version 1.1, 1999/12/03 07:39:07 |
version 1.7, 2001/03/14 06:04:52 |
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/* $OpenXM: OpenXM/src/asir99/builtin/poly.c,v 1.1.1.1 1999/11/10 08:12:26 noro Exp $ */ |
/* |
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* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED |
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* All rights reserved. |
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* |
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* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited, |
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* non-exclusive and royalty-free license to use, copy, modify and |
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* redistribute, solely for non-commercial and non-profit purposes, the |
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* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and |
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* conditions of this Agreement. For the avoidance of doubt, you acquire |
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* only a limited right to use the SOFTWARE hereunder, and FLL or any |
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* third party developer retains all rights, including but not limited to |
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* copyrights, in and to the SOFTWARE. |
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* |
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* (1) FLL does not grant you a license in any way for commercial |
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* purposes. You may use the SOFTWARE only for non-commercial and |
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* non-profit purposes only, such as academic, research and internal |
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* business use. |
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* (2) The SOFTWARE is protected by the Copyright Law of Japan and |
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* international copyright treaties. If you make copies of the SOFTWARE, |
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* with or without modification, as permitted hereunder, you shall affix |
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* to all such copies of the SOFTWARE the above copyright notice. |
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* (3) An explicit reference to this SOFTWARE and its copyright owner |
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* shall be made on your publication or presentation in any form of the |
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* results obtained by use of the SOFTWARE. |
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* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
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* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification |
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* for such modification or the source code of the modified part of the |
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* SOFTWARE. |
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* |
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* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL |
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* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND |
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* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS |
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* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES' |
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* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY |
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* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY. |
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* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT, |
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* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY |
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* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL |
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* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES |
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* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES |
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* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY |
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* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF |
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* SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART |
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* OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
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* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
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* |
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* $OpenXM: OpenXM_contrib2/asir2000/builtin/poly.c,v 1.6 2001/03/13 01:10:24 noro Exp $ |
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*/ |
#include "ca.h" |
#include "ca.h" |
#include "parse.h" |
#include "parse.h" |
#include "base.h" |
#include "base.h" |
Line 11 void Pord(), Pcoef0(), Pcoef(), Pdeg(), Pmindeg(), Pse |
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Line 59 void Pord(), Pcoef0(), Pcoef(), Pdeg(), Pmindeg(), Pse |
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void Pcoef_gf2n(); |
void Pcoef_gf2n(); |
void getcoef(), getdeglist(), mergedeglist(), change_mvar(), restore_mvar(); |
void getcoef(), getdeglist(), mergedeglist(), change_mvar(), restore_mvar(); |
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void Pp_mag(); |
void Pp_mag(),Pmaxblen(); |
void Pmergelist(), Pch_mv(), Pre_mv(), Pdeglist(); |
void Pmergelist(), Pch_mv(), Pre_mv(), Pdeglist(); |
void Pptomp(),Pmptop(); |
void Pptomp(),Pmptop(); |
void Pptolmp(),Plmptop(); |
void Pptolmp(),Plmptop(); |
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void Psfptop(); |
void Pptogf2n(),Pgf2ntop(),Pgf2ntovect(); |
void Pptogf2n(),Pgf2ntop(),Pgf2ntovect(); |
void Pptogfpn(),Pgfpntop(); |
void Pptogfpn(),Pgfpntop(); |
void Pfind_root_gf2n(); |
void Pfind_root_gf2n(); |
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void Pumul_specialmod(),Pusquare_specialmod(),Putmul_specialmod(); |
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void Pureverse(),Putrunc(),Pudecomp(),Purembymul(),Purembymul_precomp(); |
void Pureverse(),Putrunc(),Pudecomp(),Purembymul(),Purembymul_precomp(); |
void Puinvmod(),Purevinvmod(); |
void Puinvmod(),Purevinvmod(); |
Line 48 void Pbininv_gf2n(); |
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Line 98 void Pbininv_gf2n(); |
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void Prinvtest_gf2n(); |
void Prinvtest_gf2n(); |
void Pis_irred_gf2(); |
void Pis_irred_gf2(); |
void Pis_irred_ddd_gf2(); |
void Pis_irred_ddd_gf2(); |
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void Pget_next_fft_prime(); |
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void Puadj_coef(); |
void simp_ff(Obj,Obj *); |
void simp_ff(Obj,Obj *); |
void ranp(int,UP *); |
void ranp(int,UP *); |
void field_order_ff(N *); |
void field_order_ff(N *); |
Line 60 extern int lm_lazy; |
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Line 111 extern int lm_lazy; |
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int current_ff; |
int current_ff; |
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struct ftab poly_tab[] = { |
struct ftab poly_tab[] = { |
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{"uadj_coef",Puadj_coef,3}, |
{"ranp",Pranp,2}, |
{"ranp",Pranp,2}, |
{"p_mag",Pp_mag,1}, |
{"p_mag",Pp_mag,1}, |
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{"maxblen",Pmaxblen,1}, |
{"ord",Pord,-1}, |
{"ord",Pord,-1}, |
{"coef0",Pcoef0,-3}, |
{"coef0",Pcoef0,-3}, |
{"coef",Pcoef,-3}, |
{"coef",Pcoef,-3}, |
Line 91 struct ftab poly_tab[] = { |
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Line 144 struct ftab poly_tab[] = { |
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{"ptolmp",Pptolmp,1}, |
{"ptolmp",Pptolmp,1}, |
{"lmptop",Plmptop,1}, |
{"lmptop",Plmptop,1}, |
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{"sfptop",Psfptop,1}, |
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{"ptogf2n",Pptogf2n,1}, |
{"ptogf2n",Pptogf2n,1}, |
{"gf2ntop",Pgf2ntop,-2}, |
{"gf2ntop",Pgf2ntop,-2}, |
{"gf2ntovect",Pgf2ntovect,1}, |
{"gf2ntovect",Pgf2ntovect,1}, |
Line 107 struct ftab poly_tab[] = { |
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Line 162 struct ftab poly_tab[] = { |
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{"ureverse_inv_as_power_series",Purevinvmod,2}, |
{"ureverse_inv_as_power_series",Purevinvmod,2}, |
{"uinv_as_power_series",Puinvmod,2}, |
{"uinv_as_power_series",Puinvmod,2}, |
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{"umul_specialmod",Pumul_specialmod,3}, |
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{"usquare_specialmod",Pusquare_specialmod,2}, |
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{"utmul_specialmod",Putmul_specialmod,4}, |
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{"utmul",Putmul,3}, |
{"utmul",Putmul,3}, |
{"umul_ff",Pumul_ff,2}, |
{"umul_ff",Pumul_ff,2}, |
{"usquare_ff",Pusquare_ff,1}, |
{"usquare_ff",Pusquare_ff,1}, |
Line 118 struct ftab poly_tab[] = { |
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Line 177 struct ftab poly_tab[] = { |
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{"utrunc",Putrunc,2}, |
{"utrunc",Putrunc,2}, |
{"udecomp",Pudecomp,2}, |
{"udecomp",Pudecomp,2}, |
{"ureverse",Pureverse,1}, |
{"ureverse",Pureverse,-2}, |
{"urembymul",Purembymul,2}, |
{"urembymul",Purembymul,2}, |
{"urembymul_precomp",Purembymul_precomp,3}, |
{"urembymul_precomp",Purembymul_precomp,3}, |
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Line 150 struct ftab poly_tab[] = { |
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Line 209 struct ftab poly_tab[] = { |
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{"bininv_gf2n",Pbininv_gf2n,2}, |
{"bininv_gf2n",Pbininv_gf2n,2}, |
{"invtest_gf2n",Pinvtest_gf2n,1}, |
{"invtest_gf2n",Pinvtest_gf2n,1}, |
{"rinvtest_gf2n",Prinvtest_gf2n,0}, |
{"rinvtest_gf2n",Prinvtest_gf2n,0}, |
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{"get_next_fft_prime",Pget_next_fft_prime,2}, |
{0,0,0}, |
{0,0,0}, |
}; |
}; |
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extern V up_var; |
extern V up_var; |
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/* |
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uadj_coef(F,M,M2) |
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if ( F is a non-negative integer ) |
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return F > M2 ? F-M : M2; |
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else |
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F = CN*V^N+...+C0 |
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return uadj_coef(CN,M,M2)*V^N+...+uadj_coef(C0,M,M2); |
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*/ |
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void Puadj_coef(arg,rp) |
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NODE arg; |
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P *rp; |
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{ |
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UP f,r; |
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N m,m2; |
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ptoup((P)ARG0(arg),&f); |
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m = NM((Q)ARG1(arg)); |
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m2 = NM((Q)ARG2(arg)); |
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adj_coefup(f,m,m2,&r); |
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uptop(r,rp); |
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} |
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/* |
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get_next_fft_prime(StartIndex,Bits) |
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tries to find smallest Index >= StartIndex s.t. |
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2^(Bits-1)|FFTprime[Index]-1 |
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return [Index,Mod] or 0 (not exist) |
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*/ |
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void Pget_next_fft_prime(arg,rp) |
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NODE arg; |
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LIST *rp; |
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{ |
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unsigned int mod,d; |
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int start,bits,i; |
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NODE n; |
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Q q,ind; |
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start = QTOS((Q)ARG0(arg)); |
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bits = QTOS((Q)ARG1(arg)); |
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for ( i = start; ; i++ ) { |
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get_fft_prime(i,&mod,&d); |
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if ( !mod ) { |
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*rp = 0; return; |
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} |
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if ( bits <= d ) { |
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UTOQ(mod,q); |
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UTOQ(i,ind); |
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n = mknode(2,ind,q); |
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MKLIST(*rp,n); |
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return; |
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} |
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} |
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} |
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void Pranp(arg,rp) |
void Pranp(arg,rp) |
NODE arg; |
NODE arg; |
P *rp; |
P *rp; |
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*nr = 0; |
*nr = 0; |
} |
} |
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void Pmaxblen(arg,rp) |
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NODE arg; |
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Q *rp; |
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{ |
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int l; |
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l = maxblenp(ARG0(arg)); |
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STOQ(l,*rp); |
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} |
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void Pp_mag(arg,rp) |
void Pp_mag(arg,rp) |
NODE arg; |
NODE arg; |
Q *rp; |
Q *rp; |
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STOQ(ret,*rp); |
STOQ(ret,*rp); |
} |
} |
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extern P current_gfs_ext; |
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extern int current_gfs_p; |
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extern int current_gfs_q; |
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extern int current_gfs_q1; |
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extern int *current_gfs_plus1; |
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extern int *current_gfs_ntoi; |
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extern int *current_gfs_iton; |
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void Psetmod_ff(arg,rp) |
void Psetmod_ff(arg,rp) |
NODE arg; |
NODE arg; |
Obj *rp; |
Obj *rp; |
{ |
{ |
int ac; |
int ac; |
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int d; |
Obj mod,defpoly; |
Obj mod,defpoly; |
N n; |
N n; |
UP up; |
UP up; |
UP2 up2; |
UP2 up2; |
Q q; |
Q q,r; |
P p; |
P p; |
NODE n0,n1; |
NODE n0,n1; |
LIST list; |
LIST list; |
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switch ( OID(mod) ) { |
switch ( OID(mod) ) { |
case O_N: |
case O_N: |
current_ff = FF_GFP; |
current_ff = FF_GFP; |
setmod_lm(NM((Q)mod)); break; |
setmod_lm(NM((Q)mod)); |
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break; |
case O_P: |
case O_P: |
current_ff = FF_GF2N; |
current_ff = FF_GF2N; |
setmod_gf2n((P)mod); break; |
setmod_gf2n((P)mod); break; |
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error("setmod_ff : invalid argument"); |
error("setmod_ff : invalid argument"); |
} |
} |
} else if ( ac == 2 ) { |
} else if ( ac == 2 ) { |
current_ff = FF_GFPN; |
if ( OID(ARG0(arg)) == O_N ) { |
defpoly = (Obj)ARG0(arg); |
/* small finite field; primitive root representation */ |
mod = (Obj)ARG1(arg); |
current_ff = FF_GFS; |
if ( !mod || !defpoly ) |
setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg))); |
error("setmod_ff : invalid argument"); |
} else { |
setmod_lm(NM((Q)mod)); |
mod = (Obj)ARG1(arg); |
setmod_gfpn((P)defpoly); |
current_ff = FF_GFPN; |
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defpoly = (Obj)ARG0(arg); |
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if ( !mod || !defpoly ) |
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error("setmod_ff : invalid argument"); |
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setmod_lm(NM((Q)mod)); |
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setmod_gfpn((P)defpoly); |
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} |
} |
} |
switch ( current_ff ) { |
switch ( current_ff ) { |
case FF_GFP: |
case FF_GFP: |
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MKNODE(n1,q,0); MKNODE(n0,p,n1); |
MKNODE(n1,q,0); MKNODE(n0,p,n1); |
MKLIST(list,n0); |
MKLIST(list,n0); |
*rp = (Obj)list; break; |
*rp = (Obj)list; break; |
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case FF_GFS: |
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STOQ(current_gfs_p,q); |
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if ( current_gfs_ext ) { |
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enc_to_p(current_gfs_p,current_gfs_iton[1], |
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VR(current_gfs_ext),&p); |
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n0 = mknode(3,q,current_gfs_ext,p); |
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} else { |
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STOQ(current_gfs_iton[1],r); |
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n0 = mknode(3,q,current_gfs_ext,r); |
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} |
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MKLIST(list,n0); |
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*rp = (Obj)list; break; |
default: |
default: |
*rp = 0; break; |
*rp = 0; break; |
} |
} |
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LM l; |
LM l; |
GF2N g; |
GF2N g; |
GFPN p; |
GFPN p; |
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GFS s; |
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switch ( current_ff ) { |
switch ( current_ff ) { |
case FF_GFP: |
case FF_GFP: |
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randomgf2n(&g); *rp = (Obj)g; break; |
randomgf2n(&g); *rp = (Obj)g; break; |
case FF_GFPN: |
case FF_GFPN: |
randomgfpn(&p); *rp = (Obj)p; break; |
randomgfpn(&p); *rp = (Obj)p; break; |
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case FF_GFS: |
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randomgfs(&s); *rp = (Obj)s; break; |
default: |
default: |
error("random_ff : current_ff is not set"); |
error("random_ff : current_ff is not set"); |
} |
} |
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DCP dc,dcr0,dcr; |
DCP dc,dcr0,dcr; |
GF2N rg,sg; |
GF2N rg,sg; |
GFPN rpn,spn; |
GFPN rpn,spn; |
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GFS rs; |
P t; |
P t; |
Obj obj; |
Obj obj; |
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case FF_GFPN: |
case FF_GFPN: |
ntogfpn((Obj)p,&rpn); simpgfpn((GFPN)rpn,&spn); *rp = (Obj)spn; |
ntogfpn((Obj)p,&rpn); simpgfpn((GFPN)rpn,&spn); *rp = (Obj)spn; |
break; |
break; |
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case FF_GFS: |
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ptomp(current_gfs_q,(P)p,&t); mqtogfs(t,&rs); |
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*rp = (Obj)rs; |
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break; |
default: |
default: |
*rp = (Obj)p; |
*rp = (Obj)p; |
break; |
break; |
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lmptop((P)ARG0(arg),rp); |
lmptop((P)ARG0(arg),rp); |
} |
} |
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void Psfptop(arg,rp) |
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NODE arg; |
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P *rp; |
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{ |
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sfptop((P)ARG0(arg),rp); |
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} |
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void Pptogf2n(arg,rp) |
void Pptogf2n(arg,rp) |
NODE arg; |
NODE arg; |
GF2N *rp; |
GF2N *rp; |
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UP p,r; |
UP p,r; |
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ptoup((P)ARG0(arg),&p); |
ptoup((P)ARG0(arg),&p); |
reverseup(p,p->d,&r); |
if ( argc(arg) == 1 ) |
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reverseup(p,p->d,&r); |
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else |
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reverseup(p,QTOS((Q)ARG1(arg)),&r); |
uptop(r,rp); |
uptop(r,rp); |
} |
} |
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ptoup((P)ARG1(arg),&f); |
ptoup((P)ARG1(arg),&f); |
tracemodup_gf2n(g,f,(Q)ARG2(arg),&r); |
tracemodup_gf2n(g,f,(Q)ARG2(arg),&r); |
uptop(r,rp); |
uptop(r,rp); |
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} |
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void Pumul_specialmod(arg,rp) |
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NODE arg; |
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P *rp; |
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{ |
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P a1,a2; |
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UP p1,p2,r; |
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int i,nmod; |
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int *modind; |
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NODE t,n; |
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a1 = (P)ARG0(arg); a2 = (P)ARG1(arg); |
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if ( !a1 || !a2 || NUM(a1) || NUM(a2) ) |
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mulp(CO,a1,a2,rp); |
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else { |
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if ( !uzpcheck(a1) || !uzpcheck(a2) || VR(a1) != VR(a2) ) |
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error("umul_specialmod : invalid argument"); |
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ptoup(a1,&p1); |
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ptoup(a2,&p2); |
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n = BDY((LIST)ARG2(arg)); |
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nmod = length(n); |
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modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int)); |
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for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) ) |
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modind[i] = QTOS((Q)BDY(t)); |
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fft_mulup_specialmod_main(p1,p2,0,modind,nmod,&r); |
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uptop(r,rp); |
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} |
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} |
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void Pusquare_specialmod(arg,rp) |
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NODE arg; |
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P *rp; |
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{ |
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P a1; |
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UP p1,r; |
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int i,nmod; |
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int *modind; |
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NODE t,n; |
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a1 = (P)ARG0(arg); |
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if ( !a1 || NUM(a1) ) |
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mulp(CO,a1,a1,rp); |
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else { |
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if ( !uzpcheck(a1) ) |
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error("usquare_specialmod : invalid argument"); |
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ptoup(a1,&p1); |
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n = BDY((LIST)ARG1(arg)); |
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nmod = length(n); |
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modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int)); |
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for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) ) |
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modind[i] = QTOS((Q)BDY(t)); |
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fft_mulup_specialmod_main(p1,p1,0,modind,nmod,&r); |
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uptop(r,rp); |
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} |
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} |
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void Putmul_specialmod(arg,rp) |
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NODE arg; |
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P *rp; |
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{ |
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P a1,a2; |
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UP p1,p2,r; |
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int i,nmod; |
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int *modind; |
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NODE t,n; |
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a1 = (P)ARG0(arg); a2 = (P)ARG1(arg); |
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if ( !a1 || !a2 || NUM(a1) || NUM(a2) ) |
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mulp(CO,a1,a2,rp); |
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else { |
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if ( !uzpcheck(a1) || !uzpcheck(a2) || VR(a1) != VR(a2) ) |
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error("utmul_specialmod : invalid argument"); |
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ptoup(a1,&p1); |
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ptoup(a2,&p2); |
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n = BDY((LIST)ARG3(arg)); |
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nmod = length(n); |
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modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int)); |
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for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) ) |
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modind[i] = QTOS((Q)BDY(t)); |
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fft_mulup_specialmod_main(p1,p2,QTOS((Q)ARG2(arg))+1,modind,nmod,&r); |
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uptop(r,rp); |
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} |
} |
} |