spline4
This Catmull-Rom spline function is an optimized version of spline for the special case of only four knots.
- spline4(t,knot1,knot2,knot3,knot4)
- Returns the Catmull-Rom interpolation of the given knot values at the given parameter position.
COPY/// spline4(t,knot1,knot2,knot3,knot4)
//
// Returns the Catmull-Rom interpolation of the given
// knot values at the given parameter position.
//
// t interpolation parameter [0..1], real
// knot1-4 knot values of spline, real
//
// This is an optimized version of spline() for the special
// case of four knots. See spline() for more details.
//
/// GMLscripts.com/license
{
var k0, k3, c3, c2, c1, c0;
if (argument0 <= 0) return argument2;
if (argument0 >= 1) return argument3;
k0 = -0.5 * argument1;
k3 = 0.5 * argument4;
c3 = k0 + 1.5 * argument2 - 1.5 * argument3 + k3;
c2 = argument1 - 2.5 * argument2 + 2 * argument3 - k3;
c1 = k0 + 0.5 * argument3;
c0 = argument2;
return ((c3 * argument0 + c2) * argument0 + c1) * argument0 + c0;
}
Contributors: xot
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