Class MathHelper

Math helper functions.

Inheritance

object

MathHelper

Inherited Members

object.Equals(object)

object.Equals(object, object)

object.GetHashCode()

object.GetType()

object.MemberwiseClone()

object.ReferenceEquals(object, object)

object.ToString()

Namespace: Evergine.Mathematics

Assembly: Evergine.Mathematics.dll

Syntax

public static class MathHelper

Fields

E

Represents the mathematical constant e.

Declaration

public const float E = 2.7182817

Field Value

Type	Description
float

Epsilon

The epsilon.

Declaration

public const float Epsilon = 1.1920929E-07

Field Value

Type	Description
float

Log10E

Represents the log base ten of e.

Declaration

public const float Log10E = 0.4342945

Field Value

Type	Description
float

Log2E

Represents the log base two of e.

Declaration

public const float Log2E = 1.442695

Field Value

Type	Description
float

Pi

Represents the value of pi.

Declaration

public const float Pi = 3.1415927

Field Value

Type	Description
float

PiOver2

Represents the value of pi divided by two.

Declaration

public const float PiOver2 = 1.5707964

Field Value

Type	Description
float

PiOver4

Represents the value of pi divided by four.

Declaration

public const float PiOver4 = 0.7853982

Field Value

Type	Description
float

TwoPi

Represents the value of pi times two.

Declaration

public const float TwoPi = 6.2831855

Field Value

Type	Description
float

Properties

SimdType

Gets the type of SIMD instructions used.

Declaration

public static MathSimdType SimdType { get; }

Property Value

Type	Description
MathSimdType

Methods

Area(ref Vector2, ref Vector2, ref Vector2)

Linearly interpolates between value1 and value2 by amount. The parameter amount is not clamped and values outside the range [0, 1] will result in a return value outside the range [value1, value2]. Returns a positive number if c is to the left of the line going from a to b.

Declaration

public static float Area(ref Vector2 a, ref Vector2 b, ref Vector2 c)

Parameters

Type	Name	Description
Vector2	a	The first vector.
Vector2	b	The second vector.
Vector2	c	The third vector.

Returns

Type	Description
float	Positive number if point is left, negative if point is right, and 0 if points are collinear.

Barycentric(float, float, float, float, float)

Returns the Cartesian coordinate for one axis of a point that is defined by a given triangle and two normalized barycentric (areal) coordinates.

Declaration

public static float Barycentric(float value1, float value2, float value3, float amount1, float amount2)

Parameters

Type	Name	Description
float	value1	The coordinate on one axis of vertex 1 of the defining triangle.
float	value2	The coordinate on the same axis of vertex 2 of the defining triangle.
float	value3	The coordinate on the same axis of vertex 3 of the defining triangle.
float	amount1	The normalized barycentric (areal) coordinate b2, equal to the weighting factor for vertex 2, the coordinate of which is specified in value2.
float	amount2	The normalized barycentric (areal) coordinate b3, equal to the weighting factor for vertex 3, the coordinate of which is specified in value3.

Returns

Type	Description
float	Cartesian coordinate of the specified point with respect to the axis being used.

CatmullRom(float, float, float, float, float)

Performs a Catmull-Rom interpolation using the specified positions.

Declaration

public static float CatmullRom(float value1, float value2, float value3, float value4, float amount)

Parameters

Type	Name	Description
float	value1	The first position in the interpolation.
float	value2	The second position in the interpolation.
float	value3	The third position in the interpolation.
float	value4	The fourth position in the interpolation.
float	amount	Weighting factor.

Returns

Type	Description
float	A position that is the result of the Catmull-Rom interpolation.

Clamp(float, float, float)

Clamps a value between a minimum float and maximum float value.

Declaration

public static float Clamp(float value, float min, float max)

Parameters

Type	Name	Description
float	value	The value.
float	min	The minimum value. If value is less than min, min will be returned.
float	max	The maximum value. If value is greater than max, max will be returned.

Returns

Type	Description
float	The clamped value.

Distance(float, float)

Calculates the absolute value of the difference of two values.

Declaration

public static float Distance(float value1, float value2)

Parameters

Type	Name	Description
float	value1	Source value1.
float	value2	Source value2.

Returns

Type	Description
float	Distance between the two values.

DivideByMultiple(uint, uint)

Divide value by alignment to get the minimum multiple higher than the value.

Declaration

public static uint DivideByMultiple(uint value, uint alignment)

Parameters

Type	Name	Description
uint	value	The value to divide.
uint	alignment	The alignment.

Returns

Type	Description
uint	The multiply value.

FloatEquals(float, float)

Checks if a floating point Value is equal to another, within a certain tolerance.

Declaration

public static bool FloatEquals(float value1, float value2)

Parameters

Type	Name	Description
float	value1	The first floating point Value.
float	value2	The second floating point Value.

Returns

Type	Description
bool	True if the values are "equal", false otherwise.

FloatEquals(float, float, float)

Checks if a floating point Value is equal to another, within a certain tolerance.

Declaration

public static bool FloatEquals(float value1, float value2, float delta)

Parameters

Type	Name	Description
float	value1	The first floating point Value.
float	value2	The second floating point Value.
float	delta	The floating point tolerance.

Returns

Type	Description
bool	True if the values are "equal", false otherwise.

FloatInRange(float, float, float)

Checks if a floating point Value is within a specified range of values (inclusive).

Declaration

public static bool FloatInRange(float value, float min, float max)

Parameters

Type	Name	Description
float	value	The Value to check.
float	min	The minimum Value.
float	max	The maximum Value.

Returns

Type	Description
bool	True if the Value is within the range specified, false otherwise.

Hermite(float, float, float, float, float)

Performs a Hermite spline interpolation.

Declaration

public static float Hermite(float value1, float tangent1, float value2, float tangent2, float amount)

Parameters

Type	Name	Description
float	value1	Source value1.
float	tangent1	Source tangent1.
float	value2	Source value2.
float	tangent2	Source tangent2.
float	amount	Weighting factor.

Returns

Type	Description
float	The result of the Hermite spline interpolation.

InverseLerp(float, float, float)

Calculates the linear parameter amount that produces the interpolant value within the range [value1, value2].

Declaration

public static float InverseLerp(float value1, float value2, float value)

Parameters

Type	Name	Description
float	value1	Source value1.
float	value2	Source value2.
float	value	Interpolant value.

Returns

Type	Description
float	The linear parameter amount.

Lerp(float, float, float)

Lerps the specified value1.

Declaration

public static float Lerp(float value1, float value2, float amount)

Parameters

Type	Name	Description
float	value1	The value1.
float	value2	The value2.
float	amount	The amount.

Returns

Type	Description
float	Interpolated value.

Examples

When amount = 0 returns value1. When amount = 1 return value2. When amount = 0.5 returns the midpoint of value1 and value2.

LerpClamped(float, float, float)

Linearly interpolates between value1 and value2 by amount. The parameter amount is clamped to the range [0, 1].

Declaration

public static float LerpClamped(float value1, float value2, float amount)

Parameters

Type	Name	Description
float	value1	Source value1.
float	value2	Source value2.
float	amount	Value between 0 and 1 indicating the weight of value2.

Returns

Type	Description
float	Interpolated value.

Examples

When amount = 0 returns value1. When amount = 1 return value2. When amount = 0.5 returns the midpoint of value1 and value2.

Max(ref Vector2)

Returns the greater of two Vector2 components.

Declaration

public static float Max(ref Vector2 value)

Parameters

Type	Name	Description
Vector2	value	Source value.

Returns

Type	Description
float	The greater value.

Max(ref Vector3)

Returns the greater of three Vector3 components.

Declaration

public static float Max(ref Vector3 value)

Parameters

Type	Name	Description
Vector3	value	Source vector.

Returns

Type	Description
float	The greater value.

Max(int, int)

Returns the greater of two int values.

Declaration

public static int Max(int value1, int value2)

Parameters

Type	Name	Description
int	value1	Source value1.
int	value2	Source value2.

Returns

Type	Description
int	The greater value.

Max(float, float)

Returns the greater of two float values.

Declaration

public static float Max(float value1, float value2)

Parameters

Type	Name	Description
float	value1	Source value1.
float	value2	Source value2.

Returns

Type	Description
float	The greater value.

Min(ref Vector2)

Returns the lesser of two Vector2 components.

Declaration

public static float Min(ref Vector2 value)

Parameters

Type	Name	Description
Vector2	value	Source value.

Returns

Type	Description
float	The lesser value.

Min(ref Vector3)

Returns the lesser of three Vector3 components.

Declaration

public static float Min(ref Vector3 value)

Parameters

Type	Name	Description
Vector3	value	Source vector.

Returns

Type	Description
float	The lesser value.

Min(float, float)

Returns the lesser of two or more values.

Declaration

public static float Min(float value1, float value2)

Parameters

Type	Name	Description
float	value1	Source value1.
float	value2	Source value2.

Returns

Type	Description
float	The lesser value.

NextPowerOfTwo(int)

Return the next power of two value of the specified argument.

Declaration

public static int NextPowerOfTwo(int v)

Parameters

Type	Name	Description
int	v	The value.

Returns

Type	Description
int	The next power of two.

NextPowerOfTwo(ulong)

Return the next power of two value of the specified argument.

Declaration

public static ulong NextPowerOfTwo(ulong v)

Parameters

Type	Name	Description
ulong	v	The value.

Returns

Type	Description
ulong	The next power of two.

SmoothDamp(float, float, ref float, float, float)

Changes a float value towards a desired goal over time.

Declaration

public static float SmoothDamp(float current, float target, ref float currentVelocity, float smoothTime, float gameTime)

Parameters

Type	Name	Description
float	current	The current value.
float	target	The target value.
float	currentVelocity	The current velocity.
float	smoothTime	The time it will take to reach the target.
float	gameTime	The current game time (time between last frame).

Returns

Type	Description
float	The smooth value.

SmoothStep(float, float, float)

Interpolates between two values using a cubic equation.

Declaration

public static float SmoothStep(float value1, float value2, float amount)

Parameters

Type	Name	Description
float	value1	Source value1.
float	value2	Source value2.
float	amount	Weighting value.

Returns

Type	Description
float	Interpolated value.

ToDegrees(double)

Converts radians to degrees.

Declaration

public static float ToDegrees(double radians)

Parameters

Type	Name	Description
double	radians	The angle in radians.

Returns

Type	Description
float	The angle in degrees.

ToDegrees(float)

Converts radians to degrees.

Declaration

public static float ToDegrees(float radians)

Parameters

Type	Name	Description
float	radians	The angle in radians.

Returns

Type	Description
float	The angle in degrees.

ToRadians(double)

Converts degrees to radians.

Declaration

public static float ToRadians(double degrees)

Parameters

Type	Name	Description
double	degrees	The angle in degrees..

Returns

Type	Description
float	The angle in radians.

ToRadians(float)

Converts degrees to radians.

Declaration

public static float ToRadians(float degrees)

Parameters

Type	Name	Description
float	degrees	The angle in degrees.

Returns

Type	Description
float	The angle in radians.

WrapAngle(float)

Reduces a given angle to a value between π and -π.

Declaration

public static float WrapAngle(float angle)

Parameters

Type	Name	Description
float	angle	The angle to reduce, in radians.

Returns

Type	Description
float	The new angle, in radians.