X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fsymmetry.cpp;h=23f9df903b98bd1d12a4f60532e6809b69d5ac23;hp=1b818191a64115849189bb8eda2de59f1de0406b;hb=511764215de1756329e88c2628a4fd36e8277195;hpb=aa6281216091efd92dc5fcc3f96c7189114e80f1 diff --git a/ginac/symmetry.cpp b/ginac/symmetry.cpp index 1b818191..23f9df90 100644 --- a/ginac/symmetry.cpp +++ b/ginac/symmetry.cpp @@ -3,7 +3,7 @@ * Implementation of GiNaC's symmetry definitions. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2010 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 @@ -17,61 +17,65 @@ * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software - * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA + * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ -#include -#include -#include - #include "symmetry.h" #include "lst.h" #include "numeric.h" // for factorial() -#include "print.h" +#include "operators.h" #include "archive.h" #include "utils.h" -#include "debugmsg.h" +#include "hash_seed.h" + +#include +#include +#include +#include namespace GiNaC { -GINAC_IMPLEMENT_REGISTERED_CLASS(symmetry, basic) +GINAC_IMPLEMENT_REGISTERED_CLASS_OPT(symmetry, basic, + print_func(&symmetry::do_print). + print_func(&symmetry::do_print_tree)) + +/* + Some notes about the structure of a symmetry tree: + - The leaf nodes of the tree are of type "none", have one index, and no + children (of course). They are constructed by the symmetry(unsigned) + constructor. + - Leaf nodes are the only nodes that only have one index. + - Container nodes contain two or more children. The "indices" set member + is the set union of the index sets of all children, and the "children" + vector stores the children themselves. + - The index set of each child of a "symm", "anti" or "cycl" node must + have the same size. It follows that the children of such a node are + either all leaf nodes, or all container nodes with two or more indices. +*/ ////////// -// default constructor, destructor, copy constructor assignment operator and helpers +// default constructor ////////// -symmetry::symmetry() : type(none) -{ - debugmsg("symmetry default constructor", LOGLEVEL_CONSTRUCT); - tinfo_key = TINFO_symmetry; -} - -void symmetry::copy(const symmetry & other) +symmetry::symmetry() : type(none) { - inherited::copy(other); - type = other.type; - indices = other.indices; - children = other.children; + setflag(status_flags::evaluated | status_flags::expanded); } -DEFAULT_DESTROY(symmetry) - ////////// // other constructors ////////// -symmetry::symmetry(unsigned i) : type(none) +symmetry::symmetry(unsigned i) : type(none) { - debugmsg("symmetry constructor from unsigned", LOGLEVEL_CONSTRUCT); indices.insert(i); - tinfo_key = TINFO_symmetry; + setflag(status_flags::evaluated | status_flags::expanded); } -symmetry::symmetry(symmetry_type t, const symmetry &c1, const symmetry &c2) : type(t) +symmetry::symmetry(symmetry_type t, const symmetry &c1, const symmetry &c2) : type(t) { - debugmsg("symmetry constructor from symmetry_type,symmetry &,symmetry &", LOGLEVEL_CONSTRUCT); add(c1); add(c2); - tinfo_key = TINFO_symmetry; + setflag(status_flags::evaluated | status_flags::expanded); } ////////// @@ -79,10 +83,9 @@ symmetry::symmetry(symmetry_type t, const symmetry &c1, const symmetry &c2) : ty ////////// /** Construct object from archive_node. */ -symmetry::symmetry(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst) +void symmetry::read_archive(const archive_node &n, lst &sym_lst) { - debugmsg("symmetry ctor from archive_node", LOGLEVEL_CONSTRUCT); - + inherited::read_archive(n, sym_lst); unsigned t; if (!(n.find_unsigned("type", t))) throw (std::runtime_error("unknown symmetry type in archive")); @@ -109,6 +112,7 @@ symmetry::symmetry(const archive_node &n, const lst &sym_lst) : inherited(n, sym } } } +GINAC_BIND_UNARCHIVER(symmetry); /** Archive the object. */ void symmetry::archive(archive_node &n) const @@ -132,25 +136,80 @@ void symmetry::archive(archive_node &n) const } } -DEFAULT_UNARCHIVE(symmetry) - ////////// // functions overriding virtual functions from base classes ////////// int symmetry::compare_same_type(const basic & other) const { - GINAC_ASSERT(is_of_type(other, symmetry)); + GINAC_ASSERT(is_a(other)); + + // For archiving purposes we need to have an ordering of symmetries. + const symmetry &othersymm = ex_to(other); + + // Compare type. + if (type > othersymm.type) + return 1; + if (type < othersymm.type) + return -1; + + // Compare the index set. + size_t this_size = indices.size(); + size_t that_size = othersymm.indices.size(); + if (this_size > that_size) + return 1; + if (this_size < that_size) + return -1; + typedef std::set::iterator set_it; + set_it end = indices.end(); + for (set_it i=indices.begin(),j=othersymm.indices.begin(); i!=end; ++i,++j) { + if(*i < *j) + return 1; + if(*i > *j) + return -1; + } + + // Compare the children. + if (children.size() > othersymm.children.size()) + return 1; + if (children.size() < othersymm.children.size()) + return -1; + for (size_t i=0; i(children[i]) + .compare_same_type(ex_to(othersymm.children[i])); + if (cmpval) + return cmpval; + } - // All symmetry trees are equal. They are not supposed to appear in - // ordinary expressions anyway... return 0; } -void symmetry::print(const print_context & c, unsigned level = 0) const +unsigned symmetry::calchash() const { - debugmsg("symmetry print", LOGLEVEL_PRINT); + unsigned v = make_hash_seed(typeid(*this)); + + if (type == none) { + v = rotate_left(v); + if (!indices.empty()) + v ^= *(indices.begin()); + } else { + for (exvector::const_iterator i=children.begin(); i!=children.end(); ++i) + { + v = rotate_left(v); + v ^= i->gethash(); + } + } + + if (flags & status_flags::evaluated) { + setflag(status_flags::hash_calculated); + hashvalue = v; + } + return v; +} + +void symmetry::do_print(const print_context & c, unsigned level) const +{ if (children.empty()) { if (indices.size() > 0) c.s << *(indices.begin()); @@ -165,8 +224,8 @@ void symmetry::print(const print_context & c, unsigned level = 0) const default: c.s << '?'; break; } c.s << '('; - unsigned num = children.size(); - for (unsigned i=0; i"; break; + } + + c.s << ", indices=("; + if (!indices.empty()) { + std::set::const_iterator i = indices.begin(), end = indices.end(); + --end; + while (i != end) + c.s << *i++ << ","; + c.s << *i; + } + c.s << ")\n"; + + exvector::const_iterator i = children.begin(), end = children.end(); + while (i != end) { + i->print(c, level + c.delta_indent); + ++i; + } +} + ////////// // non-virtual functions in this class ////////// +bool symmetry::has_cyclic() const +{ + if (type == cyclic) + return true; + + for (exvector::const_iterator i=children.begin(); i!=children.end(); ++i) + if (ex_to(*i).has_cyclic()) + return true; + + return false; +} + symmetry &symmetry::add(const symmetry &c) { // All children must have the same number of indices if (type != none && !children.empty()) { - GINAC_ASSERT(is_ex_exactly_of_type(children[0], symmetry)); + GINAC_ASSERT(is_exactly_a(children[0])); if (ex_to(children[0]).indices.size() != c.indices.size()) throw (std::logic_error("symmetry:add(): children must have same number of indices")); } @@ -216,6 +318,72 @@ void symmetry::validate(unsigned n) // global functions ////////// +static const symmetry & index0() +{ + static ex s = (new symmetry(0))->setflag(status_flags::dynallocated); + return ex_to(s); +} + +static const symmetry & index1() +{ + static ex s = (new symmetry(1))->setflag(status_flags::dynallocated); + return ex_to(s); +} + +static const symmetry & index2() +{ + static ex s = (new symmetry(2))->setflag(status_flags::dynallocated); + return ex_to(s); +} + +static const symmetry & index3() +{ + static ex s = (new symmetry(3))->setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & not_symmetric() +{ + static ex s = (new symmetry)->setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & symmetric2() +{ + static ex s = (new symmetry(symmetry::symmetric, index0(), index1()))->setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & symmetric3() +{ + static ex s = (new symmetry(symmetry::symmetric, index0(), index1()))->add(index2()).setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & symmetric4() +{ + static ex s = (new symmetry(symmetry::symmetric, index0(), index1()))->add(index2()).add(index3()).setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & antisymmetric2() +{ + static ex s = (new symmetry(symmetry::antisymmetric, index0(), index1()))->setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & antisymmetric3() +{ + static ex s = (new symmetry(symmetry::antisymmetric, index0(), index1()))->add(index2()).setflag(status_flags::dynallocated); + return ex_to(s); +} + +const symmetry & antisymmetric4() +{ + static ex s = (new symmetry(symmetry::antisymmetric, index0(), index1()))->add(index2()).add(index3()).setflag(status_flags::dynallocated); + return ex_to(s); +} + class sy_is_less : public std::binary_function { exvector::iterator v; @@ -224,8 +392,8 @@ public: bool operator() (const ex &lh, const ex &rh) const { - GINAC_ASSERT(is_ex_exactly_of_type(lh, symmetry)); - GINAC_ASSERT(is_ex_exactly_of_type(rh, symmetry)); + GINAC_ASSERT(is_exactly_a(lh)); + GINAC_ASSERT(is_exactly_a(rh)); GINAC_ASSERT(ex_to(lh).indices.size() == ex_to(rh).indices.size()); std::set::const_iterator ait = ex_to(lh).indices.begin(), aitend = ex_to(lh).indices.end(), bit = ex_to(rh).indices.begin(); while (ait != aitend) { @@ -250,8 +418,8 @@ public: void operator() (const ex &lh, const ex &rh) { - GINAC_ASSERT(is_ex_exactly_of_type(lh, symmetry)); - GINAC_ASSERT(is_ex_exactly_of_type(rh, symmetry)); + GINAC_ASSERT(is_exactly_a(lh)); + GINAC_ASSERT(is_exactly_a(rh)); GINAC_ASSERT(ex_to(lh).indices.size() == ex_to(rh).indices.size()); std::set::const_iterator ait = ex_to(lh).indices.begin(), aitend = ex_to(lh).indices.end(), bit = ex_to(rh).indices.begin(); while (ait != aitend) { @@ -264,20 +432,20 @@ public: int canonicalize(exvector::iterator v, const symmetry &symm) { - // No children? Then do nothing - if (symm.children.empty()) - return INT_MAX; + // Less than two elements? Then do nothing + if (symm.indices.size() < 2) + return std::numeric_limits::max(); // Canonicalize children first bool something_changed = false; int sign = 1; exvector::const_iterator first = symm.children.begin(), last = symm.children.end(); while (first != last) { - GINAC_ASSERT(is_ex_exactly_of_type(*first, symmetry)); + GINAC_ASSERT(is_exactly_a(*first)); int child_sign = canonicalize(v, ex_to(*first)); if (child_sign == 0) return 0; - if (child_sign != INT_MAX) { + if (child_sign != std::numeric_limits::max()) { something_changed = true; sign *= child_sign; } @@ -294,6 +462,8 @@ int canonicalize(exvector::iterator v, const symmetry &symm) case symmetry::antisymmetric: // Sort the children in ascending order, keeping track of the signum sign *= permutation_sign(first, last, sy_is_less(v), sy_swap(v, something_changed)); + if (sign == 0) + return 0; break; case symmetry::cyclic: // Permute the smallest child to the front @@ -302,7 +472,7 @@ int canonicalize(exvector::iterator v, const symmetry &symm) default: break; } - return something_changed ? sign : INT_MAX; + return something_changed ? sign : std::numeric_limits::max(); } @@ -314,10 +484,8 @@ static ex symm(const ex & e, exvector::const_iterator first, exvector::const_ite if (num < 2) return e; - // Transform object vector to a list - exlist iv_lst; - iv_lst.insert(iv_lst.begin(), first, last); - lst orig_lst(iv_lst, true); + // Transform object vector to a lst (for subs()) + lst orig_lst(first, last); // Create index vectors for permutation unsigned *iv = new unsigned[num], *iv2; @@ -332,7 +500,7 @@ static ex symm(const ex & e, exvector::const_iterator first, exvector::const_ite lst new_lst; for (unsigned i=0; i