version 1.36, 2005/11/25 07:18:32 |
version 1.42, 2006/08/27 22:17:27 |
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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/engine/dist.c,v 1.35 2005/11/25 02:43:39 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.41 2006/08/08 02:39:17 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
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Line 1121 int compd(VL vl,DP p1,DP p2) |
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Line 1121 int compd(VL vl,DP p1,DP p2) |
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return p2 ? -1 : 0; |
return p2 ? -1 : 0; |
else if ( !p2 ) |
else if ( !p2 ) |
return 1; |
return 1; |
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else if ( NV(p1) != NV(p2) ) |
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error("compd : size mismatch"); |
else { |
else { |
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2); |
for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2); |
m1 && m2; m1 = NEXT(m1), m2 = NEXT(m2) ) |
m1 && m2; m1 = NEXT(m1), m2 = NEXT(m2) ) |
Line 1496 int cmpdl_order_pair(int n,DL d1,DL d2) |
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Line 1498 int cmpdl_order_pair(int n,DL d1,DL d2) |
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struct order_pair *pair; |
struct order_pair *pair; |
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len = dp_current_spec->ord.block.length; |
len = dp_current_spec->ord.block.length; |
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if ( n != dp_current_spec->nv ) |
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error("cmpdl_order_pair : incompatible order specification"); |
pair = dp_current_spec->ord.block.order_pair; |
pair = dp_current_spec->ord.block.order_pair; |
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head = 0; |
head = 0; |
Line 1799 int ni_next(int *a,int n) |
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Line 1803 int ni_next(int *a,int n) |
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int comp_nbm(NBM a,NBM b) |
int comp_nbm(NBM a,NBM b) |
{ |
{ |
int d,i,w; |
int d,i,w,ai,bi; |
int *ab,*bb; |
int *ab,*bb; |
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if ( a->d > b->d ) return 1; |
if ( a->d > b->d ) return 1; |
else if ( a->d < b->d ) return -1; |
else if ( a->d < b->d ) return -1; |
else { |
else { |
d = a->d; ab = a->b; bb = b->b; |
d = a->d; ab = a->b; bb = b->b; |
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#if 0 |
w = (d+31)/32; |
w = (d+31)/32; |
for ( i = 0; i < w; i++ ) |
for ( i = 0; i < w; i++ ) |
if ( ab[i] > bb[i] ) return 1; |
if ( ab[i] > bb[i] ) return 1; |
else if ( ab[i] < bb[i] ) return -1; |
else if ( ab[i] < bb[i] ) return -1; |
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#else |
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for ( i = 0; i < d; i++ ) { |
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ai = NBM_GET(ab,i); |
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bi = NBM_GET(bb,i); |
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if ( ai > bi ) return 1; |
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else if ( ai < bi ) return -1; |
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} |
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#endif |
return 0; |
return 0; |
} |
} |
} |
} |
Line 1819 NBM mul_nbm(NBM a,NBM b) |
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Line 1832 NBM mul_nbm(NBM a,NBM b) |
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int ad,bd,d,i,j; |
int ad,bd,d,i,j; |
int *ab,*bb,*mb; |
int *ab,*bb,*mb; |
NBM m; |
NBM m; |
Q c,c1; |
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NODE r; |
NODE r; |
NBP u; |
NBP u; |
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ad = a->d; bd = b->d; ab = a->b; bb = b->b; |
ad = a->d; bd = b->d; ab = a->b; bb = b->b; |
d = ad + bd; |
d = ad + bd; |
NEWNBM(m); NEWNBMBDY(m,d); |
NEWNBM(m); NEWNBMBDY(m,d); |
m->d = d; mulq(a->c,b->c,&m->c); mb = m->b; |
m->d = d; mulp(CO,a->c,b->c,&m->c); mb = m->b; |
j = 0; |
j = 0; |
for ( i = 0; i < ad; i++, j++ ) |
for ( i = 0; i < ad; i++, j++ ) |
if ( NBM_GET(ab,i) ) NBM_SET(mb,j); |
if ( NBM_GET(ab,i) ) NBM_SET(mb,j); |
Line 1837 NBM mul_nbm(NBM a,NBM b) |
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Line 1849 NBM mul_nbm(NBM a,NBM b) |
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return m; |
return m; |
} |
} |
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NBP shuffle_mul_nbm(NBM a,NBM b) |
NBP nbmtonbp(NBM m) |
{ |
{ |
int ad,bd,d,i,ai,bi,bit,s; |
NODE n; |
int *ab,*bb,*wmb,*w; |
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NBM wm,tm; |
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Q c,c1; |
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NODE r,t,t1,p; |
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NBP u; |
NBP u; |
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ad = a->d; bd = b->d; ab = a->b; bb = b->b; |
MKNODE(n,m,0); |
d = ad + bd; |
MKNBP(u,n); |
w = (int *)ALLOCA(d*sizeof(int)); |
return u; |
NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
} |
for ( i = 0; i < ad; i++ ) w[i] = 1; |
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for ( ; i < d; i++ ) w[i] = 0; |
/* a=c*x*rest -> a0= x*rest, ah=x, ar=rest */ |
mulq(a->c,b->c,&c); |
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r = 0; |
P separate_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar) |
do { |
{ |
wm->d = d; wm->c = c; |
int i,d1; |
ai = 0; bi = 0; |
NBM t; |
for ( i = 0; i < d; i++ ) { |
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if ( w[i] ) { bit = NBM_GET(ab,ai); ai++; } |
if ( !a->d ) error("separate_nbm : invalid argument"); |
else { bit = NBM_GET(bb,bi); bi++; } |
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if ( bit ) NBM_SET(wmb,i); |
if ( a0 ) { |
else NBM_CLR(wmb,i); |
NEWNBM(t); t->d = a->d; t->b = a->b; t->c = (P)ONE; |
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*a0 = nbmtonbp(t); |
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} |
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if ( ah ) { |
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NEWNBM(t); NEWNBMBDY(t,1); t->d = 1; t->c = (P)ONE; |
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if ( NBM_GET(a->b,0) ) NBM_SET(t->b,0); |
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else NBM_CLR(t->b,0); |
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*ah = nbmtonbp(t); |
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} |
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if ( ar ) { |
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d1 = a->d-1; |
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NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = (P)ONE; |
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for ( i = 0; i < d1; i++ ) { |
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if ( NBM_GET(a->b,i+1) ) NBM_SET(t->b,i); |
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else NBM_CLR(t->b,i); |
} |
} |
for ( p = 0, t = r; t; p = t, t = NEXT(t) ) { |
*ar = nbmtonbp(t); |
tm = (NBM)BDY(t); |
} |
s = comp_nbm(tm,wm); |
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if ( s < 0 ) { |
return a->c; |
/* insert */ |
} |
MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
/* a=c*rest*x -> a0= rest*x, ar=rest, at=x */ |
else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
P separate_tail_nbm(NBM a,NBP *a0,NBP *ar,NBP *at) |
break; |
{ |
} else if ( s == 0 ) { |
int i,d,d1; |
/* add coefs */ |
NBM t; |
addq(tm->c,c,&c1); |
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if ( c1 ) tm->c = c1; |
if ( !(d=a->d) ) error("separate_tail_nbm : invalid argument"); |
else NEXT(p) = NEXT(t); |
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break; |
if ( a0 ) { |
} |
NEWNBM(t); t->d = a->d; t->b = a->b; t->c = (P)ONE; |
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*a0 = nbmtonbp(t); |
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} |
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d1 = a->d-1; |
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if ( at ) { |
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NEWNBM(t); NEWNBMBDY(t,1); t->d = 1; t->c = (P)ONE; |
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if ( NBM_GET(a->b,d1) ) NBM_SET(t->b,0); |
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else NBM_CLR(t->b,0); |
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*at = nbmtonbp(t); |
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} |
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if ( ar ) { |
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NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = (P)ONE; |
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for ( i = 0; i < d1; i++ ) { |
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if ( NBM_GET(a->b,i) ) NBM_SET(t->b,i); |
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else NBM_CLR(t->b,i); |
} |
} |
if ( !t ) { |
*ar = nbmtonbp(t); |
/* append */ |
} |
MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
return a->c; |
else NEXT(p) = t1; |
} |
NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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NBP make_xky(int k) |
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{ |
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int k1,i; |
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NBM t; |
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NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = (P)ONE; |
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k1 = k-1; |
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for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i); |
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NBM_CLR(t->b,i); |
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return nbmtonbp(t); |
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} |
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/* a=c*x^(k-1)*y*rest -> a0= x^(k-1)*y*rest, ah=x^(k-1)*y, ar=rest */ |
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P separate_xky_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar) |
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{ |
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int i,d1,k,k1; |
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NBM t; |
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if ( !a->d ) |
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error("separate_nbm : invalid argument"); |
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for ( i = 0; i < a->d && NBM_GET(a->b,i); i++ ); |
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if ( i == a->d ) |
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error("separate_nbm : invalid argument"); |
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k1 = i; |
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k = i+1; |
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if ( a0 ) { |
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NEWNBM(t); t->d = a->d; t->b = a->b; t->c = (P)ONE; |
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*a0 = nbmtonbp(t); |
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} |
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if ( ah ) { |
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NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = (P)ONE; |
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for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i); |
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NBM_CLR(t->b,i); |
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*ah = nbmtonbp(t); |
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} |
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if ( ar ) { |
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d1 = a->d-k; |
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NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = (P)ONE; |
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for ( i = 0; i < d1; i++ ) { |
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if ( NBM_GET(a->b,i+k) ) NBM_SET(t->b,i); |
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else NBM_CLR(t->b,i); |
} |
} |
} while ( ni_next(w,d) ); |
*ar = nbmtonbp(t); |
MKNBP(u,r); |
} |
return u; |
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return a->c; |
} |
} |
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int nbmtoxky(NBM a,int *b) |
void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp); |
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void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp); |
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void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp); |
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void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp); |
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NBP shuffle_mul_nbm(NBM a,NBM b) |
{ |
{ |
int d,i,j,k; |
NBP u,a0,ah,ar,b0,bh,br,a1,b1,t; |
int *p; |
P ac,bc,c; |
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d = a->d; p = a->b; |
if ( !a->d || !b->d ) |
for ( i = j = 0, k = 1; i < d; i++ ) { |
u = nbmtonbp(mul_nbm(a,b)); |
if ( !NBM_GET(p,i) ) { |
else { |
b[j++] = k; |
ac = separate_nbm(a,&a0,&ah,&ar); |
k = 1; |
bc = separate_nbm(b,&b0,&bh,&br); |
} else k++; |
mulp(CO,ac,bc,&c); |
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shuffle_mulnbp(CO,ar,b0,&t); mulnbp(CO,ah,t,&a1); |
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shuffle_mulnbp(CO,a0,br,&t); mulnbp(CO,bh,t,&b1); |
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addnbp(CO,a1,b1,&t); mulnbp(CO,(NBP)c,t,&u); |
} |
} |
return j; |
return u; |
} |
} |
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NBP harmonic_mul_nbm(NBM a,NBM b) |
NBP harmonic_mul_nbm(NBM a,NBM b) |
{ |
{ |
int da,db,d,la,lb,lmax,lmin,l,lab,la1,lb1,lab1; |
NBP u,a0,ah,ar,b0,bh,br,a1,b1,t,s,abk,ab1; |
int i,j,k,ia,ib,s; |
P ac,bc,c; |
int *wa,*wb,*w,*wab,*wa1,*wmb; |
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Q c,c1; |
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NBM wm,tm; |
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NODE r,t1,t,p; |
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NBP u; |
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da = a->d; db = b->d; d = da+db; |
if ( !a->d || !b->d ) |
wa = (int *)ALLOCA(da*sizeof(int)); |
u = nbmtonbp(mul_nbm(a,b)); |
wb = (int *)ALLOCA(db*sizeof(int)); |
else { |
la = nbmtoxky(a,wa); |
mulp(CO,a->c,b->c,&c); |
lb = nbmtoxky(b,wb); |
ac = separate_xky_nbm(a,&a0,&ah,&ar); |
mulq(a->c,b->c,&c); |
bc = separate_xky_nbm(b,&b0,&bh,&br); |
/* wa[0],..,wa[la-1] <-> x^wa[0]y x^wa[1]y .. */ |
mulp(CO,ac,bc,&c); |
/* lmax : total length */ |
harmonic_mulnbp(CO,ar,b0,&t); mulnbp(CO,ah,t,&a1); |
lmax = la+lb; |
harmonic_mulnbp(CO,a0,br,&t); mulnbp(CO,bh,t,&b1); |
lmin = la>lb?la:lb; |
abk = make_xky(((NBM)BDY(BDY(ah)))->d+((NBM)BDY(BDY(bh)))->d); |
w = (int *)ALLOCA(lmax*sizeof(int)); |
harmonic_mulnbp(CO,ar,br,&t); mulnbp(CO,abk,t,&ab1); |
/* position of a+b */ |
addnbp(CO,a1,b1,&t); addnbp(CO,t,ab1,&s); mulnbp(CO,(NBP)c,s,&u); |
wab = (int *)ALLOCA(lmax*sizeof(int)); |
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/* position of a */ |
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wa1 = (int *)ALLOCA(lmax*sizeof(int)); |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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for ( l = lmin, r = 0; l <= lmax; l++ ) { |
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lab = lmax - l; |
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la1 = la - lab; |
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lb1 = lb - lab; |
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lab1 = l-lab; |
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/* partion l into three parts: a, b, a+b */ |
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/* initialize wab */ |
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for ( i = 0; i < lab; i++ ) wab[i] = 1; |
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for ( ; i < l; i++ ) wab[i] = 0; |
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do { |
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/* initialize wa1 */ |
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for ( i = 0; i < la1; i++ ) wa1[i] = 1; |
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for ( ; i < lab1; i++ ) wa1[i] = 0; |
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do { |
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ia = 0; ib = 0; |
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for ( i = j = 0; i < l; i++ ) |
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if ( wab[i] ) w[i] = wa[ia++]+wb[ib++]; |
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else if ( wa1[j++] ) w[i] = wa[ia++]; |
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else w[i] = wb[ib++]; |
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for ( i = j = 0; i < l; i++ ) { |
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for ( k = w[i]-1; k > 0; k--, j++ ) NBM_SET(wmb,j); |
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NBM_CLR(wmb,j); j++; |
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} |
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wm->d = j; wm->c = c; |
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for ( p = 0, t = r; t; p = t, t = NEXT(t) ) { |
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tm = (NBM)BDY(t); |
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s = comp_nbm(tm,wm); |
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if ( s < 0 ) { |
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/* insert */ |
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MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
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else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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break; |
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} else if ( s == 0 ) { |
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/* add coefs */ |
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addq(tm->c,c,&c1); |
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if ( c1 ) tm->c = c1; |
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else NEXT(p) = NEXT(t); |
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break; |
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} |
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} |
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if ( !t ) { |
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/* append */ |
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MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
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else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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} |
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} while ( ni_next(wa1,lab1) ); |
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} while ( ni_next(wab,l) ); |
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} |
} |
MKNBP(u,r); |
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return u; |
return u; |
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} |
} |
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void addnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
void addnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
{ |
{ |
NODE b1,b2,br,br0; |
NODE b1,b2,br,br0; |
NBM m1,m2,m; |
NBM m1,m2,m; |
Q c; |
P c; |
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if ( !p1 ) |
if ( !p1 ) |
*rp = p2; |
*rp = p2; |
Line 2005 void addnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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Line 2039 void addnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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m1 = (NBM)BDY(b1); m2 = (NBM)BDY(b2); |
m1 = (NBM)BDY(b1); m2 = (NBM)BDY(b2); |
switch ( comp_nbm(m1,m2) ) { |
switch ( comp_nbm(m1,m2) ) { |
case 0: |
case 0: |
addq(m1->c,m2->c,&c); |
addp(CO,m1->c,m2->c,&c); |
if ( c ) { |
if ( c ) { |
NEXTNODE(br0,br); |
NEXTNODE(br0,br); |
NEWNBM(m); m->d = m1->d; m->c = c; m->b = m1->b; |
NEWNBM(m); m->d = m1->d; m->c = c; m->b = m1->b; |
Line 2055 void chsgnnbp(NBP p,NBP *rp) |
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Line 2089 void chsgnnbp(NBP p,NBP *rp) |
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for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) { |
for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) { |
NEXTNODE(r0,r); |
NEXTNODE(r0,r); |
m = (NBM)BDY(b); |
m = (NBM)BDY(b); |
NEWNBM(m1); m1->d = m->d; m1->b = m->b; chsgnq(m->c,&m1->c); |
NEWNBM(m1); m1->d = m->d; m1->b = m->b; chsgnp(m->c,&m1->c); |
BDY(r) = m1; |
BDY(r) = m1; |
} |
} |
if ( r0 ) NEXT(r) = 0; |
if ( r0 ) NEXT(r) = 0; |
MKNBP(*rp,r0); |
MKNBP(*rp,r0); |
} |
} |
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void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp); |
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void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp); |
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void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
{ |
{ |
NODE b,n; |
NODE b,n; |
Line 2075 void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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Line 2106 void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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*rp = 0; return; |
*rp = 0; return; |
} |
} |
if ( OID(p1) != O_NBP ) { |
if ( OID(p1) != O_NBP ) { |
if ( !NUM(p1) || !RATN(p1) ) error("mulnbp : invalid argument"); |
if ( !POLY(p1) ) |
NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1; |
error("mulnbp : invalid argument"); |
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NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p1; |
MKNODE(n,m,0); MKNBP(p1,n); |
MKNODE(n,m,0); MKNBP(p1,n); |
} |
} |
if ( OID(p2) != O_NBP ) { |
if ( OID(p2) != O_NBP ) { |
if ( !NUM(p2) || !RATN(p2) ) error("mulnbp : invalid argument"); |
if ( !POLY(p2) ) |
NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p2; |
error("mulnbp : invalid argument"); |
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NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p2; |
MKNODE(n,m,0); MKNBP(p2,n); |
MKNODE(n,m,0); MKNBP(p2,n); |
} |
} |
if ( length(BDY(p1)) < length(BDY(p2)) ) { |
if ( length(BDY(p1)) < length(BDY(p2)) ) { |
Line 2139 void pwrnbp(VL vl,NBP a,Q q,NBP *c) |
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Line 2172 void pwrnbp(VL vl,NBP a,Q q,NBP *c) |
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NODE r; |
NODE r; |
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if ( !q ) { |
if ( !q ) { |
NEWNBM(m); m->d = 0; m->c = ONE; m->b = 0; |
NEWNBM(m); m->d = 0; m->c = (P)ONE; m->b = 0; |
MKNODE(r,m,0); MKNBP(*c,r); |
MKNODE(r,m,0); MKNBP(*c,r); |
} else if ( !a ) |
} else if ( !a ) |
*c = 0; |
*c = 0; |
Line 2156 void pwrnbp(VL vl,NBP a,Q q,NBP *c) |
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Line 2189 void pwrnbp(VL vl,NBP a,Q q,NBP *c) |
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} |
} |
} |
} |
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int compnbp(VL vl,NBP p1,NBP p2) |
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{ |
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NODE n1,n2; |
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NBM m1,m2; |
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int t; |
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if ( !p1 ) |
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return p2 ? -1 : 0; |
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else if ( !p2 ) |
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return 1; |
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else { |
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for ( n1 = BDY(p1), n2 = BDY(p2); |
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n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) { |
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m1 = (NBM)BDY(n1); m2 = (NBM)BDY(n2); |
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if ( (t = comp_nbm(m1,m2)) || (t = compp(CO,m1->c,m2->c) ) ) |
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return t; |
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} |
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if ( n1 ) |
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return 1; |
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else if ( n2 ) |
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return -1; |
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else |
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return 0; |
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} |
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} |
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void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
{ |
{ |
NODE b1,b2,n; |
NODE b1,b2,n; |
Line 2166 void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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Line 2225 void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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*rp = 0; return; |
*rp = 0; return; |
} |
} |
if ( OID(p1) != O_NBP ) { |
if ( OID(p1) != O_NBP ) { |
if ( !NUM(p1) || !RATN(p1) ) error("mulnbp : invalid argument"); |
if ( !POLY(p1) ) |
NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1; |
error("shuffle_mulnbp : invalid argument"); |
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NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p1; |
MKNODE(n,m,0); MKNBP(p1,n); |
MKNODE(n,m,0); MKNBP(p1,n); |
} |
} |
if ( OID(p2) != O_NBP ) { |
if ( OID(p2) != O_NBP ) { |
if ( !NUM(p2) || !RATN(p2) ) error("mulnbp : invalid argument"); |
if ( !POLY(p2) ) |
NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p2; |
error("shuffle_mulnbp : invalid argument"); |
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NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p2; |
MKNODE(n,m,0); MKNBP(p2,n); |
MKNODE(n,m,0); MKNBP(p2,n); |
} |
} |
for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) ) |
for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) ) |
Line 2193 void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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Line 2254 void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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*rp = 0; return; |
*rp = 0; return; |
} |
} |
if ( OID(p1) != O_NBP ) { |
if ( OID(p1) != O_NBP ) { |
if ( !NUM(p1) || !RATN(p1) ) error("mulnbp : invalid argument"); |
if ( !POLY(p1) ) |
NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1; |
error("harmonic_mulnbp : invalid argument"); |
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NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p1; |
MKNODE(n,m,0); MKNBP(p1,n); |
MKNODE(n,m,0); MKNBP(p1,n); |
} |
} |
if ( OID(p2) != O_NBP ) { |
if ( OID(p2) != O_NBP ) { |
if ( !NUM(p2) || !RATN(p2) ) error("mulnbp : invalid argument"); |
if ( !POLY(p2) ) |
NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p2; |
error("harmonic_mulnbp : invalid argument"); |
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NEWNBM(m); m->d = 0; m->b = 0; m->c = (P)p2; |
MKNODE(n,m,0); MKNBP(p2,n); |
MKNODE(n,m,0); MKNBP(p2,n); |
} |
} |
for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) ) |
for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) ) |
Line 2209 void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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Line 2272 void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp) |
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} |
} |
*rp = r; |
*rp = r; |
} |
} |
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#if 0 |
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NBP shuffle_mul_nbm(NBM a,NBM b) |
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{ |
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int ad,bd,d,i,ai,bi,bit,s; |
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int *ab,*bb,*wmb,*w; |
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NBM wm,tm; |
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P c,c1; |
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NODE r,t,t1,p; |
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NBP u; |
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ad = a->d; bd = b->d; ab = a->b; bb = b->b; |
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d = ad + bd; |
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w = (int *)ALLOCA(d*sizeof(int)); |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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for ( i = 0; i < ad; i++ ) w[i] = 1; |
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for ( ; i < d; i++ ) w[i] = 0; |
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mulp(CO,a->c,b->c,&c); |
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r = 0; |
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do { |
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wm->d = d; wm->c = c; |
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ai = 0; bi = 0; |
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for ( i = 0; i < d; i++ ) { |
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if ( w[i] ) { bit = NBM_GET(ab,ai); ai++; } |
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else { bit = NBM_GET(bb,bi); bi++; } |
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if ( bit ) NBM_SET(wmb,i); |
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else NBM_CLR(wmb,i); |
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} |
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for ( p = 0, t = r; t; p = t, t = NEXT(t) ) { |
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tm = (NBM)BDY(t); |
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s = comp_nbm(tm,wm); |
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if ( s < 0 ) { |
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/* insert */ |
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MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
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else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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break; |
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} else if ( s == 0 ) { |
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/* add coefs */ |
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addp(CO,tm->c,c,&c1); |
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if ( c1 ) tm->c = c1; |
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else NEXT(p) = NEXT(t); |
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break; |
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} |
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} |
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if ( !t ) { |
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/* append */ |
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MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
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else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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} |
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} while ( ni_next(w,d) ); |
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MKNBP(u,r); |
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return u; |
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} |
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int nbmtoxky(NBM a,int *b) |
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{ |
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int d,i,j,k; |
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int *p; |
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d = a->d; p = a->b; |
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for ( i = j = 0, k = 1; i < d; i++ ) { |
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if ( !NBM_GET(p,i) ) { |
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b[j++] = k; |
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k = 1; |
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} else k++; |
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} |
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return j; |
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} |
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NBP harmonic_mul_nbm(NBM a,NBM b) |
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{ |
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int da,db,d,la,lb,lmax,lmin,l,lab,la1,lb1,lab1; |
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int i,j,k,ia,ib,s; |
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int *wa,*wb,*w,*wab,*wa1,*wmb; |
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P c,c1; |
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NBM wm,tm; |
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NODE r,t1,t,p; |
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NBP u; |
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da = a->d; db = b->d; d = da+db; |
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wa = (int *)ALLOCA(da*sizeof(int)); |
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wb = (int *)ALLOCA(db*sizeof(int)); |
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la = nbmtoxky(a,wa); |
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lb = nbmtoxky(b,wb); |
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mulp(CO,a->c,b->c,&c); |
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/* wa[0],..,wa[la-1] <-> x^wa[0]y x^wa[1]y .. */ |
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/* lmax : total length */ |
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lmax = la+lb; |
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lmin = la>lb?la:lb; |
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w = (int *)ALLOCA(lmax*sizeof(int)); |
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/* position of a+b */ |
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wab = (int *)ALLOCA(lmax*sizeof(int)); |
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/* position of a */ |
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wa1 = (int *)ALLOCA(lmax*sizeof(int)); |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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for ( l = lmin, r = 0; l <= lmax; l++ ) { |
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lab = lmax - l; |
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la1 = la - lab; |
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lb1 = lb - lab; |
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lab1 = l-lab; |
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/* partion l into three parts: a, b, a+b */ |
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/* initialize wab */ |
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for ( i = 0; i < lab; i++ ) wab[i] = 1; |
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for ( ; i < l; i++ ) wab[i] = 0; |
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do { |
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/* initialize wa1 */ |
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for ( i = 0; i < la1; i++ ) wa1[i] = 1; |
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for ( ; i < lab1; i++ ) wa1[i] = 0; |
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do { |
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ia = 0; ib = 0; |
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for ( i = j = 0; i < l; i++ ) |
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if ( wab[i] ) w[i] = wa[ia++]+wb[ib++]; |
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else if ( wa1[j++] ) w[i] = wa[ia++]; |
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else w[i] = wb[ib++]; |
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for ( i = j = 0; i < l; i++ ) { |
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for ( k = w[i]-1; k > 0; k--, j++ ) NBM_SET(wmb,j); |
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NBM_CLR(wmb,j); j++; |
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} |
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wm->d = j; wm->c = c; |
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for ( p = 0, t = r; t; p = t, t = NEXT(t) ) { |
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tm = (NBM)BDY(t); |
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s = comp_nbm(tm,wm); |
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if ( s < 0 ) { |
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/* insert */ |
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MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
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else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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break; |
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} else if ( s == 0 ) { |
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/* add coefs */ |
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addp(CO,tm->c,c,&c1); |
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if ( c1 ) tm->c = c1; |
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else NEXT(p) = NEXT(t); |
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break; |
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} |
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} |
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if ( !t ) { |
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/* append */ |
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MKNODE(t1,wm,t); |
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if ( !p ) r = t1; |
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else NEXT(p) = t1; |
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NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b; |
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} |
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} while ( ni_next(wa1,lab1) ); |
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} while ( ni_next(wab,l) ); |
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} |
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MKNBP(u,r); |
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return u; |
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} |
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#endif |