Difference between revisions of "Interpolation/Spline/Vectors"
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(Created page with "{{LSL_Function |mode=user |func=pSpline |p1_type=list|p1_name=v |p2_type=float|p2_name=t |p3_type=integer|p3_name=Loop|p3_desc=Whether the list is a curved line or loops into a c…") |
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|func=pSpline | |func=pSpline | ||
|p1_type=list|p1_name=v | |p1_type=list|p1_name=v | ||
|p2_type=float|p2_name=t | |p2_type=float|p2_name=t|p2_desc=Ranges between [0, 1] | ||
|p3_type=integer|p3_name=Loop|p3_desc=Whether the list is a curved line or loops into a closed shape. | |p3_type=integer|p3_name=Loop|p3_desc=Whether the list is a curved line or loops into a closed shape. | ||
|return_type=vector | |return_type=vector | ||
Revision as of 13:10, 16 September 2011
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Summary
Function: vector pSpline( list v, float t, integer Loop );
B-Spline Interpolation between four vector points in a list of vectors that define a path.
Returns a vector
| • list | v | |||
| • float | t | – | Ranges between [0, 1] | |
| • integer | Loop | – | Whether the list is a curved line or loops into a closed shape. |
Specification
<lsl>vector pSpline(list v, float t, integer Loop) {
integer l = llGetListLength(v); t *= l-1;
integer f = llFloor(t); t -= f;
float t2 = t * t; float t3 = t2 * t;
return (
( (-t3 + (3.*t2) - (3.*t) + 1.) * llList2Vector(v, pIndex(f-1,l,Loop)) )
+ ( ((3.*t3) - (6.*t2) + 4.) * llList2Vector(v, pIndex(f,l,Loop)) )
+ ( ((-3.*t3) + (3.*t2) + (3.*t) + 1.) * llList2Vector(v, pIndex(f+1,l,Loop)) )
+ ( t3 * llList2Vector(v, pIndex(f+2,l,Loop)) )
) / 6.0;
} integer pIndex( integer Index, integer Length, integer Loop) {
if(Loop) return Index % Length; if(Index < 0) return 0; if(Index > --Length) return Length; return Index;
} // Released into public domain. By Nexii Malthus.</lsl>
Examples
<lsl></lsl>