GiNaC 1.8.10
mul.h
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5/*
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21
22#ifndef GINAC_MUL_H
23#define GINAC_MUL_H
24
25#include "expairseq.h"
26
27namespace GiNaC {
28
30class mul : public expairseq
31{
33
34 friend class add;
35 friend class ncmul;
36 friend class power;
37
38 // other constructors
39public:
40 mul(const ex & lh, const ex & rh);
41 mul(const exvector & v);
42 mul(const epvector & v);
43 mul(const epvector & v, const ex & oc, bool do_index_renaming = false);
44 mul(epvector && vp);
45 mul(epvector && vp, const ex & oc, bool do_index_renaming = false);
46 mul(const ex & lh, const ex & mh, const ex & rh);
47
48 // functions overriding virtual functions from base classes
49public:
50 unsigned precedence() const override {return 50;}
51 bool info(unsigned inf) const override;
52 bool is_polynomial(const ex & var) const override;
53 int degree(const ex & s) const override;
54 int ldegree(const ex & s) const override;
55 ex coeff(const ex & s, int n = 1) const override;
56 bool has(const ex & other, unsigned options = 0) const override;
57 ex eval() const override;
58 ex evalf() const override;
59 ex real_part() const override;
60 ex imag_part() const override;
61 ex evalm() const override;
62 ex series(const relational & s, int order, unsigned options = 0) const override;
63 ex normal(exmap & repl, exmap & rev_lookup, lst & modifier) const override;
64 numeric integer_content() const override;
65 ex smod(const numeric &xi) const override;
66 numeric max_coefficient() const override;
67 exvector get_free_indices() const override;
68 ex conjugate() const override;
69protected:
70 ex derivative(const symbol & s) const override;
71 ex eval_ncmul(const exvector & v) const override;
72 unsigned return_type() const override;
73 return_type_t return_type_tinfo() const override;
74 ex thisexpairseq(const epvector & v, const ex & oc, bool do_index_renaming = false) const override;
75 ex thisexpairseq(epvector && vp, const ex & oc, bool do_index_renaming = false) const override;
76 expair split_ex_to_pair(const ex & e) const override;
77 expair combine_ex_with_coeff_to_pair(const ex & e, const ex & c) const override;
78 expair combine_pair_with_coeff_to_pair(const expair & p, const ex & c) const override;
79 ex recombine_pair_to_ex(const expair & p) const override;
80 bool expair_needs_further_processing(epp it) override;
81 ex default_overall_coeff() const override;
82 void combine_overall_coeff(const ex & c) override;
83 void combine_overall_coeff(const ex & c1, const ex & c2) override;
84 bool can_make_flat(const expair & p) const override;
85 ex expand(unsigned options=0) const override;
86
87 // new virtual functions which can be overridden by derived classes
88 // none
89
90 // non-virtual functions in this class
91public:
92 ex algebraic_subs_mul(const exmap & m, unsigned options) const;
93protected:
94 void find_real_imag(ex&, ex&) const;
95 void print_overall_coeff(const print_context & c, const char *mul_sym) const;
96 void do_print(const print_context & c, unsigned level) const;
97 void do_print_latex(const print_latex & c, unsigned level) const;
98 void do_print_csrc(const print_csrc & c, unsigned level) const;
99 void do_print_python_repr(const print_python_repr & c, unsigned level) const;
100 static bool can_be_further_expanded(const ex & e);
101 epvector expandchildren(unsigned options) const;
102};
104
105} // namespace GiNaC
106
107#endif // ndef GINAC_MUL_H
#define GINAC_DECLARE_UNARCHIVER(classname)
Helper macros to register a class with (un)archiving (a.k.a.
Definition archive.h:218
Sum of expressions.
Definition add.h:31
Wrapper template for making GiNaC classes out of STL containers.
Definition container.h:72
Lightweight wrapper for GiNaC's symbolic objects.
Definition ex.h:72
A pair of expressions.
Definition expair.h:37
A sequence of class expair.
Definition expairseq.h:49
Product of expressions.
Definition mul.h:31
ex thisexpairseq(const epvector &v, const ex &oc, bool do_index_renaming=false) const override
Create an object of this type.
Definition mul.cpp:934
bool info(unsigned inf) const override
Information about the object.
Definition mul.cpp:270
ex real_part() const override
Definition mul.cpp:606
bool expair_needs_further_processing(epp it) override
Definition mul.cpp:1005
ex evalf() const override
Evaluate object numerically.
Definition mul.cpp:575
epvector expandchildren(unsigned options) const
Member-wise expand the expairs representing this sequence.
Definition mul.cpp:1256
unsigned precedence() const override
Return relative operator precedence (for parenthezing output).
Definition mul.h:50
bool is_polynomial(const ex &var) const override
Check whether this is a polynomial in the given variables.
Definition mul.cpp:384
return_type_t return_type_tinfo() const override
Definition mul.cpp:920
ex series(const relational &s, int order, unsigned options=0) const override
Implementation of ex::series() for product.
Definition pseries.cpp:862
ex default_overall_coeff() const override
Definition mul.cpp:1028
void do_print_csrc(const print_csrc &c, unsigned level) const
Definition mul.cpp:206
unsigned return_type() const override
Definition mul.cpp:887
void do_print(const print_context &c, unsigned level) const
Definition mul.cpp:146
void do_print_python_repr(const print_python_repr &c, unsigned level) const
Definition mul.cpp:259
ex conjugate() const override
Definition mul.cpp:827
bool can_make_flat(const expair &p) const override
Definition mul.cpp:1048
ex imag_part() const override
Definition mul.cpp:613
expair combine_ex_with_coeff_to_pair(const ex &e, const ex &c) const override
Definition mul.cpp:954
void combine_overall_coeff(const ex &c) override
Definition mul.cpp:1033
int ldegree(const ex &s) const override
Return degree of lowest power in object s.
Definition mul.cpp:410
ex eval() const override
Perform automatic term rewriting rules in this class.
Definition mul.cpp:466
expair split_ex_to_pair(const ex &e) const override
Form an expair from an ex, using the corresponding semantics.
Definition mul.cpp:944
ex expand(unsigned options=0) const override
Expand expression, i.e.
Definition mul.cpp:1070
int degree(const ex &s) const override
Return degree of highest power in object s.
Definition mul.cpp:395
void do_print_latex(const print_latex &c, unsigned level) const
Definition mul.cpp:166
static bool can_be_further_expanded(const ex &e)
Definition mul.cpp:1056
ex derivative(const symbol &s) const override
Implementation of ex::diff() for a product.
Definition mul.cpp:861
void find_real_imag(ex &, ex &) const
Definition mul.cpp:585
ex coeff(const ex &s, int n=1) const override
Return coefficient of degree n in object s.
Definition mul.cpp:425
ex recombine_pair_to_ex(const expair &p) const override
Form an ex out of an expair, using the corresponding semantics.
Definition mul.cpp:997
ex evalm() const override
Evaluate sums, products and integer powers of matrices.
Definition mul.cpp:620
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:1227
void print_overall_coeff(const print_context &c, const char *mul_sym) const
Definition mul.cpp:124
expair combine_pair_with_coeff_to_pair(const expair &p, const ex &c) const override
Definition mul.cpp:974
ex algebraic_subs_mul(const exmap &m, unsigned options) const
Definition mul.cpp:768
ex eval_ncmul(const exvector &v) const override
Definition mul.cpp:658
bool has(const ex &other, unsigned options=0) const override
Test for occurrence of a pattern.
Definition mul.cpp:752
ex normal(exmap &repl, exmap &rev_lookup, lst &modifier) const override
Implementation of ex::normal() for a product.
Definition normal.cpp:2400
numeric integer_content() const override
Definition normal.cpp:347
numeric max_coefficient() const override
Implementation ex::max_coefficient().
Definition normal.cpp:1184
Non-commutative product of expressions.
Definition ncmul.h:32
This class is a wrapper around CLN-numbers within the GiNaC class hierarchy.
Definition numeric.h:81
This class holds a two-component object, a basis and and exponent representing exponentiation.
Definition power.h:38
Base class for print_contexts.
Definition print.h:101
Base context for C source output.
Definition print.h:156
Context for latex-parsable output.
Definition print.h:121
Context for python-parsable output.
Definition print.h:137
This class holds a relation consisting of two expressions and a logical relation between them.
Definition relational.h:34
Basic CAS symbol.
Definition symbol.h:38
Interface to sequences of expression pairs.
unsigned options
Definition factor.cpp:2473
size_t n
Definition factor.cpp:1431
size_t c
Definition factor.cpp:756
mvec m
Definition factor.cpp:757
Definition add.cpp:35
std::map< ex, ex, ex_is_less > exmap
Definition basic.h:49
std::vector< expair > epvector
expair-vector
Definition expairseq.h:32
epvector::iterator epp
expair-vector pointer
Definition expairseq.h:33
std::vector< ex > exvector
Definition basic.h:47
#define GINAC_DECLARE_REGISTERED_CLASS(classname, supername)
Macro for inclusion in the declaration of each registered class.
Definition registrar.h:151
To distinguish between different kinds of non-commutative objects.
Definition registrar.h:42

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