* Interface to GiNaC's indices. */
/*
- * 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
#define __GINAC_IDX_H__
#include "ex.h"
+#include "numeric.h"
namespace GiNaC {
* @return newly constructed index */
explicit idx(const ex & v, const ex & dim);
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
- void print(const print_context & c, unsigned level = 0) const;
bool info(unsigned inf) const;
- unsigned nops() const;
- ex & let_op(int i);
+ size_t nops() const;
+ ex op(size_t i) const;
+ ex map(map_function & f) const;
ex evalf(int level = 0) const;
- ex subs(const lst & ls, const lst & lr, bool no_pattern = false) const;
+ ex subs(const exmap & m, unsigned options = 0) const;
protected:
ex derivative(const symbol & s) const;
bool match_same_type(const basic & other) const;
+ unsigned calchash() const;
// new virtual functions in this class
public:
// non-virtual functions in this class
public:
/** Get value of index. */
- ex get_value(void) const {return value;}
+ ex get_value() const {return value;}
/** Check whether the index is numeric. */
- bool is_numeric(void) const {return is_ex_exactly_of_type(value, numeric);}
+ bool is_numeric() const {return is_exactly_a<numeric>(value);}
/** Check whether the index is symbolic. */
- bool is_symbolic(void) const {return !is_ex_exactly_of_type(value, numeric);}
+ bool is_symbolic() const {return !is_exactly_a<numeric>(value);}
/** Get dimension of index space. */
- ex get_dim(void) const {return dim;}
+ ex get_dim() const {return dim;}
/** Check whether the dimension is numeric. */
- bool is_dim_numeric(void) const {return is_ex_exactly_of_type(dim, numeric);}
+ bool is_dim_numeric() const {return is_exactly_a<numeric>(dim);}
/** Check whether the dimension is symbolic. */
- bool is_dim_symbolic(void) const {return !is_ex_exactly_of_type(dim, numeric);}
+ bool is_dim_symbolic() const {return !is_exactly_a<numeric>(dim);}
+
+ /** Make a new index with the same value but a different dimension. */
+ ex replace_dim(const ex & new_dim) const;
+
+ /** Return the minimum of the dimensions of this and another index.
+ * If this is undecidable, throw an exception. */
+ ex minimal_dim(const idx & other) const;
+
+protected:
+ void print_index(const print_context & c, unsigned level) const;
+ void do_print(const print_context & c, unsigned level) const;
+ void do_print_latex(const print_latex & c, unsigned level) const;
+ void do_print_tree(const print_tree & c, unsigned level) const;
protected:
ex value; /**< Expression that constitutes the index (numeric or symbolic name) */
* @return newly constructed index */
varidx(const ex & v, const ex & dim, bool covariant = false);
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
- void print(const print_context & c, unsigned level = 0) const;
bool is_dummy_pair_same_type(const basic & other) const;
protected:
// non-virtual functions in this class
public:
/** Check whether the index is covariant. */
- bool is_covariant(void) const {return covariant;}
+ bool is_covariant() const {return covariant;}
/** Check whether the index is contravariant (not covariant). */
- bool is_contravariant(void) const {return !covariant;}
+ bool is_contravariant() const {return !covariant;}
/** Make a new index with the same value but the opposite variance. */
- ex toggle_variance(void) const;
+ ex toggle_variance() const;
+
+protected:
+ void do_print(const print_context & c, unsigned level) const;
+ void do_print_tree(const print_tree & c, unsigned level) const;
// member variables
protected:
* @return newly constructed index */
spinidx(const ex & v, const ex & dim = 2, bool covariant = false, bool dotted = false);
- // functions overriding virtual functions from bases classes
+ // functions overriding virtual functions from base classes
public:
- void print(const print_context & c, unsigned level = 0) const;
bool is_dummy_pair_same_type(const basic & other) const;
+ // complex conjugation
+ ex conjugate() const { return toggle_dot(); }
protected:
bool match_same_type(const basic & other) const;
// non-virtual functions in this class
public:
/** Check whether the index is dotted. */
- bool is_dotted(void) const {return dotted;}
+ bool is_dotted() const {return dotted;}
/** Check whether the index is not dotted. */
- bool is_undotted(void) const {return !dotted;}
+ bool is_undotted() const {return !dotted;}
/** Make a new index with the same value and variance but the opposite
* dottedness. */
- ex toggle_dot(void) const;
+ ex toggle_dot() const;
/** Make a new index with the same value but opposite variance and
* dottedness. */
- ex toggle_variance_dot(void) const;
+ ex toggle_variance_dot() const;
+
+protected:
+ void do_print(const print_context & c, unsigned level) const;
+ void do_print_latex(const print_latex & c, unsigned level) const;
+ void do_print_tree(const print_tree & c, unsigned level) const;
// member variables
protected:
// utility functions
-/** Return the idx object handled by an ex. Deprecated: use ex_to<idx>().
- * This is unsafe: you need to check the type first. */
-inline const idx &ex_to_idx(const ex & e)
-{
- return static_cast<const idx &>(*e.bp);
-}
-
-/** Return the varidx object handled by an ex. Deprecated: use ex_to<varidx>().
- * This is unsafe: you need to check the type first. */
-inline const varidx &ex_to_varidx(const ex & e)
-{
- return static_cast<const varidx &>(*e.bp);
-}
-
-/** Return the spinidx object handled by an ex. Deprecated: use ex_to<spinidx>().
- * This is unsafe: you need to check the type first. */
-inline const spinidx &ex_to_spinidx(const ex & e)
-{
- return static_cast<const spinidx &>(*e.bp);
-}
-
/** Specialization of is_exactly_a<idx>(obj) for idx objects. */
template<> inline bool is_exactly_a<idx>(const basic & obj)
{
}
/** Count the number of dummy index pairs in an index vector. */
-inline unsigned count_dummy_indices(const exvector & v)
+inline size_t count_dummy_indices(const exvector & v)
{
exvector free_indices, dummy_indices;
find_free_and_dummy(v.begin(), v.end(), free_indices, dummy_indices);
}
/** Count the number of dummy index pairs in an index vector. */
-inline unsigned count_free_indices(const exvector & v)
+inline size_t count_free_indices(const exvector & v)
{
exvector free_indices, dummy_indices;
find_free_and_dummy(v.begin(), v.end(), free_indices, dummy_indices);
return free_indices.size();
}
+/** Return the minimum of two index dimensions. If this is undecidable,
+ * throw an exception. Numeric dimensions are always considered "smaller"
+ * than symbolic dimensions. */
+ex minimal_dim(const ex & dim1, const ex & dim2);
+
} // namespace GiNaC
#endif // ndef __GINAC_IDX_H__
git://www.ginac.de / ginac.git / blobdiff