version 1.14, 2002/09/30 06:15:51 |
version 1.24, 2017/02/27 05:14:54 |
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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/fctr.c,v 1.13 2002/09/27 08:40:48 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/builtin/fctr.c,v 1.23 2004/07/30 07:34:40 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
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void Pfctr(), Pgcd(), Pgcdz(), Plcm(), Psqfr(), Pufctrhint(); |
void Pfctr(), Pgcd(), Pgcdz(), Plcm(), Psqfr(), Pufctrhint(); |
void Pptozp(), Pcont(); |
void Pptozp(), Pcont(), Psfcont(); |
void Pafctr(), Pagcd(); |
void Pafctr(), Pagcd(); |
void Pmodsqfr(),Pmodfctr(),Pddd(),Pnewddd(),Pddd_tab(); |
void Pmodsqfr(),Pmodfctr(),Pddd(),Pnewddd(),Pddd_tab(); |
void Psfsqfr(),Psfbfctr(),Psfufctr(),Psfmintdeg(),Psfgcd(); |
void Psfsqfr(),Psffctr(),Psfbfctr(),Psfufctr(),Psfmintdeg(),Psfgcd(); |
void Pirred_check(), Pnfctr_mod(); |
void Pirred_check(), Pnfctr_mod(); |
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void Pbivariate_hensel_special(); |
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void sfmintdeg(VL vl,P fx,int dy,int c,P *fr); |
void sfmintdeg(VL vl,P fx,int dy,int c,P *fr); |
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struct ftab fctr_tab[] = { |
struct ftab fctr_tab[] = { |
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{"bivariate_hensel_special",Pbivariate_hensel_special,6}, |
{"fctr",Pfctr,-2}, |
{"fctr",Pfctr,-2}, |
{"gcd",Pgcd,-3}, |
{"gcd",Pgcd,-3}, |
{"gcdz",Pgcdz,2}, |
{"gcdz",Pgcdz,2}, |
Line 68 struct ftab fctr_tab[] = { |
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Line 70 struct ftab fctr_tab[] = { |
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{"ufctrhint",Pufctrhint,2}, |
{"ufctrhint",Pufctrhint,2}, |
{"ptozp",Pptozp,1}, |
{"ptozp",Pptozp,1}, |
{"cont",Pcont,-2}, |
{"cont",Pcont,-2}, |
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{"sfcont",Psfcont,-2}, |
{"afctr",Pafctr,2}, |
{"afctr",Pafctr,2}, |
{"agcd",Pagcd,3}, |
{"agcd",Pagcd,3}, |
{"modsqfr",Pmodsqfr,2}, |
{"modsqfr",Pmodsqfr,2}, |
{"modfctr",Pmodfctr,2}, |
{"modfctr",Pmodfctr,2}, |
{"sfsqfr",Psfsqfr,1}, |
{"sfsqfr",Psfsqfr,1}, |
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{"sffctr",Psffctr,1}, |
{"sfufctr",Psfufctr,1}, |
{"sfufctr",Psfufctr,1}, |
{"sfbfctr",Psfbfctr,-4}, |
{"sfbfctr",Psfbfctr,-4}, |
{"sfmintdeg",Psfmintdeg,5}, |
{"sfmintdeg",Psfmintdeg,5}, |
Line 87 struct ftab fctr_tab[] = { |
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Line 91 struct ftab fctr_tab[] = { |
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{0,0,0}, |
{0,0,0}, |
}; |
}; |
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/* bivariate_hensel_special(f(x,y):monic in x,g0(x),h0(y),x,y,d) */ |
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void Pbivariate_hensel_special(arg,rp) |
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NODE arg; |
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LIST *rp; |
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{ |
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DCP dc; |
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struct oVN vn[2]; |
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P f,g0,h0,ak,bk,gk,hk; |
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V vx,vy; |
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VL nvl; |
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Q qk,cbd,bb; |
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int d; |
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NODE n; |
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f = (P)ARG0(arg); |
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g0 = (P)ARG1(arg); |
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h0 = (P)ARG2(arg); |
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vx = VR((P)ARG3(arg)); |
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vy = VR((P)ARG4(arg)); |
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d = QTOS((Q)ARG5(arg)); |
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NEWVL(nvl); nvl->v = vx; |
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NEWVL(NEXT(nvl)); NEXT(nvl)->v = vy; |
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NEXT(NEXT(nvl)) = 0; |
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vn[0].v = vy; vn[0].n = 0; |
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vn[1].v = 0; vn[1].n = 0; |
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cbound(nvl,f,&cbd); |
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addq(cbd,cbd,&bb); |
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henzq1(g0,h0,bb,&bk,&ak,&qk); |
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henmv(nvl,vn,f,g0,h0,ak,bk,(P)ONE,(P)ONE,(P)ONE,(P)ONE,qk,d,&gk,&hk); |
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n = mknode(2,gk,hk); |
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MKLIST(*rp,n); |
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} |
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void Pfctr(arg,rp) |
void Pfctr(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
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} |
} |
} |
} |
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void Pptozp(arg,rp) |
void Psfcont(arg,rp) |
NODE arg; |
NODE arg; |
P *rp; |
P *rp; |
{ |
{ |
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DCP dc; |
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MP mp; |
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int m; |
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Obj obj; |
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P p,p1; |
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P *l; |
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V v; |
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obj = (Obj)ARG0(arg); |
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if ( !obj || NUM(obj) ) |
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*rp = (P)obj; |
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else if ( OID(obj) == O_P ) { |
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p = (P)obj; |
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if ( argc(arg) == 2 ) { |
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v = VR((P)ARG1(arg)); |
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change_mvar(CO,p,v,&p1); |
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if ( VR(p1) != v ) { |
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*rp = p1; return; |
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} else |
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p = p1; |
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} |
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for ( m = 0, dc = DC(p); dc; dc = NEXT(dc), m++ ); |
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l = (P *)ALLOCA(m*sizeof(P)); |
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for ( m = 0, dc = DC(p); dc; dc = NEXT(dc), m++ ) |
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l[m] = COEF(dc); |
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gcdsf(CO,l,m,rp); |
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} else if ( OID(obj) == O_DP ) { |
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for ( m = 0, mp = BDY((DP)obj); mp; mp = NEXT(mp), m++ ); |
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l = (P *)ALLOCA(m*sizeof(P)); |
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for ( m = 0, mp = BDY((DP)obj); mp; mp = NEXT(mp), m++) |
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l[m] = mp->c; |
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gcdsf(CO,l,m,rp); |
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} |
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} |
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void Pptozp(arg,rp) |
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NODE arg; |
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Obj *rp; |
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{ |
Q t; |
Q t; |
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NODE tt,p; |
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NODE n,n0; |
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char *key; |
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P pp; |
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LIST list; |
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int get_factor=0; |
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asir_assert(ARG0(arg),O_P,"ptozp"); |
asir_assert(ARG0(arg),O_P,"ptozp"); |
ptozp((P)ARG0(arg),1,&t,rp); |
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/* analyze the option */ |
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if ( current_option ) { |
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for ( tt = current_option; tt; tt = NEXT(tt) ) { |
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p = BDY((LIST)BDY(tt)); |
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key = BDY((STRING)BDY(p)); |
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/* value = (Obj)BDY(NEXT(p)); */ |
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if ( !strcmp(key,"factor") ) get_factor=1; |
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else { |
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error("ptozp: unknown option."); |
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} |
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} |
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} |
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ptozp((P)ARG0(arg),1,&t,&pp); |
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/* printexpr(NULL,t); */ |
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/* if the option factor is given, then it returns the answer |
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in the format [zpoly, num] where num*zpoly is equal to the argument.*/ |
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if (get_factor) { |
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n0 = mknode(2,pp,t); |
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MKLIST(list,n0); |
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*rp = (Obj)list; |
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} else |
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*rp = (Obj)pp; |
} |
} |
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void Pafctr(arg,rp) |
void Pafctr(arg,rp) |
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UM *resberle(); |
UM *resberle(); |
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void reduce_sfdc(DCP sfdc, DCP *dc); |
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void Pmodfctr(arg,rp) |
void Pmodfctr(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
{ |
{ |
DCP dc; |
DCP dc,dcu; |
int mod; |
int mod,i,t; |
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P p; |
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Obj u; |
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VL vl; |
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mod = QTOS((Q)ARG1(arg)); |
mod = QTOS((Q)ARG1(arg)); |
if ( mod < 0 ) |
if ( mod < 0 ) |
error("modfctr : invalid modulus"); |
error("modfctr : invalid modulus"); |
modfctrp(ARG0(arg),mod,NEWDDD,&dc); |
p = (P)ARG0(arg); |
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clctv(CO,p,&vl); |
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if ( !vl ) { |
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NEWDC(dc); COEF(dc) = p; DEG(dc) = ONE; NEXT(dc) = 0; |
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} else if ( !NEXT(vl) ) |
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modfctrp(ARG0(arg),mod,NEWDDD,&dc); |
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else { |
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/* XXX 16384 should be replaced by a macro */ |
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for ( i = 1, t = mod; t*mod < 16384; t *= mod, i++ ); |
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current_ff = FF_GFS; |
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setmod_sf(mod,i); |
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simp_ff((Obj)p,&u); |
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mfctrsf(CO,(P)u,&dcu); |
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reduce_sfdc(dcu,&dc); |
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} |
if ( !dc ) { |
if ( !dc ) { |
NEWDC(dc); COEF(dc) = 0; DEG(dc) = ONE; NEXT(dc) = 0; |
NEWDC(dc); COEF(dc) = 0; DEG(dc) = ONE; NEXT(dc) = 0; |
} |
} |
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gcdsf(CO,ps,2,rp); |
gcdsf(CO,ps,2,rp); |
} |
} |
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void Psffctr(arg,rp) |
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NODE arg; |
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LIST *rp; |
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{ |
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DCP dc; |
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mfctrsf(CO,ARG0(arg),&dc); |
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dcptolist(dc,rp); |
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} |
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void Psfsqfr(arg,rp) |
void Psfsqfr(arg,rp) |
NODE arg; |
NODE arg; |
LIST *rp; |
LIST *rp; |
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{ |
{ |
DCP dc; |
DCP dc; |
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fctrsf(ARG0(arg),&dc); |
ufctrsf(ARG0(arg),&dc); |
dcptolist(dc,rp); |
dcptolist(dc,rp); |
} |
} |
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for ( i = 0; i < n; i++ ) |
for ( i = 0; i < n; i++ ) |
umtop(v,r[i],(P *)&BDY(result)[i]); |
umtop(v,r[i],(P *)&BDY(result)[i]); |
*rp = result; |
*rp = result; |
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} |
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void reduce_sfdc(DCP sfdc,DCP *dcr) |
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{ |
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P c,t,s,u,f; |
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DCP dc0,dc,tdc; |
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DCP *a; |
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int i,j,n; |
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if ( !current_gfs_ext ) { |
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/* we simply apply sfptop() */ |
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for ( dc0 = 0; sfdc; sfdc = NEXT(sfdc) ) { |
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NEXTDC(dc0,dc); |
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DEG(dc) = DEG(sfdc); |
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sfptop(COEF(sfdc),&COEF(dc)); |
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} |
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NEXT(dc) = 0; |
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*dcr = dc0; |
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return; |
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} |
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if ( NUM(COEF(sfdc)) ) { |
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sfptop(COEF(sfdc),&c); |
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sfdc = NEXT(sfdc); |
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} else |
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c = (P)ONE; |
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for ( n = 0, tdc = sfdc; tdc; tdc = NEXT(tdc), n++ ); |
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a = (DCP *)ALLOCA(n*sizeof(DCP)); |
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for ( i = 0, tdc = sfdc; i < n; tdc = NEXT(tdc), i++ ) |
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a[i] = tdc; |
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dc0 = 0; NEXTDC(dc0,dc); DEG(dc) = ONE; COEF(dc) = c; |
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for ( i = 0; i < n; i++ ) { |
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if ( !a[i] ) |
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continue; |
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t = COEF(a[i]); |
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f = t; |
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while ( 1 ) { |
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sf_galois_action(t,ONE,&s); |
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for ( j = i; j < n; j++ ) |
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if ( a[j] && !compp(CO,s,COEF(a[j])) ) |
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break; |
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if ( j == n ) |
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error("reduce_sfdc : cannot happen"); |
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if ( j == i ) { |
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NEXTDC(dc0,dc); DEG(dc) = DEG(a[i]); |
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sfptop(f,&COEF(dc)); |
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break; |
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} else { |
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mulp(CO,f,s,&u); f = u; |
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t = s; |
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a[j] = 0; |
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} |
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} |
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} |
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*dcr = dc0; |
} |
} |