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| 1 | // Copyright Contributors to the OpenVDB Project | ||
| 2 | // SPDX-License-Identifier: MPL-2.0 | ||
| 3 | // | ||
| 4 | /// @author Ken Museth | ||
| 5 | /// | ||
| 6 | /// @file Stencils.h | ||
| 7 | /// | ||
| 8 | /// @brief Defines various finite difference stencils by means of the | ||
| 9 | /// "curiously recurring template pattern" on a BaseStencil | ||
| 10 | /// that caches stencil values and stores a ValueAccessor for | ||
| 11 | /// fast lookup. | ||
| 12 | |||
| 13 | #ifndef OPENVDB_MATH_STENCILS_HAS_BEEN_INCLUDED | ||
| 14 | #define OPENVDB_MATH_STENCILS_HAS_BEEN_INCLUDED | ||
| 15 | |||
| 16 | #include <algorithm> | ||
| 17 | #include <vector> // for std::vector | ||
| 18 | #include <bitset> // for std::bitset | ||
| 19 | #include <openvdb/math/Math.h> // for Pow2, needed by WENO and Godunov | ||
| 20 | #include <openvdb/Types.h> // for Real | ||
| 21 | #include <openvdb/math/Coord.h> // for Coord | ||
| 22 | #include <openvdb/math/FiniteDifference.h> // for WENO5 and GodunovsNormSqrd | ||
| 23 | #include <openvdb/tree/ValueAccessor.h> | ||
| 24 | |||
| 25 | namespace openvdb { | ||
| 26 | OPENVDB_USE_VERSION_NAMESPACE | ||
| 27 | namespace OPENVDB_VERSION_NAME { | ||
| 28 | namespace math { | ||
| 29 | |||
| 30 | |||
| 31 | //////////////////////////////////////// | ||
| 32 | |||
| 33 | template<typename DerivedType, typename GridT, bool IsSafe> | ||
| 34 | ✗ | class BaseStencil | |
| 35 | { | ||
| 36 | public: | ||
| 37 | typedef GridT GridType; | ||
| 38 | typedef typename GridT::TreeType TreeType; | ||
| 39 | typedef typename GridT::ValueType ValueType; | ||
| 40 | typedef tree::ValueAccessor<const TreeType, IsSafe> AccessorType; | ||
| 41 | typedef std::vector<ValueType> BufferType; | ||
| 42 | typedef typename BufferType::iterator IterType; | ||
| 43 | |||
| 44 | /// @brief Initialize the stencil buffer with the values of voxel (i, j, k) | ||
| 45 | /// and its neighbors. | ||
| 46 | /// @param ijk Index coordinates of stencil center | ||
| 47 | 1608148 | inline void moveTo(const Coord& ijk) | |
| 48 | { | ||
| 49 | 1608148 | mCenter = ijk; | |
| 50 | 1608148 | mValues[0] = mAcc.getValue(ijk); | |
| 51 | 1608148 | static_cast<DerivedType&>(*this).init(mCenter); | |
| 52 | 1608148 | } | |
| 53 | |||
| 54 | /// @brief Initialize the stencil buffer with the values of voxel (i, j, k) | ||
| 55 | /// and its neighbors. The method also takes a value of the center | ||
| 56 | /// element of the stencil, assuming it is already known. | ||
| 57 | /// @param ijk Index coordinates of stnecil center | ||
| 58 | /// @param centerValue Value of the center element of the stencil | ||
| 59 | inline void moveTo(const Coord& ijk, const ValueType& centerValue) | ||
| 60 | { | ||
| 61 |
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|
1969497 | mCenter = ijk; |
| 62 | 1969497 | mValues[0] = centerValue; | |
| 63 |
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|
1969497 | static_cast<DerivedType&>(*this).init(mCenter); |
| 64 | 1969497 | } | |
| 65 | |||
| 66 | /// @brief Initialize the stencil buffer with the values of voxel | ||
| 67 | /// (x, y, z) and its neighbors. | ||
| 68 | /// | ||
| 69 | /// @note This version is slightly faster than the one above, since | ||
| 70 | /// the center voxel's value is read directly from the iterator. | ||
| 71 | template<typename IterType> | ||
| 72 | 29262568 | inline void moveTo(const IterType& iter) | |
| 73 | { | ||
| 74 | 29262568 | mCenter = iter.getCoord(); | |
| 75 | 29262568 | mValues[0] = *iter; | |
| 76 | 29262568 | static_cast<DerivedType&>(*this).init(mCenter); | |
| 77 | 29262568 | } | |
| 78 | |||
| 79 | /// @brief Initialize the stencil buffer with the values of voxel (x, y, z) | ||
| 80 | /// and its neighbors. | ||
| 81 | /// @param xyz Floating point voxel coordinates of stencil center | ||
| 82 | /// @details This method will check to see if it is necessary to | ||
| 83 | /// update the stencil based on the cached index coordinates of | ||
| 84 | /// the center point. | ||
| 85 | template<typename RealType> | ||
| 86 | 1934820 | inline void moveTo(const Vec3<RealType>& xyz) | |
| 87 | { | ||
| 88 | 1934820 | Coord ijk = Coord::floor(xyz); | |
| 89 | 1498800 | if (ijk != mCenter) this->moveTo(ijk); | |
| 90 | 1934820 | } | |
| 91 | |||
| 92 | /// @brief Return the value from the stencil buffer with linear | ||
| 93 | /// offset pos. | ||
| 94 | /// | ||
| 95 | /// @note The default (@a pos = 0) corresponds to the first element | ||
| 96 | /// which is typically the center point of the stencil. | ||
| 97 | 930180 | inline const ValueType& getValue(unsigned int pos = 0) const | |
| 98 | { | ||
| 99 |
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3386723 | assert(pos < mValues.size()); |
| 100 | 930180 | return mValues[pos]; | |
| 101 | } | ||
| 102 | |||
| 103 | /// @brief Return the value at the specified location relative to the center of the stencil | ||
| 104 | template<int i, int j, int k> | ||
| 105 | inline const ValueType& getValue() const | ||
| 106 | { | ||
| 107 | return mValues[static_cast<const DerivedType&>(*this).template pos<i,j,k>()]; | ||
| 108 | } | ||
| 109 | |||
| 110 | /// @brief Set the value at the specified location relative to the center of the stencil | ||
| 111 | template<int i, int j, int k> | ||
| 112 | inline void setValue(const ValueType& value) | ||
| 113 | { | ||
| 114 | 37310668 | mValues[static_cast<const DerivedType&>(*this).template pos<i,j,k>()] = value; | |
| 115 | } | ||
| 116 | |||
| 117 | /// @brief Return the size of the stencil buffer. | ||
| 118 | inline int size() { return mValues.size(); } | ||
| 119 | |||
| 120 | /// @brief Return the median value of the current stencil. | ||
| 121 | 1580216 | inline ValueType median() const | |
| 122 | { | ||
| 123 | 1580216 | BufferType tmp(mValues);//local copy | |
| 124 |
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1580216 | assert(!tmp.empty()); |
| 125 | 1580216 | size_t midpoint = (tmp.size() - 1) >> 1; | |
| 126 | // Partially sort the vector until the median value is at the midpoint. | ||
| 127 | #if !defined(_MSC_VER) || _MSC_VER < 1924 | ||
| 128 | 1580216 | std::nth_element(tmp.begin(), tmp.begin() + midpoint, tmp.end()); | |
| 129 | #else | ||
| 130 | // Workaround MSVC bool warning C4804 unsafe use of type 'bool' | ||
| 131 | std::nth_element(tmp.begin(), tmp.begin() + midpoint, tmp.end(), | ||
| 132 | std::less<ValueType>()); | ||
| 133 | #endif | ||
| 134 |
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1580216 | return tmp[midpoint]; |
| 135 | } | ||
| 136 | |||
| 137 | /// @brief Return the mean value of the current stencil. | ||
| 138 | inline ValueType mean() const | ||
| 139 | { | ||
| 140 | ValueType sum = 0.0; | ||
| 141 |
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35601440 | for (int n = 0, s = int(mValues.size()); n < s; ++n) sum += mValues[n]; |
| 142 |
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823480 | return sum / ValueType(mValues.size()); |
| 143 | } | ||
| 144 | |||
| 145 | /// @brief Return the smallest value in the stencil buffer. | ||
| 146 | inline ValueType min() const | ||
| 147 | { | ||
| 148 | IterType iter = std::min_element(mValues.begin(), mValues.end()); | ||
| 149 | return *iter; | ||
| 150 | } | ||
| 151 | |||
| 152 | /// @brief Return the largest value in the stencil buffer. | ||
| 153 | inline ValueType max() const | ||
| 154 | { | ||
| 155 | IterType iter = std::max_element(mValues.begin(), mValues.end()); | ||
| 156 | return *iter; | ||
| 157 | } | ||
| 158 | |||
| 159 | /// @brief Return the coordinates of the center point of the stencil. | ||
| 160 | inline const Coord& getCenterCoord() const { return mCenter; } | ||
| 161 | |||
| 162 | /// @brief Return the value at the center of the stencil | ||
| 163 | inline const ValueType& getCenterValue() const { return mValues[0]; } | ||
| 164 | |||
| 165 | /// @brief Return true if the center of the stencil intersects the | ||
| 166 | /// iso-contour specified by the isoValue | ||
| 167 |
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140 | inline bool intersects(const ValueType &isoValue = zeroVal<ValueType>()) const |
| 168 | { | ||
| 169 | 140 | const bool less = this->getValue< 0, 0, 0>() < isoValue; | |
| 170 | 214 | return (less ^ (this->getValue<-1, 0, 0>() < isoValue)) || | |
| 171 |
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74 | (less ^ (this->getValue< 1, 0, 0>() < isoValue)) || |
| 172 |
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40 | (less ^ (this->getValue< 0,-1, 0>() < isoValue)) || |
| 173 |
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23 | (less ^ (this->getValue< 0, 1, 0>() < isoValue)) || |
| 174 |
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153 | (less ^ (this->getValue< 0, 0,-1>() < isoValue)) || |
| 175 |
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8 | (less ^ (this->getValue< 0, 0, 1>() < isoValue)) ; |
| 176 | } | ||
| 177 | |||
| 178 | /// @brief Return true a bit-mask where the 6 bits indicates if the | ||
| 179 | /// center of the stencil intersects the iso-contour specified by the isoValue. | ||
| 180 | /// | ||
| 181 | /// @note There are 2^6 = 64 different possible cases, including no intersections! | ||
| 182 | /// | ||
| 183 | /// @details The ordering of bit mask is ( -x, +x, -y, +y, -z, +z ), so to | ||
| 184 | /// check if there is an intersection in -y use mask.test(2) where mask is | ||
| 185 | /// ther return value from this function. To check if there are any | ||
| 186 | /// intersections use mask.any(), and for no intersections use mask.none(). | ||
| 187 | /// To count the number of intersections use mask.count(). | ||
| 188 | 3892260 | inline std::bitset<6> intersectionMask(const ValueType &isoValue = zeroVal<ValueType>()) const | |
| 189 | { | ||
| 190 |
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3892260 | std::bitset<6> mask; |
| 191 | 3892260 | const bool less = this->getValue< 0, 0, 0>() < isoValue; | |
| 192 |
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3892260 | mask[0] = less ^ (this->getValue<-1, 0, 0>() < isoValue); |
| 193 |
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3892260 | mask[1] = less ^ (this->getValue< 1, 0, 0>() < isoValue); |
| 194 |
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3892260 | mask[2] = less ^ (this->getValue< 0,-1, 0>() < isoValue); |
| 195 |
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3892260 | mask[3] = less ^ (this->getValue< 0, 1, 0>() < isoValue); |
| 196 |
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3892260 | mask[4] = less ^ (this->getValue< 0, 0,-1>() < isoValue); |
| 197 |
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3892260 | mask[5] = less ^ (this->getValue< 0, 0, 1>() < isoValue); |
| 198 | 3892260 | return mask; | |
| 199 | } | ||
| 200 | |||
| 201 | /// @brief Return a const reference to the grid from which this | ||
| 202 | /// stencil was constructed. | ||
| 203 | 1460326 | inline const GridType& grid() const { return *mGrid; } | |
| 204 | |||
| 205 | /// @brief Return a const reference to the ValueAccessor | ||
| 206 | /// associated with this Stencil. | ||
| 207 | inline const AccessorType& accessor() const { return mAcc; } | ||
| 208 | |||
| 209 | protected: | ||
| 210 | // Constructor is protected to prevent direct instantiation. | ||
| 211 | 34041 | BaseStencil(const GridType& grid, int size) | |
| 212 | : mGrid(&grid) | ||
| 213 | , mAcc(grid.tree()) | ||
| 214 | , mValues(size) | ||
| 215 |
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34041 | , mCenter(Coord::max()) |
| 216 | { | ||
| 217 | 34041 | } | |
| 218 | |||
| 219 | const GridType* mGrid; | ||
| 220 | AccessorType mAcc; | ||
| 221 | BufferType mValues; | ||
| 222 | Coord mCenter; | ||
| 223 | |||
| 224 | }; // BaseStencil class | ||
| 225 | |||
| 226 | |||
| 227 | //////////////////////////////////////// | ||
| 228 | |||
| 229 | |||
| 230 | namespace { // anonymous namespace for stencil-layout map | ||
| 231 | |||
| 232 | // the seven point stencil | ||
| 233 | template<int i, int j, int k> struct SevenPt {}; | ||
| 234 | template<> struct SevenPt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 235 | template<> struct SevenPt< 1, 0, 0> { enum { idx = 1 }; }; | ||
| 236 | template<> struct SevenPt< 0, 1, 0> { enum { idx = 2 }; }; | ||
| 237 | template<> struct SevenPt< 0, 0, 1> { enum { idx = 3 }; }; | ||
| 238 | template<> struct SevenPt<-1, 0, 0> { enum { idx = 4 }; }; | ||
| 239 | template<> struct SevenPt< 0,-1, 0> { enum { idx = 5 }; }; | ||
| 240 | template<> struct SevenPt< 0, 0,-1> { enum { idx = 6 }; }; | ||
| 241 | |||
| 242 | } | ||
| 243 | |||
| 244 | |||
| 245 | template<typename GridT, bool IsSafe = true> | ||
| 246 |
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900 | class SevenPointStencil: public BaseStencil<SevenPointStencil<GridT, IsSafe>, GridT, IsSafe> |
| 247 | { | ||
| 248 | typedef SevenPointStencil<GridT, IsSafe> SelfT; | ||
| 249 | typedef BaseStencil<SelfT, GridT, IsSafe> BaseType; | ||
| 250 | public: | ||
| 251 | typedef GridT GridType; | ||
| 252 | typedef typename GridT::TreeType TreeType; | ||
| 253 | typedef typename GridT::ValueType ValueType; | ||
| 254 | |||
| 255 | static const int SIZE = 7; | ||
| 256 | |||
| 257 |
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900 | SevenPointStencil(const GridT& grid): BaseType(grid, SIZE) {} |
| 258 | |||
| 259 | /// Return linear offset for the specified stencil point relative to its center | ||
| 260 | template<int i, int j, int k> | ||
| 261 | unsigned int pos() const { return SevenPt<i,j,k>::idx; } | ||
| 262 | |||
| 263 | private: | ||
| 264 | 81946 | inline void init(const Coord& ijk) | |
| 265 | { | ||
| 266 | 81946 | BaseType::template setValue<-1, 0, 0>(mAcc.getValue(ijk.offsetBy(-1, 0, 0))); | |
| 267 | 81946 | BaseType::template setValue< 1, 0, 0>(mAcc.getValue(ijk.offsetBy( 1, 0, 0))); | |
| 268 | |||
| 269 | 81946 | BaseType::template setValue< 0,-1, 0>(mAcc.getValue(ijk.offsetBy( 0,-1, 0))); | |
| 270 | 81946 | BaseType::template setValue< 0, 1, 0>(mAcc.getValue(ijk.offsetBy( 0, 1, 0))); | |
| 271 | |||
| 272 | 81946 | BaseType::template setValue< 0, 0,-1>(mAcc.getValue(ijk.offsetBy( 0, 0,-1))); | |
| 273 | 81946 | BaseType::template setValue< 0, 0, 1>(mAcc.getValue(ijk.offsetBy( 0, 0, 1))); | |
| 274 | 81946 | } | |
| 275 | |||
| 276 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 277 | using BaseType::mAcc; | ||
| 278 | using BaseType::mValues; | ||
| 279 | };// SevenPointStencil class | ||
| 280 | |||
| 281 | |||
| 282 | //////////////////////////////////////// | ||
| 283 | |||
| 284 | |||
| 285 | namespace { // anonymous namespace for stencil-layout map | ||
| 286 | |||
| 287 | // the eight point box stencil | ||
| 288 | template<int i, int j, int k> struct BoxPt {}; | ||
| 289 | template<> struct BoxPt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 290 | template<> struct BoxPt< 0, 0, 1> { enum { idx = 1 }; }; | ||
| 291 | template<> struct BoxPt< 0, 1, 1> { enum { idx = 2 }; }; | ||
| 292 | template<> struct BoxPt< 0, 1, 0> { enum { idx = 3 }; }; | ||
| 293 | template<> struct BoxPt< 1, 0, 0> { enum { idx = 4 }; }; | ||
| 294 | template<> struct BoxPt< 1, 0, 1> { enum { idx = 5 }; }; | ||
| 295 | template<> struct BoxPt< 1, 1, 1> { enum { idx = 6 }; }; | ||
| 296 | template<> struct BoxPt< 1, 1, 0> { enum { idx = 7 }; }; | ||
| 297 | } | ||
| 298 | |||
| 299 | template<typename GridT, bool IsSafe = true> | ||
| 300 | 11 | class BoxStencil: public BaseStencil<BoxStencil<GridT, IsSafe>, GridT, IsSafe> | |
| 301 | { | ||
| 302 | typedef BoxStencil<GridT, IsSafe> SelfT; | ||
| 303 | typedef BaseStencil<SelfT, GridT, IsSafe> BaseType; | ||
| 304 | public: | ||
| 305 | typedef GridT GridType; | ||
| 306 | typedef typename GridT::TreeType TreeType; | ||
| 307 | typedef typename GridT::ValueType ValueType; | ||
| 308 | |||
| 309 | static const int SIZE = 8; | ||
| 310 | |||
| 311 |
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11 | BoxStencil(const GridType& grid): BaseType(grid, SIZE) {} |
| 312 | |||
| 313 | /// Return linear offset for the specified stencil point relative to its center | ||
| 314 | template<int i, int j, int k> | ||
| 315 | unsigned int pos() const { return BoxPt<i,j,k>::idx; } | ||
| 316 | |||
| 317 | /// @brief Return true if the center of the stencil intersects the | ||
| 318 | /// iso-contour specified by the isoValue | ||
| 319 | inline bool intersects(const ValueType &isoValue = zeroVal<ValueType>()) const | ||
| 320 | { | ||
| 321 | const bool less = mValues[0] < isoValue; | ||
| 322 | return (less ^ (mValues[1] < isoValue)) || | ||
| 323 | (less ^ (mValues[2] < isoValue)) || | ||
| 324 | (less ^ (mValues[3] < isoValue)) || | ||
| 325 | (less ^ (mValues[4] < isoValue)) || | ||
| 326 | (less ^ (mValues[5] < isoValue)) || | ||
| 327 | (less ^ (mValues[6] < isoValue)) || | ||
| 328 | (less ^ (mValues[7] < isoValue)) ; | ||
| 329 | } | ||
| 330 | |||
| 331 | /// @brief Return the trilinear interpolation at the normalized position. | ||
| 332 | /// @param xyz Floating point coordinate position. | ||
| 333 | /// @warning It is assumed that the stencil has already been moved | ||
| 334 | /// to the relevant voxel position, e.g. using moveTo(xyz). | ||
| 335 | /// @note Trilinear interpolation kernal reads as: | ||
| 336 | /// v000 (1-u)(1-v)(1-w) + v001 (1-u)(1-v)w + v010 (1-u)v(1-w) + v011 (1-u)vw | ||
| 337 | /// + v100 u(1-v)(1-w) + v101 u(1-v)w + v110 uv(1-w) + v111 uvw | ||
| 338 |
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1934820 | inline ValueType interpolation(const math::Vec3<ValueType>& xyz) const |
| 339 | { | ||
| 340 | OPENVDB_NO_TYPE_CONVERSION_WARNING_BEGIN | ||
| 341 | 1934820 | const ValueType u = xyz[0] - BaseType::mCenter[0]; | |
| 342 | 1934820 | const ValueType v = xyz[1] - BaseType::mCenter[1]; | |
| 343 | 1934820 | const ValueType w = xyz[2] - BaseType::mCenter[2]; | |
| 344 | OPENVDB_NO_TYPE_CONVERSION_WARNING_END | ||
| 345 | |||
| 346 |
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1934820 | assert(u>=0 && u<=1); |
| 347 |
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1934820 | assert(v>=0 && v<=1); |
| 348 |
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1934820 | assert(w>=0 && w<=1); |
| 349 | |||
| 350 | 1934820 | ValueType V = BaseType::template getValue<0,0,0>(); | |
| 351 | 1934820 | ValueType A = static_cast<ValueType>(V + (BaseType::template getValue<0,0,1>() - V) * w); | |
| 352 | 1934820 | V = BaseType::template getValue< 0, 1, 0>(); | |
| 353 | 1934820 | ValueType B = static_cast<ValueType>(V + (BaseType::template getValue<0,1,1>() - V) * w); | |
| 354 | 1934820 | ValueType C = static_cast<ValueType>(A + (B - A) * v); | |
| 355 | |||
| 356 | 1934820 | V = BaseType::template getValue<1,0,0>(); | |
| 357 | 1934820 | A = static_cast<ValueType>(V + (BaseType::template getValue<1,0,1>() - V) * w); | |
| 358 | 1934820 | V = BaseType::template getValue<1,1,0>(); | |
| 359 | 1934820 | B = static_cast<ValueType>(V + (BaseType::template getValue<1,1,1>() - V) * w); | |
| 360 | 1934820 | ValueType D = static_cast<ValueType>(A + (B - A) * v); | |
| 361 | |||
| 362 | 1934820 | return static_cast<ValueType>(C + (D - C) * u); | |
| 363 | } | ||
| 364 | |||
| 365 | /// @brief Return the gradient in world space of the trilinear interpolation kernel. | ||
| 366 | /// @param xyz Floating point coordinate position. | ||
| 367 | /// @warning It is assumed that the stencil has already been moved | ||
| 368 | /// to the relevant voxel position, e.g. using moveTo(xyz). | ||
| 369 | /// @note Computed as partial derivatives of the trilinear interpolation kernel: | ||
| 370 | /// v000 (1-u)(1-v)(1-w) + v001 (1-u)(1-v)w + v010 (1-u)v(1-w) + v011 (1-u)vw | ||
| 371 | /// + v100 u(1-v)(1-w) + v101 u(1-v)w + v110 uv(1-w) + v111 uvw | ||
| 372 | ✗ | inline math::Vec3<ValueType> gradient(const math::Vec3<ValueType>& xyz) const | |
| 373 | { | ||
| 374 | OPENVDB_NO_TYPE_CONVERSION_WARNING_BEGIN | ||
| 375 | ✗ | const ValueType u = xyz[0] - BaseType::mCenter[0]; | |
| 376 | ✗ | const ValueType v = xyz[1] - BaseType::mCenter[1]; | |
| 377 | ✗ | const ValueType w = xyz[2] - BaseType::mCenter[2]; | |
| 378 | OPENVDB_NO_TYPE_CONVERSION_WARNING_END | ||
| 379 | |||
| 380 | ✗ | assert(u>=0 && u<=1); | |
| 381 | ✗ | assert(v>=0 && v<=1); | |
| 382 | ✗ | assert(w>=0 && w<=1); | |
| 383 | |||
| 384 | ✗ | ValueType D[4]={BaseType::template getValue<0,0,1>()-BaseType::template getValue<0,0,0>(), | |
| 385 | ✗ | BaseType::template getValue<0,1,1>()-BaseType::template getValue<0,1,0>(), | |
| 386 | ✗ | BaseType::template getValue<1,0,1>()-BaseType::template getValue<1,0,0>(), | |
| 387 | ✗ | BaseType::template getValue<1,1,1>()-BaseType::template getValue<1,1,0>()}; | |
| 388 | |||
| 389 | // Z component | ||
| 390 | ✗ | ValueType A = static_cast<ValueType>(D[0] + (D[1]- D[0]) * v); | |
| 391 | ✗ | ValueType B = static_cast<ValueType>(D[2] + (D[3]- D[2]) * v); | |
| 392 | ✗ | math::Vec3<ValueType> grad(zeroVal<ValueType>(), | |
| 393 | zeroVal<ValueType>(), | ||
| 394 | ✗ | static_cast<ValueType>(A + (B - A) * u)); | |
| 395 | |||
| 396 | ✗ | D[0] = static_cast<ValueType>(BaseType::template getValue<0,0,0>() + D[0] * w); | |
| 397 | ✗ | D[1] = static_cast<ValueType>(BaseType::template getValue<0,1,0>() + D[1] * w); | |
| 398 | ✗ | D[2] = static_cast<ValueType>(BaseType::template getValue<1,0,0>() + D[2] * w); | |
| 399 | ✗ | D[3] = static_cast<ValueType>(BaseType::template getValue<1,1,0>() + D[3] * w); | |
| 400 | |||
| 401 | // X component | ||
| 402 | ✗ | A = static_cast<ValueType>(D[0] + (D[1] - D[0]) * v); | |
| 403 | ✗ | B = static_cast<ValueType>(D[2] + (D[3] - D[2]) * v); | |
| 404 | |||
| 405 | ✗ | grad[0] = B - A; | |
| 406 | |||
| 407 | // Y component | ||
| 408 | A = D[1] - D[0]; | ||
| 409 | B = D[3] - D[2]; | ||
| 410 | |||
| 411 | ✗ | grad[1] = static_cast<ValueType>(A + (B - A) * u); | |
| 412 | |||
| 413 | ✗ | return BaseType::mGrid->transform().baseMap()->applyIJT(grad, xyz); | |
| 414 | } | ||
| 415 | |||
| 416 | private: | ||
| 417 | 1498800 | inline void init(const Coord& ijk) | |
| 418 | { | ||
| 419 | 1498800 | BaseType::template setValue< 0, 0, 1>(mAcc.getValue(ijk.offsetBy( 0, 0, 1))); | |
| 420 | 1498800 | BaseType::template setValue< 0, 1, 1>(mAcc.getValue(ijk.offsetBy( 0, 1, 1))); | |
| 421 | 1498800 | BaseType::template setValue< 0, 1, 0>(mAcc.getValue(ijk.offsetBy( 0, 1, 0))); | |
| 422 | 1498800 | BaseType::template setValue< 1, 0, 0>(mAcc.getValue(ijk.offsetBy( 1, 0, 0))); | |
| 423 | 1498800 | BaseType::template setValue< 1, 0, 1>(mAcc.getValue(ijk.offsetBy( 1, 0, 1))); | |
| 424 | 1498800 | BaseType::template setValue< 1, 1, 1>(mAcc.getValue(ijk.offsetBy( 1, 1, 1))); | |
| 425 | 1498800 | BaseType::template setValue< 1, 1, 0>(mAcc.getValue(ijk.offsetBy( 1, 1, 0))); | |
| 426 | 1498800 | } | |
| 427 | |||
| 428 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 429 | using BaseType::mAcc; | ||
| 430 | using BaseType::mValues; | ||
| 431 | };// BoxStencil class | ||
| 432 | |||
| 433 | |||
| 434 | //////////////////////////////////////// | ||
| 435 | |||
| 436 | |||
| 437 | namespace { // anonymous namespace for stencil-layout map | ||
| 438 | |||
| 439 | // the dense point stencil | ||
| 440 | template<int i, int j, int k> struct DensePt {}; | ||
| 441 | template<> struct DensePt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 442 | |||
| 443 | template<> struct DensePt< 1, 0, 0> { enum { idx = 1 }; }; | ||
| 444 | template<> struct DensePt< 0, 1, 0> { enum { idx = 2 }; }; | ||
| 445 | template<> struct DensePt< 0, 0, 1> { enum { idx = 3 }; }; | ||
| 446 | |||
| 447 | template<> struct DensePt<-1, 0, 0> { enum { idx = 4 }; }; | ||
| 448 | template<> struct DensePt< 0,-1, 0> { enum { idx = 5 }; }; | ||
| 449 | template<> struct DensePt< 0, 0,-1> { enum { idx = 6 }; }; | ||
| 450 | |||
| 451 | template<> struct DensePt<-1,-1, 0> { enum { idx = 7 }; }; | ||
| 452 | template<> struct DensePt< 0,-1,-1> { enum { idx = 8 }; }; | ||
| 453 | template<> struct DensePt<-1, 0,-1> { enum { idx = 9 }; }; | ||
| 454 | |||
| 455 | template<> struct DensePt< 1,-1, 0> { enum { idx = 10 }; }; | ||
| 456 | template<> struct DensePt< 0, 1,-1> { enum { idx = 11 }; }; | ||
| 457 | template<> struct DensePt<-1, 0, 1> { enum { idx = 12 }; }; | ||
| 458 | |||
| 459 | template<> struct DensePt<-1, 1, 0> { enum { idx = 13 }; }; | ||
| 460 | template<> struct DensePt< 0,-1, 1> { enum { idx = 14 }; }; | ||
| 461 | template<> struct DensePt< 1, 0,-1> { enum { idx = 15 }; }; | ||
| 462 | |||
| 463 | template<> struct DensePt< 1, 1, 0> { enum { idx = 16 }; }; | ||
| 464 | template<> struct DensePt< 0, 1, 1> { enum { idx = 17 }; }; | ||
| 465 | template<> struct DensePt< 1, 0, 1> { enum { idx = 18 }; }; | ||
| 466 | } | ||
| 467 | |||
| 468 | |||
| 469 | template<typename GridT, bool IsSafe = true> | ||
| 470 |
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23 | class SecondOrderDenseStencil |
| 471 | : public BaseStencil<SecondOrderDenseStencil<GridT, IsSafe>, GridT, IsSafe > | ||
| 472 | { | ||
| 473 | typedef SecondOrderDenseStencil<GridT, IsSafe> SelfT; | ||
| 474 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 475 | public: | ||
| 476 | typedef GridT GridType; | ||
| 477 | typedef typename GridT::TreeType TreeType; | ||
| 478 | typedef typename GridType::ValueType ValueType; | ||
| 479 | |||
| 480 | static const int SIZE = 19; | ||
| 481 | |||
| 482 |
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13 | SecondOrderDenseStencil(const GridType& grid): BaseType(grid, SIZE) {} |
| 483 | |||
| 484 | /// Return linear offset for the specified stencil point relative to its center | ||
| 485 | template<int i, int j, int k> | ||
| 486 | unsigned int pos() const { return DensePt<i,j,k>::idx; } | ||
| 487 | |||
| 488 | private: | ||
| 489 | 17513 | inline void init(const Coord& ijk) | |
| 490 | { | ||
| 491 | 17513 | mValues[DensePt< 1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 492 | 17513 | mValues[DensePt< 0, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 493 | 17513 | mValues[DensePt< 0, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 494 | |||
| 495 | 17513 | mValues[DensePt<-1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 496 | 17513 | mValues[DensePt< 0,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, -1, 0)); | |
| 497 | 17513 | mValues[DensePt< 0, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, -1)); | |
| 498 | |||
| 499 | 17513 | mValues[DensePt<-1,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, -1, 0)); | |
| 500 | 17513 | mValues[DensePt< 1,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, -1, 0)); | |
| 501 | 17513 | mValues[DensePt<-1, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 1, 0)); | |
| 502 | 17513 | mValues[DensePt< 1, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 1, 0)); | |
| 503 | |||
| 504 | 17513 | mValues[DensePt<-1, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, -1)); | |
| 505 | 17513 | mValues[DensePt< 1, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, -1)); | |
| 506 | 17513 | mValues[DensePt<-1, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 1)); | |
| 507 | 17513 | mValues[DensePt< 1, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 1)); | |
| 508 | |||
| 509 | 17513 | mValues[DensePt< 0,-1,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, -1, -1)); | |
| 510 | 17513 | mValues[DensePt< 0, 1,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, -1)); | |
| 511 | 17513 | mValues[DensePt< 0,-1, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, -1, 1)); | |
| 512 | 17513 | mValues[DensePt< 0, 1, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 1)); | |
| 513 | 17513 | } | |
| 514 | |||
| 515 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 516 | using BaseType::mAcc; | ||
| 517 | using BaseType::mValues; | ||
| 518 | };// SecondOrderDenseStencil class | ||
| 519 | |||
| 520 | |||
| 521 | //////////////////////////////////////// | ||
| 522 | |||
| 523 | |||
| 524 | namespace { // anonymous namespace for stencil-layout map | ||
| 525 | |||
| 526 | // the dense point stencil | ||
| 527 | template<int i, int j, int k> struct ThirteenPt {}; | ||
| 528 | template<> struct ThirteenPt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 529 | |||
| 530 | template<> struct ThirteenPt< 1, 0, 0> { enum { idx = 1 }; }; | ||
| 531 | template<> struct ThirteenPt< 0, 1, 0> { enum { idx = 2 }; }; | ||
| 532 | template<> struct ThirteenPt< 0, 0, 1> { enum { idx = 3 }; }; | ||
| 533 | |||
| 534 | template<> struct ThirteenPt<-1, 0, 0> { enum { idx = 4 }; }; | ||
| 535 | template<> struct ThirteenPt< 0,-1, 0> { enum { idx = 5 }; }; | ||
| 536 | template<> struct ThirteenPt< 0, 0,-1> { enum { idx = 6 }; }; | ||
| 537 | |||
| 538 | template<> struct ThirteenPt< 2, 0, 0> { enum { idx = 7 }; }; | ||
| 539 | template<> struct ThirteenPt< 0, 2, 0> { enum { idx = 8 }; }; | ||
| 540 | template<> struct ThirteenPt< 0, 0, 2> { enum { idx = 9 }; }; | ||
| 541 | |||
| 542 | template<> struct ThirteenPt<-2, 0, 0> { enum { idx = 10 }; }; | ||
| 543 | template<> struct ThirteenPt< 0,-2, 0> { enum { idx = 11 }; }; | ||
| 544 | template<> struct ThirteenPt< 0, 0,-2> { enum { idx = 12 }; }; | ||
| 545 | |||
| 546 | } | ||
| 547 | |||
| 548 | |||
| 549 | template<typename GridT, bool IsSafe = true> | ||
| 550 | 5 | class ThirteenPointStencil | |
| 551 | : public BaseStencil<ThirteenPointStencil<GridT, IsSafe>, GridT, IsSafe> | ||
| 552 | { | ||
| 553 | typedef ThirteenPointStencil<GridT, IsSafe> SelfT; | ||
| 554 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 555 | public: | ||
| 556 | typedef GridT GridType; | ||
| 557 | typedef typename GridT::TreeType TreeType; | ||
| 558 | typedef typename GridType::ValueType ValueType; | ||
| 559 | |||
| 560 | static const int SIZE = 13; | ||
| 561 | |||
| 562 |
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5 | ThirteenPointStencil(const GridType& grid): BaseType(grid, SIZE) {} |
| 563 | |||
| 564 | /// Return linear offset for the specified stencil point relative to its center | ||
| 565 | template<int i, int j, int k> | ||
| 566 | unsigned int pos() const { return ThirteenPt<i,j,k>::idx; } | ||
| 567 | |||
| 568 | private: | ||
| 569 | 8195 | inline void init(const Coord& ijk) | |
| 570 | { | ||
| 571 | 8195 | mValues[ThirteenPt< 2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 0)); | |
| 572 | 8195 | mValues[ThirteenPt< 1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 573 | 8195 | mValues[ThirteenPt<-1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 574 | 8195 | mValues[ThirteenPt<-2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 0)); | |
| 575 | |||
| 576 | 8195 | mValues[ThirteenPt< 0, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 0)); | |
| 577 | 8195 | mValues[ThirteenPt< 0, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 578 | 8195 | mValues[ThirteenPt< 0,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, -1, 0)); | |
| 579 | 8195 | mValues[ThirteenPt< 0,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, -2, 0)); | |
| 580 | |||
| 581 | 8195 | mValues[ThirteenPt< 0, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 2)); | |
| 582 | 8195 | mValues[ThirteenPt< 0, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 583 | 8195 | mValues[ThirteenPt< 0, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, -1)); | |
| 584 | 8195 | mValues[ThirteenPt< 0, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, -2)); | |
| 585 | 8195 | } | |
| 586 | |||
| 587 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 588 | using BaseType::mAcc; | ||
| 589 | using BaseType::mValues; | ||
| 590 | };// ThirteenPointStencil class | ||
| 591 | |||
| 592 | |||
| 593 | //////////////////////////////////////// | ||
| 594 | |||
| 595 | |||
| 596 | namespace { // anonymous namespace for stencil-layout map | ||
| 597 | |||
| 598 | // the 4th-order dense point stencil | ||
| 599 | template<int i, int j, int k> struct FourthDensePt {}; | ||
| 600 | template<> struct FourthDensePt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 601 | |||
| 602 | template<> struct FourthDensePt<-2, 2, 0> { enum { idx = 1 }; }; | ||
| 603 | template<> struct FourthDensePt<-1, 2, 0> { enum { idx = 2 }; }; | ||
| 604 | template<> struct FourthDensePt< 0, 2, 0> { enum { idx = 3 }; }; | ||
| 605 | template<> struct FourthDensePt< 1, 2, 0> { enum { idx = 4 }; }; | ||
| 606 | template<> struct FourthDensePt< 2, 2, 0> { enum { idx = 5 }; }; | ||
| 607 | |||
| 608 | template<> struct FourthDensePt<-2, 1, 0> { enum { idx = 6 }; }; | ||
| 609 | template<> struct FourthDensePt<-1, 1, 0> { enum { idx = 7 }; }; | ||
| 610 | template<> struct FourthDensePt< 0, 1, 0> { enum { idx = 8 }; }; | ||
| 611 | template<> struct FourthDensePt< 1, 1, 0> { enum { idx = 9 }; }; | ||
| 612 | template<> struct FourthDensePt< 2, 1, 0> { enum { idx = 10 }; }; | ||
| 613 | |||
| 614 | template<> struct FourthDensePt<-2, 0, 0> { enum { idx = 11 }; }; | ||
| 615 | template<> struct FourthDensePt<-1, 0, 0> { enum { idx = 12 }; }; | ||
| 616 | template<> struct FourthDensePt< 1, 0, 0> { enum { idx = 13 }; }; | ||
| 617 | template<> struct FourthDensePt< 2, 0, 0> { enum { idx = 14 }; }; | ||
| 618 | |||
| 619 | template<> struct FourthDensePt<-2,-1, 0> { enum { idx = 15 }; }; | ||
| 620 | template<> struct FourthDensePt<-1,-1, 0> { enum { idx = 16 }; }; | ||
| 621 | template<> struct FourthDensePt< 0,-1, 0> { enum { idx = 17 }; }; | ||
| 622 | template<> struct FourthDensePt< 1,-1, 0> { enum { idx = 18 }; }; | ||
| 623 | template<> struct FourthDensePt< 2,-1, 0> { enum { idx = 19 }; }; | ||
| 624 | |||
| 625 | template<> struct FourthDensePt<-2,-2, 0> { enum { idx = 20 }; }; | ||
| 626 | template<> struct FourthDensePt<-1,-2, 0> { enum { idx = 21 }; }; | ||
| 627 | template<> struct FourthDensePt< 0,-2, 0> { enum { idx = 22 }; }; | ||
| 628 | template<> struct FourthDensePt< 1,-2, 0> { enum { idx = 23 }; }; | ||
| 629 | template<> struct FourthDensePt< 2,-2, 0> { enum { idx = 24 }; }; | ||
| 630 | |||
| 631 | |||
| 632 | template<> struct FourthDensePt<-2, 0, 2> { enum { idx = 25 }; }; | ||
| 633 | template<> struct FourthDensePt<-1, 0, 2> { enum { idx = 26 }; }; | ||
| 634 | template<> struct FourthDensePt< 0, 0, 2> { enum { idx = 27 }; }; | ||
| 635 | template<> struct FourthDensePt< 1, 0, 2> { enum { idx = 28 }; }; | ||
| 636 | template<> struct FourthDensePt< 2, 0, 2> { enum { idx = 29 }; }; | ||
| 637 | |||
| 638 | template<> struct FourthDensePt<-2, 0, 1> { enum { idx = 30 }; }; | ||
| 639 | template<> struct FourthDensePt<-1, 0, 1> { enum { idx = 31 }; }; | ||
| 640 | template<> struct FourthDensePt< 0, 0, 1> { enum { idx = 32 }; }; | ||
| 641 | template<> struct FourthDensePt< 1, 0, 1> { enum { idx = 33 }; }; | ||
| 642 | template<> struct FourthDensePt< 2, 0, 1> { enum { idx = 34 }; }; | ||
| 643 | |||
| 644 | template<> struct FourthDensePt<-2, 0,-1> { enum { idx = 35 }; }; | ||
| 645 | template<> struct FourthDensePt<-1, 0,-1> { enum { idx = 36 }; }; | ||
| 646 | template<> struct FourthDensePt< 0, 0,-1> { enum { idx = 37 }; }; | ||
| 647 | template<> struct FourthDensePt< 1, 0,-1> { enum { idx = 38 }; }; | ||
| 648 | template<> struct FourthDensePt< 2, 0,-1> { enum { idx = 39 }; }; | ||
| 649 | |||
| 650 | template<> struct FourthDensePt<-2, 0,-2> { enum { idx = 40 }; }; | ||
| 651 | template<> struct FourthDensePt<-1, 0,-2> { enum { idx = 41 }; }; | ||
| 652 | template<> struct FourthDensePt< 0, 0,-2> { enum { idx = 42 }; }; | ||
| 653 | template<> struct FourthDensePt< 1, 0,-2> { enum { idx = 43 }; }; | ||
| 654 | template<> struct FourthDensePt< 2, 0,-2> { enum { idx = 44 }; }; | ||
| 655 | |||
| 656 | |||
| 657 | template<> struct FourthDensePt< 0,-2, 2> { enum { idx = 45 }; }; | ||
| 658 | template<> struct FourthDensePt< 0,-1, 2> { enum { idx = 46 }; }; | ||
| 659 | template<> struct FourthDensePt< 0, 1, 2> { enum { idx = 47 }; }; | ||
| 660 | template<> struct FourthDensePt< 0, 2, 2> { enum { idx = 48 }; }; | ||
| 661 | |||
| 662 | template<> struct FourthDensePt< 0,-2, 1> { enum { idx = 49 }; }; | ||
| 663 | template<> struct FourthDensePt< 0,-1, 1> { enum { idx = 50 }; }; | ||
| 664 | template<> struct FourthDensePt< 0, 1, 1> { enum { idx = 51 }; }; | ||
| 665 | template<> struct FourthDensePt< 0, 2, 1> { enum { idx = 52 }; }; | ||
| 666 | |||
| 667 | template<> struct FourthDensePt< 0,-2,-1> { enum { idx = 53 }; }; | ||
| 668 | template<> struct FourthDensePt< 0,-1,-1> { enum { idx = 54 }; }; | ||
| 669 | template<> struct FourthDensePt< 0, 1,-1> { enum { idx = 55 }; }; | ||
| 670 | template<> struct FourthDensePt< 0, 2,-1> { enum { idx = 56 }; }; | ||
| 671 | |||
| 672 | template<> struct FourthDensePt< 0,-2,-2> { enum { idx = 57 }; }; | ||
| 673 | template<> struct FourthDensePt< 0,-1,-2> { enum { idx = 58 }; }; | ||
| 674 | template<> struct FourthDensePt< 0, 1,-2> { enum { idx = 59 }; }; | ||
| 675 | template<> struct FourthDensePt< 0, 2,-2> { enum { idx = 60 }; }; | ||
| 676 | |||
| 677 | } | ||
| 678 | |||
| 679 | |||
| 680 | template<typename GridT, bool IsSafe = true> | ||
| 681 |
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19 | class FourthOrderDenseStencil |
| 682 | : public BaseStencil<FourthOrderDenseStencil<GridT, IsSafe>, GridT, IsSafe> | ||
| 683 | { | ||
| 684 | typedef FourthOrderDenseStencil<GridT, IsSafe> SelfT; | ||
| 685 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 686 | public: | ||
| 687 | typedef GridT GridType; | ||
| 688 | typedef typename GridT::TreeType TreeType; | ||
| 689 | typedef typename GridType::ValueType ValueType; | ||
| 690 | |||
| 691 | static const int SIZE = 61; | ||
| 692 | |||
| 693 |
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7 | FourthOrderDenseStencil(const GridType& grid): BaseType(grid, SIZE) {} |
| 694 | |||
| 695 | /// Return linear offset for the specified stencil point relative to its center | ||
| 696 | template<int i, int j, int k> | ||
| 697 | unsigned int pos() const { return FourthDensePt<i,j,k>::idx; } | ||
| 698 | |||
| 699 | private: | ||
| 700 | 8 | inline void init(const Coord& ijk) | |
| 701 | { | ||
| 702 | 8 | mValues[FourthDensePt<-2, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 2, 0)); | |
| 703 | 8 | mValues[FourthDensePt<-1, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 2, 0)); | |
| 704 | 8 | mValues[FourthDensePt< 0, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 0)); | |
| 705 | 8 | mValues[FourthDensePt< 1, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 2, 0)); | |
| 706 | 8 | mValues[FourthDensePt< 2, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 2, 0)); | |
| 707 | |||
| 708 | 8 | mValues[FourthDensePt<-2, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 1, 0)); | |
| 709 | 8 | mValues[FourthDensePt<-1, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 1, 0)); | |
| 710 | 8 | mValues[FourthDensePt< 0, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 711 | 8 | mValues[FourthDensePt< 1, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 1, 0)); | |
| 712 | 8 | mValues[FourthDensePt< 2, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 1, 0)); | |
| 713 | |||
| 714 | 8 | mValues[FourthDensePt<-2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 0)); | |
| 715 | 8 | mValues[FourthDensePt<-1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 716 | 8 | mValues[FourthDensePt< 1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 717 | 8 | mValues[FourthDensePt< 2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 0)); | |
| 718 | |||
| 719 | 8 | mValues[FourthDensePt<-2,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2,-1, 0)); | |
| 720 | 8 | mValues[FourthDensePt<-1,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1,-1, 0)); | |
| 721 | 8 | mValues[FourthDensePt< 0,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 0)); | |
| 722 | 8 | mValues[FourthDensePt< 1,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1,-1, 0)); | |
| 723 | 8 | mValues[FourthDensePt< 2,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2,-1, 0)); | |
| 724 | |||
| 725 | 8 | mValues[FourthDensePt<-2,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2,-2, 0)); | |
| 726 | 8 | mValues[FourthDensePt<-1,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1,-2, 0)); | |
| 727 | 8 | mValues[FourthDensePt< 0,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 0)); | |
| 728 | 8 | mValues[FourthDensePt< 1,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1,-2, 0)); | |
| 729 | 8 | mValues[FourthDensePt< 2,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2,-2, 0)); | |
| 730 | |||
| 731 | 8 | mValues[FourthDensePt<-2, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 2)); | |
| 732 | 8 | mValues[FourthDensePt<-1, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 2)); | |
| 733 | 8 | mValues[FourthDensePt< 0, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 2)); | |
| 734 | 8 | mValues[FourthDensePt< 1, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 2)); | |
| 735 | 8 | mValues[FourthDensePt< 2, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 2)); | |
| 736 | |||
| 737 | 8 | mValues[FourthDensePt<-2, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 1)); | |
| 738 | 8 | mValues[FourthDensePt<-1, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 1)); | |
| 739 | 8 | mValues[FourthDensePt< 0, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 740 | 8 | mValues[FourthDensePt< 1, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 1)); | |
| 741 | 8 | mValues[FourthDensePt< 2, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 1)); | |
| 742 | |||
| 743 | 8 | mValues[FourthDensePt<-2, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0,-1)); | |
| 744 | 8 | mValues[FourthDensePt<-1, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0,-1)); | |
| 745 | 8 | mValues[FourthDensePt< 0, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0,-1)); | |
| 746 | 8 | mValues[FourthDensePt< 1, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0,-1)); | |
| 747 | 8 | mValues[FourthDensePt< 2, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0,-1)); | |
| 748 | |||
| 749 | 8 | mValues[FourthDensePt<-2, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0,-2)); | |
| 750 | 8 | mValues[FourthDensePt<-1, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0,-2)); | |
| 751 | 8 | mValues[FourthDensePt< 0, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0,-2)); | |
| 752 | 8 | mValues[FourthDensePt< 1, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0,-2)); | |
| 753 | 8 | mValues[FourthDensePt< 2, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0,-2)); | |
| 754 | |||
| 755 | |||
| 756 | 8 | mValues[FourthDensePt< 0,-2, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 2)); | |
| 757 | 8 | mValues[FourthDensePt< 0,-1, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 2)); | |
| 758 | 8 | mValues[FourthDensePt< 0, 1, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 2)); | |
| 759 | 8 | mValues[FourthDensePt< 0, 2, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 2)); | |
| 760 | |||
| 761 | 8 | mValues[FourthDensePt< 0,-2, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 1)); | |
| 762 | 8 | mValues[FourthDensePt< 0,-1, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 1)); | |
| 763 | 8 | mValues[FourthDensePt< 0, 1, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 1)); | |
| 764 | 8 | mValues[FourthDensePt< 0, 2, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 1)); | |
| 765 | |||
| 766 | 8 | mValues[FourthDensePt< 0,-2,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2,-1)); | |
| 767 | 8 | mValues[FourthDensePt< 0,-1,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1,-1)); | |
| 768 | 8 | mValues[FourthDensePt< 0, 1,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1,-1)); | |
| 769 | 8 | mValues[FourthDensePt< 0, 2,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2,-1)); | |
| 770 | |||
| 771 | 8 | mValues[FourthDensePt< 0,-2,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2,-2)); | |
| 772 | 8 | mValues[FourthDensePt< 0,-1,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1,-2)); | |
| 773 | 8 | mValues[FourthDensePt< 0, 1,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1,-2)); | |
| 774 | 8 | mValues[FourthDensePt< 0, 2,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2,-2)); | |
| 775 | 8 | } | |
| 776 | |||
| 777 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 778 | using BaseType::mAcc; | ||
| 779 | using BaseType::mValues; | ||
| 780 | };// FourthOrderDenseStencil class | ||
| 781 | |||
| 782 | |||
| 783 | //////////////////////////////////////// | ||
| 784 | |||
| 785 | |||
| 786 | namespace { // anonymous namespace for stencil-layout map | ||
| 787 | |||
| 788 | // the dense point stencil | ||
| 789 | template<int i, int j, int k> struct NineteenPt {}; | ||
| 790 | template<> struct NineteenPt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 791 | |||
| 792 | template<> struct NineteenPt< 1, 0, 0> { enum { idx = 1 }; }; | ||
| 793 | template<> struct NineteenPt< 0, 1, 0> { enum { idx = 2 }; }; | ||
| 794 | template<> struct NineteenPt< 0, 0, 1> { enum { idx = 3 }; }; | ||
| 795 | |||
| 796 | template<> struct NineteenPt<-1, 0, 0> { enum { idx = 4 }; }; | ||
| 797 | template<> struct NineteenPt< 0,-1, 0> { enum { idx = 5 }; }; | ||
| 798 | template<> struct NineteenPt< 0, 0,-1> { enum { idx = 6 }; }; | ||
| 799 | |||
| 800 | template<> struct NineteenPt< 2, 0, 0> { enum { idx = 7 }; }; | ||
| 801 | template<> struct NineteenPt< 0, 2, 0> { enum { idx = 8 }; }; | ||
| 802 | template<> struct NineteenPt< 0, 0, 2> { enum { idx = 9 }; }; | ||
| 803 | |||
| 804 | template<> struct NineteenPt<-2, 0, 0> { enum { idx = 10 }; }; | ||
| 805 | template<> struct NineteenPt< 0,-2, 0> { enum { idx = 11 }; }; | ||
| 806 | template<> struct NineteenPt< 0, 0,-2> { enum { idx = 12 }; }; | ||
| 807 | |||
| 808 | template<> struct NineteenPt< 3, 0, 0> { enum { idx = 13 }; }; | ||
| 809 | template<> struct NineteenPt< 0, 3, 0> { enum { idx = 14 }; }; | ||
| 810 | template<> struct NineteenPt< 0, 0, 3> { enum { idx = 15 }; }; | ||
| 811 | |||
| 812 | template<> struct NineteenPt<-3, 0, 0> { enum { idx = 16 }; }; | ||
| 813 | template<> struct NineteenPt< 0,-3, 0> { enum { idx = 17 }; }; | ||
| 814 | template<> struct NineteenPt< 0, 0,-3> { enum { idx = 18 }; }; | ||
| 815 | |||
| 816 | } | ||
| 817 | |||
| 818 | |||
| 819 | template<typename GridT, bool IsSafe = true> | ||
| 820 |
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14916 | class NineteenPointStencil |
| 821 | : public BaseStencil<NineteenPointStencil<GridT, IsSafe>, GridT, IsSafe> | ||
| 822 | { | ||
| 823 | typedef NineteenPointStencil<GridT, IsSafe> SelfT; | ||
| 824 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 825 | public: | ||
| 826 | typedef GridT GridType; | ||
| 827 | typedef typename GridT::TreeType TreeType; | ||
| 828 | typedef typename GridType::ValueType ValueType; | ||
| 829 | |||
| 830 | static const int SIZE = 19; | ||
| 831 | |||
| 832 |
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14916 | NineteenPointStencil(const GridType& grid): BaseType(grid, SIZE) {} |
| 833 | |||
| 834 | /// Return linear offset for the specified stencil point relative to its center | ||
| 835 | template<int i, int j, int k> | ||
| 836 | unsigned int pos() const { return NineteenPt<i,j,k>::idx; } | ||
| 837 | |||
| 838 | private: | ||
| 839 | 2403434 | inline void init(const Coord& ijk) | |
| 840 | { | ||
| 841 | 2403434 | mValues[NineteenPt< 3, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0, 0)); | |
| 842 | 2403434 | mValues[NineteenPt< 2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 0)); | |
| 843 | 2403434 | mValues[NineteenPt< 1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 844 | 2403434 | mValues[NineteenPt<-1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 845 | 2403434 | mValues[NineteenPt<-2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 0)); | |
| 846 | 2403434 | mValues[NineteenPt<-3, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0, 0)); | |
| 847 | |||
| 848 | 2403434 | mValues[NineteenPt< 0, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3, 0)); | |
| 849 | 2403434 | mValues[NineteenPt< 0, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 0)); | |
| 850 | 2403434 | mValues[NineteenPt< 0, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 851 | 2403434 | mValues[NineteenPt< 0,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, -1, 0)); | |
| 852 | 2403434 | mValues[NineteenPt< 0,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, -2, 0)); | |
| 853 | 2403434 | mValues[NineteenPt< 0,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, -3, 0)); | |
| 854 | |||
| 855 | 2403434 | mValues[NineteenPt< 0, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 3)); | |
| 856 | 2403434 | mValues[NineteenPt< 0, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 2)); | |
| 857 | 2403434 | mValues[NineteenPt< 0, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 858 | 2403434 | mValues[NineteenPt< 0, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, -1)); | |
| 859 | 2403434 | mValues[NineteenPt< 0, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, -2)); | |
| 860 | 2403434 | mValues[NineteenPt< 0, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, -3)); | |
| 861 | 2403434 | } | |
| 862 | |||
| 863 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 864 | using BaseType::mAcc; | ||
| 865 | using BaseType::mValues; | ||
| 866 | };// NineteenPointStencil class | ||
| 867 | |||
| 868 | |||
| 869 | //////////////////////////////////////// | ||
| 870 | |||
| 871 | |||
| 872 | namespace { // anonymous namespace for stencil-layout map | ||
| 873 | |||
| 874 | // the 4th-order dense point stencil | ||
| 875 | template<int i, int j, int k> struct SixthDensePt { }; | ||
| 876 | template<> struct SixthDensePt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 877 | |||
| 878 | template<> struct SixthDensePt<-3, 3, 0> { enum { idx = 1 }; }; | ||
| 879 | template<> struct SixthDensePt<-2, 3, 0> { enum { idx = 2 }; }; | ||
| 880 | template<> struct SixthDensePt<-1, 3, 0> { enum { idx = 3 }; }; | ||
| 881 | template<> struct SixthDensePt< 0, 3, 0> { enum { idx = 4 }; }; | ||
| 882 | template<> struct SixthDensePt< 1, 3, 0> { enum { idx = 5 }; }; | ||
| 883 | template<> struct SixthDensePt< 2, 3, 0> { enum { idx = 6 }; }; | ||
| 884 | template<> struct SixthDensePt< 3, 3, 0> { enum { idx = 7 }; }; | ||
| 885 | |||
| 886 | template<> struct SixthDensePt<-3, 2, 0> { enum { idx = 8 }; }; | ||
| 887 | template<> struct SixthDensePt<-2, 2, 0> { enum { idx = 9 }; }; | ||
| 888 | template<> struct SixthDensePt<-1, 2, 0> { enum { idx = 10 }; }; | ||
| 889 | template<> struct SixthDensePt< 0, 2, 0> { enum { idx = 11 }; }; | ||
| 890 | template<> struct SixthDensePt< 1, 2, 0> { enum { idx = 12 }; }; | ||
| 891 | template<> struct SixthDensePt< 2, 2, 0> { enum { idx = 13 }; }; | ||
| 892 | template<> struct SixthDensePt< 3, 2, 0> { enum { idx = 14 }; }; | ||
| 893 | |||
| 894 | template<> struct SixthDensePt<-3, 1, 0> { enum { idx = 15 }; }; | ||
| 895 | template<> struct SixthDensePt<-2, 1, 0> { enum { idx = 16 }; }; | ||
| 896 | template<> struct SixthDensePt<-1, 1, 0> { enum { idx = 17 }; }; | ||
| 897 | template<> struct SixthDensePt< 0, 1, 0> { enum { idx = 18 }; }; | ||
| 898 | template<> struct SixthDensePt< 1, 1, 0> { enum { idx = 19 }; }; | ||
| 899 | template<> struct SixthDensePt< 2, 1, 0> { enum { idx = 20 }; }; | ||
| 900 | template<> struct SixthDensePt< 3, 1, 0> { enum { idx = 21 }; }; | ||
| 901 | |||
| 902 | template<> struct SixthDensePt<-3, 0, 0> { enum { idx = 22 }; }; | ||
| 903 | template<> struct SixthDensePt<-2, 0, 0> { enum { idx = 23 }; }; | ||
| 904 | template<> struct SixthDensePt<-1, 0, 0> { enum { idx = 24 }; }; | ||
| 905 | template<> struct SixthDensePt< 1, 0, 0> { enum { idx = 25 }; }; | ||
| 906 | template<> struct SixthDensePt< 2, 0, 0> { enum { idx = 26 }; }; | ||
| 907 | template<> struct SixthDensePt< 3, 0, 0> { enum { idx = 27 }; }; | ||
| 908 | |||
| 909 | |||
| 910 | template<> struct SixthDensePt<-3,-1, 0> { enum { idx = 28 }; }; | ||
| 911 | template<> struct SixthDensePt<-2,-1, 0> { enum { idx = 29 }; }; | ||
| 912 | template<> struct SixthDensePt<-1,-1, 0> { enum { idx = 30 }; }; | ||
| 913 | template<> struct SixthDensePt< 0,-1, 0> { enum { idx = 31 }; }; | ||
| 914 | template<> struct SixthDensePt< 1,-1, 0> { enum { idx = 32 }; }; | ||
| 915 | template<> struct SixthDensePt< 2,-1, 0> { enum { idx = 33 }; }; | ||
| 916 | template<> struct SixthDensePt< 3,-1, 0> { enum { idx = 34 }; }; | ||
| 917 | |||
| 918 | |||
| 919 | template<> struct SixthDensePt<-3,-2, 0> { enum { idx = 35 }; }; | ||
| 920 | template<> struct SixthDensePt<-2,-2, 0> { enum { idx = 36 }; }; | ||
| 921 | template<> struct SixthDensePt<-1,-2, 0> { enum { idx = 37 }; }; | ||
| 922 | template<> struct SixthDensePt< 0,-2, 0> { enum { idx = 38 }; }; | ||
| 923 | template<> struct SixthDensePt< 1,-2, 0> { enum { idx = 39 }; }; | ||
| 924 | template<> struct SixthDensePt< 2,-2, 0> { enum { idx = 40 }; }; | ||
| 925 | template<> struct SixthDensePt< 3,-2, 0> { enum { idx = 41 }; }; | ||
| 926 | |||
| 927 | |||
| 928 | template<> struct SixthDensePt<-3,-3, 0> { enum { idx = 42 }; }; | ||
| 929 | template<> struct SixthDensePt<-2,-3, 0> { enum { idx = 43 }; }; | ||
| 930 | template<> struct SixthDensePt<-1,-3, 0> { enum { idx = 44 }; }; | ||
| 931 | template<> struct SixthDensePt< 0,-3, 0> { enum { idx = 45 }; }; | ||
| 932 | template<> struct SixthDensePt< 1,-3, 0> { enum { idx = 46 }; }; | ||
| 933 | template<> struct SixthDensePt< 2,-3, 0> { enum { idx = 47 }; }; | ||
| 934 | template<> struct SixthDensePt< 3,-3, 0> { enum { idx = 48 }; }; | ||
| 935 | |||
| 936 | |||
| 937 | template<> struct SixthDensePt<-3, 0, 3> { enum { idx = 49 }; }; | ||
| 938 | template<> struct SixthDensePt<-2, 0, 3> { enum { idx = 50 }; }; | ||
| 939 | template<> struct SixthDensePt<-1, 0, 3> { enum { idx = 51 }; }; | ||
| 940 | template<> struct SixthDensePt< 0, 0, 3> { enum { idx = 52 }; }; | ||
| 941 | template<> struct SixthDensePt< 1, 0, 3> { enum { idx = 53 }; }; | ||
| 942 | template<> struct SixthDensePt< 2, 0, 3> { enum { idx = 54 }; }; | ||
| 943 | template<> struct SixthDensePt< 3, 0, 3> { enum { idx = 55 }; }; | ||
| 944 | |||
| 945 | |||
| 946 | template<> struct SixthDensePt<-3, 0, 2> { enum { idx = 56 }; }; | ||
| 947 | template<> struct SixthDensePt<-2, 0, 2> { enum { idx = 57 }; }; | ||
| 948 | template<> struct SixthDensePt<-1, 0, 2> { enum { idx = 58 }; }; | ||
| 949 | template<> struct SixthDensePt< 0, 0, 2> { enum { idx = 59 }; }; | ||
| 950 | template<> struct SixthDensePt< 1, 0, 2> { enum { idx = 60 }; }; | ||
| 951 | template<> struct SixthDensePt< 2, 0, 2> { enum { idx = 61 }; }; | ||
| 952 | template<> struct SixthDensePt< 3, 0, 2> { enum { idx = 62 }; }; | ||
| 953 | |||
| 954 | template<> struct SixthDensePt<-3, 0, 1> { enum { idx = 63 }; }; | ||
| 955 | template<> struct SixthDensePt<-2, 0, 1> { enum { idx = 64 }; }; | ||
| 956 | template<> struct SixthDensePt<-1, 0, 1> { enum { idx = 65 }; }; | ||
| 957 | template<> struct SixthDensePt< 0, 0, 1> { enum { idx = 66 }; }; | ||
| 958 | template<> struct SixthDensePt< 1, 0, 1> { enum { idx = 67 }; }; | ||
| 959 | template<> struct SixthDensePt< 2, 0, 1> { enum { idx = 68 }; }; | ||
| 960 | template<> struct SixthDensePt< 3, 0, 1> { enum { idx = 69 }; }; | ||
| 961 | |||
| 962 | |||
| 963 | template<> struct SixthDensePt<-3, 0,-1> { enum { idx = 70 }; }; | ||
| 964 | template<> struct SixthDensePt<-2, 0,-1> { enum { idx = 71 }; }; | ||
| 965 | template<> struct SixthDensePt<-1, 0,-1> { enum { idx = 72 }; }; | ||
| 966 | template<> struct SixthDensePt< 0, 0,-1> { enum { idx = 73 }; }; | ||
| 967 | template<> struct SixthDensePt< 1, 0,-1> { enum { idx = 74 }; }; | ||
| 968 | template<> struct SixthDensePt< 2, 0,-1> { enum { idx = 75 }; }; | ||
| 969 | template<> struct SixthDensePt< 3, 0,-1> { enum { idx = 76 }; }; | ||
| 970 | |||
| 971 | |||
| 972 | template<> struct SixthDensePt<-3, 0,-2> { enum { idx = 77 }; }; | ||
| 973 | template<> struct SixthDensePt<-2, 0,-2> { enum { idx = 78 }; }; | ||
| 974 | template<> struct SixthDensePt<-1, 0,-2> { enum { idx = 79 }; }; | ||
| 975 | template<> struct SixthDensePt< 0, 0,-2> { enum { idx = 80 }; }; | ||
| 976 | template<> struct SixthDensePt< 1, 0,-2> { enum { idx = 81 }; }; | ||
| 977 | template<> struct SixthDensePt< 2, 0,-2> { enum { idx = 82 }; }; | ||
| 978 | template<> struct SixthDensePt< 3, 0,-2> { enum { idx = 83 }; }; | ||
| 979 | |||
| 980 | |||
| 981 | template<> struct SixthDensePt<-3, 0,-3> { enum { idx = 84 }; }; | ||
| 982 | template<> struct SixthDensePt<-2, 0,-3> { enum { idx = 85 }; }; | ||
| 983 | template<> struct SixthDensePt<-1, 0,-3> { enum { idx = 86 }; }; | ||
| 984 | template<> struct SixthDensePt< 0, 0,-3> { enum { idx = 87 }; }; | ||
| 985 | template<> struct SixthDensePt< 1, 0,-3> { enum { idx = 88 }; }; | ||
| 986 | template<> struct SixthDensePt< 2, 0,-3> { enum { idx = 89 }; }; | ||
| 987 | template<> struct SixthDensePt< 3, 0,-3> { enum { idx = 90 }; }; | ||
| 988 | |||
| 989 | |||
| 990 | template<> struct SixthDensePt< 0,-3, 3> { enum { idx = 91 }; }; | ||
| 991 | template<> struct SixthDensePt< 0,-2, 3> { enum { idx = 92 }; }; | ||
| 992 | template<> struct SixthDensePt< 0,-1, 3> { enum { idx = 93 }; }; | ||
| 993 | template<> struct SixthDensePt< 0, 1, 3> { enum { idx = 94 }; }; | ||
| 994 | template<> struct SixthDensePt< 0, 2, 3> { enum { idx = 95 }; }; | ||
| 995 | template<> struct SixthDensePt< 0, 3, 3> { enum { idx = 96 }; }; | ||
| 996 | |||
| 997 | template<> struct SixthDensePt< 0,-3, 2> { enum { idx = 97 }; }; | ||
| 998 | template<> struct SixthDensePt< 0,-2, 2> { enum { idx = 98 }; }; | ||
| 999 | template<> struct SixthDensePt< 0,-1, 2> { enum { idx = 99 }; }; | ||
| 1000 | template<> struct SixthDensePt< 0, 1, 2> { enum { idx = 100 }; }; | ||
| 1001 | template<> struct SixthDensePt< 0, 2, 2> { enum { idx = 101 }; }; | ||
| 1002 | template<> struct SixthDensePt< 0, 3, 2> { enum { idx = 102 }; }; | ||
| 1003 | |||
| 1004 | template<> struct SixthDensePt< 0,-3, 1> { enum { idx = 103 }; }; | ||
| 1005 | template<> struct SixthDensePt< 0,-2, 1> { enum { idx = 104 }; }; | ||
| 1006 | template<> struct SixthDensePt< 0,-1, 1> { enum { idx = 105 }; }; | ||
| 1007 | template<> struct SixthDensePt< 0, 1, 1> { enum { idx = 106 }; }; | ||
| 1008 | template<> struct SixthDensePt< 0, 2, 1> { enum { idx = 107 }; }; | ||
| 1009 | template<> struct SixthDensePt< 0, 3, 1> { enum { idx = 108 }; }; | ||
| 1010 | |||
| 1011 | template<> struct SixthDensePt< 0,-3,-1> { enum { idx = 109 }; }; | ||
| 1012 | template<> struct SixthDensePt< 0,-2,-1> { enum { idx = 110 }; }; | ||
| 1013 | template<> struct SixthDensePt< 0,-1,-1> { enum { idx = 111 }; }; | ||
| 1014 | template<> struct SixthDensePt< 0, 1,-1> { enum { idx = 112 }; }; | ||
| 1015 | template<> struct SixthDensePt< 0, 2,-1> { enum { idx = 113 }; }; | ||
| 1016 | template<> struct SixthDensePt< 0, 3,-1> { enum { idx = 114 }; }; | ||
| 1017 | |||
| 1018 | template<> struct SixthDensePt< 0,-3,-2> { enum { idx = 115 }; }; | ||
| 1019 | template<> struct SixthDensePt< 0,-2,-2> { enum { idx = 116 }; }; | ||
| 1020 | template<> struct SixthDensePt< 0,-1,-2> { enum { idx = 117 }; }; | ||
| 1021 | template<> struct SixthDensePt< 0, 1,-2> { enum { idx = 118 }; }; | ||
| 1022 | template<> struct SixthDensePt< 0, 2,-2> { enum { idx = 119 }; }; | ||
| 1023 | template<> struct SixthDensePt< 0, 3,-2> { enum { idx = 120 }; }; | ||
| 1024 | |||
| 1025 | template<> struct SixthDensePt< 0,-3,-3> { enum { idx = 121 }; }; | ||
| 1026 | template<> struct SixthDensePt< 0,-2,-3> { enum { idx = 122 }; }; | ||
| 1027 | template<> struct SixthDensePt< 0,-1,-3> { enum { idx = 123 }; }; | ||
| 1028 | template<> struct SixthDensePt< 0, 1,-3> { enum { idx = 124 }; }; | ||
| 1029 | template<> struct SixthDensePt< 0, 2,-3> { enum { idx = 125 }; }; | ||
| 1030 | template<> struct SixthDensePt< 0, 3,-3> { enum { idx = 126 }; }; | ||
| 1031 | |||
| 1032 | } | ||
| 1033 | |||
| 1034 | |||
| 1035 | template<typename GridT, bool IsSafe = true> | ||
| 1036 | 5 | class SixthOrderDenseStencil | |
| 1037 | : public BaseStencil<SixthOrderDenseStencil<GridT, IsSafe>, GridT, IsSafe> | ||
| 1038 | { | ||
| 1039 | typedef SixthOrderDenseStencil<GridT, IsSafe> SelfT; | ||
| 1040 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 1041 | public: | ||
| 1042 | typedef GridT GridType; | ||
| 1043 | typedef typename GridT::TreeType TreeType; | ||
| 1044 | typedef typename GridType::ValueType ValueType; | ||
| 1045 | |||
| 1046 | static const int SIZE = 127; | ||
| 1047 | |||
| 1048 |
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5 | SixthOrderDenseStencil(const GridType& grid): BaseType(grid, SIZE) {} |
| 1049 | |||
| 1050 | /// Return linear offset for the specified stencil point relative to its center | ||
| 1051 | template<int i, int j, int k> | ||
| 1052 | unsigned int pos() const { return SixthDensePt<i,j,k>::idx; } | ||
| 1053 | |||
| 1054 | private: | ||
| 1055 | 8 | inline void init(const Coord& ijk) | |
| 1056 | { | ||
| 1057 | 8 | mValues[SixthDensePt<-3, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3, 3, 0)); | |
| 1058 | 8 | mValues[SixthDensePt<-2, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 3, 0)); | |
| 1059 | 8 | mValues[SixthDensePt<-1, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 3, 0)); | |
| 1060 | 8 | mValues[SixthDensePt< 0, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3, 0)); | |
| 1061 | 8 | mValues[SixthDensePt< 1, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 3, 0)); | |
| 1062 | 8 | mValues[SixthDensePt< 2, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 3, 0)); | |
| 1063 | 8 | mValues[SixthDensePt< 3, 3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3, 3, 0)); | |
| 1064 | |||
| 1065 | 8 | mValues[SixthDensePt<-3, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3, 2, 0)); | |
| 1066 | 8 | mValues[SixthDensePt<-2, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 2, 0)); | |
| 1067 | 8 | mValues[SixthDensePt<-1, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 2, 0)); | |
| 1068 | 8 | mValues[SixthDensePt< 0, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 0)); | |
| 1069 | 8 | mValues[SixthDensePt< 1, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 2, 0)); | |
| 1070 | 8 | mValues[SixthDensePt< 2, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 2, 0)); | |
| 1071 | 8 | mValues[SixthDensePt< 3, 2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3, 2, 0)); | |
| 1072 | |||
| 1073 | 8 | mValues[SixthDensePt<-3, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3, 1, 0)); | |
| 1074 | 8 | mValues[SixthDensePt<-2, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 1, 0)); | |
| 1075 | 8 | mValues[SixthDensePt<-1, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 1, 0)); | |
| 1076 | 8 | mValues[SixthDensePt< 0, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 1077 | 8 | mValues[SixthDensePt< 1, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 1, 0)); | |
| 1078 | 8 | mValues[SixthDensePt< 2, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 1, 0)); | |
| 1079 | 8 | mValues[SixthDensePt< 3, 1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3, 1, 0)); | |
| 1080 | |||
| 1081 | 8 | mValues[SixthDensePt<-3, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0, 0)); | |
| 1082 | 8 | mValues[SixthDensePt<-2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 0)); | |
| 1083 | 8 | mValues[SixthDensePt<-1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 1084 | 8 | mValues[SixthDensePt< 1, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 1085 | 8 | mValues[SixthDensePt< 2, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 0)); | |
| 1086 | 8 | mValues[SixthDensePt< 3, 0, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0, 0)); | |
| 1087 | |||
| 1088 | 8 | mValues[SixthDensePt<-3,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3,-1, 0)); | |
| 1089 | 8 | mValues[SixthDensePt<-2,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2,-1, 0)); | |
| 1090 | 8 | mValues[SixthDensePt<-1,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1,-1, 0)); | |
| 1091 | 8 | mValues[SixthDensePt< 0,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 0)); | |
| 1092 | 8 | mValues[SixthDensePt< 1,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1,-1, 0)); | |
| 1093 | 8 | mValues[SixthDensePt< 2,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2,-1, 0)); | |
| 1094 | 8 | mValues[SixthDensePt< 3,-1, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3,-1, 0)); | |
| 1095 | |||
| 1096 | 8 | mValues[SixthDensePt<-3,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3,-2, 0)); | |
| 1097 | 8 | mValues[SixthDensePt<-2,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2,-2, 0)); | |
| 1098 | 8 | mValues[SixthDensePt<-1,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1,-2, 0)); | |
| 1099 | 8 | mValues[SixthDensePt< 0,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 0)); | |
| 1100 | 8 | mValues[SixthDensePt< 1,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1,-2, 0)); | |
| 1101 | 8 | mValues[SixthDensePt< 2,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2,-2, 0)); | |
| 1102 | 8 | mValues[SixthDensePt< 3,-2, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3,-2, 0)); | |
| 1103 | |||
| 1104 | 8 | mValues[SixthDensePt<-3,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy(-3,-3, 0)); | |
| 1105 | 8 | mValues[SixthDensePt<-2,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy(-2,-3, 0)); | |
| 1106 | 8 | mValues[SixthDensePt<-1,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy(-1,-3, 0)); | |
| 1107 | 8 | mValues[SixthDensePt< 0,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3, 0)); | |
| 1108 | 8 | mValues[SixthDensePt< 1,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 1,-3, 0)); | |
| 1109 | 8 | mValues[SixthDensePt< 2,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 2,-3, 0)); | |
| 1110 | 8 | mValues[SixthDensePt< 3,-3, 0>::idx] = mAcc.getValue(ijk.offsetBy( 3,-3, 0)); | |
| 1111 | |||
| 1112 | 8 | mValues[SixthDensePt<-3, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0, 3)); | |
| 1113 | 8 | mValues[SixthDensePt<-2, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 3)); | |
| 1114 | 8 | mValues[SixthDensePt<-1, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 3)); | |
| 1115 | 8 | mValues[SixthDensePt< 0, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 3)); | |
| 1116 | 8 | mValues[SixthDensePt< 1, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 3)); | |
| 1117 | 8 | mValues[SixthDensePt< 2, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 3)); | |
| 1118 | 8 | mValues[SixthDensePt< 3, 0, 3>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0, 3)); | |
| 1119 | |||
| 1120 | 8 | mValues[SixthDensePt<-3, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0, 2)); | |
| 1121 | 8 | mValues[SixthDensePt<-2, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 2)); | |
| 1122 | 8 | mValues[SixthDensePt<-1, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 2)); | |
| 1123 | 8 | mValues[SixthDensePt< 0, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 2)); | |
| 1124 | 8 | mValues[SixthDensePt< 1, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 2)); | |
| 1125 | 8 | mValues[SixthDensePt< 2, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 2)); | |
| 1126 | 8 | mValues[SixthDensePt< 3, 0, 2>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0, 2)); | |
| 1127 | |||
| 1128 | 8 | mValues[SixthDensePt<-3, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0, 1)); | |
| 1129 | 8 | mValues[SixthDensePt<-2, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0, 1)); | |
| 1130 | 8 | mValues[SixthDensePt<-1, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0, 1)); | |
| 1131 | 8 | mValues[SixthDensePt< 0, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 1132 | 8 | mValues[SixthDensePt< 1, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0, 1)); | |
| 1133 | 8 | mValues[SixthDensePt< 2, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0, 1)); | |
| 1134 | 8 | mValues[SixthDensePt< 3, 0, 1>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0, 1)); | |
| 1135 | |||
| 1136 | 8 | mValues[SixthDensePt<-3, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0,-1)); | |
| 1137 | 8 | mValues[SixthDensePt<-2, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0,-1)); | |
| 1138 | 8 | mValues[SixthDensePt<-1, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0,-1)); | |
| 1139 | 8 | mValues[SixthDensePt< 0, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0,-1)); | |
| 1140 | 8 | mValues[SixthDensePt< 1, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0,-1)); | |
| 1141 | 8 | mValues[SixthDensePt< 2, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0,-1)); | |
| 1142 | 8 | mValues[SixthDensePt< 3, 0,-1>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0,-1)); | |
| 1143 | |||
| 1144 | 8 | mValues[SixthDensePt<-3, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0,-2)); | |
| 1145 | 8 | mValues[SixthDensePt<-2, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0,-2)); | |
| 1146 | 8 | mValues[SixthDensePt<-1, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0,-2)); | |
| 1147 | 8 | mValues[SixthDensePt< 0, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0,-2)); | |
| 1148 | 8 | mValues[SixthDensePt< 1, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0,-2)); | |
| 1149 | 8 | mValues[SixthDensePt< 2, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0,-2)); | |
| 1150 | 8 | mValues[SixthDensePt< 3, 0,-2>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0,-2)); | |
| 1151 | |||
| 1152 | 8 | mValues[SixthDensePt<-3, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy(-3, 0,-3)); | |
| 1153 | 8 | mValues[SixthDensePt<-2, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy(-2, 0,-3)); | |
| 1154 | 8 | mValues[SixthDensePt<-1, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy(-1, 0,-3)); | |
| 1155 | 8 | mValues[SixthDensePt< 0, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 0,-3)); | |
| 1156 | 8 | mValues[SixthDensePt< 1, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy( 1, 0,-3)); | |
| 1157 | 8 | mValues[SixthDensePt< 2, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy( 2, 0,-3)); | |
| 1158 | 8 | mValues[SixthDensePt< 3, 0,-3>::idx] = mAcc.getValue(ijk.offsetBy( 3, 0,-3)); | |
| 1159 | |||
| 1160 | 8 | mValues[SixthDensePt< 0,-3, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3, 3)); | |
| 1161 | 8 | mValues[SixthDensePt< 0,-2, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 3)); | |
| 1162 | 8 | mValues[SixthDensePt< 0,-1, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 3)); | |
| 1163 | 8 | mValues[SixthDensePt< 0, 1, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 3)); | |
| 1164 | 8 | mValues[SixthDensePt< 0, 2, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 3)); | |
| 1165 | 8 | mValues[SixthDensePt< 0, 3, 3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3, 3)); | |
| 1166 | |||
| 1167 | 8 | mValues[SixthDensePt< 0,-3, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3, 2)); | |
| 1168 | 8 | mValues[SixthDensePt< 0,-2, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 2)); | |
| 1169 | 8 | mValues[SixthDensePt< 0,-1, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 2)); | |
| 1170 | 8 | mValues[SixthDensePt< 0, 1, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 2)); | |
| 1171 | 8 | mValues[SixthDensePt< 0, 2, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 2)); | |
| 1172 | 8 | mValues[SixthDensePt< 0, 3, 2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3, 2)); | |
| 1173 | |||
| 1174 | 8 | mValues[SixthDensePt< 0,-3, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3, 1)); | |
| 1175 | 8 | mValues[SixthDensePt< 0,-2, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2, 1)); | |
| 1176 | 8 | mValues[SixthDensePt< 0,-1, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1, 1)); | |
| 1177 | 8 | mValues[SixthDensePt< 0, 1, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1, 1)); | |
| 1178 | 8 | mValues[SixthDensePt< 0, 2, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2, 1)); | |
| 1179 | 8 | mValues[SixthDensePt< 0, 3, 1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3, 1)); | |
| 1180 | |||
| 1181 | 8 | mValues[SixthDensePt< 0,-3,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3,-1)); | |
| 1182 | 8 | mValues[SixthDensePt< 0,-2,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2,-1)); | |
| 1183 | 8 | mValues[SixthDensePt< 0,-1,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1,-1)); | |
| 1184 | 8 | mValues[SixthDensePt< 0, 1,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1,-1)); | |
| 1185 | 8 | mValues[SixthDensePt< 0, 2,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2,-1)); | |
| 1186 | 8 | mValues[SixthDensePt< 0, 3,-1>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3,-1)); | |
| 1187 | |||
| 1188 | 8 | mValues[SixthDensePt< 0,-3,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3,-2)); | |
| 1189 | 8 | mValues[SixthDensePt< 0,-2,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2,-2)); | |
| 1190 | 8 | mValues[SixthDensePt< 0,-1,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1,-2)); | |
| 1191 | 8 | mValues[SixthDensePt< 0, 1,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1,-2)); | |
| 1192 | 8 | mValues[SixthDensePt< 0, 2,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2,-2)); | |
| 1193 | 8 | mValues[SixthDensePt< 0, 3,-2>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3,-2)); | |
| 1194 | |||
| 1195 | 8 | mValues[SixthDensePt< 0,-3,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0,-3,-3)); | |
| 1196 | 8 | mValues[SixthDensePt< 0,-2,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0,-2,-3)); | |
| 1197 | 8 | mValues[SixthDensePt< 0,-1,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0,-1,-3)); | |
| 1198 | 8 | mValues[SixthDensePt< 0, 1,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 1,-3)); | |
| 1199 | 8 | mValues[SixthDensePt< 0, 2,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 2,-3)); | |
| 1200 | 8 | mValues[SixthDensePt< 0, 3,-3>::idx] = mAcc.getValue(ijk.offsetBy( 0, 3,-3)); | |
| 1201 | 8 | } | |
| 1202 | |||
| 1203 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 1204 | using BaseType::mAcc; | ||
| 1205 | using BaseType::mValues; | ||
| 1206 | };// SixthOrderDenseStencil class | ||
| 1207 | |||
| 1208 | |||
| 1209 | ////////////////////////////////////////////////////////////////////// | ||
| 1210 | |||
| 1211 | namespace { // anonymous namespace for stencil-layout map | ||
| 1212 | |||
| 1213 | // the seven point stencil with a different layout from SevenPt | ||
| 1214 | template<int i, int j, int k> struct GradPt {}; | ||
| 1215 | template<> struct GradPt< 0, 0, 0> { enum { idx = 0 }; }; | ||
| 1216 | template<> struct GradPt< 1, 0, 0> { enum { idx = 2 }; }; | ||
| 1217 | template<> struct GradPt< 0, 1, 0> { enum { idx = 4 }; }; | ||
| 1218 | template<> struct GradPt< 0, 0, 1> { enum { idx = 6 }; }; | ||
| 1219 | template<> struct GradPt<-1, 0, 0> { enum { idx = 1 }; }; | ||
| 1220 | template<> struct GradPt< 0,-1, 0> { enum { idx = 3 }; }; | ||
| 1221 | template<> struct GradPt< 0, 0,-1> { enum { idx = 5 }; }; | ||
| 1222 | } | ||
| 1223 | |||
| 1224 | /// This is a simple 7-point nearest neighbor stencil that supports | ||
| 1225 | /// gradient by second-order central differencing, first-order upwinding, | ||
| 1226 | /// Laplacian, closest-point transform and zero-crossing test. | ||
| 1227 | /// | ||
| 1228 | /// @note For optimal random access performance this class | ||
| 1229 | /// includes its own grid accessor. | ||
| 1230 | template<typename GridT, bool IsSafe = true> | ||
| 1231 |
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5 | class GradStencil : public BaseStencil<GradStencil<GridT, IsSafe>, GridT, IsSafe> |
| 1232 | { | ||
| 1233 | typedef GradStencil<GridT, IsSafe> SelfT; | ||
| 1234 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 1235 | public: | ||
| 1236 | typedef GridT GridType; | ||
| 1237 | typedef typename GridT::TreeType TreeType; | ||
| 1238 | typedef typename GridType::ValueType ValueType; | ||
| 1239 | |||
| 1240 | static const int SIZE = 7; | ||
| 1241 | |||
| 1242 | 874 | GradStencil(const GridType& grid) | |
| 1243 | : BaseType(grid, SIZE) | ||
| 1244 | 874 | , mInv2Dx(ValueType(0.5 / grid.voxelSize()[0])) | |
| 1245 | 874 | , mInvDx2(ValueType(4.0 * mInv2Dx * mInv2Dx)) | |
| 1246 | { | ||
| 1247 | 874 | } | |
| 1248 | |||
| 1249 | ✗ | GradStencil(const GridType& grid, Real dx) | |
| 1250 | : BaseType(grid, SIZE) | ||
| 1251 | ✗ | , mInv2Dx(ValueType(0.5 / dx)) | |
| 1252 | ✗ | , mInvDx2(ValueType(4.0 * mInv2Dx * mInv2Dx)) | |
| 1253 | { | ||
| 1254 | } | ||
| 1255 | |||
| 1256 | /// @brief Return the norm square of the single-sided upwind gradient | ||
| 1257 | /// (computed via Godunov's scheme) at the previously buffered location. | ||
| 1258 | /// | ||
| 1259 | /// @note This method should not be called until the stencil | ||
| 1260 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1261 | 1 | inline ValueType normSqGrad() const | |
| 1262 | { | ||
| 1263 | 1 | return mInvDx2 * math::GodunovsNormSqrd(mValues[0] > zeroVal<ValueType>(), | |
| 1264 | mValues[0] - mValues[1], | ||
| 1265 | mValues[2] - mValues[0], | ||
| 1266 | mValues[0] - mValues[3], | ||
| 1267 | mValues[4] - mValues[0], | ||
| 1268 | mValues[0] - mValues[5], | ||
| 1269 | 1 | mValues[6] - mValues[0]); | |
| 1270 | } | ||
| 1271 | |||
| 1272 | /// @brief Return the gradient computed at the previously buffered | ||
| 1273 | /// location by second order central differencing. | ||
| 1274 | /// | ||
| 1275 | /// @note This method should not be called until the stencil | ||
| 1276 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1277 | 2441735 | inline math::Vec3<ValueType> gradient() const | |
| 1278 | { | ||
| 1279 | return math::Vec3<ValueType>(mValues[2] - mValues[1], | ||
| 1280 | mValues[4] - mValues[3], | ||
| 1281 | 1 | mValues[6] - mValues[5])*mInv2Dx; | |
| 1282 | } | ||
| 1283 | /// @brief Return the first-order upwind gradient corresponding to the direction V. | ||
| 1284 | /// | ||
| 1285 | /// @note This method should not be called until the stencil | ||
| 1286 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1287 | inline math::Vec3<ValueType> gradient(const math::Vec3<ValueType>& V) const | ||
| 1288 | { | ||
| 1289 | return math::Vec3<ValueType>( | ||
| 1290 | V[0]>0 ? mValues[0] - mValues[1] : mValues[2] - mValues[0], | ||
| 1291 | V[1]>0 ? mValues[0] - mValues[3] : mValues[4] - mValues[0], | ||
| 1292 | V[2]>0 ? mValues[0] - mValues[5] : mValues[6] - mValues[0])*2*mInv2Dx; | ||
| 1293 | } | ||
| 1294 | |||
| 1295 | /// Return the Laplacian computed at the previously buffered | ||
| 1296 | /// location by second-order central differencing. | ||
| 1297 | inline ValueType laplacian() const | ||
| 1298 | { | ||
| 1299 |
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2 | return mInvDx2 * (mValues[1] + mValues[2] + |
| 1300 | 2 | mValues[3] + mValues[4] + | |
| 1301 |
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2 | mValues[5] + mValues[6] - 6*mValues[0]); |
| 1302 | } | ||
| 1303 | |||
| 1304 | /// Return @c true if the sign of the value at the center point of the stencil | ||
| 1305 | /// is different from the signs of any of its six nearest neighbors. | ||
| 1306 | inline bool zeroCrossing() const | ||
| 1307 | { | ||
| 1308 | const typename BaseType::BufferType& v = mValues; | ||
| 1309 | return (v[0]>0 ? (v[1]<0 || v[2]<0 || v[3]<0 || v[4]<0 || v[5]<0 || v[6]<0) | ||
| 1310 | : (v[1]>0 || v[2]>0 || v[3]>0 || v[4]>0 || v[5]>0 || v[6]>0)); | ||
| 1311 | } | ||
| 1312 | |||
| 1313 | /// @brief Compute the closest-point transform to a level set. | ||
| 1314 | /// @return the closest point in index space to the surface | ||
| 1315 | /// from which the level set was derived. | ||
| 1316 | /// | ||
| 1317 | /// @note This method assumes that the grid represents a level set | ||
| 1318 | /// with distances in world units and a simple affine transfrom | ||
| 1319 | /// with uniform scaling. | ||
| 1320 | 2 | inline math::Vec3<ValueType> cpt() | |
| 1321 | { | ||
| 1322 | const Coord& ijk = BaseType::getCenterCoord(); | ||
| 1323 | 2 | const ValueType d = ValueType(mValues[0] * 0.5 * mInvDx2); // distance in voxels / (2dx^2) | |
| 1324 | OPENVDB_NO_TYPE_CONVERSION_WARNING_BEGIN | ||
| 1325 | 2 | const auto value = math::Vec3<ValueType>( ijk[0] - d*(mValues[2] - mValues[1]), | |
| 1326 | 2 | ijk[1] - d*(mValues[4] - mValues[3]), | |
| 1327 | 2 | ijk[2] - d*(mValues[6] - mValues[5])); | |
| 1328 | OPENVDB_NO_TYPE_CONVERSION_WARNING_END | ||
| 1329 | 2 | return value; | |
| 1330 | } | ||
| 1331 | |||
| 1332 | /// Return linear offset for the specified stencil point relative to its center | ||
| 1333 | template<int i, int j, int k> | ||
| 1334 | unsigned int pos() const { return GradPt<i,j,k>::idx; } | ||
| 1335 | |||
| 1336 | private: | ||
| 1337 | |||
| 1338 | 8775733 | inline void init(const Coord& ijk) | |
| 1339 | { | ||
| 1340 | 8775733 | BaseType::template setValue<-1, 0, 0>(mAcc.getValue(ijk.offsetBy(-1, 0, 0))); | |
| 1341 | 8775733 | BaseType::template setValue< 1, 0, 0>(mAcc.getValue(ijk.offsetBy( 1, 0, 0))); | |
| 1342 | |||
| 1343 | 8775733 | BaseType::template setValue< 0,-1, 0>(mAcc.getValue(ijk.offsetBy( 0,-1, 0))); | |
| 1344 | 8775733 | BaseType::template setValue< 0, 1, 0>(mAcc.getValue(ijk.offsetBy( 0, 1, 0))); | |
| 1345 | |||
| 1346 | 8775733 | BaseType::template setValue< 0, 0,-1>(mAcc.getValue(ijk.offsetBy( 0, 0,-1))); | |
| 1347 | 8775733 | BaseType::template setValue< 0, 0, 1>(mAcc.getValue(ijk.offsetBy( 0, 0, 1))); | |
| 1348 | 8775733 | } | |
| 1349 | |||
| 1350 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 1351 | using BaseType::mAcc; | ||
| 1352 | using BaseType::mValues; | ||
| 1353 | const ValueType mInv2Dx, mInvDx2; | ||
| 1354 | }; // GradStencil class | ||
| 1355 | |||
| 1356 | //////////////////////////////////////// | ||
| 1357 | |||
| 1358 | |||
| 1359 | /// @brief This is a special 19-point stencil that supports optimal fifth-order WENO | ||
| 1360 | /// upwinding, second-order central differencing, Laplacian, and zero-crossing test. | ||
| 1361 | /// | ||
| 1362 | /// @note For optimal random access performance this class | ||
| 1363 | /// includes its own grid accessor. | ||
| 1364 | template<typename GridT, bool IsSafe = true> | ||
| 1365 | 8 | class WenoStencil: public BaseStencil<WenoStencil<GridT, IsSafe>, GridT, IsSafe> | |
| 1366 | { | ||
| 1367 | typedef WenoStencil<GridT, IsSafe> SelfT; | ||
| 1368 | typedef BaseStencil<SelfT, GridT, IsSafe > BaseType; | ||
| 1369 | public: | ||
| 1370 | typedef GridT GridType; | ||
| 1371 | typedef typename GridT::TreeType TreeType; | ||
| 1372 | typedef typename GridType::ValueType ValueType; | ||
| 1373 | |||
| 1374 | static const int SIZE = 19; | ||
| 1375 | |||
| 1376 | 8 | WenoStencil(const GridType& grid) | |
| 1377 | : BaseType(grid, SIZE) | ||
| 1378 |
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8 | , _mDx2(ValueType(math::Pow2(grid.voxelSize()[0]))) |
| 1379 | 8 | , mInv2Dx(ValueType(0.5 / grid.voxelSize()[0])) | |
| 1380 | 8 | , mInvDx2(ValueType(1.0 / _mDx2)) | |
| 1381 |
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16 | , mDx2(static_cast<float>(_mDx2)) |
| 1382 | { | ||
| 1383 | 8 | } | |
| 1384 | |||
| 1385 | WenoStencil(const GridType& grid, Real dx) | ||
| 1386 | : BaseType(grid, SIZE) | ||
| 1387 | , _mDx2(ValueType(dx * dx)) | ||
| 1388 | , mInv2Dx(ValueType(0.5 / dx)) | ||
| 1389 | , mInvDx2(ValueType(1.0 / _mDx2)) | ||
| 1390 | , mDx2(static_cast<float>(_mDx2)) | ||
| 1391 | { | ||
| 1392 | } | ||
| 1393 | |||
| 1394 | /// @brief Return the norm-square of the WENO upwind gradient (computed via | ||
| 1395 | /// WENO upwinding and Godunov's scheme) at the previously buffered location. | ||
| 1396 | /// | ||
| 1397 | /// @note This method should not be called until the stencil | ||
| 1398 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1399 | 76613 | inline ValueType normSqGrad(const ValueType &isoValue = zeroVal<ValueType>()) const | |
| 1400 | { | ||
| 1401 | const typename BaseType::BufferType& v = mValues; | ||
| 1402 | #ifdef DWA_OPENVDB | ||
| 1403 | // SSE optimized | ||
| 1404 | const simd::Float4 | ||
| 1405 | v1(v[2]-v[1], v[ 8]-v[ 7], v[14]-v[13], 0), | ||
| 1406 | v2(v[3]-v[2], v[ 9]-v[ 8], v[15]-v[14], 0), | ||
| 1407 | v3(v[0]-v[3], v[ 0]-v[ 9], v[ 0]-v[15], 0), | ||
| 1408 | v4(v[4]-v[0], v[10]-v[ 0], v[16]-v[ 0], 0), | ||
| 1409 | v5(v[5]-v[4], v[11]-v[10], v[17]-v[16], 0), | ||
| 1410 | v6(v[6]-v[5], v[12]-v[11], v[18]-v[17], 0), | ||
| 1411 | dP_m = math::WENO5(v1, v2, v3, v4, v5, mDx2), | ||
| 1412 | dP_p = math::WENO5(v6, v5, v4, v3, v2, mDx2); | ||
| 1413 | |||
| 1414 | return mInvDx2 * math::GodunovsNormSqrd(mValues[0] > isoValue, dP_m, dP_p); | ||
| 1415 | #else | ||
| 1416 | const Real | ||
| 1417 | 76613 | dP_xm = math::WENO5(v[ 2]-v[ 1],v[ 3]-v[ 2],v[ 0]-v[ 3],v[ 4]-v[ 0],v[ 5]-v[ 4],mDx2), | |
| 1418 | 76613 | dP_xp = math::WENO5(v[ 6]-v[ 5],v[ 5]-v[ 4],v[ 4]-v[ 0],v[ 0]-v[ 3],v[ 3]-v[ 2],mDx2), | |
| 1419 | 76613 | dP_ym = math::WENO5(v[ 8]-v[ 7],v[ 9]-v[ 8],v[ 0]-v[ 9],v[10]-v[ 0],v[11]-v[10],mDx2), | |
| 1420 | 76613 | dP_yp = math::WENO5(v[12]-v[11],v[11]-v[10],v[10]-v[ 0],v[ 0]-v[ 9],v[ 9]-v[ 8],mDx2), | |
| 1421 | 76613 | dP_zm = math::WENO5(v[14]-v[13],v[15]-v[14],v[ 0]-v[15],v[16]-v[ 0],v[17]-v[16],mDx2), | |
| 1422 | 76613 | dP_zp = math::WENO5(v[18]-v[17],v[17]-v[16],v[16]-v[ 0],v[ 0]-v[15],v[15]-v[14],mDx2); | |
| 1423 | return static_cast<ValueType>( | ||
| 1424 | 76613 | mInvDx2*math::GodunovsNormSqrd(v[0]>isoValue, dP_xm, dP_xp, dP_ym, dP_yp, dP_zm, dP_zp)); | |
| 1425 | #endif | ||
| 1426 | } | ||
| 1427 | |||
| 1428 | /// Return the optimal fifth-order upwind gradient corresponding to the | ||
| 1429 | /// direction V. | ||
| 1430 | /// | ||
| 1431 | /// @note This method should not be called until the stencil | ||
| 1432 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1433 | inline math::Vec3<ValueType> gradient(const math::Vec3<ValueType>& V) const | ||
| 1434 | { | ||
| 1435 | const typename BaseType::BufferType& v = mValues; | ||
| 1436 | return 2*mInv2Dx * math::Vec3<ValueType>( | ||
| 1437 | V[0]>0 ? math::WENO5(v[ 2]-v[ 1],v[ 3]-v[ 2],v[ 0]-v[ 3], v[ 4]-v[ 0],v[ 5]-v[ 4],mDx2) | ||
| 1438 | : math::WENO5(v[ 6]-v[ 5],v[ 5]-v[ 4],v[ 4]-v[ 0], v[ 0]-v[ 3],v[ 3]-v[ 2],mDx2), | ||
| 1439 | V[1]>0 ? math::WENO5(v[ 8]-v[ 7],v[ 9]-v[ 8],v[ 0]-v[ 9], v[10]-v[ 0],v[11]-v[10],mDx2) | ||
| 1440 | : math::WENO5(v[12]-v[11],v[11]-v[10],v[10]-v[ 0], v[ 0]-v[ 9],v[ 9]-v[ 8],mDx2), | ||
| 1441 | V[2]>0 ? math::WENO5(v[14]-v[13],v[15]-v[14],v[ 0]-v[15], v[16]-v[ 0],v[17]-v[16],mDx2) | ||
| 1442 | : math::WENO5(v[18]-v[17],v[17]-v[16],v[16]-v[ 0], v[ 0]-v[15],v[15]-v[14],mDx2)); | ||
| 1443 | } | ||
| 1444 | /// Return the gradient computed at the previously buffered | ||
| 1445 | /// location by second-order central differencing. | ||
| 1446 | /// | ||
| 1447 | /// @note This method should not be called until the stencil | ||
| 1448 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1449 | 1 | inline math::Vec3<ValueType> gradient() const | |
| 1450 | { | ||
| 1451 | 1 | return mInv2Dx * math::Vec3<ValueType>(mValues[ 4] - mValues[ 3], | |
| 1452 | mValues[10] - mValues[ 9], | ||
| 1453 | 1 | mValues[16] - mValues[15]); | |
| 1454 | } | ||
| 1455 | |||
| 1456 | /// Return the Laplacian computed at the previously buffered | ||
| 1457 | /// location by second-order central differencing. | ||
| 1458 | /// | ||
| 1459 | /// @note This method should not be called until the stencil | ||
| 1460 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1461 | inline ValueType laplacian() const | ||
| 1462 | { | ||
| 1463 |
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2 | return mInvDx2 * ( |
| 1464 | 2 | mValues[ 3] + mValues[ 4] + | |
| 1465 | 2 | mValues[ 9] + mValues[10] + | |
| 1466 |
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2 | mValues[15] + mValues[16] - 6*mValues[0]); |
| 1467 | } | ||
| 1468 | |||
| 1469 | /// Return @c true if the sign of the value at the center point of the stencil | ||
| 1470 | /// differs from the sign of any of its six nearest neighbors | ||
| 1471 |
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232732 | inline bool zeroCrossing() const |
| 1472 | { | ||
| 1473 | const typename BaseType::BufferType& v = mValues; | ||
| 1474 |
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232732 | return (v[ 0]>0 ? (v[ 3]<0 || v[ 4]<0 || v[ 9]<0 || v[10]<0 || v[15]<0 || v[16]<0) |
| 1475 |
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|
109438 | : (v[ 3]>0 || v[ 4]>0 || v[ 9]>0 || v[10]>0 || v[15]>0 || v[16]>0)); |
| 1476 | } | ||
| 1477 | |||
| 1478 | private: | ||
| 1479 | 232735 | inline void init(const Coord& ijk) | |
| 1480 | { | ||
| 1481 | 232735 | mValues[ 1] = mAcc.getValue(ijk.offsetBy(-3, 0, 0)); | |
| 1482 | 232735 | mValues[ 2] = mAcc.getValue(ijk.offsetBy(-2, 0, 0)); | |
| 1483 | 232735 | mValues[ 3] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 1484 | 232735 | mValues[ 4] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 1485 | 232735 | mValues[ 5] = mAcc.getValue(ijk.offsetBy( 2, 0, 0)); | |
| 1486 | 232735 | mValues[ 6] = mAcc.getValue(ijk.offsetBy( 3, 0, 0)); | |
| 1487 | |||
| 1488 | 232735 | mValues[ 7] = mAcc.getValue(ijk.offsetBy( 0, -3, 0)); | |
| 1489 | 232735 | mValues[ 8] = mAcc.getValue(ijk.offsetBy( 0, -2, 0)); | |
| 1490 | 232735 | mValues[ 9] = mAcc.getValue(ijk.offsetBy( 0, -1, 0)); | |
| 1491 | 232735 | mValues[10] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 1492 | 232735 | mValues[11] = mAcc.getValue(ijk.offsetBy( 0, 2, 0)); | |
| 1493 | 232735 | mValues[12] = mAcc.getValue(ijk.offsetBy( 0, 3, 0)); | |
| 1494 | |||
| 1495 | 232735 | mValues[13] = mAcc.getValue(ijk.offsetBy( 0, 0, -3)); | |
| 1496 | 232735 | mValues[14] = mAcc.getValue(ijk.offsetBy( 0, 0, -2)); | |
| 1497 | 232735 | mValues[15] = mAcc.getValue(ijk.offsetBy( 0, 0, -1)); | |
| 1498 | 232735 | mValues[16] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 1499 | 232735 | mValues[17] = mAcc.getValue(ijk.offsetBy( 0, 0, 2)); | |
| 1500 | 232735 | mValues[18] = mAcc.getValue(ijk.offsetBy( 0, 0, 3)); | |
| 1501 | 232735 | } | |
| 1502 | |||
| 1503 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 1504 | using BaseType::mAcc; | ||
| 1505 | using BaseType::mValues; | ||
| 1506 | const ValueType _mDx2, mInv2Dx, mInvDx2; | ||
| 1507 | const float mDx2; | ||
| 1508 | }; // WenoStencil class | ||
| 1509 | |||
| 1510 | |||
| 1511 | ////////////////////////////////////////////////////////////////////// | ||
| 1512 | |||
| 1513 | |||
| 1514 | template<typename GridT, bool IsSafe = true> | ||
| 1515 |
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4 | class CurvatureStencil: public BaseStencil<CurvatureStencil<GridT, IsSafe>, GridT, IsSafe> |
| 1516 | { | ||
| 1517 | typedef CurvatureStencil<GridT, IsSafe> SelfT; | ||
| 1518 | typedef BaseStencil<SelfT, GridT, IsSafe> BaseType; | ||
| 1519 | public: | ||
| 1520 | typedef GridT GridType; | ||
| 1521 | typedef typename GridT::TreeType TreeType; | ||
| 1522 | typedef typename GridT::ValueType ValueType; | ||
| 1523 | |||
| 1524 | static const int SIZE = 19; | ||
| 1525 | |||
| 1526 | 918 | CurvatureStencil(const GridType& grid) | |
| 1527 | : BaseType(grid, SIZE) | ||
| 1528 | 918 | , mInv2Dx(ValueType(0.5 / grid.voxelSize()[0])) | |
| 1529 | 918 | , mInvDx2(ValueType(4.0 * mInv2Dx * mInv2Dx)) | |
| 1530 | { | ||
| 1531 | 918 | } | |
| 1532 | |||
| 1533 | ✗ | CurvatureStencil(const GridType& grid, Real dx) | |
| 1534 | : BaseType(grid, SIZE) | ||
| 1535 | ✗ | , mInv2Dx(ValueType(0.5 / dx)) | |
| 1536 | ✗ | , mInvDx2(ValueType(4.0 * mInv2Dx * mInv2Dx)) | |
| 1537 | { | ||
| 1538 | } | ||
| 1539 | |||
| 1540 | /// @brief Return the mean curvature at the previously buffered location. | ||
| 1541 | /// | ||
| 1542 | /// @note This method should not be called until the stencil | ||
| 1543 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1544 | 4 | inline ValueType meanCurvature() const | |
| 1545 | { | ||
| 1546 | Real alpha, normGrad; | ||
| 1547 |
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4 | return this->meanCurvature(alpha, normGrad) ? |
| 1548 | 3 | ValueType(alpha*mInv2Dx/math::Pow3(normGrad)) : 0; | |
| 1549 | } | ||
| 1550 | |||
| 1551 | /// @brief Return the Gaussian curvature at the previously buffered location. | ||
| 1552 | /// | ||
| 1553 | /// @note This method should not be called until the stencil | ||
| 1554 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1555 | 3 | inline ValueType gaussianCurvature() const | |
| 1556 | { | ||
| 1557 | Real alpha, normGrad; | ||
| 1558 |
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3 | return this->gaussianCurvature(alpha, normGrad) ? |
| 1559 | 3 | ValueType(alpha*mInvDx2/math::Pow4(normGrad)) : 0; | |
| 1560 | } | ||
| 1561 | |||
| 1562 | /// @brief Return both the mean and the Gaussian curvature at the | ||
| 1563 | /// previously buffered location. | ||
| 1564 | /// | ||
| 1565 | /// @note This method should not be called until the stencil | ||
| 1566 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1567 | 19280214 | inline void curvatures(ValueType &mean, ValueType& gauss) const | |
| 1568 | { | ||
| 1569 | Real alphaM, alphaG, normGrad; | ||
| 1570 |
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19280214 | if (this->curvatures(alphaM, alphaG, normGrad)) { |
| 1571 | 19280214 | mean = ValueType(alphaM*mInv2Dx/math::Pow3(normGrad)); | |
| 1572 | 19280214 | gauss = ValueType(alphaG*mInvDx2/math::Pow4(normGrad)); | |
| 1573 | } else { | ||
| 1574 | ✗ | mean = gauss = 0; | |
| 1575 | } | ||
| 1576 | 19280214 | } | |
| 1577 | |||
| 1578 | /// Return the mean curvature multiplied by the norm of the | ||
| 1579 | /// central-difference gradient. This method is very useful for | ||
| 1580 | /// mean-curvature flow of level sets! | ||
| 1581 | /// | ||
| 1582 | /// @note This method should not be called until the stencil | ||
| 1583 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1584 | 3 | inline ValueType meanCurvatureNormGrad() const | |
| 1585 | { | ||
| 1586 | Real alpha, normGrad; | ||
| 1587 |
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3 | return this->meanCurvature(alpha, normGrad) ? |
| 1588 | 2 | ValueType(alpha*mInvDx2/(2*math::Pow2(normGrad))) : 0; | |
| 1589 | } | ||
| 1590 | |||
| 1591 | /// Return the mean Gaussian multiplied by the norm of the | ||
| 1592 | /// central-difference gradient. | ||
| 1593 | /// | ||
| 1594 | /// @note This method should not be called until the stencil | ||
| 1595 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1596 | 2 | inline ValueType gaussianCurvatureNormGrad() const | |
| 1597 | { | ||
| 1598 | Real alpha, normGrad; | ||
| 1599 |
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2 | return this->gaussianCurvature(alpha, normGrad) ? |
| 1600 | 2 | ValueType(2*alpha*mInv2Dx*mInvDx2/math::Pow3(normGrad)) : 0; | |
| 1601 | } | ||
| 1602 | |||
| 1603 | /// @brief Return both the mean and the Gaussian curvature at the | ||
| 1604 | /// previously buffered location. | ||
| 1605 | /// | ||
| 1606 | /// @note This method should not be called until the stencil | ||
| 1607 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1608 | 1 | inline void curvaturesNormGrad(ValueType &mean, ValueType& gauss) const | |
| 1609 | { | ||
| 1610 | Real alphaM, alphaG, normGrad; | ||
| 1611 |
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1 | if (this->curvatures(alphaM, alphaG, normGrad)) { |
| 1612 | 1 | mean = ValueType(alphaM*mInvDx2/(2*math::Pow2(normGrad))); | |
| 1613 | 1 | gauss = ValueType(2*alphaG*mInv2Dx*mInvDx2/math::Pow3(normGrad)); | |
| 1614 | } else { | ||
| 1615 | ✗ | mean = gauss = 0; | |
| 1616 | } | ||
| 1617 | 1 | } | |
| 1618 | |||
| 1619 | /// @brief Return the pair (minimum, maximum) principal curvature at the | ||
| 1620 | /// previously buffered location. | ||
| 1621 | /// | ||
| 1622 | /// @note This method should not be called until the stencil | ||
| 1623 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1624 | 2 | inline std::pair<ValueType, ValueType> principalCurvatures() const | |
| 1625 | { | ||
| 1626 | 2 | std::pair<ValueType, ValueType> pair(0, 0);// min, max | |
| 1627 | Real alphaM, alphaG, normGrad; | ||
| 1628 |
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2 | if (this->curvatures(alphaM, alphaG, normGrad)) { |
| 1629 | 2 | const Real mean = alphaM*mInv2Dx/math::Pow3(normGrad); | |
| 1630 | 2 | const Real tmp = std::sqrt(mean*mean - alphaG*mInvDx2/math::Pow4(normGrad)); | |
| 1631 | 2 | pair.first = ValueType(mean - tmp); | |
| 1632 | 2 | pair.second = ValueType(mean + tmp); | |
| 1633 | } | ||
| 1634 | 2 | return pair;// min, max | |
| 1635 | } | ||
| 1636 | |||
| 1637 | /// Return the Laplacian computed at the previously buffered | ||
| 1638 | /// location by second-order central differencing. | ||
| 1639 | /// | ||
| 1640 | /// @note This method should not be called until the stencil | ||
| 1641 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1642 | inline ValueType laplacian() const | ||
| 1643 | { | ||
| 1644 |
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2 | return mInvDx2 * ( |
| 1645 | 2 | mValues[1] + mValues[2] + | |
| 1646 | 2 | mValues[3] + mValues[4] + | |
| 1647 |
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|
2 | mValues[5] + mValues[6] - 6*mValues[0]); |
| 1648 | } | ||
| 1649 | |||
| 1650 | /// Return the gradient computed at the previously buffered | ||
| 1651 | /// location by second-order central differencing. | ||
| 1652 | /// | ||
| 1653 | /// @note This method should not be called until the stencil | ||
| 1654 | /// buffer has been populated via a call to moveTo(ijk). | ||
| 1655 | 9640107 | inline math::Vec3<ValueType> gradient() const | |
| 1656 | { | ||
| 1657 | return math::Vec3<ValueType>( | ||
| 1658 | mValues[2] - mValues[1], | ||
| 1659 | mValues[4] - mValues[3], | ||
| 1660 | 1 | mValues[6] - mValues[5])*mInv2Dx; | |
| 1661 | } | ||
| 1662 | |||
| 1663 | private: | ||
| 1664 | 19280219 | inline void init(const Coord &ijk) | |
| 1665 | { | ||
| 1666 | 19280219 | mValues[ 1] = mAcc.getValue(ijk.offsetBy(-1, 0, 0)); | |
| 1667 | 19280219 | mValues[ 2] = mAcc.getValue(ijk.offsetBy( 1, 0, 0)); | |
| 1668 | |||
| 1669 | 19280219 | mValues[ 3] = mAcc.getValue(ijk.offsetBy( 0, -1, 0)); | |
| 1670 | 19280219 | mValues[ 4] = mAcc.getValue(ijk.offsetBy( 0, 1, 0)); | |
| 1671 | |||
| 1672 | 19280219 | mValues[ 5] = mAcc.getValue(ijk.offsetBy( 0, 0, -1)); | |
| 1673 | 19280219 | mValues[ 6] = mAcc.getValue(ijk.offsetBy( 0, 0, 1)); | |
| 1674 | |||
| 1675 | 19280219 | mValues[ 7] = mAcc.getValue(ijk.offsetBy(-1, -1, 0)); | |
| 1676 | 19280219 | mValues[ 8] = mAcc.getValue(ijk.offsetBy( 1, -1, 0)); | |
| 1677 | 19280219 | mValues[ 9] = mAcc.getValue(ijk.offsetBy(-1, 1, 0)); | |
| 1678 | 19280219 | mValues[10] = mAcc.getValue(ijk.offsetBy( 1, 1, 0)); | |
| 1679 | |||
| 1680 | 19280219 | mValues[11] = mAcc.getValue(ijk.offsetBy(-1, 0, -1)); | |
| 1681 | 19280219 | mValues[12] = mAcc.getValue(ijk.offsetBy( 1, 0, -1)); | |
| 1682 | 19280219 | mValues[13] = mAcc.getValue(ijk.offsetBy(-1, 0, 1)); | |
| 1683 | 19280219 | mValues[14] = mAcc.getValue(ijk.offsetBy( 1, 0, 1)); | |
| 1684 | |||
| 1685 | 19280219 | mValues[15] = mAcc.getValue(ijk.offsetBy( 0, -1, -1)); | |
| 1686 | 19280219 | mValues[16] = mAcc.getValue(ijk.offsetBy( 0, 1, -1)); | |
| 1687 | 19280219 | mValues[17] = mAcc.getValue(ijk.offsetBy( 0, -1, 1)); | |
| 1688 | 19280219 | mValues[18] = mAcc.getValue(ijk.offsetBy( 0, 1, 1)); | |
| 1689 | 19280219 | } | |
| 1690 | |||
| 1691 | 9640123 | inline Real Dx() const { return 0.5*(mValues[2] - mValues[1]); }// * 1/dx | |
| 1692 | 9640123 | inline Real Dy() const { return 0.5*(mValues[4] - mValues[3]); }// * 1/dx | |
| 1693 | 9640123 | inline Real Dz() const { return 0.5*(mValues[6] - mValues[5]); }// * 1/dx | |
| 1694 | 9640121 | inline Real Dxx() const { return mValues[2] - 2 * mValues[0] + mValues[1]; }// * 1/dx2 | |
| 1695 | 9640121 | inline Real Dyy() const { return mValues[4] - 2 * mValues[0] + mValues[3]; }// * 1/dx2} | |
| 1696 | 9640121 | inline Real Dzz() const { return mValues[6] - 2 * mValues[0] + mValues[5]; }// * 1/dx2 | |
| 1697 | 9640121 | inline Real Dxy() const { return 0.25 * (mValues[10] - mValues[ 8] + mValues[ 7] - mValues[ 9]); }// * 1/dx2 | |
| 1698 | 9640121 | inline Real Dxz() const { return 0.25 * (mValues[14] - mValues[12] + mValues[11] - mValues[13]); }// * 1/dx2 | |
| 1699 | 9640121 | inline Real Dyz() const { return 0.25 * (mValues[18] - mValues[16] + mValues[15] - mValues[17]); }// * 1/dx2 | |
| 1700 | |||
| 1701 |
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7 | inline bool meanCurvature(Real& alpha, Real& normGrad) const |
| 1702 | { | ||
| 1703 | // For performance all finite differences are unscaled wrt dx | ||
| 1704 | const Real Dx = this->Dx(), Dy = this->Dy(), Dz = this->Dz(), | ||
| 1705 | 7 | Dx2 = Dx*Dx, Dy2 = Dy*Dy, Dz2 = Dz*Dz, normGrad2 = Dx2 + Dy2 + Dz2; | |
| 1706 |
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7 | if (normGrad2 <= math::Tolerance<Real>::value()) { |
| 1707 | 2 | alpha = normGrad = 0; | |
| 1708 | 2 | return false; | |
| 1709 | } | ||
| 1710 | const Real Dxx = this->Dxx(), Dyy = this->Dyy(), Dzz = this->Dzz(); | ||
| 1711 | 5 | alpha = Dx2*(Dyy + Dzz) + Dy2*(Dxx + Dzz) + Dz2*(Dxx + Dyy) - | |
| 1712 | 5 | 2*(Dx*(Dy*this->Dxy() + Dz*this->Dxz()) + Dy*Dz*this->Dyz());// * 1/dx^4 | |
| 1713 | 5 | normGrad = std::sqrt(normGrad2); // * 1/dx | |
| 1714 | 5 | return true; | |
| 1715 | } | ||
| 1716 | |||
| 1717 |
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5 | inline bool gaussianCurvature(Real& alpha, Real& normGrad) const |
| 1718 | { | ||
| 1719 | // For performance all finite differences are unscaled wrt dx | ||
| 1720 | const Real Dx = this->Dx(), Dy = this->Dy(), Dz = this->Dz(), | ||
| 1721 | 5 | Dx2 = Dx*Dx, Dy2 = Dy*Dy, Dz2 = Dz*Dz, normGrad2 = Dx2 + Dy2 + Dz2; | |
| 1722 |
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5 | if (normGrad2 <= math::Tolerance<Real>::value()) { |
| 1723 | ✗ | alpha = normGrad = 0; | |
| 1724 | ✗ | return false; | |
| 1725 | } | ||
| 1726 | const Real Dxx = this->Dxx(), Dyy = this->Dyy(), Dzz = this->Dzz(), | ||
| 1727 | Dxy = this->Dxy(), Dxz = this->Dxz(), Dyz = this->Dyz(); | ||
| 1728 | 5 | alpha = Dx2*(Dyy*Dzz - Dyz*Dyz) + Dy2*(Dxx*Dzz - Dxz*Dxz) + Dz2*(Dxx*Dyy - Dxy*Dxy) + | |
| 1729 | 5 | 2*( Dy*Dz*(Dxy*Dxz - Dyz*Dxx) + Dx*Dz*(Dxy*Dyz - Dxz*Dyy) + Dx*Dy*(Dxz*Dyz - Dxy*Dzz) );// * 1/dx^6 | |
| 1730 | 5 | normGrad = std::sqrt(normGrad2); // * 1/dx | |
| 1731 | 5 | return true; | |
| 1732 | } | ||
| 1733 |
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9640111 | inline bool curvatures(Real& alphaM, Real& alphaG, Real& normGrad) const |
| 1734 | { | ||
| 1735 | // For performance all finite differences are unscaled wrt dx | ||
| 1736 | const Real Dx = this->Dx(), Dy = this->Dy(), Dz = this->Dz(), | ||
| 1737 | 9640111 | Dx2 = Dx*Dx, Dy2 = Dy*Dy, Dz2 = Dz*Dz, normGrad2 = Dx2 + Dy2 + Dz2; | |
| 1738 |
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9640111 | if (normGrad2 <= math::Tolerance<Real>::value()) { |
| 1739 | ✗ | alphaM = alphaG =normGrad = 0; | |
| 1740 | ✗ | return false; | |
| 1741 | } | ||
| 1742 | const Real Dxx = this->Dxx(), Dyy = this->Dyy(), Dzz = this->Dzz(), | ||
| 1743 | Dxy = this->Dxy(), Dxz = this->Dxz(), Dyz = this->Dyz(); | ||
| 1744 | 9640111 | alphaM = Dx2*(Dyy + Dzz) + Dy2*(Dxx + Dzz) + Dz2*(Dxx + Dyy) - | |
| 1745 | 9640111 | 2*(Dx*(Dy*Dxy + Dz*Dxz) + Dy*Dz*Dyz);// *1/dx^4 | |
| 1746 | 9640111 | alphaG = Dx2*(Dyy*Dzz - Dyz*Dyz) + Dy2*(Dxx*Dzz - Dxz*Dxz) + Dz2*(Dxx*Dyy - Dxy*Dxy) + | |
| 1747 | 9640111 | 2*( Dy*Dz*(Dxy*Dxz - Dyz*Dxx) + Dx*Dz*(Dxy*Dyz - Dxz*Dyy) + Dx*Dy*(Dxz*Dyz - Dxy*Dzz) );// *1/dx^6 | |
| 1748 | 9640111 | normGrad = std::sqrt(normGrad2); // * 1/dx | |
| 1749 | 9640111 | return true; | |
| 1750 | } | ||
| 1751 | |||
| 1752 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 1753 | using BaseType::mAcc; | ||
| 1754 | using BaseType::mValues; | ||
| 1755 | const ValueType mInv2Dx, mInvDx2; | ||
| 1756 | }; // CurvatureStencil class | ||
| 1757 | |||
| 1758 | |||
| 1759 | ////////////////////////////////////////////////////////////////////// | ||
| 1760 | |||
| 1761 | |||
| 1762 | /// @brief Dense stencil of a given width | ||
| 1763 | template<typename GridT, bool IsSafe = true> | ||
| 1764 |
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381 | class DenseStencil: public BaseStencil<DenseStencil<GridT, IsSafe>, GridT, IsSafe> |
| 1765 | { | ||
| 1766 | typedef DenseStencil<GridT, IsSafe> SelfT; | ||
| 1767 | typedef BaseStencil<SelfT, GridT, IsSafe> BaseType; | ||
| 1768 | public: | ||
| 1769 | typedef GridT GridType; | ||
| 1770 | typedef typename GridT::TreeType TreeType; | ||
| 1771 | typedef typename GridType::ValueType ValueType; | ||
| 1772 | |||
| 1773 | 526 | DenseStencil(const GridType& grid, int halfWidth) | |
| 1774 | 524 | : BaseType(grid, /*size=*/math::Pow3(2 * halfWidth + 1)) | |
| 1775 |
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526 | , mHalfWidth(halfWidth) |
| 1776 | { | ||
| 1777 |
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524 | assert(halfWidth>0); |
| 1778 | 524 | } | |
| 1779 | |||
| 1780 | inline const ValueType& getCenterValue() const { return mValues[(mValues.size()-1)>>1]; } | ||
| 1781 | |||
| 1782 | /// @brief Initialize the stencil buffer with the values of voxel (x, y, z) | ||
| 1783 | /// and its neighbors. | ||
| 1784 | inline void moveTo(const Coord& ijk) | ||
| 1785 | { | ||
| 1786 | 1518960 | BaseType::mCenter = ijk; | |
| 1787 |
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1518960 | this->init(ijk); |
| 1788 | 128000 | } | |
| 1789 | /// @brief Initialize the stencil buffer with the values of voxel | ||
| 1790 | /// (x, y, z) and its neighbors. | ||
| 1791 | template<typename IterType> | ||
| 1792 | inline void moveTo(const IterType& iter) | ||
| 1793 | { | ||
| 1794 |
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756736 | BaseType::mCenter = iter.getCoord(); |
| 1795 |
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756736 | this->init(BaseType::mCenter); |
| 1796 | 756736 | } | |
| 1797 | |||
| 1798 | private: | ||
| 1799 | /// Initialize the stencil buffer centered at (i, j, k). | ||
| 1800 | /// @warning The center point is NOT at mValues[0] for this DenseStencil! | ||
| 1801 | 3032432 | inline void init(const Coord& ijk) | |
| 1802 | { | ||
| 1803 | int n = 0; | ||
| 1804 |
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12641728 | for (Coord p=ijk.offsetBy(-mHalfWidth), q=ijk.offsetBy(mHalfWidth); p[0] <= q[0]; ++p[0]) { |
| 1805 |
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40997184 | for (p[1] = ijk[1]-mHalfWidth; p[1] <= q[1]; ++p[1]) { |
| 1806 |
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138351552 | for (p[2] = ijk[2]-mHalfWidth; p[2] <= q[2]; ++p[2]) { |
| 1807 | 106963664 | mValues[n++] = mAcc.getValue(p); | |
| 1808 | } | ||
| 1809 | } | ||
| 1810 | } | ||
| 1811 | 3032432 | } | |
| 1812 | |||
| 1813 | template<typename, typename, bool> friend class BaseStencil; // allow base class to call init() | ||
| 1814 | using BaseType::mAcc; | ||
| 1815 | using BaseType::mValues; | ||
| 1816 | const int mHalfWidth; | ||
| 1817 | };// DenseStencil class | ||
| 1818 | |||
| 1819 | |||
| 1820 | } // end math namespace | ||
| 1821 | } // namespace OPENVDB_VERSION_NAME | ||
| 1822 | } // end openvdb namespace | ||
| 1823 | |||
| 1824 | #endif // OPENVDB_MATH_STENCILS_HAS_BEEN_INCLUDED | ||
| 1825 |