=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/PU.c,v retrieving revision 1.6 retrieving revision 1.7 diff -u -p -r1.6 -r1.7 --- OpenXM_contrib2/asir2000/engine/PU.c 2001/06/07 04:54:40 1.6 +++ OpenXM_contrib2/asir2000/engine/PU.c 2001/10/01 01:58:03 1.7 @@ -45,7 +45,7 @@ * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. * - * $OpenXM: OpenXM_contrib2/asir2000/engine/PU.c,v 1.5 2001/03/29 09:49:57 noro Exp $ + * $OpenXM: OpenXM_contrib2/asir2000/engine/PU.c,v 1.6 2001/06/07 04:54:40 noro Exp $ */ #include "ca.h" @@ -158,6 +158,64 @@ P *dp; chsgnp(d,dp); else *dp = d; +} + +void invmatp(vl,rmat,n,imatp,dnp) +VL vl; +P **rmat; +int n; +P ***imatp; +P *dnp; +{ + int i,j,k,l,n2; + P mjj,mij,t,s,u,d; + P **mat,**imat; + P *mi,*mj,*w; + + n2 = n<<1; + mat = (P **)almat_pointer(n,n2); + for ( i = 0; i < n; i++ ) { + for ( j = 0; j < n; j++ ) + mat[i][j] = rmat[i][j]; + mat[i][i+n] = (P)ONE; + } + for ( j = 0, d = (P)ONE; j < n; j++ ) { + for ( i = j; (i < n) && !mat[i][j]; i++ ); + if ( i == n ) { + error("invmatp : input is singular"); + } + for ( k = i; k < n; k++ ) + if ( mat[k][j] && (nmonop(mat[k][j]) < nmonop(mat[i][j]) ) ) + i = k; + if ( j != i ) { + mj = mat[j]; mat[j] = mat[i]; mat[i] = mj; + } + for ( i = j + 1, mj = mat[j], mjj = mj[j]; i < n; i++ ) + for ( k = j + 1, mi = mat[i], mij = mi[j]; k < n2; k++ ) { + mulp(vl,mi[k],mjj,&t); mulp(vl,mj[k],mij,&s); + subp(vl,t,s,&u); divsp(vl,u,d,&mi[k]); + } + d = mjj; + } + /* backward substitution */ + w = (P *)ALLOCA(n2*sizeof(P)); + for ( i = n-2; i >= 0; i-- ) { + bzero(w,n2*sizeof(P)); + for ( k = i+1; k < n; k++ ) + for ( l = k, u = mat[i][l]; l < n2; l++ ) { + mulp(vl,mat[k][l],u,&t); addp(vl,w[l],t,&s); w[l] = s; + } + for ( j = i, u = mat[i][j]; j < n2; j++ ) { + mulp(vl,mat[i][j],d,&t); subp(vl,t,w[j],&s); + divsp(vl,s,u,&mat[i][j]); + } + } + imat = (P **)almat_pointer(n,n); + for ( i = 0; i < n; i++ ) + for ( j = 0; j < n; j++ ) + imat[i][j] = mat[i][j+n]; + *imatp = imat; + *dnp = d; } void reordvar(vl,v,nvlp)