GiNaC 1.8.7
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23#ifndef GINAC_MUL_H
24#define GINAC_MUL_H
26#include "expairseq.h"
28namespace GiNaC {
31class mul : public expairseq
35 friend class add;
36 friend class ncmul;
37 friend class power;
39 // other constructors
41 mul(const ex & lh, const ex & rh);
42 mul(const exvector & v);
43 mul(const epvector & v);
44 mul(const epvector & v, const ex & oc, bool do_index_renaming = false);
45 mul(epvector && vp);
46 mul(epvector && vp, const ex & oc, bool do_index_renaming = false);
47 mul(const ex & lh, const ex & mh, const ex & rh);
49 // functions overriding virtual functions from base classes
51 unsigned precedence() const override {return 50;}
52 bool info(unsigned inf) const override;
53 bool is_polynomial(const ex & var) const override;
54 int degree(const ex & s) const override;
55 int ldegree(const ex & s) const override;
56 ex coeff(const ex & s, int n = 1) const override;
57 bool has(const ex & other, unsigned options = 0) const override;
58 ex eval() const override;
59 ex evalf() const override;
60 ex real_part() const override;
61 ex imag_part() const override;
62 ex evalm() const override;
63 ex series(const relational & s, int order, unsigned options = 0) const override;
64 ex normal(exmap & repl, exmap & rev_lookup, lst & modifier) const override;
65 numeric integer_content() const override;
66 ex smod(const numeric &xi) const override;
67 numeric max_coefficient() const override;
68 exvector get_free_indices() const override;
69 ex conjugate() const override;
71 ex derivative(const symbol & s) const override;
72 ex eval_ncmul(const exvector & v) const override;
73 unsigned return_type() const override;
74 return_type_t return_type_tinfo() const override;
75 ex thisexpairseq(const epvector & v, const ex & oc, bool do_index_renaming = false) const override;
76 ex thisexpairseq(epvector && vp, const ex & oc, bool do_index_renaming = false) const override;
77 expair split_ex_to_pair(const ex & e) const override;
78 expair combine_ex_with_coeff_to_pair(const ex & e, const ex & c) const override;
79 expair combine_pair_with_coeff_to_pair(const expair & p, const ex & c) const override;
80 ex recombine_pair_to_ex(const expair & p) const override;
81 bool expair_needs_further_processing(epp it) override;
82 ex default_overall_coeff() const override;
83 void combine_overall_coeff(const ex & c) override;
84 void combine_overall_coeff(const ex & c1, const ex & c2) override;
85 bool can_make_flat(const expair & p) const override;
86 ex expand(unsigned options=0) const override;
88 // new virtual functions which can be overridden by derived classes
89 // none
91 // non-virtual functions in this class
93 ex algebraic_subs_mul(const exmap & m, unsigned options) const;
95 void find_real_imag(ex&, ex&) const;
96 void print_overall_coeff(const print_context & c, const char *mul_sym) const;
97 void do_print(const print_context & c, unsigned level) const;
98 void do_print_latex(const print_latex & c, unsigned level) const;
99 void do_print_csrc(const print_csrc & c, unsigned level) const;
100 void do_print_python_repr(const print_python_repr & c, unsigned level) const;
101 static bool can_be_further_expanded(const ex & e);
102 epvector expandchildren(unsigned options) const;
106} // namespace GiNaC
108#endif // ndef GINAC_MUL_H
Sum of expressions.
Definition: add.h:32
Wrapper template for making GiNaC classes out of STL containers.
Definition: container.h:73
Lightweight wrapper for GiNaC's symbolic objects.
Definition: ex.h:72
A pair of expressions.
Definition: expair.h:38
A sequence of class expair.
Definition: expairseq.h:50
Product of expressions.
Definition: mul.h:32
ex thisexpairseq(const epvector &v, const ex &oc, bool do_index_renaming=false) const override
Create an object of this type.
Definition: mul.cpp:936
bool info(unsigned inf) const override
Information about the object.
Definition: mul.cpp:272
ex real_part() const override
Definition: mul.cpp:608
bool expair_needs_further_processing(epp it) override
Definition: mul.cpp:1007
ex evalf() const override
Evaluate object numerically.
Definition: mul.cpp:577
epvector expandchildren(unsigned options) const
Member-wise expand the expairs representing this sequence.
Definition: mul.cpp:1258
unsigned precedence() const override
Return relative operator precedence (for parenthezing output).
Definition: mul.h:51
bool is_polynomial(const ex &var) const override
Check whether this is a polynomial in the given variables.
Definition: mul.cpp:386
return_type_t return_type_tinfo() const override
Definition: mul.cpp:922
ex series(const relational &s, int order, unsigned options=0) const override
Implementation of ex::series() for product.
Definition: pseries.cpp:863
ex default_overall_coeff() const override
Definition: mul.cpp:1030
void do_print_csrc(const print_csrc &c, unsigned level) const
Definition: mul.cpp:208
unsigned return_type() const override
Definition: mul.cpp:889
void do_print(const print_context &c, unsigned level) const
Definition: mul.cpp:148
void do_print_python_repr(const print_python_repr &c, unsigned level) const
Definition: mul.cpp:261
ex conjugate() const override
Definition: mul.cpp:829
bool can_make_flat(const expair &p) const override
Definition: mul.cpp:1050
ex imag_part() const override
Definition: mul.cpp:615
expair combine_ex_with_coeff_to_pair(const ex &e, const ex &c) const override
Definition: mul.cpp:956
void combine_overall_coeff(const ex &c) override
Definition: mul.cpp:1035
int ldegree(const ex &s) const override
Return degree of lowest power in object s.
Definition: mul.cpp:412
ex eval() const override
Perform automatic term rewriting rules in this class.
Definition: mul.cpp:468
expair split_ex_to_pair(const ex &e) const override
Form an expair from an ex, using the corresponding semantics.
Definition: mul.cpp:946
ex expand(unsigned options=0) const override
Expand expression, i.e.
Definition: mul.cpp:1072
int degree(const ex &s) const override
Return degree of highest power in object s.
Definition: mul.cpp:397
void do_print_latex(const print_latex &c, unsigned level) const
Definition: mul.cpp:168
static bool can_be_further_expanded(const ex &e)
Definition: mul.cpp:1058
ex derivative(const symbol &s) const override
Implementation of ex::diff() for a product.
Definition: mul.cpp:863
void find_real_imag(ex &, ex &) const
Definition: mul.cpp:587
ex coeff(const ex &s, int n=1) const override
Return coefficient of degree n in object s.
Definition: mul.cpp:427
ex recombine_pair_to_ex(const expair &p) const override
Form an ex out of an expair, using the corresponding semantics.
Definition: mul.cpp:999
ex evalm() const override
Evaluate sums, products and integer powers of matrices.
Definition: mul.cpp:622
exvector get_free_indices() const override
Return a vector containing the free indices of an expression.
Definition: indexed.cpp:479
ex smod(const numeric &xi) const override
Apply symmetric modular homomorphism to an expanded multivariate polynomial.
Definition: normal.cpp:1228
void print_overall_coeff(const print_context &c, const char *mul_sym) const
Definition: mul.cpp:126
expair combine_pair_with_coeff_to_pair(const expair &p, const ex &c) const override
Definition: mul.cpp:976
ex algebraic_subs_mul(const exmap &m, unsigned options) const
Definition: mul.cpp:770
ex eval_ncmul(const exvector &v) const override
Definition: mul.cpp:660
bool has(const ex &other, unsigned options=0) const override
Test for occurrence of a pattern.
Definition: mul.cpp:754
ex normal(exmap &repl, exmap &rev_lookup, lst &modifier) const override
Implementation of ex::normal() for a product.
Definition: normal.cpp:2401
numeric integer_content() const override
Definition: normal.cpp:348
numeric max_coefficient() const override
Implementation ex::max_coefficient().
Definition: normal.cpp:1185
Non-commutative product of expressions.
Definition: ncmul.h:33
This class is a wrapper around CLN-numbers within the GiNaC class hierarchy.
Definition: numeric.h:82
This class holds a two-component object, a basis and and exponent representing exponentiation.
Definition: power.h:39
Base class for print_contexts.
Definition: print.h:103
Base context for C source output.
Definition: print.h:158
Context for latex-parsable output.
Definition: print.h:123
Context for python-parsable output.
Definition: print.h:139
This class holds a relation consisting of two expressions and a logical relation between them.
Definition: relational.h:35
Basic CAS symbol.
Definition: symbol.h:39
Interface to sequences of expression pairs.
unsigned options
Definition: factor.cpp:2475
size_t n
Definition: factor.cpp:1432
size_t c
Definition: factor.cpp:757
mvec m
Definition: factor.cpp:758
int order
Definition: add.cpp:38
std::map< ex, ex, ex_is_less > exmap
Definition: basic.h:50
std::vector< expair > epvector
Definition: expairseq.h:33
epvector::iterator epp
expair-vector pointer
Definition: expairseq.h:34
std::vector< ex > exvector
Definition: basic.h:48
#define GINAC_DECLARE_REGISTERED_CLASS(classname, supername)
Macro for inclusion in the declaration of each registered class.
Definition: registrar.h:153
To distinguish between different kinds of non-commutative objects.
Definition: registrar.h:44

This page is part of the GiNaC developer's reference. It was generated automatically by doxygen. For an introduction, see the tutorial.