Difference between revisions of "BezierCurve:getDerivative"
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Get the derivative of the Bézier curve. | Get the derivative of the Bézier curve. | ||
− | This function can be used to rotate sprites moving along a curve in the direction of the movement and compute the direction | + | This function can be used to rotate sprites moving along a curve in the direction of the movement and compute the direction perpendicular to the curve at some parameter t. |
== Function == | == Function == | ||
Line 13: | Line 13: | ||
=== Returns === | === Returns === | ||
{{param|BezierCurve|derivative|The derivative curve.}} | {{param|BezierCurve|derivative|The derivative curve.}} | ||
+ | == Example == | ||
+ | === Position a sprite along a Bézier-curve. === | ||
+ | <source lang="lua"> | ||
+ | curve = love.math.newBezierCurve({25,25,75,50,125,25}) | ||
+ | derivative = curve:getDerivative() | ||
+ | sprite = love.graphics.newImage('sprite.png') -- to demonstrate orientation; assuming the sprite's front is upwards. | ||
+ | |||
+ | local t = 0.0 -- range: [0,1] | ||
+ | function love.update(dt) | ||
+ | t = (t + dt / 10) % 1.0 | ||
+ | end | ||
+ | |||
+ | function love.draw() | ||
+ | local ex,ey = curve:evaluate(t) | ||
+ | local dx,dy = derivative:evaluate(t) | ||
+ | -- If the sprite were facing to the right, the +math.pi/2 part would not be needed. | ||
+ | love.graphics.draw(sprite, ex, ey, math.atan2(dy,dx)+math.pi/2, 1, 1, sprite:getWidth()/2, sprite:getHeight()/2) | ||
+ | end | ||
+ | </source> | ||
== See Also == | == See Also == | ||
* [[parent::BezierCurve]] | * [[parent::BezierCurve]] |
Latest revision as of 18:08, 6 October 2020
Available since LÖVE 0.9.0 |
This function is not supported in earlier versions. |
Get the derivative of the Bézier curve.
This function can be used to rotate sprites moving along a curve in the direction of the movement and compute the direction perpendicular to the curve at some parameter t.
Contents
Function
Synopsis
derivative = BezierCurve:getDerivative()
Arguments
None.
Returns
BezierCurve derivative
- The derivative curve.
Example
Position a sprite along a Bézier-curve.
curve = love.math.newBezierCurve({25,25,75,50,125,25})
derivative = curve:getDerivative()
sprite = love.graphics.newImage('sprite.png') -- to demonstrate orientation; assuming the sprite's front is upwards.
local t = 0.0 -- range: [0,1]
function love.update(dt)
t = (t + dt / 10) % 1.0
end
function love.draw()
local ex,ey = curve:evaluate(t)
local dx,dy = derivative:evaluate(t)
-- If the sprite were facing to the right, the +math.pi/2 part would not be needed.
love.graphics.draw(sprite, ex, ey, math.atan2(dy,dx)+math.pi/2, 1, 1, sprite:getWidth()/2, sprite:getHeight()/2)
end
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