* this code, it is a sanity check rather deeply rooted in GiNaC's classes. */
/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
symbol a("a");
symbol b("b");
- ex e1=power(power(x,a),b);
+ ex e1 = power(power(x,a), b);
if (!(is_ex_exactly_of_type(e1,power) &&
- is_ex_exactly_of_type(e1.op(0),power) &&
- is_ex_exactly_of_type(e1.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e1.op(0).op(1),symbol) &&
- is_ex_exactly_of_type(e1.op(1),symbol) &&
- e1.is_equal(power(power(x,a),b)) )) {
+ is_ex_exactly_of_type(e1.op(0),power) &&
+ is_ex_exactly_of_type(e1.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e1.op(0).op(1),symbol) &&
+ is_ex_exactly_of_type(e1.op(1),symbol) &&
+ e1.is_equal(power(power(x,a),b)) )) {
clog << "(x^a)^b, x,a,b symbolic wrong" << endl;
clog << "returned: " << e1 << endl;
return 1;
}
- ex e2=e1.subs(a==1);
+ ex e2 = e1.subs(a==1);
if (!(is_ex_exactly_of_type(e2,power) &&
- is_ex_exactly_of_type(e2.op(0),symbol) &&
- is_ex_exactly_of_type(e2.op(1),symbol) &&
- e2.is_equal(power(x,b)) )) {
+ is_ex_exactly_of_type(e2.op(0),symbol) &&
+ is_ex_exactly_of_type(e2.op(1),symbol) &&
+ e2.is_equal(power(x,b)) )) {
clog << "(x^a)^b, x,b symbolic, a==1 wrong" << endl;
clog << "returned: " << e2 << endl;
return 1;
}
- ex e3=e1.subs(a==-1);
+ ex e3 = e1.subs(a==-1);
if (!(is_ex_exactly_of_type(e3,power) &&
- is_ex_exactly_of_type(e3.op(0),power) &&
- is_ex_exactly_of_type(e3.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e3.op(0).op(1),numeric) &&
- is_ex_exactly_of_type(e3.op(1),symbol) &&
- e3.is_equal(power(power(x,-1),b)) )) {
+ is_ex_exactly_of_type(e3.op(0),power) &&
+ is_ex_exactly_of_type(e3.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e3.op(0).op(1),numeric) &&
+ is_ex_exactly_of_type(e3.op(1),symbol) &&
+ e3.is_equal(power(power(x,-1),b)) )) {
clog << "(x^a)^b, x,b symbolic, a==-1 wrong" << endl;
clog << "returned: " << e3 << endl;
return 1;
}
- ex e4=e1.subs(lst(a==-1,b==2.5));
+ ex e4 = e1.subs(lst(a==-1, b==2.5));
if (!(is_ex_exactly_of_type(e4,power) &&
- is_ex_exactly_of_type(e4.op(0),power) &&
- is_ex_exactly_of_type(e4.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e4.op(0).op(1),numeric) &&
- is_ex_exactly_of_type(e4.op(1),numeric) &&
- e4.is_equal(power(power(x,-1),2.5)) )) {
+ is_ex_exactly_of_type(e4.op(0),power) &&
+ is_ex_exactly_of_type(e4.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e4.op(0).op(1),numeric) &&
+ is_ex_exactly_of_type(e4.op(1),numeric) &&
+ e4.is_equal(power(power(x,-1),2.5)) )) {
clog << "(x^a)^b, x symbolic, a==-1, b==2.5 wrong" << endl;
clog << "returned: " << e4 << endl;
return 1;
}
- ex e5=e1.subs(lst(a==-0.9,b==2.5));
+ ex e5 = e1.subs(lst(a==-0.9, b==2.5));
if (!(is_ex_exactly_of_type(e5,power) &&
- is_ex_exactly_of_type(e5.op(0),symbol) &&
- is_ex_exactly_of_type(e5.op(1),numeric) &&
- e5.is_equal(power(x,numeric(-0.9)*numeric(2.5))) )) {
+ is_ex_exactly_of_type(e5.op(0),symbol) &&
+ is_ex_exactly_of_type(e5.op(1),numeric) &&
+ e5.is_equal(power(x,numeric(-0.9)*numeric(2.5))) )) {
clog << "(x^a)^b, x symbolic, a==-0.9, b==2.5 wrong" << endl;
clog << "returned: " << e5 << endl;
return 1;
}
- ex e6=e1.subs(lst(a==numeric(3)+numeric(5.3)*I,b==-5));
+ ex e6 = e1.subs(lst(a==numeric(3)+numeric(5.3)*I, b==-5));
if (!(is_ex_exactly_of_type(e6,power) &&
- is_ex_exactly_of_type(e6.op(0),symbol) &&
- is_ex_exactly_of_type(e6.op(1),numeric) &&
- e6.is_equal(power(x,numeric(-15)+numeric(5.3)*numeric(-5)*I)) )) {
+ is_ex_exactly_of_type(e6.op(0),symbol) &&
+ is_ex_exactly_of_type(e6.op(1),numeric) &&
+ e6.is_equal(power(x,numeric(-15)+numeric(5.3)*numeric(-5)*I)) )) {
clog << "(x^a)^b, x symbolic, a==3+5.3*I, b==-5 wrong" << endl;
clog << "returned: " << e6 << endl;
return 1;
symbol a("a");
symbol b("b");
- ex e1=power(a*x,b);
+ ex e1 = power(a*x,b);
if (!(is_ex_exactly_of_type(e1,power) &&
- is_ex_exactly_of_type(e1.op(0),mul) &&
- (e1.op(0).nops()==2) &&
- is_ex_exactly_of_type(e1.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e1.op(0).op(1),symbol) &&
- is_ex_exactly_of_type(e1.op(1),symbol) &&
- e1.is_equal(power(a*x,b)) )) {
+ is_ex_exactly_of_type(e1.op(0),mul) &&
+ (e1.op(0).nops()==2) &&
+ is_ex_exactly_of_type(e1.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e1.op(0).op(1),symbol) &&
+ is_ex_exactly_of_type(e1.op(1),symbol) &&
+ e1.is_equal(power(a*x,b)) )) {
clog << "(a*x)^b, x,a,b symbolic wrong" << endl;
clog << "returned: " << e1 << endl;
return 1;
}
- ex e2=e1.subs(a==3);
+ ex e2 = e1.subs(a==3);
if (!(is_ex_exactly_of_type(e2,power) &&
- is_ex_exactly_of_type(e2.op(0),mul) &&
- (e2.op(0).nops()==2) &&
- is_ex_exactly_of_type(e2.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e2.op(0).op(1),numeric) &&
- is_ex_exactly_of_type(e2.op(1),symbol) &&
- e2.is_equal(power(3*x,b)) )) {
+ is_ex_exactly_of_type(e2.op(0),mul) &&
+ (e2.op(0).nops()==2) &&
+ is_ex_exactly_of_type(e2.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e2.op(0).op(1),numeric) &&
+ is_ex_exactly_of_type(e2.op(1),symbol) &&
+ e2.is_equal(power(3*x,b)) )) {
clog << "(a*x)^b, x,b symbolic, a==3 wrong" << endl;
clog << "returned: " << e2 << endl;
return 1;
}
- ex e3=e1.subs(b==-3);
+ ex e3 = e1.subs(b==-3);
if (!(is_ex_exactly_of_type(e3,mul) &&
- (e3.nops()==2) &&
- is_ex_exactly_of_type(e3.op(0),power) &&
- is_ex_exactly_of_type(e3.op(1),power) &&
- e3.is_equal(power(a,-3)*power(x,-3)) )) {
+ (e3.nops()==2) &&
+ is_ex_exactly_of_type(e3.op(0),power) &&
+ is_ex_exactly_of_type(e3.op(1),power) &&
+ e3.is_equal(power(a,-3)*power(x,-3)) )) {
clog << "(a*x)^b, x,a symbolic, b==-3 wrong" << endl;
clog << "returned: " << e3 << endl;
return 1;
}
- ex e4=e1.subs(b==4.5);
+ ex e4 = e1.subs(b==4.5);
if (!(is_ex_exactly_of_type(e4,power) &&
- is_ex_exactly_of_type(e4.op(0),mul) &&
- (e4.op(0).nops()==2) &&
- is_ex_exactly_of_type(e4.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e4.op(0).op(1),symbol) &&
- is_ex_exactly_of_type(e4.op(1),numeric) &&
- e4.is_equal(power(a*x,4.5)) )) {
+ is_ex_exactly_of_type(e4.op(0),mul) &&
+ (e4.op(0).nops()==2) &&
+ is_ex_exactly_of_type(e4.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e4.op(0).op(1),symbol) &&
+ is_ex_exactly_of_type(e4.op(1),numeric) &&
+ e4.is_equal(power(a*x,4.5)) )) {
clog << "(a*x)^b, x,a symbolic, b==4.5 wrong" << endl;
clog << "returned: " << e4 << endl;
return 1;
}
- ex e5=e1.subs(lst(a==3.2,b==3+numeric(5)*I));
+ ex e5 = e1.subs(lst(a==3.2, b==3+numeric(5)*I));
if (!(is_ex_exactly_of_type(e5,mul) &&
- (e5.nops()==2) &&
- is_ex_exactly_of_type(e5.op(0),power) &&
- is_ex_exactly_of_type(e5.op(1),numeric) &&
- e5.is_equal(power(x,3+numeric(5)*I)*
+ (e5.nops()==2) &&
+ is_ex_exactly_of_type(e5.op(0),power) &&
+ is_ex_exactly_of_type(e5.op(1),numeric) &&
+ e5.is_equal(power(x,3+numeric(5)*I)*
power(numeric(3.2),3+numeric(5)*I)) )) {
clog << "(a*x)^b, x symbolic, a==3.2, b==3+5*I wrong" << endl;
clog << "returned: " << e5 << endl;
return 1;
}
- ex e6=e1.subs(lst(a==-3.2,b==3+numeric(5)*I));
+ ex e6 = e1.subs(lst(a==-3.2, b==3+numeric(5)*I));
if (!(is_ex_exactly_of_type(e6,mul) &&
- (e6.nops()==2) &&
- is_ex_exactly_of_type(e6.op(0),power) &&
- is_ex_exactly_of_type(e6.op(1),numeric) &&
- e6.is_equal(power(-x,3+numeric(5)*I)*
+ (e6.nops()==2) &&
+ is_ex_exactly_of_type(e6.op(0),power) &&
+ is_ex_exactly_of_type(e6.op(1),numeric) &&
+ e6.is_equal(power(-x,3+numeric(5)*I)*
power(numeric(3.2),3+numeric(5)*I)) )) {
clog << "(a*x)^b, x symbolic, a==-3.2, b==3+5*I wrong" << endl;
clog << "returned: " << e6 << endl;
return 1;
}
- ex e7=e1.subs(lst(a==3+numeric(5)*I,b==3.2));
+ ex e7 = e1.subs(lst(a==3+numeric(5)*I, b==3.2));
if (!(is_ex_exactly_of_type(e7,power) &&
- is_ex_exactly_of_type(e7.op(0),mul) &&
- (e7.op(0).nops()==2) &&
- is_ex_exactly_of_type(e7.op(0).op(0),symbol) &&
- is_ex_exactly_of_type(e7.op(0).op(1),numeric) &&
- is_ex_exactly_of_type(e7.op(1),numeric) &&
- e7.is_equal(power((3+numeric(5)*I)*x,3.2)) )) {
+ is_ex_exactly_of_type(e7.op(0),mul) &&
+ (e7.op(0).nops()==2) &&
+ is_ex_exactly_of_type(e7.op(0).op(0),symbol) &&
+ is_ex_exactly_of_type(e7.op(0).op(1),numeric) &&
+ is_ex_exactly_of_type(e7.op(1),numeric) &&
+ e7.is_equal(power((3+numeric(5)*I)*x,3.2)) )) {
clog << "(a*x)^b, x symbolic, a==3+5*I, b==3.2 wrong" << endl;
clog << "returned: " << e7 << endl;
return 1;
ex e3 = power(numeric(5),numeric(1,2));
if (!(is_ex_exactly_of_type(e3,power) &&
- e3.op(0).is_equal(numeric(5)) &&
- e3.op(1).is_equal(numeric(1,2)))) {
+ e3.op(0).is_equal(numeric(5)) &&
+ e3.op(1).is_equal(numeric(1,2)))) {
clog << "5^(1/2) wrongly returned " << e3 << endl;
return 1;
}
ex e2 = pow(0,a);
if (!(is_ex_exactly_of_type(e2,power))) {
clog << "0^a was evaluated to " << e2
- << " though nothing is known about a." << endl;
+ << " though nothing is known about a." << endl;
return 1;
}