*
* 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
*
* 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
- unsigned result = 0;
- symbol x("x"), y("y"), z("z");
- ex e, f, g;
-
- e = x * y * z;
- f = y * z;
- g = e / f;
-
- // In the first one expand did not do any job at all:
- if (!g.expand().is_equal(x)) {
- clog << "e = x*y*z; f = y*z; expand(e/f) erroneously returned "
- << g.expand() << endl;
- ++result;
- }
-
- // This one somehow used to return 0:
- e = pow(x + 1, -1);
- if (!e.expand().is_equal(e)) {
- clog << "expand(pow(x + 1, -1)) erroneously returned "
- << e.expand() << endl;
- ++result;
- }
-
- return result;
+ unsigned result = 0;
+ symbol x("x"), y("y"), z("z");
+ ex e, f, g;
+
+ e = x * y * z;
+ f = y * z;
+ g = e / f;
+
+ // In the first one expand did not do any job at all:
+ if (!g.expand().is_equal(x)) {
+ clog << "e = x*y*z; f = y*z; expand(e/f) erroneously returned "
+ << g.expand() << endl;
+ ++result;
+ }
+
+ // This one somehow used to return 0:
+ e = pow(x + 1, -1);
+ if (!e.expand().is_equal(e)) {
+ clog << "expand(pow(x + 1, -1)) erroneously returned "
+ << e.expand() << endl;
+ ++result;
+ }
+
+ return result;
- unsigned result = 0;
- symbol x("x"), y("y"), z("z");
- ex e, f, g;
-
- e = x + z*x;
- f = e*y;
- g = f - e*y;
-
- // After .expand(), g should be zero:
- if (!g.expand().is_zero()) {
- clog << "e = (x + z*x); f = e*y; expand(f - e*y) erroneously returned "
- << g.expand() << endl;
- ++result;
- }
- // After .eval(), g should be zero:
- if (!g.eval().is_zero()) {
- clog << "e = (x + z*x); f = e*y; eval(f - e*y) erroneously returned "
- << g.eval() << endl;
- ++result;
- }
- // This actually worked already back in April 1999.
- // But we are *very* paranoic!
- if (!g.expand().eval().is_zero()) {
- clog << "e = (x + z*x); f = e*y; eval(expand(f - e*y)) erroneously returned "
- << g.expand().eval() << endl;
- ++result;
- }
-
- return result;
+ unsigned result = 0;
+ symbol x("x"), y("y"), z("z");
+ ex e, f, g;
+
+ e = x + z*x;
+ f = e*y;
+ g = f - e*y;
+
+ // After .expand(), g should be zero:
+ if (!g.expand().is_zero()) {
+ clog << "e = (x + z*x); f = e*y; expand(f - e*y) erroneously returned "
+ << g.expand() << endl;
+ ++result;
+ }
+ // After .eval(), g should be zero:
+ if (!g.eval().is_zero()) {
+ clog << "e = (x + z*x); f = e*y; eval(f - e*y) erroneously returned "
+ << g.eval() << endl;
+ ++result;
+ }
+ // This actually worked already back in April 1999.
+ // But we are *very* paranoic!
+ if (!g.expand().eval().is_zero()) {
+ clog << "e = (x + z*x); f = e*y; eval(expand(f - e*y)) erroneously returned "
+ << g.expand().eval() << endl;
+ ++result;
+ }
+
+ return result;
- unsigned result = 0;
- symbol x("x"), y("y");
- ex e, f;
-
- e = x*y - y;
- f = e.subs(x == 2);
-
- if (!f.is_equal(y)) {
- clog << "e = x*y - y; f = e.subs(x == 2) erroneously returned "
- << f << endl;
- ++result;
- }
- if (!f.eval().is_equal(y)) {
- clog << "e = x*y - y; eval(e.subs(x == 2)) erroneously returned "
- << f.eval() << endl;
- ++result;
- }
- if (!f.expand().is_equal(y)) {
- clog << "e = x*y - y; expand(e.subs(x == 2)) erroneously returned "
- << f.expand() << endl;
- ++result;
- }
-
- return result;
+ unsigned result = 0;
+ symbol x("x"), y("y");
+ ex e, f;
+
+ e = x*y - y;
+ f = e.subs(x == 2);
+
+ if (!f.is_equal(y)) {
+ clog << "e = x*y - y; f = e.subs(x == 2) erroneously returned "
+ << f << endl;
+ ++result;
+ }
+ if (!f.eval().is_equal(y)) {
+ clog << "e = x*y - y; eval(e.subs(x == 2)) erroneously returned "
+ << f.eval() << endl;
+ ++result;
+ }
+ if (!f.expand().is_equal(y)) {
+ clog << "e = x*y - y; expand(e.subs(x == 2)) erroneously returned "
+ << f.expand() << endl;
+ ++result;
+ }
+
+ return result;
}
// The fourth bug was also discovered on May 19th 1999 and fixed immediately:
static unsigned exam_paranoia4(void)
{
}
// The fourth bug was also discovered on May 19th 1999 and fixed immediately:
static unsigned exam_paranoia4(void)
{
- unsigned result = 0;
- symbol x("x");
- ex e, f, g;
-
- e = pow(x, 2) + x + 1;
- f = pow(x, 2) + x + 1;
- g = e - f;
-
- if (!g.is_zero()) {
- clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g erroneously returned "
- << g << endl;
- ++result;
- }
- if (!g.is_zero()) {
- clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g.eval() erroneously returned "
- << g.eval() << endl;
- ++result;
- }
-
- return result;
+ unsigned result = 0;
+ symbol x("x");
+ ex e, f, g;
+
+ e = pow(x, 2) + x + 1;
+ f = pow(x, 2) + x + 1;
+ g = e - f;
+
+ if (!g.is_zero()) {
+ clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g erroneously returned "
+ << g << endl;
+ ++result;
+ }
+ if (!g.is_zero()) {
+ clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g.eval() erroneously returned "
+ << g.eval() << endl;
+ ++result;
+ }
+
+ return result;
}
// The fifth oops was discovered on May 20th 1999 and fixed a day later:
static unsigned exam_paranoia5(void)
{
}
// The fifth oops was discovered on May 20th 1999 and fixed a day later:
static unsigned exam_paranoia5(void)
{
- if (!(e-f).expand().is_zero()) {
- clog << "e = pow(x*y+1,2); f = pow(x,2)*pow(y,2) + 2*x*y + 1; (e-f).expand() erroneously returned "
- << (e-f).expand() << endl;
- ++result;
- }
+ if (!(e-f).expand().is_zero()) {
+ clog << "e = pow(x*y+1,2); f = pow(x,2)*pow(y,2) + 2*x*y + 1; (e-f).expand() erroneously returned "
+ << (e-f).expand() << endl;
+ ++result;
+ }
}
// This one was discovered on Jun 1st 1999 and fixed the same day:
static unsigned exam_paranoia6(void)
{
}
// This one was discovered on Jun 1st 1999 and fixed the same day:
static unsigned exam_paranoia6(void)
{
- unsigned result = 0;
- symbol x("x");
-
- ex e, f;
- e = pow(x, -5);
- f = e.denom();
-
- if (!f.is_equal(pow(x, 5))) {
- clog << "e = pow(x, -5); f = e.denom(); f was " << f << " (should be x^5)" << endl;
- ++result;
- }
- return result;
+ unsigned result = 0;
+ symbol x("x");
+
+ ex e, f;
+ e = pow(x, -5);
+ f = e.denom();
+
+ if (!f.is_equal(pow(x, 5))) {
+ clog << "e = pow(x, -5); f = e.denom(); f was " << f << " (should be x^5)" << endl;
+ ++result;
+ }
+ return result;
}
// This one was introduced on June 1st 1999 by some aggressive manual
// optimization. Discovered and fixed on June 2nd.
static unsigned exam_paranoia7(void)
{
}
// This one was introduced on June 1st 1999 by some aggressive manual
// optimization. Discovered and fixed on June 2nd.
static unsigned exam_paranoia7(void)
{
- unsigned result = 0;
- symbol x("x"), y("y");
-
- ex e = y + y*x + 2;
- ex f = expand(pow(e, 2) - (e*y*(x + 1)));
-
- if (f.nops() > 3) {
- clog << "e=y+y*x+2; f=expand(pow(e,2)-(e*y*(x+1))) has "
- << f.nops() << " arguments instead of 3 ( f=="
- << f << " )" << endl;
- ++result;
- }
- return result;
+ unsigned result = 0;
+ symbol x("x"), y("y");
+
+ ex e = y + y*x + 2;
+ ex f = expand(pow(e, 2) - (e*y*(x + 1)));
+
+ if (f.nops() > 3) {
+ clog << "e=y+y*x+2; f=expand(pow(e,2)-(e*y*(x+1))) has "
+ << f.nops() << " arguments instead of 3 ( f=="
+ << f << " )" << endl;
+ ++result;
+ }
+ return result;
- unsigned result = 0;
- symbol x("x");
-
- ex e = -x / (x+1);
- ex f;
-
- try {
- f = e.normal();
- if (!f.is_equal(e)) {
- clog << "normal(-x/(x+1)) returns " << f << " instead of -x/(x+1)\n";
- ++result;
- }
- } catch (const exception &err) {
- clog << "normal(-x/(x+1) throws " << err.what() << endl;
- ++result;
- }
- return result;
+ unsigned result = 0;
+ symbol x("x");
+
+ ex e = -x / (x+1);
+ ex f;
+
+ try {
+ f = e.normal();
+ if (!f.is_equal(e)) {
+ clog << "normal(-x/(x+1)) returns " << f << " instead of -x/(x+1)\n";
+ ++result;
+ }
+ } catch (const exception &err) {
+ clog << "normal(-x/(x+1) throws " << err.what() << endl;
+ ++result;
+ }
+ return result;
- if (!f.is_equal(1-2*x+pow(x,2)/2)) {
- clog << "normal(" << e << ") returns " << f << " instead of 1-2*x+1/2*x^2\n";
- ++result;
- }
- return result;
+ if (!f.is_equal(1-2*x+pow(x,2)/2)) {
+ clog << "normal(" << e << ") returns " << f << " instead of 1-2*x+1/2*x^2\n";
+ ++result;
+ }
+ return result;
- unsigned result = 0;
-
- ex b = numeric(2);
- ex e = numeric(3,2);
- ex r;
-
- try {
- r = pow(b,e).eval();
- if (!(r-2*sqrt(ex(2))).is_zero()) {
- clog << "2^(3/2) erroneously returned " << r << " instead of 2*sqrt(2)" << endl;
- ++result;
- }
- } catch (const exception &err) {
- clog << "2^(3/2) throws " << err.what() << endl;
- ++result;
- }
- return result;
+ unsigned result = 0;
+
+ ex b = numeric(2);
+ ex e = numeric(3,2);
+ ex r;
+
+ try {
+ r = pow(b,e).eval();
+ if (!(r-2*sqrt(ex(2))).is_zero()) {
+ clog << "2^(3/2) erroneously returned " << r << " instead of 2*sqrt(2)" << endl;
+ ++result;
+ }
+ } catch (const exception &err) {
+ clog << "2^(3/2) throws " << err.what() << endl;
+ ++result;
+ }
+ return result;
// child (did you get this? Well, never mind...). Fixed on Feb 21th 2000.
static unsigned exam_paranoia11(void)
{
// child (did you get this? Well, never mind...). Fixed on Feb 21th 2000.
static unsigned exam_paranoia11(void)
{
- unsigned result = 0;
- symbol a("a"), b("b"), c("c");
-
- ex e = c - (b*a-c*a)/(4-a);
- ex f;
- ex d = (b*a-4*c)/(a-4);
- try {
- f = e.normal();
- if (!(f - d).expand().is_zero()) {
- clog << "normal(" << e << ") returns " << f
- << " instead of " << d << endl;
- ++result;
- }
- } catch (const exception & err) {
- clog << "normal(" << e << ") cought an exception: "
- << err.what() << endl;
- ++result;
- }
- return result;
+ unsigned result = 0;
+ symbol a("a"), b("b"), c("c");
+
+ ex e = (b*a-c*a)/(4-a);
+ ex d = (c*a-b*a)/(a-4);
+
+ try {
+ ex f = e.normal();
+ if (!(f - d).expand().is_zero()) {
+ clog << "normal(" << e << ") returns " << f
+ << " instead of " << d << endl;
+ ++result;
+ }
+ } catch (const exception &err) {
+ clog << "normal(" << e << ") throws " << err.what() << endl;
+ ++result;
+ }
+ return result;
- unsigned result = 0;
-
- cout << "examining several historic failures just out of paranoia" << flush;
- clog << "----------several historic failures:" << endl;
-
- result += exam_paranoia1(); cout << '.' << flush;
- result += exam_paranoia2(); cout << '.' << flush;
- result += exam_paranoia3(); cout << '.' << flush;
- result += exam_paranoia4(); cout << '.' << flush;
- result += exam_paranoia5(); cout << '.' << flush;
- result += exam_paranoia6(); cout << '.' << flush;
- result += exam_paranoia7(); cout << '.' << flush;
- result += exam_paranoia8(); cout << '.' << flush;
- result += exam_paranoia9(); cout << '.' << flush;
- result += exam_paranoia10(); cout << '.' << flush;
- result += exam_paranoia11(); cout << '.' << flush;
- result += exam_paranoia12(); cout << '.' << flush;
- result += exam_paranoia13(); cout << '.' << flush;
-
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
-
- return result;
+ unsigned result = 0;
+
+ cout << "examining several historic failures just out of paranoia" << flush;
+ clog << "----------several historic failures:" << endl;
+
+ result += exam_paranoia1(); cout << '.' << flush;
+ result += exam_paranoia2(); cout << '.' << flush;
+ result += exam_paranoia3(); cout << '.' << flush;
+ result += exam_paranoia4(); cout << '.' << flush;
+ result += exam_paranoia5(); cout << '.' << flush;
+ result += exam_paranoia6(); cout << '.' << flush;
+ result += exam_paranoia7(); cout << '.' << flush;
+ result += exam_paranoia8(); cout << '.' << flush;
+ result += exam_paranoia9(); cout << '.' << flush;
+ result += exam_paranoia10(); cout << '.' << flush;
+ result += exam_paranoia11(); cout << '.' << flush;
+ result += exam_paranoia12(); cout << '.' << flush;
+ result += exam_paranoia13(); cout << '.' << flush;
+
+ if (!result) {
+ cout << " passed " << endl;
+ clog << "(no output)" << endl;
+ } else {
+ cout << " failed " << endl;
+ }
+
+ return result;