Vector4

StockSharp.Xaml.Charting.Rendering.HighQualityRasterizer.Agg.VectorMath

Represents a 4D vector using four double-precision floating-point numbers.

Implements: IEquatable<Vector4>

Constructors

Vector4
public Vector4(double x, double y, double z, double w)
vector4 = Vector4(x, y, z, w)

Constructs a new Vector4d.

x
The x component of the Vector4d.
y
The y component of the Vector4d.
z
The z component of the Vector4d.
w
The w component of the Vector4d.
Vector4
public Vector4(Vector2 v)
vector4 = Vector4(v)

Constructs a new Vector4d from the given Vector2d.

v
The Vector2d to copy components from.
Vector4
public Vector4(Vector3 v)
vector4 = Vector4(v)

Constructs a new Vector4d from the given Vector3d.

v
The Vector3d to copy components from.
Vector4
public Vector4(Vector3 v, double w)
vector4 = Vector4(v, w)

Constructs a new Vector4d from the specified Vector3d and w component.

v
The Vector3d to copy components from.
w
The w component of the new Vector4.
Vector4
public Vector4(Vector4 v)
vector4 = Vector4(v)

Constructs a new Vector4d from the given Vector4d.

v
The Vector4d to copy components from.

Properties

Length
public double Length { get; }
value = vector4.Length

Gets the length (magnitude) of the vector.

LengthFast
public double LengthFast { get; }
value = vector4.LengthFast

Gets an approximation of the vector length (magnitude).

LengthSquared
public double LengthSquared { get; }
value = vector4.LengthSquared

Gets the square of the vector length (magnitude).

Xy
public Vector2 Xy { get; set; }
value = vector4.Xy
vector4.Xy = value

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

Xyz
public Vector3 Xyz { get; set; }
value = vector4.Xyz
vector4.Xyz = value

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

Methods

Add
public static void Add(Vector4 a, Vector4 b, Vector4 result)
Vector4.Add(a, b, result)

Adds two vectors.

a
Left operand.
b
Right operand.
result
Result of operation.
Add
public static Vector4 Add(Vector4 a, Vector4 b)
result = Vector4.Add(a, b)

Adds two vectors.

a
Left operand.
b
Right operand.

Returns: Result of operation.

BaryCentric
public static void BaryCentric(Vector4 a, Vector4 b, Vector4 c, double u, double v, Vector4 result)
Vector4.BaryCentric(a, b, c, u, v, result)

Interpolate 3 Vectors using Barycentric coordinates

a
First input Vector.
b
Second input Vector.
c
Third input Vector.
u
First Barycentric Coordinate.
v
Second Barycentric Coordinate.
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
BaryCentric
public static Vector4 BaryCentric(Vector4 a, Vector4 b, Vector4 c, double u, double v)
result = Vector4.BaryCentric(a, b, c, u, v)

Interpolate 3 Vectors using Barycentric coordinates

a
First input Vector
b
Second input Vector
c
Third input Vector
u
First Barycentric Coordinate
v
Second Barycentric Coordinate

Returns: 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

Clamp
public static void Clamp(Vector4 vec, Vector4 min, Vector4 max, Vector4 result)
Vector4.Clamp(vec, min, max, result)

Clamp a vector to the given minimum and maximum vectors

vec
Input vector
min
Minimum vector
max
Maximum vector
result
The clamped vector
Clamp
public static Vector4 Clamp(Vector4 vec, Vector4 min, Vector4 max)
result = Vector4.Clamp(vec, min, max)

Clamp a vector to the given minimum and maximum vectors

vec
Input vector
min
Minimum vector
max
Maximum vector

Returns: The clamped vector

Divide
public static Vector4 Divide(Vector4 vector, double scale)
result = Vector4.Divide(vector, scale)

Divides a vector by a scalar.

vector
Left operand.
scale
Right operand.

Returns: Result of the operation.

Divide
public static void Divide(Vector4 vector, double scale, Vector4 result)
Vector4.Divide(vector, scale, result)

Divides a vector by a scalar.

vector
Left operand.
scale
Right operand.
result
Result of the operation.
Divide
public static Vector4 Divide(Vector4 vector, Vector4 scale)
result = Vector4.Divide(vector, scale)

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

vector
Left operand.
scale
Right operand.

Returns: Result of the operation.

Divide
public static void Divide(Vector4 vector, Vector4 scale, Vector4 result)
Vector4.Divide(vector, scale, result)

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

vector
Left operand.
scale
Right operand.
result
Result of the operation.
Dot
public static void Dot(Vector4 left, Vector4 right, double result)
Vector4.Dot(left, right, result)

Calculate the dot product of two vectors

left
First operand
right
Second operand
result
The dot product of the two inputs
Dot
public static double Dot(Vector4 left, Vector4 right)
result = Vector4.Dot(left, right)

Calculate the dot product of two vectors

left
First operand
right
Second operand

Returns: The dot product of the two inputs

Equals
public bool Equals(Vector4 other)
result = vector4.Equals(other)

Indicates whether the current vector is equal to another vector.

other
A vector to compare with this vector.

Returns: true if the current vector is equal to the vector parameter; otherwise, false.

Equals
public override bool Equals(object obj)
result = vector4.Equals(obj)

Indicates whether this instance and a specified object are equal.

obj
The object to compare to.

Returns: True if the instances are equal; false otherwise.

GetHashCode
public override int GetHashCode()
result = vector4.GetHashCode()

Returns the hashcode for this instance.

Returns: A System.Int32 containing the unique hashcode for this instance.

Lerp
public static Vector4 Lerp(Vector4 a, Vector4 b, double blend)
result = Vector4.Lerp(a, b, blend)

Returns a new Vector that is the linear blend of the 2 given Vectors

a
First input vector
b
Second input vector
blend
The blend factor. a when blend=0, b when blend=1.

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

Lerp
public static void Lerp(Vector4 a, Vector4 b, double blend, Vector4 result)
Vector4.Lerp(a, b, blend, result)

Returns a new Vector that is the linear blend of the 2 given Vectors

a
First input vector
b
Second input vector
blend
The blend factor. a when blend=0, b when blend=1.
result
a when blend=0, b when blend=1, and a linear combination otherwise
Max
public static void Max(Vector4 a, Vector4 b, Vector4 result)
Vector4.Max(a, b, result)

Calculate the component-wise maximum of two vectors

a
First operand
b
Second operand
result
The component-wise maximum
Max
public static Vector4 Max(Vector4 a, Vector4 b)
result = Vector4.Max(a, b)

Calculate the component-wise maximum of two vectors

a
First operand
b
Second operand

Returns: The component-wise maximum

Min
public static Vector4 Min(Vector4 a, Vector4 b)
result = Vector4.Min(a, b)

Calculate the component-wise minimum of two vectors

a
First operand
b
Second operand

Returns: The component-wise minimum

Min
public static void Min(Vector4 a, Vector4 b, Vector4 result)
Vector4.Min(a, b, result)

Calculate the component-wise minimum of two vectors

a
First operand
b
Second operand
result
The component-wise minimum
Multiply
public static Vector4 Multiply(Vector4 vector, double scale)
result = Vector4.Multiply(vector, scale)

Multiplies a vector by a scalar.

vector
Left operand.
scale
Right operand.

Returns: Result of the operation.

Multiply
public static void Multiply(Vector4 vector, double scale, Vector4 result)
Vector4.Multiply(vector, scale, result)

Multiplies a vector by a scalar.

vector
Left operand.
scale
Right operand.
result
Result of the operation.
Multiply
public static Vector4 Multiply(Vector4 vector, Vector4 scale)
result = Vector4.Multiply(vector, scale)

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

vector
Left operand.
scale
Right operand.

Returns: Result of the operation.

Multiply
public static void Multiply(Vector4 vector, Vector4 scale, Vector4 result)
Vector4.Multiply(vector, scale, result)

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

vector
Left operand.
scale
Right operand.
result
Result of the operation.
Normalize
public static Vector4 Normalize(Vector4 vec)
result = Vector4.Normalize(vec)

Scale a vector to unit length

vec
The input vector

Returns: The normalized vector

Normalize
public void Normalize()
vector4.Normalize()

Scales the Vector4d to unit length.

Normalize
public static void Normalize(Vector4 vec, Vector4 result)
Vector4.Normalize(vec, result)

Scale a vector to unit length

vec
The input vector
result
The normalized vector
NormalizeFast
public void NormalizeFast()
vector4.NormalizeFast()

Scales the Vector4d to approximately unit length.

NormalizeFast
public static void NormalizeFast(Vector4 vec, Vector4 result)
Vector4.NormalizeFast(vec, result)

Scale a vector to approximately unit length

vec
The input vector
result
The normalized vector
NormalizeFast
public static Vector4 NormalizeFast(Vector4 vec)
result = Vector4.NormalizeFast(vec)

Scale a vector to approximately unit length

vec
The input vector

Returns: The normalized vector

op_Addition
public static Vector4 op_Addition(Vector4 left, Vector4 right)
result = Vector4.op_Addition(left, right)

Adds two instances.

left
The first instance.
right
The second instance.

Returns: The result of the calculation.

op_Division
public static Vector4 op_Division(Vector4 vec, double scale)
result = Vector4.op_Division(vec, scale)

Divides an instance by a scalar.

vec
The instance.
scale
The scalar.

Returns: The result of the calculation.

op_Equality
public static bool op_Equality(Vector4 left, Vector4 right)
result = Vector4.op_Equality(left, right)

Compares two instances for equality.

left
The first instance.
right
The second instance.

Returns: True, if left equals right; false otherwise.

op_Explicit(Double*) : IntPtr

Returns a pointer to the first element of the specified instance.

v
The instance.

Returns: A pointer to the first element of v.

op_Explicit(IntPtr) : IntPtr

Returns a pointer to the first element of the specified instance.

v
The instance.

Returns: A pointer to the first element of v.

op_Inequality
public static bool op_Inequality(Vector4 left, Vector4 right)
result = Vector4.op_Inequality(left, right)

Compares two instances for inequality.

left
The first instance.
right
The second instance.

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

op_Multiply
public static Vector4 op_Multiply(double scale, Vector4 vec)
result = Vector4.op_Multiply(scale, vec)

Multiplies an instance by a scalar.

scale
The scalar.
vec
The instance.

Returns: The result of the calculation.

op_Multiply
public static Vector4 op_Multiply(Vector4 vec, double scale)
result = Vector4.op_Multiply(vec, scale)

Multiplies an instance by a scalar.

vec
The instance.
scale
The scalar.

Returns: The result of the calculation.

op_Subtraction
public static Vector4 op_Subtraction(Vector4 left, Vector4 right)
result = Vector4.op_Subtraction(left, right)

Subtracts two instances.

left
The first instance.
right
The second instance.

Returns: The result of the calculation.

op_UnaryNegation
public static Vector4 op_UnaryNegation(Vector4 vec)
result = Vector4.op_UnaryNegation(vec)

Negates an instance.

vec
The instance.

Returns: The result of the calculation.

Subtract
public static Vector4 Subtract(Vector4 a, Vector4 b)
result = Vector4.Subtract(a, b)

Subtract one Vector from another

a
First operand
b
Second operand

Returns: Result of subtraction

Subtract
public static void Subtract(Vector4 a, Vector4 b, Vector4 result)
Vector4.Subtract(a, b, result)

Subtract one Vector from another

a
First operand
b
Second operand
result
Result of subtraction
ToString
public string ToString(string format)
result = vector4.ToString(format)

Returns a System.String that represents the current Vector4d, formatting each element with format.

format
ToString
public override string ToString()
result = vector4.ToString()

Returns a System.String that represents the current Vector4d.

Transform
public static Vector4 Transform(Vector4 vec, Matrix4X4 mat)
result = Vector4.Transform(vec, mat)

Transform a Vector by the given Matrix

vec
The vector to transform
mat
The desired transformation

Returns: The transformed vector

Transform
public static void Transform(Vector4 vec, Matrix4X4 mat, Vector4 result)
Vector4.Transform(vec, mat, result)

Transform a Vector by the given Matrix

vec
The vector to transform
mat
The desired transformation
result
The transformed vector
Transform
public static Vector4 Transform(Vector4 vec, Quaternion quat)
result = Vector4.Transform(vec, quat)

Transforms a vector by a quaternion rotation.

vec
The vector to transform.
quat
The quaternion to rotate the vector by.

Returns: The result of the operation.

Transform
public static void Transform(Vector4 vec, Quaternion quat, Vector4 result)
Vector4.Transform(vec, quat, result)

Transforms a vector by a quaternion rotation.

vec
The vector to transform.
quat
The quaternion to rotate the vector by.
result
The result of the operation.

Fields

One
public static readonly Vector4 One
value = Vector4.One

Defines an instance with all components set to 1.

SizeInBytes
public static readonly int SizeInBytes
value = Vector4.SizeInBytes

Defines the size of the Vector4d struct in bytes.

UnitW
public static Vector4 UnitW
value = Vector4.UnitW

Defines a unit-length Vector4d that points towards the W-axis.

UnitX
public static Vector4 UnitX
value = Vector4.UnitX

Defines a unit-length Vector4d that points towards the X-axis.

UnitY
public static Vector4 UnitY
value = Vector4.UnitY

Defines a unit-length Vector4d that points towards the Y-axis.

UnitZ
public static Vector4 UnitZ
value = Vector4.UnitZ

Defines a unit-length Vector4d that points towards the Z-axis.

w
public double w
value = vector4.w

The W component of the Vector4d.

x
public double x
value = vector4.x

The X component of the Vector4d.

y
public double y
value = vector4.y

The Y component of the Vector4d.

z
public double z
value = vector4.z

The Z component of the Vector4d.

Zero
public static Vector4 Zero
value = Vector4.Zero

Defines a zero-length Vector4d.