Documentation

Unity Engine

User Manual

Script Reference

Unity Engine

LerpUnclamped

Interpolates linearly between two vectors, allowing extrapolation beyond the end points.
Read time 4 minutesLast updated 4 days ago

Definition

  • Type: Method
  • Namespace: UnityEngine
  • Assembly: UnityEngine.CoreModule

LerpUnclamped(Vector3, Vector3, float)

Interpolates linearly between two vectors, allowing extrapolation beyond the end points.
public static Vector3 LerpUnclamped(Vector3 a, Vector3 b, float t)

Parameters

a

Vector3
Start value. This value is returned when 
t = 0
.

b

Vector3
End value. This value is returned when 
t = 1
.

t

float
Value used to interpolate between or beyond 
a
and 
b
.

Returns

Type

Description

Vector3Interpolated value. This value always lies on a line that passes through points 
a
and 
b
.

Remarks

Unclamped linear interpolation allows for values of 
t
less than zero or greater than one, such that the returned vector can lie outside of the points 
a
and 
b
.
This method is useful for finding a point some constant rate along the line through two endpoints. For example, to move an object gradually beyond and through those points.
The returned value V equals
V = A + (B − A) × t
The method interpolates between points 
a
and 
b
, such that:
  • When 
    t
    ≤ 0, this method returns a vector that points along the line through 
    a
    and 
    b
    but in front of 
    a
    .
  • When 0 < 
    t
    < 1, this method returns a vector that points along the line between 
    a
    and 
    b
    . The distance along the line corresponds to the fraction represented by 
    t
    .
  • When 
    t
    > 1, this this method returns a vector that points along the line through 
    a
    and 
    b
    but beyond 
    b
    .
// This example creates three primitive cubes. Using linear interpolation, one cube moves along the line that passes through the others.// Because the interpolation is not clamped to the start and end points, the moving cube passes the end cube after the interpolation frame limit is reached.    // Attach this script to any GameObject in your scene. using UnityEngine;public class LerpUnclampedExample : MonoBehaviour{    // Number of frames in which to completely interpolate between the positions    int interpolationFramesCount = 300;     int elapsedFrames = 0;    // Number of frames to reset the moving cube to the start position    int maxFrameReset = 900;    GameObject CubeStart;    GameObject CubeEnd;    GameObject CubeMove;    void Start()    {        // Create the cubes        CubeStart = GameObject.CreatePrimitive(PrimitiveType.Cube);        CubeStart.transform.position = new Vector3(-5,0,0);        CubeEnd = GameObject.CreatePrimitive(PrimitiveType.Cube);        CubeEnd.transform.position = new Vector3(5,0,0);        CubeMove = GameObject.CreatePrimitive(PrimitiveType.Cube);        CubeMove.transform.position =  CubeStart.transform.position;    }    void Update()    {        float interpolationRatio = (float)elapsedFrames / interpolationFramesCount;        // Interpolate position of the moving cube, based on the ratio of elapsed frames        CubeMove.transform.position = Vector3.LerpUnclamped(CubeStart.transform.position, CubeEnd.transform.position, interpolationRatio);        // Reset elapsedFrames to zero after it reaches maxFrameReset        elapsedFrames = (elapsedFrames + 1) % (maxFrameReset);      }}
Additional Resources: Vector3.Lerp Vector3.SlerpUnclamped

LerpUnclamped(Vector3, Vector3, float)

Interpolates linearly between two vectors, allowing extrapolation beyond the end points.
public static Vector3 LerpUnclamped(in Vector3 a, in Vector3 b, float t)

Parameters

a

Vector3
Start value. This value is returned when 
t = 0
.

b

Vector3
End value. This value is returned when 
t = 1
.

t

float
Value used to interpolate between or beyond 
a
and 
b
.

Returns

Type

Description

Vector3Interpolated value. This value always lies on a line that passes through points 
a
and 
b
.

Remarks

Unclamped linear interpolation allows for values of 
t
less than zero or greater than one, such that the returned vector can lie outside of the points 
a
and 
b
.
This method is useful for finding a point some constant rate along the line through two endpoints. For example, to move an object gradually beyond and through those points.
The returned value V equals
V = A + (B − A) × t
The method interpolates between points 
a
and 
b
, such that:
  • When 
    t
    ≤ 0, this method returns a vector that points along the line through 
    a
    and 
    b
    but in front of 
    a
    .
  • When 0 < 
    t
    < 1, this method returns a vector that points along the line between 
    a
    and 
    b
    . The distance along the line corresponds to the fraction represented by 
    t
    .
  • When 
    t
    > 1, this this method returns a vector that points along the line through 
    a
    and 
    b
    but beyond 
    b
    .
// This example creates three primitive cubes. Using linear interpolation, one cube moves along the line that passes through the others.// Because the interpolation is not clamped to the start and end points, the moving cube passes the end cube after the interpolation frame limit is reached.    // Attach this script to any GameObject in your scene. using UnityEngine;public class LerpUnclampedExample : MonoBehaviour{    // Number of frames in which to completely interpolate between the positions    int interpolationFramesCount = 300;     int elapsedFrames = 0;    // Number of frames to reset the moving cube to the start position    int maxFrameReset = 900;    GameObject CubeStart;    GameObject CubeEnd;    GameObject CubeMove;    void Start()    {        // Create the cubes        CubeStart = GameObject.CreatePrimitive(PrimitiveType.Cube);        CubeStart.transform.position = new Vector3(-5,0,0);        CubeEnd = GameObject.CreatePrimitive(PrimitiveType.Cube);        CubeEnd.transform.position = new Vector3(5,0,0);        CubeMove = GameObject.CreatePrimitive(PrimitiveType.Cube);        CubeMove.transform.position =  CubeStart.transform.position;    }    void Update()    {        float interpolationRatio = (float)elapsedFrames / interpolationFramesCount;        // Interpolate position of the moving cube, based on the ratio of elapsed frames        CubeMove.transform.position = Vector3.LerpUnclamped(CubeStart.transform.position, CubeEnd.transform.position, interpolationRatio);        // Reset elapsedFrames to zero after it reaches maxFrameReset        elapsedFrames = (elapsedFrames + 1) % (maxFrameReset);      }}
Additional Resources: Vector3.Lerp Vector3.SlerpUnclamped