Bertini 2 d882924 (2026-10-06 19:56 UTC)
Numerical algebraic geometry library (C++ core)
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function_tree.hpp
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1//This file is part of Bertini 2.
2//
3//function_tree.hpp is free software: you can redistribute it and/or modify
4//it under the terms of the GNU General Public License as published by
5//the Free Software Foundation, either version 3 of the License, or
6//(at your option) any later version.
7//
8//function_tree.hpp is distributed in the hope that it will be useful,
9//but WITHOUT ANY WARRANTY; without even the implied warranty of
10//MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
11//GNU General Public License for more details.
12//
13//You should have received a copy of the GNU General Public License
14//along with function_tree.hpp. If not, see <http://www.gnu.org/licenses/>.
15//
16// Copyright(C) Bertini2 Development Team
17//
18// See <http://www.gnu.org/licenses/> for a copy of the license,
19// as well as COPYING. Bertini2 is provided with permitted
20// additional terms in the b2/licenses/ directory.
21
27
28
29#ifndef BERTINI_FUNCTION_TREE_HPP
30#define BERTINI_FUNCTION_TREE_HPP
31
32#include "bertini2/function_tree/node.hpp"
33
34#include "bertini2/function_tree/operators/operator.hpp"
35
36#include "bertini2/function_tree/operators/arithmetic.hpp"
37#include "bertini2/function_tree/operators/trig.hpp"
38
39
40#include "bertini2/function_tree/symbols/symbol.hpp"
41#include "bertini2/function_tree/symbols/variable.hpp"
42#include "bertini2/function_tree/symbols/number.hpp"
43#include "bertini2/function_tree/symbols/special_number.hpp"
44
45#include "bertini2/function_tree/roots/named_expression.hpp"
46
47#include "bertini2/function_tree/simplify.hpp"
48
49#include "bertini2/function_tree/gather.hpp"
50
51
52
53
54BOOST_CLASS_EXPORT_KEY(bertini::node::Node)
55
56BOOST_SERIALIZATION_ASSUME_ABSTRACT(bertini::node::Node)
57
58
59BOOST_CLASS_EXPORT_KEY(bertini::node::Symbol)
60BOOST_CLASS_EXPORT_KEY(bertini::node::NamedSymbol)
61BOOST_CLASS_EXPORT_KEY(bertini::node::Number)
62
63
64BOOST_SERIALIZATION_ASSUME_ABSTRACT(bertini::node::Symbol)
65BOOST_SERIALIZATION_ASSUME_ABSTRACT(bertini::node::NamedSymbol)
66BOOST_SERIALIZATION_ASSUME_ABSTRACT(bertini::node::Number)
67
68
69BOOST_CLASS_EXPORT_KEY(bertini::node::Variable)
70BOOST_CLASS_EXPORT_KEY(bertini::node::Differential)
71
72BOOST_CLASS_EXPORT_KEY(bertini::node::Complex)
73BOOST_CLASS_EXPORT_KEY(bertini::node::Integer)
74BOOST_CLASS_EXPORT_KEY(bertini::node::Rational)
75
76BOOST_CLASS_EXPORT_KEY(bertini::node::special_number::Pi)
77BOOST_CLASS_EXPORT_KEY(bertini::node::special_number::E)
78
79BOOST_CLASS_EXPORT_KEY(bertini::node::NamedExpression)
80
81BOOST_CLASS_EXPORT_KEY(bertini::node::SinOperator)
82BOOST_CLASS_EXPORT_KEY(bertini::node::ArcSinOperator)
83BOOST_CLASS_EXPORT_KEY(bertini::node::CosOperator)
84BOOST_CLASS_EXPORT_KEY(bertini::node::ArcCosOperator)
85BOOST_CLASS_EXPORT_KEY(bertini::node::TanOperator)
86BOOST_CLASS_EXPORT_KEY(bertini::node::ArcTanOperator)
87
88
89BOOST_CLASS_EXPORT_KEY(bertini::node::SumOperator)
90BOOST_CLASS_EXPORT_KEY(bertini::node::NegateOperator)
91BOOST_CLASS_EXPORT_KEY(bertini::node::MultOperator)
92BOOST_CLASS_EXPORT_KEY(bertini::node::PowerOperator)
93BOOST_CLASS_EXPORT_KEY(bertini::node::IntegerPowerOperator)
94BOOST_CLASS_EXPORT_KEY(bertini::node::SqrtOperator)
95BOOST_CLASS_EXPORT_KEY(bertini::node::ExpOperator)
96BOOST_CLASS_EXPORT_KEY(bertini::node::LogOperator)
97
98
99
100
101
102
103BOOST_CLASS_TRACKING(bertini::node::Node, track_always)
104
105BOOST_CLASS_TRACKING(bertini::node::Symbol, boost::serialization::track_always)
106BOOST_CLASS_TRACKING(bertini::node::NamedSymbol, boost::serialization::track_always)
107BOOST_CLASS_TRACKING(bertini::node::Number, boost::serialization::track_always)
108
109
110BOOST_CLASS_TRACKING(bertini::node::Variable, boost::serialization::track_always)
111BOOST_CLASS_TRACKING(bertini::node::Differential, boost::serialization::track_always)
112
113BOOST_CLASS_TRACKING(bertini::node::Complex, boost::serialization::track_always)
114BOOST_CLASS_TRACKING(bertini::node::Integer, boost::serialization::track_always)
115BOOST_CLASS_TRACKING(bertini::node::Rational, boost::serialization::track_always)
116
117BOOST_CLASS_TRACKING(bertini::node::special_number::Pi, boost::serialization::track_always)
118BOOST_CLASS_TRACKING(bertini::node::special_number::E, boost::serialization::track_always)
119
120BOOST_CLASS_TRACKING(bertini::node::NamedExpression, boost::serialization::track_always)
121
122BOOST_CLASS_TRACKING(bertini::node::SinOperator, boost::serialization::track_always)
123BOOST_CLASS_TRACKING(bertini::node::ArcSinOperator, boost::serialization::track_always)
124BOOST_CLASS_TRACKING(bertini::node::CosOperator, boost::serialization::track_always)
125BOOST_CLASS_TRACKING(bertini::node::ArcCosOperator, boost::serialization::track_always)
126BOOST_CLASS_TRACKING(bertini::node::TanOperator, boost::serialization::track_always)
127BOOST_CLASS_TRACKING(bertini::node::ArcTanOperator, boost::serialization::track_always)
128
129
130BOOST_CLASS_TRACKING(bertini::node::SumOperator, boost::serialization::track_always)
131BOOST_CLASS_TRACKING(bertini::node::NegateOperator, boost::serialization::track_always)
132BOOST_CLASS_TRACKING(bertini::node::MultOperator, boost::serialization::track_always)
133BOOST_CLASS_TRACKING(bertini::node::PowerOperator, boost::serialization::track_always)
134BOOST_CLASS_TRACKING(bertini::node::IntegerPowerOperator, boost::serialization::track_always)
135BOOST_CLASS_TRACKING(bertini::node::SqrtOperator, boost::serialization::track_always)
136BOOST_CLASS_TRACKING(bertini::node::ExpOperator, boost::serialization::track_always)
137
138
139
140
141
142#endif
arithmetic.hpp
Provides the artithmetic Node types, such as Sum and Power.
bertini::node::ArcCosOperator
Provides the arc cosine Operator.
Definition trig.hpp:264
bertini::node::ArcSinOperator
Provides the inverse sine Operator.
Definition trig.hpp:139
bertini::node::ArcTanOperator
Provides the inverse tangent Operator.
Definition trig.hpp:391
bertini::node::Complex
A complex-number literal node in an expression tree.
Definition number.hpp:254
bertini::node::CosOperator
Provides the cosine Operator.
Definition trig.hpp:202
bertini::node::Differential
Provides the differential type for differentiation of expression trees.
Definition differential.hpp:52
bertini::node::ExpOperator
represents the exponential function
Definition arithmetic.hpp:914
bertini::node::IntegerPowerOperator
This class represents the exponentiation Operator.
Definition arithmetic.hpp:709
bertini::node::Integer
Signed real Integer storage in an expression tree.
Definition number.hpp:143
bertini::node::LogOperator
represents the natural logarithm function
Definition arithmetic.hpp:971
bertini::node::MultOperator
Multiplication and division Operator.
Definition arithmetic.hpp:379
bertini::node::NamedExpression
A user-named expression — the surviving, immutable entry point into a subtree.
Definition named_expression.hpp:50
bertini::node::NamedSymbol
Symbols which have names are named symbols.
Definition symbol.hpp:121
bertini::node::NegateOperator
The negation Operator.
Definition arithmetic.hpp:271
bertini::node::Node
An interface for all nodes in a function tree, and for a function object as well.
Definition node.hpp:114
bertini::node::Number
Abstract Number type from which other Numbers derive.
Definition number.hpp:50
bertini::node::PowerOperator
Operator for power functions with arbitrary expressions in the exponent and base.
Definition arithmetic.hpp:559
bertini::node::Rational
The Rational number type for Bertini2 expression trees.
Definition number.hpp:379
bertini::node::SinOperator
Provides the sine Operator.
Definition trig.hpp:80
bertini::node::SqrtOperator
Represents the square root Operator.
Definition arithmetic.hpp:847
bertini::node::SumOperator
Represents summation and difference Operator.
Definition arithmetic.hpp:70
bertini::node::Symbol
Abstract symbol class.
Definition symbol.hpp:47
bertini::node::TanOperator
Provides the tangent Operator.
Definition trig.hpp:332
bertini::node::Variable
Represents variable leaves in the function tree.
Definition variable.hpp:48
bertini::node::special_number::E
The number .
Definition special_number.hpp:115
bertini::node::special_number::Pi
The number .
Definition special_number.hpp:55
gather.hpp
Free functions for discovering the variables appearing in a function tree.
named_expression.hpp
A user-named expression node: prints as its name, evaluates to its expression.
node.hpp
Defines the abstract Node base class.
number.hpp
Provides the Number Node types, including Rational, Complex, and Integer.
operator.hpp
Provides the abstract Operator Node type.
simplify.hpp
simplification methods for nodal functions
special_number.hpp
Provides the special numbers , , 1, 2, 0, as Nodes.
symbol.hpp
Defines the abstract Symbol and NamedSymbol classes,.
trig.hpp
Provides the abstract TrigOperator, and the concrete types such as SinOperator.
variable.hpp
Provides the Variable Node class.