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Co-authored-by: Alain <alain@mcneel.com>
Co-authored-by: Andrew Le Bihan <andy@mcneel.com>
Co-authored-by: croudyj <croudyj@gmail.com>
Co-authored-by: Dale Fugier <dale@mcneel.com>
Co-authored-by: Dale Lear <dalelear@mcneel.com>
Co-authored-by: David Eränen <david.eranen@mcneel.com>
Co-authored-by: Greg Arden <greg@mcneel.com>
Co-authored-by: Mikko Oksanen <mikko@mcneel.com>
Co-authored-by: piac <giulio@mcneel.com>
Co-authored-by: Steve Baer <steve@mcneel.com>
Co-authored-by: TimHemmelman <tim@mcneel.com>
Co-authored-by: Will Pearson <will@mcneel.com>
This commit is contained in:
Bozo The Builder
2023-04-23 04:06:52 -07:00
parent f3687d492e
commit ef4be960ca
80 changed files with 8798 additions and 3118 deletions
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48
opennurbs_math.cpp
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@@ -876,6 +876,54 @@ ON_EvCurvature(
return rc;
}
bool
ON_EvCurvature1Der(
const ON_3dVector& D1, // first derivative
const ON_3dVector& D2, // second derivative
const ON_3dVector& D3, // third derivative
ON_3dVector& T, // Unit tangent returned here
ON_3dVector& K, // curvature vector(k*N). curvature k = K.Length() and Normal N=K.Unitize()
double* kprime, // first derivative of k
double* torsion) // torsion
{
bool rc = false;
double dsdt = D1.Length();
if (dsdt > 0)
{
T = (1 / dsdt) * D1;
// Differentiate the formula k = | q | / |D1|^3, where q = D1 x D2
ON_3dVector q = ON_CrossProduct(D1, D2);
double qlen2 = q.LengthSquared();
double dsdt2 = dsdt * dsdt;
K = (1.0/dsdt2) * (D2 - (D2*T) * T);
if (kprime)
{
ON_3dVector qprime = ON_CrossProduct(D1, D3);
if (qlen2 > 0)
{
*kprime = ((q * qprime) * D1.LengthSquared() - 3 * qlen2 * (D1 * D2)) /
(sqrt(qlen2) * pow(D1.Length(), 5.0));
}
else
*kprime = qprime.Length() / pow(D1.Length(), 3);
rc = true;
}
if (torsion)
{
if (qlen2 > 0)
{
*torsion = q * D3 / qlen2;
rc = true;
}
else
rc = false;
}
}
return rc;
}
bool ON_EvSectionalCurvature(
const ON_3dVector& S10,
const ON_3dVector& S01,