=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/testing/test1-tr.rr,v retrieving revision 1.6 retrieving revision 1.7 diff -u -p -r1.6 -r1.7 --- OpenXM/src/asir-contrib/testing/test1-tr.rr 2005/04/21 10:54:49 1.6 +++ OpenXM/src/asir-contrib/testing/test1-tr.rr 2005/05/04 05:47:03 1.7 @@ -1,27 +1,29 @@ -/* $Id: test1-tr.rr,v 1.6 2005/04/21 10:54:49 takayama Exp $ */ -/* $OpenXM: OpenXM/src/asir-contrib/testing/test1-tr.rr,v 1.5 2005/04/15 12:47:14 takayama Exp $ */ +/* $Id: test1-tr.rr,v 1.7 2005/05/04 05:47:03 takayama Exp $ */ +/* $OpenXM: OpenXM/src/asir-contrib/testing/test1-tr.rr,v 1.6 2005/04/21 10:54:49 takayama Exp $ */ load("tr.rr")$ +/* + qt_ ==> qt. + tr_ ==> tr. +*/ - - def test0() { A = quotetolist(quote(1+sin(x)+sin(3*@pi)*sin(0))); P = quotetolist(quote(sin(pn("x")*@pi))); - Q = ["qt_sin_int","x"]; + Q = ["qt.sin_int","x"]; print(A); print(P); print(Q); print("----------------"); - print(tr_match0(A,P)); + print(tr.match0(A,P)); A2 = quotetolist(quote(sin(2*@pi))); - print(tr_match0(A2,P)); + print(tr.match0(A2,P)); print("----------------"); - print("---- tr_make_binding --------"); - print(tr_make_binding(A2,P)); - print("-----tr_rp -------------"); - R=tr_rp(A,P,Q); + print("---- tr.make_binding --------"); + print(tr.make_binding(A2,P)); + print("-----tr.rp -------------"); + R=tr.rp(A,P,Q); print("--------------------"); print(R); print("--------------------"); @@ -29,23 +31,23 @@ def test0() { } def test1() { - Rule1=[quote(sin(pn("x")*@pi)),["qt_sin_int","x"]]; /* sin(整数*@pi) --> 0 */ - Rule2=[quote(0*pn("y")), ["qt_zero"]]; /* 0*any --> 0 */ - Rule3=[quote(pn("y")*0), ["qt_zero"]]; /* any*0 --> 0 */ - Rule4=[quote(pn("y")+0), ["qt_id","y"]]; /* any+0 --> any */ - Rule5=[quote(0+pn("y")), ["qt_id","y"]]; /* 0+any --> any */ - Rule6=[quote(sin(0)), ["qt_zero"]]; /* sin(0) --> 0 */ + Rule1=[quote(sin(pn("x")*@pi)),["qt.sin_int","x"]]; /* sin(整数*@pi) --> 0 */ + Rule2=[quote(0*pn("y")), ["qt.zero"]]; /* 0*any --> 0 */ + Rule3=[quote(pn("y")*0), ["qt.zero"]]; /* any*0 --> 0 */ + Rule4=[quote(pn("y")+0), ["qt.id","y"]]; /* any+0 --> any */ + Rule5=[quote(0+pn("y")), ["qt.id","y"]]; /* 0+any --> any */ + Rule6=[quote(sin(0)), ["qt.zero"]]; /* sin(0) --> 0 */ R0 = quote(1+sin(sin(2*@pi)*sin(@pi/2))+sin(5*@pi)); print(print_input_form(R0)); - R=tr_apply_rule1(R0,Rule1[0],Rule1[1]); + R=tr.apply_rule1(R0,Rule1[0],Rule1[1]); print(print_input_form(R)); - R=tr_apply_rule1(R,Rule2[0],Rule2[1]); + R=tr.apply_rule1(R,Rule2[0],Rule2[1]); print(print_input_form(R)); - R=tr_apply_rule1(R,Rule4[0],Rule4[1]); + R=tr.apply_rule1(R,Rule4[0],Rule4[1]); print(print_input_form(R)); - R=tr_apply_rule1(R,Rule6[0],Rule6[1]); + R=tr.apply_rule1(R,Rule6[0],Rule6[1]); print(print_input_form(R)); - R=tr_apply_rule1(R,Rule4[0],Rule4[1]); + R=tr.apply_rule1(R,Rule4[0],Rule4[1]); print(print_input_form(R)); return R; } @@ -96,7 +98,7 @@ def test3a(R0) { for (J=0; J<3; J++) { /* Todo: フラグがないので, とりあえず 3 回 */ for (I=0; I "+RR+" by "); print(listtoquote_str(L));} - if (Debug2) print("-------- end of tr_apply_rule1_flag ------------ "); - return [Flag,eval_str(RR)]; -} - -def tr_apply_or_rules(Q,R) { - Flag = 1; - N = length(R); - while (Flag) { - Flag = 0; - for (I=0; I 0 */ - Rule2=[quote(0*pn(y)), [qt_zero]]; /* 0*any --> 0 */ - Rule3=[quote(pn(y)*0), [qt_zero]]; /* any*0 --> 0 */ - Rule4=[quote(pn(y)+0), [qt_id,y]]; /* any+0 --> any */ - Rule5=[quote(0+pn(y)), [qt_id,y]]; /* 0+any --> any */ - Rule6=[quote(sin(0)), [qt_zero]]; /* sin(0) --> 0 */ + Rule1=[quote(sin(pn(x)*@pi)),["qt.sin_int",x]]; /* sin(整数*@pi) --> 0 */ + Rule2=[quote(0*pn(y)), ["qt.zero"]]; /* 0*any --> 0 */ + Rule3=[quote(pn(y)*0), ["qt.zero"]]; /* any*0 --> 0 */ + Rule4=[quote(pn(y)+0), ["qt.id",y]]; /* any+0 --> any */ + Rule5=[quote(0+pn(y)), ["qt.id",y]]; /* 0+any --> any */ + Rule6=[quote(sin(0)), ["qt.zero"]]; /* sin(0) --> 0 */ R0 = quote(1+sin(sin(2*@pi)*sin(@pi/2))+sin(5*@pi)); print(print_input_form(R0)); - R=tr_apply_rule1_flag(R0,Rule1[0],Rule1[1]); + R=tr.apply_rule1_flag(R0,Rule1[0],Rule1[1]); print([R[0],print_input_form(R[1])]); - R=tr_apply_or_rules(R0,[Rule1,Rule2,Rule3,Rule4,Rule5,Rule6]); + R=tr.apply_or_rules(R0,[Rule1,Rule2,Rule3,Rule4,Rule5,Rule6]); return R; } -def qt_one() { - return quote(1); -} -def tr_simp_sin(R0) { - Rule1=[quote(sin(pn(x)*@pi)),[qt_sin_int,x]]; /* sin(整数*@pi) --> 0 */ - Rule2=[quote(0*pn(y)), [qt_zero]]; /* 0*any --> 0 */ - Rule3=[quote(pn(y)*0), [qt_zero]]; /* any*0 --> 0 */ - Rule4=[quote(pn(y)+0), [qt_id,y]]; /* any+0 --> any */ - Rule5=[quote(0+pn(y)), [qt_id,y]]; /* 0+any --> any */ - Rule6=[quote(sin(0)), [qt_zero]]; /* sin(0) --> 0 */ - Rule7=[quote(cos(0)), [qt_one]]; /* cos(0) --> 1 */ - /* print(print_input_form(R0)); */ - R=tr_apply_rule1_flag(R0,Rule1[0],Rule1[1]); - /* print([R[0],print_input_form(R[1])]); */ - R=tr_apply_or_rules(R0,[Rule1,Rule2,Rule3,Rule4,Rule5,Rule6,Rule7]); - return R; -} -/* 0+any, 0*any になる quote を 0 にする. 必須. cf. taka_series.expand1 */ -def tr_simp_zero(R0) { - Rule1=[quote(0*pn(y)), [qt_zero]]; /* 0*any --> 0 */ - Rule2=[quote(pn(y)*0), [qt_zero]]; /* any*0 --> 0 */ - Rule3=[quote(0/pn(y)), [qt_zero]]; /* 0/any --> 0 */ - Rule4=[quote(pn(y)+0), [qt_id,y]]; /* any+0 --> any */ - Rule5=[quote(0+pn(y)), [qt_id,y]]; /* 0+any --> any */ - Rule6=[quote(-0), [qt_zero,y]]; /* -0 --> 0 */ - R=tr_apply_or_rules(R0,[Rule1,Rule2,Rule3,Rule4,Rule5, Rule6]); - return R; -} - /* 微分環の計算 */ /* x に依存してるか? u, u_0, u_1, u_2, ... は x に依存してる.*/ def to_quote(L) { @@ -227,45 +140,42 @@ def dep6(Q) { if (type(Q) == 4) { Q = to_quote(Q); } - if (qt_is_dependent(Q,x)) return 1; - if (qt_is_dependent(Q,u)) return 1; + if (qt.is_dependent(Q,x)) return 1; + if (qt.is_dependent(Q,u)) return 1; /* とりあえず 10 次までの f. --> なんとかせよ. */ for (I=0; I<10; I++) { - if (qt_is_dependent(Q,idxtov(u,I))) return 1; + if (qt.is_dependent(Q,idxtov(u,I))) return 1; } return 0; } def diff_lin(F,G) { if (type(F) == 4) F=to_quote(F); if (type(G) == 4) G=to_quote(G); - return qt_replace(quote(diff(f)+diff(g)),[[f,F],[g,G]]); + return qt.replace(quote(diff(f)+diff(g)),[[f,F],[g,G]]); } def diff_mul(F,G) { F1 = dep6(F); G1 = dep6(G); if (type(F) == 4) F=to_quote(F); if (type(G) == 4) G=to_quote(G); if (F1 && G1) - return qt_replace(quote(diff(f)*g+f*diff(g)),[[f,F],[g,G]]); + return qt.replace(quote(diff(f)*g+f*diff(g)),[[f,F],[g,G]]); if ((F1 == 1) && (G1 == 0)) - return qt_replace(quote(diff(f)*g),[[f,F],[g,G]]); + return qt.replace(quote(diff(f)*g),[[f,F],[g,G]]); if ((F1 == 0) && (G1 == 1)) - return qt_replace(quote(f*diff(g)),[[f,F],[g,G]]); + return qt.replace(quote(f*diff(g)),[[f,F],[g,G]]); if ((F1 == 0) && (G1 == 0)) - return qt_zero(); + return qt.zero(); } -def qt_one() { - return quote(1); -} def diff_x_n(N) { N = eval_quote(N); N1=N-1; - if (N1 == 0) return qt_one(); + if (N1 == 0) return qt.one(); if (N1 == 1) return quote(2*x); if (N1 > 1) return eval_str("quote("+rtostr(N)+"*x^"+rtostr(N1)+")"); } /* F が u とか u_0, u_1, ... なら 1 を戻す. */ /* debug 用の入力. - tr_check_pn(quote(u_1),quote(pn(x,is_u_variable(x)))); + tr.check_pn(quote(u_1),quote(pn(x,is_u_variable(x)))); */ def is_u_variable(F) { /* 述語の前の check point も debugger に欲しい. */ @@ -295,26 +205,26 @@ def diff_u_n(F,N) { U = objtoquote(eval_str(U)); if (N1 == 0) return NextU; - if (N1 == 1) return qt_replace(quote(2*up*uu),[[up,NextU],[uu,U]]); - if (N1 > 1) return qt_replace(quote(n*up*uu^m),[[up,NextU],[uu,U], + if (N1 == 1) return qt.replace(quote(2*up*uu),[[up,NextU],[uu,U]]); + if (N1 > 1) return qt.replace(quote(n*up*uu^m),[[up,NextU],[uu,U], [n,NN],[m,NN1]]); } def test6b() { - T1=[quote(diff(x)),[qt_one]]; + T1=[quote(diff(x)),["qt.one"]]; T2=[quote(diff(x^pn(n))),[diff_x_n,n]]; /* is_poly? が欲しい. */ R1=[quote(diff(pn(f)+pn(g))),[diff_lin,f,g]]; R2=[quote(diff(pn(f)*pn(g))),[diff_mul,f,g]]; A = quote(diff(2*4*x^3+x)); print(print_input_form(A)); - R=tr_apply_or_rules(A,[R1,R2,T1,T2]); + R=tr.apply_or_rules(A,[R1,R2,T1,T2]); return R; } /* Use Debug2=1; は debug にとても有益. */ def test6() { - T1=[quote(diff(x)),[qt_one]]; + T1=[quote(diff(x)),["qt.one"]]; T2=[quote(diff(x^pn(n))),[diff_x_n,n]]; /* is_poly? が欲しい. */ T3=[quote(diff(pn(f,is_u_variable(f))^pn(n))),[diff_u_n,f,n]]; R1=[quote(diff(pn(f)+pn(g))),[diff_lin,f,g]]; @@ -323,7 +233,7 @@ def test6() { /* A = quote(diff(2*x^3+x));*/ A = quote(diff(2*u^3+x)); print(print_input_form(A)); - R=tr_apply_or_rules(A,[R1,R2,T1,T2,T3]); + R=tr.apply_or_rules(A,[R1,R2,T1,T2,T3]); return R; } end$