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Bozo the Builder
2023-07-14 02:54:08 -07:00
parent 594e02b6ce
commit f5a493ce7c
14 changed files with 329 additions and 190 deletions
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79
opennurbs_xform.cpp
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@@ -1677,6 +1677,85 @@ bool ON_Xform::DecomposeAffine(ON_Xform& L, ON_3dVector& T) const
return rc;
}
void ON_Xform::DecomposeTextureMapping(ON_3dVector& offset, ON_3dVector& repeat, ON_3dVector& rotation) const
{
ON_Xform xform = *this;
repeat.x = sqrt(xform[0][0] * xform[0][0] + xform[0][1] * xform[0][1] + xform[0][2] * xform[0][2]);
repeat.y = sqrt(xform[1][0] * xform[1][0] + xform[1][1] * xform[1][1] + xform[1][2] * xform[1][2]);
repeat.z = sqrt(xform[2][0] * xform[2][0] + xform[2][1] * xform[2][1] + xform[2][2] * xform[2][2]);
const ON_Xform S = TextureMapping(ON_3dVector::ZeroVector, repeat, ON_3dVector::ZeroVector).Inverse();
xform = S * xform;
const double dSinBeta = -xform[2][0];
double dCosBeta = sqrt(1.0 - dSinBeta * dSinBeta);
if (dCosBeta < 0.0)
{
dCosBeta = -dCosBeta;
}
double dSinAlpha, dCosAlpha, dSinGamma, dCosGamma;
if (dCosBeta < 1e-6)
{
dSinAlpha = -xform[1][2];
dCosAlpha = xform[1][1];
dSinGamma = 0.0;
dCosGamma = 1.0;
}
else
{
dSinAlpha = xform[2][1] / dCosBeta;
dCosAlpha = xform[2][2] / dCosBeta;
dSinGamma = xform[1][0] / dCosBeta;
dCosGamma = xform[0][0] / dCosBeta;
}
rotation.x = atan2(dSinAlpha, dCosAlpha);
rotation.y = atan2(dSinBeta, dCosBeta);
rotation.z = atan2(dSinGamma, dCosGamma);
const ON_Xform R = TextureMapping(ON_3dVector::ZeroVector, repeat, rotation).Inverse();
const ON_Xform T = R * *this;
offset.x = -T[0][3];
offset.y = -T[1][3];
offset.z = -T[2][3];
}
//static
const ON_Xform ON_Xform::TextureMapping(const ON_3dVector& offset, const ON_3dVector& repeat, const ON_3dVector& rotation)
{
ON_Xform S = ON_Xform::DiagonalTransformation(repeat.x, repeat.y, repeat.z);
ON_Xform R;
R.Rotation(rotation.x, ON_3dVector::XAxis, ON_3dPoint::Origin);
ON_3dVector vRotate = ON_3dVector::YAxis;
vRotate.Transform(R.Inverse());
ON_Xform Ry;
Ry.Rotation(rotation.y, vRotate, ON_3dPoint::Origin);
R = R * Ry;
vRotate = ON_3dVector::ZAxis;
vRotate.Transform(R.Inverse());
ON_Xform Rz;
Rz.Rotation(rotation.z, vRotate, ON_3dPoint::Origin);
R = R * Rz;
const ON_Xform T = ON_Xform::TranslationTransformation(-offset.x, -offset.y, -offset.z);
return S * R * T;
}
bool ON_Xform::IsZero() const
{