version 1.2, 2000/08/21 08:31:18 |
version 1.7, 2004/12/02 13:48:43 |
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* shall be made on your publication or presentation in any form of the |
* shall be made on your publication or presentation in any form of the |
* results obtained by use of the SOFTWARE. |
* results obtained by use of the SOFTWARE. |
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
* e-mail at risa-admin@flab.fujitsu.co.jp of the detailed specification |
* 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 |
* for such modification or the source code of the modified part of the |
* SOFTWARE. |
* SOFTWARE. |
* |
* |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/algnum.c,v 1.1.1.1 1999/12/03 07:39:07 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/algnum.c,v 1.6 2004/12/01 08:49:42 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
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void Pdefpoly(), Pnewalg(), Pmainalg(), Palgtorat(), Prattoalg(), Pgetalg(); |
void Pdefpoly(), Pnewalg(), Pmainalg(), Palgtorat(), Prattoalg(), Pgetalg(); |
void Palg(), Palgv(), Pgetalgtree(); |
void Palg(), Palgv(), Pgetalgtree(); |
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void Pinvalg_le(); |
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void Pset_field(),Palgtodalg(),Pdalgtoalg(); |
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#if defined(THINK_C) |
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void mkalg(P,Alg *); |
void mkalg(P,Alg *); |
int cmpalgp(P,P); |
int cmpalgp(P,P); |
void algptop(P,P *); |
void algptop(P,P *); |
void algtorat(Num,Obj *); |
void algtorat(Num,Obj *); |
void rattoalg(Obj,Alg *); |
void rattoalg(Obj,Alg *); |
void ptoalgp(P,P *); |
void ptoalgp(P,P *); |
#else |
void clctalg(P,VL *); |
void mkalg(); |
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int cmpalgp(); |
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void algptop(); |
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void algtorat(); |
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void rattoalg(); |
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void ptoalgp(); |
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void clctalg(); |
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#endif |
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struct ftab alg_tab[] = { |
struct ftab alg_tab[] = { |
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{"set_field",Pset_field,1}, |
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{"algtodalg",Palgtodalg,1}, |
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{"dalgtoalg",Pdalgtoalg,1}, |
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{"invalg_le",Pinvalg_le,1}, |
{"defpoly",Pdefpoly,1}, |
{"defpoly",Pdefpoly,1}, |
{"newalg",Pnewalg,1}, |
{"newalg",Pnewalg,1}, |
{"mainalg",Pmainalg,1}, |
{"mainalg",Pmainalg,1}, |
Line 85 struct ftab alg_tab[] = { |
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Line 82 struct ftab alg_tab[] = { |
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static int UCN,ACNT; |
static int UCN,ACNT; |
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void Pset_field(NODE arg,Q *rp) |
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{ |
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setfield_dalg(BDY((LIST)ARG0(arg))); |
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*rp = 0; |
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} |
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void Palgtodalg(NODE arg,DAlg *rp) |
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{ |
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algtodalg((Alg)ARG0(arg),rp); |
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} |
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void Pdalgtoalg(NODE arg,Alg *rp) |
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{ |
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dalgtoalg((DAlg)ARG0(arg),rp); |
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} |
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void Pnewalg(arg,rp) |
void Pnewalg(arg,rp) |
NODE arg; |
NODE arg; |
Alg *rp; |
Alg *rp; |
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t = BDY((Alg)a); |
t = BDY((Alg)a); |
switch ( OID(t) ) { |
switch ( OID(t) ) { |
case O_P: |
case O_P: |
clctalg(t,&vl); break; |
clctalg((P)t,&vl); break; |
case O_R: |
case O_R: |
clctalg(NM((R)t),&vl1); |
clctalg(NM((R)t),&vl1); |
clctalg(DN((R)t),&vl2); |
clctalg(DN((R)t),&vl2); |
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} |
} |
NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r); |
NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r); |
} |
} |
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} |
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void invalg_le(Alg a,LIST *r); |
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void Pinvalg_le(NODE arg,LIST *r) |
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{ |
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invalg_le((Alg)ARG0(arg),r); |
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} |
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typedef struct oMono_nf { |
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DP mono; |
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DP nf; |
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Q dn; |
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} *Mono_nf; |
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void invalg_le(Alg a,LIST *r) |
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{ |
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Alg inv; |
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MAT mobj,sol; |
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int *rinfo,*cinfo; |
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P p,dn,dn1,ap; |
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VL vl,tvl; |
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Q c1,c2,c3,cont,c,two,iq,dn0,mul,dnsol; |
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int i,j,n,len,k; |
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MP mp,mp0; |
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DP dp,nm,nm1,m,d,u,u1; |
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NODE b,b1,hlist,mblist,t,s,rev0,rev,hist; |
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DP *ps; |
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struct order_spec *spec; |
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Mono_nf h,h1; |
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N nq,nr,nl,ng; |
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Q **mat,**solmat; |
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Q *w; |
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int *wi; |
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ap = (P)BDY(a); |
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asir_assert(ap,O_P,"invalg_le"); |
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/* collecting algebraic numbers */ |
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clctalg(ap,&vl); |
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/* setup */ |
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ptozp(ap,1,&c,&p); |
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STOQ(2,two); create_order_spec(0,(Obj)two,&spec); initd(spec); |
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for ( n = 0, tvl = vl; tvl; tvl = NEXT(tvl), n++ ); |
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ps = (DP *)ALLOCA(n*sizeof(DP)); |
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/* conversion to DP */ |
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for ( i = 0, tvl = vl; i < n; i++, tvl = NEXT(tvl) ) { |
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ptod(ALG,vl,tvl->v->attr,&ps[i]); |
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} |
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ptod(ALG,vl,p,&dp); |
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/* index list */ |
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for ( b = 0, i = 0; i < n; i++ ) { |
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STOQ(i,iq); MKNODE(b1,(pointer)iq,b); b = b1; |
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} |
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/* simplification */ |
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dp_true_nf(b,dp,ps,1,&nm,&dn); |
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/* construction of NF table */ |
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/* stdmono: <<0,...,0>> < ... < max */ |
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for ( hlist = 0, i = 0; i < n; i++ ) { |
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MKNODE(b1,(pointer)ps[i],hlist); hlist = b1; |
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} |
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dp_mbase(hlist,&rev0); |
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for ( mblist = 0, rev = rev0; rev; rev = NEXT(rev) ) { |
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MKNODE(b1,BDY(rev),mblist); mblist = b1; |
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} |
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dn0 = ONE; |
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for ( hist = 0, t = mblist; t; t = NEXT(t) ) { |
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/* searching a predecessor */ |
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for ( m = (DP)BDY(t), s = hist; s; s = NEXT(s) ) { |
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h = (Mono_nf)BDY(s); |
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if ( dp_redble(m,h->mono) ) |
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break; |
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} |
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h1 = (Mono_nf)ALLOCA(sizeof(struct oMono_nf)); |
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if ( s ) { |
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dp_subd(m,h->mono,&d); |
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muld(CO,d,h->nf,&u); |
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dp_true_nf(b,u,ps,1,&nm1,&dn1); |
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mulq(h->dn,(Q)dn1,&h1->dn); |
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} else { |
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muld(CO,m,nm,&u); |
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dp_true_nf(b,u,ps,1,&nm1,&dn1); |
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h1->dn = (Q)dn1; |
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} |
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h1->mono = m; |
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h1->nf = nm1; |
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MKNODE(b1,(pointer)h1,hist); hist = b1; |
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/* dn0 = LCM(dn0,h1->dn) */ |
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gcdn(NM(dn0),NM(h1->dn),&ng); divn(NM(dn0),ng,&nq,&nr); |
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muln(nq,NM(h1->dn),&nl); NTOQ(nl,1,dn0); |
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} |
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/* create a matrix */ |
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len = length(mblist); |
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MKMAT(mobj,len,len+1); |
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mat = (Q **)BDY(mobj); |
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mat[len-1][len] = dn0; |
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for ( j = 0, t = hist; j < len; j++, t = NEXT(t) ) { |
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h = (Mono_nf)BDY(t); |
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nm1 = h->nf; |
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divq((Q)dn0,h->dn,&mul); |
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for ( i = 0, rev = rev0, mp = BDY(nm1); mp && i < len; i++, rev = NEXT(rev) ) |
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if ( dl_equal(n,BDY((DP)BDY(rev))->dl,mp->dl) ) { |
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mulq(mul,(Q)mp->c,&mat[i][j]); |
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mp = NEXT(mp); |
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} |
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} |
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#if 0 |
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w = (Q *)ALLOCA((len+1)*sizeof(Q)); |
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wi = (int *)ALLOCA((len+1)*sizeof(int)); |
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for ( i = 0; i < len; i++ ) { |
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for ( j = 0, k = 0; j <= len; j++ ) |
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if ( mat[i][j] ) { |
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w[k] = mat[i][j]; |
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wi[k] = j; |
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k++; |
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} |
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removecont_array(w,k); |
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for ( j = 0; j < k; j++ ) |
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mat[i][wi[j]] = w[j]; |
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} |
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#endif |
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generic_gauss_elim_hensel(mobj,&sol,&dnsol,&rinfo,&cinfo); |
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solmat = (Q **)BDY(sol); |
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for ( i = 0, t = rev0, mp0 = 0; i < len; i++, t = NEXT(t) ) |
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if ( solmat[i][0] ) { |
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NEXTMP(mp0,mp); |
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mp->c = (P)solmat[i][0]; |
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mp->dl = BDY((DP)BDY(t))->dl; |
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} |
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NEXT(mp) = 0; MKDP(n,mp0,u); |
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dp_ptozp(u,&u1); |
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divq((Q)BDY(u)->c,(Q)BDY(u1)->c,&cont); |
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dtop(ALG,vl,u1,&ap); |
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MKAlg(ap,inv); |
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mulq(dnsol,(Q)dn,&c1); |
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mulq(c1,c,&c2); |
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divq(c2,cont,&c3); |
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b = mknode(2,inv,c3); |
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MKLIST(*r,b); |
} |
} |