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cpdtsp.c
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/* Copyright 1990-2011, Jsoftware Inc. All rights reserved. */
/* License in license.txt. */
/* */
/* Conjunctions: Dyad +/ .* on Sparse Arguments */
#include "j.h"
F1(jtbtreetest){ASSERT(0,EVDOMAIN);}
F1(jtbtreedft){ASSERT(0,EVDOMAIN);}
/*
vm=: 4 : 0 NB. vector +/ .* sparse matrix
if. dense x do. yy=. 5$.y [ 'i j'=. |: 4$.y
else. yy=. b#5$.y [ 'i j'=. |: b#4$.y [ b=. ({."1 ]4$.y) e. ,4$.x end.
1 $. (}.$y);0;0;(,.~.j);j +//. (i{x) * yy
)
mv=: 4 : 0 NB. sparse matrix +/ .* vector
if. dense y do. xx=. 5$.x [ 'i j'=. |: 4$.x
else. xx=. b#5$.x [ 'i j'=. |: b#4$.x [ b=. ({:"1 ]4$.x) e. ,4$.y end.
1 $. (#x);0;0;(,.~.i);i +//. xx*j{y
)
*/
static F2(jtpdtspvv){A x;D*av,s,t,*wv,z;I i,*u,*u0,*uu,*v,*v0,*vv;P*ap,*wp;
RZ(a&&w);
ap=PAV(a); x=SPA(ap,i); u=u0=AV(x); uu=u+AN(x); x=SPA(ap,x); av=DAV(x);
wp=PAV(w); x=SPA(wp,i); v=v0=AV(x); vv=v+AN(x); x=SPA(wp,x); wv=DAV(x);
z=0.0;
NAN0;
while(1){
i=*u; while(i>*v&&v<vv)++v; if(v==vv)break;
if(i==*v){s=av[u-u0]; t=wv[v-v0]; z+=s&&t?s*t:0; ++u; ++v; continue;}
i=*v; while(i>*u&&u<uu)++u; if(u==uu)break;
if(i==*u){s=av[u-u0]; t=wv[v-v0]; z+=s&&t?s*t:0; ++u; ++v; continue;}
}
NAN1;
R scf(z);
}
static F2(jtpdtspmv){A ax,b,g,x,wx,y,yi,yj,z;B*bv;I m,n,s[2],*u,*v,*yv;P*ap,*wp,*zp;
RZ(a&&w);
ap=PAV(a); y=SPA(ap,i); yv=AV(y); s[0]=n=*AS(y); s[1]=1;
GA(yj,INT,n,2,s);
if(DENSE&AT(w)){
GA(yi,INT,n,2,s); u=AV(yi); AR(yj)=1; v=AV(yj);
DO(n, *u++=*yv++; *v++=*yv++;);
ax=SPA(ap,x); RZ(wx=from(yj,w));
}else{
v=AV(yj);
DO(n, yv++; *v++=*yv++;);
wp=PAV(w); RZ(b=eps(yj,SPA(wp,i))); bv=BAV(b);
AN(yj)=*AS(yj)=*s=m=bsum(n,bv); v=AV(yj); yv=AV(y);
GA(yi,INT,m,2,s); u=AV(yi);
DO(n, if(*bv++){*u++=*yv++; *v++=*yv++;}else yv+=2;);
RZ(ax=repeat(b,SPA(ap,x))); RZ(wx=from(indexof(SPA(wp,i),yj),SPA(wp,x)));
}
RZ(x=df2(yi,tymes(ax,wx),sldot(slash(ds(CPLUS)))));
RZ(y=nub(yi));
RZ(g=grade1(y));
GA(z,STYPE(AT(x)),1,1,AS(a)); zp=PAV(z);
SPB(zp,a,iv0);
SPB(zp,e,scf(0.0));
SPB(zp,i,from(g,y));
SPB(zp,x,from(g,x));
R z;
} /* (sparse matrix) +/ .* vector; non-complex */
static F2(jtpdtspvm){A ax,b,g,x,wx,y,yi,yj,z;B*bv;D*av,c,d,*wv,*xv;I m,n,s[2],*u,*v,*yv;P*ap,*wp,*zp;
RZ(a&&w);
wp=PAV(w); y=SPA(wp,i); yv=AV(y); s[0]=n=*AS(y); s[1]=1;
if(DENSE&AT(a)){
GA(yj,INT,n,2,s); v=AV(yj);
av=DAV(a); x=SPA(wp,x); wv=DAV(x);
GA(x,FL,n,1,0); xv=DAV(x);
DO(n, c=av[*yv++]; *v++=*yv++; d=*wv++; *xv++=c&&d?c*d:0;);
}else{
GA(yi,INT,n,2,s); u=AV(yi);
DO(n, *u++=*yv++; yv++;);
ap=PAV(a); RZ(b=eps(yi,SPA(ap,i))); bv=BAV(b);
AN(yi)=*AS(yi)=*s=m=bsum(n,bv); u=AV(yi); yv=AV(y);
GA(yj,INT,m,2,s); v=AV(yj);
DO(n, if(*bv++){*u++=*yv++; *v++=*yv++;}else yv+=2;);
RZ(ax=from(indexof(SPA(ap,i),yi),SPA(ap,x))); RZ(wx=repeat(b,SPA(wp,x)));
RZ(x=tymes(ax,wx));
}
RZ(x=df2(yj,x,sldot(slash(ds(CPLUS)))));
RZ(y=nub(yj));
RZ(g=grade1(y));
GA(z,STYPE(AT(x)),1,1,1+AS(w)); zp=PAV(z);
SPB(zp,a,iv0);
SPB(zp,e,scf(0.0));
SPB(zp,i,from(g,y));
SPB(zp,x,from(g,x));
R z;
} /* vector +/ .* (sparse matrix); non-complex */
/* p - ptr to sparse array value part */
/* n - # elements in index array */
/* iv - ptr to index array (row,column) */
/* m - length of nv */
/* nv - row boundaries in iv */
/* xv - ptr to data values */
static B jtmmprep(J jt,P*p,I*n,I**iv,I*m,I**nv,D**xv){A x;I j,k,q,*u,*v;
x=SPA(p,x); if(!(FL&AT(x)))RZ(x=cvt(FL,x)); *xv=DAV(x);
x=SPA(p,i); *iv=u=AV(x); *n=AN(x);
if(m&&nv){
q=*AS(x); k=q?2+u[(q-1)<<1]-*u:1;
GA(x,INT,k,1,0); *nv=v=AV(x);
k=-1; DO(q, j=*u++; u++; if(j>k){*v++=i; k=j;});
*v++=q; AN(x)=*AS(x)=k=v-*nv; *m=k-1;
}
R 1;
}
/* ii - row index in result */
/* zjn - # temp result values to be harvested */
/* zj - temp result column indices */
/* zyv - ptr to temp result values */
/* n - # result values so far */
/* zi - ptr to result index array */
/* zx - ptr to result value array */
static B jtmmharvest(J jt,I ii,I zjn,A zj,D*zyv,I*n,A*zi,A*zx){A x;D*zxv,*zxv0;I j,m,p,*v,*ziv;
m=MIN(*AS(*zi),*AS(*zx));
while(m<*n+zjn){RZ(*zi=ext(0,*zi)); RZ(*zx=ext(0,*zx)); m=MIN(*AS(*zi),*AS(*zx));}
m=AN(zj); AN(zj)=*AS(zj)=zjn; RZ(x=grade2(zj,zj)); AN(zj)=*AS(zj)=m;
p=-1; v=AV(x); ziv=AV(*zi)+(*n<<1); zxv=zxv0=DAV(*zx)+*n;
DO(zjn, if(p<(j=*v++)){p=j; *ziv++=ii; *ziv++=j; *zxv++=zyv[j]; zyv[j]=0;});
*n+=zxv-zxv0;
R 1;
} /* collect accumulated values for row ii */
static F2(jtpdtspmm){A z,zi,zj,zx,zy;D*axv,c,d,*dv,*wxv,*zyv;
I*aiv,*aivm,i,ii,j,k,k0,m,n=0,old,p,q,*v,wm,*wiv,*wnv,*zjv,*zjv0;P*zp;
RZ(a&&w);
RZ(mmprep(PAV(a),&m,&aiv,0L ,0L ,&axv)); aivm=m+aiv;
RZ(mmprep(PAV(w),&m,&wiv,&wm,&wnv,&wxv));
GA(zy,FL,*(1+AS(w)),1,0); zyv=DAV(zy); memset(zyv,C0,AN(zy)*sizeof(D));
old=jt->tbase+jt->ttop;
RZ(zj=exta(INT,1L,1L,1000L)); zjv0=AV(zj);
RZ(zi=exta(INT,2L,2L,1000L));
RZ(zx=exta(FL, 1L,1L,1000L));
NAN0;
if(wm&&aiv<aivm){
i=*aiv++; zjv=zjv0; k=-1;
while(aiv<aivm){ /* run through aiv and axv exactly once */
j=*aiv++;
if(c=*axv++){
k0=k; p=k+1; q=wm; ii=-1;
while(p<=q){ii=wiv[wnv[k=(p+q)>>1]<<1]; if(j==ii)break; if(j<ii)q=k-1; else p=k+1;}
if(j==ii){
p=wnv[1+k]-wnv[k]; dv=wxv+wnv[k]; v=1+wiv+(wnv[k]<<1);
q=zjv-zjv0; while(AN(zj)<p+q){RZ(zj=ext(0,zj)); zjv0=AV(zj); zjv=q+zjv0;}
DO(p, if(d=*dv++){if(!zyv[*v])*zjv++=*v; zyv[*v++]+=c*d; v++;});
}else k=k0;
}
if(aiv>=aivm||i<(p=*aiv++)){ /* done with row i in a, emit row i in z */
RZ(mmharvest(i,zjv-zjv0,zj,zyv,&n,&zi,&zx));
gc3(zj,zi,zx,old);
zjv=zjv0; k=-1; i=p;
}}}
NAN1;
*AS(zx)=AN(zx)=*AS(zi)=n; AN(zi)=n<<1;
GA(z,SFL,1,2,AS(a)); *(1+AS(z))=*(1+AS(w));
zp=PAV(z); SPB(zp,a,IX(2)); SPB(zp,e,scf(0.0)); SPB(zp,i,zi); SPB(zp,x,zx);
R z;
}
F2(jtpdtsp){A x;B ab=0,wb=0;P*p;
RZ(a&&w);
ASSERT(!AR(a)||!AR(w)||*(AS(a)+AR(a)-1)==*AS(w),EVLENGTH);
if(AT(a)&FL+SFL&&AT(w)&FL+SFL){
if(SPARSE&AT(a)){p=PAV(a); x=SPA(p,a); ab=AR(a)==AN(x)&&equ(zero,SPA(p,e));}
if(SPARSE&AT(w)){p=PAV(w); x=SPA(p,a); wb=AR(w)==AN(x)&&equ(zero,SPA(p,e));}
}
if(ab&&1==AR(a)&&wb&&1==AR(w))R pdtspvv(a,w);
if(ab&&2==AR(a)&& 1==AR(w))R pdtspmv(a,w);
if( 1==AR(a)&&wb&&2==AR(w))R pdtspvm(a,w);
if(ab&&2==AR(a)&&wb&&2==AR(w))R pdtspmm(a,w);
R df2(a,w,atop(slash(ds(CPLUS)),qq(ds(CSTAR),v2(1L,AR(w)))));
}