Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.52
1.52 ! nakayama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.51 2016/05/14 07:55:16 nakayama 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$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.49 takayama 41: @subtitle 2014 $BG/(B 12 $B7n(B
1.1 takayama 42:
1.16 ohara 43: @author by Risa/Asir committers
1.1 takayama 44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
1.37 takayama 47: 2004--2010. All rights reserved.
1.1 takayama 48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(B ---
51: @synindex vr fn
52: @comment --- $B$*$^$8$J$$=*$j(B ---
53:
54: @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
1.34 ohara 55: @comment --- @node $B$N0z?t$O(B node-name, next, previous, up ---
1.1 takayama 56: @node Top,, (dir), (dir)
57:
58: @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
59: @comment --- chapter $BL>$r@53N$KJB$Y$k(B ---
60: @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
61: @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
62: @menu
1.34 ohara 63: * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
64: * $B<B83E*;EMM$N4X?t(B::
1.1 takayama 65: * Index::
66: @end menu
67:
68: @comment --- chapter $B$N3+;O(B ---
69: @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
1.34 ohara 70: @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, Top
71: @chapter $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
1.1 takayama 72:
73: $B$3$N@bL@=q$G$O(B
74: @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
75: $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
76: $B$K0\F0$5$l$k(B.
77: ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
78: $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
79:
1.34 ohara 80: @node $B<B83E*;EMM$N4X?t(B,,, Top
81: @chapter $B<B83E*;EMM$N4X?t(B
1.1 takayama 82:
1.34 ohara 83: @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
1.1 takayama 84: @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
85: @menu
1.2 takayama 86: * quotetotex::
87: * quotetotex_env::
88: * objtoquote::
1.3 takayama 89: * copyright::
1.2 takayama 90: * string_to_tb::
91: * tb_to_string::
92: * write_to_tb::
1.3 takayama 93: * dp_gr_main::
1.4 takayama 94: * asir-port.sh::
95: * asir-install.sh::
96: * get_struct_name::
97: * get_element_names::
98: * get_element_at::
99: * put_element_at::
1.6 takayama 100: * dp_initial_term::
101: * dp_order::
102: * dp_weyl_gr_main::
1.8 takayama 103: * list::
104: * mapat::
1.9 takayama 105: * set_print_function::
1.12 takayama 106: * small_jacobi::
1.13 takayama 107: * flatten_quote::
1.27 ohara 108: * printf::
1.28 ohara 109: * fprintf::
1.15 takayama 110: * sprintf::
111: * quote_to_funargs::
112: * funargs_to_quote::
1.19 takayama 113: * get_function_name::
1.15 takayama 114: * remove_paren::
1.17 takayama 115: * set_secure_mode::
116: * set_secure_flag::
1.22 takayama 117: * initialize_static_variable::
1.23 takayama 118: * eval_quote::
119: * nqt_match::
120: * nqt_match_rewrite::
121: * qt_normalize::
122: * qt_set_coef::
123: * qt_set_ord::
124: * qt_set_weight::
125: * nqt_comp::
126: * qt_is_var::
127: * qt_is_ceof::
1.34 ohara 128: * qt_rewrite::
1.24 takayama 129: * asirgui.hnd::
1.25 takayama 130: * noro_matrix.rr:
1.26 takayama 131: * f_res::
1.27 ohara 132: * chdir::
133: * pwd::
134: * dcurrenttime::
1.34 ohara 135: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
136: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
1.41 takayama 137: * tk_pfn.rkn::
138: * tk_pfn.graph::
139: * tk_rk.runge_kutta_4::
140: * tk_rk.runge_kutta_4_linear::
1.46 takayama 141: * tk_rk.zonal::
1.47 takayama 142: * getpid::
1.34 ohara 143: @end menu
1.23 takayama 144:
1.34 ohara 145: @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
146: @section $B%/%*!<%H(B
1.1 takayama 147:
1.34 ohara 148: @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1 takayama 149: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
150: @comment --- section $BL>$r@53N$K(B ---
1.34 ohara 151: @node quotetotex quotetotex_env,,, $B%/%*!<%H(B
1.2 takayama 152: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1 takayama 153: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2 takayama 154: @findex quotetotex
155: @findex quotetotex_env
1.1 takayama 156:
157: @comment --- $B4X?t$N4JC1$J@bL@(B ---
158: @table @t
1.34 ohara 159: @item quotetotex(@var{q})
1.2 takayama 160: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
161: @item quotetotex_env(@var{key},@var{value})
162: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
163: @item quotetotex_env()
164: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
165: @item quotetotex_env(0)
166: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1 takayama 167: @end table
168:
169: @comment --- $B0z?t$N4JC1$J@bL@(B ---
170: @table @var
171: @item return
1.2 takayama 172: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
173: @item q
174: quote
175: @item key
176: $BJ8;zNs(B
177: @item value
178: $B%*%V%8%'%/%H(B
1.1 takayama 179: @end table
180:
181: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
182: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
183: @comment --- @bullet $B$O9uE@IU$-(B ---
184: @itemize @bullet
185: @item
1.2 takayama 186: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
1.34 ohara 187: @item
1.2 takayama 188: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
1.34 ohara 189: @item
1.2 takayama 190: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
191: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
192: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3 takayama 193: 2$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 194: $B$r0UL#$9$k(B.
195: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
196: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
197: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
198: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
199: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
200: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
201: $BFbB"$:$_(B.
1.34 ohara 202: @item
1.5 takayama 203: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
1.34 ohara 204: @iftex
205: @tex
1.5 takayama 206: $x_0, x_1, \cdots$
1.34 ohara 207: @end tex
208: @end iftex
209: @ifinfo
210: x0, x1, ...
211: @end ifinfo
1.5 takayama 212: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
213: x $B$NItJ,$rJQ99$9$k(B.
1.34 ohara 214: @item
1.5 takayama 215: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
216: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 217: @item
1.2 takayama 218: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 219: latex $B7A<0$KJQ49$9$k(B.
1.34 ohara 220: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
221: @iftex
222: @tex
1.2 takayama 223: $x_0, x_1, \cdots$
1.34 ohara 224: @end tex
225: $B$K8eH>$NH>J,$r(B
226: @tex
1.2 takayama 227: $\partial_0, \partial_1, \cdots$
1.34 ohara 228: @end tex
229: @end iftex
230: @ifinfo
231: x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ...
232: @end ifinfo
1.2 takayama 233: $B$KJQ49$9$k(B.
234: $B4q?t8D$N>l9g$O:G8e$NJQ?t$,F1;~2=JQ?t$H$7$F(B h $B$GI=<($5$l$k(B.
1.5 takayama 235: @item
236: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
237: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
238: @item
239: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.34 ohara 240: @item
1.2 takayama 241: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
1.1 takayama 242: @end itemize
243:
244: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
245: @example
1.2 takayama 246: [3] quotetotex(quote(1/(x+1)));
247: \frac@{ 1@} @{ ( @{x@}+ 1)@}
248: [4] quotetotex(objtoquote(diff(x^x,x)));
249: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
250: [5] quotetotex_env("conv_rule",3);
251: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
252: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 253: @end example
254:
255: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
256: @table @t
257: @item $B;2>H(B
1.2 takayama 258: @ref{objtoquote}
1.3 takayama 259: print_tex_form(contrib)
1.1 takayama 260: @end table
261:
262: @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
263: @noindent
264: ChangeLog
265: @itemize @bullet
1.34 ohara 266: @item
267: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
268: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
1.5 takayama 269: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
270: $B=PNO7A<0$r2~A1$7$?(B.
271: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
1.34 ohara 272: @item
273: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
1.5 takayama 274: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
1.34 ohara 275: @item
1.5 takayama 276: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 277: builtin/strobj.c 1.14--1.43,
278: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
279: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
280: parse/quote.c 1.7--1.8, 1.12.
1.34 ohara 281: @item
1.3 takayama 282: knoppix/math $B$O(B $BJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1.34 ohara 283: @item
1.5 takayama 284: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
285: @item
286: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 287: @end itemize
288:
289:
290:
1.34 ohara 291: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
292: @node objtoquote,,, $B%/%*!<%H(B
1.3 takayama 293: @subsection @code{objtoquote}
294: @findex objtoquote
295:
296: @comment --- $B4X?t$N4JC1$J@bL@(B ---
297: @table @t
298: @item objtoquote(@var{ob})
299: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
300: @end table
301:
302: @table @var
303: @item return
304: quote
305: @item ob
306: $B%*%V%8%'%/%H(B
307: @end table
308:
309: @itemize @bullet
310: @item
311: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
312: @end itemize
313:
314: @example
315: [1150] quotetolist(quote(1+2));
316: [b_op,+,[internal,1],[internal,2]]
317: [1151] quotetolist(objtoquote(1+x));
318: [b_op,+,[internal,x],[internal,1]]3
319: @end example
320:
321: @table @t
322: @item $B;2>H(B
323: @ref{quotetotex} @ref{quotetolist}
324: @end table
325:
326: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
327: @noindent
328: ChangeLog
329: @itemize @bullet
330: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
331: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
332: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
333: @end itemize
334:
335:
1.34 ohara 336: @node flatten_quote,,, $B%/%*!<%H(B
337: @subsection @code{flatten_quote}
338: @findex flatten_quote
1.3 takayama 339:
340: @comment --- $B4X?t$N4JC1$J@bL@(B ---
341: @table @t
1.34 ohara 342: @item flatten_quote(@var{q},@var{op})
343: :: quote $B$N3g8L$r$H$j$5$k(B.
1.3 takayama 344: @end table
345:
346: @table @var
347: @item return
1.34 ohara 348: Quote
349: @item q
350: Quote
351: @item op
352: $B1i;;;R$rI=$9J8;zNs(B.
1.3 takayama 353: @end table
354:
355: @itemize @bullet
356: @item
1.34 ohara 357: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
358: ( quotetolist $B;2>H(B ).
359: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
360: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
361: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
362: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
363: @item
364: $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
365: 1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
366: $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
367: @item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
368: + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
369: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.3 takayama 370: @end itemize
371:
372: @example
1.34 ohara 373: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
374: quote(1+2+3+4*(x+3))
375: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
376: quote(x*y*p*3-x*y*z)
377: [1290] quotetolist(quote(1+2+3));
378: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
1.3 takayama 379: @end example
380:
1.34 ohara 381: @table @t
382: @item $B;2>H(B
383: @ref{quotetolist}, @ref{print_tex_form}(contrib)
384: @end table
385:
386: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.3 takayama 387: @noindent
388: ChangeLog
389: @itemize @bullet
1.34 ohara 390: @item
391: $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
392: quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
393: OpenXM/fb $B$GC_@Q$5$l$?8x<0$NITMW$J3g8L$r$H$j$O$:$7(B, tex $B7A<0$KJQ49$9$k$N$K(B
394: $B1~MQ(B.
395: @item
396: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
397: builtin/strobj.c 1.47,
398: parse/eval.c 1.35,
399: parse/parse.h 1.31,
400: parse/quote.c 1.14--1.16.
1.3 takayama 401: @end itemize
402:
403:
1.34 ohara 404: @node quote_to_funargs,,, $B%/%*!<%H(B
405: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}
406: @findex quote_to_funargs
407: @findex funargs_to_quote
408: @findex remove_paren
1.3 takayama 409:
410: @table @t
1.34 ohara 411: @item quote_to_funargs(@var{q})
412: :: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
413: @item funargs_to_quote(@var{f})
414: :: funarg $B7A<0$r(B quote $B$X(B.
415: @item get_function_name(@var{f})
416: :: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
417: @item remove_paren(@var{q})
418: :: $B>e$N4X?t$rMQ$$$F=q$+$l$?M>J,$J3g8L$r<h$j5n$k(B simplifier (asir-contrib $B%^%K%e%"%k$X(B: todo)
1.3 takayama 419: @end table
420:
421: @table @var
422: @item return
1.34 ohara 423: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
424: @item q
425: quote
426: @item f
427: $B%j%9%H(B
1.3 takayama 428: @end table
429:
430: @itemize @bullet
431: @item
1.34 ohara 432: @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
433: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
434: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
435: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
436: @item
437: @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
438: $B$J$k7A<0$r$7$F$$$k(B.
439: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
440: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
441: $B$G<h$j$@$;$k(B.
442: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
443: $B$O(B "+" $B$rLa$9(B.
1.3 takayama 444: @item
1.34 ohara 445: $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.3 takayama 446: @item
1.34 ohara 447: $B2<$NNc$G(B
448: quote_to_funargs(FA[2]);
449: [34,[b_op,+,[internal,x],[internal,1]]]
450: $B$H$J$k(B.
451: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
452: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
453: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
454: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
455: I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
456: I_PRESELF, I_POSTSELF,
457: I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
458: I_ANS, I_PVAR, I_ASSPVAR,
459: I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
460: I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
461: I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
462: I_NARYOP
1.3 takayama 463: @end itemize
464:
1.34 ohara 465: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
466: @example
467: [0] ctrl("print_quote",1) $
468:
469: [1] Q=quote((x+1)+(x+2));
470: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
471: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
472:
473: [2] FA=quote_to_funargs(Q);
474: [0,<...quoted...>,
475: [u_op,(),[b_op,+,[internal,x],[internal,1]]],
476: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
477:
478: [3] FA2=quote_to_funargs(FA[2])[1];
479: [b_op,+,[internal,x],[internal,1]]
480:
481: [4] FA3=quote_to_funargs(FA[3])[1];
482: [b_op,+,[internal,x],[internal,2]]
483:
484: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
485: [b_op,+,[b_op,+,[internal,x],[internal,1]],
486: [b_op,+,[internal,x],[internal,2]]]
487: @end example
488:
489: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
490: @example
491: [1287] load("noro_simplify.rr");
492: 1
493: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
494: quote(f(1-x))
495: @end example
1.3 takayama 496:
1.34 ohara 497: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
498: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
499: @example
500: [1184] R=quote_to_funargs(quote(a+(b+c)));
501: [0,<...quoted...>,<...quoted...>,<...quoted...>]
502: [1185] T=quote_to_funargs(quote(1+2));
503: [0,<...quoted...>,<...quoted...>,<...quoted...>]
504: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
505: quote(a+1)
1.3 takayama 506: @end example
507:
1.34 ohara 508: @table @t
509: @item $B;2>H(B
510: @ref{quotetolist}
511: @end table
512:
1.3 takayama 513:
514: @noindent
515: ChangeLog
516: @itemize @bullet
1.34 ohara 517: @item
518: $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
519: $B$N<B83E*4X?t$G$"$k(B.
520: $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
521: @item
522: $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
523: @item
524: 2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
525: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
526: @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
527: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.3 takayama 528: @end itemize
529:
530:
1.34 ohara 531: @node eval_quote,,, $B%/%*!<%H(B
532: @subsection @code{eval_quote}
533: @findex eval_quote
1.3 takayama 534:
535: @comment --- $B4X?t$N4JC1$J@bL@(B ---
536: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
537: @table @t
1.34 ohara 538: @item eval_quote(@var{Q});
539: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
1.3 takayama 540: @end table
541:
542: @table @var
543: @item return
1.34 ohara 544: $B%*%V%8%'%/%H(B
545: @item Q
546: quote$B7?(B
547: @end table
548:
549: @itemize @bullet
550: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
551: @item $B5U4X?t$O(B @code{objtoquote}
552: @end itemize
553:
554: @example
555: ctrl("print_quote",2);
556: A=quote((x-1)^2+(x-1)+3);
557: $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
558: eval_quote(A);
559: $B=PNO(B: x^2-x+3
560: print_input_form(A); /* asir-contrib */
561: $B=PNO(B: quote((x-1)^2+(x-1)+3)
1.11 ohara 562: @end example
1.3 takayama 563:
1.34 ohara 564: @table @t
565: @item $B;2>H(B
566: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
567: @ref{quote_to_funargs}, @ref{funargs_to_quote}
568: @end table
1.3 takayama 569:
570: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 571: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 572: @noindent
573: ChangeLog
574: @itemize @bullet
1.34 ohara 575: @item -----$B$^$@=q$$$F$J$$(B.
1.1 takayama 576: @end itemize
577:
1.34 ohara 578:
579: @node nqt_match,,, $B%/%*!<%H(B
580: @subsection @code{nqt_match}
581: @findex nqt_match
1.1 takayama 582:
583: @comment --- $B4X?t$N4JC1$J@bL@(B ---
584: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
585: @table @t
1.34 ohara 586: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
587: :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
1.3 takayama 588: @end table
589:
1.34 ohara 590: @table @var
591: @item return
592: $B@0?t(B
593: @item Expr
594: quote$B7?(B
595: @item Pattern
596: quote$B7?(B
597: @item Mode
598: $B@0?t(B
599: @end table
1.3 takayama 600:
601: @itemize @bullet
1.34 ohara 602: @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$$$H(B 0 $B$rLa$9(B.
603: @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
604: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
605: @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
606: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
1.3 takayama 607: @end itemize
608:
1.34 ohara 609: @example
610: ctrl("print_quote",2);
611: A=quote((x-y)*(x+y));
612: nqt_match(A,quote(P*Q));
613: [P,Q]
614: $B=PNO(B: [x-y, x+y]
615: nqt_match(A,quote(P*Q),1);
616: $B%^%C%A$7$J$$(B.
617: nqt_match(A,quote(P*Q),2);
618: $B%^%C%A$7$J$$(B.
619: qt_normalize(A,1);
620: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
621: qt_normalize(A,2);
622: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
623: @end example
624:
625: @table @t
626: @item $B;2>H(B
627: @ref{nqt_match_rewrite},
628: @ref{qt_rewrite}
629: @end table
1.3 takayama 630:
631: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 632: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 633: @noindent
634: ChangeLog
635: @itemize @bullet
1.34 ohara 636: @item ----- $B$^$@=q$$$F$J$$(B.
1.3 takayama 637: @end itemize
638:
1.4 takayama 639:
1.34 ohara 640: @node nqt_match_rewrite,,, $B%/%*!<%H(B
641: @subsection @code{nqt_match_rewrite}
642: @findex nqt_match_rewrite
1.4 takayama 643:
644: @comment --- $B4X?t$N4JC1$J@bL@(B ---
645: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
646: @table @t
1.34 ohara 647: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
648: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
1.4 takayama 649: @end table
650:
651: @table @var
652: @item return
1.34 ohara 653: quote$B7?(B
654: @item Expr
655: quote$B7?(B
656: @item Rule
657: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
658: [@var{Pattern},@var{Condition},@var{Action}].
659: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
660: @item Mode
661: $B@0?t(B
1.4 takayama 662: @end table
663:
664: @itemize @bullet
1.34 ohara 665: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
666: @var{Exprt} $B<+BN$rLa$9(B.
667: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
1.4 takayama 668: @end itemize
669:
1.34 ohara 670: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
1.4 takayama 671: @example
1.34 ohara 672: ctrl("print_quote",2);
673: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
674: $B=PNO(B: (x)+((y)*(z))
675: A=`x*x;
676: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
677: $B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B)
678: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
679: $B=PNO(B: 2*x
680:
681: $BE,9g$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.
682: quotetolist(qt_normalize(`x*x,0));
683: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
684: quotetolist(qt_normalize(`x*x,1));
685: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
686: quotetolist(qt_normalize(`x*x,2));
687: $B=PNO(B: [n_op,*,[internal,x],[internal,x]]
1.4 takayama 688: @end example
689:
690: @table @t
691: @item $B;2>H(B
1.34 ohara 692: @ref{nqt_match},
693: @ref{qt_rewrite},
694: @ref{qt_normalize}
1.4 takayama 695: @end table
696:
697: @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
698: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
699: @noindent
700: ChangeLog
701: @itemize @bullet
1.34 ohara 702: @item -----$B$^$@=q$$$F$J$$(B.
1.4 takayama 703: @end itemize
704:
1.34 ohara 705:
706:
707: @node qt_normalize,,, $B%/%*!<%H(B
708: @subsection @code{qt_normalize}
709: @findex qt_normalize
1.6 takayama 710:
711: @comment --- $B4X?t$N4JC1$J@bL@(B ---
712: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
713: @table @t
1.34 ohara 714: @item qt_normalize(@var{Expr}[,@var{Mode}])
715: :: @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
1.6 takayama 716: @end table
717:
718: @table @var
719: @item return
1.34 ohara 720: quote$B7?(B
721: @item Expr
722: quote$B7?(B
723: @item Mode
724: $B@0?t(B
1.6 takayama 725: @end table
726:
1.34 ohara 727: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
728: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
729: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
730: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
731:
732: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
733: 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.
734: @example
735: fn = formula | functor(nf [,...]) | sum_of_monom
736: fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
737: sum_of_monom = monom [+ ...]
738: $B%b%N%_%"%k$NOB(B
739: monom = [formula *] nfpow [* ...]
740: $B%b%N%_%"%k(B
741: nfpow = nf | nf^(nf)
742: $BQQ>hItJ,$NI8=`7A(B
743: formula = Risa object
744: @end example
745:
746:
1.6 takayama 747: @itemize @bullet
1.34 ohara 748: @item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
749: @item $BE83+$O:F5"E*$G$"$k(B.
750: @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
751: (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
752: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
753: @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$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$$$k(B.
754: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
755: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
756: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
1.6 takayama 757: @end itemize
758:
1.34 ohara 759: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
760: @comment %%cfep/tests/2006-03-12-qt.rr
1.6 takayama 761: @example
1.34 ohara 762: ctrl("print_quote",2);
763: A=quote((x-y)*(x+y));
764: $B=PNO(B: ((x)-(y))*((x)+(y))
765: B=qt_normalize(A,0);
766: $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
767: quotetolist(B);
768: $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
1.6 takayama 769:
1.34 ohara 770: B=qt_normalize(A,1);
771: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
772: Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
773: quotetolist(B);
774: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
1.6 takayama 775:
1.34 ohara 776: qt_normalize(A,2);
777: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
778: Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
779: quotetolist(B);
780: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
1.6 takayama 781:
1.34 ohara 782: qt_normalize(`x^2,2);
783: $B=PNO(B: (x)*(x)
784: Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
1.6 takayama 785: @end example
786:
787: @table @t
788: @item $B;2>H(B
1.34 ohara 789: @ref{nqt_match},
790: @ref{nqt_match_rewrite},
791: @ref{quotetolist},
792: @ref{quote_to_funargs}
1.6 takayama 793: @end table
794:
795: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 796: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 797: @noindent
798: ChangeLog
799: @itemize @bullet
1.34 ohara 800: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 801: @end itemize
802:
1.34 ohara 803:
804: @node qt_set_coef,,, $B%/%*!<%H(B
805: @subsection @code{qt_set_coef}
806: @findex qt_set_coef
1.6 takayama 807:
808: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 809: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 810: @table @t
1.34 ohara 811: @item qt_set_coef(@var{ParamList})
812: :: $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
813: $BHs2D49B?9`<0$r07$&(B.
1.6 takayama 814: @end table
815:
816: @table @var
817: @item return
1.34 ohara 818: $B%j%9%H(B
819: @item ParamList
820: $B%j%9%H(B
1.6 takayama 821: @end table
822:
823: @itemize @bullet
1.34 ohara 824: @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
825: $BHs2D49B?9`<0$r07$&(B.
826: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
827: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
828: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 829: @end itemize
830:
831: @example
1.34 ohara 832: ctrl("print_quote",2);
833: qt_set_coef([a]);
834: B=qt_normalize(quote((a*x+a)^2),2);
835: $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
836: qt_normalize(B+B,2);
837: $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
1.6 takayama 838: @end example
839:
840: @table @t
841: @item $B;2>H(B
1.34 ohara 842: @ref{qt_normalize}
1.6 takayama 843: @end table
844:
845: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 846: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 847: @noindent
848: ChangeLog
849: @itemize @bullet
1.34 ohara 850: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 851: @end itemize
852:
1.34 ohara 853:
854: @node qt_set_ord,,, $B%/%*!<%H(B
855: @subsection @code{qt_set_ord}
856: @findex qt_set_ord
1.6 takayama 857:
858: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 859: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 860: @table @t
1.34 ohara 861: @item qt_set_ord(@var{VarList})
862: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
1.6 takayama 863: @end table
864:
865: @table @var
866: @item return
1.34 ohara 867: $B%j%9%H(B
868: @item VarList
869: $B%j%9%H(B
1.6 takayama 870: @end table
871:
872: @itemize @bullet
1.34 ohara 873: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
874: @item $B$3$N@k8@$r$7$J$$$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.
875: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
876: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
877: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 878: @end itemize
879:
880: @example
1.34 ohara 881: ctrl("print_quote",2);
882: qt_normalize(quote(x+y),2);
883: $B=PNO(B: (x)+(y)
884: qt_set_ord([y,x]);
885: $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
886: qt_normalize(quote(x+y),2);
887: $B=PNO(B: (y)+(x)
1.6 takayama 888: @end example
889:
890: @table @t
891: @item $B;2>H(B
1.34 ohara 892: @ref{qt_normalize},
893: @ref{nqt_comp}
1.6 takayama 894: @end table
895:
896: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 897: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 898: @noindent
899: ChangeLog
900: @itemize @bullet
1.34 ohara 901: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 902: @end itemize
903:
1.8 takayama 904:
1.34 ohara 905: @node qt_set_weight,,, $B%/%*!<%H(B
906: @subsection @code{qt_set_weight}
907: @findex qt_set_weight
1.8 takayama 908:
1.34 ohara 909: @comment --- $B4X?t$N4JC1$J@bL@(B ---
910: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 911: @table @t
1.34 ohara 912: @item qt_set_weight(@var{WeightVector})
913: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
1.8 takayama 914: @end table
915:
916: @table @var
917: @item return
1.34 ohara 918: $B%j%9%H(B
919: @item WeightVector
920: $B%j%9%H(B
1.8 takayama 921: @end table
922:
1.34 ohara 923: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
924: @example
925: f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
926: $B$D$$$F$O$=$NCM(B.
927:
928: f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
929: w(f+g) = max(w(f),w(g))
930: w(f g) = w(f) + w(g)
931: w(f^n) = n w(f)
932: $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
933: @end example
934:
1.8 takayama 935: @itemize @bullet
1.34 ohara 936: @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
937: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
938: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
939: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
940: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
941: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
1.8 takayama 942: @end itemize
943:
944: @example
1.34 ohara 945: ctrl("print_quote",2);
946: qt_set_weight([[x,-1],[y,-1]]);
947: $B7k2L(B: [[x,-1],[y,-1]]
948: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
949: $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
1.8 takayama 950: @end example
951:
952: @table @t
953: @item $B;2>H(B
1.34 ohara 954: @ref{qt_normalize},
955: @ref{qt_set_ord},
956: @ref{qt_set_weight},
957: @ref{dp_gr_main}
1.8 takayama 958: @end table
959:
960: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
961: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
962: @noindent
963: ChangeLog
964: @itemize @bullet
1.34 ohara 965: @item -----$B$^$@=q$$$F$J$$(B.
1.8 takayama 966: @end itemize
967:
968:
1.34 ohara 969: @node nqt_comp,,, $B%/%*!<%H(B
970: @subsection @code{nqt_comp}
971: @findex nqt_comp
972:
973: @comment --- $B4X?t$N4JC1$J@bL@(B ---
974: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 975: @table @t
1.34 ohara 976: @item nqt_cmp(@var{Expr1},@var{Exprt2})
977: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
1.8 takayama 978: @end table
979:
980: @table @var
981: @item return
1.34 ohara 982: $B@0?t(B
983: @item Expr1, Expr2
984: quote$B7?(B
1.8 takayama 985: @end table
986:
987: @itemize @bullet
1.34 ohara 988: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
989: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
990: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
991: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
1.8 takayama 992: @end itemize
993:
994: @example
1.34 ohara 995: ctrl("print_quote",2);
996: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
997: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
998: $B=PNO(B: [-1,1,0]
1.8 takayama 999: @end example
1000:
1001: @table @t
1002: @item $B;2>H(B
1.34 ohara 1003: @ref{qt_normalize},
1004: @ref{qt_set_ord},
1005: @ref{qt_set_weight}
1.8 takayama 1006: @end table
1007:
1008: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1009: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1010: @noindent
1011: ChangeLog
1012: @itemize @bullet
1.34 ohara 1013: @item $B$^$@=q$$$F$J$$(B.
1.8 takayama 1014: @end itemize
1.34 ohara 1015: @comment ****************************************************************
1.8 takayama 1016:
1.34 ohara 1017: @node qt_is_var,,, $B%/%*!<%H(B
1018: @subsection @code{qt_is_var}, @code{qt_is_coef}
1019: @findex qt_is_var
1020: @findex qt_is_coef
1.9 takayama 1021:
1022: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1023: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.9 takayama 1024: @table @t
1.34 ohara 1025: @item qt_is_var(@var{Expr})
1026: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1027: @item qt_is_coef(@var{Expr})
1028: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
1.9 takayama 1029: @end table
1030:
1031: @table @var
1032: @item return
1033: $B@0?t(B
1.34 ohara 1034: @item Expr
1035: quote$B7?(B
1.9 takayama 1036: @end table
1037:
1038: @itemize @bullet
1.34 ohara 1039: @item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1040: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
1.9 takayama 1041: @end itemize
1042:
1043: @example
1.34 ohara 1044: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
1045: $B=PNO(B: [1,0]
1.9 takayama 1046: @end example
1047:
1048: @table @t
1049: @item $B;2>H(B
1.34 ohara 1050: @ref{qt_rewrite},
1051: @ref{nqt_match_rewrite}
1.9 takayama 1052: @end table
1053:
1.34 ohara 1054: @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
1055: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.9 takayama 1056: @noindent
1057: ChangeLog
1058: @itemize @bullet
1.34 ohara 1059: @item -----$B$^$@=q$$$F$J$$(B.
1.9 takayama 1060: @end itemize
1.34 ohara 1061: @comment ****************************************************************
1.8 takayama 1062:
1.34 ohara 1063: @node qt_rewrite,,, $B%/%*!<%H(B
1064: @subsection @code{qt_rewrite}
1065: @findex qt_rewrite
1.12 takayama 1066:
1067: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1068: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.12 takayama 1069: @table @t
1.34 ohara 1070: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
1071: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1.12 takayama 1072: @end table
1073:
1074: @table @var
1075: @item return
1.34 ohara 1076: quote$B7?(B
1077: @item Expr
1078: quote$B7?(B
1079: @item Rules
1080: $B%j%9%H(B
1081: @item Mode
1.12 takayama 1082: $B@0?t(B
1083: @end table
1084:
1085: @itemize @bullet
1.34 ohara 1086: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
1087: @code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B.
1088: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
1089: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
1090: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1091: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
1092: $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
1093: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
1094: @var{Pattern} $B$HF1$8=q$-J}(B.
1095: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
1096: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
1097: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
1098: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
1099: $B$5$l$F$+$i?k9T$5$l$k(B.
1.12 takayama 1100: @end itemize
1101:
1.34 ohara 1102: $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
1103: $BM?$($k$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,
1104: $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
1105: @example
1106: import("noro_rewrite.rr");
1107: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
1108: qt_rewrite(`(x-y)^2,R,2);
1109: $B=PNO(B: quote(x*x+-2*x*y+y*y)
1110: @end example
1111:
1112: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1113: @example
1114: import("noro_rewrite.rr");
1115: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
1116: quote(-Y*X)];
1117: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
1118: Rext2=[quote(X*X),quote(0)];
1119: Rext=[Rext0,Rext1,Rext2];
1120: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
1121: $B=PNO(B: 2*x*y
1122:
1123: qt_set_coef([a,b,c,d]);
1124: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
1125: $B=PNO(B: (d*a-c*b)*x*y
1126:
1127: @end example
1128:
1129: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1.12 takayama 1130: @example
1.34 ohara 1131: import("noro_rewrite.rr");
1132: qt_set_coef([a,b]);
1133: Rd1=[`d(X+Y), `d(X)+d(Y)];
1134: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
1135: Rd3=[`d(N), `qt_is_coef(N), `0];
1136: Rd4=[`d(x),`1];
1137: Rd=[Rd1,Rd2,Rd3,Rd4];
1138: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
1139: $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
1140: fctr(eval_quote(B));
1141: $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
1.12 takayama 1142: @end example
1143:
1144: @table @t
1145: @item $B;2>H(B
1.34 ohara 1146: @ref{nqt_match},
1147: @ref{nqt_match_rewrite},
1148: @ref{qt_normalize}
1.12 takayama 1149: @end table
1150:
1151: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 1152: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.12 takayama 1153: @noindent
1154: ChangeLog
1155: @itemize @bullet
1.34 ohara 1156: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
1157: $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
1158: qt $B7O$N4X?t$,3+H/$5$l$?(B.
1159: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
1160: OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
1161: OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
1162: @item Todo: qt $B7O$N4X?t$rMQ$$$?$*$b$7$m$$7W;;$r(B Risa/Asir $B%8%c!<%J%k$N5-;v$H$7$F=q$/(B.
1.13 takayama 1163: @end itemize
1164:
1.34 ohara 1165: @comment ****************************************************************
1166:
1167: @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
1168: @section $BJ8;zNs=hM}(B
1.13 takayama 1169:
1.34 ohara 1170: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
1171: @node copyright,,, $BJ8;zNs=hM}(B
1172: @subsection @code{copyright}
1173: @findex copyright
1.13 takayama 1174:
1175: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1176: @table @t
1.34 ohara 1177: @item copyright()
1178: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1179: @end table
1180:
1181: @table @var
1182: @item return
1.34 ohara 1183: $BJ8;zNs(B
1.13 takayama 1184: @end table
1185:
1186: @itemize @bullet
1187: @item
1.34 ohara 1188: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1189: @end itemize
1190:
1191: @example
1.34 ohara 1192: [1150] copyright();
1193: This is Risa/Asir, Version 20040312 (Kobe Distribution).
1194: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
1195: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
1196: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
1197: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
1198: H. Cohen and M. Olivier.
1.13 takayama 1199: @end example
1200:
1.34 ohara 1201: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.13 takayama 1202: @noindent
1203: ChangeLog
1204: @itemize @bullet
1.34 ohara 1205: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
1206: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
1207: parse/glob.c 1.47.
1208: @end itemize
1209:
1210:
1211:
1212: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
1213: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1214: @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
1215: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
1216: @findex string_to_tb
1217: @findex tb_to_string
1218: @findex write_to_tb
1219:
1220: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1221: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1222: @table @t
1223: @item string_to_tb(@var{s})
1224: @itemx tb_to_string(@var{tb})
1225: @itemx write_to_tb(@var{s},@var{tb})
1226: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
1227: @end table
1228:
1229: @table @var
1230: @item return
1231: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
1232: @item s
1233: $BJ8;zNs(B
1234: @item tb
1235: $BJ8;zNs2DJQD9G[Ns7?(B
1236: @end table
1237:
1238: @itemize @bullet
1239: @item
1240: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
1241: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
1242: @item
1243: @code{tb_to_string_(@var{tb})} $B$O(B,
1244: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
1245: @item
1246: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
1247: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
1248: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
1249: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
1250: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
1251: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
1252: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
1253: $B%G!<%?9=B$$G$"$k(B.
1254: @end itemize
1255:
1256: @example
1257: [219] T=string_to_tb("");
1258:
1259: [220] write_to_tb("Hello",T);
1260: 0
1261: [221] write_to_tb(" world!",T);
1262: 0
1263: [222] tb_to_string(T);
1264: Hello world!
1265: @end example
1266:
1267:
1268: @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
1269: @noindent
1270: ChangeLog
1271: @itemize @bullet
1272: @item
1273: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
1274: @item
1275: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1276: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
1277: engine/str.c 1.5, parse/quote.c 1.9.
1.13 takayama 1278: @item
1.34 ohara 1279: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
1280: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.14 takayama 1281: @end itemize
1282:
1.34 ohara 1283:
1284: @node set_print_function,,, $BJ8;zNs=hM}(B
1285: @subsection @code{set_print_function}
1286: @findex set_print_function
1.14 takayama 1287:
1288: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1289: @table @t
1.34 ohara 1290: @item set_print_function([@var{fname}])
1291: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
1.14 takayama 1292: @end table
1293:
1294: @table @var
1295: @item return
1.34 ohara 1296: $B@0?t(B
1297: @item fname
1298: $BJ8;zNs(B
1.14 takayama 1299: @end table
1300:
1301: @itemize @bullet
1.34 ohara 1302: @item
1303: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1304: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1305: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1.14 takayama 1306: @end itemize
1307:
1308: @example
1.34 ohara 1309: [219] def my_output(F) @{
1310: print("Out: ",0); print(rtostr(F));
1311: @}
1312: [220] set_print_function("my_output");
1313: Out: 0
1314: [221] 1+2;
1315: Out: 3
1.14 takayama 1316: @end example
1317:
1318: @table @t
1319: @item $B;2>H(B
1.34 ohara 1320: @ref{rtostr}
1.14 takayama 1321: @end table
1322:
1323: @noindent
1324: ChangeLog
1325: @itemize @bullet
1.34 ohara 1326: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1327: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1.12 takayama 1328: @end itemize
1.13 takayama 1329:
1.15 takayama 1330:
1.34 ohara 1331: @node sprintf,,, $BJ8;zNs=hM}(B
1.28 ohara 1332: @subsection @code{printf}, @code{fprintf}, @code{sprintf}
1.15 takayama 1333: @findex sprintf
1334:
1335: @table @t
1.27 ohara 1336: @item printf(@var{format}[,@var{args}])
1.28 ohara 1337: @item fprintf(@var{fd},@var{format}[,@var{args}])
1.15 takayama 1338: @item sprintf(@var{format}[,@var{args}])
1339: :: C $B$K;w$?%W%j%s%H4X?t(B
1340: @end table
1341:
1342: @table @var
1343: @item return
1.28 ohara 1344: $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
1.15 takayama 1345: @item format
1346: $BJ8;zNs(B
1.28 ohara 1347: @item fd
1348: $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
1.15 takayama 1349: @item args
1350: $B%*%V%8%'%/%H(B
1351: @end table
1352:
1353: @itemize @bullet
1354: @item
1.27 ohara 1355: @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
1.15 takayama 1356: @item
1.28 ohara 1357: @code{fprintf} $B$O7k2L$r(B, $B%U%!%$%k5-=R;R(B @var{fd} $B$N;X$9%U%!%$%k$K=q$-=P$9(B.
1358: @item
1.27 ohara 1359: @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
1360: @item
1361: $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
1362: @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1.28 ohara 1363: @item
1364: $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
1.15 takayama 1365: @end itemize
1366:
1367: @example
1.27 ohara 1368: [0] printf("%a: rat = %a\n",10,x^2-1)$
1369: 10: rat = x^2-1
1370: [1] S=sprintf("%a: rat = %a",20,x^2-1)$
1371: [2] S;
1372: 20: rat = x^2-1
1.28 ohara 1373: [3] Fd=open_file("hoge.txt","w");
1374: 0
1375: [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
1376: [5] close_file(Fd)$
1377: [6] quit;
1378:
1379: $ cat hoge.txt
1380: Poly=x^3-3*x^2+3*x-1
1.15 takayama 1381: @end example
1382:
1383: @table @t
1384: @item $B;2>H(B
1.28 ohara 1385: @ref{rtostr},@ref{open_file},@ref{close_file}
1.15 takayama 1386: @end table
1387:
1388: @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
1389: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1390: @noindent
1391: ChangeLog
1392: @itemize @bullet
1.34 ohara 1393: @item
1.27 ohara 1394: $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1.15 takayama 1395: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
1.34 ohara 1396: @item
1.27 ohara 1397: $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
1398: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
1.34 ohara 1399: @item
1.28 ohara 1400: $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
1401: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
1.34 ohara 1402: @item
1.15 takayama 1403: @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
1404: @end itemize
1405:
1406:
1.34 ohara 1407: @node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B
1408: @section $B%0%l%V%J!<4pDl(B
1409:
1410: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1411: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1412: @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
1413: @subsection @code{dp_gr_main}
1414: @findex dp_gr_main
1.15 takayama 1415:
1.34 ohara 1416: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1417: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.15 takayama 1418: @table @t
1.34 ohara 1419: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
1420: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
1.15 takayama 1421: @end table
1422:
1423: @table @var
1424: @item return
1.34 ohara 1425: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1.15 takayama 1426: @item f
1.34 ohara 1427: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1428: @item vv
1429: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1430: @item oo
1431: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1432: @item n
1433: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
1434: @item m
1435: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
1436: @item b
1437: ???
1438: @item sw
1439: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.15 takayama 1440: @end table
1441:
1442: @itemize @bullet
1443: @item
1.34 ohara 1444: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1445: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1446: $B7OE}$@$C$F$$$J$+$C$?(B.
1447: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1448: @comment ~taka/this03/misc-2003/A2/dp
1449: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B. @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1450: @example
1451: order : '[' orderElement @{ ',' orderElement @} ']'
1452: orderElement : weightVec | builtinOrder
1453: weightVec : '[' weightElement @{ ',' weightElement @} ']'
1454: builtiniOrder : '[' orderName ',' setOfVariables ']'
1455: weightElement : NUMBER | setOfVariables ',' NUMBER
1456: setOfVariables: V | range(V,V)
1457: orderName : @@grlex | @@glex | @@lex
1458: @end example
1459: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
1460: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
1461: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
1462: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
1463: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1464: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
1465: M.Saito, B.Sturmfels, N.Takayama:
1466: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
1467: @item
1468: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
1469: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
1470: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
1471: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
1472: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
1473: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
1474: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
1475: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1476: @item
1477: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
1.15 takayama 1478: @item
1.34 ohara 1479: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
1480: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.15 takayama 1481: @item
1.34 ohara 1482: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
1483: $B2<$NNc$r;2>H(B.
1.15 takayama 1484: @end itemize
1485:
1486: @example
1.34 ohara 1487: [218] load("cyclic");
1488: [219] V=vars(cyclic(4));
1489: [c0,c1,c2,c3]
1490: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
1491: [ 10 1 0 0 ]
1492: [ 0 0 5 0 ]
1493: [ R R R R ]
1494: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
1495: (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,
1496: c0+c1+c2+c3]
1.15 takayama 1497:
1.34 ohara 1498: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
1499: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
1500: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
1501: [ 1 1 1 1 0 ]
1502: [ R R R R R ]
1503: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.15 takayama 1504:
1.34 ohara 1505: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
1506: [[v,[x,y]],[order,[[x,5,y,1]]]]
1507: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
1508: [ 5 1 ]
1509: [ R R ]
1510: [-y^4+y^2-1,x+y^3-y]
1511: @end example
1.15 takayama 1512:
1.34 ohara 1513: @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
1514: @noindent
1515: ChangeLog
1516: @itemize @bullet
1517: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
1518: @item
1519: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
1520: @item
1521: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1522: $B7OE}$@$C$F$$$J$+$C$?(B.
1523: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1524: @item
1525: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1526: builtin/gr.c 1.56--1.57,
1527: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
1528: builtin/dp.c 1.46--1.48 (parse_gr_option),
1529: engine/Fgfs.c 1.20,
1530: engine/dist.c 1.27--1.28
1531: engine/nd.c 1.89,
1532: include/ca.h 1.42--1.43,
1533: io/pexpr.c 1.28,
1534: io/sexpr.c 1.26,
1535: parse/arith.c 1.11,
1536: parse/glob.c 1.44-1.45,
1537: parse/lex.c 1.29,
1538: parse/parse.h 1.23--1.26
1539: @item
1540: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
1541: attribute, ring $B9=B$BN(B.
1542: @end itemize
1543:
1544: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1545: @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
1546: @subsection @code{dp_weyl_gr_main}
1547: @findex dp_weyl_gr_main
1548:
1549: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1550: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1551: @table @t
1552: @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})
1553: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
1554: @end table
1.15 takayama 1555:
1.34 ohara 1556: @table @var
1557: @item return
1558: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1559: @item f
1560: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1561: @item vv
1562: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1563: @item oo
1564: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1565: @item n
1566: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
1567: @item m
1568: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
1569: @item b
1570: ???
1571: @item sw
1572: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
1573: @end table
1.15 takayama 1574:
1.34 ohara 1575: @itemize @bullet
1576: @item
1577: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1578: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1579: $B7OE}$@$C$F$$$J$+$C$?(B.
1580: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1581: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
1582: @item
1583: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
1584: K[x_1, ..., x_n, d_1, ..., d_n]
1585: $B$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
1586: 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.
1587: $B$^$?(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.
1588: @item
1589: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
1590: K[x_1, ..., x_n, d_1, ..., d_n, h]
1591: $B$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
1592: d_i x_i = x_i d_i + h^2
1593: $B$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.
1594: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
1595: @end itemize
1.15 takayama 1596:
1597: @example
1.34 ohara 1598: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
1599: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
1600: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1601: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1602: ...
1603: [1238] FF=map(dp_ptod,F[0],V);
1604: [(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]
1605:
1606: [1244] FF=map(dp_ptod,F[0],V);
1607: [(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>>]
1608:
1609: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
1610:
1611: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1612: [ 0 0 0 0 1 1 1 1 ]
1613: [ R R R R R R R R ]
1614: ...
1615:
1.15 takayama 1616: @end example
1617:
1.34 ohara 1618: @table @t
1619: @item $B;2>H(B
1620: @ref{dp_gr_main}
1621: @end table
1622:
1623: @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
1624: @noindent
1625: ChangeLog
1626: @itemize @bullet
1627: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
1628: @item
1629: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1630: builtin/dp-supp.c 1.32--1.33
1631: builtin/dp.c 1.49--1.50
1632: @end itemize
1633:
1634: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
1635: @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
1636: @subsection @code{dp_initial_term}
1637: @findex dp_initial_term
1638:
1639: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1640: @table @t
1641: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
1642: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1643: @end table
1644:
1645: @table @var
1646: @item return
1647: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
1648: @item f
1649: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1650: @item vv
1651: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1652: @item oo
1653: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1654: @end table
1655:
1656: @itemize @bullet
1657: @item
1658: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1659: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
1660: $B$H=q$+$l$F$$$k(B.
1661: @item
1662: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1663: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1664: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1665: @item
1666: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
1667: @end itemize
1668:
1.19 takayama 1669: @example
1.34 ohara 1670: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1671: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1672: [1220] dp_initial_term(F | order=[[1,1,1]]);
1673: [ 1 1 1 ]
1674: [ R R R ]
1675: (1)*<<2,0,0>>+(1)*<<1,1,0>>
1676: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
1677: [ 1 0 0 ]
1678: [ R R R ]
1679: (1)*<<2,0,0>>
1.19 takayama 1680: @end example
1681:
1.15 takayama 1682: @table @t
1683: @item $B;2>H(B
1.34 ohara 1684: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
1.15 takayama 1685: @end table
1686:
1.34 ohara 1687: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.15 takayama 1688: @noindent
1689: ChangeLog
1690: @itemize @bullet
1.34 ohara 1691: @item
1692: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1693: builtin/dp-supp.c 1.32
1694: builtin/dp.c 1.49
1.17 takayama 1695: @end itemize
1696:
1.34 ohara 1697: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
1698: @node dp_order,,, $B%0%l%V%J!<4pDl(B
1699: @subsection @code{dp_order}
1700: @findex dp_order
1.17 takayama 1701:
1702: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1703: @table @t
1.34 ohara 1704: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
1705: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1.17 takayama 1706: @end table
1707:
1708: @table @var
1709: @item return
1.34 ohara 1710: $B?t$+?t$N%j%9%H(B
1711: @item f
1712: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1713: @item vv
1714: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1715: @item oo
1716: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1.17 takayama 1717: @end table
1718:
1719: @itemize @bullet
1720: @item
1.34 ohara 1721: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1722: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1723: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1724: @item
1725: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1726: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
1727: $B$H=q$/O@J8$d652J=q$b$"$k(B.
1.17 takayama 1728: @item
1.34 ohara 1729: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
1.17 takayama 1730: @end itemize
1731:
1732: @example
1.34 ohara 1733: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1734: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1735: [1222] dp_order(F | order=[[1,1,1]]);
1736: [ 1 1 1 ]
1737: [ R R R ]
1738: 2
1739: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
1740: [ 1 0 0 ]
1741: [ R R R ]
1.17 takayama 1742: @end example
1743:
1744: @table @t
1745: @item $B;2>H(B
1.34 ohara 1746: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
1.17 takayama 1747: @end table
1748:
1.34 ohara 1749: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.17 takayama 1750: @noindent
1751: ChangeLog
1752: @itemize @bullet
1753: @item
1.34 ohara 1754: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1755: builtin/dp-supp.c 1.32
1756: builtin/dp.c 1.49
1.15 takayama 1757: @end itemize
1.21 takayama 1758:
1759:
1.34 ohara 1760: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
1761: @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
1762: @findex nd_gr (module)
1763: @findex nd_gr_trace (module)
1764: @findex nd_weyl_gr (module)
1765: @findex nd_weyl_gr_trace (module)
1.21 takayama 1766:
1.34 ohara 1767: @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
1.21 takayama 1768: @table @t
1.34 ohara 1769: @item nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
1770: @itemx nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1771: @item nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
1772: @itemx nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1773: :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
1.21 takayama 1774: @end table
1775:
1.34 ohara 1776: @table @var
1777: @item gen
1778: $B%j%9%H$N%j%9%H(B
1779: @item ord
1780: @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
1781: @item return
1782: $B%j%9%H$N%j%9%H(B
1783: @end table
1.21 takayama 1784:
1785: @itemize @bullet
1.34 ohara 1786: @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
1787: $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
1788: $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
1789: @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
1790: $B>l9g(B, $B2C72$N%0%l%V%J!<4pDl7W;;$r<B9T$9$k(B. $B$3$N>l9g(B, @var{gen} $B$O(B, $BB?9`<0(B
1791: $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
1792: @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
1793: $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
1794: $B$G9T$&(B.
1795: @item $B@bL@$5$l$F$$$J$$0z?t$O(B, $B%$%G%"%k$N>l9g$N2r@b$r;2>H$N$3$H(B.
1.21 takayama 1796: @end itemize
1797:
1.34 ohara 1798: @example
1799: [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
1800: [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
1801: [1] nd_gr(Gen,[x,y,z],0,[0,0]);
1802: [[x,y,z],[y^2,x^2-y,0],[y^2,x+z^3,x+z],[y^3+z^3*y^2,y^3*x-y^3,
1803: -x^3-z*x^2+(z*y^2+y)*x-z*y^2+z*y],[0,0,x^4+z*x^3+(-z*y^2-y)*x^2
1804: +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
1805: @end example
1806:
1807: @table @t
1808: @item $B;2>H(B
1809: @ref{nd_gr}, @ref{nd_gr_trace}
1810: @end table
1811:
1812: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B
1813: @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
1814: @findex nd_gr (option)
1815: @findex nd_gr_trace (option)
1816: @findex nd_weyl_gr (option)
1817: @findex nd_weyl_gr_trace (option)
1818:
1819: @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
1820:
1821: @table @t
1822: @item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1823: @itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1824: @itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1825: @itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1826: :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
1827: @end table
1828:
1829: @table @var
1830: @item opt
1831: @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
1832: @item return
1833: $B%*%W%7%g%s$K$h$j0[$J$k(B
1834: @end table
1835:
1836: @itemize @bullet
1837: @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
1838: @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
1839:
1840: @table @var
1841: @item gentrace
1842: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
1.45 takayama 1843: @item gensyz
1.34 ohara 1844: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
1845: @item nora
1846: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
1847: @end table
1848:
1849: @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
1850: @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
1851: $B<!$NDL$j$G$"$k(B.
1852: @table @var
1853: @item GB
1854: $B%0%l%V%J!<4pDl(B
1855: @item Homo
1856: $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
1857: @item Trace
1858: $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
1859: @item IntRed
1860: $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
1861: @item Ind
1862: $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
1863: @item InputRed
1864: $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1865: (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1866: @item SpairTrace
1867: $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1868: (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1869: @end table
1870: @item $B>\:Y$O(B, $BF~NOB?9`<0=89g$H%0%l%V%J!<4pDl$NAj8_JQ499TNs(B, $B$*$h$S(B syzygy $B7W;;(B
1871: $B4X?t$N9`$G@bL@$9$kM=Dj(B.
1872: @end itemize
1.21 takayama 1873:
1874: @example
1.34 ohara 1875: [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
1876: [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
1877: [2] D[0];
1878: [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
1879: [3] D[2];
1880: [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
1881: [4] D[6];
1882: [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
1883: @end example
1.21 takayama 1884:
1.34 ohara 1885: @table @t
1886: @item $B;2>H(B
1887: @ref{nd_gr}, @ref{nd_gr_trace}
1888: @end table
1.21 takayama 1889:
1890:
1.34 ohara 1891: @node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B
1892: @section $B%7%9%F%`(B
1.21 takayama 1893:
1.34 ohara 1894: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1895: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1896: @node asir-install.sh,,, $B%7%9%F%`(B
1897: @subsection @code{asir-port.sh}, @code{asir-install.sh}
1898: @findex asir-port.sh
1899: @findex asir-install.sh
1.23 takayama 1900:
1901: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1902: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1903: @table @t
1.34 ohara 1904: @item asir-install.sh
1905: @itemx asir-port.sh
1906: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
1.23 takayama 1907: @end table
1908:
1909:
1910: @itemize @bullet
1.34 ohara 1911: @item
1912: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1913: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1914: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
1915: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
1916: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
1917: @item
1918: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
1919: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
1920: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
1.23 takayama 1921: @end itemize
1922:
1923:
1924: @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
1925: @noindent
1926: ChangeLog
1927: @itemize @bullet
1.34 ohara 1928: @item
1929: $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.
1930: @item
1931: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1932: @item
1933: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
1934: 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
1935: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
1936: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
1.23 takayama 1937: @end itemize
1938:
1939:
1.34 ohara 1940: @node asirgui.hnd,,, $B%7%9%F%`(B
1941: @subsection @code{asirgui.hnd}
1942: @findex asirgui.hnd
1.23 takayama 1943:
1944: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1945: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1946: @table @t
1.34 ohara 1947: @item asirguid.hnd
1948: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
1.23 takayama 1949: @end table
1950:
1.34 ohara 1951: @comment ****************************************************************
1.23 takayama 1952:
1953: @itemize @bullet
1.48 ohara 1954: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B $B4D6-JQ?t(B TEMP $B$G;XDj$5$l$?%U%)%k%@$K$3$N%U%!%$%k$,:n@.$5$l$k(B.
1.35 takayama 1955: @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
1.34 ohara 1956: @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B.
1.37 takayama 1957: @item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$k(B. winfep $B$G$O$"$i$+$8$a%U%!%$%k$KF~NO%9%/%j%W%H$r=q$$$F$*$$$F(B, asirgui $B$G0l9T$E$D<B9T$5$;$k$3$H$,$G$-$k(B. winfep $B$O%W%l%<%s%F!<%7%g%sMQ$N%=%U%H%&%(%"$G$"$k(B. $B$3$l$O(B asirgui.hnd $B$rMxMQ$7$F$$$k(B.
1.23 takayama 1958: @end itemize
1959:
1960: @example
1.34 ohara 1961: // cl test.c user32.lib
1962:
1963: #include <windows.h>
1964: #include <stdlib.h>
1965: #include <stdio.h>
1966: #include <process.h>
1967:
1968: int main()
1969: @{
1970:
1971: HWND hnd;
1972: FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
1973: fscanf(fp,"%d",&hnd);
1974: fclose(fp);
1975: while (1) @{
1976: int c;
1977: c = getchar();
1978: if ( c == '#' ) break;
1979: PostMessage(hnd,WM_CHAR,c,1);
1980: @}
1981: return 0;
1982: @}
1.23 takayama 1983: @end example
1984:
1985: @table @t
1986: @item $B;2>H(B
1.34 ohara 1987: @ref{xyz_abc}
1.23 takayama 1988: @end table
1989:
1990: @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
1991: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1992: @noindent
1993: ChangeLog
1994: @itemize @bullet
1.34 ohara 1995: @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
1996: @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
1997: @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6
1.37 takayama 1998: @item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B.
1999: @item @code{OpenXM_contrib2/windows/winfep} 1.1
1.23 takayama 2000: @end itemize
2001:
2002:
1.34 ohara 2003: @comment ****************************************************************
2004:
2005: @node chdir,,, $B%7%9%F%`(B
2006: @subsection @code{chdir}, @code{pwd}
2007: @findex chdir
2008: @findex pwd
1.23 takayama 2009:
1.34 ohara 2010: @comment --- $B%G%#%l%/%H%jA`:n(B ---
1.23 takayama 2011: @table @t
1.34 ohara 2012: @item chdir(@var{directory})
2013: @item pwd()
2014: :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
1.23 takayama 2015: @end table
2016:
2017: @table @var
2018: @item return
1.34 ohara 2019: $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
2020: @item dirctory
2021: $BJ8;zNs(B
1.23 takayama 2022: @end table
2023:
2024: @itemize @bullet
1.34 ohara 2025: @item
2026: @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
2027: @item
2028: @code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B. $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B.
1.23 takayama 2029: @end itemize
2030:
2031: @example
1.34 ohara 2032: [0] S=pwd();
2033: /home/ohara
2034: [1] chdir(".../taka");
2035: -1
2036: [2] chdir("/usr/bin");
2037: 0
1.23 takayama 2038: @end example
2039:
2040: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2041: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2042: @noindent
2043: ChangeLog
2044: @itemize @bullet
1.34 ohara 2045: @item
2046: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
2047: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
1.23 takayama 2048: @end itemize
2049:
2050:
1.34 ohara 2051: @node dcurrenttime,,, $B%7%9%F%`(B
2052: @subsection @code{dcurrenttime}
2053: @findex dcurrenttime
1.23 takayama 2054:
1.34 ohara 2055: @comment --- $B8=:_;~9o$r<hF@(B ---
1.23 takayama 2056: @table @t
1.34 ohara 2057: @item dcurrenttime()
2058: :: $B8=:_;~9o$r<hF@(B.
1.23 takayama 2059: @end table
2060:
1.34 ohara 2061: @table @var
2062: @item return
2063: $BIbF0>.?tE@?t(B
2064: @end table
1.23 takayama 2065:
2066: @itemize @bullet
1.34 ohara 2067: @item
2068: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
1.23 takayama 2069: @end itemize
2070:
2071: @example
1.34 ohara 2072: [0] ctrl("real_digit", 16);
2073: 16
2074: [1] dcurrenttime();
2075: 1226390851.34476
2076: [2] currenttime();
2077: 1226390854
1.23 takayama 2078: @end example
2079:
2080: @table @t
2081: @item $B;2>H(B
1.34 ohara 2082: @ref{currenttime}
1.23 takayama 2083: @end table
2084:
2085: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2086: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2087: @noindent
2088: ChangeLog
2089: @itemize @bullet
1.34 ohara 2090: @item
2091: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
2092: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
1.23 takayama 2093: @end itemize
2094:
2095:
1.47 takayama 2096: @node getpid,,, $B%7%9%F%`(B
2097: @subsection @code{getpid}
2098: @findex getpid
2099:
2100: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2101: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2102: @table @t
2103: @item getpid()
2104: @end table
2105:
2106: @table @var
2107: @item return
2108: $B@0?t(B
2109: @end table
2110:
2111: @itemize @bullet
2112: @item asir $B$N%W%m%;%9HV9f$rLa$9(B.
1.48 ohara 2113: @item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U$G$"$k(B.
1.47 takayama 2114: @end itemize
2115:
2116: @example
1.48 ohara 2117: [219] getpid();
1.47 takayama 2118: 3214
2119: @end example
2120:
2121:
2122: @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
2123: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2124: @noindent
2125: ChangeLog
2126: @itemize @bullet
2127: @item $B$3$N4X?t$O(B ox_work_dir() $B4X?t$,0l0U$J:n6H%U%!%$%kL>$rF@$k$?$a$K;H$o$l$F$$$k(B.
2128: src/asir-contrib/packages/src/misc/rr 1.3,
2129: asir2000/builtin/file.c 1.28, rat.c 1.5,
2130: asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
2131: @end itemize
2132:
2133:
1.48 ohara 2134: @node loadpath,,, $B%7%9%F%`(B
2135: @subsection @code{loadpath}
2136: @findex loadpath
2137:
2138: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2139: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2140: @table @t
2141: @item ctrl(``loadpath''[,list])
2142: @end table
2143:
2144: @table @var
2145: @item list
2146: $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B
2147: @item return
2148: $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B, $B$^$?$O?t(B(list$B$,M?$($i$l$?$H$-(B)
2149: @end table
2150:
2151: @itemize @bullet
2152: @item asir $B$NAH$_9~$_4X?t(B ctrl $B$N%9%$%C%A$N$R$H$D$G$"$k(B.
2153: @item asir $B$N%m!<%I%Q%9$N=PNO$^$?$O@_Dj$r9T$&(B.
2154: @end itemize
2155:
2156: @example
2157: [0] L=ctrl("loadpath");
2158: [/home/you/OpenXM/lib/asir-contrib,/home/you/OpenXM/lib/asir,.]
2159: [1] ctrl("loadpath", cons(getenv("HOME")+"/lib",L));
2160: 0
2161: @end example
2162:
2163:
2164: @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
2165: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2166: @noindent
2167: ChangeLog
2168: @itemize @bullet
2169: @item $B$3$N4X?t$O(B 2014-5-12 $B$K%3%_%C%H$5$l$?(B.
2170: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.41) $B$G$"$k(B.
2171: @end itemize
2172:
2173:
2174: @node sysinfo,,, $B%7%9%F%`(B
2175: @subsection @code{sysinfo}
2176: @findex sysinfo
2177:
2178: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2179: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2180: @table @t
2181: @item sysinfo()
2182: @end table
2183:
2184: @table @var
2185: @item return
2186: $BJ8;zNs$N%j%9%H(B
2187: @end table
2188:
2189: @itemize @bullet
2190: @item asir $B$NF0:n$7$F$$$k%*%Z%l!<%F%#%s%0%7%9%F%`$N>pJs$rJV$9(B.
2191: @item $B%j%9%H$N3F@.J,$O(B, OS$B%?%$%W(B, $B%+!<%M%kL>(B, OS$BL>(B, CPU$B%?%$%W(B, OS$B%P!<%8%g%s(B, $B40A4$J>pJs(B, $B%m%1!<%k$G$"$k(B.
2192: @item OS$B%?%$%W$O(B unix, macosx, windows $B$N$$$:$l$+$G$"$k(B.
2193: @item unix $B$*$h$S(B macosx $B$K$*$$$F$O(B, $B%7%9%F%`%3!<%k$*$h$S(B uname $B%3%^%s%I$K$h$j>pJs$r<hF@$7$F$$$k(B.
2194: windows $B$G$O(B, GetVersionEx() $B$J$I$N(B Win32 API $B$,MQ$$$i$l$F$$$k(B.
2195: @end itemize
2196:
2197: @example
2198: [0] sysinfo();
2199: [windows,WindowsNT,Windows7,x86_64,6.1.7601,WindowsNT 6.1.7601 Windows7 Service Pack 1 x86_64,ja]
2200: @end example
2201:
2202:
2203: @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
2204: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2205: @noindent
2206: ChangeLog
2207: @itemize @bullet
2208: @item $B$3$N4X?t$O(B 2014-5-14 $B$K%3%_%C%H$5$l$?(B.
2209: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.42) $B$G$"$k(B.
2210: @end itemize
2211:
2212:
1.34 ohara 2213: @comment ****************************************************************
2214:
2215:
2216: @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
2217: @section $B8@8l(B
2218:
2219: @node get_struct_name,,, $B8@8l(B
2220: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
2221: @findex get_struct_name
2222: @findex get_element_names
2223: @findex get_element_at
2224: @findex put_element_at
1.23 takayama 2225:
2226: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2227: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2228: @table @t
1.34 ohara 2229: @item get_struct_name(@var{s})
2230: @itemx get_element_names(@var{s})
2231: @itemx get_element_at(@var{s},@var{key})
2232: @itemx put_element_at(@var{s},@var{key},@var{obj})
2233: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
1.23 takayama 2234: @end table
2235:
2236: @table @var
2237: @item return
1.34 ohara 2238: $BJ8;zNs(B (get_struct_name),
2239: $BJ8;zNs$N%j%9%H(B (get_element_names),
2240: $B%*%V%8%'%/%H(B (get_element_at),
2241: $B%*%V%8%'%/%H(B (put_element_at)
2242: @item s
2243: $B9=B$BN(B
2244: @item key
2245: $BJ8;zNs(B
2246: @item obj
2247: $B%*%V%8%'%/%H(B
1.23 takayama 2248: @end table
2249:
2250: @itemize @bullet
1.34 ohara 2251: @item
2252: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
2253: @item
2254: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
2255: @item
2256: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
2257: @item
2258: @code{put_element_at(s,key,obj)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$r(B obj $B$K@_Dj$9$k(B.
1.23 takayama 2259: @end itemize
2260:
2261: @example
1.34 ohara 2262: [219] struct point @{ x, y, color@};
2263: [220] P = newstruct(point);
2264: @{0,0,0@}
2265: [221] P->x = 10$ P->y=5$ P->color="red"$
2266: [222] get_element_names(P);
2267: [x,y,color]
2268: [223] put_element_at(P,"color","blue");
2269: blue
2270: [224] P->color;
2271: bule
1.23 takayama 2272: @end example
2273:
2274: @table @t
2275: @item $B;2>H(B
1.34 ohara 2276: @ref{newstruct}, @ref{struct}
1.23 takayama 2277: @end table
2278:
2279: @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
2280: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2281: @noindent
2282: ChangeLog
2283: @itemize @bullet
1.34 ohara 2284: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
2285: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
2286: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
1.23 takayama 2287: @end itemize
2288:
2289:
1.34 ohara 2290: @comment mapat
2291: @node mapat,,, $B8@8l(B
2292: @subsection @code{mapat}
2293: @findex mapat
1.23 takayama 2294:
2295: @table @t
1.34 ohara 2296: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
2297: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
1.23 takayama 2298: @end table
2299:
2300: @table @var
2301: @item return
1.34 ohara 2302: $B%*%V%8%'%/%H(B
2303: @item pos
2304: $B@0?t(B
2305: @item arg0, arg1, arg2, ...
2306: $B%*%V%8%'%/%H(B
1.23 takayama 2307: @end table
2308:
2309: @itemize @bullet
1.34 ohara 2310: @item
2311: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
2312: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
2313: @item
2314: @code{mapat(fname,0,A0,A1,...)} $B$O(B
2315: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
2316: @item
2317: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
1.23 takayama 2318: @end itemize
2319:
2320: @example
1.34 ohara 2321: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
2322: [2,3]
2323: [220] mapat(subst,1,x+y+z,[x,y,z],2);
2324: [y+z+2,x+z+2,x+y+2]
1.23 takayama 2325: @end example
2326:
2327: @table @t
2328: @item $B;2>H(B
1.34 ohara 2329: @ref{map}
1.23 takayama 2330: @end table
2331:
2332: @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
2333: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2334: @noindent
2335: ChangeLog
2336: @itemize @bullet
1.34 ohara 2337: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2338: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
1.23 takayama 2339: @end itemize
2340:
1.34 ohara 2341: @comment list
2342: @node list,,, $B8@8l(B
2343: @subsection @code{list}
2344: @findex list
1.23 takayama 2345:
2346: @table @t
1.34 ohara 2347: @item list([@var{arg0}, @var{arg1}, ...])
2348: :: list $B$r@8@.$9$k(B.
1.23 takayama 2349: @end table
2350:
2351: @table @var
2352: @item return
2353: $B%j%9%H(B
1.34 ohara 2354: @item arg0, arg1, arg2, ...
2355: $B%*%V%8%'%/%H(B
1.23 takayama 2356: @end table
2357:
1.34 ohara 2358: @itemize @bullet
2359: @item
2360: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
1.23 takayama 2361: @end itemize
2362:
2363: @example
1.34 ohara 2364: [219] list(1,2,3);
2365: [1,2,3]
2366: [220] list(1,2,[3,4]);
2367: [1,2,[3,4]]
1.23 takayama 2368: @end example
2369:
2370: @table @t
2371: @item $B;2>H(B
1.34 ohara 2372: @ref{cons}
1.23 takayama 2373: @end table
2374:
2375: @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
2376: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2377: @noindent
2378: ChangeLog
2379: @itemize @bullet
1.34 ohara 2380: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2381: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1.23 takayama 2382: @end itemize
2383:
2384:
1.34 ohara 2385: @node assoc,,, $B8@8l(B
2386: @subsection @code{assoc}
2387: @findex assoc
1.23 takayama 2388:
2389: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2390: @table @t
1.34 ohara 2391: @item assoc(@var{a},@var{b})
2392: :: $BO"A[%j%9%H$r$D$/$k(B
1.23 takayama 2393: @end table
2394:
2395: @table @var
2396: @item return
1.34 ohara 2397: List
2398: @item a
2399: List
2400: @item b
2401: List
1.23 takayama 2402: @end table
2403:
2404: @itemize @bullet
1.34 ohara 2405: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
2406: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
2407: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1.23 takayama 2408: @end itemize
2409:
1.34 ohara 2410: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
2411: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
2412: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
2413:
1.23 takayama 2414: @example
1.34 ohara 2415: [1192] A=["dog","cat","snake"];
2416: [dog,cat,snake]
2417: [1193] B=[4,4,0];
2418: [4,4,0]
2419: [1194] assoc(A,B);
2420: [[dog,4],[cat,4],[snake,0]]
1.23 takayama 2421: @end example
2422:
2423: @table @t
2424: @item $B;2>H(B
1.34 ohara 2425: @ref{cons}, @ref{append}
1.23 takayama 2426: @end table
2427:
2428: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2429: @noindent
2430: ChangeLog
2431: @itemize @bullet
1.34 ohara 2432: @item
2433: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
2434: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
2435: builtin/list.c 1.9
2436: parse/eval.c 1.35,
2437: parse/parse.h 1.31,
2438: parse/quote.c 1.14--1.16.
1.23 takayama 2439: @end itemize
2440:
1.34 ohara 2441:
2442: @node set_secure_flag,,, $B8@8l(B
2443: @subsection @code{set_secure_flag}, @code{set_secure_mode}
2444: @findex set_secure_flag
2445: @findex set_secure_mode
1.23 takayama 2446:
2447: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2448: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2449: @table @t
1.34 ohara 2450: @item set_secure_flag(@var{fname},@var{m})
2451: @itemx set_secure_mode(@var{m})
2452: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1.23 takayama 2453: @end table
2454:
2455: @table @var
2456: @item return
2457: $B@0?t(B
1.34 ohara 2458: @item fname
2459: $BJ8;zNs(B
2460: @item m
2461: $B@0?t(B
1.23 takayama 2462: @end table
2463:
2464: @itemize @bullet
1.34 ohara 2465: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
2466: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2467: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2468: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2469: $B4X?t$7$+<B9T$G$-$J$$(B.
2470: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2471: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2472: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
2473: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
2474: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
2475: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
2476: @item
2477: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
2478: $B$K$9$k(B.
2479: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
2480: @item
2481: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
2482: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
2483: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
2484: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
2485: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
2486: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.23 takayama 2487: @end itemize
2488:
2489: @example
1.34 ohara 2490: [1194] set_secure_flag("print_input_form_",1);
2491: 1
2492: [1195] set_secure_flag("fctr",1);
2493: 1
2494: [220] set_secure_mode(1);
2495: 1
2496: [1197] fctr((x-1)^3);
2497: [[1,1],[x-1,3]]
2498: [1198] fctr(shell("ls"));
2499: evalf : shell not permitted
2500: return to toplevel
1.23 takayama 2501: @end example
2502:
2503: @table @t
2504: @item $B;2>H(B
1.34 ohara 2505: @ref{timer}
1.23 takayama 2506: @end table
2507:
2508: @noindent
2509: ChangeLog
2510: @itemize @bullet
1.34 ohara 2511: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
2512: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2513: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
2514: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2515: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2516: $B4X?t$7$+<B9T$G$-$J$$(B.
2517: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2518: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2519: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
2520: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
2521: $BMxMQ$9$k(B.
2522: cgi-asir.sh $B$G$O(B
2523: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
2524: @item
2525: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
2526: @item
2527: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
2528: @item
2529: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
2530: @item
2531: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.23 takayama 2532: @end itemize
2533:
1.34 ohara 2534: @node initialize_static_variable,,, $B8@8l(B
2535: @subsection @code{initialize_static_variable}
2536: @findex initialize_static_variable
2537:
1.23 takayama 2538:
1.34 ohara 2539: @comment --- $B@bL@(B ---
1.23 takayama 2540: @table @t
1.34 ohara 2541: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.23 takayama 2542: @end table
2543:
2544:
2545: @itemize @bullet
1.34 ohara 2546: @item static $BJQ?t$N<h07(B.
2547: $B2<$NNc$r;2>H$N$3$H(B.
1.23 takayama 2548: @end itemize
2549:
1.34 ohara 2550:
1.23 takayama 2551: @example
1.34 ohara 2552: if (1) @{
2553: module abc;
2554: static A;
2555: A=1;
2556: endmodule;
2557: @} else @{ @};
1.23 takayama 2558:
1.34 ohara 2559: end$
2560: $B$r(B t.rr $B$H$9$k$H$-(B,
1.23 takayama 2561:
1.34 ohara 2562: [6] load("./t.rr");
2563: 1
2564: internal error (SEGV)
2565: $B$H$J$k(B.
1.23 takayama 2566:
1.34 ohara 2567: t.rr $B$r(B
2568: if (1) @{
2569: module abc;
2570: static A;
2571: localf initA;
2572: localf foo;
2573: def initA() @{
2574: A=1;
2575: @}
2576: initA();
2577: def foo() @{
2578: return A;
2579: @}
2580: endmodule;
2581: @} else @{ @};
1.23 takayama 2582:
1.34 ohara 2583: end$
2584: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1.23 takayama 2585: @end example
2586:
1.34 ohara 2587: @comment --- ChangeLog
1.23 takayama 2588: @noindent
2589: ChangeLog
2590: @itemize @bullet
1.34 ohara 2591: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
2592: @item oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
2593: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1.23 takayama 2594: @end itemize
1.34 ohara 2595:
1.23 takayama 2596: @comment ****************************************************************
1.13 takayama 2597:
1.34 ohara 2598: @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
2599: @section $B?tO@!&Be?t(B
2600:
1.24 takayama 2601:
1.34 ohara 2602: @node small_jacobi,,, $B?tO@!&Be?t(B
2603: @subsection @code{small_jacobi}
2604: @findex small_jacobi
1.24 takayama 2605:
2606: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2607: @table @t
1.34 ohara 2608: @item small_jacobi(@var{a},@var{m})
2609: :: Jacobi $B5-9f$N7W;;(B
1.24 takayama 2610: @end table
2611:
1.34 ohara 2612: @table @var
2613: @item return
2614: $B@0?t(B
2615: @item arg1, arg2
2616: $B@0?t(B
2617: @end table
1.24 takayama 2618:
2619: @itemize @bullet
1.34 ohara 2620: @item
2621: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
2622: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
2623: @item
2624: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
2625: @item
2626: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1.24 takayama 2627: @end itemize
2628:
2629: @example
1.34 ohara 2630: [1286] small_jacobi(2,3);
2631: -1
2632: [1287] small_jacobi(2,7);
2633: 1
1.24 takayama 2634: @end example
2635:
2636: @table @t
2637: @item $B;2>H(B
1.34 ohara 2638: http://members.jcom.home.ne.jp/yokolabo/asirlib/
2639: $B$b8+$F$M(B.
1.24 takayama 2640: @end table
2641:
2642: @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
2643: @noindent
2644: ChangeLog
2645: @itemize @bullet
1.34 ohara 2646: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1.24 takayama 2647: @end itemize
2648:
1.34 ohara 2649:
2650: @node noro_matrix.rr,,, $B?tO@!&Be?t(B
1.25 takayama 2651: @subsection @code{noro_matrix.rr}
2652: @findex noro_matrix.rr
2653:
2654: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2655: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2656: @table @t
2657: @item linalg.unit_mat(@var{arg1})
2658: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
2659: @item linalg.minipoly_mat(@var{arg1})
2660: @item linalg.compute_kernel(@var{arg1})
2661: @item linalg.compute_image(@var{arg1})
2662: @item linalg.jordan_canonical_form(@var{arg1})
2663: @end table
2664:
2665:
2666: @itemize @bullet
2667: @item $B4JC1$J2r@b$*$h$S<BNc$O(B http://www.math.kobe-u.ac.jp/HOME/taka/2007/knx/noro_matrix-ja.txt $B$r;2>H(B.
2668: @end itemize
2669:
2670: @example
2671: load("noro_matrix.rr");
2672: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
2673: B=linalg.jordan_canonical_form(A);
2674: @end example
2675:
2676: @table @t
2677: @item $B;2>H(B
2678: @ref{invmat}
2679: @end table
2680:
2681: @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
2682: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2683: @noindent
2684: ChangeLog
2685: @itemize @bullet
2686: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
2687: @item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
2688: @end itemize
2689:
2690:
1.34 ohara 2691: @node f_res,,, $B?tO@!&Be?t(B
1.26 takayama 2692: @subsection @code{f_res}
2693: @findex f_res
1.25 takayama 2694:
2695: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2696: @table @t
1.26 takayama 2697: @item f_res
1.25 takayama 2698: @end table
2699:
2700:
2701: @itemize @bullet
1.26 takayama 2702: @item f_res $B$O3F<o$N=*7k<0$r7W;;$9$k%b%8%e!<%k$G$"$k(B. ox_grep("f_res"); $B$G(B online manual $B$r1\Mw2DG=$G$"$k(B.
1.25 takayama 2703: @end itemize
2704:
2705: @table @t
2706: @item $B;2>H(B
2707: @ref{}
2708: @end table
2709:
2710: @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
2711: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2712: @noindent
2713: ChangeLog
2714: @itemize @bullet
2715: @item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B.
1.26 takayama 2716: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25 takayama 2717: @end itemize
2718:
2719:
1.34 ohara 2720: @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
2721: @section D $B2C72$N@)8B$K4X$9$k4X?t(B
1.27 ohara 2722:
2723:
1.34 ohara 2724: @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2725: @subsection @code{nk_restriction.restriction}
2726: @comment --- $B:w0zMQ%-!<%o!<%I(B
2727: @findex nk_restriction.restriction
2728:
2729: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2730: @table @t
1.34 ohara 2731: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 ! nakayama 2732: :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B,
! 2733: $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
1.29 nakayama 2734: @end table
2735:
2736: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2737: @table @var
2738: @item Id
2739: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2740: @item VL
2741: $BJQ?t$N%j%9%H(B
2742: @item DVL
2743: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2744: @item W
2745: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2746: @end table
2747:
2748: @itemize @bullet
2749: @item
1.52 ! nakayama 2750: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
! 2751: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2752: @item
1.52 ! nakayama 2753: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
! 2754: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
! 2755: x,y $B$K$D$$$F@)8B$r9T$&(B.
1.29 nakayama 2756: @end itemize
2757:
1.52 ! nakayama 2758: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2759: @iftex
1.29 nakayama 2760: @tex
1.34 ohara 2761: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2762: @end tex
1.52 ! nakayama 2763: $B$H$*$$$?;~(B, D $B2C72(B
! 2764: @tex $M = D / I$ @end tex
! 2765: $B$N(B
! 2766: @tex $x$ @end tex
1.34 ohara 2767: @end iftex
2768: @ifinfo
1.52 ! nakayama 2769: I = D . @{ x dx -1, y dy - 1 @} $B$H$*$$$?;~(B,
! 2770: D $B2C72(B M = D / I $B$N(B x
1.34 ohara 2771: @end ifinfo
1.52 ! nakayama 2772: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
1.29 nakayama 2773: @example
2774: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2775: -- generic_bfct_and_gr :0.001sec(0.001629sec)
2776: generic bfct : [[1,1],[s-1,1]]
2777: S0 : 1
1.33 ohara 2778: B_@{S0@} length : 2
1.29 nakayama 2779: -- fctr(BF) + base :0.000999sec(0.0005109sec)
2780: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
2781: @end example
1.51 nakayama 2782: $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
2783: $B@)8B2C72$N4pDl(B
1.52 ! nakayama 2784: @iftex
1.51 nakayama 2785: @tex $\partial_x^1, \partial_x^0$ @end tex
2786: $B$r0UL#$7(B,
2787: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
2788: @tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex
1.52 ! nakayama 2789: @end iftex
! 2790: @ifinfo
! 2791: dx^1, dx^0
! 2792: $B$r0UL#$7(B,
! 2793: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
! 2794: (y dy - 1, 0), (0, ydy-1), (-1,0)
! 2795: @end ifinfo
1.51 nakayama 2796: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.29 nakayama 2797:
2798: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2799: @subsection @code{nk_restriction.restriction_ideal}
2800: @comment --- $B:w0zMQ%-!<%o!<%I(B
2801: @findex nk_restriction.restriction_ideal
2802:
2803: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2804: @table @t
1.34 ohara 2805: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 ! nakayama 2806: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9(B.
1.29 nakayama 2807: @end table
2808:
2809: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2810: @table @var
2811: @item Id
2812: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2813: @item VL
2814: $BJQ?t$N%j%9%H(B
2815: @item DVL
2816: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2817: @item W
2818: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2819: @end table
2820:
2821: @itemize @bullet
2822: @item
1.52 ! nakayama 2823: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
! 2824: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2825: @item
1.52 ! nakayama 2826: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
! 2827: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
! 2828: x,y $B$K$D$$$F@)8B$r9T$&(B.
1.29 nakayama 2829: @end itemize
2830:
1.52 ! nakayama 2831: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2832: @iftex
1.52 ! nakayama 2833: @tex $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ @end tex
1.29 nakayama 2834: $B$N(B
1.52 ! nakayama 2835: @tex $x$ @end tex
1.34 ohara 2836: @end iftex
2837: @ifinfo
2838: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2839: @end ifinfo
1.29 nakayama 2840: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
2841: @example
2842: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2843: -- generic_bfct_and_gr :0.002sec(0.001652sec)
2844: generic bfct : [[1,1],[s-1,1]]
2845: S0 : 1
1.33 ohara 2846: B_@{S0@} length : 2
1.29 nakayama 2847: -- fctr(BF) + base :0sec(0.000566sec)
2848: -- restriction_ideal_internal :0.001sec(0.0007441sec)
2849: [-1]
2850: @end example
2851:
1.34 ohara 2852: @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2853: @subsection @code{nk_restriction.integration}
2854: @comment --- $B:w0zMQ%-!<%o!<%I(B
2855: @findex nk_restriction.integration
2856:
2857: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2858: @table @t
1.34 ohara 2859: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 ! nakayama 2860: :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
1.29 nakayama 2861: @end table
2862:
2863: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2864: @table @var
2865: @item Id
2866: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2867: @item VL
2868: $BJQ?t$N%j%9%H(B
2869: @item DVL
2870: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2871: @item W
2872: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2873: @end table
2874:
2875: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2876: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2877: @comment --- @bullet $B$O9uE@IU$-(B ---
2878: @itemize @bullet
2879: @item
1.52 ! nakayama 2880: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
! 2881: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2882: @item
1.52 ! nakayama 2883: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
! 2884: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
! 2885: x,y $B$K$D$$$F@QJ,$r9T$&(B.
1.29 nakayama 2886: @end itemize
2887:
1.52 ! nakayama 2888: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2889: @iftex
1.52 ! nakayama 2890: @tex $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\}$ @end tex
! 2891: $B$H$*$$$?;~(B, D $B2C72(B
! 2892: @tex $M = D / I$ @end tex
! 2893: $B$N(B
! 2894: @tex $t$ @end tex
1.34 ohara 2895: @end iftex
2896: @ifinfo
1.52 ! nakayama 2897: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @}
! 2898: $B$H$*$$$?;~(B, D $B2C72(B M = D / I $B$N(B t
1.34 ohara 2899: @end ifinfo
1.52 ! nakayama 2900: $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
1.29 nakayama 2901: @example
2902: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
2903: [dt,dx],[1,0]);
2904: -- generic_bfct_and_gr :0.001sec(0.001796sec)
2905: generic bfct : [[1,1],[s,1],[s-1,1]]
2906: S0 : 1
1.33 ohara 2907: B_@{S0@} length : 2
1.29 nakayama 2908: -- fctr(BF) + base :0.001sec(0.0006731sec)
2909: [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
2910: @end example
1.51 nakayama 2911: $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
2912: $B@QJ,2C72$N4pDl(B
1.52 ! nakayama 2913: @iftex
1.51 nakayama 2914: @tex $t^1, t^0$ @end tex
1.52 ! nakayama 2915: @end iftex
! 2916: @ifinfo
! 2917: t^1, t^0
! 2918: @end ifinfo
1.51 nakayama 2919: $B$r0UL#$7(B,
2920: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B
1.52 ! nakayama 2921: @iftex
1.51 nakayama 2922: @tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x),
2923: (0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex
1.52 ! nakayama 2924: @end iftex
! 2925: @ifinfo
! 2926: (4 x dx^2 + 6 dx, 0), (0, -4 x dx^2 - 6 dx),
! 2927: (0, -2 x dx), (0, 2 dx)
! 2928: @end ifinfo
1.51 nakayama 2929: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.29 nakayama 2930:
1.34 ohara 2931: @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2932: @subsection @code{nk_restriction.integration_ideal}
2933: @comment --- $B:w0zMQ%-!<%o!<%I(B
2934: @findex nk_restriction.integration_ideal
2935:
2936: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2937: @table @t
1.34 ohara 2938: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 ! nakayama 2939: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9(B.
1.29 nakayama 2940: @end table
2941:
2942: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2943: @table @var
2944: @item Id
2945: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2946: @item VL
2947: $BJQ?t$N%j%9%H(B
2948: @item DVL
2949: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2950: @item W
2951: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2952: @end table
2953:
2954: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2955: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2956: @comment --- @bullet $B$O9uE@IU$-(B ---
2957: @itemize @bullet
2958: @item
1.52 ! nakayama 2959: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
! 2960: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2961: @item
1.52 ! nakayama 2962: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
! 2963: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
! 2964: x,y $B$K$D$$$F@QJ,$r9T$&(B.
1.29 nakayama 2965: @end itemize
2966:
1.52 ! nakayama 2967: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2968: @iftex
2969: @tex
1.29 nakayama 2970: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2971: @end tex
1.29 nakayama 2972: $B$N(B
1.52 ! nakayama 2973: @tex $t$ @end tex
1.34 ohara 2974: @end iftex
2975: @ifinfo
2976: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2977: @end ifinfo
1.52 ! nakayama 2978: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
1.29 nakayama 2979: @example
2980: [1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
2981: [dt,dx],[1,0]);
2982: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
2983: generic bfct : [[1,1],[s,1],[s-1,1]]
2984: S0 : 1
1.33 ohara 2985: B_@{S0@} length : 2
1.29 nakayama 2986: -- fctr(BF) + base :0.001sec(0.001091sec)
2987: -- integration_ideal_internal :0.002sec(0.001879sec)
2988: [2*x*dx+1]
2989: @end example
2990:
1.42 nisiyama 2991: @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2992: @subsection @code{nk_restriction.ann_mul}
2993: @comment --- $B:w0zMQ%-!<%o!<%I(B
2994: @findex nk_restriction.ann_mul
2995:
2996: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2997: @table @t
2998: @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
2999: :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
3000: @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
3001: @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
3002: @end table
3003:
3004: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3005: @table @var
3006: @item I
3007: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3008: @item J
3009: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3010: @item VL
3011: $BJQ?t$N%j%9%H(B
3012: @item DVL
3013: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3014: @end table
3015:
3016: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3017: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3018: @comment --- @bullet $B$O9uE@IU$-(B ---
3019: @itemize @bullet
3020: @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
3021: @end itemize
3022:
3023:
3024: @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
1.36 nisiyama 3025: @subsection @code{nk_restriction (option)}
3026: @comment --- $B:w0zMQ%-!<%o!<%I(B
3027: @findex nk_restriction (option)
3028:
3029: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3030: @table @t
3031: @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 3032: @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 3033: @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 3034: @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 3035: :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
3036: @end table
3037:
3038: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3039: @table @var
3040: @item @var{n}
3041: 0 $B$^$?$O(B 1
3042: @item @var{p}
3043: $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
3044: @item @var{m}
3045: $B@0?t(B
1.39 nisiyama 3046: @item @var{b}
3047: 0, 1, 2, 3 $B$N$$$:$l$+(B
3048: @item @var{ord}
3049: $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
1.36 nisiyama 3050: @end table
3051:
3052: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3053: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3054: @comment --- @bullet $B$O9uE@IU$-(B ---
3055: @itemize @bullet
3056: @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
3057:
3058: restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
3059: @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
3060:
3061: @iftex
3062: @tex
3063: {\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I}
3064: @end tex
3065: @end iftex
3066: @ifinfo
3067: J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I
3068: @end ifinfo
3069:
3070: $B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B.
3071: $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
3072: $B%3%a%s%H$r;2>H(B.
3073:
3074: restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
3075: restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
3076: $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
3077:
3078: @item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B.
3079: $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
3080: $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
3081: $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
3082:
3083: @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
3084: $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
3085: @var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B
3086: $BMxMQ$G$-$k(B.
3087:
3088: @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
3089: $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
1.39 nisiyama 3090:
3091: @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
3092: $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
3093: $B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B.
3094:
3095: 0: $B@F<!2=$J$7(B, trace $B$J$7(B
3096:
3097: 1: $B@F<!2=$J$7(B, trace $B$"$j(B
3098:
3099: 2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
3100:
3101: 3: $B@F<!2=$"$j(B, trace $B$"$j(B
3102:
3103: @item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B
3104: $B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker
3105: $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
3106: $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
3107:
3108: $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
1.36 nisiyama 3109: @end itemize
3110:
3111: $B0J2<$O(B,
3112: @iftex
3113: @tex
3114: $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
3115: @end tex
3116: $B$N(B annihilator
3117: @tex
3118: $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
3119: \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
3120: (xt-1) \partial_x+at \}$
3121: @end tex
3122: $B$N(B
3123: @tex
3124: $t$
3125: @end tex
3126: $B$K$D$$$F$N@QJ,%$%G%"%k(B
3127: @tex
3128: $J$
3129: @end tex
3130: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3131: @end iftex
3132: @ifinfo
3133: t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
3134: $B$N(B annihilator
3135: I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
3136: (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
3137: $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
3138: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3139: @end ifinfo
3140: @example
3141: [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
3142: [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
3143: [(x^2-x)*dx^2+((t-1)*dt+(a+b+1)*x-c+1)*dx+b*a,(-t+1)*x*dx+(t^2-t)*dt+(-c+2)*t+b-1,(t*x-1)*dx+a*t]
3144: [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
3145: -- nd_weyl_gr :0sec(0.001875sec)
3146: -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
3147: -- generic_bfct_and_gr :0.008001sec(0.006181sec)
3148: generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
3149: S0 : 0
3150: B_{S0} length : 1
3151: -- fctr(BF) + base :0sec(0.003848sec)
3152: -- integration_ideal_internal :0sec(0.07707sec)
3153: [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
3154: @end example
3155: @iftex
3156: $B$3$N=PNO$O(B
3157: @tex
3158: $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
3159: - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
3160: @end tex
3161: $B$G$"$k$3$H$r0UL#$9$k(B.
3162: @end iftex
3163: @ifinfo
3164: $B$3$N=PNO$O(B
3165: @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
3166: $B$G$"$k$3$H$r0UL#$9$k(B.
3167: @end ifinfo
3168:
1.42 nisiyama 3169: @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
1.39 nisiyama 3170: @subsection @code{nk_restriction.trans_inhomo}
3171: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.42 nisiyama 3172: @findex nk_restriction.trans_inhomo
1.39 nisiyama 3173:
3174: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3175: @table @t
3176: @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
3177: :: D $B2C72$N@)8B%$%G%"%k(B, $B@QJ,%$%G%"%k$N@8@.85$KBP$9$kHs@F<!ItJ,$N>pJs$+$i(B, $BG$0U$N85$KBP$9$kHs@F<!ItJ,$r7W;;$9$k4X?t(B
3178: @end table
3179:
3180: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3181: @table @var
3182: @item P
3183: $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
3184: @item INT
3185: nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
3186:
3187: nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
3188: @item VL
3189: $BJQ?t$N%j%9%H(B
3190: @item DVL
3191: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3192: @item W
3193: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3194: @end table
3195:
3196: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3197: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3198: @comment --- @bullet $B$O9uE@IU$-(B ---
3199: @itemize @bullet
3200: @item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B.
3201: @item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
3202: @end itemize
3203:
1.42 nisiyama 3204: @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
3205: @subsection @code{nk_restriction.ost_integration_ideal}
3206: @comment --- $B:w0zMQ%-!<%o!<%I(B
3207: @findex nk_restriction.ost_integration_ideal
3208:
3209: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3210: $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
1.43 nisiyama 3211: $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
1.42 nisiyama 3212: @table @t
3213: @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3214: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
3215: @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3216: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
3217: @end table
3218:
3219: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3220: @table @var
3221: @item Id
3222: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3223: @item VL
3224: $BJQ?t$N%j%9%H(B
3225: @item DVL
3226: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3227: @item W
3228: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3229: @item LB
3230: $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
3231: @item UB
3232: $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
3233: @end table
3234:
3235: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3236: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3237: @comment --- @bullet $B$O9uE@IU$-(B ---
3238: @itemize @bullet
3239: @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B.
3240: @end itemize
3241:
1.43 nisiyama 3242: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
1.42 nisiyama 3243: @iftex
3244: @tex
3245: $ \int_0^\infty \exp((-t^3+t)x) dt $
3246: @end tex
1.44 nisiyama 3247: $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
1.42 nisiyama 3248: @tex
3249: $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
3250: @end tex
3251: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3252: @end iftex
3253: @ifinfo
3254: \int_0^$B!g(B exp((-t^3+t)x) dt
3255: $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3256: I = < dt +(3t^2-1)x, dx+t^3-t >
3257: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3258: @end ifinfo
3259: @example
3260: [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
3261: [1872] VL=[t,x]$
3262: [1873] DVL=[dt,dx]$
3263: [1874] W=[1,0]$
3264: [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
3265: -- nd_weyl_gr :0.008sec(0.006768sec)
3266: -- weyl_minipoly :0.004001sec(0.003029sec)
3267: -- generic_bfct_and_gr :0.012sec(0.0129sec)
3268: generic bfct : [[1,1],[s,1],[s-2,1]]
3269: S0 : 2
3270: B_{S0} length : 3
3271: -- fctr(BF) + base :0.008sec(0.007395sec)
3272: -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
3273: [-27*x^3*dx^3-54*x^2*dx^2+(4*x^3+3*x)*dx+4*x^2-3,27*x^2*dx^4+135*x*dx^3+(-4*x^2+105)*dx^2-16*x*dx-8]
3274:
3275:
3276: [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
3277: ($BN,(B)
3278: [27*x^3*dx^3+54*x^2*dx^2+(-4*x^3-3*x)*dx-4*x^2+3,-27*x^2*dx^4-135*x*dx^3+(4*x^2-105)*dx^2+16*x*dx+8]
3279: @end example
3280: $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
3281:
1.44 nisiyama 3282: @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
3283: @subsection @code{nk_restriction.ost_sum}
3284: @comment --- $B:w0zMQ%-!<%o!<%I(B
3285: @findex nk_restriction.ost_sum
3286:
3287: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3288: @table @t
3289: @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
3290: :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
3291: @end table
3292:
3293: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3294: @table @var
3295: @item Id
3296: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3297: @item VL
3298: $BJQ?t$N%j%9%H(B
3299: @item DVL
3300: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
3301: @item W
3302: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3303: @end table
3304:
3305: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3306: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3307: @comment --- @bullet $B$O9uE@IU$-(B ---
3308: @itemize @bullet
3309: @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
3310: @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
3311: @end itemize
3312:
3313: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
3314: @iftex
3315: @tex
3316: $ \sum_{k=a}^b {n \choose k} $
3317: @end tex
3318: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3319: @tex
3320: $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
3321: @end tex
3322: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3323: @end iftex
3324: @ifinfo
3325: \sum_{k=a}^b n_C_k
3326: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3327: I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
3328: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3329: @end ifinfo
3330: @example
3331: [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
3332: [1872] VL=[k,n]$
3333: [1873] DVL=[ek,en]$
3334: [1874] W=[1,0]$
3335: [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
3336: -- nd_weyl_gr :0.006667sec(0.004057sec)
3337: -- weyl_minipoly :0sec(0.001163sec)
3338: -- generic_bfct_and_gr :0.01sec(0.007085sec)
3339: generic bfct : [[1,1],[s,1]]
3340: S0 : 0
3341: B_{S0} length : 1
3342: -- fctr(BF) + base :0.003333sec(0.001785sec)
3343: -- restriction_ideal_internal :0sec(0.002336sec)
3344: [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
3345: @end example
3346:
1.51 nakayama 3347: @subsection @code{nk_restriction.module_restriction}
3348: @comment --- $B:w0zMQ%-!<%o!<%I(B
3349: @findex nk_restriction.module_restriction
3350:
3351: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3352: @table @t
3353: @item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W})
1.52 ! nakayama 3354: :: D $B2C72(B D^r/@var{M} (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
1.51 nakayama 3355: @end table
3356:
3357: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3358: @table @var
1.52 ! nakayama 3359: @item M
! 3360: D $B<+M32C72(B D^r $B$NItJ,2C72(B
1.51 nakayama 3361: @item VL
3362: $BJQ?t$N%j%9%H(B
3363: @item DVL
3364: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3365: @item W
3366: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3367: @end table
3368:
3369: @itemize @bullet
3370: @item
3371: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
3372: @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
3373: $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
3374: @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
3375: @item
3376: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
3377: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
3378: x $B$K$D$$$F@)8B$r9T$&(B.
3379: @end itemize
3380:
1.52 ! nakayama 3381: $B0J2<$O(B, D $B<+M32C72(B
1.51 nakayama 3382: @iftex
1.52 ! nakayama 3383: @tex $D^2$ @end tex
! 3384: $B$NItJ,2C72(B
1.51 nakayama 3385: @tex
3386: $M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$
3387: @end tex
1.52 ! nakayama 3388: $B$r$H$j(B, D $B2C72(B
! 3389: @tex $D^2 / M$ @end tex
! 3390: $B$N(B
! 3391: @tex $x$ @end tex
! 3392: @end iftex
1.51 nakayama 3393: @ifinfo
1.52 ! nakayama 3394: D^2 $B$NItJ,2C72(B M = D . @{ (dx, dy), (dy, dx), (x, y) @}
! 3395: $B$r$H$j(B, D $B2C72(B D^2 / M $B$N(B x
1.51 nakayama 3396: @end ifinfo
1.52 ! nakayama 3397: $B$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
1.51 nakayama 3398: @example
3399: [2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]);
3400: ....
3401: bfunction :
3402: s
3403: [[1,1],[s,1]]
3404: integer roots :
3405: [0,0]
3406: Generators:
3407: [e1,e2]
3408: Relations:
3409: [-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1]
3410: [[0,-1],[-dy^2,0],[y*dy-1,0]]
3411: @end example
3412: $B@)8B2C72$O(B
1.52 ! nakayama 3413: @iftex
1.51 nakayama 3414: @tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex
1.52 ! nakayama 3415: @end iftex
! 3416: @ifinfo
! 3417: (0, -1), (-dy^2, 0), (y, dy-1, 0)
! 3418: @end ifinfo
1.51 nakayama 3419: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
3420:
3421: @subsection @code{nk_restriction.module_integration}
3422: @comment --- $B:w0zMQ%-!<%o!<%I(B
3423: @findex nk_restriction.module_integration
3424:
3425: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3426: @table @t
3427: @item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W})
1.52 ! nakayama 3428: :: D $B2C72(B D^r/M (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
1.51 nakayama 3429: @end table
3430:
3431: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3432: @table @var
1.52 ! nakayama 3433: @item M
! 3434: D $B<+M32C72(B D^r $B$NItJ,2C72(B
1.51 nakayama 3435: @item VL
3436: $BJQ?t$N%j%9%H(B
3437: @item DVL
3438: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3439: @item W
3440: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3441: @end table
3442:
3443: @itemize @bullet
3444: @item
3445: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
3446: @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
3447: $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
3448: @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
3449: @item
3450: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
3451: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
3452: x $B$K$D$$$F@QJ,$r9T$&(B.
3453: @end itemize
3454:
1.52 ! nakayama 3455: $B0J2<$O(B, D $B<+M32C72(B
1.51 nakayama 3456: @iftex
1.52 ! nakayama 3457: @tex $D^2$ @end tex
! 3458: $B$NItJ,2C72(B
! 3459: @tex $M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ @end tex
! 3460: $B$r$H$j(B, D $B2C72(B
! 3461: @tex $D^2/M$ @end tex
1.51 nakayama 3462: $B$N(B
1.52 ! nakayama 3463: @tex $x$ @end tex
! 3464: @end iftex
1.51 nakayama 3465: @ifinfo
1.52 ! nakayama 3466: D^2 $B$NItJ,2C72(B M = D . @{ (x, y), (y, x), (dx, dy) @} $B$r$H$j(B,
! 3467: D $B2C72(B D^2 / M $B$N(B x
1.51 nakayama 3468: @end ifinfo
1.52 ! nakayama 3469: $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B.
1.51 nakayama 3470: @example
3471: [2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]);
3472: ...
3473: bfunction :
3474: s
3475: [[1,1],[s,1]]
3476: integer roots :
3477: [0,0]
3478: Generators:
3479: [e1,e2]
3480: Relations:
3481: [-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1]
3482: [[0,-1],[y*dy+2,0],[-y^2,0]]
3483: @end example
3484: $B@QJ,2C72$O(B
1.52 ! nakayama 3485: @iftex
1.51 nakayama 3486: @tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex
1.52 ! nakayama 3487: @end iftex
! 3488: @ifinfo
! 3489: (0, -1), (y dy + 2, 0), (-y^2, 0)
! 3490: @end ifinfo
1.51 nakayama 3491: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.44 nisiyama 3492:
1.30 takayama 3493: @noindent
3494: ChangeLog
3495: @itemize @bullet
3496: @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
1.39 nisiyama 3497: @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B.
3498: @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B
3499: $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
1.44 nisiyama 3500: @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
1.51 nakayama 3501: @item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(B.
1.30 takayama 3502: @end itemize
3503:
1.37 takayama 3504: @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
3505: @section $B$=$NB>(B($BL$J,N`(B)
3506:
3507: @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
3508: @subsection @code{tk_pfn.rkn}
3509: @findex tk_pfn.rkn
3510:
3511: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3512: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3513: @table @t
3514: @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
3515: :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
3516: @end table
3517:
3518: @table @var
3519: @item return
3520: $B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B
3521: @item F, X, Y, Xs, Ys, Ht, H
3522: @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
3523: @var{X} $B$OFHN)JQ?t%j%9%H(B.
3524: @var{Y} $B$O=>B0JQ?t%j%9%H(B.
3525: @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
3526: @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
3527: @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
3528: @var{H} $B$OHy>/?t(B.
3529: @end table
3530:
3531: @itemize @bullet
3532: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
3533: @item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B.
3534: @item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$k$3$H$,2r$,B8:_$9$kI,MW==J,>r7o$G$"$k(B. $B$3$N>r7o$,@.N)$7$J$$$H$-$K$3$N4X?t$rMQ$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B.
3535: @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
3536: @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
3537: @item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B.
3538: @item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B.
3539: @item $B;29M(B. taka_runge_kutta.rr, yang.rr
3540: @end itemize
3541:
3542: @example
3543: [1355] import("tk_pfn.rr");
3544: [1590] tk_pfn.test1();
3545: Value at (3,0.1)[8.99,6,-0.2]
3546: Value at (1,3)[-8,2,-6]
3547: [[[1,3],-8,2,-6],
3548: [[1,2.9],-7.41,2,-5.8],
3549: --- snip ---
3550: [[3,0.1],8.99,6,-0.2]]
3551: @end example
3552:
3553:
3554: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3555: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3556: @noindent
3557: ChangeLog
3558: @itemize @bullet
3559: @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
3560: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
3561: @item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B.
3562: @end itemize
1.29 nakayama 3563:
1.40 takayama 3564:
3565: @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
3566: @subsection @code{tk_pfn.graph}
3567: @findex tk_pfn.graph
3568:
3569: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3570: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3571: @table @t
3572: @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
3573: :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
3574: @end table
3575:
3576: @table @var
3577: @item return
1.41 takayama 3578: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3579: [x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B
3580: y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
1.40 takayama 3581: @item Pf, Dom, Iv, Step
3582: @var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. $BFHN)JQ?t$O(B x, y $B$G8GDj(B.
3583: @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
3584: @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
3585: @var{Step} $B9o$_I}(B.
3586: @end table
3587:
3588: @itemize @bullet
3589: @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3590: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B.
3591: @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
3592: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.testgraph1()}, @code{tk_pfn.testgraph2()} $B$r;2>H(B.
3593: @item option $B$H$7$F$O(B fit=1 $B$,$"$k(B. Z$B<4$rE,59D4@0$9$k(B.
1.41 takayama 3594: @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
1.40 takayama 3595: @end itemize
3596:
3597: @example
3598: [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
1.41 takayama 3599: [1590] tk_pfn.testgraph1();
1.40 takayama 3600:
3601: $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
3602: def testgraph1() {
3603: /* tk_bess2.bess2pf(1/2); */
3604: Pf= [[[ 0, (1)/(x), 0 ],
3605: [ -x, (2*x^2+1)/(x), -2*x ],
3606: [ -y, 0, 0 ]],
3607: [[ 0, 0, (1)/(y) ],
3608: [ -x, 0, 0 ],
3609: [ -x, (1/2)/(x), (-1/2)/(y) ]]];
3610: /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
3611: Iv = [0.105994,-0.651603,-0.760628];
3612: Dom=[[0.5,1.5],[1.5,9]];
3613: Step = 0.5;
1.41 takayama 3614: return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
1.40 takayama 3615: }
3616:
3617:
3618: @end example
3619:
3620:
3621: @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
3622: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3623: @noindent
3624: ChangeLog
3625: @itemize @bullet
3626: @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
3627: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
3628: @end itemize
3629:
1.41 takayama 3630: @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
3631: @subsection @code{tk_rk.runge_kutta_4}
3632: @findex tk_rk.runge_kutta_4
3633:
3634: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3635: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3636: @table @t
3637: @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3638: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
3639: @end table
3640:
3641: @table @var
3642: @item return
3643: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3644: @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
3645: @item Eq, X, Y, Step
3646: @var{Eq} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$G$"$k(B.
3647: @var{X} $BFHN)JQ?tL>(B.
3648: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
3649: @var{Step} $B9o$_I}(B.
3650: @item X0, Y0, Terminal
3651: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3652: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3653: @var{Terminal} @var{X} $B$N=*CeE@(B.
3654: @end table
3655:
3656: @itemize @bullet
3657: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3658: @item $B$3$N4X?t$OO"N)>oHyJ,J}Dx<0(B Y[0]'=Eq[0], Y[1]'=Eq[1], ... $B$r?tCME*$K2r$/(B.
3659: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
3660: @code{tk_rk.test4()} $B$r;2>H(B.
3661: @end itemize
3662:
3663: @example
3664: [1355] import("taka_runge_kutta.rr");
3665: [1590] tk_rk.test4();
3666:
3667: $B$3$3$G(B test4() $B$O0J2<$N$H$*$j(B. $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x)
3668: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3669:
3670: def test4() {
3671: A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
3672: taka_plot_auto(A);
3673: return(A);
3674: }
3675:
3676: @end example
3677:
3678:
3679: @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
3680: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3681: @noindent
3682: ChangeLog
3683: @itemize @bullet
3684: @item $B$3$N4X?t$O(B 2000 $BG/Be$NA0H>$K:G=i$NHG$,=q$+$l$?(B. 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:FEY@0Hw(B
3685: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3686: @end itemize
3687:
3688: @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
3689: @subsection @code{tk_rk.runge_kutta_4_linear}
3690: @findex tk_rk.runge_kutta_4_linear
3691:
3692: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3693: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3694: @table @t
3695: @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3696: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
3697: @end table
3698:
3699: @table @var
3700: @item return
3701: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [@var{X}$B$NCM(B,Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3702: @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
3703: @item P, X, Y, Step
3704: @var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B.
3705: @var{X} $BFHN)JQ?tL>(B.
3706: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B.
3707: @var{Step} $B9o$_I}(B.
3708: @item X0, Y0, Terminal
3709: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3710: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3711: @var{Terminal} @var{X} $B$N=*CeE@(B.
3712: @end table
3713:
3714: @itemize @bullet
3715: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3716: @end itemize
3717:
3718: @example
3719: [1355] import("taka_runge_kutta.rr");
3720: [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
3721: [1591] taka_plot_auto(A);
3722:
3723: $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
3724: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3725:
3726: @end example
3727:
3728:
3729: @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
3730: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3731: @noindent
3732: ChangeLog
3733: @itemize @bullet
3734: @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
3735: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3736: @end itemize
3737:
1.40 takayama 3738:
3739:
1.38 takayama 3740: @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B
3741: @subsection @code{fj_simp.simplify}
3742: @findex fj_simp.simplify
3743:
3744: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3745: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3746: @table @t
3747: @item fj_simp.simplify(@var{arg1})
3748: :: arg1 $B$r4JC12=$9$k(B.
3749: @end table
3750:
3751: @table @var
3752: @item return
3753: $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
3754: @item arg1
3755: $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
3756: @end table
3757:
3758: @itemize @bullet
3759: @item
3760: $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.
3761: @item
3762: $B$3$N4X?t$O(B
3763: Joel S. Cohen, Computer Algebra and Symbolic Computation,
3764: http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
3765: $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
3766: B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
3767: $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3768: @item
3769: $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
3770: $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
3771: @end itemize
3772:
3773: @example
3774: load("fj_simplify.rr");
3775: [1434] simplify((x^(1/2))^3);
3776: ((x)^(3/2))
3777: [1435] simplify((2^(1/2))^2);
3778: 2
3779: [1436] simplify((2+2^(1/2))^3);
3780: 14*((2)^(1/2))+20
3781: [1437] simplify(exp(x)*exp(-x+y));
3782: ((@@e)^(y))
3783: @end example
3784:
3785: @table @t
3786: @item $B;2>H(B
3787: @ref{quote}
3788: @end table
3789:
3790: @noindent
3791: ChangeLog
3792: @itemize @bullet
3793: @item
3794: $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.
3795: poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.
3796: @item
3797: Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
3798: @item
3799: $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
3800: OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
3801: @end itemize
3802:
1.46 takayama 3803: @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
3804: @subsection @code{tk_jack.zonal}
3805: @findex tk_jack.zonal
3806:
3807: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3808: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3809: @table @t
3810: @item tk_jack.zonel(@var{p},@var{n})
3811: :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
3812: @end table
3813:
3814: @table @var
3815: @item return
3816: $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
3817: @item p
3818: $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
3819: @item n
3820: $B<+A3?t(B
3821: @end table
3822:
3823: @itemize @bullet
3824: @item
3825: $B$3$N4X?t$O(B
3826: Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
3827: $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3828: $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
3829: @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
3830: @end itemize
3831:
3832: @example
3833: load("tk_jack.rr");
3834: [1434] tk_jack.zonal([3,2,1],3);
3835: (112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1
3836: [1435] tk_jack.zonal([1,1],3);
3837: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3838: [1436] tk_jack.jack([1,1],3,2);
3839: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3840: @end example
3841:
3842: @table @t
3843: @item $B;2>H(B
3844: @end table
3845:
3846: @noindent
3847: ChangeLog
3848: @itemize @bullet
3849: @item
3850: $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
3851: holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
3852: $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
3853: @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
3854: @end itemize
3855:
1.49 takayama 3856: @node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B
3857: @subsection @code{ot_hgm_ahg.cbase}
3858: @findex ot_hgm_ahg.cbase
3859:
3860: @table @t
3861: @item cbase(@var{A})
3862: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B.
3863: @end table
3864:
3865: @table @var
3866: @item return
3867: Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B
3868: @item A
3869: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
3870: @end table
3871:
3872: @itemize @bullet
3873: @item A-$BD64v2?%$%G%"%k$N(B Q(x)[dx] $B$K$*$1$kI8=`4pDl$O(B Pfaffian $B$N4pDl$H$J$k$,(B, $B5U$O$+$J$i$:$7$b??$G$O$J$$(B. $B8D?t$O$b$A$m$sF1$8$G$"$k(B.
3874: @item
3875: $B%"%k%4%j%:%`$O(B
3876: T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103
3877: $B$K$h$k(B.
3878: $B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B.
3879: @end itemize
3880:
3881: @example
3882: [2190] import("ot_hgm_ahg.rr");
3883: 1
3884: [2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]);
3885: We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2]
3886:
3887: [dx3,dx4,1]
3888: @end example
3889:
3890: @table @t
3891: @item $B;2>H(B
3892: @ref{get_mat2}
3893: @end table
3894:
3895: @noindent
3896: ChangeLog
3897: @itemize @bullet
3898: @item
3899: $B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
3900: @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
3901: @end itemize
3902:
3903: @node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B
3904: @subsection @code{ot_hgm_ahg.get_mat2}
3905: @findex ot_hgm_ahg.get_mat2
3906: @comment get_mat2
3907: @table @t
3908: @item get_mat2(@var{A},@var{W},@var{Std},@var{Mset})
3909: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B.
3910: @end table
3911:
3912: @table @var
3913: @item return
3914: $B%j%9%H(B
3915: @item A
3916: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
3917: @item W
3918: $B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector.
3919: $BB?J,$J$s$G$b$$$$$O$:(B.
3920: @item Std
3921: $B%j%9%H(B. Pfaffian $B$N4pDl(B. cbase(A) $B$N=PNO$rMQ$$$k(B.
3922: @item Mset
3923: Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
3924: @end table
3925:
3926: @itemize @bullet
3927: @item $B=PNO$r(B @var{P} $B$KBeF~$9$k$H(B,
3928: @var{P}[0]*@var{P}[2] - @var{P}[1]*@var{Std} $B$,(B modulo H_A $B$G(B 0 $B$H$J$k(B.
3929: @var{P}[0] $B$H(B @var{P}[2] $B$r7k9g$7$?9TNs$,(B, sylvester $B9TNs(B ($BO@J8$N5-9f$G$N(B F').
3930: @var{P}[2], @var{Std} $B$,(B index $B%b%N%_%"%k$G$"$k(B.
3931: $BO@J8$G$N5-9f$G$O(B @var{P}[2] $B$O(B M_t, @var{Std} $B$O(B S.
3932: @item
3933: $B%"%k%4%j%:%`$O(B
3934: K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
3935: $B$K$h$k(B. $BO@J8$N9TNs(B F'.
3936: @end itemize
3937:
3938: @example
3939: [2190] import("ot_hgm_ahg.rr");
3940: 1
3941: [2191] A=[[1,1,1,1],[0,1,2,3]]$
3942: Std=ot_hgm_ahg.cbase(A)$
3943: W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$
3944: Mset=[1,dx1,dx2,dx3,dx4]$
3945: [2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset);
3946:
3947: $B>JN,(B
3948: @end example
3949:
3950: @table @t
3951: @item $B;2>H(B
3952: @ref{cbase}
3953: @end table
3954:
3955: @noindent
3956: ChangeLog
3957: @itemize @bullet
3958: @item
3959: $B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
3960: @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
3961: @item
3962: $B%=!<%9(B ot_hgm_ahg.rr $B$N(B test3(), test3b(), test4(), test5(), test6(), test6c() $BEy$KMxMQNc$,$"$k(B.
3963: @item
3964: test3b() $B$G(B @var{Mset} $B$r0l<!<0A4It$K$7$?$b$N$,(B, $BO@J8$NNc(B.
3965: @end itemize
3966:
3967: @comment -------------------
3968: @comment hgm_ahg_contiguity
3969: @comment -------------------
3970: @node ot_hgm_ahg.hgm_ahg_contiguity,,, $B<B83E*;EMM$N4X?t(B
3971: @subsection @code{ot_hgm_ahg.hgm_ahg_contiguity}
3972: @findex ot_hgm_ahg.hgm_ahg_contiguity
3973:
3974: @table @t
3975: @item hgm_ahg_contiguity(@var{A},@var{StdMon},@var{Line},@var{X0},@var{InitVal},@var{Start},@var{End})
3976: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(Bcontiguity relation
3977: $B$r(B Sylvester matrix $B$rMQ$$$F7W;;$7(B, $B$=$l$rMQ$$$FD64v2?4X?t$NCM$r5a$a$k(B.
3978: @end table
3979:
3980: @table @var
3981: @item return
3982: $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$NCM(B F(End;X0) ??
3983: @item A
3984: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B.
3985: @item StdMon
3986: $B%j%9%H(B. Pfaffian $B$N4pDl$rM?$($kHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
3987: @item Line
3988: $B%j%9%H(B [ContiDir,Beta,Z].
3989: @item X0
3990: $B%j%9%H(B. x $BJQ?t$NCM(B.
3991: @item InitVal
3992: $B%j%9%H(B. $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$N=i4|CM(B F(Start;X0)
3993: @item Start
3994: $B%j%9%H(B. Z $B%Q%i%a!<%?$N=i4|CM(B??
3995: @item End
3996: $B%j%9%H(B. Z $B%Q%i%a!<%?$N=*C<CM(B??
3997: @end table
3998:
3999: @itemize @bullet
4000: @item Todo, $B$3$N4X?t$N%$%s%?%U%'!<%9$OJQ99$5$l$kM=Dj(B.
4001: @item X0 $B$OM-M}?t$N%j%9%H(B.
4002: @item ContiDir $B$O(B End-Start $B$HF1$8J}8~(B.
4003: @item Beta. A$BD64v2?4X?t$N(B B $B%Q%i%a!<%?$N=i4|CM(B ??
4004: @item Z. ContiDir $B$G$N0l<!85(B contiguity $B$rI=8=$9$k$?$a$NITDj85$NL>A0(B.
4005: @item $B%=!<%9Cf$NMxMQNc(B. test_fd_conti(), test_c111_conti()
4006: @item
4007: $B%"%k%4%j%:%`$*$h$SMxE@$O(B
4008: K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
4009: $B;2>H(B.
4010: @end itemize
4011:
4012: @example
4013: [2190] import("ot_hgm_ahg.rr");
4014: 1
4015: [2191] ot_hgm_ahg.test_fd_conti();
4016: (Todo, $B0z?t$,$I$&$J$k$+$NNc$r2C$($k(B.)
4017: @end example
4018:
4019: @table @t
4020: @item $B;2>H(B
4021: @ref{get_mat2}
4022: @ref{hgm_ahg_expected_value_contiguity}
4023: @ref{hgm_ahg}
4024: @end table
4025:
4026: @noindent
4027: ChangeLog
4028: @itemize @bullet
4029: @item
4030: $B$3$N4X?t$O(B 2014-07-11 $B$K:G=i$NHG$,(B 1.10$BHG(B ot_hgm_ahg.rr $B$K(B commit $B$5$l$?(B.
4031: @item $B%$%s%?%U%'!<%9$,99?7$5$l$?HG$O(B, 1.??$BHG(B.
4032: @end itemize
4033:
4034: @comment -------------------
4035: @comment tk_hgpoly.optip
4036: @comment -------------------
4037: @node tk_hgpoly.optip,,, $B<B83E*;EMM$N4X?t(B
4038: @subsection @code{tk_hgpoly.optip}
4039: @findex tk_hgpoly.optip
4040:
4041: @table @t
4042: @item hgpoly.optip(@var{A},@var{B},@var{W})
4043: :: $B@0?t7W2hLdBj$r%0%l%V%J!<4pDl$rMQ$$$F2r$/(B.
4044: @end table
4045:
4046: @table @var
4047: @item return
4048: $B%j%9%H(B.
4049: @item A
4050: $BHsIi@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
4051: @item B
4052: $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
4053: @item W
4054: $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
4055: @end table
4056:
4057: @itemize @bullet
4058: @item @var{A} U = @var{B} $B$rK~$?$9HsIi$N@0?t%Y%/%H%k(B U $B$NCf$G(B,
4059: $BFb@Q(B @var{W} U $B$r:G>.2=$9$k(B U $B$rLa$9(B.
4060: @end itemize
4061:
4062: @example
4063: [0] import("tk_hgpoly.rr");
4064: [2191] tk_hgpoly.optip([[1,1,1,1],[0,1,2,3]],[20,40],[1,1,1,0]);
4065: [6,1,0,13]
4066: @end example
4067:
4068: @table @t
4069: @item $B;2>H(B
4070: @ref{feasible}
4071: @end table
4072:
4073: @noindent
4074: ChangeLog
4075: @itemize @bullet
4076: @item
4077: $B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B.
4078: $B85HG$O(B h-mle/A-hg/Prog
4079: @end itemize
4080:
4081: @comment -------------------
4082: @comment tk_hgpoly.hgpoly
4083: @comment -------------------
4084: @node tk_hgpoly.hgpoly,,, $B<B83E*;EMM$N4X?t(B
4085: @subsection @code{tk_hgpoly.hgpoly}
4086: @findex tk_hgpoly.hgpoly
4087: @table @t
4088: @item hgpoly.hgpoly(@var{A},@var{B})
4089: :: @var{A}, @var{B} $B$GDj5A$5$l$kD64v2?B?9`<0$r7W;;$9$k(B.
4090: @end table
4091:
4092: @table @var
4093: @item return
4094: $B%j%9%H(B.
4095: @item A
4096: $BHsIi@0?t(B(todo, $B:FEY3NG'(B)$B$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
4097: @item B
4098: $BHsIi@0?t$r@.J,$H$9$k%j%9%H(B.
4099: @end table
4100:
4101: @itemize @bullet
4102: @item $BLa$jCM$r(B F $B$H$9$k$H$-(B, F[0] $B$,D64v2?B?9`<0(B. $BJQ?t$O(B x_1, x_2, ...
4103: F[1] $B$O(B F[0] $B$NJ,;6I=8=B?9`<0(B.
4104: @end itemize
4105:
4106: @example
4107: [0] import("tk_hgpoly.rr");
4108: [2191] tk_hgpoly.hgpoly([[1,1,1,1],[0,1,2,3]],[2,2]);
4109: [x_3*x_1+1/2*x_2^2,(1/2)*<<0,2,0,0>>+(1)*<<1,0,1,0>>]
4110: @end example
4111:
4112:
4113: @noindent
4114: ChangeLog
4115: @itemize @bullet
4116: @item
4117: $B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B.
4118: @end itemize
4119:
4120: @comment -------------------
4121: @comment tk_fd.abc2ahg
4122: @comment -------------------
4123: @node tk_fd.abc2ahg,,, $B<B83E*;EMM$N4X?t(B
4124: @subsection @code{tk_fd.abc2ahg}
4125: @findex tk_fd.abc2ahg
4126: @table @t
4127: @item tk_fd.abc2ahg(@var{A},@var{B},@var{C})
4128: :: F_D(@var{A}, @var{B},@var{C}) $B$r2r$K$b$D(B A-$BD64v2?J}Dx<07O$r5a$a$k(B.
4129: @end table
4130:
4131: @table @var
4132: @item return
4133: $B%j%9%H(B.
4134: @item A
4135: $B?t(B
4136: @item B
4137: $B?t$N%j%9%H(B
4138: @item C
4139: $B?t(B
4140: @end table
4141:
4142: @itemize @bullet
4143: @item $BLa$jCM%j%9%H$NBh#0@.J,$O(B A-$BD64v2?J}Dx<07O$rDj5A$9$k9TNs(B.
4144: $BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B.
4145: @end itemize
4146:
4147: @example
4148: [2191] tk_fd.abc2ahg(-3,[-4,-5],3);
4149:
4150: [[[0,0,0,1,1,1],[1,0,0,1,0,0],[0,1,0,0,1,0],[0,0,1,0,0,1]],[11,5,4,5]]
4151: @end example
4152:
4153: @table @t
4154: @item $B;2>H(B
4155: @ref{abc2marginal}
4156: @ref{marginal2abc}
4157: @end table
4158:
4159: @noindent
4160: ChangeLog
4161: @itemize @bullet
4162: @item
4163: $B$3$N4X?t$O(B 2014-12-13 $B$K(B tk_fd.rr $B$KDI2C$5$l$?(B.
4164: @end itemize
4165:
4166: @comment -------------------
4167: @comment tk_fd.ahvec_abc
4168: @comment -------------------
4169: @node tk_fd.ahvec_abc,,, $B<B83E*;EMM$N4X?t(B
4170: @subsection @code{tk_fd.ahvec_abc}
4171: @findex tk_fd.ahvec_abc
4172: @table @t
4173: @item tk_fd.ahvec_abc(@var{A},@var{B},@var{C},@var{Y} | all=1)
4174: :: abc2marginal(@var{A}, @var{B},@var{C}) $B$r<~JUOB$K$b$D(B (2,m+1) $BJ,3dI=A4BN$K$D$$$F$N@55,2=Dj?t(B Z, $B$*$h$S(B Z $B$NJQ?t(B Y[1][0], ..., Y[1][m]
4175: (2$BHVL\$N9T(B)$B$K$D$$$F$NJPHyJ,$r7W;;$9$k(B.
4176: @end table
4177:
4178: @table @var
4179: @item return
4180: $B%j%9%H(B @var{Ans}
4181: @item A
4182: $B?t(B
4183: @item B
4184: $B?t$N%j%9%H(B. $BD9$5$O(B m.
4185: @item C
4186: $B?t(B
4187: @item Y
4188: (2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B.
4189: @end table
4190:
4191: @itemize @bullet
4192: @item
4193: @var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B.
4194: @var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B.
4195: @item
4196: @var{Ans}[2]*@var{Ans}[1] $B$,(B Z.
4197: @var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$F$NJPHyJ,(B.
4198: @item
4199: $BO@J8(B
4200: 1.Y.Goto, Contiguity relations of Lauricella's F_D revisited, arxiv:1412.3256
4201: $B$GF3=P$5$l$F$$$k(B
4202: contiguity relation $B$rMQ$$$F7W;;$9$k(B.
4203: @end itemize
4204:
4205: @example
4206: [2449] marginal2abc([3,12],[6,3,3,3]);
4207: [-3,[-3,-3,-3],4]
4208:
4209: [2450] tk_fd.ahvec_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
4210: [[ 24041/1152 143551/11520 16973/1280 78827/5760 ],1/7776]
4211:
4212: [2451] expectation_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
4213: [721230/173593,430653/173593,458271/173593,67566/24799]
4214: @end example
4215:
4216: @table @t
4217: @item $B;2>H(B
4218: @ref{expectation_abc}
4219: @end table
4220:
4221: @noindent
4222: ChangeLog
4223: @itemize @bullet
4224: @item
4225: $B$3$N4X?t$O(B 2014-$B2F$K3+H/$5$l$?(B.
4226: @end itemize
4227:
4228:
1.50 takayama 4229: @node pari,,, $B<B83E*;EMM$N4X?t(B
4230: @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
4231: @findex pari
4232: @findex setbprec
4233: @findex setround
4234: @findex todouble
4235: @findex mpfr_gamma
4236: @findex mpfr_floor
4237: @findex mpfr_round
4238:
4239: @comment --- $B4X?t$N4JC1$J@bL@(B ---
4240: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
4241: @table @t
4242: @item pari(@var{arg1},@var{arg2},...)
4243: :: MPFR $B$G(B pari $B$N4X?t$r(B emulate $B$9$k$+(B ox_pari $B%5!<%P!<$r8F$S=P$9(B.
4244: @itemx setbprec(@var{arg1})
4245: @itemx setround(@var{arg1})
4246: $B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B.
4247: @itemx todouble(@var{arg1})
4248: :: bigfloat $B7?$r(B double $B$KJQ49$9$k(B.
4249: @itemx mpfr_gamma(@var{arg1})
4250: :: gamma $B4X?t$N7W;;(B.
4251: @itemx mpfr_floor(@var{arg1})
4252: :: floor $B$N7W;;(B.
4253: @itemx mpfr_round(@var{arg1})
4254: :: $B4]$a$N7W;;(B.
4255: @end table
4256:
4257: @table @var
4258: @item return
4259: $B8e=R(B.
4260: @item arg1, arg2
4261: $B8e=R(B.
4262: @end table
4263:
4264: @itemize @bullet
4265: @item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B.
4266: Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B.
4267: $B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B.
4268: @item
4269: pari(floor,@var{arg1}),
4270: pari(round,@var{arg1}),
4271: pari(gamma,@var{arg1})
4272: $B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B.
4273: $BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B.
4274: pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B,
4275: $B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B.
4276: Todo, ox_pari $B$r;XDj$7$F8F$S=P$9J}K!(B.
4277: @end itemize
4278:
4279: @example
4280: [219] ctrl("bigfloat",1)$
4281: [220] setprec(100)$
4282: [221] pari(floor,1111111111111.1+1/10);
4283: 1111111111111
4284: @end example
4285:
4286: @table @t
4287: @item $B;2>H(B
4288: @ref{pari}
4289: @end table
4290:
4291: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
4292: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
4293: @noindent
4294: ChangeLog
4295: @itemize @bullet
4296: @item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B.
4297: $B$^$@:n6HCf(B. Todo, asirgui $B$X$NBP1~(B. debug, ...
4298: @item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c,
4299: asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B.
4300: @end itemize
4301:
1.19 takayama 4302: @comment ****************************************************************
1.34 ohara 4303: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 4304: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.34 ohara 4305: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1.4 takayama 4306: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
4307: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
4308: @subsection @code{xyz_pqr}, @code{syz_stu}
4309: @findex xyz_pqr
4310: @findex xyz_stu
4311:
1.3 takayama 4312: @comment --- $B4X?t$N4JC1$J@bL@(B ---
4313: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
4314: @table @t
1.1 takayama 4315: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
4316: @itemx xyz_stu(@var{arg1},@var{arg2})
4317: :: xyz $B$K4X$9$kA`:n(B.
4318: @end table
4319:
4320: @table @var
4321: @item return
4322: $B@0?t(B
4323: @item arg1, arg2
4324: $B@0?t(B
4325: @item flag
4326: 0 $B$^$?$O(B 1
4327: @end table
4328:
4329: @itemize @bullet
1.3 takayama 4330: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 4331: @item
4332: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
4333: @item
4334: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
4335: @item
4336: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
4337: @end itemize
4338:
4339: @example
4340: [219] xyz_pqr(1,2);
4341: 3
4342: [220] xyz_pqr(1,2,1);
4343: 3
4344: 0
4345: [221] xyz_stu(1,2);
4346: 3
4347: @end example
4348:
4349: @table @t
4350: @item $B;2>H(B
4351: @ref{xyz_abc}
4352: @end table
4353:
1.3 takayama 4354: @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
4355: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 4356: @noindent
4357: ChangeLog
4358: @itemize @bullet
4359: @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
4360: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
4361: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
4362: @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
4363: @end itemize
4364:
4365: @comment --- $B$*$^$8$J$$(B ---
4366: @node Index,,, Top
4367: @unnumbered Index
4368: @printindex fn
4369: @printindex cp
4370: @iftex
4371: @vfill @eject
4372: @end iftex
4373: @summarycontents
4374: @contents
4375: @bye
4376: @comment --- $B$*$^$8$J$$=*$j(B ---
FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>
![[BACK]](/icons/cvsweb/back.gif){kind=icon}
Return to exp-ja.texi CVS log ![[TXT]](/icons/cvsweb/text.gif){kind=icon}
![[DIR]](/icons/cvsweb/dir.gif){kind=icon}
Up to [local] / OpenXM / src / asir-doc / exp