=================================================================== RCS file: /home/cvs/OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr,v retrieving revision 1.2 retrieving revision 1.3 diff -u -p -r1.2 -r1.3 --- OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr 2005/12/16 23:49:26 1.2 +++ OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr 2006/03/12 00:27:20 1.3 @@ -1,4 +1,4 @@ -/* $OpenXM: OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr,v 1.1 2005/12/11 07:24:30 noro Exp $ */ +/* $OpenXM: OpenXM/src/asir-contrib/testing/noro/new_rewrite.rr,v 1.2 2005/12/16 23:49:26 noro Exp $ */ /* * test functions for rewriting by rules @@ -9,9 +9,9 @@ /* commutativity */ #if 0 -Rc0=[`_X*_Y,`!qt_is_number(_X) && nqt_comp(_X,_Y)<0,`_Y*_X]$ +Rc0=[`X*Y,`!qt_is_number(X) && nqt_comp(X,Y)<0,`Y*X]$ #else -Rc0=[`_X*_Y,`nqt_comp(_Y*_X,_X*_Y)>0,`_Y*_X]$ +Rc0=[`X*Y,`nqt_comp(Y*X,X*Y)>0,`Y*X]$ #endif Rcomm = [Rc0]$ @@ -22,34 +22,34 @@ Ra2=[`X*X,`0]$ Ralt = [Ra0,Ra1,Ra2]$ /* simplifier of exp() */ -Re1=[`exp(_X)*exp(_Y),`exp(_X+_Y)]$ -Re2=[`exp(_X)^_K,`exp(_K*_X)]$ +Re1=[`exp(X)*exp(Y),`exp(X+Y)]$ +Re2=[`exp(X)^K,`exp(K*X)]$ Re3=[`exp(0),`1]$ -Re4=[`exp(_N*p*i),`qt_is_integer(_N) && eval_quote(_N)%2==0,`1]$ +Re4=[`exp(N*p*i),`qt_is_integer(N) && eval_quote(N)%2==0,`1]$ Rexp = [Re1,Re2,Re3,Re4]$ -R5=[`(_V^_N)^_M,`_V^(_N*_M)]$ +R5=[`(V^N)^M,`V^(N*M)]$ /* integration */ -Ri1=[`int(_F+_G,_X),`int(_F,_X)+int(_G,_X)]$ -Ri2=[`int(_N*_F,_X),`qt_is_number(_N),`_N*int(_F,_X)]$ -Ri3=[`int(_F,_X),`qt_is_number(_F), `_F*_X]$ -Ri4=[`int(_X^_N,_X),`qt_is_number(_N) && eval_quote(_N)!=-1,`_X^(_N+1)/(_N+1)]$ -Ri5=[`int(_X^(-1),_X),`log(_X)]$ -Ri6=[`int((_A*_X+_B)^(-1),_X),`1/_A*log(_A*_X+_B)]$ +Ri1=[`int(F+G,X),`int(F,X)+int(G,X)]$ +Ri2=[`int(N*F,X),`qt_is_number(N),`N*int(F,X)]$ +Ri3=[`int(F,X),`qt_is_number(F), `F*X]$ +Ri4=[`int(X^N,X),`qt_is_number(N) && eval_quote(N)!=-1,`X^(N+1)/(N+1)]$ +Ri5=[`int(X^(-1),X),`log(X)]$ +Ri6=[`int((A*X+B)^(-1),X),`1/A*log(A*X+B)]$ Rint = [Ri1,Ri2,Ri3,Ri4,Ri5,Ri6]$ /* derivation */ -Rd0=[`d(_N*_X),`qt_is_number(_N),`_N*d(_X)]$ +Rd0=[`d(N*X),`qt_is_number(N),`N*d(X)]$ Rd1=[`d(X+Y),`d(X)+d(Y)]$ Rd2=[`d(X*Y),`d(X)*Y+X*d(Y)]$ -Rd3=[`d(_N),`qt_is_number(_N),`0]$ -Rd=[Rd0,Rd1,Rd2,Rd3]$ +Rd3=[`d(N),`qt_is_number(N),`0]$ +Rd=[Rd1,Rd2,Rd3]$ /* representing an expression as a polynomial w.r.t. x */ /* T = qt_rewrite(qt_rewrite(Expr,[Ru0],1),[Ru1],0) */ -Ru0=[`x^_N*_X,`_X*x^_N]$ -Ru1=[`_F*x^_N+_G*x^_N,`(_F+_G)*x^_N]$ +Ru0=[`x^N*X,`X*x^N]$ +Ru1=[`F*x^N+G*x^N,`(F+G)*x^N]$ #define O_LIST 4 #define O_QUOTE 17