540 lines
18 KiB
C++
540 lines
18 KiB
C++
|
#ifndef STAR_MULTI_ARRAY_INTERPOLATOR_HPP
|
||
|
|
#define STAR_MULTI_ARRAY_INTERPOLATOR_HPP
|
||
|
|
|
||
|
|
#include "StarMultiArray.hpp"
|
||
|
|
#include "StarInterpolation.hpp"
|
||
|
|
|
||
|
|
namespace Star {
|
||
|
|
|
||
|
|
template <typename MultiArrayT, typename PositionT>
|
||
|
|
struct MultiArrayInterpolator2 {
|
||
|
|
typedef MultiArrayT MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = MultiArray::Rank;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 2> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayInterpolator2(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
IndexList imin;
|
||
|
|
IndexList imax;
|
||
|
|
PositionList offset;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto binfo = getBound2(coord[i], array.size(i), boundMode);
|
||
|
|
imin[i] = binfo.i0;
|
||
|
|
imax[i] = binfo.i1;
|
||
|
|
offset[i] = binfo.offset;
|
||
|
|
}
|
||
|
|
|
||
|
|
return interpolateSub(array, imin, imax, offset, IndexList(), 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
Element interpolateSub(
|
||
|
|
MultiArray const& array,
|
||
|
|
IndexList const& imin, IndexList const& imax,
|
||
|
|
PositionList const& offset, IndexList const& index,
|
||
|
|
size_t const dim) const {
|
||
|
|
IndexList minIndex = index;
|
||
|
|
IndexList maxIndex = index;
|
||
|
|
|
||
|
|
minIndex[dim] = imin[dim];
|
||
|
|
maxIndex[dim] = imax[dim];
|
||
|
|
|
||
|
|
WeightList weights = weightFunction(offset[dim]);
|
||
|
|
|
||
|
|
if (dim == Rank - 1) {
|
||
|
|
return weights[0] * array(minIndex) + weights[1] * array(maxIndex);
|
||
|
|
} else {
|
||
|
|
return
|
||
|
|
weights[0] * interpolateSub(array, imin, imax, offset, minIndex, dim+1) +
|
||
|
|
weights[1] * interpolateSub(array, imin, imax, offset, maxIndex, dim+1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename MultiArrayT, typename PositionT>
|
||
|
|
struct MultiArrayInterpolator4 {
|
||
|
|
typedef MultiArrayT MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = MultiArray::Rank;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 4> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayInterpolator4(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
IndexList index0;
|
||
|
|
IndexList index1;
|
||
|
|
IndexList index2;
|
||
|
|
IndexList index3;
|
||
|
|
PositionList offset;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto bound = getBound4(coord[i], array.size(i), boundMode);
|
||
|
|
index0[i] = bound.i0;
|
||
|
|
index1[i] = bound.i1;
|
||
|
|
index2[i] = bound.i2;
|
||
|
|
index3[i] = bound.i3;
|
||
|
|
offset[i] = bound.offset;
|
||
|
|
}
|
||
|
|
|
||
|
|
return interpolateSub(array, index0, index1, index2, index3, offset, IndexList(), 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
Element interpolateSub(
|
||
|
|
MultiArray const& array,
|
||
|
|
IndexList const& i0, IndexList const& i1,
|
||
|
|
IndexList const& i2, IndexList const& i3,
|
||
|
|
PositionList const& offset, IndexList const& index,
|
||
|
|
size_t const dim) const {
|
||
|
|
IndexList index0 = index;
|
||
|
|
IndexList index1 = index;
|
||
|
|
IndexList index2 = index;
|
||
|
|
IndexList index3 = index;
|
||
|
|
|
||
|
|
index0[dim] = i0[dim];
|
||
|
|
index1[dim] = i1[dim];
|
||
|
|
index2[dim] = i2[dim];
|
||
|
|
index3[dim] = i3[dim];
|
||
|
|
|
||
|
|
WeightList weights = weightFunction(offset[dim]);
|
||
|
|
|
||
|
|
if (dim == Rank - 1) {
|
||
|
|
return
|
||
|
|
weights[0] * array(index0) +
|
||
|
|
weights[1] * array(index1) +
|
||
|
|
weights[2] * array(index2) +
|
||
|
|
weights[3] * array(index3);
|
||
|
|
} else {
|
||
|
|
return
|
||
|
|
weights[0] * interpolateSub(array, i0, i1, i2, i3, offset, index0, dim+1) +
|
||
|
|
weights[1] * interpolateSub(array, i0, i1, i2, i3, offset, index1, dim+1) +
|
||
|
|
weights[2] * interpolateSub(array, i0, i1, i2, i3, offset, index2, dim+1) +
|
||
|
|
weights[3] * interpolateSub(array, i0, i1, i2, i3, offset, index3, dim+1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename MultiArrayT, typename PositionT>
|
||
|
|
struct MultiArrayPiecewiseInterpolator {
|
||
|
|
typedef MultiArrayT MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = MultiArray::Rank;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 2> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
struct PiecewiseRange {
|
||
|
|
size_t dim;
|
||
|
|
Position offset;
|
||
|
|
|
||
|
|
bool operator<(PiecewiseRange const& pr) const {
|
||
|
|
return pr.offset < offset;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
typedef Array<PiecewiseRange, Rank> PiecewiseRangeList;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayPiecewiseInterpolator(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
// O(n) for n-dimensions.
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
PiecewiseRangeList piecewiseRangeList;
|
||
|
|
|
||
|
|
IndexList minIndex;
|
||
|
|
IndexList maxIndex;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
PiecewiseRange range;
|
||
|
|
range.dim = i;
|
||
|
|
|
||
|
|
auto bound = getBound2(coord[i], array.size(i), boundMode);
|
||
|
|
minIndex[i] = bound.i0;
|
||
|
|
maxIndex[i] = bound.i1;
|
||
|
|
range.offset = bound.offset;
|
||
|
|
|
||
|
|
piecewiseRangeList[i] = range;
|
||
|
|
}
|
||
|
|
|
||
|
|
std::sort(piecewiseRangeList.begin(), piecewiseRangeList.end());
|
||
|
|
|
||
|
|
IndexList location = minIndex;
|
||
|
|
Element result = array(location);
|
||
|
|
Element last = result;
|
||
|
|
Element current;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto const& pr = piecewiseRangeList[i];
|
||
|
|
location[pr.dim] = maxIndex[pr.dim];
|
||
|
|
current = array(location);
|
||
|
|
|
||
|
|
WeightList weights = weightFunction(pr.offset);
|
||
|
|
result += last * (weights[0] - 1) + current * weights[1];
|
||
|
|
last = current;
|
||
|
|
}
|
||
|
|
|
||
|
|
return result;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
// Template specializations for Rank 2
|
||
|
|
|
||
|
|
template <typename ElementT, typename PositionT>
|
||
|
|
struct MultiArrayInterpolator2<MultiArray<ElementT, 2>, PositionT> {
|
||
|
|
typedef Star::MultiArray<ElementT, 2> MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = 2;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 2> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayInterpolator2(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
IndexList imin;
|
||
|
|
IndexList imax;
|
||
|
|
PositionList offset;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto bound = getBound2(coord[i], array.size(i), boundMode);
|
||
|
|
imin[i] = bound.i0;
|
||
|
|
imax[i] = bound.i1;
|
||
|
|
offset[i] = bound.offset;
|
||
|
|
}
|
||
|
|
|
||
|
|
WeightList xweights = weightFunction(offset[0]);
|
||
|
|
WeightList yweights = weightFunction(offset[1]);
|
||
|
|
|
||
|
|
return
|
||
|
|
xweights[0] * (yweights[0] * array(imin[0], imin[1]) + yweights[1] * array(imin[0], imax[1])) +
|
||
|
|
xweights[1] * (yweights[0] * array(imax[0], imin[1]) + yweights[1] * array(imax[0], imax[1]));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename ElementT, typename PositionT>
|
||
|
|
struct MultiArrayInterpolator4<MultiArray<ElementT, 2>, PositionT> {
|
||
|
|
typedef Star::MultiArray<ElementT, 2> MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = 2;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 4> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayInterpolator4(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
IndexList index0;
|
||
|
|
IndexList index1;
|
||
|
|
IndexList index2;
|
||
|
|
IndexList index3;
|
||
|
|
PositionList offset;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto bound = getBound4(coord[i], array.size(i), boundMode);
|
||
|
|
index0[i] = bound.i0;
|
||
|
|
index1[i] = bound.i1;
|
||
|
|
index2[i] = bound.i2;
|
||
|
|
index3[i] = bound.i3;
|
||
|
|
offset[i] = bound.offset;
|
||
|
|
}
|
||
|
|
|
||
|
|
WeightList xweights = weightFunction(offset[0]);
|
||
|
|
WeightList yweights = weightFunction(offset[1]);
|
||
|
|
|
||
|
|
return
|
||
|
|
xweights[0] * (
|
||
|
|
yweights[0] * array(index0[0], index0[1]) +
|
||
|
|
yweights[1] * array(index0[0], index1[1]) +
|
||
|
|
yweights[2] * array(index0[0], index2[1]) +
|
||
|
|
yweights[3] * array(index0[0], index3[1])
|
||
|
|
) +
|
||
|
|
xweights[1] * (
|
||
|
|
yweights[0] * array(index1[0], index0[1]) +
|
||
|
|
yweights[1] * array(index1[0], index1[1]) +
|
||
|
|
yweights[2] * array(index1[0], index2[1]) +
|
||
|
|
yweights[3] * array(index1[0], index3[1])
|
||
|
|
) +
|
||
|
|
xweights[2] * (
|
||
|
|
yweights[0] * array(index2[0], index0[1]) +
|
||
|
|
yweights[1] * array(index2[0], index1[1]) +
|
||
|
|
yweights[2] * array(index2[0], index2[1]) +
|
||
|
|
yweights[3] * array(index2[0], index3[1])
|
||
|
|
) +
|
||
|
|
xweights[3] * (
|
||
|
|
yweights[0] * array(index3[0], index0[1]) +
|
||
|
|
yweights[1] * array(index3[0], index1[1]) +
|
||
|
|
yweights[2] * array(index3[0], index2[1]) +
|
||
|
|
yweights[3] * array(index3[0], index3[1])
|
||
|
|
);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
// Template specializations for Rank 3
|
||
|
|
|
||
|
|
template <typename ElementT, typename PositionT>
|
||
|
|
struct MultiArrayInterpolator2<MultiArray<ElementT, 3>, PositionT> {
|
||
|
|
typedef Star::MultiArray<ElementT, 3> MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = 3;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 2> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayInterpolator2(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
IndexList imin;
|
||
|
|
IndexList imax;
|
||
|
|
PositionList offset;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto bound = getBound2(coord[i], array.size(i), boundMode);
|
||
|
|
imin[i] = bound.i0;
|
||
|
|
imax[i] = bound.i1;
|
||
|
|
offset[i] = bound.offset;
|
||
|
|
}
|
||
|
|
|
||
|
|
WeightList xweights = weightFunction(offset[0]);
|
||
|
|
WeightList yweights = weightFunction(offset[1]);
|
||
|
|
WeightList zweights = weightFunction(offset[2]);
|
||
|
|
|
||
|
|
return
|
||
|
|
xweights[0] * (
|
||
|
|
yweights[0] * (
|
||
|
|
zweights[0] * array(imin[0], imin[1], imin[2]) +
|
||
|
|
zweights[1] * array(imin[0], imin[1], imax[2])
|
||
|
|
) +
|
||
|
|
yweights[1] * (
|
||
|
|
zweights[0] * array(imin[0], imax[1], imin[2]) +
|
||
|
|
zweights[1] * array(imin[0], imax[1], imax[2])
|
||
|
|
)
|
||
|
|
) +
|
||
|
|
xweights[1] * (
|
||
|
|
yweights[0] * (
|
||
|
|
zweights[0] * array(imax[0], imin[1], imin[2]) +
|
||
|
|
zweights[1] * array(imax[0], imin[1], imax[2])
|
||
|
|
) +
|
||
|
|
yweights[1] * (
|
||
|
|
zweights[0] * array(imax[0], imax[1], imin[2]) +
|
||
|
|
zweights[1] * array(imax[0], imax[1], imax[2])
|
||
|
|
)
|
||
|
|
);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename ElementT, typename PositionT>
|
||
|
|
struct MultiArrayInterpolator4<MultiArray<ElementT, 3>, PositionT> {
|
||
|
|
typedef Star::MultiArray<ElementT, 3> MultiArray;
|
||
|
|
typedef PositionT Position;
|
||
|
|
|
||
|
|
typedef typename MultiArray::Element Element;
|
||
|
|
static size_t const Rank = 3;
|
||
|
|
|
||
|
|
typedef Array<size_t, Rank> IndexList;
|
||
|
|
typedef Array<size_t, Rank> SizeList;
|
||
|
|
typedef Array<Position, Rank> PositionList;
|
||
|
|
typedef Array<Position, 4> WeightList;
|
||
|
|
|
||
|
|
typedef std::function<WeightList(Position)> WeightFunction;
|
||
|
|
|
||
|
|
WeightFunction weightFunction;
|
||
|
|
BoundMode boundMode;
|
||
|
|
|
||
|
|
MultiArrayInterpolator4(WeightFunction wf, BoundMode b = BoundMode::Clamp)
|
||
|
|
: weightFunction(wf), boundMode(b) {}
|
||
|
|
|
||
|
|
Element interpolate(MultiArray const& array, PositionList const& coord) const {
|
||
|
|
IndexList index0;
|
||
|
|
IndexList index1;
|
||
|
|
IndexList index2;
|
||
|
|
IndexList index3;
|
||
|
|
PositionList offset;
|
||
|
|
|
||
|
|
for (size_t i = 0; i < Rank; ++i) {
|
||
|
|
auto bound = getBound4(coord[i], array.size(i), boundMode);
|
||
|
|
index0[i] = bound.i0;
|
||
|
|
index1[i] = bound.i1;
|
||
|
|
index2[i] = bound.i2;
|
||
|
|
index3[i] = bound.i3;
|
||
|
|
offset[i] = bound.offset;
|
||
|
|
}
|
||
|
|
|
||
|
|
WeightList xweights = weightFunction(offset[0]);
|
||
|
|
WeightList yweights = weightFunction(offset[1]);
|
||
|
|
WeightList zweights = weightFunction(offset[2]);
|
||
|
|
|
||
|
|
return
|
||
|
|
xweights[0] * (
|
||
|
|
yweights[0] * (
|
||
|
|
zweights[0] * array(index0[0], index0[1], index0[2]) +
|
||
|
|
zweights[1] * array(index0[0], index0[1], index1[2]) +
|
||
|
|
zweights[2] * array(index0[0], index0[1], index2[2]) +
|
||
|
|
zweights[3] * array(index0[0], index0[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[1] * (
|
||
|
|
zweights[0] * array(index0[0], index1[1], index0[2]) +
|
||
|
|
zweights[1] * array(index0[0], index1[1], index1[2]) +
|
||
|
|
zweights[2] * array(index0[0], index1[1], index2[2]) +
|
||
|
|
zweights[3] * array(index0[0], index1[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[2] * (
|
||
|
|
zweights[0] * array(index0[0], index2[1], index0[2]) +
|
||
|
|
zweights[1] * array(index0[0], index2[1], index1[2]) +
|
||
|
|
zweights[2] * array(index0[0], index2[1], index2[2]) +
|
||
|
|
zweights[3] * array(index0[0], index2[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[3] * (
|
||
|
|
zweights[0] * array(index0[0], index3[1], index0[2]) +
|
||
|
|
zweights[1] * array(index0[0], index3[1], index1[2]) +
|
||
|
|
zweights[2] * array(index0[0], index3[1], index2[2]) +
|
||
|
|
zweights[3] * array(index0[0], index3[1], index3[2])
|
||
|
|
)
|
||
|
|
) +
|
||
|
|
xweights[1] * (
|
||
|
|
yweights[0] * (
|
||
|
|
zweights[0] * array(index1[0], index0[1], index0[2]) +
|
||
|
|
zweights[1] * array(index1[0], index0[1], index1[2]) +
|
||
|
|
zweights[2] * array(index1[0], index0[1], index2[2]) +
|
||
|
|
zweights[3] * array(index1[0], index0[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[1] * (
|
||
|
|
zweights[0] * array(index1[0], index1[1], index0[2]) +
|
||
|
|
zweights[1] * array(index1[0], index1[1], index1[2]) +
|
||
|
|
zweights[2] * array(index1[0], index1[1], index2[2]) +
|
||
|
|
zweights[3] * array(index1[0], index1[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[2] * (
|
||
|
|
zweights[0] * array(index1[0], index2[1], index0[2]) +
|
||
|
|
zweights[1] * array(index1[0], index2[1], index1[2]) +
|
||
|
|
zweights[2] * array(index1[0], index2[1], index2[2]) +
|
||
|
|
zweights[3] * array(index1[0], index2[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[3] * (
|
||
|
|
zweights[0] * array(index1[0], index3[1], index0[2]) +
|
||
|
|
zweights[1] * array(index1[0], index3[1], index1[2]) +
|
||
|
|
zweights[2] * array(index1[0], index3[1], index2[2]) +
|
||
|
|
zweights[3] * array(index1[0], index3[1], index3[2])
|
||
|
|
)
|
||
|
|
) +
|
||
|
|
xweights[2] * (
|
||
|
|
yweights[0] * (
|
||
|
|
zweights[0] * array(index2[0], index0[1], index0[2]) +
|
||
|
|
zweights[1] * array(index2[0], index0[1], index1[2]) +
|
||
|
|
zweights[2] * array(index2[0], index0[1], index2[2]) +
|
||
|
|
zweights[3] * array(index2[0], index0[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[1] * (
|
||
|
|
zweights[0] * array(index2[0], index1[1], index0[2]) +
|
||
|
|
zweights[1] * array(index2[0], index1[1], index1[2]) +
|
||
|
|
zweights[2] * array(index2[0], index1[1], index2[2]) +
|
||
|
|
zweights[3] * array(index2[0], index1[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[2] * (
|
||
|
|
zweights[0] * array(index2[0], index2[1], index0[2]) +
|
||
|
|
zweights[1] * array(index2[0], index2[1], index1[2]) +
|
||
|
|
zweights[2] * array(index2[0], index2[1], index2[2]) +
|
||
|
|
zweights[3] * array(index2[0], index2[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[3] * (
|
||
|
|
zweights[0] * array(index2[0], index3[1], index0[2]) +
|
||
|
|
zweights[1] * array(index2[0], index3[1], index1[2]) +
|
||
|
|
zweights[2] * array(index2[0], index3[1], index2[2]) +
|
||
|
|
zweights[3] * array(index2[0], index3[1], index3[2])
|
||
|
|
)
|
||
|
|
) +
|
||
|
|
xweights[3] * (
|
||
|
|
yweights[0] * (
|
||
|
|
zweights[0] * array(index3[0], index0[1], index0[2]) +
|
||
|
|
zweights[1] * array(index3[0], index0[1], index1[2]) +
|
||
|
|
zweights[2] * array(index3[0], index0[1], index2[2]) +
|
||
|
|
zweights[3] * array(index3[0], index0[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[1] * (
|
||
|
|
zweights[0] * array(index3[0], index1[1], index0[2]) +
|
||
|
|
zweights[1] * array(index3[0], index1[1], index1[2]) +
|
||
|
|
zweights[2] * array(index3[0], index1[1], index2[2]) +
|
||
|
|
zweights[3] * array(index3[0], index1[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[2] * (
|
||
|
|
zweights[0] * array(index3[0], index2[1], index0[2]) +
|
||
|
|
zweights[1] * array(index3[0], index2[1], index1[2]) +
|
||
|
|
zweights[2] * array(index3[0], index2[1], index2[2]) +
|
||
|
|
zweights[3] * array(index3[0], index2[1], index3[2])
|
||
|
|
) +
|
||
|
|
yweights[3] * (
|
||
|
|
zweights[0] * array(index3[0], index3[1], index0[2]) +
|
||
|
|
zweights[1] * array(index3[0], index3[1], index1[2]) +
|
||
|
|
zweights[2] * array(index3[0], index3[1], index2[2]) +
|
||
|
|
zweights[3] * array(index3[0], index3[1], index3[2])
|
||
|
|
)
|
||
|
|
);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|