X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fcolor.cpp;h=3f45bba5acaaa4bf9983245f650442f46091e3a2;hp=dd8ee18dc3606861efb2c886ef93a91599a9f916;hb=ba0b56c5ac76274c5d748eaa29fbd83cb1d4fb9e;hpb=cfea748404dec5fb2f2e3310d36eeb6640f13824 diff --git a/ginac/color.cpp b/ginac/color.cpp index dd8ee18d..3f45bba5 100644 --- a/ginac/color.cpp +++ b/ginac/color.cpp @@ -3,7 +3,7 @@ * Implementation of GiNaC's color (SU(3) Lie algebra) objects. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2004 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 @@ -20,31 +20,43 @@ * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ -#include +#include #include #include "color.h" #include "idx.h" #include "ncmul.h" #include "symmetry.h" +#include "operators.h" #include "numeric.h" #include "mul.h" #include "power.h" // for sqrt() #include "symbol.h" -#include "print.h" #include "archive.h" #include "utils.h" namespace GiNaC { GINAC_IMPLEMENT_REGISTERED_CLASS(color, indexed) -GINAC_IMPLEMENT_REGISTERED_CLASS(su3one, tensor) -GINAC_IMPLEMENT_REGISTERED_CLASS(su3t, tensor) -GINAC_IMPLEMENT_REGISTERED_CLASS(su3f, tensor) -GINAC_IMPLEMENT_REGISTERED_CLASS(su3d, tensor) + +GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3one, tensor, + print_func(&su3one::do_print). + print_func(&su3one::do_print_latex)) + +GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3t, tensor, + print_func(&su3t::do_print). + print_func(&su3t::do_print)) + +GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3f, tensor, + print_func(&su3f::do_print). + print_func(&su3f::do_print)) + +GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(su3d, tensor, + print_func(&su3d::do_print). + print_func(&su3d::do_print)) ////////// -// default ctor, dtor, copy ctor, assignment operator and helpers +// default constructors ////////// color::color() : representation_label(0) @@ -52,17 +64,10 @@ color::color() : representation_label(0) tinfo_key = TINFO_color; } -void color::copy(const color & other) -{ - inherited::copy(other); - representation_label = other.representation_label; -} - -DEFAULT_DESTROY(color) -DEFAULT_CTORS(su3one) -DEFAULT_CTORS(su3t) -DEFAULT_CTORS(su3f) -DEFAULT_CTORS(su3d) +DEFAULT_CTOR(su3one) +DEFAULT_CTOR(su3t) +DEFAULT_CTOR(su3f) +DEFAULT_CTOR(su3d) ////////// // other constructors @@ -84,12 +89,12 @@ 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(sy_none(), v, discardable), representation_label(rl) +color::color(unsigned char rl, const exvector & v, bool discardable) : inherited(not_symmetric(), v, discardable), representation_label(rl) { tinfo_key = TINFO_color; } -color::color(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), representation_label(rl) +color::color(unsigned char rl, std::auto_ptr vp) : inherited(not_symmetric(), vp), representation_label(rl) { tinfo_key = TINFO_color; } @@ -98,7 +103,7 @@ color::color(unsigned char rl, exvector * vp) : inherited(sy_none(), vp), repres // archiving ////////// -color::color(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst) +color::color(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst) { unsigned rl; n.find_unsigned("label", rl); @@ -154,7 +159,7 @@ DEFAULT_PRINT(su3d, "d") /** Perform automatic simplification on noncommutative product of color * objects. This removes superfluous ONEs. */ -ex color::simplify_ncmul(const exvector & v) const +ex color::eval_ncmul(const exvector & v) const { exvector s; s.reserve(v.size()); @@ -162,7 +167,7 @@ ex color::simplify_ncmul(const exvector & v) const // Remove superfluous ONEs exvector::const_iterator it = v.begin(), itend = v.end(); while (it != itend) { - if (!is_ex_of_type(it->op(0), su3one)) + if (!is_a(it->op(0))) s.push_back(*it); it++; } @@ -170,15 +175,15 @@ ex color::simplify_ncmul(const exvector & v) const if (s.empty()) return color(su3one(), representation_label); else - return simplified_ncmul(s); + return hold_ncmul(s); } -ex color::thisexprseq(const exvector & v) const +ex color::thiscontainer(const exvector & v) const { return color(representation_label, v); } -ex color::thisexprseq(exvector * vp) const +ex color::thiscontainer(std::auto_ptr vp) const { return color(representation_label, vp); } @@ -306,7 +311,12 @@ bool su3t::contract_with(exvector::iterator self, exvector::iterator other, exve GINAC_ASSERT(is_a(self->op(0))); unsigned char rl = ex_to(*self).get_representation_label(); - if (is_ex_exactly_of_type(other->op(0), su3t)) { + if (is_exactly_a(other->op(0))) { + + // Contraction only makes sense if the represenation labels are equal + GINAC_ASSERT(is_a(*other)); + if (ex_to(*other).get_representation_label() != rl) + return false; // T.a T.a = 4/3 ONE if (other - self == 1) { @@ -316,7 +326,7 @@ bool su3t::contract_with(exvector::iterator self, exvector::iterator other, exve // T.a T.b T.a = -1/6 T.b } else if (other - self == 2 - && is_ex_of_type(self[1], color)) { + && is_a(self[1])) { *self = numeric(-1, 6); *other = _ex1; return true; @@ -325,7 +335,7 @@ bool su3t::contract_with(exvector::iterator self, exvector::iterator other, exve } else { exvector::iterator it = self + 1; while (it != other) { - if (!is_ex_of_type(*it, color)) { + if (!is_a(*it)) { return false; } it++; @@ -355,7 +365,7 @@ bool su3d::contract_with(exvector::iterator self, exvector::iterator other, exve GINAC_ASSERT(self->nops() == 4); GINAC_ASSERT(is_a(self->op(0))); - if (is_ex_exactly_of_type(other->op(0), su3d)) { + if (is_exactly_a(other->op(0))) { // Find the dummy indices of the contraction exvector self_indices = ex_to(*self).get_indices(); @@ -383,11 +393,11 @@ bool su3d::contract_with(exvector::iterator self, exvector::iterator other, exve return true; } - } else if (is_ex_exactly_of_type(other->op(0), su3t)) { + } else if (is_exactly_a(other->op(0))) { // 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) + && is_exactly_a(other[1].op(0)) && ex_to(*self).has_dummy_index_for(other[1].op(1))) { exvector self_indices = ex_to(*self).get_indices(); @@ -414,7 +424,7 @@ bool su3f::contract_with(exvector::iterator self, exvector::iterator other, exve GINAC_ASSERT(self->nops() == 4); GINAC_ASSERT(is_a(self->op(0))); - if (is_ex_exactly_of_type(other->op(0), su3f)) { // f*d is handled by su3d class + if (is_exactly_a(other->op(0))) { // f*d is handled by su3d class // Find the dummy indices of the contraction exvector dummy_indices; @@ -436,11 +446,11 @@ bool su3f::contract_with(exvector::iterator self, exvector::iterator other, exve return true; } - } else if (is_ex_exactly_of_type(other->op(0), su3t)) { + } else if (is_exactly_a(other->op(0))) { // 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) + && is_exactly_a(other[1].op(0)) && ex_to(*self).has_dummy_index_for(other[1].op(1))) { exvector self_indices = ex_to(*self).get_indices(); @@ -465,37 +475,44 @@ bool su3f::contract_with(exvector::iterator self, exvector::iterator other, exve ex color_ONE(unsigned char rl) { - return color(su3one(), rl); + static ex ONE = (new su3one)->setflag(status_flags::dynallocated); + return color(ONE, rl); } ex color_T(const ex & a, unsigned char rl) { - if (!is_ex_of_type(a, idx)) + static ex t = (new su3t)->setflag(status_flags::dynallocated); + + if (!is_a(a)) throw(std::invalid_argument("indices of color_T must be of type idx")); 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); + return color(t, a, rl); } 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)) + static ex f = (new su3f)->setflag(status_flags::dynallocated); + + if (!is_a(a) || !is_a(b) || !is_a(c)) throw(std::invalid_argument("indices of color_f must be of type idx")); 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(), sy_anti(), a, b, c); + return indexed(f, antisymmetric3(), 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)) + static ex d = (new su3d)->setflag(status_flags::dynallocated); + + if (!is_a(a) || !is_a(b) || !is_a(c)) throw(std::invalid_argument("indices of color_d must be of type idx")); 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(), sy_symm(), a, b, c); + return indexed(d, symmetric3(), a, b, c); } ex color_h(const ex & a, const ex & b, const ex & c) @@ -510,40 +527,63 @@ static bool is_color_tinfo(unsigned ti, unsigned char rl) return ti == (TINFO_color + rl); } -ex color_trace(const ex & e, unsigned char rl) +/** Check whether a given tinfo key (as returned by return_type_tinfo() + * is that of a color object (with an arbitrary representation label). */ +static bool is_color_tinfo(unsigned ti) { - if (is_ex_of_type(e, color)) { + return (ti & ~0xff) == TINFO_color; +} + +/** Extract representation label from tinfo key (as returned by + * return_type_tinfo()). */ +static unsigned char get_representation_label(unsigned ti) +{ + return ti & 0xff; +} - if (ex_to(e).get_representation_label() == rl - && is_ex_of_type(e.op(0), su3one)) +ex color_trace(const ex & e, const std::set & rls) +{ + if (is_a(e)) { + + unsigned char rl = ex_to(e).get_representation_label(); + + // Are we taking the trace over this object's representation label? + if (rls.find(rl) == rls.end()) + return e; + + // Yes, all generators are traceless, except for color_ONE + if (is_a(e.op(0))) return _ex3; else return _ex0; - } else if (is_ex_exactly_of_type(e, mul)) { + } else if (is_exactly_a(e)) { // Trace of product: pull out non-color factors ex prod = _ex1; - for (unsigned i=0; i(e)) { - if (!is_color_tinfo(e.return_type_tinfo(), rl)) - return _ex0; + unsigned char rl = get_representation_label(e.return_type_tinfo()); + + // Are we taking the trace over this string's representation label? + if (rls.find(rl) == rls.end()) + return e; - // Expand product, if necessary + // Yes, expand product if necessary ex e_expanded = e.expand(); - if (!is_ex_of_type(e_expanded, ncmul)) - return color_trace(e_expanded, rl); + if (!is_a(e_expanded)) + return color_trace(e_expanded, rls); - unsigned num = e.nops(); + size_t num = e.nops(); if (num == 2) { @@ -567,7 +607,7 @@ ex color_trace(const ex & e, unsigned char rl) exvector v1; v1.reserve(num - 2); - 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); + pointer_to_map_function_1arg &> fcn(color_trace, rls); return e.map(fcn); } else return _ex0; } +ex color_trace(const ex & e, const lst & rll) +{ + // Convert list to set + std::set rls; + for (lst::const_iterator i = rll.begin(); i != rll.end(); ++i) { + if (i->info(info_flags::nonnegint)) + rls.insert(ex_to(*i).to_int()); + } + + return color_trace(e, rls); +} + +ex color_trace(const ex & e, unsigned char rl) +{ + // Convert label to set + std::set rls; + rls.insert(rl); + + return color_trace(e, rls); +} + } // namespace GiNaC