X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_powerlaws.cpp;h=be62bfcf511df6cf58e06acd948388b8eb920e35;hp=f685ffb12e26f1782999322eb9073fa2e5ed8048;hb=a775c17c710b9fbca130b2f638a0f463b8b56585;hpb=af922d5eb36ed70e4a9e3ffaf4c24492cf89a1a6 diff --git a/check/exam_powerlaws.cpp b/check/exam_powerlaws.cpp index f685ffb1..be62bfcf 100644 --- a/check/exam_powerlaws.cpp +++ b/check/exam_powerlaws.cpp @@ -4,7 +4,7 @@ * 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) 1999-2003 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 @@ -23,7 +23,7 @@ #include "exams.h" -static unsigned exam_powerlaws1(void) +static unsigned exam_powerlaws1() { // (x^a)^b = x^(a*b) @@ -31,67 +31,67 @@ static unsigned exam_powerlaws1(void) symbol a("a"); symbol b("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)) )) { + ex e1 = power(power(x,a), b); + if (!(is_exactly_a(e1) && + is_exactly_a(e1.op(0)) && + is_exactly_a(e1.op(0).op(0)) && + is_exactly_a(e1.op(0).op(1)) && + is_exactly_a(e1.op(1)) && + 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); - 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)) )) { + ex e2 = e1.subs(a==1); + if (!(is_exactly_a(e2) && + is_exactly_a(e2.op(0)) && + is_exactly_a(e2.op(1)) && + 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); - 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)) )) { + ex e3 = e1.subs(a==-1); + if (!(is_exactly_a(e3) && + is_exactly_a(e3.op(0)) && + is_exactly_a(e3.op(0).op(0)) && + is_exactly_a(e3.op(0).op(1)) && + is_exactly_a(e3.op(1)) && + 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)); - 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)) )) { + ex e4 = e1.subs(lst(a==-1, b==2.5)); + if (!(is_exactly_a(e4) && + is_exactly_a(e4.op(0)) && + is_exactly_a(e4.op(0).op(0)) && + is_exactly_a(e4.op(0).op(1)) && + is_exactly_a(e4.op(1)) && + 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)); - 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))) )) { + ex e5 = e1.subs(lst(a==-0.9, b==2.5)); + if (!(is_exactly_a(e5) && + is_exactly_a(e5.op(0)) && + is_exactly_a(e5.op(1)) && + 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)); - 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)) )) { + ex e6 = e1.subs(lst(a==numeric(3)+numeric(5.3)*I, b==-5)); + if (!(is_exactly_a(e6) && + is_exactly_a(e6.op(0)) && + is_exactly_a(e6.op(1)) && + 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; @@ -100,7 +100,7 @@ static unsigned exam_powerlaws1(void) return 0; } -static unsigned exam_powerlaws2(void) +static unsigned exam_powerlaws2() { // (a*x)^b = a^b * x^b @@ -108,88 +108,88 @@ static unsigned exam_powerlaws2(void) symbol a("a"); symbol b("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)) )) { + ex e1 = power(a*x,b); + if (!(is_exactly_a(e1) && + is_exactly_a(e1.op(0)) && + (e1.op(0).nops()==2) && + is_exactly_a(e1.op(0).op(0)) && + is_exactly_a(e1.op(0).op(1)) && + is_exactly_a(e1.op(1)) && + 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); - 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)) )) { + ex e2 = e1.subs(a==3); + if (!(is_exactly_a(e2) && + is_exactly_a(e2.op(0)) && + (e2.op(0).nops()==2) && + is_exactly_a(e2.op(0).op(0)) && + is_exactly_a(e2.op(0).op(1)) && + is_exactly_a(e2.op(1)) && + 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); - 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)) )) { + ex e3 = e1.subs(b==-3); + if (!(is_exactly_a(e3) && + (e3.nops()==2) && + is_exactly_a(e3.op(0)) && + is_exactly_a(e3.op(1)) && + 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); - 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)) )) { + ex e4 = e1.subs(b==4.5); + if (!(is_exactly_a(e4) && + is_exactly_a(e4.op(0)) && + (e4.op(0).nops()==2) && + is_exactly_a(e4.op(0).op(0)) && + is_exactly_a(e4.op(0).op(1)) && + is_exactly_a(e4.op(1)) && + 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)); - 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)* + ex e5 = e1.subs(lst(a==3.2, b==3+numeric(5)*I)); + if (!(is_exactly_a(e5) && + (e5.nops()==2) && + is_exactly_a(e5.op(0)) && + is_exactly_a(e5.op(1)) && + 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)); - 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)* + ex e6 = e1.subs(lst(a==-3.2, b==3+numeric(5)*I)); + if (!(is_exactly_a(e6) && + (e6.nops()==2) && + is_exactly_a(e6.op(0)) && + is_exactly_a(e6.op(1)) && + 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)); - 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)) )) { + ex e7 = e1.subs(lst(a==3+numeric(5)*I, b==3.2)); + if (!(is_exactly_a(e7) && + is_exactly_a(e7.op(0)) && + (e7.op(0).nops()==2) && + is_exactly_a(e7.op(0).op(0)) && + is_exactly_a(e7.op(0).op(1)) && + is_exactly_a(e7.op(1)) && + 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; @@ -198,7 +198,7 @@ static unsigned exam_powerlaws2(void) return 0; } -static unsigned exam_powerlaws3(void) +static unsigned exam_powerlaws3() { // numeric evaluation @@ -215,21 +215,21 @@ static unsigned exam_powerlaws3(void) } 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)))) { + if (!(is_exactly_a(e3) && + 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 e4 = power(numeric(5),evalf(numeric(1,2))); - if (!(is_ex_exactly_of_type(e4,numeric))) { + if (!(is_exactly_a(e4))) { clog << "5^(0.5) wrongly returned " << e4 << endl; return 1; } ex e5 = power(evalf(numeric(5)),numeric(1,2)); - if (!(is_ex_exactly_of_type(e5,numeric))) { + if (!(is_exactly_a(e5))) { clog << "5.0^(1/2) wrongly returned " << e5 << endl; return 1; } @@ -237,7 +237,7 @@ static unsigned exam_powerlaws3(void) return 0; } -static unsigned exam_powerlaws4(void) +static unsigned exam_powerlaws4() { // test for mul::eval() @@ -262,7 +262,7 @@ static unsigned exam_powerlaws4(void) return 0; } -static unsigned exam_powerlaws5(void) +static unsigned exam_powerlaws5() { // cabinet of slightly pathological cases @@ -275,16 +275,16 @@ static unsigned exam_powerlaws5(void) } ex e2 = pow(0,a); - if (!(is_ex_exactly_of_type(e2,power))) { + if (!(is_exactly_a(e2))) { clog << "0^a was evaluated to " << e2 - << " though nothing is known about a." << endl; + << " though nothing is known about a." << endl; return 1; } return 0; } -unsigned exam_powerlaws(void) +unsigned exam_powerlaws() { unsigned result = 0;