Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.46
1.46 ! takayama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.45 2012/02/26 01:25:30 takayama 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$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.46 ! takayama 41: @subtitle 2012 $BG/(B 9 $B7n(B
1.1 takayama 42:
1.16 ohara 43: @author by Risa/Asir committers
1.1 takayama 44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
1.37 takayama 47: 2004--2010. All rights reserved.
1.1 takayama 48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(B ---
51: @synindex vr fn
52: @comment --- $B$*$^$8$J$$=*$j(B ---
53:
54: @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
1.34 ohara 55: @comment --- @node $B$N0z?t$O(B node-name, next, previous, up ---
1.1 takayama 56: @node Top,, (dir), (dir)
57:
58: @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
59: @comment --- chapter $BL>$r@53N$KJB$Y$k(B ---
60: @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
61: @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
62: @menu
1.34 ohara 63: * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
64: * $B<B83E*;EMM$N4X?t(B::
1.1 takayama 65: * Index::
66: @end menu
67:
68: @comment --- chapter $B$N3+;O(B ---
69: @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
1.34 ohara 70: @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, Top
71: @chapter $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
1.1 takayama 72:
73: $B$3$N@bL@=q$G$O(B
74: @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
75: $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
76: $B$K0\F0$5$l$k(B.
77: ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
78: $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
79:
1.34 ohara 80: @node $B<B83E*;EMM$N4X?t(B,,, Top
81: @chapter $B<B83E*;EMM$N4X?t(B
1.1 takayama 82:
1.34 ohara 83: @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
1.1 takayama 84: @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
85: @menu
1.2 takayama 86: * quotetotex::
87: * quotetotex_env::
88: * objtoquote::
1.3 takayama 89: * copyright::
1.2 takayama 90: * string_to_tb::
91: * tb_to_string::
92: * write_to_tb::
1.3 takayama 93: * dp_gr_main::
1.4 takayama 94: * asir-port.sh::
95: * asir-install.sh::
96: * get_struct_name::
97: * get_element_names::
98: * get_element_at::
99: * put_element_at::
1.6 takayama 100: * dp_initial_term::
101: * dp_order::
102: * dp_weyl_gr_main::
1.8 takayama 103: * list::
104: * mapat::
1.9 takayama 105: * set_print_function::
1.12 takayama 106: * small_jacobi::
1.13 takayama 107: * flatten_quote::
1.27 ohara 108: * printf::
1.28 ohara 109: * fprintf::
1.15 takayama 110: * sprintf::
111: * quote_to_funargs::
112: * funargs_to_quote::
1.19 takayama 113: * get_function_name::
1.15 takayama 114: * remove_paren::
1.17 takayama 115: * set_secure_mode::
116: * set_secure_flag::
1.22 takayama 117: * initialize_static_variable::
1.23 takayama 118: * eval_quote::
119: * nqt_match::
120: * nqt_match_rewrite::
121: * qt_normalize::
122: * qt_set_coef::
123: * qt_set_ord::
124: * qt_set_weight::
125: * nqt_comp::
126: * qt_is_var::
127: * qt_is_ceof::
1.34 ohara 128: * qt_rewrite::
1.24 takayama 129: * asirgui.hnd::
1.25 takayama 130: * noro_matrix.rr:
1.26 takayama 131: * f_res::
1.27 ohara 132: * chdir::
133: * pwd::
134: * dcurrenttime::
1.34 ohara 135: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
136: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
1.41 takayama 137: * tk_pfn.rkn::
138: * tk_pfn.graph::
139: * tk_rk.runge_kutta_4::
140: * tk_rk.runge_kutta_4_linear::
1.46 ! takayama 141: * tk_rk.zonal::
1.34 ohara 142: @end menu
1.23 takayama 143:
1.34 ohara 144: @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
145: @section $B%/%*!<%H(B
1.1 takayama 146:
1.34 ohara 147: @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1 takayama 148: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
149: @comment --- section $BL>$r@53N$K(B ---
1.34 ohara 150: @node quotetotex quotetotex_env,,, $B%/%*!<%H(B
1.2 takayama 151: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1 takayama 152: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2 takayama 153: @findex quotetotex
154: @findex quotetotex_env
1.1 takayama 155:
156: @comment --- $B4X?t$N4JC1$J@bL@(B ---
157: @table @t
1.34 ohara 158: @item quotetotex(@var{q})
1.2 takayama 159: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
160: @item quotetotex_env(@var{key},@var{value})
161: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
162: @item quotetotex_env()
163: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
164: @item quotetotex_env(0)
165: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1 takayama 166: @end table
167:
168: @comment --- $B0z?t$N4JC1$J@bL@(B ---
169: @table @var
170: @item return
1.2 takayama 171: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
172: @item q
173: quote
174: @item key
175: $BJ8;zNs(B
176: @item value
177: $B%*%V%8%'%/%H(B
1.1 takayama 178: @end table
179:
180: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
181: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
182: @comment --- @bullet $B$O9uE@IU$-(B ---
183: @itemize @bullet
184: @item
1.2 takayama 185: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
1.34 ohara 186: @item
1.2 takayama 187: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
1.34 ohara 188: @item
1.2 takayama 189: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
190: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
191: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3 takayama 192: 2$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 193: $B$r0UL#$9$k(B.
194: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
195: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
196: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
197: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
198: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
199: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
200: $BFbB"$:$_(B.
1.34 ohara 201: @item
1.5 takayama 202: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
1.34 ohara 203: @iftex
204: @tex
1.5 takayama 205: $x_0, x_1, \cdots$
1.34 ohara 206: @end tex
207: @end iftex
208: @ifinfo
209: x0, x1, ...
210: @end ifinfo
1.5 takayama 211: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
212: x $B$NItJ,$rJQ99$9$k(B.
1.34 ohara 213: @item
1.5 takayama 214: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
215: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 216: @item
1.2 takayama 217: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 218: latex $B7A<0$KJQ49$9$k(B.
1.34 ohara 219: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
220: @iftex
221: @tex
1.2 takayama 222: $x_0, x_1, \cdots$
1.34 ohara 223: @end tex
224: $B$K8eH>$NH>J,$r(B
225: @tex
1.2 takayama 226: $\partial_0, \partial_1, \cdots$
1.34 ohara 227: @end tex
228: @end iftex
229: @ifinfo
230: x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ...
231: @end ifinfo
1.2 takayama 232: $B$KJQ49$9$k(B.
233: $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 234: @item
235: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
236: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
237: @item
238: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.34 ohara 239: @item
1.2 takayama 240: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
1.1 takayama 241: @end itemize
242:
243: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
244: @example
1.2 takayama 245: [3] quotetotex(quote(1/(x+1)));
246: \frac@{ 1@} @{ ( @{x@}+ 1)@}
247: [4] quotetotex(objtoquote(diff(x^x,x)));
248: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
249: [5] quotetotex_env("conv_rule",3);
250: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
251: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 252: @end example
253:
254: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
255: @table @t
256: @item $B;2>H(B
1.2 takayama 257: @ref{objtoquote}
1.3 takayama 258: print_tex_form(contrib)
1.1 takayama 259: @end table
260:
261: @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
262: @noindent
263: ChangeLog
264: @itemize @bullet
1.34 ohara 265: @item
266: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
267: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
1.5 takayama 268: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
269: $B=PNO7A<0$r2~A1$7$?(B.
270: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
1.34 ohara 271: @item
272: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
1.5 takayama 273: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
1.34 ohara 274: @item
1.5 takayama 275: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 276: builtin/strobj.c 1.14--1.43,
277: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
278: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
279: parse/quote.c 1.7--1.8, 1.12.
1.34 ohara 280: @item
1.3 takayama 281: knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1.34 ohara 282: @item
1.5 takayama 283: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
284: @item
285: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 286: @end itemize
287:
288:
289:
1.34 ohara 290: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
291: @node objtoquote,,, $B%/%*!<%H(B
1.3 takayama 292: @subsection @code{objtoquote}
293: @findex objtoquote
294:
295: @comment --- $B4X?t$N4JC1$J@bL@(B ---
296: @table @t
297: @item objtoquote(@var{ob})
298: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
299: @end table
300:
301: @table @var
302: @item return
303: quote
304: @item ob
305: $B%*%V%8%'%/%H(B
306: @end table
307:
308: @itemize @bullet
309: @item
310: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
311: @end itemize
312:
313: @example
314: [1150] quotetolist(quote(1+2));
315: [b_op,+,[internal,1],[internal,2]]
316: [1151] quotetolist(objtoquote(1+x));
317: [b_op,+,[internal,x],[internal,1]]3
318: @end example
319:
320: @table @t
321: @item $B;2>H(B
322: @ref{quotetotex} @ref{quotetolist}
323: @end table
324:
325: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
326: @noindent
327: ChangeLog
328: @itemize @bullet
329: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
330: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
331: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
332: @end itemize
333:
334:
1.34 ohara 335: @node flatten_quote,,, $B%/%*!<%H(B
336: @subsection @code{flatten_quote}
337: @findex flatten_quote
1.3 takayama 338:
339: @comment --- $B4X?t$N4JC1$J@bL@(B ---
340: @table @t
1.34 ohara 341: @item flatten_quote(@var{q},@var{op})
342: :: quote $B$N3g8L$r$H$j$5$k(B.
1.3 takayama 343: @end table
344:
345: @table @var
346: @item return
1.34 ohara 347: Quote
348: @item q
349: Quote
350: @item op
351: $B1i;;;R$rI=$9J8;zNs(B.
1.3 takayama 352: @end table
353:
354: @itemize @bullet
355: @item
1.34 ohara 356: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
357: ( quotetolist $B;2>H(B ).
358: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
359: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
360: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
361: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
362: @item
363: $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
364: 1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
365: $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
366: @item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
367: + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
368: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.3 takayama 369: @end itemize
370:
371: @example
1.34 ohara 372: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
373: quote(1+2+3+4*(x+3))
374: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
375: quote(x*y*p*3-x*y*z)
376: [1290] quotetolist(quote(1+2+3));
377: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
1.3 takayama 378: @end example
379:
1.34 ohara 380: @table @t
381: @item $B;2>H(B
382: @ref{quotetolist}, @ref{print_tex_form}(contrib)
383: @end table
384:
385: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.3 takayama 386: @noindent
387: ChangeLog
388: @itemize @bullet
1.34 ohara 389: @item
390: $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
391: quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
392: OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B
393: $B1~MQ(B.
394: @item
395: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
396: builtin/strobj.c 1.47,
397: parse/eval.c 1.35,
398: parse/parse.h 1.31,
399: parse/quote.c 1.14--1.16.
1.3 takayama 400: @end itemize
401:
402:
1.34 ohara 403: @node quote_to_funargs,,, $B%/%*!<%H(B
404: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
405: @findex quote_to_funargs
406: @findex funargs_to_quote
407: @findex remove_paren
1.3 takayama 408:
409: @table @t
1.34 ohara 410: @item quote_to_funargs(@var{q})
411: :: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
412: @item funargs_to_quote(@var{f})
413: :: funarg $B7A<0$r(B quote $B$X(B.
414: @item get_function_name(@var{f})
415: :: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
416: @item remove_paren(@var{q})
417: :: $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
1.3 takayama 418: @end table
419:
420: @table @var
421: @item return
1.34 ohara 422: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
423: @item q
424: quote
425: @item f
426: $B%j%9%H(B
1.3 takayama 427: @end table
428:
429: @itemize @bullet
430: @item
1.34 ohara 431: @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
432: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
433: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
434: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
435: @item
436: @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
437: $B$J$k7A<0$r$7$F$$$k(B.
438: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
439: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
440: $B$G<h$j$@$;$k(B.
441: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
442: $B$O(B "+" $B$rLa$9(B.
1.3 takayama 443: @item
1.34 ohara 444: $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.3 takayama 445: @item
1.34 ohara 446: $B2<$NNc$G(B
447: quote_to_funargs(FA[2]);
448: [34,[b_op,+,[internal,x],[internal,1]]]
449: $B$H$J$k(B.
450: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
451: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
452: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
453: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
454: I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
455: I_PRESELF, I_POSTSELF,
456: I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
457: I_ANS, I_PVAR, I_ASSPVAR,
458: I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
459: I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
460: I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
461: I_NARYOP
1.3 takayama 462: @end itemize
463:
1.34 ohara 464: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
465: @example
466: [0] ctrl("print_quote",1) $
467:
468: [1] Q=quote((x+1)+(x+2));
469: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
470: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
471:
472: [2] FA=quote_to_funargs(Q);
473: [0,<...quoted...>,
474: [u_op,(),[b_op,+,[internal,x],[internal,1]]],
475: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
476:
477: [3] FA2=quote_to_funargs(FA[2])[1];
478: [b_op,+,[internal,x],[internal,1]]
479:
480: [4] FA3=quote_to_funargs(FA[3])[1];
481: [b_op,+,[internal,x],[internal,2]]
482:
483: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
484: [b_op,+,[b_op,+,[internal,x],[internal,1]],
485: [b_op,+,[internal,x],[internal,2]]]
486: @end example
487:
488: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
489: @example
490: [1287] load("noro_simplify.rr");
491: 1
492: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
493: quote(f(1-x))
494: @end example
1.3 takayama 495:
1.34 ohara 496: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
497: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
498: @example
499: [1184] R=quote_to_funargs(quote(a+(b+c)));
500: [0,<...quoted...>,<...quoted...>,<...quoted...>]
501: [1185] T=quote_to_funargs(quote(1+2));
502: [0,<...quoted...>,<...quoted...>,<...quoted...>]
503: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
504: quote(a+1)
1.3 takayama 505: @end example
506:
1.34 ohara 507: @table @t
508: @item $B;2>H(B
509: @ref{quotetolist}
510: @end table
511:
1.3 takayama 512:
513: @noindent
514: ChangeLog
515: @itemize @bullet
1.34 ohara 516: @item
517: $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
518: $B$N<B83E*4X?t$G$"$k(B.
519: $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
520: @item
521: $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
522: @item
523: 2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
524: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
525: @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
526: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.3 takayama 527: @end itemize
528:
529:
1.34 ohara 530: @node eval_quote,,, $B%/%*!<%H(B
531: @subsection @code{eval_quote}
532: @findex eval_quote
1.3 takayama 533:
534: @comment --- $B4X?t$N4JC1$J@bL@(B ---
535: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
536: @table @t
1.34 ohara 537: @item eval_quote(@var{Q});
538: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
1.3 takayama 539: @end table
540:
541: @table @var
542: @item return
1.34 ohara 543: $B%*%V%8%'%/%H(B
544: @item Q
545: quote$B7?(B
546: @end table
547:
548: @itemize @bullet
549: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
550: @item $B5U4X?t$O(B @code{objtoquote}
551: @end itemize
552:
553: @example
554: ctrl("print_quote",2);
555: A=quote((x-1)^2+(x-1)+3);
556: $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
557: eval_quote(A);
558: $B=PNO(B: x^2-x+3
559: print_input_form(A); /* asir-contrib */
560: $B=PNO(B: quote((x-1)^2+(x-1)+3)
1.11 ohara 561: @end example
1.3 takayama 562:
1.34 ohara 563: @table @t
564: @item $B;2>H(B
565: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
566: @ref{quote_to_funargs}, @ref{funargs_to_quote}
567: @end table
1.3 takayama 568:
569: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 570: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 571: @noindent
572: ChangeLog
573: @itemize @bullet
1.34 ohara 574: @item -----$B$^$@=q$$$F$J$$(B.
1.1 takayama 575: @end itemize
576:
1.34 ohara 577:
578: @node nqt_match,,, $B%/%*!<%H(B
579: @subsection @code{nqt_match}
580: @findex nqt_match
1.1 takayama 581:
582: @comment --- $B4X?t$N4JC1$J@bL@(B ---
583: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
584: @table @t
1.34 ohara 585: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
586: :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
1.3 takayama 587: @end table
588:
1.34 ohara 589: @table @var
590: @item return
591: $B@0?t(B
592: @item Expr
593: quote$B7?(B
594: @item Pattern
595: quote$B7?(B
596: @item Mode
597: $B@0?t(B
598: @end table
1.3 takayama 599:
600: @itemize @bullet
1.34 ohara 601: @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$$$H(B 0 $B$rLa$9(B.
602: @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
603: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
604: @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
605: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
1.3 takayama 606: @end itemize
607:
1.34 ohara 608: @example
609: ctrl("print_quote",2);
610: A=quote((x-y)*(x+y));
611: nqt_match(A,quote(P*Q));
612: [P,Q]
613: $B=PNO(B: [x-y, x+y]
614: nqt_match(A,quote(P*Q),1);
615: $B%^%C%A$7$J$$(B.
616: nqt_match(A,quote(P*Q),2);
617: $B%^%C%A$7$J$$(B.
618: qt_normalize(A,1);
619: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
620: qt_normalize(A,2);
621: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
622: @end example
623:
624: @table @t
625: @item $B;2>H(B
626: @ref{nqt_match_rewrite},
627: @ref{qt_rewrite}
628: @end table
1.3 takayama 629:
630: @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
1.34 ohara 631: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 632: @noindent
633: ChangeLog
634: @itemize @bullet
1.34 ohara 635: @item ----- $B$^$@=q$$$F$J$$(B.
1.3 takayama 636: @end itemize
637:
1.4 takayama 638:
1.34 ohara 639: @node nqt_match_rewrite,,, $B%/%*!<%H(B
640: @subsection @code{nqt_match_rewrite}
641: @findex nqt_match_rewrite
1.4 takayama 642:
643: @comment --- $B4X?t$N4JC1$J@bL@(B ---
644: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
645: @table @t
1.34 ohara 646: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
647: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
1.4 takayama 648: @end table
649:
650: @table @var
651: @item return
1.34 ohara 652: quote$B7?(B
653: @item Expr
654: quote$B7?(B
655: @item Rule
656: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
657: [@var{Pattern},@var{Condition},@var{Action}].
658: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
659: @item Mode
660: $B@0?t(B
1.4 takayama 661: @end table
662:
663: @itemize @bullet
1.34 ohara 664: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
665: @var{Exprt} $B<+BN$rLa$9(B.
666: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
1.4 takayama 667: @end itemize
668:
1.34 ohara 669: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
1.4 takayama 670: @example
1.34 ohara 671: ctrl("print_quote",2);
672: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
673: $B=PNO(B: (x)+((y)*(z))
674: A=`x*x;
675: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
676: $B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B)
677: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
678: $B=PNO(B: 2*x
679:
680: $BE,9g$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.
681: quotetolist(qt_normalize(`x*x,0));
682: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
683: quotetolist(qt_normalize(`x*x,1));
684: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
685: quotetolist(qt_normalize(`x*x,2));
686: $B=PNO(B: [n_op,*,[internal,x],[internal,x]]
1.4 takayama 687: @end example
688:
689: @table @t
690: @item $B;2>H(B
1.34 ohara 691: @ref{nqt_match},
692: @ref{qt_rewrite},
693: @ref{qt_normalize}
1.4 takayama 694: @end table
695:
696: @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
697: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
698: @noindent
699: ChangeLog
700: @itemize @bullet
1.34 ohara 701: @item -----$B$^$@=q$$$F$J$$(B.
1.4 takayama 702: @end itemize
703:
1.34 ohara 704:
705:
706: @node qt_normalize,,, $B%/%*!<%H(B
707: @subsection @code{qt_normalize}
708: @findex qt_normalize
1.6 takayama 709:
710: @comment --- $B4X?t$N4JC1$J@bL@(B ---
711: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
712: @table @t
1.34 ohara 713: @item qt_normalize(@var{Expr}[,@var{Mode}])
714: :: @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.
1.6 takayama 715: @end table
716:
717: @table @var
718: @item return
1.34 ohara 719: quote$B7?(B
720: @item Expr
721: quote$B7?(B
722: @item Mode
723: $B@0?t(B
1.6 takayama 724: @end table
725:
1.34 ohara 726: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
727: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
728: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
729: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
730:
731: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
732: 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.
733: @example
734: fn = formula | functor(nf [,...]) | sum_of_monom
735: fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
736: sum_of_monom = monom [+ ...]
737: $B%b%N%_%"%k$NOB(B
738: monom = [formula *] nfpow [* ...]
739: $B%b%N%_%"%k(B
740: nfpow = nf | nf^(nf)
741: $BQQ>hItJ,$NI8=`7A(B
742: formula = Risa object
743: @end example
744:
745:
1.6 takayama 746: @itemize @bullet
1.34 ohara 747: @item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
748: @item $BE83+$O:F5"E*$G$"$k(B.
749: @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
750: (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
751: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
752: @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$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$$$k(B.
753: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
754: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
755: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
1.6 takayama 756: @end itemize
757:
1.34 ohara 758: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
759: @comment %%cfep/tests/2006-03-12-qt.rr
1.6 takayama 760: @example
1.34 ohara 761: ctrl("print_quote",2);
762: A=quote((x-y)*(x+y));
763: $B=PNO(B: ((x)-(y))*((x)+(y))
764: B=qt_normalize(A,0);
765: $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
766: quotetolist(B);
767: $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
1.6 takayama 768:
1.34 ohara 769: B=qt_normalize(A,1);
770: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
771: Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
772: quotetolist(B);
773: $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]]]
1.6 takayama 774:
1.34 ohara 775: qt_normalize(A,2);
776: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
777: Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
778: quotetolist(B);
779: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
1.6 takayama 780:
1.34 ohara 781: qt_normalize(`x^2,2);
782: $B=PNO(B: (x)*(x)
783: Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
1.6 takayama 784: @end example
785:
786: @table @t
787: @item $B;2>H(B
1.34 ohara 788: @ref{nqt_match},
789: @ref{nqt_match_rewrite},
790: @ref{quotetolist},
791: @ref{quote_to_funargs}
1.6 takayama 792: @end table
793:
794: @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
1.34 ohara 795: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 796: @noindent
797: ChangeLog
798: @itemize @bullet
1.34 ohara 799: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 800: @end itemize
801:
1.34 ohara 802:
803: @node qt_set_coef,,, $B%/%*!<%H(B
804: @subsection @code{qt_set_coef}
805: @findex qt_set_coef
1.6 takayama 806:
807: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 808: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 809: @table @t
1.34 ohara 810: @item qt_set_coef(@var{ParamList})
811: :: $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
812: $BHs2D49B?9`<0$r07$&(B.
1.6 takayama 813: @end table
814:
815: @table @var
816: @item return
1.34 ohara 817: $B%j%9%H(B
818: @item ParamList
819: $B%j%9%H(B
1.6 takayama 820: @end table
821:
822: @itemize @bullet
1.34 ohara 823: @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
824: $BHs2D49B?9`<0$r07$&(B.
825: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
826: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
827: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 828: @end itemize
829:
830: @example
1.34 ohara 831: ctrl("print_quote",2);
832: qt_set_coef([a]);
833: B=qt_normalize(quote((a*x+a)^2),2);
834: $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
835: qt_normalize(B+B,2);
836: $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
1.6 takayama 837: @end example
838:
839: @table @t
840: @item $B;2>H(B
1.34 ohara 841: @ref{qt_normalize}
1.6 takayama 842: @end table
843:
844: @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
1.34 ohara 845: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 846: @noindent
847: ChangeLog
848: @itemize @bullet
1.34 ohara 849: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 850: @end itemize
851:
1.34 ohara 852:
853: @node qt_set_ord,,, $B%/%*!<%H(B
854: @subsection @code{qt_set_ord}
855: @findex qt_set_ord
1.6 takayama 856:
857: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 858: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 859: @table @t
1.34 ohara 860: @item qt_set_ord(@var{VarList})
861: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
1.6 takayama 862: @end table
863:
864: @table @var
865: @item return
1.34 ohara 866: $B%j%9%H(B
867: @item VarList
868: $B%j%9%H(B
1.6 takayama 869: @end table
870:
871: @itemize @bullet
1.34 ohara 872: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
873: @item $B$3$N@k8@$r$7$J$$$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.
874: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
875: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
876: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 877: @end itemize
878:
879: @example
1.34 ohara 880: ctrl("print_quote",2);
881: qt_normalize(quote(x+y),2);
882: $B=PNO(B: (x)+(y)
883: qt_set_ord([y,x]);
884: $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
885: qt_normalize(quote(x+y),2);
886: $B=PNO(B: (y)+(x)
1.6 takayama 887: @end example
888:
889: @table @t
890: @item $B;2>H(B
1.34 ohara 891: @ref{qt_normalize},
892: @ref{nqt_comp}
1.6 takayama 893: @end table
894:
895: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 896: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 897: @noindent
898: ChangeLog
899: @itemize @bullet
1.34 ohara 900: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 901: @end itemize
902:
1.8 takayama 903:
1.34 ohara 904: @node qt_set_weight,,, $B%/%*!<%H(B
905: @subsection @code{qt_set_weight}
906: @findex qt_set_weight
1.8 takayama 907:
1.34 ohara 908: @comment --- $B4X?t$N4JC1$J@bL@(B ---
909: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 910: @table @t
1.34 ohara 911: @item qt_set_weight(@var{WeightVector})
912: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
1.8 takayama 913: @end table
914:
915: @table @var
916: @item return
1.34 ohara 917: $B%j%9%H(B
918: @item WeightVector
919: $B%j%9%H(B
1.8 takayama 920: @end table
921:
1.34 ohara 922: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
923: @example
924: f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
925: $B$D$$$F$O$=$NCM(B.
926:
927: f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
928: w(f+g) = max(w(f),w(g))
929: w(f g) = w(f) + w(g)
930: w(f^n) = n w(f)
931: $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
932: @end example
933:
1.8 takayama 934: @itemize @bullet
1.34 ohara 935: @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
936: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
937: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
938: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
939: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
940: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
1.8 takayama 941: @end itemize
942:
943: @example
1.34 ohara 944: ctrl("print_quote",2);
945: qt_set_weight([[x,-1],[y,-1]]);
946: $B7k2L(B: [[x,-1],[y,-1]]
947: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
948: $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
1.8 takayama 949: @end example
950:
951: @table @t
952: @item $B;2>H(B
1.34 ohara 953: @ref{qt_normalize},
954: @ref{qt_set_ord},
955: @ref{qt_set_weight},
956: @ref{dp_gr_main}
1.8 takayama 957: @end table
958:
959: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
960: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
961: @noindent
962: ChangeLog
963: @itemize @bullet
1.34 ohara 964: @item -----$B$^$@=q$$$F$J$$(B.
1.8 takayama 965: @end itemize
966:
967:
1.34 ohara 968: @node nqt_comp,,, $B%/%*!<%H(B
969: @subsection @code{nqt_comp}
970: @findex nqt_comp
971:
972: @comment --- $B4X?t$N4JC1$J@bL@(B ---
973: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 974: @table @t
1.34 ohara 975: @item nqt_cmp(@var{Expr1},@var{Exprt2})
976: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
1.8 takayama 977: @end table
978:
979: @table @var
980: @item return
1.34 ohara 981: $B@0?t(B
982: @item Expr1, Expr2
983: quote$B7?(B
1.8 takayama 984: @end table
985:
986: @itemize @bullet
1.34 ohara 987: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
988: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
989: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
990: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
1.8 takayama 991: @end itemize
992:
993: @example
1.34 ohara 994: ctrl("print_quote",2);
995: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
996: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
997: $B=PNO(B: [-1,1,0]
1.8 takayama 998: @end example
999:
1000: @table @t
1001: @item $B;2>H(B
1.34 ohara 1002: @ref{qt_normalize},
1003: @ref{qt_set_ord},
1004: @ref{qt_set_weight}
1.8 takayama 1005: @end table
1006:
1007: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1008: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1009: @noindent
1010: ChangeLog
1011: @itemize @bullet
1.34 ohara 1012: @item $B$^$@=q$$$F$J$$(B.
1.8 takayama 1013: @end itemize
1.34 ohara 1014: @comment ****************************************************************
1.8 takayama 1015:
1.34 ohara 1016: @node qt_is_var,,, $B%/%*!<%H(B
1017: @subsection @code{qt_is_var}, @code{qt_is_coef}
1018: @findex qt_is_var
1019: @findex qt_is_coef
1.9 takayama 1020:
1021: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1022: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.9 takayama 1023: @table @t
1.34 ohara 1024: @item qt_is_var(@var{Expr})
1025: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1026: @item qt_is_coef(@var{Expr})
1027: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
1.9 takayama 1028: @end table
1029:
1030: @table @var
1031: @item return
1032: $B@0?t(B
1.34 ohara 1033: @item Expr
1034: quote$B7?(B
1.9 takayama 1035: @end table
1036:
1037: @itemize @bullet
1.34 ohara 1038: @item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1039: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
1.9 takayama 1040: @end itemize
1041:
1042: @example
1.34 ohara 1043: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
1044: $B=PNO(B: [1,0]
1.9 takayama 1045: @end example
1046:
1047: @table @t
1048: @item $B;2>H(B
1.34 ohara 1049: @ref{qt_rewrite},
1050: @ref{nqt_match_rewrite}
1.9 takayama 1051: @end table
1052:
1.34 ohara 1053: @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
1054: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.9 takayama 1055: @noindent
1056: ChangeLog
1057: @itemize @bullet
1.34 ohara 1058: @item -----$B$^$@=q$$$F$J$$(B.
1.9 takayama 1059: @end itemize
1.34 ohara 1060: @comment ****************************************************************
1.8 takayama 1061:
1.34 ohara 1062: @node qt_rewrite,,, $B%/%*!<%H(B
1063: @subsection @code{qt_rewrite}
1064: @findex qt_rewrite
1.12 takayama 1065:
1066: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1067: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.12 takayama 1068: @table @t
1.34 ohara 1069: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
1070: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1.12 takayama 1071: @end table
1072:
1073: @table @var
1074: @item return
1.34 ohara 1075: quote$B7?(B
1076: @item Expr
1077: quote$B7?(B
1078: @item Rules
1079: $B%j%9%H(B
1080: @item Mode
1.12 takayama 1081: $B@0?t(B
1082: @end table
1083:
1084: @itemize @bullet
1.34 ohara 1085: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
1086: @code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B.
1087: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
1088: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
1089: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1090: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
1091: $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
1092: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
1093: @var{Pattern} $B$HF1$8=q$-J}(B.
1094: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
1095: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
1096: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
1097: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
1098: $B$5$l$F$+$i?k9T$5$l$k(B.
1.12 takayama 1099: @end itemize
1100:
1.34 ohara 1101: $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
1102: $BM?$($k$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,
1103: $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
1104: @example
1105: import("noro_rewrite.rr");
1106: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
1107: qt_rewrite(`(x-y)^2,R,2);
1108: $B=PNO(B: quote(x*x+-2*x*y+y*y)
1109: @end example
1110:
1111: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1112: @example
1113: import("noro_rewrite.rr");
1114: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
1115: quote(-Y*X)];
1116: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
1117: Rext2=[quote(X*X),quote(0)];
1118: Rext=[Rext0,Rext1,Rext2];
1119: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
1120: $B=PNO(B: 2*x*y
1121:
1122: qt_set_coef([a,b,c,d]);
1123: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
1124: $B=PNO(B: (d*a-c*b)*x*y
1125:
1126: @end example
1127:
1128: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1.12 takayama 1129: @example
1.34 ohara 1130: import("noro_rewrite.rr");
1131: qt_set_coef([a,b]);
1132: Rd1=[`d(X+Y), `d(X)+d(Y)];
1133: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
1134: Rd3=[`d(N), `qt_is_coef(N), `0];
1135: Rd4=[`d(x),`1];
1136: Rd=[Rd1,Rd2,Rd3,Rd4];
1137: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
1138: $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
1139: fctr(eval_quote(B));
1140: $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
1.12 takayama 1141: @end example
1142:
1143: @table @t
1144: @item $B;2>H(B
1.34 ohara 1145: @ref{nqt_match},
1146: @ref{nqt_match_rewrite},
1147: @ref{qt_normalize}
1.12 takayama 1148: @end table
1149:
1150: @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
1.34 ohara 1151: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.12 takayama 1152: @noindent
1153: ChangeLog
1154: @itemize @bullet
1.34 ohara 1155: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
1156: $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
1157: qt $B7O$N4X?t$,3+H/$5$l$?(B.
1158: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
1159: OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
1160: OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
1161: @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.
1.13 takayama 1162: @end itemize
1163:
1.34 ohara 1164: @comment ****************************************************************
1165:
1166: @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
1167: @section $BJ8;zNs=hM}(B
1.13 takayama 1168:
1.34 ohara 1169: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
1170: @node copyright,,, $BJ8;zNs=hM}(B
1171: @subsection @code{copyright}
1172: @findex copyright
1.13 takayama 1173:
1174: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1175: @table @t
1.34 ohara 1176: @item copyright()
1177: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1178: @end table
1179:
1180: @table @var
1181: @item return
1.34 ohara 1182: $BJ8;zNs(B
1.13 takayama 1183: @end table
1184:
1185: @itemize @bullet
1186: @item
1.34 ohara 1187: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1188: @end itemize
1189:
1190: @example
1.34 ohara 1191: [1150] copyright();
1192: This is Risa/Asir, Version 20040312 (Kobe Distribution).
1193: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
1194: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
1195: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
1196: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
1197: H. Cohen and M. Olivier.
1.13 takayama 1198: @end example
1199:
1.34 ohara 1200: @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
1.13 takayama 1201: @noindent
1202: ChangeLog
1203: @itemize @bullet
1.34 ohara 1204: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
1205: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
1206: parse/glob.c 1.47.
1207: @end itemize
1208:
1209:
1210:
1211: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
1212: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1213: @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
1214: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
1215: @findex string_to_tb
1216: @findex tb_to_string
1217: @findex write_to_tb
1218:
1219: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1220: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1221: @table @t
1222: @item string_to_tb(@var{s})
1223: @itemx tb_to_string(@var{tb})
1224: @itemx write_to_tb(@var{s},@var{tb})
1225: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
1226: @end table
1227:
1228: @table @var
1229: @item return
1230: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
1231: @item s
1232: $BJ8;zNs(B
1233: @item tb
1234: $BJ8;zNs2DJQD9G[Ns7?(B
1235: @end table
1236:
1237: @itemize @bullet
1238: @item
1239: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
1240: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
1241: @item
1242: @code{tb_to_string_(@var{tb})} $B$O(B,
1243: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
1244: @item
1245: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
1246: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
1247: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
1248: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
1249: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
1250: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
1251: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
1252: $B%G!<%?9=B$$G$"$k(B.
1253: @end itemize
1254:
1255: @example
1256: [219] T=string_to_tb("");
1257:
1258: [220] write_to_tb("Hello",T);
1259: 0
1260: [221] write_to_tb(" world!",T);
1261: 0
1262: [222] tb_to_string(T);
1263: Hello world!
1264: @end example
1265:
1266:
1267: @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
1268: @noindent
1269: ChangeLog
1270: @itemize @bullet
1271: @item
1272: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
1273: @item
1274: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1275: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
1276: engine/str.c 1.5, parse/quote.c 1.9.
1.13 takayama 1277: @item
1.34 ohara 1278: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
1279: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.14 takayama 1280: @end itemize
1281:
1.34 ohara 1282:
1283: @node set_print_function,,, $BJ8;zNs=hM}(B
1284: @subsection @code{set_print_function}
1285: @findex set_print_function
1.14 takayama 1286:
1287: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1288: @table @t
1.34 ohara 1289: @item set_print_function([@var{fname}])
1290: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
1.14 takayama 1291: @end table
1292:
1293: @table @var
1294: @item return
1.34 ohara 1295: $B@0?t(B
1296: @item fname
1297: $BJ8;zNs(B
1.14 takayama 1298: @end table
1299:
1300: @itemize @bullet
1.34 ohara 1301: @item
1302: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1303: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1304: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1.14 takayama 1305: @end itemize
1306:
1307: @example
1.34 ohara 1308: [219] def my_output(F) @{
1309: print("Out: ",0); print(rtostr(F));
1310: @}
1311: [220] set_print_function("my_output");
1312: Out: 0
1313: [221] 1+2;
1314: Out: 3
1.14 takayama 1315: @end example
1316:
1317: @table @t
1318: @item $B;2>H(B
1.34 ohara 1319: @ref{rtostr}
1.14 takayama 1320: @end table
1321:
1322: @noindent
1323: ChangeLog
1324: @itemize @bullet
1.34 ohara 1325: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1326: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1.12 takayama 1327: @end itemize
1.13 takayama 1328:
1.15 takayama 1329:
1.34 ohara 1330: @node sprintf,,, $BJ8;zNs=hM}(B
1.28 ohara 1331: @subsection @code{printf}, @code{fprintf}, @code{sprintf}
1.15 takayama 1332: @findex sprintf
1333:
1334: @table @t
1.27 ohara 1335: @item printf(@var{format}[,@var{args}])
1.28 ohara 1336: @item fprintf(@var{fd},@var{format}[,@var{args}])
1.15 takayama 1337: @item sprintf(@var{format}[,@var{args}])
1338: :: C $B$K;w$?%W%j%s%H4X?t(B
1339: @end table
1340:
1341: @table @var
1342: @item return
1.28 ohara 1343: $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
1.15 takayama 1344: @item format
1345: $BJ8;zNs(B
1.28 ohara 1346: @item fd
1347: $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
1.15 takayama 1348: @item args
1349: $B%*%V%8%'%/%H(B
1350: @end table
1351:
1352: @itemize @bullet
1353: @item
1.27 ohara 1354: @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
1.15 takayama 1355: @item
1.28 ohara 1356: @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.
1357: @item
1.27 ohara 1358: @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
1359: @item
1360: $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
1361: @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1.28 ohara 1362: @item
1363: $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
1.15 takayama 1364: @end itemize
1365:
1366: @example
1.27 ohara 1367: [0] printf("%a: rat = %a\n",10,x^2-1)$
1368: 10: rat = x^2-1
1369: [1] S=sprintf("%a: rat = %a",20,x^2-1)$
1370: [2] S;
1371: 20: rat = x^2-1
1.28 ohara 1372: [3] Fd=open_file("hoge.txt","w");
1373: 0
1374: [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
1375: [5] close_file(Fd)$
1376: [6] quit;
1377:
1378: $ cat hoge.txt
1379: Poly=x^3-3*x^2+3*x-1
1.15 takayama 1380: @end example
1381:
1382: @table @t
1383: @item $B;2>H(B
1.28 ohara 1384: @ref{rtostr},@ref{open_file},@ref{close_file}
1.15 takayama 1385: @end table
1386:
1387: @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
1388: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1389: @noindent
1390: ChangeLog
1391: @itemize @bullet
1.34 ohara 1392: @item
1.27 ohara 1393: $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1.15 takayama 1394: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
1.34 ohara 1395: @item
1.27 ohara 1396: $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
1397: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
1.34 ohara 1398: @item
1.28 ohara 1399: $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
1400: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
1.34 ohara 1401: @item
1.15 takayama 1402: @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
1403: @end itemize
1404:
1405:
1.34 ohara 1406: @node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B
1407: @section $B%0%l%V%J!<4pDl(B
1408:
1409: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1410: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1411: @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
1412: @subsection @code{dp_gr_main}
1413: @findex dp_gr_main
1.15 takayama 1414:
1.34 ohara 1415: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1416: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.15 takayama 1417: @table @t
1.34 ohara 1418: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
1419: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
1.15 takayama 1420: @end table
1421:
1422: @table @var
1423: @item return
1.34 ohara 1424: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1.15 takayama 1425: @item f
1.34 ohara 1426: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1427: @item vv
1428: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1429: @item oo
1430: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1431: @item n
1432: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
1433: @item m
1434: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
1435: @item b
1436: ???
1437: @item sw
1438: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.15 takayama 1439: @end table
1440:
1441: @itemize @bullet
1442: @item
1.34 ohara 1443: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1444: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1445: $B7OE}$@$C$F$$$J$+$C$?(B.
1446: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1447: @comment ~taka/this03/misc-2003/A2/dp
1448: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B. @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1449: @example
1450: order : '[' orderElement @{ ',' orderElement @} ']'
1451: orderElement : weightVec | builtinOrder
1452: weightVec : '[' weightElement @{ ',' weightElement @} ']'
1453: builtiniOrder : '[' orderName ',' setOfVariables ']'
1454: weightElement : NUMBER | setOfVariables ',' NUMBER
1455: setOfVariables: V | range(V,V)
1456: orderName : @@grlex | @@glex | @@lex
1457: @end example
1458: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
1459: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
1460: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
1461: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
1462: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1463: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
1464: M.Saito, B.Sturmfels, N.Takayama:
1465: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
1466: @item
1467: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
1468: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
1469: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
1470: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
1471: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
1472: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
1473: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
1474: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1475: @item
1476: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
1.15 takayama 1477: @item
1.34 ohara 1478: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
1479: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.15 takayama 1480: @item
1.34 ohara 1481: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
1482: $B2<$NNc$r;2>H(B.
1.15 takayama 1483: @end itemize
1484:
1485: @example
1.34 ohara 1486: [218] load("cyclic");
1487: [219] V=vars(cyclic(4));
1488: [c0,c1,c2,c3]
1489: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
1490: [ 10 1 0 0 ]
1491: [ 0 0 5 0 ]
1492: [ R R R R ]
1493: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
1494: (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,
1495: c0+c1+c2+c3]
1.15 takayama 1496:
1.34 ohara 1497: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
1498: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
1499: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
1500: [ 1 1 1 1 0 ]
1501: [ R R R R R ]
1502: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.15 takayama 1503:
1.34 ohara 1504: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
1505: [[v,[x,y]],[order,[[x,5,y,1]]]]
1506: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
1507: [ 5 1 ]
1508: [ R R ]
1509: [-y^4+y^2-1,x+y^3-y]
1510: @end example
1.15 takayama 1511:
1.34 ohara 1512: @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
1513: @noindent
1514: ChangeLog
1515: @itemize @bullet
1516: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
1517: @item
1518: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
1519: @item
1520: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1521: $B7OE}$@$C$F$$$J$+$C$?(B.
1522: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1523: @item
1524: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1525: builtin/gr.c 1.56--1.57,
1526: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
1527: builtin/dp.c 1.46--1.48 (parse_gr_option),
1528: engine/Fgfs.c 1.20,
1529: engine/dist.c 1.27--1.28
1530: engine/nd.c 1.89,
1531: include/ca.h 1.42--1.43,
1532: io/pexpr.c 1.28,
1533: io/sexpr.c 1.26,
1534: parse/arith.c 1.11,
1535: parse/glob.c 1.44-1.45,
1536: parse/lex.c 1.29,
1537: parse/parse.h 1.23--1.26
1538: @item
1539: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
1540: attribute, ring $B9=B$BN(B.
1541: @end itemize
1542:
1543: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1544: @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
1545: @subsection @code{dp_weyl_gr_main}
1546: @findex dp_weyl_gr_main
1547:
1548: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1549: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1550: @table @t
1551: @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})
1552: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
1553: @end table
1.15 takayama 1554:
1.34 ohara 1555: @table @var
1556: @item return
1557: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1558: @item f
1559: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1560: @item vv
1561: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1562: @item oo
1563: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1564: @item n
1565: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
1566: @item m
1567: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
1568: @item b
1569: ???
1570: @item sw
1571: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
1572: @end table
1.15 takayama 1573:
1.34 ohara 1574: @itemize @bullet
1575: @item
1576: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1577: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1578: $B7OE}$@$C$F$$$J$+$C$?(B.
1579: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1580: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
1581: @item
1582: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
1583: K[x_1, ..., x_n, d_1, ..., d_n]
1584: $B$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
1585: 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.
1586: $B$^$?(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.
1587: @item
1588: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
1589: K[x_1, ..., x_n, d_1, ..., d_n, h]
1590: $B$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
1591: d_i x_i = x_i d_i + h^2
1592: $B$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.
1593: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
1594: @end itemize
1.15 takayama 1595:
1596: @example
1.34 ohara 1597: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
1598: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
1599: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1600: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1601: ...
1602: [1238] FF=map(dp_ptod,F[0],V);
1603: [(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]
1604:
1605: [1244] FF=map(dp_ptod,F[0],V);
1606: [(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>>]
1607:
1608: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
1609:
1610: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1611: [ 0 0 0 0 1 1 1 1 ]
1612: [ R R R R R R R R ]
1613: ...
1614:
1.15 takayama 1615: @end example
1616:
1.34 ohara 1617: @table @t
1618: @item $B;2>H(B
1619: @ref{dp_gr_main}
1620: @end table
1621:
1622: @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
1623: @noindent
1624: ChangeLog
1625: @itemize @bullet
1626: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
1627: @item
1628: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1629: builtin/dp-supp.c 1.32--1.33
1630: builtin/dp.c 1.49--1.50
1631: @end itemize
1632:
1633: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
1634: @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
1635: @subsection @code{dp_initial_term}
1636: @findex dp_initial_term
1637:
1638: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1639: @table @t
1640: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
1641: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1642: @end table
1643:
1644: @table @var
1645: @item return
1646: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
1647: @item f
1648: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1649: @item vv
1650: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1651: @item oo
1652: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1653: @end table
1654:
1655: @itemize @bullet
1656: @item
1657: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1658: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
1659: $B$H=q$+$l$F$$$k(B.
1660: @item
1661: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1662: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1663: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1664: @item
1665: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
1666: @end itemize
1667:
1.19 takayama 1668: @example
1.34 ohara 1669: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1670: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1671: [1220] dp_initial_term(F | order=[[1,1,1]]);
1672: [ 1 1 1 ]
1673: [ R R R ]
1674: (1)*<<2,0,0>>+(1)*<<1,1,0>>
1675: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
1676: [ 1 0 0 ]
1677: [ R R R ]
1678: (1)*<<2,0,0>>
1.19 takayama 1679: @end example
1680:
1.15 takayama 1681: @table @t
1682: @item $B;2>H(B
1.34 ohara 1683: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
1.15 takayama 1684: @end table
1685:
1.34 ohara 1686: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.15 takayama 1687: @noindent
1688: ChangeLog
1689: @itemize @bullet
1.34 ohara 1690: @item
1691: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1692: builtin/dp-supp.c 1.32
1693: builtin/dp.c 1.49
1.17 takayama 1694: @end itemize
1695:
1.34 ohara 1696: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
1697: @node dp_order,,, $B%0%l%V%J!<4pDl(B
1698: @subsection @code{dp_order}
1699: @findex dp_order
1.17 takayama 1700:
1701: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1702: @table @t
1.34 ohara 1703: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
1704: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1.17 takayama 1705: @end table
1706:
1707: @table @var
1708: @item return
1.34 ohara 1709: $B?t$+?t$N%j%9%H(B
1710: @item f
1711: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1712: @item vv
1713: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1714: @item oo
1715: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1.17 takayama 1716: @end table
1717:
1718: @itemize @bullet
1719: @item
1.34 ohara 1720: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1721: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1722: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1723: @item
1724: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1725: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
1726: $B$H=q$/O@J8$d652J=q$b$"$k(B.
1.17 takayama 1727: @item
1.34 ohara 1728: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
1.17 takayama 1729: @end itemize
1730:
1731: @example
1.34 ohara 1732: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1733: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1734: [1222] dp_order(F | order=[[1,1,1]]);
1735: [ 1 1 1 ]
1736: [ R R R ]
1737: 2
1738: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
1739: [ 1 0 0 ]
1740: [ R R R ]
1.17 takayama 1741: @end example
1742:
1743: @table @t
1744: @item $B;2>H(B
1.34 ohara 1745: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
1.17 takayama 1746: @end table
1747:
1.34 ohara 1748: @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
1.17 takayama 1749: @noindent
1750: ChangeLog
1751: @itemize @bullet
1752: @item
1.34 ohara 1753: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1754: builtin/dp-supp.c 1.32
1755: builtin/dp.c 1.49
1.15 takayama 1756: @end itemize
1.21 takayama 1757:
1758:
1.34 ohara 1759: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
1760: @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
1761: @findex nd_gr (module)
1762: @findex nd_gr_trace (module)
1763: @findex nd_weyl_gr (module)
1764: @findex nd_weyl_gr_trace (module)
1.21 takayama 1765:
1.34 ohara 1766: @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
1.21 takayama 1767: @table @t
1.34 ohara 1768: @item nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
1769: @itemx nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1770: @item nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
1771: @itemx nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1772: :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
1.21 takayama 1773: @end table
1774:
1.34 ohara 1775: @table @var
1776: @item gen
1777: $B%j%9%H$N%j%9%H(B
1778: @item ord
1779: @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
1780: @item return
1781: $B%j%9%H$N%j%9%H(B
1782: @end table
1.21 takayama 1783:
1784: @itemize @bullet
1.34 ohara 1785: @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
1786: $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
1787: $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
1788: @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
1789: $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
1790: $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
1791: @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
1792: $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
1793: $B$G9T$&(B.
1794: @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.
1.21 takayama 1795: @end itemize
1796:
1.34 ohara 1797: @example
1798: [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
1799: [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
1800: [1] nd_gr(Gen,[x,y,z],0,[0,0]);
1801: [[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,
1802: -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
1803: +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
1804: @end example
1805:
1806: @table @t
1807: @item $B;2>H(B
1808: @ref{nd_gr}, @ref{nd_gr_trace}
1809: @end table
1810:
1811: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B
1812: @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
1813: @findex nd_gr (option)
1814: @findex nd_gr_trace (option)
1815: @findex nd_weyl_gr (option)
1816: @findex nd_weyl_gr_trace (option)
1817:
1818: @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
1819:
1820: @table @t
1821: @item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1822: @itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1823: @itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1824: @itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1825: :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
1826: @end table
1827:
1828: @table @var
1829: @item opt
1830: @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
1831: @item return
1832: $B%*%W%7%g%s$K$h$j0[$J$k(B
1833: @end table
1834:
1835: @itemize @bullet
1836: @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
1837: @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
1838:
1839: @table @var
1840: @item gentrace
1841: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
1.45 takayama 1842: @item gensyz
1.34 ohara 1843: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
1844: @item nora
1845: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
1846: @end table
1847:
1848: @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
1849: @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
1850: $B<!$NDL$j$G$"$k(B.
1851: @table @var
1852: @item GB
1853: $B%0%l%V%J!<4pDl(B
1854: @item Homo
1855: $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
1856: @item Trace
1857: $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
1858: @item IntRed
1859: $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
1860: @item Ind
1861: $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
1862: @item InputRed
1863: $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1864: (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1865: @item SpairTrace
1866: $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1867: (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1868: @end table
1869: @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
1870: $B4X?t$N9`$G@bL@$9$kM=Dj(B.
1871: @end itemize
1.21 takayama 1872:
1873: @example
1.34 ohara 1874: [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
1875: [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
1876: [2] D[0];
1877: [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
1878: [3] D[2];
1879: [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
1880: [4] D[6];
1881: [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
1882: @end example
1.21 takayama 1883:
1.34 ohara 1884: @table @t
1885: @item $B;2>H(B
1886: @ref{nd_gr}, @ref{nd_gr_trace}
1887: @end table
1.21 takayama 1888:
1889:
1.34 ohara 1890: @node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B
1891: @section $B%7%9%F%`(B
1.21 takayama 1892:
1.34 ohara 1893: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1894: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1895: @node asir-install.sh,,, $B%7%9%F%`(B
1896: @subsection @code{asir-port.sh}, @code{asir-install.sh}
1897: @findex asir-port.sh
1898: @findex asir-install.sh
1.23 takayama 1899:
1900: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1901: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1902: @table @t
1.34 ohara 1903: @item asir-install.sh
1904: @itemx asir-port.sh
1905: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
1.23 takayama 1906: @end table
1907:
1908:
1909: @itemize @bullet
1.34 ohara 1910: @item
1911: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1912: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1913: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
1914: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
1915: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
1916: @item
1917: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
1918: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
1919: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
1.23 takayama 1920: @end itemize
1921:
1922:
1923: @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
1924: @noindent
1925: ChangeLog
1926: @itemize @bullet
1.34 ohara 1927: @item
1928: $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.
1929: @item
1930: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1931: @item
1932: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
1933: 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
1934: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
1935: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
1.23 takayama 1936: @end itemize
1937:
1938:
1.34 ohara 1939: @node asirgui.hnd,,, $B%7%9%F%`(B
1940: @subsection @code{asirgui.hnd}
1941: @findex asirgui.hnd
1.23 takayama 1942:
1943: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1944: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1945: @table @t
1.34 ohara 1946: @item asirguid.hnd
1947: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
1.23 takayama 1948: @end table
1949:
1.34 ohara 1950: @comment ****************************************************************
1.23 takayama 1951:
1952: @itemize @bullet
1.34 ohara 1953: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
1.35 takayama 1954: @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$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.
1.34 ohara 1955: @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.
1.37 takayama 1956: @item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$k(B. winfep $B$G$O$"$i$+$8$a%U%!%$%k$KF~NO%9%/%j%W%H$r=q$$$F$*$$$F(B, asirgui $B$G0l9T$E$D<B9T$5$;$k$3$H$,$G$-$k(B. winfep $B$O%W%l%<%s%F!<%7%g%sMQ$N%=%U%H%&%(%"$G$"$k(B. $B$3$l$O(B asirgui.hnd $B$rMxMQ$7$F$$$k(B.
1.23 takayama 1957: @end itemize
1958:
1959: @example
1.34 ohara 1960: // cl test.c user32.lib
1961:
1962: #include <windows.h>
1963: #include <stdlib.h>
1964: #include <stdio.h>
1965: #include <process.h>
1966:
1967: int main()
1968: @{
1969:
1970: HWND hnd;
1971: FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
1972: fscanf(fp,"%d",&hnd);
1973: fclose(fp);
1974: while (1) @{
1975: int c;
1976: c = getchar();
1977: if ( c == '#' ) break;
1978: PostMessage(hnd,WM_CHAR,c,1);
1979: @}
1980: return 0;
1981: @}
1.23 takayama 1982: @end example
1983:
1984: @table @t
1985: @item $B;2>H(B
1.34 ohara 1986: @ref{xyz_abc}
1.23 takayama 1987: @end table
1988:
1989: @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
1990: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1991: @noindent
1992: ChangeLog
1993: @itemize @bullet
1.34 ohara 1994: @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
1995: @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
1996: @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6
1.37 takayama 1997: @item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B.
1998: @item @code{OpenXM_contrib2/windows/winfep} 1.1
1.23 takayama 1999: @end itemize
2000:
2001:
1.34 ohara 2002: @comment ****************************************************************
2003:
2004: @node chdir,,, $B%7%9%F%`(B
2005: @subsection @code{chdir}, @code{pwd}
2006: @findex chdir
2007: @findex pwd
1.23 takayama 2008:
1.34 ohara 2009: @comment --- $B%G%#%l%/%H%jA`:n(B ---
1.23 takayama 2010: @table @t
1.34 ohara 2011: @item chdir(@var{directory})
2012: @item pwd()
2013: :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
1.23 takayama 2014: @end table
2015:
2016: @table @var
2017: @item return
1.34 ohara 2018: $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
2019: @item dirctory
2020: $BJ8;zNs(B
1.23 takayama 2021: @end table
2022:
2023: @itemize @bullet
1.34 ohara 2024: @item
2025: @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
2026: @item
2027: @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.
2028: @item
2029: $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B.
1.23 takayama 2030: @end itemize
2031:
2032: @example
1.34 ohara 2033: [0] S=pwd();
2034: /home/ohara
2035: [1] chdir(".../taka");
2036: -1
2037: [2] chdir("/usr/bin");
2038: 0
1.23 takayama 2039: @end example
2040:
2041: @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
2042: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2043: @noindent
2044: ChangeLog
2045: @itemize @bullet
1.34 ohara 2046: @item
2047: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
2048: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
1.23 takayama 2049: @end itemize
2050:
2051:
1.34 ohara 2052: @node dcurrenttime,,, $B%7%9%F%`(B
2053: @subsection @code{dcurrenttime}
2054: @findex dcurrenttime
1.23 takayama 2055:
1.34 ohara 2056: @comment --- $B8=:_;~9o$r<hF@(B ---
1.23 takayama 2057: @table @t
1.34 ohara 2058: @item dcurrenttime()
2059: :: $B8=:_;~9o$r<hF@(B.
1.23 takayama 2060: @end table
2061:
1.34 ohara 2062: @table @var
2063: @item return
2064: $BIbF0>.?tE@?t(B
2065: @end table
1.23 takayama 2066:
2067: @itemize @bullet
1.34 ohara 2068: @item
2069: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
1.23 takayama 2070: @end itemize
2071:
2072: @example
1.34 ohara 2073: [0] ctrl("real_digit", 16);
2074: 16
2075: [1] dcurrenttime();
2076: 1226390851.34476
2077: [2] currenttime();
2078: 1226390854
1.23 takayama 2079: @end example
2080:
2081: @table @t
2082: @item $B;2>H(B
1.34 ohara 2083: @ref{currenttime}
1.23 takayama 2084: @end table
2085:
2086: @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
2087: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2088: @noindent
2089: ChangeLog
2090: @itemize @bullet
1.34 ohara 2091: @item
2092: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
2093: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
1.23 takayama 2094: @end itemize
2095:
2096:
1.34 ohara 2097: @comment ****************************************************************
2098:
2099:
2100: @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
2101: @section $B8@8l(B
2102:
2103: @node get_struct_name,,, $B8@8l(B
2104: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
2105: @findex get_struct_name
2106: @findex get_element_names
2107: @findex get_element_at
2108: @findex put_element_at
1.23 takayama 2109:
2110: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2111: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2112: @table @t
1.34 ohara 2113: @item get_struct_name(@var{s})
2114: @itemx get_element_names(@var{s})
2115: @itemx get_element_at(@var{s},@var{key})
2116: @itemx put_element_at(@var{s},@var{key},@var{obj})
2117: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
1.23 takayama 2118: @end table
2119:
2120: @table @var
2121: @item return
1.34 ohara 2122: $BJ8;zNs(B (get_struct_name),
2123: $BJ8;zNs$N%j%9%H(B (get_element_names),
2124: $B%*%V%8%'%/%H(B (get_element_at),
2125: $B%*%V%8%'%/%H(B (put_element_at)
2126: @item s
2127: $B9=B$BN(B
2128: @item key
2129: $BJ8;zNs(B
2130: @item obj
2131: $B%*%V%8%'%/%H(B
1.23 takayama 2132: @end table
2133:
2134: @itemize @bullet
1.34 ohara 2135: @item
2136: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
2137: @item
2138: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
2139: @item
2140: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
2141: @item
2142: @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.
1.23 takayama 2143: @end itemize
2144:
2145: @example
1.34 ohara 2146: [219] struct point @{ x, y, color@};
2147: [220] P = newstruct(point);
2148: @{0,0,0@}
2149: [221] P->x = 10$ P->y=5$ P->color="red"$
2150: [222] get_element_names(P);
2151: [x,y,color]
2152: [223] put_element_at(P,"color","blue");
2153: blue
2154: [224] P->color;
2155: bule
1.23 takayama 2156: @end example
2157:
2158: @table @t
2159: @item $B;2>H(B
1.34 ohara 2160: @ref{newstruct}, @ref{struct}
1.23 takayama 2161: @end table
2162:
2163: @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
2164: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2165: @noindent
2166: ChangeLog
2167: @itemize @bullet
1.34 ohara 2168: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
2169: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
2170: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
1.23 takayama 2171: @end itemize
2172:
2173:
1.34 ohara 2174: @comment mapat
2175: @node mapat,,, $B8@8l(B
2176: @subsection @code{mapat}
2177: @findex mapat
1.23 takayama 2178:
2179: @table @t
1.34 ohara 2180: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
2181: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
1.23 takayama 2182: @end table
2183:
2184: @table @var
2185: @item return
1.34 ohara 2186: $B%*%V%8%'%/%H(B
2187: @item pos
2188: $B@0?t(B
2189: @item arg0, arg1, arg2, ...
2190: $B%*%V%8%'%/%H(B
1.23 takayama 2191: @end table
2192:
2193: @itemize @bullet
1.34 ohara 2194: @item
2195: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
2196: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
2197: @item
2198: @code{mapat(fname,0,A0,A1,...)} $B$O(B
2199: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
2200: @item
2201: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
1.23 takayama 2202: @end itemize
2203:
2204: @example
1.34 ohara 2205: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
2206: [2,3]
2207: [220] mapat(subst,1,x+y+z,[x,y,z],2);
2208: [y+z+2,x+z+2,x+y+2]
1.23 takayama 2209: @end example
2210:
2211: @table @t
2212: @item $B;2>H(B
1.34 ohara 2213: @ref{map}
1.23 takayama 2214: @end table
2215:
2216: @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
2217: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2218: @noindent
2219: ChangeLog
2220: @itemize @bullet
1.34 ohara 2221: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2222: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
1.23 takayama 2223: @end itemize
2224:
1.34 ohara 2225: @comment list
2226: @node list,,, $B8@8l(B
2227: @subsection @code{list}
2228: @findex list
1.23 takayama 2229:
2230: @table @t
1.34 ohara 2231: @item list([@var{arg0}, @var{arg1}, ...])
2232: :: list $B$r@8@.$9$k(B.
1.23 takayama 2233: @end table
2234:
2235: @table @var
2236: @item return
2237: $B%j%9%H(B
1.34 ohara 2238: @item arg0, arg1, arg2, ...
2239: $B%*%V%8%'%/%H(B
1.23 takayama 2240: @end table
2241:
1.34 ohara 2242: @itemize @bullet
2243: @item
2244: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
1.23 takayama 2245: @end itemize
2246:
2247: @example
1.34 ohara 2248: [219] list(1,2,3);
2249: [1,2,3]
2250: [220] list(1,2,[3,4]);
2251: [1,2,[3,4]]
1.23 takayama 2252: @end example
2253:
2254: @table @t
2255: @item $B;2>H(B
1.34 ohara 2256: @ref{cons}
1.23 takayama 2257: @end table
2258:
2259: @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
2260: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2261: @noindent
2262: ChangeLog
2263: @itemize @bullet
1.34 ohara 2264: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2265: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1.23 takayama 2266: @end itemize
2267:
2268:
1.34 ohara 2269: @node assoc,,, $B8@8l(B
2270: @subsection @code{assoc}
2271: @findex assoc
1.23 takayama 2272:
2273: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2274: @table @t
1.34 ohara 2275: @item assoc(@var{a},@var{b})
2276: :: $BO"A[%j%9%H$r$D$/$k(B
1.23 takayama 2277: @end table
2278:
2279: @table @var
2280: @item return
1.34 ohara 2281: List
2282: @item a
2283: List
2284: @item b
2285: List
1.23 takayama 2286: @end table
2287:
2288: @itemize @bullet
1.34 ohara 2289: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
2290: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
2291: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1.23 takayama 2292: @end itemize
2293:
1.34 ohara 2294: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
2295: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
2296: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
2297:
1.23 takayama 2298: @example
1.34 ohara 2299: [1192] A=["dog","cat","snake"];
2300: [dog,cat,snake]
2301: [1193] B=[4,4,0];
2302: [4,4,0]
2303: [1194] assoc(A,B);
2304: [[dog,4],[cat,4],[snake,0]]
1.23 takayama 2305: @end example
2306:
2307: @table @t
2308: @item $B;2>H(B
1.34 ohara 2309: @ref{cons}, @ref{append}
1.23 takayama 2310: @end table
2311:
2312: @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
2313: @noindent
2314: ChangeLog
2315: @itemize @bullet
1.34 ohara 2316: @item
2317: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
2318: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
2319: builtin/list.c 1.9
2320: parse/eval.c 1.35,
2321: parse/parse.h 1.31,
2322: parse/quote.c 1.14--1.16.
1.23 takayama 2323: @end itemize
2324:
1.34 ohara 2325:
2326: @node set_secure_flag,,, $B8@8l(B
2327: @subsection @code{set_secure_flag}, @code{set_secure_mode}
2328: @findex set_secure_flag
2329: @findex set_secure_mode
1.23 takayama 2330:
2331: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2332: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2333: @table @t
1.34 ohara 2334: @item set_secure_flag(@var{fname},@var{m})
2335: @itemx set_secure_mode(@var{m})
2336: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1.23 takayama 2337: @end table
2338:
2339: @table @var
2340: @item return
2341: $B@0?t(B
1.34 ohara 2342: @item fname
2343: $BJ8;zNs(B
2344: @item m
2345: $B@0?t(B
1.23 takayama 2346: @end table
2347:
2348: @itemize @bullet
1.34 ohara 2349: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
2350: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2351: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2352: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2353: $B4X?t$7$+<B9T$G$-$J$$(B.
2354: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2355: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2356: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
2357: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
2358: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
2359: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
2360: @item
2361: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
2362: $B$K$9$k(B.
2363: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
2364: @item
2365: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
2366: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
2367: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
2368: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
2369: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
2370: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.23 takayama 2371: @end itemize
2372:
2373: @example
1.34 ohara 2374: [1194] set_secure_flag("print_input_form_",1);
2375: 1
2376: [1195] set_secure_flag("fctr",1);
2377: 1
2378: [220] set_secure_mode(1);
2379: 1
2380: [1197] fctr((x-1)^3);
2381: [[1,1],[x-1,3]]
2382: [1198] fctr(shell("ls"));
2383: evalf : shell not permitted
2384: return to toplevel
1.23 takayama 2385: @end example
2386:
2387: @table @t
2388: @item $B;2>H(B
1.34 ohara 2389: @ref{timer}
1.23 takayama 2390: @end table
2391:
2392: @noindent
2393: ChangeLog
2394: @itemize @bullet
1.34 ohara 2395: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
2396: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2397: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
2398: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2399: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2400: $B4X?t$7$+<B9T$G$-$J$$(B.
2401: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2402: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2403: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
2404: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
2405: $BMxMQ$9$k(B.
2406: cgi-asir.sh $B$G$O(B
2407: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
2408: @item
2409: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
2410: @item
2411: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
2412: @item
2413: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
2414: @item
2415: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.23 takayama 2416: @end itemize
2417:
1.34 ohara 2418: @node initialize_static_variable,,, $B8@8l(B
2419: @subsection @code{initialize_static_variable}
2420: @findex initialize_static_variable
2421:
1.23 takayama 2422:
1.34 ohara 2423: @comment --- $B@bL@(B ---
1.23 takayama 2424: @table @t
1.34 ohara 2425: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.23 takayama 2426: @end table
2427:
2428:
2429: @itemize @bullet
1.34 ohara 2430: @item static $BJQ?t$N<h07(B.
2431: $B2<$NNc$r;2>H$N$3$H(B.
1.23 takayama 2432: @end itemize
2433:
1.34 ohara 2434:
1.23 takayama 2435: @example
1.34 ohara 2436: if (1) @{
2437: module abc;
2438: static A;
2439: A=1;
2440: endmodule;
2441: @} else @{ @};
1.23 takayama 2442:
1.34 ohara 2443: end$
2444: $B$r(B t.rr $B$H$9$k$H$-(B,
1.23 takayama 2445:
1.34 ohara 2446: [6] load("./t.rr");
2447: 1
2448: internal error (SEGV)
2449: $B$H$J$k(B.
1.23 takayama 2450:
1.34 ohara 2451: t.rr $B$r(B
2452: if (1) @{
2453: module abc;
2454: static A;
2455: localf initA;
2456: localf foo;
2457: def initA() @{
2458: A=1;
2459: @}
2460: initA();
2461: def foo() @{
2462: return A;
2463: @}
2464: endmodule;
2465: @} else @{ @};
1.23 takayama 2466:
1.34 ohara 2467: end$
2468: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1.23 takayama 2469: @end example
2470:
1.34 ohara 2471: @comment --- ChangeLog
1.23 takayama 2472: @noindent
2473: ChangeLog
2474: @itemize @bullet
1.34 ohara 2475: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
2476: @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.
2477: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1.23 takayama 2478: @end itemize
1.34 ohara 2479:
1.23 takayama 2480: @comment ****************************************************************
1.13 takayama 2481:
1.34 ohara 2482: @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
2483: @section $B?tO@!&Be?t(B
2484:
1.24 takayama 2485:
1.34 ohara 2486: @node small_jacobi,,, $B?tO@!&Be?t(B
2487: @subsection @code{small_jacobi}
2488: @findex small_jacobi
1.24 takayama 2489:
2490: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2491: @table @t
1.34 ohara 2492: @item small_jacobi(@var{a},@var{m})
2493: :: Jacobi $B5-9f$N7W;;(B
1.24 takayama 2494: @end table
2495:
1.34 ohara 2496: @table @var
2497: @item return
2498: $B@0?t(B
2499: @item arg1, arg2
2500: $B@0?t(B
2501: @end table
1.24 takayama 2502:
2503: @itemize @bullet
1.34 ohara 2504: @item
2505: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
2506: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
2507: @item
2508: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
2509: @item
2510: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1.24 takayama 2511: @end itemize
2512:
2513: @example
1.34 ohara 2514: [1286] small_jacobi(2,3);
2515: -1
2516: [1287] small_jacobi(2,7);
2517: 1
1.24 takayama 2518: @end example
2519:
2520: @table @t
2521: @item $B;2>H(B
1.34 ohara 2522: http://members.jcom.home.ne.jp/yokolabo/asirlib/
2523: $B$b8+$F$M(B.
1.24 takayama 2524: @end table
2525:
2526: @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
2527: @noindent
2528: ChangeLog
2529: @itemize @bullet
1.34 ohara 2530: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1.24 takayama 2531: @end itemize
2532:
1.34 ohara 2533:
2534: @node noro_matrix.rr,,, $B?tO@!&Be?t(B
1.25 takayama 2535: @subsection @code{noro_matrix.rr}
2536: @findex noro_matrix.rr
2537:
2538: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2539: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2540: @table @t
2541: @item linalg.unit_mat(@var{arg1})
2542: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
2543: @item linalg.minipoly_mat(@var{arg1})
2544: @item linalg.compute_kernel(@var{arg1})
2545: @item linalg.compute_image(@var{arg1})
2546: @item linalg.jordan_canonical_form(@var{arg1})
2547: @end table
2548:
2549:
2550: @itemize @bullet
2551: @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.
2552: @end itemize
2553:
2554: @example
2555: load("noro_matrix.rr");
2556: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
2557: B=linalg.jordan_canonical_form(A);
2558: @end example
2559:
2560: @table @t
2561: @item $B;2>H(B
2562: @ref{invmat}
2563: @end table
2564:
2565: @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
2566: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2567: @noindent
2568: ChangeLog
2569: @itemize @bullet
2570: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
2571: @item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
2572: @end itemize
2573:
2574:
1.34 ohara 2575: @node f_res,,, $B?tO@!&Be?t(B
1.26 takayama 2576: @subsection @code{f_res}
2577: @findex f_res
1.25 takayama 2578:
2579: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2580: @table @t
1.26 takayama 2581: @item f_res
1.25 takayama 2582: @end table
2583:
2584:
2585: @itemize @bullet
1.26 takayama 2586: @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 2587: @end itemize
2588:
2589: @table @t
2590: @item $B;2>H(B
2591: @ref{}
2592: @end table
2593:
2594: @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
2595: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2596: @noindent
2597: ChangeLog
2598: @itemize @bullet
2599: @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 2600: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25 takayama 2601: @end itemize
2602:
2603:
1.34 ohara 2604: @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
2605: @section D $B2C72$N@)8B$K4X$9$k4X?t(B
1.27 ohara 2606:
2607:
1.34 ohara 2608: @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2609: @subsection @code{nk_restriction.restriction}
2610: @comment --- $B:w0zMQ%-!<%o!<%I(B
2611: @findex nk_restriction.restriction
2612:
2613: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2614: @table @t
1.34 ohara 2615: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2616: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B
2617: @end table
2618:
2619: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2620: @table @var
2621: @item Id
2622: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2623: @item VL
2624: $BJQ?t$N%j%9%H(B
2625: @item DVL
2626: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2627: @item W
2628: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2629: @end table
2630:
2631: @itemize @bullet
2632: @item
2633: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
2634: ($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)
2635: @item
2636: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
1.34 ohara 2637: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2638: x,y $B$K$D$$$F@)8B$r9T$&!#(B
1.29 nakayama 2639: @end itemize
2640:
2641: $B0J2<$O!"%$%G%"%k(B
1.34 ohara 2642: @iftex
1.29 nakayama 2643: @tex
1.34 ohara 2644: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2645: @end tex
1.29 nakayama 2646: $B$N(B
1.34 ohara 2647: @tex
2648: $x$
2649: @end tex
2650: @end iftex
2651: @ifinfo
2652: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2653: @end ifinfo
1.29 nakayama 2654: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B
2655: @example
2656: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2657: -- generic_bfct_and_gr :0.001sec(0.001629sec)
2658: generic bfct : [[1,1],[s-1,1]]
2659: S0 : 1
1.33 ohara 2660: B_@{S0@} length : 2
1.29 nakayama 2661: -- fctr(BF) + base :0.000999sec(0.0005109sec)
2662: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
2663: @end example
2664:
1.34 ohara 2665:
1.29 nakayama 2666: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2667: @subsection @code{nk_restriction.restriction_ideal}
2668: @comment --- $B:w0zMQ%-!<%o!<%I(B
2669: @findex nk_restriction.restriction_ideal
2670:
2671: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2672: @table @t
1.34 ohara 2673: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2674: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B
2675: @end table
2676:
2677: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2678: @table @var
2679: @item Id
2680: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2681: @item VL
2682: $BJQ?t$N%j%9%H(B
2683: @item DVL
2684: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2685: @item W
2686: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2687: @end table
2688:
2689: @itemize @bullet
2690: @item
2691: @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$$!#(B
2692: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2693: @item
2694: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
1.34 ohara 2695: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2696: x,y $B$K$D$$$F@)8B$r9T$&!#(B
1.29 nakayama 2697: @end itemize
2698:
1.34 ohara 2699: $B0J2<$O!"%$%G%"%k(B
2700: @iftex
1.29 nakayama 2701: @tex
1.34 ohara 2702: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2703: @end tex
1.29 nakayama 2704: $B$N(B
1.34 ohara 2705: @tex
2706: $x$
2707: @end tex
2708: @end iftex
2709: @ifinfo
2710: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2711: @end ifinfo
1.29 nakayama 2712: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
2713: @example
2714: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2715: -- generic_bfct_and_gr :0.002sec(0.001652sec)
2716: generic bfct : [[1,1],[s-1,1]]
2717: S0 : 1
1.33 ohara 2718: B_@{S0@} length : 2
1.29 nakayama 2719: -- fctr(BF) + base :0sec(0.000566sec)
2720: -- restriction_ideal_internal :0.001sec(0.0007441sec)
2721: [-1]
2722: @end example
2723:
1.34 ohara 2724: @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2725: @subsection @code{nk_restriction.integration}
2726: @comment --- $B:w0zMQ%-!<%o!<%I(B
2727: @findex nk_restriction.integration
2728:
2729: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2730: @table @t
1.34 ohara 2731: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2732: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B
2733: @end table
2734:
2735: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2736: @table @var
2737: @item Id
2738: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2739: @item VL
2740: $BJQ?t$N%j%9%H(B
2741: @item DVL
2742: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2743: @item W
2744: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2745: @end table
2746:
2747: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2748: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2749: @comment --- @bullet $B$O9uE@IU$-(B ---
2750: @itemize @bullet
2751: @item
2752: @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$$!#(B
2753: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2754: @item
2755: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
1.34 ohara 2756: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2757: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
1.29 nakayama 2758: @end itemize
2759:
1.34 ohara 2760: $B0J2<$O!"%$%G%"%k(B
2761: @iftex
2762: @tex
1.29 nakayama 2763: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2764: @end tex
1.29 nakayama 2765: $B$N(B
1.34 ohara 2766: @tex
2767: $t$
2768: @end tex
2769: @end iftex
2770: @ifinfo
2771: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2772: @end ifinfo
1.29 nakayama 2773: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
2774: @example
2775: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
2776: [dt,dx],[1,0]);
2777: -- generic_bfct_and_gr :0.001sec(0.001796sec)
2778: generic bfct : [[1,1],[s,1],[s-1,1]]
2779: S0 : 1
1.33 ohara 2780: B_@{S0@} length : 2
1.29 nakayama 2781: -- fctr(BF) + base :0.001sec(0.0006731sec)
2782: [[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]]]
2783: @end example
2784:
1.34 ohara 2785: @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2786: @subsection @code{nk_restriction.integration_ideal}
2787: @comment --- $B:w0zMQ%-!<%o!<%I(B
2788: @findex nk_restriction.integration_ideal
2789:
2790: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2791: @table @t
1.34 ohara 2792: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2793: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B
2794: @end table
2795:
2796: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2797: @table @var
2798: @item Id
2799: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2800: @item VL
2801: $BJQ?t$N%j%9%H(B
2802: @item DVL
2803: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2804: @item W
2805: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2806: @end table
2807:
2808: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2809: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2810: @comment --- @bullet $B$O9uE@IU$-(B ---
2811: @itemize @bullet
2812: @item
2813: @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$$!#(B
2814: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2815: @item
2816: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
1.34 ohara 2817: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2818: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
1.29 nakayama 2819: @end itemize
2820:
1.34 ohara 2821: $B0J2<$O!"%$%G%"%k(B
2822: @iftex
2823: @tex
1.29 nakayama 2824: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2825: @end tex
1.29 nakayama 2826: $B$N(B
1.34 ohara 2827: @tex
2828: $t$
2829: @end tex
2830: @end iftex
2831: @ifinfo
2832: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2833: @end ifinfo
1.29 nakayama 2834: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
2835: @example
2836: [1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
2837: [dt,dx],[1,0]);
2838: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
2839: generic bfct : [[1,1],[s,1],[s-1,1]]
2840: S0 : 1
1.33 ohara 2841: B_@{S0@} length : 2
1.29 nakayama 2842: -- fctr(BF) + base :0.001sec(0.001091sec)
2843: -- integration_ideal_internal :0.002sec(0.001879sec)
2844: [2*x*dx+1]
2845: [1432]
2846: @end example
2847:
1.42 nisiyama 2848: @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2849: @subsection @code{nk_restriction.ann_mul}
2850: @comment --- $B:w0zMQ%-!<%o!<%I(B
2851: @findex nk_restriction.ann_mul
2852:
2853: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2854: @table @t
2855: @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
2856: :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
2857: @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
2858: @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
2859: @end table
2860:
2861: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2862: @table @var
2863: @item I
2864: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2865: @item J
2866: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2867: @item VL
2868: $BJQ?t$N%j%9%H(B
2869: @item DVL
2870: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2871: @end table
2872:
2873: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2874: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2875: @comment --- @bullet $B$O9uE@IU$-(B ---
2876: @itemize @bullet
2877: @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
2878: @end itemize
2879:
2880:
2881: @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
1.36 nisiyama 2882: @subsection @code{nk_restriction (option)}
2883: @comment --- $B:w0zMQ%-!<%o!<%I(B
2884: @findex nk_restriction (option)
2885:
2886: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2887: @table @t
2888: @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 2889: @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 2890: @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 2891: @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 2892: :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
2893: @end table
2894:
2895: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2896: @table @var
2897: @item @var{n}
2898: 0 $B$^$?$O(B 1
2899: @item @var{p}
2900: $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
2901: @item @var{m}
2902: $B@0?t(B
1.39 nisiyama 2903: @item @var{b}
2904: 0, 1, 2, 3 $B$N$$$:$l$+(B
2905: @item @var{ord}
2906: $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
1.36 nisiyama 2907: @end table
2908:
2909: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2910: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2911: @comment --- @bullet $B$O9uE@IU$-(B ---
2912: @itemize @bullet
2913: @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
2914:
2915: restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
2916: @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
2917:
2918: @iftex
2919: @tex
2920: {\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I}
2921: @end tex
2922: @end iftex
2923: @ifinfo
2924: J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I
2925: @end ifinfo
2926:
2927: $B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B.
2928: $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
2929: $B%3%a%s%H$r;2>H(B.
2930:
2931: restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
2932: restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
2933: $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
2934:
2935: @item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B.
2936: $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
2937: $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
2938: $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
2939:
2940: @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
2941: $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
2942: @var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B
2943: $BMxMQ$G$-$k(B.
2944:
2945: @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
2946: $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
1.39 nisiyama 2947:
2948: @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
2949: $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
2950: $B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B.
2951:
2952: 0: $B@F<!2=$J$7(B, trace $B$J$7(B
2953:
2954: 1: $B@F<!2=$J$7(B, trace $B$"$j(B
2955:
2956: 2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
2957:
2958: 3: $B@F<!2=$"$j(B, trace $B$"$j(B
2959:
2960: @item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B
2961: $B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker
2962: $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
2963: $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
2964:
2965: $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
1.36 nisiyama 2966: @end itemize
2967:
2968: $B0J2<$O(B,
2969: @iftex
2970: @tex
2971: $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
2972: @end tex
2973: $B$N(B annihilator
2974: @tex
2975: $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
2976: \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
2977: (xt-1) \partial_x+at \}$
2978: @end tex
2979: $B$N(B
2980: @tex
2981: $t$
2982: @end tex
2983: $B$K$D$$$F$N@QJ,%$%G%"%k(B
2984: @tex
2985: $J$
2986: @end tex
2987: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
2988: @end iftex
2989: @ifinfo
2990: t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
2991: $B$N(B annihilator
2992: I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
2993: (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
2994: $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
2995: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
2996: @end ifinfo
2997: @example
2998: [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
2999: [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
3000: [(x^2-x)*dx^2+((t-1)*dt+(a+b+1)*x-c+1)*dx+b*a,(-t+1)*x*dx+(t^2-t)*dt+(-c+2)*t+b-1,(t*x-1)*dx+a*t]
3001: [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
3002: -- nd_weyl_gr :0sec(0.001875sec)
3003: -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
3004: -- generic_bfct_and_gr :0.008001sec(0.006181sec)
3005: generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
3006: S0 : 0
3007: B_{S0} length : 1
3008: -- fctr(BF) + base :0sec(0.003848sec)
3009: -- integration_ideal_internal :0sec(0.07707sec)
3010: [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
3011: @end example
3012: @iftex
3013: $B$3$N=PNO$O(B
3014: @tex
3015: $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
3016: - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
3017: @end tex
3018: $B$G$"$k$3$H$r0UL#$9$k(B.
3019: @end iftex
3020: @ifinfo
3021: $B$3$N=PNO$O(B
3022: @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
3023: $B$G$"$k$3$H$r0UL#$9$k(B.
3024: @end ifinfo
3025:
1.42 nisiyama 3026: @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
1.39 nisiyama 3027: @subsection @code{nk_restriction.trans_inhomo}
3028: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.42 nisiyama 3029: @findex nk_restriction.trans_inhomo
1.39 nisiyama 3030:
3031: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3032: @table @t
3033: @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
3034: :: D $B2C72$N@)8B%$%G%"%k(B, $B@QJ,%$%G%"%k$N@8@.85$KBP$9$kHs@F<!ItJ,$N>pJs$+$i(B, $BG$0U$N85$KBP$9$kHs@F<!ItJ,$r7W;;$9$k4X?t(B
3035: @end table
3036:
3037: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3038: @table @var
3039: @item P
3040: $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
3041: @item INT
3042: nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
3043:
3044: nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
3045: @item VL
3046: $BJQ?t$N%j%9%H(B
3047: @item DVL
3048: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3049: @item W
3050: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3051: @end table
3052:
3053: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3054: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3055: @comment --- @bullet $B$O9uE@IU$-(B ---
3056: @itemize @bullet
3057: @item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B.
3058: @item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
3059: @end itemize
3060:
1.42 nisiyama 3061: @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
3062: @subsection @code{nk_restriction.ost_integration_ideal}
3063: @comment --- $B:w0zMQ%-!<%o!<%I(B
3064: @findex nk_restriction.ost_integration_ideal
3065:
3066: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3067: $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
1.43 nisiyama 3068: $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
1.42 nisiyama 3069: @table @t
3070: @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3071: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
3072: @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3073: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
3074: @end table
3075:
3076: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3077: @table @var
3078: @item Id
3079: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3080: @item VL
3081: $BJQ?t$N%j%9%H(B
3082: @item DVL
3083: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3084: @item W
3085: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3086: @item LB
3087: $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
3088: @item UB
3089: $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
3090: @end table
3091:
3092: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3093: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3094: @comment --- @bullet $B$O9uE@IU$-(B ---
3095: @itemize @bullet
3096: @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B.
3097: @end itemize
3098:
1.43 nisiyama 3099: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
1.42 nisiyama 3100: @iftex
3101: @tex
3102: $ \int_0^\infty \exp((-t^3+t)x) dt $
3103: @end tex
1.44 nisiyama 3104: $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
1.42 nisiyama 3105: @tex
3106: $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
3107: @end tex
3108: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3109: @end iftex
3110: @ifinfo
3111: \int_0^$B!g(B exp((-t^3+t)x) dt
3112: $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3113: I = < dt +(3t^2-1)x, dx+t^3-t >
3114: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3115: @end ifinfo
3116: @example
3117: [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
3118: [1872] VL=[t,x]$
3119: [1873] DVL=[dt,dx]$
3120: [1874] W=[1,0]$
3121: [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
3122: -- nd_weyl_gr :0.008sec(0.006768sec)
3123: -- weyl_minipoly :0.004001sec(0.003029sec)
3124: -- generic_bfct_and_gr :0.012sec(0.0129sec)
3125: generic bfct : [[1,1],[s,1],[s-2,1]]
3126: S0 : 2
3127: B_{S0} length : 3
3128: -- fctr(BF) + base :0.008sec(0.007395sec)
3129: -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
3130: [-27*x^3*dx^3-54*x^2*dx^2+(4*x^3+3*x)*dx+4*x^2-3,27*x^2*dx^4+135*x*dx^3+(-4*x^2+105)*dx^2-16*x*dx-8]
3131:
3132:
3133: [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
3134: ($BN,(B)
3135: [27*x^3*dx^3+54*x^2*dx^2+(-4*x^3-3*x)*dx-4*x^2+3,-27*x^2*dx^4-135*x*dx^3+(4*x^2-105)*dx^2+16*x*dx+8]
3136: @end example
3137: $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
3138:
1.44 nisiyama 3139: @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
3140: @subsection @code{nk_restriction.ost_sum}
3141: @comment --- $B:w0zMQ%-!<%o!<%I(B
3142: @findex nk_restriction.ost_sum
3143:
3144: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3145: @table @t
3146: @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
3147: :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
3148: @end table
3149:
3150: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3151: @table @var
3152: @item Id
3153: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3154: @item VL
3155: $BJQ?t$N%j%9%H(B
3156: @item DVL
3157: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
3158: @item W
3159: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3160: @end table
3161:
3162: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3163: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3164: @comment --- @bullet $B$O9uE@IU$-(B ---
3165: @itemize @bullet
3166: @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
3167: @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
3168: @end itemize
3169:
3170: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
3171: @iftex
3172: @tex
3173: $ \sum_{k=a}^b {n \choose k} $
3174: @end tex
3175: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3176: @tex
3177: $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
3178: @end tex
3179: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3180: @end iftex
3181: @ifinfo
3182: \sum_{k=a}^b n_C_k
3183: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3184: I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
3185: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3186: @end ifinfo
3187: @example
3188: [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
3189: [1872] VL=[k,n]$
3190: [1873] DVL=[ek,en]$
3191: [1874] W=[1,0]$
3192: [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
3193: -- nd_weyl_gr :0.006667sec(0.004057sec)
3194: -- weyl_minipoly :0sec(0.001163sec)
3195: -- generic_bfct_and_gr :0.01sec(0.007085sec)
3196: generic bfct : [[1,1],[s,1]]
3197: S0 : 0
3198: B_{S0} length : 1
3199: -- fctr(BF) + base :0.003333sec(0.001785sec)
3200: -- restriction_ideal_internal :0sec(0.002336sec)
3201: [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
3202: @end example
3203:
3204:
1.30 takayama 3205: @noindent
3206: ChangeLog
3207: @itemize @bullet
3208: @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
1.39 nisiyama 3209: @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B.
3210: @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B
3211: $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
1.44 nisiyama 3212: @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
1.30 takayama 3213: @end itemize
3214:
1.37 takayama 3215: @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
3216: @section $B$=$NB>(B($BL$J,N`(B)
3217:
3218: @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
3219: @subsection @code{tk_pfn.rkn}
3220: @findex tk_pfn.rkn
3221:
3222: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3223: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3224: @table @t
3225: @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
3226: :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
3227: @end table
3228:
3229: @table @var
3230: @item return
3231: $B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B
3232: @item F, X, Y, Xs, Ys, Ht, H
3233: @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
3234: @var{X} $B$OFHN)JQ?t%j%9%H(B.
3235: @var{Y} $B$O=>B0JQ?t%j%9%H(B.
3236: @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
3237: @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
3238: @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
3239: @var{H} $B$OHy>/?t(B.
3240: @end table
3241:
3242: @itemize @bullet
3243: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
3244: @item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B.
3245: @item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$k$3$H$,2r$,B8:_$9$kI,MW==J,>r7o$G$"$k(B. $B$3$N>r7o$,@.N)$7$J$$$H$-$K$3$N4X?t$rMQ$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B.
3246: @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
3247: @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
3248: @item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B.
3249: @item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B.
3250: @item $B;29M(B. taka_runge_kutta.rr, yang.rr
3251: @end itemize
3252:
3253: @example
3254: [1355] import("tk_pfn.rr");
3255: [1590] tk_pfn.test1();
3256: Value at (3,0.1)[8.99,6,-0.2]
3257: Value at (1,3)[-8,2,-6]
3258: [[[1,3],-8,2,-6],
3259: [[1,2.9],-7.41,2,-5.8],
3260: --- snip ---
3261: [[3,0.1],8.99,6,-0.2]]
3262: @end example
3263:
3264:
3265: @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
3266: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3267: @noindent
3268: ChangeLog
3269: @itemize @bullet
3270: @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
3271: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
3272: @item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B.
3273: @end itemize
1.29 nakayama 3274:
1.40 takayama 3275:
3276: @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
3277: @subsection @code{tk_pfn.graph}
3278: @findex tk_pfn.graph
3279:
3280: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3281: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3282: @table @t
3283: @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
3284: :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
3285: @end table
3286:
3287: @table @var
3288: @item return
1.41 takayama 3289: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3290: [x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B
3291: y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
1.40 takayama 3292: @item Pf, Dom, Iv, Step
3293: @var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. $BFHN)JQ?t$O(B x, y $B$G8GDj(B.
3294: @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
3295: @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
3296: @var{Step} $B9o$_I}(B.
3297: @end table
3298:
3299: @itemize @bullet
3300: @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3301: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B.
3302: @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
3303: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.testgraph1()}, @code{tk_pfn.testgraph2()} $B$r;2>H(B.
3304: @item option $B$H$7$F$O(B fit=1 $B$,$"$k(B. Z$B<4$rE,59D4@0$9$k(B.
1.41 takayama 3305: @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
1.40 takayama 3306: @end itemize
3307:
3308: @example
3309: [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
1.41 takayama 3310: [1590] tk_pfn.testgraph1();
1.40 takayama 3311:
3312: $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
3313: def testgraph1() {
3314: /* tk_bess2.bess2pf(1/2); */
3315: Pf= [[[ 0, (1)/(x), 0 ],
3316: [ -x, (2*x^2+1)/(x), -2*x ],
3317: [ -y, 0, 0 ]],
3318: [[ 0, 0, (1)/(y) ],
3319: [ -x, 0, 0 ],
3320: [ -x, (1/2)/(x), (-1/2)/(y) ]]];
3321: /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
3322: Iv = [0.105994,-0.651603,-0.760628];
3323: Dom=[[0.5,1.5],[1.5,9]];
3324: Step = 0.5;
1.41 takayama 3325: return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
1.40 takayama 3326: }
3327:
3328:
3329: @end example
3330:
3331:
3332: @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
3333: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3334: @noindent
3335: ChangeLog
3336: @itemize @bullet
3337: @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
3338: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
3339: @end itemize
3340:
1.41 takayama 3341: @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
3342: @subsection @code{tk_rk.runge_kutta_4}
3343: @findex tk_rk.runge_kutta_4
3344:
3345: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3346: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3347: @table @t
3348: @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3349: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
3350: @end table
3351:
3352: @table @var
3353: @item return
3354: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3355: @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
3356: @item Eq, X, Y, Step
3357: @var{Eq} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$G$"$k(B.
3358: @var{X} $BFHN)JQ?tL>(B.
3359: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
3360: @var{Step} $B9o$_I}(B.
3361: @item X0, Y0, Terminal
3362: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3363: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3364: @var{Terminal} @var{X} $B$N=*CeE@(B.
3365: @end table
3366:
3367: @itemize @bullet
3368: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3369: @item $B$3$N4X?t$OO"N)>oHyJ,J}Dx<0(B Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$r?tCME*$K2r$/(B.
3370: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
3371: @code{tk_rk.test4()} $B$r;2>H(B.
3372: @end itemize
3373:
3374: @example
3375: [1355] import("taka_runge_kutta.rr");
3376: [1590] tk_rk.test4();
3377:
3378: $B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x)
3379: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3380:
3381: def test4() {
3382: A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
3383: taka_plot_auto(A);
3384: return(A);
3385: }
3386:
3387: @end example
3388:
3389:
3390: @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
3391: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3392: @noindent
3393: ChangeLog
3394: @itemize @bullet
3395: @item $B$3$N4X?t$O(B 2000 $BG/Be$NA0H>$K:G=i$NHG$,=q$+$l$?(B. 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:FEY@0Hw(B
3396: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3397: @end itemize
3398:
3399: @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
3400: @subsection @code{tk_rk.runge_kutta_4_linear}
3401: @findex tk_rk.runge_kutta_4_linear
3402:
3403: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3404: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3405: @table @t
3406: @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3407: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
3408: @end table
3409:
3410: @table @var
3411: @item return
3412: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3413: @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
3414: @item P, X, Y, Step
3415: @var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B.
3416: @var{X} $BFHN)JQ?tL>(B.
3417: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B.
3418: @var{Step} $B9o$_I}(B.
3419: @item X0, Y0, Terminal
3420: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3421: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3422: @var{Terminal} @var{X} $B$N=*CeE@(B.
3423: @end table
3424:
3425: @itemize @bullet
3426: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3427: @end itemize
3428:
3429: @example
3430: [1355] import("taka_runge_kutta.rr");
3431: [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
3432: [1591] taka_plot_auto(A);
3433:
3434: $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
3435: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3436:
3437: @end example
3438:
3439:
3440: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3441: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3442: @noindent
3443: ChangeLog
3444: @itemize @bullet
3445: @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
3446: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3447: @end itemize
3448:
1.40 takayama 3449:
3450:
1.38 takayama 3451: @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B
3452: @subsection @code{fj_simp.simplify}
3453: @findex fj_simp.simplify
3454:
3455: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3456: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3457: @table @t
3458: @item fj_simp.simplify(@var{arg1})
3459: :: arg1 $B$r4JC12=$9$k(B.
3460: @end table
3461:
3462: @table @var
3463: @item return
3464: $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
3465: @item arg1
3466: $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
3467: @end table
3468:
3469: @itemize @bullet
3470: @item
3471: $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.
3472: @item
3473: $B$3$N4X?t$O(B
3474: Joel S. Cohen, Computer Algebra and Symbolic Computation,
3475: http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
3476: $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
3477: B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
3478: $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3479: @item
3480: $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
3481: $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
3482: @end itemize
3483:
3484: @example
3485: load("fj_simplify.rr");
3486: [1434] simplify((x^(1/2))^3);
3487: ((x)^(3/2))
3488: [1435] simplify((2^(1/2))^2);
3489: 2
3490: [1436] simplify((2+2^(1/2))^3);
3491: 14*((2)^(1/2))+20
3492: [1437] simplify(exp(x)*exp(-x+y));
3493: ((@@e)^(y))
3494: @end example
3495:
3496: @table @t
3497: @item $B;2>H(B
3498: @ref{quote}
3499: @end table
3500:
3501: @noindent
3502: ChangeLog
3503: @itemize @bullet
3504: @item
3505: $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.
3506: poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.
3507: @item
3508: Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
3509: @item
3510: $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
3511: OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
3512: @end itemize
3513:
1.46 ! takayama 3514: @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
! 3515: @subsection @code{tk_jack.zonal}
! 3516: @findex tk_jack.zonal
! 3517:
! 3518: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 3519: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 3520: @table @t
! 3521: @item tk_jack.zonel(@var{p},@var{n})
! 3522: :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
! 3523: @end table
! 3524:
! 3525: @table @var
! 3526: @item return
! 3527: $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
! 3528: @item p
! 3529: $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
! 3530: @item n
! 3531: $B<+A3?t(B
! 3532: @end table
! 3533:
! 3534: @itemize @bullet
! 3535: @item
! 3536: $B$3$N4X?t$O(B
! 3537: Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
! 3538: $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
! 3539: $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
! 3540: @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
! 3541: @end itemize
! 3542:
! 3543: @example
! 3544: load("tk_jack.rr");
! 3545: [1434] tk_jack.zonal([3,2,1],3);
! 3546: (112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1
! 3547: [1435] tk_jack.zonal([1,1],3);
! 3548: (2*x_2+2*x_3)*x_1+2*x_3*x_2
! 3549: [1436] tk_jack.jack([1,1],3,2);
! 3550: (2*x_2+2*x_3)*x_1+2*x_3*x_2
! 3551: @end example
! 3552:
! 3553: @table @t
! 3554: @item $B;2>H(B
! 3555: @end table
! 3556:
! 3557: @noindent
! 3558: ChangeLog
! 3559: @itemize @bullet
! 3560: @item
! 3561: $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
! 3562: holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
! 3563: $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
! 3564: @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
! 3565: @end itemize
! 3566:
1.23 takayama 3567: @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B.
1.19 takayama 3568: @comment ****************************************************************
1.34 ohara 3569: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 3570: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.34 ohara 3571: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1.4 takayama 3572: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
3573: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
3574: @subsection @code{xyz_pqr}, @code{syz_stu}
3575: @findex xyz_pqr
3576: @findex xyz_stu
3577:
1.3 takayama 3578: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3579: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3580: @table @t
1.1 takayama 3581: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
3582: @itemx xyz_stu(@var{arg1},@var{arg2})
3583: :: xyz $B$K4X$9$kA`:n(B.
3584: @end table
3585:
3586: @table @var
3587: @item return
3588: $B@0?t(B
3589: @item arg1, arg2
3590: $B@0?t(B
3591: @item flag
3592: 0 $B$^$?$O(B 1
3593: @end table
3594:
3595: @itemize @bullet
1.3 takayama 3596: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 3597: @item
3598: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
3599: @item
3600: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
3601: @item
3602: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
3603: @end itemize
3604:
3605: @example
3606: [219] xyz_pqr(1,2);
3607: 3
3608: [220] xyz_pqr(1,2,1);
3609: 3
3610: 0
3611: [221] xyz_stu(1,2);
3612: 3
3613: @end example
3614:
3615: @table @t
3616: @item $B;2>H(B
3617: @ref{xyz_abc}
3618: @end table
3619:
1.3 takayama 3620: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3621: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 3622: @noindent
3623: ChangeLog
3624: @itemize @bullet
3625: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
3626: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
3627: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
3628: @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.
3629: @end itemize
3630:
3631: @comment --- $B$*$^$8$J$$(B ---
3632: @node Index,,, Top
3633: @unnumbered Index
3634: @printindex fn
3635: @printindex cp
3636: @iftex
3637: @vfill @eject
3638: @end iftex
3639: @summarycontents
3640: @contents
3641: @bye
3642: @comment --- $B$*$^$8$J$$=*$j(B ---
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