Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.44
1.44 ! nisiyama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.43 2011/12/08 06:40:52 nisiyama 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$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.41 takayama 41: @subtitle 2010 $BG/(B 9 $B7n(B
1.1 takayama 42:
1.16 ohara 43: @author by Risa/Asir committers
1.1 takayama 44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
1.37 takayama 47: 2004--2010. All rights reserved.
1.1 takayama 48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(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::
1.34 ohara 141: @end menu
1.23 takayama 142:
1.34 ohara 143: @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
144: @section $B%/%*!<%H(B
1.1 takayama 145:
1.34 ohara 146: @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1 takayama 147: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
148: @comment --- section $BL>$r@53N$K(B ---
1.34 ohara 149: @node quotetotex quotetotex_env,,, $B%/%*!<%H(B
1.2 takayama 150: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1 takayama 151: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2 takayama 152: @findex quotetotex
153: @findex quotetotex_env
1.1 takayama 154:
155: @comment --- $B4X?t$N4JC1$J@bL@(B ---
156: @table @t
1.34 ohara 157: @item quotetotex(@var{q})
1.2 takayama 158: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
159: @item quotetotex_env(@var{key},@var{value})
160: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
161: @item quotetotex_env()
162: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
163: @item quotetotex_env(0)
164: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1 takayama 165: @end table
166:
167: @comment --- $B0z?t$N4JC1$J@bL@(B ---
168: @table @var
169: @item return
1.2 takayama 170: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
171: @item q
172: quote
173: @item key
174: $BJ8;zNs(B
175: @item value
176: $B%*%V%8%'%/%H(B
1.1 takayama 177: @end table
178:
179: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
180: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
181: @comment --- @bullet $B$O9uE@IU$-(B ---
182: @itemize @bullet
183: @item
1.2 takayama 184: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
1.34 ohara 185: @item
1.2 takayama 186: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
1.34 ohara 187: @item
1.2 takayama 188: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
189: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
190: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3 takayama 191: 2$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 192: $B$r0UL#$9$k(B.
193: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
194: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
195: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
196: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
197: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
198: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
199: $BFbB"$:$_(B.
1.34 ohara 200: @item
1.5 takayama 201: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
1.34 ohara 202: @iftex
203: @tex
1.5 takayama 204: $x_0, x_1, \cdots$
1.34 ohara 205: @end tex
206: @end iftex
207: @ifinfo
208: x0, x1, ...
209: @end ifinfo
1.5 takayama 210: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
211: x $B$NItJ,$rJQ99$9$k(B.
1.34 ohara 212: @item
1.5 takayama 213: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
214: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 215: @item
1.2 takayama 216: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 217: latex $B7A<0$KJQ49$9$k(B.
1.34 ohara 218: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
219: @iftex
220: @tex
1.2 takayama 221: $x_0, x_1, \cdots$
1.34 ohara 222: @end tex
223: $B$K8eH>$NH>J,$r(B
224: @tex
1.2 takayama 225: $\partial_0, \partial_1, \cdots$
1.34 ohara 226: @end tex
227: @end iftex
228: @ifinfo
229: x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ...
230: @end ifinfo
1.2 takayama 231: $B$KJQ49$9$k(B.
232: $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 233: @item
234: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
235: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
236: @item
237: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.34 ohara 238: @item
1.2 takayama 239: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
1.1 takayama 240: @end itemize
241:
242: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
243: @example
1.2 takayama 244: [3] quotetotex(quote(1/(x+1)));
245: \frac@{ 1@} @{ ( @{x@}+ 1)@}
246: [4] quotetotex(objtoquote(diff(x^x,x)));
247: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
248: [5] quotetotex_env("conv_rule",3);
249: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
250: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 251: @end example
252:
253: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
254: @table @t
255: @item $B;2>H(B
1.2 takayama 256: @ref{objtoquote}
1.3 takayama 257: print_tex_form(contrib)
1.1 takayama 258: @end table
259:
260: @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
261: @noindent
262: ChangeLog
263: @itemize @bullet
1.34 ohara 264: @item
265: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
266: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
1.5 takayama 267: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
268: $B=PNO7A<0$r2~A1$7$?(B.
269: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
1.34 ohara 270: @item
271: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
1.5 takayama 272: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
1.34 ohara 273: @item
1.5 takayama 274: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 275: builtin/strobj.c 1.14--1.43,
276: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
277: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
278: parse/quote.c 1.7--1.8, 1.12.
1.34 ohara 279: @item
1.3 takayama 280: 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 281: @item
1.5 takayama 282: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
283: @item
284: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 285: @end itemize
286:
287:
288:
1.34 ohara 289: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
290: @node objtoquote,,, $B%/%*!<%H(B
1.3 takayama 291: @subsection @code{objtoquote}
292: @findex objtoquote
293:
294: @comment --- $B4X?t$N4JC1$J@bL@(B ---
295: @table @t
296: @item objtoquote(@var{ob})
297: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
298: @end table
299:
300: @table @var
301: @item return
302: quote
303: @item ob
304: $B%*%V%8%'%/%H(B
305: @end table
306:
307: @itemize @bullet
308: @item
309: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
310: @end itemize
311:
312: @example
313: [1150] quotetolist(quote(1+2));
314: [b_op,+,[internal,1],[internal,2]]
315: [1151] quotetolist(objtoquote(1+x));
316: [b_op,+,[internal,x],[internal,1]]3
317: @end example
318:
319: @table @t
320: @item $B;2>H(B
321: @ref{quotetotex} @ref{quotetolist}
322: @end table
323:
324: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
325: @noindent
326: ChangeLog
327: @itemize @bullet
328: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
329: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
330: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
331: @end itemize
332:
333:
1.34 ohara 334: @node flatten_quote,,, $B%/%*!<%H(B
335: @subsection @code{flatten_quote}
336: @findex flatten_quote
1.3 takayama 337:
338: @comment --- $B4X?t$N4JC1$J@bL@(B ---
339: @table @t
1.34 ohara 340: @item flatten_quote(@var{q},@var{op})
341: :: quote $B$N3g8L$r$H$j$5$k(B.
1.3 takayama 342: @end table
343:
344: @table @var
345: @item return
1.34 ohara 346: Quote
347: @item q
348: Quote
349: @item op
350: $B1i;;;R$rI=$9J8;zNs(B.
1.3 takayama 351: @end table
352:
353: @itemize @bullet
354: @item
1.34 ohara 355: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
356: ( quotetolist $B;2>H(B ).
357: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
358: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
359: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
360: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
361: @item
362: $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
363: 1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
364: $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
365: @item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
366: + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
367: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.3 takayama 368: @end itemize
369:
370: @example
1.34 ohara 371: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
372: quote(1+2+3+4*(x+3))
373: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
374: quote(x*y*p*3-x*y*z)
375: [1290] quotetolist(quote(1+2+3));
376: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
1.3 takayama 377: @end example
378:
1.34 ohara 379: @table @t
380: @item $B;2>H(B
381: @ref{quotetolist}, @ref{print_tex_form}(contrib)
382: @end table
383:
384: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.3 takayama 385: @noindent
386: ChangeLog
387: @itemize @bullet
1.34 ohara 388: @item
389: $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
390: quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
391: OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B
392: $B1~MQ(B.
393: @item
394: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
395: builtin/strobj.c 1.47,
396: parse/eval.c 1.35,
397: parse/parse.h 1.31,
398: parse/quote.c 1.14--1.16.
1.3 takayama 399: @end itemize
400:
401:
1.34 ohara 402: @node quote_to_funargs,,, $B%/%*!<%H(B
403: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
404: @findex quote_to_funargs
405: @findex funargs_to_quote
406: @findex remove_paren
1.3 takayama 407:
408: @table @t
1.34 ohara 409: @item quote_to_funargs(@var{q})
410: :: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
411: @item funargs_to_quote(@var{f})
412: :: funarg $B7A<0$r(B quote $B$X(B.
413: @item get_function_name(@var{f})
414: :: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
415: @item remove_paren(@var{q})
416: :: $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
1.3 takayama 417: @end table
418:
419: @table @var
420: @item return
1.34 ohara 421: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
422: @item q
423: quote
424: @item f
425: $B%j%9%H(B
1.3 takayama 426: @end table
427:
428: @itemize @bullet
429: @item
1.34 ohara 430: @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
431: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
432: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
433: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
434: @item
435: @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
436: $B$J$k7A<0$r$7$F$$$k(B.
437: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
438: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
439: $B$G<h$j$@$;$k(B.
440: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
441: $B$O(B "+" $B$rLa$9(B.
1.3 takayama 442: @item
1.34 ohara 443: $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.3 takayama 444: @item
1.34 ohara 445: $B2<$NNc$G(B
446: quote_to_funargs(FA[2]);
447: [34,[b_op,+,[internal,x],[internal,1]]]
448: $B$H$J$k(B.
449: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
450: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
451: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
452: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
453: I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
454: I_PRESELF, I_POSTSELF,
455: I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
456: I_ANS, I_PVAR, I_ASSPVAR,
457: I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
458: I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
459: I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
460: I_NARYOP
1.3 takayama 461: @end itemize
462:
1.34 ohara 463: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
464: @example
465: [0] ctrl("print_quote",1) $
466:
467: [1] Q=quote((x+1)+(x+2));
468: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
469: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
470:
471: [2] FA=quote_to_funargs(Q);
472: [0,<...quoted...>,
473: [u_op,(),[b_op,+,[internal,x],[internal,1]]],
474: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
475:
476: [3] FA2=quote_to_funargs(FA[2])[1];
477: [b_op,+,[internal,x],[internal,1]]
478:
479: [4] FA3=quote_to_funargs(FA[3])[1];
480: [b_op,+,[internal,x],[internal,2]]
481:
482: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
483: [b_op,+,[b_op,+,[internal,x],[internal,1]],
484: [b_op,+,[internal,x],[internal,2]]]
485: @end example
486:
487: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
488: @example
489: [1287] load("noro_simplify.rr");
490: 1
491: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
492: quote(f(1-x))
493: @end example
1.3 takayama 494:
1.34 ohara 495: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
496: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
497: @example
498: [1184] R=quote_to_funargs(quote(a+(b+c)));
499: [0,<...quoted...>,<...quoted...>,<...quoted...>]
500: [1185] T=quote_to_funargs(quote(1+2));
501: [0,<...quoted...>,<...quoted...>,<...quoted...>]
502: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
503: quote(a+1)
1.3 takayama 504: @end example
505:
1.34 ohara 506: @table @t
507: @item $B;2>H(B
508: @ref{quotetolist}
509: @end table
510:
1.3 takayama 511:
512: @noindent
513: ChangeLog
514: @itemize @bullet
1.34 ohara 515: @item
516: $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
517: $B$N<B83E*4X?t$G$"$k(B.
518: $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
519: @item
520: $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
521: @item
522: 2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
523: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
524: @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
525: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.3 takayama 526: @end itemize
527:
528:
1.34 ohara 529: @node eval_quote,,, $B%/%*!<%H(B
530: @subsection @code{eval_quote}
531: @findex eval_quote
1.3 takayama 532:
533: @comment --- $B4X?t$N4JC1$J@bL@(B ---
534: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
535: @table @t
1.34 ohara 536: @item eval_quote(@var{Q});
537: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
1.3 takayama 538: @end table
539:
540: @table @var
541: @item return
1.34 ohara 542: $B%*%V%8%'%/%H(B
543: @item Q
544: quote$B7?(B
545: @end table
546:
547: @itemize @bullet
548: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
549: @item $B5U4X?t$O(B @code{objtoquote}
550: @end itemize
551:
552: @example
553: ctrl("print_quote",2);
554: A=quote((x-1)^2+(x-1)+3);
555: $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
556: eval_quote(A);
557: $B=PNO(B: x^2-x+3
558: print_input_form(A); /* asir-contrib */
559: $B=PNO(B: quote((x-1)^2+(x-1)+3)
1.11 ohara 560: @end example
1.3 takayama 561:
1.34 ohara 562: @table @t
563: @item $B;2>H(B
564: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
565: @ref{quote_to_funargs}, @ref{funargs_to_quote}
566: @end table
1.3 takayama 567:
568: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 569: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 570: @noindent
571: ChangeLog
572: @itemize @bullet
1.34 ohara 573: @item -----$B$^$@=q$$$F$J$$(B.
1.1 takayama 574: @end itemize
575:
1.34 ohara 576:
577: @node nqt_match,,, $B%/%*!<%H(B
578: @subsection @code{nqt_match}
579: @findex nqt_match
1.1 takayama 580:
581: @comment --- $B4X?t$N4JC1$J@bL@(B ---
582: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
583: @table @t
1.34 ohara 584: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
585: :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
1.3 takayama 586: @end table
587:
1.34 ohara 588: @table @var
589: @item return
590: $B@0?t(B
591: @item Expr
592: quote$B7?(B
593: @item Pattern
594: quote$B7?(B
595: @item Mode
596: $B@0?t(B
597: @end table
1.3 takayama 598:
599: @itemize @bullet
1.34 ohara 600: @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$$$H(B 0 $B$rLa$9(B.
601: @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
602: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
603: @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
604: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
1.3 takayama 605: @end itemize
606:
1.34 ohara 607: @example
608: ctrl("print_quote",2);
609: A=quote((x-y)*(x+y));
610: nqt_match(A,quote(P*Q));
611: [P,Q]
612: $B=PNO(B: [x-y, x+y]
613: nqt_match(A,quote(P*Q),1);
614: $B%^%C%A$7$J$$(B.
615: nqt_match(A,quote(P*Q),2);
616: $B%^%C%A$7$J$$(B.
617: qt_normalize(A,1);
618: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
619: qt_normalize(A,2);
620: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
621: @end example
622:
623: @table @t
624: @item $B;2>H(B
625: @ref{nqt_match_rewrite},
626: @ref{qt_rewrite}
627: @end table
1.3 takayama 628:
629: @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 630: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 631: @noindent
632: ChangeLog
633: @itemize @bullet
1.34 ohara 634: @item ----- $B$^$@=q$$$F$J$$(B.
1.3 takayama 635: @end itemize
636:
1.4 takayama 637:
1.34 ohara 638: @node nqt_match_rewrite,,, $B%/%*!<%H(B
639: @subsection @code{nqt_match_rewrite}
640: @findex nqt_match_rewrite
1.4 takayama 641:
642: @comment --- $B4X?t$N4JC1$J@bL@(B ---
643: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
644: @table @t
1.34 ohara 645: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
646: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
1.4 takayama 647: @end table
648:
649: @table @var
650: @item return
1.34 ohara 651: quote$B7?(B
652: @item Expr
653: quote$B7?(B
654: @item Rule
655: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
656: [@var{Pattern},@var{Condition},@var{Action}].
657: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
658: @item Mode
659: $B@0?t(B
1.4 takayama 660: @end table
661:
662: @itemize @bullet
1.34 ohara 663: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
664: @var{Exprt} $B<+BN$rLa$9(B.
665: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
1.4 takayama 666: @end itemize
667:
1.34 ohara 668: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
1.4 takayama 669: @example
1.34 ohara 670: ctrl("print_quote",2);
671: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
672: $B=PNO(B: (x)+((y)*(z))
673: A=`x*x;
674: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
675: $B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B)
676: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
677: $B=PNO(B: 2*x
678:
679: $BE,9g$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.
680: quotetolist(qt_normalize(`x*x,0));
681: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
682: quotetolist(qt_normalize(`x*x,1));
683: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
684: quotetolist(qt_normalize(`x*x,2));
685: $B=PNO(B: [n_op,*,[internal,x],[internal,x]]
1.4 takayama 686: @end example
687:
688: @table @t
689: @item $B;2>H(B
1.34 ohara 690: @ref{nqt_match},
691: @ref{qt_rewrite},
692: @ref{qt_normalize}
1.4 takayama 693: @end table
694:
695: @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
696: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
697: @noindent
698: ChangeLog
699: @itemize @bullet
1.34 ohara 700: @item -----$B$^$@=q$$$F$J$$(B.
1.4 takayama 701: @end itemize
702:
1.34 ohara 703:
704:
705: @node qt_normalize,,, $B%/%*!<%H(B
706: @subsection @code{qt_normalize}
707: @findex qt_normalize
1.6 takayama 708:
709: @comment --- $B4X?t$N4JC1$J@bL@(B ---
710: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
711: @table @t
1.34 ohara 712: @item qt_normalize(@var{Expr}[,@var{Mode}])
713: :: @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 714: @end table
715:
716: @table @var
717: @item return
1.34 ohara 718: quote$B7?(B
719: @item Expr
720: quote$B7?(B
721: @item Mode
722: $B@0?t(B
1.6 takayama 723: @end table
724:
1.34 ohara 725: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
726: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
727: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
728: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
729:
730: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
731: 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.
732: @example
733: fn = formula | functor(nf [,...]) | sum_of_monom
734: fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
735: sum_of_monom = monom [+ ...]
736: $B%b%N%_%"%k$NOB(B
737: monom = [formula *] nfpow [* ...]
738: $B%b%N%_%"%k(B
739: nfpow = nf | nf^(nf)
740: $BQQ>hItJ,$NI8=`7A(B
741: formula = Risa object
742: @end example
743:
744:
1.6 takayama 745: @itemize @bullet
1.34 ohara 746: @item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
747: @item $BE83+$O:F5"E*$G$"$k(B.
748: @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
749: (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
750: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
751: @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$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$$$k(B.
752: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
753: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
754: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
1.6 takayama 755: @end itemize
756:
1.34 ohara 757: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
758: @comment %%cfep/tests/2006-03-12-qt.rr
1.6 takayama 759: @example
1.34 ohara 760: ctrl("print_quote",2);
761: A=quote((x-y)*(x+y));
762: $B=PNO(B: ((x)-(y))*((x)+(y))
763: B=qt_normalize(A,0);
764: $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
765: quotetolist(B);
766: $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
1.6 takayama 767:
1.34 ohara 768: B=qt_normalize(A,1);
769: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
770: Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
771: quotetolist(B);
772: $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 773:
1.34 ohara 774: qt_normalize(A,2);
775: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
776: Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
777: quotetolist(B);
778: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
1.6 takayama 779:
1.34 ohara 780: qt_normalize(`x^2,2);
781: $B=PNO(B: (x)*(x)
782: Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
1.6 takayama 783: @end example
784:
785: @table @t
786: @item $B;2>H(B
1.34 ohara 787: @ref{nqt_match},
788: @ref{nqt_match_rewrite},
789: @ref{quotetolist},
790: @ref{quote_to_funargs}
1.6 takayama 791: @end table
792:
793: @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 794: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 795: @noindent
796: ChangeLog
797: @itemize @bullet
1.34 ohara 798: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 799: @end itemize
800:
1.34 ohara 801:
802: @node qt_set_coef,,, $B%/%*!<%H(B
803: @subsection @code{qt_set_coef}
804: @findex qt_set_coef
1.6 takayama 805:
806: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 807: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 808: @table @t
1.34 ohara 809: @item qt_set_coef(@var{ParamList})
810: :: $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
811: $BHs2D49B?9`<0$r07$&(B.
1.6 takayama 812: @end table
813:
814: @table @var
815: @item return
1.34 ohara 816: $B%j%9%H(B
817: @item ParamList
818: $B%j%9%H(B
1.6 takayama 819: @end table
820:
821: @itemize @bullet
1.34 ohara 822: @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
823: $BHs2D49B?9`<0$r07$&(B.
824: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
825: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
826: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 827: @end itemize
828:
829: @example
1.34 ohara 830: ctrl("print_quote",2);
831: qt_set_coef([a]);
832: B=qt_normalize(quote((a*x+a)^2),2);
833: $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
834: qt_normalize(B+B,2);
835: $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
1.6 takayama 836: @end example
837:
838: @table @t
839: @item $B;2>H(B
1.34 ohara 840: @ref{qt_normalize}
1.6 takayama 841: @end table
842:
843: @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 844: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 845: @noindent
846: ChangeLog
847: @itemize @bullet
1.34 ohara 848: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 849: @end itemize
850:
1.34 ohara 851:
852: @node qt_set_ord,,, $B%/%*!<%H(B
853: @subsection @code{qt_set_ord}
854: @findex qt_set_ord
1.6 takayama 855:
856: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 857: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 858: @table @t
1.34 ohara 859: @item qt_set_ord(@var{VarList})
860: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
1.6 takayama 861: @end table
862:
863: @table @var
864: @item return
1.34 ohara 865: $B%j%9%H(B
866: @item VarList
867: $B%j%9%H(B
1.6 takayama 868: @end table
869:
870: @itemize @bullet
1.34 ohara 871: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
872: @item $B$3$N@k8@$r$7$J$$$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.
873: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
874: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
875: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 876: @end itemize
877:
878: @example
1.34 ohara 879: ctrl("print_quote",2);
880: qt_normalize(quote(x+y),2);
881: $B=PNO(B: (x)+(y)
882: qt_set_ord([y,x]);
883: $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
884: qt_normalize(quote(x+y),2);
885: $B=PNO(B: (y)+(x)
1.6 takayama 886: @end example
887:
888: @table @t
889: @item $B;2>H(B
1.34 ohara 890: @ref{qt_normalize},
891: @ref{nqt_comp}
1.6 takayama 892: @end table
893:
894: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 895: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 896: @noindent
897: ChangeLog
898: @itemize @bullet
1.34 ohara 899: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 900: @end itemize
901:
1.8 takayama 902:
1.34 ohara 903: @node qt_set_weight,,, $B%/%*!<%H(B
904: @subsection @code{qt_set_weight}
905: @findex qt_set_weight
1.8 takayama 906:
1.34 ohara 907: @comment --- $B4X?t$N4JC1$J@bL@(B ---
908: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 909: @table @t
1.34 ohara 910: @item qt_set_weight(@var{WeightVector})
911: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
1.8 takayama 912: @end table
913:
914: @table @var
915: @item return
1.34 ohara 916: $B%j%9%H(B
917: @item WeightVector
918: $B%j%9%H(B
1.8 takayama 919: @end table
920:
1.34 ohara 921: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
922: @example
923: f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
924: $B$D$$$F$O$=$NCM(B.
925:
926: f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
927: w(f+g) = max(w(f),w(g))
928: w(f g) = w(f) + w(g)
929: w(f^n) = n w(f)
930: $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
931: @end example
932:
1.8 takayama 933: @itemize @bullet
1.34 ohara 934: @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
935: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
936: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
937: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
938: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
939: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
1.8 takayama 940: @end itemize
941:
942: @example
1.34 ohara 943: ctrl("print_quote",2);
944: qt_set_weight([[x,-1],[y,-1]]);
945: $B7k2L(B: [[x,-1],[y,-1]]
946: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
947: $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
1.8 takayama 948: @end example
949:
950: @table @t
951: @item $B;2>H(B
1.34 ohara 952: @ref{qt_normalize},
953: @ref{qt_set_ord},
954: @ref{qt_set_weight},
955: @ref{dp_gr_main}
1.8 takayama 956: @end table
957:
958: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
959: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
960: @noindent
961: ChangeLog
962: @itemize @bullet
1.34 ohara 963: @item -----$B$^$@=q$$$F$J$$(B.
1.8 takayama 964: @end itemize
965:
966:
1.34 ohara 967: @node nqt_comp,,, $B%/%*!<%H(B
968: @subsection @code{nqt_comp}
969: @findex nqt_comp
970:
971: @comment --- $B4X?t$N4JC1$J@bL@(B ---
972: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 973: @table @t
1.34 ohara 974: @item nqt_cmp(@var{Expr1},@var{Exprt2})
975: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
1.8 takayama 976: @end table
977:
978: @table @var
979: @item return
1.34 ohara 980: $B@0?t(B
981: @item Expr1, Expr2
982: quote$B7?(B
1.8 takayama 983: @end table
984:
985: @itemize @bullet
1.34 ohara 986: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
987: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
988: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
989: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
1.8 takayama 990: @end itemize
991:
992: @example
1.34 ohara 993: ctrl("print_quote",2);
994: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
995: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
996: $B=PNO(B: [-1,1,0]
1.8 takayama 997: @end example
998:
999: @table @t
1000: @item $B;2>H(B
1.34 ohara 1001: @ref{qt_normalize},
1002: @ref{qt_set_ord},
1003: @ref{qt_set_weight}
1.8 takayama 1004: @end table
1005:
1006: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1007: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1008: @noindent
1009: ChangeLog
1010: @itemize @bullet
1.34 ohara 1011: @item $B$^$@=q$$$F$J$$(B.
1.8 takayama 1012: @end itemize
1.34 ohara 1013: @comment ****************************************************************
1.8 takayama 1014:
1.34 ohara 1015: @node qt_is_var,,, $B%/%*!<%H(B
1016: @subsection @code{qt_is_var}, @code{qt_is_coef}
1017: @findex qt_is_var
1018: @findex qt_is_coef
1.9 takayama 1019:
1020: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1021: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.9 takayama 1022: @table @t
1.34 ohara 1023: @item qt_is_var(@var{Expr})
1024: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1025: @item qt_is_coef(@var{Expr})
1026: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
1.9 takayama 1027: @end table
1028:
1029: @table @var
1030: @item return
1031: $B@0?t(B
1.34 ohara 1032: @item Expr
1033: quote$B7?(B
1.9 takayama 1034: @end table
1035:
1036: @itemize @bullet
1.34 ohara 1037: @item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1038: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
1.9 takayama 1039: @end itemize
1040:
1041: @example
1.34 ohara 1042: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
1043: $B=PNO(B: [1,0]
1.9 takayama 1044: @end example
1045:
1046: @table @t
1047: @item $B;2>H(B
1.34 ohara 1048: @ref{qt_rewrite},
1049: @ref{nqt_match_rewrite}
1.9 takayama 1050: @end table
1051:
1.34 ohara 1052: @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
1053: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.9 takayama 1054: @noindent
1055: ChangeLog
1056: @itemize @bullet
1.34 ohara 1057: @item -----$B$^$@=q$$$F$J$$(B.
1.9 takayama 1058: @end itemize
1.34 ohara 1059: @comment ****************************************************************
1.8 takayama 1060:
1.34 ohara 1061: @node qt_rewrite,,, $B%/%*!<%H(B
1062: @subsection @code{qt_rewrite}
1063: @findex qt_rewrite
1.12 takayama 1064:
1065: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1066: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.12 takayama 1067: @table @t
1.34 ohara 1068: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
1069: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1.12 takayama 1070: @end table
1071:
1072: @table @var
1073: @item return
1.34 ohara 1074: quote$B7?(B
1075: @item Expr
1076: quote$B7?(B
1077: @item Rules
1078: $B%j%9%H(B
1079: @item Mode
1.12 takayama 1080: $B@0?t(B
1081: @end table
1082:
1083: @itemize @bullet
1.34 ohara 1084: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
1085: @code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B.
1086: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
1087: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
1088: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1089: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
1090: $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
1091: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
1092: @var{Pattern} $B$HF1$8=q$-J}(B.
1093: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
1094: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
1095: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
1096: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
1097: $B$5$l$F$+$i?k9T$5$l$k(B.
1.12 takayama 1098: @end itemize
1099:
1.34 ohara 1100: $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
1101: $BM?$($k$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,
1102: $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
1103: @example
1104: import("noro_rewrite.rr");
1105: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
1106: qt_rewrite(`(x-y)^2,R,2);
1107: $B=PNO(B: quote(x*x+-2*x*y+y*y)
1108: @end example
1109:
1110: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1111: @example
1112: import("noro_rewrite.rr");
1113: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
1114: quote(-Y*X)];
1115: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
1116: Rext2=[quote(X*X),quote(0)];
1117: Rext=[Rext0,Rext1,Rext2];
1118: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
1119: $B=PNO(B: 2*x*y
1120:
1121: qt_set_coef([a,b,c,d]);
1122: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
1123: $B=PNO(B: (d*a-c*b)*x*y
1124:
1125: @end example
1126:
1127: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1.12 takayama 1128: @example
1.34 ohara 1129: import("noro_rewrite.rr");
1130: qt_set_coef([a,b]);
1131: Rd1=[`d(X+Y), `d(X)+d(Y)];
1132: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
1133: Rd3=[`d(N), `qt_is_coef(N), `0];
1134: Rd4=[`d(x),`1];
1135: Rd=[Rd1,Rd2,Rd3,Rd4];
1136: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
1137: $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
1138: fctr(eval_quote(B));
1139: $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
1.12 takayama 1140: @end example
1141:
1142: @table @t
1143: @item $B;2>H(B
1.34 ohara 1144: @ref{nqt_match},
1145: @ref{nqt_match_rewrite},
1146: @ref{qt_normalize}
1.12 takayama 1147: @end table
1148:
1149: @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 1150: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.12 takayama 1151: @noindent
1152: ChangeLog
1153: @itemize @bullet
1.34 ohara 1154: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
1155: $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
1156: qt $B7O$N4X?t$,3+H/$5$l$?(B.
1157: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
1158: OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
1159: OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
1160: @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 1161: @end itemize
1162:
1.34 ohara 1163: @comment ****************************************************************
1164:
1165: @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
1166: @section $BJ8;zNs=hM}(B
1.13 takayama 1167:
1.34 ohara 1168: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
1169: @node copyright,,, $BJ8;zNs=hM}(B
1170: @subsection @code{copyright}
1171: @findex copyright
1.13 takayama 1172:
1173: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1174: @table @t
1.34 ohara 1175: @item copyright()
1176: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1177: @end table
1178:
1179: @table @var
1180: @item return
1.34 ohara 1181: $BJ8;zNs(B
1.13 takayama 1182: @end table
1183:
1184: @itemize @bullet
1185: @item
1.34 ohara 1186: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1187: @end itemize
1188:
1189: @example
1.34 ohara 1190: [1150] copyright();
1191: This is Risa/Asir, Version 20040312 (Kobe Distribution).
1192: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
1193: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
1194: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
1195: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
1196: H. Cohen and M. Olivier.
1.13 takayama 1197: @end example
1198:
1.34 ohara 1199: @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 1200: @noindent
1201: ChangeLog
1202: @itemize @bullet
1.34 ohara 1203: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
1204: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
1205: parse/glob.c 1.47.
1206: @end itemize
1207:
1208:
1209:
1210: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
1211: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1212: @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
1213: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
1214: @findex string_to_tb
1215: @findex tb_to_string
1216: @findex write_to_tb
1217:
1218: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1219: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1220: @table @t
1221: @item string_to_tb(@var{s})
1222: @itemx tb_to_string(@var{tb})
1223: @itemx write_to_tb(@var{s},@var{tb})
1224: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
1225: @end table
1226:
1227: @table @var
1228: @item return
1229: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
1230: @item s
1231: $BJ8;zNs(B
1232: @item tb
1233: $BJ8;zNs2DJQD9G[Ns7?(B
1234: @end table
1235:
1236: @itemize @bullet
1237: @item
1238: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
1239: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
1240: @item
1241: @code{tb_to_string_(@var{tb})} $B$O(B,
1242: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
1243: @item
1244: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
1245: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
1246: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
1247: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
1248: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
1249: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
1250: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
1251: $B%G!<%?9=B$$G$"$k(B.
1252: @end itemize
1253:
1254: @example
1255: [219] T=string_to_tb("");
1256:
1257: [220] write_to_tb("Hello",T);
1258: 0
1259: [221] write_to_tb(" world!",T);
1260: 0
1261: [222] tb_to_string(T);
1262: Hello world!
1263: @end example
1264:
1265:
1266: @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
1267: @noindent
1268: ChangeLog
1269: @itemize @bullet
1270: @item
1271: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
1272: @item
1273: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1274: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
1275: engine/str.c 1.5, parse/quote.c 1.9.
1.13 takayama 1276: @item
1.34 ohara 1277: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
1278: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.14 takayama 1279: @end itemize
1280:
1.34 ohara 1281:
1282: @node set_print_function,,, $BJ8;zNs=hM}(B
1283: @subsection @code{set_print_function}
1284: @findex set_print_function
1.14 takayama 1285:
1286: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1287: @table @t
1.34 ohara 1288: @item set_print_function([@var{fname}])
1289: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
1.14 takayama 1290: @end table
1291:
1292: @table @var
1293: @item return
1.34 ohara 1294: $B@0?t(B
1295: @item fname
1296: $BJ8;zNs(B
1.14 takayama 1297: @end table
1298:
1299: @itemize @bullet
1.34 ohara 1300: @item
1301: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1302: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1303: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1.14 takayama 1304: @end itemize
1305:
1306: @example
1.34 ohara 1307: [219] def my_output(F) @{
1308: print("Out: ",0); print(rtostr(F));
1309: @}
1310: [220] set_print_function("my_output");
1311: Out: 0
1312: [221] 1+2;
1313: Out: 3
1.14 takayama 1314: @end example
1315:
1316: @table @t
1317: @item $B;2>H(B
1.34 ohara 1318: @ref{rtostr}
1.14 takayama 1319: @end table
1320:
1321: @noindent
1322: ChangeLog
1323: @itemize @bullet
1.34 ohara 1324: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1325: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1.12 takayama 1326: @end itemize
1.13 takayama 1327:
1.15 takayama 1328:
1.34 ohara 1329: @node sprintf,,, $BJ8;zNs=hM}(B
1.28 ohara 1330: @subsection @code{printf}, @code{fprintf}, @code{sprintf}
1.15 takayama 1331: @findex sprintf
1332:
1333: @table @t
1.27 ohara 1334: @item printf(@var{format}[,@var{args}])
1.28 ohara 1335: @item fprintf(@var{fd},@var{format}[,@var{args}])
1.15 takayama 1336: @item sprintf(@var{format}[,@var{args}])
1337: :: C $B$K;w$?%W%j%s%H4X?t(B
1338: @end table
1339:
1340: @table @var
1341: @item return
1.28 ohara 1342: $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
1.15 takayama 1343: @item format
1344: $BJ8;zNs(B
1.28 ohara 1345: @item fd
1346: $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
1.15 takayama 1347: @item args
1348: $B%*%V%8%'%/%H(B
1349: @end table
1350:
1351: @itemize @bullet
1352: @item
1.27 ohara 1353: @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
1.15 takayama 1354: @item
1.28 ohara 1355: @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.
1356: @item
1.27 ohara 1357: @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
1358: @item
1359: $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
1360: @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1.28 ohara 1361: @item
1362: $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
1.15 takayama 1363: @end itemize
1364:
1365: @example
1.27 ohara 1366: [0] printf("%a: rat = %a\n",10,x^2-1)$
1367: 10: rat = x^2-1
1368: [1] S=sprintf("%a: rat = %a",20,x^2-1)$
1369: [2] S;
1370: 20: rat = x^2-1
1.28 ohara 1371: [3] Fd=open_file("hoge.txt","w");
1372: 0
1373: [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
1374: [5] close_file(Fd)$
1375: [6] quit;
1376:
1377: $ cat hoge.txt
1378: Poly=x^3-3*x^2+3*x-1
1.15 takayama 1379: @end example
1380:
1381: @table @t
1382: @item $B;2>H(B
1.28 ohara 1383: @ref{rtostr},@ref{open_file},@ref{close_file}
1.15 takayama 1384: @end table
1385:
1386: @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
1387: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1388: @noindent
1389: ChangeLog
1390: @itemize @bullet
1.34 ohara 1391: @item
1.27 ohara 1392: $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1.15 takayama 1393: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
1.34 ohara 1394: @item
1.27 ohara 1395: $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
1396: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
1.34 ohara 1397: @item
1.28 ohara 1398: $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
1399: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
1.34 ohara 1400: @item
1.15 takayama 1401: @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
1402: @end itemize
1403:
1404:
1.34 ohara 1405: @node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B
1406: @section $B%0%l%V%J!<4pDl(B
1407:
1408: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1409: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1410: @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
1411: @subsection @code{dp_gr_main}
1412: @findex dp_gr_main
1.15 takayama 1413:
1.34 ohara 1414: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1415: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.15 takayama 1416: @table @t
1.34 ohara 1417: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
1418: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
1.15 takayama 1419: @end table
1420:
1421: @table @var
1422: @item return
1.34 ohara 1423: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1.15 takayama 1424: @item f
1.34 ohara 1425: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1426: @item vv
1427: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1428: @item oo
1429: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1430: @item n
1431: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
1432: @item m
1433: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
1434: @item b
1435: ???
1436: @item sw
1437: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.15 takayama 1438: @end table
1439:
1440: @itemize @bullet
1441: @item
1.34 ohara 1442: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1443: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1444: $B7OE}$@$C$F$$$J$+$C$?(B.
1445: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1446: @comment ~taka/this03/misc-2003/A2/dp
1447: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B. @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1448: @example
1449: order : '[' orderElement @{ ',' orderElement @} ']'
1450: orderElement : weightVec | builtinOrder
1451: weightVec : '[' weightElement @{ ',' weightElement @} ']'
1452: builtiniOrder : '[' orderName ',' setOfVariables ']'
1453: weightElement : NUMBER | setOfVariables ',' NUMBER
1454: setOfVariables: V | range(V,V)
1455: orderName : @@grlex | @@glex | @@lex
1456: @end example
1457: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
1458: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
1459: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
1460: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
1461: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1462: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
1463: M.Saito, B.Sturmfels, N.Takayama:
1464: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
1465: @item
1466: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
1467: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
1468: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
1469: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
1470: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
1471: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
1472: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
1473: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1474: @item
1475: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
1.15 takayama 1476: @item
1.34 ohara 1477: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
1478: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.15 takayama 1479: @item
1.34 ohara 1480: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
1481: $B2<$NNc$r;2>H(B.
1.15 takayama 1482: @end itemize
1483:
1484: @example
1.34 ohara 1485: [218] load("cyclic");
1486: [219] V=vars(cyclic(4));
1487: [c0,c1,c2,c3]
1488: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
1489: [ 10 1 0 0 ]
1490: [ 0 0 5 0 ]
1491: [ R R R R ]
1492: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
1493: (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,
1494: c0+c1+c2+c3]
1.15 takayama 1495:
1.34 ohara 1496: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
1497: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
1498: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
1499: [ 1 1 1 1 0 ]
1500: [ R R R R R ]
1501: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.15 takayama 1502:
1.34 ohara 1503: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
1504: [[v,[x,y]],[order,[[x,5,y,1]]]]
1505: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
1506: [ 5 1 ]
1507: [ R R ]
1508: [-y^4+y^2-1,x+y^3-y]
1509: @end example
1.15 takayama 1510:
1.34 ohara 1511: @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
1512: @noindent
1513: ChangeLog
1514: @itemize @bullet
1515: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
1516: @item
1517: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
1518: @item
1519: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1520: $B7OE}$@$C$F$$$J$+$C$?(B.
1521: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1522: @item
1523: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1524: builtin/gr.c 1.56--1.57,
1525: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
1526: builtin/dp.c 1.46--1.48 (parse_gr_option),
1527: engine/Fgfs.c 1.20,
1528: engine/dist.c 1.27--1.28
1529: engine/nd.c 1.89,
1530: include/ca.h 1.42--1.43,
1531: io/pexpr.c 1.28,
1532: io/sexpr.c 1.26,
1533: parse/arith.c 1.11,
1534: parse/glob.c 1.44-1.45,
1535: parse/lex.c 1.29,
1536: parse/parse.h 1.23--1.26
1537: @item
1538: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
1539: attribute, ring $B9=B$BN(B.
1540: @end itemize
1541:
1542: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1543: @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
1544: @subsection @code{dp_weyl_gr_main}
1545: @findex dp_weyl_gr_main
1546:
1547: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1548: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1549: @table @t
1550: @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})
1551: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
1552: @end table
1.15 takayama 1553:
1.34 ohara 1554: @table @var
1555: @item return
1556: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1557: @item f
1558: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1559: @item vv
1560: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1561: @item oo
1562: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1563: @item n
1564: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
1565: @item m
1566: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
1567: @item b
1568: ???
1569: @item sw
1570: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
1571: @end table
1.15 takayama 1572:
1.34 ohara 1573: @itemize @bullet
1574: @item
1575: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1576: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1577: $B7OE}$@$C$F$$$J$+$C$?(B.
1578: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1579: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
1580: @item
1581: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
1582: K[x_1, ..., x_n, d_1, ..., d_n]
1583: $B$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
1584: 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.
1585: $B$^$?(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.
1586: @item
1587: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
1588: K[x_1, ..., x_n, d_1, ..., d_n, h]
1589: $B$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
1590: d_i x_i = x_i d_i + h^2
1591: $B$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.
1592: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
1593: @end itemize
1.15 takayama 1594:
1595: @example
1.34 ohara 1596: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
1597: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
1598: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1599: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1600: ...
1601: [1238] FF=map(dp_ptod,F[0],V);
1602: [(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]
1603:
1604: [1244] FF=map(dp_ptod,F[0],V);
1605: [(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>>]
1606:
1607: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
1608:
1609: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1610: [ 0 0 0 0 1 1 1 1 ]
1611: [ R R R R R R R R ]
1612: ...
1613:
1.15 takayama 1614: @end example
1615:
1.34 ohara 1616: @table @t
1617: @item $B;2>H(B
1618: @ref{dp_gr_main}
1619: @end table
1620:
1621: @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
1622: @noindent
1623: ChangeLog
1624: @itemize @bullet
1625: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
1626: @item
1627: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1628: builtin/dp-supp.c 1.32--1.33
1629: builtin/dp.c 1.49--1.50
1630: @end itemize
1631:
1632: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
1633: @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
1634: @subsection @code{dp_initial_term}
1635: @findex dp_initial_term
1636:
1637: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1638: @table @t
1639: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
1640: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1641: @end table
1642:
1643: @table @var
1644: @item return
1645: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
1646: @item f
1647: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1648: @item vv
1649: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1650: @item oo
1651: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1652: @end table
1653:
1654: @itemize @bullet
1655: @item
1656: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1657: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
1658: $B$H=q$+$l$F$$$k(B.
1659: @item
1660: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1661: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1662: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1663: @item
1664: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
1665: @end itemize
1666:
1.19 takayama 1667: @example
1.34 ohara 1668: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1669: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1670: [1220] dp_initial_term(F | order=[[1,1,1]]);
1671: [ 1 1 1 ]
1672: [ R R R ]
1673: (1)*<<2,0,0>>+(1)*<<1,1,0>>
1674: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
1675: [ 1 0 0 ]
1676: [ R R R ]
1677: (1)*<<2,0,0>>
1.19 takayama 1678: @end example
1679:
1.15 takayama 1680: @table @t
1681: @item $B;2>H(B
1.34 ohara 1682: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
1.15 takayama 1683: @end table
1684:
1.34 ohara 1685: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.15 takayama 1686: @noindent
1687: ChangeLog
1688: @itemize @bullet
1.34 ohara 1689: @item
1690: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1691: builtin/dp-supp.c 1.32
1692: builtin/dp.c 1.49
1.17 takayama 1693: @end itemize
1694:
1.34 ohara 1695: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
1696: @node dp_order,,, $B%0%l%V%J!<4pDl(B
1697: @subsection @code{dp_order}
1698: @findex dp_order
1.17 takayama 1699:
1700: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1701: @table @t
1.34 ohara 1702: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
1703: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1.17 takayama 1704: @end table
1705:
1706: @table @var
1707: @item return
1.34 ohara 1708: $B?t$+?t$N%j%9%H(B
1709: @item f
1710: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1711: @item vv
1712: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1713: @item oo
1714: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1.17 takayama 1715: @end table
1716:
1717: @itemize @bullet
1718: @item
1.34 ohara 1719: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1720: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1721: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1722: @item
1723: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1724: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
1725: $B$H=q$/O@J8$d652J=q$b$"$k(B.
1.17 takayama 1726: @item
1.34 ohara 1727: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
1.17 takayama 1728: @end itemize
1729:
1730: @example
1.34 ohara 1731: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1732: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1733: [1222] dp_order(F | order=[[1,1,1]]);
1734: [ 1 1 1 ]
1735: [ R R R ]
1736: 2
1737: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
1738: [ 1 0 0 ]
1739: [ R R R ]
1.17 takayama 1740: @end example
1741:
1742: @table @t
1743: @item $B;2>H(B
1.34 ohara 1744: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
1.17 takayama 1745: @end table
1746:
1.34 ohara 1747: @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 1748: @noindent
1749: ChangeLog
1750: @itemize @bullet
1751: @item
1.34 ohara 1752: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1753: builtin/dp-supp.c 1.32
1754: builtin/dp.c 1.49
1.15 takayama 1755: @end itemize
1.21 takayama 1756:
1757:
1.34 ohara 1758: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
1759: @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
1760: @findex nd_gr (module)
1761: @findex nd_gr_trace (module)
1762: @findex nd_weyl_gr (module)
1763: @findex nd_weyl_gr_trace (module)
1.21 takayama 1764:
1.34 ohara 1765: @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
1.21 takayama 1766: @table @t
1.34 ohara 1767: @item nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
1768: @itemx nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1769: @item nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
1770: @itemx nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1771: :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
1.21 takayama 1772: @end table
1773:
1.34 ohara 1774: @table @var
1775: @item gen
1776: $B%j%9%H$N%j%9%H(B
1777: @item ord
1778: @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
1779: @item return
1780: $B%j%9%H$N%j%9%H(B
1781: @end table
1.21 takayama 1782:
1783: @itemize @bullet
1.34 ohara 1784: @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
1785: $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
1786: $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
1787: @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
1788: $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
1789: $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
1790: @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
1791: $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
1792: $B$G9T$&(B.
1793: @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 1794: @end itemize
1795:
1.34 ohara 1796: @example
1797: [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
1798: [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
1799: [1] nd_gr(Gen,[x,y,z],0,[0,0]);
1800: [[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,
1801: -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
1802: +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
1803: @end example
1804:
1805: @table @t
1806: @item $B;2>H(B
1807: @ref{nd_gr}, @ref{nd_gr_trace}
1808: @end table
1809:
1810: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B
1811: @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
1812: @findex nd_gr (option)
1813: @findex nd_gr_trace (option)
1814: @findex nd_weyl_gr (option)
1815: @findex nd_weyl_gr_trace (option)
1816:
1817: @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
1818:
1819: @table @t
1820: @item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1821: @itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1822: @itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1823: @itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1824: :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
1825: @end table
1826:
1827: @table @var
1828: @item opt
1829: @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
1830: @item return
1831: $B%*%W%7%g%s$K$h$j0[$J$k(B
1832: @end table
1833:
1834: @itemize @bullet
1835: @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
1836: @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
1837:
1838: @table @var
1839: @item gentrace
1840: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
1841: @item gentsyz
1842: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
1843: @item nora
1844: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
1845: @end table
1846:
1847: @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
1848: @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
1849: $B<!$NDL$j$G$"$k(B.
1850: @table @var
1851: @item GB
1852: $B%0%l%V%J!<4pDl(B
1853: @item Homo
1854: $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
1855: @item Trace
1856: $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
1857: @item IntRed
1858: $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
1859: @item Ind
1860: $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
1861: @item InputRed
1862: $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1863: (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1864: @item SpairTrace
1865: $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1866: (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1867: @end table
1868: @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
1869: $B4X?t$N9`$G@bL@$9$kM=Dj(B.
1870: @end itemize
1.21 takayama 1871:
1872: @example
1.34 ohara 1873: [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
1874: [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
1875: [2] D[0];
1876: [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
1877: [3] D[2];
1878: [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
1879: [4] D[6];
1880: [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
1881: @end example
1.21 takayama 1882:
1.34 ohara 1883: @table @t
1884: @item $B;2>H(B
1885: @ref{nd_gr}, @ref{nd_gr_trace}
1886: @end table
1.21 takayama 1887:
1888:
1.34 ohara 1889: @node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B
1890: @section $B%7%9%F%`(B
1.21 takayama 1891:
1.34 ohara 1892: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1893: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1894: @node asir-install.sh,,, $B%7%9%F%`(B
1895: @subsection @code{asir-port.sh}, @code{asir-install.sh}
1896: @findex asir-port.sh
1897: @findex asir-install.sh
1.23 takayama 1898:
1899: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1900: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1901: @table @t
1.34 ohara 1902: @item asir-install.sh
1903: @itemx asir-port.sh
1904: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
1.23 takayama 1905: @end table
1906:
1907:
1908: @itemize @bullet
1.34 ohara 1909: @item
1910: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1911: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1912: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
1913: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
1914: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
1915: @item
1916: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
1917: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
1918: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
1.23 takayama 1919: @end itemize
1920:
1921:
1922: @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
1923: @noindent
1924: ChangeLog
1925: @itemize @bullet
1.34 ohara 1926: @item
1927: $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.
1928: @item
1929: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1930: @item
1931: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
1932: 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
1933: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
1934: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
1.23 takayama 1935: @end itemize
1936:
1937:
1.34 ohara 1938: @node asirgui.hnd,,, $B%7%9%F%`(B
1939: @subsection @code{asirgui.hnd}
1940: @findex asirgui.hnd
1.23 takayama 1941:
1942: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1943: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1944: @table @t
1.34 ohara 1945: @item asirguid.hnd
1946: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
1.23 takayama 1947: @end table
1948:
1.34 ohara 1949: @comment ****************************************************************
1.23 takayama 1950:
1951: @itemize @bullet
1.34 ohara 1952: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
1.35 takayama 1953: @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 1954: @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 1955: @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 1956: @end itemize
1957:
1958: @example
1.34 ohara 1959: // cl test.c user32.lib
1960:
1961: #include <windows.h>
1962: #include <stdlib.h>
1963: #include <stdio.h>
1964: #include <process.h>
1965:
1966: int main()
1967: @{
1968:
1969: HWND hnd;
1970: FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
1971: fscanf(fp,"%d",&hnd);
1972: fclose(fp);
1973: while (1) @{
1974: int c;
1975: c = getchar();
1976: if ( c == '#' ) break;
1977: PostMessage(hnd,WM_CHAR,c,1);
1978: @}
1979: return 0;
1980: @}
1.23 takayama 1981: @end example
1982:
1983: @table @t
1984: @item $B;2>H(B
1.34 ohara 1985: @ref{xyz_abc}
1.23 takayama 1986: @end table
1987:
1988: @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
1989: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1990: @noindent
1991: ChangeLog
1992: @itemize @bullet
1.34 ohara 1993: @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
1994: @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
1995: @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6
1.37 takayama 1996: @item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B.
1997: @item @code{OpenXM_contrib2/windows/winfep} 1.1
1.23 takayama 1998: @end itemize
1999:
2000:
1.34 ohara 2001: @comment ****************************************************************
2002:
2003: @node chdir,,, $B%7%9%F%`(B
2004: @subsection @code{chdir}, @code{pwd}
2005: @findex chdir
2006: @findex pwd
1.23 takayama 2007:
1.34 ohara 2008: @comment --- $B%G%#%l%/%H%jA`:n(B ---
1.23 takayama 2009: @table @t
1.34 ohara 2010: @item chdir(@var{directory})
2011: @item pwd()
2012: :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
1.23 takayama 2013: @end table
2014:
2015: @table @var
2016: @item return
1.34 ohara 2017: $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
2018: @item dirctory
2019: $BJ8;zNs(B
1.23 takayama 2020: @end table
2021:
2022: @itemize @bullet
1.34 ohara 2023: @item
2024: @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
2025: @item
2026: @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.
2027: @item
2028: $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B.
1.23 takayama 2029: @end itemize
2030:
2031: @example
1.34 ohara 2032: [0] S=pwd();
2033: /home/ohara
2034: [1] chdir(".../taka");
2035: -1
2036: [2] chdir("/usr/bin");
2037: 0
1.23 takayama 2038: @end example
2039:
2040: @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
2041: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2042: @noindent
2043: ChangeLog
2044: @itemize @bullet
1.34 ohara 2045: @item
2046: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
2047: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
1.23 takayama 2048: @end itemize
2049:
2050:
1.34 ohara 2051: @node dcurrenttime,,, $B%7%9%F%`(B
2052: @subsection @code{dcurrenttime}
2053: @findex dcurrenttime
1.23 takayama 2054:
1.34 ohara 2055: @comment --- $B8=:_;~9o$r<hF@(B ---
1.23 takayama 2056: @table @t
1.34 ohara 2057: @item dcurrenttime()
2058: :: $B8=:_;~9o$r<hF@(B.
1.23 takayama 2059: @end table
2060:
1.34 ohara 2061: @table @var
2062: @item return
2063: $BIbF0>.?tE@?t(B
2064: @end table
1.23 takayama 2065:
2066: @itemize @bullet
1.34 ohara 2067: @item
2068: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
1.23 takayama 2069: @end itemize
2070:
2071: @example
1.34 ohara 2072: [0] ctrl("real_digit", 16);
2073: 16
2074: [1] dcurrenttime();
2075: 1226390851.34476
2076: [2] currenttime();
2077: 1226390854
1.23 takayama 2078: @end example
2079:
2080: @table @t
2081: @item $B;2>H(B
1.34 ohara 2082: @ref{currenttime}
1.23 takayama 2083: @end table
2084:
2085: @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
2086: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2087: @noindent
2088: ChangeLog
2089: @itemize @bullet
1.34 ohara 2090: @item
2091: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
2092: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
1.23 takayama 2093: @end itemize
2094:
2095:
1.34 ohara 2096: @comment ****************************************************************
2097:
2098:
2099: @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
2100: @section $B8@8l(B
2101:
2102: @node get_struct_name,,, $B8@8l(B
2103: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
2104: @findex get_struct_name
2105: @findex get_element_names
2106: @findex get_element_at
2107: @findex put_element_at
1.23 takayama 2108:
2109: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2110: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2111: @table @t
1.34 ohara 2112: @item get_struct_name(@var{s})
2113: @itemx get_element_names(@var{s})
2114: @itemx get_element_at(@var{s},@var{key})
2115: @itemx put_element_at(@var{s},@var{key},@var{obj})
2116: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
1.23 takayama 2117: @end table
2118:
2119: @table @var
2120: @item return
1.34 ohara 2121: $BJ8;zNs(B (get_struct_name),
2122: $BJ8;zNs$N%j%9%H(B (get_element_names),
2123: $B%*%V%8%'%/%H(B (get_element_at),
2124: $B%*%V%8%'%/%H(B (put_element_at)
2125: @item s
2126: $B9=B$BN(B
2127: @item key
2128: $BJ8;zNs(B
2129: @item obj
2130: $B%*%V%8%'%/%H(B
1.23 takayama 2131: @end table
2132:
2133: @itemize @bullet
1.34 ohara 2134: @item
2135: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
2136: @item
2137: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
2138: @item
2139: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
2140: @item
2141: @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 2142: @end itemize
2143:
2144: @example
1.34 ohara 2145: [219] struct point @{ x, y, color@};
2146: [220] P = newstruct(point);
2147: @{0,0,0@}
2148: [221] P->x = 10$ P->y=5$ P->color="red"$
2149: [222] get_element_names(P);
2150: [x,y,color]
2151: [223] put_element_at(P,"color","blue");
2152: blue
2153: [224] P->color;
2154: bule
1.23 takayama 2155: @end example
2156:
2157: @table @t
2158: @item $B;2>H(B
1.34 ohara 2159: @ref{newstruct}, @ref{struct}
1.23 takayama 2160: @end table
2161:
2162: @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
2163: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2164: @noindent
2165: ChangeLog
2166: @itemize @bullet
1.34 ohara 2167: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
2168: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
2169: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
1.23 takayama 2170: @end itemize
2171:
2172:
1.34 ohara 2173: @comment mapat
2174: @node mapat,,, $B8@8l(B
2175: @subsection @code{mapat}
2176: @findex mapat
1.23 takayama 2177:
2178: @table @t
1.34 ohara 2179: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
2180: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
1.23 takayama 2181: @end table
2182:
2183: @table @var
2184: @item return
1.34 ohara 2185: $B%*%V%8%'%/%H(B
2186: @item pos
2187: $B@0?t(B
2188: @item arg0, arg1, arg2, ...
2189: $B%*%V%8%'%/%H(B
1.23 takayama 2190: @end table
2191:
2192: @itemize @bullet
1.34 ohara 2193: @item
2194: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
2195: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
2196: @item
2197: @code{mapat(fname,0,A0,A1,...)} $B$O(B
2198: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
2199: @item
2200: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
1.23 takayama 2201: @end itemize
2202:
2203: @example
1.34 ohara 2204: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
2205: [2,3]
2206: [220] mapat(subst,1,x+y+z,[x,y,z],2);
2207: [y+z+2,x+z+2,x+y+2]
1.23 takayama 2208: @end example
2209:
2210: @table @t
2211: @item $B;2>H(B
1.34 ohara 2212: @ref{map}
1.23 takayama 2213: @end table
2214:
2215: @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
2216: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2217: @noindent
2218: ChangeLog
2219: @itemize @bullet
1.34 ohara 2220: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2221: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
1.23 takayama 2222: @end itemize
2223:
1.34 ohara 2224: @comment list
2225: @node list,,, $B8@8l(B
2226: @subsection @code{list}
2227: @findex list
1.23 takayama 2228:
2229: @table @t
1.34 ohara 2230: @item list([@var{arg0}, @var{arg1}, ...])
2231: :: list $B$r@8@.$9$k(B.
1.23 takayama 2232: @end table
2233:
2234: @table @var
2235: @item return
2236: $B%j%9%H(B
1.34 ohara 2237: @item arg0, arg1, arg2, ...
2238: $B%*%V%8%'%/%H(B
1.23 takayama 2239: @end table
2240:
1.34 ohara 2241: @itemize @bullet
2242: @item
2243: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
1.23 takayama 2244: @end itemize
2245:
2246: @example
1.34 ohara 2247: [219] list(1,2,3);
2248: [1,2,3]
2249: [220] list(1,2,[3,4]);
2250: [1,2,[3,4]]
1.23 takayama 2251: @end example
2252:
2253: @table @t
2254: @item $B;2>H(B
1.34 ohara 2255: @ref{cons}
1.23 takayama 2256: @end table
2257:
2258: @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
2259: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2260: @noindent
2261: ChangeLog
2262: @itemize @bullet
1.34 ohara 2263: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2264: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1.23 takayama 2265: @end itemize
2266:
2267:
1.34 ohara 2268: @node assoc,,, $B8@8l(B
2269: @subsection @code{assoc}
2270: @findex assoc
1.23 takayama 2271:
2272: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2273: @table @t
1.34 ohara 2274: @item assoc(@var{a},@var{b})
2275: :: $BO"A[%j%9%H$r$D$/$k(B
1.23 takayama 2276: @end table
2277:
2278: @table @var
2279: @item return
1.34 ohara 2280: List
2281: @item a
2282: List
2283: @item b
2284: List
1.23 takayama 2285: @end table
2286:
2287: @itemize @bullet
1.34 ohara 2288: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
2289: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
2290: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1.23 takayama 2291: @end itemize
2292:
1.34 ohara 2293: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
2294: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
2295: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
2296:
1.23 takayama 2297: @example
1.34 ohara 2298: [1192] A=["dog","cat","snake"];
2299: [dog,cat,snake]
2300: [1193] B=[4,4,0];
2301: [4,4,0]
2302: [1194] assoc(A,B);
2303: [[dog,4],[cat,4],[snake,0]]
1.23 takayama 2304: @end example
2305:
2306: @table @t
2307: @item $B;2>H(B
1.34 ohara 2308: @ref{cons}, @ref{append}
1.23 takayama 2309: @end table
2310:
2311: @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
2312: @noindent
2313: ChangeLog
2314: @itemize @bullet
1.34 ohara 2315: @item
2316: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
2317: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
2318: builtin/list.c 1.9
2319: parse/eval.c 1.35,
2320: parse/parse.h 1.31,
2321: parse/quote.c 1.14--1.16.
1.23 takayama 2322: @end itemize
2323:
1.34 ohara 2324:
2325: @node set_secure_flag,,, $B8@8l(B
2326: @subsection @code{set_secure_flag}, @code{set_secure_mode}
2327: @findex set_secure_flag
2328: @findex set_secure_mode
1.23 takayama 2329:
2330: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2331: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2332: @table @t
1.34 ohara 2333: @item set_secure_flag(@var{fname},@var{m})
2334: @itemx set_secure_mode(@var{m})
2335: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1.23 takayama 2336: @end table
2337:
2338: @table @var
2339: @item return
2340: $B@0?t(B
1.34 ohara 2341: @item fname
2342: $BJ8;zNs(B
2343: @item m
2344: $B@0?t(B
1.23 takayama 2345: @end table
2346:
2347: @itemize @bullet
1.34 ohara 2348: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
2349: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2350: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2351: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2352: $B4X?t$7$+<B9T$G$-$J$$(B.
2353: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2354: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2355: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
2356: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
2357: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
2358: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
2359: @item
2360: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
2361: $B$K$9$k(B.
2362: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
2363: @item
2364: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
2365: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
2366: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
2367: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
2368: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
2369: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.23 takayama 2370: @end itemize
2371:
2372: @example
1.34 ohara 2373: [1194] set_secure_flag("print_input_form_",1);
2374: 1
2375: [1195] set_secure_flag("fctr",1);
2376: 1
2377: [220] set_secure_mode(1);
2378: 1
2379: [1197] fctr((x-1)^3);
2380: [[1,1],[x-1,3]]
2381: [1198] fctr(shell("ls"));
2382: evalf : shell not permitted
2383: return to toplevel
1.23 takayama 2384: @end example
2385:
2386: @table @t
2387: @item $B;2>H(B
1.34 ohara 2388: @ref{timer}
1.23 takayama 2389: @end table
2390:
2391: @noindent
2392: ChangeLog
2393: @itemize @bullet
1.34 ohara 2394: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
2395: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2396: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
2397: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2398: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2399: $B4X?t$7$+<B9T$G$-$J$$(B.
2400: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2401: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2402: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
2403: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
2404: $BMxMQ$9$k(B.
2405: cgi-asir.sh $B$G$O(B
2406: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
2407: @item
2408: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
2409: @item
2410: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
2411: @item
2412: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
2413: @item
2414: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.23 takayama 2415: @end itemize
2416:
1.34 ohara 2417: @node initialize_static_variable,,, $B8@8l(B
2418: @subsection @code{initialize_static_variable}
2419: @findex initialize_static_variable
2420:
1.23 takayama 2421:
1.34 ohara 2422: @comment --- $B@bL@(B ---
1.23 takayama 2423: @table @t
1.34 ohara 2424: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.23 takayama 2425: @end table
2426:
2427:
2428: @itemize @bullet
1.34 ohara 2429: @item static $BJQ?t$N<h07(B.
2430: $B2<$NNc$r;2>H$N$3$H(B.
1.23 takayama 2431: @end itemize
2432:
1.34 ohara 2433:
1.23 takayama 2434: @example
1.34 ohara 2435: if (1) @{
2436: module abc;
2437: static A;
2438: A=1;
2439: endmodule;
2440: @} else @{ @};
1.23 takayama 2441:
1.34 ohara 2442: end$
2443: $B$r(B t.rr $B$H$9$k$H$-(B,
1.23 takayama 2444:
1.34 ohara 2445: [6] load("./t.rr");
2446: 1
2447: internal error (SEGV)
2448: $B$H$J$k(B.
1.23 takayama 2449:
1.34 ohara 2450: t.rr $B$r(B
2451: if (1) @{
2452: module abc;
2453: static A;
2454: localf initA;
2455: localf foo;
2456: def initA() @{
2457: A=1;
2458: @}
2459: initA();
2460: def foo() @{
2461: return A;
2462: @}
2463: endmodule;
2464: @} else @{ @};
1.23 takayama 2465:
1.34 ohara 2466: end$
2467: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1.23 takayama 2468: @end example
2469:
1.34 ohara 2470: @comment --- ChangeLog
1.23 takayama 2471: @noindent
2472: ChangeLog
2473: @itemize @bullet
1.34 ohara 2474: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
2475: @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.
2476: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1.23 takayama 2477: @end itemize
1.34 ohara 2478:
1.23 takayama 2479: @comment ****************************************************************
1.13 takayama 2480:
1.34 ohara 2481: @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
2482: @section $B?tO@!&Be?t(B
2483:
1.24 takayama 2484:
1.34 ohara 2485: @node small_jacobi,,, $B?tO@!&Be?t(B
2486: @subsection @code{small_jacobi}
2487: @findex small_jacobi
1.24 takayama 2488:
2489: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2490: @table @t
1.34 ohara 2491: @item small_jacobi(@var{a},@var{m})
2492: :: Jacobi $B5-9f$N7W;;(B
1.24 takayama 2493: @end table
2494:
1.34 ohara 2495: @table @var
2496: @item return
2497: $B@0?t(B
2498: @item arg1, arg2
2499: $B@0?t(B
2500: @end table
1.24 takayama 2501:
2502: @itemize @bullet
1.34 ohara 2503: @item
2504: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
2505: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
2506: @item
2507: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
2508: @item
2509: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1.24 takayama 2510: @end itemize
2511:
2512: @example
1.34 ohara 2513: [1286] small_jacobi(2,3);
2514: -1
2515: [1287] small_jacobi(2,7);
2516: 1
1.24 takayama 2517: @end example
2518:
2519: @table @t
2520: @item $B;2>H(B
1.34 ohara 2521: http://members.jcom.home.ne.jp/yokolabo/asirlib/
2522: $B$b8+$F$M(B.
1.24 takayama 2523: @end table
2524:
2525: @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
2526: @noindent
2527: ChangeLog
2528: @itemize @bullet
1.34 ohara 2529: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1.24 takayama 2530: @end itemize
2531:
1.34 ohara 2532:
2533: @node noro_matrix.rr,,, $B?tO@!&Be?t(B
1.25 takayama 2534: @subsection @code{noro_matrix.rr}
2535: @findex noro_matrix.rr
2536:
2537: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2538: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2539: @table @t
2540: @item linalg.unit_mat(@var{arg1})
2541: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
2542: @item linalg.minipoly_mat(@var{arg1})
2543: @item linalg.compute_kernel(@var{arg1})
2544: @item linalg.compute_image(@var{arg1})
2545: @item linalg.jordan_canonical_form(@var{arg1})
2546: @end table
2547:
2548:
2549: @itemize @bullet
2550: @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.
2551: @end itemize
2552:
2553: @example
2554: load("noro_matrix.rr");
2555: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
2556: B=linalg.jordan_canonical_form(A);
2557: @end example
2558:
2559: @table @t
2560: @item $B;2>H(B
2561: @ref{invmat}
2562: @end table
2563:
2564: @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
2565: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2566: @noindent
2567: ChangeLog
2568: @itemize @bullet
2569: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
2570: @item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
2571: @end itemize
2572:
2573:
1.34 ohara 2574: @node f_res,,, $B?tO@!&Be?t(B
1.26 takayama 2575: @subsection @code{f_res}
2576: @findex f_res
1.25 takayama 2577:
2578: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2579: @table @t
1.26 takayama 2580: @item f_res
1.25 takayama 2581: @end table
2582:
2583:
2584: @itemize @bullet
1.26 takayama 2585: @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 2586: @end itemize
2587:
2588: @table @t
2589: @item $B;2>H(B
2590: @ref{}
2591: @end table
2592:
2593: @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
2594: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2595: @noindent
2596: ChangeLog
2597: @itemize @bullet
2598: @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 2599: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25 takayama 2600: @end itemize
2601:
2602:
1.34 ohara 2603: @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
2604: @section D $B2C72$N@)8B$K4X$9$k4X?t(B
1.27 ohara 2605:
2606:
1.34 ohara 2607: @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2608: @subsection @code{nk_restriction.restriction}
2609: @comment --- $B:w0zMQ%-!<%o!<%I(B
2610: @findex nk_restriction.restriction
2611:
2612: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2613: @table @t
1.34 ohara 2614: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2615: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B
2616: @end table
2617:
2618: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2619: @table @var
2620: @item Id
2621: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2622: @item VL
2623: $BJQ?t$N%j%9%H(B
2624: @item DVL
2625: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2626: @item W
2627: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2628: @end table
2629:
2630: @itemize @bullet
2631: @item
2632: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
2633: ($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)
2634: @item
2635: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
1.34 ohara 2636: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2637: x,y $B$K$D$$$F@)8B$r9T$&!#(B
1.29 nakayama 2638: @end itemize
2639:
2640: $B0J2<$O!"%$%G%"%k(B
1.34 ohara 2641: @iftex
1.29 nakayama 2642: @tex
1.34 ohara 2643: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2644: @end tex
1.29 nakayama 2645: $B$N(B
1.34 ohara 2646: @tex
2647: $x$
2648: @end tex
2649: @end iftex
2650: @ifinfo
2651: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2652: @end ifinfo
1.29 nakayama 2653: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B
2654: @example
2655: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2656: -- generic_bfct_and_gr :0.001sec(0.001629sec)
2657: generic bfct : [[1,1],[s-1,1]]
2658: S0 : 1
1.33 ohara 2659: B_@{S0@} length : 2
1.29 nakayama 2660: -- fctr(BF) + base :0.000999sec(0.0005109sec)
2661: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
2662: @end example
2663:
1.34 ohara 2664:
1.29 nakayama 2665: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2666: @subsection @code{nk_restriction.restriction_ideal}
2667: @comment --- $B:w0zMQ%-!<%o!<%I(B
2668: @findex nk_restriction.restriction_ideal
2669:
2670: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2671: @table @t
1.34 ohara 2672: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2673: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B
2674: @end table
2675:
2676: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2677: @table @var
2678: @item Id
2679: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2680: @item VL
2681: $BJQ?t$N%j%9%H(B
2682: @item DVL
2683: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2684: @item W
2685: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2686: @end table
2687:
2688: @itemize @bullet
2689: @item
2690: @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$$!#(B
2691: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2692: @item
2693: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
1.34 ohara 2694: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2695: x,y $B$K$D$$$F@)8B$r9T$&!#(B
1.29 nakayama 2696: @end itemize
2697:
1.34 ohara 2698: $B0J2<$O!"%$%G%"%k(B
2699: @iftex
1.29 nakayama 2700: @tex
1.34 ohara 2701: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2702: @end tex
1.29 nakayama 2703: $B$N(B
1.34 ohara 2704: @tex
2705: $x$
2706: @end tex
2707: @end iftex
2708: @ifinfo
2709: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2710: @end ifinfo
1.29 nakayama 2711: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
2712: @example
2713: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2714: -- generic_bfct_and_gr :0.002sec(0.001652sec)
2715: generic bfct : [[1,1],[s-1,1]]
2716: S0 : 1
1.33 ohara 2717: B_@{S0@} length : 2
1.29 nakayama 2718: -- fctr(BF) + base :0sec(0.000566sec)
2719: -- restriction_ideal_internal :0.001sec(0.0007441sec)
2720: [-1]
2721: @end example
2722:
1.34 ohara 2723: @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2724: @subsection @code{nk_restriction.integration}
2725: @comment --- $B:w0zMQ%-!<%o!<%I(B
2726: @findex nk_restriction.integration
2727:
2728: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2729: @table @t
1.34 ohara 2730: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2731: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B
2732: @end table
2733:
2734: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2735: @table @var
2736: @item Id
2737: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2738: @item VL
2739: $BJQ?t$N%j%9%H(B
2740: @item DVL
2741: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2742: @item W
2743: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2744: @end table
2745:
2746: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2747: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2748: @comment --- @bullet $B$O9uE@IU$-(B ---
2749: @itemize @bullet
2750: @item
2751: @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$$!#(B
2752: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2753: @item
2754: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
1.34 ohara 2755: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2756: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
1.29 nakayama 2757: @end itemize
2758:
1.34 ohara 2759: $B0J2<$O!"%$%G%"%k(B
2760: @iftex
2761: @tex
1.29 nakayama 2762: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2763: @end tex
1.29 nakayama 2764: $B$N(B
1.34 ohara 2765: @tex
2766: $t$
2767: @end tex
2768: @end iftex
2769: @ifinfo
2770: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2771: @end ifinfo
1.29 nakayama 2772: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
2773: @example
2774: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
2775: [dt,dx],[1,0]);
2776: -- generic_bfct_and_gr :0.001sec(0.001796sec)
2777: generic bfct : [[1,1],[s,1],[s-1,1]]
2778: S0 : 1
1.33 ohara 2779: B_@{S0@} length : 2
1.29 nakayama 2780: -- fctr(BF) + base :0.001sec(0.0006731sec)
2781: [[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]]]
2782: @end example
2783:
1.34 ohara 2784: @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2785: @subsection @code{nk_restriction.integration_ideal}
2786: @comment --- $B:w0zMQ%-!<%o!<%I(B
2787: @findex nk_restriction.integration_ideal
2788:
2789: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2790: @table @t
1.34 ohara 2791: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2792: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B
2793: @end table
2794:
2795: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2796: @table @var
2797: @item Id
2798: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2799: @item VL
2800: $BJQ?t$N%j%9%H(B
2801: @item DVL
2802: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2803: @item W
2804: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2805: @end table
2806:
2807: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2808: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2809: @comment --- @bullet $B$O9uE@IU$-(B ---
2810: @itemize @bullet
2811: @item
2812: @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$$!#(B
2813: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2814: @item
2815: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
1.34 ohara 2816: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2817: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
1.29 nakayama 2818: @end itemize
2819:
1.34 ohara 2820: $B0J2<$O!"%$%G%"%k(B
2821: @iftex
2822: @tex
1.29 nakayama 2823: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2824: @end tex
1.29 nakayama 2825: $B$N(B
1.34 ohara 2826: @tex
2827: $t$
2828: @end tex
2829: @end iftex
2830: @ifinfo
2831: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2832: @end ifinfo
1.29 nakayama 2833: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
2834: @example
2835: [1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
2836: [dt,dx],[1,0]);
2837: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
2838: generic bfct : [[1,1],[s,1],[s-1,1]]
2839: S0 : 1
1.33 ohara 2840: B_@{S0@} length : 2
1.29 nakayama 2841: -- fctr(BF) + base :0.001sec(0.001091sec)
2842: -- integration_ideal_internal :0.002sec(0.001879sec)
2843: [2*x*dx+1]
2844: [1432]
2845: @end example
2846:
1.42 nisiyama 2847: @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2848: @subsection @code{nk_restriction.ann_mul}
2849: @comment --- $B:w0zMQ%-!<%o!<%I(B
2850: @findex nk_restriction.ann_mul
2851:
2852: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2853: @table @t
2854: @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
2855: :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
2856: @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
2857: @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
2858: @end table
2859:
2860: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2861: @table @var
2862: @item I
2863: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2864: @item J
2865: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2866: @item VL
2867: $BJQ?t$N%j%9%H(B
2868: @item DVL
2869: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2870: @end table
2871:
2872: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2873: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2874: @comment --- @bullet $B$O9uE@IU$-(B ---
2875: @itemize @bullet
2876: @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
2877: @end itemize
2878:
2879:
2880: @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
1.36 nisiyama 2881: @subsection @code{nk_restriction (option)}
2882: @comment --- $B:w0zMQ%-!<%o!<%I(B
2883: @findex nk_restriction (option)
2884:
2885: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2886: @table @t
2887: @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 2888: @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 2889: @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 2890: @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 2891: :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
2892: @end table
2893:
2894: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2895: @table @var
2896: @item @var{n}
2897: 0 $B$^$?$O(B 1
2898: @item @var{p}
2899: $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
2900: @item @var{m}
2901: $B@0?t(B
1.39 nisiyama 2902: @item @var{b}
2903: 0, 1, 2, 3 $B$N$$$:$l$+(B
2904: @item @var{ord}
2905: $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
1.36 nisiyama 2906: @end table
2907:
2908: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2909: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2910: @comment --- @bullet $B$O9uE@IU$-(B ---
2911: @itemize @bullet
2912: @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
2913:
2914: restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
2915: @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
2916:
2917: @iftex
2918: @tex
2919: {\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I}
2920: @end tex
2921: @end iftex
2922: @ifinfo
2923: J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I
2924: @end ifinfo
2925:
2926: $B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B.
2927: $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
2928: $B%3%a%s%H$r;2>H(B.
2929:
2930: restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
2931: restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
2932: $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
2933:
2934: @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.
2935: $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
2936: $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
2937: $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
2938:
2939: @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
2940: $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
2941: @var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B
2942: $BMxMQ$G$-$k(B.
2943:
2944: @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
2945: $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
1.39 nisiyama 2946:
2947: @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
2948: $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
2949: $B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B.
2950:
2951: 0: $B@F<!2=$J$7(B, trace $B$J$7(B
2952:
2953: 1: $B@F<!2=$J$7(B, trace $B$"$j(B
2954:
2955: 2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
2956:
2957: 3: $B@F<!2=$"$j(B, trace $B$"$j(B
2958:
2959: @item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B
2960: $B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker
2961: $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
2962: $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
2963:
2964: $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
1.36 nisiyama 2965: @end itemize
2966:
2967: $B0J2<$O(B,
2968: @iftex
2969: @tex
2970: $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
2971: @end tex
2972: $B$N(B annihilator
2973: @tex
2974: $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
2975: \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
2976: (xt-1) \partial_x+at \}$
2977: @end tex
2978: $B$N(B
2979: @tex
2980: $t$
2981: @end tex
2982: $B$K$D$$$F$N@QJ,%$%G%"%k(B
2983: @tex
2984: $J$
2985: @end tex
2986: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
2987: @end iftex
2988: @ifinfo
2989: t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
2990: $B$N(B annihilator
2991: I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
2992: (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
2993: $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
2994: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
2995: @end ifinfo
2996: @example
2997: [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
2998: [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
2999: [(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]
3000: [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
3001: -- nd_weyl_gr :0sec(0.001875sec)
3002: -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
3003: -- generic_bfct_and_gr :0.008001sec(0.006181sec)
3004: generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
3005: S0 : 0
3006: B_{S0} length : 1
3007: -- fctr(BF) + base :0sec(0.003848sec)
3008: -- integration_ideal_internal :0sec(0.07707sec)
3009: [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
3010: @end example
3011: @iftex
3012: $B$3$N=PNO$O(B
3013: @tex
3014: $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
3015: - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
3016: @end tex
3017: $B$G$"$k$3$H$r0UL#$9$k(B.
3018: @end iftex
3019: @ifinfo
3020: $B$3$N=PNO$O(B
3021: @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
3022: $B$G$"$k$3$H$r0UL#$9$k(B.
3023: @end ifinfo
3024:
1.42 nisiyama 3025: @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
1.39 nisiyama 3026: @subsection @code{nk_restriction.trans_inhomo}
3027: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.42 nisiyama 3028: @findex nk_restriction.trans_inhomo
1.39 nisiyama 3029:
3030: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3031: @table @t
3032: @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
3033: :: 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
3034: @end table
3035:
3036: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3037: @table @var
3038: @item P
3039: $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
3040: @item INT
3041: nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
3042:
3043: nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
3044: @item VL
3045: $BJQ?t$N%j%9%H(B
3046: @item DVL
3047: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3048: @item W
3049: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3050: @end table
3051:
3052: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3053: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3054: @comment --- @bullet $B$O9uE@IU$-(B ---
3055: @itemize @bullet
3056: @item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B.
3057: @item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
3058: @end itemize
3059:
1.42 nisiyama 3060: @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
3061: @subsection @code{nk_restriction.ost_integration_ideal}
3062: @comment --- $B:w0zMQ%-!<%o!<%I(B
3063: @findex nk_restriction.ost_integration_ideal
3064:
3065: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3066: $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
1.43 nisiyama 3067: $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
1.42 nisiyama 3068: @table @t
3069: @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3070: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
3071: @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3072: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
3073: @end table
3074:
3075: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3076: @table @var
3077: @item Id
3078: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3079: @item VL
3080: $BJQ?t$N%j%9%H(B
3081: @item DVL
3082: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3083: @item W
3084: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3085: @item LB
3086: $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
3087: @item UB
3088: $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
3089: @end table
3090:
3091: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3092: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3093: @comment --- @bullet $B$O9uE@IU$-(B ---
3094: @itemize @bullet
3095: @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B.
3096: @end itemize
3097:
1.43 nisiyama 3098: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
1.42 nisiyama 3099: @iftex
3100: @tex
3101: $ \int_0^\infty \exp((-t^3+t)x) dt $
3102: @end tex
1.44 ! nisiyama 3103: $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
1.42 nisiyama 3104: @tex
3105: $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
3106: @end tex
3107: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3108: @end iftex
3109: @ifinfo
3110: \int_0^$B!g(B exp((-t^3+t)x) dt
3111: $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3112: I = < dt +(3t^2-1)x, dx+t^3-t >
3113: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3114: @end ifinfo
3115: @example
3116: [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
3117: [1872] VL=[t,x]$
3118: [1873] DVL=[dt,dx]$
3119: [1874] W=[1,0]$
3120: [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
3121: -- nd_weyl_gr :0.008sec(0.006768sec)
3122: -- weyl_minipoly :0.004001sec(0.003029sec)
3123: -- generic_bfct_and_gr :0.012sec(0.0129sec)
3124: generic bfct : [[1,1],[s,1],[s-2,1]]
3125: S0 : 2
3126: B_{S0} length : 3
3127: -- fctr(BF) + base :0.008sec(0.007395sec)
3128: -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
3129: [-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]
3130:
3131:
3132: [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
3133: ($BN,(B)
3134: [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]
3135: @end example
3136: $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
3137:
1.44 ! nisiyama 3138: @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
! 3139: @subsection @code{nk_restriction.ost_sum}
! 3140: @comment --- $B:w0zMQ%-!<%o!<%I(B
! 3141: @findex nk_restriction.ost_sum
! 3142:
! 3143: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 3144: @table @t
! 3145: @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
! 3146: :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
! 3147: @end table
! 3148:
! 3149: @comment --- $B0z?t$N4JC1$J@bL@(B ---
! 3150: @table @var
! 3151: @item Id
! 3152: $B%$%G%"%k$N@8@.85$N%j%9%H(B
! 3153: @item VL
! 3154: $BJQ?t$N%j%9%H(B
! 3155: @item DVL
! 3156: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
! 3157: @item W
! 3158: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
! 3159: @end table
! 3160:
! 3161: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
! 3162: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
! 3163: @comment --- @bullet $B$O9uE@IU$-(B ---
! 3164: @itemize @bullet
! 3165: @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
! 3166: @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
! 3167: @end itemize
! 3168:
! 3169: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
! 3170: @iftex
! 3171: @tex
! 3172: $ \sum_{k=a}^b {n \choose k} $
! 3173: @end tex
! 3174: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
! 3175: @tex
! 3176: $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
! 3177: @end tex
! 3178: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
! 3179: @end iftex
! 3180: @ifinfo
! 3181: \sum_{k=a}^b n_C_k
! 3182: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
! 3183: I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
! 3184: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
! 3185: @end ifinfo
! 3186: @example
! 3187: [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
! 3188: [1872] VL=[k,n]$
! 3189: [1873] DVL=[ek,en]$
! 3190: [1874] W=[1,0]$
! 3191: [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
! 3192: -- nd_weyl_gr :0.006667sec(0.004057sec)
! 3193: -- weyl_minipoly :0sec(0.001163sec)
! 3194: -- generic_bfct_and_gr :0.01sec(0.007085sec)
! 3195: generic bfct : [[1,1],[s,1]]
! 3196: S0 : 0
! 3197: B_{S0} length : 1
! 3198: -- fctr(BF) + base :0.003333sec(0.001785sec)
! 3199: -- restriction_ideal_internal :0sec(0.002336sec)
! 3200: [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
! 3201: @end example
! 3202:
! 3203:
1.30 takayama 3204: @noindent
3205: ChangeLog
3206: @itemize @bullet
3207: @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
1.39 nisiyama 3208: @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B.
3209: @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B
3210: $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
1.44 ! nisiyama 3211: @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
1.30 takayama 3212: @end itemize
3213:
1.37 takayama 3214: @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
3215: @section $B$=$NB>(B($BL$J,N`(B)
3216:
3217: @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
3218: @subsection @code{tk_pfn.rkn}
3219: @findex tk_pfn.rkn
3220:
3221: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3222: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3223: @table @t
3224: @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
3225: :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
3226: @end table
3227:
3228: @table @var
3229: @item return
3230: $B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B
3231: @item F, X, Y, Xs, Ys, Ht, H
3232: @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
3233: @var{X} $B$OFHN)JQ?t%j%9%H(B.
3234: @var{Y} $B$O=>B0JQ?t%j%9%H(B.
3235: @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
3236: @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
3237: @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
3238: @var{H} $B$OHy>/?t(B.
3239: @end table
3240:
3241: @itemize @bullet
3242: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
3243: @item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B.
3244: @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$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B.
3245: @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
3246: @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
3247: @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.
3248: @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.
3249: @item $B;29M(B. taka_runge_kutta.rr, yang.rr
3250: @end itemize
3251:
3252: @example
3253: [1355] import("tk_pfn.rr");
3254: [1590] tk_pfn.test1();
3255: Value at (3,0.1)[8.99,6,-0.2]
3256: Value at (1,3)[-8,2,-6]
3257: [[[1,3],-8,2,-6],
3258: [[1,2.9],-7.41,2,-5.8],
3259: --- snip ---
3260: [[3,0.1],8.99,6,-0.2]]
3261: @end example
3262:
3263:
3264: @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
3265: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3266: @noindent
3267: ChangeLog
3268: @itemize @bullet
3269: @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
3270: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
3271: @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.
3272: @end itemize
1.29 nakayama 3273:
1.40 takayama 3274:
3275: @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
3276: @subsection @code{tk_pfn.graph}
3277: @findex tk_pfn.graph
3278:
3279: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3280: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3281: @table @t
3282: @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
3283: :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
3284: @end table
3285:
3286: @table @var
3287: @item return
1.41 takayama 3288: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3289: [x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B
3290: y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
1.40 takayama 3291: @item Pf, Dom, Iv, Step
3292: @var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. $BFHN)JQ?t$O(B x, y $B$G8GDj(B.
3293: @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
3294: @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
3295: @var{Step} $B9o$_I}(B.
3296: @end table
3297:
3298: @itemize @bullet
3299: @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3300: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B.
3301: @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
3302: @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.
3303: @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 3304: @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
1.40 takayama 3305: @end itemize
3306:
3307: @example
3308: [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
1.41 takayama 3309: [1590] tk_pfn.testgraph1();
1.40 takayama 3310:
3311: $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
3312: def testgraph1() {
3313: /* tk_bess2.bess2pf(1/2); */
3314: Pf= [[[ 0, (1)/(x), 0 ],
3315: [ -x, (2*x^2+1)/(x), -2*x ],
3316: [ -y, 0, 0 ]],
3317: [[ 0, 0, (1)/(y) ],
3318: [ -x, 0, 0 ],
3319: [ -x, (1/2)/(x), (-1/2)/(y) ]]];
3320: /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
3321: Iv = [0.105994,-0.651603,-0.760628];
3322: Dom=[[0.5,1.5],[1.5,9]];
3323: Step = 0.5;
1.41 takayama 3324: return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
1.40 takayama 3325: }
3326:
3327:
3328: @end example
3329:
3330:
3331: @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
3332: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3333: @noindent
3334: ChangeLog
3335: @itemize @bullet
3336: @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
3337: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
3338: @end itemize
3339:
1.41 takayama 3340: @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
3341: @subsection @code{tk_rk.runge_kutta_4}
3342: @findex tk_rk.runge_kutta_4
3343:
3344: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3345: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3346: @table @t
3347: @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3348: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
3349: @end table
3350:
3351: @table @var
3352: @item return
3353: $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, ...].
3354: @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.
3355: @item Eq, X, Y, Step
3356: @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.
3357: @var{X} $BFHN)JQ?tL>(B.
3358: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
3359: @var{Step} $B9o$_I}(B.
3360: @item X0, Y0, Terminal
3361: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3362: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3363: @var{Terminal} @var{X} $B$N=*CeE@(B.
3364: @end table
3365:
3366: @itemize @bullet
3367: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3368: @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.
3369: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
3370: @code{tk_rk.test4()} $B$r;2>H(B.
3371: @end itemize
3372:
3373: @example
3374: [1355] import("taka_runge_kutta.rr");
3375: [1590] tk_rk.test4();
3376:
3377: $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)
3378: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3379:
3380: def test4() {
3381: A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
3382: taka_plot_auto(A);
3383: return(A);
3384: }
3385:
3386: @end example
3387:
3388:
3389: @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
3390: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3391: @noindent
3392: ChangeLog
3393: @itemize @bullet
3394: @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
3395: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3396: @end itemize
3397:
3398: @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
3399: @subsection @code{tk_rk.runge_kutta_4_linear}
3400: @findex tk_rk.runge_kutta_4_linear
3401:
3402: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3403: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3404: @table @t
3405: @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3406: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
3407: @end table
3408:
3409: @table @var
3410: @item return
3411: $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, ...].
3412: @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.
3413: @item P, X, Y, Step
3414: @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.
3415: @var{X} $BFHN)JQ?tL>(B.
3416: @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$$(B.
3417: @var{Step} $B9o$_I}(B.
3418: @item X0, Y0, Terminal
3419: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3420: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3421: @var{Terminal} @var{X} $B$N=*CeE@(B.
3422: @end table
3423:
3424: @itemize @bullet
3425: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3426: @end itemize
3427:
3428: @example
3429: [1355] import("taka_runge_kutta.rr");
3430: [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
3431: [1591] taka_plot_auto(A);
3432:
3433: $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
3434: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3435:
3436: @end example
3437:
3438:
3439: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3440: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3441: @noindent
3442: ChangeLog
3443: @itemize @bullet
3444: @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
3445: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3446: @end itemize
3447:
1.40 takayama 3448:
3449:
1.38 takayama 3450: @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B
3451: @subsection @code{fj_simp.simplify}
3452: @findex fj_simp.simplify
3453:
3454: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3455: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3456: @table @t
3457: @item fj_simp.simplify(@var{arg1})
3458: :: arg1 $B$r4JC12=$9$k(B.
3459: @end table
3460:
3461: @table @var
3462: @item return
3463: $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
3464: @item arg1
3465: $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
3466: @end table
3467:
3468: @itemize @bullet
3469: @item
3470: $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.
3471: @item
3472: $B$3$N4X?t$O(B
3473: Joel S. Cohen, Computer Algebra and Symbolic Computation,
3474: http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
3475: $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
3476: B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
3477: $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3478: @item
3479: $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
3480: $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
3481: @end itemize
3482:
3483: @example
3484: load("fj_simplify.rr");
3485: [1434] simplify((x^(1/2))^3);
3486: ((x)^(3/2))
3487: [1435] simplify((2^(1/2))^2);
3488: 2
3489: [1436] simplify((2+2^(1/2))^3);
3490: 14*((2)^(1/2))+20
3491: [1437] simplify(exp(x)*exp(-x+y));
3492: ((@@e)^(y))
3493: @end example
3494:
3495: @table @t
3496: @item $B;2>H(B
3497: @ref{quote}
3498: @end table
3499:
3500: @noindent
3501: ChangeLog
3502: @itemize @bullet
3503: @item
3504: $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.
3505: poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.
3506: @item
3507: Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
3508: @item
3509: $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
3510: OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
3511: @end itemize
3512:
1.23 takayama 3513: @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B.
1.19 takayama 3514: @comment ****************************************************************
1.34 ohara 3515: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 3516: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.34 ohara 3517: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1.4 takayama 3518: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
3519: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
3520: @subsection @code{xyz_pqr}, @code{syz_stu}
3521: @findex xyz_pqr
3522: @findex xyz_stu
3523:
1.3 takayama 3524: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3525: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3526: @table @t
1.1 takayama 3527: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
3528: @itemx xyz_stu(@var{arg1},@var{arg2})
3529: :: xyz $B$K4X$9$kA`:n(B.
3530: @end table
3531:
3532: @table @var
3533: @item return
3534: $B@0?t(B
3535: @item arg1, arg2
3536: $B@0?t(B
3537: @item flag
3538: 0 $B$^$?$O(B 1
3539: @end table
3540:
3541: @itemize @bullet
1.3 takayama 3542: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 3543: @item
3544: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
3545: @item
3546: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
3547: @item
3548: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
3549: @end itemize
3550:
3551: @example
3552: [219] xyz_pqr(1,2);
3553: 3
3554: [220] xyz_pqr(1,2,1);
3555: 3
3556: 0
3557: [221] xyz_stu(1,2);
3558: 3
3559: @end example
3560:
3561: @table @t
3562: @item $B;2>H(B
3563: @ref{xyz_abc}
3564: @end table
3565:
1.3 takayama 3566: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3567: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 3568: @noindent
3569: ChangeLog
3570: @itemize @bullet
3571: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
3572: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
3573: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
3574: @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.
3575: @end itemize
3576:
3577: @comment --- $B$*$^$8$J$$(B ---
3578: @node Index,,, Top
3579: @unnumbered Index
3580: @printindex fn
3581: @printindex cp
3582: @iftex
3583: @vfill @eject
3584: @end iftex
3585: @summarycontents
3586: @contents
3587: @bye
3588: @comment --- $B$*$^$8$J$$=*$j(B ---
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