From: Richard Kreckel Date: Sat, 28 Nov 2015 14:43:46 +0000 (+0100) Subject: Use neseted initializer lists to construct matrix objects. X-Git-Tag: release_1-7-0~7^2~41 X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=commitdiff_plain;h=c6ead0d1f88d99b0d8cc99b2da8ef9e9c41a073f;hp=79cad1083c0ee300703bd2aff7220b2e666b42ef Use neseted initializer lists to construct matrix objects. Add constructor of initializer_list> to matrix. Use this syntax where, previously, ctor from comma-separated list of elements was used. Deprecate the ctor from comma-separated list. Note: The output format '[[a,b],[c,d]]' and ginsh syntax are unchanged because lists are printed '{a,b,c}' and a matrix is not a list of lists. --- diff --git a/check/exam_archive.cpp b/check/exam_archive.cpp index 8a9bf5f9..f6ca95e9 100644 --- a/check/exam_archive.cpp +++ b/check/exam_archive.cpp @@ -43,7 +43,7 @@ unsigned exam_archive() + lorentz_g( varidx(lst{x, -11*y, acos(2*x).series(x==3-5*I, 3)} * color_ONE() * metric_tensor(varidx(log(cos(128.0/(x*y))), 5), varidx(2, 5)), zeta(3)), - varidx(diag_matrix(lst{-1, Euler, atan(x/y==-15*I/17)}) + varidx(diag_matrix({-1, Euler, atan(x/y==-15*I/17)}) * delta_tensor(idx(x, 2), idx(wild(7), 3)), zeta(3), true), true ) diff --git a/check/exam_clifford.cpp b/check/exam_clifford.cpp index 0430e2da..ec64ba96 100644 --- a/check/exam_clifford.cpp +++ b/check/exam_clifford.cpp @@ -432,14 +432,13 @@ template unsigned clifford_check6(const matrix &A) result += check_equal_lst(clifford_to_lst(lst_to_clifford(e, c), c, true), e); /* Moebius map (both forms) checks for symmetric metrics only */ - matrix M1(2, 2), M2(2, 2); 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; + matrix M1 = {{0, dirac_ONE()}, + {dirac_ONE(), 0}}; e1 = clifford_moebius_map(M1, lst{t, x, y, z}, A); /* the inversion again*/ result += check_equal_lst(e, e1); @@ -448,10 +447,10 @@ template unsigned clifford_check6(const matrix &A) 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); + 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), - 0, dirac_ONE(); + matrix 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); /* the same shift*/ result += check_equal_lst(e, e1); @@ -546,7 +545,7 @@ static unsigned clifford_check8() 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({-1})), e0 = e.subs(mu==0); result += ( exp(a*e0)*e0*e0 == -exp(e0*a) ) ? 0 : 1; return result; @@ -565,45 +564,45 @@ unsigned exam_clifford() result += clifford_check5(); cout << '.' << flush; // anticommuting, symmetric examples - result += clifford_check6(ex_to(diag_matrix(lst{-1, 1, 1, 1}))); - result += clifford_check6(ex_to(diag_matrix(lst{-1, 1, 1, 1})));; cout << '.' << flush; - result += clifford_check6(ex_to(diag_matrix(lst{-1, -1, -1, -1})))+clifford_check6(ex_to(diag_matrix(lst{-1, -1, -1, -1})));; cout << '.' << flush; - result += clifford_check6(ex_to(diag_matrix(lst{-1, 1, 1, -1})))+clifford_check6(ex_to(diag_matrix(lst{-1, 1, 1, -1})));; cout << '.' << flush; - result += clifford_check6(ex_to(diag_matrix(lst{-1, 0, 1, -1})))+clifford_check6(ex_to(diag_matrix(lst{-1, 0, 1, -1})));; cout << '.' << flush; - result += clifford_check6(ex_to(diag_matrix(lst{-3, 0, 2, -1})))+clifford_check6(ex_to(diag_matrix(lst{-3, 0, 2, -1})));; cout << '.' << flush; + result += clifford_check6(ex_to(diag_matrix({-1, 1, 1, 1}))); + result += clifford_check6(ex_to(diag_matrix({-1, 1, 1, 1})));; cout << '.' << flush; + result += clifford_check6(ex_to(diag_matrix({-1, -1, -1, -1})))+clifford_check6(ex_to(diag_matrix({-1, -1, -1, -1})));; cout << '.' << flush; + result += clifford_check6(ex_to(diag_matrix({-1, 1, 1, -1})))+clifford_check6(ex_to(diag_matrix({-1, 1, 1, -1})));; cout << '.' << flush; + result += clifford_check6(ex_to(diag_matrix({-1, 0, 1, -1})))+clifford_check6(ex_to(diag_matrix({-1, 0, 1, -1})));; cout << '.' << flush; + result += clifford_check6(ex_to(diag_matrix({-3, 0, 2, -1})))+clifford_check6(ex_to(diag_matrix({-3, 0, 2, -1})));; cout << '.' << flush; realsymbol s("s"), t("t"); // symbolic entries in matric - result += clifford_check6(ex_to(diag_matrix(lst{-1, 1, s, t})))+clifford_check6(ex_to(diag_matrix(lst{-1, 1, s, t})));; cout << '.' << flush; + result += clifford_check6(ex_to(diag_matrix({-1, 1, s, t})))+clifford_check6(ex_to(diag_matrix({-1, 1, s, t})));; cout << '.' << flush; matrix A(4, 4); - A = 1, 0, 0, 0, // anticommuting, not symmetric, Tr=0 - 0, -1, 0, 0, - 0, 0, 0, -1, - 0, 0, 1, 0; + A = {{1, 0, 0, 0}, // anticommuting, not symmetric, Tr=0 + {0, -1, 0, 0}, + {0, 0, 0, -1}, + {0, 0, 1, 0}}; result += clifford_check6(A)+clifford_check6(A);; cout << '.' << flush; - A = 1, 0, 0, 0, // anticommuting, not symmetric, Tr=2 - 0, 1, 0, 0, - 0, 0, 0, -1, - 0, 0, 1, 0; + A = {{1, 0, 0, 0}, // anticommuting, not symmetric, Tr=2 + {0, 1, 0, 0}, + {0, 0, 0, -1}, + {0, 0, 1, 0}}; result += clifford_check6(A)+clifford_check6(A);; cout << '.' << flush; - A = 1, 0, 0, 0, // not anticommuting, symmetric, Tr=0 - 0, -1, 0, 0, - 0, 0, 0, -1, - 0, 0, -1, 0; + A = {{1, 0, 0, 0}, // not anticommuting, symmetric, Tr=0 + {0, -1, 0, 0}, + {0, 0, 0, -1}, + {0, 0, -1, 0}}; result += clifford_check6(A)+clifford_check6(A);; cout << '.' << flush; - A = 1, 0, 0, 0, // not anticommuting, symmetric, Tr=2 - 0, 1, 0, 0, - 0, 0, 0, -1, - 0, 0, -1, 0; + A = {{1, 0, 0, 0}, // not anticommuting, symmetric, Tr=2 + {0, 1, 0, 0}, + {0, 0, 0, -1}, + {0, 0, -1, 0}}; result += clifford_check6(A)+clifford_check6(A);; cout << '.' << flush; - A = 1, 1, 0, 0, // not anticommuting, not symmetric, Tr=4 - 0, 1, 1, 0, - 0, 0, 1, 1, - 0, 0, 0, 1; + A = {{1, 1, 0, 0}, // not anticommuting, not symmetric, Tr=4 + {0, 1, 1, 0}, + {0, 0, 1, 1}, + {0, 0, 0, 1}}; result += clifford_check6(A)+clifford_check6(A);; cout << '.' << flush; symbol dim("D"); diff --git a/check/exam_indexed.cpp b/check/exam_indexed.cpp index cf58ac7f..efb12c63 100644 --- a/check/exam_indexed.cpp +++ b/check/exam_indexed.cpp @@ -244,18 +244,16 @@ static unsigned edyn_check() symbol Bx("Bx"), By("By"), Bz("Bz"); // Lorentz transformation matrix (boost along x axis) - matrix L(4, 4); - L = gamma, -beta*gamma, 0, 0, - -beta*gamma, gamma, 0, 0, - 0, 0, 1, 0, - 0, 0, 0, 1; + matrix L = {{ gamma, -beta*gamma, 0, 0}, + {-beta*gamma, gamma, 0, 0}, + { 0, 0, 1, 0}, + { 0, 0, 0, 1}}; // Electromagnetic field tensor - matrix F(4, 4); - F = 0, -Ex, -Ey, -Ez, - Ex, 0, -Bz, By, - Ey, Bz, 0, -Bx, - Ez, -By, Bx, 0; + matrix F = {{ 0, -Ex, -Ey, -Ez}, + {Ex, 0, -Bz, By}, + {Ey, Bz, 0, -Bx}, + {Ez, -By, Bx, 0}}; // Indices symbol s_mu("mu"), s_nu("nu"), s_rho("rho"), s_sigma("sigma"); diff --git a/check/exam_matrices b/check/exam_matrices new file mode 100755 index 00000000..92ffc816 Binary files /dev/null and b/check/exam_matrices differ diff --git a/check/exam_matrices.cpp b/check/exam_matrices.cpp index b5b27ffc..6e06330a 100644 --- a/check/exam_matrices.cpp +++ b/check/exam_matrices.cpp @@ -37,7 +37,7 @@ static unsigned matrix_determinants() symbol g("g"), h("h"), i("i"); // check symbolic trivial matrix determinant - m1.set(0,0,a); + m1 = matrix{{a}}; det = m1.determinant(); if (det != a) { clog << "determinant of 1x1 matrix " << m1 @@ -46,8 +46,8 @@ static unsigned matrix_determinants() } // check generic dense symbolic 2x2 matrix determinant - m2.set(0,0,a).set(0,1,b); - m2.set(1,0,c).set(1,1,d); + m2 = matrix{{a, b}, + {c, d}}; det = m2.determinant(); if (det != (a*d-b*c)) { clog << "determinant of 2x2 matrix " << m2 @@ -56,9 +56,9 @@ static unsigned matrix_determinants() } // check generic dense symbolic 3x3 matrix determinant - m3.set(0,0,a).set(0,1,b).set(0,2,c); - m3.set(1,0,d).set(1,1,e).set(1,2,f); - m3.set(2,0,g).set(2,1,h).set(2,2,i); + m3 = matrix{{a, b, c}, + {d, e, f}, + {g, h, i}}; det = m3.determinant(); if (det != (a*e*i - a*f*h - d*b*i + d*c*h + g*b*f - g*c*e)) { clog << "determinant of 3x3 matrix " << m3 @@ -67,9 +67,9 @@ static unsigned matrix_determinants() } // check dense numeric 3x3 matrix determinant - m3.set(0,0,numeric(0)).set(0,1,numeric(-1)).set(0,2,numeric(3)); - m3.set(1,0,numeric(3)).set(1,1,numeric(-2)).set(1,2,numeric(2)); - m3.set(2,0,numeric(3)).set(2,1,numeric(4)).set(2,2,numeric(-2)); + m3 = matrix{{0, -1, 3}, + {3, -2, 2}, + {3, 4, -2}}; det = m3.determinant(); if (det != 42) { clog << "determinant of 3x3 matrix " << m3 @@ -78,8 +78,8 @@ static unsigned matrix_determinants() } // check dense symbolic 2x2 matrix determinant - m2.set(0,0,a/(a-b)).set(0,1,1); - m2.set(1,0,b/(a-b)).set(1,1,1); + m2 = matrix{{a/(a-b), 1}, + {b/(a-b), 1}}; det = m2.determinant(); if (det != 1) { if (det.normal() == 1) // only half wrong @@ -101,9 +101,9 @@ static unsigned matrix_determinants() } // check characteristic polynomial - m3.set(0,0,a).set(0,1,-2).set(0,2,2); - m3.set(1,0,3).set(1,1,a-1).set(1,2,2); - m3.set(2,0,3).set(2,1,4).set(2,2,a-3); + m3 = matrix{{a, -2, 2}, + {3, a-1, 2}, + {3, 4, a-3}}; ex p = m3.charpoly(a); if (p != 0) { clog << "charpoly of 3x3 matrix " << m3 @@ -135,10 +135,9 @@ static unsigned matrix_invert1() static unsigned matrix_invert2() { unsigned result = 0; - matrix m(2,2); symbol a("a"), b("b"), c("c"), d("d"); - m.set(0,0,a).set(0,1,b); - m.set(1,0,c).set(1,1,d); + matrix m = {{a, b}, + {c, d}}; matrix m_i = m.inverse(); ex det = m.determinant(); @@ -157,13 +156,12 @@ static unsigned matrix_invert2() static unsigned matrix_invert3() { unsigned result = 0; - matrix m(3,3); symbol a("a"), b("b"), c("c"); symbol d("d"), e("e"), f("f"); symbol g("g"), h("h"), i("i"); - m.set(0,0,a).set(0,1,b).set(0,2,c); - m.set(1,0,d).set(1,1,e).set(1,2,f); - m.set(2,0,g).set(2,1,h).set(2,2,i); + matrix m = {{a, b, c}, + {d, e, f}, + {g, h, i}}; matrix m_i = m.inverse(); ex det = m.determinant(); @@ -187,36 +185,32 @@ static unsigned matrix_invert3() static unsigned matrix_solve2() { // check the solution of the multiple system A*X = B: - // [ 1 2 -1 ] [ x0 y0 ] [ 4 0 ] - // [ 1 4 -2 ]*[ x1 y1 ] = [ 7 0 ] - // [ a -2 2 ] [ x2 y2 ] [ a 4 ] + // [ 1 2 -1 ] [ x0 y0 ] [ 4 0 ] + // [ 1 4 -2 ]*[ x1 y1 ] = [ 7 0 ] + // [ a -2 2 ] [ x2 y2 ] [ a 4 ] unsigned result = 0; symbol a("a"); symbol x0("x0"), x1("x1"), x2("x2"); symbol y0("y0"), y1("y1"), y2("y2"); - matrix A(3,3); - A.set(0,0,1).set(0,1,2).set(0,2,-1); - A.set(1,0,1).set(1,1,4).set(1,2,-2); - A.set(2,0,a).set(2,1,-2).set(2,2,2); - matrix B(3,2); - B.set(0,0,4).set(1,0,7).set(2,0,a); - B.set(0,1,0).set(1,1,0).set(2,1,4); - matrix X(3,2); - X.set(0,0,x0).set(1,0,x1).set(2,0,x2); - X.set(0,1,y0).set(1,1,y1).set(2,1,y2); - matrix cmp(3,2); - cmp.set(0,0,1).set(1,0,3).set(2,0,3); - cmp.set(0,1,0).set(1,1,2).set(2,1,4); + matrix A = {{1, 2, -1}, + {1, 4, -2}, + {a, -2, 2}}; + matrix B = {{4, 0}, + {7, 0}, + {a, 4}}; + matrix X = {{x0 ,y0}, + {x1, y1}, + {x2, y2}}; + matrix cmp = {{1, 0}, + {3, 2}, + {3, 4}}; matrix sol(A.solve(X, B)); - for (unsigned ro=0; ro<3; ++ro) - for (unsigned co=0; co<2; ++co) - if (cmp(ro,co) != sol(ro,co)) - result = 1; - if (result) { + if (cmp != sol) { clog << "Solving " << A << " * " << X << " == " << B << endl << "erroneously returned " << sol << endl; + result = 1; } - + return result; } @@ -224,16 +218,12 @@ static unsigned matrix_evalm() { unsigned result = 0; - matrix S(2, 2, lst{ - 1, 2, - 3, 4 - }), T(2, 2, lst{ - 1, 1, - 2, -1 - }), R(2, 2, lst{ - 27, 14, - 36, 26 - }); + matrix S {{1, 2}, + {3, 4}}; + matrix T {{1, 1}, + {2, -1}}; + matrix R {{27, 14}, + {36, 26}}; ex e = ((S + T) * (S + 2*T)); ex f = e.evalm(); @@ -258,18 +248,18 @@ static unsigned matrix_rank() } // a trivial rank one example - m = 1, 0, 0, - 2, 0, 0, - 3, 0, 0; + m = {{1, 0, 0}, + {2, 0, 0}, + {3, 0, 0}}; if (m.rank() != 1) { clog << "The rank of " << m << " was not computed correctly." << endl; ++result; } // an example from Maple's help with rank two - m = x, 1, 0, - 0, 0, 1, - x*y, y, 1; + m = {{x, 1, 0}, + {0, 0, 1}, + {x*y, y, 1}}; if (m.rank() != 2) { clog << "The rank of " << m << " was not computed correctly." << endl; ++result; @@ -288,10 +278,9 @@ static unsigned matrix_rank() static unsigned matrix_misc() { unsigned result = 0; - matrix m1(2,2); symbol a("a"), b("b"), c("c"), d("d"), e("e"), f("f"); - m1.set(0,0,a).set(0,1,b); - m1.set(1,0,c).set(1,1,d); + matrix m1 = {{a, b}, + {c, d}}; ex tr = trace(m1); // check a simple trace @@ -308,10 +297,9 @@ static unsigned matrix_misc() << " erroneously returned " << m2 << endl; ++result; } - matrix m3(3,2); - m3.set(0,0,a).set(0,1,b); - m3.set(1,0,c).set(1,1,d); - m3.set(2,0,e).set(2,1,f); + matrix m3 = {{a, b}, + {c, d}, + {e, f}}; if (transpose(transpose(m3)) != m3) { clog << "transposing 3x2 matrix " << m3 << " twice" << " erroneously returned " << transpose(transpose(m3)) << endl; diff --git a/check/time_lw_O.cpp b/check/time_lw_O.cpp index 715d5019..b7e41c0e 100644 --- a/check/time_lw_O.cpp +++ b/check/time_lw_O.cpp @@ -37,66 +37,63 @@ static const symbol c1("c1"), c2("c2"), c3("c3"), c4("c4"), c5("c5"), c6("c6"); static const ex det1() { - matrix d1(15,15); - d1 = a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, - 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0, - 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0, - 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, - 0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, - 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0, - 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, - 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0, - 0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, - 0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, - 0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, - 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0; + matrix d1 = {{a6, a5, a4, a3, a2, a1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, + {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0}, + {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0}, + {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0}, + {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0}, + {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1}, + {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0}, + {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0}, + {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0}, + {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0}, + {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1}, + {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1}, + {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0}, + {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0}, + {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0}}; return d1.determinant(); } static const ex det2() { - matrix d2(15,15); - d2 = b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, - 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0, - 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0, - 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, - 0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, - 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0, - 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, - 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0, - 0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, - 0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, - 0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, - 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0; + matrix d2 = {{b6, b5, b4, b3, b2, b1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, + {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0}, + {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0}, + {0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0, 0}, + {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0}, + {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1}, + {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0}, + {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0}, + {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0}, + {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0}, + {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1}, + {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1}, + {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0}, + {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0}, + {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0}}; return d2.determinant(); } static const ex det3() { - matrix d3(15,15); - d3 = c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, - 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0, - 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0, - 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, - 0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, - 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0, - 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, - 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0, - 0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, - 0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, - 0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, - 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0; + matrix d3 = {{c6, c5, c4, c3, c2, c1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, + {0, 0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0}, + {0, c6, 0, c5, c4, 0, c3, c2, c1, 0, 0, 0, 0, 0, 0}, + {0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0, 0}, + {0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1, 0}, + {0, 0, 0, 0, 0, c6, 0, 0, c5, c4, 0, 0, c3, c2, c1}, + {0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0, 0}, + {0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1, 0}, + {0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0, 0}, + {0, 0, a6, 0, a5, a4, 0, a3, a2, a1, 0, 0, 0, 0, 0}, + {0, 0, 0, 0, 0, a6, 0, 0, a5, a4, 0, 0, a3, a2, a1}, + {0, 0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1}, + {0, 0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0}, + {0, b6, 0, b5, b4, 0, b3, b2, b1, 0, 0, 0, 0, 0, 0}, + {0, 0, 0, 0, b6, 0, 0, b5, b4, 0, 0, b3, b2, b1, 0}}; return d3.determinant(); } diff --git a/doc/tutorial/ginac.texi b/doc/tutorial/ginac.texi index 7f6c9535..0d86eeee 100644 --- a/doc/tutorial/ginac.texi +++ b/doc/tutorial/ginac.texi @@ -1940,9 +1940,17 @@ matrix::matrix(unsigned r, unsigned c); creates a matrix with @samp{r} rows and @samp{c} columns with all elements set to zero. -The fastest way to create a matrix with preinitialized elements is to assign -a list of comma-separated expressions to an empty matrix (see below for an -example). But you can also specify the elements as a (flat) list with +The easiest way to create a matrix is using an initializer list of +initializer lists, all of the same size: + +@example +@{ + matrix m = @{@{1, -a@}, + @{a, 1@}@}; +@} +@end example + +You can also specify the elements as a (flat) list with @example matrix::matrix(unsigned r, unsigned c, const lst & l); @@ -1965,6 +1973,7 @@ matrices: @cindex @code{symbolic_matrix()} @example ex diag_matrix(const lst & l); +ex diag_matrix(initializer_list l); ex unit_matrix(unsigned x); ex unit_matrix(unsigned r, unsigned c); ex symbolic_matrix(unsigned r, unsigned c, const string & base_name); @@ -1972,7 +1981,7 @@ ex symbolic_matrix(unsigned r, unsigned c, const string & base_name, const string & tex_base_name); @end example -@code{diag_matrix()} constructs a diagonal matrix given the list of diagonal +@code{diag_matrix()} constructs a square diagonal matrix given the diagonal elements. @code{unit_matrix()} creates an @samp{x} by @samp{x} (or @samp{r} by @samp{c}) unit matrix. And finally, @code{symbolic_matrix} constructs a matrix filled with newly generated symbols made of the specified base name @@ -1999,10 +2008,9 @@ that specify which row and column to remove: @example @{ - matrix m(3,3); - m = 11, 12, 13, - 21, 22, 23, - 31, 32, 33; + matrix m = @{@{11, 12, 13@}, + @{21, 22, 23@}, + @{31, 32, 33@}@}; cout << reduced_matrix(m, 1, 1) << endl; // -> [[11,13],[31,33]] cout << sub_matrix(m, 1, 2, 1, 2) << endl; @@ -2028,9 +2036,8 @@ Here are a couple of examples for constructing matrices: @{ symbol a("a"), b("b"); - matrix M(2, 2); - M = a, 0, - 0, b; + matrix M = @{@{a, 0@}, + @{0, b@}@}; cout << M << endl; // -> [[a,0],[0,b]] @@ -2082,13 +2089,12 @@ and @math{C}: @example @{ - matrix A(2, 2), B(2, 2), C(2, 2); - A = 1, 2, - 3, 4; - B = -1, 0, - 2, 1; - C = 8, 4, - 2, 1; + matrix A = @{@{ 1, 2@}, + @{ 3, 4@}@}; + matrix B = @{@{-1, 0@}, + @{ 2, 1@}@}; + matrix C = @{@{ 8, 4@}, + @{ 2, 1@}@}; matrix result = A.mul(B).sub(C.mul_scalar(2)); cout << result << endl; @@ -2928,10 +2934,9 @@ and scalar products): symbol x("x"), y("y"); // A is a 2x2 matrix, X is a 2x1 vector - matrix A(2, 2), X(2, 1); - A = 1, 2, - 3, 4; - X = x, y; + matrix A = @{@{1, 2@}, + @{3, 4@}@}; + matrix X = @{@{x, y@}@}; cout << indexed(A, i, i) << endl; // -> 5 @@ -3413,7 +3418,7 @@ The previous code may be rewritten with the help of @code{lst_to_clifford()} as ... idx i(symbol("i"), 4); realsymbol s("s"); - ex M = diag_matrix(lst@{1, -1, 0, s@}); + ex M = diag_matrix(@{1, -1, 0, s@}); ex e0 = lst_to_clifford(lst@{1, 0, 0, 0@}, i, M); ex e1 = lst_to_clifford(lst@{0, 1, 0, 0@}, i, M); ex e2 = lst_to_clifford(lst@{0, 0, 1, 0@}, i, M); diff --git a/ginac/matrix.cpp b/ginac/matrix.cpp index 2217bae8..50f46315 100644 --- a/ginac/matrix.cpp +++ b/ginac/matrix.cpp @@ -73,20 +73,6 @@ matrix::matrix(unsigned r, unsigned c) : row(r), col(c), m(r*c, _ex0) setflag(status_flags::not_shareable); } -// protected - -/** Ctor from representation, for internal use only. */ -matrix::matrix(unsigned r, unsigned c, const exvector & m2) - : row(r), col(c), m(m2) -{ - setflag(status_flags::not_shareable); -} -matrix::matrix(unsigned r, unsigned c, exvector && m2) - : row(r), col(c), m(std::move(m2)) -{ - setflag(status_flags::not_shareable); -} - /** Construct matrix from (flat) list of elements. If the list has fewer * elements than the matrix, the remaining matrix elements are set to zero. * If the list has more elements than the matrix, the excessive elements are @@ -107,6 +93,40 @@ matrix::matrix(unsigned r, unsigned c, const lst & l) } } +/** Construct a matrix from an 2 dimensional initializer list. + * Throws an exception if some row has a different length than all the others. + */ +matrix::matrix(std::initializer_list> l) + : row(l.size()), col(l.begin()->size()) +{ + setflag(status_flags::not_shareable); + + m.reserve(row*col); + for (const auto & r : l) { + unsigned c = 0; + for (const auto & e : r) { + m.push_back(e); + ++c; + } + if (c != col) + throw std::invalid_argument("matrix::matrix{{}}: wrong dimension"); + } +} + +// protected + +/** Ctor from representation, for internal use only. */ +matrix::matrix(unsigned r, unsigned c, const exvector & m2) + : row(r), col(c), m(m2) +{ + setflag(status_flags::not_shareable); +} +matrix::matrix(unsigned r, unsigned c, exvector && m2) + : row(r), col(c), m(std::move(m2)) +{ + setflag(status_flags::not_shareable); +} + ////////// // archiving ////////// @@ -1585,6 +1605,23 @@ ex diag_matrix(const lst & l) return M; } +ex diag_matrix(std::initializer_list l) +{ + size_t dim = l.size(); + + // Allocate and fill matrix + matrix &M = *new matrix(dim, dim); + M.setflag(status_flags::dynallocated); + + unsigned i = 0; + for (auto & it : l) { + M(i, i) = it; + ++i; + } + + return M; +} + ex unit_matrix(unsigned r, unsigned c) { matrix &Id = *new matrix(r, c); diff --git a/ginac/matrix.h b/ginac/matrix.h index 6081e900..988e257b 100644 --- a/ginac/matrix.h +++ b/ginac/matrix.h @@ -26,6 +26,7 @@ #include "basic.h" #include "ex.h" #include "archive.h" +#include "compiler.h" #include #include @@ -99,15 +100,9 @@ class matrix : public basic public: matrix(unsigned r, unsigned c); matrix(unsigned r, unsigned c, const lst & l); + matrix(std::initializer_list> l); - // First step of initialization of matrix with a comma-separated sequence - // of expressions. Subsequent steps are handled by matrix_init<>::operator,(). - matrix_init operator=(const ex & x) - { - m[0] = x; - return matrix_init(++m.begin()); - } - + matrix_init operator=(const ex & x) deprecated; protected: matrix(unsigned r, unsigned c, const exvector & m2); matrix(unsigned r, unsigned c, exvector && m2); @@ -179,6 +174,13 @@ protected: }; GINAC_DECLARE_UNARCHIVER(matrix); +// First step of initialization of matrix with a comma-separated sequence +// of expressions. Subsequent steps are handled by matrix_init<>::operator,(). +inline matrix_init matrix::operator=(const ex & x) +{ + m[0] = x; + return matrix_init(++m.begin()); +} // wrapper functions around member functions @@ -225,6 +227,7 @@ extern ex lst_to_matrix(const lst & l); /** Convert list of diagonal elements to matrix. */ extern ex diag_matrix(const lst & l); +extern ex diag_matrix(std::initializer_list l); /** Create an r times c unit matrix. */ extern ex unit_matrix(unsigned r, unsigned c);