Tensor Roll / Circular Shift / Rotate
diff --git a/unsupported/Eigen/CXX11/Tensor b/unsupported/Eigen/CXX11/Tensor
index 1b6cc7e..290a0c0 100644
--- a/unsupported/Eigen/CXX11/Tensor
+++ b/unsupported/Eigen/CXX11/Tensor
@@ -109,6 +109,7 @@
 #include "src/Tensor/TensorMorphing.h"
 #include "src/Tensor/TensorPadding.h"
 #include "src/Tensor/TensorReverse.h"
+#include "src/Tensor/TensorRoll.h"
 #include "src/Tensor/TensorShuffling.h"
 #include "src/Tensor/TensorStriding.h"
 #include "src/Tensor/TensorCustomOp.h"
diff --git a/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h b/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h
index 2c2c781..fc3f3b7 100644
--- a/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h
+++ b/unsupported/Eigen/CXX11/src/Tensor/TensorBase.h
@@ -946,6 +946,11 @@
     reverse(const ReverseDimensions& rev) const {
       return TensorReverseOp<const ReverseDimensions, const Derived>(derived(), rev);
     }
+    template <typename Rolls> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+    const TensorRollOp<const Rolls, const Derived>
+    roll(const Rolls& rolls) const {
+      return TensorRollOp<const Rolls, const Derived>(derived(), rolls);
+    }
     template <typename PaddingDimensions> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
     const TensorPaddingOp<const PaddingDimensions, const Derived>
     pad(const PaddingDimensions& padding) const {
@@ -1166,6 +1171,17 @@
       return TensorReverseOp<const ReverseDimensions, Derived>(derived(), rev);
     }
 
+    template <typename Rolls> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+    const TensorRollOp<const Rolls, const Derived>
+    roll(const Rolls& roll) const {
+      return TensorRollOp<const Rolls, const Derived>(derived(), roll);
+    }
+    template <typename Rolls> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+    TensorRollOp<const Rolls, Derived>
+    roll(const Rolls& roll) {
+      return TensorRollOp<const Rolls, Derived>(derived(), roll);
+    }
+
     template <typename Shuffle> EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
     const TensorShufflingOp<const Shuffle, const Derived>
     shuffle(const Shuffle& shfl) const {
diff --git a/unsupported/Eigen/CXX11/src/Tensor/TensorForwardDeclarations.h b/unsupported/Eigen/CXX11/src/Tensor/TensorForwardDeclarations.h
index 3bc3a5b..49c20a4 100644
--- a/unsupported/Eigen/CXX11/src/Tensor/TensorForwardDeclarations.h
+++ b/unsupported/Eigen/CXX11/src/Tensor/TensorForwardDeclarations.h
@@ -111,6 +111,8 @@
 class TensorSlicingOp;
 template <typename ReverseDimensions, typename XprType>
 class TensorReverseOp;
+template <typename Rolls, typename XprType>
+class TensorRollOp;
 template <typename PaddingDimensions, typename XprType>
 class TensorPaddingOp;
 template <typename Shuffle, typename XprType>
diff --git a/unsupported/Eigen/CXX11/src/Tensor/TensorRoll.h b/unsupported/Eigen/CXX11/src/Tensor/TensorRoll.h
new file mode 100644
index 0000000..d5b203a
--- /dev/null
+++ b/unsupported/Eigen/CXX11/src/Tensor/TensorRoll.h
@@ -0,0 +1,361 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2024 Tobias Wood tobias@spinicist.org.uk
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_CXX11_TENSOR_TENSOR_ROLL_H
+#define EIGEN_CXX11_TENSOR_TENSOR_ROLL_H
+// IWYU pragma: private
+#include "./InternalHeaderCheck.h"
+
+namespace Eigen {
+
+/** \class TensorRoll
+ * \ingroup CXX11_Tensor_Module
+ *
+ * \brief Tensor roll (circular shift) elements class.
+ *
+ */
+namespace internal {
+template <typename RollDimensions, typename XprType>
+struct traits<TensorRollOp<RollDimensions, XprType> > : public traits<XprType> {
+  typedef typename XprType::Scalar Scalar;
+  typedef traits<XprType> XprTraits;
+  typedef typename XprTraits::StorageKind StorageKind;
+  typedef typename XprTraits::Index Index;
+  typedef typename XprType::Nested Nested;
+  typedef std::remove_reference_t<Nested> Nested_;
+  static constexpr int NumDimensions = XprTraits::NumDimensions;
+  static constexpr int Layout = XprTraits::Layout;
+  typedef typename XprTraits::PointerType PointerType;
+};
+
+template <typename RollDimensions, typename XprType>
+struct eval<TensorRollOp<RollDimensions, XprType>, Eigen::Dense> {
+  typedef const TensorRollOp<RollDimensions, XprType>& type;
+};
+
+template <typename RollDimensions, typename XprType>
+struct nested<TensorRollOp<RollDimensions, XprType>, 1, typename eval<TensorRollOp<RollDimensions, XprType> >::type> {
+  typedef TensorRollOp<RollDimensions, XprType> type;
+};
+
+}  // end namespace internal
+
+template <typename RollDimensions, typename XprType>
+class TensorRollOp : public TensorBase<TensorRollOp<RollDimensions, XprType>, WriteAccessors> {
+ public:
+  typedef TensorBase<TensorRollOp<RollDimensions, XprType>, WriteAccessors> Base;
+  typedef typename Eigen::internal::traits<TensorRollOp>::Scalar Scalar;
+  typedef typename Eigen::NumTraits<Scalar>::Real RealScalar;
+  typedef typename XprType::CoeffReturnType CoeffReturnType;
+  typedef typename Eigen::internal::nested<TensorRollOp>::type Nested;
+  typedef typename Eigen::internal::traits<TensorRollOp>::StorageKind StorageKind;
+  typedef typename Eigen::internal::traits<TensorRollOp>::Index Index;
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorRollOp(const XprType& expr, const RollDimensions& roll_dims)
+      : m_xpr(expr), m_roll_dims(roll_dims) {}
+
+  EIGEN_DEVICE_FUNC const RollDimensions& roll() const { return m_roll_dims; }
+
+  EIGEN_DEVICE_FUNC const internal::remove_all_t<typename XprType::Nested>& expression() const { return m_xpr; }
+
+  EIGEN_TENSOR_INHERIT_ASSIGNMENT_OPERATORS(TensorRollOp)
+
+ protected:
+  typename XprType::Nested m_xpr;
+  const RollDimensions m_roll_dims;
+};
+
+// Eval as rvalue
+template <typename RollDimensions, typename ArgType, typename Device>
+struct TensorEvaluator<const TensorRollOp<RollDimensions, ArgType>, Device> {
+  typedef TensorRollOp<RollDimensions, ArgType> XprType;
+  typedef typename XprType::Index Index;
+  static constexpr int NumDims = internal::array_size<RollDimensions>::value;
+  typedef DSizes<Index, NumDims> Dimensions;
+  typedef typename XprType::Scalar Scalar;
+  typedef typename XprType::CoeffReturnType CoeffReturnType;
+  typedef typename PacketType<CoeffReturnType, Device>::type PacketReturnType;
+  static constexpr int PacketSize = PacketType<CoeffReturnType, Device>::size;
+  typedef StorageMemory<CoeffReturnType, Device> Storage;
+  typedef typename Storage::Type EvaluatorPointerType;
+
+  static constexpr int Layout = TensorEvaluator<ArgType, Device>::Layout;
+  enum {
+    IsAligned = false,
+    PacketAccess = TensorEvaluator<ArgType, Device>::PacketAccess,
+    BlockAccess = NumDims > 0,
+    PreferBlockAccess = true,
+    CoordAccess = false,  // to be implemented
+    RawAccess = false
+  };
+
+  typedef internal::TensorIntDivisor<Index> IndexDivisor;
+
+  //===- Tensor block evaluation strategy (see TensorBlock.h) -------------===//
+  using TensorBlockDesc = internal::TensorBlockDescriptor<NumDims, Index>;
+  using TensorBlockScratch = internal::TensorBlockScratchAllocator<Device>;
+  using ArgTensorBlock = typename TensorEvaluator<const ArgType, Device>::TensorBlock;
+  using TensorBlock = typename internal::TensorMaterializedBlock<CoeffReturnType, NumDims, Layout, Index>;
+  //===--------------------------------------------------------------------===//
+
+  EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device)
+      : m_impl(op.expression(), device), m_rolls(op.roll()), m_device(device) {
+    EIGEN_STATIC_ASSERT((NumDims > 0), Must_Have_At_Least_One_Dimension_To_Roll);
+
+    // Compute strides
+    m_dimensions = m_impl.dimensions();
+    if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+      m_strides[0] = 1;
+      for (int i = 1; i < NumDims; ++i) {
+        m_strides[i] = m_strides[i - 1] * m_dimensions[i - 1];
+        if (m_strides[i] > 0) m_fast_strides[i] = IndexDivisor(m_strides[i]);
+      }
+    } else {
+      m_strides[NumDims - 1] = 1;
+      for (int i = NumDims - 2; i >= 0; --i) {
+        m_strides[i] = m_strides[i + 1] * m_dimensions[i + 1];
+        if (m_strides[i] > 0) m_fast_strides[i] = IndexDivisor(m_strides[i]);
+      }
+    }
+  }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Dimensions& dimensions() const { return m_dimensions; }
+
+  EIGEN_STRONG_INLINE bool evalSubExprsIfNeeded(EvaluatorPointerType) {
+    m_impl.evalSubExprsIfNeeded(nullptr);
+    return true;
+  }
+
+#ifdef EIGEN_USE_THREADS
+  template <typename EvalSubExprsCallback>
+  EIGEN_STRONG_INLINE void evalSubExprsIfNeededAsync(EvaluatorPointerType, EvalSubExprsCallback done) {
+    m_impl.evalSubExprsIfNeededAsync(nullptr, [done](bool) { done(true); });
+  }
+#endif  // EIGEN_USE_THREADS
+
+  EIGEN_STRONG_INLINE void cleanup() { m_impl.cleanup(); }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index roll(Index const i, Index const r, Index const n) const {
+    auto const tmp = (i + r) % n;
+    if (tmp < 0) {
+      return tmp + n;
+    } else {
+      return tmp;
+    }
+  }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE array<Index, NumDims> rollCoords(array<Index, NumDims> const& coords) const {
+    array<Index, NumDims> rolledCoords;
+    for (int id = 0; id < NumDims; id++) {
+      eigen_assert(coords[id] < m_dimensions[id]);
+      rolledCoords[id] = roll(coords[id], m_rolls[id], m_dimensions[id]);
+    }
+    return rolledCoords;
+  }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Index rollIndex(Index index) const {
+    eigen_assert(index < dimensions().TotalSize());
+    Index rolledIndex = 0;
+    if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+      EIGEN_UNROLL_LOOP
+      for (int i = NumDims - 1; i > 0; --i) {
+        Index idx = index / m_fast_strides[i];
+        index -= idx * m_strides[i];
+        rolledIndex += roll(idx, m_rolls[i], m_dimensions[i]) * m_strides[i];
+      }
+      rolledIndex += roll(index, m_rolls[0], m_dimensions[0]);
+    } else {
+      EIGEN_UNROLL_LOOP
+      for (int i = 0; i < NumDims - 1; ++i) {
+        Index idx = index / m_fast_strides[i];
+        index -= idx * m_strides[i];
+        rolledIndex += roll(idx, m_rolls[i], m_dimensions[i]) * m_strides[i];
+      }
+      rolledIndex += roll(index, m_rolls[NumDims - 1], m_dimensions[NumDims - 1]);
+    }
+    return rolledIndex;
+  }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE CoeffReturnType coeff(Index index) const {
+    return m_impl.coeff(rollIndex(index));
+  }
+
+  template <int LoadMode>
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE PacketReturnType packet(Index index) const {
+    eigen_assert(index + PacketSize - 1 < dimensions().TotalSize());
+    EIGEN_ALIGN_MAX std::remove_const_t<CoeffReturnType> values[PacketSize];
+    EIGEN_UNROLL_LOOP
+    for (int i = 0; i < PacketSize; ++i) {
+      values[i] = coeff(index + i);
+    }
+    PacketReturnType rslt = internal::pload<PacketReturnType>(values);
+    return rslt;
+  }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE internal::TensorBlockResourceRequirements getResourceRequirements() const {
+    const size_t target_size = m_device.lastLevelCacheSize();
+    return internal::TensorBlockResourceRequirements::skewed<Scalar>(target_size).addCostPerCoeff({0, 0, 24});
+  }
+
+  struct BlockIteratorState {
+    Index stride;
+    Index span;
+    Index size;
+    Index count;
+  };
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorBlock block(TensorBlockDesc& desc, TensorBlockScratch& scratch,
+                                                          bool /*root_of_expr_ast*/ = false) const {
+    static const bool is_col_major = static_cast<int>(Layout) == static_cast<int>(ColMajor);
+
+    // Compute spatial coordinates for the first block element.
+    array<Index, NumDims> coords;
+    extract_coordinates(desc.offset(), coords);
+    array<Index, NumDims> initial_coords = coords;
+    Index offset = 0;  // Offset in the output block buffer.
+
+    // Initialize output block iterator state. Dimension in this array are
+    // always in inner_most -> outer_most order (col major layout).
+    array<BlockIteratorState, NumDims> it;
+    for (int i = 0; i < NumDims; ++i) {
+      const int dim = is_col_major ? i : NumDims - 1 - i;
+      it[i].size = desc.dimension(dim);
+      it[i].stride = i == 0 ? 1 : (it[i - 1].size * it[i - 1].stride);
+      it[i].span = it[i].stride * (it[i].size - 1);
+      it[i].count = 0;
+    }
+    eigen_assert(it[0].stride == 1);
+
+    // Prepare storage for the materialized generator result.
+    const typename TensorBlock::Storage block_storage = TensorBlock::prepareStorage(desc, scratch);
+    CoeffReturnType* block_buffer = block_storage.data();
+
+    static const int inner_dim = is_col_major ? 0 : NumDims - 1;
+    const Index inner_dim_size = it[0].size;
+
+    while (it[NumDims - 1].count < it[NumDims - 1].size) {
+      Index i = 0;
+      for (; i < inner_dim_size; ++i) {
+        auto const rolled = rollCoords(coords);
+        auto const index = is_col_major ? m_dimensions.IndexOfColMajor(rolled) : m_dimensions.IndexOfRowMajor(rolled);
+        *(block_buffer + offset + i) = m_impl.coeff(index);
+        coords[inner_dim]++;
+      }
+      coords[inner_dim] = initial_coords[inner_dim];
+
+      if (NumDims == 1) break;  // For the 1d tensor we need to generate only one inner-most dimension.
+
+      // Update offset.
+      for (i = 1; i < NumDims; ++i) {
+        if (++it[i].count < it[i].size) {
+          offset += it[i].stride;
+          coords[is_col_major ? i : NumDims - 1 - i]++;
+          break;
+        }
+        if (i != NumDims - 1) it[i].count = 0;
+        coords[is_col_major ? i : NumDims - 1 - i] = initial_coords[is_col_major ? i : NumDims - 1 - i];
+        offset -= it[i].span;
+      }
+    }
+
+    return block_storage.AsTensorMaterializedBlock();
+  }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE TensorOpCost costPerCoeff(bool vectorized) const {
+    double compute_cost = NumDims * (2 * TensorOpCost::AddCost<Index>() + 2 * TensorOpCost::MulCost<Index>() +
+                                     TensorOpCost::DivCost<Index>());
+    for (int i = 0; i < NumDims; ++i) {
+      compute_cost += 2 * TensorOpCost::AddCost<Index>();
+    }
+    return m_impl.costPerCoeff(vectorized) + TensorOpCost(0, 0, compute_cost, false /* vectorized */, PacketSize);
+  }
+
+  EIGEN_DEVICE_FUNC typename Storage::Type data() const { return nullptr; }
+
+ protected:
+  Dimensions m_dimensions;
+  array<Index, NumDims> m_strides;
+  array<IndexDivisor, NumDims> m_fast_strides;
+  TensorEvaluator<ArgType, Device> m_impl;
+  RollDimensions m_rolls;
+  const Device EIGEN_DEVICE_REF m_device;
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void extract_coordinates(Index index, array<Index, NumDims>& coords) const {
+    if (static_cast<int>(Layout) == static_cast<int>(ColMajor)) {
+      for (int i = NumDims - 1; i > 0; --i) {
+        const Index idx = index / m_fast_strides[i];
+        index -= idx * m_strides[i];
+        coords[i] = idx;
+      }
+      coords[0] = index;
+    } else {
+      for (int i = 0; i < NumDims - 1; ++i) {
+        const Index idx = index / m_fast_strides[i];
+        index -= idx * m_strides[i];
+        coords[i] = idx;
+      }
+      coords[NumDims - 1] = index;
+    }
+  }
+
+ private:
+};
+
+// Eval as lvalue
+
+template <typename RollDimensions, typename ArgType, typename Device>
+struct TensorEvaluator<TensorRollOp<RollDimensions, ArgType>, Device>
+    : public TensorEvaluator<const TensorRollOp<RollDimensions, ArgType>, Device> {
+  typedef TensorEvaluator<const TensorRollOp<RollDimensions, ArgType>, Device> Base;
+  typedef TensorRollOp<RollDimensions, ArgType> XprType;
+  typedef typename XprType::Index Index;
+  static constexpr int NumDims = internal::array_size<RollDimensions>::value;
+  typedef DSizes<Index, NumDims> Dimensions;
+
+  static constexpr int Layout = TensorEvaluator<ArgType, Device>::Layout;
+  enum {
+    IsAligned = false,
+    PacketAccess = TensorEvaluator<ArgType, Device>::PacketAccess,
+    BlockAccess = false,
+    PreferBlockAccess = false,
+    CoordAccess = false,
+    RawAccess = false
+  };
+  EIGEN_STRONG_INLINE TensorEvaluator(const XprType& op, const Device& device) : Base(op, device) {}
+
+  typedef typename XprType::Scalar Scalar;
+  typedef typename XprType::CoeffReturnType CoeffReturnType;
+  typedef typename PacketType<CoeffReturnType, Device>::type PacketReturnType;
+  static constexpr int PacketSize = PacketType<CoeffReturnType, Device>::size;
+
+  //===- Tensor block evaluation strategy (see TensorBlock.h) -------------===//
+  typedef internal::TensorBlockNotImplemented TensorBlock;
+  //===--------------------------------------------------------------------===//
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Dimensions& dimensions() const { return this->m_dimensions; }
+
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE Scalar& coeffRef(Index index) const {
+    return this->m_impl.coeffRef(this->rollIndex(index));
+  }
+
+  template <int StoreMode>
+  EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE void writePacket(Index index, const PacketReturnType& x) const {
+    eigen_assert(index + PacketSize - 1 < dimensions().TotalSize());
+    EIGEN_ALIGN_MAX CoeffReturnType values[PacketSize];
+    internal::pstore<CoeffReturnType, PacketReturnType>(values, x);
+    EIGEN_UNROLL_LOOP
+    for (int i = 0; i < PacketSize; ++i) {
+      this->coeffRef(index + i) = values[i];
+    }
+  }
+};
+
+}  // end namespace Eigen
+
+#endif  // EIGEN_CXX11_TENSOR_TENSOR_ROLL_H
diff --git a/unsupported/test/CMakeLists.txt b/unsupported/test/CMakeLists.txt
index 8af6130..c270458 100644
--- a/unsupported/test/CMakeLists.txt
+++ b/unsupported/test/CMakeLists.txt
@@ -198,8 +198,10 @@
 ei_add_test(cxx11_tensor_padding)
 ei_add_test(cxx11_tensor_patch)
 ei_add_test(cxx11_tensor_random)
+ei_add_test(cxx11_tensor_reverse)
 ei_add_test(cxx11_tensor_reduction)
 ei_add_test(cxx11_tensor_ref)
+ei_add_test(cxx11_tensor_roll)
 ei_add_test(cxx11_tensor_roundings)
 ei_add_test(cxx11_tensor_scan)
 ei_add_test(cxx11_tensor_shuffling)
diff --git a/unsupported/test/cxx11_tensor_roll.cpp b/unsupported/test/cxx11_tensor_roll.cpp
new file mode 100644
index 0000000..59f5efe
--- /dev/null
+++ b/unsupported/test/cxx11_tensor_roll.cpp
@@ -0,0 +1,156 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2024 Tobias Wood tobias@spinicist.org.uk
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#include "main.h"
+
+#include <Eigen/CXX11/Tensor>
+
+using Eigen::array;
+using Eigen::Tensor;
+
+template <int DataLayout>
+static void test_simple_roll() {
+  Tensor<float, 4, DataLayout> tensor(2, 3, 5, 7);
+  tensor.setRandom();
+
+  array<Index, 4> dim_roll;
+  dim_roll[0] = 0;
+  dim_roll[1] = 1;
+  dim_roll[2] = 4;
+  dim_roll[3] = 8;
+
+  Tensor<float, 4, DataLayout> rolled_tensor;
+  rolled_tensor = tensor.roll(dim_roll);
+
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(0), 2);
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(1), 3);
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(2), 5);
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(3), 7);
+
+  for (int i = 0; i < 2; ++i) {
+    for (int j = 0; j < 3; ++j) {
+      for (int k = 0; k < 5; ++k) {
+        for (int l = 0; l < 7; ++l) {
+          VERIFY_IS_EQUAL(tensor(i, (j + 1) % 3, (k + 4) % 5, (l + 8) % 7), rolled_tensor(i, j, k, l));
+        }
+      }
+    }
+  }
+
+  dim_roll[0] = -3;
+  dim_roll[1] = -2;
+  dim_roll[2] = -1;
+  dim_roll[3] = 0;
+
+  rolled_tensor = tensor.roll(dim_roll);
+
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(0), 2);
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(1), 3);
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(2), 5);
+  VERIFY_IS_EQUAL(rolled_tensor.dimension(3), 7);
+
+  for (int i = 0; i < 2; ++i) {
+    for (int j = 0; j < 3; ++j) {
+      for (int k = 0; k < 5; ++k) {
+        for (int l = 0; l < 7; ++l) {
+          VERIFY_IS_EQUAL(tensor((i + 1) % 2, (j + 1) % 3, (k + 4) % 5, l), rolled_tensor(i, j, k, l));
+        }
+      }
+    }
+  }
+}
+
+template <int DataLayout>
+static void test_expr_roll(bool LValue) {
+  Tensor<float, 4, DataLayout> tensor(2, 3, 5, 7);
+  tensor.setRandom();
+
+  array<bool, 4> dim_roll;
+  dim_roll[0] = 2;
+  dim_roll[1] = 1;
+  dim_roll[2] = 0;
+  dim_roll[3] = 3;
+
+  Tensor<float, 4, DataLayout> expected(tensor.dimensions());
+  if (LValue) {
+    expected.roll(dim_roll) = tensor;
+  } else {
+    expected = tensor.roll(dim_roll);
+  }
+
+  Tensor<float, 4, DataLayout> result(tensor.dimensions());
+
+  array<ptrdiff_t, 4> src_slice_dim;
+  src_slice_dim[0] = tensor.dimension(0);
+  src_slice_dim[1] = tensor.dimension(1);
+  src_slice_dim[2] = 1;
+  src_slice_dim[3] = tensor.dimension(3);
+  array<ptrdiff_t, 4> src_slice_start;
+  src_slice_start[0] = 0;
+  src_slice_start[1] = 0;
+  src_slice_start[2] = 0;
+  src_slice_start[3] = 0;
+  array<ptrdiff_t, 4> dst_slice_dim = src_slice_dim;
+  array<ptrdiff_t, 4> dst_slice_start = src_slice_start;
+
+  for (int i = 0; i < tensor.dimension(2); ++i) {
+    if (LValue) {
+      result.slice(dst_slice_start, dst_slice_dim).roll(dim_roll) = tensor.slice(src_slice_start, src_slice_dim);
+    } else {
+      result.slice(dst_slice_start, dst_slice_dim) = tensor.slice(src_slice_start, src_slice_dim).roll(dim_roll);
+    }
+    src_slice_start[2] += 1;
+    dst_slice_start[2] += 1;
+  }
+
+  VERIFY_IS_EQUAL(result.dimension(0), tensor.dimension(0));
+  VERIFY_IS_EQUAL(result.dimension(1), tensor.dimension(1));
+  VERIFY_IS_EQUAL(result.dimension(2), tensor.dimension(2));
+  VERIFY_IS_EQUAL(result.dimension(3), tensor.dimension(3));
+
+  for (int i = 0; i < expected.dimension(0); ++i) {
+    for (int j = 0; j < expected.dimension(1); ++j) {
+      for (int k = 0; k < expected.dimension(2); ++k) {
+        for (int l = 0; l < expected.dimension(3); ++l) {
+          VERIFY_IS_EQUAL(result(i, j, k, l), expected(i, j, k, l));
+        }
+      }
+    }
+  }
+
+  dst_slice_start[2] = 0;
+  result.setRandom();
+  for (int i = 0; i < tensor.dimension(2); ++i) {
+    if (LValue) {
+      result.slice(dst_slice_start, dst_slice_dim).roll(dim_roll) = tensor.slice(dst_slice_start, dst_slice_dim);
+    } else {
+      result.slice(dst_slice_start, dst_slice_dim) = tensor.roll(dim_roll).slice(dst_slice_start, dst_slice_dim);
+    }
+    dst_slice_start[2] += 1;
+  }
+
+  for (int i = 0; i < expected.dimension(0); ++i) {
+    for (int j = 0; j < expected.dimension(1); ++j) {
+      for (int k = 0; k < expected.dimension(2); ++k) {
+        for (int l = 0; l < expected.dimension(3); ++l) {
+          VERIFY_IS_EQUAL(result(i, j, k, l), expected(i, j, k, l));
+        }
+      }
+    }
+  }
+}
+
+EIGEN_DECLARE_TEST(cxx11_tensor_roll) {
+  CALL_SUBTEST(test_simple_roll<ColMajor>());
+  CALL_SUBTEST(test_simple_roll<RowMajor>());
+  CALL_SUBTEST(test_expr_roll<ColMajor>(true));
+  CALL_SUBTEST(test_expr_roll<RowMajor>(true));
+  CALL_SUBTEST(test_expr_roll<ColMajor>(false));
+  CALL_SUBTEST(test_expr_roll<RowMajor>(false));
+}