Annotation of OpenXM/src/asir-contrib/testing/test1-tr.rr, Revision 1.4
1.4 ! takayama 1: /* $OpenXM: OpenXM/src/asir-contrib/testing/test1-tr.rr,v 1.3 2005/04/03 11:05:21 takayama Exp $ */
! 2: /* $Id: test1-tr.rr,v 1.7 2005/04/03 11:05:46 taka Exp $ */
1.2 takayama 3:
4: load("tr.rr")$
5:
6:
7:
8:
9: def test0() {
10: A = quotetolist(quote(1+sin(x)+sin(3*@pi)*sin(0)));
11: P = quotetolist(quote(sin(pn("x")*@pi)));
12: Q = ["qt_sin_int","x"];
13: print(A);
14: print(P);
15: print(Q);
16: print("----------------");
17: print(tr_match0(A,P));
18: A2 = quotetolist(quote(sin(2*@pi)));
19: print(tr_match0(A2,P));
20: print("----------------");
21: print("---- tr_make_binding --------");
22: print(tr_make_binding(A2,P));
23: print("-----tr_rp -------------");
24: R=tr_rp(A,P,Q);
25: print("--------------------");
26: print(R);
27: print("--------------------");
28: return quote_input_form_quote_list(R);
29: }
30:
31: def test1() {
32: Rule1=[quote(sin(pn("x")*@pi)),["qt_sin_int","x"]]; /* sin($B@0?t(B*@pi) --> 0 */
33: Rule2=[quote(0*pn("y")), ["qt_zero"]]; /* 0*any --> 0 */
34: Rule3=[quote(pn("y")*0), ["qt_zero"]]; /* any*0 --> 0 */
35: Rule4=[quote(pn("y")+0), ["qt_id","y"]]; /* any+0 --> any */
36: Rule5=[quote(0+pn("y")), ["qt_id","y"]]; /* 0+any --> any */
37: Rule6=[quote(sin(0)), ["qt_zero"]]; /* sin(0) --> 0 */
38: R0 = quote(1+sin(sin(2*@pi)*sin(@pi/2))+sin(5*@pi));
39: print(print_input_form(R0));
40: R=tr_apply_rule1(R0,Rule1[0],Rule1[1]);
41: print(print_input_form(R));
42: R=tr_apply_rule1(R,Rule2[0],Rule2[1]);
43: print(print_input_form(R));
44: R=tr_apply_rule1(R,Rule4[0],Rule4[1]);
45: print(print_input_form(R));
46: R=tr_apply_rule1(R,Rule6[0],Rule6[1]);
47: print(print_input_form(R));
48: R=tr_apply_rule1(R,Rule4[0],Rule4[1]);
49: print(print_input_form(R));
50: return R;
51: }
52:
53:
54: /* $BITDj@QJ,7W;;$NNc(B
55: c x^n $B$NOB$NITDj@QJ,(B (c $B$O(B x $B$K0MB8$;$:(B)
56: $B$$$m$$$m(B $BLdBjE@$"$j(B: $B$?$H$($P(B c $B$,(B $BL5$$$H$-$N=hM}$G$-$:(B.
57: */
58:
59: /* $B1&JU4X?t(B. c x^n $B$NITDj@QJ,(B (c $B$O(B x $B$K0MB8$;$:(B)
60: Todo: $B1&JU4X?t$rMF0W$K=q$/J}K!(B.
61: */
62: def r_integral0(C,N) {
63: NN = eval_str(quote_input_form_quote_list(quotetolist(N)));
64: CC = quote_input_form_quote_list(quotetolist(C));
65: if (NN == -1) {
66: R = "quote("+CC+"*log(x))";
67: }else{
68: R = "quote("+CC+"/"+rtostr(NN+1)+"*x^"+rtostr(NN+1)+")";
69: }
70: print("r_integral0:",0);print(R);
71: R = eval_str(R);
72: return quotetolist(R);
73: }
74: /* $B1&JU4X?t(B $B@QJ,$N@~7?@-(B */
75: def r_int_linear(F,G) {
76: FF = quote_input_form_quote_list(quotetolist(F));
77: GG = quote_input_form_quote_list(quotetolist(G));
78: R = "quote(integral("+FF+")+integral("+GG+"))";
79: print("r_int_linear:",0);print(R);
80: R = eval_str(R);
81: return quotetolist(R);
82: }
83: def test3() {
84: R0 = quote(1+integral(2*x^(-1)+2*x^2));
85: return test3a(R0);
86: }
87: def test3a(R0) {
88: Rules=[
89: /* c*x^n --> (c/(n+1))*x^(n+1) or c*log(x) */
90: [quote(integral(pn("c")*x^pn("n"))),["r_integral0","c","n"]],
91: [quote(integral(pn("f")+pn("g"))), ["r_int_linear","f","g"]]
92: ];
93: print("Input=",0); print(print_input_form(R0));
94: N = length(Rules);
95: R = R0;
96: for (J=0; J<3; J++) { /* Todo: $B%U%i%0$,$J$$$N$G(B, $B$H$j$"$($:(B 3 $B2s(B */
97: for (I=0; I<N; I++) {
98: print(print_input_form(R));
99: R=tr_apply_rule1(R,Rules[I][0],Rules[I][1]);
100: }
101: }
1.3 takayama 102: return R;
103: }
104:
105:
106: /* $B4X?t$N%^%C%A(B. N[] $BAjEv(B. test4(). */
107: /* quote(nn(pn(f),qt_is_function(f))); $B$OITMW(B. qt_map_arg $B$,=hM}(B */
108: def test4() {
109: Rule=[quote(nn(pn(f))),[qt_map_arg,nn,f]];
110: R0 = quote(nn(sin(1/2)*cos(1/3)));
111: print(print_input_form(R0));
112: R=tr_apply_rule1(R0,Rule[0],Rule[1]);
113: return R;
114: }
115:
116: /* tr_apply_or_rule $B$N;n:n(B */
117:
118: /* Flag $BIU$-(B $B$N(B tr_rp. $BB0@-$,$J$$$N$G$3$l$G$d$k(B. */
119: def tr_rp_flag(F,P,Q) {
120: Flag = 0;
121: dprint0("tr_rp, F="); dprint(F);
122: dprint0("tr_rp, P="); dprint(P);
123: dprint0("tr_rp, Q="); dprint(Q);
124: if (tr_match0(F,P)) {
125: BindTable = tr_make_binding(F,P);
126: dprint0("BindTable="); dprint(BindTable);
127: return [1,tr_apply_function0(Q,BindTable)];
128: }
129: if (type(F) != 4) return F;
130: Node = qt_node(F);
131: N = qt_nchild(F);
132: Ans = Node;
133: for (I=0; I<N; I++) {
134: T = tr_rp_flag(qt_child(F,I),P,Q);
135: if (T[0] == 1) Flag = 1;
136: Ans = append(Ans,[T[1]]);
137: }
138: return [Flag,Ans];
139: }
140:
141: /* $B=q$-49$((B flag $BIU$-$N(B tr_apply_rule_flag */
142: def tr_apply_rule1_flag(Obj,L,R) {
143: Flag = 0;
144: dprint("-------- start of tr_apply_rule1_flag ------------ ");
145: Obj = quotetolist(Obj);
146: L = quotetolist(L);
147: R = tr_rp_flag(Obj,L,R);
148: Flag=R[0]; R=R[1];
149: if (type(R) == 17) R=quotetolist(R);
150: RR = "quote("+listtoquote_str(R)+")";
151: dprint("-------- end of tr_apply_rule1_flag ------------ ");
152: return [Flag,eval_str(RR)];
153: }
154:
155: def tr_apply_or_rules(Q,R) {
156: Flag = 1;
157: N = length(R);
158: while (Flag) {
159: Flag = 0;
160: for (I=0; I<N; I++) {
161: Q = tr_apply_rule1_flag(Q,R[I][0],R[I][1]);
162: if (Q[0]) {
163: Flag = 1;
164: dprint("Applied the rule "+rtostr(I));
165: }
166: Q = Q[1];
167: }
168: }
169: return Q;
170: }
171: def test5() {
172: Rule1=[quote(sin(pn(x)*@pi)),[qt_sin_int,x]]; /* sin($B@0?t(B*@pi) --> 0 */
173: Rule2=[quote(0*pn(y)), [qt_zero]]; /* 0*any --> 0 */
174: Rule3=[quote(pn(y)*0), [qt_zero]]; /* any*0 --> 0 */
175: Rule4=[quote(pn(y)+0), [qt_id,y]]; /* any+0 --> any */
176: Rule5=[quote(0+pn(y)), [qt_id,y]]; /* 0+any --> any */
177: Rule6=[quote(sin(0)), [qt_zero]]; /* sin(0) --> 0 */
178: R0 = quote(1+sin(sin(2*@pi)*sin(@pi/2))+sin(5*@pi));
179: print(print_input_form(R0));
180: R=tr_apply_rule1_flag(R0,Rule1[0],Rule1[1]);
181: print([R[0],print_input_form(R[1])]);
182: R=tr_apply_or_rules(R0,[Rule1,Rule2,Rule3,Rule4,Rule5,Rule6]);
1.2 takayama 183: return R;
184: }
185:
186: end$
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