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;
}