Annotation of OpenXM/src/asir-doc/exp/exp-ja.texi, Revision 1.55
1.55 ! takayama 1: %% $OpenXM: OpenXM/src/asir-doc/exp/exp-ja.texi,v 1.54 2017/08/31 01:24:33 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},,,]}
6: @def@b#1{{@bf@gt #1}}
7: @catcode`@#=@other
8: @end iftex
9: @overfullrule=0pt
10: @c -*-texinfo-*-
11: @comment %**start of header
12: @comment --- $B$*$^$8$J$$=*$j(B ---
13:
14: @comment --- GNU info $B%U%!%$%k$NL>A0(B ---
15: @setfilename xyzman
16:
17: @comment --- $B%?%$%H%k(B ---
18: @settitle $B<B83E*;EMM$N4X?t(B
19:
20: @comment %**end of header
21: @comment %@setchapternewpage odd
22:
23: @comment --- $B$*$^$8$J$$(B ---
24: @ifinfo
25: @macro fref{name}
26: @ref{\name\,,@code{\name\}}
27: @end macro
28: @end ifinfo
29:
30: @iftex
31: @comment @finalout
32: @end iftex
33:
34: @titlepage
35: @comment --- $B$*$^$8$J$$=*$j(B ---
36:
37: @comment --- $B%?%$%H%k(B, $B%P!<%8%g%s(B, $BCx<TL>(B, $BCx:n8"I=<((B ---
38: @title $B<B83E*;EMM$N4X?t(B
39: @subtitle Risa/Asir $B<B83E*;EMM4X?t@bL@=q(B
40: @subtitle 1.0 $BHG(B
1.49 takayama 41: @subtitle 2014 $BG/(B 12 $B7n(B
1.1 takayama 42:
1.16 ohara 43: @author by Risa/Asir committers
1.1 takayama 44: @page
45: @vskip 0pt plus 1filll
46: Copyright @copyright{} Risa/Asir committers
1.37 takayama 47: 2004--2010. All rights reserved.
1.1 takayama 48: @end titlepage
49:
50: @comment --- $B$*$^$8$J$$(B ---
51: @synindex vr fn
52: @comment --- $B$*$^$8$J$$=*$j(B ---
53:
54: @comment --- @node $B$O(B GNU info, HTML $BMQ(B ---
1.34 ohara 55: @comment --- @node $B$N0z?t$O(B node-name, next, previous, up ---
1.1 takayama 56: @node Top,, (dir), (dir)
57:
58: @comment --- @menu $B$O(B GNU info, HTML $BMQ(B ---
59: @comment --- chapter $BL>$r@53N$KJB$Y$k(B ---
60: @comment --- $B$3$NJ8=q$G$O(B chapter XYZ, Chapter Index $B$,$"$k(B.
61: @comment --- Chapter XYZ $B$K$O(B section XYZ$B$K$D$$$F(B, section XYZ$B$K4X$9$k4X?t$,$"$k(B.
62: @menu
1.34 ohara 63: * $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B::
64: * $B<B83E*;EMM$N4X?t(B::
1.1 takayama 65: * Index::
66: @end menu
67:
68: @comment --- chapter $B$N3+;O(B ---
69: @comment --- $B?F(B chapter $BL>$r@53N$K(B. $B?F$,$J$$>l9g$O(B Top ---
1.34 ohara 70: @node $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B,,, Top
71: @chapter $B<B83E*;EMM$N4X?t@bL@=q$K$D$$$F(B
1.1 takayama 72:
73: $B$3$N@bL@=q$G$O(B
74: @b{Asir} $B$KF3F~$5$l$?<B83E*;EMM$N4X?t$K$D$$$F@bL@$9$k(B.
75: $B@5<0$J4X?t$H$7$FF3F~$5$l$?$b$N$N5-=R$O(B Risa/Asir $B%^%K%e%"%k(B
76: $B$K0\F0$5$l$k(B.
77: ChangeLog $B$N9`L\$O(B www.openxm.org $B$N(B cvsweb $B$G(B
78: $B%=!<%9%3!<%I$rFI$`;~$N=u$1$K$J$k>pJs$,=q$+$l$F$$$k(B.
79:
1.34 ohara 80: @node $B<B83E*;EMM$N4X?t(B,,, Top
81: @chapter $B<B83E*;EMM$N4X?t(B
1.1 takayama 82:
1.34 ohara 83: @comment --- section ``$B<B83E*4X?t(B'' $B$N(B subsection xyz_abc
1.1 takayama 84: @comment --- subsection xyz_pqr xyz_stu $B$,$"$k(B.
85: @menu
1.55 ! takayama 86: * asir-port.sh asir-install.sh::
! 87: * asirgui.hnd::
! 88: * chdir pwd::
1.3 takayama 89: * copyright::
1.55 ! takayama 90: * dcurrenttime::
1.3 takayama 91: * dp_gr_main::
1.6 takayama 92: * dp_initial_term::
93: * dp_order::
94: * dp_weyl_gr_main::
1.55 ! takayama 95: * eval_quote::
! 96: * f_res::
! 97: * fj_simp.simplify::
! 98: * flatten_quote::
! 99: * get_struct_name get_element_names get_element_at put_element_at::
! 100: * getpid::
! 101: * initialize_static_variable::
1.8 takayama 102: * list::
103: * mapat::
1.55 ! takayama 104: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module)::
! 105: * nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option)::
! 106: * noro_matrix.rr::
! 107: * nqt_comp::
1.23 takayama 108: * nqt_match::
109: * nqt_match_rewrite::
1.55 ! takayama 110: * objtoquote::
! 111: * ot_hgm_ahg.cbase::
! 112: * ot_hgm_ahg.get_mat2::
! 113: * ot_hgm_ahg.hgm_ahg_contiguity::
! 114: * pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round::
! 115: * printf fprintf sprintf::
! 116: * qt_is_var qt_is_coef::
1.23 takayama 117: * qt_normalize::
1.55 ! takayama 118: * qt_rewrite::
1.23 takayama 119: * qt_set_coef::
120: * qt_set_ord::
121: * qt_set_weight::
1.55 ! takayama 122: * quote_to_funargs funargs_to_quote remove_paren get_function_name::
! 123: * quotetotex quotetotex_env::
! 124: * set_print_function::
! 125: * set_secure_flag set_secure_mode::
! 126: * small_jacobi::
! 127: * string_to_tb tb_to_string write_to_tb::
! 128: * tk_fd.abc2ahg::
! 129: * tk_fd.ahvec_abc::
! 130: * tk_hgpoly.hgpoly::
! 131: * tk_hgpoly.optip::
! 132: * tk_jack.zonal::
! 133: * tk_pfn.graph::
1.41 takayama 134: * tk_pfn.rkn::
135: * tk_rk.runge_kutta_4::
136: * tk_rk.runge_kutta_4_linear::
1.34 ohara 137: @end menu
1.23 takayama 138:
1.34 ohara 139: @node $B%/%*!<%H(B,,, $B<B83E*;EMM$N4X?t(B
140: @section $B%/%*!<%H(B
1.1 takayama 141:
1.34 ohara 142: @comment --- $B"~"~"~"~(B $B4X?t(B quotetotex, quotetotex_env $B$N@bL@(B $B"~"~"~"~(B
1.1 takayama 143: @comment --- $B8D!9$N4X?t$N@bL@$N3+;O(B ---
144: @comment --- section $BL>$r@53N$K(B ---
1.34 ohara 145: @node quotetotex quotetotex_env,,, $B%/%*!<%H(B
1.2 takayama 146: @subsection @code{quotetotex}, @code{quotetotex_env}
1.1 takayama 147: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.2 takayama 148: @findex quotetotex
149: @findex quotetotex_env
1.1 takayama 150:
151: @comment --- $B4X?t$N4JC1$J@bL@(B ---
152: @table @t
1.34 ohara 153: @item quotetotex(@var{q})
1.2 takayama 154: :: @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
155: @item quotetotex_env(@var{key},@var{value})
156: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$rJQ99$9$k(B.
157: @item quotetotex_env()
158: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$N8=:_CM$rLa$9(B.
159: @item quotetotex_env(0)
160: :: quotetotex $B$NF0:n$r@)8f$9$k%Q%i%a!<%?$r%G%U%)!<%k%HCM$KLa$9(B.
1.1 takayama 161: @end table
162:
163: @comment --- $B0z?t$N4JC1$J@bL@(B ---
164: @table @var
165: @item return
1.2 takayama 166: $BJ8;zNs(B(quotetotex) $B$^$?$O(B $B%j%9%H$^$?$O%*%V%8%'%/%H(B(quotetotex_env)
167: @item q
168: quote
169: @item key
170: $BJ8;zNs(B
171: @item value
172: $B%*%V%8%'%/%H(B
1.1 takayama 173: @end table
174:
175: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
176: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
177: @comment --- @bullet $B$O9uE@IU$-(B ---
178: @itemize @bullet
179: @item
1.2 takayama 180: quotetotex $B$O(B @var{q} $B$r(B latex $B7A<0$GI=8=$7$?J8;zNs$KJQ49$9$k(B.
1.34 ohara 181: @item
1.2 takayama 182: $B0J2<(B quotetotex_env $B$N%Q%i%a!<%?$N0UL#$r@bL@$9$k(B.
1.34 ohara 183: @item
1.2 takayama 184: conv_rule: 3 $B%S%C%H$rMQ$$$FJQ49%k!<%k$r;XDj$9$k(B.
185: 0$B%S%C%HL\$O(B symbol_table $B$K$h$kJQ49$r9T$&$+(B,
186: 1$B%S%C%HL\$OE:;zJQ49$r9T$&$+(B,
1.3 takayama 187: 2$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 188: $B$r0UL#$9$k(B.
189: $B$?$H$($P(B conv_rule $B$H$7$F(B 3 $B$r;XDj$9$k$H(B,
190: 0$B%S%C%HL\(B, 1 $B%S%C%HL\$,(B 1 $B$H$J$k$N$G(B
191: symbol_table $B$K$h$kJQ49$r9T$$(B, $BE:;zJQ49$r$*$3$J$&(B.
192: $BE:;zJQ49$O?t;z$H1Q;z$N6-L\$*$h$S(B _ $B5-9f$r6h@Z$j$H$9$k(B.
193: symbol_table $B$K$h$kJQ49$,:G=i$KE,MQ$5$l$k(B.
194: alpha, beta, $BEy$O<+F0E*$r%.%j%7%cJ8;z$KJQ49$9$k%F!<%V%k$O(B
195: $BFbB"$:$_(B.
1.34 ohara 196: @item
1.5 takayama 197: dp_vars_prefix: $BJ,;6I=8=B?9`<0$O(B
1.34 ohara 198: @iftex
199: @tex
1.5 takayama 200: $x_0, x_1, \cdots$
1.34 ohara 201: @end tex
202: @end iftex
203: @ifinfo
204: x0, x1, ...
205: @end ifinfo
1.5 takayama 206: $B$NB?9`<0$H$7$F(B latex $B7A<0$KJQ49$5$l$k$,$3$N(B
207: x $B$NItJ,$rJQ99$9$k(B.
1.34 ohara 208: @item
1.5 takayama 209: dp_vars_origin: $B%$%s%G%C%/%9$N;O$^$j$NCM$r;XDj$9$k(B.
210: $B%G%U%)!<%k%H$O(B 0.
1.1 takayama 211: @item
1.2 takayama 212: dp_vars_hweyl: $BJ,;6I=8=B?9`<0$r%o%$%kBe?t$N85$H$_$J$7$F(B
1.3 takayama 213: latex $B7A<0$KJQ49$9$k(B.
1.34 ohara 214: $B6v?t8DJQ?t$,$"$k$H$-$O(B $B:G=i$NH>J,$r(B
215: @iftex
216: @tex
1.2 takayama 217: $x_0, x_1, \cdots$
1.34 ohara 218: @end tex
219: $B$K8eH>$NH>J,$r(B
220: @tex
1.2 takayama 221: $\partial_0, \partial_1, \cdots$
1.34 ohara 222: @end tex
223: @end iftex
224: @ifinfo
225: x0, x1, ... $B$K8eH>$NH>J,$r(B dx0, dx1, ...
226: @end ifinfo
1.2 takayama 227: $B$KJQ49$9$k(B.
228: $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 229: @item
230: dp_dvars_prefix: dp_vars_hweyl $B$,(B 1 $B$N;~$K8eH>ItJ,$N(B prefix $B$r;XDj$9$k(B.
231: $B%G%U%)!<%k%H$O(B @tex $\partial$ @end tex
232: @item
233: dp_dvars_origin: dp_vars_hweyl $B$,(B 1 $B$N;~$N%$%s%G%C%/%9$N;O$^$j$NCM(B.
1.34 ohara 234: @item
1.2 takayama 235: conv_func: $B%f!<%6Dj5A$NJQ494X?t$r$h$V(B.
1.1 takayama 236: @end itemize
237:
238: @comment --- @example$B!A(B@end example $B$O<B9TNc$NI=<((B ---
239: @example
1.2 takayama 240: [3] quotetotex(quote(1/(x+1)));
241: \frac@{ 1@} @{ ( @{x@}+ 1)@}
242: [4] quotetotex(objtoquote(diff(x^x,x)));
243: @{x@}^@{ @{x@}- 1@} @{x@}+ \log( @{x@}) @{x@}^@{ @{x@}@}
244: [5] quotetotex_env("conv_rule",3);
245: [6] quotetotex(objtoquote( (alpha2beta+x_i_j)^2));
246: @{\alpha@}_@{2,\beta@}^@{ 2@} + 2 @{x@}_@{i,j@} @{\alpha@}_@{2,\beta@}+ @{x@}_@{i,j@}^@{ 2@}
1.1 takayama 247: @end example
248:
249: @comment --- $B;2>H(B($B%j%s%/(B)$B$r=q$/(B ---
250: @table @t
251: @item $B;2>H(B
1.2 takayama 252: @ref{objtoquote}
1.3 takayama 253: print_tex_form(contrib)
1.1 takayama 254: @end table
255:
256: @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
257: @noindent
258: ChangeLog
259: @itemize @bullet
1.34 ohara 260: @item
261: $B$3$N4X?t$O(B 2004$BG/(B2$B7nKv$+$i(B3$B7n$K$+$1$F(B asir $B$r(B
262: knoppix $BHG(B texmacs $B$KBP1~$5$;$k$?$a$K=q$+$l$?(B.
1.5 takayama 263: Asir-contrib $B$N(B print_tex_form $B$,$=$N867?$G$"$j(B, $B$=$l$r8zN(2=$7$^$?(B
264: $B=PNO7A<0$r2~A1$7$?(B.
265: OpenXM/src/kxx/ox_texmacs.c, OpenXM/src/texmacs $B$b;2>H(B.
1.34 ohara 266: @item
267: OpenXM/src/asir-contrib/packages/src/noro_print.rr 1.1--1.8,
1.5 takayama 268: noro_print_default.rr 1.1--1.3 $B$b;2>H(B.
1.34 ohara 269: @item
1.5 takayama 270: $BJQ99$r<u$1$?%U%!%$%k$O(B OpenXM_contrib2/asir2000 $B$N2<$N<!$N%U%!%$%k(B.
1.3 takayama 271: builtin/strobj.c 1.14--1.43,
272: include/ca.h 1.46, io/cexpr.c 1.18, io/pexpr.c 1.32, io.sexpr.c 1.29,
273: parse/arith.c 1.12, parse/parse.h 1.28--1.29,
274: parse/quote.c 1.7--1.8, 1.12.
1.34 ohara 275: @item
1.3 takayama 276: 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 277: @item
1.5 takayama 278: dp_dvars_prefix, *_origin $B$O(B builtin/strobj.c 1.46 $B$GF3F~$5$l$?(B.
279: @item
280: Todo: quotetoterminalform ($BJ,;6I=8=B?9`<0$N8+0W$$=PNO(B).
1.3 takayama 281: @end itemize
282:
283:
284:
1.34 ohara 285: @comment --- $B"~"~"~"~(B $B4X?t(B objtoquote $B$N@bL@(B $B"~"~"~"~(B
286: @node objtoquote,,, $B%/%*!<%H(B
1.3 takayama 287: @subsection @code{objtoquote}
288: @findex objtoquote
289:
290: @comment --- $B4X?t$N4JC1$J@bL@(B ---
291: @table @t
292: @item objtoquote(@var{ob})
293: :: $B%*%V%8%'%/%H$H(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
294: @end table
295:
296: @table @var
297: @item return
298: quote
299: @item ob
300: $B%*%V%8%'%/%H(B
301: @end table
302:
303: @itemize @bullet
304: @item
305: @code{objtoquote(ob)} $B$O(B, @var{ob} $B$r(B quote $B7?$N%G!<%?$KJQ49$9$k(B.
306: @end itemize
307:
308: @example
309: [1150] quotetolist(quote(1+2));
310: [b_op,+,[internal,1],[internal,2]]
311: [1151] quotetolist(objtoquote(1+x));
312: [b_op,+,[internal,x],[internal,1]]3
313: @end example
314:
315: @table @t
316: @item $B;2>H(B
317: @ref{quotetotex} @ref{quotetolist}
318: @end table
319:
320: @comment --- ChangeLog $B$r=q$/(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
321: @noindent
322: ChangeLog
323: @itemize @bullet
324: @item $B$3$N4X?t$O(B quotetotex $B$NA0=hM}$r$9$k$?$a$K=q$+$l$?(B.
325: @item asir-contrib $B$N4X?t(B quote_to_quote $B$b;2>H(B.
326: @item OpenXM_contrib2/asir2000/builtin/print.c 1.16.
327: @end itemize
328:
329:
1.34 ohara 330: @node flatten_quote,,, $B%/%*!<%H(B
331: @subsection @code{flatten_quote}
332: @findex flatten_quote
1.3 takayama 333:
334: @comment --- $B4X?t$N4JC1$J@bL@(B ---
335: @table @t
1.34 ohara 336: @item flatten_quote(@var{q},@var{op})
337: :: quote $B$N3g8L$r$H$j$5$k(B.
1.3 takayama 338: @end table
339:
340: @table @var
341: @item return
1.34 ohara 342: Quote
343: @item q
344: Quote
345: @item op
346: $B1i;;;R$rI=$9J8;zNs(B.
1.3 takayama 347: @end table
348:
349: @itemize @bullet
350: @item
1.34 ohara 351: Quote $B7?$N%G!<%?$OLZ9=B$$r$7$F$$$k(B
352: ( quotetolist $B;2>H(B ).
353: @code{quote_flatten()} $B$O(B, @var{q} $B$NCf$K$"$i$l$k1i;;;R(B @var{op}
354: $B$N;R6!%N!<%I$rJ?Ey$K$9$k(B.
355: $B$D$^$j1i;;;R(B @var{op} $B$K4X$9$k3g8L$E$1$,$"$C$?>l9g$=$l$r$9$Y$F$H$j$5$k(B.
356: $B$?$H$($P(B (1+2)+(3+4) $B$H$$$&I=8=$r(B 1+2+3+4 $B$KJQ49$9$k(B.
357: @item
358: $B8=:_$N<BAu$G$O(B n-ary $B$N1i;;;R$ODj5A$5$l$F$$$J$$$N$G(B,
359: 1+2+3 $B$O<B$O(B 1+(2+3) $B$HI=8=$5$l$F$$$k(B.
360: $B$D$^$j(B + $B1i;;;R$O1&7k9gE*$G$"$k(B.
361: @item R=0; for (I=0; I<N; I++) R = R+ P[I]; $B$J$kB-$7;;$r7+$jJV$9$H(B,
362: + $B$O:87k9gE*$K$J$k(B. $B1&7k9gE*$KJQ49$9$k$K$O(B flatten_quote $B$r8F$V(B.
363: @item $BL>A0$O(B quote_flatten $B$G$J$/(B flatten_quote $B$G$"$k(B.
1.3 takayama 364: @end itemize
365:
366: @example
1.34 ohara 367: [1288] flatten_quote(quote((1+2)+(3+4*(x+3))),"+");
368: quote(1+2+3+4*(x+3))
369: [1289] flatten_quote(quote( (x*y)*(p*3)-(x*y)*z),"*");
370: quote(x*y*p*3-x*y*z)
371: [1290] quotetolist(quote(1+2+3));
372: [b_op,+,[b_op,+,[internal,1],[internal,2]],[internal,3]]
1.3 takayama 373: @end example
374:
1.34 ohara 375: @table @t
376: @item $B;2>H(B
377: @ref{quotetolist}, @ref{print_tex_form}(contrib)
378: @end table
379:
380: @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 381: @noindent
382: ChangeLog
383: @itemize @bullet
1.34 ohara 384: @item
385: $B$3$N4X?t$O(B 2004-7-7 $B$+$i(B 2004-7-8 $B$K$+$1$F(B
386: quote $B$K4X$9$kA`:n$r8&5f$9$k$?$a$K<B83E*$K=q$+$l$?(B.
387: 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
388: $B1~MQ(B.
389: @item
390: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
391: builtin/strobj.c 1.47,
392: parse/eval.c 1.35,
393: parse/parse.h 1.31,
394: parse/quote.c 1.14--1.16.
1.3 takayama 395: @end itemize
396:
397:
1.55 ! takayama 398: @node quote_to_funargs funargs_to_quote remove_paren get_function_name,,, $B%/%*!<%H(B
! 399: @subsection @code{quote_to_funargs}, @code{funargs_to_quote}, @code{remove_paren}, @code{get_function_name}
1.34 ohara 400: @findex quote_to_funargs
401: @findex funargs_to_quote
402: @findex remove_paren
1.55 ! takayama 403: @findex get_function_name
1.3 takayama 404:
405: @table @t
1.34 ohara 406: @item quote_to_funargs(@var{q})
407: :: quote $B$r(B funarg $B7A<0(B($B%j%9%H(B) $B$X(B.
408: @item funargs_to_quote(@var{f})
409: :: funarg $B7A<0$r(B quote $B$X(B.
410: @item get_function_name(@var{f})
411: :: funarg $B7A<0$N(B op $B$rJ8;zNs$X(B.
412: @item remove_paren(@var{q})
413: :: $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 414: @end table
415:
416: @table @var
417: @item return
1.34 ohara 418: quote(funargs_to_quote, remove_paren) $B$+(B $B%j%9%H(B(quote_to_funargs)
419: @item q
420: quote
421: @item f
422: $B%j%9%H(B
1.3 takayama 423: @end table
424:
425: @itemize @bullet
426: @item
1.34 ohara 427: @code{quote_to_funargs} $B$O(B quote $B7?$N%G!<%?(B ($BFbItE*$K$O(B FNODE) $B$r(B
428: quote $B$X$NI|852DG=$J7A$G%j%9%H$XJQ49$9$k(B.
429: @code{quotetolist} $B$O(B quote $B$r%j%9%H$XJQ49$9$k$,(B, $B0lIt$N>pJs$r<N$F$k$?$a(B
430: $B$b$H$N(B quote $B$NI|85$O$G$-$J$$(B.
431: @item
432: @code{quote_to_funargs} $B$NLa$jCM$O(B [fid, op, arg1, arg2, ...]
433: $B$J$k7A<0$r$7$F$$$k(B.
434: $B$3$3$G(B op $B$O(B node $B$NL>A0$G$"$j(B,
435: $B4X?t(B @code{get_function_name} $B$rMQ$$$F?M4V$,FI$a$k7A<0(B
436: $B$G<h$j$@$;$k(B.
437: $B$?$H$($P(B @code{get_function_name(quote_to_funargs(quote(1+2))[1])}
438: $B$O(B "+" $B$rLa$9(B.
1.3 takayama 439: @item
1.34 ohara 440: $BL>A0(B@code{get_function_name} $B$O$=$N$&$AJQ99$5$l$k$@$m$&(B.
1.3 takayama 441: @item
1.34 ohara 442: $B2<$NNc$G(B
443: quote_to_funargs(FA[2]);
444: [34,[b_op,+,[internal,x],[internal,1]]]
445: $B$H$J$k(B.
446: 34 $B$O(B @code{I_PAREN} $B$r0UL#$9$k(B.
447: $B?t$H0UL#$NBP1~I=$O(B @code{OpenXM/src/asir-contrib/packages/src/noro_simplify.rr}
448: $B$^$?$O(B @code{OpenXM_contrib2/asir2000/parse/parse.h} $B$r8+$h(B.
449: $B0J2<$N(B fid $B$,(B 0, 1, 2, ... $B$KBP1~$E$1$i$l$F$$$k(B.
450: I_BOP, I_COP, I_AND, I_OR, I_NOT, I_CE,
451: I_PRESELF, I_POSTSELF,
452: I_FUNC, I_FUNC_OPT, I_IFUNC, I_MAP, I_RECMAP, I_PFDERIV,
453: I_ANS, I_PVAR, I_ASSPVAR,
454: I_FORMULA, I_LIST, I_STR, I_NEWCOMP, I_CAR, I_CDR, I_CAST,
455: I_INDEX, I_EV, I_TIMER, I_GF2NGEN, I_GFPNGEN, I_GFSNGEN,
456: I_LOP, I_OPT, I_GETOPT, I_POINT, I_PAREN, I_MINUS,
457: I_NARYOP
1.3 takayama 458: @end itemize
459:
1.34 ohara 460: $B<!$NNc$G$O(B (x+1)+(x+2) $B$N3g8L$r$O$:$7$F(B x+1+x+2 $B$KJQ49$7$F$$$k(B.
461: @example
462: [0] ctrl("print_quote",1) $
463:
464: [1] Q=quote((x+1)+(x+2));
465: [b_op,+,[u_op,(),[b_op,+,[internal,x],[internal,1]]],
466: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
467:
468: [2] FA=quote_to_funargs(Q);
469: [0,<...quoted...>,
470: [u_op,(),[b_op,+,[internal,x],[internal,1]]],
471: [u_op,(),[b_op,+,[internal,x],[internal,2]]]]
472:
473: [3] FA2=quote_to_funargs(FA[2])[1];
474: [b_op,+,[internal,x],[internal,1]]
475:
476: [4] FA3=quote_to_funargs(FA[3])[1];
477: [b_op,+,[internal,x],[internal,2]]
478:
479: [5] funargs_to_quote([FA[0],FA[1],FA2,FA3]);
480: [b_op,+,[b_op,+,[internal,x],[internal,1]],
481: [b_op,+,[internal,x],[internal,2]]]
482: @end example
483:
484: $B<!$NNc$O(B OpenXM/asir-contrib $BHG$N(B asir $B$G<B9T(B.
485: @example
486: [1287] load("noro_simplify.rr");
487: 1
488: [1293] noro_simplify.remove_paren(quote( f(1-(x))));
489: quote(f(1-x))
490: @end example
1.3 takayama 491:
1.34 ohara 492: funargs_to_quote $B$rMQ$$$F4{B8$N(B quote $B$N;R6!$rCV$-49$($F(B
493: $B?7$7$$(B quote $B$r$D$/$j=P$;$k(B.
494: @example
495: [1184] R=quote_to_funargs(quote(a+(b+c)));
496: [0,<...quoted...>,<...quoted...>,<...quoted...>]
497: [1185] T=quote_to_funargs(quote(1+2));
498: [0,<...quoted...>,<...quoted...>,<...quoted...>]
499: [1186] funargs_to_quote([0,R[1],R[2],T[2]]);
500: quote(a+1)
1.3 takayama 501: @end example
502:
1.34 ohara 503: @table @t
504: @item $B;2>H(B
505: @ref{quotetolist}
506: @end table
507:
1.3 takayama 508:
509: @noindent
510: ChangeLog
511: @itemize @bullet
1.34 ohara 512: @item
513: $B$3$l$i$N4X?t$O(B 2004-7-8 $B$+$i3+H/$N$O$8$^$C$F$$$k(B quote $B$N(B simplification $B4XO"(B
514: $B$N<B83E*4X?t$G$"$k(B.
515: $BJQ99$r$&$1$?%=!<%9%3!<%I$OB?4t$K$o$?$k$N$G$^$@=q$+$J$$(B.
516: @item
517: $B3g8L$r<h$j5n$kLdBj$O(B OpenXM/fb $B$,C_$($F$$$k8x<0$r(B tex $B$Ge:No$KI=<($9$k$N$,F05!$N0l$D(B.
518: @item
519: 2004-6-26 $B$N7W;;Be?t%;%_%J!<$K$*$$$F(B, $BCf@n$5$s$,(B simplifier $B$K$D$$$F$$$m$$$mLdBjDs5/(B
520: $B$r$7$?(B ($B7W;;Be?t%;%_%J!<%S%G%*;2>H(B).
521: @item parse/quote.c $B$N(B {\tt strcut fid_spec fid_spec_tab[] }
522: $B$NItJ,$K=q$$$F$"$k7A<0$K(B @code{funargs_to_quote} $B$OJQ49$9$k(B.
1.3 takayama 523: @end itemize
524:
525:
1.34 ohara 526: @node eval_quote,,, $B%/%*!<%H(B
527: @subsection @code{eval_quote}
528: @findex eval_quote
1.3 takayama 529:
530: @comment --- $B4X?t$N4JC1$J@bL@(B ---
531: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
532: @table @t
1.34 ohara 533: @item eval_quote(@var{Q});
534: :: quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
1.3 takayama 535: @end table
536:
537: @table @var
538: @item return
1.34 ohara 539: $B%*%V%8%'%/%H(B
540: @item Q
541: quote$B7?(B
542: @end table
543:
544: @itemize @bullet
545: @item quote $B7?%G!<%?(B @var{Q} $B$r(B asir $B$N%*%V%8%'%/%H$KJQ49$9$k(B.
546: @item $B5U4X?t$O(B @code{objtoquote}
547: @end itemize
548:
549: @example
550: ctrl("print_quote",2);
551: A=quote((x-1)^2+(x-1)+3);
552: $B=PNO(B: ((((x)-(1))^(2))+((x)-(1)))+(3)
553: eval_quote(A);
554: $B=PNO(B: x^2-x+3
555: print_input_form(A); /* asir-contrib */
556: $B=PNO(B: quote((x-1)^2+(x-1)+3)
1.11 ohara 557: @end example
1.3 takayama 558:
1.34 ohara 559: @table @t
560: @item $B;2>H(B
561: @ref{objtoquote}, @ref{quotetolist}, @ref{eval_string},
562: @ref{quote_to_funargs}, @ref{funargs_to_quote}
563: @end table
1.3 takayama 564:
565: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 566: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 567: @noindent
568: ChangeLog
569: @itemize @bullet
1.34 ohara 570: @item -----$B$^$@=q$$$F$J$$(B.
1.1 takayama 571: @end itemize
572:
1.34 ohara 573:
574: @node nqt_match,,, $B%/%*!<%H(B
575: @subsection @code{nqt_match}
576: @findex nqt_match
1.1 takayama 577:
578: @comment --- $B4X?t$N4JC1$J@bL@(B ---
579: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
580: @table @t
1.34 ohara 581: @item nqt_match(@var{Expr},@var{Pattern}[,@var{Mode}])
582: :: @var{Expr} $B$,(B @var{Pattern} $B$K%^%C%A(B($BE,9g(B)$B$9$k$H(B 1 $B$rLa$9(B. $B$7$J$$$H(B 0 $B$rLa$9(B.
1.3 takayama 583: @end table
584:
1.34 ohara 585: @table @var
586: @item return
587: $B@0?t(B
588: @item Expr
589: quote$B7?(B
590: @item Pattern
591: quote$B7?(B
592: @item Mode
593: $B@0?t(B
594: @end table
1.3 takayama 595:
596: @itemize @bullet
1.34 ohara 597: @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$$$H(B 0 $B$rLa$9(B.
598: @item $BE,9g$7$?>l9g(B, $BI{:nMQ$H$7$F(B, @var{Pattern} $B$K4^$^$l$k%W%m%0%i%`JQ?t(B($BBgJ8;z$G$O$8$^$kJQ?t(B)$B$KE,9g$7$?CM$,BeF~$5$l$k(B.
599: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
600: @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
601: fnode$BI8=`7A$H(B @var{Pattern} $B$rHf3S$9$k(B.
1.3 takayama 602: @end itemize
603:
1.34 ohara 604: @example
605: ctrl("print_quote",2);
606: A=quote((x-y)*(x+y));
607: nqt_match(A,quote(P*Q));
608: [P,Q]
609: $B=PNO(B: [x-y, x+y]
610: nqt_match(A,quote(P*Q),1);
611: $B%^%C%A$7$J$$(B.
612: nqt_match(A,quote(P*Q),2);
613: $B%^%C%A$7$J$$(B.
614: qt_normalize(A,1);
615: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
616: qt_normalize(A,2);
617: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
618: @end example
619:
620: @table @t
621: @item $B;2>H(B
622: @ref{nqt_match_rewrite},
623: @ref{qt_rewrite}
624: @end table
1.3 takayama 625:
626: @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 627: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.3 takayama 628: @noindent
629: ChangeLog
630: @itemize @bullet
1.34 ohara 631: @item ----- $B$^$@=q$$$F$J$$(B.
1.3 takayama 632: @end itemize
633:
1.4 takayama 634:
1.34 ohara 635: @node nqt_match_rewrite,,, $B%/%*!<%H(B
636: @subsection @code{nqt_match_rewrite}
637: @findex nqt_match_rewrite
1.4 takayama 638:
639: @comment --- $B4X?t$N4JC1$J@bL@(B ---
640: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
641: @table @t
1.34 ohara 642: @item nqt_match_rewrite(@var{Expr},@var{Rule},@var{Mode})
643: :: @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B.
1.4 takayama 644: @end table
645:
646: @table @var
647: @item return
1.34 ohara 648: quote$B7?(B
649: @item Expr
650: quote$B7?(B
651: @item Rule
652: [@var{Pattern},@var{Action}] $B$+$^$?$O(B
653: [@var{Pattern},@var{Condition},@var{Action}].
654: $B$3$l$i$NMWAG$O$9$Y$F(B quote$B7?(B.
655: @item Mode
656: $B@0?t(B
1.4 takayama 657: @end table
658:
659: @itemize @bullet
1.34 ohara 660: @item @var{Expr} $B$r(B @var{Rule} $B$K=>$$=q$-49$($k(B. @var{Pattern} $B$KE,9g$7$J$$>l9g$O(B
661: @var{Exprt} $B<+BN$rLa$9(B.
662: @item nqt $B$O(B normalized quote $B$NN,$G$"$j(B fnode$BI8=`7A$KJQ49$7$F$+$iE,9g8!::$r$9$k(B. fnode$BI8=`7A$K$D$$$F$O(B @ref{qt_normalize} $B$r8+$h(B.
1.4 takayama 663: @end itemize
664:
1.34 ohara 665: @comment %%Doc: cfep/tests/2006-03-12-qt.rr
1.4 takayama 666: @example
1.34 ohara 667: ctrl("print_quote",2);
668: nqt_match_rewrite(`x*y*z,[`X*Y,`X+Y],1);
669: $B=PNO(B: (x)+((y)*(z))
670: A=`x*x;
671: nqt_match_rewrite(A,[`X*Y,`X+Y],1);
672: $B=PNO(B: x^2 ($B%^%C%A$7$F$$$J$$(B)
673: nqt_match_rewrite(A,[`X*Y,`X+Y],2);
674: $B=PNO(B: 2*x
675:
676: $BE,9g$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.
677: quotetolist(qt_normalize(`x*x,0));
678: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
679: quotetolist(qt_normalize(`x*x,1));
680: $B=PNO(B: [b_op,^,[internal,x],[internal,2]]
681: quotetolist(qt_normalize(`x*x,2));
682: $B=PNO(B: [n_op,*,[internal,x],[internal,x]]
1.4 takayama 683: @end example
684:
685: @table @t
686: @item $B;2>H(B
1.34 ohara 687: @ref{nqt_match},
688: @ref{qt_rewrite},
689: @ref{qt_normalize}
1.4 takayama 690: @end table
691:
692: @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
693: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
694: @noindent
695: ChangeLog
696: @itemize @bullet
1.34 ohara 697: @item -----$B$^$@=q$$$F$J$$(B.
1.4 takayama 698: @end itemize
699:
1.34 ohara 700:
701:
702: @node qt_normalize,,, $B%/%*!<%H(B
703: @subsection @code{qt_normalize}
704: @findex qt_normalize
1.6 takayama 705:
706: @comment --- $B4X?t$N4JC1$J@bL@(B ---
707: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
708: @table @t
1.34 ohara 709: @item qt_normalize(@var{Expr}[,@var{Mode}])
710: :: @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 711: @end table
712:
713: @table @var
714: @item return
1.34 ohara 715: quote$B7?(B
716: @item Expr
717: quote$B7?(B
718: @item Mode
719: $B@0?t(B
1.6 takayama 720: @end table
721:
1.34 ohara 722: fnode$B$O(B quote$B7?$N<BBN$G$"$k(B.
723: fnode $B$OLZ$G$"$j(B, $B7?(B id $B$*$h$S;R6!$+$i$J$k(B.
724: $B7?$*$h$S;R6!$r<h$j=P$94X?t$,(B funargs_to_quote $B$G$"$k(B.
725: $B$^$?(B fnode $B$r%j%9%H$KJQ49$9$k4X?t$,(B quotetolist $B$G$"$k(B.
726:
727: fnode $B$NI8=`7A$O%Q%?!<%s%^%C%A%s%0(B, $B=q$-49$($rMF0W$K$*$3$J$&$?$a$KF3F~$5$l$?(B.
728: 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.
729: @example
730: fn = formula | functor(nf [,...]) | sum_of_monom
731: fnode $B$NI8=`7A(B. functor $B$O4X?t$h$S$@$7$_$?$$$J$b$N(B.
732: sum_of_monom = monom [+ ...]
733: $B%b%N%_%"%k$NOB(B
734: monom = [formula *] nfpow [* ...]
735: $B%b%N%_%"%k(B
736: nfpow = nf | nf^(nf)
737: $BQQ>hItJ,$NI8=`7A(B
738: formula = Risa object
739: @end example
740:
741:
1.6 takayama 742: @itemize @bullet
1.34 ohara 743: @item @var{Expr} $B$r(B fnode$BI8=`7A$KJQ49$9$k(B. @var{Mode}$B$K$h$jI8=`7A$X$NE83+%"%k%4%j%:%`$r;XDj$G$-$k(B.
744: @item $BE83+$O:F5"E*$G$"$k(B.
745: @item $BF~NO$,(B fnode $B$KJQ49$5$l$?=i4|>uBV$G$O(B + $B$d(B * $B$O;R6!$,(B2$B?M$N(B binary operator
746: (b_op) $B$G$"$k$,(B, qt_normalize $B$r:nMQ$5$;$k$3$H$K$h$j(B, + $B$d(B * $B$OG$0U?M?t$N(B
747: $B;R6!$r;}$F$k(B n-ary operator $B$KJQ49$5$l$k(B.
748: @item n-ary operator $B$r4pAC$H$7$?(B fnode$BI8=`7A$rMQ$$$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$$$k(B.
749: @item @var{Mode}=0. $BE83+$7$J$$(B. $B$3$l$,4{Dj$NF0:n(B.
750: @item @var{Mode}=1. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49(B
751: @item @var{Mode}=2. $BE83+$9$k(B. $B$?$@$7(B x*x $BEy$r(B x^2 $BEy$KJQ49$7$J$$(B.
1.6 takayama 752: @end itemize
753:
1.34 ohara 754: @var{Mode} $B$N0c$$$K$D$$$F$O0J2<$NNc$b;29M$K(B.
755: @comment %%cfep/tests/2006-03-12-qt.rr
1.6 takayama 756: @example
1.34 ohara 757: ctrl("print_quote",2);
758: A=quote((x-y)*(x+y));
759: $B=PNO(B: ((x)-(y))*((x)+(y))
760: B=qt_normalize(A,0);
761: $B=PNO(B: ((x)+((-1)*(y)))*((x)+(y)) Mode=0. $BE83+$O$5$l$J$$(B. +, * $B$O(B n_op (nary-op) $B$X(B.
762: quotetolist(B);
763: $B=PNO(B: [n_op,*,[n_op,+,[internal,x],[n_op,*,[internal,-1],[internal,y]]],[n_op,+,[internal,x],[internal,y]]]
1.6 takayama 764:
1.34 ohara 765: B=qt_normalize(A,1);
766: $B=PNO(B: ((x)^(2))+((x)*(y))+((-1)*((y)^(2)))+((-1)*(y)*(x))
767: Mode=1. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$r$^$H$a$k(B.
768: quotetolist(B);
769: $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 770:
1.34 ohara 771: qt_normalize(A,2);
772: $B=PNO(B: ((x)*(x))+((x)*(y))+((-1)*(y)*(x))+((-1)*(y)*(y))
773: Mode=2. $BE83+$9$k(B. +, * $B$O(B n_op (nary-op) $B$X(B. $B6R$O;H$o$J$$(B.
774: quotetolist(B);
775: $B=PNO(B: [n_op,+,[b_op,^,[internal,x],[internal,2]],[n_op,*,[internal,x],[internal,y]],[n_op,*,[internal,-1],[b_op,^,[internal,y],[internal,2]]],[n_op,*,[internal,-1],[internal,y],[internal,x]]]
1.6 takayama 776:
1.34 ohara 777: qt_normalize(`x^2,2);
778: $B=PNO(B: (x)*(x)
779: Mode=2. $B6R$O;H$o$J$$(B. n-ary $B$N(B * $B$X(B.
1.6 takayama 780: @end example
781:
782: @table @t
783: @item $B;2>H(B
1.34 ohara 784: @ref{nqt_match},
785: @ref{nqt_match_rewrite},
786: @ref{quotetolist},
787: @ref{quote_to_funargs}
1.6 takayama 788: @end table
789:
790: @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 791: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 792: @noindent
793: ChangeLog
794: @itemize @bullet
1.34 ohara 795: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 796: @end itemize
797:
1.34 ohara 798:
799: @node qt_set_coef,,, $B%/%*!<%H(B
800: @subsection @code{qt_set_coef}
801: @findex qt_set_coef
1.6 takayama 802:
803: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 804: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 805: @table @t
1.34 ohara 806: @item qt_set_coef(@var{ParamList})
807: :: $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
808: $BHs2D49B?9`<0$r07$&(B.
1.6 takayama 809: @end table
810:
811: @table @var
812: @item return
1.34 ohara 813: $B%j%9%H(B
814: @item ParamList
815: $B%j%9%H(B
1.6 takayama 816: @end table
817:
818: @itemize @bullet
1.34 ohara 819: @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
820: $BHs2D49B?9`<0$r07$&(B.
821: @item $B$3$N@k8@$r$7$J$$$H78?tBN$r?t$H$9$kHs2D49B?9`<0$H$7$F7W;;$9$k(B.
822: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
823: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 824: @end itemize
825:
826: @example
1.34 ohara 827: ctrl("print_quote",2);
828: qt_set_coef([a]);
829: B=qt_normalize(quote((a*x+a)^2),2);
830: $B=PNO(B: ((a^2)*(x)*(x))+((2*a^2)*(x))+(a^2)
831: qt_normalize(B+B,2);
832: $B=PNO(B: ((2*a^2)*(x)*(x))+((4*a^2)*(x))+(2*a^2)
1.6 takayama 833: @end example
834:
835: @table @t
836: @item $B;2>H(B
1.34 ohara 837: @ref{qt_normalize}
1.6 takayama 838: @end table
839:
840: @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 841: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 842: @noindent
843: ChangeLog
844: @itemize @bullet
1.34 ohara 845: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 846: @end itemize
847:
1.34 ohara 848:
849: @node qt_set_ord,,, $B%/%*!<%H(B
850: @subsection @code{qt_set_ord}
851: @findex qt_set_ord
1.6 takayama 852:
853: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 854: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.6 takayama 855: @table @t
1.34 ohara 856: @item qt_set_ord(@var{VarList})
857: :: @var{VarList} $B$rJQ?t=g=x$H$9$k(B.
1.6 takayama 858: @end table
859:
860: @table @var
861: @item return
1.34 ohara 862: $B%j%9%H(B
863: @item VarList
864: $B%j%9%H(B
1.6 takayama 865: @end table
866:
867: @itemize @bullet
1.34 ohara 868: @item @var{VarList} $B$r<-=q<0$KMQ$$$?JQ?t=g=x$r0J2<;HMQ$9$k(B.
869: @item $B$3$N@k8@$r$7$J$$$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.
870: @var{VarList} $B$K8=$l$J$$JQ?t$K$D$$$F$O$3$N=g=x$,E,MQ$5$l$k(B.
871: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
872: @item qt_comp $B4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
1.6 takayama 873: @end itemize
874:
875: @example
1.34 ohara 876: ctrl("print_quote",2);
877: qt_normalize(quote(x+y),2);
878: $B=PNO(B: (x)+(y)
879: qt_set_ord([y,x]);
880: $B=PNO(B: [y,x,z,u,v,w,p,q,r,s,t,a,b,c,d,e,f,g, $B0J2<>JN,(B ]
881: qt_normalize(quote(x+y),2);
882: $B=PNO(B: (y)+(x)
1.6 takayama 883: @end example
884:
885: @table @t
886: @item $B;2>H(B
1.34 ohara 887: @ref{qt_normalize},
888: @ref{nqt_comp}
1.6 takayama 889: @end table
890:
891: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.34 ohara 892: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.6 takayama 893: @noindent
894: ChangeLog
895: @itemize @bullet
1.34 ohara 896: @item -----$B$^$@=q$$$F$J$$(B.
1.6 takayama 897: @end itemize
898:
1.8 takayama 899:
1.34 ohara 900: @node qt_set_weight,,, $B%/%*!<%H(B
901: @subsection @code{qt_set_weight}
902: @findex qt_set_weight
1.8 takayama 903:
1.34 ohara 904: @comment --- $B4X?t$N4JC1$J@bL@(B ---
905: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 906: @table @t
1.34 ohara 907: @item qt_set_weight(@var{WeightVector})
908: :: $BJQ?t$K$D$$$F(B weight $B%Y%/%H%k$r@_Dj$9$k(B.
1.8 takayama 909: @end table
910:
911: @table @var
912: @item return
1.34 ohara 913: $B%j%9%H(B
914: @item WeightVector
915: $B%j%9%H(B
1.8 takayama 916: @end table
917:
1.34 ohara 918: fnode f $B$N(B weight w(f) $B$O<!$N<0$G7W;;$9$k(B.
919: @example
920: f $B$,MU$N>l9g$O86B'(B 0. qt_weight_vector $B$G(B weight $B$,M?$($i$l$F$$$kITDj85$K(B
921: $B$D$$$F$O$=$NCM(B.
922:
923: f $B$,(Bnode$B$N>l9g$O<!$N5,B'$G:F5"E*$K$-$a$k(B.
924: w(f+g) = max(w(f),w(g))
925: w(f g) = w(f) + w(g)
926: w(f^n) = n w(f)
927: $B4X?t$K$D$$$F$O(B? -----$B$^$@=q$$$F$J$$(B.
928: @end example
929:
1.8 takayama 930: @itemize @bullet
1.34 ohara 931: @item @var{WeightVector} $B$G$^$:=g=x$NHf3S$r$7$F(B, $B$=$l$+$i(B qt_set_order $B$K$h$k=g=x(B, $B:G8e$K4{Dj$N=g=x$GHf3S$9$k(B.
932: @var{WeightVector} $B$K8=$l$J$$JQ?t$K$D$$$F$N(B weight $B$O(B 0 $B$H$J$k(B.
933: @item qt_normalize $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
934: qt_normalize $B$G$NE83+$G$O(B, $B$3$N=g=x$rMQ$$$F9`$,%=!<%H$5$l$k(B.
935: @item qt_comp $B$*$h$S$=$N5!G=$rMQ$$$k4X?t$,$3$N5!G=$N1F6A$r<u$1$k(B.
936: @item weight $B%Y%/%H%k$K$h$k=g=xHf3S$K$D$$$F$O%0%l%V%J4pDl$N@a(B@ref{dp_gr_main}$B$b;2>H(B.
1.8 takayama 937: @end itemize
938:
939: @example
1.34 ohara 940: ctrl("print_quote",2);
941: qt_set_weight([[x,-1],[y,-1]]);
942: $B7k2L(B: [[x,-1],[y,-1]]
943: qt_normalize(quote( 1+(x+y)+(x+y)^2),1);
944: $B7k2L(B: (1)+(y)+(x)+((y)^(2))+((y)*(x))+((x)^(2))+((x)*(y))
1.8 takayama 945: @end example
946:
947: @table @t
948: @item $B;2>H(B
1.34 ohara 949: @ref{qt_normalize},
950: @ref{qt_set_ord},
951: @ref{qt_set_weight},
952: @ref{dp_gr_main}
1.8 takayama 953: @end table
954:
955: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
956: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
957: @noindent
958: ChangeLog
959: @itemize @bullet
1.34 ohara 960: @item -----$B$^$@=q$$$F$J$$(B.
1.8 takayama 961: @end itemize
962:
963:
1.34 ohara 964: @node nqt_comp,,, $B%/%*!<%H(B
965: @subsection @code{nqt_comp}
966: @findex nqt_comp
967:
968: @comment --- $B4X?t$N4JC1$J@bL@(B ---
969: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.8 takayama 970: @table @t
1.34 ohara 971: @item nqt_cmp(@var{Expr1},@var{Exprt2})
972: :: @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
1.8 takayama 973: @end table
974:
975: @table @var
976: @item return
1.34 ohara 977: $B@0?t(B
978: @item Expr1, Expr2
979: quote$B7?(B
1.8 takayama 980: @end table
981:
982: @itemize @bullet
1.34 ohara 983: @item @var{Expr1} $B$H(B @var{Expr2} $B$N=g=x$rHf3S$9$k(B.
984: @item @var{Expr1} > @var{Exprt2} $B$J$i(B 1.
985: @item @var{Expr1} < @var{Exprt2} $B$J$i(B -1.
986: @item @var{Expr1} = @var{Exprt2} ($B$*$J$8=g=x(B) $B$J$i(B 0.
1.8 takayama 987: @end itemize
988:
989: @example
1.34 ohara 990: ctrl("print_quote",2);
991: qt_set_ord([y,x]); qt_set_weight([[x,-1],[y,-1]]);
992: [nqt_comp(`x,`y), nqt_comp(`y,`x), nqt_comp(`x,`x)];
993: $B=PNO(B: [-1,1,0]
1.8 takayama 994: @end example
995:
996: @table @t
997: @item $B;2>H(B
1.34 ohara 998: @ref{qt_normalize},
999: @ref{qt_set_ord},
1000: @ref{qt_set_weight}
1.8 takayama 1001: @end table
1002:
1003: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1004: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1005: @noindent
1006: ChangeLog
1007: @itemize @bullet
1.34 ohara 1008: @item $B$^$@=q$$$F$J$$(B.
1.8 takayama 1009: @end itemize
1.34 ohara 1010: @comment ****************************************************************
1.8 takayama 1011:
1.55 ! takayama 1012: @node qt_is_var qt_is_coef,,, $B%/%*!<%H(B
1.34 ohara 1013: @subsection @code{qt_is_var}, @code{qt_is_coef}
1014: @findex qt_is_var
1015: @findex qt_is_coef
1.9 takayama 1016:
1017: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1018: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.9 takayama 1019: @table @t
1.34 ohara 1020: @item qt_is_var(@var{Expr})
1021: :: @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1022: @item qt_is_coef(@var{Expr})
1023: :: @var{Expr} $B$,78?t$NM-M}4X?tBN$KB0$9$k$H$-(B 1 $B$rLa$9(B.
1.9 takayama 1024: @end table
1025:
1026: @table @var
1027: @item return
1028: $B@0?t(B
1.34 ohara 1029: @item Expr
1030: quote$B7?(B
1.9 takayama 1031: @end table
1032:
1033: @itemize @bullet
1.34 ohara 1034: @item @var{Expr} $B$,ITDj85$KBP1~$9$k(B quote $B$J$i(B 1 $B$rLa$9(B.
1035: $B$=$&$G$J$$$H$-(B 0 $B$rLa$9(B.
1.9 takayama 1036: @end itemize
1037:
1038: @example
1.34 ohara 1039: [qt_is_var(quote(x)), qt_is_var(quote(3/2))];
1040: $B=PNO(B: [1,0]
1.9 takayama 1041: @end example
1042:
1043: @table @t
1044: @item $B;2>H(B
1.34 ohara 1045: @ref{qt_rewrite},
1046: @ref{nqt_match_rewrite}
1.9 takayama 1047: @end table
1048:
1.34 ohara 1049: @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
1050: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.9 takayama 1051: @noindent
1052: ChangeLog
1053: @itemize @bullet
1.34 ohara 1054: @item -----$B$^$@=q$$$F$J$$(B.
1.9 takayama 1055: @end itemize
1.34 ohara 1056: @comment ****************************************************************
1.8 takayama 1057:
1.34 ohara 1058: @node qt_rewrite,,, $B%/%*!<%H(B
1059: @subsection @code{qt_rewrite}
1060: @findex qt_rewrite
1.12 takayama 1061:
1062: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1.34 ohara 1063: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.12 takayama 1064: @table @t
1.34 ohara 1065: @item qt_rewrite(@var{Expr},@var{Rules},@var{Mode})
1066: :: @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1.12 takayama 1067: @end table
1068:
1069: @table @var
1070: @item return
1.34 ohara 1071: quote$B7?(B
1072: @item Expr
1073: quote$B7?(B
1074: @item Rules
1075: $B%j%9%H(B
1076: @item Mode
1.12 takayama 1077: $B@0?t(B
1078: @end table
1079:
1080: @itemize @bullet
1.34 ohara 1081: @item $B%f!<%68@8l$rMQ$$$FDj5A$5$l$?4X?t(B.
1082: @code{import("noro_rewrite.rr")} $B$7$F$*$/$3$H(B.
1083: (noro_rewrite.rr $B$,(B OpenXM/lib/asir-contrib $B$KB8:_$7$J$$>l9g(B
1084: $B%=!<%9$N(B OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr $B$r%3%T!<(B)
1085: @item @var{Expr} $B$r5,B'=89g(B @var{Rules} $B$rMQ$$$F=q$-49$($k(B.
1086: @item $B5,B'$NE,MQ$O(B fnode$BLZ$KBP$7$F:F5"E*$G$"$k(B.
1087: $B0lJ}(B @code{nqt_match_rewrite} $B$G$O%H%C%W%l%Y%k$N$_$K5,B'$,E,MQ$5$l$k(B.
1088: @item $B5,B'=89g(B @var{Rules} $B$N3FMWAG$N=q$-J}$O(B @code{nqt_match()} $B$N(B
1089: @var{Pattern} $B$HF1$8=q$-J}(B.
1090: $B$D$^$j(B [$B%Q%?!<%s(B, $B=q$-49$(7k2L(B] $B$^$?$O(B
1091: [$B%Q%?!<%s(B, $B>r7o(B, $B=q$-49$(7k2L(B].
1092: @item @var{Mode} $B$N0UL#$O(B @ref{qt_normalize} $B$N(B @var{Mode} $B$HF1MM(B.
1093: $B%Q%?!<%s%^%C%A(B, $B=q$-49$($O(B @var{Mode} $B$G(B @code{qt_normalize()}
1094: $B$5$l$F$+$i?k9T$5$l$k(B.
1.12 takayama 1095: @end itemize
1096:
1.34 ohara 1097: $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
1098: $BM?$($k$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,
1099: $B=g=x$,Bg$-$/$J$k>l9g$N$_$K=q$-49$($k$Y$-$G$"$k(B.
1100: @example
1101: import("noro_rewrite.rr");
1102: R=[[`X*Y,`nqt_comp(Y*X,X*Y)>0, `Y*X]];
1103: qt_rewrite(`(x-y)^2,R,2);
1104: $B=PNO(B: quote(x*x+-2*x*y+y*y)
1105: @end example
1106:
1107: $B30@QBe?t$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1108: @example
1109: import("noro_rewrite.rr");
1110: Rext0=[quote(X*Y),quote(qt_is_var(X) && qt_is_var(Y) && nqt_comp(Y,X)>0),
1111: quote(-Y*X)];
1112: Rext1=[quote(X^N),quote(eval_quote(N)>=2),quote(0)];
1113: Rext2=[quote(X*X),quote(0)];
1114: Rext=[Rext0,Rext1,Rext2];
1115: qt_rewrite(quote( (x+2*y)*(x+4*y) ), Rext,1);
1116: $B=PNO(B: 2*x*y
1117:
1118: qt_set_coef([a,b,c,d]);
1119: qt_rewrite(quote((a*x+b*y)*(c*x+d*y)), Rext,1);
1120: $B=PNO(B: (d*a-c*b)*x*y
1121:
1122: @end example
1123:
1124: $BHyJ,$N7W;;(B (asir-contrib $B$r%m!<%I$7$?>uBV(B).
1.12 takayama 1125: @example
1.34 ohara 1126: import("noro_rewrite.rr");
1127: qt_set_coef([a,b]);
1128: Rd1=[`d(X+Y), `d(X)+d(Y)];
1129: Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)];
1130: Rd3=[`d(N), `qt_is_coef(N), `0];
1131: Rd4=[`d(x),`1];
1132: Rd=[Rd1,Rd2,Rd3,Rd4];
1133: B=qt_rewrite( `d( (a*x+b)^3),Rd,2);
1134: $B=PNO(B: quote(3*a^3*x*x+6*b*a^2*x+3*b^2*a)
1135: fctr(eval_quote(B));
1136: $B=PNO(B: [[3,1],[a,1],[a*x+b,2]]
1.12 takayama 1137: @end example
1138:
1139: @table @t
1140: @item $B;2>H(B
1.34 ohara 1141: @ref{nqt_match},
1142: @ref{nqt_match_rewrite},
1143: @ref{qt_normalize}
1.12 takayama 1144: @end table
1145:
1146: @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 1147: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.12 takayama 1148: @noindent
1149: ChangeLog
1150: @itemize @bullet
1.34 ohara 1151: @item qt $B7O$N4X?t$N867?$O(B OpenXM/src/asir-contrib/testing/tr.rr $B$G$"$k(B.
1152: $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
1153: qt $B7O$N4X?t$,3+H/$5$l$?(B.
1154: @item qt $B7O$N4X?t$K$D$$$F$N$=$NB>$N;29MJ88%(B:
1155: OpenXM/doc/Papers/2005-rims-noro.tex $B$*$h$S(B
1156: OpenXM/doc/Papers/2005-rims-noro.tm (TeXmacs$B$N5-;v(B).
1157: @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 1158: @end itemize
1159:
1.34 ohara 1160: @comment ****************************************************************
1161:
1162: @node $BJ8;zNs=hM}(B,,, $B<B83E*;EMM$N4X?t(B
1163: @section $BJ8;zNs=hM}(B
1.13 takayama 1164:
1.34 ohara 1165: @comment --- $B"~"~"~"~(B $B4X?t(B copyright $B$N@bL@(B $B"~"~"~"~(B
1166: @node copyright,,, $BJ8;zNs=hM}(B
1167: @subsection @code{copyright}
1168: @findex copyright
1.13 takayama 1169:
1170: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1171: @table @t
1.34 ohara 1172: @item copyright()
1173: :: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1174: @end table
1175:
1176: @table @var
1177: @item return
1.34 ohara 1178: $BJ8;zNs(B
1.13 takayama 1179: @end table
1180:
1181: @itemize @bullet
1182: @item
1.34 ohara 1183: Risa/Asir $B$N(B copyright $BI=<($rJ8;zNs$H$7$FLa$9(B.
1.13 takayama 1184: @end itemize
1185:
1186: @example
1.34 ohara 1187: [1150] copyright();
1188: This is Risa/Asir, Version 20040312 (Kobe Distribution).
1189: Copyright (C) 1994-2000, all rights reserved, FUJITSU LABORATORIES LIMITED.
1190: Copyright 2000-2003, Risa/Asir committers, http://www.openxm.org/.
1191: GC 6.2(alpha6) copyright 1988-2003, H-J. Boehm, A. J. Demers, Xerox, SGI, HP.
1192: PARI 2.0.17, copyright 1989-1999, C. Batut, K. Belabas, D. Bernardi,
1193: H. Cohen and M. Olivier.
1.13 takayama 1194: @end example
1195:
1.34 ohara 1196: @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 1197: @noindent
1198: ChangeLog
1199: @itemize @bullet
1.34 ohara 1200: @item $B$3$N4X?t$O(B texmacs $BMQ$K=q$+$l$?(B (2004-03).
1201: @item OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r$_$h(B. builtin/miscf.c 1.21,
1202: parse/glob.c 1.47.
1203: @end itemize
1204:
1205:
1206:
1207: @comment --- $B"~"~"~"~(B $B4X?t(B string_to_tb, ... $B$N@bL@(B $B"~"~"~"~(B
1208: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1209: @node string_to_tb tb_to_string write_to_tb,,, $BJ8;zNs=hM}(B
1210: @subsection @code{string_to_tb}, @code{tb_to_string}, @code{write_to_tb}
1211: @findex string_to_tb
1212: @findex tb_to_string
1213: @findex write_to_tb
1214:
1215: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1216: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1217: @table @t
1218: @item string_to_tb(@var{s})
1219: @itemx tb_to_string(@var{tb})
1220: @itemx write_to_tb(@var{s},@var{tb})
1221: :: $BJ8;zNs2DJQD9G[Ns7?(B(text buffer)$B$N%G!<%?$N=hM}(B
1222: @end table
1223:
1224: @table @var
1225: @item return
1226: $BJ8;zNs2DJQD9G[Ns7?(B(string_to_tb), $BJ8;zNs7?(B(tb_to_string)
1227: @item s
1228: $BJ8;zNs(B
1229: @item tb
1230: $BJ8;zNs2DJQD9G[Ns7?(B
1231: @end table
1232:
1233: @itemize @bullet
1234: @item
1235: @code{string_to_tb(@var{s})} $B$O(B, $BJ8;zNs(B @var{s} $B$r$O$8$a$NMWAG$H$9$k(B
1236: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$r@8@.$9$k(B.
1237: @item
1238: @code{tb_to_string_(@var{tb})} $B$O(B,
1239: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$+$iDL>o$NJ8;zNs%*%V%8%'%/%H$r@8@.$9$k(B.
1240: @item
1241: @code{write_to_tb(@var{s},@var{tb})} $B$O(B, $BJ8;zNs(B @var{s} $B$r(B
1242: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H(B @var{tb} $B$X=q$-=P$9(B.
1243: @item @var{SS} $B$rJ8;zNsJQ?t$H$9$k$H$-(B,
1244: @var{SS} += "$BJ8;zNs(B" $B$G(B @var{SS} $B$XJ8;zNs$r=q$-B-$7$F$$$/$3$H$,$G$-$k$,(B,
1245: $BL5BL$J%a%b%j$rBgNL$K>CHq$9$k(B.
1246: $BBe$j$K4X?t(B @code{write_to_tb} $B$rMQ$$$k$Y$-$G$"$k(B.
1247: $BJ8;zNs2DJQD9G[Ns7?%*%V%8%'%/%H$OJ8;zNs$N2DJQD9$NG[Ns$G$"$j%a%b%j4IM}$KM%$7$$(B
1248: $B%G!<%?9=B$$G$"$k(B.
1249: @end itemize
1250:
1251: @example
1252: [219] T=string_to_tb("");
1253:
1254: [220] write_to_tb("Hello",T);
1255: 0
1256: [221] write_to_tb(" world!",T);
1257: 0
1258: [222] tb_to_string(T);
1259: Hello world!
1260: @end example
1261:
1262:
1263: @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
1264: @noindent
1265: ChangeLog
1266: @itemize @bullet
1267: @item
1268: $B$3$N4X?t$O(B 2004-3 $B$K(B print_tex_form $B$r8zN(2=$9$k$?$a$K=q$+$l$?(B.
1269: @item
1270: OpenXM_contrib2/asir2000 $B$N2<$N0J2<$N%U%!%$%k$r8+$h(B.
1271: io/ox_asir.c 1.52, builtin/strobj.c 1.12--1.13, 1.16,
1272: engine/str.c 1.5, parse/quote.c 1.9.
1.13 takayama 1273: @item
1.34 ohara 1274: rtostr $B$,(B text buffer $B7?$N%G!<%?$K4X$7$F$*$=$+$C$?(B. $BB.EY$N2~A1$O(B
1275: asir2000/io/pexpr_body.c 1.2, asir2000/parse/lex.c 1.32.
1.14 takayama 1276: @end itemize
1277:
1.34 ohara 1278:
1279: @node set_print_function,,, $BJ8;zNs=hM}(B
1280: @subsection @code{set_print_function}
1281: @findex set_print_function
1.14 takayama 1282:
1283: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1284: @table @t
1.34 ohara 1285: @item set_print_function([@var{fname}])
1286: :: $B2hLLI=<(MQ$N4X?t$rEPO?(B
1.14 takayama 1287: @end table
1288:
1289: @table @var
1290: @item return
1.34 ohara 1291: $B@0?t(B
1292: @item fname
1293: $BJ8;zNs(B
1.14 takayama 1294: @end table
1295:
1296: @itemize @bullet
1.34 ohara 1297: @item
1298: @code{set_print_function} $B$O(B @code{fname(F)} $B$rDL>o$N2hLLI=<(4X?t$NBe$o$j$K$h$V(B.
1299: @code $B0z?t$,$J$$>l9g$O2hLLI=<(4X?t$r%G%U%)!<%k%H$XLa$9(B.
1300: @code Asir-contrib $B$O$3$N4X?t$rMQ$$$F=PNO4X?t$r(B Asir-contrib $BMQ$KJQ99$7$F$$$k(B.
1.14 takayama 1301: @end itemize
1302:
1303: @example
1.34 ohara 1304: [219] def my_output(F) @{
1305: print("Out: ",0); print(rtostr(F));
1306: @}
1307: [220] set_print_function("my_output");
1308: Out: 0
1309: [221] 1+2;
1310: Out: 3
1.14 takayama 1311: @end example
1312:
1313: @table @t
1314: @item $B;2>H(B
1.34 ohara 1315: @ref{rtostr}
1.14 takayama 1316: @end table
1317:
1318: @noindent
1319: ChangeLog
1320: @itemize @bullet
1.34 ohara 1321: @item $B$3$N4X?t$O(B 2001-9-4 $B$K(B asir-contrib $B$N$?$a$KF3F~$5$l$?(B.
1322: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c 1.11 $B$G$"$k(B.
1.12 takayama 1323: @end itemize
1.13 takayama 1324:
1.15 takayama 1325:
1.55 ! takayama 1326: @node printf fprintf sprintf,,, $BJ8;zNs=hM}(B
1.28 ohara 1327: @subsection @code{printf}, @code{fprintf}, @code{sprintf}
1.55 ! takayama 1328: @findex printf
! 1329: @findex fprintf
1.15 takayama 1330: @findex sprintf
1331:
1332: @table @t
1.27 ohara 1333: @item printf(@var{format}[,@var{args}])
1.28 ohara 1334: @item fprintf(@var{fd},@var{format}[,@var{args}])
1.15 takayama 1335: @item sprintf(@var{format}[,@var{args}])
1336: :: C $B$K;w$?%W%j%s%H4X?t(B
1337: @end table
1338:
1339: @table @var
1340: @item return
1.28 ohara 1341: $B@0?t(B(printf,fprintf), $BJ8;zNs(B(sprintf)
1.15 takayama 1342: @item format
1343: $BJ8;zNs(B
1.28 ohara 1344: @item fd
1345: $BHsIi@0?t(B($B%U%!%$%k5-=R;R(B)
1.15 takayama 1346: @item args
1347: $B%*%V%8%'%/%H(B
1348: @end table
1349:
1350: @itemize @bullet
1351: @item
1.27 ohara 1352: @code{printf} $B$O=q<0J8;zNs(B @var{format } $B$K$7$?$,$$(B, $B%*%V%8%'%/%H(B @var{args} $B$rI8=`=PNO$K=q$-=P$9(B.
1.15 takayama 1353: @item
1.28 ohara 1354: @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.
1355: @item
1.27 ohara 1356: @code{sprintf} $B$O7k2L$rJ8;zNs$GJV$7(B, $BI8=`=PNO$K$O=q$-=P$5$J$$(B.
1357: @item
1358: $B=q<0J8;zNs$NCf$G(B @code{%a} (any) $B$,MxMQ2DG=(B.
1359: @var{args} $B$N8D?t$O=q<0J8;zNs$NCf$N(B @code{%a} $B$N8D?t$KEy$7$/$9$k$3$H(B.
1.28 ohara 1360: @item
1361: $B%U%!%$%k5-=R;R$O(B, @code{open_file} $B4X?t$rMQ$$$FF@$k$3$H(B.
1.15 takayama 1362: @end itemize
1363:
1364: @example
1.27 ohara 1365: [0] printf("%a: rat = %a\n",10,x^2-1)$
1366: 10: rat = x^2-1
1367: [1] S=sprintf("%a: rat = %a",20,x^2-1)$
1368: [2] S;
1369: 20: rat = x^2-1
1.28 ohara 1370: [3] Fd=open_file("hoge.txt","w");
1371: 0
1372: [4] fprintf(Fd,"Poly=%a\n",(x-1)^3)$
1373: [5] close_file(Fd)$
1374: [6] quit;
1375:
1376: $ cat hoge.txt
1377: Poly=x^3-3*x^2+3*x-1
1.15 takayama 1378: @end example
1379:
1380: @table @t
1381: @item $B;2>H(B
1.28 ohara 1382: @ref{rtostr},@ref{open_file},@ref{close_file}
1.15 takayama 1383: @end table
1384:
1385: @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
1386: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1387: @noindent
1388: ChangeLog
1389: @itemize @bullet
1.34 ohara 1390: @item
1.27 ohara 1391: $B4X?t(B sprintf$B$O(B 2004-7-13 $B$K%3%_%C%H$5$l$?(B.
1.15 takayama 1392: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/strobj (1.50) $B$G$"$k(B.
1.34 ohara 1393: @item
1.27 ohara 1394: $B4X?t(B printf$B$O(B 2007-11-8 $B$K%3%_%C%H$5$l$?(B.
1395: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/print.c (1.23) $B$G$"$k(B.
1.34 ohara 1396: @item
1.28 ohara 1397: $B4X?t(B fprintf$B$O(B 2008-11-18 $B$K%3%_%C%H$5$l$?(B.
1398: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/file.c (1.25) $B$G$"$k(B.
1.34 ohara 1399: @item
1.15 takayama 1400: @code{%a} $B$O(B Maple $B$N(B sprintf $B$N??;w$+(B.
1401: @end itemize
1402:
1403:
1.34 ohara 1404: @node $B%0%l%V%J!<4pDl(B,,, $B<B83E*;EMM$N4X?t(B
1405: @section $B%0%l%V%J!<4pDl(B
1406:
1407: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1408: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1409: @node dp_gr_main,,, $B%0%l%V%J!<4pDl(B
1410: @subsection @code{dp_gr_main}
1411: @findex dp_gr_main
1.15 takayama 1412:
1.34 ohara 1413: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1414: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1.15 takayama 1415: @table @t
1.34 ohara 1416: @item dp_gr_main(@var{f} | v=@var{vv}, order=@var{oo}, homo=@var{n}, matrix=@var{m}, block=@var{b}, sugarweight=@var{sw})
1417: :: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B.
1.15 takayama 1418: @end table
1419:
1420: @table @var
1421: @item return
1.34 ohara 1422: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1.15 takayama 1423: @item f
1.34 ohara 1424: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1425: @item vv
1426: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1427: @item oo
1428: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1429: @item n
1430: 0 $B$+(B1 (homogenization $B$r$9$k$+(B)
1431: @item m
1432: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord).
1433: @item b
1434: ???
1435: @item sw
1436: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B.
1.15 takayama 1437: @end table
1438:
1439: @itemize @bullet
1440: @item
1.34 ohara 1441: @code{dp_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1442: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1443: $B7OE}$@$C$F$$$J$+$C$?(B.
1444: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1445: @comment ~taka/this03/misc-2003/A2/dp
1446: @item $B=g=x(B order $B$O<!$NJ8K!$GDj5A$9$k(B. @{, @} $B$O(B 0 $B2s0J>e$N7+$jJV$7$r0UL#$9$k(B.
1447: @example
1448: order : '[' orderElement @{ ',' orderElement @} ']'
1449: orderElement : weightVec | builtinOrder
1450: weightVec : '[' weightElement @{ ',' weightElement @} ']'
1451: builtiniOrder : '[' orderName ',' setOfVariables ']'
1452: weightElement : NUMBER | setOfVariables ',' NUMBER
1453: setOfVariables: V | range(V,V)
1454: orderName : @@grlex | @@glex | @@lex
1455: @end example
1456: $B$3$3$G(B @code{V} $B$O(B $BJQ?tL>(B, @code{NUMBER} $B$O@0?t$r$"$o$i$9(B.
1457: $BNc(B1: @code{v=[x,y,z,u,v], order=[[x,10,y,5,z,1],[@@grlex,range(x,v)]]}
1458: $B$O(B @code{x},@code{y},@code{z} $B$,$=$l$>$l(B weight 10, 5, 1 $B$r$b$D(B
1459: $B=g=x$GHf3S$7$?$"$H(B, @code{[x,y,z,u,v]} $B$K$D$$$F$N(B
1460: graded reverse lexicographic order $B$r(B tie-breaker $B$H$7$FMQ$$$k$3$H$r0UL#$9$k(B.
1461: $B;29M=q(B: B.Sturmfels: Gr\"obner Bases and Convex Polytopes (1995).
1462: M.Saito, B.Sturmfels, N.Takayama:
1463: Gr\"obner Deformations of Hypergeometric Differential Equations (2000).
1464: @item
1465: $B=g=xMWAG(B (orderElement) $B$N;XDjJ}K!$O(B
1466: (1) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=E$_$NCM$N7+$jJV$7(B
1467: (2) $B=E$_$NCM$rJQ?t%j%9%H$N=gHV$KJB$Y$kJ}K!(B
1468: (3) $BJQ?tL>$^$?$O(B range$B$G;XDj$5$l$?JQ?t$N=89g$H=g=xL>$NAH(B
1469: $B$N;0DL$j$N4pACE*J}K!$,$"$k(B.
1470: $B;w$?;XDjJ}K!$,(B Macaulay, Singular, CoCoA, Kan/sm1 $BEy$N4DO@%7%9%F%`$G(B
1471: $B;HMQ$5$l$F$$$?(B. Risa/Asir $B$N;XDjJ}K!$O$3$l$i$N%7%9%F%`$N;XDjJ}K!$r;29M$K(B
1472: $B$5$i$K2~NI$r2C$($?$b$N$G=@Fp@-$,9b$$(B.
1473: @item
1474: order $B$N(B tie-breaker $B$O(B grlex $B$,%G%U%)!<%k%H(B.
1.15 takayama 1475: @item
1.34 ohara 1476: $BJ,;6I=8=B?9`<0$r0z?t$H$7$?$H$-$O7k2L$bJ,;6I=8=B?9`<0$H$7$FLa$k(B.
1477: order $B;XDj$K$b$A$$$k%G%U%)!<%k%H$NJQ?tL>$O$3$N$H$-(B x0, x1, x2, ... $B$H$J$k(B.
1.15 takayama 1478: @item
1.34 ohara 1479: $B%*%W%7%g%s$NCM$O(B option_list $B%-!<%o!<%I$rMQ$$$F%j%9%H$GM?$($F$b$h$$(B.
1480: $B2<$NNc$r;2>H(B.
1.15 takayama 1481: @end itemize
1482:
1483: @example
1.34 ohara 1484: [218] load("cyclic");
1485: [219] V=vars(cyclic(4));
1486: [c0,c1,c2,c3]
1487: [220]dp_gr_main(cyclic(4) | v=V, order=[[c0,10,c1,1],[c2,5],[@@grlex,range(c0,c3)]]);
1488: [ 10 1 0 0 ]
1489: [ 0 0 5 0 ]
1490: [ R R R R ]
1491: [(-c3^6+c3^2)*c2^2+c3^4-1,c3^2*c2^3+c3^3*c2^2-c2-c3,
1492: (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,
1493: c0+c1+c2+c3]
1.15 takayama 1494:
1.34 ohara 1495: [1151] F=map(dp_ptod,katsura(4), vars(katsura(4)));
1496: [(1)*<<1,0,0,0,0>>+(2)*<<0,1,0,0,0>>+ ... ]
1497: [1152] dp_gr_main(F | order=[[range(x0,x3),1]]);
1498: [ 1 1 1 1 0 ]
1499: [ R R R R R ]
1500: [(47774098944)*<<0,0,0,0,13>>+ ... ]
1.15 takayama 1501:
1.34 ohara 1502: [1153] Opt=[["v",[x,y]], ["order",[[x,5,y,1]]]];
1503: [[v,[x,y]],[order,[[x,5,y,1]]]]
1504: [1154] dp_gr_main([x^2+y^2-1,x*y-1] | option_list=Opt);
1505: [ 5 1 ]
1506: [ R R ]
1507: [-y^4+y^2-1,x+y^3-y]
1508: @end example
1.15 takayama 1509:
1.34 ohara 1510: @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
1511: @noindent
1512: ChangeLog
1513: @itemize @bullet
1514: @item $B$3$N4X?t$O(B 2003-12 $B$+$i(B 2004-2 $B$N;O$a$KBg$-$J=$@5$,9T$o$l$?(B.
1515: @item
1516: @code{setOfVariables}$B$NI=8=$N$?$a$K(B range $B%*%V%8%'%/%H$,F3F~$5$l$?(B.
1517: @item
1518: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1519: $B7OE}$@$C$F$$$J$+$C$?(B.
1520: dp_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1521: @item
1522: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1523: builtin/gr.c 1.56--1.57,
1524: builtin/dp-supp.c 1.27--1.31 (create_composite_order_spec),
1525: builtin/dp.c 1.46--1.48 (parse_gr_option),
1526: engine/Fgfs.c 1.20,
1527: engine/dist.c 1.27--1.28
1528: engine/nd.c 1.89,
1529: include/ca.h 1.42--1.43,
1530: io/pexpr.c 1.28,
1531: io/sexpr.c 1.26,
1532: parse/arith.c 1.11,
1533: parse/glob.c 1.44-1.45,
1534: parse/lex.c 1.29,
1535: parse/parse.h 1.23--1.26
1536: @item
1537: Todo: return $B%-!<%o!<%I$GLa$jCM$N%G!<%?$r(B quote $B$N%j%9%H$K$G$-$k$h$&$K(B.
1538: attribute, ring $B9=B$BN(B.
1539: @end itemize
1540:
1541: @comment --- $B"~"~"~"~(B $B4X?t(B dp_gr_main $B$N@bL@(B $B"~"~"~"~(B
1542: @node dp_weyl_gr_main,,, $B%0%l%V%J!<4pDl(B
1543: @subsection @code{dp_weyl_gr_main}
1544: @findex dp_weyl_gr_main
1545:
1546: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1547: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1548: @table @t
1549: @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})
1550: :: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9(B. dp_gr_main $B$HF1$87A<0$G$"$k(B.
1551: @end table
1.15 takayama 1552:
1.34 ohara 1553: @table @var
1554: @item return
1555: $B%j%9%H(B ($B%0%l%V%J4pDl(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1556: @item f
1557: $B%j%9%H(B ($BF~NOB?9`<07O(B. $B:F5"I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B)
1558: @item vv
1559: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1560: @item oo
1561: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1562: @item n
1563: 0 $B$+(B1 (homogenization $B$r$9$k$+(B). [$B%F%9%H$^$@(B]
1564: @item m
1565: $B=g=x$r(B matrix $B$GI=8=$9$k>l9g(B (cf. dp_ord). [$B%F%9%H$^$@(B]
1566: @item b
1567: ???
1568: @item sw
1569: Sugar strategy $B$rE,MQ$9$k$H$-$N(B weight vector. $BA4$F$NMWAG$OHsIi(B. [$B%F%9%H$^$@(B]
1570: @end table
1.15 takayama 1571:
1.34 ohara 1572: @itemize @bullet
1573: @item
1574: @code{dp_weyl_gr_main(@var{f})} $B$O(B, @var{f} $B$N%0%l%V%J4pDl$r7W;;$9$k(B.
1575: $B%0%l%V%J4pDl$O=g=x$rJQ$($k$H$=$N7A$,JQ$o$k(B. asir $B$G$O$$$^$^$G=g=x$N;XDjJ}K!$,(B
1576: $B7OE}$@$C$F$$$J$+$C$?(B.
1577: dp_weyl_gr_main $B$N?7$7$$%$%s%?%U%'!<%9$G$O=g=x$r$"$kJ8K!$K=>$$;XDj$9$k(B.
1578: $B;XDjJ}K!$K$D$$$F$O(B dp_gr_main $B$N%^%K%e%"%k$r;2>H(B.
1579: @item
1580: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,6v?t$N$H$-$O%o%$%kBe?t(B
1581: K[x_1, ..., x_n, d_1, ..., d_n]
1582: $B$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
1583: 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.
1584: $B$^$?(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.
1585: @item
1586: $BJ,;6I=8=B?9`<0$N3F%b%N%_%"%k$ND9$5$,4q?t$N$H$-$OF1<!2=%o%$%kBe?t(B
1587: K[x_1, ..., x_n, d_1, ..., d_n, h]
1588: $B$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
1589: d_i x_i = x_i d_i + h^2
1590: $B$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.
1591: $B>\$7$/$O(B dp_gr_main $B$G;2>H$7$?(B Saito, Sturmfels, Takayama $B$N652J=q$r$_$h(B.
1592: @end itemize
1.15 takayama 1593:
1594: @example
1.34 ohara 1595: [1220] F=sm1.gkz([ [[1,1,1,1],[0,1,3,4]], [0,0]]); /* Command in asir-contrib*/
1596: [[x4*dx4+x3*dx3+x2*dx2+x1*dx1,4*x4*dx4+3*x3*dx3+x2*dx2,-dx1*dx4+dx2*dx3,-dx2^2*dx4+dx1*dx3^2,dx1^2*dx3-dx2^3,-dx2*dx4^2+dx3^3],[x1,x2,x3,x4]]
1597: [1221] V=[x1,x2,x3,x4,dx1,dx2,dx3,dx4]$
1598: [1222] dp_weyl_gr_main(F[0] | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1599: ...
1600: [1238] FF=map(dp_ptod,F[0],V);
1601: [(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]
1602:
1603: [1244] FF=map(dp_ptod,F[0],V);
1604: [(1)*<<1,0,0,0,1,0,0,0>>+(1)*<<0,1,0,0,0,1,0,0>>+(1)*<<0,0,1,0,0,0,1,0>>+(1)*<<0,0,0,1,0,0,0,1>>,(1)*<<0,1,0,0,0,1,0,0>>+(3)*<<0,0,1,0,0,0,1,0>>+(4)*<<0,0,0,1,0,0,0,1>>,(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>>]
1605:
1606: dp_weyl_gr_main(FF | v=V, order=[[0,0,0,0,1,1,1,1]]);
1607:
1608: [1246] dp_weyl_gr_main(FF | v=V, order=[[dx1,1,dx2,1,dx3,1,dx4,1]]);
1609: [ 0 0 0 0 1 1 1 1 ]
1610: [ R R R R R R R R ]
1611: ...
1612:
1.15 takayama 1613: @end example
1614:
1.34 ohara 1615: @table @t
1616: @item $B;2>H(B
1617: @ref{dp_gr_main}
1618: @end table
1619:
1620: @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
1621: @noindent
1622: ChangeLog
1623: @itemize @bullet
1624: @item dp_gr_main $B$N%$%s%?%U%'!<%9$,(B dp_weyl_gr_main $B$X$bF3F~$5$l$?(B.
1625: @item
1626: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1627: builtin/dp-supp.c 1.32--1.33
1628: builtin/dp.c 1.49--1.50
1629: @end itemize
1630:
1631: @comment --- $B"~"~"~"~(B $B4X?t(B dp_initial_term $B$N@bL@(B $B"~"~"~"~(B
1632: @node dp_initial_term,,, $B%0%l%V%J!<4pDl(B
1633: @subsection @code{dp_initial_term}
1634: @findex dp_initial_term
1635:
1636: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1637: @table @t
1638: @item dp_initial_term(@var{f} | v=@var{vv}, order=@var{oo})
1639: :: dp_initial_term $B$OM?$($i$l$?(B weight $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1640: @end table
1641:
1642: @table @var
1643: @item return
1644: $BJ,;6I=8=B?9`<0$^$?$OJ,;6I=8=B?9`<0$N%j%9%H(B.
1645: @item f
1646: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1647: @item vv
1648: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1649: @item oo
1650: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1651: @end table
1652:
1653: @itemize @bullet
1654: @item
1655: dp_initial_term $B$OM?$($i$l$?(B weight w $B$KBP$9$k@hF,9`$NOB$rLa$9(B.
1656: $B$3$l$OB?$/$N652J=q$G(B @tex ${\rm in}_w(f)$ @end tex
1657: $B$H=q$+$l$F$$$k(B.
1658: @item
1659: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1660: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1661: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1662: @item
1663: $B7k2L$OM?$($i$l$?=g=x$K4X$7$F%=!<%H$5$l$F$k$o$1$G$O$J$$(B.
1664: @end itemize
1665:
1.19 takayama 1666: @example
1.34 ohara 1667: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1668: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1669: [1220] dp_initial_term(F | order=[[1,1,1]]);
1670: [ 1 1 1 ]
1671: [ R R R ]
1672: (1)*<<2,0,0>>+(1)*<<1,1,0>>
1673: [1221] dp_initial_term(F | v=[x,y,z], order=[[x,1]]);
1674: [ 1 0 0 ]
1675: [ R R R ]
1676: (1)*<<2,0,0>>
1.19 takayama 1677: @end example
1678:
1.15 takayama 1679: @table @t
1680: @item $B;2>H(B
1.34 ohara 1681: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_order}, @ref{dp_hm}
1.15 takayama 1682: @end table
1683:
1.34 ohara 1684: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
1.15 takayama 1685: @noindent
1686: ChangeLog
1687: @itemize @bullet
1.34 ohara 1688: @item
1689: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1690: builtin/dp-supp.c 1.32
1691: builtin/dp.c 1.49
1.17 takayama 1692: @end itemize
1693:
1.34 ohara 1694: @comment --- $B"~"~"~"~(B $B4X?t(B dp_order $B$N@bL@(B $B"~"~"~"~(B
1695: @node dp_order,,, $B%0%l%V%J!<4pDl(B
1696: @subsection @code{dp_order}
1697: @findex dp_order
1.17 takayama 1698:
1699: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1700: @table @t
1.34 ohara 1701: @item dp_order(@var{f} | v=@var{vv}, order=@var{oo})
1702: :: dp_order $B$OM?$($i$l$?(B weight $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1.17 takayama 1703: @end table
1704:
1705: @table @var
1706: @item return
1.34 ohara 1707: $B?t$+?t$N%j%9%H(B
1708: @item f
1709: $BJ,;6I=8=B?9`<0$+J,;6I=8=B?9`<0$N%j%9%H(B.
1710: @item vv
1711: $B%j%9%H(B ($BJQ?t$N%j%9%H(B)
1712: @item oo
1713: $B%j%9%H(B ($B=g=x$r$"$i$o$9%j%9%H(B)
1.17 takayama 1714: @end table
1715:
1716: @itemize @bullet
1717: @item
1.34 ohara 1718: $B=g=x$rI=$9%j%9%H$O(B dp_gr_main $B$GDj5A$7$?J8K!$K=>$&(B.
1719: $B$3$N%j%9%H$N@hF,$,(B weight vector $B$GL5$$>l9g$O%(%i!<$H$J$k(B.
1720: $B$?$H$($P(B order=[[@@lex,...]] $B$O%(%i!<$H$J$k(B.
1721: @item
1722: dp_order $B$OM?$($i$l$?(B weight w $B$KBP$9$k<!?t$N:GBgCM$rLa$9(B.
1723: $B$3$l$r(B @tex ${\rm ord}_w(f)$ @end tex
1724: $B$H=q$/O@J8$d652J=q$b$"$k(B.
1.17 takayama 1725: @item
1.34 ohara 1726: $B0z?t$,%j%9%H$N>l9g3FMWAG$N<!?t$,7W;;$5$l$k(B.
1.17 takayama 1727: @end itemize
1728:
1729: @example
1.34 ohara 1730: [1220] F=<<2,0,0>>+<<1,1,0>>+<<0,0,1>>;
1731: (1)*<<2,0,0>>+(1)*<<1,1,0>>+(1)*<<0,0,1>>
1732: [1222] dp_order(F | order=[[1,1,1]]);
1733: [ 1 1 1 ]
1734: [ R R R ]
1735: 2
1736: [1223] dp_order(F | v=[x,y,z], order=[[x,1]]);
1737: [ 1 0 0 ]
1738: [ R R R ]
1.17 takayama 1739: @end example
1740:
1741: @table @t
1742: @item $B;2>H(B
1.34 ohara 1743: @ref{dp_gr_main}, @ref{dp_weyl_gr_main}, @ref{dp_initial_term}, @ref{dp_hm}
1.17 takayama 1744: @end table
1745:
1.34 ohara 1746: @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 1747: @noindent
1748: ChangeLog
1749: @itemize @bullet
1750: @item
1.34 ohara 1751: OpenXM_contrib2/asir2000 $B$N2<$N<!$N3F%U%!%$%k$,=$@5$r$&$1$?(B.
1752: builtin/dp-supp.c 1.32
1753: builtin/dp.c 1.49
1.15 takayama 1754: @end itemize
1.21 takayama 1755:
1756:
1.34 ohara 1757: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (module),,, $B%0%l%V%J!<4pDl(B
1758: @subsection @code{nd_gr}, @code{nd_gr_trace} ($B2C72(B)
1759: @findex nd_gr (module)
1760: @findex nd_gr_trace (module)
1761: @findex nd_weyl_gr (module)
1762: @findex nd_weyl_gr_trace (module)
1.21 takayama 1763:
1.34 ohara 1764: @comment --- nd_gr, nd_gr_trace $B$K$*$1$k2C72$N%0%l%V%J!<4pDl7W;;(B ---
1.21 takayama 1765: @table @t
1.34 ohara 1766: @item nd_gr(@var{gen},@var{vars},@var{char},@var{ord})
1767: @itemx nd_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1768: @item nd_weyl_gr(@var{gen},@var{vars},@var{char},@var{ord})
1769: @itemx nd_weyl_gr_trace(@var{gen},@var{vars},@var{homo},@var{char},@var{ord})
1770: :: $BItJ,2C72$N%0%l%V%J!<4pDl$N7W;;(B
1.21 takayama 1771: @end table
1772:
1.34 ohara 1773: @table @var
1774: @item gen
1775: $B%j%9%H$N%j%9%H(B
1776: @item ord
1777: @var{[IsPOT,Ord]} $B$J$k%j%9%H(B
1778: @item return
1779: $B%j%9%H$N%j%9%H(B
1780: @end table
1.21 takayama 1781:
1782: @itemize @bullet
1.34 ohara 1783: @item $BB?9`<04D$"$k$$$O%o%$%kBe?t>e$N<+M32C72$NItJ,2C72$N%0%l%V%J!<4pDl(B
1784: $B$r7W;;$9$k(B. $B7k2L$O%j%9%H$N%j%9%H$G$"$k(B. $B3FMWAG%j%9%H$O(B, $B<+M32C72$N(B
1785: $B85$G$"$k%Y%/%H%k$H$_$J$9(B.
1786: @item @var{ord} $B$H$7$F(B @var{[IsPOT,Ord]} $B$H$$$&(B2$BMWAG%j%9%H$,;XDj$5$l$?(B
1787: $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
1788: $B$N%j%9%H$N%j%9%H$H$7$FM?$($kI,MW$,$"$k(B.
1789: @item @var{IsPOT} $B$,(B 1 $B$N>l9g(B, POT (position over term), 0 $B$N(B
1790: $B>l9g(B TOP (term over position) $B$GHf3S$9$k(B. $B4pAC4D$G$N9`Hf3S$O(B @var{Ord}
1791: $B$G9T$&(B.
1792: @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 1793: @end itemize
1794:
1.34 ohara 1795: @example
1796: [0] Gen=[[x,y,z],[y^2+x,x^2,z],[y^2,z^3+x,x+z]];
1797: [[x,y,z],[x+y^2,x^2,z],[y^2,x+z^3,x+z]]
1798: [1] nd_gr(Gen,[x,y,z],0,[0,0]);
1799: [[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,
1800: -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
1801: +(-y^3+z*y^2-z*y)*x+z^4*y^2]]
1802: @end example
1803:
1804: @table @t
1805: @item $B;2>H(B
1806: @ref{nd_gr}, @ref{nd_gr_trace}
1807: @end table
1808:
1809: @node nd_gr nd_gr_trace nd_weyl_gr nd_weyl_gr_trace (option),,, $B%0%l%V%J!<4pDl(B
1810: @subsection @code{nd_gr}, @code{nd_gr_trace} (option)
1811: @findex nd_gr (option)
1812: @findex nd_gr_trace (option)
1813: @findex nd_weyl_gr (option)
1814: @findex nd_weyl_gr_trace (option)
1815:
1816: @comment --- nd_gr, nd_gr_trace $B$N%*%W%7%g%s(B ---
1817:
1818: @table @t
1819: @item nd_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1820: @itemx nd_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1821: @itemx nd_weyl_gr(@var{...}[|@var{opt},@var{opt},@dots{}])
1822: @itemx nd_weyl_gr_trace(@var{...}[|@var{opt},@var{opt},@dots{}])
1823: :: $B%0%l%V%J!<4pDl7W;;$K4X$9$k<o!9$N%*%W%7%g%s$N@bL@(B
1824: @end table
1825:
1826: @table @var
1827: @item opt
1828: @var{key=value} $B$J$k%*%W%7%g%s@_Dj(B
1829: @item return
1830: $B%*%W%7%g%s$K$h$j0[$J$k(B
1831: @end table
1832:
1833: @itemize @bullet
1834: @item $B%0%l%V%J!<4pDl7W;;$r%*%W%7%g%s$K$h$j@)8f$9$k(B.
1835: @item $B8=>u$G$O<!$N(B 3 $B$D$N%*%W%7%g%s$r<u$1IU$1$k(B.
1836:
1837: @table @var
1838: @item gentrace
1839: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B%0%l%V%J!<4pDl$N7W;;7P2a>pJs$r=PNO$9$k(B.
1.45 takayama 1840: @item gensyz
1.34 ohara 1841: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B7W;;$5$l$?%0%l%V%J!<4pDl$KBP$9$k(B syzygy $B$N@8@.7O$r=PNO$9$k(B.
1842: @item nora
1843: @var{value} $B$,(B 0 $B$G$J$$$H$-(B, $B:G=*%9%F%C%W$GAj8_4JLs$r9T$o$J$$(B.
1844: @end table
1845:
1846: @item @var{gentrace} $B$,;XDj$5$l$?>l9g(B, $B=PNO$O(B,
1847: @var{[GB,Homo,Trace,IntRed,Ind,InputRed,SpairTrace]} $B$J$k%j%9%H$G$"$k(B. $B3FMWAG$N0UL#$O(B
1848: $B<!$NDL$j$G$"$k(B.
1849: @table @var
1850: @item GB
1851: $B%0%l%V%J!<4pDl(B
1852: @item Homo
1853: $BCf4V4pDl$,@F<!2=$5$l$F$$$k>l9g(B 1, $B$=$&$G$J$$>l9g(B 0.
1854: @item Trace
1855: $BA4Cf4V4pDl$KBP$9$k7W;;7P2a>pJs(B
1856: @item IntRed
1857: $BAj8_4JLs$KBP$9$k7W;;7P2a>pJs(B
1858: @item Ind
1859: $B4JLs%0%l%V%J!<4pDl$N3FMWAG$N(B, $BA4Cf4V4pDl$N$K$*$1$k%$%s%G%C%/%9(B
1860: @item InputRed
1861: $B3FF~NOB?9`<0$r%0%l%V%J!<4pDl$G4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1862: (@var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1863: @item SpairTrace
1864: $B4JLs%0%l%V%J!<4pDl$KBP$9$k(B S $BB?9`<0$r4JLs$7$F>jM>(B 0 $B$rF@$k$^$G$N7W;;7P2a>pJs(B
1865: (syzygy $B2C72$N@8@.7O$NMWAG$N$_(B; @var{gensyz} $B$,;XDj$5$l$?>l9g(B)
1866: @end table
1867: @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
1868: $B4X?t$N9`$G@bL@$9$kM=Dj(B.
1869: @end itemize
1.21 takayama 1870:
1871: @example
1.34 ohara 1872: [0] C=[c3*c2*c1*c0-1,((c2+c3)*c1+c3*c2)*c0+c3*c2*c1,...]
1873: [1] D=nd_gr_trace(C,[c0,c1,c2,c3,c4],0,1,0|gentrace=1,gensyz=1)$
1874: [2] D[0];
1875: [c0+c1+c2+c3,-c1^2-2*c3*c1-c3^2,...]
1876: [3] D[2];
1877: [[[0,0,1],[1,1,1],[2,2,1],[3,3,1]],[4,[[1,2,(1)*<<0,0,0,0>>,1],...]
1878: [4] D[6];
1879: [[-1,[[1,0,(1)*<<0,0,2,4>>,1],[1,6,(-1)*<<1,0,0,0>>,1],...]
1880: @end example
1.21 takayama 1881:
1.34 ohara 1882: @table @t
1883: @item $B;2>H(B
1884: @ref{nd_gr}, @ref{nd_gr_trace}
1885: @end table
1.21 takayama 1886:
1887:
1.34 ohara 1888: @node $B%7%9%F%`(B,,, $B<B83E*;EMM$N4X?t(B
1889: @section $B%7%9%F%`(B
1.21 takayama 1890:
1.34 ohara 1891: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1892: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.55 ! takayama 1893: @node asir-port.sh asir-install.sh,,, $B%7%9%F%`(B
1.34 ohara 1894: @subsection @code{asir-port.sh}, @code{asir-install.sh}
1895: @findex asir-port.sh
1896: @findex asir-install.sh
1.23 takayama 1897:
1898: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1899: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1900: @table @t
1.34 ohara 1901: @item asir-install.sh
1902: @itemx asir-port.sh
1903: :: $B$3$l$O(B asir $B$NFbIt%3%^%s%I$G$O$J$$(B. asir $B$r%M%C%H%o!<%/$+$i%@%&%s%m!<%I$+$D<B9T$9$k%7%'%k%9%/%j%W%H(B
1.23 takayama 1904: @end table
1905:
1906:
1907: @itemize @bullet
1.34 ohara 1908: @item
1909: asir-port.sh $B$O(B knoppix $B@lMQ$G$"$k(B.
1910: $B$3$N%3%^%s%I$O(B asir $B$N%P%$%J%j$*$h$S(B FLL $B$GG[I[$G$-$J$$ItJ,$r(B
1911: ftp.math.kobe-u.ac.jp $B$h$j%@%&%s%m!<%I$7$F(B
1912: /home/knoppix/.asir-tmp $B$X%;!<%V$7$F(B, $B<B9T$9$k(B.
1913: .asirrc $B$*$h$S(B .TeXmacs/plugins/ox/progs/init-ox.scm $B$b%@%&%s%m!<%I$9$k(B.
1914: @item
1915: asir-install.sh $B$O(B Debian GNU Linux / openxm-binary*.deb $B@lMQ$G$"$k(B.
1916: asir-install.sh $B$O(B asir $B$r%@%&%s%m!<%I$7$F(B /usr/local/OpenXM/bin $B$*$h$S(B
1917: /usr/local/OpenXM/lib/asir $B$X%$%s%9%H!<%k$9$k(B.
1.23 takayama 1918: @end itemize
1919:
1920:
1921: @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
1922: @noindent
1923: ChangeLog
1924: @itemize @bullet
1.34 ohara 1925: @item
1926: $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.
1927: @item
1928: knoppix/math $B$OJ!2,Bg3X$N_@ED$5$s$,Cf?4$H$J$j3+H/$5$l$F$$$k(B.
1929: @item
1930: OpenXM/misc/packages/Linux/Debian $B$N2<$NA4$F$N%U%!%$%k(B (2004-2-22 $B$+$i(B
1931: 2004-3 $B$NKv$^$G(B). ( ~taka/this03/misc-2003/A3/knoppix-03-05 ($B%W%i%$%Y!<%H%U%!%$%k(B) $B$b8+$h(B.)
1932: OpenXM/src/asir-port $B$N2<$N<!$N3F%U%!%$%k(B.
1933: Makefile 1.1--1.8, asir-install.sh 1.1--1.2, asir-port.sh 1.1--1.6.
1.23 takayama 1934: @end itemize
1935:
1936:
1.34 ohara 1937: @node asirgui.hnd,,, $B%7%9%F%`(B
1938: @subsection @code{asirgui.hnd}
1939: @findex asirgui.hnd
1.23 takayama 1940:
1941: @comment --- $B4X?t$N4JC1$J@bL@(B ---
1942: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
1943: @table @t
1.34 ohara 1944: @item asirguid.hnd
1945: :: asirgui $B$N(B main window $B$N%O%s%I%kHV9f$rJ];}$9$k%U%!%$%k(B
1.23 takayama 1946: @end table
1947:
1.34 ohara 1948: @comment ****************************************************************
1.23 takayama 1949:
1950: @itemize @bullet
1.48 ohara 1951: @item asirgui (Windows $BHG(B) $B$r5/F0$9$k$H(B $B4D6-JQ?t(B TEMP $B$G;XDj$5$l$?%U%)%k%@$K$3$N%U%!%$%k$,:n@.$5$l$k(B.
1.35 takayama 1952: @item $BCf?H$O#1#0?J@0?t$G(B, asirgui $B$N(B main window $B$N%O%s%I%k$G$"$k(B. $B$3$N%O%s%I%k$"$F$K(B PostMessage $B$r$9$l$P(B, asuirgui $B$K%-!<%\!<%I$+$iF~NO$7$?$N$HF1MM$J8z2L$,F@$i$l$k(B.
1.34 ohara 1953: @item text editor $B$G:n@.(B, $BJ]B8$7$?%U%!%$%k$r(B text editor $BB&$+$i(B asirgui $B$KFI$_9~$^$;$?$j$9$k$?$a$KMxMQ2DG=(B.
1.37 takayama 1954: @item http://www.math.kobe-u.ac.jp/Asir/Add-ons $B$K$F(B winfep.exe $B$rG[I[$7$F$$$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 1955: @end itemize
1956:
1957: @example
1.34 ohara 1958: // cl test.c user32.lib
1959:
1960: #include <windows.h>
1961: #include <stdlib.h>
1962: #include <stdio.h>
1963: #include <process.h>
1964:
1965: int main()
1966: @{
1967:
1968: HWND hnd;
1969: FILE *fp = fopen("c:/Program Files/asir/bin/asirgui.hnd","r");
1970: fscanf(fp,"%d",&hnd);
1971: fclose(fp);
1972: while (1) @{
1973: int c;
1974: c = getchar();
1975: if ( c == '#' ) break;
1976: PostMessage(hnd,WM_CHAR,c,1);
1977: @}
1978: return 0;
1979: @}
1.23 takayama 1980: @end example
1981:
1982: @table @t
1983: @item $B;2>H(B
1.34 ohara 1984: @ref{xyz_abc}
1.23 takayama 1985: @end table
1986:
1987: @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
1988: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1989: @noindent
1990: ChangeLog
1991: @itemize @bullet
1.34 ohara 1992: @item $B$3$N5!G=$O(B 2006-12-5, 2007-02-13 $B$K2C$($i$l$?(B.
1993: @item @code{OpenXM_contrib2/windows/asir32gui/asir32gui.clw} 1.11
1994: @item @code{OpenXM_contrib2/windows/asir32gui/asir32guiview.cpp} 1.15, 1.1.6
1.37 takayama 1995: @item winfep $B$O(B 2010-01-20 $B:"$KBh0lHG$,(B commit $B$5$l$?(B.
1996: @item @code{OpenXM_contrib2/windows/winfep} 1.1
1.23 takayama 1997: @end itemize
1998:
1999:
1.34 ohara 2000: @comment ****************************************************************
2001:
1.55 ! takayama 2002: @node chdir pwd,,, $B%7%9%F%`(B
1.34 ohara 2003: @subsection @code{chdir}, @code{pwd}
2004: @findex chdir
2005: @findex pwd
1.23 takayama 2006:
1.34 ohara 2007: @comment --- $B%G%#%l%/%H%jA`:n(B ---
1.23 takayama 2008: @table @t
1.34 ohara 2009: @item chdir(@var{directory})
2010: @item pwd()
2011: :: $B%7%'%k%3%^%s%I(B cd $B$H(B pwd $B$KBP1~$9$kA`:n(B.
1.23 takayama 2012: @end table
2013:
2014: @table @var
2015: @item return
1.34 ohara 2016: $BJ8;zNs(B(@code{pwd}), $B@0?t(B(@code{chdir})
2017: @item dirctory
2018: $BJ8;zNs(B
1.23 takayama 2019: @end table
2020:
2021: @itemize @bullet
1.34 ohara 2022: @item
2023: @code{pwd} $B$O%+%l%s%H%G%#%l%/%H%j$rJ8;zNs$GJV$9(B.
2024: @item
2025: @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 2026: @end itemize
2027:
2028: @example
1.34 ohara 2029: [0] S=pwd();
2030: /home/ohara
2031: [1] chdir(".../taka");
2032: -1
2033: [2] chdir("/usr/bin");
2034: 0
1.23 takayama 2035: @end example
2036:
2037: @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
2038: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2039: @noindent
2040: ChangeLog
2041: @itemize @bullet
1.34 ohara 2042: @item
2043: $B$3$l$i$N4X?t$O(B 2008-8-27 $B$K%3%_%C%H$5$l$?(B.
2044: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/miscf.c (1.27) $B$G$"$k(B.
1.23 takayama 2045: @end itemize
2046:
2047:
1.34 ohara 2048: @node dcurrenttime,,, $B%7%9%F%`(B
2049: @subsection @code{dcurrenttime}
2050: @findex dcurrenttime
1.23 takayama 2051:
1.34 ohara 2052: @comment --- $B8=:_;~9o$r<hF@(B ---
1.23 takayama 2053: @table @t
1.34 ohara 2054: @item dcurrenttime()
2055: :: $B8=:_;~9o$r<hF@(B.
1.23 takayama 2056: @end table
2057:
1.34 ohara 2058: @table @var
2059: @item return
2060: $BIbF0>.?tE@?t(B
2061: @end table
1.23 takayama 2062:
2063: @itemize @bullet
1.34 ohara 2064: @item
2065: $BJV$jCM$O(B1970$BG/(B1$B7n(B1$BF|(B0$B;~(B0$BJ,(B0$BIC$+$i$N7P2aIC?t$G$"$k(B.
1.23 takayama 2066: @end itemize
2067:
2068: @example
1.34 ohara 2069: [0] ctrl("real_digit", 16);
2070: 16
2071: [1] dcurrenttime();
2072: 1226390851.34476
2073: [2] currenttime();
2074: 1226390854
1.23 takayama 2075: @end example
2076:
2077: @table @t
2078: @item $B;2>H(B
1.34 ohara 2079: @ref{currenttime}
1.23 takayama 2080: @end table
2081:
2082: @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
2083: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2084: @noindent
2085: ChangeLog
2086: @itemize @bullet
1.34 ohara 2087: @item
2088: $B$3$N4X?t$O(B 2008-9-12 $B$K%3%_%C%H$5$l$?(B.
2089: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/time.c (1.6) $B$G$"$k(B.
1.23 takayama 2090: @end itemize
2091:
2092:
1.47 takayama 2093: @node getpid,,, $B%7%9%F%`(B
2094: @subsection @code{getpid}
2095: @findex getpid
2096:
2097: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2098: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2099: @table @t
2100: @item getpid()
2101: @end table
2102:
2103: @table @var
2104: @item return
2105: $B@0?t(B
2106: @end table
2107:
2108: @itemize @bullet
2109: @item asir $B$N%W%m%;%9HV9f$rLa$9(B.
1.48 ohara 2110: @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 2111: @end itemize
2112:
2113: @example
1.48 ohara 2114: [219] getpid();
1.47 takayama 2115: 3214
2116: @end example
2117:
2118:
2119: @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
2120: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2121: @noindent
2122: ChangeLog
2123: @itemize @bullet
2124: @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.
2125: src/asir-contrib/packages/src/misc/rr 1.3,
2126: asir2000/builtin/file.c 1.28, rat.c 1.5,
2127: asir2000/parse/puref.c 1.9 $B$r;2>H(B (2013/02/15, 18).
2128: @end itemize
2129:
2130:
1.48 ohara 2131: @node loadpath,,, $B%7%9%F%`(B
2132: @subsection @code{loadpath}
2133: @findex loadpath
2134:
2135: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2136: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2137: @table @t
2138: @item ctrl(``loadpath''[,list])
2139: @end table
2140:
2141: @table @var
2142: @item list
2143: $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B
2144: @item return
2145: $BJ8;zNs(B($B%Q%9(B)$B$N%j%9%H(B, $B$^$?$O?t(B(list$B$,M?$($i$l$?$H$-(B)
2146: @end table
2147:
2148: @itemize @bullet
2149: @item asir $B$NAH$_9~$_4X?t(B ctrl $B$N%9%$%C%A$N$R$H$D$G$"$k(B.
2150: @item asir $B$N%m!<%I%Q%9$N=PNO$^$?$O@_Dj$r9T$&(B.
2151: @end itemize
2152:
2153: @example
2154: [0] L=ctrl("loadpath");
2155: [/home/you/OpenXM/lib/asir-contrib,/home/you/OpenXM/lib/asir,.]
2156: [1] ctrl("loadpath", cons(getenv("HOME")+"/lib",L));
2157: 0
2158: @end example
2159:
2160:
2161: @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
2162: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2163: @noindent
2164: ChangeLog
2165: @itemize @bullet
2166: @item $B$3$N4X?t$O(B 2014-5-12 $B$K%3%_%C%H$5$l$?(B.
2167: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.41) $B$G$"$k(B.
2168: @end itemize
2169:
2170:
2171: @node sysinfo,,, $B%7%9%F%`(B
2172: @subsection @code{sysinfo}
2173: @findex sysinfo
2174:
2175: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2176: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2177: @table @t
2178: @item sysinfo()
2179: @end table
2180:
2181: @table @var
2182: @item return
2183: $BJ8;zNs$N%j%9%H(B
2184: @end table
2185:
2186: @itemize @bullet
2187: @item asir $B$NF0:n$7$F$$$k%*%Z%l!<%F%#%s%0%7%9%F%`$N>pJs$rJV$9(B.
2188: @item $B%j%9%H$N3F@.J,$O(B, OS$B%?%$%W(B, $B%+!<%M%kL>(B, OS$BL>(B, CPU$B%?%$%W(B, OS$B%P!<%8%g%s(B, $B40A4$J>pJs(B, $B%m%1!<%k$G$"$k(B.
2189: @item OS$B%?%$%W$O(B unix, macosx, windows $B$N$$$:$l$+$G$"$k(B.
2190: @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.
2191: windows $B$G$O(B, GetVersionEx() $B$J$I$N(B Win32 API $B$,MQ$$$i$l$F$$$k(B.
2192: @end itemize
2193:
2194: @example
2195: [0] sysinfo();
2196: [windows,WindowsNT,Windows7,x86_64,6.1.7601,WindowsNT 6.1.7601 Windows7 Service Pack 1 x86_64,ja]
2197: @end example
2198:
2199:
2200: @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
2201: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2202: @noindent
2203: ChangeLog
2204: @itemize @bullet
2205: @item $B$3$N4X?t$O(B 2014-5-14 $B$K%3%_%C%H$5$l$?(B.
2206: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/ctrl.c (1.42) $B$G$"$k(B.
2207: @end itemize
2208:
2209:
1.34 ohara 2210: @comment ****************************************************************
2211:
2212:
2213: @node $B8@8l(B,,, $B<B83E*;EMM$N4X?t(B
2214: @section $B8@8l(B
2215:
1.55 ! takayama 2216: @node get_struct_name get_element_names get_element_at put_element_at,,, $B8@8l(B
1.34 ohara 2217: @subsection @code{get_struct_name}, @code{get_element_names}, @code{get_element_at}, @code{put_element_at}
2218: @findex get_struct_name
2219: @findex get_element_names
2220: @findex get_element_at
2221: @findex put_element_at
1.23 takayama 2222:
2223: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2224: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2225: @table @t
1.34 ohara 2226: @item get_struct_name(@var{s})
2227: @itemx get_element_names(@var{s})
2228: @itemx get_element_at(@var{s},@var{key})
2229: @itemx put_element_at(@var{s},@var{key},@var{obj})
2230: :: $B9=B$BN(B @var{s} $B$KBP$9$kA`:n(B
1.23 takayama 2231: @end table
2232:
2233: @table @var
2234: @item return
1.34 ohara 2235: $BJ8;zNs(B (get_struct_name),
2236: $BJ8;zNs$N%j%9%H(B (get_element_names),
2237: $B%*%V%8%'%/%H(B (get_element_at),
2238: $B%*%V%8%'%/%H(B (put_element_at)
2239: @item s
2240: $B9=B$BN(B
2241: @item key
2242: $BJ8;zNs(B
2243: @item obj
2244: $B%*%V%8%'%/%H(B
1.23 takayama 2245: @end table
2246:
2247: @itemize @bullet
1.34 ohara 2248: @item
2249: @code{get_struct_name(s)} $B$O(B, $B9=B$BN(B @var{s} $B$NL>A0$rLa$9(B.
2250: @item
2251: @code{get_element_names(s)} $B$O(B, $B9=B$BN$N%a%s%P!<$NL>A0$N%j%9%H$rLa$9(B.
2252: @item
2253: @code{get_element_at(s,key)} $B$O9=B$BN(B s $B$N%a%s%P!<(B key $B$NCM$rLa$9(B.
2254: @item
2255: @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 2256: @end itemize
2257:
2258: @example
1.34 ohara 2259: [219] struct point @{ x, y, color@};
2260: [220] P = newstruct(point);
2261: @{0,0,0@}
2262: [221] P->x = 10$ P->y=5$ P->color="red"$
2263: [222] get_element_names(P);
2264: [x,y,color]
2265: [223] put_element_at(P,"color","blue");
2266: blue
2267: [224] P->color;
2268: bule
1.23 takayama 2269: @end example
2270:
2271: @table @t
2272: @item $B;2>H(B
1.34 ohara 2273: @ref{newstruct}, @ref{struct}
1.23 takayama 2274: @end table
2275:
2276: @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
2277: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2278: @noindent
2279: ChangeLog
2280: @itemize @bullet
1.34 ohara 2281: @item $B9=B$BN$NDj5A$rCN$i$:$K9=B$BN$r07$&%f!<%64X?t$r=q$/$H$-$KJXMx(B.
2282: asir-contrib $B$N(B noro_print.rr $B$r8+$h(B.
2283: @item OpenXM_contrib2/asir2000/builtin/compobj.c 1.8.
1.23 takayama 2284: @end itemize
2285:
2286:
1.34 ohara 2287: @comment mapat
2288: @node mapat,,, $B8@8l(B
2289: @subsection @code{mapat}
2290: @findex mapat
1.23 takayama 2291:
2292: @table @t
1.34 ohara 2293: @item mapat(@var{fname},@var{pos}[,@var{arg0}, @var{arg1}, ...])
2294: :: @var{pos} $B$KBP$9$k(B map $B4X?t(B
1.23 takayama 2295: @end table
2296:
2297: @table @var
2298: @item return
1.34 ohara 2299: $B%*%V%8%'%/%H(B
2300: @item pos
2301: $B@0?t(B
2302: @item arg0, arg1, arg2, ...
2303: $B%*%V%8%'%/%H(B
1.23 takayama 2304: @end table
2305:
2306: @itemize @bullet
1.34 ohara 2307: @item
2308: @code{map} $B4X?t$O(B 0 $BHVL\$N0z?t$KBP$7$F$7$+F0:n$7$J$$$,(B, @code{mapat}
2309: $B4X?t$O;XDj$7$?HV9f$N0z?t$KBP$7$F(B @code{map} $B4X?t$r<B9T$9$k(B.
2310: @item
2311: @code{mapat(fname,0,A0,A1,...)} $B$O(B
2312: @code{map(fname,A0,A1,...)} $B$KEy2A$G$"$k(B.
2313: @item
2314: $B<!$NI{:nMQ$,$"$k(B. $B$^$@=q$$$F$J$$(B.
1.23 takayama 2315: @end itemize
2316:
2317: @example
1.34 ohara 2318: [219] mapat(deg,1,x^2+y^3+x+y,[x,y]);
2319: [2,3]
2320: [220] mapat(subst,1,x+y+z,[x,y,z],2);
2321: [y+z+2,x+z+2,x+y+2]
1.23 takayama 2322: @end example
2323:
2324: @table @t
2325: @item $B;2>H(B
1.34 ohara 2326: @ref{map}
1.23 takayama 2327: @end table
2328:
2329: @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
2330: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2331: @noindent
2332: ChangeLog
2333: @itemize @bullet
1.34 ohara 2334: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2335: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/pf.c, subst.c $B$G$"$k(B.
1.23 takayama 2336: @end itemize
2337:
1.34 ohara 2338: @comment list
2339: @node list,,, $B8@8l(B
2340: @subsection @code{list}
2341: @findex list
1.23 takayama 2342:
2343: @table @t
1.34 ohara 2344: @item list([@var{arg0}, @var{arg1}, ...])
2345: :: list $B$r@8@.$9$k(B.
1.23 takayama 2346: @end table
2347:
2348: @table @var
2349: @item return
2350: $B%j%9%H(B
1.34 ohara 2351: @item arg0, arg1, arg2, ...
2352: $B%*%V%8%'%/%H(B
1.23 takayama 2353: @end table
2354:
1.34 ohara 2355: @itemize @bullet
2356: @item
2357: @var{arg0}, @var{arg1}, ... $B$rMWAG$H$9$k%j%9%H$r@8@.$9$k(B.
1.23 takayama 2358: @end itemize
2359:
2360: @example
1.34 ohara 2361: [219] list(1,2,3);
2362: [1,2,3]
2363: [220] list(1,2,[3,4]);
2364: [1,2,[3,4]]
1.23 takayama 2365: @end example
2366:
2367: @table @t
2368: @item $B;2>H(B
1.34 ohara 2369: @ref{cons}
1.23 takayama 2370: @end table
2371:
2372: @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
2373: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2374: @noindent
2375: ChangeLog
2376: @itemize @bullet
1.34 ohara 2377: @item $B$3$N4X?t$O(B 2004-6-22 $B$K%3%_%C%H$5$l$?(B.
2378: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B builtin/list.c $B$G$"$k(B.
1.23 takayama 2379: @end itemize
2380:
2381:
1.34 ohara 2382: @node assoc,,, $B8@8l(B
2383: @subsection @code{assoc}
2384: @findex assoc
1.23 takayama 2385:
2386: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2387: @table @t
1.34 ohara 2388: @item assoc(@var{a},@var{b})
2389: :: $BO"A[%j%9%H$r$D$/$k(B
1.23 takayama 2390: @end table
2391:
2392: @table @var
2393: @item return
1.34 ohara 2394: List
2395: @item a
2396: List
2397: @item b
2398: List
1.23 takayama 2399: @end table
2400:
2401: @itemize @bullet
1.34 ohara 2402: @item $B%j%9%H(B @var{a}, @var{b} $B$h$j(B
2403: [[@var{a}[0],@var{b}[0]], [@var{a}[1],@var{b}[1]], ...]
2404: $B$J$k?7$7$$%j%9%H$r@8@.$9$k(B.
1.23 takayama 2405: @end itemize
2406:
1.34 ohara 2407: $B2<$NNc$G$O(B @code{A} $B$KF0J*$NL>A0$,(B,
2408: @code{B} $B$KB-$NK\?t$,F~$C$F$$$k(B.
2409: @code{assoc(A,B)} $B$GF0J*$HB-$NK\?t$r%Z%"$K$7$?%j%9%H$r@8@.$9$k(B.
2410:
1.23 takayama 2411: @example
1.34 ohara 2412: [1192] A=["dog","cat","snake"];
2413: [dog,cat,snake]
2414: [1193] B=[4,4,0];
2415: [4,4,0]
2416: [1194] assoc(A,B);
2417: [[dog,4],[cat,4],[snake,0]]
1.23 takayama 2418: @end example
2419:
2420: @table @t
2421: @item $B;2>H(B
1.34 ohara 2422: @ref{cons}, @ref{append}
1.23 takayama 2423: @end table
2424:
2425: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
2426: @noindent
2427: ChangeLog
2428: @itemize @bullet
1.34 ohara 2429: @item
2430: $B$3$N4X?t$O(B 2004-6-28 $B$K=q$+$l$?(B.
2431: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B
2432: builtin/list.c 1.9
2433: parse/eval.c 1.35,
2434: parse/parse.h 1.31,
2435: parse/quote.c 1.14--1.16.
1.23 takayama 2436: @end itemize
2437:
1.34 ohara 2438:
1.55 ! takayama 2439: @node set_secure_flag set_secure_mode,,, $B8@8l(B
1.34 ohara 2440: @subsection @code{set_secure_flag}, @code{set_secure_mode}
2441: @findex set_secure_flag
2442: @findex set_secure_mode
1.23 takayama 2443:
2444: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2445: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2446: @table @t
1.34 ohara 2447: @item set_secure_flag(@var{fname},@var{m})
2448: @itemx set_secure_mode(@var{m})
2449: :: $B4X?t$N<B9T8"8B$r@_Dj$9$k(B. (web $B%5!<%S%9MQ(B)
1.23 takayama 2450: @end table
2451:
2452: @table @var
2453: @item return
2454: $B@0?t(B
1.34 ohara 2455: @item fname
2456: $BJ8;zNs(B
2457: @item m
2458: $B@0?t(B
1.23 takayama 2459: @end table
2460:
2461: @itemize @bullet
1.34 ohara 2462: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B
2463: asir $B$r(B web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2464: @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2465: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2466: $B4X?t$7$+<B9T$G$-$J$$(B.
2467: $B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2468: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2469: $B$^$?%(%i!<$N;~Ey$O(B, @code{secure_mode} $B$O(B 1 $B$K<+F0E*$KI|5"$9$k(B.
2470: $B$?$@$7(B @code{def} $B$O<B9T$G$-$J$$(B.
2471: $B8x3+$9$k4X?t$G$O(B, $B$=$N=hM}Cf$OG$0U$N4X?t$,<B9T$G$-$k$N$G(B,
2472: security $B$K==J,Cm0U$7$?<BAu$r$9$kI,MW$,$"$k(B.
2473: @item
2474: @code{set_secure_flag} $B$O(B, @var{fname} $B$N(B secure flag $B$r(B @var{m}
2475: $B$K$9$k(B.
2476: $B8x3+$9$kL?Na$O(B 1 $B$K@_Dj$9$k(B.
2477: @item
2478: @var{set_secure_mode(1)} $B$G(B @code{secure_mode} $B$,(B 1 $B$H$J$j(B,
2479: $B8x3+$5$l$?4X?t$7$+<B9T$G$-$J$/$J$k(B.
2480: quit $BEy$b<B9T$G$-$J$$$N$GCm0U(B.
2481: @item @code{ timer } $B$N0z?t$H$7$F(B secure_flag $B$r@_Dj$7$F$$$J$$4X?t$r(B
2482: $B;XDj$7$F<B9T$7$F$b%(%i!<$,I=<($5$l$J$$(B.
2483: $B$3$N$H$-$O(B, @code{ ctrl("error_in_timer",1) } $B$r<B9T$7$F$*$/(B.
1.23 takayama 2484: @end itemize
2485:
2486: @example
1.34 ohara 2487: [1194] set_secure_flag("print_input_form_",1);
2488: 1
2489: [1195] set_secure_flag("fctr",1);
2490: 1
2491: [220] set_secure_mode(1);
2492: 1
2493: [1197] fctr((x-1)^3);
2494: [[1,1],[x-1,3]]
2495: [1198] fctr(shell("ls"));
2496: evalf : shell not permitted
2497: return to toplevel
1.23 takayama 2498: @end example
2499:
2500: @table @t
2501: @item $B;2>H(B
1.34 ohara 2502: @ref{timer}
1.23 takayama 2503: @end table
2504:
2505: @noindent
2506: ChangeLog
2507: @itemize @bullet
1.34 ohara 2508: @item @code{set_secure_flag}, @code{set_secure_mode} $B$O(B asir $B$r(B
2509: web $B%5!<%PEy$G8x3+$9$k$?$a$K2C$($i$l$?4X?t(B.
2510: sm1 $B$NF1MM$J4X?t(B RestrictedMode $B$G:NMQ$5$l$?J}K!$rMQ$$$F$$$k(B.
2511: $B$D$^$j(B, @code{set_secure_flag} $B$G8x3+$9$k4X?t$r;XDj$9$k(B.
2512: @code{secure_mode} $B$,(B 1 $B$N>l9g$O(B @code{set_secure_flag} $B$G;XDj$5$l$?(B
2513: $B4X?t$7$+<B9T$G$-$J$$(B.
2514: v$B4X?t$N<B9TESCf$G$O(B @code{secure_mode} $B$,(B 0 $B$H$J$C$F$$$k$N$G(B,
2515: $BG$0U$N4X?t$r<B9T$G$-$k(B.
2516: @item $B$3$N4X?t$O(B 2004-10-27 $B$+$i(B 2004-11-22 $B$K$+$1$F3+H/$5$l$?(B.
2517: @item cgiasir.sm1, cgi-asir.sh $B$HAH$_9g$o$;$F(B cgi $B%5!<%S%9$rDs6!$9$k$?$a$K(B
2518: $BMxMQ$9$k(B.
2519: cgi-asir.sh $B$G$O(B
2520: @code{CGI_ASIR_ALLOW} $B4D6-JQ?t$G8x3+$9$k%3%^%s%I$r;XDj$9$k(B.
2521: @item
2522: 1.24--1.25 OpenXM_contrib2/asir2000/builtin/miscf.c
2523: @item
2524: 1.36--1.38 OpenXM_contrib2/asir2000/parse/eval.c
2525: @item
2526: 1.6--1.7 OpenXM_contrib2/asir2000/parse/function.c
2527: @item
2528: 1.33 OpenXM_contrib2/asir2000/parse/parse.h
1.23 takayama 2529: @end itemize
2530:
1.34 ohara 2531: @node initialize_static_variable,,, $B8@8l(B
2532: @subsection @code{initialize_static_variable}
2533: @findex initialize_static_variable
2534:
1.23 takayama 2535:
1.34 ohara 2536: @comment --- $B@bL@(B ---
1.23 takayama 2537: @table @t
1.34 ohara 2538: @item static $BJQ?t$N=i4|2=$NLdBjE@(B. $B=i4|2=$N;~$K(B segmentation fault $B$,$*$-$k(B.
1.23 takayama 2539: @end table
2540:
2541:
2542: @itemize @bullet
1.34 ohara 2543: @item static $BJQ?t$N<h07(B.
2544: $B2<$NNc$r;2>H$N$3$H(B.
1.23 takayama 2545: @end itemize
2546:
1.34 ohara 2547:
1.23 takayama 2548: @example
1.34 ohara 2549: if (1) @{
2550: module abc;
2551: static A;
2552: A=1;
2553: endmodule;
2554: @} else @{ @};
1.23 takayama 2555:
1.34 ohara 2556: end$
2557: $B$r(B t.rr $B$H$9$k$H$-(B,
1.23 takayama 2558:
1.34 ohara 2559: [6] load("./t.rr");
2560: 1
2561: internal error (SEGV)
2562: $B$H$J$k(B.
1.23 takayama 2563:
1.34 ohara 2564: t.rr $B$r(B
2565: if (1) @{
2566: module abc;
2567: static A;
2568: localf initA;
2569: localf foo;
2570: def initA() @{
2571: A=1;
2572: @}
2573: initA();
2574: def foo() @{
2575: return A;
2576: @}
2577: endmodule;
2578: @} else @{ @};
1.23 takayama 2579:
1.34 ohara 2580: end$
2581: $B$H$9$k$H@5$7$/=i4|2=$5$l$k(B.
1.23 takayama 2582: @end example
2583:
1.34 ohara 2584: @comment --- ChangeLog
1.23 takayama 2585: @noindent
2586: ChangeLog
2587: @itemize @bullet
1.34 ohara 2588: @item oxasir-win.rr $B$N<h07$GLdBjE@$H$7$FIb>e(B. 2005.07.25.
2589: @item oxasir-win.rr $B$N<h07$G(B double quote $B$N<h$j07$$$KLdBj$,$"$C$?$,(B, $B$3$l$O(B asir2000/io/ox_asir.c, 1.58, $B$GLdBjE@2r7h(B.
2590: @item ox_asir $B$K7W;;$r0MMj$9$k;~$O(B if (1) @{ ... @}$B$G0O$`(B.
1.23 takayama 2591: @end itemize
1.34 ohara 2592:
1.23 takayama 2593: @comment ****************************************************************
1.13 takayama 2594:
1.34 ohara 2595: @node $B?tO@!&Be?t(B,,, $B<B83E*;EMM$N4X?t(B
2596: @section $B?tO@!&Be?t(B
2597:
1.24 takayama 2598:
1.34 ohara 2599: @node small_jacobi,,, $B?tO@!&Be?t(B
2600: @subsection @code{small_jacobi}
2601: @findex small_jacobi
1.24 takayama 2602:
2603: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2604: @table @t
1.34 ohara 2605: @item small_jacobi(@var{a},@var{m})
2606: :: Jacobi $B5-9f$N7W;;(B
1.24 takayama 2607: @end table
2608:
1.34 ohara 2609: @table @var
2610: @item return
2611: $B@0?t(B
2612: @item arg1, arg2
2613: $B@0?t(B
2614: @end table
1.24 takayama 2615:
2616: @itemize @bullet
1.34 ohara 2617: @item
2618: @var{m} $B$,AG?t$N$H$-$O(B Legendre $B5-9f$H$h$P$l(B,
2619: x^2 = @var{a} mod @var{m} $B$K2r$,$"$k$H$-(B 1, $B2r$,$J$$$H$-(B -1 $B$r$b$I$9(B.
2620: @item
2621: Jacobi $B5-9f$O(B Legendre $B5-9f$N@Q$GDj5A$5$l$k(B ($B=iEy@0?tO@$NK\;2>H(B).
2622: @item
2623: $B$3$N4X?t$O(B machine int $B$NHO0O$G(B jacobi $B5-9f$r7W;;$9$k(B.
1.24 takayama 2624: @end itemize
2625:
2626: @example
1.34 ohara 2627: [1286] small_jacobi(2,3);
2628: -1
2629: [1287] small_jacobi(2,7);
2630: 1
1.24 takayama 2631: @end example
2632:
2633: @table @t
2634: @item $B;2>H(B
1.34 ohara 2635: http://members.jcom.home.ne.jp/yokolabo/asirlib/
2636: $B$b8+$F$M(B.
1.24 takayama 2637: @end table
2638:
2639: @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
2640: @noindent
2641: ChangeLog
2642: @itemize @bullet
1.34 ohara 2643: @item $B$3$N4X?t$NM3Mh$OITL@(B.
1.24 takayama 2644: @end itemize
2645:
1.34 ohara 2646:
2647: @node noro_matrix.rr,,, $B?tO@!&Be?t(B
1.25 takayama 2648: @subsection @code{noro_matrix.rr}
2649: @findex noro_matrix.rr
2650:
2651: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2652: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
2653: @table @t
2654: @item linalg.unit_mat(@var{arg1})
2655: @item linalg.random_rmat(@var{arg1}, @var{arg2}, @var{arg3})
2656: @item linalg.minipoly_mat(@var{arg1})
2657: @item linalg.compute_kernel(@var{arg1})
2658: @item linalg.compute_image(@var{arg1})
2659: @item linalg.jordan_canonical_form(@var{arg1})
2660: @end table
2661:
2662:
2663: @itemize @bullet
2664: @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.
2665: @end itemize
2666:
2667: @example
2668: load("noro_matrix.rr");
2669: A=newmat(4,4,[[2,0,0,0],[3,5,1,0],[-9,-9,-1,0],[-5,0,0,1]]);
2670: B=linalg.jordan_canonical_form(A);
2671: @end example
2672:
2673: @table @t
2674: @item $B;2>H(B
2675: @ref{invmat}
2676: @end table
2677:
2678: @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
2679: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2680: @noindent
2681: ChangeLog
2682: @itemize @bullet
2683: @item $B$3$N4X?t$O(B 2004-04 $B:"$+$i@~7ABe?t(BIII $B$N9V5A$r$7$J$,$i=q$+$l$?(B.
2684: @item $B%=!<%9(B: OpenXM/src/asir-contrib/packages/src/noro_matrix.rr
2685: @end itemize
2686:
2687:
1.34 ohara 2688: @node f_res,,, $B?tO@!&Be?t(B
1.26 takayama 2689: @subsection @code{f_res}
2690: @findex f_res
1.25 takayama 2691:
2692: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2693: @table @t
1.26 takayama 2694: @item f_res
1.25 takayama 2695: @end table
2696:
2697:
2698: @itemize @bullet
1.26 takayama 2699: @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 2700: @end itemize
2701:
2702: @table @t
2703: @item $B;2>H(B
2704: @ref{}
2705: @end table
2706:
2707: @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
2708: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
2709: @noindent
2710: ChangeLog
2711: @itemize @bullet
2712: @item $B$3$N%b%8%e!<%k$O(B Fujiwara $B7/$N=$;NO@J8$,85$K$J$j(B, $B$=$l$r2~B$$7$?$b$N$G$"$k(B.
1.26 takayama 2713: @item OpenXM/src/ox_cdd, OpenXM/src/asir-contrib/packages/src/f_res.rr
1.25 takayama 2714: @end itemize
2715:
2716:
1.34 ohara 2717: @node D $B2C72$N@)8B$K4X$9$k4X?t(B,,, $B<B83E*;EMM$N4X?t(B
2718: @section D $B2C72$N@)8B$K4X$9$k4X?t(B
1.27 ohara 2719:
2720:
1.34 ohara 2721: @node nk_restriction.restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2722: @subsection @code{nk_restriction.restriction}
2723: @comment --- $B:w0zMQ%-!<%o!<%I(B
2724: @findex nk_restriction.restriction
2725:
2726: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2727: @table @t
1.34 ohara 2728: @item nk_restriction.restriction(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2729: :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B,
2730: $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
1.29 nakayama 2731: @end table
2732:
2733: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2734: @table @var
2735: @item Id
2736: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2737: @item VL
2738: $BJQ?t$N%j%9%H(B
2739: @item DVL
2740: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2741: @item W
2742: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2743: @end table
2744:
2745: @itemize @bullet
2746: @item
1.52 nakayama 2747: @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$$(B.
2748: ($B$9$J$o$A(B, @code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)
1.29 nakayama 2749: @item
1.52 nakayama 2750: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
2751: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2752: x,y $B$K$D$$$F@)8B$r9T$&(B.
1.29 nakayama 2753: @end itemize
2754:
1.52 nakayama 2755: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2756: @iftex
1.29 nakayama 2757: @tex
1.34 ohara 2758: $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $
2759: @end tex
1.52 nakayama 2760: $B$H$*$$$?;~(B, D $B2C72(B
2761: @tex $M = D / I$ @end tex
2762: $B$N(B
2763: @tex $x$ @end tex
1.34 ohara 2764: @end iftex
2765: @ifinfo
1.52 nakayama 2766: I = D . @{ x dx -1, y dy - 1 @} $B$H$*$$$?;~(B,
2767: D $B2C72(B M = D / I $B$N(B x
1.34 ohara 2768: @end ifinfo
1.52 nakayama 2769: $B$K$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
1.29 nakayama 2770: @example
2771: [1432] nk_restriction.restriction([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2772: -- generic_bfct_and_gr :0.001sec(0.001629sec)
2773: generic bfct : [[1,1],[s-1,1]]
2774: S0 : 1
1.33 ohara 2775: B_@{S0@} length : 2
1.29 nakayama 2776: -- fctr(BF) + base :0.000999sec(0.0005109sec)
2777: [[y*dy-1,(y*dy-1)*dx,-1],[[1],[0]]]
2778: @end example
1.51 nakayama 2779: $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
2780: $B@)8B2C72$N4pDl(B
1.52 nakayama 2781: @iftex
1.51 nakayama 2782: @tex $\partial_x^1, \partial_x^0$ @end tex
2783: $B$r0UL#$7(B,
2784: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
2785: @tex $(y \partial_y - 1, 0), (0, y\partial_y-1), (-1,0)$ @end tex
1.52 nakayama 2786: @end iftex
2787: @ifinfo
2788: dx^1, dx^0
2789: $B$r0UL#$7(B,
2790: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@)8B2C72$O(B
2791: (y dy - 1, 0), (0, ydy-1), (-1,0)
2792: @end ifinfo
1.51 nakayama 2793: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.29 nakayama 2794:
2795: @node nk_restriction.restriction_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2796: @subsection @code{nk_restriction.restriction_ideal}
2797: @comment --- $B:w0zMQ%-!<%o!<%I(B
2798: @findex nk_restriction.restriction_ideal
2799:
2800: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2801: @table @t
1.34 ohara 2802: @item nk_restriction.restriction_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2803: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B%$%G%"%k$rJV$9(B.
1.29 nakayama 2804: @end table
2805:
2806: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2807: @table @var
2808: @item Id
2809: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2810: @item VL
2811: $BJQ?t$N%j%9%H(B
2812: @item DVL
2813: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2814: @item W
2815: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2816: @end table
2817:
2818: @itemize @bullet
2819: @item
1.52 nakayama 2820: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2821: ($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 2822: @item
1.52 nakayama 2823: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
2824: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2825: x,y $B$K$D$$$F@)8B$r9T$&(B.
1.29 nakayama 2826: @end itemize
2827:
1.52 nakayama 2828: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2829: @iftex
1.52 nakayama 2830: @tex $I = D \cdot \{x \partial_x -1, y \partial_y - 1\} $ @end tex
1.29 nakayama 2831: $B$N(B
1.52 nakayama 2832: @tex $x$ @end tex
1.34 ohara 2833: @end iftex
2834: @ifinfo
2835: I = D . @{ x dx -1, y dy - 1 @} $B$N(B x
2836: @end ifinfo
1.29 nakayama 2837: $B$K$D$$$F$N@)8B%$%G%"%k$r7W;;$7$?Nc$G$"$k!#(B
2838: @example
2839: [1346] nk_restriction.restriction_ideal([x*dx-1,y*dy-1],[x,y],[dx,dy],[1,0]);
2840: -- generic_bfct_and_gr :0.002sec(0.001652sec)
2841: generic bfct : [[1,1],[s-1,1]]
2842: S0 : 1
1.33 ohara 2843: B_@{S0@} length : 2
1.29 nakayama 2844: -- fctr(BF) + base :0sec(0.000566sec)
2845: -- restriction_ideal_internal :0.001sec(0.0007441sec)
2846: [-1]
2847: @end example
2848:
1.34 ohara 2849: @node nk_restriction.integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2850: @subsection @code{nk_restriction.integration}
2851: @comment --- $B:w0zMQ%-!<%o!<%I(B
2852: @findex nk_restriction.integration
2853:
2854: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2855: @table @t
1.34 ohara 2856: @item nk_restriction.integration(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2857: :: D $B2C72(B M = D / @var{Id} ($B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id}) $B$KBP$7$F(B, $B=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
1.29 nakayama 2858: @end table
2859:
2860: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2861: @table @var
2862: @item Id
2863: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2864: @item VL
2865: $BJQ?t$N%j%9%H(B
2866: @item DVL
2867: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2868: @item W
2869: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2870: @end table
2871:
2872: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2873: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2874: @comment --- @bullet $B$O9uE@IU$-(B ---
2875: @itemize @bullet
2876: @item
1.52 nakayama 2877: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2878: ($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 2879: @item
1.52 nakayama 2880: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
2881: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2882: x,y $B$K$D$$$F@QJ,$r9T$&(B.
1.29 nakayama 2883: @end itemize
2884:
1.52 nakayama 2885: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2886: @iftex
1.52 nakayama 2887: @tex $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\}$ @end tex
2888: $B$H$*$$$?;~(B, D $B2C72(B
2889: @tex $M = D / I$ @end tex
2890: $B$N(B
2891: @tex $t$ @end tex
1.34 ohara 2892: @end iftex
2893: @ifinfo
1.52 nakayama 2894: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @}
2895: $B$H$*$$$?;~(B, D $B2C72(B M = D / I $B$N(B t
1.34 ohara 2896: @end ifinfo
1.52 nakayama 2897: $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
1.29 nakayama 2898: @example
2899: [1351] nk_restriction.integration([2*t*dx+dt,2*x*dx+t*dt+2],[t,x],
2900: [dt,dx],[1,0]);
2901: -- generic_bfct_and_gr :0.001sec(0.001796sec)
2902: generic bfct : [[1,1],[s,1],[s-1,1]]
2903: S0 : 1
1.33 ohara 2904: B_@{S0@} length : 2
1.29 nakayama 2905: -- fctr(BF) + base :0.001sec(0.0006731sec)
2906: [[4*x*dx^2+6*dx,-4*t*x*dx^2-6*t*dx,2*x*dx+1,-2*t*x*dx,2*t*dx],[[1],[0]]]
2907: @end example
1.51 nakayama 2908: $BJV$jCM$NBh(B 1 $BHVL\$NMWAG(B @code{[[1],[0]]]} $B$O(B,
2909: $B@QJ,2C72$N4pDl(B
1.52 nakayama 2910: @iftex
1.51 nakayama 2911: @tex $t^1, t^0$ @end tex
1.52 nakayama 2912: @end iftex
2913: @ifinfo
2914: t^1, t^0
2915: @end ifinfo
1.51 nakayama 2916: $B$r0UL#$7(B,
2917: $BJV$jCM$NBh(B 0 $BHVL\$NMWAG$+$i(B, $B@QJ,2C72$O(B
1.52 nakayama 2918: @iftex
1.51 nakayama 2919: @tex $(4 x \partial_x^2 + 6 \partial_x, 0), (0, -4 x \partial_x^2 - 6 \partial_x),
2920: (0, -2 x \partial_x), (0, 2 \partial_x)$ @end tex
1.52 nakayama 2921: @end iftex
2922: @ifinfo
2923: (4 x dx^2 + 6 dx, 0), (0, -4 x dx^2 - 6 dx),
2924: (0, -2 x dx), (0, 2 dx)
2925: @end ifinfo
1.51 nakayama 2926: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.29 nakayama 2927:
1.34 ohara 2928: @node nk_restriction.integration_ideal,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.29 nakayama 2929: @subsection @code{nk_restriction.integration_ideal}
2930: @comment --- $B:w0zMQ%-!<%o!<%I(B
2931: @findex nk_restriction.integration_ideal
2932:
2933: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2934: @table @t
1.34 ohara 2935: @item nk_restriction.integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 2936: :: $B%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{Id} $B$r=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,%$%G%"%k$rJV$9(B.
1.29 nakayama 2937: @end table
2938:
2939: @comment --- $B0z?t$N4JC1$J@bL@(B ---
2940: @table @var
2941: @item Id
2942: $B%$%G%"%k$N@8@.85$N%j%9%H(B
2943: @item VL
2944: $BJQ?t$N%j%9%H(B
2945: @item DVL
2946: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
2947: @item W
2948: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
2949: @end table
2950:
2951: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
2952: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
2953: @comment --- @bullet $B$O9uE@IU$-(B ---
2954: @itemize @bullet
2955: @item
1.52 nakayama 2956: @var{W} $B$NMWAG$OHsIi@0?t$G(B, 0 $BHVL\$NMWAG$+$iO"B3$7$F@5$N@0?t$,F~$i$J$1$l$P$J$i$J$$(B.
2957: ($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 2958: @item
1.52 nakayama 2959: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
2960: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,1,0]} $B$G$"$l$P(B,
2961: x,y $B$K$D$$$F@QJ,$r9T$&(B.
1.29 nakayama 2962: @end itemize
2963:
1.52 nakayama 2964: $B0J2<$O(B, $B%$%G%"%k(B
1.34 ohara 2965: @iftex
2966: @tex
1.29 nakayama 2967: $I = D \cdot \{2 t \partial_x + \partial_t, t \partial_t + 2 x \partial_x + 2\} $
1.34 ohara 2968: @end tex
1.29 nakayama 2969: $B$N(B
1.52 nakayama 2970: @tex $t$ @end tex
1.34 ohara 2971: @end iftex
2972: @ifinfo
2973: I = D . @{2 t dx + dt, t dt + 2 x dx + 2 @} $B$N(B t
2974: @end ifinfo
1.52 nakayama 2975: $B$K$D$$$F$N@QJ,%$%G%"%k$r7W;;$7$?Nc$G$"$k(B. ([SST, Ex5.5.2, Ex5.5.6])
1.29 nakayama 2976: @example
2977: [1431] nk_restriction.integration_ideal([2*t*dx+dt,t*dt+2*x*dx+2],[t,x],
2978: [dt,dx],[1,0]);
2979: -- generic_bfct_and_gr :0.002999sec(0.002623sec)
2980: generic bfct : [[1,1],[s,1],[s-1,1]]
2981: S0 : 1
1.33 ohara 2982: B_@{S0@} length : 2
1.29 nakayama 2983: -- fctr(BF) + base :0.001sec(0.001091sec)
2984: -- integration_ideal_internal :0.002sec(0.001879sec)
2985: [2*x*dx+1]
2986: @end example
2987:
1.42 nisiyama 2988: @node nk_restriction.ann_mul,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
2989: @subsection @code{nk_restriction.ann_mul}
2990: @comment --- $B:w0zMQ%-!<%o!<%I(B
2991: @findex nk_restriction.ann_mul
2992:
2993: @comment --- $B4X?t$N4JC1$J@bL@(B ---
2994: @table @t
2995: @item nk_restriction.ann_mul(@var{I}, @var{J}, @var{VL}, @var{DVL})
2996: :: @var{f} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k(B @var{I},
2997: @var{g} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$r(B @var{J} $B$H$7$?$H$-(B,
2998: @var{fg} $B$rNm2=$9$k%[%m%N%_%C%/(B D $B%$%G%"%k$rJV$9(B.
2999: @end table
3000:
3001: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3002: @table @var
3003: @item I
3004: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3005: @item J
3006: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3007: @item VL
3008: $BJQ?t$N%j%9%H(B
3009: @item DVL
3010: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3011: @end table
3012:
3013: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3014: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3015: @comment --- @bullet $B$O9uE@IU$-(B ---
3016: @itemize @bullet
3017: @item test_ann_mul(), test_ann_mul2(), test_ann_mul3() $B$r;2>H(B.
3018: @end itemize
3019:
3020:
3021: @node nk_restriction (option) ,,, D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N@bL@(B (option)
1.36 nisiyama 3022: @subsection @code{nk_restriction (option)}
3023: @comment --- $B:w0zMQ%-!<%o!<%I(B
3024: @findex nk_restriction (option)
3025:
3026: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3027: @table @t
3028: @item nk_restriction.restriction(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 3029: @item nk_restriction.restriction_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 3030: @item nk_restriction.integration(... | inhomo=@var{n}, param=@var{p}, s0=@var{m})
1.39 nisiyama 3031: @item nk_restriction.integration_ideal(... | inhomo=@var{n}, param=@var{p}, s0=@var{m}, ht=@var{b}, ord=@var{ord})
1.36 nisiyama 3032: :: D $B2C72$N@)8B(B, $B@QJ,$K4X$9$k4X?t$N%*%W%7%g%s$N@bL@(B
3033: @end table
3034:
3035: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3036: @table @var
3037: @item @var{n}
3038: 0 $B$^$?$O(B 1
3039: @item @var{p}
3040: $B%j%9%H(B ($B78?tBN$KB0$9$kJQ?t$N%j%9%H(B)
3041: @item @var{m}
3042: $B@0?t(B
1.39 nisiyama 3043: @item @var{b}
3044: 0, 1, 2, 3 $B$N$$$:$l$+(B
3045: @item @var{ord}
3046: $B=E$_(B0$B$NJQ?t$KBP$9$k9`=g=x(B
1.36 nisiyama 3047: @end table
3048:
3049: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3050: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3051: @comment --- @bullet $B$O9uE@IU$-(B ---
3052: @itemize @bullet
3053: @item @var{n} $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$N7W;;$r9T$&(B.
3054:
3055: restriction_ideal (integration_ideal) $B$K4X$7$F$O(B, $B%$%G%"%k(B @code{I} $B$N(B
3056: @code{M} $BJQ?t$K$D$$$F$N@)8B(B($B@QJ,(B)$B%$%G%"%k(B @code{J} $B$H(B
3057:
3058: @iftex
3059: @tex
3060: {\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}
3061: @end tex
3062: @end iftex
3063: @ifinfo
3064: 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
3065: @end ifinfo
3066:
3067: $B$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.
3068: $B>\$7$$=PNO$N8+J}$K$D$$$F$O(B, $B2<$NNc$d%=!<%9$N(B @code{inhomo_part} $B$N(B
3069: $B%3%a%s%H$r;2>H(B.
3070:
3071: restriction, integration $B$KBP$9$k(B @code{inhomo} $B%*%W%7%g%s$O(B
3072: restriction_ideal, integration_ideal $B$N%5%V%k!<%A%s$H$7$F$N<B9TMQ$J$N$G(B,
3073: $B%f!<%6$,L@<(E*$K;HMQ$9$k$3$H$O$J$$(B.
3074:
3075: @item @var{param} $B$K;XDj$5$l$?JQ?t$O78?tBN$KB0$9$k$b$N$H$_$J$5$l$F7W;;$,9T$o$l$k(B.
3076: $B$^$?(B, ``generic'' $B$G$"$k$3$H$,2>Dj$5$l$k(B.
3077: $B$D$^$j(B, $B$3$l$i$NJQ?t$K0MB8$9$k$h$&$J(B generic b-$B4X?t$N:,$O(B,
3078: $B:GBg@0?t:,$G$J$$$H$$$&$3$H$G$"$k(B.
3079:
3080: @item @var{param} $B$,;XDj$5$l$k$H(B, generic b-$B4X?t$N7W;;$O(B noro $B$K$h$k(B
3081: $B9bB.%"%k%4%j%:%`$G$O$J$/(B, $B>C5nK!$,MQ$$$i$l$k(B.
3082: @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
3083: $BMxMQ$G$-$k(B.
3084:
3085: @item @var{m} $B$,Ii$G$J$$$H$-(B, $B7W;;$r9T$o$:$K(B s-m $B$r(B generic b-$B4X?t$H$7$F(B
3086: $B@)8B(B, $B@QJ,Ey$N7W;;$r9T$&(B.
1.39 nisiyama 3087:
3088: @item @var{b} $B$K$h$j(B, $B2C72$N%0%l%V%J4pDl7W;;$K@F<!2=(B, trace $B%"%k%4%j%:%`(B
3089: $B$rMQ$$$k$+$I$&$+;XDj$G$-$k(B.
3090: $B$?$@$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.
3091:
3092: 0: $B@F<!2=$J$7(B, trace $B$J$7(B
3093:
3094: 1: $B@F<!2=$J$7(B, trace $B$"$j(B
3095:
3096: 2: $B@F<!2=$"$j(B, trace $B$J$7(B ($B%G%U%)%k%H(B)
3097:
3098: 3: $B@F<!2=$"$j(B, trace $B$"$j(B
3099:
3100: @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
3101: $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
3102: $B$H$7$F;HMQ$5$l$k$N$G7W;;8zN($KBg$-$J1F6A$rM?$($k2DG=@-$,$"$k(B.
3103: $B%G%U%)%k%H$O(B 0, $B$D$^$jA4<!?t5U<!=q<0=g=x$G$"$k(B.
3104:
3105: $B$3$N%*%W%7%g%s$O(B @var{param} $B$HF1;~MxMQ$G$-$J$$(B. ($B8e$KBP1~M=Dj(B.)
1.36 nisiyama 3106: @end itemize
3107:
3108: $B0J2<$O(B,
3109: @iftex
3110: @tex
3111: $ t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a} $
3112: @end tex
3113: $B$N(B annihilator
3114: @tex
3115: $I = D \cdot \{ x(1-x) \partial_x^2+((1-t) \partial_t-(a+b+1)x+c-1)
3116: \partial_x-ab, (1-t)x \partial_x+t(1-t) \partial_t+(2-c)t+b-1,
3117: (xt-1) \partial_x+at \}$
3118: @end tex
3119: $B$N(B
3120: @tex
3121: $t$
3122: @end tex
3123: $B$K$D$$$F$N@QJ,%$%G%"%k(B
3124: @tex
3125: $J$
3126: @end tex
3127: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3128: @end iftex
3129: @ifinfo
3130: t^{b-1} (1-t)^{c-b-1} (1-xt)^{-a}
3131: $B$N(B annihilator
3132: I = D . @{ x(1-x)dx^2+((1-t)dt-(a+b+1)x+c-1)dx-ab,
3133: (1-t)x dx+t(1-t)dt+(2-c)t+b-1, (xt-1)dx+at @}
3134: $B$N(B t $B$K$D$$$F$N@QJ,%$%G%"%k(B J
3135: $B$r7W;;$7(B, Gauss $B$ND64v2?HyJ,J}Dx<0$rF3=P$7$?Nc$G$"$k(B. ([SST, Chap 1.3])
3136: @end ifinfo
3137: @example
3138: [1555] A=ndbf.ann_n([t,1-t,1-x*t])$
3139: [1556] I=map(subst,A,s0,b-1,s1,c-b-1,s2,-a);
3140: [(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]
3141: [1557] J=nk_restriction.integration_ideal(I,[t,x],[dt,dx],[1,0]|inhomo=1, param=[a,b,c]);
3142: -- nd_weyl_gr :0sec(0.001875sec)
3143: -- weyl_minipoly_by_elim :0.008001sec(0.006133sec)
3144: -- generic_bfct_and_gr :0.008001sec(0.006181sec)
3145: generic bfct : [[-1,1],[s,1],[s-a+c-1,1]]
3146: S0 : 0
3147: B_{S0} length : 1
3148: -- fctr(BF) + base :0sec(0.003848sec)
3149: -- integration_ideal_internal :0sec(0.07707sec)
3150: [[(x^2-x)*dx^2+((a+b+1)*x-c)*dx+b*a],[[[[dt,(-t+1)*dx]],1]]]
3151: @end example
3152: @iftex
3153: $B$3$N=PNO$O(B
3154: @tex
3155: $\{(x^2-x) \partial_x^2+((a+b+1)x-c) \partial_x+ab \}
3156: - 1/1 \{ \partial_t (-t+1) \partial_x \} \in I$
3157: @end tex
3158: $B$G$"$k$3$H$r0UL#$9$k(B.
3159: @end iftex
3160: @ifinfo
3161: $B$3$N=PNO$O(B
3162: @{(x^2-x)dx^2+((a+b+1)x-c)dx+ab @} - 1/1 @{ dt (-t+1)dx @} \in I
3163: $B$G$"$k$3$H$r0UL#$9$k(B.
3164: @end ifinfo
3165:
1.42 nisiyama 3166: @node nk_restriction.trans_inhomo,,, D $B2C72$N@QJ,%$%G%"%k$NHs@F<!ItJ,$K4X$9$k4X?t(B
1.39 nisiyama 3167: @subsection @code{nk_restriction.trans_inhomo}
3168: @comment --- $B:w0zMQ%-!<%o!<%I(B
1.42 nisiyama 3169: @findex nk_restriction.trans_inhomo
1.39 nisiyama 3170:
3171: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3172: @table @t
3173: @item nk_restriction.trans_inhomo(@var{P}, @var{INT}, @var{VL}, @var{DVL}, @var{W})
3174: :: 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
3175: @end table
3176:
3177: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3178: @table @var
3179: @item P
3180: $B@QJ,%$%G%"%k$N85(B, $B$^$?$O@)8B%$%G%"%k$N85(B
3181: @item INT
3182: nk_restriction.integration_ideal( ... |inhomo=1); $B$^$?$O(B
3183:
3184: nk_restriction.restriction_ideal( ... |inhomo=1); $B$N=PNO(B
3185: @item VL
3186: $BJQ?t$N%j%9%H(B
3187: @item DVL
3188: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3189: @item W
3190: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3191: @end table
3192:
3193: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3194: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3195: @comment --- @bullet $B$O9uE@IU$-(B ---
3196: @itemize @bullet
3197: @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.
3198: @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$$>l9g$O%(%i!<%a%C%;!<%8$,I=<($5$l$k(B.
3199: @end itemize
3200:
1.42 nisiyama 3201: @node nk_restriction.ost_integration_ideal,,, D $B2C72$N@QJ,%$%G%"%k(B
3202: @subsection @code{nk_restriction.ost_integration_ideal}
3203: @comment --- $B:w0zMQ%-!<%o!<%I(B
3204: @findex nk_restriction.ost_integration_ideal
3205:
3206: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3207: $B@QJ,NN0h$,6h4V$ND>@Q$G$"$k$h$&$J@QJ,$NK~$?$9(B
1.43 nisiyama 3208: $B%[%m%N%_%C%/@F<!HyJ,J}Dx<07O$rJV$9(B (Oaku-Shiraki-Takayama, 2003).
1.42 nisiyama 3209: @table @t
3210: @item nk_restriction.ost_integration_ideal(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3211: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K%7%g!<%H%+%C%HK!$rMQ$$$k(B.
3212: @item nk_restriction.ost_integration_ideal2(@var{Id}, @var{VL}, @var{DVL}, @var{W}, @var{LB}, @var{UB})
3213: :: Heaviside $B4X?t$H$N@Q$NK~$?$9HyJ,J}Dx<07O$N7W;;$K@)8B%$%G%"%k$rMQ$$$k(B.
3214: @end table
3215:
3216: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3217: @table @var
3218: @item Id
3219: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3220: @item VL
3221: $BJQ?t$N%j%9%H(B
3222: @item DVL
3223: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3224: @item W
3225: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3226: @item LB
3227: $B@QJ,6h4V$N2<C<$rI=$9%j%9%H(B
3228: @item UB
3229: $B@QJ,6h4V$N>eC<$rI=$9%j%9%H(B
3230: @end table
3231:
3232: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3233: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3234: @comment --- @bullet $B$O9uE@IU$-(B ---
3235: @itemize @bullet
3236: @item $B2<C<(B, $B>eC<$KL58BBg$r;XDj$9$k$H$-$O(B, $BJ8;zNs(B "inf", "+inf", "-inf" $B$rMQ$$$k(B.
3237: @end itemize
3238:
1.43 nisiyama 3239: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B5.1$B$r7W;;$7$?$b$N$G$"$k(B.
1.42 nisiyama 3240: @iftex
3241: @tex
3242: $ \int_0^\infty \exp((-t^3+t)x) dt $
3243: @end tex
1.44 nisiyama 3244: $B$NHo@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
1.42 nisiyama 3245: @tex
3246: $ I = \langle \partial_t +(3t^2-1)x, \partial_x+t^3-t \rangle $
3247: @end tex
3248: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3249: @end iftex
3250: @ifinfo
3251: \int_0^$B!g(B exp((-t^3+t)x) dt
3252: $B$NHs@QJ,4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3253: I = < dt +(3t^2-1)x, dx+t^3-t >
3254: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3255: @end ifinfo
3256: @example
3257: [1871] Id=[dt+(3*t^2-1)*x, dx+t^3-t]$
3258: [1872] VL=[t,x]$
3259: [1873] DVL=[dt,dx]$
3260: [1874] W=[1,0]$
3261: [1875] nk_restriction.ost_integration_ideal(Id,VL,DVL,W,[0],["inf"]);
3262: -- nd_weyl_gr :0.008sec(0.006768sec)
3263: -- weyl_minipoly :0.004001sec(0.003029sec)
3264: -- generic_bfct_and_gr :0.012sec(0.0129sec)
3265: generic bfct : [[1,1],[s,1],[s-2,1]]
3266: S0 : 2
3267: B_{S0} length : 3
3268: -- fctr(BF) + base :0.008sec(0.007395sec)
3269: -- integration_ideal_internal :0.012sec + gc : 0.016sec(0.04311sec)
3270: [-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]
3271:
3272:
3273: [1876] nk_restriction.ost_integration_ideal2(Id,VL,DVL,W,[0],["inf"]);
3274: ($BN,(B)
3275: [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]
3276: @end example
3277: $B$3$N=PNO$O(B, $B@QJ,$rNm2=$9$k%[%m%N%_%C%/7O$G$"$k(B.
3278:
1.44 nisiyama 3279: @node nk_restriction.ost_sum,,, D $B2C72$N@QJ,%$%G%"%k(B
3280: @subsection @code{nk_restriction.ost_sum}
3281: @comment --- $B:w0zMQ%-!<%o!<%I(B
3282: @findex nk_restriction.ost_sum
3283:
3284: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3285: @table @t
3286: @item nk_restriction.ost_sum(@var{Id}, @var{VL}, @var{DVL}, @var{W})
3287: :: $BOB$NK~$?$9(B($B@F<!(B/$BHs@F<!(B)$B:9J,J}Dx<07O$rJV$9(B.
3288: @end table
3289:
3290: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3291: @table @var
3292: @item Id
3293: $B%$%G%"%k$N@8@.85$N%j%9%H(B
3294: @item VL
3295: $BJQ?t$N%j%9%H(B
3296: @item DVL
3297: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$k:9J,:nMQAG$NJ}$NJQ?t(B)
3298: @item W
3299: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3300: @end table
3301:
3302: @comment --- $B$3$3$G4X?t$N>\$7$$@bL@(B ---
3303: @comment --- @itemize$B!A(B@end itemize $B$O2U>r=q$-(B ---
3304: @comment --- @bullet $B$O9uE@IU$-(B ---
3305: @itemize @bullet
3306: @item Oaku-Shiraki-Takayama (2003) $B$NBh(B6$B@a$N%"%k%4%j%:%`$N<BAu(B.
3307: @item $B%*%W%7%g%s(B inhomo $B$,(B 0 $B$G$J$$$H$-(B, $BHs@F<!ItJ,$rM?$($k>pJs$bJV$9(B.
3308: @end itemize
3309:
3310: $B0J2<$O(B, Oaku-Shiraki-Takayama (2003) $B$NNc(B6.5$B$NHs@F<!ItJ,$^$G7W;;$7$?$b$N$G$"$k(B.
3311: @iftex
3312: @tex
3313: $ \sum_{k=a}^b {n \choose k} $
3314: @end tex
3315: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3316: @tex
3317: $ I = \langle (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) \rangle $
3318: @end tex
3319: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3320: @end iftex
3321: @ifinfo
3322: \sum_{k=a}^b n_C_k
3323: $B$NHsOB4X?t$NK~$?$9%[%m%N%_%C%/%$%G%"%k$O(B
3324: I = < (n-k+1)E_n-(n+1), (k+1)E_k-(n-k) >
3325: $B$G$"$k$+$i(B, $B$3$l$rF~NO$H$7$F<!$N$h$&$K7W;;$r9T$&(B.
3326: @end ifinfo
3327: @example
3328: [1871] Id=[(n-k+1)*en-(n+1), (k+1)*ek-(n-k)]$
3329: [1872] VL=[k,n]$
3330: [1873] DVL=[ek,en]$
3331: [1874] W=[1,0]$
3332: [1875] nk_restriction.ost_sum(Id,VL,DVL,W|inhomo=1);
3333: -- nd_weyl_gr :0.006667sec(0.004057sec)
3334: -- weyl_minipoly :0sec(0.001163sec)
3335: -- generic_bfct_and_gr :0.01sec(0.007085sec)
3336: generic bfct : [[1,1],[s,1]]
3337: S0 : 0
3338: B_{S0} length : 1
3339: -- fctr(BF) + base :0.003333sec(0.001785sec)
3340: -- restriction_ideal_internal :0sec(0.002336sec)
3341: [[(en-2)*n+en-2],[[[[ek-1,[(-en+1)*n-en+1,1]]],1]]]
3342: @end example
3343:
1.53 nakayama 3344: @node nk_restriction.module_restriction,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.51 nakayama 3345: @subsection @code{nk_restriction.module_restriction}
3346: @comment --- $B:w0zMQ%-!<%o!<%I(B
3347: @findex nk_restriction.module_restriction
3348:
3349: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3350: @table @t
3351: @item nk_restriction.module_restriction(@var{M}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 3352: :: D $B2C72(B D^r/@var{M} (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@)8B2C72$rJV$9(B.
1.51 nakayama 3353: @end table
3354:
3355: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3356: @table @var
1.52 nakayama 3357: @item M
3358: D $B<+M32C72(B D^r $B$NItJ,2C72(B
1.51 nakayama 3359: @item VL
3360: $BJQ?t$N%j%9%H(B
3361: @item DVL
3362: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3363: @item W
3364: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3365: @end table
3366:
3367: @itemize @bullet
3368: @item
3369: @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$$(B.
3370: @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
3371: $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@)8B$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
3372: @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
3373: @item
3374: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@)8B$r9T$&(B.
3375: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
3376: x $B$K$D$$$F@)8B$r9T$&(B.
3377: @end itemize
3378:
1.52 nakayama 3379: $B0J2<$O(B, D $B<+M32C72(B
1.51 nakayama 3380: @iftex
1.52 nakayama 3381: @tex $D^2$ @end tex
3382: $B$NItJ,2C72(B
1.51 nakayama 3383: @tex
3384: $M = D \cdot \{(\partial_x, \partial_y), (\partial_y, \partial_x), (x,y) \}$
3385: @end tex
1.52 nakayama 3386: $B$r$H$j(B, D $B2C72(B
3387: @tex $D^2 / M$ @end tex
3388: $B$N(B
3389: @tex $x$ @end tex
3390: @end iftex
1.51 nakayama 3391: @ifinfo
1.52 nakayama 3392: D^2 $B$NItJ,2C72(B M = D . @{ (dx, dy), (dy, dx), (x, y) @}
3393: $B$r$H$j(B, D $B2C72(B D^2 / M $B$N(B x
1.51 nakayama 3394: @end ifinfo
1.52 nakayama 3395: $B$D$$$F$N@)8B2C72$r7W;;$7$?Nc$G$"$k(B.
1.51 nakayama 3396: @example
3397: [2691] nk_restriction.module_restriction([[dx,dy],[dy,dx],[x,y]], [x,y], [dx,dy], [1,0]);
3398: ....
3399: bfunction :
3400: s
3401: [[1,1],[s,1]]
3402: integer roots :
3403: [0,0]
3404: Generators:
3405: [e1,e2]
3406: Relations:
3407: [-8*e2*dy,4*e2*dy^2,-4*e2*dy^3,4*e1*y*dy-4*e1,-4*e1*dy^2,-4*e2,-e2*y*dy^2+2*e2*dy,-e1*y*dy+e1,e1*y*dy-e1]
3408: [[0,-1],[-dy^2,0],[y*dy-1,0]]
3409: @end example
3410: $B@)8B2C72$O(B
1.52 nakayama 3411: @iftex
1.51 nakayama 3412: @tex $(0, -1), (-\partial_y^2, 0), (y \partial_y -1 , 0)$ @end tex
1.52 nakayama 3413: @end iftex
3414: @ifinfo
3415: (0, -1), (-dy^2, 0), (y, dy-1, 0)
3416: @end ifinfo
1.51 nakayama 3417: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
3418:
1.53 nakayama 3419: @node nk_restriction.module_integration,,, D $B2C72$N@)8B$K4X$9$k4X?t(B
1.51 nakayama 3420: @subsection @code{nk_restriction.module_integration}
3421: @comment --- $B:w0zMQ%-!<%o!<%I(B
3422: @findex nk_restriction.module_integration
3423:
3424: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3425: @table @t
3426: @item nk_restriction.module_integration(@var{M}, @var{VL}, @var{DVL}, @var{W})
1.52 nakayama 3427: :: D $B2C72(B D^r/M (@var{M} $B$O(B D^r $B$NItJ,2C72(B) $B$N=E$_%Y%/%H%k(B @var{W} $B$K$D$$$F$N@QJ,2C72$rJV$9(B.
1.51 nakayama 3428: @end table
3429:
3430: @comment --- $B0z?t$N4JC1$J@bL@(B ---
3431: @table @var
1.52 nakayama 3432: @item M
3433: D $B<+M32C72(B D^r $B$NItJ,2C72(B
1.51 nakayama 3434: @item VL
3435: $BJQ?t$N%j%9%H(B
3436: @item DVL
3437: $BJQ?t$N%j%9%H(B(@var{VL} $B$KBP1~$9$kHyJ,:nMQAG$NJ}$NJQ?t(B)
3438: @item W
3439: $B=E$_%Y%/%H%k$rI=$9%j%9%H(B
3440: @end table
3441:
3442: @itemize @bullet
3443: @item
3444: @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$$(B.
3445: @comment{($B$9$J$o$A!"(B@code{[1,1,0,0,0]} $B$O(B OK $B$@$,!"(B @code{[1,0,1,0,0]} $B$O%@%a(B)}
3446: $B8=:_$N$H$3$m(B, 1 $BJQ?t$K$D$$$F$@$1@QJ,$r$H$k$h$&$K$7$+<BAu$7$F$$$J$$$?$a(B,
3447: @var{W} $B$O(B 0 $BHVL\$NMWAG$@$1@5$N@0?t$,F~$k(B.
3448: @item
3449: $B@5$N=E$_$r;}$DJQ?t$K$D$$$F$N@QJ,$r9T$&(B.
3450: $BNc$($P(B, @var{VL} @code{=[x,y,z]}, @var{W} @code{=[1,0,0]} $B$G$"$l$P(B
3451: x $B$K$D$$$F@QJ,$r9T$&(B.
3452: @end itemize
3453:
1.52 nakayama 3454: $B0J2<$O(B, D $B<+M32C72(B
1.51 nakayama 3455: @iftex
1.52 nakayama 3456: @tex $D^2$ @end tex
3457: $B$NItJ,2C72(B
3458: @tex $M = D \cdot \{(x, y), (y, x), (\partial_x, \partial_y) \}$ @end tex
3459: $B$r$H$j(B, D $B2C72(B
3460: @tex $D^2/M$ @end tex
1.51 nakayama 3461: $B$N(B
1.52 nakayama 3462: @tex $x$ @end tex
3463: @end iftex
1.51 nakayama 3464: @ifinfo
1.52 nakayama 3465: D^2 $B$NItJ,2C72(B M = D . @{ (x, y), (y, x), (dx, dy) @} $B$r$H$j(B,
3466: D $B2C72(B D^2 / M $B$N(B x
1.51 nakayama 3467: @end ifinfo
1.52 nakayama 3468: $B$K$D$$$F$N@QJ,2C72$r7W;;$7$?Nc$G$"$k(B.
1.51 nakayama 3469: @example
3470: [2702] nk_restriction.module_integration([[x,y],[y,x],[dx,dy]], [x,y], [dx,dy], [1,0]);
3471: ...
3472: bfunction :
3473: s
3474: [[1,1],[s,1]]
3475: integer roots :
3476: [0,0]
3477: Generators:
3478: [e1,e2]
3479: Relations:
3480: [-8*e2*y,-4*e2*y^2,-4*e2*y^3,-4*e1*y*dy-8*e1,-4*e1*y^2,-4*e2,-e2*y^2*dy-4*e2*y,e1*y*dy+2*e1,e1*y*dy+2*e1]
3481: [[0,-1],[y*dy+2,0],[-y^2,0]]
3482: @end example
3483: $B@QJ,2C72$O(B
1.52 nakayama 3484: @iftex
1.51 nakayama 3485: @tex $(0, -1), (y \partial_y + 2, 0), (-y^2, 0)$ @end tex
1.52 nakayama 3486: @end iftex
3487: @ifinfo
3488: (0, -1), (y dy + 2, 0), (-y^2, 0)
3489: @end ifinfo
1.51 nakayama 3490: $B$G@8@.$5$l$k$3$H$,$o$+$k(B.
1.44 nisiyama 3491:
1.30 takayama 3492: @noindent
3493: ChangeLog
3494: @itemize @bullet
3495: @item $B$3$l$i$N4X?t$O(B OpenXM/src/asir-contrib/packages/src/nk_restriction.rr $B$GDj5A$5$l$F$$$k(B. nk_restriction.rr, 1.1--1.6 $B$r8+$h(B.
1.39 nisiyama 3496: @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.
3497: @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
3498: $B?7$?$J4X?t(B trans_inhomo() $B$,DI2C$5$l$?(B. 1.10--1.13 $B$r8+$h(B.
1.44 nisiyama 3499: @item 2011-08 $B$K(B ost_sum() $B$,DI2C$5$l$?(B. 1.20 $B$r8+$h(B.
1.51 nakayama 3500: @item 2016-05 $B$K(B module_integration(), module_restriction() $B$,DI2C$5$l$?(B.
1.30 takayama 3501: @end itemize
3502:
1.37 takayama 3503: @node $B$=$NB>(B($BL$J,N`(B),,, $B<B83E*;EMM$N4X?t(B
3504: @section $B$=$NB>(B($BL$J,N`(B)
3505:
3506: @node tk_pfn.rkn,,, $B<B83E*;EMM$N4X?t(B
3507: @subsection @code{tk_pfn.rkn}
3508: @findex tk_pfn.rkn
3509:
3510: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3511: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3512: @table @t
3513: @item tk_pfn.rkn(@var{F},@var{X},@var{Y},@var{Xs},@var{Ys},@var{Ht},@var{H})
3514: :: Pfaffian $BJ}Dx<0$KBP$9$k(B Runge-Kutta $BK!(B
3515: @end table
3516:
3517: @table @var
3518: @item return
3519: $B%j%9%H(B $BFHN)JQ?t$H2r$NAH(B
3520: @item F, X, Y, Xs, Ys, Ht, H
3521: @var{F} $B$O(B Pfaffian $BJ}Dx<0$N78?t9TNs%j%9%H(B.
3522: @var{X} $B$OFHN)JQ?t%j%9%H(B.
3523: @var{Y} $B$O=>B0JQ?t%j%9%H(B.
3524: @var{Xs} $BFHN)JQ?t$N=PH/CM%j%9%H(B.
3525: @var{Ys} $B$O=PH/;~$N=>B0JQ?t$NCM%j%9%H(B.
3526: @var{Xt} $B$ODd;_$9$kFHN)JQ?t$NCM%j%9%H(B.
3527: @var{H} $B$OHy>/?t(B.
3528: @end table
3529:
3530: @itemize @bullet
3531: @item $B$3$N4X?t$OO"N)(BPfaffian$BJ}Dx<0(B dY/d X[i] = F[i] Y $B$r?tCME*$K2r$/(B.
3532: @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$$$k(B.
3533: @item d F[i]/d X[j] + F[i] F[j] = d F[j]/d X[i] + F[j] F[i] = 0 $B$,G$0U$N(B i, j $B$KBP$7$F@.N)$7$F$$$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.
3534: @item X[i] $B$,F0$/HO0O$O<B?t$G$J$$$H$$$1$J$$(B.
3535: @item Xs[i] <= X[i] <= Xt[i] $B$^$?$O(B Xt[i] <= X[i] <= Xs[i] $B$G$"$k(B.
3536: @item $B0z?t$NM?$(J}$NNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/tk_pfn.rr} )$B$N(B @code{tk_pfn.test1}, @code{tk_pfn.test2} $B$r;2>H(B.
3537: @item $B2<$NNc$N=PNO$O(B X=(1,3) $B$G$NCM$,(B Y=(-8,2,-6) $B$G$"$k$3$H$r0UL#$9$k(B.
3538: @item $B;29M(B. taka_runge_kutta.rr, yang.rr
3539: @end itemize
3540:
3541: @example
3542: [1355] import("tk_pfn.rr");
3543: [1590] tk_pfn.test1();
3544: Value at (3,0.1)[8.99,6,-0.2]
3545: Value at (1,3)[-8,2,-6]
3546: [[[1,3],-8,2,-6],
3547: [[1,2.9],-7.41,2,-5.8],
3548: --- snip ---
3549: [[3,0.1],8.99,6,-0.2]]
3550: @end example
3551:
3552:
3553: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
3554: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3555: @noindent
3556: ChangeLog
3557: @itemize @bullet
3558: @item $B$3$N4X?t$O(B 2009-12 $B$+$i(B 2010-01 $B$K$+$1$F:G=i$NHG$,=q$+$l$?(B.
3559: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.1, 1.2
3560: @item $B$3$N%b%8%e!<%k$NA0?H$O(B @code{tk_pf2.rr} $B$G$"$k(B. $B$3$l$OFHN)JQ?t$,(B 2 $B8D$N>l9g$G$"$k(B.
3561: @end itemize
1.29 nakayama 3562:
1.40 takayama 3563:
3564: @node tk_pfn.graph,,, $B<B83E*;EMM$N4X?t(B
3565: @subsection @code{tk_pfn.graph}
3566: @findex tk_pfn.graph
3567:
3568: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3569: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3570: @table @t
3571: @item tk_pfn.graph(@var{Pf},@var{Dom},@var{Iv},@var{Step})
3572: :: 2$BJQ?t(B Pfaffian $BJ}Dx<0$r(B Runge-Kutta $BK!$G2r$$$F%0%i%UI=<($9$k(B.
3573: @end table
3574:
3575: @table @var
3576: @item return
1.41 takayama 3577: $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, ...].
3578: [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
3579: y $B$NCM$,30B&%k!<%W(B, x $B$NCM$,FbB&%k!<%W$N7A<0$GA}$($k(B.
1.40 takayama 3580: @item Pf, Dom, Iv, Step
3581: @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.
3582: @var{Dom} $B%j%9%H(B. $B2r$/$Y$-NN0h(B.
3583: @var{Iv} $B%j%9%H(B. $BNN0h$N:8C<$G$N=i4|CM(B.
3584: @var{Step} $B9o$_I}(B.
3585: @end table
3586:
3587: @itemize @bullet
3588: @item tk_pf2.rr, mt_graph.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3589: @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.
3590: @item @var{Dom} $B$O(B [[xmin,xmax],[ymin,ymax]] $B$N7A<0(B.
3591: @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.
3592: @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 3593: @item @var{Dom} $B$NC<$O%0%i%UI=<($N;~$K0lIt%+%C%H$5$l$k$N$GCm0U(B.
1.40 takayama 3594: @end itemize
3595:
3596: @example
3597: [1355] import("tk_pf2.rr"); import("mt_graph.rr"); import("tk_pfn.rr");
1.41 takayama 3598: [1590] tk_pfn.testgraph1();
1.40 takayama 3599:
3600: $B$3$3$G(B testgraph1() $B$O0J2<$N$H$*$j(B.
3601: def testgraph1() {
3602: /* tk_bess2.bess2pf(1/2); */
3603: Pf= [[[ 0, (1)/(x), 0 ],
3604: [ -x, (2*x^2+1)/(x), -2*x ],
3605: [ -y, 0, 0 ]],
3606: [[ 0, 0, (1)/(y) ],
3607: [ -x, 0, 0 ],
3608: [ -x, (1/2)/(x), (-1/2)/(y) ]]];
3609: /* tk_bess2.bess2Iv(1/2,[0.5,1.5]); */
3610: Iv = [0.105994,-0.651603,-0.760628];
3611: Dom=[[0.5,1.5],[1.5,9]];
3612: Step = 0.5;
1.41 takayama 3613: return tk_pfn.graph(Pf,Dom,Iv,Step | fit=1);
1.40 takayama 3614: }
3615:
3616:
3617: @end example
3618:
3619:
3620: @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
3621: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3622: @noindent
3623: ChangeLog
3624: @itemize @bullet
3625: @item $B$3$N4X?t$O(B 2010-08 $B$K:G=i$NHG$,=q$+$l$?(B.
3626: @item @code{OpenXM/src/asir-contrib/packages/src/tk_pfn.rr} 1.8
3627: @end itemize
3628:
1.41 takayama 3629: @node tk_rk.runge_kutta_4,,, $B<B83E*;EMM$N4X?t(B
3630: @subsection @code{tk_rk.runge_kutta_4}
3631: @findex tk_rk.runge_kutta_4
3632:
3633: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3634: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3635: @table @t
3636: @item tk_rk.runge_kutta_4(@var{Eq},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3637: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B
3638: @end table
3639:
3640: @table @var
3641: @item return
3642: $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, ...].
3643: @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.
3644: @item Eq, X, Y, Step
3645: @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.
3646: @var{X} $BFHN)JQ?tL>(B.
3647: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B.
3648: @var{Step} $B9o$_I}(B.
3649: @item X0, Y0, Terminal
3650: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3651: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3652: @var{Terminal} @var{X} $B$N=*CeE@(B.
3653: @end table
3654:
3655: @itemize @bullet
3656: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3657: @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.
3658: @item $BNc$O%=!<%9%3!<%I(B (@code{OpenXM/lib/asir-contrib/src/taka_runge_kutta.rr} )$B$N(B
3659: @code{tk_rk.test4()} $B$r;2>H(B.
3660: @end itemize
3661:
3662: @example
3663: [1355] import("taka_runge_kutta.rr");
3664: [1590] tk_rk.test4();
3665:
3666: $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)
3667: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3668:
3669: def test4() {
3670: A=runge_kutta_4([y1,-y0],x,[y0,y1],0,[1,0],3.14*2,0.1);
3671: taka_plot_auto(A);
3672: return(A);
3673: }
3674:
3675: @end example
3676:
3677:
3678: @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
3679: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3680: @noindent
3681: ChangeLog
3682: @itemize @bullet
3683: @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
3684: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3685: @end itemize
3686:
3687: @node tk_rk.runge_kutta_4_linear,,, $B<B83E*;EMM$N4X?t(B
3688: @subsection @code{tk_rk.runge_kutta_4_linear}
3689: @findex tk_rk.runge_kutta_4_linear
3690:
3691: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3692: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3693: @table @t
3694: @item tk_rk.runge_kutta_4_linear(@var{P},@var{X},@var{Y},@var{X0},@var{Y0},@var{Terminal},@var{Step})
3695: :: 4$B<!$N(B Runge-Kutta $BK!$K$h$kHyJ,J}Dx<0$N?tCM6a;w2r(B. $B@~7AJ}Dx<0@lMQ(B.
3696: @end table
3697:
3698: @table @var
3699: @item return
3700: $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, ...].
3701: @var{X} $B$NCM$O8:$C$F$$$/(B. $B$h$C$F%j%9%H$N@hF,$,(B @var{Terminal} $BIU6a$G$N(B @var{Y} $B$NCM(B.
3702: @item P, X, Y, Step
3703: @var{P} $B$O(B $BJ}Dx<0$N1&JU(B. $B%j%9%H(B. Y'=P Y $B$G$"$k(B. $B=>B0JQ?t(B @var{Y} $B$OITMW(B.
3704: @var{X} $BFHN)JQ?tL>(B.
3705: @var{Y} $B%j%9%H(B. $B=>B0JQ?t$N%j%9%H(B. $B=>B0JQ?t$O<+F0@8@.$5$l$k(B. $B;H$o$l$F$$$J$$$N$G6u%j%9%H$G$h$$(B.
3706: @var{Step} $B9o$_I}(B.
3707: @item X0, Y0, Terminal
3708: @var{X0} $B=PH/E@$N(B @var{X} $B$NCM(B.
3709: @var{Y0} $B=PH/E@$G$N(B @var{Y} $B$N=i4|CM(B.
3710: @var{Terminal} @var{X} $B$N=*CeE@(B.
3711: @end table
3712:
3713: @itemize @bullet
3714: @item taka_runge_kutta.rr $B$r(B import $B$7$F$*$/I,MW$,$"$k(B.
3715: @end itemize
3716:
3717: @example
3718: [1355] import("taka_runge_kutta.rr");
3719: [1590] A=tk_rk.runge_kutta_4_linear([[0,1],[-1,0]],x,[ ], 0, [1,0], 3.14*2, 0.1);
3720: [1591] taka_plot_auto(A);
3721:
3722: $B?6F0$NJ}Dx<0(B, y0'=y1, y1'=-y0 (y0''+y0=0). $BEz$O(B y0=cos(x) $B$r2r$$$F$$$k(B.
3723: taka_plot_auto $B$O2<J}8~$G(B y $B$,@5(B.
3724:
3725: @end example
3726:
3727:
3728: @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
3729: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
3730: @noindent
3731: ChangeLog
3732: @itemize @bullet
3733: @item 2010$BG/(B Pfaffian $B$N?tCM2r@O$N0Y$K:F@0Hw(B.
3734: @item @code{OpenXM/src/asir-contrib/packages/src/taka_runge_kutta.rr} 1.17
3735: @end itemize
3736:
1.40 takayama 3737:
3738:
1.38 takayama 3739: @node fj_simp.simplify,,, $B<B83E*;EMM$N4X?t(B
3740: @subsection @code{fj_simp.simplify}
3741: @findex fj_simp.simplify
3742:
3743: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3744: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3745: @table @t
3746: @item fj_simp.simplify(@var{arg1})
3747: :: arg1 $B$r4JC12=$9$k(B.
3748: @end table
3749:
3750: @table @var
3751: @item return
3752: $BB?9`<0(B, $BM-M}<0(B $B$^$?$O(B quote
3753: @item arg1
3754: $BB?9`<0(B $B$^$?$O(B $BM-M}<0(B
3755: @end table
3756:
3757: @itemize @bullet
3758: @item
3759: $B8=:_$N%P!<%8%g%s$G$O(B fj_simp.simplify $B$G$J$/(B, $BC1$K(B simplify $B$H$h$V(B.
3760: @item
3761: $B$3$N4X?t$O(B
3762: Joel S. Cohen, Computer Algebra and Symbolic Computation,
3763: http://web.cs.du.edu/~jscohen/MathematicalMethods/index.htm
3764: $B$K5-=R$5$l$F$$$k(B Automatic simplification algorithm $B$H(B
3765: B.F.Caviness, R.J.Fateman, Simplification of Radical Expressions (1976)
3766: $B$K5-=R$5$l$F$$$k(B radcan $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3767: @item
3768: $BJ#AGB?CM4X?t$H$7$F$O(B (x*y)^a = x^a*x^b $B$O0lHL$K$O@.N)$7$J$$$N$G(B, $B7k2L$rJ#AG4X?t$K;H$&$H$-$O(B
3769: $BCm0U$,I,MW$G$"$k(B. (x^a = exp(a*log(x)) $B$J$N$G(B)
3770: @end itemize
3771:
3772: @example
3773: load("fj_simplify.rr");
3774: [1434] simplify((x^(1/2))^3);
3775: ((x)^(3/2))
3776: [1435] simplify((2^(1/2))^2);
3777: 2
3778: [1436] simplify((2+2^(1/2))^3);
3779: 14*((2)^(1/2))+20
3780: [1437] simplify(exp(x)*exp(-x+y));
3781: ((@@e)^(y))
3782: @end example
3783:
3784: @table @t
3785: @item $B;2>H(B
3786: @ref{quote}
3787: @end table
3788:
3789: @noindent
3790: ChangeLog
3791: @itemize @bullet
3792: @item
3793: $B>-MhE*$K$O(B module $B2=$7$F(B fj_simp module $B$K4^$a$kM=Dj(B.
3794: poly_simplify $B$+$i(B fj_simp.simplify $B$r8F$V(B.
3795: @item
3796: Todo: exp $B0J30$NFC<l4X?t$K$D$$$F$N(Bsimplification $B$N5!G=(B.
3797: @item
3798: $B$3$N4X?t$O(B 2010.01 $B$K(B M.Fujimoto $B$K$h$j:G=i$NHG$,=q$+$l$?(B.
3799: OpenXM/src/asir-contrib/packages/src/fj_simplify.rr
3800: @end itemize
3801:
1.46 takayama 3802: @node tk_jack.zonal,,, $B<B83E*;EMM$N4X?t(B
3803: @subsection @code{tk_jack.zonal}
3804: @findex tk_jack.zonal
3805:
3806: @comment --- $B4X?t$N4JC1$J@bL@(B ---
3807: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
3808: @table @t
3809: @item tk_jack.zonel(@var{p},@var{n})
3810: :: $BJ,3d(B p $B$KBP$9$k(B n $BJQ?t$N(B zonal $BB?9`<0$r=PNO$9$k(B.
3811: @end table
3812:
3813: @table @var
3814: @item return
3815: $BB?9`<0(B. x_1, x_2, ... $B$,JQ?t(B.
3816: @item p
3817: $B?t$N%j%9%H(B. p=[p0,p1,...] $B$N;~(B p0>=p1>=...>0.
3818: @item n
3819: $B<+A3?t(B
3820: @end table
3821:
3822: @itemize @bullet
3823: @item
3824: $B$3$N4X?t$O(B
3825: Koev-Edelman $B$K$h$k(B Pieri $B7?8x<0$rMQ$$$?(B Jack symmetric function $B$N7W;;(B
3826: $B%"%k%4%j%:%`$N<BAu$G$"$k(B.
3827: $B>\$7$/$O(B Wikipedia $B1Q8lHG(B Jack symmetric function $B$N9`$r;2>H(B.
3828: @item zonal(P,N) = jack(P,N,2) $B$G$"$k(B.
3829: @end itemize
3830:
3831: @example
3832: load("tk_jack.rr");
3833: [1434] tk_jack.zonal([3,2,1],3);
3834: (112*x_3*x_2^2+112*x_3^2*x_2)*x_1^3+(112*x_3*x_2^3+168*x_3^2*x_2^2+112*x_3^3*x_2)*x_1^2+(112*x_3^2*x_2^3+112*x_3^3*x_2^2)*x_1
3835: [1435] tk_jack.zonal([1,1],3);
3836: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3837: [1436] tk_jack.jack([1,1],3,2);
3838: (2*x_2+2*x_3)*x_1+2*x_3*x_2
3839: @end example
3840:
3841: @table @t
3842: @item $B;2>H(B
3843: @end table
3844:
3845: @noindent
3846: ChangeLog
3847: @itemize @bullet
3848: @item
3849: $B$3$N4X?t$O(B wishart $BJ,I[$K=>$&BP>N9TNs$NBh0l8GM-CM$,(B x $B0J2<$G$"$k3NN($N7W;;$r(B
3850: holonomic gradient method $B$G$d$k$?$a$K$=$N=i4|CM$r7W;;$9$k(B C $B$N%W%m%0%i%`$,(B
3851: $BI,MW$G$"$C$?(B. $B$=$l$r(B debug $B$9$k$?$a$K$H$j$"$($:=q$$$?$b$N(B.
3852: @item $B:GE,2=$r$^$@$^$@$5$\$C$F$k(B.
3853: @end itemize
3854:
1.49 takayama 3855: @node ot_hgm_ahg.cbase,,, $B<B83E*;EMM$N4X?t(B
3856: @subsection @code{ot_hgm_ahg.cbase}
3857: @findex ot_hgm_ahg.cbase
3858:
3859: @table @t
3860: @item cbase(@var{A})
3861: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(B Pfaffian $B$N4pDl$r5a$a$k(B.
3862: @end table
3863:
3864: @table @var
3865: @item return
3866: Pfaffian$B$N4pDl(B($BHyJ,:nMQAG$N%b%N%_%"%k(B)$B$N%j%9%H(B
3867: @item A
3868: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
3869: @end table
3870:
3871: @itemize @bullet
3872: @item A-$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$$(B. $B8D?t$O$b$A$m$sF1$8$G$"$k(B.
3873: @item
3874: $B%"%k%4%j%:%`$O(B
3875: T.Hibi, K.Nishiyama, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations I, Bases of Twisted Cohomology Groups, arxiv:1212.6103
3876: $B$K$h$k(B.
3877: $B$5$i$K%Q%i%a!<%?(B b $B$r?t$KFC<l2=$9$k3NN(;;K!$rMQ$$$F$$$k(B.
3878: @end itemize
3879:
3880: @example
3881: [2190] import("ot_hgm_ahg.rr");
3882: 1
3883: [2191] ot_hgm_ahg.cbase([[1,1,1,1],[0,1,2,3]]);
3884: We use a probabilistic algorithm to determine the base.[dx2^2,dx3*dx2,dx3^2]
3885:
3886: [dx3,dx4,1]
3887: @end example
3888:
3889: @table @t
3890: @item $B;2>H(B
3891: @ref{get_mat2}
3892: @end table
3893:
3894: @noindent
3895: ChangeLog
3896: @itemize @bullet
3897: @item
3898: $B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
3899: @item version 1.1 $B0JA0$NHG$O(B h-mle/A-hg/Prog ($B8&5f%0%k!<%W$N6&M-%U%)%k%@(B) $B$K$"$j(B.
3900: @end itemize
3901:
3902: @node ot_hgm_ahg.get_mat2,,, $B<B83E*;EMM$N4X?t(B
3903: @subsection @code{ot_hgm_ahg.get_mat2}
3904: @findex ot_hgm_ahg.get_mat2
3905: @comment get_mat2
3906: @table @t
3907: @item get_mat2(@var{A},@var{W},@var{Std},@var{Mset})
3908: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O(B H_A $B$N(B Pfaffian $B$N4pDl$r5a$a$k$?$a$N(B Sylvester $BK!(B $B$rE,MQ$9$k$?$a$N9TNs$r@8@.$9$k(B.
3909: @end table
3910:
3911: @table @var
3912: @item return
3913: $B%j%9%H(B
3914: @item A
3915: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
3916: @item W
3917: $B%j%9%H(B. toric ideal $B$N%0%l%V%J!<4pDl$r7W;;$9$k$?$a$N(B weight vector.
3918: $BB?J,$J$s$G$b$$$$$O$:(B.
3919: @item Std
3920: $B%j%9%H(B. Pfaffian $B$N4pDl(B. cbase(A) $B$N=PNO$rMQ$$$k(B.
3921: @item Mset
3922: Sylvester $B7?9TNs$r:n$k$?$a$NHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
3923: @end table
3924:
3925: @itemize @bullet
3926: @item $B=PNO$r(B @var{P} $B$KBeF~$9$k$H(B,
3927: @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.
3928: @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').
3929: @var{P}[2], @var{Std} $B$,(B index $B%b%N%_%"%k$G$"$k(B.
3930: $BO@J8$G$N5-9f$G$O(B @var{P}[2] $B$O(B M_t, @var{Std} $B$O(B S.
3931: @item
3932: $B%"%k%4%j%:%`$O(B
3933: K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
3934: $B$K$h$k(B. $BO@J8$N9TNs(B F'.
3935: @end itemize
3936:
3937: @example
3938: [2190] import("ot_hgm_ahg.rr");
3939: 1
3940: [2191] A=[[1,1,1,1],[0,1,2,3]]$
3941: Std=ot_hgm_ahg.cbase(A)$
3942: W=[[dx1,1,dx2,1,dx3,1,dx4,1]]$
3943: Mset=[1,dx1,dx2,dx3,dx4]$
3944: [2192] ot_hgm_ahg.get_mat2(A,W,Std,Mset);
3945:
3946: $B>JN,(B
3947: @end example
3948:
3949: @table @t
3950: @item $B;2>H(B
3951: @ref{cbase}
3952: @end table
3953:
3954: @noindent
3955: ChangeLog
3956: @itemize @bullet
3957: @item
3958: $B$3$N4X?t$O(B 2012 $B$+$i(B 2014-$B=U5Y$_$K$+$1$F$+$+$l$?(B.
3959: @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.
3960: @item
3961: $B%=!<%9(B ot_hgm_ahg.rr $B$N(B test3(), test3b(), test4(), test5(), test6(), test6c() $BEy$KMxMQNc$,$"$k(B.
3962: @item
3963: test3b() $B$G(B @var{Mset} $B$r0l<!<0A4It$K$7$?$b$N$,(B, $BO@J8$NNc(B.
3964: @end itemize
3965:
3966: @comment -------------------
3967: @comment hgm_ahg_contiguity
3968: @comment -------------------
3969: @node ot_hgm_ahg.hgm_ahg_contiguity,,, $B<B83E*;EMM$N4X?t(B
3970: @subsection @code{ot_hgm_ahg.hgm_ahg_contiguity}
3971: @findex ot_hgm_ahg.hgm_ahg_contiguity
3972:
3973: @table @t
3974: @item hgm_ahg_contiguity(@var{A},@var{StdMon},@var{Line},@var{X0},@var{InitVal},@var{Start},@var{End})
3975: :: @var{A} $B$GDj5A$5$l$k(B A-$BD64v2?J}Dx<07O$N(Bcontiguity relation
3976: $B$r(B Sylvester matrix $B$rMQ$$$F7W;;$7(B, $B$=$l$rMQ$$$FD64v2?4X?t$NCM$r5a$a$k(B.
3977: @end table
3978:
3979: @table @var
3980: @item return
3981: $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$NCM(B F(End;X0) ??
3982: @item A
3983: $B@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B.
3984: @item StdMon
3985: $B%j%9%H(B. Pfaffian $B$N4pDl$rM?$($kHyJ,:nMQAG$N%b%N%_%"%k$N%j%9%H(B.
3986: @item Line
3987: $B%j%9%H(B [ContiDir,Beta,Z].
3988: @item X0
3989: $B%j%9%H(B. x $BJQ?t$NCM(B.
3990: @item InitVal
3991: $B%j%9%H(B. $B4pDl$rD64v2?4X?t$K:nMQ$5$;$?%Y%/%H%k$N=i4|CM(B F(Start;X0)
3992: @item Start
3993: $B%j%9%H(B. Z $B%Q%i%a!<%?$N=i4|CM(B??
3994: @item End
3995: $B%j%9%H(B. Z $B%Q%i%a!<%?$N=*C<CM(B??
3996: @end table
3997:
3998: @itemize @bullet
3999: @item Todo, $B$3$N4X?t$N%$%s%?%U%'!<%9$OJQ99$5$l$kM=Dj(B.
4000: @item X0 $B$OM-M}?t$N%j%9%H(B.
4001: @item ContiDir $B$O(B End-Start $B$HF1$8J}8~(B.
4002: @item Beta. A$BD64v2?4X?t$N(B B $B%Q%i%a!<%?$N=i4|CM(B ??
4003: @item Z. ContiDir $B$G$N0l<!85(B contiguity $B$rI=8=$9$k$?$a$NITDj85$NL>A0(B.
4004: @item $B%=!<%9Cf$NMxMQNc(B. test_fd_conti(), test_c111_conti()
4005: @item
4006: $B%"%k%4%j%:%`$*$h$SMxE@$O(B
4007: K.Ohara, N.Takayama, Pfaffian Systems of A-Hypergeometric Equations II, Holonomic Gradient Method
4008: $B;2>H(B.
4009: @end itemize
4010:
4011: @example
4012: [2190] import("ot_hgm_ahg.rr");
4013: 1
4014: [2191] ot_hgm_ahg.test_fd_conti();
4015: (Todo, $B0z?t$,$I$&$J$k$+$NNc$r2C$($k(B.)
4016: @end example
4017:
4018: @table @t
4019: @item $B;2>H(B
4020: @ref{get_mat2}
4021: @ref{hgm_ahg_expected_value_contiguity}
4022: @ref{hgm_ahg}
4023: @end table
4024:
4025: @noindent
4026: ChangeLog
4027: @itemize @bullet
4028: @item
4029: $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.
4030: @item $B%$%s%?%U%'!<%9$,99?7$5$l$?HG$O(B, 1.??$BHG(B.
4031: @end itemize
4032:
4033: @comment -------------------
4034: @comment tk_hgpoly.optip
4035: @comment -------------------
4036: @node tk_hgpoly.optip,,, $B<B83E*;EMM$N4X?t(B
4037: @subsection @code{tk_hgpoly.optip}
4038: @findex tk_hgpoly.optip
4039:
4040: @table @t
4041: @item hgpoly.optip(@var{A},@var{B},@var{W})
4042: :: $B@0?t7W2hLdBj$r%0%l%V%J!<4pDl$rMQ$$$F2r$/(B.
4043: @end table
4044:
4045: @table @var
4046: @item return
4047: $B%j%9%H(B.
4048: @item A
4049: $BHsIi@0?t$r@.J,$H$9$k9TNs(B (maximal rank $B$N$b$N(B)$B$rI=$9%j%9%H(B
4050: @item B
4051: $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
4052: @item W
4053: $BHsIi@0?t$r@.J,$H$9$k%Y%/%H%k$rI=$9%j%9%H(B
4054: @end table
4055:
4056: @itemize @bullet
4057: @item @var{A} U = @var{B} $B$rK~$?$9HsIi$N@0?t%Y%/%H%k(B U $B$NCf$G(B,
4058: $BFb@Q(B @var{W} U $B$r:G>.2=$9$k(B U $B$rLa$9(B.
4059: @end itemize
4060:
4061: @example
4062: [0] import("tk_hgpoly.rr");
4063: [2191] tk_hgpoly.optip([[1,1,1,1],[0,1,2,3]],[20,40],[1,1,1,0]);
4064: [6,1,0,13]
4065: @end example
4066:
4067: @table @t
4068: @item $B;2>H(B
4069: @ref{feasible}
4070: @end table
4071:
4072: @noindent
4073: ChangeLog
4074: @itemize @bullet
4075: @item
4076: $B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B.
4077: $B85HG$O(B h-mle/A-hg/Prog
4078: @end itemize
4079:
4080: @comment -------------------
4081: @comment tk_hgpoly.hgpoly
4082: @comment -------------------
4083: @node tk_hgpoly.hgpoly,,, $B<B83E*;EMM$N4X?t(B
4084: @subsection @code{tk_hgpoly.hgpoly}
4085: @findex tk_hgpoly.hgpoly
4086: @table @t
4087: @item hgpoly.hgpoly(@var{A},@var{B})
4088: :: @var{A}, @var{B} $B$GDj5A$5$l$kD64v2?B?9`<0$r7W;;$9$k(B.
4089: @end table
4090:
4091: @table @var
4092: @item return
4093: $B%j%9%H(B.
4094: @item A
4095: $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
4096: @item B
4097: $BHsIi@0?t$r@.J,$H$9$k%j%9%H(B.
4098: @end table
4099:
4100: @itemize @bullet
4101: @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, ...
4102: F[1] $B$O(B F[0] $B$NJ,;6I=8=B?9`<0(B.
4103: @end itemize
4104:
4105: @example
4106: [0] import("tk_hgpoly.rr");
4107: [2191] tk_hgpoly.hgpoly([[1,1,1,1],[0,1,2,3]],[2,2]);
4108: [x_3*x_1+1/2*x_2^2,(1/2)*<<0,2,0,0>>+(1)*<<1,0,1,0>>]
4109: @end example
4110:
4111:
4112: @noindent
4113: ChangeLog
4114: @itemize @bullet
4115: @item
4116: $B$3$N4X?t$O(B 2014-12-12 $B$K(B commit $B$5$l$?(B.
4117: @end itemize
4118:
4119: @comment -------------------
4120: @comment tk_fd.abc2ahg
4121: @comment -------------------
4122: @node tk_fd.abc2ahg,,, $B<B83E*;EMM$N4X?t(B
4123: @subsection @code{tk_fd.abc2ahg}
4124: @findex tk_fd.abc2ahg
4125: @table @t
4126: @item tk_fd.abc2ahg(@var{A},@var{B},@var{C})
4127: :: F_D(@var{A}, @var{B},@var{C}) $B$r2r$K$b$D(B A-$BD64v2?J}Dx<07O$r5a$a$k(B.
4128: @end table
4129:
4130: @table @var
4131: @item return
4132: $B%j%9%H(B.
4133: @item A
4134: $B?t(B
4135: @item B
4136: $B?t$N%j%9%H(B
4137: @item C
4138: $B?t(B
4139: @end table
4140:
4141: @itemize @bullet
4142: @item $BLa$jCM%j%9%H$NBh#0@.J,$O(B A-$BD64v2?J}Dx<07O$rDj5A$9$k9TNs(B.
4143: $BBh#1@.J,$O(BA-$BD64v2?J}Dx<07O$N%Q%i%a!<%?&B(B.
4144: @end itemize
4145:
4146: @example
4147: [2191] tk_fd.abc2ahg(-3,[-4,-5],3);
4148:
4149: [[[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]]
4150: @end example
4151:
4152: @table @t
4153: @item $B;2>H(B
4154: @ref{abc2marginal}
4155: @ref{marginal2abc}
4156: @end table
4157:
4158: @noindent
4159: ChangeLog
4160: @itemize @bullet
4161: @item
4162: $B$3$N4X?t$O(B 2014-12-13 $B$K(B tk_fd.rr $B$KDI2C$5$l$?(B.
4163: @end itemize
4164:
4165: @comment -------------------
4166: @comment tk_fd.ahvec_abc
4167: @comment -------------------
4168: @node tk_fd.ahvec_abc,,, $B<B83E*;EMM$N4X?t(B
4169: @subsection @code{tk_fd.ahvec_abc}
4170: @findex tk_fd.ahvec_abc
4171: @table @t
4172: @item tk_fd.ahvec_abc(@var{A},@var{B},@var{C},@var{Y} | all=1)
4173: :: 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]
4174: (2$BHVL\$N9T(B)$B$K$D$$$F$NJPHyJ,$r7W;;$9$k(B.
4175: @end table
4176:
4177: @table @var
4178: @item return
4179: $B%j%9%H(B @var{Ans}
4180: @item A
4181: $B?t(B
4182: @item B
4183: $B?t$N%j%9%H(B. $BD9$5$O(B m.
4184: @item C
4185: $B?t(B
4186: @item Y
4187: (2,m+1) $BJQ?tCM$r$"$i$o$9%j%9%H$N%j%9%H(B.
4188: @end table
4189:
4190: @itemize @bullet
4191: @item
4192: @var{A}, @var{B}, @var{C}, $B$K8=$l$k?t$O@0?t$rM?$($k(B.
4193: @var{Y} $B$N@.J,$OM-M}?t$rM?$($k(B.
4194: @item
4195: @var{Ans}[2]*@var{Ans}[1] $B$,(B Z.
4196: @var{Ans}[2]*@var{Ans}[0][I] $B$,(B Z $B$N(B Y[1][I] $B$K$D$$$F$NJPHyJ,(B.
4197: @item
4198: $BO@J8(B
4199: 1.Y.Goto, Contiguity relations of Lauricella's F_D revisited, arxiv:1412.3256
4200: $B$GF3=P$5$l$F$$$k(B
4201: contiguity relation $B$rMQ$$$F7W;;$9$k(B.
4202: @end itemize
4203:
4204: @example
4205: [2449] marginal2abc([3,12],[6,3,3,3]);
4206: [-3,[-3,-3,-3],4]
4207:
4208: [2450] tk_fd.ahvec_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
4209: [[ 24041/1152 143551/11520 16973/1280 78827/5760 ],1/7776]
4210:
4211: [2451] expectation_abc(-3,[-3,-3,-3],4,[[1,1/2,1/3,1/4],[1,1,1,1]]);
4212: [721230/173593,430653/173593,458271/173593,67566/24799]
4213: @end example
4214:
4215: @table @t
4216: @item $B;2>H(B
4217: @ref{expectation_abc}
4218: @end table
4219:
4220: @noindent
4221: ChangeLog
4222: @itemize @bullet
4223: @item
4224: $B$3$N4X?t$O(B 2014-$B2F$K3+H/$5$l$?(B.
4225: @end itemize
4226:
4227:
1.55 ! takayama 4228: @node pari setbprec setround todouble mpfr_gamma mpfr_floor mpfr_round,,, $B<B83E*;EMM$N4X?t(B
1.50 takayama 4229: @subsection @code{pari}, @code{setbprec},@code{setround},@code{todouble},@code{mpfr_gamma},@code{mpfr_floor},@code{mpfr_round},
4230: @findex pari
4231: @findex setbprec
4232: @findex setround
4233: @findex todouble
4234: @findex mpfr_gamma
4235: @findex mpfr_floor
4236: @findex mpfr_round
4237:
4238: @comment --- $B4X?t$N4JC1$J@bL@(B ---
4239: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
4240: @table @t
4241: @item pari(@var{arg1},@var{arg2},...)
4242: :: 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.
4243: @itemx setbprec(@var{arg1})
4244: @itemx setround(@var{arg1})
4245: $B4]$a$NJ}K!$N;XDj(B. mpfr $B=`5r(B.
4246: @itemx todouble(@var{arg1})
4247: :: bigfloat $B7?$r(B double $B$KJQ49$9$k(B.
4248: @itemx mpfr_gamma(@var{arg1})
4249: :: gamma $B4X?t$N7W;;(B.
4250: @itemx mpfr_floor(@var{arg1})
4251: :: floor $B$N7W;;(B.
4252: @itemx mpfr_round(@var{arg1})
4253: :: $B4]$a$N7W;;(B.
4254: @end table
4255:
4256: @table @var
4257: @item return
4258: $B8e=R(B.
4259: @item arg1, arg2
4260: $B8e=R(B.
4261: @end table
4262:
4263: @itemize @bullet
4264: @item 20150807 $B0J9_$N(B asir $B$G$O(B, bigfloat $B$,(B pari $B$G$O$J$/(B mpfr $B$rMQ$$$F7W;;$5$l$k(B.
4265: Todo, pari $B$O(B ox_pari $B$r8F$S=P$9$,(B, $B$^$@(B ox_pari $B$KL$<BAu$N5!G=$,B?$/$"$k(B.
4266: $B6h4V1i;;$X$NBP1~$O9T$C$F$$$J$$(B.
4267: @item
4268: pari(floor,@var{arg1}),
4269: pari(round,@var{arg1}),
4270: pari(gamma,@var{arg1})
4271: $B$O(B mpfr $B$G(B pari $B$r(B emulate $B$7$F$$$k$N$G(B, $BF0:n$,0[$J$k(B.
4272: $BFC$K(B gamma $B$OJ#AG?t$N0z?t$r<u$1<h$i$J$$(B.
4273: pari $B$N(B floor $B$O7e?t$,B-$j$J$/$J$k$H%(%i!<$G=*N;$7$?$,(B,
4274: $B$3$N(B floor $B$G$O(B setprec $B$G;XDj$7$?7e?t0JFb$J$i@5$7$/(B floor $B$rLa$9(B.
4275: Todo, ox_pari $B$r;XDj$7$F8F$S=P$9J}K!(B.
4276: @end itemize
4277:
4278: @example
4279: [219] ctrl("bigfloat",1)$
4280: [220] setprec(100)$
4281: [221] pari(floor,1111111111111.1+1/10);
4282: 1111111111111
4283: @end example
4284:
4285: @table @t
4286: @item $B;2>H(B
4287: @ref{pari}
4288: @end table
4289:
4290: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
4291: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
4292: @noindent
4293: ChangeLog
4294: @itemize @bullet
4295: @item $B$3$l$i$NBgJQ99$O(B 2015-08-03 $B$h$j(B 08-07 $B$N(B asir $B9g=I$G$*$3$J$o$l$?(B.
4296: $B$^$@:n6HCf(B. Todo, asirgui $B$X$NBP1~(B. debug, ...
4297: @item $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B asir2000/builtin/bfaux.c,
4298: asir2000/engine/bf.c, asir2000/builtin/parif.c $BEyB??t(B.
4299: @end itemize
4300:
1.19 takayama 4301: @comment ****************************************************************
1.34 ohara 4302: @comment --- $B"~"~"~"~(B $B0J2<B>$N4X?t$K$D$$$F??;w$7$F5-=R$9$k(B. $B"~"~"~"~(B
1.3 takayama 4303: @comment $B?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.34 ohara 4304: @comment --- $B"~"~"~"~(B $B4X?t(B syz_pqr, xyz_stu $B$N@bL@(B $B"~"~"~"~(B
1.4 takayama 4305: @comment --- $BJ#?t$N4X?t$r$^$H$a$F@bL@$9$kNc(B ---
1.55 ! takayama 4306: @node xyz_pqr syz_stu,,, $B<B83E*;EMM$N4X?t(B
! 4307: @comment @menu $B$K$b(B * syz_pqr syz_stu:: $B$HB3$1$F=q$/;v(B. $BJ,$1$F$O$$$1$J$$(B.
1.4 takayama 4308: @subsection @code{xyz_pqr}, @code{syz_stu}
4309: @findex xyz_pqr
4310: @findex xyz_stu
4311:
1.3 takayama 4312: @comment --- $B4X?t$N4JC1$J@bL@(B ---
4313: @comment --- @itemx $B$OJ#?t$KBP$7$F@bL@$r0l$D$D$1$k>l9g$K;H$&(B ---
4314: @table @t
1.1 takayama 4315: @item xyz_pqr(@var{arg1},@var{arg2}[,@var{flag}])
4316: @itemx xyz_stu(@var{arg1},@var{arg2})
4317: :: xyz $B$K4X$9$kA`:n(B.
4318: @end table
4319:
4320: @table @var
4321: @item return
4322: $B@0?t(B
4323: @item arg1, arg2
4324: $B@0?t(B
4325: @item flag
4326: 0 $B$^$?$O(B 1
4327: @end table
4328:
4329: @itemize @bullet
1.3 takayama 4330: @item $B$3$N9`L\$O?7$7$$4X?t$N@bL@$r=q$/$?$a$N%F%s%W%l!<%H$G$"$k(B. $B>C$9$J(B.
1.1 takayama 4331: @item
4332: @code{xyz_pqr()} $B$O(B, @var{arg1}, @var{arg2} $B$r(B pqr $B$9$k(B.
4333: @item
4334: @var{flag} $B$,(B 0 $B$G$J$$$H$-(B, $B%b%8%e%i7W;;$r9T$&(B.
4335: @item
4336: @code{xyz_stu()} $B$O(B stu $B%"%k%4%j%:%`$rMQ$$$k(B.
4337: @end itemize
4338:
4339: @example
4340: [219] xyz_pqr(1,2);
4341: 3
4342: [220] xyz_pqr(1,2,1);
4343: 3
4344: 0
4345: [221] xyz_stu(1,2);
4346: 3
4347: @end example
4348:
4349: @table @t
4350: @item $B;2>H(B
4351: @ref{xyz_abc}
4352: @end table
4353:
1.3 takayama 4354: @comment --- ChangeLog $B$r=q$/(B. $BF05!(B. $B%=!<%9%3!<%I$N0LCV(B. $BJQ99F|;~(B $B$J$I(B CVS$B%5!<%P$r8+$k$?$a(B
4355: @comment --- openxm $B$N30It$+$i$N4sM?$b=R$Y$k(B. Credit.
1.1 takayama 4356: @noindent
4357: ChangeLog
4358: @itemize @bullet
4359: @item $B$3$N4X?t$O(B 2004-3-1 $B$+$i(B 2004-3-14 $B$K$+$1$F(B $B%"%k%4%j%:%`(B xyz ($BO@J8(B
4360: http://www.afo.org/xyz.pdf ) $B$rMQ$$$F=q$-D>$5$l$?(B.
4361: $BJQ99$r$&$1$?%=!<%9%3!<%I$O(B xxxyy.rr, ppp.c $B$G$"$k(B.
4362: @item $B$3$N4X?t$O(B 2000 $B:"$K$O$8$a$F$N%P!<%8%g%s$,=q$+$l$?(B. $B%=!<%9$O(B ppp.c $B$G$"$k(B.
4363: @end itemize
4364:
4365: @comment --- $B$*$^$8$J$$(B ---
4366: @node Index,,, Top
4367: @unnumbered Index
4368: @printindex fn
4369: @printindex cp
4370: @iftex
4371: @vfill @eject
4372: @end iftex
4373: @summarycontents
4374: @contents
4375: @bye
4376: @comment --- $B$*$^$8$J$$=*$j(B ---
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