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LerpVectors_Radial (LerpVectors Radial)

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Module: FoundationLite

Linearly interpolates between two radial vectors.

Name Type Range Description
Input value inVector0 Vector2D
Input value inVector1 Vector2D
Input value inRotationDirection RotationDirection* Clockwise, counter-clockwise or auto
Input value inLambda Real - - Interpolation between the input vectors where 0.0 value is equal to inVector0 and 1.0 to inVector1
Output value outVector Vector2D

Description

Note that because of inaccuracies of floating-point arithmetic, some geometric operations (including this one) may lead to unpredictable results for degenerated cases. In this filter such a case occurs when a zero vector is given on input.

Examples

LerpVectors performed on red inVector0 = (150, 150) and blue inVector1 = (-50, 50) with inLambda = 0,25 and inRotationDirection = Clockwise. Green is the resulting outVector.

LerpVectors performed on red inVector0 = (50, 50) and blue inVector1 = (-25, 25) with inLambda = -1,0 and inRotationDirection = Clockwise. Green is the resulting outVector.

Remarks

Please note that:
  • interpolation begins at inVector0,
  • for positive inLambda values interpolation is performed in the direction of inVector1 while for negative - in the direction of a vector acquired by mirroring inVector1 by a line determined by inVector0 and its length properly adjusted.
Hence when inLambda = 0,0, outVector is equal to inVector0, while for inLambda = 1,0 it's the same as inVector1 and for inLambda = -1,0 - as the previously described vector. Other inLambda values interpolate between the input vectors and beyond.

Complexity Level

This filter is available on Advanced Complexity Level.

Filter Group

This filter is member of LerpVectors filter group visible as Radial.