Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.23
1.23 ! takayama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.22 2005/07/26 05:31:52 takayama Exp $
1.1 takayama 2: \input texinfo
3: @iftex
4: @catcode`@#=6
5: @def@fref#1{@xrefX[#1,,@code{#1},,,]}
6: @def@b#1{{@bf@gt #1}}
7: @catcode`@#=@other
8: @end iftex
9: @overfullrule=0pt
10: @c -*-texinfo-*-
11: @comment %**start of header
12: @comment --- $B$*$^$8$J$$=*$j(B ---
13:
14: @comment --- GNU info $B%U%!%$%k$NL>A0(B ---
15: @setfilename xyzman
16:
17: @comment --- $B%?%$%H%k(B ---
18: @settitle $B<B83E*;EMM$N4X?t(B
19:
20: @comment %**end of header
21: @comment %@setchapternewpage odd
22:
23: @comment --- $B$*$^$8$J$$(B ---
24: @ifinfo
25: @macro fref{name}
26: @ref{\name\,,@code{\name\}}
27: @end macro
28: @end ifinfo
29:
30: @iftex
31: @comment @finalout
32: @end iftex
33:
34: @titlepage
35: @comment --- $B$*$^$8$J$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.23 ! takayama 41: @subtitle 2006 $BG/(B 3 $B7n(B
1.1 takayama 42:
1.16 ohara 43: @author by Risa/Asir committers
1.1 takayama 44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
47: 2004. All rights reserved.
48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(B ---
51: @synindex vr fn
52: @comment --- $B$*$^$8$J$$=*$j(B ---
53:
54: @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
55: @comment --- @node $B$N0z?t$O(B node-name, next, previous, up ---
56: @node Top,, (dir), (dir)
57:
58: @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
59: @comment --- chapter $BL>$r@53N$KJB$Y$k(B ---
60: @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
61: @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
62: @menu
63: * Experimental Functions::
64: * Index::
65: @end menu
66:
67: @comment --- chapter $B$N3+;O(B ---
68: @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
69: @node $B<B83E*;EMM$N4X?t(B,,, Top
70: @chapter $B<B83E*;EMM$N4X?t(B
71:
72: @comment --- section $BL>$r@53N$KJB$Y$k(B. ---
73: @menu
74: * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
75: * $B<B83E*;EMM$N4X?t(B::
76: @end menu
77:
78: @comment --- section ``XYZ$B$K$D$$$F(B'' $B$N3+;O(B --- section XYZ$B$K$D$$$F$N?F$O(B chapter XYZ
79: @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, XYZ
80: @section $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
81:
82: @comment --- $B=qBN;XDj$K$D$$$F(B ---
83: @comment --- @code{} $B$O%?%$%W%i%$%?BNI=<((B ---
84: @comment --- @var{} $B$O<P;zBNI=<((B ---
85: @comment --- @b{} $B$O%\!<%k%II=<((B ---
86: @comment --- @samp{} $B$O%U%!%$%kL>$J$I$NI=<((B ---
87:
88: $B$3$N@bL@=q$G$O(B
89: @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
90: $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
91: $B$K0\F0$5$l$k(B.
92: ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
93: $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
94:
95: @comment --- section ``$B<B83E*4X?t(B'' $B$N3+;O(B ---
96: @node $B<B83E*;EMM$N4X?t(B,,, $B<B83E*;EMM$N4X?t(B
97: @section $B<B83E*;EMM$N4X?t(B
98:
99: @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
100: @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
101: @menu
1.2 takayama 102: * quotetotex::
103: * quotetotex_env::
104: * objtoquote::
1.3 takayama 105: * copyright::
1.2 takayama 106: * string_to_tb::
107: * tb_to_string::
108: * write_to_tb::
1.3 takayama 109: * dp_gr_main::
1.4 takayama 110: * asir-port.sh::
111: * asir-install.sh::
112: * get_struct_name::
113: * get_element_names::
114: * get_element_at::
115: * put_element_at::
1.6 takayama 116: * dp_initial_term::
117: * dp_order::
118: * dp_weyl_gr_main::
1.8 takayama 119: * list::
120: * mapat::
1.9 takayama 121: * set_print_function::
1.12 takayama 122: * small_jacobi::
1.13 takayama 123: * flatten_quote::
1.15 takayama 124: * sprintf::
125: * quote_to_funargs::
126: * funargs_to_quote::
1.19 takayama 127: * get_function_name::
1.15 takayama 128: * remove_paren::
1.17 takayama 129: * set_secure_mode::
130: * set_secure_flag::
1.22 takayama 131: * initialize_static_variable::
1.23 ! takayama 132: * eval_quote::
! 133: * nqt_match::
! 134: * nqt_match_rewrite::
! 135: * qt_normalize::
! 136: * qt_set_coef::
! 137: * qt_set_ord::
! 138: * qt_set_weight::
! 139: * nqt_comp::
! 140: * qt_is_var::
! 141: * qt_is_ceof::
! 142: * qt_rewrite::
! 143:
1.1 takayama 144: @end menu
145:
1.3 takayama 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 ---
1.2 takayama 149: @node quotetotex quotetotex_env,,, $B<B83E*;EMM$N4X?t(B
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
1.2 takayama 157: @item quotetotex(@var{q})
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.
185: @item
186: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
187: @item
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.
200: @item
1.5 takayama 201: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
202: @tex
203: $x_0, x_1, \cdots$
204: @end tex
205: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
206: x $B$NItJ,$rJQ99$9$k(B.
207: @item
208: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
209: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 210: @item
1.2 takayama 211: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 212: latex $B7A<0$KJQ49$9$k(B.
1.2 takayama 213: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
214: @tex
215: $x_0, x_1, \cdots$
216: @end tex
217: $B$K(B
218: $B8eH>$NH>J,$r(B
219: @tex
220: $\partial_0, \partial_1, \cdots$
221: @end tex
222: $B$KJQ49$9$k(B.
223: $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 224: @item
225: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
226: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
227: @item
228: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.2 takayama 229: @item
230: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
231: @item
232:
1.1 takayama 233: @end itemize
234:
235: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
236: @example
1.2 takayama 237: [3] quotetotex(quote(1/(x+1)));
238: \frac@{ 1@} @{ ( @{x@}+ 1)@}
239: [4] quotetotex(objtoquote(diff(x^x,x)));
240: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
241: [5] quotetotex_env("conv_rule",3);
242: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
243: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 244: @end example
245:
246: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
247: @table @t
248: @item $B;2>H(B
1.2 takayama 249: @ref{objtoquote}
1.3 takayama 250: print_tex_form(contrib)
1.1 takayama 251: @end table
252:
253: @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
254: @noindent
255: ChangeLog
256: @itemize @bullet
1.5 takayama 257: @item
258: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
259: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
260: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
261: $B=PNO7A<0$r2~A1$7$?(B.
262: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
263: @item
264: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
265: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
266: @item
267: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 268: builtin/strobj.c 1.14--1.43,
269: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
270: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
271: parse/quote.c 1.7--1.8, 1.12.
272: @item
273: knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1.5 takayama 274: @item
275: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
276: @item
277: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 278: @end itemize
279:
280:
281:
282: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
283: @node objtoquote,,, $B<B83E*;EMM$N4X?t(B
284: @subsection @code{objtoquote}
285: @findex objtoquote
286:
287: @comment --- $B4X?t$N4JC1$J@bL@(B ---
288: @table @t
289: @item objtoquote(@var{ob})
290: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
291: @end table
292:
293: @table @var
294: @item return
295: quote
296: @item ob
297: $B%*%V%8%'%/%H(B
298: @end table
299:
300: @itemize @bullet
301: @item
302: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
303: @end itemize
304:
305: @example
306: [1150] quotetolist(quote(1+2));
307: [b_op,+,[internal,1],[internal,2]]
308: [1151] quotetolist(objtoquote(1+x));
309: [b_op,+,[internal,x],[internal,1]]3
310: @end example
311:
312: @table @t
313: @item $B;2>H(B
314: @ref{quotetotex} @ref{quotetolist}
315: @end table
316:
317: @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
318: @noindent
319: ChangeLog
320: @itemize @bullet
321: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
322: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
323: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
324: @end itemize
325:
326:
327: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
328: @node copyright,,, $B<B83E*;EMM$N4X?t(B
329: @subsection @code{copyright}
330: @findex copyright
331:
332: @comment --- $B4X?t$N4JC1$J@bL@(B ---
333: @table @t
334: @item copyright()
335: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
336: @end table
337:
338: @table @var
339: @item return
340: $BJ8;zNs(B
341: @end table
342:
343: @itemize @bullet
344: @item
345: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
346: @end itemize
347:
348: @example
349: [1150] copyright();
350: This is Risa/Asir, Version 20040312 (Kobe Distribution).
351: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
352: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
353: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
354: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
355: H. Cohen and M. Olivier.
356: @end example
357:
358: @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
359: @noindent
360: ChangeLog
361: @itemize @bullet
362: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
363: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
364: parse/glob.c 1.47.
365: @end itemize
366:
367:
368:
369: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
370: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
371: @node string_to_tb tb_to_string write_to_tb,,, $B<B83E*;EMM$N4X?t(B
372: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
373: @findex string_to_tb
374: @findex tb_to_string
375: @findex write_to_tb
376:
377: @comment --- $B4X?t$N4JC1$J@bL@(B ---
378: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
379: @table @t
380: @item string_to_tb(@var{s})
381: @itemx tb_to_string(@var{tb})
382: @itemx write_to_tb(@var{s},@var{tb})
383: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
384: @end table
385:
386: @table @var
387: @item return
388: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
389: @item s
390: $BJ8;zNs(B
391: @item tb
392: $BJ8;zNs2DJQD9G[Ns7?(B
393: @end table
394:
395: @itemize @bullet
396: @item
397: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
398: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
399: @item
400: @code{tb_to_string_(@var{tb})} $B$O(B,
401: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
402: @item
403: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
404: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
405: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
406: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
407: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
408: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
409: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
410: $B%G!<%?9=B$$G$"$k(B.
411: @end itemize
412:
413: @example
414: [219] T=string_to_tb("");
415:
416: [220] write_to_tb("Hello",T);
417: 0
418: [221] write_to_tb(" world!",T);
419: 0
420: [222] tb_to_string(T);
421: Hello world!
422: @end example
423:
424:
425: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
426: @noindent
427: ChangeLog
428: @itemize @bullet
1.5 takayama 429: @item
430: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
431: @item
432: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1.3 takayama 433: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
434: engine/str.c 1.5, parse/quote.c 1.9.
1.5 takayama 435: @item
436: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
437: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.3 takayama 438: @end itemize
439:
440:
441:
442: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
443: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
444: @node dp_gr_main,,, $B<B83E*;EMM$N4X?t(B
445: @subsection @code{dp_gr_main}
446: @findex dp_gr_main
447:
448: @comment --- $B4X?t$N4JC1$J@bL@(B ---
449: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
450: @table @t
451: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
452: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
453: @end table
454:
455: @table @var
456: @item return
457: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
458: @item f
459: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
460: @item vv
461: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
462: @item oo
463: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
464: @item n
465: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
466: @item m
467: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
468: @item b
469: ???
470: @item sw
1.5 takayama 471: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.3 takayama 472: @end table
473:
474: @itemize @bullet
475: @item
476: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
477: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
478: $B7OE}$@$C$F$$$J$+$C$?(B.
479: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
480: @comment ~taka/this03/misc-2003/A2/dp
481: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B. @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1.11 ohara 482: @example
1.3 takayama 483: order : '[' orderElement { ',' orderElement } ']'
1.5 takayama 484: orderElement : weightVec | builtinOrder
1.3 takayama 485: weightVec : '[' weightElement { ',' weightElement } ']'
486: builtiniOrder : '[' orderName ',' setOfVariables ']'
487: weightElement : NUMBER | setOfVariables ',' NUMBER
488: setOfVariables: V | range(V,V)
1.11 ohara 489: orderName : @@grlex | @@glex | @@lex
490: @end example
1.3 takayama 491: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
492: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
493: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
494: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
495: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1.5 takayama 496: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
497: M.Saito, B.Sturmfels, N.Takayama:
498: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
499: @item
500: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
501: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
502: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
503: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
504: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
505: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
506: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
507: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1.3 takayama 508: @item
509: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
510: @item
511: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
512: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.5 takayama 513: @item
514: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
515: $B2<$NNc$r;2>H(B.
1.3 takayama 516: @end itemize
517:
518: @example
519: [218] load("cyclic");
520: [219] V=vars(cyclic(4));
521: [c0,c1,c2,c3]
522: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
523: [ 10 1 0 0 ]
524: [ 0 0 5 0 ]
525: [ R R R R ]
526: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
527: (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2,
528: c0+c1+c2+c3]
529:
530: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
531: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
532: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
533: [ 1 1 1 1 0 ]
534: [ R R R R R ]
535: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.5 takayama 536:
537: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
538: [[v,[x,y]],[order,[[x,5,y,1]]]]
539: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
540: [ 5 1 ]
541: [ R R ]
542: [-y^4+y^2-1,x+y^3-y]
1.3 takayama 543: @end example
544:
545: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
546: @noindent
547: ChangeLog
548: @itemize @bullet
549: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
550: @item
551: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
552: @item
553: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
554: $B7OE}$@$C$F$$$J$+$C$?(B.
555: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
556: @item
557: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
558: builtin/gr.c 1.56--1.57,
559: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
560: builtin/dp.c 1.46--1.48 (parse_gr_option),
561: engine/Fgfs.c 1.20,
562: engine/dist.c 1.27--1.28
563: engine/nd.c 1.89,
564: include/ca.h 1.42--1.43,
565: io/pexpr.c 1.28,
566: io/sexpr.c 1.26,
567: parse/arith.c 1.11,
568: parse/glob.c 1.44-1.45,
569: parse/lex.c 1.29,
570: parse/parse.h 1.23--1.26
1.5 takayama 571: @item
572: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
573: attribute, ring $B9=B$BN(B.
1.1 takayama 574: @end itemize
575:
576: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
577: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.3 takayama 578: @node asir-install.sh,,, $B<B83E*;EMM$N4X?t(B
579: @subsection @code{asir-port.sh}, @code{asir-install.sh}
580: @findex asir-port.sh
581: @findex asir-install.sh
1.1 takayama 582:
583: @comment --- $B4X?t$N4JC1$J@bL@(B ---
584: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
585: @table @t
1.3 takayama 586: @item asir-install.sh
587: @itemx asir-port.sh
588: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
589: @end table
590:
591:
592: @itemize @bullet
593: @item
594: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1.10 ohara 595: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1.3 takayama 596: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
597: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
598: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
599: @item
600: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
601: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
602: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
603: @end itemize
604:
605:
606: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
607: @noindent
608: ChangeLog
609: @itemize @bullet
610: @item
611: $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B.
612: @item
613: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
614: @item
615: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
616: 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.)
617: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
618: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
619: @end itemize
620:
1.4 takayama 621:
622: @node get_struct_name,,, $B<B83E*;EMM$N4X?t(B
623: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
624: @findex get_struct_name
625: @findex get_element_names
626: @findex get_element_at
627: @findex put_element_at
628:
629: @comment --- $B4X?t$N4JC1$J@bL@(B ---
630: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
631: @table @t
632: @item get_struct_name(@var{s})
633: @itemx get_element_names(@var{s})
634: @itemx get_element_at(@var{s},@var{key})
635: @itemx put_element_at(@var{s},@var{key},@var{obj})
636: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
637: @end table
638:
639: @table @var
640: @item return
641: $BJ8;zNs(B (get_struct_name),
642: $BJ8;zNs$N%j%9%H(B (get_element_names),
643: $B%*%V%8%'%/%H(B (get_element_at),
644: $B%*%V%8%'%/%H(B (put_element_at)
645: @item s
646: $B9=B$BN(B
647: @item key
648: $BJ8;zNs(B
649: @item obj
650: $B%*%V%8%'%/%H(B
651: @end table
652:
653: @itemize @bullet
654: @item
655: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
656: @item
657: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
658: @item
659: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
660: @item
661: @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.
662: @end itemize
663:
664: @example
665: [219] struct point { x, y, color};
666: [220] P = newstruct(point);
667: {0,0,0}
668: [221] P->x = 10$ P->y=5$ P->color="red"$
669: [222] get_element_names(P);
670: [x,y,color]
671: [223] put_element_at(P,"color","blue");
672: blue
673: [224] P->color;
674: bule
675: @end example
676:
677: @table @t
678: @item $B;2>H(B
679: @ref{newstruct}, @ref{struct}
680: @end table
681:
682: @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
683: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
684: @noindent
685: ChangeLog
686: @itemize @bullet
687: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
688: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
689: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
690: @end itemize
691:
1.6 takayama 692: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
693: @node dp_weyl_gr_main,,, $B<B83E*;EMM$N4X?t(B
694: @subsection @code{dp_weyl_gr_main}
695: @findex dp_weyl_gr_main
696:
697: @comment --- $B4X?t$N4JC1$J@bL@(B ---
698: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
699: @table @t
700: @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})
701: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
702: @end table
703:
704: @table @var
705: @item return
706: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
707: @item f
708: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
709: @item vv
710: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
711: @item oo
712: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
713: @item n
714: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
715: @item m
716: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
717: @item b
718: ???
719: @item sw
720: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
721: @end table
722:
723: @itemize @bullet
724: @item
725: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
726: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
727: $B7OE}$@$C$F$$$J$+$C$?(B.
728: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
729: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
730: @item
731: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
732: K[x_1, ..., x_n, d_1, ..., d_n]
733: $B$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
734: 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.
735: $B$^$?(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.
736: @item
737: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
738: K[x_1, ..., x_n, d_1, ..., d_n, h]
739: $B$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
740: d_i x_i = x_i d_i + h^2
741: $B$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.
742: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
743: @end itemize
744:
745: @example
746: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
747: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
748: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1.7 takayama 749: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
750: ...
1.6 takayama 751: [1238] FF=map(dp_ptod,F[0],V);
752: [(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]
753:
754: [1244] FF=map(dp_ptod,F[0],V);
755: [(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>>]
756:
757: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
758:
1.7 takayama 759: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1.6 takayama 760: [ 0 0 0 0 1 1 1 1 ]
761: [ R R R R R R R R ]
1.7 takayama 762: ...
1.6 takayama 763:
764: @end example
765:
766: @table @t
767: @item $B;2>H(B
768: @ref{dp_gr_main}
769: @end table
770:
771: @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
772: @noindent
773: ChangeLog
774: @itemize @bullet
775: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
776: @item
777: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
778: builtin/dp-supp.c 1.32--1.33
779: builtin/dp.c 1.49--1.50
780: @end itemize
781:
782: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
783: @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B
784: @subsection @code{dp_initial_term}
785: @findex dp_initial_term
786:
787: @comment --- $B4X?t$N4JC1$J@bL@(B ---
788: @table @t
789: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
790: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
791: @end table
792:
793: @table @var
794: @item return
795: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
796: @item f
797: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
798: @item vv
799: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
800: @item oo
801: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
802: @end table
803:
804: @itemize @bullet
805: @item
806: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
807: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
808: $B$H=q$+$l$F$$$k(B.
809: @item
810: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
811: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
812: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
813: @item
814: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
815: @end itemize
816:
817: @example
818: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
819: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
820: [1220] dp_initial_term(F | order=[[1,1,1]]);
821: [ 1 1 1 ]
822: [ R R R ]
823: (1)*<<2,0,0>>+(1)*<<1,1,0>>
824: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
825: [ 1 0 0 ]
826: [ R R R ]
827: (1)*<<2,0,0>>
828: @end example
829:
830: @table @t
831: @item $B;2>H(B
832: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
833: @end table
834:
835: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
836: @noindent
837: ChangeLog
838: @itemize @bullet
839: @item
840: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
841: builtin/dp-supp.c 1.32
842: builtin/dp.c 1.49
843: @end itemize
844:
845: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
846: @node dp_order,,, $B<B83E*;EMM$N4X?t(B
847: @subsection @code{dp_order}
848: @findex dp_order
849:
850: @comment --- $B4X?t$N4JC1$J@bL@(B ---
851: @table @t
852: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
853: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
854: @end table
855:
856: @table @var
857: @item return
858: $B?t$+?t$N%j%9%H(B
859: @item f
860: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
861: @item vv
862: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
863: @item oo
864: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
865: @end table
866:
867: @itemize @bullet
868: @item
869: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
870: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
871: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
872: @item
873: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
874: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
875: $B$H=q$/O@J8$d652J=q$b$"$k(B.
876: @item
877: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
878: @end itemize
879:
880: @example
881: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
882: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
883: [1222] dp_order(F | order=[[1,1,1]]);
884: [ 1 1 1 ]
885: [ R R R ]
886: 2
887: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
888: [ 1 0 0 ]
889: [ R R R ]
890: @end example
891:
892: @table @t
893: @item $B;2>H(B
894: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
895: @end table
896:
897: @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
898: @noindent
899: ChangeLog
900: @itemize @bullet
901: @item
902: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
903: builtin/dp-supp.c 1.32
904: builtin/dp.c 1.49
905: @end itemize
906:
1.8 takayama 907:
908: @comment mapat
909: @node mapat,,, $B<B83E*;EMM$N4X?t(B
910: @subsection @code{mapat}
911: @findex mapat
912:
913: @table @t
914: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
915: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
916: @end table
917:
918: @table @var
919: @item return
920: $B%*%V%8%'%/%H(B
921: @item pos
922: $B@0?t(B
923: @item arg0, arg1, arg2, ...
924: $B%*%V%8%'%/%H(B
925: @end table
926:
927: @itemize @bullet
928: @item
929: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
930: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
931: @item
932: @code{mapat(fname,0,A0,A1,...)} $B$O(B
933: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
934: @item
935: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
936: @end itemize
937:
938: @example
939: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
940: [2,3]
1.10 ohara 941: [220] mapat(subst,1,x+y+z,[x,y,z],2);
942: [y+z+2,x+z+2,x+y+2]
1.8 takayama 943: @end example
944:
945: @table @t
946: @item $B;2>H(B
947: @ref{map}
948: @end table
949:
950: @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
951: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
952: @noindent
953: ChangeLog
954: @itemize @bullet
955: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
956: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
957: @end itemize
958:
959: @comment list
960: @node list,,, $B<B83E*;EMM$N4X?t(B
961: @subsection @code{list}
962: @findex list
963:
964: @table @t
965: @item list([@var{arg0}, @var{arg1}, ...])
966: :: list $B$r@8@.$9$k(B.
967: @end table
968:
969: @table @var
970: @item return
971: $B%j%9%H(B
972: @item arg0, arg1, arg2, ...
973: $B%*%V%8%'%/%H(B
974: @end table
975:
976: @itemize @bullet
977: @item
978: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
979: @end itemize
980:
981: @example
982: [219] list(1,2,3);
983: [1,2,3]
984: [220] list(1,2,[3,4]);
985: [1,2,[3,4]]
986: @end example
987:
988: @table @t
989: @item $B;2>H(B
990: @ref{cons}
991: @end table
992:
993: @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
994: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
995: @noindent
996: ChangeLog
997: @itemize @bullet
998: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
999: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1000: @end itemize
1001:
1.9 takayama 1002:
1003: @node set_print_function,,, $B<B83E*;EMM$N4X?t(B
1004: @subsection @code{set_print_function}
1005: @findex set_print_function
1006:
1007: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1008: @table @t
1009: @item set_print_function([@var{fname}])
1010: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
1011: @end table
1012:
1013: @table @var
1014: @item return
1015: $B@0?t(B
1016: @item fname
1017: $BJ8;zNs(B
1018: @end table
1019:
1020: @itemize @bullet
1021: @item
1022: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1023: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1024: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1025: @end itemize
1026:
1027: @example
1028: [219] def my_output(F) {
1029: print("Out: ",0); print(rtostr(F));
1030: }
1031: [220] set_print_function("my_output");
1032: Out: 0
1033: [221] 1+2;
1034: Out: 3
1035: @end example
1036:
1037: @table @t
1038: @item $B;2>H(B
1039: @ref{rtostr}
1040: @end table
1041:
1042: @noindent
1043: ChangeLog
1044: @itemize @bullet
1045: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1046: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1047: @end itemize
1.8 takayama 1048:
1049:
1.12 takayama 1050: @node small_jacobi,,, $B<B83E*;EMM$N4X?t(B
1051: @subsection @code{small_jacobi}
1052: @findex small_jacobi
1053:
1054: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1055: @table @t
1056: @item small_jacobi(@var{a},@var{m})
1057: :: Jacobi $B5-9f$N7W;;(B
1058: @end table
1059:
1060: @table @var
1061: @item return
1062: $B@0?t(B
1063: @item arg1, arg2
1064: $B@0?t(B
1065: @end table
1066:
1067: @itemize @bullet
1068: @item
1069: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
1070: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
1071: @item
1072: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
1073: @item
1074: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1075: @end itemize
1076:
1077: @example
1078: [1286] small_jacobi(2,3);
1079: -1
1080: [1287] small_jacobi(2,7);
1081: 1
1082: @end example
1083:
1084: @table @t
1085: @item $B;2>H(B
1086: http://members.jcom.home.ne.jp/yokolabo/asirlib/
1087: $B$b8+$F$M(B.
1088: @end table
1089:
1090: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1091: @noindent
1092: ChangeLog
1093: @itemize @bullet
1.13 takayama 1094: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1095: @end itemize
1096:
1097:
1.20 takayama 1098: @node flatten_quote,,, $B<B83E*;EMM$N4X?t(B
1099: @subsection @code{flatten_quote}
1100: @findex flatten_quote
1.13 takayama 1101:
1102: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1103: @table @t
1.20 takayama 1104: @item flatten_quote(@var{q},@var{op})
1.13 takayama 1105: :: quote $B$N3g8L$r$H$j$5$k(B.
1106: @end table
1107:
1108: @table @var
1109: @item return
1110: Quote
1111: @item q
1112: Quote
1113: @item op
1114: $B1i;;;R$rI=$9J8;zNs(B.
1115: @end table
1116:
1117: @itemize @bullet
1118: @item
1119: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
1120: ( quotetolist $B;2>H(B ).
1121: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
1122: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
1123: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
1124: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
1125: @item
1126: $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
1.20 takayama 1127: 1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
1128: $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
1129: @item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
1130: + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
1131: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.13 takayama 1132: @end itemize
1133:
1134: @example
1135: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
1136: quote(1+2+3+4*(x+3))
1137: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
1138: quote(x*y*p*3-x*y*z)
1139: [1290] quotetolist(quote(1+2+3));
1140: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
1141: @end example
1142:
1143: @table @t
1144: @item $B;2>H(B
1145: @ref{quotetolist}, @ref{print_tex_form}(contrib)
1146: @end table
1147:
1148: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1149: @noindent
1150: ChangeLog
1151: @itemize @bullet
1152: @item
1153: $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
1154: quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
1155: OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B
1156: $B1~MQ(B.
1157: @item
1158: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
1159: builtin/strobj.c 1.47,
1.14 takayama 1160: parse/eval.c 1.35,
1161: parse/parse.h 1.31,
1162: parse/quote.c 1.14--1.16.
1163: @end itemize
1164:
1165: @node assoc,,, $B<B83E*;EMM$N4X?t(B
1166: @subsection @code{assoc}
1167: @findex assoc
1168:
1169: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1170: @table @t
1171: @item assoc(@var{a},@var{b})
1172: :: $BO"A[%j%9%H$r$D$/$k(B
1173: @end table
1174:
1175: @table @var
1176: @item return
1177: List
1178: @item a
1179: List
1180: @item b
1181: List
1182: @end table
1183:
1184: @itemize @bullet
1185: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
1186: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
1187: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1188: @end itemize
1189:
1190: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
1191: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
1192: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
1193:
1194: @example
1195: [1192] A=["dog","cat","snake"];
1196: [dog,cat,snake]
1197: [1193] B=[4,4,0];
1198: [4,4,0]
1199: [1194] assoc(A,B);
1200: [[dog,4],[cat,4],[snake,0]]
1201: @end example
1202:
1203: @table @t
1204: @item $B;2>H(B
1205: @ref{cons}, @ref{append}
1206: @end table
1207:
1208: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1209: @noindent
1210: ChangeLog
1211: @itemize @bullet
1212: @item
1213: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
1214: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
1215: builtin/list.c 1.9
1.13 takayama 1216: parse/eval.c 1.35,
1217: parse/parse.h 1.31,
1218: parse/quote.c 1.14--1.16.
1.12 takayama 1219: @end itemize
1.13 takayama 1220:
1.15 takayama 1221:
1222: @node sprintf,,, $B<B83E*;EMM$N4X?t(B
1223: @subsection @code{sprintf}
1224: @findex sprintf
1225:
1226: @table @t
1227: @item sprintf(@var{format}[,@var{args}])
1228: :: C $B$K;w$?%W%j%s%H4X?t(B
1229: @end table
1230:
1231: @table @var
1232: @item return
1233: $BJ8;zNs(B
1234: @item format
1235: $BJ8;zNs(B
1236: @item args
1237: $B%*%V%8%'%/%H(B
1238: @end table
1239:
1240: @itemize @bullet
1241: @item
1242: $B%U%)!<%^%C%HJ8;zNs(B @var{format } $B$K$7$?$,$$(B @var{args} $B$rJ8;zNs$KJQ49$9$k(B.
1243: @item
1244: $B%U%)!<%^%C%HJ8;zNs$NCf$K(B @code{%a} (any) $B$,MxMQ2DG=(B.
1245: @var{args} $B$N8D?t$O%U%)!<%^%C%HJ8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1246: @end itemize
1247:
1248: @example
1249: [0] sprintf("%a: rat = %a",10,x^2-1);
1250: 10: rat = x^2-1
1251: @end example
1252:
1253: @table @t
1254: @item $B;2>H(B
1255: @ref{rtostr}
1256: @end table
1257:
1258: @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
1259: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1260: @noindent
1261: ChangeLog
1262: @itemize @bullet
1263: @item
1264: $B$3$N4X?t$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1265: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
1266: @item
1267: @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
1268: @end itemize
1269:
1270:
1271: @node quote_to_funargs,,, $B<B83E*;EMM$N4X?t(B
1272: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
1273: @findex quote_to_funargs
1274: @findex funargs_to_quote
1275: @findex remove_paren
1276:
1277: @table @t
1278: @item quote_to_funargs(@var{q})
1279: :: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
1280: @item funargs_to_quote(@var{f})
1281: :: funarg $B7A<0$r(B quote $B$X(B.
1.19 takayama 1282: @item get_function_name(@var{f})
1283: :: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
1.15 takayama 1284: @item remove_paren(@var{q})
1285: :: $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
1286: @end table
1287:
1288: @table @var
1289: @item return
1290: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
1291: @item q
1292: quote
1293: @item f
1294: $B%j%9%H(B
1295: @end table
1296:
1297: @itemize @bullet
1298: @item
1299: @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
1300: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
1301: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
1302: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
1303: @item
1.19 takayama 1304: @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
1305: $B$J$k7A<0$r$7$F$$$k(B.
1306: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
1307: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
1308: $B$G<h$j$@$;$k(B.
1309: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
1310: $B$O(B "+" $B$rLa$9(B.
1311: @item
1312: $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.15 takayama 1313: @item
1314: $B2<$NNc$G(B
1315: quote_to_funargs(FA[2]);
1316: [34,[b_op,+,[internal,x],[internal,1]]]
1.19 takayama 1317: $B$H$J$k(B.
1318: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
1319: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
1320: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
1321: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
1322: I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
1323: I_PRESELF, I_POSTSELF,
1324: I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
1325: I_ANS, I_PVAR, I_ASSPVAR,
1326: I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
1327: I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
1328: I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
1329: I_NARYOP
1.15 takayama 1330: @end itemize
1331:
1332: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
1333: @example
1334: [0] ctrl("print_quote",1) $
1335:
1336: [1] Q=quote((x+1)+(x+2));
1337: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
1338: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
1339:
1340: [2] FA=quote_to_funargs(Q);
1341: [0,<...quoted...>,
1342: [u_op,(),[b_op,+,[internal,x],[internal,1]]],
1343: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
1344:
1345: [3] FA2=quote_to_funargs(FA[2])[1];
1346: [b_op,+,[internal,x],[internal,1]]
1347:
1348: [4] FA3=quote_to_funargs(FA[3])[1];
1349: [b_op,+,[internal,x],[internal,2]]
1350:
1351: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
1352: [b_op,+,[b_op,+,[internal,x],[internal,1]],
1353: [b_op,+,[internal,x],[internal,2]]]
1354: @end example
1355:
1356: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
1357: @example
1358: [1287] load("noro_simplify.rr");
1359: 1
1360: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
1361: quote(f(1-x))
1362: @end example
1363:
1.19 takayama 1364: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
1365: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
1366: @example
1367: [1184] R=quote_to_funargs(quote(a+(b+c)));
1368: [0,<...quoted...>,<...quoted...>,<...quoted...>]
1369: [1185] T=quote_to_funargs(quote(1+2));
1370: [0,<...quoted...>,<...quoted...>,<...quoted...>]
1371: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
1372: quote(a+1)
1373: @end example
1374:
1.15 takayama 1375: @table @t
1376: @item $B;2>H(B
1377: @ref{quotetolist}
1378: @end table
1379:
1.17 takayama 1380:
1.15 takayama 1381: @noindent
1382: ChangeLog
1383: @itemize @bullet
1384: @item
1385: $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
1386: $B$N<B83E*4X?t$G$"$k(B.
1387: $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
1388: @item
1389: $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
1390: @item
1391: 2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
1392: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
1.19 takayama 1393: @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
1394: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.17 takayama 1395: @end itemize
1396:
1397: @node set_secure_flag,,, $B<B83E*;EMM$N4X?t(B
1398: @subsection @code{set_secure_flag}, @code{set_secure_mode}
1399: @findex set_secure_flag
1400: @findex set_secure_mode
1401:
1402: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1403: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1404: @table @t
1405: @item set_secure_flag(@var{fname},@var{m})
1406: @itemx set_secure_mode(@var{m})
1407: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1408: @end table
1409:
1410: @table @var
1411: @item return
1412: $B@0?t(B
1413: @item fname
1414: $BJ8;zNs(B
1415: @item m
1416: $B@0?t(B
1417: @end table
1418:
1419: @itemize @bullet
1.18 takayama 1420: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
1421: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
1422: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
1.17 takayama 1423: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
1424: $B4X?t$7$+<B9T$G$-$J$$(B.
1.18 takayama 1425: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
1.17 takayama 1426: $BG$0U$N4X?t$r<B9T$G$-$k(B.
1427: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
1428: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
1429: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
1430: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
1431: @item
1432: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
1433: $B$K$9$k(B.
1.18 takayama 1434: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
1.17 takayama 1435: @item
1436: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
1437: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
1438: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
1.18 takayama 1439: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
1440: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
1441: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.17 takayama 1442: @end itemize
1443:
1444: @example
1445: [1194] set_secure_flag("print_input_form_",1);
1446: 1
1447: [1195] set_secure_flag("fctr",1);
1448: 1
1449: [220] set_secure_mode(1);
1450: 1
1451: [1197] fctr((x-1)^3);
1452: [[1,1],[x-1,3]]
1453: [1198] fctr(shell("ls"));
1454: evalf : shell not permitted
1455: return to toplevel
1456: @end example
1457:
1458: @table @t
1459: @item $B;2>H(B
1460: @ref{timer}
1461: @end table
1462:
1463: @noindent
1464: ChangeLog
1465: @itemize @bullet
1.18 takayama 1466: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
1467: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
1468: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
1469: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
1470: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
1471: $B4X?t$7$+<B9T$G$-$J$$(B.
1472: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
1473: $BG$0U$N4X?t$r<B9T$G$-$k(B.
1.17 takayama 1474: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
1475: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
1476: $BMxMQ$9$k(B.
1477: cgi-asir.sh $B$G$O(B
1478: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
1479: @item
1480: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
1481: @item
1482: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
1483: @item
1484: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
1485: @item
1486: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.15 takayama 1487: @end itemize
1.21 takayama 1488:
1.22 takayama 1489: @node initialize_static_variable,,, $B<B83E*;EMM$N4X?t(B
1490: @subsection @code{initialize_static_variable}
1491: @findex initialize_static_variable
1.21 takayama 1492:
1493:
1494: @comment --- $B@bL@(B ---
1495: @table @t
1.22 takayama 1496: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.21 takayama 1497: @end table
1498:
1499:
1500: @itemize @bullet
1501: @item static $BJQ?t$N<h07(B.
1502: $B2<$NNc$r;2>H$N$3$H(B.
1503: @end itemize
1504:
1505:
1506: @example
1507: if (1) @{
1508: module abc;
1509: static A;
1510: A=1;
1511: endmodule;
1512: @} else @{ @};
1513:
1514: end$
1515: $B$r(B t.rr $B$H$9$k$H$-(B,
1516:
1517: [6] load("./t.rr");
1518: 1
1519: internal error (SEGV)
1520: $B$H$J$k(B.
1521:
1522: t.rr $B$r(B
1523: if (1) @{
1524: module abc;
1525: static A;
1526: localf initA;
1527: localf foo;
1528: def initA() @{
1529: A=1;
1530: @}
1531: initA();
1532: def foo() @{
1533: return A;
1534: @}
1535: endmodule;
1536: @} else @{ @};
1537:
1538: end$
1539: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1540: @end example
1541:
1542: @comment --- ChangeLog
1543: @noindent
1544: ChangeLog
1545: @itemize @bullet
1546: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
1.22 takayama 1547: @item oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
1.21 takayama 1548: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1549: @end itemize
1550:
1.23 ! takayama 1551: @node eval_quote,,, $B<B83E*;EMM$N4X?t(B
! 1552: @subsection @code{eval_quote}
! 1553: @findex eval_quote
! 1554:
! 1555: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1556: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1557: @table @t
! 1558: @item eval_quote(@var{Q});
! 1559: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
! 1560: @end table
! 1561:
! 1562: @table @var
! 1563: @item return
! 1564: $B%*%V%8%'%/%H(B
! 1565: @item Q
! 1566: quote$B7?(B
! 1567: @end table
! 1568:
! 1569: @itemize @bullet
! 1570: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
! 1571: @item $B5U4X?t$O(B @code{objtoquote}
! 1572: @end itemize
! 1573:
! 1574: @example
! 1575: ctrl("print_quote",2);
! 1576: A=quote((x-1)^2+(x-1)+3);
! 1577: $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
! 1578: eval_quote(A);
! 1579: $B=PNO(B: x^2-x+3
! 1580: print_input_form(A); /* asir-contrib */
! 1581: $B=PNO(B: quote((x-1)^2+(x-1)+3)
! 1582: @end example
! 1583:
! 1584: @table @t
! 1585: @item $B;2>H(B
! 1586: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
! 1587: @ref{quote_to_funargs}, @ref{funargs_to_quote}
! 1588: @end table
! 1589:
! 1590: @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
! 1591: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1592: @noindent
! 1593: ChangeLog
! 1594: @itemize @bullet
! 1595: @item -----$B$^$@=q$$$F$J$$(B.
! 1596: @end itemize
! 1597:
! 1598:
! 1599: @node nqt_match,,, $B<B83E*;EMM$N4X?t(B
! 1600: @subsection @code{nqt_match}
! 1601: @findex nqt_match
! 1602:
! 1603: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1604: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1605: @table @t
! 1606: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
! 1607: :: @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$$$H(B 0 $B$rLa$9(B.
! 1608: @end table
! 1609:
! 1610: @table @var
! 1611: @item return
! 1612: $B@0?t(B
! 1613: @item Expr
! 1614: quote$B7?(B
! 1615: @item Pattern
! 1616: quote$B7?(B
! 1617: @item Mode
! 1618: $B@0?t(B
! 1619: @end table
! 1620:
! 1621: @itemize @bullet
! 1622: @item @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
! 1623: @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.
! 1624: @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$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
! 1625: @item @var{Mode} $B$K$h$jE83+J}K!$r;XDj$7(B, $B$=$NE83+J}K!$K$h$jF@$i$l$?(B @var{Expr} $B$N(B
! 1626: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
! 1627: @end itemize
! 1628:
! 1629: @example
! 1630: ctrl("print_quote",2);
! 1631: A=quote((x-y)*(x+y));
! 1632: nqt_match(A,quote(P*Q));
! 1633: [P,Q]
! 1634: $B=PNO(B: [x-y, x+y]
! 1635: nqt_match(A,quote(P*Q),1);
! 1636: $B%^%C%A$7$J$$(B.
! 1637: nqt_match(A,quote(P*Q),2);
! 1638: $B%^%C%A$7$J$$(B.
! 1639: qt_normalize(A,1);
! 1640: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
! 1641: qt_normalize(A,2);
! 1642: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
! 1643: @end example
! 1644:
! 1645: @table @t
! 1646: @item $B;2>H(B
! 1647: @ref{nqt_match_rewrite},
! 1648: @ref{qt_rewrite}
! 1649: @end table
! 1650:
! 1651: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
! 1652: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1653: @noindent
! 1654: ChangeLog
! 1655: @itemize @bullet
! 1656: @item ----- $B$^$@=q$$$F$J$$(B.
! 1657: @end itemize
! 1658:
! 1659:
! 1660: @node nqt_match_rewrite,,, $B<B83E*;EMM$N4X?t(B
! 1661: @subsection @code{nqt_match_rewrite}
! 1662: @findex nqt_match_rewrite
! 1663:
! 1664: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1665: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1666: @table @t
! 1667: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
! 1668: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
! 1669: @end table
! 1670:
! 1671: @table @var
! 1672: @item return
! 1673: quote$B7?(B
! 1674: @item Expr
! 1675: quote$B7?(B
! 1676: @item Rule
! 1677: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
! 1678: [@var{Pattern},@var{Condition},@var{Action}].
! 1679: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
! 1680: @item Mode
! 1681: $B@0?t(B
! 1682: @end table
! 1683:
! 1684: @itemize @bullet
! 1685: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
! 1686: @var{Exprt} $B<+BN$rLa$9(B.
! 1687: @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$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
! 1688: @end itemize
! 1689:
! 1690: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
! 1691: @example
! 1692: ctrl("print_quote",2);
! 1693: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
! 1694: $B=PNO(B: (x)+((y)*(z))
! 1695: A=`x*x;
! 1696: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
! 1697: $B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B)
! 1698: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
! 1699: $B=PNO(B: 2*x
! 1700:
! 1701: $BE,9g$K$D$$$F$N%b!<%I$N0c$$$rM}2r$9$k$?$a$K<!$NNc$*$h$S(B fnode$BI8=`7A(B(qt_normalize) $B$r;2>H(B.
! 1702: quotetolist(qt_normalize(`x*x,0));
! 1703: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
! 1704: quotetolist(qt_normalize(`x*x,1));
! 1705: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
! 1706: quotetolist(qt_normalize(`x*x,2));
! 1707: $B=PNO(B: [n_op,*,[internal,x],[internal,x]]
! 1708: @end example
! 1709:
! 1710: @table @t
! 1711: @item $B;2>H(B
! 1712: @ref{nqt_match},
! 1713: @ref{qt_rewrite},
! 1714: @ref{qt_normalize}
! 1715: @end table
! 1716:
! 1717: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
! 1718: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1719: @noindent
! 1720: ChangeLog
! 1721: @itemize @bullet
! 1722: @item -----$B$^$@=q$$$F$J$$(B.
! 1723: @end itemize
! 1724:
! 1725:
! 1726:
! 1727: @node qt_normalize,,, $B<B83E*;EMM$N4X?t(B
! 1728: @subsection @code{qt_normalize}
! 1729: @findex qt_normalize
! 1730:
! 1731: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1732: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1733: @table @t
! 1734: @item qt_normalize(@var{Expr}[,@var{Mode}])
! 1735: :: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
! 1736: @end table
! 1737:
! 1738: @table @var
! 1739: @item return
! 1740: quote$B7?(B
! 1741: @item Expr
! 1742: quote$B7?(B
! 1743: @item Mode
! 1744: $B@0?t(B
! 1745: @end table
! 1746:
! 1747: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
! 1748: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
! 1749: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
! 1750: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
! 1751:
! 1752: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
! 1753: fnode $B$NI8=`7A$r(B fn $B$H=q$/$H$-(B, $BI8=`7A$N(B BNF$BIwI=8=$G$NDj5A$O0J2<$N$H$*$j(B.
! 1754: @example
! 1755: fn = formula | functor(nf [,...]) | sum_of_monom
! 1756: fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
! 1757: sum_of_monom = monom [+ ...]
! 1758: $B%b%N%_%"%k$NOB(B
! 1759: monom = [formula *] nfpow [* ...]
! 1760: $B%b%N%_%"%k(B
! 1761: nfpow = nf | nf^(nf)
! 1762: $BQQ>hItJ,$NI8=`7A(B
! 1763: formula = Risa object
! 1764: @end example
! 1765:
! 1766:
! 1767: @itemize @bullet
! 1768: @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.
! 1769: @item $BE83+$O:F5"E*$G$"$k(B.
! 1770: @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
! 1771: (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
! 1772: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
! 1773: @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.
! 1774: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
! 1775: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
! 1776: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
! 1777: @end itemize
! 1778:
! 1779: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
! 1780: @comment %%cfep/tests/2006-03-12-qt.rr
! 1781: @example
! 1782: ctrl("print_quote",2);
! 1783: A=quote((x-y)*(x+y));
! 1784: $B=PNO(B: ((x)-(y))*((x)+(y))
! 1785: B=qt_normalize(A,0);
! 1786: $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
! 1787: quotetolist(B);
! 1788: $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
! 1789:
! 1790: B=qt_normalize(A,1);
! 1791: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
! 1792: Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
! 1793: quotetolist(B);
! 1794: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
! 1795:
! 1796: qt_normalize(A,2);
! 1797: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
! 1798: Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
! 1799: quotetolist(B);
! 1800: $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]]]
! 1801:
! 1802: qt_normalize(`x^2,2);
! 1803: $B=PNO(B: (x)*(x)
! 1804: Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
! 1805: @end example
! 1806:
! 1807: @table @t
! 1808: @item $B;2>H(B
! 1809: @ref{nqt_match},
! 1810: @ref{nqt_match_rewrite},
! 1811: @ref{quotetolist},
! 1812: @ref{quote_to_funargs}
! 1813: @end table
! 1814:
! 1815: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
! 1816: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1817: @noindent
! 1818: ChangeLog
! 1819: @itemize @bullet
! 1820: @item
! 1821: @end itemize
! 1822:
! 1823:
! 1824: @node qt_set_coef,,, $B<B83E*;EMM$N4X?t(B
! 1825: @subsection @code{qt_set_coef}
! 1826: @findex qt_set_coef
! 1827:
! 1828: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1829: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1830: @table @t
! 1831: @item qt_set_coef(@var{ParamList})
! 1832: :: $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
! 1833: $BHs2D49B?9`<0$r07$&(B.
! 1834: @end table
! 1835:
! 1836: @table @var
! 1837: @item return
! 1838: $B%j%9%H(B
! 1839: @item ParamList
! 1840: $B%j%9%H(B
! 1841: @end table
! 1842:
! 1843: @itemize @bullet
! 1844: @item $B0J2<(B @var{ParamList} $B$K8=$l$kB?9`<0JQ?t$rJQ?t$H$9$kM-M}4X?tBN$r78?t$H$9$k(B
! 1845: $BHs2D49B?9`<0$r07$&(B.
! 1846: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
! 1847: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
! 1848: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
! 1849: @end itemize
! 1850:
! 1851: @example
! 1852: ctrl("print_quote",2);
! 1853: qt_set_coef([a]);
! 1854: B=qt_normalize(quote((a*x+a)^2),2);
! 1855: $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
! 1856: qt_normalize(B+B,2);
! 1857: $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
! 1858: @end example
! 1859:
! 1860: @table @t
! 1861: @item $B;2>H(B
! 1862: @ref{qt_normalize}
! 1863: @end table
! 1864:
! 1865: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
! 1866: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1867: @noindent
! 1868: ChangeLog
! 1869: @itemize @bullet
! 1870: @item -----$B$^$@=q$$$F$J$$(B.
! 1871: @end itemize
! 1872:
! 1873:
! 1874: @node qt_set_ord,,, $B<B83E*;EMM$N4X?t(B
! 1875: @subsection @code{qt_set_ord}
! 1876: @findex qt_set_ord
! 1877:
! 1878: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1879: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1880: @table @t
! 1881: @item qt_set_ord(@var{VarList})
! 1882: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
! 1883: @end table
! 1884:
! 1885: @table @var
! 1886: @item return
! 1887: $B%j%9%H(B
! 1888: @item VarList
! 1889: $B%j%9%H(B
! 1890: @end table
! 1891:
! 1892: @itemize @bullet
! 1893: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
! 1894: @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$$$F9`$rHf3S$9$k(B.
! 1895: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
! 1896: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
! 1897: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
! 1898: @end itemize
! 1899:
! 1900: @example
! 1901: ctrl("print_quote",2);
! 1902: qt_normalize(quote(x+y),2);
! 1903: $B=PNO(B: (x)+(y)
! 1904: qt_set_ord([y,x]);
! 1905: $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
! 1906: qt_normalize(quote(x+y),2);
! 1907: $B=PNO(B: (y)+(x)
! 1908: @end example
! 1909:
! 1910: @table @t
! 1911: @item $B;2>H(B
! 1912: @ref{qt_normalize},
! 1913: @ref{nqt_comp}
! 1914: @end table
! 1915:
! 1916: @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
! 1917: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1918: @noindent
! 1919: ChangeLog
! 1920: @itemize @bullet
! 1921: @item -----$B$^$@=q$$$F$J$$(B.
! 1922: @end itemize
! 1923:
! 1924:
! 1925: @node qt_set_weight,,, $B<B83E*;EMM$N4X?t(B
! 1926: @subsection @code{qt_set_weight}
! 1927: @findex qt_set_weight
! 1928:
! 1929: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1930: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1931: @table @t
! 1932: @item qt_set_weight(@var{WeightVector})
! 1933: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
! 1934: @end table
! 1935:
! 1936: @table @var
! 1937: @item return
! 1938: $B%j%9%H(B
! 1939: @item WeightVector
! 1940: $B%j%9%H(B
! 1941: @end table
! 1942:
! 1943: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
! 1944: @example
! 1945: f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
! 1946: $B$D$$$F$O$=$NCM(B.
! 1947:
! 1948: f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
! 1949: w(f+g) = max(w(f),w(g))
! 1950: w(f g) = w(f) + w(g)
! 1951: w(f^n) = n w(f)
! 1952: $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
! 1953: @end example
! 1954:
! 1955: @itemize @bullet
! 1956: @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.
! 1957: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
! 1958: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
! 1959: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
! 1960: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
! 1961: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
! 1962: @end itemize
! 1963:
! 1964: @example
! 1965: ctrl("print_quote",2);
! 1966: qt_set_weight([[x,-1],[y,-1]]);
! 1967: $B7k2L(B: [[x,-1],[y,-1]]
! 1968: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
! 1969: $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
! 1970: @end example
! 1971:
! 1972: @table @t
! 1973: @item $B;2>H(B
! 1974: @ref{qt_normalize},
! 1975: @ref{qt_set_ord},
! 1976: @ref{qt_set_weight},
! 1977: @ref{dp_gr_main}
! 1978: @end table
! 1979:
! 1980: @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
! 1981: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1982: @noindent
! 1983: ChangeLog
! 1984: @itemize @bullet
! 1985: @item
! 1986: @end itemize
! 1987:
! 1988:
! 1989: @node nqt_comp,,, $B<B83E*;EMM$N4X?t(B
! 1990: @subsection @code{nqt_comp}
! 1991: @findex nqt_comp
! 1992:
! 1993: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1994: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 1995: @table @t
! 1996: @item nqt_cmp(@var{Expr1},@var{Exprt2})
! 1997: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
! 1998: @end table
! 1999:
! 2000: @table @var
! 2001: @item return
! 2002: $B@0?t(B
! 2003: @item Expr1, Expr2
! 2004: quote$B7?(B
! 2005: @end table
! 2006:
! 2007: @itemize @bullet
! 2008: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
! 2009: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
! 2010: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
! 2011: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
! 2012: @end itemize
! 2013:
! 2014: @example
! 2015: ctrl("print_quote",2);
! 2016: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
! 2017: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
! 2018: $B=PNO(B: [-1,1,0]
! 2019: @end example
! 2020:
! 2021: @table @t
! 2022: @item $B;2>H(B
! 2023: @ref{qt_normalize},
! 2024: @ref{qt_set_ord},
! 2025: @ref{qt_set_weight}
! 2026: @end table
! 2027:
! 2028: @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
! 2029: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 2030: @noindent
! 2031: ChangeLog
! 2032: @itemize @bullet
! 2033: @item $B$^$@=q$$$F$J$$(B.
! 2034: @end itemize
! 2035: @comment ****************************************************************
! 2036:
! 2037: @node qt_is_var,,, $B<B83E*;EMM$N4X?t(B
! 2038: @subsection @code{qt_is_var}, @code{qt_is_coef}
! 2039: @findex qt_is_var
! 2040: @findex qt_is_coef
! 2041:
! 2042: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 2043: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 2044: @table @t
! 2045: @item qt_is_var(@var{Expr})
! 2046: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
! 2047: @item qt_is_coef(@var{Expr})
! 2048: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
! 2049: @end table
! 2050:
! 2051: @table @var
! 2052: @item return
! 2053: $B@0?t(B
! 2054: @item Expr
! 2055: quote$B7?(B
! 2056: @end table
! 2057:
! 2058: @itemize @bullet
! 2059: @item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
! 2060: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
! 2061: @end itemize
! 2062:
! 2063: @example
! 2064: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
! 2065: $B=PNO(B: [1,0]
! 2066: @end example
! 2067:
! 2068: @table @t
! 2069: @item $B;2>H(B
! 2070: @ref{qt_rewrite},
! 2071: @ref{nqt_match_rewrite}
! 2072: @end table
! 2073:
! 2074: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
! 2075: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 2076: @noindent
! 2077: ChangeLog
! 2078: @itemize @bullet
! 2079: @item -----$B$^$@=q$$$F$J$$(B.
! 2080: @end itemize
! 2081: @comment ****************************************************************
! 2082:
! 2083: @node qt_rewrite,,, $B<B83E*;EMM$N4X?t(B
! 2084: @subsection @code{qt_rewrite}
! 2085: @findex qt_rewrite
! 2086:
! 2087: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 2088: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 2089: @table @t
! 2090: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
! 2091: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
! 2092: @end table
! 2093:
! 2094: @table @var
! 2095: @item return
! 2096: quote$B7?(B
! 2097: @item Expr
! 2098: quote$B7?(B
! 2099: @item Rules
! 2100: $B%j%9%H(B
! 2101: @item Mode
! 2102: $B@0?t(B
! 2103: @end table
! 2104:
! 2105: @itemize @bullet
! 2106: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
! 2107: @code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B.
! 2108: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
! 2109: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
! 2110: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
! 2111: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
! 2112: $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
! 2113: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
! 2114: @var{Pattern} $B$HF1$8=q$-J}(B.
! 2115: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
! 2116: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
! 2117: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
! 2118: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
! 2119: $B$5$l$F$+$i?k9T$5$l$k(B.
! 2120: @end itemize
! 2121:
! 2122: $BCm0U(B: $B?t3XE*$K$O(B X*Y=Y*X $B$,2D49@-$rM?$($k5,B'$@$,(B, $B$3$l$r$=$N$^$^5,B'$H$7$F(B
! 2123: $BM?$($k$H=q$-49$($,Dd;_$7$J$$(B. $B<!$NNc$G$O(B, $B>e$NNc$N$h$&$K=g=xHf3S$7(B, $B$?$H$($P(B,
! 2124: $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
! 2125: @example
! 2126: import("noro_rewrite.rr");
! 2127: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
! 2128: qt_rewrite(`(x-y)^2,R,2);
! 2129: $B=PNO(B: quote(x*x+-2*x*y+y*y)
! 2130: @end example
! 2131:
! 2132: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
! 2133: @example
! 2134: import("noro_rewrite.rr");
! 2135: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
! 2136: quote(-Y*X)];
! 2137: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
! 2138: Rext2=[quote(X*X),quote(0)];
! 2139: Rext=[Rext0,Rext1,Rext2];
! 2140: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
! 2141: $B=PNO(B: 2*x*y
! 2142:
! 2143: qt_set_coef([a,b,c,d]);
! 2144: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
! 2145: $B=PNO(B: (d*a-c*b)*x*y
! 2146:
! 2147: @end example
! 2148:
! 2149: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
! 2150: @example
! 2151: import("noro_rewrite.rr");
! 2152: qt_set_coef([a,b]);
! 2153: Rd1=[`d(X+Y), `d(X)+d(Y)];
! 2154: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
! 2155: Rd3=[`d(N), `qt_is_coef(N), `0];
! 2156: Rd4=[`d(x),`1];
! 2157: Rd=[Rd1,Rd2,Rd3,Rd4];
! 2158: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
! 2159: $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
! 2160: fctr(eval_quote(B));
! 2161: $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
! 2162: @end example
! 2163:
! 2164: @table @t
! 2165: @item $B;2>H(B
! 2166: @ref{nqt_match},
! 2167: @ref{nqt_match_rewrite},
! 2168: @ref{qt_normalize}
! 2169: @end table
! 2170:
! 2171: @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
! 2172: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 2173: @noindent
! 2174: ChangeLog
! 2175: @itemize @bullet
! 2176: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
! 2177: $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
! 2178: qt $B7O$N4X?t$,3+H/$5$l$?(B.
! 2179: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
! 2180: OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
! 2181: OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
! 2182: @item Todo: qt $B7O$N4X?t$rMQ$$$?$*$b$7$m$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B.
! 2183: @end itemize
! 2184: @comment ****************************************************************
1.13 takayama 2185:
1.23 ! takayama 2186: @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B.
1.19 takayama 2187: @comment ****************************************************************
1.8 takayama 2188: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 2189: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.4 takayama 2190: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
2191: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
2192: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
2193: @subsection @code{xyz_pqr}, @code{syz_stu}
2194: @findex xyz_pqr
2195: @findex xyz_stu
2196:
1.3 takayama 2197: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2198: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2199: @table @t
1.1 takayama 2200: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
2201: @itemx xyz_stu(@var{arg1},@var{arg2})
2202: :: xyz $B$K4X$9$kA`:n(B.
2203: @end table
2204:
2205: @table @var
2206: @item return
2207: $B@0?t(B
2208: @item arg1, arg2
2209: $B@0?t(B
2210: @item flag
2211: 0 $B$^$?$O(B 1
2212: @end table
2213:
2214: @itemize @bullet
1.3 takayama 2215: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 2216: @item
2217: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
2218: @item
2219: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
2220: @item
2221: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
2222: @end itemize
2223:
2224: @example
2225: [219] xyz_pqr(1,2);
2226: 3
2227: [220] xyz_pqr(1,2,1);
2228: 3
2229: 0
2230: [221] xyz_stu(1,2);
2231: 3
2232: @end example
2233:
2234: @table @t
2235: @item $B;2>H(B
2236: @ref{xyz_abc}
2237: @end table
2238:
1.3 takayama 2239: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2240: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 2241: @noindent
2242: ChangeLog
2243: @itemize @bullet
2244: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
2245: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
2246: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
2247: @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.
2248: @end itemize
1.19 takayama 2249: @comment ****************************************************************
1.1 takayama 2250:
2251: @comment --- $B$*$^$8$J$$(B ---
2252: @node Index,,, Top
2253: @unnumbered Index
2254: @printindex fn
2255: @printindex cp
2256: @iftex
2257: @vfill @eject
2258: @end iftex
2259: @summarycontents
2260: @contents
2261: @bye
2262: @comment --- $B$*$^$8$J$$=*$j(B ---
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