Cubic Lerp (LogiX node)

Cubic Lerp
Inputs
	Float	From
	Float	From Tangent
	Float	To
	Float	To Tangent
	Float	Lerp
Outputs
	Float	*

The Cubic Lerp node outputs the value that is interpolated between From and To with the Lerp input mapped to a spline curve which can be contorted by paired tangent inputs (From Tangent and To Tangent). This results in a much more customizable interpolation than any other current interpolation method in LogiX, with the added work of having to define tangents.

Usage

When spawned from the node browser, this node accepts float data by default. However, this node can be overloaded to accept a wide variety of numeric datatypes if an appropriate wire is connected to the input. The datatype must support decimal places due to the nature of the function. This node does not officially support FloatQ datatype. Attempting to interpolate a FloatQ by first converting it to an Euler angle may yield unexpected results.

Each input point defined has an associated tangent, this tangent is used to define the 'velocity' at that point. This means that if you were interpolating from point A to point B the instantaneous velocity of a point at A (The start of the interpolation) would perfectly match the tangent input associated with A and would end up matching the associated tangent of B once it reaches it.

Node Menu

Math
Back	Binary	Constants	DateTime	Enums	Matrix	Physics
Quantity	Random	Rect	Rotation	Shaping	TimeSpan	Abs
Acos	Asin	Atan	Atan2	Avg	Ceil	Ceil To Int
Clamp	Clamp01	Constant Lerp	Constant Slerp	Cos	Cosine Lerp	Cubic Lerp
Exp	Floor	Floor To Int	Greatest Common Divisor	Inverse Lerp	Is Between	Least Common Multiple
Lerp	Log	Log N	Log10	Max	Min	Multi Lerp
Multi Slerp	Nth Root	Ping Pong	Pow	Remap	Remap -1..1 to 0..1	Repeat
Repeat01	Round	Round To Int	Sigmoid	Sign	Simplex Noise	Sin
Slerp	Smooth Lerp	Sqrt	Tan	△