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Cadabra
Computer algebra system for field theory problems
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32 #include <initializer_list>
39 typedef std::set<std::string>
nset_t;
40 typedef std::set<multiplier_t>
rset_t;
128 void zero(rset_t::iterator&);
129 void one(rset_t::iterator&);
131 void half(rset_t::iterator&);
141 class Ex :
public std::enable_shared_from_this<Ex>,
public tree<str_node> {
145 Ex(tree<str_node>::iterator);
149 Ex(
const std::string&);
181 static std::ostream&
print_python(std::ostream& str, Ex::iterator it);
189 std::ostream&
print_repr(std::ostream& str, Ex::iterator it)
const;
192 iterator
named_parent(iterator it,
const std::string&)
const;
199 static sibling_iterator
arg(iterator,
unsigned int);
200 static unsigned int arg_size(sibling_iterator);
219 unsigned int&)
const;
237 iterator
replace_index(iterator position,
const iterator& from,
bool keep_parent_rel=
false);
241 iterator
move_index(iterator position,
const iterator& from);
280 std::vector<std::vector<Ex::path_t> >
terms;
290 bool operator()(nset_t::iterator first, nset_t::iterator second)
const;
293 template <
typename T>
294 bool is_in(
const T& val,
const std::initializer_list<T>& list)
296 for (
const auto& i : list) {
315 std::ostream&
operator<<(std::ostream&, cadabra::Ex::iterator);
bool keep_after_eval
Definition: Storage.hh:84
bool is_integer() const
Definition: Storage.cc:799
@ b_square
Definition: Storage.hh:58
bool operator()(nset_t::iterator first, nset_t::iterator second) const
Definition: Storage.cc:997
static bool compare_names_only(const str_node &, const str_node &)
Definition: Storage.cc:974
@ p_components
Definition: Storage.hh:62
bool is_name_wildcard() const
Definition: Storage.cc:866
bool changed_state()
A status query method mainly to implement a simple method to apply algorithms until they converge.
Definition: Storage.cc:116
static bool compare_name_inverse_par(const str_node &, const str_node &)
Definition: Storage.cc:988
void list_unwrap_single_element(iterator &)
Definition: Storage.cc:619
std::vector< Ex::path_t > pop_history()
Pop the most recent state of the expression off the history stack; returns the set of paths that we a...
Definition: Storage.cc:711
bool is_integer() const
Definition: Storage.cc:139
nset_t::iterator equation_label(iterator it) const
Definition: Storage.cc:469
std::vector< std::vector< Ex::path_t > > terms
Patterns which describe how to get from one history step to the next.
Definition: Storage.hh:280
std::set< multiplier_t > rset_t
Definition: Storage.hh:40
void flip_sign(rset_t::iterator &num)
Definition: Storage.cc:1029
@ p_none
Definition: Storage.hh:62
unsigned int number_of_steps(iterator it) const
void push_history(const std::vector< Ex::path_t > &)
Push a copy of the current state of the expression onto the history stack.
Definition: Storage.cc:705
hashval_t calc_hash(iterator it) const
Calculate the hash value for the subtree starting at 'it'.
Definition: Storage.cc:402
iterator move_index(iterator position, const iterator &from)
As in replace_index, but moves the index rather than making a copy (so that iterators pointing to the...
Definition: Storage.cc:597
str_node(void)
Definition: Storage.cc:725
bool operator==(const str_node &) const
Definition: Storage.cc:964
bool is_command() const
Definition: Storage.cc:844
bool is_autodeclare_wildcard() const
Definition: Storage.cc:906
iterator equation_by_number(unsigned int i) const
Definition: Storage.cc:506
@ b_invalid
Definition: Storage.hh:58
std::string equation_number_or_name(iterator it, unsigned int last_used_equation) const
Definition: Storage.cc:680
@ p_property
Definition: Storage.hh:62
@ p_exponent
Definition: Storage.hh:62
@ l_applied
Definition: Storage.hh:160
void update_state(result_t)
Definition: Storage.cc:96
unsigned int equation_number(iterator it) const
Definition: Storage.cc:448
@ p_invalid
Definition: Storage.hh:62
long to_long(multiplier_t mul)
Definition: Storage.cc:38
@ b_pointy
Definition: Storage.hh:58
@ b_round
Definition: Storage.hh:58
parent_rel_t parent_rel
Definition: Storage.hh:86
bool is_inert_command() const
Definition: Storage.cc:857
bool line_per_node
Definition: Storage.hh:87
void flip_parent_rel()
Change the parent relation from sub to super and vice versa (throws error when this is not an index).
Definition: Storage.cc:775
iterator procedure_by_name(nset_t::iterator it) const
Definition: Storage.cc:565
bool is_zero() const
Definition: Storage.cc:782
flag_t fl
Definition: Storage.hh:91
@ b_no
Definition: Storage.hh:58
bool is_index() const
Definition: Storage.cc:828
bool is_rational() const
Definition: Storage.cc:794
@ p_sub
Definition: Storage.hh:62
bool operator<(const str_node &) const
Definition: Storage.cc:1043
std::vector< tree< str_node > > history
Definition: Storage.hh:278
std::set< std::string > nset_t
Definition: Storage.hh:39
static unsigned int arg_size(sibling_iterator)
Definition: Storage.cc:434
bool is_indexplus_wildcard() const
Definition: Storage.cc:923
bracket_t bracket
Definition: Storage.hh:85
bool is_hidden(iterator) const
Definition: Storage.cc:554
Ex()
Definition: Storage.cc:57
long to_integer() const
Definition: Storage.cc:147
void reset_state()
Definition: Storage.cc:111
void add(rset_t::iterator &num, multiplier_t fac)
Definition: Storage.cc:1012
bool is_numbered_symbol() const
Definition: Storage.cc:932
int history_size() const
Return the size of the history; 0 means no history, just the current expression.
Definition: Storage.cc:720
static std::ostream & print_recursive_treeform(std::ostream &str, Ex::iterator it)
Definition: Storage.cc:268
bool is_range_wildcard() const
Definition: Storage.cc:888
void half(rset_t::iterator &num)
Definition: Storage.cc:1036
void zero(rset_t::iterator &num)
Definition: Storage.cc:1019
bool operator==(const Ex &other) const
Compare two Ex objects for exact equality; no dummy equivalence or other things that require property...
Definition: Storage.cc:694
nset_t::iterator name
Definition: Storage.hh:72
void one(rset_t::iterator &num)
Definition: Storage.cc:1024
static std::ostream & print_python(std::ostream &str, Ex::iterator it)
Display expression in Python/Cadabra input form.
Definition: Storage.cc:154
bool is_in(const T &val, const std::initializer_list< T > &list)
Definition: Storage.hh:294
@ l_applied_no_new_dummies
Definition: Storage.hh:160
unsigned int number_of_equations() const
Definition: Storage.cc:640
static sibling_iterator arg(iterator, unsigned int)
Quick access to arguments or argument lists for A(B)(C,D) type nodes.
Definition: Storage.cc:425
bool is_unsimplified_integer() const
Definition: Storage.cc:818
result_t state_
Definition: Storage.hh:276
static bool compare_name_brack_par(const str_node &, const str_node &)
Definition: Storage.cc:980
bool is_rational() const
Test if the expression is a rational number.
Definition: Storage.cc:124
multiplier_t arg_to_num(sibling_iterator, unsigned int) const
Definition: Storage.cc:440
@ b_none
Definition: Storage.hh:58
@ l_no_action
Definition: Storage.hh:160
std::ostream & operator<<(std::ostream &, const cadabra::Ex &)
Definition: Storage.cc:1053
Functions to handle the exchange properties of two or more symbols in a product.
Definition: Adjform.cc:83
iterator equation_by_name(nset_t::iterator it) const
Definition: Storage.cc:524
Definition: Storage.hh:141
bool is_siblings_wildcard() const
Definition: Storage.cc:897
bracket_t
Definition: Storage.hh:58
bool is_object_wildcard() const
Definition: Storage.cc:879
std::string to_string(long num)
Definition: Storage.cc:48
multiplier_t to_rational() const
Definition: Storage.cc:132
void multiply(rset_t::iterator &num, multiplier_t fac)
Definition: Storage.cc:1005
iterator flatten_and_erase(iterator position)
Replace the node with the children of the node, useful for e.g.
Definition: Storage.cc:629
@ l_error
Definition: Storage.hh:160
nset_t name_set
Definition: Storage.cc:35
mpq_class multiplier_t
Definition: Storage.hh:38
bool is_unsimplified_rational() const
Definition: Storage.cc:808
bool is_indexstar_wildcard() const
Definition: Storage.cc:914
bool is_identity() const
Definition: Storage.cc:788
@ l_checkpointed
Definition: Storage.hh:160
Definition: Storage.hh:56
rset_t::iterator multiplier
Definition: Storage.hh:73
iterator replace_index(iterator position, const iterator &from, bool keep_parent_rel=false)
Replace the index-like object (originally intended to replace indices only, but now used also for e....
Definition: Storage.cc:585
iterator named_parent(iterator it, const std::string &) const
Step up until matching node is found (if current node matches, do nothing)
Definition: Storage.cc:382
result_t state() const
Definition: Storage.cc:91
@ p_super
Definition: Storage.hh:62
iterator equation_by_number_or_name(iterator it, unsigned int last_used_equation) const
Definition: Storage.cc:674
nset_t::iterator name_only()
Definition: Storage.cc:941
result_t
Keeping track of what algorithms have done to this expression.
Definition: Storage.hh:160
iterator erase_expression(iterator it)
Definition: Storage.cc:395
void list_wrap_single_element(iterator &)
Make sure that the node pointed to is a \comma object, i.e.
Definition: Storage.cc:608
Definition: Storage.hh:288
@ b_curly
Definition: Storage.hh:58
std::ostream & print_repr(std::ostream &str, Ex::iterator it) const
Print a representation like Python's 'repr'.
Definition: Storage.cc:257
parent_rel_t
Child nodes are related to their parent node by a so-called parent relation, which can be one of thes...
Definition: Storage.hh:62
rset_t rat_set
Definition: Storage.cc:36
uintptr_t hashval_t
Definition: Storage.hh:41
std::ostream & print_entire_tree(std::ostream &str) const
Output helpers mainly for debugging purposes.
Definition: Storage.cc:290
Definition: Storage.hh:83
double to_double(multiplier_t mul)
Definition: Storage.cc:43
bool is_quoted_string() const
Definition: Storage.cc:836