OpenXM/src/asir-contrib/testing/tr-ja.oxt - diff

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Diff for /OpenXM/src/asir-contrib/testing/tr-ja.oxt between version 1.1 and 1.3

-version 1.1, 2005/04/01 08:08:36
+version 1.3, 2005/04/02 05:56:57
 Line 1
 Line 1
 Line 1
  /*&generate-prologue
  */
  $Id$
- $OpenXM$
+ $OpenXM: OpenXM/src/asir-contrib/testing/tr-ja.oxt,v 1.2 2005/04/01 11:34:21 takayama Exp $
  $BCm0U(B: testing/tr.rr $B$G$O(B quote $B$r(B quotetolist $B$G(B list $B$KJQ49$7$F07$&$?$a(B,
        $B2<$N;EMM$H$O$3$H$J$j(B, list $B7?$G%G!<%?$rLa$9>l9g$bB?$$(B.
 Line 26  end: */
 Line 26  end: */
 Line 26  end: */
  /*&usage begin: qt_child(Q,K)
   quote $B%G!<%?(B {Q} $B$N(B {K} $BHVL\$N;R6!$rLa$9(B.
   example: qt_child(quote(1+2*3),1)     quote(2*3) $B$rLa$9(B.
+  example: qt_child(quote(1+2*3),0)     quote(1) $B$rLa$9(B.
  end: */
  @c --------------------------------------------------------------------
-Line 55  end: */
+Line 56  end: */
 Line 55  end: */
 Line 56  end: */
  /*&usage begin: qt_replace(Qobj,[[x,Valuex],[y,Valuey],...])
     quote object {Qobj} $B$NCf$N(B x $B$r(B Valuex, y $B$r(B Valuey, ... $B$KCV$-49$($?(B
     quote object $B$rLa$9(B.
+    example: qt_replace(quote(sin(x*@pi)), [[x,quote( (2*t+3) )]])
  end: */
+    qt_replace $B$O(B asir-contrib $B$N(B base_replace $B$H;w$?5!G=(B.
+    quote $B$NFbIt$KBgJ8;z$G$O$8$^$kJQ?t(B($BI>2A$9$k(B)$B$,=q$1$J$$$?$a(B.
  /*&usage begin: qt_parenthesis(Qobj)
     quote object {Qobj} $B$NCf$N3g8L$,B-$j$J$$$H$-$K$OJd$$(B, $BB?$$$H$-$K$O<h$j5n$C$?(B
     quote object $B$r:n$k(B.
-    +, *, /, ^, - $BEy$K$D$$$F$N(B asir $B$NJ8K!$G$N1i;;;R$N6/$5$r2>Dj$9$k(B.
+    +, *, /, ^, - $BEy$K$D$$$F(B asir $B$NJ8K!$G$N1i;;;R$N6/$5$r2>Dj$9$k(B.
  end: */
+ /*&usage begin: qt_eval(Qobj,type)
+    Qobj $B$r(B asir $B$NB>$N(B object $B$KJQ49(B.
+ end: */
+ /*&usage begin: qt_(Obj)
+    asir $B$N(B Obj $B$r(B quote $B7?$KJQ49(B.
+ end: */
  @c --------------------------------------------------------------------
  @section tr (term rewriting) $B$N%H%C%W%l%Y%k$N4X?t(B
  /*&usage begin: tr_match0(Qobj,P)
   quote $B%G!<%?(B {Qobj} $B$,(B $B%Q%?!<%s(B {P} $B$KE,9g$9$l$P(B 1 $B$rLa$7(B, $B$=$&$G$J$1$l$P(B 0
   $B$rLa$9(B.
   example: tr_match0(quote(1+2*3),quote(pn(x)+pn(y)))
-           tr_match0(quote(1+2*3),quote(pn(x)+pn(y,qt_is_integer,x)))
+                  x $B$K(B quote(1), y $B$K(B quote(2*3)
+           tr_match0(quote(1+2*3),quote(pn(x)+pn(y,qt_is_integer,y)))
+                  qt_is_integer(2*3) $B$O(B 0 $B$J$N$G(B y $B$K$O%^%C%A$7$J$$(B.
  end: */
  pn(x) $B$OG$0U$N(B quote object $B$K%^%C%A$7(B, $BL>A0(B x $B$r$D$1$k(B.
-Line 80  tr_match0(quote(1+2*3),quote(pn(x)+pn(y,tr_is_integer,
+Line 95  tr_match0(quote(1+2*3),quote(pn(x)+pn(y,tr_is_integer,
 Line 80  tr_match0(quote(1+2*3),quote(pn(x)+pn(y,tr_is_integer,
 Line 95  tr_match0(quote(1+2*3),quote(pn(x)+pn(y,tr_is_integer,
 *3 $B$O(B integer $B$+$i:n$i$l$?(B fnode $B$G$O$"$k$,(B integer $B$G$O$J$$$N$G(B qt_is_integer
  $B$,(B 0 $B$rLa$9$?$a(B.
- /*&usage begin: tr_match1(Qobj,P,Act)
+ /*&usage begin: tr_match_act(Qobj,P,Act)
   quote $B%G!<%?(B {Qobj} $B$,(B $B%Q%?!<%s(B {P} $B$KE,9g$9$l$P(B {Act} $B$r8F$S=P$7$=$NCM$rLa$9(B.
   $B%Q%?!<%s(B {P} $B$K%^%C%A$7$J$$$H$-$O(B 0.
-  example: tr_match1(quote(1+2*3),quote(pn(x)+pn(y)),[myadd,x,y])
+  example: tr_match_act(quote(1+2*3),quote(pn(x)+pn(y)),[myadd,x,y])
  end: */
  /*&usage begin: tr_or_match1(Qobj,Rules)
-Line 94  end: */
+Line 109  end: */
 Line 94  end: */
 Line 109  end: */
   quote $B%G!<%?(B {Qobj} $B$NLZ$rI}M%@hC5:w$7(B,
   $B%Q%?!<%s(B {P} $B$KE,9g$9$k$b$N$,$"$k$H$-$O(B {Act} $B$r8F$S=P$7$=$NCM$rLa$9(B.
   $B$D$^$j(B top node $B$,(B {P} $B$KE,9g$9$k$+D4$Y(B, $BE,9g$7$J$$>l9g$O$=$N;R6!$K(B
-   tr_apply_rule1 $B$rE,MQ$9$k(B ($B$3$3$,(B tr_match1 $B$H$O0[$J$k(B).
+   tr_apply_rule1 $B$rE,MQ$9$k(B ($B$3$3$,(B tr_match_act $B$H$O0[$J$k(B).
   $B%^%C%A$7$J$$>l9g$O(B Qobj $B$r$=$N$^$^La$9(B ($B$3$l$,:F5"E*$KE,MQ$5$l$k(B).
   example: tr_apply_rule1(quote(1+sin(2*@pi)),quote(sin(pn(x)*@pi)),[sin_int,x])
  end: */
+  $B$3$3$G(B sin_int(X) $B$O(B X $B$,(B integer $B$N;~$O(B quote(0) $B$rLa$7(B,
+  $B$=$&$G$J$$$H$-$O(B quote(sin(X*@pi)) $B$rLa$9(B.
   $B?<$5M%@h$G=q$-49$($r$9$k$K$O(B $B4X?t(B sin_int $B$NCf$G$^$?(B tr_apply_rule1 $B$r8F$S=P$;$P(B
   $B$h$$(B.
  /*&usage begin: tr_apply_or_rules(Qobj,Rules)
  end: */
+ @subsection $BFbIt4X?t(B
+ /*&usage begin: tr_apply_function0(Qobj,BindingTable)
+ end: */
+ /*&usage begin: tr_rp(Qobj,P,A)
+ end: */
+ /*&usage begin: tr_make_binding(Qobj,P)
+ end: */
  @c ---------------------------------------------------------
  @section $BJQ?t%Q%?!<%s$H4X?t%Q%?!<%s(B
  $BNc(B:
- pn(x)
+ pn(x)                    $BG$0U$N$b$N$K%^%C%A(B. $B%^%C%A$7$?$b$N$r(B x $B$K(B bind.
  pn(x,qt_is_integer(x))
- fn(f)
+ fn(f)                    $BG$0U$N4X?t$K%^%C%A(B. $B%^%C%A$7$?4X?tL>$r(B f $B$K(B bind.
- fn(f,x,y)
+ fn(f,pn(x),pn(y))        $BG$0U$N4X?t$K%^%C%A(B. $B%^%C%A$7$?4X?tL>$r(B f $B$K(B bind.
+                          f $B$N0z?t$r(B x, y $B$K(B bind
  @c ---------------------------------------------------------
  @section $B%Q%?!<%s(B
-Line 121  fn(f,x,y)
+Line 150  fn(f,x,y)
 Line 121  fn(f,x,y)
 Line 150  fn(f,x,y)
  $B%Q%?!<%s$O(B quote $B$GM?$($k(B.
  $BM=Ls8l(B  tr_and, tr_or, tr_not  $B$O%Q%?!<%s$N%^%C%A$K4X$7$FO@M}1i;;$r$*$3$J$&(B.
  $B$?$H$($P(B
- quote(tr_and(pn(x,qt_is_integer),pn(x,qt_is_non_negative)))
+ quote(tr_and(pn(x,qt_is_integer),pn(x,qt_is_non_negative(x))))
  $B$O(B x $B$,(B $B@0?t$G(B - $B$,@hF,$K$D$$$F$$$J$$>l9g%^%C%A$9$k(B.
  @c ---------------------------------------------------------
  @section $BNcBj(B  sin($B@0?t(B*@pi) $B$r(B 0 $B$K(B.
+    /* $B=`Hw(B */
+    extern P,A;
+    P=quote(sin(pn(x)*@pi));  /* $B%Q%?!<%s(B */
+    A=[sin_int,x]             /* action, action $B4X?t(B */
+    def sin_int(X) {
+      X = tr_apply_rule1(X,P,A); /* $B;R6!$K(B [P,A] $B$r:F5"E*$KE,MQ(B */
+      if (qt_is_integer(X)) return qt_zero();
+      else qt_replace(sin(y*@pi),[[y,X]]);  /* sin(x*@pi) $B$r$=$N$^$^La$9(B.*/
+    }
+    /* $B7W;;(B */
+    Qobj=quote(1+sin(sin(2*@pi)*@pi)*sin((1/2)*@pi));
+    tr_apply_rule1(Qobj,P,A);
  @c ---------------------------------------------------------
  @section $BNcBj(B  $BITDj@QJ,(B
+    /* integral(f+g) => integral(f)+integral(g) */
+    S1=[quote(integral(pn(f)+pn(g))),
+        [int_linear1,f,g]];
+    def int_linear1(X,Y) {
+       return qt_replace(quote(integral(f)+integral(g)),[[f,X],[g,Y]]);
+    }
+    /* integral(c*f) => c*integral(f) */
+    def qt_independent(F,X) { return !qt_dependent(F,X); }
+    S2=[quote(integral(pn(c,qt_independent(c,x))*f)),
+        [int_linear2,c,f]];
+    def int_linear2(X,Y) {
+       return qt_replace(quote(c*integral(f)),[[c,X],[f,Y]]);
+    }
+    apply_or_rules(quote(integral(a*x^2+x+2/x)),[S1,S2]);
+    $B$3$l$r$3$l0J>e=q$-49$($,5/$-$J$$$^$G7+$jJV$9(B.
+    $B$3$N%k!<%k$N>l9gEz$($O(B
+    a*integral(x^2)+integral(x)+integral(2/x);
+    quote(integral(x^pn(n))) --> x^(n+1)/(n+1) or log(x) $B$r=q$/(B.
  @c ---------------------------------------------------------
  @section $BNcBj(B  $B4JC1$J9=J82r@O(B
+    $B<0(B(expression) $B$O(B $B<0(B+$B<0(B | $B<0(B*$B<0(B | ($B<0(B) | $B@0?t(B
+    extern R1,R2,R3,R4,S1,S2,S3,S4;
+    /* $BJ8K!$rK~$?$9$+$I$&$+$N(B check $BMQ(B. Action $BIt$O(B 1 $B$+(B 0 */
+    R1=[quote(pn(x,is_expression(x))+pn(y,is_expression(y))), 1];
+    R2=[quote(pn(x,is_expression(x))*pn(y,is_expression(y))), 1];
+    R3=[quote((pn(x,is_expression(x)))), 1];
+    R4=[quote(pn(x,qt_is_integer(x))), 1];
+    def is_expression(Qobj) {
+      R = [R1,R2,R3,R4];
+      A = apply_or_match0(Qobj,R);
+      if (A == 0) return 0; else return 1;
+    }
+    /* $B7W;;MQ(B. R1,R2,R3,R4 $B$H:8$O6&DL(B. */
+    S1=[quote(pn(x,is_expression(x))+pn(y,is_expression(y))), [myadd,x,y]];
+    S2=[quote(pn(x,is_expression(x))*pn(y,is_expression(y))), [mymul,x,y]];
+    S3=[quote((pn(x,is_expression(x)))), [qt_id,x]];
+    S4=[quote(pn(x,qt_is_integer(x))), [qt_id,x]];
+    def eval_expression(Qobj) {
+      S = [S1,S2,S3,S4];
+      return apply_or_rules(Qobj,S);
+    }
+    def myadd(X,Y) {
+      return qt_(qt_eval(X,1)+qt_eval(Y,1));
+    }
+    def mymul(X,Y) {
+      return qt_(qt_eval(X,1)*qt_eval(Y,1));
+    }
+    /* $B7W;;(B */
+    tr_eval_expression(quote(1+2*(3+15)));
  @c ---------------------------------------------------------
  @section $BNcBj(B  $BHs2D494D$N4JC1$J9=J82r@O(B
+ @section  Todo:
+  $BNc(B. Mathematica $B$N(B N[ ] $BAjEv$N4X?t$r%f!<%6$,=q$1$k$h$&$K(B.
+     nn(sin(cos(@pi)+sqrt(2)))
+     --> nn(sin(nn(cos(nn(@pi)))+nn(sqrt(nn(2)))))
+     $BG$0U4X?t$H$N(B match.
+  $BNc(B: $BQQ5i?t$N7W;;$r(B quote $B$G<B8=(B.
+         sort $B$d(B expand $B$OAH$_9~$_$G(B.
+  $BNc(B: Mathematica $B$N(B Expand[], Toghether[] $BAjEv$N$b$N(B.
+  $BNc(B: D $B$N3]$1;;$r(B $B%Q%?!<%s%^%C%A$G<B8=(B.
+  $BNc(B: (x^(1/n))^n --> x $BEy(B.
+  $BNc(B: $B5-9fHyJ,$HHyJ,4D$G$N7W;;(B.
+        y''+xy=0,  y''=y^2+x $BEy(B.
+  $BNc(B: QE, $BO@M}<0(B.
+ @section $B9M$(J}$K$D$$$F$N35@b(B
+  $B%H%C%W%l%Y%k$N4X?tC#(B.  (stylesheet $B$N9M$($K;w$F$k(B.)
+   iterator $B$N0l<o(B.
+ @c ------------------------------------------------
+ @section   $B$^$@%9%1%C%A$N$_$N4X?t;EMM(B
+   qt_ltor, qt_rtol : $BLZ$N9=B$$NJQ49(B; $BNc(B (x*y)*z --> x*(y*z)
+   idxtov(x,i)  x_i $B$r@8@.(B.  x_i $B$N(B index (idx) $BB0@-(B $B$r(B i $B$K(B.
+                                     base_name $BB0@-$r(B  x $B$K(B.
+   idxtov(x,[i,j])  x_i_j $B$r@8@.(B.  x_i_i $B$N(B index (idx) $BB0@-(B $B$r(B [i,j] $B$K(B.
+   vtoidx(x_i) $B$O(B i $B$rLa$9(B. $BB0@-$N8!:w$J$N$G9bB.(B. idx $BB0@-$,L5$$>l9g$O(B i $B$r@_Dj(B.
+   idxtov $B4X?t$O(B $B4X?tL>$K$b;H$($k$h$&$K$9$k(B --> $BHyJ,4DBP1~(B.
+   qt_function($BL>A0(B, $B0z?t(B) --> quote($BL>A0(B($B0z?t(B)) $B$r@8@.(B.
+    index $BIU$-4X?t$OHyJ,4D$N<h07$KI,MW(B.
+   $B6R5i?t$N<h07(B, dp $B$N(B pretty print $B$N$?$a(B.
+   qt_qttodp(Qobj | vlist,  order?)  quote $B$+$i(B dp $B$r:n$k(B.
+        exponent $B$,?t$G$J$$$H:n$l$:(B.
+   qt_dptoqt(Qobj | vlist)  dp $B$+$i(B quote $B$r:n$k(B.  vlist $B$OB0@-$GBP1~(B?
+   qt_expand, qt_sort, qt_ht, qt_rest, qt_mtov $B$b4pAC4X?t$H$7$FM_$7$$(B.
  /*&generate-epilogue
  */

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