Islope.h File Reference

#include "interval.h"
#include <stdlib.h>
#include <iostream>

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Classes
class	Islope
	Class for computing intervalslopes up to order 2. More...
Typedefs
typedef interval	I
Functions
Islope	operator+ (const Islope &a, const Islope &b)
Islope	operator+ (const double &a, const Islope &b)
Islope	operator+ (const Islope &a, const double &b)
Islope	operator- (const Islope &a, const Islope &b)
Islope	operator- (const double &a, const Islope &b)
Islope	operator- (const Islope &a, const double &b)
Islope	operator- (const Islope &a)
Islope	operator* (const Islope &a, const Islope &b)
Islope	operator* (const double &a, const Islope &b)
Islope	operator* (const Islope &a, const double &b)
Islope	operator/ (const Islope &a, const Islope &b)
Islope	operator/ (const double &a, const Islope &b)
Islope	operator/ (const Islope &a, const double &b)
std::ostream &	operator<< (std::ostream &s, const Islope &a)
Islope	exp (const Islope &a)
Islope	sin (const Islope &a)
Islope	cos (const Islope &a)
Islope	sqrt (const Islope &a)
Islope	power (const Islope &a, int n)
Islope	log (const Islope &a)
Islope	atan (const Islope &a)
Islope	atan2 (const Islope &a, const Islope &b)

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Typedef Documentation

typedef interval I

Definition at line 10 of file Islope.h.

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Function Documentation

Islope atan

(

const Islope &

a

)

[inline]

Used to compute the slope for the function atan(x) for a given x.

Definition at line 1658 of file Islope.h.

Islope atan2	(	const Islope &	a,
		const Islope &	b
	)			[inline]

Used to compute the slope for the function atan2(x) for a given x.

Definition at line 1747 of file Islope.h.

Islope cos

(

const Islope &

a

)

[inline]

Used to compute the slope for the function cos(x) for a given x.

Definition at line 1090 of file Islope.h.

Islope exp

(

const Islope &

a

)

[inline]

Used to compute the slope for the function exp(x) for a given x.

Definition at line 796 of file Islope.h.

Islope log

(

const Islope &

a

)

[inline]

Used to compute the slope for the function log(x) for a given x.

Definition at line 1573 of file Islope.h.

Islope operator*	(	const Islope &	a,
		const double &	b
	)			[inline]

Operator *. Multiplicates slope a with double b.

Definition at line 695 of file Islope.h.

Islope operator*	(	const double &	a,
		const Islope &	b
	)			[inline]

Operator *. Multiplicates double a with slope b.

Definition at line 668 of file Islope.h.

Islope operator*	(	const Islope &	a,
		const Islope &	b
	)			[inline]

Operator *. Multiplicates slope a with slope b.

Definition at line 632 of file Islope.h.

Islope operator+	(	const Islope &	a,
		const double &	b
	)			[inline]

Opertor +. Adds slope a and double b.

Definition at line 488 of file Islope.h.

Islope operator+	(	const double &	a,
		const Islope &	b
	)			[inline]

Opertor +. Adds slope b and double a.

Definition at line 461 of file Islope.h.

Islope operator+	(	const Islope &	a,
		const Islope &	b
	)			[inline]

Opertor +. Adds slope a and b.

Definition at line 425 of file Islope.h.

Islope operator-

(

const Islope &

a

)

[inline]

Operator -. Changes sign of slope a.

Definition at line 605 of file Islope.h.

Islope operator-	(	const Islope &	a,
		const double &	b
	)			[inline]

Operator -. Subtracts double b from slope a.

Definition at line 578 of file Islope.h.

Islope operator-	(	const double &	a,
		const Islope &	b
	)			[inline]

Operator -. Subtracts slope b from daouble a.

Definition at line 551 of file Islope.h.

Islope operator-	(	const Islope &	a,
		const Islope &	b
	)			[inline]

Operator -. Subtracts slope b from slope a.

Definition at line 515 of file Islope.h.

Islope operator/	(	const Islope &	a,
		const double &	b
	)			[inline]

Operator /. Divides the slope a by double b.

Definition at line 769 of file Islope.h.

Islope operator/	(	const double &	a,
		const Islope &	b
	)			[inline]

Operator /. Divides the double a by slope b.

Definition at line 722 of file Islope.h.

Islope operator/	(	const Islope &	a,
		const Islope &	b
	)			[inline]

Operator /. Divides the slope a by slope b.

Definition at line 737 of file Islope.h.

std::ostream & operator<<	(	std::ostream &	s,
		const Islope &	a
	)			[inline]

The operator for ouput. Shows the range of the function, the functionvalue of the middle point and the slopeinterval. If the slope has order 2 the functionvalue of the first derivative of the function at the middlepoint and the slopeinterval of order 2 are also shown.

Definition at line 1761 of file Islope.h.

Islope power	(	const Islope &	a,
		int	n
	)			[inline]

Used to compute the slope for the function power(x,n) for a given x.

Definition at line 1345 of file Islope.h.

Islope sin

(

const Islope &

a

)

[inline]

Used to compute the slope for the function sin(x) for a given x.

Definition at line 877 of file Islope.h.

Islope sqrt

(

const Islope &

a

)

[inline]

Used to compute the slope for the function sqrt(x) for a given x.

Definition at line 1303 of file Islope.h.