version 1.98, 2004/08/18 00:17:02 |
version 1.102, 2004/09/15 01:43:33 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.97 2004/03/25 01:31:03 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.101 2004/09/14 10:00:26 noro Exp $ */ |
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#include "nd.h" |
#include "nd.h" |
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Line 2702 UINT *ndv_compute_bound(NDV p) |
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Line 2702 UINT *ndv_compute_bound(NDV p) |
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return t; |
return t; |
} |
} |
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UINT *nd_compute_bound(ND p) |
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{ |
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UINT *d1,*d2,*t; |
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UINT u; |
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int i,j,k,l,len,ind; |
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NM m; |
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if ( !p ) |
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return 0; |
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d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
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d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT)); |
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len = LEN(p); |
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m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m); |
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for ( m = NEXT(m); m; m = NEXT(m) ) { |
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ndl_lcm(DL(m),d1,d2); |
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t = d1; d1 = d2; d2 = t; |
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} |
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l = nd_nvar+31; |
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t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT)); |
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for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) { |
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u = d1[i]; |
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k = (nd_epw-1)*nd_bpe; |
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for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ ) |
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t[ind] = (u>>k)&nd_mask0; |
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} |
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for ( ; ind < l; ind++ ) t[ind] = 0; |
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return t; |
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} |
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int nd_get_exporigin(struct order_spec *ord) |
int nd_get_exporigin(struct order_spec *ord) |
{ |
{ |
switch ( ord->id ) { |
switch ( ord->id ) { |
Line 3167 ND ndv_mul_nm(int mod,NM m0,NDV p) |
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Line 3196 ND ndv_mul_nm(int mod,NM m0,NDV p) |
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} |
} |
} |
} |
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ND nd_quo(int mod,ND p,NDV d) |
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{ |
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NM mq0,mq; |
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NMV tm; |
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Q q; |
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int i,nv,sg,c,c1,c2; |
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ND t,r; |
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if ( !p ) return 0; |
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else { |
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nv = NV(p); |
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sg = SG(p); |
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mq0 = 0; |
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tm = (NMV)ALLOCA(nmv_adv); |
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while ( p ) { |
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NEXTNM(mq0,mq); |
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ndl_sub(HDL(p),HDL(d),DL(mq)); |
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ndl_copy(DL(mq),DL(tm)); |
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if ( mod ) { |
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c1 = invm(HCM(d),mod); c2 = HCM(p); |
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DMAR(c1,c2,0,mod,c); CM(mq) = c; |
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CM(tm) = mod-c; |
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} else { |
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divq(HCQ(p),HCQ(d),&CQ(mq)); |
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chsgnq(CQ(mq),&CQ(tm)); |
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} |
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t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d)); |
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p = nd_add(mod,p,t); |
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} |
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NEXT(mq) = 0; |
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for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ ); |
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MKND(nv,mq0,i,r); |
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/* XXX */ |
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SG(r) = sg-SG(d); |
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return r; |
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} |
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} |
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void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) |
void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos) |
{ |
{ |
NMV m,mr,mr0,t; |
NMV m,mr,mr0,t; |
Line 4586 NDV ndv_load(int index) |
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Line 4653 NDV ndv_load(int index) |
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MKNDV(nv,m0,len,d); |
MKNDV(nv,m0,len,d); |
SG(d) = sugar; |
SG(d) = sugar; |
return d; |
return d; |
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} |
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void nd_det(int mod,MAT f,P *rp) |
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{ |
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VL fv,tv; |
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int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a; |
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pointer **m; |
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Q mone; |
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NDV **dm; |
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NDV *t,*mi,*mj; |
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NDV d,s,mij,mjj; |
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ND u; |
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NMV nmv; |
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PGeoBucket bucket; |
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struct order_spec *ord; |
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create_order_spec(0,0,&ord); |
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nd_init_ord(ord); |
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get_vars((Obj)f,&fv); |
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if ( f->row != f->col ) |
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error("nd_det : non-square matrix"); |
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n = f->row; |
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for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ ); |
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m = f->body; |
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for ( i = 0, max = 0; i < n; i++ ) |
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for ( j = 0; j < n; j++ ) |
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for ( tv = fv; tv; tv = NEXT(tv) ) { |
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e = getdeg(tv->v,(P)m[i][j]); |
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max = MAX(e,max); |
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} |
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nd_setup_parameters(nvar,1024); |
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dm = (NDV **)almat_pointer(n,n); |
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for ( i = 0, max = 0; i < n; i++ ) |
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for ( j = 0; j < n; j++ ) { |
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dm[i][j] = ptondv(CO,fv,m[i][j]); |
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if ( mod ) ndv_mod(mod,dm[i][j]); |
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if ( dm[i][j] && !LEN(dm[i][j]) ) dm[i][j] = 0; |
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} |
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d = ptondv(CO,fv,(P)ONE); |
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if ( mod ) ndv_mod(mod,d); |
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chsgnq(ONE,&mone); |
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for ( j = 0, sgn = 1; j < n; j++ ) { |
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for ( i = j; i < n && !dm[i][j]; i++ ); |
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if ( i == n ) { |
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*rp = 0; |
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return; |
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} |
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k0 = i; l0 = j; len0 = LEN(dm[k0][l0]); |
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for ( k = j; k < n; k++ ) |
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for ( l = j; l < n; l++ ) |
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if ( dm[k][l] && LEN(dm[k][l]) < len0 ) { |
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k0 = k; l0 = l; len0 = LEN(dm[k][l]); |
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} |
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if ( k0 != j ) { |
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t = dm[j]; dm[j] = dm[k0]; dm[k0] = t; |
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sgn = -sgn; |
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} |
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if ( l0 != j ) { |
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for ( k = j; k < n; k++ ) { |
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s = dm[k][j]; dm[k][j] = dm[k][l0]; dm[k][l0] = s; |
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} |
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sgn = -sgn; |
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} |
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for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) { |
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mi = dm[i]; mij = mi[j]; |
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if ( mod ) |
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ndv_mul_c(mod,mij,mod-1); |
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else |
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ndv_mul_c_q(mij,mone); |
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for ( k = j+1; k < n; k++ ) { |
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bucket = create_pbucket(); |
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if ( mi[k] ) |
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nmv = BDY(mjj); len = LEN(mjj); |
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for ( a = 0; a < len; a++, NMV_ADV(nmv) ) { |
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u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d))); |
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add_pbucket(mod,bucket,u); |
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} |
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if ( mj[k] && mij ) { |
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nmv = BDY(mij); len = LEN(mij); |
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for ( a = 0; a < len; a++, NMV_ADV(nmv) ) { |
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u = ndv_mul_nmv_trunc(mod,nmv,mj[k],DL(BDY(d))); |
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add_pbucket(mod,bucket,u); |
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} |
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} |
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u = normalize_pbucket(mod,bucket); |
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u = nd_quo(mod,u,d); |
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mi[k] = ndtondv(mod,u); |
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} |
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} |
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d = mjj; |
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} |
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if ( sgn < 0 ) |
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if ( mod ) |
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ndv_mul_c(mod,d,mod-1); |
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else |
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ndv_mul_c_q(d,mone); |
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*rp = ndvtop(mod,CO,fv,d); |
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} |
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ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d) |
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{ |
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NM mr,mr0; |
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NM tnm; |
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NMV m; |
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UINT *d0,*dt,*dm; |
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int c,n,td,i,c1,c2,len; |
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Q q; |
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ND r; |
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if ( !p ) return 0; |
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else { |
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n = NV(p); m = BDY(p); len = LEN(p); |
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d0 = DL(m0); |
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td = TD(d); |
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mr0 = 0; |
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NEWNM(tnm); |
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if ( mod ) { |
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c = CM(m0); |
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for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
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ndl_add(DL(m),d0,DL(tnm)); |
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if ( ndl_reducible(DL(tnm),d) ) { |
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NEXTNM(mr0,mr); |
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c1 = CM(m); DMAR(c1,c,0,mod,c2); CM(mr) = c2; |
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ndl_add(DL(m),d0,DL(mr)); |
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} |
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} |
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} else { |
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q = CQ(m0); |
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for ( i = 0; i < len; i++, NMV_ADV(m) ) { |
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ndl_add(DL(m),d0,DL(tnm)); |
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if ( ndl_reducible(DL(tnm),d) ) { |
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NEXTNM(mr0,mr); |
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mulq(CQ(m),q,&CQ(mr)); |
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ndl_add(DL(m),d0,DL(mr)); |
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} |
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} |
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} |
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if ( !mr0 ) |
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return 0; |
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else { |
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NEXT(mr) = 0; |
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MKND(NV(p),mr0,len,r); |
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SG(r) = SG(p) + TD(d0); |
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return r; |
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} |
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} |
} |
} |