Difference between revisions of "Interpolation/Hermite/Vector"
< Interpolation | Hermite
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Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias. | Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias. | ||
|spec=< | |spec=<syntaxhighlight lang="lsl2">//A: start tangent, B: start vector, C: end vector, D: end tangent | ||
vector vHem(vector a, vector b, vector c, vector d, float t, float tens, float bias){ | |||
float t2 = t*t;float t3 = t2*t; | float t2 = t*t;float t3 = t2*t; | ||
vector a0 = (b-a)*(1+bias)*(1-tens)/2; | vector a0 = (b-a)*(1+bias)*(1-tens)/2; | ||
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} | } | ||
// Released into public domain. By Nexii Malthus.</source> | // Released into public domain. By Nexii Malthus.</source> | ||
|examples=< | |examples=<syntaxhighlight lang="lsl2"></syntaxhighlight> | ||
|cat1=Examples | |cat1=Examples | ||
}} | }} | ||
Revision as of 18:19, 1 April 2024
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Summary
Function: vector vHem( vector a, vector b, vector c, vector d, float t, float tens, float bias );
Hermite interpolation of vectors a, b, c and d with fraction t, tension and bias.
Returns a vector
| • vector | a | |||
| • vector | b | |||
| • vector | c | |||
| • vector | d | |||
| • float | t | |||
| • float | tens | |||
| • float | bias |
Specification
//A: start tangent, B: start vector, C: end vector, D: end tangent
vector vHem(vector a, vector b, vector c, vector d, float t, float tens, float bias){
float t2 = t*t;float t3 = t2*t;
vector a0 = (b-a)*(1+bias)*(1-tens)/2;
a0 += (c-b)*(1-bias)*(1-tens)/2;
vector 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.</source>
|examples=<syntaxhighlight lang="lsl2">