The QuaternionD type exposes the following members.
Constructors
| Name | Description | |
|---|---|---|
 | QuaternionD(IList<(Of <<'(Double>)>>)) |
Initializes a new instance of the QuaternionD class.
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| QuaternionD(array<Double>[]()[][]) |
Initializes a new instance of the QuaternionD class.
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| QuaternionD(Double, Vector3D) |
Initializes a new instance of the QuaternionD class.
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| QuaternionD(Double, Double, Double, Double) |
Initializes a new instance of the QuaternionD class.
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Methods
| Name | Description | |
|---|---|---|
 | Add |
Adds two quaternions.
|
| AreNumericallyEqual(QuaternionD, QuaternionD) |
Tests if two quaternions are equal (within the tolerance
EpsilonD).
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| AreNumericallyEqual(QuaternionD, QuaternionD, Double) |
Tests if two quaternions are equal (with a specific tolerance).
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| Conjugate |
Sets this quaternion to its conjugate.
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| CreateRotation(Matrix33D) |
Creates a unit quaternion that specifies the same rotation as the given rotation matrix.
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| CreateRotation(Vector3D, Vector3D) |
Creates a unit quaternion that specifies a rotation given by two vectors.
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| CreateRotation(Vector3D, Double) |
Creates a unit quaternion that specifies a rotation given by axis and angle.
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| CreateRotation(Double, Vector3D, Double, Vector3D, Double, Vector3D, Boolean) |
Gets an orientation quaternion from Euler angles (3 rotations around 3 axes).
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| CreateRotationX |
Creates a unit quaternion that specifies a rotation by a given angle around the x-axis.
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| CreateRotationY |
Creates a unit quaternion that specifies a rotation by a given angle around the y-axis.
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| CreateRotationZ |
Creates a unit quaternion that specifies a rotation by a given angle around the z-axis.
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| Divide(QuaternionD, QuaternionD) |
Divides a quaternions by another quaternion.
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| Divide(QuaternionD, Double) |
Divides a quaternion by a scalar.
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| Dot |
Returns the dot product of two quaternions.
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| Equals(Object) |
Indicates whether this instance and a specified object are equal.
(Overrides ValueType..::..Equals(Object).) |
| Equals(QuaternionD) |
Indicates whether the current object is equal to another object of the same type.
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| Exp()()()() |
Sets this quaternion to its exponential.
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| Exp(QuaternionD) |
Calculates the exponential.
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 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) |
| FromXna |
Converts this QuaternionD (DigitalRune Mathematics) to
Quaternion (XNA Framework).
|
| GetAngle |
Calculates the angle between two quaternions.
|
| GetHashCode |
Returns the hash code for this instance.
(Overrides ValueType..::..GetHashCode()()()().) |
| GetType | Gets the Type of the current instance. (Inherited from Object.) |
| Invert |
Inverts the quaternion.
|
| Ln()()()() |
Sets this quaternion to its natural logarithm.
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| Ln(QuaternionD) |
Calculates the natural logarithm.
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| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) |
| Multiply(Double, QuaternionD) |
Multiplies a quaternion by a scalar.
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| Multiply(QuaternionD, QuaternionD) |
Multiplies two quaternions.
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| Negate |
Negates a quaternion.
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| Normalize |
Normalizes the quaternion.
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| Parse(String) |
Converts the string representation of a quaternion to its QuaternionD
equivalent.
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| Parse(String, IFormatProvider) |
Converts the string representation of a quaternion in a specified culture-specific format to
its QuaternionD equivalent.
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| Power(Double) |
Sets this unit quaternion to a power of itself.
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| Power(QuaternionD, Double) |
Calculates the power of a unit quaternion.
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| Rotate |
Rotates a vector.
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| Subtract |
Subtracts a quaternion from a quaternion.
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| ToArray |
Converts the quaternion to an array of 4 double values: (w, x, y, z).
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| ToList |
Converts the vector to a list of 4 double values: (w, x, y, z).
|
| ToQuaternionF |
Converts this QuaternionD to QuaternionF.
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| ToRotationMatrix33 |
Returns the 3 x 3 rotation matrix of this quaternion.
|
| ToRotationMatrix44 |
Returns the 4 x 4 rotation matrix of this quaternion.
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| ToString()()()() |
Returns the string representation of this quaternion.
(Overrides ValueType..::..ToString()()()().) |
| ToString(IFormatProvider) |
Returns the string representation of this vector using the specified culture-specific format
information.
|
| ToXna |
Converts this QuaternionD (DigitalRune Mathematics) to
Quaternion (XNA Framework).
|
| TryNormalize |
Tries to normalize the quaternion.
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Operators
| Name | Description | |
|---|---|---|
 | Addition |
Adds two quaternions.
|
| Division(QuaternionD, QuaternionD) |
Divides a quaternions by another quaternion.
|
| Division(QuaternionD, Double) |
Divides a quaternion by a scalar.
|
| Equality |
Tests if two quaternions are equal.
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| ExplicitNarrowingExplicitExplicitExplicit(Quaternion to QuaternionD) |
Performs an conversion from Quaternion (XNA Framework) to
QuaternionD (DigitalRune Mathematics).
|
| ExplicitNarrowingExplicitExplicitExplicit(QuaternionD to List<(Of <<'(Double>)>>)) |
Converts the vector to a list of 4 double values: (w, x, y, z).
|
| ExplicitNarrowingExplicitExplicitExplicit(QuaternionD to array<Double>[]()[][]) |
Converts the quaternion to an array of 4 double values: (w, x, y, z).
|
| ExplicitNarrowingExplicitExplicitExplicit(QuaternionD to Quaternion) |
Performs an conversion from QuaternionD (DigitalRune Mathematics) to
Quaternion (XNA Framework).
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| ExplicitNarrowingExplicitExplicitExplicit(QuaternionD to QuaternionF) |
Performs an explicit conversion from QuaternionD to QuaternionF.
|
| Inequality |
Tests if two quaternions are not equal.
|
| Multiply(Double, QuaternionD) |
Multiplies a quaternion by a scalar.
|
| Multiply(QuaternionD, QuaternionD) |
Multiplies two quaternions.
|
| Multiply(QuaternionD, Double) |
Multiplies a quaternion by a scalar.
|
| Subtraction |
Subtracts a quaternion from a quaternion.
|
| UnaryNegation |
Negates a quaternion.
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Fields
| Name | Description | |
|---|---|---|
 | Identity |
Returns the identity QuaternionD (1, 0, 0, 0).
|
| W |
The w component.
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| X |
The x component.
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| Y |
The y component.
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| Z |
The z component.
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| Zero |
Returns a QuaternionD with all of its components set to zero.
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Properties
| Name | Description | |
|---|---|---|
 | Angle |
Gets or sets the angle of the rotation around Axis.
|
| Axis |
Gets or sets the normalized unit vector with the direction of the rotation axis.
|
| Conjugated |
Returns the conjugate of the quaternion.
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| Inverse |
Returns the inverse of this quaternion.
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| IsNaN |
Gets a value indicating whether a component of the quaternion is NaN.
|
| IsNumericallyNormalized |
Returns a value indicating whether this quaternion is normalized (the Modulus
is numerically equal to 1).
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| Item |
Gets or sets the component at the specified index.
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| Modulus |
Returns the modulus (length).
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| Norm |
Returns the norm (length2).
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| Normalized |
Returns the normalized quaternion.
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| V |
Gets or sets the vector part (x, y, z).
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See Also
