=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/builtin/poly.c,v retrieving revision 1.1.1.1 retrieving revision 1.13 diff -u -p -r1.1.1.1 -r1.13 --- OpenXM_contrib2/asir2000/builtin/poly.c 1999/12/03 07:39:07 1.1.1.1 +++ OpenXM_contrib2/asir2000/builtin/poly.c 2001/07/13 08:25:21 1.13 @@ -1,4 +1,52 @@ -/* $OpenXM: OpenXM/src/asir99/builtin/poly.c,v 1.1.1.1 1999/11/10 08:12:26 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/poly.c,v 1.12 2001/06/29 09:08:52 noro Exp $ +*/ #include "ca.h" #include "parse.h" #include "base.h" @@ -11,13 +59,16 @@ void Pord(), Pcoef0(), Pcoef(), Pdeg(), Pmindeg(), Pse void Pcoef_gf2n(); void getcoef(), getdeglist(), mergedeglist(), change_mvar(), restore_mvar(); -void Pp_mag(); +void Pp_mag(),Pmaxblen(); void Pmergelist(), Pch_mv(), Pre_mv(), Pdeglist(); void Pptomp(),Pmptop(); void Pptolmp(),Plmptop(); +void Pptosfp(),Psfptop(),Psf_galois_action(),Psf_embed(),Psf_find_root(); +void Psf_minipoly(),Psf_log(); void Pptogf2n(),Pgf2ntop(),Pgf2ntovect(); void Pptogfpn(),Pgfpntop(); void Pfind_root_gf2n(); +void Pumul_specialmod(),Pusquare_specialmod(),Putmul_specialmod(); void Pureverse(),Putrunc(),Pudecomp(),Purembymul(),Purembymul_precomp(); void Puinvmod(),Purevinvmod(); @@ -48,7 +99,11 @@ void Pbininv_gf2n(); void Prinvtest_gf2n(); void Pis_irred_gf2(); void Pis_irred_ddd_gf2(); - +void Pget_next_fft_prime(); +void Puadj_coef(); +void Preorder(); +void Phomogeneous_part(); +void Phomogeneous_deg(); void simp_ff(Obj,Obj *); void ranp(int,UP *); void field_order_ff(N *); @@ -60,8 +115,13 @@ extern int lm_lazy; int current_ff; struct ftab poly_tab[] = { + {"homogeneous_deg",Phomogeneous_deg,-2}, + {"homogeneous_part",Phomogeneous_part,-3}, + {"reorder",Preorder,3}, + {"uadj_coef",Puadj_coef,3}, {"ranp",Pranp,2}, {"p_mag",Pp_mag,1}, + {"maxblen",Pmaxblen,1}, {"ord",Pord,-1}, {"coef0",Pcoef0,-3}, {"coef",Pcoef,-3}, @@ -91,6 +151,14 @@ struct ftab poly_tab[] = { {"ptolmp",Pptolmp,1}, {"lmptop",Plmptop,1}, + {"sf_galois_action",Psf_galois_action,2}, + {"sf_find_root",Psf_find_root,1}, + {"sf_minipoly",Psf_minipoly,2}, + {"sf_embed",Psf_embed,3}, + {"sf_log",Psf_log,1}, + + {"ptosfp",Pptosfp,1}, + {"sfptop",Psfptop,1}, {"ptogf2n",Pptogf2n,1}, {"gf2ntop",Pgf2ntop,-2}, {"gf2ntovect",Pgf2ntovect,1}, @@ -107,6 +175,10 @@ struct ftab poly_tab[] = { {"ureverse_inv_as_power_series",Purevinvmod,2}, {"uinv_as_power_series",Puinvmod,2}, + {"umul_specialmod",Pumul_specialmod,3}, + {"usquare_specialmod",Pusquare_specialmod,2}, + {"utmul_specialmod",Putmul_specialmod,4}, + {"utmul",Putmul,3}, {"umul_ff",Pumul_ff,2}, {"usquare_ff",Pusquare_ff,1}, @@ -118,7 +190,7 @@ struct ftab poly_tab[] = { {"utrunc",Putrunc,2}, {"udecomp",Pudecomp,2}, - {"ureverse",Pureverse,1}, + {"ureverse",Pureverse,-2}, {"urembymul",Purembymul,2}, {"urembymul_precomp",Purembymul_precomp,3}, @@ -150,11 +222,122 @@ struct ftab poly_tab[] = { {"bininv_gf2n",Pbininv_gf2n,2}, {"invtest_gf2n",Pinvtest_gf2n,1}, {"rinvtest_gf2n",Prinvtest_gf2n,0}, + {"get_next_fft_prime",Pget_next_fft_prime,2}, {0,0,0}, }; extern V up_var; +void Phomogeneous_part(arg,rp) +NODE arg; +P *rp; +{ + if ( argc(arg) == 2 ) + exthp(CO,(P)ARG0(arg),QTOS((Q)ARG1(arg)),rp); + else + exthpc_generic(CO,(P)ARG0(arg),QTOS((Q)ARG2(arg)), + VR((P)ARG1(arg)),rp); +} + +void Phomogeneous_deg(arg,rp) +NODE arg; +Q *rp; +{ + int d; + + if ( argc(arg) == 1 ) + d = homdeg((P)ARG0(arg)); + else + d = getchomdeg(VR((P)ARG1(arg)),(P)ARG0(arg)); + STOQ(d,*rp); +} + +/* + p1 = reorder(p,ovl,nvl) => p1 is 'sorted accoding to nvl. +*/ + +void Preorder(arg,rp) +NODE arg; +P *rp; +{ + VL ovl,nvl,tvl; + NODE n; + + for ( ovl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) { + if ( !ovl ) { + NEWVL(ovl); tvl = ovl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + for ( nvl = 0, n = BDY((LIST)ARG2(arg)); n; n = NEXT(n) ) { + if ( !nvl ) { + NEWVL(nvl); tvl = nvl; + } else { + NEWVL(NEXT(tvl)); tvl = NEXT(tvl); + } + VR(tvl) = VR((P)BDY(n)); + } + reorderp(nvl,ovl,(P)ARG0(arg),rp); +} + +/* + uadj_coef(F,M,M2) + if ( F is a non-negative integer ) + return F > M2 ? F-M : M2; + else + F = CN*V^N+...+C0 + return uadj_coef(CN,M,M2)*V^N+...+uadj_coef(C0,M,M2); +*/ + +void Puadj_coef(arg,rp) +NODE arg; +P *rp; +{ + UP f,r; + N m,m2; + + ptoup((P)ARG0(arg),&f); + m = NM((Q)ARG1(arg)); + m2 = NM((Q)ARG2(arg)); + adj_coefup(f,m,m2,&r); + uptop(r,rp); +} + +/* + get_next_fft_prime(StartIndex,Bits) + tries to find smallest Index >= StartIndex s.t. + 2^(Bits-1)|FFTprime[Index]-1 + return [Index,Mod] or 0 (not exist) +*/ + +void Pget_next_fft_prime(arg,rp) +NODE arg; +LIST *rp; +{ + unsigned int mod,d; + int start,bits,i; + NODE n; + Q q,ind; + + start = QTOS((Q)ARG0(arg)); + bits = QTOS((Q)ARG1(arg)); + for ( i = start; ; i++ ) { + get_fft_prime(i,&mod,&d); + if ( !mod ) { + *rp = 0; return; + } + if ( bits <= d ) { + UTOQ(mod,q); + UTOQ(i,ind); + n = mknode(2,ind,q); + MKLIST(*rp,n); + return; + } + } +} + void Pranp(arg,rp) NODE arg; P *rp; @@ -193,6 +376,15 @@ UP *nr; *nr = 0; } +void Pmaxblen(arg,rp) +NODE arg; +Q *rp; +{ + int l; + l = maxblenp(ARG0(arg)); + STOQ(l,*rp); +} + void Pp_mag(arg,rp) NODE arg; Q *rp; @@ -541,16 +733,25 @@ Q *rp; STOQ(ret,*rp); } +extern P current_gfs_ext; +extern int current_gfs_p; +extern int current_gfs_q; +extern int current_gfs_q1; +extern int *current_gfs_plus1; +extern int *current_gfs_ntoi; +extern int *current_gfs_iton; + void Psetmod_ff(arg,rp) NODE arg; Obj *rp; { int ac; + int d; Obj mod,defpoly; N n; UP up; UP2 up2; - Q q; + Q q,r; P p; NODE n0,n1; LIST list; @@ -563,7 +764,8 @@ Obj *rp; switch ( OID(mod) ) { case O_N: current_ff = FF_GFP; - setmod_lm(NM((Q)mod)); break; + setmod_lm(NM((Q)mod)); + break; case O_P: current_ff = FF_GF2N; setmod_gf2n((P)mod); break; @@ -571,13 +773,19 @@ Obj *rp; error("setmod_ff : invalid argument"); } } else if ( ac == 2 ) { - current_ff = FF_GFPN; - defpoly = (Obj)ARG0(arg); - mod = (Obj)ARG1(arg); - if ( !mod || !defpoly ) - error("setmod_ff : invalid argument"); - setmod_lm(NM((Q)mod)); - setmod_gfpn((P)defpoly); + if ( OID(ARG0(arg)) == O_N ) { + /* small finite field; primitive root representation */ + current_ff = FF_GFS; + setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg))); + } else { + mod = (Obj)ARG1(arg); + current_ff = FF_GFPN; + defpoly = (Obj)ARG0(arg); + if ( !mod || !defpoly ) + error("setmod_ff : invalid argument"); + setmod_lm(NM((Q)mod)); + setmod_gfpn((P)defpoly); + } } switch ( current_ff ) { case FF_GFP: @@ -590,6 +798,21 @@ Obj *rp; MKNODE(n1,q,0); MKNODE(n0,p,n1); MKLIST(list,n0); *rp = (Obj)list; break; + case FF_GFS: + STOQ(current_gfs_p,q); + if ( current_gfs_ext ) { + enc_to_p(current_gfs_p,current_gfs_iton[1], + VR(current_gfs_ext),&p); + n0 = mknode(3,q,current_gfs_ext,p); + } else { + if ( current_gfs_p == 2 ) + r = ONE; + else + STOQ(current_gfs_iton[1],r); + n0 = mknode(3,q,current_gfs_ext,r); + } + MKLIST(list,n0); + *rp = (Obj)list; break; default: *rp = 0; break; } @@ -609,6 +832,12 @@ Q *rp; getmod_gf2n(&up2); d = degup2(up2); STOQ(d,*rp); break; case FF_GFPN: getmod_gfpn(&up); STOQ(up->d,*rp); break; + case FF_GFS: + if ( !current_gfs_ext ) + *rp = ONE; + else + *rp = DEG(DC(current_gfs_ext)); + break; default: error("extdeg_ff : current_ff is not set"); } @@ -625,6 +854,8 @@ Q *rp; getmod_lm(&lm); NTOQ(lm,1,*rp); break; case FF_GF2N: STOQ(2,*rp); break; + case FF_GFS: + STOQ(current_gfs_p,*rp); break; default: error("characteristic_ff : current_ff is not set"); } @@ -667,6 +898,8 @@ N *order; case FF_GFPN: getmod_lm(&m); getmod_gfpn(&up); pwrn(m,up->d,order); break; + case FF_GFS: + STON(current_gfs_q,*order); break; default: error("field_order_ff : current_ff is not set"); } @@ -678,6 +911,7 @@ Obj *rp; LM l; GF2N g; GFPN p; + GFS s; switch ( current_ff ) { case FF_GFP: @@ -686,6 +920,8 @@ Obj *rp; randomgf2n(&g); *rp = (Obj)g; break; case FF_GFPN: randomgfpn(&p); *rp = (Obj)p; break; + case FF_GFS: + randomgfs(&s); *rp = (Obj)s; break; default: error("random_ff : current_ff is not set"); } @@ -711,6 +947,7 @@ Obj *rp; DCP dc,dcr0,dcr; GF2N rg,sg; GFPN rpn,spn; + GFS rs; P t; Obj obj; @@ -728,6 +965,14 @@ Obj *rp; case FF_GFPN: ntogfpn((Obj)p,&rpn); simpgfpn((GFPN)rpn,&spn); *rp = (Obj)spn; break; + case FF_GFS: + if ( NID((Num)p) == N_GFS ) + *rp = p; + else { + ptomp(current_gfs_p,(P)p,&t); mqtogfs(t,&rs); + *rp = (Obj)rs; + } + break; default: *rp = (Obj)p; break; @@ -941,6 +1186,97 @@ P *rp; lmptop((P)ARG0(arg),rp); } +void Psf_galois_action(arg,rp) +NODE arg; +P *rp; +{ + sf_galois_action(ARG0(arg),ARG1(arg),rp); +} + +/* + sf_embed(F,B,PM) + F : an element of GF(pn) + B : the image of the primitive root of GF(pn) + PM : order of GF(pm) +*/ + +void Psf_embed(arg,rp) +NODE arg; +P *rp; +{ + int k,pm; + + /* GF(pn)={0,1,a,a^2,...}->GF(pm)={0,1,b,b^2,...}; a->b^k */ + k = CONT((GFS)ARG1(arg)); + pm = QTOS((Q)ARG2(arg)); + sf_embed((P)ARG0(arg),k,pm,rp); +} + +void Psf_log(arg,rp) +NODE arg; +Q *rp; +{ + int k; + + if ( !ARG0(arg) ) + error("sf_log : invalid armument"); + k = CONT((GFS)ARG0(arg)); + STOQ(k,*rp); +} + +void Psf_find_root(arg,rp) +NODE arg; +GFS *rp; +{ + P p; + Obj t; + int d; + UM u; + int *root; + + p = (P)ARG0(arg); + simp_ff((Obj)p,&t); p = (P)t; + d = getdeg(VR(p),p); + u = W_UMALLOC(d); + ptosfum(p,u); + root = (int *)ALLOCA(d*sizeof(int)); + find_rootsf(u,root); + MKGFS(IFTOF(root[0]),*rp); +} + +void Psf_minipoly(arg,rp) +NODE arg; +P *rp; +{ + Obj t; + P p1,p2; + int d1,d2; + UM up1,up2,m; + + p1 = (P)ARG0(arg); simp_ff((Obj)p1,&t); p1 = (P)t; + p2 = (P)ARG1(arg); simp_ff((Obj)p2,&t); p2 = (P)t; + d1 = getdeg(VR(p1),p1); up1 = W_UMALLOC(d1); ptosfum(p1,up1); + d2 = getdeg(VR(p2),p2); up2 = W_UMALLOC(d2); ptosfum(p2,up2); + m = W_UMALLOC(d2); + minipolysf(up1,up2,m); + sfumtop(VR(p2),m,&p1); + sfptop(p1,rp); +} + +void Pptosfp(arg,rp) +NODE arg; +P *rp; +{ + ptosfp(ARG0(arg),rp); +} + +void Psfptop(arg,rp) +NODE arg; +P *rp; +{ + sfptop((P)ARG0(arg),rp); +} + void Pptogf2n(arg,rp) NODE arg; GF2N *rp; @@ -991,7 +1327,10 @@ P *rp; UP p,r; ptoup((P)ARG0(arg),&p); - reverseup(p,p->d,&r); + if ( argc(arg) == 1 ) + reverseup(p,p->d,&r); + else + reverseup(p,QTOS((Q)ARG1(arg)),&r); uptop(r,rp); } @@ -1102,6 +1441,7 @@ P *rp; case FF_GF2N: powermodup_gf2n(p1,&p2); break; case FF_GFPN: + case FF_GFS: powermodup(p1,&p2); break; default: error("pwrmod_ff : current_ff is not set"); @@ -1123,6 +1463,7 @@ P *rp; case FF_GF2N: generic_powermodup_gf2n(g,f,(Q)ARG2(arg),&r); break; case FF_GFPN: + case FF_GFS: generic_powermodup(g,f,(Q)ARG2(arg),&r); break; default: error("generic_pwrmod_ff : current_ff is not set"); @@ -1150,6 +1491,7 @@ VECT *rp; case FF_GF2N: powertabup_gf2n(f,xp,tab); break; case FF_GFPN: + case FF_GFS: powertabup(f,xp,tab); break; default: error("pwrtab_ff : current_ff is not set"); @@ -1465,4 +1807,87 @@ P *rp; ptoup((P)ARG1(arg),&f); tracemodup_gf2n(g,f,(Q)ARG2(arg),&r); uptop(r,rp); +} + +void Pumul_specialmod(arg,rp) +NODE arg; +P *rp; +{ + P a1,a2; + UP p1,p2,r; + int i,nmod; + int *modind; + NODE t,n; + + a1 = (P)ARG0(arg); a2 = (P)ARG1(arg); + if ( !a1 || !a2 || NUM(a1) || NUM(a2) ) + mulp(CO,a1,a2,rp); + else { + if ( !uzpcheck(a1) || !uzpcheck(a2) || VR(a1) != VR(a2) ) + error("umul_specialmod : invalid argument"); + ptoup(a1,&p1); + ptoup(a2,&p2); + n = BDY((LIST)ARG2(arg)); + nmod = length(n); + modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int)); + for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) ) + modind[i] = QTOS((Q)BDY(t)); + fft_mulup_specialmod_main(p1,p2,0,modind,nmod,&r); + uptop(r,rp); + } +} + +void Pusquare_specialmod(arg,rp) +NODE arg; +P *rp; +{ + P a1; + UP p1,r; + int i,nmod; + int *modind; + NODE t,n; + + a1 = (P)ARG0(arg); + if ( !a1 || NUM(a1) ) + mulp(CO,a1,a1,rp); + else { + if ( !uzpcheck(a1) ) + error("usquare_specialmod : invalid argument"); + ptoup(a1,&p1); + n = BDY((LIST)ARG1(arg)); + nmod = length(n); + modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int)); + for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) ) + modind[i] = QTOS((Q)BDY(t)); + fft_mulup_specialmod_main(p1,p1,0,modind,nmod,&r); + uptop(r,rp); + } +} + +void Putmul_specialmod(arg,rp) +NODE arg; +P *rp; +{ + P a1,a2; + UP p1,p2,r; + int i,nmod; + int *modind; + NODE t,n; + + a1 = (P)ARG0(arg); a2 = (P)ARG1(arg); + if ( !a1 || !a2 || NUM(a1) || NUM(a2) ) + mulp(CO,a1,a2,rp); + else { + if ( !uzpcheck(a1) || !uzpcheck(a2) || VR(a1) != VR(a2) ) + error("utmul_specialmod : invalid argument"); + ptoup(a1,&p1); + ptoup(a2,&p2); + n = BDY((LIST)ARG3(arg)); + nmod = length(n); + modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int)); + for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) ) + modind[i] = QTOS((Q)BDY(t)); + fft_mulup_specialmod_main(p1,p2,QTOS((Q)ARG2(arg))+1,modind,nmod,&r); + uptop(r,rp); + } }