Math.getBezierPoint - Revision history

Thisdp at 14:13, 23 January 2021

2021-01-23T14:13:41Z

← Older revision		Revision as of 14:13, 23 January 2021
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	===Required Arguments===		===Required Arguments===
	* '''anchorPoints''': The anchor points of bezier curve, curve order is #anchorPoints-1.		* '''anchorPoints''': The anchor points of bezier curve, curve order is #anchorPoints-1.
	* '''density''': How many points will return.
	* '''t''': A float of time of bezier curve.		* '''t''': A float of time of bezier curve.

Thisdp at 14:09, 23 January 2021

2021-01-23T14:09:30Z

← Older revision		Revision as of 14:09, 23 January 2021
Line 4:		Line 4:

	===Required Arguments===		===Required Arguments===
	* '''anchorPoints''': The anchor points of bezier curve, curve order is #anchorPoints-1		* '''anchorPoints''': The anchor points of bezier curve, curve order is #anchorPoints-1.
	* '''density''': How many points will return.		* '''density''': How many points will return.
	* '''t''': A float of time of bezier curve.		* '''t''': A float of time of bezier curve.

Thisdp at 14:09, 23 January 2021

2021-01-23T14:09:01Z

← Older revision		Revision as of 14:09, 23 January 2021
Line 47:		Line 47:
	local lastPos = Vector2(0,0)		local lastPos = Vector2(0,0)
	for i=0,10 do		for i=0,10 do
	local bz = ~~getBezierPosN~~(anchors,i/10)*10		local bz = math.getBezierPoint(anchors,i/10)*10
	dxDrawLine(lastPos,bz,_,2)		dxDrawLine(lastPos,bz,_,2)
	lastPos = bz		lastPos = bz

Thisdp: Created page with "{{Useful Function}} ==Syntax== Vector2/Vector3 math.getBezierPoint( Vector2/Vector3 anchorPoints, float t ) ===Required Argument..."

2021-01-23T14:08:45Z

Created page with "{{Useful Function}} ==Syntax== <syntaxhighlight lang="lua">Vector2/Vector3 math.getBezierPoint( Vector2/Vector3 anchorPoints, float t )</syntaxhighlight> ===Required Argument..."

New page

{{Useful Function}}
==Syntax==
<syntaxhighlight lang="lua">Vector2/Vector3 math.getBezierPoint( Vector2/Vector3 anchorPoints, float t )</syntaxhighlight>

===Required Arguments===
* '''anchorPoints''': The anchor points of bezier curve, curve order is #anchorPoints-1
* '''density''': How many points will return.
* '''t''': A float of time of bezier curve.

===Returns===
Returns a Vector2/Vector3 indicates the point of the bezier curve at the time of ''t''.

==Code==
<syntaxhighlight lang="lua">
function fac(x)
local a = 1
for i=2,x do
a = a*i
end
return a
end

function C(n,r)
return fac(n)/(fac(r)*fac(n-r))
end

function math.getBezierPoint(pos,t)
local retPos = Vector2(0,0)
local n = #pos-1
for i=1,n+1 do
local index = i-1
retPos = retPos+(1-t)^index*t^(n-index)*pos[i]*C(n,index)
end
return retPos
end
</syntaxhighlight>

==Example==
<syntaxhighlight lang="lua">
local anchors = {
Vector2(0,0),
Vector2(50,100),
Vector2(100,0),
}

addEventHandler("onClientRender",root,function()
local lastPos = Vector2(0,0)
for i=0,10 do
local bz = getBezierPosN(anchors,i/10)*10
dxDrawLine(lastPos,bz,_,2)
lastPos = bz
end
end)
</syntaxhighlight>

==See Also==
{{Useful_Functions}}