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 user-created 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 3-dimensional space. This implementation supplies common mathematical operations on points.
- Power
-
The power operator.
- Root
-
The n-th 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.