Calculates the exponential.
Namespace: DigitalRune.Mathematics.AlgebraAssembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.7.0.0 (1.7.0.9486)
Syntax
| C# |
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public static QuaternionD Exp( QuaternionD quaternion ) |
| Visual Basic |
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Public Shared Function Exp ( _ quaternion As QuaternionD _ ) As QuaternionD |
| Visual C++ |
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public: static QuaternionD Exp( QuaternionD quaternion ) |
Parameters
- quaternion
- Type: DigitalRune.Mathematics.Algebra..::..QuaternionD
The quaternion.
Return Value
The exponential eq.
Remarks
Important: This method requires that the quaternion is a pure quaternion. A pure quaternion is defined by q = (0, uθ) where u is a unit vector.
The exponential of a quaternion q is defines as:
eq = (cosθ + usinθ)
The result is returned as a quaternion with the form: (cos(θ), usin(θ))