* Here we test manipulations on GiNaC's lortensors. */
/*
- * 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
static unsigned lortensor_check1(void)
{
- // checks simple identities of the metric tensor!
-
- unsigned result = 0;
- lorentzidx mu("mu"), nu("nu");
- ex e1, e2, e3, e4, e5, e6;
- e1 = lortensor_g(mu,nu);
- e2 = lortensor_g(nu,mu);
- e3 = e1 - e2; // g(~mu,~nu) - g(~nu,~mu) = 0 !
- e4 = lortensor_g(mu,mu.toggle_covariant());
- e5 = lortensor_g(mu.toggle_covariant(),mu);
- e6 = e4 - e5; // g(~mu,_mu) - g(_mu,~mu) = 0!
- if (!e3.is_zero()) {
- clog << e1 << "-" << e2 << " erroneously returned "
- << e3 << " instead of 0" << endl;
- ++result;
- }
- if (!e6.is_zero()) {
- clog << e4 << "-" << e5 << " erroneously returned "
- << e6 << " instead of 0" << endl;
- ++result;
- }
+ // checks simple identities of the metric tensor!
+
+ unsigned result = 0;
+ lorentzidx mu("mu"), nu("nu");
+ ex e1, e2, e3, e4, e5, e6;
+ e1 = lortensor_g(mu,nu);
+ e2 = lortensor_g(nu,mu);
+ e3 = e1 - e2; // g(~mu,~nu) - g(~nu,~mu) = 0 !
+ e4 = lortensor_g(mu,mu.toggle_covariant());
+ e5 = lortensor_g(mu.toggle_covariant(),mu);
+ e6 = e4 - e5; // g(~mu,_mu) - g(_mu,~mu) = 0!
+ if (!e3.is_zero()) {
+ clog << e1 << "-" << e2 << " erroneously returned "
+ << e3 << " instead of 0" << endl;
+ ++result;
+ }
+ if (!e6.is_zero()) {
+ clog << e4 << "-" << e5 << " erroneously returned "
+ << e6 << " instead of 0" << endl;
+ ++result;
+ }
- return result;
+ return result;
}
static unsigned lortensor_check2(void)
{
- // checks simple contraction properties of an arbitrary (symmetric!) rankn lortensor!
-
- unsigned result = 0;
- lorentzidx mu("mu"), nu("nu"), rho("rho");
- ex e1, e2, e3, e4, e5, e6, e7, e8, e9, e10;
- e1 = lortensor_g(mu,nu);
- e2 = lortensor_g(nu,mu);
- e3 = lortensor_rank1("p",mu.toggle_covariant());
- e4 = lortensor_rank1("p",nu);
- e5 = e3 * e1 - e3 * e2; // p_mu g(~mu,~nu) - p_mu g(~nu,~mu) = 0!
- e6 = simplify_lortensor(e3 * e1) - e4; // p~nu - p~nu = 0!
- e7 = lortensor_g(nu,rho);
- e8 = lortensor_rank2("F",mu.toggle_covariant(),nu.toggle_covariant());
- e9 = lortensor_rank2("F",mu.toggle_covariant(),rho);
- e10 = simplify_lortensor(e8 * e7) - e9; // F(_mu,_nu) g(~nu,~rho) - F(_mu,~rho) = 0!
- if (!e5.is_zero()) {
- clog << e3 << "*" << e1 << "-" << e3 << "*" << e2 << " erroneously returned "
- << e5 << " instead of 0" << endl;
- ++result;
- }
- if (!e6.is_zero()) {
- clog << " simplify_lortensor(e3 * e1)" << "-" << e4 << " erroneously returned"
- << e6 << " instead of 0" << endl;
- ++result;
- }
- if (!e10.is_zero()) {
- clog << " simplify_lortensor(e8 * e7)" << "-" << e9 << " erroneously returned"
- << e10 << " instead of 0" << endl;
- ++result;
- }
+ // checks simple contraction properties of an arbitrary (symmetric!) rankn lortensor!
+
+ unsigned result = 0;
+ lorentzidx mu("mu"), nu("nu"), rho("rho");
+ ex e1, e2, e3, e4, e5, e6, e7, e8, e9, e10;
+ e1 = lortensor_g(mu,nu);
+ e2 = lortensor_g(nu,mu);
+ e3 = lortensor_rank1("p",mu.toggle_covariant());
+ e4 = lortensor_rank1("p",nu);
+ e5 = e3 * e1 - e3 * e2; // p_mu g(~mu,~nu) - p_mu g(~nu,~mu) = 0!
+ e6 = simplify_lortensor(e3 * e1) - e4; // p~nu - p~nu = 0!
+ e7 = lortensor_g(nu,rho);
+ e8 = lortensor_rank2("F",mu.toggle_covariant(),nu.toggle_covariant());
+ e9 = lortensor_rank2("F",mu.toggle_covariant(),rho);
+ e10 = simplify_lortensor(e8 * e7) - e9; // F(_mu,_nu) g(~nu,~rho) - F(_mu,~rho) = 0!
+ if (!e5.is_zero()) {
+ clog << e3 << "*" << e1 << "-" << e3 << "*" << e2 << " erroneously returned "
+ << e5 << " instead of 0" << endl;
+ ++result;
+ }
+ if (!e6.is_zero()) {
+ clog << " simplify_lortensor(e3 * e1)" << "-" << e4 << " erroneously returned"
+ << e6 << " instead of 0" << endl;
+ ++result;
+ }
+ if (!e10.is_zero()) {
+ clog << " simplify_lortensor(e8 * e7)" << "-" << e9 << " erroneously returned"
+ << e10 << " instead of 0" << endl;
+ ++result;
+ }
- return result;
+ return result;
}
unsigned exam_noncommut(void)
{
- unsigned result = 0;
-
- cout << "examining behaviour of noncommutative objects" << flush;
- clog << "----------behaviour of noncommutative objects:" << endl;
-
- result += lortensor_check1(); cout << '.' << flush;
- result += lortensor_check2(); cout << '.' << flush;
-
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
-
- return result;
+ unsigned result = 0;
+
+ cout << "examining behaviour of noncommutative objects" << flush;
+ clog << "----------behaviour of noncommutative objects:" << endl;
+
+ result += lortensor_check1(); cout << '.' << flush;
+ result += lortensor_check2(); cout << '.' << flush;
+
+ if (!result) {
+ cout << " passed " << endl;
+ clog << "(no output)" << endl;
+ } else {
+ cout << " failed " << endl;
+ }
+
+ return result;
}