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Revision 1.3, Sun Apr 20 05:51:23 2003 UTC (21 years, 1 month ago) by saito
Branch: MAIN
CVS Tags: R_1_3_1-2, RELEASE_1_3_1_13b, RELEASE_1_2_3_12, RELEASE_1_2_3, RELEASE_1_2_2_KNOPPIX_b, RELEASE_1_2_2_KNOPPIX, RELEASE_1_2_2, KNOPPIX_2006, HEAD, DEB_REL_1_2_3-9
Changes since 1.2: +3 -3 lines

add internal-jp.dvi
correct @JP to \JP

@comment $OpenXM: OpenXM/src/asir-doc/int-parts/operation.texi,v 1.3 2003/04/20 05:51:23 saito Exp $
\JP @chapter $B$=$NB>$N1i;;(B
\EG @chapter Other operations

\BJP
$B0J2<$N=t1i;;$K$*$$$F(B, $B:G8e$N0z?t$O(B, $B8F$S=P$7B&$K$h$C$F3NJ]$5$l$?(B, 
$B7k2L$N%]%$%s%?$r=q$/>l=j$r<($9%]%$%s%?$G$"$k(B.
\E
\BEG
\E

\JP @section $B=|;;(B
\EG @section Division

@example
#include "ca.h"

divsrp(vl,a,b,qp,rp)   *qp = a / b; *rp = a % b
VL vl;
P a,b,*qp,*rp;

premp(vl,a,b,rp)       *rp = lc(b)^(deg(a)-deg(b)+1)*a % b
VL vl;
P a,b,*rp;
@end example

@noindent
\BJP
$B0lHL$KB?JQ?tB?9`<0$KBP$7$F$O(B, $BI,$:$7$b=|;;$,<B9T$G$-$k$H$O8B$i$J$$(B. 
@code{divsrp()} $B$O(B, $B>&(B, $B>jM>$,B8:_$9$k$3$H$,J,$+$C$F$$$k>l9g$K$=$l$i$r5a(B
$B$a$kH!?t$G$"$k(B. $B$3$l$O(B, $BNc$($P=|?t$N<g78?t$,M-M}?t$G$"$k>l9g$J$I$KMQ$$$i(B
$B$l$k(B. $B0lHL$KB?9`<0>jM>$O5<>jM>$r7W;;$9$k$3$H$K$h$j5a$a$k(B. 
\E
\BEG
\E
@section GCD
@example
#include "ca.h"

ezgcdp(vl,a,b,rp)     *rp = gcd(pp(a),pp(b))
VL vl;
P a,b,*rp;

ezgcdpz(vl,a,b,rp)    *rp = gcd(a,b)
VL vl;
P a,b,*rp;

pcp(vl,a,pp,cp)       *pp = pp(a); *cp = cont(cp);
VL vl;
P a,*pp,*cp;
@end example
@noindent
\BJP
@code{pp(a)} $B$O(B @code{a} $B$N86;OE*ItJ,(B, @code{cont(a)} $B$OMFNL$r(B
$BI=$9(B. @code{ezgcdp()} $B$O@0?t0x;R$r=|$$$?(B gcd, @code{ezgcdpz()} $B$O@0?t0x(B
$B;R$r$3$a$?(B gcd $B$r7W;;$9$k(B. 
\E
\BEG
\E

\JP @section $BBeF~(B
\EG @section Substitution

@example
#include "ca.h"

substp(vl,a,v,b,rp)
VL vl;
P a,b,*rp;
V v;

substr(vl,a,v,b,rp)
VL vl;
R a,b,*rp;
V v;
@end example

\JP @section $BHyJ,(B
\EG @section Differentiation

@example
#include "ca.h"

diffp(vl,a,v,rp)
VL vl;
P a,*rp;
V v;

pderivr(vl,a,v,rp)
VL vl;
R a,*rp;
V v;
@end example
\BJP
@code{diffp()} $B$OB?9`<0(B @code{a} $B$r(B @code{v} $B$GJPHyJ,$9$k(B. 
@code{pderivr()} $B$OM-M}<0(B @code{a} $B$r(B @code{v} $B$GJPHyJ,$9$k(B. 
\E
\BEG
\E

\JP @section $B=*7k<0(B
\EG @section Resultants

@example
#include "ca.h"

resultp(vl,v,a,b,rp)
VL v;
P a,b,*rp;
@end example
\BJP
@code{resultp()} $B$OB?9`<0(B $a,b$ $B$N(B, @code{v} $B$K4X$9$k=*7k<0$r7W;;$9$k(B. 
\E
\BEG
\E

\JP @section $B0x?tJ,2r(B
\EG @section Polynomial factorization
@example
#include "ca.h"

fctrp(vl,a,dcp)
VL vl;
P a;
DCP *dcp;

sqfrp(vl,a,dcp)
VL vl;
P a;
DCP *dcp;
@end example
@noindent
\BJP
@code{fctrp()}, @code{sqfrp()} $B$OB?9`<0(B @code{a} $B$NM-M}?tBN>e$G$N(B
$B4{Ls0x;RJ,2r(B, $BL5J?J}0x;RJ,2r$r$=$l$>$l9T$&(B. 
$B0x?tJ,2r$N7k2L$O(B @code{[$B0x;R(B, $B=EJ#EY(B]} $B$N%j%9%H$H$7$FI=8=$G$-$k(B. $B$3$l$r(B
$B<!?t78?t%j%9%HMQ$N%G!<%?9=B$(B @code{DCP} $B$rN.MQ$7$FI=8=$9$k(B. $B$9$J$o$A(B, $B%a(B
$B%s%P(B @code{d} $B$K=EJ#EY(B, $B%a%s%P(B @code{c} $B$K0x;R$rBeF~$9$k(B. $BJ,2r$O(B, $B$^$:(B
$BF~NOB?9`<0(B @code{a} $B$r(B
@example
a = c * b   (c $B$OM-M}?t(B, b $B$O@0?t>e86;OE*$JB?9`<0(B)
@end example
@noindent
$B$HJ,2r$7$?8e(B, @code{b} $B$r<B:]$KJ,2r$9$k(B. $B7k2L$O(B, $B%j%9%H$N@hF,$K(B, 
@code{[c, 1]} $B$J$kDj?t9`(B, $B0J2<(B @code{b} $B$N0x;R$,B3$/(B. 
\E
\BEG
\E