math_expressions library
A math library for parsing and evaluating expressions in real, interval and vector contexts. It also supports simplification and differentiation of expressions.
The libary supports the three basic data types Number, Interval and Vector. It includes a Parser to create Expressions from Strings.
Classes
 Abs
 The absolute value function.
 BinaryOperator
 A binary operator takes two expressions and performs an operation on them.
 BoundVariable
 A bound variable is an anonymous variable, e.g. a variable without name, which is bound to an expression.
 CompositeFunction
 A composition of two given MathFunctions.
 ContextModel
 The context model keeps track of all known variables and functions. [...]
 Cos
 The cosine function.
 CustomFunction
 Any usercreated function is a CustomFunction.
 DefaultFunction

A default function is predefined in this library.
It contains no expression, because the appropriate
Evaluator
knows how to handle them. [...]  Divide
 The divide operator performs a division.
 EvaluationType
 Mathematical expressions must be evaluated under a certain EvaluationType. [...]
 Exponential
 The exponential function.
 Expression
 Any Expression supports basic mathematical operations like addition, subtraction, multiplication, division, power and negate. [...]
 Interval
 An Interval is defined by its minimum and maximum values, where min <= max. [...]
 IntervalLiteral
 An interval literal.
 Lexer
 The lexer creates tokens (see TokenType and Token) from an input string. The input string is expected to be in infix notation form. The lexer can convert an infix stream into a postfix stream (Reverse Polish Notation) for further processing by a Parser.
 Literal
 A literal can be a number, a constant or a variable.
 Ln
 The natural logarithm (log based e).
 Log
 The logarithm function.
 MathFunction
 A function with an arbitrary number of arguments. [...]
 Minus
 The minus operator performs a subtraction.
 Number
 A number is a constant number literal.
 Parser
 The Parser creates a mathematical Expression from a given input string. [...]
 Plus
 The plus operator performs an addition.
 Point3D
 A point in 3dimensional space. This implementation supplies common mathematical operations on points.
 Power
 The power operator.
 Root
 The nth root function. n needs to be a natural number. [...]
 Sgn
 The sign function.
 Sin
 The sine function.
 Sqrt
 The square root function.
 Tan
 The tangens function.
 Times
 The times operator performs a multiplication.
 Token
 A Token consists of text and has a TokenType.
 TokenType
 A token type. Access token types via the static fields. [...]
 UnaryMinus
 The unary minus negates its argument.
 UnaryOperator
 A unary operator takes one argument and performs an operation on it.
 Variable
 A variable is a named literal.
 Vector
 A vector of arbitrary size.