| version 1.14, 2002/09/30 06:15:51 |
version 1.24, 2017/02/27 05:14:54 |
|
|
| * 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" |
| |
|
| 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(); |
| |
void Pbivariate_hensel_special(); |
| |
|
| void sfmintdeg(VL vl,P fx,int dy,int c,P *fr); |
void sfmintdeg(VL vl,P fx,int dy,int c,P *fr); |
| |
|
| struct ftab fctr_tab[] = { |
struct ftab fctr_tab[] = { |
| |
{"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[] = { |
|
| Line 70 struct ftab fctr_tab[] = { |
|
| {"ufctrhint",Pufctrhint,2}, |
{"ufctrhint",Pufctrhint,2}, |
| {"ptozp",Pptozp,1}, |
{"ptozp",Pptozp,1}, |
| {"cont",Pcont,-2}, |
{"cont",Pcont,-2}, |
| |
{"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}, |
| |
{"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[] = { |
|
| Line 91 struct ftab fctr_tab[] = { |
|
| {0,0,0}, |
{0,0,0}, |
| }; |
}; |
| |
|
| |
/* bivariate_hensel_special(f(x,y):monic in x,g0(x),h0(y),x,y,d) */ |
| |
|
| |
void Pbivariate_hensel_special(arg,rp) |
| |
NODE arg; |
| |
LIST *rp; |
| |
{ |
| |
DCP dc; |
| |
struct oVN vn[2]; |
| |
P f,g0,h0,ak,bk,gk,hk; |
| |
V vx,vy; |
| |
VL nvl; |
| |
Q qk,cbd,bb; |
| |
int d; |
| |
NODE n; |
| |
|
| |
f = (P)ARG0(arg); |
| |
g0 = (P)ARG1(arg); |
| |
h0 = (P)ARG2(arg); |
| |
vx = VR((P)ARG3(arg)); |
| |
vy = VR((P)ARG4(arg)); |
| |
d = QTOS((Q)ARG5(arg)); |
| |
NEWVL(nvl); nvl->v = vx; |
| |
NEWVL(NEXT(nvl)); NEXT(nvl)->v = vy; |
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NEXT(NEXT(nvl)) = 0; |
| |
vn[0].v = vy; vn[0].n = 0; |
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vn[1].v = 0; vn[1].n = 0; |
| |
cbound(nvl,f,&cbd); |
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addq(cbd,cbd,&bb); |
| |
henzq1(g0,h0,bb,&bk,&ak,&qk); |
| |
henmv(nvl,vn,f,g0,h0,ak,bk,(P)ONE,(P)ONE,(P)ONE,(P)ONE,qk,d,&gk,&hk); |
| |
n = mknode(2,gk,hk); |
| |
MKLIST(*rp,n); |
| |
} |
| |
|
| void Pfctr(arg,rp) |
void Pfctr(arg,rp) |
| NODE arg; |
NODE arg; |
| LIST *rp; |
LIST *rp; |
|
|
| } |
} |
| } |
} |
| |
|
| void Pptozp(arg,rp) |
void Psfcont(arg,rp) |
| NODE arg; |
NODE arg; |
| P *rp; |
P *rp; |
| { |
{ |
| |
DCP dc; |
| |
MP mp; |
| |
int m; |
| |
Obj obj; |
| |
P p,p1; |
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P *l; |
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V v; |
| |
|
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obj = (Obj)ARG0(arg); |
| |
if ( !obj || NUM(obj) ) |
| |
*rp = (P)obj; |
| |
else if ( OID(obj) == O_P ) { |
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p = (P)obj; |
| |
if ( argc(arg) == 2 ) { |
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v = VR((P)ARG1(arg)); |
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change_mvar(CO,p,v,&p1); |
| |
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)); |
| |
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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void Pptozp(arg,rp) |
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NODE arg; |
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Obj *rp; |
| |
{ |
| 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; |
| |
|
| 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 */ |
| |
if ( current_option ) { |
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for ( tt = current_option; tt; tt = NEXT(tt) ) { |
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p = BDY((LIST)BDY(tt)); |
| |
key = BDY((STRING)BDY(p)); |
| |
/* value = (Obj)BDY(NEXT(p)); */ |
| |
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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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 |
| |
in the format [zpoly, num] where num*zpoly is equal to the argument.*/ |
| |
if (get_factor) { |
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n0 = mknode(2,pp,t); |
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MKLIST(list,n0); |
| |
*rp = (Obj)list; |
| |
} else |
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*rp = (Obj)pp; |
| } |
} |
| |
|
| void Pafctr(arg,rp) |
void Pafctr(arg,rp) |
|
|
| |
|
| UM *resberle(); |
UM *resberle(); |
| |
|
| |
void reduce_sfdc(DCP sfdc, DCP *dc); |
| |
|
| 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; |
| |
P p; |
| |
Obj u; |
| |
VL vl; |
| |
|
| 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); |
| |
clctv(CO,p,&vl); |
| |
if ( !vl ) { |
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NEWDC(dc); COEF(dc) = p; DEG(dc) = ONE; NEXT(dc) = 0; |
| |
} else if ( !NEXT(vl) ) |
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modfctrp(ARG0(arg),mod,NEWDDD,&dc); |
| |
else { |
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/* XXX 16384 should be replaced by a macro */ |
| |
for ( i = 1, t = mod; t*mod < 16384; t *= mod, i++ ); |
| |
current_ff = FF_GFS; |
| |
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); |
| |
} |
| 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; |
| } |
} |
|
|
| gcdsf(CO,ps,2,rp); |
gcdsf(CO,ps,2,rp); |
| } |
} |
| |
|
| |
void Psffctr(arg,rp) |
| |
NODE arg; |
| |
LIST *rp; |
| |
{ |
| |
DCP dc; |
| |
|
| |
mfctrsf(CO,ARG0(arg),&dc); |
| |
dcptolist(dc,rp); |
| |
} |
| |
|
| void Psfsqfr(arg,rp) |
void Psfsqfr(arg,rp) |
| NODE arg; |
NODE arg; |
| LIST *rp; |
LIST *rp; |
|
|
| { |
{ |
| DCP dc; |
DCP dc; |
| |
|
| fctrsf(ARG0(arg),&dc); |
ufctrsf(ARG0(arg),&dc); |
| dcptolist(dc,rp); |
dcptolist(dc,rp); |
| } |
} |
| |
|
|
|
| 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; |
| |
} |
| |
|
| |
void reduce_sfdc(DCP sfdc,DCP *dcr) |
| |
{ |
| |
P c,t,s,u,f; |
| |
DCP dc0,dc,tdc; |
| |
DCP *a; |
| |
int i,j,n; |
| |
|
| |
if ( !current_gfs_ext ) { |
| |
/* we simply apply sfptop() */ |
| |
for ( dc0 = 0; sfdc; sfdc = NEXT(sfdc) ) { |
| |
NEXTDC(dc0,dc); |
| |
DEG(dc) = DEG(sfdc); |
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sfptop(COEF(sfdc),&COEF(dc)); |
| |
} |
| |
NEXT(dc) = 0; |
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*dcr = dc0; |
| |
return; |
| |
} |
| |
|
| |
if ( NUM(COEF(sfdc)) ) { |
| |
sfptop(COEF(sfdc),&c); |
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sfdc = NEXT(sfdc); |
| |
} else |
| |
c = (P)ONE; |
| |
|
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for ( n = 0, tdc = sfdc; tdc; tdc = NEXT(tdc), n++ ); |
| |
a = (DCP *)ALLOCA(n*sizeof(DCP)); |
| |
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; |
| |
for ( i = 0; i < n; i++ ) { |
| |
if ( !a[i] ) |
| |
continue; |
| |
t = COEF(a[i]); |
| |
f = t; |
| |
while ( 1 ) { |
| |
sf_galois_action(t,ONE,&s); |
| |
for ( j = i; j < n; j++ ) |
| |
if ( a[j] && !compp(CO,s,COEF(a[j])) ) |
| |
break; |
| |
if ( j == n ) |
| |
error("reduce_sfdc : cannot happen"); |
| |
if ( j == i ) { |
| |
NEXTDC(dc0,dc); DEG(dc) = DEG(a[i]); |
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sfptop(f,&COEF(dc)); |
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break; |
| |
} else { |
| |
mulp(CO,f,s,&u); f = u; |
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t = s; |
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a[j] = 0; |
| |
} |
| |
} |
| |
} |
| |
*dcr = dc0; |
| } |
} |