*/
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2020 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
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
+#include "ginac.h"
+using namespace GiNaC;
-#include "exams.h"
+#include <iostream>
+using namespace std;
#define VECSIZE 30
static unsigned exam_expand_subs()
return result;
}
-static unsigned exam_sqrfree()
-{
- unsigned result = 0;
- symbol x("x"), y("y");
- ex e1, e2;
-
- e1 = (1+x)*pow((2+x),2)*pow((3+x),3)*pow((4+x),4);
- e2 = sqrfree(expand(e1),lst(x));
- if (e1 != e2) {
- clog << "sqrfree(expand(" << e1 << ")) erroneously returned "
- << e2 << endl;
- ++result;
- }
-
- e1 = (x+y)*pow((x+2*y),2)*pow((x+3*y),3)*pow((x+4*y),4);
- e2 = sqrfree(expand(e1));
- if (e1 != e2) {
- clog << "sqrfree(expand(" << e1 << ")) erroneously returned "
- << e2 << endl;
- ++result;
- }
- e2 = sqrfree(expand(e1),lst(x));
- if (e1 != e2) {
- clog << "sqrfree(expand(" << e1 << "),[x]) erroneously returned "
- << e2 << endl;
- ++result;
- }
- e2 = sqrfree(expand(e1),lst(y));
- if (e1 != e2) {
- clog << "sqrfree(expand(" << e1 << "),[y]) erroneously returned "
- << e2 << endl;
- ++result;
- }
- e2 = sqrfree(expand(e1),lst(x,y));
- if (e1 != e2) {
- clog << "sqrfree(expand(" << e1 << "),[x,y]) erroneously returned "
- << e2 << endl;
- ++result;
- }
-
- return result;
-}
-
/* Arithmetic Operators should behave just as one expects from built-in types.
* When somebody screws up the operators this routine will most probably fail
* to compile. Unfortunately we can only test the stuff that is allowed, not
++result;
}
- // Prefix/postfix increment/decrement behaviour:
+ // Prefix/postfix increment/decrement behavior:
e1 = 7; e2 = 4;
i1 = 7; i2 = 4;
e1 = (--e2 = 2)++;
++result;
}
+ // And this used to fail in GiNaC 1.5.8 because it first substituted
+ // exp(x) -> exp(log(x)) -> x, and then substituted again x -> log(x)
+ e1 = exp(x);
+ e2 = e1.subs(x == log(x));
+ if (!e2.is_equal(x)) {
+ clog << "exp(x).subs(x==log(x)) erroneously returned " << e2 << " instead of x" << endl;
+ ++result;
+ }
+
e1 = sin(1+sin(x));
e2 = e1.subs(sin(wild()) == cos(wild()));
if (!e2.is_equal(cos(1+cos(x)))) {
unsigned result = 0;
symbol x("x"), y("y");
- ex e = ex(x*x*x*y*y).subs(x*y==2, subs_options::subs_algebraic);
+ ex e = ex(x*x*x*y*y).subs(x*y==2, subs_options::algebraic);
if (e != 4*x) {
- clog << "(x^3*y^2).subs(x*y==2,subs_options::subs_algebraic) erroneously returned " << e << endl;
+ clog << "(x^3*y^2).subs(x*y==2,subs_options::algebraic) erroneously returned " << e << endl;
++result;
}
- e = ex(x*x*x*x*x).subs(x*x==y, subs_options::subs_algebraic);
+ e = ex(x*x*x*x*x).subs(x*x==y, subs_options::algebraic);
if (e != y*y*x) {
- clog << "x^5.subs(x^2==y,subs_options::subs_algebraic) erroneously returned " << e << endl;
+ clog << "x^5.subs(x^2==y,subs_options::algebraic) erroneously returned " << e << endl;
++result;
}
-
+
+ e=x*x*y;
+ if (!e.has(x*y, has_options::algebraic))
+ { clog << "(x^2*y).has(x*y, has_options::algebraic) erroneously returned false." << endl;
+ ++result;
+ }
+
+ if (e.has(x*y*y, has_options::algebraic))
+ { clog << "(x^2*y).has(x*y*y, has_options::algebraic) erroneously returned true." << endl;
+ ++result;
+ }
+
+ e=x*x*x*y;
+ if (!e.has(x*x, has_options::algebraic))
+ { clog << "(x^3*y).has(x*x, has_options::algebraic) erroneously returned false." << endl;
+ ++result;
+ }
+
+ if (e.has(y*y, has_options::algebraic))
+ { clog << "(x^3*y).has(y*y, has_options::algebraic) erroneously returned true." << endl;
+ ++result;
+ }
+
+ return result;
+}
+
+/* Test suitable cases of the exponent power law: (e^t)^s=e^(ts). */
+static unsigned exam_exponent_power_law()
+{
+ unsigned result = 0;
+ symbol x("x");
+ realsymbol s("s");
+ possymbol t("t");
+
+ exmap pwr_exp =
+ { {pow(exp(x), 2), exp(2*x)},
+ {pow(exp(s), t), exp(s*t)},
+ {exp(x)*pow(exp(x),-1), 1} };
+
+ for (auto e : pwr_exp) {
+ if (! (e.first.is_equal(e.second)) ) {
+ clog << "power of exponent " << e.first << " produces error.\n";
+ ++result;
+ }
+ }
+
return result;
}
unsigned result = 0;
cout << "examining miscellaneous other things" << flush;
- clog << "----------miscellaneous other things:" << endl;
result += exam_expand_subs(); cout << '.' << flush;
result += exam_expand_subs2(); cout << '.' << flush;
result += exam_expand_power(); cout << '.' << flush;
- result += exam_sqrfree(); cout << '.' << flush;
result += exam_operator_semantics(); cout << '.' << flush;
result += exam_subs(); cout << '.' << flush;
result += exam_joris(); cout << '.' << flush;
result += exam_subs_algebraic(); cout << '.' << flush;
-
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
+ result += exam_exponent_power_law(); cout << '.' << flush;
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_misc();
+}
git://www.ginac.de / ginac.git / blobdiff