Slerp (Apache Commons Numbers 1.2)

java.lang.Object
- org.apache.commons.numbers.quaternion.Slerp

All Implemented Interfaces:

DoubleFunction<Quaternion>
```
public class Slerp
extends Object
implements DoubleFunction<Quaternion>
```
Perform spherical linear interpolation (Slerp). The Slerp algorithm is designed to interpolate smoothly between two rotations/orientations, producing a constant-speed motion along an arc. The original purpose of this algorithm was to animate 3D rotations. All output quaternions are in positive polar form, meaning a unit quaternion with a positive scalar component.

- Constructor Summary
  
  Constructors
  Constructor Description
  
  Slerp(Quaternion start, Quaternion end)
  Create an instance.
- Method Summary
  
  All Methods Instance Methods Concrete Methods
  Modifier and Type Method Description
  
  Quaternion apply(double t)
  Performs the interpolation.
  - Methods inherited from class java.lang.Object
    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Constructor Detail
  - Slerp
```
public Slerp(Quaternion start,
             Quaternion end)
```
    Create an instance.
    
    Parameters:
    
    start - Start of the interpolation.
    
    end - End of the interpolation.
- Method Detail
  - apply
```
public Quaternion apply(double t)
```
    Performs the interpolation. The rotation returned by this method is controlled by the interpolation parameter, t. All other values are interpolated (or extrapolated if t is outside of the [0, 1] range). The returned quaternion is in positive polar form, meaning that it is a unit quaternion with a positive scalar component.
    
    Specified by:
    
    apply in interface DoubleFunction<Quaternion>
    
    Parameters:
    
    t - Interpolation control parameter. When t = 0, a rotation equal to the start instance is returned. When t = 1, a rotation equal to the end instance is returned.
    
    Returns:
    
    an interpolated quaternion in positive polar form.