interpolation/Hermite/Float
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Revision as of 04:13, 14 September 2011 by Nexii Malthus (talk | contribs) (Created page with "{{LSL_Function |mode=user |func=fHem |p1_type=float|p1_name=a |p2_type=float|p2_name=b |p3_type=float|p3_name=c |p4_type=float|p4_name=d |p5_type=float|p5_name=t |p6_type=float|p…")
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Summary
Function: float fHem( float a, float b, float c, float d, float t, float tens, float bias );
Hermite interpolation of floating points a, b, c and d with fraction t, tension and bias.
Returns a float
• float | a | |||
• float | b | |||
• float | c | |||
• float | d | |||
• float | t | |||
• float | tens | |||
• float | bias |
Specification
<lsl>float fHem(float a, float b, float c, float d, float t, float tens, float bias){
float t2 = t*t;float t3 = t2*t; float a0 = (b-a)*(1+bias)*(1-tens)/2; a0 += (c-b)*(1-bias)*(1-tens)/2; float a1 = (c-b)*(1+bias)*(1-tens)/2; a1 += (d-c)*(1-bias)*(1-tens)/2; float b0 = 2*t3 - 3*t2 + 1; float b1 = t3 - 2*t2 + t; float b2 = t3 - t2; float b3 = -2*t3 + 3*t2; return b0 * b + b1 * a0 + b2 * a1 + b3 * c;
} // Released into public domain. By Nexii Malthus.</lsl>
Examples
<lsl></lsl>