X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fcolor.cpp;h=45521b7aa9ec13dd8683ff479fc82c37ad139879;hp=9e719ec051cecbb914e3e1b59138f8e4cd8286c4;hb=05c47b615d0d309d4868c688cd26f68376fa4277;hpb=6c9a7dfd6b92368b21a2fe5aaf3638bc849099ba diff --git a/ginac/color.cpp b/ginac/color.cpp index 9e719ec0..45521b7a 100644 --- a/ginac/color.cpp +++ b/ginac/color.cpp @@ -24,9 +24,9 @@ #include #include "color.h" -#include "ex.h" #include "idx.h" #include "ncmul.h" +#include "symmetry.h" #include "numeric.h" #include "power.h" // for sqrt() #include "symbol.h" @@ -87,13 +87,13 @@ color::color(const ex & b, const ex & i1, unsigned char rl) : inherited(b, i1), tinfo_key = TINFO_color; } -color::color(unsigned char rl, const exvector & v, bool discardable) : inherited(indexed::unknown, v, discardable), representation_label(rl) +color::color(unsigned char rl, const exvector & v, bool discardable) : inherited(sy_none(), v, discardable), representation_label(rl) { debugmsg("color constructor from unsigned char,exvector", LOGLEVEL_CONSTRUCT); tinfo_key = TINFO_color; } -color::color(unsigned char rl, exvector * vp) : inherited(indexed::unknown, vp), representation_label(rl) +color::color(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), representation_label(rl) { debugmsg("color constructor from unsigned char,exvector *", LOGLEVEL_CONSTRUCT); tinfo_key = TINFO_color; @@ -156,7 +156,6 @@ ex color::simplify_ncmul(const exvector & v) const { exvector s; s.reserve(v.size()); - unsigned rl = ex_to_color(v[0]).get_representation_label(); // Remove superfluous ONEs exvector::const_iterator it = v.begin(), itend = v.end(); @@ -167,7 +166,7 @@ ex color::simplify_ncmul(const exvector & v) const } if (s.size() == 0) - return color(su3one(), rl); + return color(su3one(), representation_label); else return simplified_ncmul(s); } @@ -230,7 +229,7 @@ ex su3d::eval_indexed(const basic & i) const // Sort indices int v[3]; for (unsigned j=0; j<3; j++) - v[j] = ex_to_numeric(ex_to_idx(i.op(j + 1)).get_value()).to_int(); + v[j] = ex_to(ex_to(i.op(j + 1)).get_value()).to_int(); if (v[0] > v[1]) std::swap(v[0], v[1]); if (v[0] > v[2]) std::swap(v[0], v[2]); if (v[1] > v[2]) std::swap(v[1], v[2]); @@ -271,7 +270,7 @@ ex su3f::eval_indexed(const basic & i) const // Sort indices, remember permutation sign int v[3]; for (unsigned j=0; j<3; j++) - v[j] = ex_to_numeric(ex_to_idx(i.op(j + 1)).get_value()).to_int(); + v[j] = ex_to(ex_to(i.op(j + 1)).get_value()).to_int(); int sign = 1; if (v[0] > v[1]) { std::swap(v[0], v[1]); sign = -sign; } if (v[0] > v[2]) { std::swap(v[0], v[2]); sign = -sign; } @@ -303,7 +302,7 @@ bool su3t::contract_with(exvector::iterator self, exvector::iterator other, exve GINAC_ASSERT(is_ex_of_type(*other, indexed)); GINAC_ASSERT(self->nops() == 2); GINAC_ASSERT(is_ex_of_type(self->op(0), su3t)); - unsigned char rl = ex_to_color(*self).get_representation_label(); + unsigned char rl = ex_to(*self).get_representation_label(); if (is_ex_exactly_of_type(other->op(0), su3t)) { @@ -357,25 +356,49 @@ bool su3d::contract_with(exvector::iterator self, exvector::iterator other, exve if (is_ex_exactly_of_type(other->op(0), su3d)) { // Find the dummy indices of the contraction - exvector dummy_indices; - dummy_indices = ex_to_indexed(*self).get_dummy_indices(ex_to_indexed(*other)); - - // d.abc*d.abc=40/3 + exvector self_indices = ex_to(*self).get_indices(); + exvector other_indices = ex_to(*other).get_indices(); + exvector all_indices = self_indices; + all_indices.insert(all_indices.end(), other_indices.begin(), other_indices.end()); + exvector free_indices, dummy_indices; + find_free_and_dummy(all_indices, free_indices, dummy_indices); + + // d.abc d.abc = 40/3 if (dummy_indices.size() == 3) { *self = numeric(40, 3); *other = _ex1(); return true; - // d.akl*d.bkl=5/3*delta.ab + // d.akl d.bkl = 5/3 delta.ab } else if (dummy_indices.size() == 2) { - exvector a = index_set_difference(ex_to_indexed(*self).get_indices(), dummy_indices); - exvector b = index_set_difference(ex_to_indexed(*other).get_indices(), dummy_indices); - GINAC_ASSERT(a.size() > 0); - GINAC_ASSERT(b.size() > 0); - *self = numeric(5, 3) * delta_tensor(a[0], b[0]); + exvector a; + std::back_insert_iterator ita(a); + ita = set_difference(self_indices.begin(), self_indices.end(), dummy_indices.begin(), dummy_indices.end(), ita, ex_is_less()); + ita = set_difference(other_indices.begin(), other_indices.end(), dummy_indices.begin(), dummy_indices.end(), ita, ex_is_less()); + GINAC_ASSERT(a.size() == 2); + *self = numeric(5, 3) * delta_tensor(a[0], a[1]); *other = _ex1(); return true; } + + } else if (is_ex_exactly_of_type(other->op(0), su3t)) { + + // d.abc T.b T.c = 5/6 T.a + if (other+1 != v.end() + && is_ex_exactly_of_type(other[1].op(0), su3t) + && ex_to(*self).has_dummy_index_for(other[1].op(1))) { + + exvector self_indices = ex_to(*self).get_indices(); + exvector dummy_indices; + dummy_indices.push_back(other[0].op(1)); + dummy_indices.push_back(other[1].op(1)); + int sig; + ex a = permute_free_index_to_front(self_indices, dummy_indices, sig); + *self = numeric(5, 6); + other[0] = color_T(a, ex_to(other[0]).get_representation_label()); + other[1] = _ex1(); + return true; + } } return false; @@ -393,23 +416,42 @@ bool su3f::contract_with(exvector::iterator self, exvector::iterator other, exve // Find the dummy indices of the contraction exvector dummy_indices; - dummy_indices = ex_to_indexed(*self).get_dummy_indices(ex_to_indexed(*other)); + dummy_indices = ex_to(*self).get_dummy_indices(ex_to(*other)); - // f.abc*f.abc=24 + // f.abc f.abc = 24 if (dummy_indices.size() == 3) { *self = 24; *other = _ex1(); return true; - // f.akl*f.bkl=3*delta.ab + // f.akl f.bkl = 3 delta.ab } else if (dummy_indices.size() == 2) { int sign1, sign2; - ex a = permute_free_index_to_front(ex_to_indexed(*self).get_indices(), dummy_indices, sign1); - ex b = permute_free_index_to_front(ex_to_indexed(*other).get_indices(), dummy_indices, sign2); + ex a = permute_free_index_to_front(ex_to(*self).get_indices(), dummy_indices, sign1); + ex b = permute_free_index_to_front(ex_to(*other).get_indices(), dummy_indices, sign2); *self = sign1 * sign2 * 3 * delta_tensor(a, b); *other = _ex1(); return true; } + + } else if (is_ex_exactly_of_type(other->op(0), su3t)) { + + // f.abc T.b T.c = 3/2 I T.a + if (other+1 != v.end() + && is_ex_exactly_of_type(other[1].op(0), su3t) + && ex_to(*self).has_dummy_index_for(other[1].op(1))) { + + exvector self_indices = ex_to(*self).get_indices(); + exvector dummy_indices; + dummy_indices.push_back(other[0].op(1)); + dummy_indices.push_back(other[1].op(1)); + int sig; + ex a = permute_free_index_to_front(self_indices, dummy_indices, sig); + *self = numeric(3, 2) * sig * I; + other[0] = color_T(a, ex_to(other[0]).get_representation_label()); + other[1] = _ex1(); + return true; + } } return false; @@ -428,7 +470,7 @@ ex color_T(const ex & a, unsigned char rl) { if (!is_ex_of_type(a, idx)) throw(std::invalid_argument("indices of color_T must be of type idx")); - if (!ex_to_idx(a).get_dim().is_equal(8)) + if (!ex_to(a).get_dim().is_equal(8)) throw(std::invalid_argument("index dimension for color_T must be 8")); return color(su3t(), a, rl); @@ -438,20 +480,20 @@ ex color_f(const ex & a, const ex & b, const ex & c) { if (!is_ex_of_type(a, idx) || !is_ex_of_type(b, idx) || !is_ex_of_type(c, idx)) throw(std::invalid_argument("indices of color_f must be of type idx")); - if (!ex_to_idx(a).get_dim().is_equal(8) || !ex_to_idx(b).get_dim().is_equal(8) || !ex_to_idx(c).get_dim().is_equal(8)) + if (!ex_to(a).get_dim().is_equal(8) || !ex_to(b).get_dim().is_equal(8) || !ex_to(c).get_dim().is_equal(8)) throw(std::invalid_argument("index dimension for color_f must be 8")); - return indexed(su3f(), indexed::antisymmetric, a, b, c); + return indexed(su3f(), sy_anti(), a, b, c); } ex color_d(const ex & a, const ex & b, const ex & c) { if (!is_ex_of_type(a, idx) || !is_ex_of_type(b, idx) || !is_ex_of_type(c, idx)) throw(std::invalid_argument("indices of color_d must be of type idx")); - if (!ex_to_idx(a).get_dim().is_equal(8) || !ex_to_idx(b).get_dim().is_equal(8) || !ex_to_idx(c).get_dim().is_equal(8)) + if (!ex_to(a).get_dim().is_equal(8) || !ex_to(b).get_dim().is_equal(8) || !ex_to(c).get_dim().is_equal(8)) throw(std::invalid_argument("index dimension for color_d must be 8")); - return indexed(su3d(), indexed::symmetric, a, b, c); + return indexed(su3d(), sy_symm(), a, b, c); } ex color_h(const ex & a, const ex & b, const ex & c) @@ -470,20 +512,12 @@ ex color_trace(const ex & e, unsigned char rl) { if (is_ex_of_type(e, color)) { - if (ex_to_color(e).get_representation_label() == rl + if (ex_to(e).get_representation_label() == rl && is_ex_of_type(e.op(0), su3one)) return _ex3(); else return _ex0(); - } else if (is_ex_exactly_of_type(e, add)) { - - // Trace of sum = sum of traces - ex sum = _ex0(); - for (unsigned i=0; i 0) { + + // Trace maps to all other container classes (this includes sums) + pointer_to_map_function_1arg fcn(color_trace, rl); + return e.map(fcn); + + } else + return _ex0(); } } // namespace GiNaC