Contains common mathematical functions and constants. More...

Collaboration diagram for makVrl.MathHelper:

Static Public Member Functions
static long	NextPowerOfTwo (long n)
	Returns the next power of two that is larger than the specified number.
static int	NextPowerOfTwo (int n)
	Returns the next power of two that is larger than the specified number.
static float	NextPowerOfTwo (float n)
	Returns the next power of two that is larger than the specified number.
static double	NextPowerOfTwo (double n)
	Returns the next power of two that is larger than the specified number.
static long	Factorial (int n)
	Calculates the factorial of a given natural number.
static long	BinomialCoefficient (int n, int k)
	Calculates the binomial coefficient n above k .
static float	InverseSqrtFast (float x)
	Returns an approximation of the inverse square root of left number.
static double	InverseSqrtFast (double x)
	Returns an approximation of the inverse square root of left number.
static float	DegreesToRadians (float degrees)
	Convert degrees to radians
static float	RadiansToDegrees (float radians)
	Convert radians to degrees
static double	DegreesToRadians (double degrees)
	Convert degrees to radians
static double	RadiansToDegrees (double radians)
	Convert radians to degrees
static void	Swap (ref double a, ref double b)
	Swaps two double values.
static void	Swap (ref float a, ref float b)
	Swaps two float values.
static double	ModPerZero (double x, double per)
static double	ModPerLo (double x, double min, double max)
static double	ModPerHi (double x, double min, double max)
static Vector3f	directedRotRateFromVec (Vector3f pqr, double theta)

Public Attributes
const float	Pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930382f
	Defines the value of Pi as a System.Single.
const float	PiOver2 = Pi / 2
	Defines the value of Pi divided by two as a System.Single.
const float	PiOver3 = Pi / 3
	Defines the value of Pi divided by three as a System.Single.
const float	PiOver4 = Pi / 4
	Definesthe value of Pi divided by four as a System.Single.
const float	PiOver6 = Pi / 6
	Defines the value of Pi divided by six as a System.Single.
const float	TwoPi = 2 * Pi
	Defines the value of Pi multiplied by two as a System.Single.
const float	ThreePiOver2 = 3 * Pi / 2
	Defines the value of Pi multiplied by 3 and divided by two as a System.Single.
const float	E = 2.71828182845904523536f
	Defines the value of E as a System.Single.
const float	Log10E = 0.434294482f
	Defines the base-10 logarithm of E.
const float	Log2E = 1.442695041f
	Defines the base-2 logarithm of E.

Detailed Description

Contains common mathematical functions and constants.

Member Function Documentation

static long makVrl.MathHelper.BinomialCoefficient	(	int	n,
		int	k
	)

inlinestatic

Calculates the binomial coefficient n above k .

Parameters

n	The n.
k	The k.

Returns: n! / (k! * (n - k)!)

References makVrl.MathHelper.Factorial().

static float makVrl.MathHelper.DegreesToRadians ( float degrees )

inlinestatic

Convert degrees to radians

Parameters

degrees An angle in degrees

Returns: The angle expressed in radians

Referenced by makVrl.UtmReferencePoint.geod2utm(), makVrl.TopographicCoord.getTaitBryan(), f18.VehicleSim.init(), talk_Sharp.talk.Main(), f18.f18.Main(), f18.VehicleSim.simTick(), and makVrl.UtmReferencePoint.utm2geod().

static double makVrl.MathHelper.DegreesToRadians ( double degrees )

inlinestatic

Convert degrees to radians

Parameters

degrees An angle in degrees

Returns: The angle expressed in radians

static Vector3f makVrl.MathHelper.directedRotRateFromVec	(	Vector3f	pqr,
		double	theta
	)

inlinestatic

Referenced by makVrl.DeadReckoner.setRotationalVelocity().

static long makVrl.MathHelper.Factorial ( int n )

inlinestatic

Calculates the factorial of a given natural number.

Parameters

n	The number.

Returns: n!

Referenced by makVrl.MathHelper.BinomialCoefficient().

static float makVrl.MathHelper.InverseSqrtFast ( float x )

inlinestatic

Returns an approximation of the inverse square root of left number.

Parameters

x A number.

Returns: An approximation of the inverse square root of the specified number, with an upper error bound of 0.001

This is an improved implementation of the the method known as Carmack's inverse square root which is found in the Quake III source code. This implementation comes from http://www.codemaestro.com/reviews/review00000105.html. For the history of this method, see http://www.beyond3d.com/content/articles/8/

Referenced by makVrl.MathHelper.InverseSqrtFast(), makVrl.Vector3f.NormalizeFast(), makVrl.Vector3d.NormalizeFast(), makVrl.Vector2.NormalizeFast(), makVrl.Vector4d.NormalizeFast(), makVrl.Vector4.NormalizeFast(), and makVrl.Vector2d.NormalizeFast().

static double makVrl.MathHelper.InverseSqrtFast ( double x )

inlinestatic

Returns an approximation of the inverse square root of left number.

Parameters

x A number.

Returns: An approximation of the inverse square root of the specified number, with an upper error bound of 0.001

This is an improved implementation of the the method known as Carmack's inverse square root which is found in the Quake III source code. This implementation comes from http://www.codemaestro.com/reviews/review00000105.html. For the history of this method, see http://www.beyond3d.com/content/articles/8/

References makVrl.MathHelper.InverseSqrtFast().

static double makVrl.MathHelper.ModPerHi	(	double	x,
		double	min,
		double	max
	)

inlinestatic

Referenced by makVrl.UtmReferencePoint.geod2utm().

static double makVrl.MathHelper.ModPerLo	(	double	x,
		double	min,
		double	max
	)

inlinestatic

static double makVrl.MathHelper.ModPerZero	(	double	x,
		double	per
	)

inlinestatic

Referenced by f18.VehicleSim.simTick().

static long makVrl.MathHelper.NextPowerOfTwo ( long n )

inlinestatic

Returns the next power of two that is larger than the specified number.

Parameters

n	The specified number.

Returns: The next power of two.

static int makVrl.MathHelper.NextPowerOfTwo ( int n )

inlinestatic

Returns the next power of two that is larger than the specified number.

Parameters

n	The specified number.

Returns: The next power of two.

static float makVrl.MathHelper.NextPowerOfTwo ( float n )

inlinestatic

Returns the next power of two that is larger than the specified number.

Parameters

n	The specified number.

Returns: The next power of two.

static double makVrl.MathHelper.NextPowerOfTwo ( double n )

inlinestatic

Returns the next power of two that is larger than the specified number.

Parameters

n	The specified number.

Returns: The next power of two.

static float makVrl.MathHelper.RadiansToDegrees ( float radians )

inlinestatic

Convert radians to degrees

Parameters

radians An angle in radians

Returns: The angle expressed in degrees

Referenced by makVrl.UtmReferencePoint.geod2utm(), and makVrl.UtmReferencePoint.utm2geod().

static double makVrl.MathHelper.RadiansToDegrees ( double radians )

inlinestatic

Convert radians to degrees

Parameters

radians An angle in radians

Returns: The angle expressed in degrees

static void makVrl.MathHelper.Swap	(	ref double	a,
		ref double	b
	)

inlinestatic

Swaps two double values.

Parameters

a	The first value.
b	The second value.

static void makVrl.MathHelper.Swap	(	ref float	a,
		ref float	b
	)

inlinestatic

Swaps two float values.

Parameters

a	The first value.
b	The second value.

Member Data Documentation

const float makVrl.MathHelper.E = 2.71828182845904523536f

Defines the value of E as a System.Single.

const float makVrl.MathHelper.Log10E = 0.434294482f

Defines the base-10 logarithm of E.

const float makVrl.MathHelper.Log2E = 1.442695041f

Defines the base-2 logarithm of E.

const float makVrl.MathHelper.Pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930382f

Defines the value of Pi as a System.Single.

const float makVrl.MathHelper.PiOver2 = Pi / 2

Defines the value of Pi divided by two as a System.Single.

Referenced by makVrl.ReferenceEllipsoid.rad_to_geo().

const float makVrl.MathHelper.PiOver3 = Pi / 3

Defines the value of Pi divided by three as a System.Single.

const float makVrl.MathHelper.PiOver4 = Pi / 4

Definesthe value of Pi divided by four as a System.Single.

const float makVrl.MathHelper.PiOver6 = Pi / 6

Defines the value of Pi divided by six as a System.Single.

const float makVrl.MathHelper.ThreePiOver2 = 3 * Pi / 2

Defines the value of Pi multiplied by 3 and divided by two as a System.Single.

const float makVrl.MathHelper.TwoPi = 2 * Pi

Defines the value of Pi multiplied by two as a System.Single.

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

MathHelper.cs

Static Public Member Functions

Public Attributes

Detailed Description

Member Function Documentation

Member Data Documentation