Trap Class Template Reference

Class template calculates definite integrals for user-supplied functions using the first-order trapezoid rule. More...

#include <Intg.h>

Inherits Intg< xType, yType >.

Inheritance diagram for Trap:

[legend]List of all members.

Public Member Functions
	Trap (const Intg< xType, yType > &ig)
	Trap (const Trap &tr)
	Trap (yType(&rFn)(xType), xType dEps)
	~Trap (void)

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Detailed Description

template<typename xType, typename yType>
class calc::Trap< xType, yType >

Class template calculates definite integrals for user-supplied functions using the first-order trapezoid rule.

Successively smaller step-sizes are used within the integration interval, until an approximated error is acheived. The trapezoid rule curve-fits derivative evaluations with linear piece-wise equations (1st order polynomials), and integrates under the curve-fit.

The declaration typename <xType> specifies the form of independent variables used in integral calculations. The declaration typename <yType> specifies the form of solution variables used in integral calculations. In general, the <yType> variables should be the equal or superset of the <xType> variables.

Author

efgeorge

Date

2006/07/19 13:21:43

Revision

1.3

Examples:

example_Intg.txt.

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Constructor & Destructor Documentation

Trap	(	yType(&)(xType)	rFn,
		xType	dEps
	)

Constructor initializes a function integration object.

Parameters:

	rFn	a reference to an integrand evaluation function
	dEps	required error of the calculated integral (|y| units)

Remarks:

• The specified integration tolerance dEps must be greater than zero.
• The specified function rFn(x) calculates an integrand value given an independent variable value.
• The function rFn(x) accepts a single independent value (x units).
• The function rFn(x) returns a single valued integrand value (y units) at the specified point x.
• Function declaration: yType fn(xType x);

Trap

(

const Trap< xType, yType > &

tr

)

Copy constructor initializes a function integration object from the specified existing integration object.

Parameters:

tr

a reference to a function integration object

Trap

(

const Intg< xType, yType > &

ig

)

Copy constructor initializes a function integration object from the specified existing integration object.

Parameters:

ig

a reference to a function integration object

~Trap

(

void

)

Destructor is a place holder, no dynamic memory is allocated.

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The documentation for this class was generated from the following files:

• Intg.h
• Trap.cpp

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