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// SPDX-FileCopyrightText: Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
// SPDX-License-Identifier: BSD-3-Clause
#include "vtkSphericalTransform.h"
#include "vtkMath.h"
#include "vtkObjectFactory.h"
#include <cmath>
#include <cstdlib>
VTK_ABI_NAMESPACE_BEGIN
vtkStandardNewMacro(vtkSphericalTransform);
//------------------------------------------------------------------------------
vtkSphericalTransform::vtkSphericalTransform() = default;
vtkSphericalTransform::~vtkSphericalTransform() = default;
void vtkSphericalTransform::PrintSelf(ostream& os, vtkIndent indent)
{
vtkWarpTransform::PrintSelf(os, indent);
}
void vtkSphericalTransform::InternalDeepCopy(vtkAbstractTransform* transform)
{
vtkSphericalTransform* sphericalTransform = static_cast<vtkSphericalTransform*>(transform);
// copy these even though they aren't used
this->SetInverseTolerance(sphericalTransform->InverseTolerance);
this->SetInverseIterations(sphericalTransform->InverseIterations);
// copy the inverse flag, which is used
if (this->InverseFlag != sphericalTransform->InverseFlag)
{
this->InverseFlag = sphericalTransform->InverseFlag;
this->Modified();
}
}
vtkAbstractTransform* vtkSphericalTransform::MakeTransform()
{
return vtkSphericalTransform::New();
}
template <class T>
void vtkSphericalToRectangular(const T inPoint[3], T outPoint[3], T derivative[3][3])
{
T r = inPoint[0];
T sinphi = sin(inPoint[1]);
T cosphi = cos(inPoint[1]);
T sintheta = sin(inPoint[2]);
T costheta = cos(inPoint[2]);
outPoint[0] = r * sinphi * costheta;
outPoint[1] = r * sinphi * sintheta;
outPoint[2] = r * cosphi;
if (derivative)
{
derivative[0][0] = sinphi * costheta;
derivative[0][1] = r * cosphi * costheta;
derivative[0][2] = -r * sinphi * sintheta;
derivative[1][0] = sinphi * sintheta;
derivative[1][1] = r * cosphi * sintheta;
derivative[1][2] = r * sinphi * costheta;
derivative[2][0] = cosphi;
derivative[2][1] = -r * sinphi;
derivative[2][2] = 0;
}
}
template <class T>
void vtkRectangularToSpherical(const T inPoint[3], T outPoint[3])
{
T x = inPoint[0];
T y = inPoint[1];
T z = inPoint[2];
T RR = x * x + y * y;
T r = sqrt(RR + z * z);
outPoint[0] = r;
if (r == 0)
{
outPoint[1] = 0;
}
else
{
outPoint[1] = acos(z / r);
}
if (RR == 0)
{
outPoint[2] = 0;
}
else
{
// Change range to [0, 2*Pi], otherwise the same as atan2(y, x)
outPoint[2] = T(vtkMath::Pi()) + atan2(-y, -x);
}
}
void vtkSphericalTransform::ForwardTransformPoint(const float inPoint[3], float outPoint[3])
{
vtkSphericalToRectangular(inPoint, outPoint, static_cast<float(*)[3]>(nullptr));
}
void vtkSphericalTransform::ForwardTransformPoint(const double inPoint[3], double outPoint[3])
{
vtkSphericalToRectangular(inPoint, outPoint, static_cast<double(*)[3]>(nullptr));
}
void vtkSphericalTransform::ForwardTransformDerivative(
const float inPoint[3], float outPoint[3], float derivative[3][3])
{
vtkSphericalToRectangular(inPoint, outPoint, derivative);
}
void vtkSphericalTransform::ForwardTransformDerivative(
const double inPoint[3], double outPoint[3], double derivative[3][3])
{
vtkSphericalToRectangular(inPoint, outPoint, derivative);
}
void vtkSphericalTransform::InverseTransformPoint(const float inPoint[3], float outPoint[3])
{
vtkRectangularToSpherical(inPoint, outPoint);
}
void vtkSphericalTransform::InverseTransformPoint(const double inPoint[3], double outPoint[3])
{
vtkRectangularToSpherical(inPoint, outPoint);
}
void vtkSphericalTransform::InverseTransformDerivative(
const float inPoint[3], float outPoint[3], float derivative[3][3])
{
float tmp[3];
vtkRectangularToSpherical(inPoint, outPoint);
vtkSphericalToRectangular(outPoint, tmp, derivative);
}
void vtkSphericalTransform::InverseTransformDerivative(
const double inPoint[3], double outPoint[3], double derivative[3][3])
{
double tmp[3];
vtkRectangularToSpherical(inPoint, outPoint);
vtkSphericalToRectangular(outPoint, tmp, derivative);
}
VTK_ABI_NAMESPACE_END
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