Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.12
1.12 ! takayama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.11 2004/06/30 09:30:44 ohara 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$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.9 takayama 41: @subtitle 2004 $BG/(B 6 $B7n(B
1.1 takayama 42:
43: @author by Risa/Asir comitters
44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
47: 2004. All rights reserved.
48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(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::
1.1 takayama 123: @end menu
124:
1.3 takayama 125: @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1 takayama 126: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
127: @comment --- section $BL>$r@53N$K(B ---
1.2 takayama 128: @node quotetotex quotetotex_env,,, $B<B83E*;EMM$N4X?t(B
129: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1 takayama 130: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2 takayama 131: @findex quotetotex
132: @findex quotetotex_env
1.1 takayama 133:
134: @comment --- $B4X?t$N4JC1$J@bL@(B ---
135: @table @t
1.2 takayama 136: @item quotetotex(@var{q})
137: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
138: @item quotetotex_env(@var{key},@var{value})
139: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
140: @item quotetotex_env()
141: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
142: @item quotetotex_env(0)
143: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1 takayama 144: @end table
145:
146: @comment --- $B0z?t$N4JC1$J@bL@(B ---
147: @table @var
148: @item return
1.2 takayama 149: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
150: @item q
151: quote
152: @item key
153: $BJ8;zNs(B
154: @item value
155: $B%*%V%8%'%/%H(B
1.1 takayama 156: @end table
157:
158: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
159: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
160: @comment --- @bullet $B$O9uE@IU$-(B ---
161: @itemize @bullet
162: @item
1.2 takayama 163: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
164: @item
165: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
166: @item
167: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
168: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
169: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3 takayama 170: 2$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 171: $B$r0UL#$9$k(B.
172: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
173: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
174: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
175: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
176: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
177: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
178: $BFbB"$:$_(B.
179: @item
1.5 takayama 180: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
181: @tex
182: $x_0, x_1, \cdots$
183: @end tex
184: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
185: x $B$NItJ,$rJQ99$9$k(B.
186: @item
187: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
188: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 189: @item
1.2 takayama 190: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 191: latex $B7A<0$KJQ49$9$k(B.
1.2 takayama 192: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
193: @tex
194: $x_0, x_1, \cdots$
195: @end tex
196: $B$K(B
197: $B8eH>$NH>J,$r(B
198: @tex
199: $\partial_0, \partial_1, \cdots$
200: @end tex
201: $B$KJQ49$9$k(B.
202: $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 203: @item
204: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
205: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
206: @item
207: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.2 takayama 208: @item
209: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
210: @item
211:
1.1 takayama 212: @end itemize
213:
214: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
215: @example
1.2 takayama 216: [3] quotetotex(quote(1/(x+1)));
217: \frac@{ 1@} @{ ( @{x@}+ 1)@}
218: [4] quotetotex(objtoquote(diff(x^x,x)));
219: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
220: [5] quotetotex_env("conv_rule",3);
221: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
222: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 223: @end example
224:
225: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
226: @table @t
227: @item $B;2>H(B
1.2 takayama 228: @ref{objtoquote}
1.3 takayama 229: print_tex_form(contrib)
1.1 takayama 230: @end table
231:
232: @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
233: @noindent
234: ChangeLog
235: @itemize @bullet
1.5 takayama 236: @item
237: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
238: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
239: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
240: $B=PNO7A<0$r2~A1$7$?(B.
241: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
242: @item
243: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
244: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
245: @item
246: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 247: builtin/strobj.c 1.14--1.43,
248: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
249: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
250: parse/quote.c 1.7--1.8, 1.12.
251: @item
252: 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 253: @item
254: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
255: @item
256: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 257: @end itemize
258:
259:
260:
261: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
262: @node objtoquote,,, $B<B83E*;EMM$N4X?t(B
263: @subsection @code{objtoquote}
264: @findex objtoquote
265:
266: @comment --- $B4X?t$N4JC1$J@bL@(B ---
267: @table @t
268: @item objtoquote(@var{ob})
269: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
270: @end table
271:
272: @table @var
273: @item return
274: quote
275: @item ob
276: $B%*%V%8%'%/%H(B
277: @end table
278:
279: @itemize @bullet
280: @item
281: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
282: @end itemize
283:
284: @example
285: [1150] quotetolist(quote(1+2));
286: [b_op,+,[internal,1],[internal,2]]
287: [1151] quotetolist(objtoquote(1+x));
288: [b_op,+,[internal,x],[internal,1]]3
289: @end example
290:
291: @table @t
292: @item $B;2>H(B
293: @ref{quotetotex} @ref{quotetolist}
294: @end table
295:
296: @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
297: @noindent
298: ChangeLog
299: @itemize @bullet
300: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
301: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
302: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
303: @end itemize
304:
305:
306: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
307: @node copyright,,, $B<B83E*;EMM$N4X?t(B
308: @subsection @code{copyright}
309: @findex copyright
310:
311: @comment --- $B4X?t$N4JC1$J@bL@(B ---
312: @table @t
313: @item copyright()
314: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
315: @end table
316:
317: @table @var
318: @item return
319: $BJ8;zNs(B
320: @end table
321:
322: @itemize @bullet
323: @item
324: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
325: @end itemize
326:
327: @example
328: [1150] copyright();
329: This is Risa/Asir, Version 20040312 (Kobe Distribution).
330: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
331: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
332: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
333: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
334: H. Cohen and M. Olivier.
335: @end example
336:
337: @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
338: @noindent
339: ChangeLog
340: @itemize @bullet
341: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
342: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
343: parse/glob.c 1.47.
344: @end itemize
345:
346:
347:
348: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
349: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
350: @node string_to_tb tb_to_string write_to_tb,,, $B<B83E*;EMM$N4X?t(B
351: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
352: @findex string_to_tb
353: @findex tb_to_string
354: @findex write_to_tb
355:
356: @comment --- $B4X?t$N4JC1$J@bL@(B ---
357: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
358: @table @t
359: @item string_to_tb(@var{s})
360: @itemx tb_to_string(@var{tb})
361: @itemx write_to_tb(@var{s},@var{tb})
362: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
363: @end table
364:
365: @table @var
366: @item return
367: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
368: @item s
369: $BJ8;zNs(B
370: @item tb
371: $BJ8;zNs2DJQD9G[Ns7?(B
372: @end table
373:
374: @itemize @bullet
375: @item
376: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
377: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
378: @item
379: @code{tb_to_string_(@var{tb})} $B$O(B,
380: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
381: @item
382: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
383: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
384: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
385: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
386: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
387: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
388: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
389: $B%G!<%?9=B$$G$"$k(B.
390: @end itemize
391:
392: @example
393: [219] T=string_to_tb("");
394:
395: [220] write_to_tb("Hello",T);
396: 0
397: [221] write_to_tb(" world!",T);
398: 0
399: [222] tb_to_string(T);
400: Hello world!
401: @end example
402:
403:
404: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
405: @noindent
406: ChangeLog
407: @itemize @bullet
1.5 takayama 408: @item
409: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
410: @item
411: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1.3 takayama 412: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
413: engine/str.c 1.5, parse/quote.c 1.9.
1.5 takayama 414: @item
415: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
416: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.3 takayama 417: @end itemize
418:
419:
420:
421: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
422: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
423: @node dp_gr_main,,, $B<B83E*;EMM$N4X?t(B
424: @subsection @code{dp_gr_main}
425: @findex dp_gr_main
426:
427: @comment --- $B4X?t$N4JC1$J@bL@(B ---
428: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
429: @table @t
430: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
431: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
432: @end table
433:
434: @table @var
435: @item return
436: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
437: @item f
438: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
439: @item vv
440: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
441: @item oo
442: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
443: @item n
444: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
445: @item m
446: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
447: @item b
448: ???
449: @item sw
1.5 takayama 450: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.3 takayama 451: @end table
452:
453: @itemize @bullet
454: @item
455: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
456: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
457: $B7OE}$@$C$F$$$J$+$C$?(B.
458: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
459: @comment ~taka/this03/misc-2003/A2/dp
460: @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 461: @example
1.3 takayama 462: order : '[' orderElement { ',' orderElement } ']'
1.5 takayama 463: orderElement : weightVec | builtinOrder
1.3 takayama 464: weightVec : '[' weightElement { ',' weightElement } ']'
465: builtiniOrder : '[' orderName ',' setOfVariables ']'
466: weightElement : NUMBER | setOfVariables ',' NUMBER
467: setOfVariables: V | range(V,V)
1.11 ohara 468: orderName : @@grlex | @@glex | @@lex
469: @end example
1.3 takayama 470: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
471: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
472: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
473: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
474: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1.5 takayama 475: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
476: M.Saito, B.Sturmfels, N.Takayama:
477: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
478: @item
479: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
480: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
481: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
482: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
483: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
484: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
485: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
486: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1.3 takayama 487: @item
488: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
489: @item
490: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
491: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.5 takayama 492: @item
493: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
494: $B2<$NNc$r;2>H(B.
1.3 takayama 495: @end itemize
496:
497: @example
498: [218] load("cyclic");
499: [219] V=vars(cyclic(4));
500: [c0,c1,c2,c3]
501: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
502: [ 10 1 0 0 ]
503: [ 0 0 5 0 ]
504: [ R R R R ]
505: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
506: (c3^4-1)*c1+c3^5-c3,(c2-c3)*c1+c3^4*c2^2+c3*c2-2*c3^2,-c1^2-2*c3*c1-c3^2,
507: c0+c1+c2+c3]
508:
509: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
510: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
511: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
512: [ 1 1 1 1 0 ]
513: [ R R R R R ]
514: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.5 takayama 515:
516: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
517: [[v,[x,y]],[order,[[x,5,y,1]]]]
518: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
519: [ 5 1 ]
520: [ R R ]
521: [-y^4+y^2-1,x+y^3-y]
1.3 takayama 522: @end example
523:
524: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
525: @noindent
526: ChangeLog
527: @itemize @bullet
528: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
529: @item
530: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
531: @item
532: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
533: $B7OE}$@$C$F$$$J$+$C$?(B.
534: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
535: @item
536: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
537: builtin/gr.c 1.56--1.57,
538: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
539: builtin/dp.c 1.46--1.48 (parse_gr_option),
540: engine/Fgfs.c 1.20,
541: engine/dist.c 1.27--1.28
542: engine/nd.c 1.89,
543: include/ca.h 1.42--1.43,
544: io/pexpr.c 1.28,
545: io/sexpr.c 1.26,
546: parse/arith.c 1.11,
547: parse/glob.c 1.44-1.45,
548: parse/lex.c 1.29,
549: parse/parse.h 1.23--1.26
1.5 takayama 550: @item
551: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
552: attribute, ring $B9=B$BN(B.
1.1 takayama 553: @end itemize
554:
555: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
556: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.3 takayama 557: @node asir-install.sh,,, $B<B83E*;EMM$N4X?t(B
558: @subsection @code{asir-port.sh}, @code{asir-install.sh}
559: @findex asir-port.sh
560: @findex asir-install.sh
1.1 takayama 561:
562: @comment --- $B4X?t$N4JC1$J@bL@(B ---
563: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
564: @table @t
1.3 takayama 565: @item asir-install.sh
566: @itemx asir-port.sh
567: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
568: @end table
569:
570:
571: @itemize @bullet
572: @item
573: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1.10 ohara 574: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1.3 takayama 575: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
576: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
577: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
578: @item
579: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
580: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
581: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
582: @end itemize
583:
584:
585: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
586: @noindent
587: ChangeLog
588: @itemize @bullet
589: @item
590: $B$3$l$i$N%7%'%k%9%/%j%W%H$O(B knoppix/math $B$N$?$a$K(B 2004/2, 3 $B7n$K=q$+$l$?(B.
591: @item
592: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
593: @item
594: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
595: 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.)
596: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
597: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
598: @end itemize
599:
1.4 takayama 600:
601: @node get_struct_name,,, $B<B83E*;EMM$N4X?t(B
602: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
603: @findex get_struct_name
604: @findex get_element_names
605: @findex get_element_at
606: @findex put_element_at
607:
608: @comment --- $B4X?t$N4JC1$J@bL@(B ---
609: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
610: @table @t
611: @item get_struct_name(@var{s})
612: @itemx get_element_names(@var{s})
613: @itemx get_element_at(@var{s},@var{key})
614: @itemx put_element_at(@var{s},@var{key},@var{obj})
615: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
616: @end table
617:
618: @table @var
619: @item return
620: $BJ8;zNs(B (get_struct_name),
621: $BJ8;zNs$N%j%9%H(B (get_element_names),
622: $B%*%V%8%'%/%H(B (get_element_at),
623: $B%*%V%8%'%/%H(B (put_element_at)
624: @item s
625: $B9=B$BN(B
626: @item key
627: $BJ8;zNs(B
628: @item obj
629: $B%*%V%8%'%/%H(B
630: @end table
631:
632: @itemize @bullet
633: @item
634: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
635: @item
636: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
637: @item
638: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
639: @item
640: @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.
641: @end itemize
642:
643: @example
644: [219] struct point { x, y, color};
645: [220] P = newstruct(point);
646: {0,0,0}
647: [221] P->x = 10$ P->y=5$ P->color="red"$
648: [222] get_element_names(P);
649: [x,y,color]
650: [223] put_element_at(P,"color","blue");
651: blue
652: [224] P->color;
653: bule
654: @end example
655:
656: @table @t
657: @item $B;2>H(B
658: @ref{newstruct}, @ref{struct}
659: @end table
660:
661: @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
662: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
663: @noindent
664: ChangeLog
665: @itemize @bullet
666: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
667: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
668: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
669: @end itemize
670:
1.6 takayama 671: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
672: @node dp_weyl_gr_main,,, $B<B83E*;EMM$N4X?t(B
673: @subsection @code{dp_weyl_gr_main}
674: @findex dp_weyl_gr_main
675:
676: @comment --- $B4X?t$N4JC1$J@bL@(B ---
677: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
678: @table @t
679: @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})
680: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
681: @end table
682:
683: @table @var
684: @item return
685: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
686: @item f
687: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
688: @item vv
689: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
690: @item oo
691: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
692: @item n
693: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
694: @item m
695: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
696: @item b
697: ???
698: @item sw
699: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
700: @end table
701:
702: @itemize @bullet
703: @item
704: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
705: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
706: $B7OE}$@$C$F$$$J$+$C$?(B.
707: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
708: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
709: @item
710: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
711: K[x_1, ..., x_n, d_1, ..., d_n]
712: $B$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
713: 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.
714: $B$^$?(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.
715: @item
716: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
717: K[x_1, ..., x_n, d_1, ..., d_n, h]
718: $B$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
719: d_i x_i = x_i d_i + h^2
720: $B$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.
721: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
722: @end itemize
723:
724: @example
725: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
726: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
727: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1.7 takayama 728: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
729: ...
1.6 takayama 730: [1238] FF=map(dp_ptod,F[0],V);
731: [(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]
732:
733: [1244] FF=map(dp_ptod,F[0],V);
734: [(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>>]
735:
736: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
737:
1.7 takayama 738: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1.6 takayama 739: [ 0 0 0 0 1 1 1 1 ]
740: [ R R R R R R R R ]
1.7 takayama 741: ...
1.6 takayama 742:
743: @end example
744:
745: @table @t
746: @item $B;2>H(B
747: @ref{dp_gr_main}
748: @end table
749:
750: @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
751: @noindent
752: ChangeLog
753: @itemize @bullet
754: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
755: @item
756: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
757: builtin/dp-supp.c 1.32--1.33
758: builtin/dp.c 1.49--1.50
759: @end itemize
760:
761: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
762: @node dp_initial_term,,, $B<B83E*;EMM$N4X?t(B
763: @subsection @code{dp_initial_term}
764: @findex dp_initial_term
765:
766: @comment --- $B4X?t$N4JC1$J@bL@(B ---
767: @table @t
768: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
769: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
770: @end table
771:
772: @table @var
773: @item return
774: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
775: @item f
776: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
777: @item vv
778: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
779: @item oo
780: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
781: @end table
782:
783: @itemize @bullet
784: @item
785: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
786: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
787: $B$H=q$+$l$F$$$k(B.
788: @item
789: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
790: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
791: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
792: @item
793: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
794: @end itemize
795:
796: @example
797: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
798: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
799: [1220] dp_initial_term(F | order=[[1,1,1]]);
800: [ 1 1 1 ]
801: [ R R R ]
802: (1)*<<2,0,0>>+(1)*<<1,1,0>>
803: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
804: [ 1 0 0 ]
805: [ R R R ]
806: (1)*<<2,0,0>>
807: @end example
808:
809: @table @t
810: @item $B;2>H(B
811: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
812: @end table
813:
814: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
815: @noindent
816: ChangeLog
817: @itemize @bullet
818: @item
819: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
820: builtin/dp-supp.c 1.32
821: builtin/dp.c 1.49
822: @end itemize
823:
824: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
825: @node dp_order,,, $B<B83E*;EMM$N4X?t(B
826: @subsection @code{dp_order}
827: @findex dp_order
828:
829: @comment --- $B4X?t$N4JC1$J@bL@(B ---
830: @table @t
831: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
832: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
833: @end table
834:
835: @table @var
836: @item return
837: $B?t$+?t$N%j%9%H(B
838: @item f
839: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
840: @item vv
841: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
842: @item oo
843: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
844: @end table
845:
846: @itemize @bullet
847: @item
848: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
849: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
850: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
851: @item
852: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
853: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
854: $B$H=q$/O@J8$d652J=q$b$"$k(B.
855: @item
856: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
857: @end itemize
858:
859: @example
860: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
861: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
862: [1222] dp_order(F | order=[[1,1,1]]);
863: [ 1 1 1 ]
864: [ R R R ]
865: 2
866: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
867: [ 1 0 0 ]
868: [ R R R ]
869: @end example
870:
871: @table @t
872: @item $B;2>H(B
873: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
874: @end table
875:
876: @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
877: @noindent
878: ChangeLog
879: @itemize @bullet
880: @item
881: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
882: builtin/dp-supp.c 1.32
883: builtin/dp.c 1.49
884: @end itemize
885:
1.8 takayama 886:
887: @comment mapat
888: @node mapat,,, $B<B83E*;EMM$N4X?t(B
889: @subsection @code{mapat}
890: @findex mapat
891:
892: @table @t
893: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
894: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
895: @end table
896:
897: @table @var
898: @item return
899: $B%*%V%8%'%/%H(B
900: @item pos
901: $B@0?t(B
902: @item arg0, arg1, arg2, ...
903: $B%*%V%8%'%/%H(B
904: @end table
905:
906: @itemize @bullet
907: @item
908: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
909: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
910: @item
911: @code{mapat(fname,0,A0,A1,...)} $B$O(B
912: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
913: @item
914: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
915: @end itemize
916:
917: @example
918: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
919: [2,3]
1.10 ohara 920: [220] mapat(subst,1,x+y+z,[x,y,z],2);
921: [y+z+2,x+z+2,x+y+2]
1.8 takayama 922: @end example
923:
924: @table @t
925: @item $B;2>H(B
926: @ref{map}
927: @end table
928:
929: @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
930: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
931: @noindent
932: ChangeLog
933: @itemize @bullet
934: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
935: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
936: @end itemize
937:
938: @comment list
939: @node list,,, $B<B83E*;EMM$N4X?t(B
940: @subsection @code{list}
941: @findex list
942:
943: @table @t
944: @item list([@var{arg0}, @var{arg1}, ...])
945: :: list $B$r@8@.$9$k(B.
946: @end table
947:
948: @table @var
949: @item return
950: $B%j%9%H(B
951: @item arg0, arg1, arg2, ...
952: $B%*%V%8%'%/%H(B
953: @end table
954:
955: @itemize @bullet
956: @item
957: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
958: @end itemize
959:
960: @example
961: [219] list(1,2,3);
962: [1,2,3]
963: [220] list(1,2,[3,4]);
964: [1,2,[3,4]]
965: @end example
966:
967: @table @t
968: @item $B;2>H(B
969: @ref{cons}
970: @end table
971:
972: @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
973: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
974: @noindent
975: ChangeLog
976: @itemize @bullet
977: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
978: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
979: @end itemize
980:
1.9 takayama 981:
982: @node set_print_function,,, $B<B83E*;EMM$N4X?t(B
983: @subsection @code{set_print_function}
984: @findex set_print_function
985:
986: @comment --- $B4X?t$N4JC1$J@bL@(B ---
987: @table @t
988: @item set_print_function([@var{fname}])
989: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
990: @end table
991:
992: @table @var
993: @item return
994: $B@0?t(B
995: @item fname
996: $BJ8;zNs(B
997: @end table
998:
999: @itemize @bullet
1000: @item
1001: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1002: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1003: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1004: @end itemize
1005:
1006: @example
1007: [219] def my_output(F) {
1008: print("Out: ",0); print(rtostr(F));
1009: }
1010: [220] set_print_function("my_output");
1011: Out: 0
1012: [221] 1+2;
1013: Out: 3
1014: @end example
1015:
1016: @table @t
1017: @item $B;2>H(B
1018: @ref{rtostr}
1019: @end table
1020:
1021: @noindent
1022: ChangeLog
1023: @itemize @bullet
1024: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1025: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1026: @end itemize
1.8 takayama 1027:
1028:
1.12 ! takayama 1029: @node small_jacobi,,, $B<B83E*;EMM$N4X?t(B
! 1030: @subsection @code{small_jacobi}
! 1031: @findex small_jacobi
! 1032:
! 1033: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 1034: @table @t
! 1035: @item small_jacobi(@var{a},@var{m})
! 1036: :: Jacobi $B5-9f$N7W;;(B
! 1037: @end table
! 1038:
! 1039: @table @var
! 1040: @item return
! 1041: $B@0?t(B
! 1042: @item arg1, arg2
! 1043: $B@0?t(B
! 1044: @end table
! 1045:
! 1046: @itemize @bullet
! 1047: @item
! 1048: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
! 1049: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
! 1050: @item
! 1051: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
! 1052: @item
! 1053: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
! 1054: @end itemize
! 1055:
! 1056: @example
! 1057: [1286] small_jacobi(2,3);
! 1058: -1
! 1059: [1287] small_jacobi(2,7);
! 1060: 1
! 1061: @end example
! 1062:
! 1063: @table @t
! 1064: @item $B;2>H(B
! 1065: http://members.jcom.home.ne.jp/yokolabo/asirlib/
! 1066: $B$b8+$F$M(B.
! 1067: @end table
! 1068:
! 1069: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
! 1070: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 1071: @noindent
! 1072: ChangeLog
! 1073: @itemize @bullet
! 1074: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
! 1075: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
! 1076: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
! 1077: @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.
! 1078: @end itemize
1.8 takayama 1079: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1080:
1.3 takayama 1081: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.4 takayama 1082: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1083: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1084: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
1085: @subsection @code{xyz_pqr}, @code{syz_stu}
1086: @findex xyz_pqr
1087: @findex xyz_stu
1088:
1.3 takayama 1089: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1090: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1091: @table @t
1.1 takayama 1092: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
1093: @itemx xyz_stu(@var{arg1},@var{arg2})
1094: :: xyz $B$K4X$9$kA`:n(B.
1095: @end table
1096:
1097: @table @var
1098: @item return
1099: $B@0?t(B
1100: @item arg1, arg2
1101: $B@0?t(B
1102: @item flag
1103: 0 $B$^$?$O(B 1
1104: @end table
1105:
1106: @itemize @bullet
1.3 takayama 1107: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 1108: @item
1109: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
1110: @item
1111: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
1112: @item
1113: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
1114: @end itemize
1115:
1116: @example
1117: [219] xyz_pqr(1,2);
1118: 3
1119: [220] xyz_pqr(1,2,1);
1120: 3
1121: 0
1122: [221] xyz_stu(1,2);
1123: 3
1124: @end example
1125:
1126: @table @t
1127: @item $B;2>H(B
1128: @ref{xyz_abc}
1129: @end table
1130:
1.3 takayama 1131: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1132: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 1133: @noindent
1134: ChangeLog
1135: @itemize @bullet
1136: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
1137: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
1138: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
1139: @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.
1140: @end itemize
1141:
1142: @comment --- $B$*$^$8$J$$(B ---
1143: @node Index,,, Top
1144: @unnumbered Index
1145: @printindex fn
1146: @printindex cp
1147: @iftex
1148: @vfill @eject
1149: @end iftex
1150: @summarycontents
1151: @contents
1152: @bye
1153: @comment --- $B$*$^$8$J$$=*$j(B ---
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