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#include "CatmullRomSpline.h"
namespace nvidia {
namespace CurveEditor {
float CatmullRomSpline::splineInterpolate(float v0, float v1, float v2, float v3, float u)
{
float basis[4];
{
_computeSplineBasis(u, basis);
return
basis[0] * v0 +
basis[1] * v1 +
basis[2] * v2 +
basis[3] * v3;
}
}
QPointF CatmullRomSpline::splineInterpolate(const QPointF& p0, const QPointF& p1, const QPointF& p2, const QPointF& p3, float u)
{
float basis[4];
{
_computeSplineBasis(u, basis);
return
QPointF(basis[0] * p0.x() +
basis[1] * p1.x() +
basis[2] * p2.x() +
basis[3] * p3.x(),
basis[0] * p0.y() +
basis[1] * p1.y() +
basis[2] * p2.y() +
basis[3] * p3.y());
}
}
std::vector<QPointF> CatmullRomSpline::sample(const std::vector<QPointF>& inControlPoints, int numSegments)
{
std::vector<QPointF> samplePoints;
int numPoints = (int)inControlPoints.size();
for (int i = 0; i < numPoints - 1; i++)
{
QPointF p0, p1, p2, p3;
if (i == 0)
{
p0 = inControlPoints[0], p1 = inControlPoints[0], p2 = inControlPoints[1];
if (2 < numPoints)
p3 = inControlPoints[2];
else
p3 = inControlPoints[1];
}
else if (0 < i && i < numPoints - 2)
{
p0 = inControlPoints[i-1], p1 = inControlPoints[i], p2 = inControlPoints[i+1], p3 = inControlPoints[i+2];
}
else
{
if (2 < numPoints)
p0 = inControlPoints[i-1];
else
p0 = inControlPoints[i];
p1 = inControlPoints[i], p2 = inControlPoints[i+1], p3 = inControlPoints[i+1];
}
for (int j = 0; j <= numSegments; j++)
{
float u = j / float(numSegments);
samplePoints.push_back(splineInterpolate(p0, p1, p2, p3, u));
}
}
return samplePoints;
}
void CatmullRomSpline::_computeSplineBasis(float u, float* basis)
{
float u2 = u * u;
float u3 = u2 * u;
basis[0] = -0.5f * u3 + 1.0f * u2 - 0.5f * u + 0.0f;
basis[1] = 1.5f * u3 - 2.5f * u2 + 0.0f * u + 1.0f;
basis[2] = -1.5f * u3 + 2.0f * u2 + 0.5f * u + 0.0f;
basis[3] = 0.5f * u3 - 0.5f * u2 + 0.0f * u + 0.0f;
}
CatmullRomSpline::CatmullRomSpline(long segmentCount)
: Spline(segmentCount)
, _controlPoints()
{
_segmentCount = segmentCount < 1 ? 1 : segmentCount;
}
CatmullRomSpline::CatmullRomSpline(int numControlPoints, long segmentCount)
: Spline(segmentCount)
, _controlPoints()
{
for (int i = 0; i < numControlPoints; ++i)
{
_controlPoints.push_back(QPointF(i / float(numControlPoints - 1), 1.0f));
}
}
CatmullRomSpline::~CatmullRomSpline(void)
{
}
void CatmullRomSpline::setControlPoint(int index, const QPointF& point)
{
std::vector<QPointF>::iterator itr = _controlPoints.begin();
std::advance(itr, index);
*itr = point;
}
QPointF CatmullRomSpline::getControlPoint(int index)
{
std::vector<QPointF>::iterator itr = _controlPoints.begin();
std::advance(itr, index);
return *itr;
}
std::vector<QPointF> CatmullRomSpline::getControlPoints()
{
return _controlPoints;
}
void CatmullRomSpline::reset(void)
{
int i = 0;
for (std::vector<QPointF>::iterator itr = _controlPoints.begin(); itr != _controlPoints.end(); ++itr, ++i)
{
itr->setX(i / float(_controlPoints.size() - 1));
itr->setY(1.0f);
}
}
void CatmullRomSpline::insertControlPointAt(int index)
{
QPointF p0, p1, p2, p3;
QPointF newPoint;
std::vector<QPointF>::iterator itr = _controlPoints.begin();
if (index == 0)
{
return;
}
else if (index == 1)
{
p0 = _controlPoints[0], p1 = _controlPoints[0], p2 = _controlPoints[1];
if (_controlPoints.size() > 2)
p3 = _controlPoints[2];
else
p3 = _controlPoints[1];
newPoint = splineInterpolate(p0, p1, p2, p3, 0.5);
}
else if (index > (int)(_controlPoints.size() - 1))
{
return;
}
else if (index == (_controlPoints.size() - 1))
{
if (_controlPoints.size() > 2)
p0 = _controlPoints[index-2];
else
p0 = _controlPoints[index-1];
p1 = _controlPoints[index-1], p2 = _controlPoints[index], p3 = _controlPoints[index];
newPoint = splineInterpolate(p0, p1, p2, p3, 0.5);
}
else
{
p0 = _controlPoints[index - 2], p1 = _controlPoints[index - 1], p2 = _controlPoints[index], p3 = _controlPoints[index + 1];
newPoint = splineInterpolate(p0, p1, p2, p3, 0.5);
}
std::advance(itr, index);
_controlPoints.insert(itr, newPoint);
}
void CatmullRomSpline::removeControlPoints(std::vector<int>& points)
{
for (std::vector<int>::iterator itr = points.begin(); itr != points.end(); ++itr)
{
std::vector<QPointF>::iterator itrToRemove = _controlPoints.begin();
std::advance(itrToRemove, *itr);
_controlPoints.erase(itrToRemove);
for (std::vector<int>::iterator itrRight = itr + 1; itrRight != points.end(); ++itrRight)
{
--(*itrRight);
}
}
}
void CatmullRomSpline::_doSample()
{
_samplePoints = sample(_controlPoints, _segmentCount);
}
} // namespace CurveEditor
} // namespace nvidia
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