GiNaC 1.8.8
mul.h
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5/*
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22
23#ifndef GINAC_MUL_H
24#define GINAC_MUL_H
25
26#include "expairseq.h"
27
28namespace GiNaC {
29
31class mul : public expairseq
32{
34
35 friend class add;
36 friend class ncmul;
37 friend class power;
38
39 // other constructors
40public:
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);
48
49 // functions overriding virtual functions from base classes
50public:
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;
70protected:
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;
87
88 // new virtual functions which can be overridden by derived classes
89 // none
90
91 // non-virtual functions in this class
92public:
93 ex algebraic_subs_mul(const exmap & m, unsigned options) const;
94protected:
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;
103};
105
106} // namespace GiNaC
107
108#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:219
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:73
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:935
bool info(unsigned inf) const override
Information about the object.
Definition mul.cpp:271
ex real_part() const override
Definition mul.cpp:607
bool expair_needs_further_processing(epp it) override
Definition mul.cpp:1006
ex evalf() const override
Evaluate object numerically.
Definition mul.cpp:576
epvector expandchildren(unsigned options) const
Member-wise expand the expairs representing this sequence.
Definition mul.cpp:1257
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:385
return_type_t return_type_tinfo() const override
Definition mul.cpp:921
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:1029
void do_print_csrc(const print_csrc &c, unsigned level) const
Definition mul.cpp:207
unsigned return_type() const override
Definition mul.cpp:888
void do_print(const print_context &c, unsigned level) const
Definition mul.cpp:147
void do_print_python_repr(const print_python_repr &c, unsigned level) const
Definition mul.cpp:260
ex conjugate() const override
Definition mul.cpp:828
bool can_make_flat(const expair &p) const override
Definition mul.cpp:1049
ex imag_part() const override
Definition mul.cpp:614
expair combine_ex_with_coeff_to_pair(const ex &e, const ex &c) const override
Definition mul.cpp:955
void combine_overall_coeff(const ex &c) override
Definition mul.cpp:1034
int ldegree(const ex &s) const override
Return degree of lowest power in object s.
Definition mul.cpp:411
ex eval() const override
Perform automatic term rewriting rules in this class.
Definition mul.cpp:467
expair split_ex_to_pair(const ex &e) const override
Form an expair from an ex, using the corresponding semantics.
Definition mul.cpp:945
ex expand(unsigned options=0) const override
Expand expression, i.e.
Definition mul.cpp:1071
int degree(const ex &s) const override
Return degree of highest power in object s.
Definition mul.cpp:396
void do_print_latex(const print_latex &c, unsigned level) const
Definition mul.cpp:167
static bool can_be_further_expanded(const ex &e)
Definition mul.cpp:1057
ex derivative(const symbol &s) const override
Implementation of ex::diff() for a product.
Definition mul.cpp:862
void find_real_imag(ex &, ex &) const
Definition mul.cpp:586
ex coeff(const ex &s, int n=1) const override
Return coefficient of degree n in object s.
Definition mul.cpp:426
ex recombine_pair_to_ex(const expair &p) const override
Form an ex out of an expair, using the corresponding semantics.
Definition mul.cpp:998
ex evalm() const override
Evaluate sums, products and integer powers of matrices.
Definition mul.cpp:621
exvector get_free_indices() const override
Return a vector containing the free indices of an expression.
Definition indexed.cpp:480
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:125
expair combine_pair_with_coeff_to_pair(const expair &p, const ex &c) const override
Definition mul.cpp:975
ex algebraic_subs_mul(const exmap &m, unsigned options) const
Definition mul.cpp:769
ex eval_ncmul(const exvector &v) const override
Definition mul.cpp:659
bool has(const ex &other, unsigned options=0) const override
Test for occurrence of a pattern.
Definition mul.cpp:753
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:102
Base context for C source output.
Definition print.h:157
Context for latex-parsable output.
Definition print.h:122
Context for python-parsable output.
Definition print.h:138
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:2474
size_t n
Definition factor.cpp:1432
size_t c
Definition factor.cpp:757
mvec m
Definition factor.cpp:758
Definition add.cpp:36
std::map< ex, ex, ex_is_less > exmap
Definition basic.h:50
std::vector< expair > epvector
expair-vector
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:152
To distinguish between different kinds of non-commutative objects.
Definition registrar.h:43

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