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Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.32

1.32    ! noro        1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.31 2009/02/23 05:51:23 noro Exp $
1.1       takayama    2: \input texinfo
                      3: @iftex
                      4: @catcode`@#=6
                      5: @def@fref#1{@xrefX[#1,,@code{#1},,,]}
                      6: @def@b#1{{@bf@gt #1}}
                      7: @catcode`@#=@other
                      8: @end iftex
                      9: @overfullrule=0pt
                     10: @c -*-texinfo-*-
                     11: @comment %**start of header
                     12: @comment --- $B$*$^$8$J$$=*$j(B ---
                     13:
                     14: @comment --- GNU info $B%U%!%$%k$NL>A0(B ---
                     15: @setfilename xyzman
                     16:
                     17: @comment --- $B%?%$%H%k(B ---
                     18: @settitle $B<B83E*;EMM$N4X?t(B
                     19:
                     20: @comment %**end of header
                     21: @comment %@setchapternewpage odd
                     22:
                     23: @comment --- $B$*$^$8$J$$(B ---
                     24: @ifinfo
                     25: @macro fref{name}
                     26: @ref{\name\,,@code{\name\}}
                     27: @end macro
                     28: @end ifinfo
                     29:
                     30: @iftex
                     31: @comment @finalout
                     32: @end iftex
                     33:
                     34: @titlepage
                     35: @comment --- $B$*$^$8$J$$=*$j(B ---
                     36:
                     37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
                     38: @title $B<B83E*;EMM$N4X?t(B
                     39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
                     40: @subtitle 1.0 $BHG(B
1.25      takayama   41: @subtitle 2008 $BG/(B 1 $B7n(B
1.1       takayama   42:
1.16      ohara      43: @author  by Risa/Asir committers
1.1       takayama   44: @page
                     45: @vskip 0pt plus 1filll
                     46: Copyright @copyright{} Risa/Asir committers
                     47: 2004. All rights reserved.
                     48: @end titlepage
                     49:
                     50: @comment --- $B$*$^$8$J$$(B ---
                     51: @synindex vr fn
                     52: @comment --- $B$*$^$8$J$$=*$j(B ---
                     53:
                     54: @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
                     55: @comment --- @node  $B$N0z?t$O(B node-name,  next,  previous,  up ---
                     56: @node Top,, (dir), (dir)
                     57:
                     58: @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
                     59: @comment --- chapter $BL>$r@53N$KJB$Y$k(B ---
                     60: @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
                     61: @comment ---  Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
                     62: @menu
                     63: * Experimental Functions::
                     64: * Index::
                     65: @end menu
                     66:
                     67: @comment --- chapter $B$N3+;O(B ---
                     68: @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
                     69: @node $B<B83E*;EMM$N4X?t(B,,, Top
                     70: @chapter $B<B83E*;EMM$N4X?t(B
                     71:
                     72: @comment --- section $BL>$r@53N$KJB$Y$k(B.  ---
                     73: @menu
                     74: * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
                     75: * $B<B83E*;EMM$N4X?t(B::
                     76: @end menu
                     77:
                     78: @comment --- section ``XYZ$B$K$D$$$F(B'' $B$N3+;O(B ---  section XYZ$B$K$D$$$F$N?F$O(B chapter XYZ
                     79: @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, XYZ
                     80: @section $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
                     81:
                     82: @comment --- $B=qBN;XDj$K$D$$$F(B ---
                     83: @comment --- @code{} $B$O%?%$%W%i%$%?BNI=<((B ---
                     84: @comment --- @var{} $B$O<P;zBNI=<((B ---
                     85: @comment --- @b{} $B$O%\!<%k%II=<((B ---
                     86: @comment --- @samp{} $B$O%U%!%$%kL>$J$I$NI=<((B ---
                     87:
                     88: $B$3$N@bL@=q$G$O(B
                     89: @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
                     90: $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
                     91: $B$K0\F0$5$l$k(B.
                     92: ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
                     93: $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
                     94:
                     95: @comment --- section ``$B<B83E*4X?t(B'' $B$N3+;O(B ---
                     96: @node $B<B83E*;EMM$N4X?t(B,,, $B<B83E*;EMM$N4X?t(B
                     97: @section $B<B83E*;EMM$N4X?t(B
                     98:
                     99: @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
                    100: @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
                    101: @menu
1.2       takayama  102: * quotetotex::
                    103: * quotetotex_env::
                    104: * objtoquote::
1.3       takayama  105: * copyright::
1.2       takayama  106: * string_to_tb::
                    107: * tb_to_string::
                    108: * write_to_tb::
1.3       takayama  109: * dp_gr_main::
1.4       takayama  110: * asir-port.sh::
                    111: * asir-install.sh::
                    112: * get_struct_name::
                    113: * get_element_names::
                    114: * get_element_at::
                    115: * put_element_at::
1.6       takayama  116: * dp_initial_term::
                    117: * dp_order::
                    118: * dp_weyl_gr_main::
1.8       takayama  119: * list::
                    120: * mapat::
1.9       takayama  121: * set_print_function::
1.12      takayama  122: * small_jacobi::
1.13      takayama  123: * flatten_quote::
1.27      ohara     124: * printf::
1.28      ohara     125: * fprintf::
1.15      takayama  126: * sprintf::
                    127: * quote_to_funargs::
                    128: * funargs_to_quote::
1.19      takayama  129: * get_function_name::
1.15      takayama  130: * remove_paren::
1.17      takayama  131: * set_secure_mode::
                    132: * set_secure_flag::
1.22      takayama  133: * initialize_static_variable::
1.23      takayama  134: * eval_quote::
                    135: * nqt_match::
                    136: * nqt_match_rewrite::
                    137: * qt_normalize::
                    138: * qt_set_coef::
                    139: * qt_set_ord::
                    140: * qt_set_weight::
                    141: * nqt_comp::
                    142: * qt_is_var::
                    143: * qt_is_ceof::
                    144: * qt_rewrite::
1.24      takayama  145: * asirgui.hnd::
1.25      takayama  146: * noro_matrix.rr:
1.26      takayama  147: * f_res::
1.27      ohara     148: * chdir::
                    149: * pwd::
                    150: * dcurrenttime::
1.31      noro      151: * node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
                    152: * node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
1.27      ohara     153:
1.23      takayama  154:
1.1       takayama  155: @end menu
                    156:
1.3       takayama  157: @comment --- $B"~"~"~"~(B  $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1       takayama  158: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
                    159: @comment --- section $BL>$r@53N$K(B ---
1.2       takayama  160: @node quotetotex quotetotex_env,,, $B<B83E*;EMM$N4X?t(B
                    161: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1       takayama  162: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2       takayama  163: @findex quotetotex
                    164: @findex quotetotex_env
1.1       takayama  165:
                    166: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    167: @table @t
1.2       takayama  168: @item quotetotex(@var{q})
                    169: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
                    170: @item quotetotex_env(@var{key},@var{value})
                    171: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
                    172: @item quotetotex_env()
                    173: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
                    174: @item quotetotex_env(0)
                    175: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1       takayama  176: @end table
                    177:
                    178: @comment --- $B0z?t$N4JC1$J@bL@(B ---
                    179: @table @var
                    180: @item return
1.2       takayama  181: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
                    182: @item q
                    183: quote
                    184: @item key
                    185: $BJ8;zNs(B
                    186: @item value
                    187: $B%*%V%8%'%/%H(B
1.1       takayama  188: @end table
                    189:
                    190: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
                    191: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
                    192: @comment --- @bullet $B$O9uE@IU$-(B ---
                    193: @itemize @bullet
                    194: @item
1.2       takayama  195: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
                    196: @item
                    197: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
                    198: @item
                    199: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
                    200: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
                    201: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3       takayama  202: 2$B%S%C%HL\$O(B d $B$+$i;O$^$kJQ?tL>$rHyJ,:nMQAG$H$_$J$7$F=hM}$9$k$+(B,
1.2       takayama  203: $B$r0UL#$9$k(B.
                    204: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
                    205: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
                    206: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
                    207: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
                    208: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
                    209: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
                    210: $BFbB"$:$_(B.
                    211: @item
1.5       takayama  212:   dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
                    213:   @tex
                    214:   $x_0, x_1, \cdots$
                    215:   @end tex
                    216:   $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
                    217:   x $B$NItJ,$rJQ99$9$k(B.
                    218: @item
                    219:   dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
                    220:   $B%G%U%)!<%k%H$O(B 0.
1.1       takayama  221: @item
1.2       takayama  222: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3       takayama  223: latex $B7A<0$KJQ49$9$k(B.
1.2       takayama  224: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
                    225: @tex
                    226: $x_0, x_1, \cdots$
                    227: @end tex
                    228: $B$K(B
                    229: $B8eH>$NH>J,$r(B
                    230: @tex
                    231: $\partial_0, \partial_1, \cdots$
                    232: @end tex
                    233: $B$KJQ49$9$k(B.
                    234: $B4q?t8D$N>l9g$O:G8e$NJQ?t$,F1;~2=JQ?t$H$7$F(B h $B$GI=<($5$l$k(B.
1.5       takayama  235: @item
                    236:   dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
                    237:   $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
                    238: @item
                    239:   dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.2       takayama  240: @item
                    241: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
                    242: @item
                    243:
1.1       takayama  244: @end itemize
                    245:
                    246: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
                    247: @example
1.2       takayama  248: [3] quotetotex(quote(1/(x+1)));
                    249: \frac@{ 1@} @{ (  @{x@}+ 1)@}
                    250: [4]  quotetotex(objtoquote(diff(x^x,x)));
                    251:    @{x@}^@{  @{x@}- 1@}   @{x@}+  \log( @{x@})   @{x@}^@{ @{x@}@}
                    252: [5] quotetotex_env("conv_rule",3);
                    253: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
                    254:   @{\alpha@}_@{2,\beta@}^@{ 2@} +   2  @{x@}_@{i,j@}  @{\alpha@}_@{2,\beta@}+  @{x@}_@{i,j@}^@{ 2@}
1.1       takayama  255: @end example
                    256:
                    257: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
                    258: @table @t
                    259: @item $B;2>H(B
1.2       takayama  260: @ref{objtoquote}
1.3       takayama  261: print_tex_form(contrib)
1.1       takayama  262: @end table
                    263:
                    264: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    265: @noindent
                    266: ChangeLog
                    267: @itemize @bullet
1.5       takayama  268: @item
                    269:  $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
                    270:  knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
                    271:  Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
                    272:  $B=PNO7A<0$r2~A1$7$?(B.
                    273:  OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
                    274: @item
                    275:  OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
                    276:  noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
                    277: @item
                    278:  $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3       takayama  279:   builtin/strobj.c 1.14--1.43,
                    280:   include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
                    281:   parse/arith.c 1.12, parse/parse.h 1.28--1.29,
                    282:   parse/quote.c 1.7--1.8, 1.12.
                    283: @item
                    284:   knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1.5       takayama  285: @item
                    286:   dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
                    287: @item
                    288:   Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3       takayama  289: @end itemize
                    290:
                    291:
                    292:
                    293: @comment --- $B"~"~"~"~(B  $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
                    294: @node objtoquote,,, $B<B83E*;EMM$N4X?t(B
                    295: @subsection @code{objtoquote}
                    296: @findex objtoquote
                    297:
                    298: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    299: @table @t
                    300: @item objtoquote(@var{ob})
                    301: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
                    302: @end table
                    303:
                    304: @table @var
                    305: @item return
                    306: quote
                    307: @item ob
                    308: $B%*%V%8%'%/%H(B
                    309: @end table
                    310:
                    311: @itemize @bullet
                    312: @item
                    313: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
                    314: @end itemize
                    315:
                    316: @example
                    317: [1150] quotetolist(quote(1+2));
                    318: [b_op,+,[internal,1],[internal,2]]
                    319: [1151] quotetolist(objtoquote(1+x));
                    320: [b_op,+,[internal,x],[internal,1]]3
                    321: @end example
                    322:
                    323: @table @t
                    324: @item $B;2>H(B
                    325: @ref{quotetotex} @ref{quotetolist}
                    326: @end table
                    327:
                    328: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    329: @noindent
                    330: ChangeLog
                    331: @itemize @bullet
                    332: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
                    333: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
                    334: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
                    335: @end itemize
                    336:
                    337:
                    338: @comment --- $B"~"~"~"~(B  $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
                    339: @node copyright,,, $B<B83E*;EMM$N4X?t(B
                    340: @subsection @code{copyright}
                    341: @findex copyright
                    342:
                    343: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    344: @table @t
                    345: @item copyright()
                    346: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
                    347: @end table
                    348:
                    349: @table @var
                    350: @item return
                    351: $BJ8;zNs(B
                    352: @end table
                    353:
                    354: @itemize @bullet
                    355: @item
                    356: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
                    357: @end itemize
                    358:
                    359: @example
                    360: [1150] copyright();
                    361: This is Risa/Asir, Version 20040312 (Kobe Distribution).
                    362: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
                    363: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
                    364: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
                    365: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
                    366:    H. Cohen and M. Olivier.
                    367: @end example
                    368:
                    369: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    370: @noindent
                    371: ChangeLog
                    372: @itemize @bullet
                    373: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
                    374: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
                    375:       parse/glob.c 1.47.
                    376: @end itemize
                    377:
                    378:
                    379:
                    380: @comment --- $B"~"~"~"~(B  $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
                    381: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
                    382: @node string_to_tb tb_to_string write_to_tb,,, $B<B83E*;EMM$N4X?t(B
                    383: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
                    384: @findex string_to_tb
                    385: @findex tb_to_string
                    386: @findex write_to_tb
                    387:
                    388: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    389: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                    390: @table @t
                    391: @item string_to_tb(@var{s})
                    392: @itemx tb_to_string(@var{tb})
                    393: @itemx write_to_tb(@var{s},@var{tb})
                    394: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
                    395: @end table
                    396:
                    397: @table @var
                    398: @item return
                    399: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
                    400: @item s
                    401: $BJ8;zNs(B
                    402: @item tb
                    403: $BJ8;zNs2DJQD9G[Ns7?(B
                    404: @end table
                    405:
                    406: @itemize @bullet
                    407: @item
                    408: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
                    409: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
                    410: @item
                    411: @code{tb_to_string_(@var{tb})} $B$O(B,
                    412: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
                    413: @item
                    414: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
                    415: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
                    416: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
                    417: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
                    418: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
                    419: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
                    420: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
                    421: $B%G!<%?9=B$$G$"$k(B.
                    422: @end itemize
                    423:
                    424: @example
                    425: [219] T=string_to_tb("");
                    426:
                    427: [220] write_to_tb("Hello",T);
                    428: 0
                    429: [221] write_to_tb(" world!",T);
                    430: 0
                    431: [222] tb_to_string(T);
                    432: Hello world!
                    433: @end example
                    434:
                    435:
                    436: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    437: @noindent
                    438: ChangeLog
                    439: @itemize @bullet
1.5       takayama  440: @item
                    441:  $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
                    442: @item
                    443:  OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1.3       takayama  444: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
                    445: engine/str.c 1.5, parse/quote.c 1.9.
1.5       takayama  446: @item
                    447:  rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
                    448:  asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.3       takayama  449: @end itemize
                    450:
                    451:
                    452:
                    453: @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
                    454: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
                    455: @node dp_gr_main,,, $B<B83E*;EMM$N4X?t(B
                    456: @subsection @code{dp_gr_main}
                    457: @findex dp_gr_main
                    458:
                    459: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    460: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                    461: @table @t
                    462: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
                    463: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
                    464: @end table
                    465:
                    466: @table @var
                    467: @item return
                    468: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
                    469: @item f
                    470: $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
                    471: @item vv
                    472: $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
                    473: @item oo
                    474: $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
                    475: @item n
                    476: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
                    477: @item m
                    478: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
                    479: @item b
                    480: ???
                    481: @item sw
1.5       takayama  482: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.3       takayama  483: @end table
                    484:
                    485: @itemize @bullet
                    486: @item
                    487:  @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
                    488:  $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
                    489:  $B7OE}$@$C$F$$$J$+$C$?(B.
                    490:  dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
                    491: @comment  ~taka/this03/misc-2003/A2/dp
                    492: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B.  @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1.11      ohara     493: @example
1.3       takayama  494:   order         : '[' orderElement { ',' orderElement } ']'
1.5       takayama  495:   orderElement   :  weightVec | builtinOrder
1.3       takayama  496:   weightVec     : '[' weightElement { ',' weightElement } ']'
                    497:   builtiniOrder : '[' orderName  ',' setOfVariables ']'
                    498:   weightElement :   NUMBER | setOfVariables ',' NUMBER
                    499:   setOfVariables:  V | range(V,V)
1.11      ohara     500:   orderName    : @@grlex | @@glex | @@lex
                    501: @end example
1.3       takayama  502: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
                    503: $BNc(B1:  @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
                    504: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
                    505: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
                    506: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1.5       takayama  507: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
                    508: M.Saito, B.Sturmfels, N.Takayama:
                    509: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
                    510: @item
                    511:   $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
                    512:  (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
                    513:  (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
                    514:  (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
                    515:  $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
                    516:  $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
                    517:  $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
                    518:  $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1.3       takayama  519: @item
                    520:   order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
                    521: @item
                    522:   $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
                    523:   order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.5       takayama  524: @item
                    525:   $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
                    526:   $B2<$NNc$r;2>H(B.
1.3       takayama  527: @end itemize
                    528:
                    529: @example
                    530: [218] load("cyclic");
                    531: [219] V=vars(cyclic(4));
                    532: [c0,c1,c2,c3]
                    533: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
                    534: [ 10 1 0 0 ]
                    535: [ 0 0 5 0 ]
                    536: [ R R R R ]
                    537: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
                    538:  (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2,
                    539:  c0+c1+c2+c3]
                    540:
                    541: [1151]  F=map(dp_ptod,katsura(4), vars(katsura(4)));
                    542: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
                    543: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
                    544: [ 1 1 1 1 0 ]
                    545: [ R R R R R ]
                    546: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.5       takayama  547:
                    548: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
                    549: [[v,[x,y]],[order,[[x,5,y,1]]]]
                    550: [1154]  dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
                    551: [ 5 1 ]
                    552: [ R R ]
                    553: [-y^4+y^2-1,x+y^3-y]
1.3       takayama  554: @end example
                    555:
                    556: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    557: @noindent
                    558: ChangeLog
                    559: @itemize @bullet
                    560: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
                    561: @item
                    562:  @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
                    563: @item
                    564:   $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
                    565:   $B7OE}$@$C$F$$$J$+$C$?(B.
                    566:   dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
                    567: @item
                    568:   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
                    569: builtin/gr.c 1.56--1.57,
                    570: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
                    571: builtin/dp.c 1.46--1.48 (parse_gr_option),
                    572: engine/Fgfs.c 1.20,
                    573: engine/dist.c 1.27--1.28
                    574: engine/nd.c 1.89,
                    575: include/ca.h 1.42--1.43,
                    576: io/pexpr.c 1.28,
                    577: io/sexpr.c 1.26,
                    578: parse/arith.c 1.11,
                    579: parse/glob.c 1.44-1.45,
                    580: parse/lex.c 1.29,
                    581: parse/parse.h 1.23--1.26
1.5       takayama  582: @item
                    583:  Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
                    584:   attribute, ring $B9=B$BN(B.
1.1       takayama  585: @end itemize
                    586:
                    587: @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
                    588: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.3       takayama  589: @node asir-install.sh,,, $B<B83E*;EMM$N4X?t(B
                    590: @subsection @code{asir-port.sh}, @code{asir-install.sh}
                    591: @findex asir-port.sh
                    592: @findex asir-install.sh
1.1       takayama  593:
                    594: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    595: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                    596: @table @t
1.3       takayama  597: @item asir-install.sh
                    598: @itemx asir-port.sh
                    599: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
                    600: @end table
                    601:
                    602:
                    603: @itemize @bullet
                    604: @item
                    605: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1.10      ohara     606: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1.3       takayama  607:  ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
                    608: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
                    609: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
                    610: @item
                    611: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
                    612: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
                    613: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
                    614: @end itemize
                    615:
                    616:
                    617: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    618: @noindent
                    619: ChangeLog
                    620: @itemize @bullet
                    621: @item
                    622:  $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B.
                    623: @item
                    624:   knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
                    625: @item
                    626:   OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
                    627:   2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
                    628:   OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
                    629:   Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
                    630: @end itemize
                    631:
1.4       takayama  632:
                    633: @node get_struct_name,,, $B<B83E*;EMM$N4X?t(B
                    634: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
                    635: @findex get_struct_name
                    636: @findex get_element_names
                    637: @findex get_element_at
                    638: @findex put_element_at
                    639:
                    640: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    641: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                    642: @table @t
                    643: @item get_struct_name(@var{s})
                    644: @itemx get_element_names(@var{s})
                    645: @itemx get_element_at(@var{s},@var{key})
                    646: @itemx put_element_at(@var{s},@var{key},@var{obj})
                    647: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
                    648: @end table
                    649:
                    650: @table @var
                    651: @item return
                    652: $BJ8;zNs(B (get_struct_name),
                    653: $BJ8;zNs$N%j%9%H(B (get_element_names),
                    654: $B%*%V%8%'%/%H(B (get_element_at),
                    655: $B%*%V%8%'%/%H(B (put_element_at)
                    656: @item s
                    657: $B9=B$BN(B
                    658: @item key
                    659: $BJ8;zNs(B
                    660: @item obj
                    661: $B%*%V%8%'%/%H(B
                    662: @end table
                    663:
                    664: @itemize @bullet
                    665: @item
                    666:  @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
                    667: @item
                    668:  @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
                    669: @item
                    670:  @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
                    671: @item
                    672:  @code{put_element_at(s,key,obj)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$r(B obj $B$K@_Dj$9$k(B.
                    673: @end itemize
                    674:
                    675: @example
                    676: [219]  struct point { x, y, color};
                    677: [220]  P = newstruct(point);
                    678: {0,0,0}
                    679: [221]  P->x = 10$ P->y=5$ P->color="red"$
                    680: [222]  get_element_names(P);
                    681: [x,y,color]
                    682: [223] put_element_at(P,"color","blue");
                    683: blue
                    684: [224] P->color;
                    685: bule
                    686: @end example
                    687:
                    688: @table @t
                    689: @item $B;2>H(B
                    690: @ref{newstruct}, @ref{struct}
                    691: @end table
                    692:
                    693: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    694: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                    695: @noindent
                    696: ChangeLog
                    697: @itemize @bullet
                    698: @item  $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
                    699:        asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
                    700: @item  OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
                    701: @end itemize
                    702:
1.6       takayama  703: @comment --- $B"~"~"~"~(B  $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
                    704: @node dp_weyl_gr_main,,, $B<B83E*;EMM$N4X?t(B
                    705: @subsection @code{dp_weyl_gr_main}
                    706: @findex dp_weyl_gr_main
                    707:
                    708: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    709: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                    710: @table @t
                    711: @item dp_weyl_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
                    712: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.  dp_gr_main $B$HF1$87A<0$G$"$k(B.
                    713: @end table
                    714:
                    715: @table @var
                    716: @item return
                    717: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
                    718: @item f
                    719: $B%j%9%H(B  ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
                    720: @item vv
                    721: $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
                    722: @item oo
                    723: $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
                    724: @item n
                    725: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
                    726: @item m
                    727: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
                    728: @item b
                    729: ???
                    730: @item sw
                    731: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
                    732: @end table
                    733:
                    734: @itemize @bullet
                    735: @item
                    736:  @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
                    737:  $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B.   asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
                    738:  $B7OE}$@$C$F$$$J$+$C$?(B.
                    739:  dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
                    740:  $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
                    741: @item
                    742:  $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
                    743:  K[x_1, ..., x_n, d_1, ..., d_n]
                    744: $B$G7W;;$,$*$3$J$o$l$k(B. $B%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
                    745:  d_i x_i = x_i d_i +1 $B$r$_$?$7(B, x_i $B$H(B x_j $B$d(B d_i $B$H(B d_j $B$O2D49$G$"$k(B.
                    746:  $B$^$?(B i $B$H(B j $B$,0[$J$k>l9g$O(B x_i $B$H(B d_j $B$b2D49$G$"$k(B.
                    747: @item
                    748:  $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
                    749:  K[x_1, ..., x_n, d_1, ..., d_n, h]
                    750: $B$G7W;;$,$*$3$J$o$l$k(B. $BF1<!2=%o%$%kBe?t$G$O(B x_i $B$H(B d_i $B$OHs2D49$J3]$1;;5,B'(B
                    751:  d_i x_i = x_i d_i + h^2
                    752: $B$r$_$?$7(B, h $B$OG$0U$N85$H2D49(B, $B$=$NB>$NJQ?t$b%o%$%kBe?t$HF1MM$J2D49@-$N5,B'$r$_$?$9(B.
                    753:  $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
                    754: @end itemize
                    755:
                    756: @example
                    757: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]);  /* Command in asir-contrib*/
                    758: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
                    759: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1.7       takayama  760: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
                    761: ...
1.6       takayama  762: [1238] FF=map(dp_ptod,F[0],V);
                    763: [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,0,0,0,0]
                    764:
                    765: [1244] FF=map(dp_ptod,F[0],V);
                    766: [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,0,0,0,0,1,1,0>>+(-1)*<<0,0,0,0,1,0,0,1>>,(1)*<<0,0,0,0,1,0,2,0>>+(-1)*<<0,0,0,0,0,2,0,1>>,(-1)*<<0,0,0,0,0,3,0,0>>+(1)*<<0,0,0,0,2,0,1,0>>,(1)*<<0,0,0,0,0,0,3,0>>+(-1)*<<0,0,0,0,0,1,0,2>>]
                    767:
                    768: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
                    769:
1.7       takayama  770: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1.6       takayama  771: [ 0 0 0 0 1 1 1 1 ]
                    772: [ R R R R R R R R ]
1.7       takayama  773:  ...
1.6       takayama  774:
                    775: @end example
                    776:
                    777: @table @t
                    778: @item $B;2>H(B
                    779: @ref{dp_gr_main}
                    780: @end table
                    781:
                    782: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    783: @noindent
                    784: ChangeLog
                    785: @itemize @bullet
                    786: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
                    787: @item
                    788:   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
                    789: builtin/dp-supp.c 1.32--1.33
                    790: builtin/dp.c 1.49--1.50
                    791: @end itemize
                    792:
                    793: @comment --- $B"~"~"~"~(B  $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
                    794: @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B
                    795: @subsection @code{dp_initial_term}
                    796: @findex dp_initial_term
                    797:
                    798: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    799: @table @t
                    800: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
                    801: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
                    802: @end table
                    803:
                    804: @table @var
                    805: @item return
                    806: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
                    807: @item f
                    808: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
                    809: @item vv
                    810: $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
                    811: @item oo
                    812: $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
                    813: @end table
                    814:
                    815: @itemize @bullet
                    816: @item
                    817:  dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
                    818:  $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
                    819:  $B$H=q$+$l$F$$$k(B.
                    820: @item
                    821:  $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
                    822:  $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
                    823:  $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
                    824: @item
                    825:  $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
                    826: @end itemize
                    827:
                    828: @example
                    829: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
                    830: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
                    831: [1220] dp_initial_term(F | order=[[1,1,1]]);
                    832: [ 1 1 1 ]
                    833: [ R R R ]
                    834: (1)*<<2,0,0>>+(1)*<<1,1,0>>
                    835: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
                    836: [ 1 0 0 ]
                    837: [ R R R ]
                    838: (1)*<<2,0,0>>
                    839: @end example
                    840:
                    841: @table @t
                    842: @item $B;2>H(B
                    843: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
                    844: @end table
                    845:
                    846: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    847: @noindent
                    848: ChangeLog
                    849: @itemize @bullet
                    850: @item
                    851:   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
                    852: builtin/dp-supp.c 1.32
                    853: builtin/dp.c 1.49
                    854: @end itemize
                    855:
                    856: @comment --- $B"~"~"~"~(B  $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
                    857: @node dp_order,,, $B<B83E*;EMM$N4X?t(B
                    858: @subsection @code{dp_order}
                    859: @findex dp_order
                    860:
                    861: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                    862: @table @t
                    863: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
                    864: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
                    865: @end table
                    866:
                    867: @table @var
                    868: @item return
                    869: $B?t$+?t$N%j%9%H(B
                    870: @item f
                    871: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
                    872: @item vv
                    873: $B%j%9%H(B  ($BJQ?t$N%j%9%H(B)
                    874: @item oo
                    875: $B%j%9%H(B  ($B=g=x$r$"$i$o$9%j%9%H(B)
                    876: @end table
                    877:
                    878: @itemize @bullet
                    879: @item
                    880:  $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
                    881:  $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
                    882:  $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
                    883: @item
                    884:  dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
                    885:  $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
                    886:  $B$H=q$/O@J8$d652J=q$b$"$k(B.
                    887: @item
                    888:  $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
                    889: @end itemize
                    890:
                    891: @example
                    892: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
                    893: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
                    894: [1222] dp_order(F | order=[[1,1,1]]);
                    895: [ 1 1 1 ]
                    896: [ R R R ]
                    897: 2
                    898: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
                    899: [ 1 0 0 ]
                    900: [ R R R ]
                    901: @end example
                    902:
                    903: @table @t
                    904: @item $B;2>H(B
                    905: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
                    906: @end table
                    907:
                    908: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    909: @noindent
                    910: ChangeLog
                    911: @itemize @bullet
                    912: @item
                    913:   OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
                    914: builtin/dp-supp.c 1.32
                    915: builtin/dp.c 1.49
                    916: @end itemize
                    917:
1.8       takayama  918:
                    919: @comment  mapat
                    920: @node mapat,,, $B<B83E*;EMM$N4X?t(B
                    921: @subsection @code{mapat}
                    922: @findex mapat
                    923:
                    924: @table @t
                    925: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
                    926: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
                    927: @end table
                    928:
                    929: @table @var
                    930: @item return
                    931: $B%*%V%8%'%/%H(B
                    932: @item pos
                    933: $B@0?t(B
                    934: @item arg0, arg1, arg2, ...
                    935: $B%*%V%8%'%/%H(B
                    936: @end table
                    937:
                    938: @itemize @bullet
                    939: @item
                    940: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
                    941: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
                    942: @item
                    943: @code{mapat(fname,0,A0,A1,...)} $B$O(B
                    944: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
                    945: @item
                    946: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
                    947: @end itemize
                    948:
                    949: @example
                    950: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
                    951: [2,3]
1.10      ohara     952: [220] mapat(subst,1,x+y+z,[x,y,z],2);
                    953: [y+z+2,x+z+2,x+y+2]
1.8       takayama  954: @end example
                    955:
                    956: @table @t
                    957: @item $B;2>H(B
                    958: @ref{map}
                    959: @end table
                    960:
                    961: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                    962: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                    963: @noindent
                    964: ChangeLog
                    965: @itemize @bullet
                    966: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
                    967:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
                    968: @end itemize
                    969:
                    970: @comment  list
                    971: @node list,,, $B<B83E*;EMM$N4X?t(B
                    972: @subsection @code{list}
                    973: @findex list
                    974:
                    975: @table @t
                    976: @item list([@var{arg0}, @var{arg1}, ...])
                    977: :: list $B$r@8@.$9$k(B.
                    978: @end table
                    979:
                    980: @table @var
                    981: @item return
                    982: $B%j%9%H(B
                    983: @item arg0, arg1, arg2, ...
                    984: $B%*%V%8%'%/%H(B
                    985: @end table
                    986:
                    987: @itemize @bullet
                    988: @item
                    989: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
                    990: @end itemize
                    991:
                    992: @example
                    993: [219] list(1,2,3);
                    994: [1,2,3]
                    995: [220] list(1,2,[3,4]);
                    996: [1,2,[3,4]]
                    997: @end example
                    998:
                    999: @table @t
                   1000: @item $B;2>H(B
                   1001: @ref{cons}
                   1002: @end table
                   1003:
                   1004: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1005: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1006: @noindent
                   1007: ChangeLog
                   1008: @itemize @bullet
                   1009: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
                   1010:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
                   1011: @end itemize
                   1012:
1.9       takayama 1013:
                   1014: @node set_print_function,,, $B<B83E*;EMM$N4X?t(B
                   1015: @subsection @code{set_print_function}
                   1016: @findex set_print_function
                   1017:
                   1018: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1019: @table @t
                   1020: @item set_print_function([@var{fname}])
                   1021: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
                   1022: @end table
                   1023:
                   1024: @table @var
                   1025: @item return
                   1026: $B@0?t(B
                   1027: @item fname
                   1028: $BJ8;zNs(B
                   1029: @end table
                   1030:
                   1031: @itemize @bullet
                   1032: @item
                   1033: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
                   1034: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
                   1035: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
                   1036: @end itemize
                   1037:
                   1038: @example
                   1039: [219] def my_output(F) {
                   1040:            print("Out: ",0); print(rtostr(F));
                   1041:       }
                   1042: [220] set_print_function("my_output");
                   1043: Out: 0
                   1044: [221]  1+2;
                   1045: Out: 3
                   1046: @end example
                   1047:
                   1048: @table @t
                   1049: @item $B;2>H(B
                   1050: @ref{rtostr}
                   1051: @end table
                   1052:
                   1053: @noindent
                   1054: ChangeLog
                   1055: @itemize @bullet
                   1056: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
                   1057:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
                   1058: @end itemize
1.8       takayama 1059:
                   1060:
1.12      takayama 1061: @node small_jacobi,,, $B<B83E*;EMM$N4X?t(B
                   1062: @subsection @code{small_jacobi}
                   1063: @findex small_jacobi
                   1064:
                   1065: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1066: @table @t
                   1067: @item small_jacobi(@var{a},@var{m})
                   1068: :: Jacobi $B5-9f$N7W;;(B
                   1069: @end table
                   1070:
                   1071: @table @var
                   1072: @item return
                   1073: $B@0?t(B
                   1074: @item arg1, arg2
                   1075: $B@0?t(B
                   1076: @end table
                   1077:
                   1078: @itemize @bullet
                   1079: @item
                   1080:  @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
                   1081:  x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
                   1082: @item
                   1083: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
                   1084: @item
                   1085:  $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
                   1086: @end itemize
                   1087:
                   1088: @example
                   1089: [1286] small_jacobi(2,3);
                   1090: -1
                   1091: [1287] small_jacobi(2,7);
                   1092: 1
                   1093: @end example
                   1094:
                   1095: @table @t
                   1096: @item $B;2>H(B
                   1097: http://members.jcom.home.ne.jp/yokolabo/asirlib/
                   1098: $B$b8+$F$M(B.
                   1099: @end table
                   1100:
                   1101: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1102: @noindent
                   1103: ChangeLog
                   1104: @itemize @bullet
1.13      takayama 1105: @item $B$3$N4X?t$NM3Mh$OITL@(B.
                   1106: @end itemize
                   1107:
                   1108:
1.20      takayama 1109: @node flatten_quote,,, $B<B83E*;EMM$N4X?t(B
                   1110: @subsection @code{flatten_quote}
                   1111: @findex flatten_quote
1.13      takayama 1112:
                   1113: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1114: @table @t
1.20      takayama 1115: @item flatten_quote(@var{q},@var{op})
1.13      takayama 1116: :: quote $B$N3g8L$r$H$j$5$k(B.
                   1117: @end table
                   1118:
                   1119: @table @var
                   1120: @item return
                   1121: Quote
                   1122: @item q
                   1123: Quote
                   1124: @item op
                   1125: $B1i;;;R$rI=$9J8;zNs(B.
                   1126: @end table
                   1127:
                   1128: @itemize @bullet
                   1129: @item
                   1130: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
                   1131: ( quotetolist $B;2>H(B ).
                   1132: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
                   1133: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
                   1134: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
                   1135: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
                   1136: @item
                   1137:  $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
1.20      takayama 1138:  1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
                   1139:  $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
                   1140: @item  R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
                   1141:   + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
                   1142: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.13      takayama 1143: @end itemize
                   1144:
                   1145: @example
                   1146: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
                   1147: quote(1+2+3+4*(x+3))
                   1148: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
                   1149: quote(x*y*p*3-x*y*z)
                   1150: [1290] quotetolist(quote(1+2+3));
                   1151: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
                   1152: @end example
                   1153:
                   1154: @table @t
                   1155: @item $B;2>H(B
                   1156: @ref{quotetolist}, @ref{print_tex_form}(contrib)
                   1157: @end table
                   1158:
                   1159: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1160: @noindent
                   1161: ChangeLog
                   1162: @itemize @bullet
                   1163: @item
                   1164:  $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
                   1165:  quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
                   1166:  OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B
                   1167:  $B1~MQ(B.
                   1168: @item
                   1169:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
                   1170:  builtin/strobj.c 1.47,
1.14      takayama 1171:  parse/eval.c 1.35,
                   1172:  parse/parse.h 1.31,
                   1173:  parse/quote.c 1.14--1.16.
                   1174: @end itemize
                   1175:
                   1176: @node assoc,,, $B<B83E*;EMM$N4X?t(B
                   1177: @subsection @code{assoc}
                   1178: @findex assoc
                   1179:
                   1180: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1181: @table @t
                   1182: @item assoc(@var{a},@var{b})
                   1183: :: $BO"A[%j%9%H$r$D$/$k(B
                   1184: @end table
                   1185:
                   1186: @table @var
                   1187: @item return
                   1188: List
                   1189: @item a
                   1190: List
                   1191: @item b
                   1192: List
                   1193: @end table
                   1194:
                   1195: @itemize @bullet
                   1196: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
                   1197: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
                   1198: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
                   1199: @end itemize
                   1200:
                   1201: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
                   1202: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
                   1203: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
                   1204:
                   1205: @example
                   1206: [1192]  A=["dog","cat","snake"];
                   1207: [dog,cat,snake]
                   1208: [1193] B=[4,4,0];
                   1209: [4,4,0]
                   1210: [1194] assoc(A,B);
                   1211: [[dog,4],[cat,4],[snake,0]]
                   1212: @end example
                   1213:
                   1214: @table @t
                   1215: @item $B;2>H(B
                   1216: @ref{cons}, @ref{append}
                   1217: @end table
                   1218:
                   1219: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1220: @noindent
                   1221: ChangeLog
                   1222: @itemize @bullet
                   1223: @item
                   1224:  $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
                   1225:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
                   1226:  builtin/list.c 1.9
1.13      takayama 1227:  parse/eval.c 1.35,
                   1228:  parse/parse.h 1.31,
                   1229:  parse/quote.c 1.14--1.16.
1.12      takayama 1230: @end itemize
1.13      takayama 1231:
1.15      takayama 1232:
                   1233: @node sprintf,,, $B<B83E*;EMM$N4X?t(B
1.28      ohara    1234: @subsection @code{printf}, @code{fprintf}, @code{sprintf}
1.15      takayama 1235: @findex sprintf
                   1236:
                   1237: @table @t
1.27      ohara    1238: @item printf(@var{format}[,@var{args}])
1.28      ohara    1239: @item fprintf(@var{fd},@var{format}[,@var{args}])
1.15      takayama 1240: @item sprintf(@var{format}[,@var{args}])
                   1241: :: C $B$K;w$?%W%j%s%H4X?t(B
                   1242: @end table
                   1243:
                   1244: @table @var
                   1245: @item return
1.28      ohara    1246: $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
1.15      takayama 1247: @item format
                   1248: $BJ8;zNs(B
1.28      ohara    1249: @item fd
                   1250: $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
1.15      takayama 1251: @item args
                   1252: $B%*%V%8%'%/%H(B
                   1253: @end table
                   1254:
                   1255: @itemize @bullet
                   1256: @item
1.27      ohara    1257: @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
1.15      takayama 1258: @item
1.28      ohara    1259: @code{fprintf} $B$O7k2L$r(B, $B%U%!%$%k5-=R;R(B @var{fd} $B$N;X$9%U%!%$%k$K=q$-=P$9(B.
                   1260: @item
1.27      ohara    1261: @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
                   1262: @item
                   1263: $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
                   1264: @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1.28      ohara    1265: @item
                   1266: $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
1.15      takayama 1267: @end itemize
                   1268:
                   1269: @example
1.27      ohara    1270: [0] printf("%a: rat = %a\n",10,x^2-1)$
                   1271: 10: rat = x^2-1
                   1272: [1] S=sprintf("%a: rat = %a",20,x^2-1)$
                   1273: [2] S;
                   1274: 20: rat = x^2-1
1.28      ohara    1275: [3] Fd=open_file("hoge.txt","w");
                   1276: 0
                   1277: [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
                   1278: [5] close_file(Fd)$
                   1279: [6] quit;
                   1280:
                   1281: $ cat hoge.txt
                   1282: Poly=x^3-3*x^2+3*x-1
1.15      takayama 1283: @end example
                   1284:
                   1285: @table @t
                   1286: @item $B;2>H(B
1.28      ohara    1287: @ref{rtostr},@ref{open_file},@ref{close_file}
1.15      takayama 1288: @end table
                   1289:
                   1290: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1291: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1292: @noindent
                   1293: ChangeLog
                   1294: @itemize @bullet
                   1295: @item
1.27      ohara    1296:  $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1.15      takayama 1297:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
                   1298: @item
1.27      ohara    1299:  $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
                   1300:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
                   1301: @item
1.28      ohara    1302:  $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
                   1303:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
                   1304: @item
1.15      takayama 1305:  @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
                   1306: @end itemize
                   1307:
                   1308:
                   1309: @node quote_to_funargs,,, $B<B83E*;EMM$N4X?t(B
                   1310: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
                   1311: @findex quote_to_funargs
                   1312: @findex funargs_to_quote
                   1313: @findex remove_paren
                   1314:
                   1315: @table @t
                   1316: @item quote_to_funargs(@var{q})
                   1317: ::  quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
                   1318: @item funargs_to_quote(@var{f})
                   1319: ::  funarg $B7A<0$r(B quote $B$X(B.
1.19      takayama 1320: @item get_function_name(@var{f})
                   1321: ::  funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
1.15      takayama 1322: @item remove_paren(@var{q})
                   1323: ::  $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
                   1324: @end table
                   1325:
                   1326: @table @var
                   1327: @item return
                   1328: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
                   1329: @item q
                   1330: quote
                   1331: @item f
                   1332: $B%j%9%H(B
                   1333: @end table
                   1334:
                   1335: @itemize @bullet
                   1336: @item
                   1337:  @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
                   1338: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
                   1339: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
                   1340: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
                   1341: @item
1.19      takayama 1342:  @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
                   1343: $B$J$k7A<0$r$7$F$$$k(B.
                   1344: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
                   1345: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
                   1346: $B$G<h$j$@$;$k(B.
                   1347: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
                   1348: $B$O(B "+" $B$rLa$9(B.
                   1349: @item
                   1350:  $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.15      takayama 1351: @item
                   1352:  $B2<$NNc$G(B
                   1353:  quote_to_funargs(FA[2]);
                   1354: [34,[b_op,+,[internal,x],[internal,1]]]
1.19      takayama 1355: $B$H$J$k(B.
                   1356: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
                   1357: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
                   1358: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
                   1359: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
                   1360:         I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
                   1361:         I_PRESELF, I_POSTSELF,
                   1362:         I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
                   1363:         I_ANS, I_PVAR, I_ASSPVAR,
                   1364:         I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
                   1365:         I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
                   1366:         I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
                   1367:         I_NARYOP
1.15      takayama 1368: @end itemize
                   1369:
                   1370: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
                   1371: @example
                   1372: [0] ctrl("print_quote",1) $
                   1373:
                   1374: [1] Q=quote((x+1)+(x+2));
                   1375: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
                   1376:         [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
                   1377:
                   1378: [2] FA=quote_to_funargs(Q);
                   1379: [0,<...quoted...>,
                   1380:   [u_op,(),[b_op,+,[internal,x],[internal,1]]],
                   1381:   [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
                   1382:
                   1383: [3] FA2=quote_to_funargs(FA[2])[1];
                   1384: [b_op,+,[internal,x],[internal,1]]
                   1385:
                   1386: [4] FA3=quote_to_funargs(FA[3])[1];
                   1387: [b_op,+,[internal,x],[internal,2]]
                   1388:
                   1389: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
                   1390: [b_op,+,[b_op,+,[internal,x],[internal,1]],
                   1391:         [b_op,+,[internal,x],[internal,2]]]
                   1392: @end example
                   1393:
                   1394: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
                   1395: @example
                   1396: [1287] load("noro_simplify.rr");
                   1397: 1
                   1398: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
                   1399: quote(f(1-x))
                   1400: @end example
                   1401:
1.19      takayama 1402: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
                   1403: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
                   1404: @example
                   1405: [1184] R=quote_to_funargs(quote(a+(b+c)));
                   1406: [0,<...quoted...>,<...quoted...>,<...quoted...>]
                   1407: [1185] T=quote_to_funargs(quote(1+2));
                   1408: [0,<...quoted...>,<...quoted...>,<...quoted...>]
                   1409: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
                   1410: quote(a+1)
                   1411: @end example
                   1412:
1.15      takayama 1413: @table @t
                   1414: @item $B;2>H(B
                   1415: @ref{quotetolist}
                   1416: @end table
                   1417:
1.17      takayama 1418:
1.15      takayama 1419: @noindent
                   1420: ChangeLog
                   1421: @itemize @bullet
                   1422: @item
                   1423:  $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
                   1424:  $B$N<B83E*4X?t$G$"$k(B.
                   1425:  $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
                   1426: @item
                   1427:  $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
                   1428: @item
                   1429:  2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
                   1430: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
1.19      takayama 1431: @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
                   1432: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.17      takayama 1433: @end itemize
                   1434:
                   1435: @node set_secure_flag,,, $B<B83E*;EMM$N4X?t(B
                   1436: @subsection @code{set_secure_flag}, @code{set_secure_mode}
                   1437: @findex set_secure_flag
                   1438: @findex set_secure_mode
                   1439:
                   1440: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1441: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1442: @table @t
                   1443: @item set_secure_flag(@var{fname},@var{m})
                   1444: @itemx set_secure_mode(@var{m})
                   1445: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B.  (web $B%5!<%S%9MQ(B)
                   1446: @end table
                   1447:
                   1448: @table @var
                   1449: @item return
                   1450: $B@0?t(B
                   1451: @item fname
                   1452: $BJ8;zNs(B
                   1453: @item m
                   1454: $B@0?t(B
                   1455: @end table
                   1456:
                   1457: @itemize @bullet
1.18      takayama 1458: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
                   1459: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
                   1460: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
1.17      takayama 1461: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
                   1462: $B4X?t$7$+<B9T$G$-$J$$(B.
1.18      takayama 1463: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
1.17      takayama 1464: $BG$0U$N4X?t$r<B9T$G$-$k(B.
                   1465: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
                   1466: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
                   1467: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
                   1468: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
                   1469: @item
                   1470: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
                   1471: $B$K$9$k(B.
1.18      takayama 1472: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
1.17      takayama 1473: @item
                   1474: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
                   1475: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
                   1476: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
1.18      takayama 1477: @item  @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
                   1478: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
                   1479: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.17      takayama 1480: @end itemize
                   1481:
                   1482: @example
                   1483: [1194] set_secure_flag("print_input_form_",1);
                   1484: 1
                   1485: [1195] set_secure_flag("fctr",1);
                   1486: 1
                   1487: [220] set_secure_mode(1);
                   1488: 1
                   1489: [1197] fctr((x-1)^3);
                   1490: [[1,1],[x-1,3]]
                   1491: [1198] fctr(shell("ls"));
                   1492: evalf : shell not permitted
                   1493: return to toplevel
                   1494: @end example
                   1495:
                   1496: @table @t
                   1497: @item $B;2>H(B
                   1498: @ref{timer}
                   1499: @end table
                   1500:
                   1501: @noindent
                   1502: ChangeLog
                   1503: @itemize @bullet
1.18      takayama 1504: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
                   1505: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
                   1506: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
                   1507: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
                   1508: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
                   1509: $B4X?t$7$+<B9T$G$-$J$$(B.
                   1510: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
                   1511: $BG$0U$N4X?t$r<B9T$G$-$k(B.
1.17      takayama 1512: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
                   1513: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
                   1514: $BMxMQ$9$k(B.
                   1515: cgi-asir.sh $B$G$O(B
                   1516: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
                   1517: @item
                   1518:   1.24--1.25      OpenXM_contrib2/asir2000/builtin/miscf.c
                   1519: @item
                   1520:   1.36--1.38      OpenXM_contrib2/asir2000/parse/eval.c
                   1521: @item
                   1522:   1.6--1.7       OpenXM_contrib2/asir2000/parse/function.c
                   1523: @item
                   1524:   1.33      OpenXM_contrib2/asir2000/parse/parse.h
1.15      takayama 1525: @end itemize
1.21      takayama 1526:
1.22      takayama 1527: @node initialize_static_variable,,, $B<B83E*;EMM$N4X?t(B
                   1528: @subsection @code{initialize_static_variable}
                   1529: @findex initialize_static_variable
1.21      takayama 1530:
                   1531:
                   1532: @comment --- $B@bL@(B ---
                   1533: @table @t
1.22      takayama 1534: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.21      takayama 1535: @end table
                   1536:
                   1537:
                   1538: @itemize @bullet
                   1539: @item static $BJQ?t$N<h07(B.
                   1540: $B2<$NNc$r;2>H$N$3$H(B.
                   1541: @end itemize
                   1542:
                   1543:
                   1544: @example
                   1545: if (1) @{
                   1546:  module abc;
                   1547:  static A;
                   1548:  A=1;
                   1549:  endmodule;
                   1550: @} else @{ @};
                   1551:
                   1552: end$
                   1553: $B$r(B t.rr $B$H$9$k$H$-(B,
                   1554:
                   1555: [6] load("./t.rr");
                   1556: 1
                   1557: internal error (SEGV)
                   1558: $B$H$J$k(B.
                   1559:
                   1560: t.rr $B$r(B
                   1561: if (1) @{
                   1562:  module abc;
                   1563:  static A;
                   1564:  localf initA;
                   1565:  localf foo;
                   1566:  def initA() @{
                   1567:    A=1;
                   1568:  @}
                   1569:  initA();
                   1570:  def foo() @{
                   1571:    return A;
                   1572:  @}
                   1573:  endmodule;
                   1574: @} else @{ @};
                   1575:
                   1576: end$
                   1577: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
                   1578: @end example
                   1579:
                   1580: @comment --- ChangeLog
                   1581: @noindent
                   1582: ChangeLog
                   1583: @itemize @bullet
                   1584: @item  oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B.  2005.07.25.
1.22      takayama 1585: @item  oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
1.21      takayama 1586: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
                   1587: @end itemize
                   1588:
1.23      takayama 1589: @node eval_quote,,, $B<B83E*;EMM$N4X?t(B
                   1590: @subsection @code{eval_quote}
                   1591: @findex eval_quote
                   1592:
                   1593: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1594: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1595: @table @t
                   1596: @item eval_quote(@var{Q});
                   1597: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
                   1598: @end table
                   1599:
                   1600: @table @var
                   1601: @item return
                   1602: $B%*%V%8%'%/%H(B
                   1603: @item Q
                   1604: quote$B7?(B
                   1605: @end table
                   1606:
                   1607: @itemize @bullet
                   1608: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
                   1609: @item $B5U4X?t$O(B @code{objtoquote}
                   1610: @end itemize
                   1611:
                   1612: @example
                   1613: ctrl("print_quote",2);
                   1614: A=quote((x-1)^2+(x-1)+3);
                   1615:      $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
                   1616: eval_quote(A);
                   1617:      $B=PNO(B: x^2-x+3
                   1618: print_input_form(A);     /* asir-contrib */
                   1619:      $B=PNO(B: quote((x-1)^2+(x-1)+3)
                   1620: @end example
                   1621:
                   1622: @table @t
                   1623: @item $B;2>H(B
                   1624: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
                   1625: @ref{quote_to_funargs}, @ref{funargs_to_quote}
                   1626: @end table
                   1627:
                   1628: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1629: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1630: @noindent
                   1631: ChangeLog
                   1632: @itemize @bullet
                   1633: @item  -----$B$^$@=q$$$F$J$$(B.
                   1634: @end itemize
                   1635:
                   1636:
                   1637: @node nqt_match,,, $B<B83E*;EMM$N4X?t(B
                   1638: @subsection @code{nqt_match}
                   1639: @findex nqt_match
                   1640:
                   1641: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1642: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1643: @table @t
                   1644: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
                   1645: :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
                   1646: @end table
                   1647:
                   1648: @table @var
                   1649: @item return
                   1650: $B@0?t(B
                   1651: @item Expr
                   1652: quote$B7?(B
                   1653: @item Pattern
                   1654: quote$B7?(B
                   1655: @item Mode
                   1656: $B@0?t(B
                   1657: @end table
                   1658:
                   1659: @itemize @bullet
                   1660: @item  @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
                   1661: @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
                   1662: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B.  fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
                   1663: @item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B
                   1664: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
                   1665: @end itemize
                   1666:
                   1667: @example
                   1668: ctrl("print_quote",2);
                   1669: A=quote((x-y)*(x+y));
                   1670: nqt_match(A,quote(P*Q));
                   1671: [P,Q]
                   1672:     $B=PNO(B:  [x-y, x+y]
                   1673: nqt_match(A,quote(P*Q),1);
                   1674:     $B%^%C%A$7$J$$(B.
                   1675: nqt_match(A,quote(P*Q),2);
                   1676:     $B%^%C%A$7$J$$(B.
                   1677: qt_normalize(A,1);
                   1678:     $B=PNO(B:  ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
                   1679: qt_normalize(A,2);
                   1680:     $B=PNO(B:  ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
                   1681: @end example
                   1682:
                   1683: @table @t
                   1684: @item $B;2>H(B
                   1685: @ref{nqt_match_rewrite},
                   1686: @ref{qt_rewrite}
                   1687: @end table
                   1688:
                   1689: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1690: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1691: @noindent
                   1692: ChangeLog
                   1693: @itemize @bullet
                   1694: @item  ----- $B$^$@=q$$$F$J$$(B.
                   1695: @end itemize
                   1696:
                   1697:
                   1698: @node nqt_match_rewrite,,, $B<B83E*;EMM$N4X?t(B
                   1699: @subsection @code{nqt_match_rewrite}
                   1700: @findex nqt_match_rewrite
                   1701:
                   1702: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1703: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1704: @table @t
                   1705: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
                   1706: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
                   1707: @end table
                   1708:
                   1709: @table @var
                   1710: @item return
                   1711: quote$B7?(B
                   1712: @item Expr
                   1713: quote$B7?(B
                   1714: @item Rule
                   1715: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
                   1716: [@var{Pattern},@var{Condition},@var{Action}].
                   1717: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
                   1718: @item Mode
                   1719: $B@0?t(B
                   1720: @end table
                   1721:
                   1722: @itemize @bullet
                   1723: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
                   1724: @var{Exprt} $B<+BN$rLa$9(B.
                   1725: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B.  fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
                   1726: @end itemize
                   1727:
                   1728: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
                   1729: @example
                   1730: ctrl("print_quote",2);
                   1731: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
                   1732:    $B=PNO(B: (x)+((y)*(z))
                   1733: A=`x*x;
                   1734: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
                   1735:    $B=PNO(B: x^2   ($B%^%C%A$7$F$$$J$$(B)
                   1736: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
                   1737:    $B=PNO(B: 2*x
                   1738:
                   1739: $BE,9g$K$D$$$F$N%b!<%I$N0c$$$rM}2r$9$k$?$a$K<!$NNc$*$h$S(B fnode$BI8=`7A(B(qt_normalize) $B$r;2>H(B.
                   1740: quotetolist(qt_normalize(`x*x,0));
                   1741:     $B=PNO(B:  [b_op,^,[internal,x],[internal,2]]
                   1742: quotetolist(qt_normalize(`x*x,1));
                   1743:     $B=PNO(B:  [b_op,^,[internal,x],[internal,2]]
                   1744: quotetolist(qt_normalize(`x*x,2));
                   1745:     $B=PNO(B:  [n_op,*,[internal,x],[internal,x]]
                   1746: @end example
                   1747:
                   1748: @table @t
                   1749: @item $B;2>H(B
                   1750: @ref{nqt_match},
                   1751: @ref{qt_rewrite},
                   1752: @ref{qt_normalize}
                   1753: @end table
                   1754:
                   1755: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1756: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1757: @noindent
                   1758: ChangeLog
                   1759: @itemize @bullet
                   1760: @item   -----$B$^$@=q$$$F$J$$(B.
                   1761: @end itemize
                   1762:
                   1763:
                   1764:
                   1765: @node qt_normalize,,, $B<B83E*;EMM$N4X?t(B
                   1766: @subsection @code{qt_normalize}
                   1767: @findex qt_normalize
                   1768:
                   1769: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1770: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1771: @table @t
                   1772: @item qt_normalize(@var{Expr}[,@var{Mode}])
                   1773: :: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
                   1774: @end table
                   1775:
                   1776: @table @var
                   1777: @item return
                   1778: quote$B7?(B
                   1779: @item Expr
                   1780: quote$B7?(B
                   1781: @item Mode
                   1782: $B@0?t(B
                   1783: @end table
                   1784:
                   1785: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
                   1786: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
                   1787: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
                   1788: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
                   1789:
                   1790: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
                   1791: fnode $B$NI8=`7A$r(B fn $B$H=q$/$H$-(B, $BI8=`7A$N(B BNF$BIwI=8=$G$NDj5A$O0J2<$N$H$*$j(B.
                   1792: @example
                   1793:  fn           = formula | functor(nf [,...]) | sum_of_monom
                   1794:      fnode $B$NI8=`7A(B.  functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
                   1795:  sum_of_monom = monom [+ ...]
                   1796:      $B%b%N%_%"%k$NOB(B
                   1797:  monom        = [formula *] nfpow [* ...]
                   1798:      $B%b%N%_%"%k(B
                   1799:  nfpow        = nf | nf^(nf)
                   1800:      $BQQ>hItJ,$NI8=`7A(B
                   1801:  formula      = Risa object
                   1802: @end example
                   1803:
                   1804:
                   1805: @itemize @bullet
                   1806: @item  @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
                   1807: @item $BE83+$O:F5"E*$G$"$k(B.
                   1808: @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
                   1809: (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
                   1810: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
                   1811: @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$k$3$H$K$h$j(B, $B%Q%?!<%s%^%C%AMQ$N%Q%?!<%s$N?t$r8:$i$;$k$3$H$,7P83E*$K$o$+$C$F$$$k(B.
                   1812: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
                   1813: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
                   1814: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
                   1815: @end itemize
                   1816:
                   1817: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
                   1818: @comment %%cfep/tests/2006-03-12-qt.rr
                   1819: @example
                   1820: ctrl("print_quote",2);
                   1821: A=quote((x-y)*(x+y));
                   1822:    $B=PNO(B:  ((x)-(y))*((x)+(y))
                   1823: B=qt_normalize(A,0);
                   1824:    $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y))  Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
                   1825: quotetolist(B);
                   1826:    $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
                   1827:
                   1828: B=qt_normalize(A,1);
                   1829:    $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
                   1830:            Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
                   1831: quotetolist(B);
                   1832:    $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
                   1833:
                   1834: qt_normalize(A,2);
                   1835:    $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
                   1836:            Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
                   1837: quotetolist(B);
                   1838:    $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
                   1839:
                   1840: qt_normalize(`x^2,2);
                   1841:    $B=PNO(B: (x)*(x)
                   1842:        Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
                   1843: @end example
                   1844:
                   1845: @table @t
                   1846: @item $B;2>H(B
                   1847: @ref{nqt_match},
                   1848: @ref{nqt_match_rewrite},
                   1849: @ref{quotetolist},
                   1850: @ref{quote_to_funargs}
                   1851: @end table
                   1852:
                   1853: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1854: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1855: @noindent
                   1856: ChangeLog
                   1857: @itemize @bullet
                   1858: @item
                   1859: @end itemize
                   1860:
                   1861:
                   1862: @node qt_set_coef,,, $B<B83E*;EMM$N4X?t(B
                   1863: @subsection @code{qt_set_coef}
                   1864: @findex qt_set_coef
                   1865:
                   1866: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1867: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1868: @table @t
                   1869: @item qt_set_coef(@var{ParamList})
                   1870: :: $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
                   1871: $BHs2D49B?9`<0$r07$&(B.
                   1872: @end table
                   1873:
                   1874: @table @var
                   1875: @item return
                   1876: $B%j%9%H(B
                   1877: @item  ParamList
                   1878: $B%j%9%H(B
                   1879: @end table
                   1880:
                   1881: @itemize @bullet
                   1882: @item $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
                   1883: $BHs2D49B?9`<0$r07$&(B.
                   1884: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
                   1885: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
                   1886: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
                   1887: @end itemize
                   1888:
                   1889: @example
                   1890: ctrl("print_quote",2);
                   1891: qt_set_coef([a]);
                   1892: B=qt_normalize(quote((a*x+a)^2),2);
                   1893:      $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
                   1894: qt_normalize(B+B,2);
                   1895:      $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
                   1896: @end example
                   1897:
                   1898: @table @t
                   1899: @item $B;2>H(B
                   1900: @ref{qt_normalize}
                   1901: @end table
                   1902:
                   1903: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1904: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1905: @noindent
                   1906: ChangeLog
                   1907: @itemize @bullet
                   1908: @item -----$B$^$@=q$$$F$J$$(B.
                   1909: @end itemize
                   1910:
                   1911:
                   1912: @node qt_set_ord,,, $B<B83E*;EMM$N4X?t(B
                   1913: @subsection @code{qt_set_ord}
                   1914: @findex qt_set_ord
                   1915:
                   1916: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1917: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1918: @table @t
                   1919: @item qt_set_ord(@var{VarList})
                   1920: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
                   1921: @end table
                   1922:
                   1923: @table @var
                   1924: @item return
                   1925: $B%j%9%H(B
                   1926: @item VarList
                   1927: $B%j%9%H(B
                   1928: @end table
                   1929:
                   1930: @itemize @bullet
                   1931: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
                   1932: @item $B$3$N@k8@$r$7$J$$$H$"$kITDj85$K$D$$$F$N4{Dj$N<-=q<0=g=x(B-----$B$^$@=q$$$F$J$$(B---$B$rMQ$$$F9`$rHf3S$9$k(B.
                   1933: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
                   1934: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
                   1935: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
                   1936: @end itemize
                   1937:
                   1938: @example
                   1939: ctrl("print_quote",2);
                   1940: qt_normalize(quote(x+y),2);
                   1941:      $B=PNO(B: (x)+(y)
                   1942: qt_set_ord([y,x]);
                   1943:      $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
                   1944: qt_normalize(quote(x+y),2);
                   1945:      $B=PNO(B: (y)+(x)
                   1946: @end example
                   1947:
                   1948: @table @t
                   1949: @item $B;2>H(B
                   1950: @ref{qt_normalize},
                   1951: @ref{nqt_comp}
                   1952: @end table
                   1953:
                   1954: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   1955: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   1956: @noindent
                   1957: ChangeLog
                   1958: @itemize @bullet
                   1959: @item -----$B$^$@=q$$$F$J$$(B.
                   1960: @end itemize
                   1961:
                   1962:
                   1963: @node qt_set_weight,,, $B<B83E*;EMM$N4X?t(B
                   1964: @subsection @code{qt_set_weight}
                   1965: @findex qt_set_weight
                   1966:
                   1967: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   1968: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   1969: @table @t
                   1970: @item qt_set_weight(@var{WeightVector})
                   1971: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
                   1972: @end table
                   1973:
                   1974: @table @var
                   1975: @item return
                   1976: $B%j%9%H(B
                   1977: @item WeightVector
                   1978: $B%j%9%H(B
                   1979: @end table
                   1980:
                   1981: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
                   1982: @example
                   1983:  f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
                   1984:  $B$D$$$F$O$=$NCM(B.
                   1985:
                   1986:  f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
                   1987:    w(f+g) = max(w(f),w(g))
                   1988:    w(f g) = w(f) + w(g)
                   1989:    w(f^n) = n w(f)
                   1990:    $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
                   1991: @end example
                   1992:
                   1993: @itemize @bullet
                   1994: @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
                   1995: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
                   1996: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
                   1997: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
                   1998: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
                   1999: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
                   2000: @end itemize
                   2001:
                   2002: @example
                   2003: ctrl("print_quote",2);
                   2004: qt_set_weight([[x,-1],[y,-1]]);
                   2005:      $B7k2L(B: [[x,-1],[y,-1]]
                   2006: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
                   2007:      $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
                   2008: @end example
                   2009:
                   2010: @table @t
                   2011: @item $B;2>H(B
                   2012: @ref{qt_normalize},
                   2013: @ref{qt_set_ord},
                   2014: @ref{qt_set_weight},
                   2015: @ref{dp_gr_main}
                   2016: @end table
                   2017:
                   2018: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2019: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2020: @noindent
                   2021: ChangeLog
                   2022: @itemize @bullet
                   2023: @item
                   2024: @end itemize
                   2025:
                   2026:
                   2027: @node nqt_comp,,, $B<B83E*;EMM$N4X?t(B
                   2028: @subsection @code{nqt_comp}
                   2029: @findex nqt_comp
                   2030:
                   2031: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2032: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   2033: @table @t
                   2034: @item nqt_cmp(@var{Expr1},@var{Exprt2})
                   2035: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
                   2036: @end table
                   2037:
                   2038: @table @var
                   2039: @item return
                   2040: $B@0?t(B
                   2041: @item Expr1, Expr2
                   2042: quote$B7?(B
                   2043: @end table
                   2044:
                   2045: @itemize @bullet
                   2046: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
                   2047: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
                   2048: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
                   2049: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
                   2050: @end itemize
                   2051:
                   2052: @example
                   2053: ctrl("print_quote",2);
                   2054: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
                   2055: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
                   2056:      $B=PNO(B: [-1,1,0]
                   2057: @end example
                   2058:
                   2059: @table @t
                   2060: @item $B;2>H(B
                   2061: @ref{qt_normalize},
                   2062: @ref{qt_set_ord},
                   2063: @ref{qt_set_weight}
                   2064: @end table
                   2065:
                   2066: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2067: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2068: @noindent
                   2069: ChangeLog
                   2070: @itemize @bullet
                   2071: @item $B$^$@=q$$$F$J$$(B.
                   2072: @end itemize
                   2073: @comment ****************************************************************
                   2074:
                   2075: @node qt_is_var,,, $B<B83E*;EMM$N4X?t(B
                   2076: @subsection @code{qt_is_var}, @code{qt_is_coef}
                   2077: @findex qt_is_var
                   2078: @findex qt_is_coef
                   2079:
                   2080: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2081: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   2082: @table @t
                   2083: @item qt_is_var(@var{Expr})
                   2084: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
                   2085: @item qt_is_coef(@var{Expr})
                   2086: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
                   2087: @end table
                   2088:
                   2089: @table @var
                   2090: @item return
                   2091: $B@0?t(B
                   2092: @item Expr
                   2093: quote$B7?(B
                   2094: @end table
                   2095:
                   2096: @itemize @bullet
                   2097: @item  @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
                   2098: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
                   2099: @end itemize
                   2100:
                   2101: @example
                   2102: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
                   2103:      $B=PNO(B: [1,0]
                   2104: @end example
                   2105:
                   2106: @table @t
                   2107: @item $B;2>H(B
                   2108: @ref{qt_rewrite},
                   2109: @ref{nqt_match_rewrite}
                   2110: @end table
                   2111:
                   2112: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2113: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2114: @noindent
                   2115: ChangeLog
                   2116: @itemize @bullet
                   2117: @item -----$B$^$@=q$$$F$J$$(B.
                   2118: @end itemize
                   2119: @comment ****************************************************************
                   2120:
                   2121: @node qt_rewrite,,, $B<B83E*;EMM$N4X?t(B
                   2122: @subsection @code{qt_rewrite}
                   2123: @findex qt_rewrite
                   2124:
                   2125: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2126: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   2127: @table @t
                   2128: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
                   2129: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
                   2130: @end table
                   2131:
                   2132: @table @var
                   2133: @item return
                   2134: quote$B7?(B
                   2135: @item Expr
                   2136: quote$B7?(B
                   2137: @item Rules
                   2138: $B%j%9%H(B
                   2139: @item Mode
                   2140: $B@0?t(B
                   2141: @end table
                   2142:
                   2143: @itemize @bullet
                   2144: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
                   2145: @code{import("noro_rewrite.rr")}  $B$7$F$*$/$3$H(B.
                   2146: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
                   2147: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
                   2148: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
                   2149: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
                   2150:  $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
                   2151: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
                   2152: @var{Pattern} $B$HF1$8=q$-J}(B.
                   2153: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
                   2154: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
                   2155: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
                   2156: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
                   2157: $B$5$l$F$+$i?k9T$5$l$k(B.
                   2158: @end itemize
                   2159:
                   2160: $BCm0U(B: $B?t3XE*$K$O(B X*Y=Y*X $B$,2D49@-$rM?$($k5,B'$@$,(B, $B$3$l$r$=$N$^$^5,B'$H$7$F(B
                   2161:            $BM?$($k$H=q$-49$($,Dd;_$7$J$$(B. $B<!$NNc$G$O(B, $B>e$NNc$N$h$&$K=g=xHf3S$7(B, $B$?$H$($P(B,
                   2162:            $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
                   2163: @example
                   2164: import("noro_rewrite.rr");
                   2165: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
                   2166: qt_rewrite(`(x-y)^2,R,2);
                   2167:      $B=PNO(B: quote(x*x+-2*x*y+y*y)
                   2168: @end example
                   2169:
                   2170: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
                   2171: @example
                   2172: import("noro_rewrite.rr");
                   2173: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
                   2174:                   quote(-Y*X)];
                   2175: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
                   2176: Rext2=[quote(X*X),quote(0)];
                   2177: Rext=[Rext0,Rext1,Rext2];
                   2178: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
                   2179:      $B=PNO(B: 2*x*y
                   2180:
                   2181: qt_set_coef([a,b,c,d]);
                   2182: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
                   2183:      $B=PNO(B: (d*a-c*b)*x*y
                   2184:
                   2185: @end example
                   2186:
                   2187: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
                   2188: @example
                   2189: import("noro_rewrite.rr");
                   2190: qt_set_coef([a,b]);
                   2191: Rd1=[`d(X+Y), `d(X)+d(Y)];
                   2192: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
                   2193: Rd3=[`d(N), `qt_is_coef(N), `0];
                   2194: Rd4=[`d(x),`1];
                   2195: Rd=[Rd1,Rd2,Rd3,Rd4];
                   2196: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
                   2197:      $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
                   2198: fctr(eval_quote(B));
                   2199:      $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
                   2200: @end example
                   2201:
                   2202: @table @t
                   2203: @item $B;2>H(B
                   2204: @ref{nqt_match},
                   2205: @ref{nqt_match_rewrite},
                   2206: @ref{qt_normalize}
                   2207: @end table
                   2208:
                   2209: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2210: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2211: @noindent
                   2212: ChangeLog
                   2213: @itemize @bullet
                   2214: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
                   2215: $B$3$N%f!<%68@8l$K$h$k3+H/$,(B 2005$BG/$N=U$^$G9T$o$l(B, $B$=$N$"$HAH$_9~$_4X?t<gBN$N(B
                   2216: qt $B7O$N4X?t$,3+H/$5$l$?(B.
                   2217: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
                   2218:   OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
                   2219:   OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
                   2220: @item Todo: qt $B7O$N4X?t$rMQ$$$?$*$b$7$m$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B.
                   2221: @end itemize
                   2222: @comment ****************************************************************
1.13      takayama 2223:
1.24      takayama 2224:
                   2225: @comment ****************************************************************
                   2226: @node asirgui.hnd,,, $B<B83E*;EMM$N4X?t(B
                   2227: @subsection @code{asirgui.hnd}
                   2228: @findex asirgui.hnd
                   2229:
                   2230: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2231: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   2232: @table @t
                   2233: @item asirguid.hnd
                   2234: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
                   2235: @end table
                   2236:
                   2237:
                   2238: @itemize @bullet
                   2239: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
                   2240: @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main winodw $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
                   2241: @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B.
                   2242: @end itemize
                   2243:
                   2244: @example
                   2245: // Visual C++ $BMQ$N%F%9%H%W%m%0%i%`(B. $BI8=`F~NO$r(B asirgui $B$XAw$j9~$`(B.
                   2246: // test.cpp : $B%3%s%=!<%k(B $B%"%W%j%1!<%7%g%sMQ$N%(%s%H%j(B $B%]%$%s%H$NDj5A(B
                   2247: //
                   2248:
                   2249: #include "stdafx.h"
                   2250: #include "test.h"
                   2251: #include <windows.h>
                   2252: #include <stdlib.h>
                   2253: #include <stdio.h>
                   2254: #include <fcntl.h>
                   2255: #include <process.h>
                   2256:
                   2257: #ifdef _DEBUG
                   2258: #define new DEBUG_NEW
                   2259: #undef THIS_FILE
                   2260: static char THIS_FILE[] = __FILE__;
                   2261: #endif
                   2262:
                   2263: /////////////////////////////////////////////////////////////////////////////
                   2264: // $BM#0l$N%"%W%j%1!<%7%g%s(B $B%*%V%8%'%/%H(B
                   2265:
                   2266: CWinApp theApp;
                   2267:
                   2268: using namespace std;
                   2269:
                   2270: int _tmain(int argc, TCHAR* argv[], TCHAR* envp[])
                   2271: {
                   2272:        int nRetCode = 0;
                   2273:
                   2274:        // MFC $B$N=i4|2=$*$h$S=i4|2=<:GT;~$N%(%i!<$N=PNO(B
                   2275:        if (!AfxWinInit(::GetModuleHandle(NULL), NULL, ::GetCommandLine(), 0))
                   2276:        {
                   2277:                // TODO: $BI,MW$K1~$8$F%(%i!<(B $B%3!<%I$rJQ99$7$F$/$@$5$$!#(B
                   2278:                cerr << _T("Fatal Error: MFC initialization failed") << endl;
                   2279:                nRetCode = 1;
                   2280:        }
                   2281:        else
                   2282:        {
                   2283:                // TODO: $B$3$N0LCV$K%"%W%j%1!<%7%g%s$NF0:n$r5-=R$7$F$/$@$5$$!#(B
                   2284:                CString strHello;
                   2285:                strHello.LoadString(IDS_HELLO);
                   2286:                cout << (LPCTSTR)strHello << endl;
                   2287:        }
                   2288:        HWND hnd;
                   2289:        FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
                   2290:        fscanf(fp,"%d",&hnd);
                   2291:        fclose(fp);
                   2292:        while (1) {
                   2293:                int c;
                   2294:                c = getchar();
                   2295:                if ( c == '#' ) break;
                   2296:                PostMessage(hnd,WM_CHAR,c,1);
                   2297:        }
                   2298:        return nRetCode;
                   2299: }
                   2300: @end example
                   2301:
                   2302: @table @t
                   2303: @item $B;2>H(B
                   2304: @ref{xyz_abc}
                   2305: @end table
                   2306:
                   2307: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2308: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2309: @noindent
                   2310: ChangeLog
                   2311: @itemize @bullet
                   2312: @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
                   2313: @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
                   2314: @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp}  1.15, 1.1.6
                   2315: @end itemize
                   2316: @comment ****************************************************************
                   2317:
1.25      takayama 2318: @node noro_matrix.rr,,, $B<B83E*;EMM$N4X?t(B
                   2319: @subsection @code{noro_matrix.rr}
                   2320: @findex noro_matrix.rr
                   2321:
                   2322: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2323: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   2324: @table @t
                   2325: @item linalg.unit_mat(@var{arg1})
                   2326: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
                   2327: @item linalg.minipoly_mat(@var{arg1})
                   2328: @item linalg.compute_kernel(@var{arg1})
                   2329: @item linalg.compute_image(@var{arg1})
                   2330: @item linalg.jordan_canonical_form(@var{arg1})
                   2331: @end table
                   2332:
                   2333:
                   2334: @itemize @bullet
                   2335: @item $B4JC1$J2r@b$*$h$S<BNc$O(B http://www.math.kobe-u.ac.jp/HOME/taka/2007/knx/noro_matrix-ja.txt $B$r;2>H(B.
                   2336: @end itemize
                   2337:
                   2338: @example
                   2339: load("noro_matrix.rr");
                   2340: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
                   2341: B=linalg.jordan_canonical_form(A);
                   2342: @end example
                   2343:
                   2344: @table @t
                   2345: @item $B;2>H(B
                   2346: @ref{invmat}
                   2347: @end table
                   2348:
                   2349: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2350: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2351: @noindent
                   2352: ChangeLog
                   2353: @itemize @bullet
                   2354: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
                   2355: @item $B%=!<%9(B:  OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
                   2356: @end itemize
                   2357:
                   2358:
1.26      takayama 2359: @node f_res,,, $B<B83E*;EMM$N4X?t(B
                   2360: @subsection @code{f_res}
                   2361: @findex f_res
1.25      takayama 2362:
                   2363: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2364: @table @t
1.26      takayama 2365: @item f_res
1.25      takayama 2366: @end table
                   2367:
                   2368:
                   2369: @itemize @bullet
1.26      takayama 2370: @item f_res $B$O3F<o$N=*7k<0$r7W;;$9$k%b%8%e!<%k$G$"$k(B. ox_grep("f_res"); $B$G(B online manual $B$r1\Mw2DG=$G$"$k(B.
1.25      takayama 2371: @end itemize
                   2372:
                   2373: @table @t
                   2374: @item $B;2>H(B
                   2375: @ref{}
                   2376: @end table
                   2377:
                   2378: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2379: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2380: @noindent
                   2381: ChangeLog
                   2382: @itemize @bullet
                   2383: @item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B.
1.26      takayama 2384: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25      takayama 2385: @end itemize
                   2386:
                   2387:
1.27      ohara    2388: @node chdir,,, $B<B83E*;EMM$N4X?t(B
                   2389: @subsection @code{chdir}, @code{pwd}
                   2390: @findex chdir
                   2391: @findex pwd
                   2392:
                   2393: @comment --- $B%G%#%l%/%H%jA`:n(B ---
                   2394: @table @t
                   2395: @item chdir(@var{directory})
                   2396: @item  pwd()
                   2397: :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
                   2398: @end table
                   2399:
                   2400: @table @var
                   2401: @item return
                   2402: $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
                   2403: @item dirctory
                   2404: $BJ8;zNs(B
                   2405: @end table
                   2406:
                   2407: @itemize @bullet
                   2408: @item
                   2409: @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
                   2410: @item
                   2411: @code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B.  $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B.
                   2412: @item
                   2413: $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B.
                   2414: @end itemize
                   2415:
                   2416: @example
                   2417: [0] S=pwd();
                   2418: /home/ohara
                   2419: [1] chdir(".../taka");
                   2420: -1
                   2421: [2] chdir("/usr/bin");
                   2422: 0
                   2423: @end example
                   2424:
                   2425: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2426: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2427: @noindent
                   2428: ChangeLog
                   2429: @itemize @bullet
                   2430: @item
                   2431: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
                   2432: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
                   2433: @end itemize
                   2434:
                   2435:
                   2436: @node dcurrenttime,,, $B<B83E*;EMM$N4X?t(B
                   2437: @subsection @code{dcurrenttime}
                   2438: @findex dcurrenttime
                   2439:
                   2440: @comment --- $B8=:_;~9o$r<hF@(B ---
                   2441: @table @t
                   2442: @item  dcurrenttime()
                   2443: :: $B8=:_;~9o$r<hF@(B.
                   2444: @end table
                   2445:
                   2446: @table @var
                   2447: @item return
                   2448: $BIbF0>.?tE@?t(B
                   2449: @end table
                   2450:
                   2451: @itemize @bullet
                   2452: @item
                   2453: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
                   2454: @end itemize
                   2455:
                   2456: @example
                   2457: [0] ctrl("real_digit", 16);
                   2458: 16
                   2459: [1] dcurrenttime();
                   2460: 1226390851.34476
                   2461: [2] currenttime();
                   2462: 1226390854
                   2463: @end example
                   2464:
                   2465: @table @t
                   2466: @item $B;2>H(B
                   2467: @ref{currenttime}
                   2468: @end table
                   2469:
                   2470: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2471: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
                   2472: @noindent
                   2473: ChangeLog
                   2474: @itemize @bullet
                   2475: @item
                   2476: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
                   2477: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
                   2478: @end itemize
                   2479:
1.29      nakayama 2480: @node nk_restriction.restriction,,, $B<B83E*;EMM$N4X?t(B
                   2481: @subsection @code{nk_restriction.restriction}
                   2482: @comment --- $B:w0zMQ%-!<%o!<%I(B
                   2483: @findex nk_restriction.restriction
                   2484:
                   2485: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2486: @table @t
                   2487: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
                   2488: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B
                   2489: @end table
                   2490:
                   2491: @comment --- $B0z?t$N4JC1$J@bL@(B ---
                   2492: @table @var
                   2493: @item Id
                   2494: $B%$%G%"%k$N@8@.85$N%j%9%H(B
                   2495: @item VL
                   2496: $BJQ?t$N%j%9%H(B
                   2497: @item DVL
                   2498: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
                   2499: @item W
                   2500: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
                   2501: @end table
                   2502:
                   2503: @itemize @bullet
                   2504: @item
                   2505: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
                   2506: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
                   2507: @item
                   2508: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
                   2509: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
                   2510: x,y $B$K$D$$$F@)8B$r9T$&!#(B
                   2511: @end itemize
                   2512:
                   2513: $B0J2<$O!"%$%G%"%k(B
                   2514: @tex
                   2515: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
                   2516: @end tex
                   2517: $B$N(B
                   2518: @tex $x$ @end tex
                   2519: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B
                   2520: @example
                   2521: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
                   2522: -- generic_bfct_and_gr :0.001sec(0.001629sec)
                   2523: generic bfct : [[1,1],[s-1,1]]
                   2524: S0 : 1
                   2525: B_{S0} length : 2
                   2526: -- fctr(BF) + base :0.000999sec(0.0005109sec)
                   2527: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
                   2528: [1433]
                   2529: @end example
                   2530:
                   2531: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
                   2532: @subsection @code{nk_restriction.restriction_ideal}
                   2533: @comment --- $B:w0zMQ%-!<%o!<%I(B
                   2534: @findex nk_restriction.restriction_ideal
                   2535:
                   2536: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2537: @table @t
                   2538: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
                   2539: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B
                   2540: @end table
                   2541:
                   2542: @comment --- $B0z?t$N4JC1$J@bL@(B ---
                   2543: @table @var
                   2544: @item Id
                   2545: $B%$%G%"%k$N@8@.85$N%j%9%H(B
                   2546: @item VL
                   2547: $BJQ?t$N%j%9%H(B
                   2548: @item DVL
                   2549: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
                   2550: @item W
                   2551: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
                   2552: @end table
                   2553:
                   2554: @itemize @bullet
                   2555: @item
                   2556: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
                   2557: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
                   2558: @item
                   2559: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
                   2560: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
                   2561: x,y $B$K$D$$$F@)8B$r9T$&!#(B
                   2562: @end itemize
                   2563:
                   2564: $B0J2<$O!"%$%G%"%k(B
                   2565: @tex
                   2566: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
                   2567: @end tex
                   2568: $B$N(B
                   2569: @tex $x$ @end tex
                   2570: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
                   2571: @example
                   2572: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
                   2573: -- generic_bfct_and_gr :0.002sec(0.001652sec)
                   2574: generic bfct : [[1,1],[s-1,1]]
                   2575: S0 : 1
                   2576: B_{S0} length : 2
                   2577: -- fctr(BF) + base :0sec(0.000566sec)
                   2578: -- restriction_ideal_internal :0.001sec(0.0007441sec)
                   2579: [-1]
                   2580: [1347]
                   2581: @end example
                   2582:
                   2583: @node nk_restriction.integration,,, $B<B83E*;EMM$N4X?t(B
                   2584: @subsection @code{nk_restriction.integration}
                   2585: @comment --- $B:w0zMQ%-!<%o!<%I(B
                   2586: @findex nk_restriction.integration
                   2587:
                   2588: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2589: @table @t
                   2590: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
                   2591: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B
                   2592: @end table
                   2593:
                   2594: @comment --- $B0z?t$N4JC1$J@bL@(B ---
                   2595: @table @var
                   2596: @item Id
                   2597: $B%$%G%"%k$N@8@.85$N%j%9%H(B
                   2598: @item VL
                   2599: $BJQ?t$N%j%9%H(B
                   2600: @item DVL
                   2601: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
                   2602: @item W
                   2603: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
                   2604: @end table
                   2605:
                   2606: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
                   2607: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
                   2608: @comment --- @bullet $B$O9uE@IU$-(B ---
                   2609: @itemize @bullet
                   2610: @item
                   2611: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
                   2612: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
                   2613: @item
                   2614: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
                   2615: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
                   2616: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
                   2617: @end itemize
                   2618:
                   2619: $B0J2<$O!"%$%G%"%k(B
                   2620: @tex
                   2621: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
                   2622: @end tex
                   2623: $B$N(B
                   2624: @tex $t$ @end tex
                   2625: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
                   2626: @example
                   2627: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
                   2628: [dt,dx],[1,0]);
                   2629: -- generic_bfct_and_gr :0.001sec(0.001796sec)
                   2630: generic bfct : [[1,1],[s,1],[s-1,1]]
                   2631: S0 : 1
                   2632: B_{S0} length : 2
                   2633: -- fctr(BF) + base :0.001sec(0.0006731sec)
                   2634: [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
                   2635: @end example
                   2636:
                   2637: @node nk_restriction.integration_ideal,,, $B<B83E*;EMM$N4X?t(B
                   2638: @subsection @code{nk_restriction.integration_ideal}
                   2639: @comment --- $B:w0zMQ%-!<%o!<%I(B
                   2640: @findex nk_restriction.integration_ideal
                   2641:
                   2642: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2643: @table @t
                   2644: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
                   2645: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B
                   2646: @end table
                   2647:
                   2648: @comment --- $B0z?t$N4JC1$J@bL@(B ---
                   2649: @table @var
                   2650: @item Id
                   2651: $B%$%G%"%k$N@8@.85$N%j%9%H(B
                   2652: @item VL
                   2653: $BJQ?t$N%j%9%H(B
                   2654: @item DVL
                   2655: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
                   2656: @item W
                   2657: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
                   2658: @end table
                   2659:
                   2660: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
                   2661: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
                   2662: @comment --- @bullet $B$O9uE@IU$-(B ---
                   2663: @itemize @bullet
                   2664: @item
                   2665: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
                   2666: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
                   2667: @item
                   2668: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
                   2669: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
                   2670: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
                   2671: @end itemize
                   2672:
                   2673: $B0J2<$O!"%$%G%"%k(B
                   2674: @tex
                   2675: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
                   2676: @end tex
                   2677: $B$N(B
1.32    ! noro     2678: @tex $t$
        !          2679: @end tex
1.29      nakayama 2680: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
                   2681: @example
                   2682: [1431]  nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
                   2683: [dt,dx],[1,0]);
                   2684: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
                   2685: generic bfct : [[1,1],[s,1],[s-1,1]]
                   2686: S0 : 1
                   2687: B_{S0} length : 2
                   2688: -- fctr(BF) + base :0.001sec(0.001091sec)
                   2689: -- integration_ideal_internal :0.002sec(0.001879sec)
                   2690: [2*x*dx+1]
                   2691: [1432]
                   2692: @end example
                   2693:
1.30      takayama 2694: @noindent
                   2695: ChangeLog
                   2696: @itemize @bullet
                   2697: @item  $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
                   2698: @end itemize
                   2699:
1.31      noro     2700: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B<B83E*;EMM$N4X?t(B
                   2701: @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
                   2702: @findex nd_gr (module)
                   2703: @findex nd_gr_trace (module)
                   2704: @findex nd_weyl_gr (module)
                   2705: @findex nd_weyl_gr_trace (module)
1.29      nakayama 2706:
1.31      noro     2707: @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
                   2708: @table @t
                   2709: @item  nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
                   2710: @itemx  nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
                   2711: @item  nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
                   2712: @itemx  nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
                   2713: :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
                   2714: @end table
                   2715:
                   2716: @table @var
                   2717: @item gen
                   2718: $B%j%9%H$N%j%9%H(B
                   2719: @item ord
                   2720: @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
                   2721: @item return
                   2722: $B%j%9%H$N%j%9%H(B
                   2723: @end table
                   2724:
                   2725: @itemize @bullet
                   2726: @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
                   2727: $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
                   2728: $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
                   2729: @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
                   2730: $B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$r<B9T$9$k(B. $B$3$N>l9g(B, @var{gen} $B$O(B, $BB?9`<0(B
                   2731: $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
                   2732: @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
                   2733: $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
                   2734: $B$G9T$&(B.
                   2735: @item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B.
                   2736: @end itemize
                   2737:
                   2738: @example
                   2739: [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
                   2740: [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
                   2741: [1]  nd_gr(Gen,[x,y,z],0,[0,0]);
                   2742: [[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3,
                   2743: -x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2
                   2744: +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
                   2745: @end example
                   2746:
                   2747: @table @t
                   2748: @item $B;2>H(B
                   2749: @ref{nd_gr}, @ref{nd_gr_trace}
                   2750: @end table
                   2751:
                   2752: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B<B83E*;EMM$N4X?t(B
                   2753: @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
                   2754: @findex nd_gr (option)
                   2755: @findex nd_gr_trace (option)
                   2756: @findex nd_weyl_gr (option)
                   2757: @findex nd_weyl_gr_trace (option)
                   2758:
                   2759: @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
                   2760:
                   2761: @table @t
                   2762: @item  nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
                   2763: @itemx  nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
                   2764: @itemx  nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
                   2765: @itemx  nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
                   2766: :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
                   2767: @end table
                   2768:
                   2769: @table @var
                   2770: @item opt
                   2771: @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
                   2772: @item return
                   2773: $B%*%W%7%g%s$K$h$j0[$J$k(B
                   2774: @end table
                   2775:
                   2776: @itemize @bullet
                   2777: @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
                   2778: @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
                   2779:
                   2780: @table @var
                   2781: @item gentrace
                   2782: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
                   2783: @item gentsyz
                   2784: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
                   2785: @item nora
                   2786: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
                   2787: @end table
                   2788:
                   2789: @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
                   2790: @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
                   2791: $B<!$NDL$j$G$"$k(B.
                   2792: @table @var
                   2793: @item GB
                   2794: $B%0%l%V%J!<4pDl(B
                   2795: @item Homo
                   2796: $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
                   2797: @item Trace
                   2798: $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
                   2799: @item IntRed
                   2800: $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
                   2801: @item Ind
                   2802: $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
                   2803: @item InputRed
                   2804: $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
                   2805: (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
                   2806: @item SpairTrace
                   2807: $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
                   2808: (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
                   2809: @end table
                   2810: @item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B
                   2811: $B4X?t$N9`$G@bL@$9$kM=Dj(B.
                   2812: @end itemize
                   2813:
                   2814: @example
                   2815: [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
                   2816: [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
                   2817: [2] D[0];
                   2818: [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
                   2819: [3] D[2];
                   2820: [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
                   2821: [4] D[6];
                   2822: [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
                   2823: @end example
                   2824:
                   2825: @table @t
                   2826: @item $B;2>H(B
                   2827: @ref{nd_gr}, @ref{nd_gr_trace}
                   2828: @end table
1.29      nakayama 2829:
1.23      takayama 2830: @comment -----------  $B0J2<$O8+K\(B. $B>C$9$J(B.
1.19      takayama 2831: @comment ****************************************************************
1.8       takayama 2832: @comment --- $B"~"~"~"~(B  $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3       takayama 2833: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.4       takayama 2834: @comment --- $B"~"~"~"~(B  $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
                   2835: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
                   2836: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
                   2837: @subsection @code{xyz_pqr}, @code{syz_stu}
                   2838: @findex xyz_pqr
                   2839: @findex xyz_stu
                   2840:
1.3       takayama 2841: @comment --- $B4X?t$N4JC1$J@bL@(B ---
                   2842: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
                   2843: @table @t
1.1       takayama 2844: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
                   2845: @itemx xyz_stu(@var{arg1},@var{arg2})
                   2846: :: xyz $B$K4X$9$kA`:n(B.
                   2847: @end table
                   2848:
                   2849: @table @var
                   2850: @item return
                   2851: $B@0?t(B
                   2852: @item arg1, arg2
                   2853: $B@0?t(B
                   2854: @item flag
                   2855: 0 $B$^$?$O(B 1
                   2856: @end table
                   2857:
                   2858: @itemize @bullet
1.3       takayama 2859: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1       takayama 2860: @item
                   2861: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
                   2862: @item
                   2863: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
                   2864: @item
                   2865: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
                   2866: @end itemize
                   2867:
                   2868: @example
                   2869: [219] xyz_pqr(1,2);
                   2870: 3
                   2871: [220] xyz_pqr(1,2,1);
                   2872: 3
                   2873: 0
                   2874: [221] xyz_stu(1,2);
                   2875: 3
                   2876: @end example
                   2877:
                   2878: @table @t
                   2879: @item $B;2>H(B
                   2880: @ref{xyz_abc}
                   2881: @end table
                   2882:
1.3       takayama 2883: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
                   2884: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1       takayama 2885: @noindent
                   2886: ChangeLog
                   2887: @itemize @bullet
                   2888: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
                   2889:  http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
                   2890:  $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
                   2891: @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
                   2892: @end itemize
                   2893:
                   2894: @comment --- $B$*$^$8$J$$(B ---
                   2895: @node Index,,, Top
                   2896: @unnumbered Index
                   2897: @printindex fn
                   2898: @printindex cp
                   2899: @iftex
                   2900: @vfill @eject
                   2901: @end iftex
                   2902: @summarycontents
                   2903: @contents
                   2904: @bye
                   2905: @comment --- $B$*$^$8$J$$=*$j(B ---

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