com.kodeblox

Class NumericalMethodsFunctions

java.lang.Object

com.kodeblox.NumericalMethodsFunctions

public class NumericalMethodsFunctions
extends Object

Constructor Summary

Constructors

Constructor and Description
NumericalMethodsFunctions()

Method Summary

Methods

Modifier and Type	Method and Description
static BigDecimal	arccosCompute(BigDecimal value, MathContext mc) Calculates the arccosine of a value in radians using arctan of the value.
static BigDecimal	arcsinCompute(BigDecimal value, MathContext mc) Calculates the arcsine of a value in radians using arctan of the value.
static BigDecimal	arctanTaylorSeries(BigDecimal value, MathContext mc) Calculates the arctangent of a value in radians using Taylor series expansion.
static BigDecimal	cosTaylorSeries(BigDecimal angle, MathContext mc) Calculates the cosine of an angle in radians using Taylor series expansion.
protected static BigDecimal	expTaylorSeries(BigDecimal exponent, MathContext mc) Calculates eexponent using Taylor series expansion.
protected static BigDecimal	lnNewtonRaphson(BigDecimal value, MathContext mc) Calculates loge value using the Newton-Raphson method.
protected static BigDecimal	rootNewtonRaphson(BigDecimal base, long exponent, MathContext mc) Calculates the exponentth root of base using Newton-Raphson method.
protected static BigDecimal	sinTaylorSeries(BigDecimal angle, MathContext mc) Calculates the sine of an angle in radians using Taylor series expansion.
protected static BigDecimal	sqrtNewtonRaphson(BigDecimal value, MathContext mc) Calculates the square root of value using Newton-Raphson.
static BigDecimal	tanCompute(BigDecimal angle, MathContext mc) Calculates the tangent of an angle in radians using values for sine and cosine.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

NumericalMethodsFunctions

public NumericalMethodsFunctions()

Method Detail

expTaylorSeries

protected static BigDecimal expTaylorSeries(BigDecimal exponent,
                         MathContext mc)

Calculates eexponent using Taylor series expansion. The result is rounded according to the passed context mc. One must give values close to 1 for exponent, otherwise the series may not converge.

Parameters:

exponent - the value to which e is raised.

mc - rounding mode and precision for the result of this operation.

Returns:

eexponent

lnNewtonRaphson

protected static BigDecimal lnNewtonRaphson(BigDecimal value,
                         MathContext mc)

Calculates loge value using the Newton-Raphson method. The result is rounded according to the passed context mc.

Parameters:

value - calculates log of this value.

mc - rounding mode and precision for the result of this operation.

Returns:

loge value

rootNewtonRaphson

protected static BigDecimal rootNewtonRaphson(BigDecimal base,
                           long exponent,
                           MathContext mc)

Calculates the exponentth root of base using Newton-Raphson method. The result is rounded according to the passed context mc.

Parameters:

base - the number to be rooted.

exponent - the order of rooting

mc - rounding mode and precision for the result of this operation.

Returns:

base(1/exponent)

sinTaylorSeries

protected static BigDecimal sinTaylorSeries(BigDecimal angle,
                         MathContext mc)

Calculates the sine of an angle in radians using Taylor series expansion. The result is rounded according to the passed context mc.

Parameters:

angle - the angle in radians.

mc - rounding mode and precision for the result of this operation.

Returns:

sin (angle)

sqrtNewtonRaphson

protected static BigDecimal sqrtNewtonRaphson(BigDecimal value,
                           MathContext mc)

Calculates the square root of value using Newton-Raphson. The result is rounded according to the passed context mc.

Parameters:

value - the number to be rooted.

mc - rounding mode and precision for the result of this operation.

Returns:

value(1/2)

cosTaylorSeries

public static BigDecimal cosTaylorSeries(BigDecimal angle,
                         MathContext mc)

Calculates the cosine of an angle in radians using Taylor series expansion. The result is rounded according to the passed context mc.

Parameters:

angle - the angle in radians.

mc - rounding mode and precision for the result of this operation.

Returns:

cos (angle)

tanCompute

public static BigDecimal tanCompute(BigDecimal angle,
                    MathContext mc)

Calculates the tangent of an angle in radians using values for sine and cosine. The result is rounded according to the passed context mc.

Parameters:

angle - the angle in radians.

mc - rounding mode and precision for the result of this operation.

Returns:

tan (angle)

arcsinCompute

public static BigDecimal arcsinCompute(BigDecimal value,
                       MathContext mc)

Calculates the arcsine of a value in radians using arctan of the value. The result is rounded according to the passed context mc.

Parameters:

value - the number whose arcsine is to be found.

mc - rounding mode and precision for the result of this operation.

Returns:

sin-1(value)

arccosCompute

public static BigDecimal arccosCompute(BigDecimal value,
                       MathContext mc)

Calculates the arccosine of a value in radians using arctan of the value. The result is rounded according to the passed context mc.

Parameters:

value - the number whose arccosine is to be found.

mc - rounding mode and precision for the result of this operation.

Returns:

cos-1(value)

arctanTaylorSeries

public static BigDecimal arctanTaylorSeries(BigDecimal value,
                            MathContext mc)

Calculates the arctangent of a value in radians using Taylor series expansion. The result is rounded according to the passed context mc.

Parameters:

value - the number whose arctangent is to be found.

mc - rounding mode and precision for the result of this operation.

Returns:

tan-1(value)