Difference between revisions of "Interpolation/Hermite/Float"
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Hermite interpolation of floating points a, b, c and d with fraction t, tension and bias. | Hermite interpolation of floating points a, b, c and d with fraction t, tension and bias. | ||
|spec=< | |spec=<source lang="lsl2">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 t2 = t*t;float t3 = t2*t; | ||
float a0 = (b-a)*(1+bias)*(1-tens)/2; | float a0 = (b-a)*(1+bias)*(1-tens)/2; | ||
| Line 25: | Line 25: | ||
return b0 * b + b1 * a0 + b2 * a1 + b3 * c; | return b0 * b + b1 * a0 + b2 * a1 + b3 * c; | ||
} | } | ||
// Released into public domain. By Nexii Malthus.</ | // Released into public domain. By Nexii Malthus.</source> | ||
|examples=< | |examples=<source lang="lsl2"></source> | ||
|cat1=Examples | |cat1=Examples | ||
}} | }} | ||
Latest revision as of 16:03, 24 January 2015
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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
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.
Examples