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math.CHSpline

<function name="CHSpline" parent="math" type="libraryfunc">
	<description>Cubic Hermite spline algorithm.</description>
	<realm>Shared and Menu</realm>
	<file line="148-L159">lua/includes/extensions/math.lua</file>
	<added>2023.08.08</added>
	<args>
		<arg name="frac" type="number">From 0 to 1, where alongside the spline the point will be.</arg>
		<arg name="point0" type="Vector">First point for the spline.</arg>
		<arg name="tan0" type="Vector">Tangent for the first point for the spline.</arg>
		<arg name="point1" type="Vector">Second point for the spline.</arg>
		<arg name="tan1" type="Vector">Tangent for the second point for the spline.</arg>
	</args>
	<rets>
		<ret name="" type="Vector">Point on the cubic Hermite spline, at given fraction.</ret>
	</rets>
</function>

<example>
<code>

local points = {
	Vector( 128, 128 ), -- point 1
	Vector( 384, 128 ), -- tangent pos 1
	Vector( 128, 384 ), -- point 2
	Vector( 384, 384 ) -- tangent pos 2
}

hook.Add( "HUDPaint", "math.BezierLerp", function()
	local frac = RealTime() % 1
	local point = math.CHSpline( frac, unpack( points ) )

	surface.SetDrawColor( 255, 255, 0 )
	surface.DrawRect( point.x - 4, point.y - 4, 8, 8 )

	surface.DrawRect( points[1].x - 4, points[1].y - 4, 8, 8 )
	surface.DrawRect( points[3].x - 4, points[3].y - 4, 8, 8 )
	surface.SetDrawColor( 255, 0, 0 )
	surface.DrawRect( points[2].x - 4, points[2].y - 4, 8, 8 )
	surface.DrawRect( points[4].x - 4, points[4].y - 4, 8, 8 )
	
	-- Draw the spline
	for i=0,20 do
	
		local point = math.CHSpline( i / 20, unpack( points ) )

		surface.SetDrawColor( 0, 255, 0 )
		surface.DrawRect( point.x - 2, point.y - 2, 4, 4 )
	end
end )
</code>
<output>
<upload src="70c/8db983d5bad2ef0.png" size="28227" name="image.png" />
</output>
</example>

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