Catalano.Math

Class Approximation

java.lang.Object

Catalano.Math.Approximation

public final class Approximation
extends java.lang.Object

Calculate approximations for common math operations.

Method Summary

Modifier and Type	Method and Description
static int	abs(int x) Calculate absolute number.
static long	abs(long x) Calculate absolute number.
static double	atan2(double y, double x) Returns the angle theta from the conversion of rectangular coordinates (x, y) to polar coordinates (r, theta).
static double	Highprecision_Exp(double x) Calculate Exp.
static double	Highprecision_Pow(double x, double y) Calculate Pow.
static double	Highprecision_Sin(double x) Calculate Sin using Quadratic curve.
static double	Lowprecision_Log(double x) Calculate Pow.
static double	Lowprecision_Pow(double x, double y) Calculate Pow.
static double	Lowprecision_Sin(double x) Calculate Sin using Quadratic curve.

Methods inherited from class java.lang.Object

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

Method Detail

abs

public static int abs(int x)

Calculate absolute number.

Parameters:

x - Number.

Returns:

Abs(x).

abs

public static long abs(long x)

Calculate absolute number.

Parameters:

x - Number.

Returns:

Abs(x).

Highprecision_Pow

public static double Highprecision_Pow(double x,
                                       double y)

Calculate Pow. The pow is calculate following the formula: Formula: Exp(y * Log(x))

Parameters:

x - The base.

y - The exponent.

Returns:

Lowprecision_Pow

public static double Lowprecision_Pow(double x,
                                      double y)

Calculate Pow. The pow is calculate following the formula: Formula: Highprecision_Exp(y * Log(x))

Parameters:

x - The base.

y - The exponent.

Returns:

Highprecision_Exp

public static double Highprecision_Exp(double x)

Calculate Exp. Exp by Taylor series (9).

Parameters:

x - Value.

Returns:

Exponential.

Lowprecision_Log

public static double Lowprecision_Log(double x)

Calculate Pow. The exp is calculate following the formula: 6*(x-1) / (x + 1 + 4*(Sqrt(x)));

Parameters:

x - Value.

Returns:

Lowprecision_Sin

public static double Lowprecision_Sin(double x)

Calculate Sin using Quadratic curve.

Parameters:

x - An angle, in radians.

Returns:

Result.

Highprecision_Sin

public static double Highprecision_Sin(double x)

Calculate Sin using Quadratic curve.

Parameters:

x - An angle, in radians.

Returns:

Result.

atan2

public static double atan2(double y,
                           double x)

Returns the angle theta from the conversion of rectangular coordinates (x, y) to polar coordinates (r, theta). This method computes the phase theta by computing an arc tangent of y/x in the range of -pi to pi.

Parameters:

y - Y axis coordinate.

x - X axis coordinate.

Returns:

The theta component of the point (r, theta) in polar coordinates that corresponds to the point (x, y) in Cartesian coordinates.