File: [local] / OpenXM_contrib2 / asir2000 / engine / R.c (download)
Revision 1.5, Wed Aug 24 06:28:39 2005 UTC (19 years, 1 month ago) by noro
Branch: MAIN
CVS Tags: R_1_3_1-2, RELEASE_1_3_1_13b, RELEASE_1_2_3_12, KNOPPIX_2006, DEB_REL_1_2_3-9 Changes since 1.4: +7 -4
lines
Fixed a bug in substitution for Laurent poly.
Added a ctrl switch "terse" for avoiding some messages.
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/*
* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
* All rights reserved.
*
* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
* non-exclusive and royalty-free license to use, copy, modify and
* redistribute, solely for non-commercial and non-profit purposes, the
* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
* conditions of this Agreement. For the avoidance of doubt, you acquire
* only a limited right to use the SOFTWARE hereunder, and FLL or any
* third party developer retains all rights, including but not limited to
* copyrights, in and to the SOFTWARE.
*
* (1) FLL does not grant you a license in any way for commercial
* purposes. You may use the SOFTWARE only for non-commercial and
* non-profit purposes only, such as academic, research and internal
* business use.
* (2) The SOFTWARE is protected by the Copyright Law of Japan and
* international copyright treaties. If you make copies of the SOFTWARE,
* with or without modification, as permitted hereunder, you shall affix
* to all such copies of the SOFTWARE the above copyright notice.
* (3) An explicit reference to this SOFTWARE and its copyright owner
* shall be made on your publication or presentation in any form of the
* results obtained by use of the SOFTWARE.
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by
* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
* for such modification or the source code of the modified part of the
* SOFTWARE.
*
* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
* SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
* OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
*
* $OpenXM: OpenXM_contrib2/asir2000/engine/R.c,v 1.5 2005/08/24 06:28:39 noro Exp $
*/
#include "ca.h"
void addr(vl,a,b,c)
VL vl;
Obj a,b,*c;
{
P t,s,u;
R r;
if ( !a )
*c = b;
else if ( !b )
*c = a;
else if ( !RAT(a) )
if ( !RAT(b) )
addp(vl,(P)a,(P)b,(P *)c);
else {
mulp(vl,(P)a,DN((R)b),&t); addp(vl,t,NM((R)b),&s);
if ( s )
MKRAT(s,DN((R)b),((R)b)->reduced,r);
else
r = 0;
*c = (Obj)r;
}
else if ( !RAT(b) ) {
mulp(vl,DN((R)a),(P)b,&t); addp(vl,NM((R)a),t,&s);
if ( s )
MKRAT(s,DN((R)a),((R)a)->reduced,r);
else
r = 0;
*c = (Obj)r;
} else {
mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,NM((R)b),DN((R)a),&s);
addp(vl,t,s,&u);
if ( u ) {
mulp(vl,DN((R)a),DN((R)b),&t); MKRAT(u,t,0,r); *c = (Obj)r;
} else
*c = 0;
}
}
void subr(vl,a,b,c)
VL vl;
Obj a,b,*c;
{
P t,s,u;
R r;
if ( !a )
chsgnr(b,c);
else if ( !b )
*c = a;
else if ( !RAT(a) )
if ( !RAT(b) )
subp(vl,(P)a,(P)b,(P *)c);
else {
mulp(vl,(P)a,DN((R)b),&t); subp(vl,t,NM((R)b),&s);
if ( s )
MKRAT(s,DN((R)b),((R)b)->reduced,r);
else
r = 0;
*c = (Obj)r;
}
else if ( !RAT(b) ) {
mulp(vl,DN((R)a),(P)b,&t); subp(vl,NM((R)a),t,&s);
if ( s )
MKRAT(s,DN((R)a),((R)a)->reduced,r);
else
r = 0;
*c = (Obj)r;
} else {
mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,NM((R)b),DN((R)a),&s);
subp(vl,t,s,&u);
if ( u ) {
mulp(vl,DN((R)a),DN((R)b),&t); MKRAT(u,t,0,r); *c = (Obj)r;
} else
*c = 0;
}
}
void mulr(vl,a,b,c)
VL vl;
Obj a,b,*c;
{
P t,s;
R r;
if ( !a || !b )
*c = 0;
else if ( !RAT(a) )
if ( !RAT(b) )
mulp(vl,(P)a,(P)b,(P *)c);
else {
mulp(vl,(P)a,NM((R)b),&t); MKRAT(t,DN((R)b),0,r); *c = (Obj)r;
}
else if ( !RAT(b) ) {
mulp(vl,NM((R)a),(P)b,&t); MKRAT(t,DN((R)a),0,r); *c = (Obj)r;
} else {
mulp(vl,NM((R)a),NM((R)b),&t); mulp(vl,DN((R)a),DN((R)b),&s);
MKRAT(t,s,0,r); *c = (Obj)r;
}
}
void divr(vl,a,b,c)
VL vl;
Obj a,b,*c;
{
P t,s;
R r;
if ( !b )
error("divr : division by 0");
else if ( !a )
*c = 0;
else if ( !RAT(a) )
if ( !RAT(b) )
if ( NUM(b) )
divsp(vl,(P)a,(P)b,(P *)c);
else {
MKRAT((P)a,(P)b,0,r); *c = (Obj)r;
}
else {
mulp(vl,(P)a,DN((R)b),&t); MKRAT(t,NM((R)b),0,r); *c = (Obj)r;
}
else if ( !RAT(b) ) {
mulp(vl,DN((R)a),(P)b,&t); MKRAT(NM((R)a),t,0,r); *c = (Obj)r;
} else {
mulp(vl,NM((R)a),DN((R)b),&t); mulp(vl,DN((R)a),NM((R)b),&s);
MKRAT(t,s,0,r); *c = (Obj)r;
}
}
void pwrr(vl,a,q,c)
VL vl;
Obj a,q,*c;
{
P t,s;
R r;
Q q1;
if ( !q )
*c = (Obj)ONE;
else if ( !a )
*c = 0;
else if ( !NUM(q) || !RATN(q) || !INT(q) )
notdef(vl,a,q,c);
else if ( !RAT(a) && (SGN((Q)q) > 0) ) {
pwrp(vl,(P)a,(Q)q,&t); *c = (Obj)t;
} else {
if ( !RAT(a) ) {
PTOR((P)a,r); a = (Obj)r;
}
if ( SGN((Q)q) < 0 ) {
chsgnq((Q)q,&q1); pwrp(vl,DN((R)a),q1,&t); pwrp(vl,NM((R)a),q1,&s);
} else {
pwrp(vl,NM((R)a),(Q)q,&t); pwrp(vl,DN((R)a),(Q)q,&s);
}
MKRAT(t,s,((R)a)->reduced,r); *c = (Obj)r;
}
}
void chsgnr(a,b)
Obj a,*b;
{
P t;
R r;
if ( !a )
*b = 0;
else if ( !RAT(a) )
chsgnp((P)a,(P *)b);
else {
chsgnp(NM((R)a),&t); MKRAT(t,DN((R)a),((R)a)->reduced,r); *b = (Obj)r;
}
}
int compr(vl,a,b)
VL vl;
Obj a,b;
{
int t;
if ( !a )
return b ? -1 : 0;
else if ( !b )
return 1;
else if ( !RAT(a) )
return !RAT(b) ? compp(vl,(P)a,(P)b) : -1;
else if ( !RAT(b) )
return 1;
else {
t = compp(vl,NM((R)a),NM((R)b));
if ( !t )
t = compp(vl,DN((R)a),DN((R)b));
return t;
}
}
int equalr(vl,a,b)
VL vl;
Obj a,b;
{
if ( !a )
return b ? 0 : 1;
else if ( !b )
return 0;
else if ( !RAT(a) )
return !RAT(b) ? equalp(vl,(P)a,(P)b) : 0;
else if ( !RAT(b) )
return 0;
else
return equalp(vl,NM((R)a),NM((R)b)) && equalp(vl,DN((R)a),DN((R)b));
}