HyperPlaneParam.h

Classes

HyperPlaneParam -- Parameter handling for a hyper plane function. (full description)

template<class T> class HyperPlaneParam : public Function<T>

Interface

Public Members

explicit HyperPlaneParam(uInt m=0)

HyperPlaneParam(const HyperPlaneParam &other)

HyperPlaneParam<T> &operator=(const HyperPlaneParam<T> &other)

virtual ~HyperPlaneParam()

Bool operator==(const HyperPlaneParam<T> &other) const

Bool operator!=(const HyperPlaneParam<T> &other) const

virtual uInt ndim() const

Description

Review Status

Reviewed By:

wbrouw

Date Reviewed:

2004/05/25

Programs:

Tests:

tHyperPlane

Prerequisite

FunctionParam class
Function class

Synopsis

This class forms a function of the form f(x₀,x₁,..,x_m-1) = p₀*x₀ + p₁*x₁ + ... + p_m-1*x_m-1, where p_i are coefficients (parameters) and x_i are independent arguments.

f(x₀,x₁,..,x_m-1) represents a hyper plane of dimension m.

Since the HyperPlane is a Function, the derivatives can be obtained as well.

The parameter interface (see FunctionParam class), is used to provide an interface to the Fitting classes.

This class is in general used implicitly by the HyperPlane class only.

Example

    // form the hyper plane function of this form: 
    // 6*x0 + 2*x3 
     HyperPlane<Double> hyper(4); // 4-dim hyperplane
     hyper.parameters()[0] = 6;   
     hyper.parameters()[3] = 2;
     // Evaluate at x0=5, x3=7
     Vector<Double> x(4);
     x=0; x[0]=5; x[3]=7;
     cout << "Hypervalue: " << hyper(x) << endl;
     Hypervalue: 44

Template Type Argument Requirements (T)

T should have standard numerical operators and exp() function. Current implementation only tested for real types (and their AutoDiffs).

Thrown Exceptions

Assertion in debug mode if attempt is made to set a negative width
AipsError if incorrect parameter number specified.

Motivation

This class was created to facilitate linear constraint functions for the use of least-squares fits.

To Do

Nothing I know of

Member Description

explicit HyperPlaneParam(uInt m=0)

Construct an m-dimensional hyper plane which has m parameters. By default, the coefficients are initialized to zero. The default plane has m=0

HyperPlaneParam(const HyperPlaneParam &other)

Copy constructor (deep copy)

HyperPlaneParam<T> &operator=(const HyperPlaneParam<T> &other)

Copy assignment (deep copy)

virtual ~HyperPlaneParam()

Destructor

Bool operator==(const HyperPlaneParam<T> &other) const
Bool operator!=(const HyperPlaneParam<T> &other) const

Comparisons. HyperPlanes are equal if they are of the same order and have the same parameters

virtual uInt ndim() const

What is the dimension of the parameter list