Struct Vector3d

Represents a 3D vector using three double-precision floating-point numbers.

Implements
Inherited Members
Namespace: OpenTK.Mathematics
Assembly: OpenTK.Mathematics.dll
Syntax
[Serializable]
public struct Vector3d : IEquatable<Vector3d>, IFormattable, IAdditionOperators<Vector3d, Vector3d, Vector3d>, ISubtractionOperators<Vector3d, Vector3d, Vector3d>, IUnaryNegationOperators<Vector3d, Vector3d>, IUnaryPlusOperators<Vector3d, Vector3d>, IMultiplyOperators<Vector3d, double, Vector3d>, IMultiplyOperators<Vector3d, Vector3d, Vector3d>, IMultiplyOperators<Vector3d, Matrix3x2d, Vector2d>, IMultiplyOperators<Vector3d, Matrix3d, Vector3d>, IMultiplyOperators<Vector3d, Matrix3x4d, Vector4d>, IDivisionOperators<Vector3d, double, Vector3d>, IDivisionOperators<Vector3d, Vector3d, Vector3d>, IEqualityOperators<Vector3d, Vector3d, bool>, IAdditiveIdentity<Vector3d, Vector3d>, IMultiplicativeIdentity<Vector3d, Vector3d>, IMinMaxValue<Vector3d>

Constructors

Vector3d(Vector2d, double)

Initializes a new instance of the Vector3d struct.

Declaration
public Vector3d(Vector2d xy, double z = 0)
Parameters
Type Name Description
Vector2d xy

The x and y components of the Vector3d.
double z

The z component of the Vector3d.

Vector3d(double)

Initializes a new instance of the Vector3d struct.

Declaration
public Vector3d(double value)
Parameters
Type Name Description
double value

The value that will initialize this instance.

Vector3d(double, double, double)

Initializes a new instance of the Vector3d struct.

Declaration
public Vector3d(double x, double y, double z)
Parameters
Type Name Description
double x

The x component of the Vector3d.
double y

The y component of the Vector3d.
double z

The z component of the Vector3d.

Fields

NegativeInfinity

Defines an instance with all components set to negative infinity.

Declaration
public static readonly Vector3d NegativeInfinity
Field Value
Type Description
Vector3d

One

Defines an instance with all components set to 1.

Declaration
public static readonly Vector3d One
Field Value
Type Description
Vector3d

PositiveInfinity

Defines an instance with all components set to positive infinity.

Declaration
public static readonly Vector3d PositiveInfinity
Field Value
Type Description
Vector3d

SizeInBytes

Defines the size of the Vector3d struct in bytes.

Declaration
public static readonly int SizeInBytes
Field Value
Type Description
int

UnitX

Defines a unit-length Vector3d that points towards the X-axis.

Declaration
public static readonly Vector3d UnitX
Field Value
Type Description
Vector3d

UnitY

Defines a unit-length Vector3d that points towards the Y-axis.

Declaration
public static readonly Vector3d UnitY
Field Value
Type Description
Vector3d

UnitZ

Defines a unit-length Vector3d that points towards the Z-axis.

Declaration
public static readonly Vector3d UnitZ
Field Value
Type Description
Vector3d

X

The X component of the Vector3.

Declaration
public double X
Field Value
Type Description
double

Y

The Y component of the Vector3.

Declaration
public double Y
Field Value
Type Description
double

Z

The Z component of the Vector3.

Declaration
public double Z
Field Value
Type Description
double

Zero

Defines an instance with all components set to 0.

Declaration
public static readonly Vector3d Zero
Field Value
Type Description
Vector3d

Properties

AdditiveIdentity

Gets the additive identity of Vector3d. Equivalent to Vector3d.Zero.

Declaration
public static Vector3d AdditiveIdentity { get; }
Property Value
Type Description
Vector3d

this[int]

Gets or sets the value at the index of the Vector.

Declaration
public double this[int index] { readonly get; set; }
Parameters
Type Name Description
int index

The index of the component from the Vector.
Property Value
Type Description
double
Exceptions
Type Condition
IndexOutOfRangeException

Thrown if the index is less than 0 or greater than 2.

Length

Gets the length (magnitude) of the vector.

Declaration
public readonly double Length { get; }
Property Value
Type Description
double
See Also

LengthFast

Gets an approximation of the vector length (magnitude).

Declaration
public readonly double LengthFast { get; }
Property Value
Type Description
double
Remarks

This property uses an approximation of the square root function to calculate vector magnitude.

See Also

LengthSquared

Gets the square of the vector length (magnitude).

Declaration
public readonly double LengthSquared { get; }
Property Value
Type Description
double
Remarks

This property avoids the costly square root operation required by the Length property. This makes it more suitable for comparisons.

See Also

MaxValue

Gets the max value for Vector3d. Equivalent to Vector3d.PositiveInfinity.

Declaration
public static Vector3d MaxValue { get; }
Property Value
Type Description
Vector3d

MinValue

Gets the min value for Vector3d. Equivalent to Vector3d.NegativeInfinity.

Declaration
public static Vector3d MinValue { get; }
Property Value
Type Description
Vector3d

MultiplicativeIdentity

Gets the multiplicative identity of Vector3d. Equivalent to Vector3d.One.

Declaration
public static Vector3d MultiplicativeIdentity { get; }
Property Value
Type Description
Vector3d

ReciprocalLengthFast

Gets an approximation of 1 over the length (magnitude) of the vector.

Declaration
public readonly double ReciprocalLengthFast { get; }
Property Value
Type Description
double

Xy

Gets or sets an OpenTK.Vector2d with the X and Y components of this instance.

Declaration
public Vector2d Xy { readonly get; set; }
Property Value
Type Description
Vector2d

Xz

Gets or sets an OpenTK.Vector2d with the X and Z components of this instance.

Declaration
public Vector2d Xz { readonly get; set; }
Property Value
Type Description
Vector2d

Xzy

Gets or sets an OpenTK.Vector3d with the X, Z, and Y components of this instance.

Declaration
public Vector3d Xzy { readonly get; set; }
Property Value
Type Description
Vector3d

Yx

Gets or sets an OpenTK.Vector2d with the Y and X components of this instance.

Declaration
public Vector2d Yx { readonly get; set; }
Property Value
Type Description
Vector2d

Yxz

Gets or sets an OpenTK.Vector3d with the Y, X, and Z components of this instance.

Declaration
public Vector3d Yxz { readonly get; set; }
Property Value
Type Description
Vector3d

Yz

Gets or sets an OpenTK.Vector2d with the Y and Z components of this instance.

Declaration
public Vector2d Yz { readonly get; set; }
Property Value
Type Description
Vector2d

Yzx

Gets or sets an OpenTK.Vector3d with the Y, Z, and X components of this instance.

Declaration
public Vector3d Yzx { readonly get; set; }
Property Value
Type Description
Vector3d

Zx

Gets or sets an OpenTK.Vector2d with the Z and X components of this instance.

Declaration
public Vector2d Zx { readonly get; set; }
Property Value
Type Description
Vector2d

Zxy

Gets or sets an OpenTK.Vector3d with the Z, X, and Y components of this instance.

Declaration
public Vector3d Zxy { readonly get; set; }
Property Value
Type Description
Vector3d

Zy

Gets or sets an OpenTK.Vector2d with the Z and Y components of this instance.

Declaration
public Vector2d Zy { readonly get; set; }
Property Value
Type Description
Vector2d

Zyx

Gets or sets an OpenTK.Vector3d with the Z, Y, and X components of this instance.

Declaration
public Vector3d Zyx { readonly get; set; }
Property Value
Type Description
Vector3d

Methods

Abs()

Returns a new vector that is the component-wise absolute value of the vector.

Declaration
public readonly Vector3d Abs()
Returns
Type Description
Vector3d

The component-wise absolute value vector.

Abs(Vector3d)

Take the component-wise absolute value of a vector.

Declaration
public static Vector3d Abs(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The vector to apply component-wise absolute value to.
Returns
Type Description
Vector3d

The component-wise absolute value vector.

Abs(in Vector3d, out Vector3d)

Take the component-wise absolute value of a vector.

Declaration
public static void Abs(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to apply component-wise absolute value to.
Vector3d result

The component-wise absolute value vector.

Add(Vector3d, Vector3d)

Adds two vectors.

Declaration
[Pure]
public static Vector3d Add(Vector3d a, Vector3d b)
Parameters
Type Name Description
Vector3d a

Left operand.
Vector3d b

Right operand.
Returns
Type Description
Vector3d

Result of operation.

Add(in Vector3d, in Vector3d, out Vector3d)

Adds two vectors.

Declaration
public static void Add(in Vector3d a, in Vector3d b, out Vector3d result)
Parameters
Type Name Description
Vector3d a

Left operand.
Vector3d b

Right operand.
Vector3d result

Result of operation.

BaryCentric(Vector3d, Vector3d, Vector3d, double, double)

Interpolate 3 Vectors using Barycentric coordinates.

Declaration
[Pure]
public static Vector3d BaryCentric(Vector3d a, Vector3d b, Vector3d c, double u, double v)
Parameters
Type Name Description
Vector3d a

First input Vector.
Vector3d b

Second input Vector.
Vector3d c

Third input Vector.
double u

First Barycentric Coordinate.
double v

Second Barycentric Coordinate.
Returns
Type Description
Vector3d

a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise.

BaryCentric(in Vector3d, in Vector3d, in Vector3d, double, double, out Vector3d)

Interpolate 3 Vectors using Barycentric coordinates.

Declaration
[Pure]
public static void BaryCentric(in Vector3d a, in Vector3d b, in Vector3d c, double u, double v, out Vector3d result)
Parameters
Type Name Description
Vector3d a

First input Vector.
Vector3d b

Second input Vector.
Vector3d c

Third input Vector.
double u

First Barycentric Coordinate.
double v

Second Barycentric Coordinate.
Vector3d result

Output Vector. a when u=v=0, b when u=1,v=0, c when u=0,v=1, and a linear combination of a,b,c otherwise.

CalculateAngle(Vector3d, Vector3d)

Calculates the angle (in radians) between two vectors.

Declaration
[Pure]
public static double CalculateAngle(Vector3d first, Vector3d second)
Parameters
Type Name Description
Vector3d first

The first vector.
Vector3d second

The second vector.
Returns
Type Description
double

Angle (in radians) between the vectors.
Remarks

Note that the returned angle is never bigger than the constant Pi.

CalculateAngle(in Vector3d, in Vector3d, out double)

Calculates the angle (in radians) between two vectors.

Declaration
public static void CalculateAngle(in Vector3d first, in Vector3d second, out double result)
Parameters
Type Name Description
Vector3d first

The first vector.
Vector3d second

The second vector.
double result

Angle (in radians) between the vectors.
Remarks

Note that the returned angle is never bigger than the constant Pi.

Ceiling()

Returns a new vector were a component-wise ceiling operation has been applied. Equivalent to calling Ceiling(double) on each component.

Declaration
public readonly Vector3d Ceiling()
Returns
Type Description
Vector3d

The ceiled vector.

Ceiling(Vector3d)

Component-wise ceiling operation. Equivalent to calling Ceiling(double) on each component.

Declaration
[Pure]
public static Vector3d Ceiling(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The vector to take the ceiling of.
Returns
Type Description
Vector3d

The component-wise ceiling vector.

Ceiling(in Vector3d, out Vector3d)

Component-wise ceiling operation. Equivalent to calling Ceiling(double) on each component.

Declaration
public static void Ceiling(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to take the ceiling of.
Vector3d result

The component-wise ceiling vector.

Clamp(Vector3d, Vector3d, Vector3d)

Clamp a vector to the given minimum and maximum vectors.

Declaration
[Pure]
public static Vector3d Clamp(Vector3d vec, Vector3d min, Vector3d max)
Parameters
Type Name Description
Vector3d vec

Input vector.
Vector3d min

Minimum vector.
Vector3d max

Maximum vector.
Returns
Type Description
Vector3d

The clamped vector.

Clamp(in Vector3d, in Vector3d, in Vector3d, out Vector3d)

Clamp a vector to the given minimum and maximum vectors.

Declaration
public static void Clamp(in Vector3d vec, in Vector3d min, in Vector3d max, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

Input vector.
Vector3d min

Minimum vector.
Vector3d max

Maximum vector.
Vector3d result

The clamped vector.

ComponentEqual(in Vector3d, in Vector3d)

Component wise equal comparision of two vectors.

Declaration
public static Vector3b ComponentEqual(in Vector3d left, in Vector3d right)
Parameters
Type Name Description
Vector3d left

The left vector.
Vector3d right

The right vector.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is equal to the right component.

ComponentMax(Vector3d, Vector3d)

Returns a vector created from the largest of the corresponding components of the given vectors.

Declaration
[Pure]
public static Vector3d ComponentMax(Vector3d a, Vector3d b)
Parameters
Type Name Description
Vector3d a

First operand.
Vector3d b

Second operand.
Returns
Type Description
Vector3d

The component-wise maximum.

ComponentMax(in Vector3d, in Vector3d, out Vector3d)

Returns a vector created from the largest of the corresponding components of the given vectors.

Declaration
public static void ComponentMax(in Vector3d a, in Vector3d b, out Vector3d result)
Parameters
Type Name Description
Vector3d a

First operand.
Vector3d b

Second operand.
Vector3d result

The component-wise maximum.

ComponentMin(Vector3d, Vector3d)

Returns a vector created from the smallest of the corresponding components of the given vectors.

Declaration
[Pure]
public static Vector3d ComponentMin(Vector3d a, Vector3d b)
Parameters
Type Name Description
Vector3d a

First operand.
Vector3d b

Second operand.
Returns
Type Description
Vector3d

The component-wise minimum.

ComponentMin(in Vector3d, in Vector3d, out Vector3d)

Returns a vector created from the smallest of the corresponding components of the given vectors.

Declaration
public static void ComponentMin(in Vector3d a, in Vector3d b, out Vector3d result)
Parameters
Type Name Description
Vector3d a

First operand.
Vector3d b

Second operand.
Vector3d result

The component-wise minimum.

ComponentNotEqual(in Vector3d, in Vector3d)

Component wise not equal comparision of two vectors.

Declaration
public static Vector3b ComponentNotEqual(in Vector3d left, in Vector3d right)
Parameters
Type Name Description
Vector3d left

The left vector.
Vector3d right

The right vector.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is not equal to the right component.

Cross(Vector3d, Vector3d)

Caclulate the cross (vector) product of two vectors.

Declaration
[Pure]
public static Vector3d Cross(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

First operand.
Vector3d right

Second operand.
Returns
Type Description
Vector3d

The cross product of the two inputs.

Cross(in Vector3d, in Vector3d, out Vector3d)

Caclulate the cross (vector) product of two vectors.

Declaration
public static void Cross(in Vector3d left, in Vector3d right, out Vector3d result)
Parameters
Type Name Description
Vector3d left

First operand.
Vector3d right

Second operand.
Vector3d result

The cross product of the two inputs.

Deconstruct(out double, out double, out double)

Deconstructs the vector into it's individual components.

Declaration
[Pure]
public readonly void Deconstruct(out double x, out double y, out double z)
Parameters
Type Name Description
double x

The X component of the vector.
double y

The Y component of the vector.
double z

The Z component of the vector.

Distance(Vector3d, Vector3d)

Compute the euclidean distance between two vectors.

Declaration
[Pure]
public static double Distance(Vector3d vec1, Vector3d vec2)
Parameters
Type Name Description
Vector3d vec1

The first vector.
Vector3d vec2

The second vector.
Returns
Type Description
double

The distance.

Distance(in Vector3d, in Vector3d, out double)

Compute the euclidean distance between two vectors.

Declaration
public static void Distance(in Vector3d vec1, in Vector3d vec2, out double result)
Parameters
Type Name Description
Vector3d vec1

The first vector.
Vector3d vec2

The second vector.
double result

The distance.

DistanceSquared(Vector3d, Vector3d)

Compute the squared euclidean distance between two vectors.

Declaration
[Pure]
public static double DistanceSquared(Vector3d vec1, Vector3d vec2)
Parameters
Type Name Description
Vector3d vec1

The first vector.
Vector3d vec2

The second vector.
Returns
Type Description
double

The squared distance.

DistanceSquared(in Vector3d, in Vector3d, out double)

Compute the squared euclidean distance between two vectors.

Declaration
public static void DistanceSquared(in Vector3d vec1, in Vector3d vec2, out double result)
Parameters
Type Name Description
Vector3d vec1

The first vector.
Vector3d vec2

The second vector.
double result

The squared distance.

Divide(Vector3d, Vector3d)

Divides a vector by the components of a vector (scale).

Declaration
[Pure]
public static Vector3d Divide(Vector3d vector, Vector3d scale)
Parameters
Type Name Description
Vector3d vector

Left operand.
Vector3d scale

Right operand.
Returns
Type Description
Vector3d

Result of the operation.

Divide(Vector3d, double)

Divides a vector by a scalar.

Declaration
[Pure]
public static Vector3d Divide(Vector3d vector, double scale)
Parameters
Type Name Description
Vector3d vector

Left operand.
double scale

Right operand.
Returns
Type Description
Vector3d

Result of the operation.

Divide(in Vector3d, in Vector3d, out Vector3d)

Divide a vector by the components of a vector (scale).

Declaration
public static void Divide(in Vector3d vector, in Vector3d scale, out Vector3d result)
Parameters
Type Name Description
Vector3d vector

Left operand.
Vector3d scale

Right operand.
Vector3d result

Result of the operation.

Divide(in Vector3d, double, out Vector3d)

Divides a vector by a scalar.

Declaration
public static void Divide(in Vector3d vector, double scale, out Vector3d result)
Parameters
Type Name Description
Vector3d vector

Left operand.
double scale

Right operand.
Vector3d result

Result of the operation.

Dot(Vector3d, Vector3d)

Calculate the dot (scalar) product of two vectors.

Declaration
[Pure]
public static double Dot(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

First operand.
Vector3d right

Second operand.
Returns
Type Description
double

The dot product of the two inputs.

Dot(in Vector3d, in Vector3d, out double)

Calculate the dot (scalar) product of two vectors.

Declaration
public static void Dot(in Vector3d left, in Vector3d right, out double result)
Parameters
Type Name Description
Vector3d left

First operand.
Vector3d right

Second operand.
double result

The dot product of the two inputs.

Elerp(Vector3d, Vector3d, double)

Returns a new vector that is the exponential interpolation of the two vectors. Equivalent to a * pow(b/a, t).

Declaration
public static Vector3d Elerp(Vector3d a, Vector3d b, double t)
Parameters
Type Name Description
Vector3d a

The starting value. Must be non-negative.
Vector3d b

The end value. Must be non-negative.
double t

The blend factor.
Returns
Type Description
Vector3d

The exponential interpolation between a and b.
See Also

Elerp(in Vector3d, in Vector3d, double, out Vector3d)

Returns a new vector that is the exponential interpolation of the two vectors. Equivalent to a * pow(b/a, t).

Declaration
public static void Elerp(in Vector3d a, in Vector3d b, double t, out Vector3d result)
Parameters
Type Name Description
Vector3d a

The starting value. Must be non-negative.
Vector3d b

The end value. Must be non-negative.
double t

The blend factor.
Vector3d result

The exponential interpolation between a and b.
See Also

Equals(Vector3d)

Indicates whether the current object is equal to another object of the same type.

Declaration
public readonly bool Equals(Vector3d other)
Parameters
Type Name Description
Vector3d other

An object to compare with this object.
Returns
Type Description
bool

true if the current object is equal to the other parameter; otherwise, false.

Equals(object)

Indicates whether this instance and a specified object are equal.

Declaration
public override readonly bool Equals(object obj)
Parameters
Type Name Description
object obj

The object to compare with the current instance.
Returns
Type Description
bool

true if obj and this instance are the same type and represent the same value; otherwise, false.
Overrides

Floor()

Returns a new vector were a component-wise floor operation has been applied. Equivalent to calling Floor(double) on each component.

Declaration
public readonly Vector3d Floor()
Returns
Type Description
Vector3d

The floored vector.

Floor(Vector3d)

Component-wise floor operation. Equivalent to calling Floor(double) on each component.

Declaration
[Pure]
public static Vector3d Floor(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The vector to take the floor of.
Returns
Type Description
Vector3d

The component-wise floored vector.

Floor(in Vector3d, out Vector3d)

Component-wise floor operation. Equivalent to calling Floor(double) on each component.

Declaration
public static void Floor(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to take the floor of.
Vector3d result

The component-wise floored vector.

GetHashCode()

Returns the hash code for this instance.

Declaration
public override readonly int GetHashCode()
Returns
Type Description
int

A 32-bit signed integer that is the hash code for this instance.
Overrides

GreaterThan(in Vector3d, in Vector3d)

Component wise greater than comparision of two vectors.

Declaration
public static Vector3b GreaterThan(in Vector3d left, in Vector3d right)
Parameters
Type Name Description
Vector3d left

The left vector.
Vector3d right

The right vector.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is greater than the right component.

GreaterThanOrEqual(in Vector3d, in Vector3d)

Component wise greater than or equal comparision of two vectors.

Declaration
public static Vector3b GreaterThanOrEqual(in Vector3d left, in Vector3d right)
Parameters
Type Name Description
Vector3d left

The left vector.
Vector3d right

The right vector.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is greater than or equal to the right component.

Lerp(Vector3d, Vector3d, Vector3d)

Returns a new vector that is the component-wise linear blend of the 2 given vectors.

Declaration
[Pure]
public static Vector3d Lerp(Vector3d a, Vector3d b, Vector3d blend)
Parameters
Type Name Description
Vector3d a

First input vector.
Vector3d b

Second input vector.
Vector3d blend

The blend factor.
Returns
Type Description
Vector3d

a when blend=0, b when blend=1, and a component-wise linear combination otherwise.

Lerp(Vector3d, Vector3d, double)

Returns a new vector that is the linear blend of the 2 given vectors.

Declaration
[Pure]
public static Vector3d Lerp(Vector3d a, Vector3d b, double blend)
Parameters
Type Name Description
Vector3d a

First input vector.
Vector3d b

Second input vector.
double blend

The blend factor.
Returns
Type Description
Vector3d

a when blend=0, b when blend=1, and a linear combination otherwise.

Lerp(in Vector3d, in Vector3d, Vector3d, out Vector3d)

Returns a new vector that is the component-wise linear blend of the 2 given vectors.

Declaration
public static void Lerp(in Vector3d a, in Vector3d b, Vector3d blend, out Vector3d result)
Parameters
Type Name Description
Vector3d a

First input vector.
Vector3d b

Second input vector.
Vector3d blend

The blend factor.
Vector3d result

a when blend=0, b when blend=1, and a component-wise linear combination otherwise.

Lerp(in Vector3d, in Vector3d, double, out Vector3d)

Returns a new vector that is the linear blend of the 2 given vectors.

Declaration
public static void Lerp(in Vector3d a, in Vector3d b, double blend, out Vector3d result)
Parameters
Type Name Description
Vector3d a

First input vector.
Vector3d b

Second input vector.
double blend

The blend factor.
Vector3d result

a when blend=0, b when blend=1, and a linear combination otherwise.

LessThan(in Vector3d, in Vector3d)

Component wise less than comparision of two vectors.

Declaration
public static Vector3b LessThan(in Vector3d left, in Vector3d right)
Parameters
Type Name Description
Vector3d left

The left vector.
Vector3d right

The right vector.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than the right component.

LessThanOrEqual(in Vector3d, in Vector3d)

Component wise less than or equal comparision of two vectors.

Declaration
public static Vector3b LessThanOrEqual(in Vector3d left, in Vector3d right)
Parameters
Type Name Description
Vector3d left

The left vector.
Vector3d right

The right vector.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than or equal to the right component.

MagnitudeMax(Vector3d, Vector3d)

Returns the Vector3d with the minimum magnitude.

Declaration
[Pure]
public static Vector3d MagnitudeMax(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

Left operand.
Vector3d right

Right operand.
Returns
Type Description
Vector3d

The minimum Vector3d.

MagnitudeMax(in Vector3d, in Vector3d, out Vector3d)

Returns the Vector3d with the maximum magnitude.

Declaration
public static void MagnitudeMax(in Vector3d left, in Vector3d right, out Vector3d result)
Parameters
Type Name Description
Vector3d left

Left operand.
Vector3d right

Right operand.
Vector3d result

The magnitude-wise maximum.

MagnitudeMin(Vector3d, Vector3d)

Returns the Vector3d with the minimum magnitude.

Declaration
[Pure]
public static Vector3d MagnitudeMin(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

Left operand.
Vector3d right

Right operand.
Returns
Type Description
Vector3d

The minimum Vector3d.

MagnitudeMin(in Vector3d, in Vector3d, out Vector3d)

Returns the Vector3d with the minimum magnitude.

Declaration
public static void MagnitudeMin(in Vector3d left, in Vector3d right, out Vector3d result)
Parameters
Type Name Description
Vector3d left

Left operand.
Vector3d right

Right operand.
Vector3d result

The magnitude-wise minimum.

Multiply(Vector3d, Vector3d)

Multiplies a vector by the components a vector (scale).

Declaration
[Pure]
public static Vector3d Multiply(Vector3d vector, Vector3d scale)
Parameters
Type Name Description
Vector3d vector

Left operand.
Vector3d scale

Right operand.
Returns
Type Description
Vector3d

Result of the operation.

Multiply(Vector3d, double)

Multiplies a vector by a scalar.

Declaration
[Pure]
public static Vector3d Multiply(Vector3d vector, double scale)
Parameters
Type Name Description
Vector3d vector

Left operand.
double scale

Right operand.
Returns
Type Description
Vector3d

Result of the operation.

Multiply(in Vector3d, in Vector3d, out Vector3d)

Multiplies a vector by the components of a vector (scale).

Declaration
public static void Multiply(in Vector3d vector, in Vector3d scale, out Vector3d result)
Parameters
Type Name Description
Vector3d vector

Left operand.
Vector3d scale

Right operand.
Vector3d result

Result of the operation.

Multiply(in Vector3d, double, out Vector3d)

Multiplies a vector by a scalar.

Declaration
public static void Multiply(in Vector3d vector, double scale, out Vector3d result)
Parameters
Type Name Description
Vector3d vector

Left operand.
double scale

Right operand.
Vector3d result

Result of the operation.

Normalize()

Scales the Vector3d to unit length.

Declaration
public void Normalize()

Normalize(Vector3d)

Scale a vector to unit length.

Declaration
[Pure]
public static Vector3d Normalize(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The input vector.
Returns
Type Description
Vector3d

The normalized copy.

Normalize(in Vector3d, out Vector3d)

Scale a vector to unit length.

Declaration
public static void Normalize(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The input vector.
Vector3d result

The normalized vector.

NormalizeFast()

Scales the Vector3d to approximately unit length.

Declaration
public void NormalizeFast()

NormalizeFast(Vector3d)

Scale a vector to approximately unit length.

Declaration
[Pure]
public static Vector3d NormalizeFast(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The input vector.
Returns
Type Description
Vector3d

The normalized copy.

NormalizeFast(in Vector3d, out Vector3d)

Scale a vector to approximately unit length.

Declaration
public static void NormalizeFast(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The input vector.
Vector3d result

The normalized vector.

Normalized()

Returns a copy of the Vector3d scaled to unit length.

Declaration
public readonly Vector3d Normalized()
Returns
Type Description
Vector3d

The normalized copy.

Round()

Returns a new vector were component-wise rounding has been applied. Equivalent to calling Round(double) on each component.

Declaration
public readonly Vector3d Round()
Returns
Type Description
Vector3d

The rounded vector.

Round(Vector3d)

Component-wise rounding. Equivalent to calling Round(double) on each component.

Declaration
[Pure]
public static Vector3d Round(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The vector to round.
Returns
Type Description
Vector3d

The component-wise rounded vector.

Round(Vector3d, MidpointRounding)

Component-wise rounding with specified midpoint rounding rule. Equivalent to calling Round(double, MidpointRounding) on each component.

Declaration
[Pure]
public static Vector3d Round(Vector3d vec, MidpointRounding rounding)
Parameters
Type Name Description
Vector3d vec

The vector to round.
MidpointRounding rounding

The midpoint rounding rule to use.
Returns
Type Description
Vector3d

The component-wise rounded vector.

Round(in Vector3d, out Vector3d)

Component-wise rounding. Equivalent to calling Round(double) on each component.

Declaration
public static void Round(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to round.
Vector3d result

The component-wise rounded vector.

Round(in Vector3d, MidpointRounding, out Vector3d)

Component-wise rounding with specified midpoint rounding rule. Equivalent to calling Round(double, MidpointRounding) on each component.

Declaration
public static void Round(in Vector3d vec, MidpointRounding rounding, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to round.
MidpointRounding rounding

The midpoint rounding rule to use.
Vector3d result

The component-wise rounded vector.

Round(MidpointRounding)

Returns a new vector were component-wise rounding has been applied with the specified midpoint rounding rule. Equivalent to calling Round(double, MidpointRounding) on each component.

Declaration
public readonly Vector3d Round(MidpointRounding rounding)
Parameters
Type Name Description
MidpointRounding rounding

The midpoint rounding rule to use.
Returns
Type Description
Vector3d

The rounded vector.

Slerp(Vector3d, Vector3d, double)

Returns a new vector that is the spherical interpolation of the two given vectors. a and b need to be normalized for this function to work properly. Results are undefined for vectors that point in opposite directions or very close to opposite directions.

Declaration
[Pure]
public static Vector3d Slerp(Vector3d a, Vector3d b, double t)
Parameters
Type Name Description
Vector3d a

Unit vector start point.
Vector3d b

Unit vector end point.
double t

The blend factor.
Returns
Type Description
Vector3d

a when t=0, b when t=1, and a spherical interpolation between the vectors otherwise.

Slerp(in Vector3d, in Vector3d, double, out Vector3d)

Returns a new vector that is the spherical interpolation of the two given vectors. a and b need to be normalized for this function to work properly. Results are undefined for vectors that point in opposite directions or very close to opposite directions.

Declaration
public static void Slerp(in Vector3d a, in Vector3d b, double t, out Vector3d result)
Parameters
Type Name Description
Vector3d a

Unit vector start point.
Vector3d b

Unit vector end point.
double t

The blend factor.
Vector3d result

Is a when t=0, b when t=1, and a spherical interpolation between the vectors otherwise.

Subtract(Vector3d, Vector3d)

Subtract one Vector from another.

Declaration
[Pure]
public static Vector3d Subtract(Vector3d a, Vector3d b)
Parameters
Type Name Description
Vector3d a

First operand.
Vector3d b

Second operand.
Returns
Type Description
Vector3d

Result of the subtraction.

Subtract(in Vector3d, in Vector3d, out Vector3d)

Subtract one Vector from another.

Declaration
public static void Subtract(in Vector3d a, in Vector3d b, out Vector3d result)
Parameters
Type Name Description
Vector3d a

First operand.
Vector3d b

Second operand.
Vector3d result

Result of subtraction.

ToString()

Returns the fully qualified type name of this instance.

Declaration
public override readonly string ToString()
Returns
Type Description
string

The fully qualified type name.
Overrides

ToString(IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(IFormatProvider formatProvider)
Parameters
Type Name Description
IFormatProvider formatProvider

The provider to use to format the value.

-or-

A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.
Returns
Type Description
string

The value of the current instance in the specified format.

ToString(string)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(string format)
Parameters
Type Name Description
string format

The format to use.

-or-

A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
Returns
Type Description
string

The value of the current instance in the specified format.

ToString(string, IFormatProvider)

Formats the value of the current instance using the specified format.

Declaration
public readonly string ToString(string format, IFormatProvider formatProvider)
Parameters
Type Name Description
string format

The format to use.

-or-

A null reference (Nothing in Visual Basic) to use the default format defined for the type of the IFormattable implementation.
IFormatProvider formatProvider

The provider to use to format the value.

-or-

A null reference (Nothing in Visual Basic) to obtain the numeric format information from the current locale setting of the operating system.
Returns
Type Description
string

The value of the current instance in the specified format.

Transform(Vector3d, Quaterniond)

Transforms a vector by a quaternion rotation.

Declaration
[Pure]
public static Vector3d Transform(Vector3d vec, Quaterniond quat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Quaterniond quat

The quaternion to rotate the vector by.
Returns
Type Description
Vector3d

The result of the operation.

Transform(in Vector3d, in Quaterniond, out Vector3d)

Transforms a vector by a quaternion rotation.

Declaration
public static void Transform(in Vector3d vec, in Quaterniond quat, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Quaterniond quat

The quaternion to rotate the vector by.
Vector3d result

The result of the operation.

TransformColumn(Matrix3d, Vector3d)

Transform a Vector by the given Matrix using right-handed notation.

Declaration
[Pure]
public static Vector3d TransformColumn(Matrix3d mat, Vector3d vec)
Parameters
Type Name Description
Matrix3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Returns
Type Description
Vector3d

The transformed vector.

TransformColumn(in Matrix3d, in Vector3d, out Vector3d)

Transform a Vector by the given Matrix using right-handed notation.

Declaration
public static void TransformColumn(in Matrix3d mat, in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Matrix3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Vector3d result

The transformed vector.

TransformFourDimensionsColumn(Matrix4x3d, Vector3d)

Transform a 3-dimensional vector into a 4-dimensional vector using the given 4x3 Matrix.

Declaration
[Pure]
public static Vector4d TransformFourDimensionsColumn(Matrix4x3d mat, Vector3d vec)
Parameters
Type Name Description
Matrix4x3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Returns
Type Description
Vector4d

The transformed vector.

TransformFourDimensionsColumn(in Matrix4x3d, in Vector3d, out Vector4d)

Transform a 3-dimensional vector into a 4-dimensional vector using the given 4x3 Matrix.

Declaration
public static void TransformFourDimensionsColumn(in Matrix4x3d mat, in Vector3d vec, out Vector4d result)
Parameters
Type Name Description
Matrix4x3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Vector4d result

The transformed vector.

TransformFourDimensionsRow(Vector3d, Matrix3x4d)

Transform a 3-dimensional vector into a 4-dimensional vector using the given 3x4 Matrix.

Declaration
[Pure]
public static Vector4d TransformFourDimensionsRow(Vector3d vec, Matrix3x4d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3x4d mat

The desired transformation.
Returns
Type Description
Vector4d

The transformed vector.

TransformFourDimensionsRow(in Vector3d, in Matrix3x4d, out Vector4d)

Transform a 3-dimensional vector into a 4-dimensional vector using the given 3x4 Matrix.

Declaration
public static void TransformFourDimensionsRow(in Vector3d vec, in Matrix3x4d mat, out Vector4d result)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3x4d mat

The desired transformation.
Vector4d result

The transformed vector.

TransformNormal(Vector3d, Matrix4d)

Transform a Normal by the given Matrix.

Declaration
[Pure]
public static Vector3d TransformNormal(Vector3d norm, Matrix4d mat)
Parameters
Type Name Description
Vector3d norm

The normal to transform.
Matrix4d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed normal.
Remarks

This calculates the inverse of the given matrix, use TransformNormalInverse if you already have the inverse to avoid this extra calculation.

TransformNormal(in Vector3d, in Matrix4d, out Vector3d)

Transform a Normal by the given Matrix.

Declaration
public static void TransformNormal(in Vector3d norm, in Matrix4d mat, out Vector3d result)
Parameters
Type Name Description
Vector3d norm

The normal to transform.
Matrix4d mat

The desired transformation.
Vector3d result

The transformed normal.
Remarks

This calculates the inverse of the given matrix, use TransformNormalInverse if you already have the inverse to avoid this extra calculation.

TransformNormalInverse(Vector3d, Matrix4d)

Transform a Normal by the (transpose of the) given Matrix.

Declaration
[Pure]
public static Vector3d TransformNormalInverse(Vector3d norm, Matrix4d invMat)
Parameters
Type Name Description
Vector3d norm

The normal to transform.
Matrix4d invMat

The inverse of the desired transformation.
Returns
Type Description
Vector3d

The transformed normal.
Remarks

This version doesn't calculate the inverse matrix. Use this version if you already have the inverse of the desired transform to hand.

TransformNormalInverse(in Vector3d, in Matrix4d, out Vector3d)

Transform a Normal by the (transpose of the) given Matrix.

Declaration
public static void TransformNormalInverse(in Vector3d norm, in Matrix4d invMat, out Vector3d result)
Parameters
Type Name Description
Vector3d norm

The normal to transform.
Matrix4d invMat

The inverse of the desired transformation.
Vector3d result

The transformed normal.
Remarks

This version doesn't calculate the inverse matrix. Use this version if you already have the inverse of the desired transform to hand.

TransformPerspective(Vector3d, Matrix4d)

Transform a Vector3d by the given Matrix, and project the resulting Vector4 back to a Vector3.

Declaration
[Pure]
public static Vector3d TransformPerspective(Vector3d vec, Matrix4d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix4d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed vector.

TransformPerspective(in Vector3d, in Matrix4d, out Vector3d)

Transform a Vector3d by the given Matrix, and project the resulting Vector4d back to a Vector3d.

Declaration
public static void TransformPerspective(in Vector3d vec, in Matrix4d mat, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix4d mat

The desired transformation.
Vector3d result

The transformed vector.

TransformPosition(Vector3d, Matrix4d)

Transform a Position by the given Matrix.

Declaration
[Pure]
public static Vector3d TransformPosition(Vector3d pos, Matrix4d mat)
Parameters
Type Name Description
Vector3d pos

The position to transform.
Matrix4d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed position.

TransformPosition(in Vector3d, in Matrix4d, out Vector3d)

Transform a Position by the given Matrix.

Declaration
public static void TransformPosition(in Vector3d pos, in Matrix4d mat, out Vector3d result)
Parameters
Type Name Description
Vector3d pos

The position to transform.
Matrix4d mat

The desired transformation.
Vector3d result

The transformed position.

TransformRow(Vector3d, Matrix3d)

Transform a Vector by the given Matrix.

Declaration
[Pure]
public static Vector3d TransformRow(Vector3d vec, Matrix3d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed vector.

TransformRow(in Vector3d, in Matrix3d, out Vector3d)

Transform a Vector by the given Matrix.

Declaration
public static void TransformRow(in Vector3d vec, in Matrix3d mat, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3d mat

The desired transformation.
Vector3d result

The transformed vector.

TransformTwoDimensionsColumn(Matrix2x3d, Vector3d)

Transform a 3-dimensional vector into a 2-dimensional vector using the given 2x3 Matrix.

Declaration
[Pure]
public static Vector2d TransformTwoDimensionsColumn(Matrix2x3d mat, Vector3d vec)
Parameters
Type Name Description
Matrix2x3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Returns
Type Description
Vector2d

The transformed vector.

TransformTwoDimensionsColumn(in Matrix2x3d, in Vector3d, out Vector2d)

Transform a 3-dimensional vector into a 2-dimensional vector using the given 2x3 Matrix.

Declaration
public static void TransformTwoDimensionsColumn(in Matrix2x3d mat, in Vector3d vec, out Vector2d result)
Parameters
Type Name Description
Matrix2x3d mat

The desired transformation.
Vector3d vec

The vector to transform.
Vector2d result

The transformed vector.

TransformTwoDimensionsRow(Vector3d, Matrix3x2d)

Transform a 3-dimensional vector into a 2-dimensional vector using the given 3x2 Matrix.

Declaration
[Pure]
public static Vector2d TransformTwoDimensionsRow(Vector3d vec, Matrix3x2d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3x2d mat

The desired transformation.
Returns
Type Description
Vector2d

The transformed vector.

TransformTwoDimensionsRow(in Vector3d, in Matrix3x2d, out Vector2d)

Transform a 3-dimensional vector into a 2-dimensional vector using the given 3x2 Matrix.

Declaration
public static void TransformTwoDimensionsRow(in Vector3d vec, in Matrix3x2d mat, out Vector2d result)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3x2d mat

The desired transformation.
Vector2d result

The transformed vector.

TransformVector(Vector3d, Matrix4d)

Transform a direction vector by the given Matrix. Assumes the matrix has a bottom row of (0,0,0,1), that is the translation part is ignored.

Declaration
[Pure]
public static Vector3d TransformVector(Vector3d vec, Matrix4d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix4d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed vector.

TransformVector(in Vector3d, in Matrix4d, out Vector3d)

Transform a direction vector by the given Matrix. Assumes the matrix has a bottom row of (0,0,0,1), that is the translation part is ignored.

Declaration
public static void TransformVector(in Vector3d vec, in Matrix4d mat, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix4d mat

The desired transformation.
Vector3d result

The transformed vector.

Truncate()

Returns a new vector were component-wise truncation has been applied. Equivalent to calling Truncate(double) on each component.

Declaration
public readonly Vector3d Truncate()
Returns
Type Description
Vector3d

The truncated vector.

Truncate(Vector3d)

Component-wise truncation. Equivalent to calling Truncate(double) on each component.

Declaration
[Pure]
public static Vector3d Truncate(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The vector to truncate.
Returns
Type Description
Vector3d

The component-wise truncated vector.

Truncate(in Vector3d, out Vector3d)

Component-wise truncation. Equivalent to calling Truncate(double) on each component.

Declaration
public static void Truncate(in Vector3d vec, out Vector3d result)
Parameters
Type Name Description
Vector3d vec

The vector to truncate.
Vector3d result

The component-wise truncated vector.

Operators

operator +(Vector3d, Vector3d)

Adds two instances.

Declaration
[Pure]
public static Vector3d operator +(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The first instance.
Vector3d right

The second instance.
Returns
Type Description
Vector3d

The result of the calculation.

operator +(Vector3d, double)

Adds a scalar to an instance.

Declaration
[Pure]
public static Vector3d operator +(Vector3d left, double right)
Parameters
Type Name Description
Vector3d left

The instance.
double right

The scalar.
Returns
Type Description
Vector3d

The result of the operation.

operator +(double, Vector3d)

Adds a scalar to an instance.

Declaration
[Pure]
public static Vector3d operator +(double left, Vector3d right)
Parameters
Type Name Description
double left

The scalar.
Vector3d right

The instance.
Returns
Type Description
Vector3d

The result of the operation.

operator /(Vector3d, Vector3d)

Component-wise division between the specified instance by a scale vector.

Declaration
[Pure]
public static Vector3d operator /(Vector3d vec, Vector3d scale)
Parameters
Type Name Description
Vector3d vec

Left operand.
Vector3d scale

Right operand.
Returns
Type Description
Vector3d

Result of the division.

operator /(Vector3d, double)

Divides an instance by a scalar.

Declaration
[Pure]
public static Vector3d operator /(Vector3d vec, double scale)
Parameters
Type Name Description
Vector3d vec

The instance.
double scale

The scalar.
Returns
Type Description
Vector3d

Result of the division.

operator /(double, Vector3d)

Divides a scalar by an instance.

Declaration
[Pure]
public static Vector3d operator /(double left, Vector3d right)
Parameters
Type Name Description
double left

The scalar.
Vector3d right

The instance.
Returns
Type Description
Vector3d

Result of the division.

operator ==(Vector3d, Vector3d)

Compares two instances for equality.

Declaration
public static bool operator ==(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The first instance.
Vector3d right

The second instance.
Returns
Type Description
bool

True, if left equals right; false otherwise.

explicit operator Vector3(Vector3d)

Converts OpenTK.Vector3d to OpenTK.Vector3.

Declaration
[Pure]
public static explicit operator Vector3(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The Vector3d to convert.
Returns
Type Description
Vector3

The resulting Vector3.

explicit operator Vector3h(Vector3d)

Converts OpenTK.Vector3d to OpenTK.Vector3h.

Declaration
[Pure]
public static explicit operator Vector3h(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The Vector3d to convert.
Returns
Type Description
Vector3h

The resulting Vector3h.

explicit operator Vector3i(Vector3d)

Converts OpenTK.Vector3d to OpenTK.Vector3i.

Declaration
[Pure]
public static explicit operator Vector3i(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The Vector3d to convert.
Returns
Type Description
Vector3i

The resulting Vector3i.

operator >(Vector3d, Vector3d)

Component wise greater than comparision between the specified instances.

Declaration
[Pure]
public static Vector3b operator >(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The left instance.
Vector3d right

The right instance.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding greater component is greater than the right component.

operator >=(Vector3d, Vector3d)

Component wise greater than or equal comparision between the specified instances.

Declaration
[Pure]
public static Vector3b operator >=(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The left instance.
Vector3d right

The right instance.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is greater than or equal the right component.

implicit operator Vector3d((double X, double Y, double Z))

Initializes a new instance of the Vector3d struct using a tuple containing the component values.

Declaration
[Pure]
public static implicit operator Vector3d((double X, double Y, double Z) values)
Parameters
Type Name Description
(double X, double Y, double Z) values

A tuple containing the component values.
Returns
Type Description
Vector3d

A new instance of the Vector3d struct with the given component values.

operator !=(Vector3d, Vector3d)

Compares two instances for inequality.

Declaration
public static bool operator !=(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The first instance.
Vector3d right

The second instance.
Returns
Type Description
bool

True, if left does not equa lright; false otherwise.

operator <(Vector3d, Vector3d)

Component wise less than comparision between the specified instances.

Declaration
[Pure]
public static Vector3b operator <(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The left instance.
Vector3d right

The right instance.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than the right component.

operator <=(Vector3d, Vector3d)

Component wise less than or equal comparision between the specified instances.

Declaration
[Pure]
public static Vector3b operator <=(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The left instance.
Vector3d right

The right instance.
Returns
Type Description
Vector3b

A component wise boolean vector whose compoennts are true when the corresponding left component is less than or equal the right component.

operator *(Vector3d, Matrix3d)

Transform a Vector by the given Matrix.

Declaration
[Pure]
public static Vector3d operator *(Vector3d vec, Matrix3d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3d mat

The desired transformation.
Returns
Type Description
Vector3d

The transformed vector.

operator *(Vector3d, Matrix3x2d)

Transform a 3-dimensional vector into a 2-dimensional vector using the given 3x2 Matrix.

Declaration
public static Vector2d operator *(Vector3d vec, Matrix3x2d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3x2d mat

The desired transformation.
Returns
Type Description
Vector2d

The transformed vector.

operator *(Vector3d, Matrix3x4d)

Transform a 3-dimensional vector into a 4-dimensional vector using the given 3x4 Matrix.

Declaration
public static Vector4d operator *(Vector3d vec, Matrix3x4d mat)
Parameters
Type Name Description
Vector3d vec

The vector to transform.
Matrix3x4d mat

The desired transformation.
Returns
Type Description
Vector4d

The transformed vector.

operator *(Vector3d, Vector3d)

Component-wise multiplication between the specified instance by a scale vector.

Declaration
[Pure]
public static Vector3d operator *(Vector3d vec, Vector3d scale)
Parameters
Type Name Description
Vector3d vec

Right operand.
Vector3d scale

Left operand.
Returns
Type Description
Vector3d

Result of the multiplication.

operator *(Vector3d, double)

Multiplies an instance by a scalar.

Declaration
[Pure]
public static Vector3d operator *(Vector3d vec, double scale)
Parameters
Type Name Description
Vector3d vec

The instance.
double scale

The scalar.
Returns
Type Description
Vector3d

The result of the calculation.

operator *(double, Vector3d)

Multiplies an instance by a scalar.

Declaration
[Pure]
public static Vector3d operator *(double scale, Vector3d vec)
Parameters
Type Name Description
double scale

The scalar.
Vector3d vec

The instance.
Returns
Type Description
Vector3d

The result of the calculation.

operator -(Vector3d, Vector3d)

Subtracts two instances.

Declaration
[Pure]
public static Vector3d operator -(Vector3d left, Vector3d right)
Parameters
Type Name Description
Vector3d left

The first instance.
Vector3d right

The second instance.
Returns
Type Description
Vector3d

The result of the calculation.

operator -(Vector3d, double)

Subtracts an instance by a scalar.

Declaration
[Pure]
public static Vector3d operator -(Vector3d left, double right)
Parameters
Type Name Description
Vector3d left

The instance.
double right

The scalar.
Returns
Type Description
Vector3d

The result of the operation.

operator -(double, Vector3d)

Subtracts a scalar by an instance.

Declaration
[Pure]
public static Vector3d operator -(double left, Vector3d right)
Parameters
Type Name Description
double left

The scalar.
Vector3d right

The instance.
Returns
Type Description
Vector3d

The result of the operation.

operator -(Vector3d)

Negates an instance.

Declaration
[Pure]
public static Vector3d operator -(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The instance.
Returns
Type Description
Vector3d

The result of the calculation.

operator +(Vector3d)

Computes the unary plus of the vector.

Declaration
[Pure]
public static Vector3d operator +(Vector3d vec)
Parameters
Type Name Description
Vector3d vec

The instance.
Returns
Type Description
Vector3d

The result of the calculation.

Implements