Cadabra
Computer algebra system for field theory problems
Public Member Functions | Protected Member Functions | Private Member Functions | Private Attributes | List of all members
cadabra::eliminate_converter Class Referenceabstract

#include <eliminate_metric.hh>

Inheritance diagram for cadabra::eliminate_converter:
cadabra::Algorithm cadabra::IndexClassifier cadabra::eliminate_metric cadabra::eliminate_vielbein

Public Member Functions

 eliminate_converter (const Kernel &, Ex &, Ex &)
 
virtual bool can_apply (iterator) override
 
virtual result_t apply (iterator &) override
 
- Public Member Functions inherited from cadabra::Algorithm
 Algorithm (const Kernel &, Ex &)
 Initialise the algorithm with a reference to the expression tree, but do not yet do anything with this tree. More...
 
virtual ~Algorithm ()
 
void set_progress_monitor (ProgressMonitor *)
 Provide the algorithm with a ProgressMonitor object on which to register (nested) progress information, to be reported out-of-band to a client. More...
 
result_t apply_generic (bool deep=true, bool repeat=false, unsigned int depth=0)
 The main entry points for running algorithms, which traverse the tree post-order ('child before parent'). More...
 
result_t apply_generic (iterator &, bool deep, bool repeat, unsigned int depth)
 
result_t apply_pre_order (bool repeat=false)
 Apply algorithm with alternative traversal: starting from the top node, traverse the tree pre-order ('parent before child') and once the algorithm acts at a given node, do not traverse the subtree below anymore. More...
 
bool check_consistency (iterator) const
 Given an expression top node, check index consistency. More...
 
bool check_index_consistency (iterator) const
 
bool check_degree_consistency (iterator) const
 Given an expression top node, check differential form degree consistency. More...
 
void report_progress (const std::string &, int todo, int done, int count=2)
 
index_iterator begin_index (iterator it) const
 
index_iterator end_index (iterator it) const
 
unsigned int number_of_indices (iterator it)
 
bool rename_replacement_dummies (iterator, bool still_inside_algo=false)
 
- Public Member Functions inherited from cadabra::IndexClassifier
 IndexClassifier (const Kernel &)
 
void fill_index_position_map (Ex::iterator, const index_map_t &, index_position_map_t &) const
 Routines to find and classify all indices in an expression, taking into account sums and products. More...
 
void fill_map (index_map_t &, Ex::sibling_iterator, Ex::sibling_iterator) const
 
void print_classify_indices (std::ostream &, Ex::iterator) const
 
void determine_intersection (index_map_t &one, index_map_t &two, index_map_t &target, bool move_out=false) const
 Determine those indices in 'two' which have a name which is identical to an index name occurring in 'one'. More...
 
void classify_add_index (Ex::iterator it, index_map_t &ind_free, index_map_t &ind_dummy) const
 
void classify_indices_up (Ex::iterator, index_map_t &ind_free, index_map_t &ind_dummy) const
 
void classify_indices (Ex::iterator, index_map_t &ind_free, index_map_t &ind_dummy) const
 
int max_numbered_name_one (const std::string &nm, const index_map_t *one) const
 
int max_numbered_name (const std::string &, const index_map_t *m1, const index_map_t *m2=0, const index_map_t *m3=0, const index_map_t *m4=0, const index_map_t *m5=0) const
 
Ex get_dummy (const list_property *, const index_map_t *m1, const index_map_t *m2=0, const index_map_t *m3=0, const index_map_t *m4=0, const index_map_t *m5=0) const
 
Ex get_dummy (const list_property *, Ex::iterator) const
 
Ex get_dummy (const list_property *, Ex::iterator, Ex::iterator) const
 
bool index_in_set (Ex, const index_map_t *) const
 
void dumpmap (std::ostream &, const index_map_t &) const
 
index_map_t::iterator find_modulo_parent_rel (Ex::iterator it, index_map_t &imap) const
 Find an index in the set, not taking into account index position. More...
 

Protected Member Functions

virtual bool is_conversion_object (iterator) const =0
 
- Protected Member Functions inherited from cadabra::Algorithm
int index_parity (iterator) const
 
bool contains (sibling_iterator from, sibling_iterator to, sibling_iterator arg)
 
void find_argument_lists (range_vector_t &, bool only_comma_lists=true) const
 
template<class Iter >
range_vector_t::iterator find_arg_superset (range_vector_t &, Iter st, Iter nd)
 
range_vector_t::iterator find_arg_superset (range_vector_t &, sibling_iterator it)
 
unsigned int locate_single_object (Ex::iterator obj_to_find, Ex::iterator st, Ex::iterator nd, std::vector< unsigned int > &store)
 
bool locate_object_set (const Ex &objs, Ex::iterator st, Ex::iterator nd, std::vector< unsigned int > &store)
 
bool is_termlike (iterator)
 Determines whether the indicated node is 'like a term in a sum'. More...
 
bool is_factorlike (iterator)
 Determines whether the indicated node is 'like a factor in a product'. More...
 
bool is_single_term (iterator)
 Take a single non-product node in a sum and wrap it in a product node, so it can be handled on the same footing as a proper product. More...
 
bool is_nonprod_factor_in_prod (iterator)
 
bool prod_wrap_single_term (iterator &)
 
bool prod_unwrap_single_term (iterator &)
 
bool sum_wrap_single_term (iterator &)
 
bool sum_unwrap_single_term (iterator &)
 
void force_node_wrap (iterator &, std::string)
 Wrap a term in a product or sum in a node with indicated name, irrespective of its parent (it usually makes more sense to call the safer prod_wrap_single_term or sum_wrap_single_term above). More...
 
bool separated_by_derivative (iterator, iterator, iterator check_dependence) const
 Figure out whether two objects (commonly indices) are separated by a derivative operator, as in. More...
 
void pushup_multiplier (iterator)
 
template<class BinaryPredicate >
unsigned int intersection_number (sibling_iterator, sibling_iterator, sibling_iterator, sibling_iterator, BinaryPredicate) const
 Determine the number of elements in the first range which also occur in the second range. More...
 
void node_zero (iterator)
 
void node_one (iterator)
 
void node_integer (iterator, int)
 

Private Member Functions

bool handle_one_index (index_iterator i1, index_iterator i2, iterator fit, sibling_iterator objs)
 See if the conversion which turns index 'i1' into index 'i2' can be applied on the expression, so that it gets a factor in the expression closer to the 'fit' form. More...
 

Private Attributes

Ex preferred
 
index_map_t ind_dummy
 
index_map_t ind_free
 

Additional Inherited Members

- Public Types inherited from cadabra::Algorithm
typedef Ex::iterator iterator
 
typedef Ex::post_order_iterator post_order_iterator
 
typedef Ex::sibling_iterator sibling_iterator
 
typedef Ex::result_t result_t
 
- Public Types inherited from cadabra::IndexClassifier
typedef std::multimap< Ex, Ex::iterator, tree_exact_less_for_indexmap_objindex_map_t
 A map from a pattern to the position where it occurs in the tree. More...
 
typedef std::map< Ex::iterator, int, Ex::iterator_base_less > index_position_map_t
 A map from the position of each index to the sequential index. More...
 
- Static Public Member Functions inherited from cadabra::Algorithm
static unsigned int number_of_indices (const Properties &, iterator it)
 
static unsigned int number_of_direct_indices (iterator it)
 
- Public Attributes inherited from cadabra::Algorithm
bool interrupted
 
unsigned int number_of_calls
 
unsigned int number_of_modifications
 
bool suppress_normal_output
 
bool discard_command_node
 
Stopwatch index_sw
 
Stopwatch get_dummy_sw
 
Stopwatch report_progress_stopwatch
 
- Protected Types inherited from cadabra::Algorithm
typedef std::pair< sibling_iterator, sibling_iteratorrange_t
 Finding objects in sets. More...
 
typedef std::vector< range_trange_vector_t
 
- Static Protected Member Functions inherited from cadabra::Algorithm
static bool less_without_numbers (nset_t::iterator, nset_t::iterator)
 
static bool equal_without_numbers (nset_t::iterator, nset_t::iterator)
 
static bool compare_ (const str_node &, const str_node &)
 
- Protected Attributes inherited from cadabra::Algorithm
Extr
 
ProgressMonitorpm
 
bool traverse_ldots
 
- Protected Attributes inherited from cadabra::IndexClassifier
const Kernelkernel
 

Constructor & Destructor Documentation

◆ eliminate_converter()

eliminate_converter::eliminate_converter ( const Kernel k,
Ex e,
Ex pref 
)

Member Function Documentation

◆ apply()

Algorithm::result_t eliminate_converter::apply ( iterator it)
overridevirtual

Implements cadabra::Algorithm.

◆ can_apply()

bool eliminate_converter::can_apply ( iterator  it)
overridevirtual

Implements cadabra::Algorithm.

◆ handle_one_index()

bool eliminate_converter::handle_one_index ( index_iterator  i1,
index_iterator  i2,
iterator  fit,
sibling_iterator  objs 
)
private

See if the conversion which turns index 'i1' into index 'i2' can be applied on the expression, so that it gets a factor in the expression closer to the 'fit' form.

The two indices 'i1' and 'i2' are objects on the convertor object, so they need to appear with opposite parent rel in the expression if they are to be applied (if the index position type is 'fixed').

◆ is_conversion_object()

virtual bool cadabra::eliminate_converter::is_conversion_object ( iterator  ) const
protectedpure virtual

Member Data Documentation

◆ ind_dummy

index_map_t cadabra::eliminate_converter::ind_dummy
private

◆ ind_free

index_map_t cadabra::eliminate_converter::ind_free
private

◆ preferred

Ex cadabra::eliminate_converter::preferred
private

The documentation for this class was generated from the following files: