The graph of a function. More...

Inheritance diagram for Graph:

Public Member Functions
virtual double	getSum ()
	Sum of elements. More...

Graph &	multiply (double d)
	Multiply with a scalar. More...

Graph &	add (double d)
	Add a scalar. More...

Graph &	exp ()
	Exponential. More...

Graph &	sqrt ()
	Sqare root for each element. More...

Graph &	integrate ()
	Integrate. More...

Graph &	differentiate ()
	Differentiate. More...

Graph &	inverse ()
	Calculate the inverse. More...

void	sortX (int start=0, int end=-1)
	Sort the points according to the x values. More...

Public Member Functions inherited from Matrix
	Matrix ()
	default constructor: constructs a zero-dimensional matrix (a scalar).

	Matrix (int i)
	constructs a one-dimensional matrix

	Matrix (int i, int j)
	constructs a two-dimensional matrix

	Matrix (int i, int j, int k)
	constructs a three-dimensional matrix

	Matrix (int i, int j, int k, int l)
	constructs a four-dimensional matrix

	Matrix (int dimensions, int *sizes)
	constructs an n-dimensional matrix

virtual	~Matrix ()
	destructs the matrix

Matrix &	setName (const string &)
	set name

string	sName ()
	get name

int	nDimension ()
	Get number of dimensions.

int	nSize (int n)
	Get size for dimension.

Unit	getUnit (int n)
	Unit of dimension n.

void	setPhysical (int n, Physical p)
	Set physical dimension of dimension n. More...

void	setPhysical (Physical p)
	Set main physical dimension. More...

Physical	pPhysical (int n)
	Get physical dimension for dimension n. More...

Matrix	operator[] (int i)
	retrieve slices or values More...

Matrix &	remove (vector< int >)
	remove one or more dimensions More...

void	operator++ (int i)
	increment a zero-dimensional matrix

void	operator= (double d)
	assignment More...

Matrix &	operator+= (const Matrix &)
	addings More...

Matrix	operator() (int i, int j)
	retrieve ranges - not implemented yet! More...

double	to_d ()
	convert to double More...

double	getMaxValue ()
	get maximal value

double	getMinValue ()
	get minimal value

void	replaceNan (double d)
	Replaces NaNs. More...

Matrix &	transpose ()
	Transpose matrix. More...

Matrix &	operator= (const Matrix &m)
	assignment

	Matrix (const Matrix &m)
	Copy constructor. More...

Public Member Functions inherited from Physical
	Physical ()
	Construct.

	Physical (const Physical &)
	Copy.

	Physical (string name)
	Construct.

	Physical (string name, string unitPrefix, string unitSymbol)
	Construct.

	Physical (string name, Unit unit)
	Construct.

virtual string	getDescription ()
	Retrive the physical name. More...

virtual string	getPhysicalDescription ()
	Returns the physical description. More...

virtual string	getUnitName ()
	Returns the unit name.

virtual string	getUnitSymbol ()
	Returns the unit name.

virtual void	setDescription (string name)
	Set the name. More...

virtual void	setPhysicalDescription (string name)
	Set the name. Same as setDescription(). More...

virtual void	setUnit (Unit u)
	Set the unit.

virtual void	setUnitPrefix (int n)
	Set unit prefix. More...

virtual Unit	getUnit () const
	Retrieve the unit.

Detailed Description

The graph of a function.

A graph is the set of points p, with p = f(a), a element A, where A is the domain of f. This class is a matrix (containing a numerical representation of the graph) with dimension n+1, where n is the number of inputs to f. It is organized so that file << graph appends gnuplot-plottable matrix notation to 'file'. If used as a matrix, you have (for a function with one parameter) graph[i] is the i'th data point, and graph[i][0] is the input a_i, and graph[i][1] is the output f(a_i). The main difference to the normal matrix class is that all mathematical operations (integrate, differentiate, multiply, etc.) only work on the output values (i.e. on graph[..][1]).

Todo:: Only two-dimensional graphs are implemented yet. Change this.

Member Function Documentation

Graph& Graph::add ( double d )

inlinevirtual

Add a scalar.

Adds a scalar to each element of the graph. A reference to the graph itself is returned for convenience, so that you can write things like m.add( a ).multiply( b )

Reimplemented from Matrix.

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Graph& Graph::differentiate ( )

inlinevirtual

Differentiate.

This function differentiates over the last dimension of the graph. A difference-graph is produced, where m'[0] = 0.0, m'[1] = m[1]-m[0], m'[n] = m[n]-m[n-1]. Doing this on an integrated graph, m.integrate().differentiate(), restores the original graph, but m[0] will be lost (set to 0.0).

Reimplemented from Matrix.

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Graph& Graph::exp ( )

inlinevirtual

Exponential.

Transforms each element into its exponential. A reference to the graph itself is returned for convenience, so that you can write things like m.exp().multipliy( a ).add( b )

Reimplemented from Matrix.

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virtual double Graph::getSum ( )

inlinevirtual

Sum of elements.

This returns a sum of all elements.

Reimplemented from Matrix.

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Graph& Graph::integrate ( )

inlinevirtual

Integrate.

This function integrates over the last dimension of the graph. A cumulative sum is produced, where m'[0] = m[0], m'[1] = m[0]+m[1], m'[n] = m[0] + m[1] + ... + m[n]. Doing this on a differentiated graph, m.differentiate().integrate(), retrieves the original graph, shifted so that m[0] = 0.0, and adding the original m[0] restores the original graph.

Reimplemented from Matrix.

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Graph& Graph::inverse ( )

inline

Calculate the inverse.

This function just swaps x and y of the graph, and calls sortX() so that all x values are in ascending order afterwards.

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Graph& Graph::multiply ( double d )

inlinevirtual

Multiply with a scalar.

Multiplies the graph with a scalar. A reference to the graph itself is returned for convenience, so that you can write things like m.multipliy(3).add(4)

Reimplemented from Matrix.

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void Graph::sortX	(	int	start = `0`,
		int	end = `-1`
	)

inline

Sort the points according to the x values.

This function is used by the inverse() function, after swapping x and y. It sorts all points of the graph, so that the x values of all points will be in ascending order. The currently implemented method is merge sort.

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Graph& Graph::sqrt ( )

inlinevirtual

Sqare root for each element.

Transforms each element into its square root. A reference to the graph itself is returned for convenience, so that you can write things like m.sqrt().multipliy( a ).add( b )

Reimplemented from Matrix.

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Public Member Functions

Detailed Description

Member Function Documentation