cart-elc

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TensorVolumePatch.h (30089B)


      1 // This file is part of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 
      4 #ifndef EIGEN_CXX11_TENSOR_TENSOR_VOLUME_PATCH_H
      5 #define EIGEN_CXX11_TENSOR_TENSOR_VOLUME_PATCH_H
      6 
      7 namespace Eigen {
      8 
      9 /** \class TensorVolumePatch
     10   * \ingroup CXX11_Tensor_Module
     11   *
     12   * \brief Patch extraction specialized for processing of volumetric data.
     13   * This assumes that the input has a least 4 dimensions ordered as follows:
     14   *  - channels
     15   *  - planes
     16   *  - rows
     17   *  - columns
     18   *  - (optional) additional dimensions such as time or batch size.
     19   * Calling the volume patch code with patch_planes, patch_rows, and patch_cols
     20   * is equivalent to calling the regular patch extraction code with parameters
     21   * d, patch_planes, patch_rows, patch_cols, and 1 for all the additional
     22   * dimensions.
     23   */
     24 namespace internal {
     25 
     26 template<DenseIndex Planes, DenseIndex Rows, DenseIndex Cols, typename XprType>
     27 struct traits<TensorVolumePatchOp<Planes, Rows, Cols, XprType> > : public traits<XprType>
     28 {
     29   typedef typename internal::remove_const<typename XprType::Scalar>::type Scalar;
     30   typedef traits<XprType> XprTraits;
     31   typedef typename XprTraits::StorageKind StorageKind;
     32   typedef typename XprTraits::Index Index;
     33   typedef typename XprType::Nested Nested;
     34   typedef typename remove_reference<Nested>::type _Nested;
     35   static const int NumDimensions = XprTraits::NumDimensions + 1;
     36   static const int Layout = XprTraits::Layout;
     37   typedef typename XprTraits::PointerType PointerType;
     38 
     39 };
     40 
     41 template<DenseIndex Planes, DenseIndex Rows, DenseIndex Cols, typename XprType>
     42 struct eval<TensorVolumePatchOp<Planes, Rows, Cols, XprType>, Eigen::Dense>
     43 {
     44   typedef const TensorVolumePatchOp<Planes, Rows, Cols, XprType>& type;
     45 };
     46 
     47 template<DenseIndex Planes, DenseIndex Rows, DenseIndex Cols, typename XprType>
     48 struct nested<TensorVolumePatchOp<Planes, Rows, Cols, XprType>, 1, typename eval<TensorVolumePatchOp<Planes, Rows, Cols, XprType> >::type>
     49 {
     50   typedef TensorVolumePatchOp<Planes, Rows, Cols, XprType> type;
     51 };
     52 
     53 }  // end namespace internal
     54 
     55 template<DenseIndex Planes, DenseIndex Rows, DenseIndex Cols, typename XprType>
     56 class TensorVolumePatchOp : public TensorBase<TensorVolumePatchOp<Planes, Rows, Cols, XprType>, ReadOnlyAccessors>
     57 {
     58   public:
     59   typedef typename Eigen::internal::traits<TensorVolumePatchOp>::Scalar Scalar;
     60   typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;
     61   typedef typename XprType::CoeffReturnType CoeffReturnType;
     62   typedef typename Eigen::internal::nested<TensorVolumePatchOp>::type Nested;
     63   typedef typename Eigen::internal::traits<TensorVolumePatchOp>::StorageKind StorageKind;
     64   typedef typename Eigen::internal::traits<TensorVolumePatchOp>::Index Index;
     65 
     66   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorVolumePatchOp(const XprType& expr, DenseIndex patch_planes, DenseIndex patch_rows, DenseIndex patch_cols,
     67                                                             DenseIndex plane_strides, DenseIndex row_strides, DenseIndex col_strides,
     68                                                             DenseIndex in_plane_strides, DenseIndex in_row_strides, DenseIndex in_col_strides,
     69                                                             DenseIndex plane_inflate_strides, DenseIndex row_inflate_strides, DenseIndex col_inflate_strides,
     70                                                             PaddingType padding_type, Scalar padding_value)
     71                                                             : m_xpr(expr), m_patch_planes(patch_planes), m_patch_rows(patch_rows), m_patch_cols(patch_cols),
     72                                                             m_plane_strides(plane_strides), m_row_strides(row_strides), m_col_strides(col_strides),
     73                                                             m_in_plane_strides(in_plane_strides), m_in_row_strides(in_row_strides), m_in_col_strides(in_col_strides),
     74                                                             m_plane_inflate_strides(plane_inflate_strides), m_row_inflate_strides(row_inflate_strides), m_col_inflate_strides(col_inflate_strides),
     75                                                             m_padding_explicit(false), m_padding_top_z(0), m_padding_bottom_z(0), m_padding_top(0), m_padding_bottom(0), m_padding_left(0), m_padding_right(0),
     76                                                             m_padding_type(padding_type), m_padding_value(padding_value) {}
     77 
     78   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorVolumePatchOp(const XprType& expr, DenseIndex patch_planes, DenseIndex patch_rows, DenseIndex patch_cols,
     79                                                            DenseIndex plane_strides, DenseIndex row_strides, DenseIndex col_strides,
     80                                                            DenseIndex in_plane_strides, DenseIndex in_row_strides, DenseIndex in_col_strides,
     81                                                            DenseIndex plane_inflate_strides, DenseIndex row_inflate_strides, DenseIndex col_inflate_strides,
     82                                                            DenseIndex padding_top_z, DenseIndex padding_bottom_z,
     83                                                            DenseIndex padding_top, DenseIndex padding_bottom,
     84                                                            DenseIndex padding_left, DenseIndex padding_right,
     85                                                            Scalar padding_value)
     86                                                            : m_xpr(expr), m_patch_planes(patch_planes), m_patch_rows(patch_rows), m_patch_cols(patch_cols),
     87                                                            m_plane_strides(plane_strides), m_row_strides(row_strides), m_col_strides(col_strides),
     88                                                            m_in_plane_strides(in_plane_strides), m_in_row_strides(in_row_strides), m_in_col_strides(in_col_strides),
     89                                                            m_plane_inflate_strides(plane_inflate_strides), m_row_inflate_strides(row_inflate_strides), m_col_inflate_strides(col_inflate_strides),
     90                                                            m_padding_explicit(true), m_padding_top_z(padding_top_z), m_padding_bottom_z(padding_bottom_z), m_padding_top(padding_top), m_padding_bottom(padding_bottom),
     91                                                            m_padding_left(padding_left), m_padding_right(padding_right),
     92                                                            m_padding_type(PADDING_VALID), m_padding_value(padding_value) {}
     93 
     94     EIGEN_DEVICE_FUNC
     95     DenseIndex patch_planes() const { return m_patch_planes; }
     96     EIGEN_DEVICE_FUNC
     97     DenseIndex patch_rows() const { return m_patch_rows; }
     98     EIGEN_DEVICE_FUNC
     99     DenseIndex patch_cols() const { return m_patch_cols; }
    100     EIGEN_DEVICE_FUNC
    101     DenseIndex plane_strides() const { return m_plane_strides; }
    102     EIGEN_DEVICE_FUNC
    103     DenseIndex row_strides() const { return m_row_strides; }
    104     EIGEN_DEVICE_FUNC
    105     DenseIndex col_strides() const { return m_col_strides; }
    106     EIGEN_DEVICE_FUNC
    107     DenseIndex in_plane_strides() const { return m_in_plane_strides; }
    108     EIGEN_DEVICE_FUNC
    109     DenseIndex in_row_strides() const { return m_in_row_strides; }
    110     EIGEN_DEVICE_FUNC
    111     DenseIndex in_col_strides() const { return m_in_col_strides; }
    112     EIGEN_DEVICE_FUNC
    113     DenseIndex plane_inflate_strides() const { return m_plane_inflate_strides; }
    114     EIGEN_DEVICE_FUNC
    115     DenseIndex row_inflate_strides() const { return m_row_inflate_strides; }
    116     EIGEN_DEVICE_FUNC
    117     DenseIndex col_inflate_strides() const { return m_col_inflate_strides; }
    118     EIGEN_DEVICE_FUNC
    119     bool padding_explicit() const { return m_padding_explicit; }
    120     EIGEN_DEVICE_FUNC
    121     DenseIndex padding_top_z() const { return m_padding_top_z; }
    122     EIGEN_DEVICE_FUNC
    123     DenseIndex padding_bottom_z() const { return m_padding_bottom_z; }
    124     EIGEN_DEVICE_FUNC
    125     DenseIndex padding_top() const { return m_padding_top; }
    126     EIGEN_DEVICE_FUNC
    127     DenseIndex padding_bottom() const { return m_padding_bottom; }
    128     EIGEN_DEVICE_FUNC
    129     DenseIndex padding_left() const { return m_padding_left; }
    130     EIGEN_DEVICE_FUNC
    131     DenseIndex padding_right() const { return m_padding_right; }
    132     EIGEN_DEVICE_FUNC
    133     PaddingType padding_type() const { return m_padding_type; }
    134     EIGEN_DEVICE_FUNC
    135     Scalar padding_value() const { return m_padding_value; }
    136 
    137     EIGEN_DEVICE_FUNC
    138     const typename internal::remove_all<typename XprType::Nested>::type&
    139     expression() const { return m_xpr; }
    140 
    141   protected:
    142     typename XprType::Nested m_xpr;
    143     const DenseIndex m_patch_planes;
    144     const DenseIndex m_patch_rows;
    145     const DenseIndex m_patch_cols;
    146     const DenseIndex m_plane_strides;
    147     const DenseIndex m_row_strides;
    148     const DenseIndex m_col_strides;
    149     const DenseIndex m_in_plane_strides;
    150     const DenseIndex m_in_row_strides;
    151     const DenseIndex m_in_col_strides;
    152     const DenseIndex m_plane_inflate_strides;
    153     const DenseIndex m_row_inflate_strides;
    154     const DenseIndex m_col_inflate_strides;
    155     const bool m_padding_explicit;
    156     const DenseIndex m_padding_top_z;
    157     const DenseIndex m_padding_bottom_z;
    158     const DenseIndex m_padding_top;
    159     const DenseIndex m_padding_bottom;
    160     const DenseIndex m_padding_left;
    161     const DenseIndex m_padding_right;
    162     const PaddingType m_padding_type;
    163     const Scalar m_padding_value;
    164 };
    165 
    166 
    167 // Eval as rvalue
    168 template<DenseIndex Planes, DenseIndex Rows, DenseIndex Cols, typename ArgType, typename Device>
    169 struct TensorEvaluator<const TensorVolumePatchOp<Planes, Rows, Cols, ArgType>, Device>
    170 {
    171   typedef TensorVolumePatchOp<Planes, Rows, Cols, ArgType> XprType;
    172   typedef typename XprType::Index Index;
    173   static const int NumInputDims = internal::array_size<typename TensorEvaluator<ArgType, Device>::Dimensions>::value;
    174   static const int NumDims = NumInputDims + 1;
    175   typedef DSizes<Index, NumDims> Dimensions;
    176   typedef typename internal::remove_const<typename XprType::Scalar>::type Scalar;
    177   typedef typename XprType::CoeffReturnType CoeffReturnType;
    178   typedef typename PacketType<CoeffReturnType, Device>::type PacketReturnType;
    179   static const int PacketSize = PacketType<CoeffReturnType, Device>::size;
    180   typedef StorageMemory<CoeffReturnType, Device> Storage;
    181   typedef typename Storage::Type EvaluatorPointerType;
    182 
    183   enum {
    184     IsAligned = false,
    185     PacketAccess = TensorEvaluator<ArgType, Device>::PacketAccess,
    186     BlockAccess = false,
    187     PreferBlockAccess = TensorEvaluator<ArgType, Device>::PreferBlockAccess,
    188     Layout = TensorEvaluator<ArgType, Device>::Layout,
    189     CoordAccess = false,
    190     RawAccess = false
    191   };
    192 
    193   //===- Tensor block evaluation strategy (see TensorBlock.h) -------------===//
    194   typedef internal::TensorBlockNotImplemented TensorBlock;
    195   //===--------------------------------------------------------------------===//
    196 
    197   EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device) :
    198  m_impl(op.expression(), device)
    199   {
    200     EIGEN_STATIC_ASSERT((NumDims >= 5), YOU_MADE_A_PROGRAMMING_MISTAKE);
    201 
    202     m_paddingValue = op.padding_value();
    203 
    204     const typename TensorEvaluator<ArgType, Device>::Dimensions& input_dims = m_impl.dimensions();
    205 
    206     // Cache a few variables.
    207     if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
    208       m_inputDepth = input_dims[0];
    209       m_inputPlanes = input_dims[1];
    210       m_inputRows = input_dims[2];
    211       m_inputCols = input_dims[3];
    212     } else {
    213       m_inputDepth = input_dims[NumInputDims-1];
    214       m_inputPlanes = input_dims[NumInputDims-2];
    215       m_inputRows = input_dims[NumInputDims-3];
    216       m_inputCols = input_dims[NumInputDims-4];
    217     }
    218 
    219     m_plane_strides = op.plane_strides();
    220     m_row_strides = op.row_strides();
    221     m_col_strides = op.col_strides();
    222 
    223     // Input strides and effective input/patch size
    224     m_in_plane_strides = op.in_plane_strides();
    225     m_in_row_strides = op.in_row_strides();
    226     m_in_col_strides = op.in_col_strides();
    227     m_plane_inflate_strides = op.plane_inflate_strides();
    228     m_row_inflate_strides = op.row_inflate_strides();
    229     m_col_inflate_strides = op.col_inflate_strides();
    230 
    231     // The "effective" spatial size after inflating data with zeros.
    232     m_input_planes_eff = (m_inputPlanes - 1) * m_plane_inflate_strides + 1;
    233     m_input_rows_eff = (m_inputRows - 1) * m_row_inflate_strides + 1;
    234     m_input_cols_eff = (m_inputCols - 1) * m_col_inflate_strides + 1;
    235     m_patch_planes_eff = op.patch_planes() + (op.patch_planes() - 1) * (m_in_plane_strides - 1);
    236     m_patch_rows_eff = op.patch_rows() + (op.patch_rows() - 1) * (m_in_row_strides - 1);
    237     m_patch_cols_eff = op.patch_cols() + (op.patch_cols() - 1) * (m_in_col_strides - 1);
    238 
    239     if (op.padding_explicit()) {
    240       m_outputPlanes = numext::ceil((m_input_planes_eff + op.padding_top_z() + op.padding_bottom_z() - m_patch_planes_eff + 1.f) / static_cast<float>(m_plane_strides));
    241       m_outputRows = numext::ceil((m_input_rows_eff + op.padding_top() + op.padding_bottom() - m_patch_rows_eff + 1.f) / static_cast<float>(m_row_strides));
    242       m_outputCols = numext::ceil((m_input_cols_eff + op.padding_left() + op.padding_right() - m_patch_cols_eff + 1.f) / static_cast<float>(m_col_strides));
    243       m_planePaddingTop = op.padding_top_z();
    244       m_rowPaddingTop = op.padding_top();
    245       m_colPaddingLeft = op.padding_left();
    246     } else {
    247       // Computing padding from the type
    248       switch (op.padding_type()) {
    249         case PADDING_VALID:
    250           m_outputPlanes = numext::ceil((m_input_planes_eff - m_patch_planes_eff + 1.f) / static_cast<float>(m_plane_strides));
    251           m_outputRows = numext::ceil((m_input_rows_eff - m_patch_rows_eff + 1.f) / static_cast<float>(m_row_strides));
    252           m_outputCols = numext::ceil((m_input_cols_eff - m_patch_cols_eff + 1.f) / static_cast<float>(m_col_strides));
    253           m_planePaddingTop = 0;
    254           m_rowPaddingTop = 0;
    255           m_colPaddingLeft = 0;
    256           break;
    257         case PADDING_SAME: {
    258           m_outputPlanes = numext::ceil(m_input_planes_eff / static_cast<float>(m_plane_strides));
    259           m_outputRows = numext::ceil(m_input_rows_eff / static_cast<float>(m_row_strides));
    260           m_outputCols = numext::ceil(m_input_cols_eff / static_cast<float>(m_col_strides));
    261           const Index dz = (m_outputPlanes - 1) * m_plane_strides + m_patch_planes_eff - m_input_planes_eff;
    262           const Index dy = (m_outputRows - 1) * m_row_strides + m_patch_rows_eff - m_input_rows_eff;
    263           const Index dx = (m_outputCols - 1) * m_col_strides + m_patch_cols_eff - m_input_cols_eff;
    264           m_planePaddingTop = dz / 2;
    265           m_rowPaddingTop = dy / 2;
    266           m_colPaddingLeft = dx / 2;
    267           break;
    268         }
    269         default:
    270           eigen_assert(false && "unexpected padding");
    271       }
    272     }
    273     eigen_assert(m_outputRows > 0);
    274     eigen_assert(m_outputCols > 0);
    275     eigen_assert(m_outputPlanes > 0);
    276 
    277     // Dimensions for result of extraction.
    278     if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
    279       // ColMajor
    280       // 0: depth
    281       // 1: patch_planes
    282       // 2: patch_rows
    283       // 3: patch_cols
    284       // 4: number of patches
    285       // 5 and beyond: anything else (such as batch).
    286       m_dimensions[0] = input_dims[0];
    287       m_dimensions[1] = op.patch_planes();
    288       m_dimensions[2] = op.patch_rows();
    289       m_dimensions[3] = op.patch_cols();
    290       m_dimensions[4] = m_outputPlanes * m_outputRows * m_outputCols;
    291       for (int i = 5; i < NumDims; ++i) {
    292         m_dimensions[i] = input_dims[i-1];
    293       }
    294     } else {
    295       // RowMajor
    296       // NumDims-1: depth
    297       // NumDims-2: patch_planes
    298       // NumDims-3: patch_rows
    299       // NumDims-4: patch_cols
    300       // NumDims-5: number of patches
    301       // NumDims-6 and beyond: anything else (such as batch).
    302       m_dimensions[NumDims-1] = input_dims[NumInputDims-1];
    303       m_dimensions[NumDims-2] = op.patch_planes();
    304       m_dimensions[NumDims-3] = op.patch_rows();
    305       m_dimensions[NumDims-4] = op.patch_cols();
    306       m_dimensions[NumDims-5] = m_outputPlanes * m_outputRows * m_outputCols;
    307       for (int i = NumDims-6; i >= 0; --i) {
    308         m_dimensions[i] = input_dims[i];
    309       }
    310     }
    311 
    312     // Strides for the output tensor.
    313     if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
    314       m_rowStride = m_dimensions[1];
    315       m_colStride = m_dimensions[2] * m_rowStride;
    316       m_patchStride = m_colStride * m_dimensions[3] * m_dimensions[0];
    317       m_otherStride = m_patchStride * m_dimensions[4];
    318     } else {
    319       m_rowStride = m_dimensions[NumDims-2];
    320       m_colStride = m_dimensions[NumDims-3] * m_rowStride;
    321       m_patchStride = m_colStride * m_dimensions[NumDims-4] * m_dimensions[NumDims-1];
    322       m_otherStride = m_patchStride * m_dimensions[NumDims-5];
    323     }
    324 
    325     // Strides for navigating through the input tensor.
    326     m_planeInputStride = m_inputDepth;
    327     m_rowInputStride = m_inputDepth * m_inputPlanes;
    328     m_colInputStride = m_inputDepth * m_inputRows * m_inputPlanes;
    329     m_otherInputStride = m_inputDepth * m_inputRows * m_inputCols * m_inputPlanes;
    330 
    331     m_outputPlanesRows = m_outputPlanes * m_outputRows;
    332 
    333     // Fast representations of different variables.
    334     m_fastOtherStride = internal::TensorIntDivisor<Index>(m_otherStride);
    335 
    336     m_fastPatchStride = internal::TensorIntDivisor<Index>(m_patchStride);
    337     m_fastColStride = internal::TensorIntDivisor<Index>(m_colStride);
    338     m_fastRowStride = internal::TensorIntDivisor<Index>(m_rowStride);
    339     m_fastInputRowStride = internal::TensorIntDivisor<Index>(m_row_inflate_strides);
    340     m_fastInputColStride = internal::TensorIntDivisor<Index>(m_col_inflate_strides);
    341     m_fastInputPlaneStride = internal::TensorIntDivisor<Index>(m_plane_inflate_strides);
    342     m_fastInputColsEff = internal::TensorIntDivisor<Index>(m_input_cols_eff);
    343     m_fastOutputPlanes = internal::TensorIntDivisor<Index>(m_outputPlanes);
    344     m_fastOutputPlanesRows = internal::TensorIntDivisor<Index>(m_outputPlanesRows);
    345 
    346     if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
    347       m_fastOutputDepth = internal::TensorIntDivisor<Index>(m_dimensions[0]);
    348     } else {
    349       m_fastOutputDepth = internal::TensorIntDivisor<Index>(m_dimensions[NumDims-1]);
    350     }
    351   }
    352 
    353   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Dimensions& dimensions() const { return m_dimensions; }
    354 
    355   EIGEN_STRONG_INLINE bool evalSubExprsIfNeeded(EvaluatorPointerType /*data*/) {
    356     m_impl.evalSubExprsIfNeeded(NULL);
    357     return true;
    358   }
    359 
    360   EIGEN_STRONG_INLINE void cleanup() {
    361     m_impl.cleanup();
    362   }
    363 
    364   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType coeff(Index index) const
    365   {
    366     // Patch index corresponding to the passed in index.
    367     const Index patchIndex = index / m_fastPatchStride;
    368 
    369     // Spatial offset within the patch. This has to be translated into 3D
    370     // coordinates within the patch.
    371     const Index patchOffset = (index - patchIndex * m_patchStride) / m_fastOutputDepth;
    372 
    373     // Batch, etc.
    374     const Index otherIndex = (NumDims == 5) ? 0 : index / m_fastOtherStride;
    375     const Index patch3DIndex = (NumDims == 5) ? patchIndex : (index - otherIndex * m_otherStride) / m_fastPatchStride;
    376 
    377     // Calculate column index in the input original tensor.
    378     const Index colIndex = patch3DIndex / m_fastOutputPlanesRows;
    379     const Index colOffset = patchOffset / m_fastColStride;
    380     const Index inputCol = colIndex * m_col_strides + colOffset * m_in_col_strides - m_colPaddingLeft;
    381     const Index origInputCol = (m_col_inflate_strides == 1) ? inputCol : ((inputCol >= 0) ? (inputCol / m_fastInputColStride) : 0);
    382     if (inputCol < 0 || inputCol >= m_input_cols_eff ||
    383         ((m_col_inflate_strides != 1) && (inputCol != origInputCol * m_col_inflate_strides))) {
    384       return Scalar(m_paddingValue);
    385     }
    386 
    387     // Calculate row index in the original input tensor.
    388     const Index rowIndex = (patch3DIndex - colIndex * m_outputPlanesRows) / m_fastOutputPlanes;
    389     const Index rowOffset = (patchOffset - colOffset * m_colStride) / m_fastRowStride;
    390     const Index inputRow = rowIndex * m_row_strides + rowOffset * m_in_row_strides - m_rowPaddingTop;
    391     const Index origInputRow = (m_row_inflate_strides == 1) ? inputRow : ((inputRow >= 0) ? (inputRow / m_fastInputRowStride) : 0);
    392     if (inputRow < 0 || inputRow >= m_input_rows_eff ||
    393         ((m_row_inflate_strides != 1) && (inputRow != origInputRow * m_row_inflate_strides))) {
    394       return Scalar(m_paddingValue);
    395     }
    396 
    397     // Calculate plane index in the original input tensor.
    398     const Index planeIndex = (patch3DIndex - m_outputPlanes * (colIndex * m_outputRows + rowIndex));
    399     const Index planeOffset = patchOffset - colOffset * m_colStride - rowOffset * m_rowStride;
    400     const Index inputPlane = planeIndex * m_plane_strides + planeOffset * m_in_plane_strides - m_planePaddingTop;
    401     const Index origInputPlane = (m_plane_inflate_strides == 1) ? inputPlane : ((inputPlane >= 0) ? (inputPlane / m_fastInputPlaneStride) : 0);
    402     if (inputPlane < 0 || inputPlane >= m_input_planes_eff ||
    403         ((m_plane_inflate_strides != 1) && (inputPlane != origInputPlane * m_plane_inflate_strides))) {
    404       return Scalar(m_paddingValue);
    405     }
    406 
    407     const int depth_index = static_cast<int>(Layout) == static_cast<int>(ColMajor) ? 0 : NumDims - 1;
    408     const Index depth = index - (index / m_fastOutputDepth) * m_dimensions[depth_index];
    409 
    410     const Index inputIndex = depth +
    411         origInputRow * m_rowInputStride +
    412         origInputCol * m_colInputStride +
    413         origInputPlane * m_planeInputStride +
    414         otherIndex * m_otherInputStride;
    415 
    416     return m_impl.coeff(inputIndex);
    417   }
    418 
    419   template<int LoadMode>
    420   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const
    421   {
    422     EIGEN_STATIC_ASSERT((PacketSize > 1), YOU_MADE_A_PROGRAMMING_MISTAKE)
    423     eigen_assert(index+PacketSize-1 < dimensions().TotalSize());
    424 
    425     if (m_in_row_strides != 1 || m_in_col_strides != 1 || m_row_inflate_strides != 1 || m_col_inflate_strides != 1 ||
    426         m_in_plane_strides != 1 || m_plane_inflate_strides != 1) {
    427       return packetWithPossibleZero(index);
    428     }
    429 
    430     const Index indices[2] = {index, index + PacketSize - 1};
    431     const Index patchIndex = indices[0] / m_fastPatchStride;
    432     if (patchIndex != indices[1] / m_fastPatchStride) {
    433       return packetWithPossibleZero(index);
    434     }
    435     const Index otherIndex = (NumDims == 5) ? 0 : indices[0] / m_fastOtherStride;
    436     eigen_assert(otherIndex == indices[1] / m_fastOtherStride);
    437 
    438     // Find the offset of the element wrt the location of the first element.
    439     const Index patchOffsets[2] = {(indices[0] - patchIndex * m_patchStride) / m_fastOutputDepth,
    440                                    (indices[1] - patchIndex * m_patchStride) / m_fastOutputDepth};
    441 
    442     const Index patch3DIndex = (NumDims == 5) ? patchIndex : (indices[0] - otherIndex * m_otherStride) / m_fastPatchStride;
    443     eigen_assert(patch3DIndex == (indices[1] - otherIndex * m_otherStride) / m_fastPatchStride);
    444 
    445     const Index colIndex = patch3DIndex / m_fastOutputPlanesRows;
    446     const Index colOffsets[2] = {
    447       patchOffsets[0] / m_fastColStride,
    448       patchOffsets[1] / m_fastColStride};
    449 
    450     // Calculate col indices in the original input tensor.
    451     const Index inputCols[2] = {
    452       colIndex * m_col_strides + colOffsets[0] - m_colPaddingLeft,
    453       colIndex * m_col_strides + colOffsets[1] - m_colPaddingLeft};
    454     if (inputCols[1] < 0 || inputCols[0] >= m_inputCols) {
    455       return internal::pset1<PacketReturnType>(Scalar(m_paddingValue));
    456     }
    457 
    458     if (inputCols[0] != inputCols[1]) {
    459       return packetWithPossibleZero(index);
    460     }
    461 
    462     const Index rowIndex = (patch3DIndex - colIndex * m_outputPlanesRows) / m_fastOutputPlanes;
    463     const Index rowOffsets[2] = {
    464       (patchOffsets[0] - colOffsets[0] * m_colStride) / m_fastRowStride,
    465       (patchOffsets[1] - colOffsets[1] * m_colStride) / m_fastRowStride};
    466     eigen_assert(rowOffsets[0] <= rowOffsets[1]);
    467     // Calculate col indices in the original input tensor.
    468     const Index inputRows[2] = {
    469       rowIndex * m_row_strides + rowOffsets[0] - m_rowPaddingTop,
    470       rowIndex * m_row_strides + rowOffsets[1] - m_rowPaddingTop};
    471 
    472     if (inputRows[1] < 0 || inputRows[0] >= m_inputRows) {
    473       return internal::pset1<PacketReturnType>(Scalar(m_paddingValue));
    474     }
    475 
    476     if (inputRows[0] != inputRows[1]) {
    477       return packetWithPossibleZero(index);
    478     }
    479 
    480     const Index planeIndex = (patch3DIndex - m_outputPlanes * (colIndex * m_outputRows + rowIndex));
    481     const Index planeOffsets[2] = {
    482       patchOffsets[0] - colOffsets[0] * m_colStride - rowOffsets[0] * m_rowStride,
    483       patchOffsets[1] - colOffsets[1] * m_colStride - rowOffsets[1] * m_rowStride};
    484     eigen_assert(planeOffsets[0] <= planeOffsets[1]);
    485     const Index inputPlanes[2] = {
    486       planeIndex * m_plane_strides + planeOffsets[0] - m_planePaddingTop,
    487       planeIndex * m_plane_strides + planeOffsets[1] - m_planePaddingTop};
    488 
    489     if (inputPlanes[1] < 0 || inputPlanes[0] >= m_inputPlanes) {
    490       return internal::pset1<PacketReturnType>(Scalar(m_paddingValue));
    491     }
    492 
    493     if (inputPlanes[0] >= 0 && inputPlanes[1] < m_inputPlanes) {
    494       // no padding
    495       const int depth_index = static_cast<int>(Layout) == static_cast<int>(ColMajor) ? 0 : NumDims - 1;
    496       const Index depth = index - (index / m_fastOutputDepth) * m_dimensions[depth_index];
    497       const Index inputIndex = depth +
    498           inputRows[0] * m_rowInputStride +
    499           inputCols[0] * m_colInputStride +
    500           m_planeInputStride * inputPlanes[0] +
    501           otherIndex * m_otherInputStride;
    502       return m_impl.template packet<Unaligned>(inputIndex);
    503     }
    504 
    505     return packetWithPossibleZero(index);
    506   }
    507 
    508   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorOpCost
    509   costPerCoeff(bool vectorized) const {
    510     const double compute_cost =
    511         10 * TensorOpCost::DivCost<Index>() + 21 * TensorOpCost::MulCost<Index>() +
    512         8 * TensorOpCost::AddCost<Index>();
    513     return TensorOpCost(0, 0, compute_cost, vectorized, PacketSize);
    514   }
    515 
    516   EIGEN_DEVICE_FUNC EvaluatorPointerType data() const { return NULL; }
    517 
    518   const TensorEvaluator<ArgType, Device>& impl() const { return m_impl; }
    519 
    520 
    521   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index planePaddingTop() const { return m_planePaddingTop; }
    522   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index rowPaddingTop() const { return m_rowPaddingTop; }
    523   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index colPaddingLeft() const { return m_colPaddingLeft; }
    524   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index outputPlanes() const { return m_outputPlanes; }
    525   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index outputRows() const { return m_outputRows; }
    526   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index outputCols() const { return m_outputCols; }
    527   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index userPlaneStride() const { return m_plane_strides; }
    528   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index userRowStride() const { return m_row_strides; }
    529   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index userColStride() const { return m_col_strides; }
    530   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index userInPlaneStride() const { return m_in_plane_strides; }
    531   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index userInRowStride() const { return m_in_row_strides; }
    532   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index userInColStride() const { return m_in_col_strides; }
    533   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index planeInflateStride() const { return m_plane_inflate_strides; }
    534   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index rowInflateStride() const { return m_row_inflate_strides; }
    535   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index colInflateStride() const { return m_col_inflate_strides; }
    536 
    537 #ifdef EIGEN_USE_SYCL
    538   // binding placeholder accessors to a command group handler for SYCL
    539   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void bind(cl::sycl::handler &cgh) const {
    540     m_impl.bind(cgh);
    541   }
    542 #endif
    543  protected:
    544   EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE PacketReturnType packetWithPossibleZero(Index index) const
    545   {
    546     EIGEN_ALIGN_MAX typename internal::remove_const<CoeffReturnType>::type values[PacketSize];
    547     EIGEN_UNROLL_LOOP
    548     for (int i = 0; i < PacketSize; ++i) {
    549       values[i] = coeff(index+i);
    550     }
    551     PacketReturnType rslt = internal::pload<PacketReturnType>(values);
    552     return rslt;
    553   }
    554 
    555   Dimensions m_dimensions;
    556 
    557   // Parameters passed to the constructor.
    558   Index m_plane_strides;
    559   Index m_row_strides;
    560   Index m_col_strides;
    561 
    562   Index m_outputPlanes;
    563   Index m_outputRows;
    564   Index m_outputCols;
    565 
    566   Index m_planePaddingTop;
    567   Index m_rowPaddingTop;
    568   Index m_colPaddingLeft;
    569 
    570   Index m_in_plane_strides;
    571   Index m_in_row_strides;
    572   Index m_in_col_strides;
    573 
    574   Index m_plane_inflate_strides;
    575   Index m_row_inflate_strides;
    576   Index m_col_inflate_strides;
    577 
    578   // Cached input size.
    579   Index m_inputDepth;
    580   Index m_inputPlanes;
    581   Index m_inputRows;
    582   Index m_inputCols;
    583 
    584   // Other cached variables.
    585   Index m_outputPlanesRows;
    586 
    587   // Effective input/patch post-inflation size.
    588   Index m_input_planes_eff;
    589   Index m_input_rows_eff;
    590   Index m_input_cols_eff;
    591   Index m_patch_planes_eff;
    592   Index m_patch_rows_eff;
    593   Index m_patch_cols_eff;
    594 
    595   // Strides for the output tensor.
    596   Index m_otherStride;
    597   Index m_patchStride;
    598   Index m_rowStride;
    599   Index m_colStride;
    600 
    601   // Strides for the input tensor.
    602   Index m_planeInputStride;
    603   Index m_rowInputStride;
    604   Index m_colInputStride;
    605   Index m_otherInputStride;
    606 
    607   internal::TensorIntDivisor<Index> m_fastOtherStride;
    608   internal::TensorIntDivisor<Index> m_fastPatchStride;
    609   internal::TensorIntDivisor<Index> m_fastColStride;
    610   internal::TensorIntDivisor<Index> m_fastRowStride;
    611   internal::TensorIntDivisor<Index> m_fastInputPlaneStride;
    612   internal::TensorIntDivisor<Index> m_fastInputRowStride;
    613   internal::TensorIntDivisor<Index> m_fastInputColStride;
    614   internal::TensorIntDivisor<Index> m_fastInputColsEff;
    615   internal::TensorIntDivisor<Index> m_fastOutputPlanesRows;
    616   internal::TensorIntDivisor<Index> m_fastOutputPlanes;
    617   internal::TensorIntDivisor<Index> m_fastOutputDepth;
    618 
    619   Scalar m_paddingValue;
    620 
    621   TensorEvaluator<ArgType, Device> m_impl;
    622 
    623 
    624 };
    625 
    626 
    627 } // end namespace Eigen
    628 
    629 #endif // EIGEN_CXX11_TENSOR_TENSOR_VOLUME_PATCH_H