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24 lines
636 B
C++
24 lines
636 B
C++
#include "bezier.h"
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CCubicBezier CCubicBezier::With(float Start, float StartDerivative, float EndDerivative, float End)
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{
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return CCubicBezier(Start, Start + StartDerivative / 3, End - EndDerivative / 3, End);
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}
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// f(t) = (1-t)³ a + 3(1-t)²t b + 3(1-t)t² c + t³ d
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float CCubicBezier::Evaluate(float t) const
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{
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return (1 - t) * (1 - t) * (1 - t) * a
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+ 3 * (1 - t) * (1 - t) * t * b
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+ 3 * (1 - t) * t * t * c
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+ t * t * t * d;
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}
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// f(t) = 3(1-t)²(b-a) + 6(1-t)t(c-b) + 3t²(d-c)
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float CCubicBezier::Derivative(float t) const
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{
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return 3 * (1 - t) * (1 - t) * (b - a)
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+ 6 * (1 - t) * t * (c - b)
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+ 3 * t * t * (d - c);
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}
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