This commit is contained in:
2013-09-16 22:55:18 +00:00
parent 76a4f56648
commit 7f51468898
3 changed files with 68 additions and 0 deletions

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LeastSquarePolynomial.cpp Normal file
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#include "LeastSquarePolynomial.h"
// form of [ y = a1*x + a2 ]
void CalcEquation2(float afA[2], const float afX[2], const float afY[2])
{
afA[0] = (afY[0]-afY[1])/(afX[0]-afX[1]);
afA[1] = afY[0] - afA[0]*afX[0];
}
// form of [ y = a1*x*x + a2*x + a3 ]
void CalcEquation3(float afA[3], const float afX[3], const float afY[3])
{
//afY[0] = afA[0]*afX[0]*afX[0] + afA[1]*afX[0] + afA[2];
//afY[1] = afA[0]*afX[1]*afX[1] + afA[1]*afX[1] + afA[2];
//(afY[0]-afY[1]) = afA[0]*(afX[0]*afX[0]-afX[1]*afX[1]) + afA[1]*(afX[0]-afX[1]);
//(afY[0]-afY[2]) = afA[0]*(afX[0]*afX[0]-afX[2]*afX[2]) + afA[1]*(afX[0]-afX[2]);
//(afY[0]-afY[1])/(afX[0]-afX[1]) = afA[0]*(afX[0]*afX[0]-afX[1]*afX[1])/(afX[0]-afX[1]) + afA[1];
//(afY[0]-afY[2])/(afX[0]-afX[2]) = afA[0]*(afX[0]*afX[0]-afX[2]*afX[2])/(afX[0]-afX[2]) + afA[2];
const float afNewX[2] = {
(afX[0]*afX[0]-afX[1]*afX[1])/(afX[0]-afX[1]),
(afX[0]*afX[0]-afX[2]*afX[2])/(afX[0]-afX[2])
};
const float afNewY[2] = {
(afY[0]-afY[1])/(afX[0]-afX[1]),
(afY[0]-afY[2])/(afX[0]-afX[2])
};
CalcEquation2(afA, afNewX, afNewY);
afA[2] = afY[0] - afA[0]*afX[0]*afX[0] - afA[1]*afX[0];
}
// form of [ y = a1*x*x*x + a2*x*x + a3*x + a4 ]
void CalcEquation4(float afA[4], const float afX[4], const float afY[4])
{
//afY[0] = afA[0]*afX[0]*afX[0]*afX[0] + afA[1]*afX[0]*afX[0] + afA[2]*afX[0] + afA[3];
//afY[1] = afA[0]*afX[1]*afX[1]*afX[1] + afA[1]*afX[1]*afX[1] + afA[2]*afX[1] + afA[3];
//(afY[0]-afY[0]) = afA[0]*(afX[0]*afX[0]*afX[0]-afX[1]*afX[1]*afX[1]) + afA[1]*(afX[0]*afX[0]-afX[1]*afX[1]) + afA[2]*(afX[0]-afX[1]);
//(afY[0]-afY[0])/(afX[0]-afX[1]) = afA[0]*(afX[0]*afX[0]*afX[0]-afX[1]*afX[1]*afX[1])/(afX[0]-afX[1]) + afA[1]*(afX[0]*afX[0]-afX[1]*afX[1])/(afX[0]-afX[1]) + afA[2];
const float afNewX[3] = {
(afX[0]*afX[0]*afX[0]-afX[1]*afX[1]*afX[1])/(afX[0]-afX[1]),
(afX[0]*afX[0]*afX[0]-afX[2]*afX[2]*afX[2])/(afX[0]-afX[2]),
(afX[0]*afX[0]*afX[0]-afX[3]*afX[3]*afX[3])/(afX[0]-afX[3])
};
const float afNewY[3] = {
(afY[0]-afY[0])/(afX[0]-afX[1]),
(afY[0]-afY[0])/(afX[0]-afX[2]),
(afY[0]-afY[0])/(afX[0]-afX[3])
};
CalcEquation3(afA, afNewX, afNewY);
afA[3] = afY[0] - afA[0]*afX[0]*afX[0]*afX[0] - afA[1]*afX[0]*afX[0] - afA[2]*afX[0];
}

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LeastSquarePolynomial.h Normal file
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@@ -161,6 +161,10 @@
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