for (int j=0; j<4; j++) {
ex esub = e.subs(
is_a<varidx>(mu)
- ? lst (
+ ? lst {
mu == idx(j, mu.get_dim()),
ex_to<varidx>(mu).toggle_variance() == idx(j, mu.get_dim())
- )
- : lst(mu == idx(j, mu.get_dim()))
+ }
+ : lst{mu == idx(j, mu.get_dim())}
);
if (!(canonicalize_clifford(esub).is_zero())) {
clog << "simplify_indexed(" << e1 << ") - (" << e2 << ") erroneously returned "
result += check_equal(dirac_trace(e, 0), dirac_ONE(1) / 4);
result += check_equal(dirac_trace(e, 1), dirac_ONE(0) / 4);
result += check_equal(dirac_trace(e, 2), e);
- result += check_equal(dirac_trace(e, lst(0, 1)), 1);
+ result += check_equal(dirac_trace(e, lst{0, 1}), 1);
e = dirac_gamma(mu, 0) * dirac_gamma(mu.toggle_variance(), 1) * dirac_gamma(nu, 0) * dirac_gamma(nu.toggle_variance(), 1);
result += check_equal_simplify(dirac_trace(e, 0), 4 * dim * dirac_ONE(1));
// Fails with new tinfo mechanism because the order of gamma matrices with different rl depends on luck.
// TODO: better check.
//result += check_equal_simplify(dirac_trace(e, 2), canonicalize_clifford(e)); // e will be canonicalized by the calculation of the trace
- result += check_equal_simplify(dirac_trace(e, lst(0, 1)), 16 * dim);
+ result += check_equal_simplify(dirac_trace(e, lst{0, 1}), 16 * dim);
return result;
}
realsymbol s("s"), t("t"), x("x"), y("y"), z("z");
ex c = clifford_unit(nu, A, 1);
- e = lst_to_clifford(lst(t, x, y, z), mu, A, 1) * lst_to_clifford(lst(1, 2, 3, 4), c);
+ e = lst_to_clifford(lst{t, x, y, z}, mu, A, 1) * lst_to_clifford(lst{1, 2, 3, 4}, c);
e1 = clifford_inverse(e);
result += check_equal_simplify_term2((e*e1).simplify_indexed(), dirac_ONE(1));
/* lst_to_clifford() and clifford_to_lst() check for vectors*/
- e = lst(t, x, y, z);
+ e = lst{t, x, y, z};
result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, false), e);
result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e);
/* lst_to_clifford() and clifford_to_lst() check for pseudovectors*/
- e = lst(s, t, x, y, z);
+ e = lst{s, t, x, y, z};
result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, false), e);
result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e);
c = clifford_unit(nu, A);
e = clifford_moebius_map(0, dirac_ONE(),
- dirac_ONE(), 0, lst(t, x, y, z), A);
+ dirac_ONE(), 0, lst{t, x, y, z}, A);
/* this is just the inversion*/
M1 = 0, dirac_ONE(),
dirac_ONE(), 0;
- e1 = clifford_moebius_map(M1, lst(t, x, y, z), A);
+ e1 = clifford_moebius_map(M1, lst{t, x, y, z}, A);
/* the inversion again*/
result += check_equal_lst(e, e1);
- e1 = clifford_to_lst(clifford_inverse(lst_to_clifford(lst(t, x, y, z), mu, A)), c);
+ e1 = clifford_to_lst(clifford_inverse(lst_to_clifford(lst{t, x, y, z}, mu, A)), c);
result += check_equal_lst(e, e1);
- e = clifford_moebius_map(dirac_ONE(), lst_to_clifford(lst(1, 2, 3, 4), nu, A),
- 0, dirac_ONE(), lst(t, x, y, z), A);
+ e = clifford_moebius_map(dirac_ONE(), lst_to_clifford(lst{1, 2, 3, 4}, nu, A),
+ 0, dirac_ONE(), lst{t, x, y, z}, A);
/*this is just a shift*/
- M2 = dirac_ONE(), lst_to_clifford(lst(1, 2, 3, 4), c),
+ M2 = dirac_ONE(), lst_to_clifford(lst{1, 2, 3, 4}, c),
0, dirac_ONE();
- e1 = clifford_moebius_map(M2, lst(t, x, y, z), c);
+ e1 = clifford_moebius_map(M2, lst{t, x, y, z}, c);
/* the same shift*/
result += check_equal_lst(e, e1);
- result += check_equal(e, lst(t+1, x+2, y+3, z+4));
+ result += check_equal(e, lst{t+1, x+2, y+3, z+4});
/* Check the group law for Moebius maps */
e = clifford_moebius_map(M1, ex_to<lst>(e1), c);
/*composition of M1 and M2*/
- e1 = clifford_moebius_map(M1.mul(M2), lst(t, x, y, z), c);
+ e1 = clifford_moebius_map(M1.mul(M2), lst{t, x, y, z}, c);
/* the product M1*M2*/
result += check_equal_lst(e, e1);
return result;
realsymbol a("a");
varidx mu(symbol("mu", "\\mu"), 1);
- ex e = clifford_unit(mu, diag_matrix(lst(-1))), e0 = e.subs(mu==0);
+ ex e = clifford_unit(mu, diag_matrix(lst{-1})), e0 = e.subs(mu==0);
result += ( exp(a*e0)*e0*e0 == -exp(e0*a) ) ? 0 : 1;
return result;
result += clifford_check5(); cout << '.' << flush;
// anticommuting, symmetric examples
- result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst(-1, 1, 1, 1))));
- result += clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, 1, 1, 1))));; cout << '.' << flush;
- result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst(-1, -1, -1, -1))))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, -1, -1, -1))));; cout << '.' << flush;
- result += clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, 1, 1, -1))))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, 1, 1, -1))));; cout << '.' << flush;
- result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst(-1, 0, 1, -1))))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, 0, 1, -1))));; cout << '.' << flush;
- result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst(-3, 0, 2, -1))))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-3, 0, 2, -1))));; cout << '.' << flush;
+ result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst{-1, 1, 1, 1})));
+ result += clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-1, 1, 1, 1})));; cout << '.' << flush;
+ result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst{-1, -1, -1, -1})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-1, -1, -1, -1})));; cout << '.' << flush;
+ result += clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-1, 1, 1, -1})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-1, 1, 1, -1})));; cout << '.' << flush;
+ result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst{-1, 0, 1, -1})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-1, 0, 1, -1})));; cout << '.' << flush;
+ result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst{-3, 0, 2, -1})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-3, 0, 2, -1})));; cout << '.' << flush;
realsymbol s("s"), t("t"); // symbolic entries in matric
- result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst(-1, 1, s, t))))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst(-1, 1, s, t))));; cout << '.' << flush;
+ result += clifford_check6<varidx>(ex_to<matrix>(diag_matrix(lst{-1, 1, s, t})))+clifford_check6<idx>(ex_to<matrix>(diag_matrix(lst{-1, 1, s, t})));; cout << '.' << flush;
matrix A(4, 4);
A = 1, 0, 0, 0, // anticommuting, not symmetric, Tr=0