]> www.ginac.de Git - ginac.git/blobdiff - ginac/idx.cpp
documented symmetrize() and antisymmetrize()
[ginac.git] / ginac / idx.cpp
index 9f31a9ad8f997788f484d274ca1a07059745e76a..c72e478e305bc02398394aa7486ceafe3d1d9150 100644 (file)
@@ -21,6 +21,7 @@
  */
 
 #include <stdexcept>
+#include <algorithm>
 
 #include "idx.h"
 #include "symbol.h"
@@ -34,6 +35,7 @@ namespace GiNaC {
 
 GINAC_IMPLEMENT_REGISTERED_CLASS(idx, basic)
 GINAC_IMPLEMENT_REGISTERED_CLASS(varidx, idx)
+GINAC_IMPLEMENT_REGISTERED_CLASS(spinidx, varidx)
 
 //////////
 // default constructor, destructor, copy constructor assignment operator and helpers
@@ -50,6 +52,12 @@ varidx::varidx() : covariant(false)
        tinfo_key = TINFO_varidx;
 }
 
+spinidx::spinidx() : dotted(false)
+{
+       debugmsg("spinidx default constructor", LOGLEVEL_CONSTRUCT);
+       tinfo_key = TINFO_spinidx;
+}
+
 void idx::copy(const idx & other)
 {
        inherited::copy(other);
@@ -63,8 +71,15 @@ void varidx::copy(const varidx & other)
        covariant = other.covariant;
 }
 
+void spinidx::copy(const spinidx & other)
+{
+       inherited::copy(other);
+       dotted = other.dotted;
+}
+
 DEFAULT_DESTROY(idx)
 DEFAULT_DESTROY(varidx)
+DEFAULT_DESTROY(spinidx)
 
 //////////
 // other constructors
@@ -84,6 +99,12 @@ varidx::varidx(const ex & v, const ex & d, bool cov) : inherited(v, d), covarian
        tinfo_key = TINFO_varidx;
 }
 
+spinidx::spinidx(const ex & v, const ex & d, bool cov, bool dot) : inherited(v, d, cov), dotted(dot)
+{
+       debugmsg("spinidx constructor from ex,ex,bool,bool", LOGLEVEL_CONSTRUCT);
+       tinfo_key = TINFO_spinidx;
+}
+
 //////////
 // archiving
 //////////
@@ -101,6 +122,12 @@ varidx::varidx(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst
        n.find_bool("covariant", covariant);
 }
 
+spinidx::spinidx(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+{
+       debugmsg("spinidx constructor from archive_node", LOGLEVEL_CONSTRUCT);
+       n.find_bool("dotted", dotted);
+}
+
 void idx::archive(archive_node &n) const
 {
        inherited::archive(n);
@@ -114,8 +141,15 @@ void varidx::archive(archive_node &n) const
        n.add_bool("covariant", covariant);
 }
 
+void spinidx::archive(archive_node &n) const
+{
+       inherited::archive(n);
+       n.add_bool("dotted", dotted);
+}
+
 DEFAULT_UNARCHIVE(idx)
 DEFAULT_UNARCHIVE(varidx)
+DEFAULT_UNARCHIVE(spinidx)
 
 //////////
 // functions overriding virtual functions from bases classes
@@ -136,11 +170,12 @@ void idx::print(const print_context & c, unsigned level) const
 
        } else {
 
-               c.s << ".";
+               if (!is_of_type(c, print_latex))
+                       c.s << ".";
                bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
                if (need_parens)
                        c.s << "(";
-               c.s << value;
+               value.print(c);
                if (need_parens)
                        c.s << ")";
        }
@@ -162,16 +197,59 @@ void varidx::print(const print_context & c, unsigned level) const
 
        } else {
 
-               if (covariant)
-                       c.s << ".";
-               else
-                       c.s << "~";
+               if (!is_of_type(c, print_latex)) {
+                       if (covariant)
+                               c.s << ".";
+                       else
+                               c.s << "~";
+               }
+               bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
+               if (need_parens)
+                       c.s << "(";
+               value.print(c);
+               if (need_parens)
+                       c.s << ")";
+       }
+}
+
+void spinidx::print(const print_context & c, unsigned level) const
+{
+       debugmsg("spinidx print", LOGLEVEL_PRINT);
+
+       if (is_of_type(c, print_tree)) {
+
+               c.s << std::string(level, ' ') << class_name()
+                   << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+                   << (covariant ? ", covariant" : ", contravariant")
+                   << (dotted ? ", dotted" : ", undotted")
+                   << std::endl;
+               unsigned delta_indent = static_cast<const print_tree &>(c).delta_indent;
+               value.print(c, level + delta_indent);
+               dim.print(c, level + delta_indent);
+
+       } else {
+
+               bool is_tex = is_of_type(c, print_latex);
+               if (!is_tex) {
+                       if (covariant)
+                               c.s << ".";
+                       else
+                               c.s << "~";
+               }
+               if (dotted) {
+                       if (is_tex)
+                               c.s << "\\dot{";
+                       else
+                               c.s << "*";
+               }
                bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
                if (need_parens)
                        c.s << "(";
-               c.s << value;
+               value.print(c);
                if (need_parens)
                        c.s << ")";
+               if (is_tex && dotted)
+                       c.s << "}";
        }
 }
 
@@ -222,7 +300,53 @@ int varidx::compare_same_type(const basic & other) const
        return 0;
 }
 
-ex idx::subs(const lst & ls, const lst & lr) const
+int spinidx::compare_same_type(const basic & other) const
+{
+       GINAC_ASSERT(is_of_type(other, spinidx));
+       const spinidx &o = static_cast<const spinidx &>(other);
+
+       // Check dottedness first so dummy indices will end up next to each other
+       if (dotted != o.dotted)
+               return dotted ? -1 : 1;
+
+       int cmpval = inherited::compare_same_type(other);
+       if (cmpval)
+               return cmpval;
+
+       return 0;
+}
+
+bool idx::match(const ex & pattern, lst & repl_lst) const
+{
+       if (!is_ex_of_type(pattern, idx))
+               return false;
+       const idx &o = ex_to_idx(pattern);
+       if (!dim.is_equal(o.dim))
+               return false;
+       return value.match(o.value, repl_lst);
+}
+
+bool varidx::match(const ex & pattern, lst & repl_lst) const
+{
+       if (!is_ex_of_type(pattern, varidx))
+               return false;
+       const varidx &o = ex_to_varidx(pattern);
+       if (covariant != o.covariant)
+               return false;
+       return inherited::match(pattern, repl_lst);
+}
+
+bool spinidx::match(const ex & pattern, lst & repl_lst) const
+{
+       if (!is_ex_of_type(pattern, spinidx))
+               return false;
+       const spinidx &o = ex_to_spinidx(pattern);
+       if (dotted != o.dotted)
+               return false;
+       return inherited::match(pattern, repl_lst);
+}
+
+ex idx::subs(const lst & ls, const lst & lr, bool no_pattern) const
 {
        GINAC_ASSERT(ls.nops() == lr.nops());
 
@@ -243,7 +367,7 @@ ex idx::subs(const lst & ls, const lst & lr) const
        }
 
        // None, substitute objects in value (not in dimension)
-       const ex &subsed_value = value.subs(ls, lr);
+       const ex &subsed_value = value.subs(ls, lr, no_pattern);
        if (are_ex_trivially_equal(value, subsed_value))
                return *this;
 
@@ -284,6 +408,18 @@ bool varidx::is_dummy_pair_same_type(const basic & other) const
        return inherited::is_dummy_pair_same_type(other);
 }
 
+bool spinidx::is_dummy_pair_same_type(const basic & other) const
+{
+       const spinidx &o = static_cast<const spinidx &>(other);
+
+       // Dottedness must be the same
+       if (dotted != o.dotted)
+               return false;
+
+       return inherited::is_dummy_pair_same_type(other);
+}
+
+
 //////////
 // non-virtual functions
 //////////
@@ -296,6 +432,23 @@ ex varidx::toggle_variance(void) const
        return i_copy->setflag(status_flags::dynallocated);
 }
 
+ex spinidx::toggle_dot(void) const
+{
+       spinidx *i_copy = static_cast<spinidx *>(duplicate());
+       i_copy->dotted = !i_copy->dotted;
+       i_copy->clearflag(status_flags::hash_calculated);
+       return i_copy->setflag(status_flags::dynallocated);
+}
+
+ex spinidx::toggle_variance_dot(void) const
+{
+       spinidx *i_copy = static_cast<spinidx *>(duplicate());
+       i_copy->covariant = !i_copy->covariant;
+       i_copy->dotted = !i_copy->dotted;
+       i_copy->clearflag(status_flags::hash_calculated);
+       return i_copy->setflag(status_flags::dynallocated);
+}
+
 //////////
 // global functions
 //////////
@@ -319,29 +472,6 @@ bool is_dummy_pair(const ex & e1, const ex & e2)
        return is_dummy_pair(ex_to_idx(e1), ex_to_idx(e2));
 }
 
-/** Bring a vector of indices into a canonic order. Dummy indices will lie
- *  next to each other after the sorting. */
-static void sort_index_vector(exvector &v)
-{
-       // Nothing to sort if less than 2 elements
-       if (v.size() < 2)
-               return;
-
-       // Simple bubble sort algorithm should be sufficient for the small
-       // number of indices expected
-       exvector::iterator it1 = v.begin(), itend = v.end(), next_to_last_idx = itend - 1;
-       while (it1 != next_to_last_idx) {
-               exvector::iterator it2 = it1 + 1;
-               while (it2 != itend) {
-                       if (it1->compare(*it2) > 0)
-                               it1->swap(*it2);
-                       it2++;
-               }
-               it1++;
-       }
-}
-
-
 void find_free_and_dummy(exvector::const_iterator it, exvector::const_iterator itend, exvector & out_free, exvector & out_dummy)
 {
        out_free.clear();
@@ -361,7 +491,7 @@ void find_free_and_dummy(exvector::const_iterator it, exvector::const_iterator i
        // Sort index vector. This will cause dummy indices come to lie next
        // to each other (because the sort order is defined to guarantee this).
        exvector v(it, itend);
-       sort_index_vector(v);
+       shaker_sort(v.begin(), v.end(), ex_is_less());
 
        // Find dummy pairs and free indices
        it = v.begin(); itend = v.end();
@@ -382,27 +512,4 @@ void find_free_and_dummy(exvector::const_iterator it, exvector::const_iterator i
                out_free.push_back(*last);
 }
 
-exvector index_set_difference(const exvector & set1, const exvector & set2)
-{
-       exvector ret;
-
-       exvector::const_iterator ait = set1.begin(), aitend = set1.end();
-       while (ait != aitend) {
-               exvector::const_iterator bit = set2.begin(), bitend = set2.end();
-               bool found = false;
-               while (bit != bitend) {
-                       if (ait->is_equal(*bit)) {
-                               found = true;
-                               break;
-                       }
-                       bit++;
-               }
-               if (!found)
-                       ret.push_back(*ait);
-               ait++;
-       }
-
-       return ret;
-}
-
 } // namespace GiNaC