File: [local] / OpenXM_contrib2 / asir2000 / lib / cyclic (download)
Revision 1.3, Tue Aug 22 05:04:21 2000 UTC (24 years, 1 month ago) by noro
Branch: MAIN
CVS Tags: maekawa-ipv6, STABLE_1_1_3, RELEASE_1_1_3 Changes since 1.2: +2 -2
lines
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/*
* 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
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* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
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* $OpenXM: OpenXM_contrib2/asir2000/lib/cyclic,v 1.3 2000/08/22 05:04:21 noro Exp $
*/
def mkc(L,N)
{
if (L >= N) L -= N;
if (L >= 0)
return strtov("c"+rtostr(L));
return 0;
}
/* generate cyclic N-th roots systems */
def cyclic(N)
{
R = [];
for (L = 1; L <= N; L++) {
for (A = 0, I = 0; I <= N-1; I++) {
for (B = 1,J = I; J < L+I; J++) {
B *= mkc(J,N);
}
A += B;
}
A = ptozp(A);
if (L == N)
A += -1;
R = cons(A,R);
}
return R;
}
/* generate homogenized cyclic N-th roots systems */
def hcyclic(N)
{
R = [];
for (L = 1; L <= N; L++) {
for (A = 0, I = 0; I <= N-1; I++) {
for (B = 1,J = I; J < L+I; J++) {
B *= mkc(J,N);
}
A += B;
}
A = ptozp(A);
if (L == N)
A += -c^N;
R = cons(A,R);
}
return R;
}
def homo(X)
{
X=nm(red(subst(X,a,a/t,b,b/t,c,c/t)));
}
BJ6 = [a^2*b*c+a*b^2*c+a*b*c^2+a*b+b*c+c*a,a^2*b^2*c+a*b^2*c^2+b*c^2+c+a+a^2*b,
a^2*b^2*c^2+b^2*c^2+c^2+1+a^2+a^2*b^2]$
HBJ6 = [homo(BJ6[0]),homo(BJ6[1]),homo(BJ6[2])]$
BJ7 = [nm(red(a+b+c+1+1/c+1/b+1/a)),nm(red(a*b+b*c+c+1/c+1/(b*c)+1/(a*b)+1)),
nm(red(a*b*c+b*c+1+1/(b*c)+1/(a*b*c)+1/b+b))]$
HBJ7 = [homo(BJ7[0]),homo(BJ7[1]),homo(BJ7[2])]$
end$