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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#include "Wm5MathematicsPCH.h"
#include "Wm5IntpBSplineUniform4.h"
#include "Wm5Math.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
IntpBSplineUniform4<Real>::IntpBSplineUniform4 (int degree, const int* dim,
Real* data)
:
IntpBSplineUniform<Real>(4, degree, dim, data)
{
}
//----------------------------------------------------------------------------
template <typename Real>
int IntpBSplineUniform4<Real>::Index (int ix, int iy, int iz, int iw) const
{
return ix + mDim[0]*(iy + mDim[1]*(iz + mDim[2]*iw));
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpBSplineUniform4<Real>::operator() (Real* X)
{
return (*this)(X[0], X[1], X[2], X[3]);
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpBSplineUniform4<Real>::operator() (int* dx, Real* X)
{
return (*this)(dx[0], dx[1], dx[2], dx[3], X[0], X[1], X[2], X[3]);
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpBSplineUniform4<Real>::operator() (Real x, Real y, Real z, Real w)
{
mBase[0] = (int)Math<Real>::Floor(x);
mBase[1] = (int)Math<Real>::Floor(y);
mBase[2] = (int)Math<Real>::Floor(z);
mBase[3] = (int)Math<Real>::Floor(w);
for (int dim = 0; dim < 4; dim++)
{
if (mOldBase[dim] != mBase[dim])
{
// Switch to new local grid.
for (int k = 0; k < 4; ++k)
{
mOldBase[k] = mBase[k];
mGridMin[k] = mBase[k] - 1;
mGridMax[k] = mGridMin[k] + mDegree;
}
// Fill in missing grid data if necessary.
if (mEvaluateCallback)
{
EvaluateUnknownData();
}
ComputeIntermediate();
break;
}
}
SetPolynomial(0, x - mBase[0], mPoly[0]);
SetPolynomial(0, y - mBase[1], mPoly[1]);
SetPolynomial(0, z - mBase[2], mPoly[2]);
SetPolynomial(0, w - mBase[3], mPoly[3]);
int index[4] = { 0, 0, 0, 0 };
Real result = (Real)0;
for (int k = 0; k < mDp1ToN; ++k)
{
result += mPoly[0][index[0]]*mPoly[1][index[1]]*
mPoly[2][index[2]]*mPoly[3][index[3]]*mInter[k];
if (++index[0] <= mDegree)
{
continue;
}
index[0] = 0;
if (++index[1] <= mDegree)
{
continue;
}
index[1] = 0;
if (++index[2] <= mDegree)
{
continue;
}
index[2] = 0;
index[3]++;
}
return result;
}
//----------------------------------------------------------------------------
template <typename Real>
Real IntpBSplineUniform4<Real>::operator() (int dx, int dy, int dz, int dw,
Real x, Real y, Real z, Real w)
{
mBase[0] = (int)Math<Real>::Floor(x);
mBase[1] = (int)Math<Real>::Floor(y);
mBase[2] = (int)Math<Real>::Floor(z);
mBase[3] = (int)Math<Real>::Floor(w);
for (int dim = 0; dim < 4; ++dim)
{
if (mOldBase[dim] != mBase[dim])
{
// Switch to new local grid.
for (int k = 0; k < 4; ++k)
{
mOldBase[k] = mBase[k];
mGridMin[k] = mBase[k] - 1;
mGridMax[k] = mGridMin[k] + mDegree;
}
// Fill in missing grid data if necessary.
if (mEvaluateCallback)
{
EvaluateUnknownData();
}
ComputeIntermediate();
break;
}
}
SetPolynomial(dx, x - mBase[0], mPoly[0]);
SetPolynomial(dy, y - mBase[1], mPoly[1]);
SetPolynomial(dz, z - mBase[2], mPoly[2]);
SetPolynomial(dw, w - mBase[3], mPoly[3]);
int index[4] = { dx, dy, dz, dw };
int delta[3] = { dx, mDp1*dy, mDp1*mDp1*dz };
Real result = (Real)0;
int k = index[0] + mDp1*(index[1] + mDp1*(index[2] + mDp1*index[3]));
for (/**/; k < mDp1ToN; ++k)
{
result += mPoly[0][index[0]]*mPoly[1][index[1]]*
mPoly[2][index[2]]*mPoly[3][index[3]]*mInter[k];
if (++index[0] <= mDegree)
{
continue;
}
index[0] = dx;
k += delta[0];
if (++index[1] <= mDegree)
{
continue;
}
index[1] = dy;
k += delta[1];
if (++index[2] <= mDegree)
{
continue;
}
index[2] = dz;
k += delta[2];
index[3]++;
}
return result;
}
//----------------------------------------------------------------------------
template <typename Real>
void IntpBSplineUniform4<Real>::EvaluateUnknownData ()
{
for (int k3 = mGridMin[3]; k3 <= mGridMax[3]; ++k3)
{
for (int k2 = mGridMin[2]; k2 <= mGridMax[2]; ++k2)
{
for (int k1 = mGridMin[1]; k1 <= mGridMax[1]; ++k1)
{
for (int k0 = mGridMin[0]; k0 <= mGridMax[0]; ++k0)
{
int index = Index(k0,k1,k2,k3);
if (mData[index] == Math<Real>::MAX_REAL)
{
mData[index] = mEvaluateCallback(index);
}
}
}
}
}
}
//----------------------------------------------------------------------------
template <typename Real>
void IntpBSplineUniform4<Real>::ComputeIntermediate ()
{
// Fetch subblock of data to cache.
int delta[3] =
{
mDim[0] - mDp1,
mDim[0]*(mDim[1] - mDp1),
mDim[0]*mDim[1]*(mDim[2] - mDp1)
};
int loop[4];
for (int dim = 0; dim < 4; ++dim)
{
loop[dim] = mGridMin[dim];
}
int index = Index(loop[0], loop[1], loop[2], loop[3]);
int k;
for (k = 0; k < mDp1ToN; ++k, ++index)
{
mCache[k] = mData[index];
if (++loop[0] <= mGridMax[0])
{
continue;
}
loop[0] = mGridMin[0];
index += delta[0];
if (++loop[1] <= mGridMax[1])
{
continue;
}
loop[1] = mGridMin[1];
index += delta[1];
if (++loop[2] <= mGridMax[2])
{
continue;
}
loop[2] = mGridMin[2];
index += delta[2];
loop[3]++;
}
// Compute and save the intermediate product.
for (int i = 0, j = 0; i < mDp1ToN; ++i)
{
Real sum = (Real)0;
for (k = 0; k < mDp1ToN; k += mSkip[j], j += mSkip[j])
{
sum += mProduct[j]*mCache[k];
}
mInter[i] = sum;
}
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class IntpBSplineUniform4<float>;
template WM5_MATHEMATICS_ITEM
class IntpBSplineUniform4<double>;
//----------------------------------------------------------------------------
}
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