Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.47
1.47 ! takayama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.46 2012/09/18 11:41:18 takayama Exp $
1.1 takayama 2: \input texinfo
3: @iftex
4: @catcode`@#=6
5: @def@fref#1{@xrefX[#1,,@code{#1},,,]}
6: @def@b#1{{@bf@gt #1}}
7: @catcode`@#=@other
8: @end iftex
9: @overfullrule=0pt
10: @c -*-texinfo-*-
11: @comment %**start of header
12: @comment --- $B$*$^$8$J$$=*$j(B ---
13:
14: @comment --- GNU info $B%U%!%$%k$NL>A0(B ---
15: @setfilename xyzman
16:
17: @comment --- $B%?%$%H%k(B ---
18: @settitle $B<B83E*;EMM$N4X?t(B
19:
20: @comment %**end of header
21: @comment %@setchapternewpage odd
22:
23: @comment --- $B$*$^$8$J$$(B ---
24: @ifinfo
25: @macro fref{name}
26: @ref{\name\,,@code{\name\}}
27: @end macro
28: @end ifinfo
29:
30: @iftex
31: @comment @finalout
32: @end iftex
33:
34: @titlepage
35: @comment --- $B$*$^$8$J$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.47 ! takayama 41: @subtitle 2013 $BG/(B 2 $B7n(B
1.1 takayama 42:
1.16 ohara 43: @author by Risa/Asir committers
1.1 takayama 44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
1.37 takayama 47: 2004--2010. All rights reserved.
1.1 takayama 48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(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$$$k(B.
1932: @item
1933: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
1934: 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
1935: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
1936: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
1.23 takayama 1937: @end itemize
1938:
1939:
1.34 ohara 1940: @node asirgui.hnd,,, $B%7%9%F%`(B
1941: @subsection @code{asirgui.hnd}
1942: @findex asirgui.hnd
1.23 takayama 1943:
1944: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1945: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1946: @table @t
1.34 ohara 1947: @item asirguid.hnd
1948: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
1.23 takayama 1949: @end table
1950:
1.34 ohara 1951: @comment ****************************************************************
1.23 takayama 1952:
1953: @itemize @bullet
1.34 ohara 1954: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B asirgui.exe $B$N$"$k%U%)%k%@$*$h$S(B $B4D6-JQ?t(B TEMP $B$,Dj5A$5$l$F$$$l$P$3$N%U%!%$%k$,:n@.$5$l$k(B.
1.35 takayama 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.
2029: @item
2030: $B$3$l$i$N4X?t$O(B UNIX $BHG$K$N$_<BAu$5$l$F$$$k(B.
1.23 takayama 2031: @end itemize
2032:
2033: @example
1.34 ohara 2034: [0] S=pwd();
2035: /home/ohara
2036: [1] chdir(".../taka");
2037: -1
2038: [2] chdir("/usr/bin");
2039: 0
1.23 takayama 2040: @end example
2041:
2042: @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
2043: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2044: @noindent
2045: ChangeLog
2046: @itemize @bullet
1.34 ohara 2047: @item
2048: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
2049: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
1.23 takayama 2050: @end itemize
2051:
2052:
1.34 ohara 2053: @node dcurrenttime,,, $B%7%9%F%`(B
2054: @subsection @code{dcurrenttime}
2055: @findex dcurrenttime
1.23 takayama 2056:
1.34 ohara 2057: @comment --- $B8=:_;~9o$r<hF@(B ---
1.23 takayama 2058: @table @t
1.34 ohara 2059: @item dcurrenttime()
2060: :: $B8=:_;~9o$r<hF@(B.
1.23 takayama 2061: @end table
2062:
1.34 ohara 2063: @table @var
2064: @item return
2065: $BIbF0>.?tE@?t(B
2066: @end table
1.23 takayama 2067:
2068: @itemize @bullet
1.34 ohara 2069: @item
2070: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
1.23 takayama 2071: @end itemize
2072:
2073: @example
1.34 ohara 2074: [0] ctrl("real_digit", 16);
2075: 16
2076: [1] dcurrenttime();
2077: 1226390851.34476
2078: [2] currenttime();
2079: 1226390854
1.23 takayama 2080: @end example
2081:
2082: @table @t
2083: @item $B;2>H(B
1.34 ohara 2084: @ref{currenttime}
1.23 takayama 2085: @end table
2086:
2087: @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
2088: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2089: @noindent
2090: ChangeLog
2091: @itemize @bullet
1.34 ohara 2092: @item
2093: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
2094: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
1.23 takayama 2095: @end itemize
2096:
2097:
1.47 ! takayama 2098: @node getpid,,, $B%7%9%F%`(B
! 2099: @subsection @code{getpid}
! 2100: @findex getpid
! 2101:
! 2102: @comment --- $B4X?t$N4JC1$J@bL@(B ---
! 2103: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
! 2104: @table @t
! 2105: @item getpid()
! 2106: @end table
! 2107:
! 2108: @table @var
! 2109: @item return
! 2110: $B@0?t(B
! 2111: @end table
! 2112:
! 2113: @itemize @bullet
! 2114: @item asir $B$N%W%m%;%9HV9f$rLa$9(B.
! 2115: @item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U=P$"$k(B.
! 2116: @end itemize
! 2117:
! 2118: @example
! 2119: [219] getpid()
! 2120: 3214
! 2121: @end example
! 2122:
! 2123:
! 2124: @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
! 2125: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
! 2126: @noindent
! 2127: ChangeLog
! 2128: @itemize @bullet
! 2129: @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.
! 2130: src/asir-contrib/packages/src/misc/rr 1.3,
! 2131: asir2000/builtin/file.c 1.28, rat.c 1.5,
! 2132: asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
! 2133: @end itemize
! 2134:
! 2135:
1.34 ohara 2136: @comment ****************************************************************
2137:
2138:
2139: @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
2140: @section $B8@8l(B
2141:
2142: @node get_struct_name,,, $B8@8l(B
2143: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
2144: @findex get_struct_name
2145: @findex get_element_names
2146: @findex get_element_at
2147: @findex put_element_at
1.23 takayama 2148:
2149: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2150: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2151: @table @t
1.34 ohara 2152: @item get_struct_name(@var{s})
2153: @itemx get_element_names(@var{s})
2154: @itemx get_element_at(@var{s},@var{key})
2155: @itemx put_element_at(@var{s},@var{key},@var{obj})
2156: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
1.23 takayama 2157: @end table
2158:
2159: @table @var
2160: @item return
1.34 ohara 2161: $BJ8;zNs(B (get_struct_name),
2162: $BJ8;zNs$N%j%9%H(B (get_element_names),
2163: $B%*%V%8%'%/%H(B (get_element_at),
2164: $B%*%V%8%'%/%H(B (put_element_at)
2165: @item s
2166: $B9=B$BN(B
2167: @item key
2168: $BJ8;zNs(B
2169: @item obj
2170: $B%*%V%8%'%/%H(B
1.23 takayama 2171: @end table
2172:
2173: @itemize @bullet
1.34 ohara 2174: @item
2175: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
2176: @item
2177: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
2178: @item
2179: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
2180: @item
2181: @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 2182: @end itemize
2183:
2184: @example
1.34 ohara 2185: [219] struct point @{ x, y, color@};
2186: [220] P = newstruct(point);
2187: @{0,0,0@}
2188: [221] P->x = 10$ P->y=5$ P->color="red"$
2189: [222] get_element_names(P);
2190: [x,y,color]
2191: [223] put_element_at(P,"color","blue");
2192: blue
2193: [224] P->color;
2194: bule
1.23 takayama 2195: @end example
2196:
2197: @table @t
2198: @item $B;2>H(B
1.34 ohara 2199: @ref{newstruct}, @ref{struct}
1.23 takayama 2200: @end table
2201:
2202: @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
2203: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2204: @noindent
2205: ChangeLog
2206: @itemize @bullet
1.34 ohara 2207: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
2208: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
2209: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
1.23 takayama 2210: @end itemize
2211:
2212:
1.34 ohara 2213: @comment mapat
2214: @node mapat,,, $B8@8l(B
2215: @subsection @code{mapat}
2216: @findex mapat
1.23 takayama 2217:
2218: @table @t
1.34 ohara 2219: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
2220: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
1.23 takayama 2221: @end table
2222:
2223: @table @var
2224: @item return
1.34 ohara 2225: $B%*%V%8%'%/%H(B
2226: @item pos
2227: $B@0?t(B
2228: @item arg0, arg1, arg2, ...
2229: $B%*%V%8%'%/%H(B
1.23 takayama 2230: @end table
2231:
2232: @itemize @bullet
1.34 ohara 2233: @item
2234: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
2235: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
2236: @item
2237: @code{mapat(fname,0,A0,A1,...)} $B$O(B
2238: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
2239: @item
2240: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
1.23 takayama 2241: @end itemize
2242:
2243: @example
1.34 ohara 2244: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
2245: [2,3]
2246: [220] mapat(subst,1,x+y+z,[x,y,z],2);
2247: [y+z+2,x+z+2,x+y+2]
1.23 takayama 2248: @end example
2249:
2250: @table @t
2251: @item $B;2>H(B
1.34 ohara 2252: @ref{map}
1.23 takayama 2253: @end table
2254:
2255: @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
2256: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2257: @noindent
2258: ChangeLog
2259: @itemize @bullet
1.34 ohara 2260: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2261: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
1.23 takayama 2262: @end itemize
2263:
1.34 ohara 2264: @comment list
2265: @node list,,, $B8@8l(B
2266: @subsection @code{list}
2267: @findex list
1.23 takayama 2268:
2269: @table @t
1.34 ohara 2270: @item list([@var{arg0}, @var{arg1}, ...])
2271: :: list $B$r@8@.$9$k(B.
1.23 takayama 2272: @end table
2273:
2274: @table @var
2275: @item return
2276: $B%j%9%H(B
1.34 ohara 2277: @item arg0, arg1, arg2, ...
2278: $B%*%V%8%'%/%H(B
1.23 takayama 2279: @end table
2280:
1.34 ohara 2281: @itemize @bullet
2282: @item
2283: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
1.23 takayama 2284: @end itemize
2285:
2286: @example
1.34 ohara 2287: [219] list(1,2,3);
2288: [1,2,3]
2289: [220] list(1,2,[3,4]);
2290: [1,2,[3,4]]
1.23 takayama 2291: @end example
2292:
2293: @table @t
2294: @item $B;2>H(B
1.34 ohara 2295: @ref{cons}
1.23 takayama 2296: @end table
2297:
2298: @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
2299: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2300: @noindent
2301: ChangeLog
2302: @itemize @bullet
1.34 ohara 2303: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2304: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1.23 takayama 2305: @end itemize
2306:
2307:
1.34 ohara 2308: @node assoc,,, $B8@8l(B
2309: @subsection @code{assoc}
2310: @findex assoc
1.23 takayama 2311:
2312: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2313: @table @t
1.34 ohara 2314: @item assoc(@var{a},@var{b})
2315: :: $BO"A[%j%9%H$r$D$/$k(B
1.23 takayama 2316: @end table
2317:
2318: @table @var
2319: @item return
1.34 ohara 2320: List
2321: @item a
2322: List
2323: @item b
2324: List
1.23 takayama 2325: @end table
2326:
2327: @itemize @bullet
1.34 ohara 2328: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
2329: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
2330: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1.23 takayama 2331: @end itemize
2332:
1.34 ohara 2333: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
2334: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
2335: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
2336:
1.23 takayama 2337: @example
1.34 ohara 2338: [1192] A=["dog","cat","snake"];
2339: [dog,cat,snake]
2340: [1193] B=[4,4,0];
2341: [4,4,0]
2342: [1194] assoc(A,B);
2343: [[dog,4],[cat,4],[snake,0]]
1.23 takayama 2344: @end example
2345:
2346: @table @t
2347: @item $B;2>H(B
1.34 ohara 2348: @ref{cons}, @ref{append}
1.23 takayama 2349: @end table
2350:
2351: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2352: @noindent
2353: ChangeLog
2354: @itemize @bullet
1.34 ohara 2355: @item
2356: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
2357: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
2358: builtin/list.c 1.9
2359: parse/eval.c 1.35,
2360: parse/parse.h 1.31,
2361: parse/quote.c 1.14--1.16.
1.23 takayama 2362: @end itemize
2363:
1.34 ohara 2364:
2365: @node set_secure_flag,,, $B8@8l(B
2366: @subsection @code{set_secure_flag}, @code{set_secure_mode}
2367: @findex set_secure_flag
2368: @findex set_secure_mode
1.23 takayama 2369:
2370: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2371: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2372: @table @t
1.34 ohara 2373: @item set_secure_flag(@var{fname},@var{m})
2374: @itemx set_secure_mode(@var{m})
2375: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1.23 takayama 2376: @end table
2377:
2378: @table @var
2379: @item return
2380: $B@0?t(B
1.34 ohara 2381: @item fname
2382: $BJ8;zNs(B
2383: @item m
2384: $B@0?t(B
1.23 takayama 2385: @end table
2386:
2387: @itemize @bullet
1.34 ohara 2388: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
2389: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2390: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2391: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2392: $B4X?t$7$+<B9T$G$-$J$$(B.
2393: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2394: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2395: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
2396: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
2397: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
2398: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
2399: @item
2400: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
2401: $B$K$9$k(B.
2402: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
2403: @item
2404: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
2405: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
2406: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
2407: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
2408: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
2409: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.23 takayama 2410: @end itemize
2411:
2412: @example
1.34 ohara 2413: [1194] set_secure_flag("print_input_form_",1);
2414: 1
2415: [1195] set_secure_flag("fctr",1);
2416: 1
2417: [220] set_secure_mode(1);
2418: 1
2419: [1197] fctr((x-1)^3);
2420: [[1,1],[x-1,3]]
2421: [1198] fctr(shell("ls"));
2422: evalf : shell not permitted
2423: return to toplevel
1.23 takayama 2424: @end example
2425:
2426: @table @t
2427: @item $B;2>H(B
1.34 ohara 2428: @ref{timer}
1.23 takayama 2429: @end table
2430:
2431: @noindent
2432: ChangeLog
2433: @itemize @bullet
1.34 ohara 2434: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
2435: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2436: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
2437: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2438: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2439: $B4X?t$7$+<B9T$G$-$J$$(B.
2440: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2441: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2442: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
2443: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
2444: $BMxMQ$9$k(B.
2445: cgi-asir.sh $B$G$O(B
2446: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
2447: @item
2448: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
2449: @item
2450: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
2451: @item
2452: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
2453: @item
2454: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.23 takayama 2455: @end itemize
2456:
1.34 ohara 2457: @node initialize_static_variable,,, $B8@8l(B
2458: @subsection @code{initialize_static_variable}
2459: @findex initialize_static_variable
2460:
1.23 takayama 2461:
1.34 ohara 2462: @comment --- $B@bL@(B ---
1.23 takayama 2463: @table @t
1.34 ohara 2464: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.23 takayama 2465: @end table
2466:
2467:
2468: @itemize @bullet
1.34 ohara 2469: @item static $BJQ?t$N<h07(B.
2470: $B2<$NNc$r;2>H$N$3$H(B.
1.23 takayama 2471: @end itemize
2472:
1.34 ohara 2473:
1.23 takayama 2474: @example
1.34 ohara 2475: if (1) @{
2476: module abc;
2477: static A;
2478: A=1;
2479: endmodule;
2480: @} else @{ @};
1.23 takayama 2481:
1.34 ohara 2482: end$
2483: $B$r(B t.rr $B$H$9$k$H$-(B,
1.23 takayama 2484:
1.34 ohara 2485: [6] load("./t.rr");
2486: 1
2487: internal error (SEGV)
2488: $B$H$J$k(B.
1.23 takayama 2489:
1.34 ohara 2490: t.rr $B$r(B
2491: if (1) @{
2492: module abc;
2493: static A;
2494: localf initA;
2495: localf foo;
2496: def initA() @{
2497: A=1;
2498: @}
2499: initA();
2500: def foo() @{
2501: return A;
2502: @}
2503: endmodule;
2504: @} else @{ @};
1.23 takayama 2505:
1.34 ohara 2506: end$
2507: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1.23 takayama 2508: @end example
2509:
1.34 ohara 2510: @comment --- ChangeLog
1.23 takayama 2511: @noindent
2512: ChangeLog
2513: @itemize @bullet
1.34 ohara 2514: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
2515: @item oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
2516: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1.23 takayama 2517: @end itemize
1.34 ohara 2518:
1.23 takayama 2519: @comment ****************************************************************
1.13 takayama 2520:
1.34 ohara 2521: @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
2522: @section $B?tO@!&Be?t(B
2523:
1.24 takayama 2524:
1.34 ohara 2525: @node small_jacobi,,, $B?tO@!&Be?t(B
2526: @subsection @code{small_jacobi}
2527: @findex small_jacobi
1.24 takayama 2528:
2529: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2530: @table @t
1.34 ohara 2531: @item small_jacobi(@var{a},@var{m})
2532: :: Jacobi $B5-9f$N7W;;(B
1.24 takayama 2533: @end table
2534:
1.34 ohara 2535: @table @var
2536: @item return
2537: $B@0?t(B
2538: @item arg1, arg2
2539: $B@0?t(B
2540: @end table
1.24 takayama 2541:
2542: @itemize @bullet
1.34 ohara 2543: @item
2544: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
2545: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
2546: @item
2547: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
2548: @item
2549: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1.24 takayama 2550: @end itemize
2551:
2552: @example
1.34 ohara 2553: [1286] small_jacobi(2,3);
2554: -1
2555: [1287] small_jacobi(2,7);
2556: 1
1.24 takayama 2557: @end example
2558:
2559: @table @t
2560: @item $B;2>H(B
1.34 ohara 2561: http://members.jcom.home.ne.jp/yokolabo/asirlib/
2562: $B$b8+$F$M(B.
1.24 takayama 2563: @end table
2564:
2565: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2566: @noindent
2567: ChangeLog
2568: @itemize @bullet
1.34 ohara 2569: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1.24 takayama 2570: @end itemize
2571:
1.34 ohara 2572:
2573: @node noro_matrix.rr,,, $B?tO@!&Be?t(B
1.25 takayama 2574: @subsection @code{noro_matrix.rr}
2575: @findex noro_matrix.rr
2576:
2577: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2578: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2579: @table @t
2580: @item linalg.unit_mat(@var{arg1})
2581: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
2582: @item linalg.minipoly_mat(@var{arg1})
2583: @item linalg.compute_kernel(@var{arg1})
2584: @item linalg.compute_image(@var{arg1})
2585: @item linalg.jordan_canonical_form(@var{arg1})
2586: @end table
2587:
2588:
2589: @itemize @bullet
2590: @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.
2591: @end itemize
2592:
2593: @example
2594: load("noro_matrix.rr");
2595: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
2596: B=linalg.jordan_canonical_form(A);
2597: @end example
2598:
2599: @table @t
2600: @item $B;2>H(B
2601: @ref{invmat}
2602: @end table
2603:
2604: @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
2605: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2606: @noindent
2607: ChangeLog
2608: @itemize @bullet
2609: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
2610: @item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
2611: @end itemize
2612:
2613:
1.34 ohara 2614: @node f_res,,, $B?tO@!&Be?t(B
1.26 takayama 2615: @subsection @code{f_res}
2616: @findex f_res
1.25 takayama 2617:
2618: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2619: @table @t
1.26 takayama 2620: @item f_res
1.25 takayama 2621: @end table
2622:
2623:
2624: @itemize @bullet
1.26 takayama 2625: @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 2626: @end itemize
2627:
2628: @table @t
2629: @item $B;2>H(B
2630: @ref{}
2631: @end table
2632:
2633: @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
2634: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2635: @noindent
2636: ChangeLog
2637: @itemize @bullet
2638: @item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B.
1.26 takayama 2639: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25 takayama 2640: @end itemize
2641:
2642:
1.34 ohara 2643: @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
2644: @section D $B2C72$N@)8B$K4X$9$k4X?t(B
1.27 ohara 2645:
2646:
1.34 ohara 2647: @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2648: @subsection @code{nk_restriction.restriction}
2649: @comment --- $B:w0zMQ%-!<%o!<%I(B
2650: @findex nk_restriction.restriction
2651:
2652: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2653: @table @t
1.34 ohara 2654: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2655: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9!#(B
2656: @end table
2657:
2658: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2659: @table @var
2660: @item Id
2661: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2662: @item VL
2663: $BJQ?t$N%j%9%H(B
2664: @item DVL
2665: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2666: @item W
2667: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2668: @end table
2669:
2670: @itemize @bullet
2671: @item
2672: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
2673: ($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
2674: @item
2675: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
1.34 ohara 2676: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2677: x,y $B$K$D$$$F@)8B$r9T$&!#(B
1.29 nakayama 2678: @end itemize
2679:
2680: $B0J2<$O!"%$%G%"%k(B
1.34 ohara 2681: @iftex
1.29 nakayama 2682: @tex
1.34 ohara 2683: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2684: @end tex
1.29 nakayama 2685: $B$N(B
1.34 ohara 2686: @tex
2687: $x$
2688: @end tex
2689: @end iftex
2690: @ifinfo
2691: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2692: @end ifinfo
1.29 nakayama 2693: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k!#(B
2694: @example
2695: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2696: -- generic_bfct_and_gr :0.001sec(0.001629sec)
2697: generic bfct : [[1,1],[s-1,1]]
2698: S0 : 1
1.33 ohara 2699: B_@{S0@} length : 2
1.29 nakayama 2700: -- fctr(BF) + base :0.000999sec(0.0005109sec)
2701: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
2702: @end example
2703:
1.34 ohara 2704:
1.29 nakayama 2705: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2706: @subsection @code{nk_restriction.restriction_ideal}
2707: @comment --- $B:w0zMQ%-!<%o!<%I(B
2708: @findex nk_restriction.restriction_ideal
2709:
2710: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2711: @table @t
1.34 ohara 2712: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2713: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9!#(B
2714: @end table
2715:
2716: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2717: @table @var
2718: @item Id
2719: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2720: @item VL
2721: $BJQ?t$N%j%9%H(B
2722: @item DVL
2723: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2724: @item W
2725: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2726: @end table
2727:
2728: @itemize @bullet
2729: @item
2730: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
2731: ($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)
2732: @item
2733: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&!#(B
1.34 ohara 2734: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2735: x,y $B$K$D$$$F@)8B$r9T$&!#(B
1.29 nakayama 2736: @end itemize
2737:
1.34 ohara 2738: $B0J2<$O!"%$%G%"%k(B
2739: @iftex
1.29 nakayama 2740: @tex
1.34 ohara 2741: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2742: @end tex
1.29 nakayama 2743: $B$N(B
1.34 ohara 2744: @tex
2745: $x$
2746: @end tex
2747: @end iftex
2748: @ifinfo
2749: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2750: @end ifinfo
1.29 nakayama 2751: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
2752: @example
2753: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2754: -- generic_bfct_and_gr :0.002sec(0.001652sec)
2755: generic bfct : [[1,1],[s-1,1]]
2756: S0 : 1
1.33 ohara 2757: B_@{S0@} length : 2
1.29 nakayama 2758: -- fctr(BF) + base :0sec(0.000566sec)
2759: -- restriction_ideal_internal :0.001sec(0.0007441sec)
2760: [-1]
2761: @end example
2762:
1.34 ohara 2763: @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2764: @subsection @code{nk_restriction.integration}
2765: @comment --- $B:w0zMQ%-!<%o!<%I(B
2766: @findex nk_restriction.integration
2767:
2768: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2769: @table @t
1.34 ohara 2770: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2771: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9!#(B
2772: @end table
2773:
2774: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2775: @table @var
2776: @item Id
2777: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2778: @item VL
2779: $BJQ?t$N%j%9%H(B
2780: @item DVL
2781: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2782: @item W
2783: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2784: @end table
2785:
2786: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2787: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2788: @comment --- @bullet $B$O9uE@IU$-(B ---
2789: @itemize @bullet
2790: @item
2791: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
2792: ($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)
2793: @item
2794: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
1.34 ohara 2795: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2796: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
1.29 nakayama 2797: @end itemize
2798:
1.34 ohara 2799: $B0J2<$O!"%$%G%"%k(B
2800: @iftex
2801: @tex
1.29 nakayama 2802: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2803: @end tex
1.29 nakayama 2804: $B$N(B
1.34 ohara 2805: @tex
2806: $t$
2807: @end tex
2808: @end iftex
2809: @ifinfo
2810: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2811: @end ifinfo
1.29 nakayama 2812: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
2813: @example
2814: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
2815: [dt,dx],[1,0]);
2816: -- generic_bfct_and_gr :0.001sec(0.001796sec)
2817: generic bfct : [[1,1],[s,1],[s-1,1]]
2818: S0 : 1
1.33 ohara 2819: B_@{S0@} length : 2
1.29 nakayama 2820: -- fctr(BF) + base :0.001sec(0.0006731sec)
2821: [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
2822: @end example
2823:
1.34 ohara 2824: @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2825: @subsection @code{nk_restriction.integration_ideal}
2826: @comment --- $B:w0zMQ%-!<%o!<%I(B
2827: @findex nk_restriction.integration_ideal
2828:
2829: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2830: @table @t
1.34 ohara 2831: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.29 nakayama 2832: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9!#(B
2833: @end table
2834:
2835: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2836: @table @var
2837: @item Id
2838: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2839: @item VL
2840: $BJQ?t$N%j%9%H(B
2841: @item DVL
2842: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2843: @item W
2844: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2845: @end table
2846:
2847: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2848: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2849: @comment --- @bullet $B$O9uE@IU$-(B ---
2850: @itemize @bullet
2851: @item
2852: @var{W} $B$NMWAG$OHsIi@0?t$G!"(B0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$!#(B
2853: ($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)
2854: @item
2855: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&!#(B
1.34 ohara 2856: $BNc$($P!"(B@var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B
2857: x,y $B$K$D$$$F@QJ,$r9T$&!#(B
1.29 nakayama 2858: @end itemize
2859:
1.34 ohara 2860: $B0J2<$O!"%$%G%"%k(B
2861: @iftex
2862: @tex
1.29 nakayama 2863: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2864: @end tex
1.29 nakayama 2865: $B$N(B
1.34 ohara 2866: @tex
2867: $t$
2868: @end tex
2869: @end iftex
2870: @ifinfo
2871: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2872: @end ifinfo
1.29 nakayama 2873: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B([SST, Ex5.5.2, Ex5.5.6])
2874: @example
2875: [1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
2876: [dt,dx],[1,0]);
2877: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
2878: generic bfct : [[1,1],[s,1],[s-1,1]]
2879: S0 : 1
1.33 ohara 2880: B_@{S0@} length : 2
1.29 nakayama 2881: -- fctr(BF) + base :0.001sec(0.001091sec)
2882: -- integration_ideal_internal :0.002sec(0.001879sec)
2883: [2*x*dx+1]
2884: [1432]
2885: @end example
2886:
1.42 nisiyama 2887: @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2888: @subsection @code{nk_restriction.ann_mul}
2889: @comment --- $B:w0zMQ%-!<%o!<%I(B
2890: @findex nk_restriction.ann_mul
2891:
2892: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2893: @table @t
2894: @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
2895: :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
2896: @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
2897: @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
2898: @end table
2899:
2900: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2901: @table @var
2902: @item I
2903: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2904: @item J
2905: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2906: @item VL
2907: $BJQ?t$N%j%9%H(B
2908: @item DVL
2909: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2910: @end table
2911:
2912: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2913: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2914: @comment --- @bullet $B$O9uE@IU$-(B ---
2915: @itemize @bullet
2916: @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
2917: @end itemize
2918:
2919:
2920: @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
1.36 nisiyama 2921: @subsection @code{nk_restriction (option)}
2922: @comment --- $B:w0zMQ%-!<%o!<%I(B
2923: @findex nk_restriction (option)
2924:
2925: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2926: @table @t
2927: @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 2928: @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 2929: @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 2930: @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 2931: :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
2932: @end table
2933:
2934: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2935: @table @var
2936: @item @var{n}
2937: 0 $B$^$?$O(B 1
2938: @item @var{p}
2939: $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
2940: @item @var{m}
2941: $B@0?t(B
1.39 nisiyama 2942: @item @var{b}
2943: 0, 1, 2, 3 $B$N$$$:$l$+(B
2944: @item @var{ord}
2945: $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
1.36 nisiyama 2946: @end table
2947:
2948: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2949: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2950: @comment --- @bullet $B$O9uE@IU$-(B ---
2951: @itemize @bullet
2952: @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
2953:
2954: restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
2955: @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
2956:
2957: @iftex
2958: @tex
2959: {\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}
2960: @end tex
2961: @end iftex
2962: @ifinfo
2963: 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
2964: @end ifinfo
2965:
2966: $B$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.
2967: $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
2968: $B%3%a%s%H$r;2>H(B.
2969:
2970: restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
2971: restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
2972: $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
2973:
2974: @item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B.
2975: $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
2976: $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
2977: $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
2978:
2979: @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
2980: $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
2981: @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
2982: $BMxMQ$G$-$k(B.
2983:
2984: @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
2985: $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
1.39 nisiyama 2986:
2987: @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
2988: $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
2989: $B$?$@$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.
2990:
2991: 0: $B@F<!2=$J$7(B, trace $B$J$7(B
2992:
2993: 1: $B@F<!2=$J$7(B, trace $B$"$j(B
2994:
2995: 2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
2996:
2997: 3: $B@F<!2=$"$j(B, trace $B$"$j(B
2998:
2999: @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
3000: $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
3001: $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
3002: $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
3003:
3004: $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
1.36 nisiyama 3005: @end itemize
3006:
3007: $B0J2<$O(B,
3008: @iftex
3009: @tex
3010: $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
3011: @end tex
3012: $B$N(B annihilator
3013: @tex
3014: $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
3015: \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
3016: (xt-1) \partial_x+at \}$
3017: @end tex
3018: $B$N(B
3019: @tex
3020: $t$
3021: @end tex
3022: $B$K$D$$$F$N@QJ,%$%G%"%k(B
3023: @tex
3024: $J$
3025: @end tex
3026: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3027: @end iftex
3028: @ifinfo
3029: t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
3030: $B$N(B annihilator
3031: I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
3032: (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
3033: $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
3034: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3035: @end ifinfo
3036: @example
3037: [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
3038: [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
3039: [(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]
3040: [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
3041: -- nd_weyl_gr :0sec(0.001875sec)
3042: -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
3043: -- generic_bfct_and_gr :0.008001sec(0.006181sec)
3044: generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
3045: S0 : 0
3046: B_{S0} length : 1
3047: -- fctr(BF) + base :0sec(0.003848sec)
3048: -- integration_ideal_internal :0sec(0.07707sec)
3049: [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
3050: @end example
3051: @iftex
3052: $B$3$N=PNO$O(B
3053: @tex
3054: $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
3055: - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
3056: @end tex
3057: $B$G$"$k$3$H$r0UL#$9$k(B.
3058: @end iftex
3059: @ifinfo
3060: $B$3$N=PNO$O(B
3061: @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
3062: $B$G$"$k$3$H$r0UL#$9$k(B.
3063: @end ifinfo
3064:
1.42 nisiyama 3065: @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
1.39 nisiyama 3066: @subsection @code{nk_restriction.trans_inhomo}
3067: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.42 nisiyama 3068: @findex nk_restriction.trans_inhomo
1.39 nisiyama 3069:
3070: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3071: @table @t
3072: @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
3073: :: 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
3074: @end table
3075:
3076: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3077: @table @var
3078: @item P
3079: $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
3080: @item INT
3081: nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
3082:
3083: nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
3084: @item VL
3085: $BJQ?t$N%j%9%H(B
3086: @item DVL
3087: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3088: @item W
3089: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3090: @end table
3091:
3092: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3093: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3094: @comment --- @bullet $B$O9uE@IU$-(B ---
3095: @itemize @bullet
3096: @item @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.
3097: @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$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
3098: @end itemize
3099:
1.42 nisiyama 3100: @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
3101: @subsection @code{nk_restriction.ost_integration_ideal}
3102: @comment --- $B:w0zMQ%-!<%o!<%I(B
3103: @findex nk_restriction.ost_integration_ideal
3104:
3105: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3106: $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
1.43 nisiyama 3107: $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
1.42 nisiyama 3108: @table @t
3109: @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3110: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
3111: @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3112: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
3113: @end table
3114:
3115: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3116: @table @var
3117: @item Id
3118: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3119: @item VL
3120: $BJQ?t$N%j%9%H(B
3121: @item DVL
3122: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3123: @item W
3124: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3125: @item LB
3126: $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
3127: @item UB
3128: $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
3129: @end table
3130:
3131: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3132: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3133: @comment --- @bullet $B$O9uE@IU$-(B ---
3134: @itemize @bullet
3135: @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B.
3136: @end itemize
3137:
1.43 nisiyama 3138: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
1.42 nisiyama 3139: @iftex
3140: @tex
3141: $ \int_0^\infty \exp((-t^3+t)x) dt $
3142: @end tex
1.44 nisiyama 3143: $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
1.42 nisiyama 3144: @tex
3145: $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
3146: @end tex
3147: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3148: @end iftex
3149: @ifinfo
3150: \int_0^$B!g(B exp((-t^3+t)x) dt
3151: $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3152: I = < dt +(3t^2-1)x, dx+t^3-t >
3153: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3154: @end ifinfo
3155: @example
3156: [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
3157: [1872] VL=[t,x]$
3158: [1873] DVL=[dt,dx]$
3159: [1874] W=[1,0]$
3160: [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
3161: -- nd_weyl_gr :0.008sec(0.006768sec)
3162: -- weyl_minipoly :0.004001sec(0.003029sec)
3163: -- generic_bfct_and_gr :0.012sec(0.0129sec)
3164: generic bfct : [[1,1],[s,1],[s-2,1]]
3165: S0 : 2
3166: B_{S0} length : 3
3167: -- fctr(BF) + base :0.008sec(0.007395sec)
3168: -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
3169: [-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]
3170:
3171:
3172: [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
3173: ($BN,(B)
3174: [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]
3175: @end example
3176: $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
3177:
1.44 nisiyama 3178: @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
3179: @subsection @code{nk_restriction.ost_sum}
3180: @comment --- $B:w0zMQ%-!<%o!<%I(B
3181: @findex nk_restriction.ost_sum
3182:
3183: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3184: @table @t
3185: @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
3186: :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
3187: @end table
3188:
3189: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3190: @table @var
3191: @item Id
3192: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3193: @item VL
3194: $BJQ?t$N%j%9%H(B
3195: @item DVL
3196: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
3197: @item W
3198: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3199: @end table
3200:
3201: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3202: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3203: @comment --- @bullet $B$O9uE@IU$-(B ---
3204: @itemize @bullet
3205: @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
3206: @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
3207: @end itemize
3208:
3209: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
3210: @iftex
3211: @tex
3212: $ \sum_{k=a}^b {n \choose k} $
3213: @end tex
3214: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3215: @tex
3216: $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
3217: @end tex
3218: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3219: @end iftex
3220: @ifinfo
3221: \sum_{k=a}^b n_C_k
3222: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3223: I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
3224: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3225: @end ifinfo
3226: @example
3227: [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
3228: [1872] VL=[k,n]$
3229: [1873] DVL=[ek,en]$
3230: [1874] W=[1,0]$
3231: [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
3232: -- nd_weyl_gr :0.006667sec(0.004057sec)
3233: -- weyl_minipoly :0sec(0.001163sec)
3234: -- generic_bfct_and_gr :0.01sec(0.007085sec)
3235: generic bfct : [[1,1],[s,1]]
3236: S0 : 0
3237: B_{S0} length : 1
3238: -- fctr(BF) + base :0.003333sec(0.001785sec)
3239: -- restriction_ideal_internal :0sec(0.002336sec)
3240: [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
3241: @end example
3242:
3243:
1.30 takayama 3244: @noindent
3245: ChangeLog
3246: @itemize @bullet
3247: @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
1.39 nisiyama 3248: @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.
3249: @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
3250: $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
1.44 nisiyama 3251: @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
1.30 takayama 3252: @end itemize
3253:
1.37 takayama 3254: @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
3255: @section $B$=$NB>(B($BL$J,N`(B)
3256:
3257: @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
3258: @subsection @code{tk_pfn.rkn}
3259: @findex tk_pfn.rkn
3260:
3261: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3262: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3263: @table @t
3264: @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
3265: :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
3266: @end table
3267:
3268: @table @var
3269: @item return
3270: $B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B
3271: @item F, X, Y, Xs, Ys, Ht, H
3272: @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
3273: @var{X} $B$OFHN)JQ?t%j%9%H(B.
3274: @var{Y} $B$O=>B0JQ?t%j%9%H(B.
3275: @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
3276: @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
3277: @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
3278: @var{H} $B$OHy>/?t(B.
3279: @end table
3280:
3281: @itemize @bullet
3282: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
3283: @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$$$k(B.
3284: @item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$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.
3285: @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
3286: @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
3287: @item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B.
3288: @item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B.
3289: @item $B;29M(B. taka_runge_kutta.rr, yang.rr
3290: @end itemize
3291:
3292: @example
3293: [1355] import("tk_pfn.rr");
3294: [1590] tk_pfn.test1();
3295: Value at (3,0.1)[8.99,6,-0.2]
3296: Value at (1,3)[-8,2,-6]
3297: [[[1,3],-8,2,-6],
3298: [[1,2.9],-7.41,2,-5.8],
3299: --- snip ---
3300: [[3,0.1],8.99,6,-0.2]]
3301: @end example
3302:
3303:
3304: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3305: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3306: @noindent
3307: ChangeLog
3308: @itemize @bullet
3309: @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
3310: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
3311: @item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B.
3312: @end itemize
1.29 nakayama 3313:
1.40 takayama 3314:
3315: @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
3316: @subsection @code{tk_pfn.graph}
3317: @findex tk_pfn.graph
3318:
3319: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3320: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3321: @table @t
3322: @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
3323: :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
3324: @end table
3325:
3326: @table @var
3327: @item return
1.41 takayama 3328: $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, ...].
3329: [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
3330: y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
1.40 takayama 3331: @item Pf, Dom, Iv, Step
3332: @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.
3333: @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
3334: @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
3335: @var{Step} $B9o$_I}(B.
3336: @end table
3337:
3338: @itemize @bullet
3339: @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3340: @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.
3341: @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
3342: @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.
3343: @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 3344: @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
1.40 takayama 3345: @end itemize
3346:
3347: @example
3348: [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
1.41 takayama 3349: [1590] tk_pfn.testgraph1();
1.40 takayama 3350:
3351: $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
3352: def testgraph1() {
3353: /* tk_bess2.bess2pf(1/2); */
3354: Pf= [[[ 0, (1)/(x), 0 ],
3355: [ -x, (2*x^2+1)/(x), -2*x ],
3356: [ -y, 0, 0 ]],
3357: [[ 0, 0, (1)/(y) ],
3358: [ -x, 0, 0 ],
3359: [ -x, (1/2)/(x), (-1/2)/(y) ]]];
3360: /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
3361: Iv = [0.105994,-0.651603,-0.760628];
3362: Dom=[[0.5,1.5],[1.5,9]];
3363: Step = 0.5;
1.41 takayama 3364: return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
1.40 takayama 3365: }
3366:
3367:
3368: @end example
3369:
3370:
3371: @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
3372: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3373: @noindent
3374: ChangeLog
3375: @itemize @bullet
3376: @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
3377: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
3378: @end itemize
3379:
1.41 takayama 3380: @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
3381: @subsection @code{tk_rk.runge_kutta_4}
3382: @findex tk_rk.runge_kutta_4
3383:
3384: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3385: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3386: @table @t
3387: @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3388: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
3389: @end table
3390:
3391: @table @var
3392: @item return
3393: $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, ...].
3394: @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.
3395: @item Eq, X, Y, Step
3396: @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.
3397: @var{X} $BFHN)JQ?tL>(B.
3398: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
3399: @var{Step} $B9o$_I}(B.
3400: @item X0, Y0, Terminal
3401: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3402: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3403: @var{Terminal} @var{X} $B$N=*CeE@(B.
3404: @end table
3405:
3406: @itemize @bullet
3407: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3408: @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.
3409: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
3410: @code{tk_rk.test4()} $B$r;2>H(B.
3411: @end itemize
3412:
3413: @example
3414: [1355] import("taka_runge_kutta.rr");
3415: [1590] tk_rk.test4();
3416:
3417: $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)
3418: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3419:
3420: def test4() {
3421: A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
3422: taka_plot_auto(A);
3423: return(A);
3424: }
3425:
3426: @end example
3427:
3428:
3429: @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
3430: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3431: @noindent
3432: ChangeLog
3433: @itemize @bullet
3434: @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
3435: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3436: @end itemize
3437:
3438: @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
3439: @subsection @code{tk_rk.runge_kutta_4_linear}
3440: @findex tk_rk.runge_kutta_4_linear
3441:
3442: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3443: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3444: @table @t
3445: @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3446: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
3447: @end table
3448:
3449: @table @var
3450: @item return
3451: $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, ...].
3452: @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
3453: @item P, X, Y, Step
3454: @var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B.
3455: @var{X} $BFHN)JQ?tL>(B.
3456: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B.
3457: @var{Step} $B9o$_I}(B.
3458: @item X0, Y0, Terminal
3459: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3460: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3461: @var{Terminal} @var{X} $B$N=*CeE@(B.
3462: @end table
3463:
3464: @itemize @bullet
3465: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3466: @end itemize
3467:
3468: @example
3469: [1355] import("taka_runge_kutta.rr");
3470: [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
3471: [1591] taka_plot_auto(A);
3472:
3473: $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
3474: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3475:
3476: @end example
3477:
3478:
3479: @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
3480: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3481: @noindent
3482: ChangeLog
3483: @itemize @bullet
3484: @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
3485: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3486: @end itemize
3487:
1.40 takayama 3488:
3489:
1.38 takayama 3490: @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B
3491: @subsection @code{fj_simp.simplify}
3492: @findex fj_simp.simplify
3493:
3494: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3495: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3496: @table @t
3497: @item fj_simp.simplify(@var{arg1})
3498: :: arg1 $B$r4JC12=$9$k(B.
3499: @end table
3500:
3501: @table @var
3502: @item return
3503: $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
3504: @item arg1
3505: $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
3506: @end table
3507:
3508: @itemize @bullet
3509: @item
3510: $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.
3511: @item
3512: $B$3$N4X?t$O(B
3513: Joel S. Cohen, Computer Algebra and Symbolic Computation,
3514: http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
3515: $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
3516: B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
3517: $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3518: @item
3519: $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
3520: $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
3521: @end itemize
3522:
3523: @example
3524: load("fj_simplify.rr");
3525: [1434] simplify((x^(1/2))^3);
3526: ((x)^(3/2))
3527: [1435] simplify((2^(1/2))^2);
3528: 2
3529: [1436] simplify((2+2^(1/2))^3);
3530: 14*((2)^(1/2))+20
3531: [1437] simplify(exp(x)*exp(-x+y));
3532: ((@@e)^(y))
3533: @end example
3534:
3535: @table @t
3536: @item $B;2>H(B
3537: @ref{quote}
3538: @end table
3539:
3540: @noindent
3541: ChangeLog
3542: @itemize @bullet
3543: @item
3544: $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.
3545: poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.
3546: @item
3547: Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
3548: @item
3549: $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
3550: OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
3551: @end itemize
3552:
1.46 takayama 3553: @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
3554: @subsection @code{tk_jack.zonal}
3555: @findex tk_jack.zonal
3556:
3557: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3558: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3559: @table @t
3560: @item tk_jack.zonel(@var{p},@var{n})
3561: :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
3562: @end table
3563:
3564: @table @var
3565: @item return
3566: $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
3567: @item p
3568: $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
3569: @item n
3570: $B<+A3?t(B
3571: @end table
3572:
3573: @itemize @bullet
3574: @item
3575: $B$3$N4X?t$O(B
3576: Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
3577: $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3578: $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
3579: @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
3580: @end itemize
3581:
3582: @example
3583: load("tk_jack.rr");
3584: [1434] tk_jack.zonal([3,2,1],3);
3585: (112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1
3586: [1435] tk_jack.zonal([1,1],3);
3587: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3588: [1436] tk_jack.jack([1,1],3,2);
3589: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3590: @end example
3591:
3592: @table @t
3593: @item $B;2>H(B
3594: @end table
3595:
3596: @noindent
3597: ChangeLog
3598: @itemize @bullet
3599: @item
3600: $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
3601: holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
3602: $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
3603: @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
3604: @end itemize
3605:
1.47 ! takayama 3606: @comment ----------- $B0J2<$O8+K\(B. $B>C$9$J(B. template
1.19 takayama 3607: @comment ****************************************************************
1.34 ohara 3608: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 3609: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.34 ohara 3610: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1.4 takayama 3611: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
3612: @node xyz_pqr,,, $B<B83E*;EMM$N4X?t(B
3613: @subsection @code{xyz_pqr}, @code{syz_stu}
3614: @findex xyz_pqr
3615: @findex xyz_stu
3616:
1.3 takayama 3617: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3618: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3619: @table @t
1.1 takayama 3620: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
3621: @itemx xyz_stu(@var{arg1},@var{arg2})
3622: :: xyz $B$K4X$9$kA`:n(B.
3623: @end table
3624:
3625: @table @var
3626: @item return
3627: $B@0?t(B
3628: @item arg1, arg2
3629: $B@0?t(B
3630: @item flag
3631: 0 $B$^$?$O(B 1
3632: @end table
3633:
3634: @itemize @bullet
1.3 takayama 3635: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 3636: @item
3637: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
3638: @item
3639: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
3640: @item
3641: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
3642: @end itemize
3643:
3644: @example
3645: [219] xyz_pqr(1,2);
3646: 3
3647: [220] xyz_pqr(1,2,1);
3648: 3
3649: 0
3650: [221] xyz_stu(1,2);
3651: 3
3652: @end example
3653:
3654: @table @t
3655: @item $B;2>H(B
3656: @ref{xyz_abc}
3657: @end table
3658:
1.3 takayama 3659: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3660: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 3661: @noindent
3662: ChangeLog
3663: @itemize @bullet
3664: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
3665: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
3666: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
3667: @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.
3668: @end itemize
3669:
3670: @comment --- $B$*$^$8$J$$(B ---
3671: @node Index,,, Top
3672: @unnumbered Index
3673: @printindex fn
3674: @printindex cp
3675: @iftex
3676: @vfill @eject
3677: @end iftex
3678: @summarycontents
3679: @contents
3680: @bye
3681: @comment --- $B$*$^$8$J$$=*$j(B ---
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