version 1.1.1.1, 1999/12/03 07:39:07 |
version 1.15, 2017/08/31 02:36:20 |
|
|
/* $OpenXM: OpenXM/src/asir99/builtin/algnum.c,v 1.1.1.1 1999/11/10 08:12:25 noro Exp $ */ |
/* |
|
* 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/builtin/algnum.c,v 1.14 2013/11/17 17:34:59 ohara Exp $ |
|
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
|
|
void Pdefpoly(), Pnewalg(), Pmainalg(), Palgtorat(), Prattoalg(), Pgetalg(); |
void Pdefpoly(), Pnewalg(), Pmainalg(), Palgtorat(), Prattoalg(), Pgetalg(); |
void Palg(), Palgv(), Pgetalgtree(); |
void Palg(), Palgv(), Pgetalgtree(); |
|
void Pinvalg_le(); |
|
void Pset_field(),Palgtodalg(),Pdalgtoalg(); |
|
void Pinv_or_split_dalg(); |
|
void Pdalgtoup(); |
|
void Pget_field_defpoly(); |
|
void Pget_field_generator(); |
|
|
#if defined(THINK_C) |
|
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(); |
void get_algtree(Obj f,VL *r); |
int cmpalgp(); |
void Pinvalg_chrem(); |
void algptop(); |
void Pdalgtodp(); |
void algtorat(); |
void Pdptodalg(); |
void rattoalg(); |
|
void ptoalgp(); |
|
void clctalg(); |
|
#endif |
|
|
|
struct ftab alg_tab[] = { |
struct ftab alg_tab[] = { |
|
{"set_field",Pset_field,-3}, |
|
{"get_field_defpoly",Pget_field_defpoly,1}, |
|
{"get_field_generator",Pget_field_generator,1}, |
|
{"algtodalg",Palgtodalg,1}, |
|
{"dalgtoalg",Pdalgtoalg,1}, |
|
{"dalgtodp",Pdalgtodp,1}, |
|
{"dalgtoup",Pdalgtoup,1}, |
|
{"dptodalg",Pdptodalg,1}, |
|
{"inv_or_split_dalg",Pinv_or_split_dalg,1}, |
|
{"invalg_chrem",Pinvalg_chrem,2}, |
|
{"invalg_le",Pinvalg_le,1}, |
{"defpoly",Pdefpoly,1}, |
{"defpoly",Pdefpoly,1}, |
{"newalg",Pnewalg,1}, |
{"newalg",Pnewalg,1}, |
{"mainalg",Pmainalg,1}, |
{"mainalg",Pmainalg,1}, |
Line 37 struct ftab alg_tab[] = { |
|
Line 97 struct ftab alg_tab[] = { |
|
|
|
static int UCN,ACNT; |
static int UCN,ACNT; |
|
|
|
void Pset_field(NODE arg,Q *rp) |
|
{ |
|
int ac; |
|
NODE a0,a1; |
|
VL vl0,vl; |
|
struct order_spec *spec; |
|
|
|
if ( (ac = argc(arg)) == 1 ) |
|
setfield_dalg(BDY((LIST)ARG0(arg))); |
|
else if ( ac == 3 ) { |
|
a0 = BDY((LIST)ARG0(arg)); |
|
a1 = BDY((LIST)ARG1(arg)); |
|
for ( vl0 = 0; a1; a1 = NEXT(a1) ) { |
|
NEXTVL(vl0,vl); |
|
vl->v = VR((P)BDY(a1)); |
|
} |
|
if ( vl0 ) NEXT(vl) = 0; |
|
create_order_spec(0,ARG2(arg),&spec); |
|
setfield_gb(a0,vl0,spec); |
|
} |
|
*rp = 0; |
|
} |
|
|
|
void Palgtodalg(NODE arg,DAlg *rp) |
|
{ |
|
algtodalg((Alg)ARG0(arg),rp); |
|
} |
|
|
|
void Pdalgtoalg(NODE arg,Alg *rp) |
|
{ |
|
dalgtoalg((DAlg)ARG0(arg),rp); |
|
} |
|
|
|
void Pdalgtodp(NODE arg,LIST *r) |
|
{ |
|
NODE b; |
|
DP nm; |
|
Q dn; |
|
DAlg da; |
|
|
|
da = (DAlg)ARG0(arg); |
|
nm = da->nm; |
|
dn = da->dn; |
|
b = mknode(2,nm,dn); |
|
MKLIST(*r,b); |
|
} |
|
|
|
void Pdptodalg(NODE arg,DAlg *r) |
|
{ |
|
DP d,nm,nm1; |
|
MP m; |
|
Q c,a; |
|
DAlg t; |
|
|
|
d = (DP)ARG0(arg); |
|
if ( !d ) *r = 0; |
|
else { |
|
for ( m = BDY(d); m; m = NEXT(m) ) |
|
if ( !INT((Q)m->c) ) break; |
|
if ( !m ) { |
|
MKDAlg(d,(Q)ONE,t); |
|
} else { |
|
dp_ptozp(d,&nm); |
|
divq((Q)BDY(d)->c,(Q)BDY(nm)->c,&c); |
|
NTOQ(NM(c),SGN(c),a); |
|
muldc(CO,nm,(Obj)a,&nm1); |
|
NTOQ(DN(c),1,a); |
|
MKDAlg(nm1,a,t); |
|
} |
|
simpdalg(t,r); |
|
} |
|
} |
|
|
|
void Pdalgtoup(NODE arg,LIST *r) |
|
{ |
|
NODE b; |
|
int pos; |
|
P up; |
|
DP nm; |
|
Q dn,q; |
|
|
|
pos = dalgtoup((DAlg)ARG0(arg),&up,&dn); |
|
STOQ(pos,q); |
|
b = mknode(3,up,dn,q); |
|
MKLIST(*r,b); |
|
} |
|
|
|
NODE inv_or_split_dalg(DAlg,DAlg *); |
|
NumberField get_numberfield(); |
|
|
|
void Pget_field_defpoly(NODE arg,DAlg *r) |
|
{ |
|
NumberField nf; |
|
DP d; |
|
|
|
nf = get_numberfield(); |
|
d = nf->ps[QTOS((Q)ARG0(arg))]; |
|
MKDAlg(d,ONE,*r); |
|
} |
|
|
|
void Pget_field_generator(NODE arg,DAlg *r) |
|
{ |
|
int index,n,i; |
|
DL dl; |
|
MP m; |
|
DP d; |
|
|
|
index = QTOS((Q)ARG0(arg)); |
|
n = get_numberfield()->n; |
|
NEWDL(dl,n); |
|
for ( i = 0; i < n; i++ ) dl->d[i] = 0; |
|
dl->d[index] = 1; dl->td = 1; |
|
NEWMP(m); m->dl = dl; m->c = (Obj)ONE; NEXT(m) = 0; |
|
MKDP(n,m,d); |
|
MKDAlg(d,ONE,*r); |
|
} |
|
|
|
|
|
void Pinv_or_split_dalg(NODE arg,Obj *rp) |
|
{ |
|
NODE gen,t,nd0,nd; |
|
LIST list; |
|
int l,i,j,n; |
|
DP *ps,*ps1,*psw; |
|
NumberField nf; |
|
DAlg inv; |
|
extern struct order_spec *dp_current_spec; |
|
struct order_spec *current_spec; |
|
|
|
gen = inv_or_split_dalg((DAlg)ARG0(arg),&inv); |
|
if ( !gen ) |
|
*rp = (Obj)inv; |
|
else { |
|
nf = get_numberfield(); |
|
current_spec = dp_current_spec; initd(nf->spec); |
|
l = length(gen); |
|
n = nf->n; |
|
ps = nf->ps; |
|
psw = (DP *)ALLOCA((n+l)*sizeof(DP)); |
|
for ( i = j = 0; i < n; i++ ) { |
|
for ( t = gen; t; t = NEXT(t) ) |
|
if ( dp_redble(ps[i],(DP)BDY(t)) ) break; |
|
if ( !t ) |
|
psw[j++] = ps[i]; |
|
} |
|
nd0 = 0; |
|
/* gen[0] < gen[1] < ... */ |
|
/* psw[0] > psw[1] > ... */ |
|
for ( i = j-1, t = gen; i >= 0 && t; ) { |
|
NEXTNODE(nd0,nd); |
|
if ( compd(CO,psw[i],(DP)BDY(t)) > 0 ) { |
|
BDY(nd) = BDY(t); t = NEXT(t); |
|
} else |
|
BDY(nd) = (pointer)psw[i--]; |
|
} |
|
for ( ; i >= 0; i-- ) { |
|
NEXTNODE(nd0,nd); BDY(nd) = (pointer)psw[i]; |
|
} |
|
for ( ; t; t = NEXT(t) ) { |
|
NEXTNODE(nd0,nd); BDY(nd) = BDY(t); |
|
} |
|
NEXT(nd) = 0; |
|
MKLIST(list,nd0); |
|
initd(current_spec); |
|
*rp = (Obj)list; |
|
} |
|
} |
|
|
void Pnewalg(arg,rp) |
void Pnewalg(arg,rp) |
NODE arg; |
NODE arg; |
Alg *rp; |
Alg *rp; |
|
|
Alg b; |
Alg b; |
NODE n0,n; |
NODE n0,n; |
|
|
|
#if 0 |
if ( !(a = (Num)ARG0(arg)) || NID(a) <= N_R ) |
if ( !(a = (Num)ARG0(arg)) || NID(a) <= N_R ) |
vl = 0; |
vl = 0; |
else { |
else { |
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); |
|
|
vl = 0; break; |
vl = 0; break; |
} |
} |
} |
} |
|
#else |
|
get_algtree((Obj)ARG0(arg),&vl); |
|
#endif |
for ( n0 = 0; vl; vl = NEXT(vl) ) { |
for ( n0 = 0; vl; vl = NEXT(vl) ) { |
NEXTNODE(n0,n); MKV(vl->v,p); MKAlg(p,b); BDY(n) = (pointer)b; |
NEXTNODE(n0,n); MKV(vl->v,p); MKAlg(p,b); BDY(n) = (pointer)b; |
} |
} |
|
|
} |
} |
NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r); |
NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r); |
} |
} |
|
} |
|
|
|
void Pinvalg_chrem(NODE arg,LIST *r) |
|
{ |
|
NODE n; |
|
|
|
inva_chrem((P)ARG0(arg),(P)ARG1(arg),&n); |
|
MKLIST(*r,n); |
|
} |
|
|
|
void invalg_le(Alg a,LIST *r); |
|
|
|
void Pinvalg_le(NODE arg,LIST *r) |
|
{ |
|
invalg_le((Alg)ARG0(arg),r); |
|
} |
|
|
|
typedef struct oMono_nf { |
|
DP mono; |
|
DP nf; |
|
Q dn; |
|
} *Mono_nf; |
|
|
|
void invalg_le(Alg a,LIST *r) |
|
{ |
|
Alg inv; |
|
MAT mobj,sol; |
|
int *rinfo,*cinfo; |
|
P p,dn,dn1,ap; |
|
VL vl,tvl; |
|
Q c1,c2,c3,cont,c,two,iq,dn0,mul,dnsol; |
|
int i,j,n,len,k; |
|
MP mp,mp0; |
|
DP dp,nm,nm1,m,d,u,u1; |
|
NODE b,b1,hlist,mblist,t,s,rev0,rev,hist; |
|
DP *ps; |
|
struct order_spec *spec; |
|
Mono_nf h,h1; |
|
N nq,nr,nl,ng; |
|
Q **mat,**solmat; |
|
Q *w; |
|
int *wi; |
|
|
|
ap = (P)BDY(a); |
|
asir_assert(ap,O_P,"invalg_le"); |
|
|
|
/* collecting algebraic numbers */ |
|
clctalg(ap,&vl); |
|
|
|
/* setup */ |
|
ptozp(ap,1,&c,&p); |
|
STOQ(2,two); create_order_spec(0,(Obj)two,&spec); initd(spec); |
|
for ( n = 0, tvl = vl; tvl; tvl = NEXT(tvl), n++ ); |
|
ps = (DP *)ALLOCA(n*sizeof(DP)); |
|
|
|
/* conversion to DP */ |
|
for ( i = 0, tvl = vl; i < n; i++, tvl = NEXT(tvl) ) { |
|
ptod(ALG,vl,tvl->v->attr,&ps[i]); |
|
} |
|
ptod(ALG,vl,p,&dp); |
|
/* index list */ |
|
for ( b = 0, i = 0; i < n; i++ ) { |
|
STOQ(i,iq); MKNODE(b1,(pointer)iq,b); b = b1; |
|
} |
|
/* simplification */ |
|
dp_true_nf(b,dp,ps,1,&nm,&dn); |
|
|
|
/* construction of NF table */ |
|
|
|
/* stdmono: <<0,...,0>> < ... < max */ |
|
for ( hlist = 0, i = 0; i < n; i++ ) { |
|
MKNODE(b1,(pointer)ps[i],hlist); hlist = b1; |
|
} |
|
dp_mbase(hlist,&rev0); |
|
for ( mblist = 0, rev = rev0; rev; rev = NEXT(rev) ) { |
|
MKNODE(b1,BDY(rev),mblist); mblist = b1; |
|
} |
|
dn0 = ONE; |
|
for ( hist = 0, t = mblist; t; t = NEXT(t) ) { |
|
/* searching a predecessor */ |
|
for ( m = (DP)BDY(t), s = hist; s; s = NEXT(s) ) { |
|
h = (Mono_nf)BDY(s); |
|
if ( dp_redble(m,h->mono) ) |
|
break; |
|
} |
|
h1 = (Mono_nf)ALLOCA(sizeof(struct oMono_nf)); |
|
if ( s ) { |
|
dp_subd(m,h->mono,&d); |
|
muld(CO,d,h->nf,&u); |
|
dp_true_nf(b,u,ps,1,&nm1,&dn1); |
|
mulq(h->dn,(Q)dn1,&h1->dn); |
|
} else { |
|
muld(CO,m,nm,&u); |
|
dp_true_nf(b,u,ps,1,&nm1,&dn1); |
|
h1->dn = (Q)dn1; |
|
} |
|
h1->mono = m; |
|
h1->nf = nm1; |
|
MKNODE(b1,(pointer)h1,hist); hist = b1; |
|
|
|
/* dn0 = LCM(dn0,h1->dn) */ |
|
gcdn(NM(dn0),NM(h1->dn),&ng); divn(NM(dn0),ng,&nq,&nr); |
|
muln(nq,NM(h1->dn),&nl); NTOQ(nl,1,dn0); |
|
} |
|
/* create a matrix */ |
|
len = length(mblist); |
|
MKMAT(mobj,len,len+1); |
|
mat = (Q **)BDY(mobj); |
|
mat[len-1][len] = dn0; |
|
for ( j = 0, t = hist; j < len; j++, t = NEXT(t) ) { |
|
h = (Mono_nf)BDY(t); |
|
nm1 = h->nf; |
|
divq((Q)dn0,h->dn,&mul); |
|
for ( i = 0, rev = rev0, mp = BDY(nm1); mp && i < len; i++, rev = NEXT(rev) ) |
|
if ( dl_equal(n,BDY((DP)BDY(rev))->dl,mp->dl) ) { |
|
mulq(mul,(Q)mp->c,&mat[i][j]); |
|
mp = NEXT(mp); |
|
} |
|
} |
|
#if 0 |
|
w = (Q *)ALLOCA((len+1)*sizeof(Q)); |
|
wi = (int *)ALLOCA((len+1)*sizeof(int)); |
|
for ( i = 0; i < len; i++ ) { |
|
for ( j = 0, k = 0; j <= len; j++ ) |
|
if ( mat[i][j] ) { |
|
w[k] = mat[i][j]; |
|
wi[k] = j; |
|
k++; |
|
} |
|
removecont_array(w,k); |
|
for ( j = 0; j < k; j++ ) |
|
mat[i][wi[j]] = w[j]; |
|
} |
|
#endif |
|
generic_gauss_elim_hensel(mobj,&sol,&dnsol,&rinfo,&cinfo); |
|
solmat = (Q **)BDY(sol); |
|
for ( i = 0, t = rev0, mp0 = 0; i < len; i++, t = NEXT(t) ) |
|
if ( solmat[i][0] ) { |
|
NEXTMP(mp0,mp); |
|
mp->c = (Obj)solmat[i][0]; |
|
mp->dl = BDY((DP)BDY(t))->dl; |
|
} |
|
NEXT(mp) = 0; MKDP(n,mp0,u); |
|
dp_ptozp(u,&u1); |
|
divq((Q)BDY(u)->c,(Q)BDY(u1)->c,&cont); |
|
dtop(ALG,vl,u1,(Obj *)&ap); |
|
MKAlg(ap,inv); |
|
mulq(dnsol,(Q)dn,&c1); |
|
mulq(c1,c,&c2); |
|
divq(c2,cont,&c3); |
|
b = mknode(2,inv,c3); |
|
MKLIST(*r,b); |
|
} |
|
|
|
void get_algtree(Obj f,VL *r) |
|
{ |
|
VL vl1,vl2,vl3; |
|
Obj t; |
|
DCP dc; |
|
NODE b; |
|
pointer *a; |
|
pointer **m; |
|
int len,row,col,i,j,l; |
|
|
|
if ( !f ) *r = 0; |
|
else |
|
switch ( OID(f) ) { |
|
case O_N: |
|
if ( NID((Num)f) != N_A ) *r = 0; |
|
else { |
|
t = BDY((Alg)f); |
|
switch ( OID(t) ) { |
|
case O_P: |
|
clctalg((P)t,r); break; |
|
case O_R: |
|
clctalg(NM((R)t),&vl1); |
|
clctalg(DN((R)t),&vl2); |
|
mergev(ALG,vl1,vl2,r); break; |
|
default: |
|
*r = 0; break; |
|
} |
|
} |
|
break; |
|
case O_P: |
|
vl1 = 0; |
|
for ( dc = DC((P)f); dc; dc = NEXT(dc) ) { |
|
get_algtree((Obj)COEF(dc),&vl2); |
|
mergev(ALG,vl1,vl2,&vl3); |
|
vl1 = vl3; |
|
} |
|
*r = vl1; |
|
break; |
|
case O_R: |
|
get_algtree((Obj)NM((R)f),&vl1); |
|
get_algtree((Obj)DN((R)f),&vl2); |
|
mergev(ALG,vl1,vl2,r); |
|
break; |
|
case O_LIST: |
|
vl1 = 0; |
|
for ( b = BDY((LIST)f); b; b = NEXT(b) ) { |
|
get_algtree((Obj)BDY(b),&vl2); |
|
mergev(ALG,vl1,vl2,&vl3); |
|
vl1 = vl3; |
|
} |
|
*r = vl1; |
|
break; |
|
case O_VECT: |
|
vl1 = 0; |
|
l = ((VECT)f)->len; |
|
a = BDY((VECT)f); |
|
for ( i = 0; i < l; i++ ) { |
|
get_algtree((Obj)a[i],&vl2); |
|
mergev(ALG,vl1,vl2,&vl3); |
|
vl1 = vl3; |
|
} |
|
*r = vl1; |
|
break; |
|
case O_MAT: |
|
vl1 = 0; |
|
row = ((MAT)f)->row; col = ((MAT)f)->col; |
|
m = BDY((MAT)f); |
|
for ( i = 0; i < row; i++ ) |
|
for ( j = 0; j < col; j++ ) { |
|
get_algtree((Obj)m[i][j],&vl2); |
|
mergev(ALG,vl1,vl2,&vl3); |
|
vl1 = vl3; |
|
} |
|
*r = vl1; |
|
break; |
|
default: |
|
*r = 0; |
|
break; |
|
} |
|
} |
|
|
|
void algobjtorat(Obj f,Obj *r) |
|
{ |
|
Obj t; |
|
DCP dc,dcr,dcr0; |
|
P p,nm,dn; |
|
R rat; |
|
NODE b,s,s0; |
|
VECT v; |
|
MAT mat; |
|
LIST list; |
|
pointer *a; |
|
pointer **m; |
|
int len,row,col,i,j,l; |
|
|
|
if ( !f ) *r = 0; |
|
else |
|
switch ( OID(f) ) { |
|
case O_N: |
|
algtorat((Num)f,r); |
|
break; |
|
case O_P: |
|
dcr0 = 0; |
|
for ( dc = DC((P)f); dc; dc = NEXT(dc) ) { |
|
NEXTDC(dcr0,dcr); |
|
algobjtorat((Obj)COEF(dc),&t); |
|
COEF(dcr) = (P)t; |
|
DEG(dcr) = DEG(dc); |
|
} |
|
NEXT(dcr) = 0; MKP(VR((P)f),dcr0,p); *r = (Obj)p; |
|
break; |
|
case O_R: |
|
algobjtorat((Obj)NM((R)f),&t); nm = (P)t; |
|
algobjtorat((Obj)DN((R)f),&t); dn = (P)t; |
|
MKRAT(nm,dn,0,rat); *r = (Obj)rat; |
|
break; |
|
case O_LIST: |
|
s0 = 0; |
|
for ( b = BDY((LIST)f); b; b = NEXT(b) ) { |
|
NEXTNODE(s0,s); |
|
algobjtorat((Obj)BDY(b),&t); |
|
BDY(s) = (pointer)t; |
|
} |
|
NEXT(s) = 0; |
|
MKLIST(list,s0); |
|
*r = (Obj)list; |
|
break; |
|
case O_VECT: |
|
l = ((VECT)f)->len; |
|
a = BDY((VECT)f); |
|
MKVECT(v,l); |
|
for ( i = 0; i < l; i++ ) { |
|
algobjtorat((Obj)a[i],&t); |
|
BDY(v)[i] = (pointer)t; |
|
} |
|
*r = (Obj)v; |
|
break; |
|
case O_MAT: |
|
row = ((MAT)f)->row; col = ((MAT)f)->col; |
|
m = BDY((MAT)f); |
|
MKMAT(mat,row,col); |
|
for ( i = 0; i < row; i++ ) |
|
for ( j = 0; j < col; j++ ) { |
|
algobjtorat((Obj)m[i][j],&t); |
|
BDY(mat)[i][j] = (pointer)t; |
|
} |
|
*r = (Obj)mat; |
|
break; |
|
default: |
|
*r = f; |
|
break; |
|
} |
} |
} |