Detailed Description

template<typename NUMERIC_TYPE>
class MathLib::LinearIntervalInterpolation< NUMERIC_TYPE >

Class (template) LinearIntervalInterpolation is a functional object performing an interval mapping \(f: [a,b] \to [c,d]\).

Input numeric type has to be a floating point type and must behave well under the operations addition, subtraction, multiplication and division. Let \(a, b, c, d\) objects supporting the mentioned operations. Under the condition \(a \neq b\) an instance of the class computes a value within the interval \([c, d]\), i.e., \(f: [a,b] \to [c,d]\).

Definition at line 32 of file LinearIntervalInterpolation.h.

#include <LinearIntervalInterpolation.h>

Public Member Functions
	LinearIntervalInterpolation (NUMERIC_TYPE a, NUMERIC_TYPE b, NUMERIC_TYPE c, NUMERIC_TYPE d)

NUMERIC_TYPE	operator() (NUMERIC_TYPE x) const

Private Attributes
NUMERIC_TYPE	m_

NUMERIC_TYPE	n_

Constructor & Destructor Documentation

◆ LinearIntervalInterpolation()

template<typename NUMERIC_TYPE >

MathLib::LinearIntervalInterpolation< NUMERIC_TYPE >::LinearIntervalInterpolation	(	NUMERIC_TYPE	a,
		NUMERIC_TYPE	b,
		NUMERIC_TYPE	c,
		NUMERIC_TYPE	d )

Constructor of class template for a linear map \(y = m \cdot x + n\). Under the prerequisite \(a \neq b\) it initializes the coefficients \(m\) and \(n\) in a correct way.

Parameters

a	first endpoint of the first interval
b	second endpoint of the first interval
c	first endpoint of the second interval
d	second endpoint of the second interval

Definition at line 64 of file LinearIntervalInterpolation.h.

    : m_(d - c), n_(0.0)
{
    if (b == a) {
        OGS_FATAL("LinearIntervalInterpolation::LinearIntervalInterpolation: a == b, empty interval");
    }
    m_ /= (b - a);
    n_ = c - m_ * a;
}