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Cadabra
Computer algebra system for field theory problems
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Cadabra
Computer algebra system for field theory problems
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Split an expression into terms or factors.
#include <split.hh>
Public Member Functions | |
| split (const Kernel &, Ex &) | |
| virtual bool | can_apply (iterator) |
| virtual result_t | apply (iterator &) |
 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) |
| std::string | get_index_set_name (iterator it) const |
| bool | rename_replacement_dummies (iterator, bool still_inside_algo=false) |
| Rename the dummies in the sub-tree starting with head at the given iterator. More... | |
| 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 |
| Classify indices bottom-up, that is, given a node, it goes up the tree to find. More... | |
| void | classify_indices (Ex::iterator, index_map_t &ind_free, index_map_t &ind_dummy) const |
| Classify indices top-down, that is, finds the free indices and all dummy index pairs used in the full subtree below a given node. More... | |
| 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... | |
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_obj > | index_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) |
| static bool | is_termlike (iterator) |
| Determines whether the indicated node is 'like a term in a sum'. More... | |
| static bool | is_factorlike (iterator) |
| Determines whether the indicated node is 'like a factor in a product'. More... | |
| 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_iterator > | range_t |
| Finding objects in sets. More... | |
| typedef std::vector< range_t > | range_vector_t |
| 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_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) |
| 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 | |
| Ex & | tr |
| ProgressMonitor * | pm |
| bool | traverse_ldots |
| Protected Attributes inherited from cadabra::IndexClassifier | |
| const Kernel & | kernel |
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virtual |
Implements cadabra::Algorithm.
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virtual |
Implements cadabra::Algorithm.
1.9.1