File: [local] / OpenXM_contrib2 / asir2000 / engine / mat.c (download)
Revision 1.3, Tue Aug 22 05:04:05 2000 UTC (24 years, 1 month ago) by noro
Branch: MAIN
CVS Tags: maekawa-ipv6, STABLE_1_1_3, RELEASE_1_1_3 Changes since 1.2: +2 -2
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Sorry, the email address in the license agreement was incorrect.
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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/mat.c,v 1.3 2000/08/22 05:04:05 noro Exp $
*/
#include "ca.h"
void addmat(vl,a,b,c)
VL vl;
MAT a,b,*c;
{
int row,col,i,j;
MAT t;
pointer *ab,*bb,*tb;
if ( !a )
*c = b;
else if ( !b )
*c = a;
else if ( (a->row != b->row) || (a->col != b->col) ) {
*c = 0; error("addmat : size mismatch");
} else {
row = a->row; col = a->col;
MKMAT(t,row,col);
for ( i = 0; i < row; i++ )
for ( j = 0, ab = BDY(a)[i], bb = BDY(b)[i], tb = BDY(t)[i];
j < col; j++ )
addr(vl,(Obj)ab[j],(Obj)bb[j],(Obj *)&tb[j]);
*c = t;
}
}
void submat(vl,a,b,c)
VL vl;
MAT a,b,*c;
{
int row,col,i,j;
MAT t;
pointer *ab,*bb,*tb;
if ( !a )
chsgnmat(b,c);
else if ( !b )
*c = a;
else if ( (a->row != b->row) || (a->col != b->col) ) {
*c = 0; error("submat : size mismatch");
} else {
row = a->row; col = a->col;
MKMAT(t,row,col);
for ( i = 0; i < row; i++ )
for ( j = 0, ab = BDY(a)[i], bb = BDY(b)[i], tb = BDY(t)[i];
j < col; j++ )
subr(vl,(Obj)ab[j],(Obj)bb[j],(Obj *)&tb[j]);
*c = t;
}
}
void mulmat(vl,a,b,c)
VL vl;
Obj a,b,*c;
{
if ( !a || !b )
*c = 0;
else if ( OID(a) <= O_R )
mulrmat(vl,(Obj)a,(MAT)b,(MAT *)c);
else if ( OID(b) <= O_R )
mulrmat(vl,(Obj)b,(MAT)a,(MAT *)c);
else
switch ( OID(a) ) {
case O_VECT:
switch ( OID(b) ) {
case O_MAT:
mulvectmat(vl,(VECT)a,(MAT)b,(VECT *)c); break;
case O_VECT: default:
notdef(vl,a,b,c); break;
}
break;
case O_MAT:
switch ( OID(b) ) {
case O_VECT:
mulmatvect(vl,(MAT)a,(VECT)b,(VECT *)c); break;
case O_MAT:
mulmatmat(vl,(MAT)a,(MAT)b,(MAT *)c); break;
default:
notdef(vl,a,b,c); break;
}
break;
default:
notdef(vl,a,b,c); break;
}
}
void divmat(vl,a,b,c)
VL vl;
Obj a,b,*c;
{
Obj t;
if ( !b )
error("divmat : division by 0");
else if ( !a )
*c = 0;
else if ( OID(b) > O_R )
notdef(vl,a,b,c);
else {
divr(vl,(Obj)ONE,b,&t); mulrmat(vl,t,(MAT)a,(MAT *)c);
}
}
void chsgnmat(a,b)
MAT a,*b;
{
MAT t;
int row,col,i,j;
pointer *ab,*tb;
if ( !a )
*b = 0;
else {
row = a->row; col = a->col;
MKMAT(t,row,col);
for ( i = 0; i < row; i++ )
for ( j = 0, ab = BDY(a)[i], tb = BDY(t)[i];
j < col; j++ )
chsgnr((Obj)ab[j],(Obj *)&tb[j]);
*b = t;
}
}
void pwrmat(vl,a,r,c)
VL vl;
MAT a;
Obj r;
MAT *c;
{
if ( !a )
*c = 0;
else if ( !r || !NUM(r) || !RATN(r) ||
!INT(r) || (SGN((Q)r)<0) || (PL(NM((Q)r))>1) ) {
*c = 0; error("pwrmat : invalid exponent");
} else if ( a->row != a->col ) {
*c = 0; error("pwrmat : non square matrix");
} else
pwrmatmain(vl,a,QTOS((Q)r),c);
}
void pwrmatmain(vl,a,e,c)
VL vl;
MAT a;
int e;
MAT *c;
{
MAT t,s;
if ( e == 1 ) {
*c = a;
return;
}
pwrmatmain(vl,a,e/2,&t);
mulmat(vl,(Obj)t,(Obj)t,(Obj *)&s);
if ( e % 2 )
mulmat(vl,(Obj)s,(Obj)a,(Obj *)c);
else
*c = s;
}
void mulrmat(vl,a,b,c)
VL vl;
Obj a;
MAT b,*c;
{
int row,col,i,j;
MAT t;
pointer *bb,*tb;
if ( !a || !b )
*c = 0;
else {
row = b->row; col = b->col;
MKMAT(t,row,col);
for ( i = 0; i < row; i++ )
for ( j = 0, bb = BDY(b)[i], tb = BDY(t)[i];
j < col; j++ )
mulr(vl,(Obj)a,(Obj)bb[j],(Obj *)&tb[j]);
*c = t;
}
}
void mulmatmat(vl,a,b,c)
VL vl;
MAT a,b,*c;
{
int arow,bcol,i,j,k,m;
MAT t;
pointer s,u,v;
pointer *ab,*tb;
if ( a->col != b->row ) {
*c = 0; error("mulmat : size mismatch");
} else {
arow = a->row; m = a->col; bcol = b->col;
MKMAT(t,arow,bcol);
for ( i = 0; i < arow; i++ )
for ( j = 0, ab = BDY(a)[i], tb = BDY(t)[i]; j < bcol; j++ ) {
for ( k = 0, s = 0; k < m; k++ ) {
mulr(vl,(Obj)ab[k],(Obj)BDY(b)[k][j],(Obj *)&u); addr(vl,(Obj)s,(Obj)u,(Obj *)&v); s = v;
}
tb[j] = s;
}
*c = t;
}
}
void mulmatvect(vl,a,b,c)
VL vl;
MAT a;
VECT b;
VECT *c;
{
int arow,i,j,m;
VECT t;
pointer s,u,v;
pointer *ab;
if ( !a || !b )
*c = 0;
else if ( a->col != b->len ) {
*c = 0; error("mulmatvect : size mismatch");
} else {
arow = a->row; m = a->col;
MKVECT(t,arow);
for ( i = 0; i < arow; i++ ) {
for ( j = 0, s = 0, ab = BDY(a)[i]; j < m; j++ ) {
mulr(vl,(Obj)ab[j],(Obj)BDY(b)[j],(Obj *)&u); addr(vl,(Obj)s,(Obj)u,(Obj *)&v); s = v;
}
BDY(t)[i] = s;
}
*c = t;
}
}
void mulvectmat(vl,a,b,c)
VL vl;
VECT a;
MAT b;
VECT *c;
{
int bcol,i,j,m;
VECT t;
pointer s,u,v;
if ( !a || !b )
*c = 0;
else if ( a->len != b->row ) {
*c = 0; error("mulvectmat : size mismatch");
} else {
bcol = b->col; m = a->len;
MKVECT(t,bcol);
for ( j = 0; j < bcol; j++ ) {
for ( i = 0, s = 0; i < m; i++ ) {
mulr(vl,(Obj)BDY(a)[i],(Obj)BDY(b)[i][j],(Obj *)&u); addr(vl,(Obj)s,(Obj)u,(Obj *)&v); s = v;
}
BDY(t)[j] = s;
}
*c = t;
}
}
int compmat(vl,a,b)
VL vl;
MAT a,b;
{
int i,j,t,row,col;
if ( !a )
return b?-1:0;
else if ( !b )
return 1;
else if ( a->row != b->row )
return a->row>b->row ? 1 : -1;
else if (a->col != b->col )
return a->col > b->col ? 1 : -1;
else {
row = a->row; col = a->col;
for ( i = 0; i < row; i++ )
for ( j = 0; j < col; j++ )
if ( t = compr(vl,(Obj)BDY(a)[i][j],(Obj)BDY(b)[i][j]) )
return t;
return 0;
}
}
pointer **almat_pointer(n,m)
int n,m;
{
pointer **mat;
int i;
mat = (pointer **)MALLOC(n*sizeof(pointer *));
for ( i = 0; i < n; i++ )
mat[i] = (pointer *)CALLOC(m,sizeof(pointer));
return mat;
}