#include <stdexcept>
#include "idx.h"
-#include "ex.h"
+#include "symbol.h"
#include "lst.h"
-#include "relational.h"
#include "archive.h"
#include "utils.h"
#include "debugmsg.h"
-#ifndef NO_NAMESPACE_GINAC
namespace GiNaC {
-#endif // ndef NO_NAMESPACE_GINAC
GINAC_IMPLEMENT_REGISTERED_CLASS(idx, basic)
+GINAC_IMPLEMENT_REGISTERED_CLASS(varidx, idx)
//////////
// default constructor, destructor, copy constructor assignment operator and helpers
//////////
-// public
-
-idx::idx() : inherited(TINFO_idx), symbolic(true), covariant(false)
+idx::idx() : inherited(TINFO_idx)
{
- debugmsg("idx default constructor",LOGLEVEL_CONSTRUCT);
- serial=next_serial++;
- name=autoname_prefix()+ToString(serial);
+ debugmsg("idx default constructor", LOGLEVEL_CONSTRUCT);
}
-idx::~idx()
+varidx::varidx() : covariant(false)
{
- debugmsg("idx destructor",LOGLEVEL_DESTRUCT);
- destroy(false);
+ debugmsg("varidx default constructor", LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_varidx;
}
-idx::idx(const idx & other)
+void idx::copy(const idx & other)
{
- debugmsg("idx copy constructor",LOGLEVEL_CONSTRUCT);
- copy(other);
+ inherited::copy(other);
+ value = other.value;
+ dim = other.dim;
}
-const idx & idx::operator=(const idx & other)
+void varidx::copy(const varidx & other)
{
- debugmsg("idx operator=",LOGLEVEL_ASSIGNMENT);
- if (this != &other) {
- destroy(true);
- copy(other);
- }
- return *this;
+ inherited::copy(other);
+ covariant = other.covariant;
}
-// protected
-
-void idx::copy(const idx & other)
+void idx::destroy(bool call_parent)
{
- inherited::copy(other);
- serial=other.serial;
- symbolic=other.symbolic;
- name=other.name;
- value=other.value;
- covariant=other.covariant;
+ if (call_parent)
+ inherited::destroy(call_parent);
}
-void idx::destroy(bool call_parent)
+void varidx::destroy(bool call_parent)
{
- if (call_parent) inherited::destroy(call_parent);
+ if (call_parent)
+ inherited::destroy(call_parent);
}
//////////
// other constructors
//////////
-// public
-
-/** Construct symbolic index, using an automatically generated unique name.
- *
- * @param cov Index is covariant (contravariant otherwise)
- * @return newly constructed index */
-idx::idx(bool cov) : inherited(TINFO_idx), symbolic(true), covariant(cov)
-{
- debugmsg("idx constructor from bool",LOGLEVEL_CONSTRUCT);
- serial = next_serial++;
- name = autoname_prefix()+ToString(serial);
-}
-
-/** Construct symbolic index with specified name.
- *
- * @param n Symbolic index name
- * @param cov Index is covariant (contravariant otherwise)
- * @return newly constructed index */
-idx::idx(const std::string & n, bool cov) : inherited(TINFO_idx),
- symbolic(true), name(n), covariant(cov)
+idx::idx(const ex & v, const ex & d) : inherited(TINFO_idx), value(v), dim(d)
{
- debugmsg("idx constructor from string,bool",LOGLEVEL_CONSTRUCT);
- serial = next_serial++;
+ debugmsg("idx constructor from ex,ex", LOGLEVEL_CONSTRUCT);
+ if (is_dim_numeric())
+ if (!dim.info(info_flags::posint))
+ throw(std::invalid_argument("dimension of space must be a positive integer"));
}
-/** Construct symbolic index with specified name.
- *
- * @param n Symbolic index name
- * @param cov Index is covariant (contravariant otherwise)
- * @return newly constructed index */
-idx::idx(const char * n, bool cov) : inherited(TINFO_idx), symbolic(true), name(n), covariant(cov)
+varidx::varidx(const ex & v, const ex & d, bool cov) : inherited(v, d), covariant(cov)
{
- debugmsg("idx constructor from char*,bool",LOGLEVEL_CONSTRUCT);
- serial = next_serial++;
-}
-
-/** Construct numeric index with specified value.
- *
- * @param v Numeric index value
- * @param cov Index is covariant (contravariant otherwise)
- * @return newly constructed index */
-idx::idx(unsigned v, bool cov) : inherited(TINFO_idx), symbolic(false), value(v), covariant(cov)
-{
- debugmsg("idx constructor from unsigned,bool",LOGLEVEL_CONSTRUCT);
- serial = 0;
+ debugmsg("varidx constructor from ex,ex,bool", LOGLEVEL_CONSTRUCT);
+ tinfo_key = TINFO_varidx;
}
//////////
// archiving
//////////
-/** Construct object from archive_node. */
idx::idx(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
debugmsg("idx constructor from archive_node", LOGLEVEL_CONSTRUCT);
- n.find_bool("symbolic", symbolic);
+ n.find_ex("value", value, sym_lst);
+ n.find_ex("dim", dim, sym_lst);
+}
+
+varidx::varidx(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
+{
+ debugmsg("varidx constructor from archive_node", LOGLEVEL_CONSTRUCT);
n.find_bool("covariant", covariant);
- if (symbolic) {
- serial = next_serial++;
- if (!(n.find_string("name", name)))
- name = autoname_prefix() + ToString(serial);
- } else {
- serial = 0;
- n.find_unsigned("value", value);
- }
}
-/** Unarchive the object. */
ex idx::unarchive(const archive_node &n, const lst &sym_lst)
{
- ex s = (new idx(n, sym_lst))->setflag(status_flags::dynallocated);
+ return (new idx(n, sym_lst))->setflag(status_flags::dynallocated);
+}
- if (ex_to_idx(s).symbolic) {
- // If idx is in sym_lst, return the existing idx
- for (unsigned i=0; i<sym_lst.nops(); i++) {
- if (is_ex_of_type(sym_lst.op(i), idx) && (ex_to_idx(sym_lst.op(i)).name == ex_to_idx(s).name))
- return sym_lst.op(i);
- }
- }
- return s;
+ex varidx::unarchive(const archive_node &n, const lst &sym_lst)
+{
+ return (new varidx(n, sym_lst))->setflag(status_flags::dynallocated);
}
-/** Archive the object. */
void idx::archive(archive_node &n) const
{
inherited::archive(n);
- n.add_bool("symbolic", symbolic);
+ n.add_ex("value", value);
+ n.add_ex("dim", dim);
+}
+
+void varidx::archive(archive_node &n) const
+{
+ inherited::archive(n);
n.add_bool("covariant", covariant);
- if (symbolic)
- n.add_string("name", name);
- else
- n.add_unsigned("value", value);
}
//////////
// functions overriding virtual functions from bases classes
//////////
-// public
-
-basic * idx::duplicate() const
-{
- debugmsg("idx duplicate",LOGLEVEL_DUPLICATE);
- return new idx(*this);
-}
-
void idx::printraw(std::ostream & os) const
{
- debugmsg("idx printraw",LOGLEVEL_PRINT);
+ debugmsg("idx printraw", LOGLEVEL_PRINT);
- os << "idx(";
-
- if (symbolic) {
- os << "symbolic,name=" << name;
- } else {
- os << "non symbolic,value=" << value;
- }
-
- if (covariant) {
- os << ",covariant";
- } else {
- os << ",contravariant";
- }
-
- os << ",serial=" << serial;
+ os << class_name() << "(";
+ value.printraw(os);
+ os << ",dim=";
+ dim.printraw(os);
os << ",hash=" << hashvalue << ",flags=" << flags;
os << ")";
}
{
debugmsg("idx printtree",LOGLEVEL_PRINT);
- os << std::string(indent,' ') << "idx: ";
-
- if (symbolic) {
- os << "symbolic,name=" << name;
- } else {
- os << "non symbolic,value=" << value;
- }
-
- if (covariant) {
- os << ",covariant";
- } else {
- os << ",contravariant";
- }
-
- os << ", serial=" << serial
- << ", hash=" << hashvalue
+ os << std::string(indent, ' ') << "type=" << class_name();
+ value.printtree(os, indent + delta_indent);
+ os << std::string(indent, ' ');
+ os << ", hash=" << hashvalue
<< " (0x" << std::hex << hashvalue << std::dec << ")"
<< ", flags=" << flags << std::endl;
}
void idx::print(std::ostream & os, unsigned upper_precedence) const
{
- debugmsg("idx print",LOGLEVEL_PRINT);
+ debugmsg("idx print", LOGLEVEL_PRINT);
- if (covariant) {
- os << "_";
- } else {
+ os << ".";
+
+ bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
+ if (need_parens)
+ os << "(";
+ os << value;
+ if (need_parens)
+ os << ")";
+}
+
+void varidx::print(std::ostream & os, unsigned upper_precedence) const
+{
+ debugmsg("varidx print", LOGLEVEL_PRINT);
+
+ if (covariant)
+ os << ".";
+ else
os << "~";
- }
- if (symbolic) {
- os << name;
- } else {
- os << value;
- }
+
+ bool need_parens = !(is_ex_exactly_of_type(value, numeric) || is_ex_of_type(value, symbol));
+ if (need_parens)
+ os << "(";
+ os << value;
+ if (need_parens)
+ os << ")";
}
bool idx::info(unsigned inf) const
{
- if (inf==info_flags::idx) return true;
+ if (inf == info_flags::idx)
+ return true;
return inherited::info(inf);
}
-ex idx::subs(const lst & ls, const lst & lr) const
+/** Returns order relation between two indices of the same type. The order
+ * must be such that dummy indices lie next to each other. */
+int idx::compare_same_type(const basic & other) const
{
- GINAC_ASSERT(ls.nops()==lr.nops());
-#ifdef DO_GINAC_ASSERT
- for (unsigned i=0; i<ls.nops(); i++) {
- GINAC_ASSERT(is_ex_exactly_of_type(ls.op(i),symbol)||
- is_ex_of_type(ls.op(i),idx));
- }
-#endif // def DO_GINAC_ASSERT
+ GINAC_ASSERT(is_of_type(other, idx));
+ const idx &o = static_cast<const idx &>(other);
- for (unsigned i=0; i<ls.nops(); i++) {
- if (is_equal(*(ls.op(i)).bp)) {
- return lr.op(i);
- }
- }
- return *this;
+ int cmpval = value.compare(o.value);
+ if (cmpval)
+ return cmpval;
+ return dim.compare(o.dim);
}
-// protected
-
-int idx::compare_same_type(const basic & other) const
+int varidx::compare_same_type(const basic & other) const
{
- GINAC_ASSERT(is_of_type(other,idx));
- const idx &o = static_cast<const idx &>(&other);
+ GINAC_ASSERT(is_of_type(other, varidx));
+ const varidx &o = static_cast<const varidx &>(other);
- if (covariant!=o.covariant) {
- // different co/contravariant
- return covariant ? -1 : 1;
- }
+ int cmpval = inherited::compare_same_type(other);
+ if (cmpval)
+ return cmpval;
- if ((!symbolic) && (!o.symbolic)) {
- // non-symbolic, of equal type: compare values
- if (value==o.value) {
- return 0;
- }
- return value<o.value ? -1 : 1;
- }
-
- if (symbolic && o.symbolic) {
- // both symbolic: compare serials
- if (serial==o.serial) {
- return 0;
- }
- return serial<o.serial ? -1 : 1;
- }
-
- // one symbolic, one value: value is sorted first
- return o.symbolic ? -1 : 1;
+ // Check variance last so dummy indices will end up next to each other
+ if (covariant != o.covariant)
+ return covariant ? -1 : 1;
+ return 0;
}
-bool idx::is_equal_same_type(const basic & other) const
+ex idx::subs(const lst & ls, const lst & lr) const
{
- GINAC_ASSERT(is_of_type(other,idx));
- const idx &o = static_cast<const idx &>(other);
+ GINAC_ASSERT(ls.nops() == lr.nops());
- if (covariant != o.covariant) return false;
- if (symbolic != o.symbolic) return false;
- if (symbolic && o.symbolic) return serial==o.serial;
- return value==o.value;
-}
+ // First look for index substitutions
+ for (unsigned i=0; i<ls.nops(); i++) {
+ if (is_equal(*(ls.op(i)).bp)) {
-unsigned idx::calchash(void) const
-{
- hashvalue=golden_ratio_hash(golden_ratio_hash(tinfo_key ^ serial));
- setflag(status_flags::hash_calculated);
- return hashvalue;
-}
+ // Substitution index->index
+ if (is_ex_of_type(lr.op(i), idx))
+ return lr.op(i);
-//////////
-// new virtual functions which can be overridden by derived classes
-//////////
+ // Otherwise substitute value
+ idx *i_copy = static_cast<idx *>(duplicate());
+ i_copy->value = lr.op(i);
+ return i_copy->setflag(status_flags::dynallocated);
+ }
+ }
-// public
+ // None, substitute objects in value (not in dimension)
+ const ex &subsed_value = value.subs(ls, lr);
+ if (are_ex_trivially_equal(value, subsed_value))
+ return *this;
-/** Check whether the index forms a co-/contravariant pair with another
- * index (i.e. same name/value but opposite co-/contravariance). */
-bool idx::is_co_contra_pair(const basic & other) const
-{
- // like is_equal_same_type(), but tests for different covariant status
- GINAC_ASSERT(is_of_type(other,idx));
- const idx & o=static_cast<const idx &>(const_cast<basic &>(other));
-
- if (covariant==o.covariant) return false;
- if (symbolic!=o.symbolic) return false;
- if (symbolic && o.symbolic) return serial==o.serial;
- return value==o.value;
-}
-
-/** Toggle co-/contravariance of index. */
-ex idx::toggle_covariant(void) const
-{
- idx * i_copy=static_cast<idx *>(duplicate());
- i_copy->covariant = !i_copy->covariant;
- i_copy->clearflag(status_flags::hash_calculated);
+ idx *i_copy = static_cast<idx *>(duplicate());
+ i_copy->value = subsed_value;
return i_copy->setflag(status_flags::dynallocated);
}
//////////
-// non-virtual functions in this class
+// new virtual functions
//////////
-// private
-
-std::string & idx::autoname_prefix(void)
+bool idx::is_dummy_pair_same_type(const basic & other) const
{
- static std::string * s = new std::string("index");
- return *s;
-}
+ const idx &o = static_cast<const idx &>(other);
-//////////
-// static member variables
-//////////
+ // Only pure symbols form dummy pairs, "2n+1" doesn't
+ if (!is_ex_of_type(value, symbol))
+ return false;
-// protected
+ // Value must be equal, of course
+ if (!value.is_equal(o.value))
+ return false;
-unsigned idx::next_serial=0;
+ // Also the dimension
+ return dim.is_equal(o.dim);
+}
-//////////
-// global constants
-//////////
+bool varidx::is_dummy_pair_same_type(const basic & other) const
+{
+ const varidx &o = static_cast<const varidx &>(other);
+
+ // Variance must be opposite
+ if (covariant == o.covariant)
+ return false;
-const idx some_idx;
-const std::type_info & typeid_idx = typeid(some_idx);
+ return inherited::is_dummy_pair_same_type(other);
+}
//////////
-// other functions
+// non-virtual functions
//////////
-/** Bring a vector of indices into a canonic order. This operation only makes
- * sense if the object carrying these indices is either symmetric or totally
- * antisymmetric with respect to the indices.
- *
- * @param iv Index vector
- * @param antisymmetric Whether the object carrying the indices is antisymmetric (symmetric otherwise)
- * @return the sign introduced by the reordering of the indices. For symmetric
- * objects this is always +1. For antisymmetric objects this is either
- * +1 or -1 or 0 (if two equal indices were encountered). If the index
- * vector was unchanged this function returns INT_MAX. */
-int canonicalize_indices(exvector & iv, bool antisymmetric)
+ex varidx::toggle_variance(void) const
{
- if (iv.size()<2) {
- // nothing do to for 0 or 1 indices
- return INT_MAX;
- }
-
- bool something_changed=false;
- int sig=1;
-
- // simple bubble sort algorithm should be sufficient for the small number of indices needed
- exvector::const_iterator last_idx=iv.end();
- exvector::const_iterator next_to_last_idx=iv.end()-1;
- for (exvector::iterator it1=iv.begin(); it1!=next_to_last_idx; ++it1) {
- for (exvector::iterator it2=it1+1; it2!=last_idx; ++it2) {
- int cmpval=(*it1).compare(*it2);
- if (cmpval==1) {
- iter_swap(it1,it2);
- something_changed=true;
- if (antisymmetric) sig=-sig;
- } else if ((cmpval==0) && antisymmetric) {
- something_changed=true;
- sig=0;
- }
- }
- }
-
- return something_changed ? sig : INT_MAX;
+ varidx *i_copy = static_cast<varidx *>(duplicate());
+ i_copy->covariant = !i_copy->covariant;
+ i_copy->clearflag(status_flags::hash_calculated);
+ return i_copy->setflag(status_flags::dynallocated);
}
-/** Build a vector of indices as the set intersection of two other index
- * vectors (i.e. the returned vector contains the indices which appear in
- * both source vectors). */
-exvector idx_intersect(const exvector & iv1, const exvector & iv2)
-{
- // Create union vector
- exvector iv_union;
- iv_union.reserve(iv1.size() + iv2.size());
- iv_union.insert(iv_union.end(), iv1.begin(), iv1.end());
- iv_union.insert(iv_union.end(), iv2.begin(), iv2.end());
-
- // Sort it
- canonicalize_indices(iv_union);
-
- // Look for duplicates
- exvector iv_intersect;
- exvector::const_iterator cit = iv_union.begin(), citend = iv_union.end();
- ex e;
- if (cit != citend)
- e = *cit++;
- while (cit != citend) {
- if (e.is_equal(*cit)) {
- iv_intersect.push_back(e);
- do {
- cit++;
- } while (cit != citend && e.is_equal(*cit));
- if (cit == citend)
- break;
- }
- e = *cit++;
- }
- return iv_intersect;
-}
+//////////
+// global functions
+//////////
-/** Given a vector iv3 of three indices and a vector iv2 of two indices
- * where iv2 is a subset of iv3, return the (free) index that is in iv3
- * but not in iv2 and the sign introduced by permuting that index to the
- * front.
- *
- * @param iv3 Vector of 3 indices
- * @param iv2 Vector of 2 indices, must be a subset of iv3
- * @param sig Returns the sign introduced by permuting the free index to the
- * front if the object carrying the indices was antisymmetric (if
- * it's symmetric, you can just ignore the returned value).
- * @return the free index (the one that is in iv3 but not in iv2) */
-ex permute_free_index_to_front(const exvector & iv3, const exvector & iv2, int * sig)
+bool is_dummy_pair(const idx & i1, const idx & i2)
{
- // match (return value,iv2) to iv3 by permuting indices
- // iv3 is always cyclic
-
- GINAC_ASSERT(iv3.size()==3);
- GINAC_ASSERT(iv2.size()==2);
-
- *sig=1;
+ // The indices must be of exactly the same type
+ if (i1.tinfo() != i2.tinfo())
+ return false;
-#define TEST_PERMUTATION(A,B,C,P) \
- if ((iv3[B].is_equal(iv2[0]))&&(iv3[C].is_equal(iv2[1]))) { \
- *sig=P; \
- return iv3[A]; \
- }
-
- TEST_PERMUTATION(0,1,2, 1);
- TEST_PERMUTATION(0,2,1, -1);
- TEST_PERMUTATION(1,0,2, -1);
- TEST_PERMUTATION(1,2,0, 1);
- TEST_PERMUTATION(2,0,1, 1);
- TEST_PERMUTATION(2,1,0, -1);
- throw(std::logic_error("permute_free_index_to_front(): no valid permutation found"));
-}
-
-/** Substitute one index in a vector of expressions.
- *
- * @param v Vector to substitute in (will be modified)
- * @param is Index being substituted
- * @param ir Index to replace by
- * @return number of performed substitutions */
-unsigned subs_index_in_exvector(exvector & v, const ex & is, const ex & ir)
-{
- exvector::iterator it;
- unsigned replacements=0;
- unsigned current_replacements;
-
- GINAC_ASSERT(is_ex_of_type(is,idx));
- GINAC_ASSERT(is_ex_of_type(ir,idx));
-
- for (it=v.begin(); it!=v.end(); ++it) {
- current_replacements=count_index(*it,is);
- if (current_replacements>0) {
- (*it)=(*it).subs(is==ir);
- }
- replacements += current_replacements;
- }
- return replacements;
+ // Same type, let the indices decide whether they are paired
+ return i1.is_dummy_pair_same_type(i2);
}
-/** Count number of times a given index appears in the index vector of an
- * indexed object.
- *
- * @param e Indexed object
- * @param i Index to look for
- * @return number of times the index was found */
-unsigned count_index(const ex & e, const ex & i)
+bool is_dummy_pair(const ex & e1, const ex & e2)
{
- exvector idxv=e.get_indices();
- unsigned count=0;
- for (exvector::const_iterator cit=idxv.begin(); cit!=idxv.end(); ++cit) {
- if ((*cit).is_equal(i)) count++;
- }
- return count;
-}
+ // The expressions must be indices
+ if (!is_ex_of_type(e1, idx) || !is_ex_of_type(e2, idx))
+ return false;
-/** Substitute multiple indices in an expression.
- *
- * @param e Expression to substitute in
- * @param idxv_subs Vector of indices being substituted
- * @param idxv_repl Vector of indices to replace by (1:1 correspondence to idxv_subs)
- * @return expression with substituted indices */
-ex subs_indices(const ex & e, const exvector & idxv_subs, const exvector & idxv_repl)
-{
- GINAC_ASSERT(idxv_subs.size()==idxv_repl.size());
- ex res=e;
- for (unsigned i=0; i<idxv_subs.size(); ++i) {
- res=res.subs(idxv_subs[i]==idxv_repl[i]);
- }
- return res;
+ return is_dummy_pair(ex_to_idx(e1), ex_to_idx(e2));
}
-#ifndef NO_NAMESPACE_GINAC
} // namespace GiNaC
-#endif // ndef NO_NAMESPACE_GINAC
git://www.ginac.de / ginac.git / blobdiff