level) ) goto execargerr;
AT.WorkPointer = r1;
}
}
else {
r2 = r + (( *r <= -FUNCTION ) ? 1:2);
r1 = AT.WorkPointer;
ToGeneral(r,r1,0);
m = r1 + ARGHEAD;
AT.WorkPointer = r1 + *r1;
NewSort(BHEAD0);
action = 1;
/*
What to do with dummy indices?
*/
if ( type == TYPENORM || type == TYPENORM2 || type == TYPENORM3 || type == TYPENORM4 ) {
if ( MultDo(BHEAD m,AT.mulpat) ) goto execargerr;
AT.WorkPointer = m + *m;
}
if ( (*m != 0 ) && Generator(BHEAD m,level) ) goto execargerr;
AT.WorkPointer = r1;
}
if ( EndSort(BHEAD AT.WorkPointer+ARGHEAD,1) < 0 ) goto execargerr;
AR.DeferFlag = olddefer;
/*
Now shift the sorted entity over the old argument.
*/
m = AT.WorkPointer+ARGHEAD;
while ( *m ) m += *m;
k = WORDDIF(m,AT.WorkPointer);
*AT.WorkPointer = k;
AT.WorkPointer[1] = 0;
if ( ToFast(AT.WorkPointer,AT.WorkPointer) ) {
if ( *AT.WorkPointer <= -FUNCTION ) k = 1;
else k = 2;
}
do_shift:
if ( *r3 > 0 ) j = k - *r3;
else if ( *r3 <= -FUNCTION ) j = k - 1;
else j = k - 2;
t[1] += j;
action = 1;
v[2] |= DIRTYFLAG;
if ( j > 0 ) {
r = m + j;
while ( m > AT.WorkPointer ) *--r = *--m;
AT.WorkPointer = r;
m = term + *term;
r = m + j;
while ( m > r2 ) *--r = *--m;
}
else if ( j < 0 ) {
r = r2 + j;
r1 = term + *term;
while ( r2 < r1 ) *r++ = *r2++;
}
r = r3;
m = AT.WorkPointer;
NCOPY(r,m,k);
*term += j;
rstop += j;
CC->numrhs = oldnumrhs;
CC->Pointer = CC->Buffer + oldcpointer;
}
}
t += t[1];
}
if ( didpolyratfun ) {
PolyFunDirty(BHEAD term);
didpolyratfun = 0;
}
/*
#] Argument detection :
#[ SplitArg : + varieties
*/
if ( ( type == TYPESPLITARG || type == TYPESPLITARG2
|| type == TYPESPLITFIRSTARG || type == TYPESPLITLASTARG ) &&
AT.pWorkPointer > oldppointer ) {
t = term+1;
r1 = AT.WorkPointer + 1;
lp = oldppointer;
while ( t < rstop ) {
if ( lp < AT.pWorkPointer && t == AT.pWorkSpace[lp] ) {
v = t;
m = t + FUNHEAD;
r = t + t[1];
r2 = r1; while ( t < m ) *r1++ = *t++;
while ( m < r ) {
t = m;
NEXTARG(m)
if ( lp >= AT.pWorkPointer || t != AT.pWorkSpace[lp+1] ) {
if ( *t > 0 ) t[1] = 0;
while ( t < m ) *r1++ = *t++;
continue;
}
/*
Now we have a nontrivial argument that should be done.
*/
lp += 2;
action = 1;
v[2] |= DIRTYFLAG;
r3 = t + *t;
t += ARGHEAD;
if ( type == TYPESPLITFIRSTARG ) {
r4 = r1; r5 = t; r7 = oldwork;
*r1++ = *t + ARGHEAD;
for ( i = 1; i < ARGHEAD; i++ ) *r1++ = 0;
j = 0;
while ( t < r3 ) {
i = *t;
if ( j == 0 ) {
NCOPY(r7,t,i)
j++;
}
else {
NCOPY(r1,t,i)
}
}
*r4 = r1 - r4;
if ( j ) {
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
r7 = oldwork;
while ( --j >= 0 ) {
r4 = r1; i = *r7;
*r1++ = i+ARGHEAD; *r1++ = 0;
FILLARG(r1);
NCOPY(r1,r7,i)
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
}
}
t = r3;
}
else if ( type == TYPESPLITLASTARG ) {
r4 = r1; r5 = t; r7 = oldwork;
*r1++ = *t + ARGHEAD;
for ( i = 1; i < ARGHEAD; i++ ) *r1++ = 0;
j = 0;
while ( t < r3 ) {
i = *t;
if ( t+i >= r3 ) {
NCOPY(r7,t,i)
j++;
}
else {
NCOPY(r1,t,i)
}
}
*r4 = r1 - r4;
if ( j ) {
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
r7 = oldwork;
while ( --j >= 0 ) {
r4 = r1; i = *r7;
*r1++ = i+ARGHEAD; *r1++ = 0;
FILLARG(r1);
NCOPY(r1,r7,i)
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
}
}
t = r3;
}
else if ( factor == 0 || ( type == TYPESPLITARG2 && *factor == 0 ) ) {
while ( t < r3 ) {
r4 = r1;
*r1++ = *t + ARGHEAD;
for ( i = 1; i < ARGHEAD; i++ ) *r1++ = 0;
i = *t;
while ( --i >= 0 ) *r1++ = *t++;
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
}
}
else if ( type == TYPESPLITARG2 ) {
/*
Here we better put the pattern matcher at work?
Remember: there are no wildcards.
*/
WORD *oRepFunList = AN.RepFunList;
WORD *oWildMask = AT.WildMask, *oWildValue = AN.WildValue;
AN.WildValue = AT.locwildvalue; AT.WildMask = AT.locwildvalue+2;
AN.NumWild = 0;
r4 = r1; r5 = t; r7 = oldwork;
*r1++ = *t + ARGHEAD;
for ( i = 1; i < ARGHEAD; i++ ) *r1++ = 0;
j = 0;
while ( t < r3 ) {
AN.UseFindOnly = 0; oldwork2 = AT.WorkPointer;
AN.RepFunList = r1;
AT.WorkPointer = r1+AN.RepFunNum+2;
i = *t;
if ( FindRest(BHEAD t,factor) &&
( AN.UsedOtherFind || FindOnce(BHEAD t,factor) ) ) {
NCOPY(r7,t,i)
j++;
}
else if ( factor[0] == FUNHEAD+1 && factor[1] >= FUNCTION ) {
WORD *rr1 = t+1, *rr2 = t+i;
rr2 -= ABS(rr2[-1]);
while ( rr1 < rr2 ) {
if ( *rr1 == factor[1] ) break;
rr1 += rr1[1];
}
if ( rr1 < rr2 ) {
NCOPY(r7,t,i)
j++;
}
else {
NCOPY(r1,t,i)
}
}
else {
NCOPY(r1,t,i)
}
AT.WorkPointer = oldwork2;
}
AN.RepFunList = oRepFunList;
*r4 = r1 - r4;
if ( j ) {
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
r7 = oldwork;
while ( --j >= 0 ) {
r4 = r1; i = *r7;
*r1++ = i+ARGHEAD; *r1++ = 0;
FILLARG(r1);
NCOPY(r1,r7,i)
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
}
}
t = r3;
AT.WildMask = oWildMask; AN.WildValue = oWildValue;
}
else {
/*
This code deals with splitting off a single term
*/
r4 = r1; r5 = t;
*r1++ = *t + ARGHEAD;
for ( i = 1; i < ARGHEAD; i++ ) *r1++ = 0;
j = 0;
while ( t < r3 ) {
r6 = t + *t; r6 -= ABS(r6[-1]);
if ( (r6 - t) == *factor ) {
k = *factor - 1;
for ( ; k > 0; k-- ) {
if ( t[k] != factor[k] ) break;
}
if ( k <= 0 ) {
j = r3 - t; t += *t; continue;
}
}
else if ( (r6 - t) == 1 && *factor == 0 ) {
j = r3 - t; t += *t; continue;
}
i = *t;
NCOPY(r1,t,i)
}
*r4 = r1 - r4;
if ( j ) {
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
t = r3 - j;
r4 = r1;
*r1++ = *t + ARGHEAD;
for ( i = 1; i < ARGHEAD; i++ ) *r1++ = 0;
i = *t;
while ( --i >= 0 ) *r1++ = *t++;
if ( ToFast(r4,r4) ) {
r1 = r4;
if ( *r1 > -FUNCTION ) r1++;
r1++;
}
}
t = r3;
}
}
r2[1] = r1 - r2;
}
else {
r = t + t[1];
while ( t < r ) *r1++ = *t++;
}
}
r = term + *term;
while ( t < r ) *r1++ = *t++;
m = AT.WorkPointer;
i = m[0] = r1 - m;
t = term;
while ( --i >= 0 ) *t++ = *m++;
if ( AT.WorkPointer < m ) AT.WorkPointer = m;
}
/*
#] SplitArg :
#[ FACTARG :
*/
if ( ( type == TYPEFACTARG || type == TYPEFACTARG2 ) &&
AT.pWorkPointer > oldppointer ) {
t = term+1;
r1 = AT.WorkPointer + 1;
lp = oldppointer;
while ( t < rstop ) {
if ( lp < AT.pWorkPointer && AT.pWorkSpace[lp] == t ) {
v = t;
m = t + FUNHEAD;
r = t + t[1];
r2 = r1; while ( t < m ) *r1++ = *t++;
while ( m < r ) {
rr = t = m;
NEXTARG(m)
if ( lp >= AT.pWorkPointer || AT.pWorkSpace[lp+1] != t ) {
if ( *t > 0 ) t[1] = 0;