Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.58
1.58 ! noro 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.57 2018/10/17 00:33:49 takayama Exp $
1.54 takayama 2: \input texinfo-ja
1.1 takayama 3: @iftex
4: @catcode`@#=6
5: @def@fref#1{@xrefX[#1,,@code{#1},,,]}
1.58 ! noro 6: @def@b#1{{@bf #1}}
1.1 takayama 7: @catcode`@#=@other
8: @end iftex
9: @overfullrule=0pt
10: @c -*-texinfo-*-
11: @comment %**start of header
12: @comment --- $B$*$^$8$J$$=*$j(B ---
13:
14: @comment --- GNU info $B%U%!%$%k$NL>A0(B ---
1.58 ! noro 15: @setfilename exp
! 16: @documentlanguage ja
1.1 takayama 17:
18: @comment --- $B%?%$%H%k(B ---
19: @settitle $B<B83E*;EMM$N4X?t(B
20:
21: @comment %**end of header
22: @comment %@setchapternewpage odd
23:
24: @comment --- $B$*$^$8$J$$(B ---
25: @ifinfo
26: @macro fref{name}
27: @ref{\name\,,@code{\name\}}
28: @end macro
29: @end ifinfo
30:
31: @iftex
32: @comment @finalout
33: @end iftex
34:
35: @titlepage
36: @comment --- $B$*$^$8$J$$=*$j(B ---
37:
38: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
39: @title $B<B83E*;EMM$N4X?t(B
40: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
41: @subtitle 1.0 $BHG(B
1.56 takayama 42: @subtitle 2018 $BG/(B 3 $B7n(B
1.1 takayama 43:
1.16 ohara 44: @author by Risa/Asir committers
1.1 takayama 45: @page
46: @vskip 0pt plus 1filll
47: Copyright @copyright{} Risa/Asir committers
1.56 takayama 48: 2004--2018. All rights reserved.
1.1 takayama 49: @end titlepage
50:
51: @comment --- $B$*$^$8$J$$(B ---
52: @synindex vr fn
53: @comment --- $B$*$^$8$J$$=*$j(B ---
54:
55: @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
1.34 ohara 56: @comment --- @node $B$N0z?t$O(B node-name, next, previous, up ---
1.1 takayama 57: @node Top,, (dir), (dir)
58:
59: @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
60: @comment --- chapter $BL>$r@53N$KJB$Y$k(B ---
61: @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
62: @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
63: @menu
1.34 ohara 64: * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
65: * $B<B83E*;EMM$N4X?t(B::
1.1 takayama 66: * Index::
67: @end menu
68:
69: @comment --- chapter $B$N3+;O(B ---
70: @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
1.34 ohara 71: @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, Top
72: @chapter $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
1.1 takayama 73:
74: $B$3$N@bL@=q$G$O(B
75: @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
76: $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
77: $B$K0\F0$5$l$k(B.
78: ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
79: $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
80:
1.34 ohara 81: @node $B<B83E*;EMM$N4X?t(B,,, Top
82: @chapter $B<B83E*;EMM$N4X?t(B
1.1 takayama 83:
1.34 ohara 84: @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
1.1 takayama 85: @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
86: @menu
1.55 takayama 87: * asir-port.sh asir-install.sh::
88: * asirgui.hnd::
89: * chdir pwd::
1.3 takayama 90: * copyright::
1.55 takayama 91: * dcurrenttime::
1.3 takayama 92: * dp_gr_main::
1.6 takayama 93: * dp_initial_term::
94: * dp_order::
95: * dp_weyl_gr_main::
1.55 takayama 96: * eval_quote::
97: * f_res::
1.57 takayama 98: * fj_simplify.simplify::
1.55 takayama 99: * flatten_quote::
1.56 takayama 100: * function::
1.55 takayama 101: * get_struct_name get_element_names get_element_at put_element_at::
102: * getpid::
103: * initialize_static_variable::
1.8 takayama 104: * list::
105: * mapat::
1.55 takayama 106: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
107: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
108: * noro_matrix.rr::
109: * nqt_comp::
1.23 takayama 110: * nqt_match::
111: * nqt_match_rewrite::
1.55 takayama 112: * objtoquote::
113: * ot_hgm_ahg.cbase::
114: * ot_hgm_ahg.get_mat2::
115: * ot_hgm_ahg.hgm_ahg_contiguity::
116: * pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round::
117: * printf fprintf sprintf::
118: * qt_is_var qt_is_coef::
1.23 takayama 119: * qt_normalize::
1.55 takayama 120: * qt_rewrite::
1.23 takayama 121: * qt_set_coef::
122: * qt_set_ord::
123: * qt_set_weight::
1.55 takayama 124: * quote_to_funargs funargs_to_quote remove_paren get_function_name::
125: * quotetotex quotetotex_env::
126: * set_print_function::
127: * set_secure_flag set_secure_mode::
128: * small_jacobi::
129: * string_to_tb tb_to_string write_to_tb::
130: * tk_fd.abc2ahg::
131: * tk_fd.ahvec_abc::
132: * tk_hgpoly.hgpoly::
133: * tk_hgpoly.optip::
134: * tk_jack.zonal::
135: * tk_pfn.graph::
1.41 takayama 136: * tk_pfn.rkn::
137: * tk_rk.runge_kutta_4::
138: * tk_rk.runge_kutta_4_linear::
1.34 ohara 139: @end menu
1.23 takayama 140:
1.34 ohara 141: @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
142: @section $B%/%*!<%H(B
1.1 takayama 143:
1.34 ohara 144: @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1 takayama 145: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
146: @comment --- section $BL>$r@53N$K(B ---
1.34 ohara 147: @node quotetotex quotetotex_env,,, $B%/%*!<%H(B
1.2 takayama 148: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1 takayama 149: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2 takayama 150: @findex quotetotex
151: @findex quotetotex_env
1.1 takayama 152:
153: @comment --- $B4X?t$N4JC1$J@bL@(B ---
154: @table @t
1.34 ohara 155: @item quotetotex(@var{q})
1.2 takayama 156: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
157: @item quotetotex_env(@var{key},@var{value})
158: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
159: @item quotetotex_env()
160: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
161: @item quotetotex_env(0)
162: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1 takayama 163: @end table
164:
165: @comment --- $B0z?t$N4JC1$J@bL@(B ---
166: @table @var
167: @item return
1.2 takayama 168: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
169: @item q
170: quote
171: @item key
172: $BJ8;zNs(B
173: @item value
174: $B%*%V%8%'%/%H(B
1.1 takayama 175: @end table
176:
177: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
178: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
179: @comment --- @bullet $B$O9uE@IU$-(B ---
180: @itemize @bullet
181: @item
1.2 takayama 182: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
1.34 ohara 183: @item
1.2 takayama 184: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
1.34 ohara 185: @item
1.2 takayama 186: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
187: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
188: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3 takayama 189: 2$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 190: $B$r0UL#$9$k(B.
191: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
192: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
193: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
194: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
195: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
196: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
197: $BFbB"$:$_(B.
1.34 ohara 198: @item
1.5 takayama 199: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
1.34 ohara 200: @iftex
201: @tex
1.5 takayama 202: $x_0, x_1, \cdots$
1.34 ohara 203: @end tex
204: @end iftex
205: @ifinfo
206: x0, x1, ...
207: @end ifinfo
1.5 takayama 208: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
209: x $B$NItJ,$rJQ99$9$k(B.
1.34 ohara 210: @item
1.5 takayama 211: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
212: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 213: @item
1.2 takayama 214: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 215: latex $B7A<0$KJQ49$9$k(B.
1.34 ohara 216: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
217: @iftex
218: @tex
1.2 takayama 219: $x_0, x_1, \cdots$
1.34 ohara 220: @end tex
221: $B$K8eH>$NH>J,$r(B
222: @tex
1.2 takayama 223: $\partial_0, \partial_1, \cdots$
1.34 ohara 224: @end tex
225: @end iftex
226: @ifinfo
227: x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ...
228: @end ifinfo
1.2 takayama 229: $B$KJQ49$9$k(B.
230: $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 231: @item
232: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
233: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
234: @item
235: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.34 ohara 236: @item
1.2 takayama 237: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
1.1 takayama 238: @end itemize
239:
240: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
241: @example
1.2 takayama 242: [3] quotetotex(quote(1/(x+1)));
243: \frac@{ 1@} @{ ( @{x@}+ 1)@}
244: [4] quotetotex(objtoquote(diff(x^x,x)));
245: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
246: [5] quotetotex_env("conv_rule",3);
247: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
248: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 249: @end example
250:
251: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
252: @table @t
253: @item $B;2>H(B
1.2 takayama 254: @ref{objtoquote}
1.3 takayama 255: print_tex_form(contrib)
1.1 takayama 256: @end table
257:
258: @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
259: @noindent
260: ChangeLog
261: @itemize @bullet
1.34 ohara 262: @item
263: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
264: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
1.5 takayama 265: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
266: $B=PNO7A<0$r2~A1$7$?(B.
267: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
1.34 ohara 268: @item
269: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
1.5 takayama 270: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
1.34 ohara 271: @item
1.5 takayama 272: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 273: builtin/strobj.c 1.14--1.43,
274: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
275: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
276: parse/quote.c 1.7--1.8, 1.12.
1.34 ohara 277: @item
1.3 takayama 278: 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 279: @item
1.5 takayama 280: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
281: @item
282: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 283: @end itemize
284:
285:
286:
1.34 ohara 287: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
288: @node objtoquote,,, $B%/%*!<%H(B
1.3 takayama 289: @subsection @code{objtoquote}
290: @findex objtoquote
291:
292: @comment --- $B4X?t$N4JC1$J@bL@(B ---
293: @table @t
294: @item objtoquote(@var{ob})
295: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
296: @end table
297:
298: @table @var
299: @item return
300: quote
301: @item ob
302: $B%*%V%8%'%/%H(B
303: @end table
304:
305: @itemize @bullet
306: @item
307: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
308: @end itemize
309:
310: @example
311: [1150] quotetolist(quote(1+2));
312: [b_op,+,[internal,1],[internal,2]]
313: [1151] quotetolist(objtoquote(1+x));
314: [b_op,+,[internal,x],[internal,1]]3
315: @end example
316:
317: @table @t
318: @item $B;2>H(B
319: @ref{quotetotex} @ref{quotetolist}
320: @end table
321:
322: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
323: @noindent
324: ChangeLog
325: @itemize @bullet
326: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
327: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
328: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
329: @end itemize
330:
331:
1.34 ohara 332: @node flatten_quote,,, $B%/%*!<%H(B
333: @subsection @code{flatten_quote}
334: @findex flatten_quote
1.3 takayama 335:
336: @comment --- $B4X?t$N4JC1$J@bL@(B ---
337: @table @t
1.34 ohara 338: @item flatten_quote(@var{q},@var{op})
339: :: quote $B$N3g8L$r$H$j$5$k(B.
1.3 takayama 340: @end table
341:
342: @table @var
343: @item return
1.34 ohara 344: Quote
345: @item q
346: Quote
347: @item op
348: $B1i;;;R$rI=$9J8;zNs(B.
1.3 takayama 349: @end table
350:
351: @itemize @bullet
352: @item
1.34 ohara 353: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
354: ( quotetolist $B;2>H(B ).
355: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
356: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
357: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
358: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
359: @item
360: $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
361: 1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
362: $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
363: @item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
364: + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
365: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.3 takayama 366: @end itemize
367:
368: @example
1.34 ohara 369: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
370: quote(1+2+3+4*(x+3))
371: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
372: quote(x*y*p*3-x*y*z)
373: [1290] quotetolist(quote(1+2+3));
374: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
1.3 takayama 375: @end example
376:
1.34 ohara 377: @table @t
378: @item $B;2>H(B
379: @ref{quotetolist}, @ref{print_tex_form}(contrib)
380: @end table
381:
382: @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 383: @noindent
384: ChangeLog
385: @itemize @bullet
1.34 ohara 386: @item
387: $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
388: quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
389: 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
390: $B1~MQ(B.
391: @item
392: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
393: builtin/strobj.c 1.47,
394: parse/eval.c 1.35,
395: parse/parse.h 1.31,
396: parse/quote.c 1.14--1.16.
1.3 takayama 397: @end itemize
398:
399:
1.55 takayama 400: @node quote_to_funargs funargs_to_quote remove_paren get_function_name,,, $B%/%*!<%H(B
401: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}, @code{get_function_name}
1.34 ohara 402: @findex quote_to_funargs
403: @findex funargs_to_quote
404: @findex remove_paren
1.55 takayama 405: @findex get_function_name
1.3 takayama 406:
407: @table @t
1.34 ohara 408: @item quote_to_funargs(@var{q})
409: :: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
410: @item funargs_to_quote(@var{f})
411: :: funarg $B7A<0$r(B quote $B$X(B.
412: @item get_function_name(@var{f})
413: :: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
414: @item remove_paren(@var{q})
415: :: $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 416: @end table
417:
418: @table @var
419: @item return
1.34 ohara 420: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
421: @item q
422: quote
423: @item f
424: $B%j%9%H(B
1.3 takayama 425: @end table
426:
427: @itemize @bullet
428: @item
1.34 ohara 429: @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
430: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
431: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
432: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
433: @item
434: @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
435: $B$J$k7A<0$r$7$F$$$k(B.
436: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
437: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
438: $B$G<h$j$@$;$k(B.
439: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
440: $B$O(B "+" $B$rLa$9(B.
1.3 takayama 441: @item
1.34 ohara 442: $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.3 takayama 443: @item
1.34 ohara 444: $B2<$NNc$G(B
445: quote_to_funargs(FA[2]);
446: [34,[b_op,+,[internal,x],[internal,1]]]
447: $B$H$J$k(B.
448: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
449: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
450: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
451: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
452: I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
453: I_PRESELF, I_POSTSELF,
454: I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
455: I_ANS, I_PVAR, I_ASSPVAR,
456: I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
457: I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
458: I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
459: I_NARYOP
1.3 takayama 460: @end itemize
461:
1.34 ohara 462: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
463: @example
464: [0] ctrl("print_quote",1) $
465:
466: [1] Q=quote((x+1)+(x+2));
467: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
468: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
469:
470: [2] FA=quote_to_funargs(Q);
471: [0,<...quoted...>,
472: [u_op,(),[b_op,+,[internal,x],[internal,1]]],
473: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
474:
475: [3] FA2=quote_to_funargs(FA[2])[1];
476: [b_op,+,[internal,x],[internal,1]]
477:
478: [4] FA3=quote_to_funargs(FA[3])[1];
479: [b_op,+,[internal,x],[internal,2]]
480:
481: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
482: [b_op,+,[b_op,+,[internal,x],[internal,1]],
483: [b_op,+,[internal,x],[internal,2]]]
484: @end example
485:
486: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
487: @example
488: [1287] load("noro_simplify.rr");
489: 1
490: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
491: quote(f(1-x))
492: @end example
1.3 takayama 493:
1.34 ohara 494: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
495: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
496: @example
497: [1184] R=quote_to_funargs(quote(a+(b+c)));
498: [0,<...quoted...>,<...quoted...>,<...quoted...>]
499: [1185] T=quote_to_funargs(quote(1+2));
500: [0,<...quoted...>,<...quoted...>,<...quoted...>]
501: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
502: quote(a+1)
1.3 takayama 503: @end example
504:
1.34 ohara 505: @table @t
506: @item $B;2>H(B
507: @ref{quotetolist}
508: @end table
509:
1.3 takayama 510:
511: @noindent
512: ChangeLog
513: @itemize @bullet
1.34 ohara 514: @item
515: $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
516: $B$N<B83E*4X?t$G$"$k(B.
517: $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
518: @item
519: $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
520: @item
521: 2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
522: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
1.56 takayama 523: @item parse/quote.c $B$N(B strcut fid_spec fid_spec_tab[]
1.34 ohara 524: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.3 takayama 525: @end itemize
526:
527:
1.34 ohara 528: @node eval_quote,,, $B%/%*!<%H(B
529: @subsection @code{eval_quote}
530: @findex eval_quote
1.3 takayama 531:
532: @comment --- $B4X?t$N4JC1$J@bL@(B ---
533: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
534: @table @t
1.34 ohara 535: @item eval_quote(@var{Q});
536: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
1.3 takayama 537: @end table
538:
539: @table @var
540: @item return
1.34 ohara 541: $B%*%V%8%'%/%H(B
542: @item Q
543: quote$B7?(B
544: @end table
545:
546: @itemize @bullet
547: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
548: @item $B5U4X?t$O(B @code{objtoquote}
549: @end itemize
550:
551: @example
552: ctrl("print_quote",2);
553: A=quote((x-1)^2+(x-1)+3);
554: $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
555: eval_quote(A);
556: $B=PNO(B: x^2-x+3
557: print_input_form(A); /* asir-contrib */
558: $B=PNO(B: quote((x-1)^2+(x-1)+3)
1.11 ohara 559: @end example
1.3 takayama 560:
1.34 ohara 561: @table @t
562: @item $B;2>H(B
563: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
564: @ref{quote_to_funargs}, @ref{funargs_to_quote}
565: @end table
1.3 takayama 566:
567: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 568: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 569: @noindent
570: ChangeLog
571: @itemize @bullet
1.34 ohara 572: @item -----$B$^$@=q$$$F$J$$(B.
1.1 takayama 573: @end itemize
574:
1.34 ohara 575:
576: @node nqt_match,,, $B%/%*!<%H(B
577: @subsection @code{nqt_match}
578: @findex nqt_match
1.1 takayama 579:
580: @comment --- $B4X?t$N4JC1$J@bL@(B ---
581: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
582: @table @t
1.34 ohara 583: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
584: :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
1.3 takayama 585: @end table
586:
1.34 ohara 587: @table @var
588: @item return
589: $B@0?t(B
590: @item Expr
591: quote$B7?(B
592: @item Pattern
593: quote$B7?(B
594: @item Mode
595: $B@0?t(B
596: @end table
1.3 takayama 597:
598: @itemize @bullet
1.34 ohara 599: @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$$$H(B 0 $B$rLa$9(B.
600: @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
601: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
602: @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
603: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
1.3 takayama 604: @end itemize
605:
1.34 ohara 606: @example
607: ctrl("print_quote",2);
608: A=quote((x-y)*(x+y));
609: nqt_match(A,quote(P*Q));
610: [P,Q]
611: $B=PNO(B: [x-y, x+y]
612: nqt_match(A,quote(P*Q),1);
613: $B%^%C%A$7$J$$(B.
614: nqt_match(A,quote(P*Q),2);
615: $B%^%C%A$7$J$$(B.
616: qt_normalize(A,1);
617: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
618: qt_normalize(A,2);
619: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
620: @end example
621:
622: @table @t
623: @item $B;2>H(B
624: @ref{nqt_match_rewrite},
625: @ref{qt_rewrite}
626: @end table
1.3 takayama 627:
628: @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 629: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 630: @noindent
631: ChangeLog
632: @itemize @bullet
1.34 ohara 633: @item ----- $B$^$@=q$$$F$J$$(B.
1.3 takayama 634: @end itemize
635:
1.4 takayama 636:
1.34 ohara 637: @node nqt_match_rewrite,,, $B%/%*!<%H(B
638: @subsection @code{nqt_match_rewrite}
639: @findex nqt_match_rewrite
1.4 takayama 640:
641: @comment --- $B4X?t$N4JC1$J@bL@(B ---
642: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
643: @table @t
1.34 ohara 644: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
645: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
1.4 takayama 646: @end table
647:
648: @table @var
649: @item return
1.34 ohara 650: quote$B7?(B
651: @item Expr
652: quote$B7?(B
653: @item Rule
654: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
655: [@var{Pattern},@var{Condition},@var{Action}].
656: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
657: @item Mode
658: $B@0?t(B
1.4 takayama 659: @end table
660:
661: @itemize @bullet
1.34 ohara 662: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
663: @var{Exprt} $B<+BN$rLa$9(B.
664: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
1.4 takayama 665: @end itemize
666:
1.34 ohara 667: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
1.4 takayama 668: @example
1.34 ohara 669: ctrl("print_quote",2);
670: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
671: $B=PNO(B: (x)+((y)*(z))
672: A=`x*x;
673: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
674: $B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B)
675: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
676: $B=PNO(B: 2*x
677:
678: $BE,9g$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.
679: quotetolist(qt_normalize(`x*x,0));
680: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
681: quotetolist(qt_normalize(`x*x,1));
682: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
683: quotetolist(qt_normalize(`x*x,2));
684: $B=PNO(B: [n_op,*,[internal,x],[internal,x]]
1.4 takayama 685: @end example
686:
687: @table @t
688: @item $B;2>H(B
1.34 ohara 689: @ref{nqt_match},
690: @ref{qt_rewrite},
691: @ref{qt_normalize}
1.4 takayama 692: @end table
693:
694: @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
695: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
696: @noindent
697: ChangeLog
698: @itemize @bullet
1.34 ohara 699: @item -----$B$^$@=q$$$F$J$$(B.
1.4 takayama 700: @end itemize
701:
1.34 ohara 702:
703:
704: @node qt_normalize,,, $B%/%*!<%H(B
705: @subsection @code{qt_normalize}
706: @findex qt_normalize
1.6 takayama 707:
708: @comment --- $B4X?t$N4JC1$J@bL@(B ---
709: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
710: @table @t
1.34 ohara 711: @item qt_normalize(@var{Expr}[,@var{Mode}])
712: :: @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 713: @end table
714:
715: @table @var
716: @item return
1.34 ohara 717: quote$B7?(B
718: @item Expr
719: quote$B7?(B
720: @item Mode
721: $B@0?t(B
1.6 takayama 722: @end table
723:
1.34 ohara 724: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
725: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
726: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
727: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
728:
729: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
730: 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.
731: @example
732: fn = formula | functor(nf [,...]) | sum_of_monom
733: fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
734: sum_of_monom = monom [+ ...]
735: $B%b%N%_%"%k$NOB(B
736: monom = [formula *] nfpow [* ...]
737: $B%b%N%_%"%k(B
738: nfpow = nf | nf^(nf)
739: $BQQ>hItJ,$NI8=`7A(B
740: formula = Risa object
741: @end example
742:
743:
1.6 takayama 744: @itemize @bullet
1.34 ohara 745: @item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
746: @item $BE83+$O:F5"E*$G$"$k(B.
747: @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
748: (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
749: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
750: @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$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$$$k(B.
751: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
752: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
753: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
1.6 takayama 754: @end itemize
755:
1.34 ohara 756: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
757: @comment %%cfep/tests/2006-03-12-qt.rr
1.6 takayama 758: @example
1.34 ohara 759: ctrl("print_quote",2);
760: A=quote((x-y)*(x+y));
761: $B=PNO(B: ((x)-(y))*((x)+(y))
762: B=qt_normalize(A,0);
763: $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
764: quotetolist(B);
765: $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
1.6 takayama 766:
1.34 ohara 767: B=qt_normalize(A,1);
768: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
769: Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
770: quotetolist(B);
771: $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 772:
1.34 ohara 773: qt_normalize(A,2);
774: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
775: Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
776: quotetolist(B);
777: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
1.6 takayama 778:
1.34 ohara 779: qt_normalize(`x^2,2);
780: $B=PNO(B: (x)*(x)
781: Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
1.6 takayama 782: @end example
783:
784: @table @t
785: @item $B;2>H(B
1.34 ohara 786: @ref{nqt_match},
787: @ref{nqt_match_rewrite},
788: @ref{quotetolist},
789: @ref{quote_to_funargs}
1.6 takayama 790: @end table
791:
792: @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 793: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 794: @noindent
795: ChangeLog
796: @itemize @bullet
1.34 ohara 797: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 798: @end itemize
799:
1.34 ohara 800:
801: @node qt_set_coef,,, $B%/%*!<%H(B
802: @subsection @code{qt_set_coef}
803: @findex qt_set_coef
1.6 takayama 804:
805: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 806: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 807: @table @t
1.34 ohara 808: @item qt_set_coef(@var{ParamList})
809: :: $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
810: $BHs2D49B?9`<0$r07$&(B.
1.6 takayama 811: @end table
812:
813: @table @var
814: @item return
1.34 ohara 815: $B%j%9%H(B
816: @item ParamList
817: $B%j%9%H(B
1.6 takayama 818: @end table
819:
820: @itemize @bullet
1.34 ohara 821: @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
822: $BHs2D49B?9`<0$r07$&(B.
823: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
824: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
825: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 826: @end itemize
827:
828: @example
1.34 ohara 829: ctrl("print_quote",2);
830: qt_set_coef([a]);
831: B=qt_normalize(quote((a*x+a)^2),2);
832: $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
833: qt_normalize(B+B,2);
834: $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
1.6 takayama 835: @end example
836:
837: @table @t
838: @item $B;2>H(B
1.34 ohara 839: @ref{qt_normalize}
1.6 takayama 840: @end table
841:
842: @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 843: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 844: @noindent
845: ChangeLog
846: @itemize @bullet
1.34 ohara 847: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 848: @end itemize
849:
1.34 ohara 850:
851: @node qt_set_ord,,, $B%/%*!<%H(B
852: @subsection @code{qt_set_ord}
853: @findex qt_set_ord
1.6 takayama 854:
855: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 856: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 857: @table @t
1.34 ohara 858: @item qt_set_ord(@var{VarList})
859: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
1.6 takayama 860: @end table
861:
862: @table @var
863: @item return
1.34 ohara 864: $B%j%9%H(B
865: @item VarList
866: $B%j%9%H(B
1.6 takayama 867: @end table
868:
869: @itemize @bullet
1.34 ohara 870: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
871: @item $B$3$N@k8@$r$7$J$$$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.
872: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
873: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
874: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 875: @end itemize
876:
877: @example
1.34 ohara 878: ctrl("print_quote",2);
879: qt_normalize(quote(x+y),2);
880: $B=PNO(B: (x)+(y)
881: qt_set_ord([y,x]);
882: $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
883: qt_normalize(quote(x+y),2);
884: $B=PNO(B: (y)+(x)
1.6 takayama 885: @end example
886:
887: @table @t
888: @item $B;2>H(B
1.34 ohara 889: @ref{qt_normalize},
890: @ref{nqt_comp}
1.6 takayama 891: @end table
892:
893: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 894: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 895: @noindent
896: ChangeLog
897: @itemize @bullet
1.34 ohara 898: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 899: @end itemize
900:
1.8 takayama 901:
1.34 ohara 902: @node qt_set_weight,,, $B%/%*!<%H(B
903: @subsection @code{qt_set_weight}
904: @findex qt_set_weight
1.8 takayama 905:
1.34 ohara 906: @comment --- $B4X?t$N4JC1$J@bL@(B ---
907: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 908: @table @t
1.34 ohara 909: @item qt_set_weight(@var{WeightVector})
910: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
1.8 takayama 911: @end table
912:
913: @table @var
914: @item return
1.34 ohara 915: $B%j%9%H(B
916: @item WeightVector
917: $B%j%9%H(B
1.8 takayama 918: @end table
919:
1.34 ohara 920: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
921: @example
922: f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
923: $B$D$$$F$O$=$NCM(B.
924:
925: f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
926: w(f+g) = max(w(f),w(g))
927: w(f g) = w(f) + w(g)
928: w(f^n) = n w(f)
929: $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
930: @end example
931:
1.8 takayama 932: @itemize @bullet
1.34 ohara 933: @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
934: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
935: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
936: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
937: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
938: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
1.8 takayama 939: @end itemize
940:
941: @example
1.34 ohara 942: ctrl("print_quote",2);
943: qt_set_weight([[x,-1],[y,-1]]);
944: $B7k2L(B: [[x,-1],[y,-1]]
945: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
946: $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
1.8 takayama 947: @end example
948:
949: @table @t
950: @item $B;2>H(B
1.34 ohara 951: @ref{qt_normalize},
952: @ref{qt_set_ord},
953: @ref{qt_set_weight},
954: @ref{dp_gr_main}
1.8 takayama 955: @end table
956:
957: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
958: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
959: @noindent
960: ChangeLog
961: @itemize @bullet
1.34 ohara 962: @item -----$B$^$@=q$$$F$J$$(B.
1.8 takayama 963: @end itemize
964:
965:
1.34 ohara 966: @node nqt_comp,,, $B%/%*!<%H(B
967: @subsection @code{nqt_comp}
968: @findex nqt_comp
969:
970: @comment --- $B4X?t$N4JC1$J@bL@(B ---
971: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 972: @table @t
1.34 ohara 973: @item nqt_cmp(@var{Expr1},@var{Exprt2})
974: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
1.8 takayama 975: @end table
976:
977: @table @var
978: @item return
1.34 ohara 979: $B@0?t(B
980: @item Expr1, Expr2
981: quote$B7?(B
1.8 takayama 982: @end table
983:
984: @itemize @bullet
1.34 ohara 985: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
986: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
987: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
988: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
1.8 takayama 989: @end itemize
990:
991: @example
1.34 ohara 992: ctrl("print_quote",2);
993: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
994: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
995: $B=PNO(B: [-1,1,0]
1.8 takayama 996: @end example
997:
998: @table @t
999: @item $B;2>H(B
1.34 ohara 1000: @ref{qt_normalize},
1001: @ref{qt_set_ord},
1002: @ref{qt_set_weight}
1.8 takayama 1003: @end table
1004:
1005: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1006: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1007: @noindent
1008: ChangeLog
1009: @itemize @bullet
1.34 ohara 1010: @item $B$^$@=q$$$F$J$$(B.
1.8 takayama 1011: @end itemize
1.34 ohara 1012: @comment ****************************************************************
1.8 takayama 1013:
1.55 takayama 1014: @node qt_is_var qt_is_coef,,, $B%/%*!<%H(B
1.34 ohara 1015: @subsection @code{qt_is_var}, @code{qt_is_coef}
1016: @findex qt_is_var
1017: @findex qt_is_coef
1.9 takayama 1018:
1019: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1020: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.9 takayama 1021: @table @t
1.34 ohara 1022: @item qt_is_var(@var{Expr})
1023: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1024: @item qt_is_coef(@var{Expr})
1025: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
1.9 takayama 1026: @end table
1027:
1028: @table @var
1029: @item return
1030: $B@0?t(B
1.34 ohara 1031: @item Expr
1032: quote$B7?(B
1.9 takayama 1033: @end table
1034:
1035: @itemize @bullet
1.34 ohara 1036: @item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1037: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
1.9 takayama 1038: @end itemize
1039:
1040: @example
1.34 ohara 1041: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
1042: $B=PNO(B: [1,0]
1.9 takayama 1043: @end example
1044:
1045: @table @t
1046: @item $B;2>H(B
1.34 ohara 1047: @ref{qt_rewrite},
1048: @ref{nqt_match_rewrite}
1.9 takayama 1049: @end table
1050:
1.34 ohara 1051: @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
1052: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.9 takayama 1053: @noindent
1054: ChangeLog
1055: @itemize @bullet
1.34 ohara 1056: @item -----$B$^$@=q$$$F$J$$(B.
1.9 takayama 1057: @end itemize
1.34 ohara 1058: @comment ****************************************************************
1.8 takayama 1059:
1.34 ohara 1060: @node qt_rewrite,,, $B%/%*!<%H(B
1061: @subsection @code{qt_rewrite}
1062: @findex qt_rewrite
1.12 takayama 1063:
1064: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1065: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.12 takayama 1066: @table @t
1.34 ohara 1067: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
1068: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1.12 takayama 1069: @end table
1070:
1071: @table @var
1072: @item return
1.34 ohara 1073: quote$B7?(B
1074: @item Expr
1075: quote$B7?(B
1076: @item Rules
1077: $B%j%9%H(B
1078: @item Mode
1.12 takayama 1079: $B@0?t(B
1080: @end table
1081:
1082: @itemize @bullet
1.34 ohara 1083: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
1084: @code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B.
1085: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
1086: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
1087: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1088: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
1089: $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
1090: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
1091: @var{Pattern} $B$HF1$8=q$-J}(B.
1092: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
1093: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
1094: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
1095: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
1096: $B$5$l$F$+$i?k9T$5$l$k(B.
1.12 takayama 1097: @end itemize
1098:
1.34 ohara 1099: $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
1100: $BM?$($k$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,
1101: $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
1102: @example
1103: import("noro_rewrite.rr");
1104: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
1105: qt_rewrite(`(x-y)^2,R,2);
1106: $B=PNO(B: quote(x*x+-2*x*y+y*y)
1107: @end example
1108:
1109: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1110: @example
1111: import("noro_rewrite.rr");
1112: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
1113: quote(-Y*X)];
1114: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
1115: Rext2=[quote(X*X),quote(0)];
1116: Rext=[Rext0,Rext1,Rext2];
1117: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
1118: $B=PNO(B: 2*x*y
1119:
1120: qt_set_coef([a,b,c,d]);
1121: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
1122: $B=PNO(B: (d*a-c*b)*x*y
1123:
1124: @end example
1125:
1126: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1.12 takayama 1127: @example
1.34 ohara 1128: import("noro_rewrite.rr");
1129: qt_set_coef([a,b]);
1130: Rd1=[`d(X+Y), `d(X)+d(Y)];
1131: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
1132: Rd3=[`d(N), `qt_is_coef(N), `0];
1133: Rd4=[`d(x),`1];
1134: Rd=[Rd1,Rd2,Rd3,Rd4];
1135: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
1136: $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
1137: fctr(eval_quote(B));
1138: $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
1.12 takayama 1139: @end example
1140:
1141: @table @t
1142: @item $B;2>H(B
1.34 ohara 1143: @ref{nqt_match},
1144: @ref{nqt_match_rewrite},
1145: @ref{qt_normalize}
1.12 takayama 1146: @end table
1147:
1148: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 1149: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.12 takayama 1150: @noindent
1151: ChangeLog
1152: @itemize @bullet
1.34 ohara 1153: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
1154: $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
1155: qt $B7O$N4X?t$,3+H/$5$l$?(B.
1156: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
1157: OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
1158: OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
1159: @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 1160: @end itemize
1161:
1.34 ohara 1162: @comment ****************************************************************
1163:
1164: @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
1165: @section $BJ8;zNs=hM}(B
1.13 takayama 1166:
1.34 ohara 1167: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
1168: @node copyright,,, $BJ8;zNs=hM}(B
1169: @subsection @code{copyright}
1170: @findex copyright
1.13 takayama 1171:
1172: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1173: @table @t
1.34 ohara 1174: @item copyright()
1175: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1176: @end table
1177:
1178: @table @var
1179: @item return
1.34 ohara 1180: $BJ8;zNs(B
1.13 takayama 1181: @end table
1182:
1183: @itemize @bullet
1184: @item
1.34 ohara 1185: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1186: @end itemize
1187:
1188: @example
1.34 ohara 1189: [1150] copyright();
1190: This is Risa/Asir, Version 20040312 (Kobe Distribution).
1191: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
1192: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
1193: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
1194: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
1195: H. Cohen and M. Olivier.
1.13 takayama 1196: @end example
1197:
1.34 ohara 1198: @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 1199: @noindent
1200: ChangeLog
1201: @itemize @bullet
1.34 ohara 1202: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
1203: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
1204: parse/glob.c 1.47.
1205: @end itemize
1206:
1207:
1208:
1209: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
1210: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1211: @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
1212: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
1213: @findex string_to_tb
1214: @findex tb_to_string
1215: @findex write_to_tb
1216:
1217: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1218: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1219: @table @t
1220: @item string_to_tb(@var{s})
1221: @itemx tb_to_string(@var{tb})
1222: @itemx write_to_tb(@var{s},@var{tb})
1223: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
1224: @end table
1225:
1226: @table @var
1227: @item return
1228: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
1229: @item s
1230: $BJ8;zNs(B
1231: @item tb
1232: $BJ8;zNs2DJQD9G[Ns7?(B
1233: @end table
1234:
1235: @itemize @bullet
1236: @item
1237: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
1238: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
1239: @item
1240: @code{tb_to_string_(@var{tb})} $B$O(B,
1241: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
1242: @item
1243: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
1244: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
1245: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
1246: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
1247: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
1248: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
1249: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
1250: $B%G!<%?9=B$$G$"$k(B.
1251: @end itemize
1252:
1253: @example
1254: [219] T=string_to_tb("");
1255:
1256: [220] write_to_tb("Hello",T);
1257: 0
1258: [221] write_to_tb(" world!",T);
1259: 0
1260: [222] tb_to_string(T);
1261: Hello world!
1262: @end example
1263:
1264:
1265: @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
1266: @noindent
1267: ChangeLog
1268: @itemize @bullet
1269: @item
1270: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
1271: @item
1272: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1273: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
1274: engine/str.c 1.5, parse/quote.c 1.9.
1.13 takayama 1275: @item
1.34 ohara 1276: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
1277: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.14 takayama 1278: @end itemize
1279:
1.34 ohara 1280:
1281: @node set_print_function,,, $BJ8;zNs=hM}(B
1282: @subsection @code{set_print_function}
1283: @findex set_print_function
1.14 takayama 1284:
1285: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1286: @table @t
1.34 ohara 1287: @item set_print_function([@var{fname}])
1288: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
1.14 takayama 1289: @end table
1290:
1291: @table @var
1292: @item return
1.34 ohara 1293: $B@0?t(B
1294: @item fname
1295: $BJ8;zNs(B
1.14 takayama 1296: @end table
1297:
1298: @itemize @bullet
1.34 ohara 1299: @item
1300: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1301: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1302: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1.14 takayama 1303: @end itemize
1304:
1305: @example
1.34 ohara 1306: [219] def my_output(F) @{
1307: print("Out: ",0); print(rtostr(F));
1308: @}
1309: [220] set_print_function("my_output");
1310: Out: 0
1311: [221] 1+2;
1312: Out: 3
1.14 takayama 1313: @end example
1314:
1315: @table @t
1316: @item $B;2>H(B
1.34 ohara 1317: @ref{rtostr}
1.14 takayama 1318: @end table
1319:
1320: @noindent
1321: ChangeLog
1322: @itemize @bullet
1.34 ohara 1323: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1324: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1.12 takayama 1325: @end itemize
1.13 takayama 1326:
1.15 takayama 1327:
1.55 takayama 1328: @node printf fprintf sprintf,,, $BJ8;zNs=hM}(B
1.28 ohara 1329: @subsection @code{printf}, @code{fprintf}, @code{sprintf}
1.55 takayama 1330: @findex printf
1331: @findex fprintf
1.15 takayama 1332: @findex sprintf
1333:
1334: @table @t
1.27 ohara 1335: @item printf(@var{format}[,@var{args}])
1.28 ohara 1336: @item fprintf(@var{fd},@var{format}[,@var{args}])
1.15 takayama 1337: @item sprintf(@var{format}[,@var{args}])
1338: :: C $B$K;w$?%W%j%s%H4X?t(B
1339: @end table
1340:
1341: @table @var
1342: @item return
1.28 ohara 1343: $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
1.15 takayama 1344: @item format
1345: $BJ8;zNs(B
1.28 ohara 1346: @item fd
1347: $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
1.15 takayama 1348: @item args
1349: $B%*%V%8%'%/%H(B
1350: @end table
1351:
1352: @itemize @bullet
1353: @item
1.27 ohara 1354: @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
1.15 takayama 1355: @item
1.28 ohara 1356: @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.
1357: @item
1.27 ohara 1358: @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
1359: @item
1360: $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
1361: @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1.28 ohara 1362: @item
1363: $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
1.15 takayama 1364: @end itemize
1365:
1366: @example
1.27 ohara 1367: [0] printf("%a: rat = %a\n",10,x^2-1)$
1368: 10: rat = x^2-1
1369: [1] S=sprintf("%a: rat = %a",20,x^2-1)$
1370: [2] S;
1371: 20: rat = x^2-1
1.28 ohara 1372: [3] Fd=open_file("hoge.txt","w");
1373: 0
1374: [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
1375: [5] close_file(Fd)$
1376: [6] quit;
1377:
1378: $ cat hoge.txt
1379: Poly=x^3-3*x^2+3*x-1
1.15 takayama 1380: @end example
1381:
1382: @table @t
1383: @item $B;2>H(B
1.28 ohara 1384: @ref{rtostr},@ref{open_file},@ref{close_file}
1.15 takayama 1385: @end table
1386:
1387: @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
1388: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1389: @noindent
1390: ChangeLog
1391: @itemize @bullet
1.34 ohara 1392: @item
1.27 ohara 1393: $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1.15 takayama 1394: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
1.34 ohara 1395: @item
1.27 ohara 1396: $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
1397: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
1.34 ohara 1398: @item
1.28 ohara 1399: $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
1400: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
1.34 ohara 1401: @item
1.15 takayama 1402: @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
1403: @end itemize
1404:
1405:
1.34 ohara 1406: @node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B
1407: @section $B%0%l%V%J!<4pDl(B
1408:
1409: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1410: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1411: @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
1412: @subsection @code{dp_gr_main}
1413: @findex dp_gr_main
1.15 takayama 1414:
1.34 ohara 1415: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1416: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.15 takayama 1417: @table @t
1.34 ohara 1418: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
1419: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
1.15 takayama 1420: @end table
1421:
1422: @table @var
1423: @item return
1.34 ohara 1424: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1.15 takayama 1425: @item f
1.34 ohara 1426: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1427: @item vv
1428: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1429: @item oo
1430: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1431: @item n
1432: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
1433: @item m
1434: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
1435: @item b
1436: ???
1437: @item sw
1438: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.15 takayama 1439: @end table
1440:
1441: @itemize @bullet
1442: @item
1.34 ohara 1443: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1444: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1445: $B7OE}$@$C$F$$$J$+$C$?(B.
1446: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1447: @comment ~taka/this03/misc-2003/A2/dp
1448: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B. @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1449: @example
1450: order : '[' orderElement @{ ',' orderElement @} ']'
1451: orderElement : weightVec | builtinOrder
1452: weightVec : '[' weightElement @{ ',' weightElement @} ']'
1453: builtiniOrder : '[' orderName ',' setOfVariables ']'
1454: weightElement : NUMBER | setOfVariables ',' NUMBER
1455: setOfVariables: V | range(V,V)
1456: orderName : @@grlex | @@glex | @@lex
1457: @end example
1458: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
1459: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
1460: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
1461: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
1462: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1463: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
1464: M.Saito, B.Sturmfels, N.Takayama:
1465: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
1466: @item
1467: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
1468: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
1469: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
1470: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
1471: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
1472: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
1473: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
1474: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1475: @item
1476: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
1.15 takayama 1477: @item
1.34 ohara 1478: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
1479: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.15 takayama 1480: @item
1.34 ohara 1481: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
1482: $B2<$NNc$r;2>H(B.
1.15 takayama 1483: @end itemize
1484:
1485: @example
1.34 ohara 1486: [218] load("cyclic");
1487: [219] V=vars(cyclic(4));
1488: [c0,c1,c2,c3]
1489: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
1490: [ 10 1 0 0 ]
1491: [ 0 0 5 0 ]
1492: [ R R R R ]
1493: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
1494: (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,
1495: c0+c1+c2+c3]
1.15 takayama 1496:
1.34 ohara 1497: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
1498: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
1499: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
1500: [ 1 1 1 1 0 ]
1501: [ R R R R R ]
1502: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.15 takayama 1503:
1.34 ohara 1504: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
1505: [[v,[x,y]],[order,[[x,5,y,1]]]]
1506: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
1507: [ 5 1 ]
1508: [ R R ]
1509: [-y^4+y^2-1,x+y^3-y]
1510: @end example
1.15 takayama 1511:
1.34 ohara 1512: @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
1513: @noindent
1514: ChangeLog
1515: @itemize @bullet
1516: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
1517: @item
1518: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
1519: @item
1520: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1521: $B7OE}$@$C$F$$$J$+$C$?(B.
1522: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1523: @item
1524: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1525: builtin/gr.c 1.56--1.57,
1526: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
1527: builtin/dp.c 1.46--1.48 (parse_gr_option),
1528: engine/Fgfs.c 1.20,
1529: engine/dist.c 1.27--1.28
1530: engine/nd.c 1.89,
1531: include/ca.h 1.42--1.43,
1532: io/pexpr.c 1.28,
1533: io/sexpr.c 1.26,
1534: parse/arith.c 1.11,
1535: parse/glob.c 1.44-1.45,
1536: parse/lex.c 1.29,
1537: parse/parse.h 1.23--1.26
1538: @item
1539: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
1540: attribute, ring $B9=B$BN(B.
1541: @end itemize
1542:
1543: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1544: @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
1545: @subsection @code{dp_weyl_gr_main}
1546: @findex dp_weyl_gr_main
1547:
1548: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1549: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1550: @table @t
1551: @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})
1552: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
1553: @end table
1.15 takayama 1554:
1.34 ohara 1555: @table @var
1556: @item return
1557: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1558: @item f
1559: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1560: @item vv
1561: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1562: @item oo
1563: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1564: @item n
1565: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
1566: @item m
1567: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
1568: @item b
1569: ???
1570: @item sw
1571: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
1572: @end table
1.15 takayama 1573:
1.34 ohara 1574: @itemize @bullet
1575: @item
1576: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1577: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1578: $B7OE}$@$C$F$$$J$+$C$?(B.
1579: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1580: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
1581: @item
1582: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
1583: K[x_1, ..., x_n, d_1, ..., d_n]
1584: $B$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
1585: 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.
1586: $B$^$?(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.
1587: @item
1588: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
1589: K[x_1, ..., x_n, d_1, ..., d_n, h]
1590: $B$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
1591: d_i x_i = x_i d_i + h^2
1592: $B$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.
1593: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
1594: @end itemize
1.15 takayama 1595:
1596: @example
1.34 ohara 1597: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
1598: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
1599: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1600: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1601: ...
1602: [1238] FF=map(dp_ptod,F[0],V);
1603: [(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]
1604:
1605: [1244] FF=map(dp_ptod,F[0],V);
1606: [(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>>]
1607:
1608: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
1609:
1610: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1611: [ 0 0 0 0 1 1 1 1 ]
1612: [ R R R R R R R R ]
1613: ...
1614:
1.15 takayama 1615: @end example
1616:
1.34 ohara 1617: @table @t
1618: @item $B;2>H(B
1619: @ref{dp_gr_main}
1620: @end table
1621:
1622: @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
1623: @noindent
1624: ChangeLog
1625: @itemize @bullet
1626: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
1627: @item
1628: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1629: builtin/dp-supp.c 1.32--1.33
1630: builtin/dp.c 1.49--1.50
1631: @end itemize
1632:
1633: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
1634: @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
1635: @subsection @code{dp_initial_term}
1636: @findex dp_initial_term
1637:
1638: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1639: @table @t
1640: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
1641: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1642: @end table
1643:
1644: @table @var
1645: @item return
1646: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
1647: @item f
1648: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1649: @item vv
1650: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1651: @item oo
1652: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1653: @end table
1654:
1655: @itemize @bullet
1656: @item
1657: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1658: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
1659: $B$H=q$+$l$F$$$k(B.
1660: @item
1661: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1662: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1663: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1664: @item
1665: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
1666: @end itemize
1667:
1.19 takayama 1668: @example
1.34 ohara 1669: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1670: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1671: [1220] dp_initial_term(F | order=[[1,1,1]]);
1672: [ 1 1 1 ]
1673: [ R R R ]
1674: (1)*<<2,0,0>>+(1)*<<1,1,0>>
1675: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
1676: [ 1 0 0 ]
1677: [ R R R ]
1678: (1)*<<2,0,0>>
1.19 takayama 1679: @end example
1680:
1.15 takayama 1681: @table @t
1682: @item $B;2>H(B
1.34 ohara 1683: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
1.15 takayama 1684: @end table
1685:
1.34 ohara 1686: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.15 takayama 1687: @noindent
1688: ChangeLog
1689: @itemize @bullet
1.34 ohara 1690: @item
1691: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1692: builtin/dp-supp.c 1.32
1693: builtin/dp.c 1.49
1.17 takayama 1694: @end itemize
1695:
1.34 ohara 1696: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
1697: @node dp_order,,, $B%0%l%V%J!<4pDl(B
1698: @subsection @code{dp_order}
1699: @findex dp_order
1.17 takayama 1700:
1701: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1702: @table @t
1.34 ohara 1703: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
1704: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1.17 takayama 1705: @end table
1706:
1707: @table @var
1708: @item return
1.34 ohara 1709: $B?t$+?t$N%j%9%H(B
1710: @item f
1711: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1712: @item vv
1713: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1714: @item oo
1715: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1.17 takayama 1716: @end table
1717:
1718: @itemize @bullet
1719: @item
1.34 ohara 1720: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1721: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1722: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1723: @item
1724: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1725: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
1726: $B$H=q$/O@J8$d652J=q$b$"$k(B.
1.17 takayama 1727: @item
1.34 ohara 1728: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
1.17 takayama 1729: @end itemize
1730:
1731: @example
1.34 ohara 1732: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1733: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1734: [1222] dp_order(F | order=[[1,1,1]]);
1735: [ 1 1 1 ]
1736: [ R R R ]
1737: 2
1738: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
1739: [ 1 0 0 ]
1740: [ R R R ]
1.17 takayama 1741: @end example
1742:
1743: @table @t
1744: @item $B;2>H(B
1.34 ohara 1745: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
1.17 takayama 1746: @end table
1747:
1.34 ohara 1748: @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 1749: @noindent
1750: ChangeLog
1751: @itemize @bullet
1752: @item
1.34 ohara 1753: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1754: builtin/dp-supp.c 1.32
1755: builtin/dp.c 1.49
1.15 takayama 1756: @end itemize
1.21 takayama 1757:
1758:
1.34 ohara 1759: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
1760: @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
1761: @findex nd_gr (module)
1762: @findex nd_gr_trace (module)
1763: @findex nd_weyl_gr (module)
1764: @findex nd_weyl_gr_trace (module)
1.21 takayama 1765:
1.34 ohara 1766: @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
1.21 takayama 1767: @table @t
1.34 ohara 1768: @item nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
1769: @itemx nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1770: @item nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
1771: @itemx nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1772: :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
1.21 takayama 1773: @end table
1774:
1.34 ohara 1775: @table @var
1776: @item gen
1777: $B%j%9%H$N%j%9%H(B
1778: @item ord
1779: @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
1780: @item return
1781: $B%j%9%H$N%j%9%H(B
1782: @end table
1.21 takayama 1783:
1784: @itemize @bullet
1.34 ohara 1785: @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
1786: $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
1787: $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
1788: @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
1789: $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
1790: $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
1791: @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
1792: $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
1793: $B$G9T$&(B.
1794: @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 1795: @end itemize
1796:
1.34 ohara 1797: @example
1798: [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
1799: [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
1800: [1] nd_gr(Gen,[x,y,z],0,[0,0]);
1801: [[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,
1802: -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
1803: +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
1804: @end example
1805:
1806: @table @t
1807: @item $B;2>H(B
1808: @ref{nd_gr}, @ref{nd_gr_trace}
1809: @end table
1810:
1811: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B
1812: @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
1813: @findex nd_gr (option)
1814: @findex nd_gr_trace (option)
1815: @findex nd_weyl_gr (option)
1816: @findex nd_weyl_gr_trace (option)
1817:
1818: @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
1819:
1820: @table @t
1821: @item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1822: @itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1823: @itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1824: @itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1825: :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
1826: @end table
1827:
1828: @table @var
1829: @item opt
1830: @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
1831: @item return
1832: $B%*%W%7%g%s$K$h$j0[$J$k(B
1833: @end table
1834:
1835: @itemize @bullet
1836: @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
1837: @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
1838:
1839: @table @var
1840: @item gentrace
1841: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
1.45 takayama 1842: @item gensyz
1.34 ohara 1843: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
1844: @item nora
1845: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
1846: @end table
1847:
1848: @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
1849: @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
1850: $B<!$NDL$j$G$"$k(B.
1851: @table @var
1852: @item GB
1853: $B%0%l%V%J!<4pDl(B
1854: @item Homo
1855: $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
1856: @item Trace
1857: $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
1858: @item IntRed
1859: $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
1860: @item Ind
1861: $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
1862: @item InputRed
1863: $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1864: (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1865: @item SpairTrace
1866: $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1867: (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1868: @end table
1869: @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
1870: $B4X?t$N9`$G@bL@$9$kM=Dj(B.
1871: @end itemize
1.21 takayama 1872:
1873: @example
1.34 ohara 1874: [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
1875: [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
1876: [2] D[0];
1877: [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
1878: [3] D[2];
1879: [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
1880: [4] D[6];
1881: [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
1882: @end example
1.21 takayama 1883:
1.34 ohara 1884: @table @t
1885: @item $B;2>H(B
1886: @ref{nd_gr}, @ref{nd_gr_trace}
1887: @end table
1.21 takayama 1888:
1889:
1.34 ohara 1890: @node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B
1891: @section $B%7%9%F%`(B
1.21 takayama 1892:
1.34 ohara 1893: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1894: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.55 takayama 1895: @node asir-port.sh asir-install.sh,,, $B%7%9%F%`(B
1.34 ohara 1896: @subsection @code{asir-port.sh}, @code{asir-install.sh}
1897: @findex asir-port.sh
1898: @findex asir-install.sh
1.23 takayama 1899:
1900: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1901: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1902: @table @t
1.34 ohara 1903: @item asir-install.sh
1904: @itemx asir-port.sh
1905: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
1.23 takayama 1906: @end table
1907:
1908:
1909: @itemize @bullet
1.34 ohara 1910: @item
1911: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1912: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1913: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
1914: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
1915: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
1916: @item
1917: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
1918: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
1919: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
1.23 takayama 1920: @end itemize
1921:
1922:
1923: @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
1924: @noindent
1925: ChangeLog
1926: @itemize @bullet
1.34 ohara 1927: @item
1928: $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.
1929: @item
1930: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1931: @item
1932: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
1933: 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
1934: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
1935: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
1.23 takayama 1936: @end itemize
1937:
1938:
1.34 ohara 1939: @node asirgui.hnd,,, $B%7%9%F%`(B
1940: @subsection @code{asirgui.hnd}
1941: @findex asirgui.hnd
1.23 takayama 1942:
1943: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1944: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1945: @table @t
1.34 ohara 1946: @item asirguid.hnd
1947: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
1.23 takayama 1948: @end table
1949:
1.34 ohara 1950: @comment ****************************************************************
1.23 takayama 1951:
1952: @itemize @bullet
1.48 ohara 1953: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B $B4D6-JQ?t(B TEMP $B$G;XDj$5$l$?%U%)%k%@$K$3$N%U%!%$%k$,:n@.$5$l$k(B.
1.35 takayama 1954: @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
1.34 ohara 1955: @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B.
1.37 takayama 1956: @item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$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 1957: @end itemize
1958:
1959: @example
1.34 ohara 1960: // cl test.c user32.lib
1961:
1962: #include <windows.h>
1963: #include <stdlib.h>
1964: #include <stdio.h>
1965: #include <process.h>
1966:
1967: int main()
1968: @{
1969:
1970: HWND hnd;
1971: FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
1972: fscanf(fp,"%d",&hnd);
1973: fclose(fp);
1974: while (1) @{
1975: int c;
1976: c = getchar();
1977: if ( c == '#' ) break;
1978: PostMessage(hnd,WM_CHAR,c,1);
1979: @}
1980: return 0;
1981: @}
1.23 takayama 1982: @end example
1983:
1984: @table @t
1985: @item $B;2>H(B
1.34 ohara 1986: @ref{xyz_abc}
1.23 takayama 1987: @end table
1988:
1989: @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
1990: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1991: @noindent
1992: ChangeLog
1993: @itemize @bullet
1.34 ohara 1994: @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
1995: @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
1996: @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6
1.37 takayama 1997: @item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B.
1998: @item @code{OpenXM_contrib2/windows/winfep} 1.1
1.23 takayama 1999: @end itemize
2000:
2001:
1.34 ohara 2002: @comment ****************************************************************
2003:
1.55 takayama 2004: @node chdir pwd,,, $B%7%9%F%`(B
1.34 ohara 2005: @subsection @code{chdir}, @code{pwd}
2006: @findex chdir
2007: @findex pwd
1.23 takayama 2008:
1.34 ohara 2009: @comment --- $B%G%#%l%/%H%jA`:n(B ---
1.23 takayama 2010: @table @t
1.34 ohara 2011: @item chdir(@var{directory})
2012: @item pwd()
2013: :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
1.23 takayama 2014: @end table
2015:
2016: @table @var
2017: @item return
1.34 ohara 2018: $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
2019: @item dirctory
2020: $BJ8;zNs(B
1.23 takayama 2021: @end table
2022:
2023: @itemize @bullet
1.34 ohara 2024: @item
2025: @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
2026: @item
2027: @code{chdir} $B$O%+%l%s%H%G%#%l%/%H%j$r(B @var{directory} $B$KJQ99$9$k(B. $B@.8y$9$l$P(B 0 $B$r<:GT$9$l$P(B -1 $B$rJV$9(B.
1.23 takayama 2028: @end itemize
2029:
2030: @example
1.34 ohara 2031: [0] S=pwd();
2032: /home/ohara
2033: [1] chdir(".../taka");
2034: -1
2035: [2] chdir("/usr/bin");
2036: 0
1.23 takayama 2037: @end example
2038:
2039: @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
2040: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2041: @noindent
2042: ChangeLog
2043: @itemize @bullet
1.34 ohara 2044: @item
2045: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
2046: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
1.23 takayama 2047: @end itemize
2048:
2049:
1.34 ohara 2050: @node dcurrenttime,,, $B%7%9%F%`(B
2051: @subsection @code{dcurrenttime}
2052: @findex dcurrenttime
1.23 takayama 2053:
1.34 ohara 2054: @comment --- $B8=:_;~9o$r<hF@(B ---
1.23 takayama 2055: @table @t
1.34 ohara 2056: @item dcurrenttime()
2057: :: $B8=:_;~9o$r<hF@(B.
1.23 takayama 2058: @end table
2059:
1.34 ohara 2060: @table @var
2061: @item return
2062: $BIbF0>.?tE@?t(B
2063: @end table
1.23 takayama 2064:
2065: @itemize @bullet
1.34 ohara 2066: @item
2067: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
1.23 takayama 2068: @end itemize
2069:
2070: @example
1.34 ohara 2071: [0] ctrl("real_digit", 16);
2072: 16
2073: [1] dcurrenttime();
2074: 1226390851.34476
2075: [2] currenttime();
2076: 1226390854
1.23 takayama 2077: @end example
2078:
2079: @table @t
2080: @item $B;2>H(B
1.34 ohara 2081: @ref{currenttime}
1.23 takayama 2082: @end table
2083:
2084: @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
2085: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2086: @noindent
2087: ChangeLog
2088: @itemize @bullet
1.34 ohara 2089: @item
2090: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
2091: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
1.23 takayama 2092: @end itemize
2093:
2094:
1.47 takayama 2095: @node getpid,,, $B%7%9%F%`(B
2096: @subsection @code{getpid}
2097: @findex getpid
2098:
2099: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2100: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2101: @table @t
2102: @item getpid()
2103: @end table
2104:
2105: @table @var
2106: @item return
2107: $B@0?t(B
2108: @end table
2109:
2110: @itemize @bullet
2111: @item asir $B$N%W%m%;%9HV9f$rLa$9(B.
1.48 ohara 2112: @item $B%W%m%;%9HV9f$O(B asir, ox_asir $BEy$GFHN)$7$?%W%m%;%9$KBP$7$F%7%9%F%`Fb$G0l0U$G$"$k(B.
1.47 takayama 2113: @end itemize
2114:
2115: @example
1.48 ohara 2116: [219] getpid();
1.47 takayama 2117: 3214
2118: @end example
2119:
2120:
2121: @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
2122: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2123: @noindent
2124: ChangeLog
2125: @itemize @bullet
2126: @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.
2127: src/asir-contrib/packages/src/misc/rr 1.3,
2128: asir2000/builtin/file.c 1.28, rat.c 1.5,
2129: asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
2130: @end itemize
2131:
2132:
1.48 ohara 2133: @node loadpath,,, $B%7%9%F%`(B
2134: @subsection @code{loadpath}
2135: @findex loadpath
2136:
2137: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2138: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2139: @table @t
2140: @item ctrl(``loadpath''[,list])
2141: @end table
2142:
2143: @table @var
2144: @item list
2145: $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B
2146: @item return
2147: $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B, $B$^$?$O?t(B(list$B$,M?$($i$l$?$H$-(B)
2148: @end table
2149:
2150: @itemize @bullet
2151: @item asir $B$NAH$_9~$_4X?t(B ctrl $B$N%9%$%C%A$N$R$H$D$G$"$k(B.
2152: @item asir $B$N%m!<%I%Q%9$N=PNO$^$?$O@_Dj$r9T$&(B.
2153: @end itemize
2154:
2155: @example
2156: [0] L=ctrl("loadpath");
2157: [/home/you/OpenXM/lib/asir-contrib,/home/you/OpenXM/lib/asir,.]
2158: [1] ctrl("loadpath", cons(getenv("HOME")+"/lib",L));
2159: 0
2160: @end example
2161:
2162:
2163: @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
2164: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2165: @noindent
2166: ChangeLog
2167: @itemize @bullet
2168: @item $B$3$N4X?t$O(B 2014-5-12 $B$K%3%_%C%H$5$l$?(B.
2169: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.41) $B$G$"$k(B.
2170: @end itemize
2171:
2172:
2173: @node sysinfo,,, $B%7%9%F%`(B
2174: @subsection @code{sysinfo}
2175: @findex sysinfo
2176:
2177: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2178: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2179: @table @t
2180: @item sysinfo()
2181: @end table
2182:
2183: @table @var
2184: @item return
2185: $BJ8;zNs$N%j%9%H(B
2186: @end table
2187:
2188: @itemize @bullet
2189: @item asir $B$NF0:n$7$F$$$k%*%Z%l!<%F%#%s%0%7%9%F%`$N>pJs$rJV$9(B.
2190: @item $B%j%9%H$N3F@.J,$O(B, OS$B%?%$%W(B, $B%+!<%M%kL>(B, OS$BL>(B, CPU$B%?%$%W(B, OS$B%P!<%8%g%s(B, $B40A4$J>pJs(B, $B%m%1!<%k$G$"$k(B.
2191: @item OS$B%?%$%W$O(B unix, macosx, windows $B$N$$$:$l$+$G$"$k(B.
2192: @item unix $B$*$h$S(B macosx $B$K$*$$$F$O(B, $B%7%9%F%`%3!<%k$*$h$S(B uname $B%3%^%s%I$K$h$j>pJs$r<hF@$7$F$$$k(B.
2193: windows $B$G$O(B, GetVersionEx() $B$J$I$N(B Win32 API $B$,MQ$$$i$l$F$$$k(B.
2194: @end itemize
2195:
2196: @example
2197: [0] sysinfo();
2198: [windows,WindowsNT,Windows7,x86_64,6.1.7601,WindowsNT 6.1.7601 Windows7 Service Pack 1 x86_64,ja]
2199: @end example
2200:
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
2207: @item $B$3$N4X?t$O(B 2014-5-14 $B$K%3%_%C%H$5$l$?(B.
2208: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.42) $B$G$"$k(B.
2209: @end itemize
2210:
2211:
1.34 ohara 2212: @comment ****************************************************************
2213:
2214:
2215: @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
2216: @section $B8@8l(B
2217:
1.55 takayama 2218: @node get_struct_name get_element_names get_element_at put_element_at,,, $B8@8l(B
1.34 ohara 2219: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
2220: @findex get_struct_name
2221: @findex get_element_names
2222: @findex get_element_at
2223: @findex put_element_at
1.23 takayama 2224:
2225: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2226: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2227: @table @t
1.34 ohara 2228: @item get_struct_name(@var{s})
2229: @itemx get_element_names(@var{s})
2230: @itemx get_element_at(@var{s},@var{key})
2231: @itemx put_element_at(@var{s},@var{key},@var{obj})
2232: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
1.23 takayama 2233: @end table
2234:
2235: @table @var
2236: @item return
1.34 ohara 2237: $BJ8;zNs(B (get_struct_name),
2238: $BJ8;zNs$N%j%9%H(B (get_element_names),
2239: $B%*%V%8%'%/%H(B (get_element_at),
2240: $B%*%V%8%'%/%H(B (put_element_at)
2241: @item s
2242: $B9=B$BN(B
2243: @item key
2244: $BJ8;zNs(B
2245: @item obj
2246: $B%*%V%8%'%/%H(B
1.23 takayama 2247: @end table
2248:
2249: @itemize @bullet
1.34 ohara 2250: @item
2251: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
2252: @item
2253: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
2254: @item
2255: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
2256: @item
2257: @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 2258: @end itemize
2259:
2260: @example
1.34 ohara 2261: [219] struct point @{ x, y, color@};
2262: [220] P = newstruct(point);
2263: @{0,0,0@}
2264: [221] P->x = 10$ P->y=5$ P->color="red"$
2265: [222] get_element_names(P);
2266: [x,y,color]
2267: [223] put_element_at(P,"color","blue");
2268: blue
2269: [224] P->color;
2270: bule
1.23 takayama 2271: @end example
2272:
2273: @table @t
2274: @item $B;2>H(B
1.34 ohara 2275: @ref{newstruct}, @ref{struct}
1.23 takayama 2276: @end table
2277:
2278: @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
2279: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2280: @noindent
2281: ChangeLog
2282: @itemize @bullet
1.34 ohara 2283: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
2284: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
2285: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
1.23 takayama 2286: @end itemize
2287:
2288:
1.34 ohara 2289: @comment mapat
2290: @node mapat,,, $B8@8l(B
2291: @subsection @code{mapat}
2292: @findex mapat
1.23 takayama 2293:
2294: @table @t
1.34 ohara 2295: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
2296: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
1.23 takayama 2297: @end table
2298:
2299: @table @var
2300: @item return
1.34 ohara 2301: $B%*%V%8%'%/%H(B
2302: @item pos
2303: $B@0?t(B
2304: @item arg0, arg1, arg2, ...
2305: $B%*%V%8%'%/%H(B
1.23 takayama 2306: @end table
2307:
2308: @itemize @bullet
1.34 ohara 2309: @item
2310: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
2311: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
2312: @item
2313: @code{mapat(fname,0,A0,A1,...)} $B$O(B
2314: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
2315: @item
2316: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
1.23 takayama 2317: @end itemize
2318:
2319: @example
1.34 ohara 2320: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
2321: [2,3]
2322: [220] mapat(subst,1,x+y+z,[x,y,z],2);
2323: [y+z+2,x+z+2,x+y+2]
1.23 takayama 2324: @end example
2325:
2326: @table @t
2327: @item $B;2>H(B
1.34 ohara 2328: @ref{map}
1.23 takayama 2329: @end table
2330:
2331: @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
2332: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2333: @noindent
2334: ChangeLog
2335: @itemize @bullet
1.34 ohara 2336: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2337: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
1.23 takayama 2338: @end itemize
2339:
1.34 ohara 2340: @comment list
2341: @node list,,, $B8@8l(B
2342: @subsection @code{list}
2343: @findex list
1.23 takayama 2344:
2345: @table @t
1.34 ohara 2346: @item list([@var{arg0}, @var{arg1}, ...])
2347: :: list $B$r@8@.$9$k(B.
1.23 takayama 2348: @end table
2349:
2350: @table @var
2351: @item return
2352: $B%j%9%H(B
1.34 ohara 2353: @item arg0, arg1, arg2, ...
2354: $B%*%V%8%'%/%H(B
1.23 takayama 2355: @end table
2356:
1.34 ohara 2357: @itemize @bullet
2358: @item
2359: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
1.23 takayama 2360: @end itemize
2361:
2362: @example
1.34 ohara 2363: [219] list(1,2,3);
2364: [1,2,3]
2365: [220] list(1,2,[3,4]);
2366: [1,2,[3,4]]
1.23 takayama 2367: @end example
2368:
2369: @table @t
2370: @item $B;2>H(B
1.34 ohara 2371: @ref{cons}
1.23 takayama 2372: @end table
2373:
2374: @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
2375: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2376: @noindent
2377: ChangeLog
2378: @itemize @bullet
1.34 ohara 2379: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2380: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1.23 takayama 2381: @end itemize
2382:
2383:
1.34 ohara 2384: @node assoc,,, $B8@8l(B
2385: @subsection @code{assoc}
2386: @findex assoc
1.23 takayama 2387:
2388: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2389: @table @t
1.34 ohara 2390: @item assoc(@var{a},@var{b})
2391: :: $BO"A[%j%9%H$r$D$/$k(B
1.23 takayama 2392: @end table
2393:
2394: @table @var
2395: @item return
1.34 ohara 2396: List
2397: @item a
2398: List
2399: @item b
2400: List
1.23 takayama 2401: @end table
2402:
2403: @itemize @bullet
1.34 ohara 2404: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
2405: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
2406: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1.23 takayama 2407: @end itemize
2408:
1.34 ohara 2409: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
2410: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
2411: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
2412:
1.23 takayama 2413: @example
1.34 ohara 2414: [1192] A=["dog","cat","snake"];
2415: [dog,cat,snake]
2416: [1193] B=[4,4,0];
2417: [4,4,0]
2418: [1194] assoc(A,B);
2419: [[dog,4],[cat,4],[snake,0]]
1.23 takayama 2420: @end example
2421:
2422: @table @t
2423: @item $B;2>H(B
1.34 ohara 2424: @ref{cons}, @ref{append}
1.23 takayama 2425: @end table
2426:
2427: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2428: @noindent
2429: ChangeLog
2430: @itemize @bullet
1.34 ohara 2431: @item
2432: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
2433: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
2434: builtin/list.c 1.9
2435: parse/eval.c 1.35,
2436: parse/parse.h 1.31,
2437: parse/quote.c 1.14--1.16.
1.23 takayama 2438: @end itemize
2439:
1.34 ohara 2440:
1.55 takayama 2441: @node set_secure_flag set_secure_mode,,, $B8@8l(B
1.34 ohara 2442: @subsection @code{set_secure_flag}, @code{set_secure_mode}
2443: @findex set_secure_flag
2444: @findex set_secure_mode
1.23 takayama 2445:
2446: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2447: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2448: @table @t
1.34 ohara 2449: @item set_secure_flag(@var{fname},@var{m})
2450: @itemx set_secure_mode(@var{m})
2451: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1.23 takayama 2452: @end table
2453:
2454: @table @var
2455: @item return
2456: $B@0?t(B
1.34 ohara 2457: @item fname
2458: $BJ8;zNs(B
2459: @item m
2460: $B@0?t(B
1.23 takayama 2461: @end table
2462:
2463: @itemize @bullet
1.34 ohara 2464: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
2465: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2466: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2467: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2468: $B4X?t$7$+<B9T$G$-$J$$(B.
2469: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2470: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2471: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
2472: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
2473: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
2474: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
2475: @item
2476: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
2477: $B$K$9$k(B.
2478: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
2479: @item
2480: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
2481: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
2482: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
2483: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
2484: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
2485: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.23 takayama 2486: @end itemize
2487:
2488: @example
1.34 ohara 2489: [1194] set_secure_flag("print_input_form_",1);
2490: 1
2491: [1195] set_secure_flag("fctr",1);
2492: 1
2493: [220] set_secure_mode(1);
2494: 1
2495: [1197] fctr((x-1)^3);
2496: [[1,1],[x-1,3]]
2497: [1198] fctr(shell("ls"));
2498: evalf : shell not permitted
2499: return to toplevel
1.23 takayama 2500: @end example
2501:
2502: @table @t
2503: @item $B;2>H(B
1.34 ohara 2504: @ref{timer}
1.23 takayama 2505: @end table
2506:
2507: @noindent
2508: ChangeLog
2509: @itemize @bullet
1.34 ohara 2510: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
2511: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2512: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
2513: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2514: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2515: $B4X?t$7$+<B9T$G$-$J$$(B.
2516: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2517: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2518: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
2519: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
2520: $BMxMQ$9$k(B.
2521: cgi-asir.sh $B$G$O(B
2522: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
2523: @item
2524: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
2525: @item
2526: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
2527: @item
2528: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
2529: @item
2530: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.23 takayama 2531: @end itemize
2532:
1.34 ohara 2533: @node initialize_static_variable,,, $B8@8l(B
2534: @subsection @code{initialize_static_variable}
2535: @findex initialize_static_variable
2536:
1.23 takayama 2537:
1.34 ohara 2538: @comment --- $B@bL@(B ---
1.23 takayama 2539: @table @t
1.34 ohara 2540: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.23 takayama 2541: @end table
2542:
2543:
2544: @itemize @bullet
1.34 ohara 2545: @item static $BJQ?t$N<h07(B.
2546: $B2<$NNc$r;2>H$N$3$H(B.
1.23 takayama 2547: @end itemize
2548:
1.34 ohara 2549:
1.23 takayama 2550: @example
1.34 ohara 2551: if (1) @{
2552: module abc;
2553: static A;
2554: A=1;
2555: endmodule;
2556: @} else @{ @};
1.23 takayama 2557:
1.34 ohara 2558: end$
2559: $B$r(B t.rr $B$H$9$k$H$-(B,
1.23 takayama 2560:
1.34 ohara 2561: [6] load("./t.rr");
2562: 1
2563: internal error (SEGV)
2564: $B$H$J$k(B.
1.23 takayama 2565:
1.34 ohara 2566: t.rr $B$r(B
2567: if (1) @{
2568: module abc;
2569: static A;
2570: localf initA;
2571: localf foo;
2572: def initA() @{
2573: A=1;
2574: @}
2575: initA();
2576: def foo() @{
2577: return A;
2578: @}
2579: endmodule;
2580: @} else @{ @};
1.23 takayama 2581:
1.34 ohara 2582: end$
2583: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1.23 takayama 2584: @end example
2585:
1.34 ohara 2586: @comment --- ChangeLog
1.23 takayama 2587: @noindent
2588: ChangeLog
2589: @itemize @bullet
1.34 ohara 2590: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
2591: @item oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
2592: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1.23 takayama 2593: @end itemize
1.34 ohara 2594:
1.23 takayama 2595: @comment ****************************************************************
1.13 takayama 2596:
1.56 takayama 2597: @node function,,, $B8@8l(B
2598: @subsection @code{function}
2599: @findex function
2600:
2601: @table @t
2602: @item function $B@k8@$9$k$3$H$K$h$jH!?t7A<0$NITDj85$r@8@.$G$-$k(B.
2603: @end table
2604:
2605: @comment --- $B@bL@(B ---
2606: @table @t
2607: @item function $B@k8@$9$k$3$H$K$h$jH!?t7A<0$NITDj85$r@8@.$G$-$k(B.
2608: @item $BHyJ,H!?t(B diff $B$O$3$NH!?t7A<0$NITDj85$NHyJ,$r$d$O$jH!?t7A<0$NITDj85$H$7$F@8@.$9$k(B.
2609: $B$?$H$($P(B f@{1,2@}(x,y) $B$O(B f $B$r(B x $B$K$D$$$F0l3,JPHyJ,(B, y $B$K$D$$$F(B 2$B3,JPHyJ,$7$?$b$N(B.
2610: @item diff $B$O9g@.4X?t$H$7$F$N=hM}$b9T$&(B.
2611: @end table
2612:
2613:
2614: @example
2615: [1915] function f(x,y);
2616: [1916] F=f(f(x,y),y)$
2617: [1917] diff(F,y);
2618: f@{1,0@}(f(x,y),y)*f@{0,1@}(x,y)+f@{0,1@}(f(x,y),y)
2619: [1918] vtype(f(p,q));
2620: 2
2621: [1919] deg(diff(F,y),f@{0,1@}(x,y));
2622: 1
2623: @end example
2624:
2625: @xref{vtype}
2626: @xref{diff}
2627:
2628: @comment --- ChangeLog
2629: @noindent
2630: ChangeLog
2631: @itemize @bullet
2632: @item $B$$$D$N(B commit $B$GF3F~$5$l$?$+ITL@(B.
2633: @end itemize
2634:
2635: @comment ****************************************************************
2636:
1.34 ohara 2637: @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
2638: @section $B?tO@!&Be?t(B
2639:
1.24 takayama 2640:
1.34 ohara 2641: @node small_jacobi,,, $B?tO@!&Be?t(B
2642: @subsection @code{small_jacobi}
2643: @findex small_jacobi
1.24 takayama 2644:
2645: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2646: @table @t
1.34 ohara 2647: @item small_jacobi(@var{a},@var{m})
2648: :: Jacobi $B5-9f$N7W;;(B
1.24 takayama 2649: @end table
2650:
1.34 ohara 2651: @table @var
2652: @item return
2653: $B@0?t(B
2654: @item arg1, arg2
2655: $B@0?t(B
2656: @end table
1.24 takayama 2657:
2658: @itemize @bullet
1.34 ohara 2659: @item
2660: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
2661: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
2662: @item
2663: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
2664: @item
2665: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1.24 takayama 2666: @end itemize
2667:
2668: @example
1.34 ohara 2669: [1286] small_jacobi(2,3);
2670: -1
2671: [1287] small_jacobi(2,7);
2672: 1
1.24 takayama 2673: @end example
2674:
2675: @table @t
2676: @item $B;2>H(B
1.34 ohara 2677: http://members.jcom.home.ne.jp/yokolabo/asirlib/
2678: $B$b8+$F$M(B.
1.24 takayama 2679: @end table
2680:
2681: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2682: @noindent
2683: ChangeLog
2684: @itemize @bullet
1.34 ohara 2685: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1.24 takayama 2686: @end itemize
2687:
1.34 ohara 2688:
2689: @node noro_matrix.rr,,, $B?tO@!&Be?t(B
1.25 takayama 2690: @subsection @code{noro_matrix.rr}
2691: @findex noro_matrix.rr
2692:
2693: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2694: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2695: @table @t
2696: @item linalg.unit_mat(@var{arg1})
2697: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
2698: @item linalg.minipoly_mat(@var{arg1})
2699: @item linalg.compute_kernel(@var{arg1})
2700: @item linalg.compute_image(@var{arg1})
2701: @item linalg.jordan_canonical_form(@var{arg1})
2702: @end table
2703:
2704:
2705: @itemize @bullet
2706: @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.
2707: @end itemize
2708:
2709: @example
2710: load("noro_matrix.rr");
2711: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
2712: B=linalg.jordan_canonical_form(A);
2713: @end example
2714:
2715: @table @t
2716: @item $B;2>H(B
2717: @ref{invmat}
2718: @end table
2719:
2720: @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
2721: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2722: @noindent
2723: ChangeLog
2724: @itemize @bullet
2725: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
2726: @item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
2727: @end itemize
2728:
2729:
1.34 ohara 2730: @node f_res,,, $B?tO@!&Be?t(B
1.26 takayama 2731: @subsection @code{f_res}
2732: @findex f_res
1.25 takayama 2733:
2734: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2735: @table @t
1.26 takayama 2736: @item f_res
1.25 takayama 2737: @end table
2738:
2739:
2740: @itemize @bullet
1.26 takayama 2741: @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 2742: @end itemize
2743:
2744: @table @t
2745: @item $B;2>H(B
2746: @ref{}
2747: @end table
2748:
2749: @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
2750: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2751: @noindent
2752: ChangeLog
2753: @itemize @bullet
2754: @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 2755: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25 takayama 2756: @end itemize
2757:
2758:
1.34 ohara 2759: @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
2760: @section D $B2C72$N@)8B$K4X$9$k4X?t(B
1.27 ohara 2761:
2762:
1.34 ohara 2763: @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2764: @subsection @code{nk_restriction.restriction}
2765: @comment --- $B:w0zMQ%-!<%o!<%I(B
2766: @findex nk_restriction.restriction
2767:
2768: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2769: @table @t
1.34 ohara 2770: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2771: :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B,
2772: $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
1.29 nakayama 2773: @end table
2774:
2775: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2776: @table @var
2777: @item Id
2778: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2779: @item VL
2780: $BJQ?t$N%j%9%H(B
2781: @item DVL
2782: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2783: @item W
2784: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2785: @end table
2786:
2787: @itemize @bullet
2788: @item
1.52 nakayama 2789: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2790: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2791: @item
1.52 nakayama 2792: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
2793: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2794: x,y $B$K$D$$$F@)8B$r9T$&(B.
1.29 nakayama 2795: @end itemize
2796:
1.52 nakayama 2797: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2798: @iftex
1.29 nakayama 2799: @tex
1.34 ohara 2800: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2801: @end tex
1.52 nakayama 2802: $B$H$*$$$?;~(B, D $B2C72(B
2803: @tex $M = D / I$ @end tex
2804: $B$N(B
2805: @tex $x$ @end tex
1.34 ohara 2806: @end iftex
2807: @ifinfo
1.52 nakayama 2808: I = D . @{ x dx -1, y dy - 1 @} $B$H$*$$$?;~(B,
2809: D $B2C72(B M = D / I $B$N(B x
1.34 ohara 2810: @end ifinfo
1.52 nakayama 2811: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
1.29 nakayama 2812: @example
2813: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2814: -- generic_bfct_and_gr :0.001sec(0.001629sec)
2815: generic bfct : [[1,1],[s-1,1]]
2816: S0 : 1
1.33 ohara 2817: B_@{S0@} length : 2
1.29 nakayama 2818: -- fctr(BF) + base :0.000999sec(0.0005109sec)
2819: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
2820: @end example
1.51 nakayama 2821: $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
2822: $B@)8B2C72$N4pDl(B
1.52 nakayama 2823: @iftex
1.51 nakayama 2824: @tex $\partial_x^1, \partial_x^0$ @end tex
2825: $B$r0UL#$7(B,
2826: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
2827: @tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex
1.52 nakayama 2828: @end iftex
2829: @ifinfo
2830: dx^1, dx^0
2831: $B$r0UL#$7(B,
2832: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
2833: (y dy - 1, 0), (0, ydy-1), (-1,0)
2834: @end ifinfo
1.51 nakayama 2835: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.29 nakayama 2836:
2837: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2838: @subsection @code{nk_restriction.restriction_ideal}
2839: @comment --- $B:w0zMQ%-!<%o!<%I(B
2840: @findex nk_restriction.restriction_ideal
2841:
2842: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2843: @table @t
1.34 ohara 2844: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2845: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9(B.
1.29 nakayama 2846: @end table
2847:
2848: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2849: @table @var
2850: @item Id
2851: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2852: @item VL
2853: $BJQ?t$N%j%9%H(B
2854: @item DVL
2855: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2856: @item W
2857: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2858: @end table
2859:
2860: @itemize @bullet
2861: @item
1.52 nakayama 2862: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2863: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2864: @item
1.52 nakayama 2865: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
2866: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2867: x,y $B$K$D$$$F@)8B$r9T$&(B.
1.29 nakayama 2868: @end itemize
2869:
1.52 nakayama 2870: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2871: @iftex
1.52 nakayama 2872: @tex $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ @end tex
1.29 nakayama 2873: $B$N(B
1.52 nakayama 2874: @tex $x$ @end tex
1.34 ohara 2875: @end iftex
2876: @ifinfo
2877: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2878: @end ifinfo
1.29 nakayama 2879: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
2880: @example
2881: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2882: -- generic_bfct_and_gr :0.002sec(0.001652sec)
2883: generic bfct : [[1,1],[s-1,1]]
2884: S0 : 1
1.33 ohara 2885: B_@{S0@} length : 2
1.29 nakayama 2886: -- fctr(BF) + base :0sec(0.000566sec)
2887: -- restriction_ideal_internal :0.001sec(0.0007441sec)
2888: [-1]
2889: @end example
2890:
1.34 ohara 2891: @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2892: @subsection @code{nk_restriction.integration}
2893: @comment --- $B:w0zMQ%-!<%o!<%I(B
2894: @findex nk_restriction.integration
2895:
2896: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2897: @table @t
1.34 ohara 2898: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2899: :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
1.29 nakayama 2900: @end table
2901:
2902: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2903: @table @var
2904: @item Id
2905: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2906: @item VL
2907: $BJQ?t$N%j%9%H(B
2908: @item DVL
2909: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2910: @item W
2911: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2912: @end table
2913:
2914: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2915: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2916: @comment --- @bullet $B$O9uE@IU$-(B ---
2917: @itemize @bullet
2918: @item
1.52 nakayama 2919: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2920: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2921: @item
1.52 nakayama 2922: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
2923: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2924: x,y $B$K$D$$$F@QJ,$r9T$&(B.
1.29 nakayama 2925: @end itemize
2926:
1.52 nakayama 2927: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2928: @iftex
1.52 nakayama 2929: @tex $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\}$ @end tex
2930: $B$H$*$$$?;~(B, D $B2C72(B
2931: @tex $M = D / I$ @end tex
2932: $B$N(B
2933: @tex $t$ @end tex
1.34 ohara 2934: @end iftex
2935: @ifinfo
1.52 nakayama 2936: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @}
2937: $B$H$*$$$?;~(B, D $B2C72(B M = D / I $B$N(B t
1.34 ohara 2938: @end ifinfo
1.52 nakayama 2939: $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
1.29 nakayama 2940: @example
2941: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
2942: [dt,dx],[1,0]);
2943: -- generic_bfct_and_gr :0.001sec(0.001796sec)
2944: generic bfct : [[1,1],[s,1],[s-1,1]]
2945: S0 : 1
1.33 ohara 2946: B_@{S0@} length : 2
1.29 nakayama 2947: -- fctr(BF) + base :0.001sec(0.0006731sec)
2948: [[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]]]
2949: @end example
1.51 nakayama 2950: $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
2951: $B@QJ,2C72$N4pDl(B
1.52 nakayama 2952: @iftex
1.51 nakayama 2953: @tex $t^1, t^0$ @end tex
1.52 nakayama 2954: @end iftex
2955: @ifinfo
2956: t^1, t^0
2957: @end ifinfo
1.51 nakayama 2958: $B$r0UL#$7(B,
2959: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B
1.52 nakayama 2960: @iftex
1.51 nakayama 2961: @tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x),
2962: (0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex
1.52 nakayama 2963: @end iftex
2964: @ifinfo
2965: (4 x dx^2 + 6 dx, 0), (0, -4 x dx^2 - 6 dx),
2966: (0, -2 x dx), (0, 2 dx)
2967: @end ifinfo
1.51 nakayama 2968: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.29 nakayama 2969:
1.34 ohara 2970: @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2971: @subsection @code{nk_restriction.integration_ideal}
2972: @comment --- $B:w0zMQ%-!<%o!<%I(B
2973: @findex nk_restriction.integration_ideal
2974:
2975: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2976: @table @t
1.34 ohara 2977: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2978: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9(B.
1.29 nakayama 2979: @end table
2980:
2981: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2982: @table @var
2983: @item Id
2984: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2985: @item VL
2986: $BJQ?t$N%j%9%H(B
2987: @item DVL
2988: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2989: @item W
2990: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2991: @end table
2992:
2993: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2994: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2995: @comment --- @bullet $B$O9uE@IU$-(B ---
2996: @itemize @bullet
2997: @item
1.52 nakayama 2998: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2999: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,(B, @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 3000: @item
1.52 nakayama 3001: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
3002: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
3003: x,y $B$K$D$$$F@QJ,$r9T$&(B.
1.29 nakayama 3004: @end itemize
3005:
1.52 nakayama 3006: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 3007: @iftex
3008: @tex
1.29 nakayama 3009: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 3010: @end tex
1.29 nakayama 3011: $B$N(B
1.52 nakayama 3012: @tex $t$ @end tex
1.34 ohara 3013: @end iftex
3014: @ifinfo
3015: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
3016: @end ifinfo
1.52 nakayama 3017: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
1.29 nakayama 3018: @example
3019: [1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
3020: [dt,dx],[1,0]);
3021: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
3022: generic bfct : [[1,1],[s,1],[s-1,1]]
3023: S0 : 1
1.33 ohara 3024: B_@{S0@} length : 2
1.29 nakayama 3025: -- fctr(BF) + base :0.001sec(0.001091sec)
3026: -- integration_ideal_internal :0.002sec(0.001879sec)
3027: [2*x*dx+1]
3028: @end example
3029:
1.42 nisiyama 3030: @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
3031: @subsection @code{nk_restriction.ann_mul}
3032: @comment --- $B:w0zMQ%-!<%o!<%I(B
3033: @findex nk_restriction.ann_mul
3034:
3035: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3036: @table @t
3037: @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
3038: :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
3039: @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
3040: @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
3041: @end table
3042:
3043: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3044: @table @var
3045: @item I
3046: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3047: @item J
3048: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3049: @item VL
3050: $BJQ?t$N%j%9%H(B
3051: @item DVL
3052: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3053: @end table
3054:
3055: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3056: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3057: @comment --- @bullet $B$O9uE@IU$-(B ---
3058: @itemize @bullet
3059: @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
3060: @end itemize
3061:
3062:
3063: @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
1.36 nisiyama 3064: @subsection @code{nk_restriction (option)}
3065: @comment --- $B:w0zMQ%-!<%o!<%I(B
3066: @findex nk_restriction (option)
3067:
3068: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3069: @table @t
3070: @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 3071: @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 3072: @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 3073: @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 3074: :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
3075: @end table
3076:
3077: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3078: @table @var
3079: @item @var{n}
3080: 0 $B$^$?$O(B 1
3081: @item @var{p}
3082: $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
3083: @item @var{m}
3084: $B@0?t(B
1.39 nisiyama 3085: @item @var{b}
3086: 0, 1, 2, 3 $B$N$$$:$l$+(B
3087: @item @var{ord}
3088: $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
1.36 nisiyama 3089: @end table
3090:
3091: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3092: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3093: @comment --- @bullet $B$O9uE@IU$-(B ---
3094: @itemize @bullet
3095: @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
3096:
3097: restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
3098: @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
3099:
3100: @iftex
3101: @tex
3102: {\tt J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1])} $\in$ {\tt I}
3103: @end tex
3104: @end iftex
3105: @ifinfo
3106: J[K]-(1/IH[K][1])(IH[K][0][0][0]IH[K][0][0][1]+...+IH[K][0][M][0]IH[K][0][M][1]) \in I
3107: @end ifinfo
3108:
3109: $B$rK~$?$9Hs@F<!ItJ,$r9=@.$9$k>pJs(B @code{IH} $B$H$N%Z%"(B @code{[J,IH]} $B$r=PNO$9$k(B.
3110: $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
3111: $B%3%a%s%H$r;2>H(B.
3112:
3113: restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
3114: restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
3115: $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
3116:
3117: @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.
3118: $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
3119: $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
3120: $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
3121:
3122: @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
3123: $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
3124: @var{param} $B$K6u%j%9%H$r;XDj$9$k$3$H$G(B, b-$B4X?t$N7W;;J}K!$N%U%i%0$H$7$F$b(B
3125: $BMxMQ$G$-$k(B.
3126:
3127: @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
3128: $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
1.39 nisiyama 3129:
3130: @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
3131: $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
3132: $B$?$@$7(B, $B@F<!2=$"$j$G7W;;$G$-$k$N$O(B Risa/Asir $B%P!<%8%g%s(B 20100415 $B0J9_$G$"$k(B.
3133:
3134: 0: $B@F<!2=$J$7(B, trace $B$J$7(B
3135:
3136: 1: $B@F<!2=$J$7(B, trace $B$"$j(B
3137:
3138: 2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
3139:
3140: 3: $B@F<!2=$"$j(B, trace $B$"$j(B
3141:
3142: @item @var{ord} $B$,;XDj$5$l$k$H(B, $B=PNO$N@QJ,(B, $B@)8B%$%G%"%k$O(B, $B$=$N9`=g=x$K(B
3143: $B4X$9$k%0%l%V%J4pDl$H$J$k(B. $B2C72$N%0%l%V%J4pDl7W;;$N(B POT $B=g=x$N(B tie breaker
3144: $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
3145: $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
3146:
3147: $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
1.36 nisiyama 3148: @end itemize
3149:
3150: $B0J2<$O(B,
3151: @iftex
3152: @tex
3153: $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
3154: @end tex
3155: $B$N(B annihilator
3156: @tex
3157: $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
3158: \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
3159: (xt-1) \partial_x+at \}$
3160: @end tex
3161: $B$N(B
3162: @tex
3163: $t$
3164: @end tex
3165: $B$K$D$$$F$N@QJ,%$%G%"%k(B
3166: @tex
3167: $J$
3168: @end tex
3169: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3170: @end iftex
3171: @ifinfo
1.56 takayama 3172: t^@{b-1@} (1-t)^@{c-b-1@} (1-xt)^@{-a@}
1.36 nisiyama 3173: $B$N(B annihilator
3174: I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
3175: (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
3176: $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
3177: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3178: @end ifinfo
3179: @example
3180: [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
3181: [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
3182: [(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]
3183: [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
3184: -- nd_weyl_gr :0sec(0.001875sec)
3185: -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
3186: -- generic_bfct_and_gr :0.008001sec(0.006181sec)
3187: generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
3188: S0 : 0
1.56 takayama 3189: B_@{S0@} length : 1
1.36 nisiyama 3190: -- fctr(BF) + base :0sec(0.003848sec)
3191: -- integration_ideal_internal :0sec(0.07707sec)
3192: [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
3193: @end example
3194: @iftex
3195: $B$3$N=PNO$O(B
3196: @tex
3197: $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
3198: - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
3199: @end tex
3200: $B$G$"$k$3$H$r0UL#$9$k(B.
3201: @end iftex
3202: @ifinfo
3203: $B$3$N=PNO$O(B
3204: @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
3205: $B$G$"$k$3$H$r0UL#$9$k(B.
3206: @end ifinfo
3207:
1.42 nisiyama 3208: @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
1.39 nisiyama 3209: @subsection @code{nk_restriction.trans_inhomo}
3210: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.42 nisiyama 3211: @findex nk_restriction.trans_inhomo
1.39 nisiyama 3212:
3213: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3214: @table @t
3215: @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
3216: :: 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
3217: @end table
3218:
3219: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3220: @table @var
3221: @item P
3222: $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
3223: @item INT
3224: nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
3225:
3226: nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
3227: @item VL
3228: $BJQ?t$N%j%9%H(B
3229: @item DVL
3230: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3231: @item W
3232: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3233: @end table
3234:
3235: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3236: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3237: @comment --- @bullet $B$O9uE@IU$-(B ---
3238: @itemize @bullet
3239: @item @var{VL}, @var{DVL}, @var{W} $B$O(B @var{INT} $B$N7W;;$KMQ$$$?$b$N$r$=$N$^$^;HMQ$7$J$1$l$P$J$i$J$$(B.
3240: @item $B$b$7(B, @var{P} $B$,(B @var{INT[0]} $B$G@8@.$5$l$k@QJ,(B, $B@)8B%$%G%"%k$N85$G$J$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
3241: @end itemize
3242:
1.42 nisiyama 3243: @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
3244: @subsection @code{nk_restriction.ost_integration_ideal}
3245: @comment --- $B:w0zMQ%-!<%o!<%I(B
3246: @findex nk_restriction.ost_integration_ideal
3247:
3248: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3249: $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
1.43 nisiyama 3250: $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
1.42 nisiyama 3251: @table @t
3252: @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3253: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
3254: @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3255: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
3256: @end table
3257:
3258: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3259: @table @var
3260: @item Id
3261: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3262: @item VL
3263: $BJQ?t$N%j%9%H(B
3264: @item DVL
3265: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3266: @item W
3267: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3268: @item LB
3269: $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
3270: @item UB
3271: $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
3272: @end table
3273:
3274: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3275: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3276: @comment --- @bullet $B$O9uE@IU$-(B ---
3277: @itemize @bullet
3278: @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B.
3279: @end itemize
3280:
1.43 nisiyama 3281: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
1.42 nisiyama 3282: @iftex
3283: @tex
3284: $ \int_0^\infty \exp((-t^3+t)x) dt $
3285: @end tex
1.44 nisiyama 3286: $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
1.42 nisiyama 3287: @tex
3288: $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
3289: @end tex
3290: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3291: @end iftex
3292: @ifinfo
3293: \int_0^$B!g(B exp((-t^3+t)x) dt
3294: $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3295: I = < dt +(3t^2-1)x, dx+t^3-t >
3296: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3297: @end ifinfo
3298: @example
3299: [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
3300: [1872] VL=[t,x]$
3301: [1873] DVL=[dt,dx]$
3302: [1874] W=[1,0]$
3303: [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
3304: -- nd_weyl_gr :0.008sec(0.006768sec)
3305: -- weyl_minipoly :0.004001sec(0.003029sec)
3306: -- generic_bfct_and_gr :0.012sec(0.0129sec)
3307: generic bfct : [[1,1],[s,1],[s-2,1]]
3308: S0 : 2
1.56 takayama 3309: B_@{S0@} length : 3
1.42 nisiyama 3310: -- fctr(BF) + base :0.008sec(0.007395sec)
3311: -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
3312: [-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]
3313:
3314:
3315: [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
3316: ($BN,(B)
3317: [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]
3318: @end example
3319: $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
3320:
1.44 nisiyama 3321: @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
3322: @subsection @code{nk_restriction.ost_sum}
3323: @comment --- $B:w0zMQ%-!<%o!<%I(B
3324: @findex nk_restriction.ost_sum
3325:
3326: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3327: @table @t
3328: @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
3329: :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
3330: @end table
3331:
3332: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3333: @table @var
3334: @item Id
3335: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3336: @item VL
3337: $BJQ?t$N%j%9%H(B
3338: @item DVL
3339: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
3340: @item W
3341: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3342: @end table
3343:
3344: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3345: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3346: @comment --- @bullet $B$O9uE@IU$-(B ---
3347: @itemize @bullet
3348: @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
3349: @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
3350: @end itemize
3351:
3352: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
3353: @iftex
3354: @tex
3355: $ \sum_{k=a}^b {n \choose k} $
3356: @end tex
3357: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3358: @tex
3359: $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
3360: @end tex
3361: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3362: @end iftex
3363: @ifinfo
1.56 takayama 3364: \sum_@{k=a@}^b n_C_k
1.44 nisiyama 3365: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3366: I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
3367: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3368: @end ifinfo
3369: @example
3370: [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
3371: [1872] VL=[k,n]$
3372: [1873] DVL=[ek,en]$
3373: [1874] W=[1,0]$
3374: [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
3375: -- nd_weyl_gr :0.006667sec(0.004057sec)
3376: -- weyl_minipoly :0sec(0.001163sec)
3377: -- generic_bfct_and_gr :0.01sec(0.007085sec)
3378: generic bfct : [[1,1],[s,1]]
3379: S0 : 0
1.56 takayama 3380: B_@{S0@} length : 1
1.44 nisiyama 3381: -- fctr(BF) + base :0.003333sec(0.001785sec)
3382: -- restriction_ideal_internal :0sec(0.002336sec)
3383: [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
3384: @end example
3385:
1.53 nakayama 3386: @node nk_restriction.module_restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.51 nakayama 3387: @subsection @code{nk_restriction.module_restriction}
3388: @comment --- $B:w0zMQ%-!<%o!<%I(B
3389: @findex nk_restriction.module_restriction
3390:
3391: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3392: @table @t
3393: @item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 3394: :: D $B2C72(B D^r/@var{M} (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
1.51 nakayama 3395: @end table
3396:
3397: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3398: @table @var
1.52 nakayama 3399: @item M
3400: D $B<+M32C72(B D^r $B$NItJ,2C72(B
1.51 nakayama 3401: @item VL
3402: $BJQ?t$N%j%9%H(B
3403: @item DVL
3404: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3405: @item W
3406: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3407: @end table
3408:
3409: @itemize @bullet
3410: @item
3411: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
3412: @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
3413: $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
3414: @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
3415: @item
3416: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
3417: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
3418: x $B$K$D$$$F@)8B$r9T$&(B.
3419: @end itemize
3420:
1.52 nakayama 3421: $B0J2<$O(B, D $B<+M32C72(B
1.51 nakayama 3422: @iftex
1.52 nakayama 3423: @tex $D^2$ @end tex
3424: $B$NItJ,2C72(B
1.51 nakayama 3425: @tex
3426: $M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$
3427: @end tex
1.52 nakayama 3428: $B$r$H$j(B, D $B2C72(B
3429: @tex $D^2 / M$ @end tex
3430: $B$N(B
3431: @tex $x$ @end tex
3432: @end iftex
1.51 nakayama 3433: @ifinfo
1.52 nakayama 3434: D^2 $B$NItJ,2C72(B M = D . @{ (dx, dy), (dy, dx), (x, y) @}
3435: $B$r$H$j(B, D $B2C72(B D^2 / M $B$N(B x
1.51 nakayama 3436: @end ifinfo
1.52 nakayama 3437: $B$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
1.51 nakayama 3438: @example
3439: [2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]);
3440: ....
3441: bfunction :
3442: s
3443: [[1,1],[s,1]]
3444: integer roots :
3445: [0,0]
3446: Generators:
3447: [e1,e2]
3448: Relations:
3449: [-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1]
3450: [[0,-1],[-dy^2,0],[y*dy-1,0]]
3451: @end example
3452: $B@)8B2C72$O(B
1.52 nakayama 3453: @iftex
1.51 nakayama 3454: @tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex
1.52 nakayama 3455: @end iftex
3456: @ifinfo
3457: (0, -1), (-dy^2, 0), (y, dy-1, 0)
3458: @end ifinfo
1.51 nakayama 3459: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
3460:
1.53 nakayama 3461: @node nk_restriction.module_integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.51 nakayama 3462: @subsection @code{nk_restriction.module_integration}
3463: @comment --- $B:w0zMQ%-!<%o!<%I(B
3464: @findex nk_restriction.module_integration
3465:
3466: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3467: @table @t
3468: @item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 3469: :: D $B2C72(B D^r/M (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
1.51 nakayama 3470: @end table
3471:
3472: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3473: @table @var
1.52 nakayama 3474: @item M
3475: D $B<+M32C72(B D^r $B$NItJ,2C72(B
1.51 nakayama 3476: @item VL
3477: $BJQ?t$N%j%9%H(B
3478: @item DVL
3479: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3480: @item W
3481: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3482: @end table
3483:
3484: @itemize @bullet
3485: @item
3486: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
3487: @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
3488: $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
3489: @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
3490: @item
3491: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
3492: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
3493: x $B$K$D$$$F@QJ,$r9T$&(B.
3494: @end itemize
3495:
1.52 nakayama 3496: $B0J2<$O(B, D $B<+M32C72(B
1.51 nakayama 3497: @iftex
1.52 nakayama 3498: @tex $D^2$ @end tex
3499: $B$NItJ,2C72(B
3500: @tex $M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ @end tex
3501: $B$r$H$j(B, D $B2C72(B
3502: @tex $D^2/M$ @end tex
1.51 nakayama 3503: $B$N(B
1.52 nakayama 3504: @tex $x$ @end tex
3505: @end iftex
1.51 nakayama 3506: @ifinfo
1.52 nakayama 3507: D^2 $B$NItJ,2C72(B M = D . @{ (x, y), (y, x), (dx, dy) @} $B$r$H$j(B,
3508: D $B2C72(B D^2 / M $B$N(B x
1.51 nakayama 3509: @end ifinfo
1.52 nakayama 3510: $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B.
1.51 nakayama 3511: @example
3512: [2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]);
3513: ...
3514: bfunction :
3515: s
3516: [[1,1],[s,1]]
3517: integer roots :
3518: [0,0]
3519: Generators:
3520: [e1,e2]
3521: Relations:
3522: [-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1]
3523: [[0,-1],[y*dy+2,0],[-y^2,0]]
3524: @end example
3525: $B@QJ,2C72$O(B
1.52 nakayama 3526: @iftex
1.51 nakayama 3527: @tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex
1.52 nakayama 3528: @end iftex
3529: @ifinfo
3530: (0, -1), (y dy + 2, 0), (-y^2, 0)
3531: @end ifinfo
1.51 nakayama 3532: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.44 nisiyama 3533:
1.30 takayama 3534: @noindent
3535: ChangeLog
3536: @itemize @bullet
3537: @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
1.39 nisiyama 3538: @item 2010-02-05 $B$K(B 3 $B$D$N(B option (@code{inhomo}, @code{param}, @code{s0}) $B$,DI2C$5$l$?(B. 1.7--1.9 $B$r8+$h(B.
3539: @item 2010-05 $B$+$i(B 2010-07 $B$K$+$1$F(B 2 $B$D$N(B option (@code{ht}, @code{ord}) $B$H(B
3540: $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
1.44 nisiyama 3541: @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
1.51 nakayama 3542: @item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(B.
1.30 takayama 3543: @end itemize
3544:
1.37 takayama 3545: @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
3546: @section $B$=$NB>(B($BL$J,N`(B)
3547:
3548: @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
3549: @subsection @code{tk_pfn.rkn}
3550: @findex tk_pfn.rkn
3551:
3552: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3553: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3554: @table @t
3555: @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
3556: :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
3557: @end table
3558:
3559: @table @var
3560: @item return
3561: $B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B
3562: @item F, X, Y, Xs, Ys, Ht, H
3563: @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
3564: @var{X} $B$OFHN)JQ?t%j%9%H(B.
3565: @var{Y} $B$O=>B0JQ?t%j%9%H(B.
3566: @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
3567: @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
3568: @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
3569: @var{H} $B$OHy>/?t(B.
3570: @end table
3571:
3572: @itemize @bullet
3573: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
3574: @item $BG$0U$N(B holonomic system $B$O(B Pfaffian $BJ}Dx<0$KJQ49$G$-$k(B ([SST, Chap 1]).$B!!JQ49$K$O(B yang.rr $B%Q%C%1!<%8$rMQ$$$k(B.
3575: @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$$$F2r$r7W;;$7$F$b$=$N2r$O56J*$G$"$k(B.
3576: @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
3577: @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
3578: @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.
3579: @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.
3580: @item $B;29M(B. taka_runge_kutta.rr, yang.rr
3581: @end itemize
3582:
3583: @example
3584: [1355] import("tk_pfn.rr");
3585: [1590] tk_pfn.test1();
3586: Value at (3,0.1)[8.99,6,-0.2]
3587: Value at (1,3)[-8,2,-6]
3588: [[[1,3],-8,2,-6],
3589: [[1,2.9],-7.41,2,-5.8],
3590: --- snip ---
3591: [[3,0.1],8.99,6,-0.2]]
3592: @end example
3593:
3594:
3595: @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
3596: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3597: @noindent
3598: ChangeLog
3599: @itemize @bullet
3600: @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
3601: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
3602: @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.
3603: @end itemize
1.29 nakayama 3604:
1.40 takayama 3605:
3606: @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
3607: @subsection @code{tk_pfn.graph}
3608: @findex tk_pfn.graph
3609:
3610: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3611: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3612: @table @t
3613: @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
3614: :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
3615: @end table
3616:
3617: @table @var
3618: @item return
1.41 takayama 3619: $B%j%9%H(B $B%j%9%H$NMWAG$O0J2<$N7A<0(B [[x$B$NCM(B,y$B$NCM(B],Y_1$B$NCM(B,Y_2$B$NCM(B, ...].
3620: [x$B$NCM(B, y$B$NCM(B] $B$O(B [0,0],[0.2,0],[0.4,0], ... , [0,0.2],[0.2,0.2], ... $B$N$h$&$K(B
3621: y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
1.40 takayama 3622: @item Pf, Dom, Iv, Step
3623: @var{Pf} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B. $BFHN)JQ?t$O(B x, y $B$G8GDj(B.
3624: @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
3625: @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
3626: @var{Step} $B9o$_I}(B.
3627: @end table
3628:
3629: @itemize @bullet
3630: @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3631: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/dx = Pf[0] Y, dY/dy = Pf[1] Y $B$r?tCME*$K2r$$$F%0%i%UI=<($9$k(B.
3632: @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
3633: @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.
3634: @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 3635: @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
1.40 takayama 3636: @end itemize
3637:
3638: @example
3639: [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
1.41 takayama 3640: [1590] tk_pfn.testgraph1();
1.40 takayama 3641:
3642: $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
1.56 takayama 3643: def testgraph1() @{
1.40 takayama 3644: /* tk_bess2.bess2pf(1/2); */
3645: Pf= [[[ 0, (1)/(x), 0 ],
3646: [ -x, (2*x^2+1)/(x), -2*x ],
3647: [ -y, 0, 0 ]],
3648: [[ 0, 0, (1)/(y) ],
3649: [ -x, 0, 0 ],
3650: [ -x, (1/2)/(x), (-1/2)/(y) ]]];
3651: /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
3652: Iv = [0.105994,-0.651603,-0.760628];
3653: Dom=[[0.5,1.5],[1.5,9]];
3654: Step = 0.5;
1.41 takayama 3655: return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
1.56 takayama 3656: @}
1.40 takayama 3657:
3658:
3659: @end example
3660:
3661:
3662: @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
3663: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3664: @noindent
3665: ChangeLog
3666: @itemize @bullet
3667: @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
3668: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
3669: @end itemize
3670:
1.41 takayama 3671: @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
3672: @subsection @code{tk_rk.runge_kutta_4}
3673: @findex tk_rk.runge_kutta_4
3674:
3675: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3676: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3677: @table @t
3678: @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3679: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
3680: @end table
3681:
3682: @table @var
3683: @item return
3684: $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, ...].
3685: @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.
3686: @item Eq, X, Y, Step
3687: @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.
3688: @var{X} $BFHN)JQ?tL>(B.
3689: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
3690: @var{Step} $B9o$_I}(B.
3691: @item X0, Y0, Terminal
3692: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3693: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3694: @var{Terminal} @var{X} $B$N=*CeE@(B.
3695: @end table
3696:
3697: @itemize @bullet
3698: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3699: @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.
3700: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
3701: @code{tk_rk.test4()} $B$r;2>H(B.
3702: @end itemize
3703:
3704: @example
3705: [1355] import("taka_runge_kutta.rr");
3706: [1590] tk_rk.test4();
3707:
3708: $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)
3709: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3710:
1.56 takayama 3711: def test4() @{
1.41 takayama 3712: A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
3713: taka_plot_auto(A);
3714: return(A);
1.56 takayama 3715: @}
1.41 takayama 3716:
3717: @end example
3718:
3719:
3720: @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
3721: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3722: @noindent
3723: ChangeLog
3724: @itemize @bullet
3725: @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
3726: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3727: @end itemize
3728:
3729: @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
3730: @subsection @code{tk_rk.runge_kutta_4_linear}
3731: @findex tk_rk.runge_kutta_4_linear
3732:
3733: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3734: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3735: @table @t
3736: @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3737: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
3738: @end table
3739:
3740: @table @var
3741: @item return
3742: $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, ...].
3743: @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.
3744: @item P, X, Y, Step
3745: @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.
3746: @var{X} $BFHN)JQ?tL>(B.
3747: @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$$(B.
3748: @var{Step} $B9o$_I}(B.
3749: @item X0, Y0, Terminal
3750: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3751: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3752: @var{Terminal} @var{X} $B$N=*CeE@(B.
3753: @end table
3754:
3755: @itemize @bullet
3756: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3757: @end itemize
3758:
3759: @example
3760: [1355] import("taka_runge_kutta.rr");
3761: [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
3762: [1591] taka_plot_auto(A);
3763:
3764: $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
3765: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3766:
3767: @end example
3768:
3769:
3770: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3771: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3772: @noindent
3773: ChangeLog
3774: @itemize @bullet
3775: @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
3776: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3777: @end itemize
3778:
1.40 takayama 3779:
3780:
1.57 takayama 3781: @node fj_simplify.simplify,,, $B<B83E*;EMM$N4X?t(B
3782: @subsection @code{fj_simplify.simplify}
3783: @findex fj_simplify.simplify
1.38 takayama 3784:
3785: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3786: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3787: @table @t
1.57 takayama 3788: @item fj_simplify.simplify(@var{arg1})
1.38 takayama 3789: :: arg1 $B$r4JC12=$9$k(B.
3790: @end table
3791:
3792: @table @var
3793: @item return
3794: $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
3795: @item arg1
3796: $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
3797: @end table
3798:
3799: @itemize @bullet
3800: @item
3801: $B$3$N4X?t$O(B
3802: Joel S. Cohen, Computer Algebra and Symbolic Computation,
3803: http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
3804: $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
3805: B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
3806: $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3807: @item
3808: $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
3809: $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
3810: @end itemize
3811:
3812: @example
1.57 takayama 3813: import("fj_simplify.rr");
3814: [1434] fj_simplify.simplify((x^(1/2))^3);
1.38 takayama 3815: ((x)^(3/2))
1.57 takayama 3816: [1435] fj_simplify.simplify((2^(1/2))^2);
1.38 takayama 3817: 2
1.57 takayama 3818: [1436] fj_simplify.simplify((2+2^(1/2))^3);
1.38 takayama 3819: 14*((2)^(1/2))+20
1.57 takayama 3820: [1437] fj_simplify.simplify(exp(x)*exp(-x+y));
1.38 takayama 3821: ((@@e)^(y))
3822: @end example
3823:
3824: @table @t
3825: @item $B;2>H(B
3826: @ref{quote}
3827: @end table
3828:
3829: @noindent
3830: ChangeLog
3831: @itemize @bullet
3832: @item
3833: Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
3834: @item
3835: $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
3836: OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
3837: @end itemize
3838:
1.46 takayama 3839: @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
3840: @subsection @code{tk_jack.zonal}
3841: @findex tk_jack.zonal
3842:
3843: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3844: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3845: @table @t
3846: @item tk_jack.zonel(@var{p},@var{n})
3847: :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
3848: @end table
3849:
3850: @table @var
3851: @item return
3852: $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
3853: @item p
3854: $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
3855: @item n
3856: $B<+A3?t(B
3857: @end table
3858:
3859: @itemize @bullet
3860: @item
3861: $B$3$N4X?t$O(B
3862: Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
3863: $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3864: $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
3865: @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
3866: @end itemize
3867:
3868: @example
3869: load("tk_jack.rr");
3870: [1434] tk_jack.zonal([3,2,1],3);
3871: (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
3872: [1435] tk_jack.zonal([1,1],3);
3873: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3874: [1436] tk_jack.jack([1,1],3,2);
3875: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3876: @end example
3877:
3878: @table @t
3879: @item $B;2>H(B
3880: @end table
3881:
3882: @noindent
3883: ChangeLog
3884: @itemize @bullet
3885: @item
3886: $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
3887: holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
3888: $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
3889: @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
3890: @end itemize
3891:
1.49 takayama 3892: @node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B
3893: @subsection @code{ot_hgm_ahg.cbase}
3894: @findex ot_hgm_ahg.cbase
3895:
3896: @table @t
3897: @item cbase(@var{A})
3898: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B.
3899: @end table
3900:
3901: @table @var
3902: @item return
3903: Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B
3904: @item A
3905: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
3906: @end table
3907:
3908: @itemize @bullet
3909: @item A-$BD64v2?%$%G%"%k$N(B Q(x)[dx] $B$K$*$1$kI8=`4pDl$O(B Pfaffian $B$N4pDl$H$J$k$,(B, $B5U$O$+$J$i$:$7$b??$G$O$J$$(B. $B8D?t$O$b$A$m$sF1$8$G$"$k(B.
3910: @item
3911: $B%"%k%4%j%:%`$O(B
3912: T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103
3913: $B$K$h$k(B.
3914: $B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B.
3915: @end itemize
3916:
3917: @example
3918: [2190] import("ot_hgm_ahg.rr");
3919: 1
3920: [2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]);
3921: We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2]
3922:
3923: [dx3,dx4,1]
3924: @end example
3925:
3926: @table @t
3927: @item $B;2>H(B
3928: @ref{get_mat2}
3929: @end table
3930:
3931: @noindent
3932: ChangeLog
3933: @itemize @bullet
3934: @item
3935: $B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
3936: @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
3937: @end itemize
3938:
3939: @node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B
3940: @subsection @code{ot_hgm_ahg.get_mat2}
3941: @findex ot_hgm_ahg.get_mat2
3942: @comment get_mat2
3943: @table @t
3944: @item get_mat2(@var{A},@var{W},@var{Std},@var{Mset})
3945: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B.
3946: @end table
3947:
3948: @table @var
3949: @item return
3950: $B%j%9%H(B
3951: @item A
3952: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
3953: @item W
3954: $B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector.
3955: $BB?J,$J$s$G$b$$$$$O$:(B.
3956: @item Std
3957: $B%j%9%H(B. Pfaffian $B$N4pDl(B. cbase(A) $B$N=PNO$rMQ$$$k(B.
3958: @item Mset
3959: Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
3960: @end table
3961:
3962: @itemize @bullet
3963: @item $B=PNO$r(B @var{P} $B$KBeF~$9$k$H(B,
3964: @var{P}[0]*@var{P}[2] - @var{P}[1]*@var{Std} $B$,(B modulo H_A $B$G(B 0 $B$H$J$k(B.
3965: @var{P}[0] $B$H(B @var{P}[2] $B$r7k9g$7$?9TNs$,(B, sylvester $B9TNs(B ($BO@J8$N5-9f$G$N(B F').
3966: @var{P}[2], @var{Std} $B$,(B index $B%b%N%_%"%k$G$"$k(B.
3967: $BO@J8$G$N5-9f$G$O(B @var{P}[2] $B$O(B M_t, @var{Std} $B$O(B S.
3968: @item
3969: $B%"%k%4%j%:%`$O(B
3970: K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
3971: $B$K$h$k(B. $BO@J8$N9TNs(B F'.
3972: @end itemize
3973:
3974: @example
3975: [2190] import("ot_hgm_ahg.rr");
3976: 1
3977: [2191] A=[[1,1,1,1],[0,1,2,3]]$
3978: Std=ot_hgm_ahg.cbase(A)$
3979: W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$
3980: Mset=[1,dx1,dx2,dx3,dx4]$
3981: [2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset);
3982:
3983: $B>JN,(B
3984: @end example
3985:
3986: @table @t
3987: @item $B;2>H(B
3988: @ref{cbase}
3989: @end table
3990:
3991: @noindent
3992: ChangeLog
3993: @itemize @bullet
3994: @item
3995: $B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
3996: @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
3997: @item
3998: $B%=!<%9(B ot_hgm_ahg.rr $B$N(B test3(), test3b(), test4(), test5(), test6(), test6c() $BEy$KMxMQNc$,$"$k(B.
3999: @item
4000: test3b() $B$G(B @var{Mset} $B$r0l<!<0A4It$K$7$?$b$N$,(B, $BO@J8$NNc(B.
4001: @end itemize
4002:
4003: @comment -------------------
4004: @comment hgm_ahg_contiguity
4005: @comment -------------------
4006: @node ot_hgm_ahg.hgm_ahg_contiguity,,, $B<B83E*;EMM$N4X?t(B
4007: @subsection @code{ot_hgm_ahg.hgm_ahg_contiguity}
4008: @findex ot_hgm_ahg.hgm_ahg_contiguity
4009:
4010: @table @t
4011: @item hgm_ahg_contiguity(@var{A},@var{StdMon},@var{Line},@var{X0},@var{InitVal},@var{Start},@var{End})
4012: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(Bcontiguity relation
4013: $B$r(B Sylvester matrix $B$rMQ$$$F7W;;$7(B, $B$=$l$rMQ$$$FD64v2?4X?t$NCM$r5a$a$k(B.
4014: @end table
4015:
4016: @table @var
4017: @item return
4018: $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$NCM(B F(End;X0) ??
4019: @item A
4020: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B.
4021: @item StdMon
4022: $B%j%9%H(B. Pfaffian $B$N4pDl$rM?$($kHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
4023: @item Line
4024: $B%j%9%H(B [ContiDir,Beta,Z].
4025: @item X0
4026: $B%j%9%H(B. x $BJQ?t$NCM(B.
4027: @item InitVal
4028: $B%j%9%H(B. $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$N=i4|CM(B F(Start;X0)
4029: @item Start
4030: $B%j%9%H(B. Z $B%Q%i%a!<%?$N=i4|CM(B??
4031: @item End
4032: $B%j%9%H(B. Z $B%Q%i%a!<%?$N=*C<CM(B??
4033: @end table
4034:
4035: @itemize @bullet
4036: @item Todo, $B$3$N4X?t$N%$%s%?%U%'!<%9$OJQ99$5$l$kM=Dj(B.
4037: @item X0 $B$OM-M}?t$N%j%9%H(B.
4038: @item ContiDir $B$O(B End-Start $B$HF1$8J}8~(B.
4039: @item Beta. A$BD64v2?4X?t$N(B B $B%Q%i%a!<%?$N=i4|CM(B ??
4040: @item Z. ContiDir $B$G$N0l<!85(B contiguity $B$rI=8=$9$k$?$a$NITDj85$NL>A0(B.
4041: @item $B%=!<%9Cf$NMxMQNc(B. test_fd_conti(), test_c111_conti()
4042: @item
4043: $B%"%k%4%j%:%`$*$h$SMxE@$O(B
4044: K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
4045: $B;2>H(B.
4046: @end itemize
4047:
4048: @example
4049: [2190] import("ot_hgm_ahg.rr");
4050: 1
4051: [2191] ot_hgm_ahg.test_fd_conti();
4052: (Todo, $B0z?t$,$I$&$J$k$+$NNc$r2C$($k(B.)
4053: @end example
4054:
4055: @table @t
4056: @item $B;2>H(B
4057: @ref{get_mat2}
4058: @ref{hgm_ahg_expected_value_contiguity}
4059: @ref{hgm_ahg}
4060: @end table
4061:
4062: @noindent
4063: ChangeLog
4064: @itemize @bullet
4065: @item
4066: $B$3$N4X?t$O(B 2014-07-11 $B$K:G=i$NHG$,(B 1.10$BHG(B ot_hgm_ahg.rr $B$K(B commit $B$5$l$?(B.
4067: @item $B%$%s%?%U%'!<%9$,99?7$5$l$?HG$O(B, 1.??$BHG(B.
4068: @end itemize
4069:
4070: @comment -------------------
4071: @comment tk_hgpoly.optip
4072: @comment -------------------
4073: @node tk_hgpoly.optip,,, $B<B83E*;EMM$N4X?t(B
4074: @subsection @code{tk_hgpoly.optip}
4075: @findex tk_hgpoly.optip
4076:
4077: @table @t
4078: @item hgpoly.optip(@var{A},@var{B},@var{W})
4079: :: $B@0?t7W2hLdBj$r%0%l%V%J!<4pDl$rMQ$$$F2r$/(B.
4080: @end table
4081:
4082: @table @var
4083: @item return
4084: $B%j%9%H(B.
4085: @item A
4086: $BHsIi@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
4087: @item B
4088: $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
4089: @item W
4090: $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
4091: @end table
4092:
4093: @itemize @bullet
4094: @item @var{A} U = @var{B} $B$rK~$?$9HsIi$N@0?t%Y%/%H%k(B U $B$NCf$G(B,
4095: $BFb@Q(B @var{W} U $B$r:G>.2=$9$k(B U $B$rLa$9(B.
4096: @end itemize
4097:
4098: @example
4099: [0] import("tk_hgpoly.rr");
4100: [2191] tk_hgpoly.optip([[1,1,1,1],[0,1,2,3]],[20,40],[1,1,1,0]);
4101: [6,1,0,13]
4102: @end example
4103:
4104: @table @t
4105: @item $B;2>H(B
4106: @ref{feasible}
4107: @end table
4108:
4109: @noindent
4110: ChangeLog
4111: @itemize @bullet
4112: @item
4113: $B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B.
4114: $B85HG$O(B h-mle/A-hg/Prog
4115: @end itemize
4116:
4117: @comment -------------------
4118: @comment tk_hgpoly.hgpoly
4119: @comment -------------------
4120: @node tk_hgpoly.hgpoly,,, $B<B83E*;EMM$N4X?t(B
4121: @subsection @code{tk_hgpoly.hgpoly}
4122: @findex tk_hgpoly.hgpoly
4123: @table @t
4124: @item hgpoly.hgpoly(@var{A},@var{B})
4125: :: @var{A}, @var{B} $B$GDj5A$5$l$kD64v2?B?9`<0$r7W;;$9$k(B.
4126: @end table
4127:
4128: @table @var
4129: @item return
4130: $B%j%9%H(B.
4131: @item A
4132: $BHsIi@0?t(B(todo, $B:FEY3NG'(B)$B$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
4133: @item B
4134: $BHsIi@0?t$r@.J,$H$9$k%j%9%H(B.
4135: @end table
4136:
4137: @itemize @bullet
4138: @item $BLa$jCM$r(B F $B$H$9$k$H$-(B, F[0] $B$,D64v2?B?9`<0(B. $BJQ?t$O(B x_1, x_2, ...
4139: F[1] $B$O(B F[0] $B$NJ,;6I=8=B?9`<0(B.
4140: @end itemize
4141:
4142: @example
4143: [0] import("tk_hgpoly.rr");
4144: [2191] tk_hgpoly.hgpoly([[1,1,1,1],[0,1,2,3]],[2,2]);
4145: [x_3*x_1+1/2*x_2^2,(1/2)*<<0,2,0,0>>+(1)*<<1,0,1,0>>]
4146: @end example
4147:
4148:
4149: @noindent
4150: ChangeLog
4151: @itemize @bullet
4152: @item
4153: $B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B.
4154: @end itemize
4155:
4156: @comment -------------------
4157: @comment tk_fd.abc2ahg
4158: @comment -------------------
4159: @node tk_fd.abc2ahg,,, $B<B83E*;EMM$N4X?t(B
4160: @subsection @code{tk_fd.abc2ahg}
4161: @findex tk_fd.abc2ahg
4162: @table @t
4163: @item tk_fd.abc2ahg(@var{A},@var{B},@var{C})
4164: :: F_D(@var{A}, @var{B},@var{C}) $B$r2r$K$b$D(B A-$BD64v2?J}Dx<07O$r5a$a$k(B.
4165: @end table
4166:
4167: @table @var
4168: @item return
4169: $B%j%9%H(B.
4170: @item A
4171: $B?t(B
4172: @item B
4173: $B?t$N%j%9%H(B
4174: @item C
4175: $B?t(B
4176: @end table
4177:
4178: @itemize @bullet
4179: @item $BLa$jCM%j%9%H$NBh#0@.J,$O(B A-$BD64v2?J}Dx<07O$rDj5A$9$k9TNs(B.
4180: $BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B.
4181: @end itemize
4182:
4183: @example
4184: [2191] tk_fd.abc2ahg(-3,[-4,-5],3);
4185:
4186: [[[0,0,0,1,1,1],[1,0,0,1,0,0],[0,1,0,0,1,0],[0,0,1,0,0,1]],[11,5,4,5]]
4187: @end example
4188:
4189: @table @t
4190: @item $B;2>H(B
4191: @ref{abc2marginal}
4192: @ref{marginal2abc}
4193: @end table
4194:
4195: @noindent
4196: ChangeLog
4197: @itemize @bullet
4198: @item
4199: $B$3$N4X?t$O(B 2014-12-13 $B$K(B tk_fd.rr $B$KDI2C$5$l$?(B.
4200: @end itemize
4201:
4202: @comment -------------------
4203: @comment tk_fd.ahvec_abc
4204: @comment -------------------
4205: @node tk_fd.ahvec_abc,,, $B<B83E*;EMM$N4X?t(B
4206: @subsection @code{tk_fd.ahvec_abc}
4207: @findex tk_fd.ahvec_abc
4208: @table @t
4209: @item tk_fd.ahvec_abc(@var{A},@var{B},@var{C},@var{Y} | all=1)
4210: :: abc2marginal(@var{A}, @var{B},@var{C}) $B$r<~JUOB$K$b$D(B (2,m+1) $BJ,3dI=A4BN$K$D$$$F$N@55,2=Dj?t(B Z, $B$*$h$S(B Z $B$NJQ?t(B Y[1][0], ..., Y[1][m]
4211: (2$BHVL\$N9T(B)$B$K$D$$$F$NJPHyJ,$r7W;;$9$k(B.
4212: @end table
4213:
4214: @table @var
4215: @item return
4216: $B%j%9%H(B @var{Ans}
4217: @item A
4218: $B?t(B
4219: @item B
4220: $B?t$N%j%9%H(B. $BD9$5$O(B m.
4221: @item C
4222: $B?t(B
4223: @item Y
4224: (2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B.
4225: @end table
4226:
4227: @itemize @bullet
4228: @item
4229: @var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B.
4230: @var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B.
4231: @item
4232: @var{Ans}[2]*@var{Ans}[1] $B$,(B Z.
4233: @var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$F$NJPHyJ,(B.
4234: @item
4235: $BO@J8(B
4236: 1.Y.Goto, Contiguity relations of Lauricella's F_D revisited, arxiv:1412.3256
4237: $B$GF3=P$5$l$F$$$k(B
4238: contiguity relation $B$rMQ$$$F7W;;$9$k(B.
4239: @end itemize
4240:
4241: @example
4242: [2449] marginal2abc([3,12],[6,3,3,3]);
4243: [-3,[-3,-3,-3],4]
4244:
4245: [2450] tk_fd.ahvec_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
4246: [[ 24041/1152 143551/11520 16973/1280 78827/5760 ],1/7776]
4247:
4248: [2451] expectation_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
4249: [721230/173593,430653/173593,458271/173593,67566/24799]
4250: @end example
4251:
4252: @table @t
4253: @item $B;2>H(B
4254: @ref{expectation_abc}
4255: @end table
4256:
4257: @noindent
4258: ChangeLog
4259: @itemize @bullet
4260: @item
4261: $B$3$N4X?t$O(B 2014-$B2F$K3+H/$5$l$?(B.
4262: @end itemize
4263:
4264:
1.55 takayama 4265: @node pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round,,, $B<B83E*;EMM$N4X?t(B
1.50 takayama 4266: @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
4267: @findex pari
4268: @findex setbprec
4269: @findex setround
4270: @findex todouble
4271: @findex mpfr_gamma
4272: @findex mpfr_floor
4273: @findex mpfr_round
4274:
4275: @comment --- $B4X?t$N4JC1$J@bL@(B ---
4276: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
4277: @table @t
4278: @item pari(@var{arg1},@var{arg2},...)
4279: :: MPFR $B$G(B pari $B$N4X?t$r(B emulate $B$9$k$+(B ox_pari $B%5!<%P!<$r8F$S=P$9(B.
4280: @itemx setbprec(@var{arg1})
4281: @itemx setround(@var{arg1})
4282: $B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B.
4283: @itemx todouble(@var{arg1})
4284: :: bigfloat $B7?$r(B double $B$KJQ49$9$k(B.
4285: @itemx mpfr_gamma(@var{arg1})
4286: :: gamma $B4X?t$N7W;;(B.
4287: @itemx mpfr_floor(@var{arg1})
4288: :: floor $B$N7W;;(B.
4289: @itemx mpfr_round(@var{arg1})
4290: :: $B4]$a$N7W;;(B.
4291: @end table
4292:
4293: @table @var
4294: @item return
4295: $B8e=R(B.
4296: @item arg1, arg2
4297: $B8e=R(B.
4298: @end table
4299:
4300: @itemize @bullet
4301: @item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B.
4302: Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B.
4303: $B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B.
4304: @item
4305: pari(floor,@var{arg1}),
4306: pari(round,@var{arg1}),
4307: pari(gamma,@var{arg1})
4308: $B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B.
4309: $BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B.
4310: pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B,
4311: $B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B.
4312: Todo, ox_pari $B$r;XDj$7$F8F$S=P$9J}K!(B.
4313: @end itemize
4314:
4315: @example
4316: [219] ctrl("bigfloat",1)$
4317: [220] setprec(100)$
4318: [221] pari(floor,1111111111111.1+1/10);
4319: 1111111111111
4320: @end example
4321:
4322: @table @t
4323: @item $B;2>H(B
4324: @ref{pari}
4325: @end table
4326:
4327: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
4328: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
4329: @noindent
4330: ChangeLog
4331: @itemize @bullet
4332: @item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B.
4333: $B$^$@:n6HCf(B. Todo, asirgui $B$X$NBP1~(B. debug, ...
4334: @item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c,
4335: asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B.
4336: @end itemize
4337:
1.19 takayama 4338: @comment ****************************************************************
1.34 ohara 4339: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 4340: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.34 ohara 4341: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1.4 takayama 4342: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.55 takayama 4343: @node xyz_pqr syz_stu,,, $B<B83E*;EMM$N4X?t(B
4344: @comment @menu $B$K$b(B * syz_pqr syz_stu:: $B$HB3$1$F=q$/;v(B. $BJ,$1$F$O$$$1$J$$(B.
1.4 takayama 4345: @subsection @code{xyz_pqr}, @code{syz_stu}
4346: @findex xyz_pqr
4347: @findex xyz_stu
4348:
1.3 takayama 4349: @comment --- $B4X?t$N4JC1$J@bL@(B ---
4350: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
4351: @table @t
1.1 takayama 4352: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
4353: @itemx xyz_stu(@var{arg1},@var{arg2})
4354: :: xyz $B$K4X$9$kA`:n(B.
4355: @end table
4356:
4357: @table @var
4358: @item return
4359: $B@0?t(B
4360: @item arg1, arg2
4361: $B@0?t(B
4362: @item flag
4363: 0 $B$^$?$O(B 1
4364: @end table
4365:
4366: @itemize @bullet
1.3 takayama 4367: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 4368: @item
4369: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
4370: @item
4371: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
4372: @item
4373: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
4374: @end itemize
4375:
4376: @example
4377: [219] xyz_pqr(1,2);
4378: 3
4379: [220] xyz_pqr(1,2,1);
4380: 3
4381: 0
4382: [221] xyz_stu(1,2);
4383: 3
4384: @end example
4385:
4386: @table @t
4387: @item $B;2>H(B
4388: @ref{xyz_abc}
4389: @end table
4390:
1.3 takayama 4391: @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
4392: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 4393: @noindent
4394: ChangeLog
4395: @itemize @bullet
4396: @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
4397: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
4398: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
4399: @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
4400: @end itemize
4401:
4402: @comment --- $B$*$^$8$J$$(B ---
4403: @node Index,,, Top
4404: @unnumbered Index
4405: @printindex fn
4406: @printindex cp
4407: @iftex
4408: @vfill @eject
4409: @end iftex
4410: @summarycontents
4411: @contents
4412: @bye
4413: @comment --- $B$*$^$8$J$$=*$j(B ---
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