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/*! \file
    \brief Template for a multistage GEMM kernel. Does not compute batching or support split-K.

  
*/

#pragma once

#include "cutlass/blas3.h"
#include "cutlass/arch/arch.h"
#include "cutlass/gemm/threadblock/default_mma_core_sm80.h"
#include "cutlass/numeric_types.h"
#include "cutlass/transform/threadblock/predicated_tile_iterator_triangular_matrix.h"
#include "cutlass/gemm/threadblock/mma_blas3_multistage.h"

////////////////////////////////////////////////////////////////////////////////

namespace cutlass {
namespace gemm {
namespace threadblock {

////////////////////////////////////////////////////////////////////////////////

template <
    /// Element type for A matrix operand
    typename ElementA_,
    /// Layout type for A matrix operand
    typename LayoutA_,
    /// Element type for B matrix operand
    typename ElementB_,
    /// Layout type for B matrix operand
    typename LayoutB_,
    /// Side Mode for the kernel
    SideMode kSideMode,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Diag Type for the triangular matrix
    DiagType kDiagType,
    /// Element type for internal accumulation
    typename ElementAccumulator_,
    /// Layout type for C and D matrix operands
    typename LayoutC_,
    /// Operator class tag
    typename OperatorClass_,
    /// Tag indicating architecture to tune for
    typename ArchTag_,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape_,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape_,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape_,
    /// Number of stages used in the pipelined mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA = ComplexTransform::kNone,
    /// Complex transformation on operand B
    ComplexTransform TransformB = ComplexTransform::kNone,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator = arch::OpMultiplyAddComplex,
    /// Blas3 computation mode
    BlasMode BlasMode_ = BlasMode::kTriangular,
    /// Store the accumulators in row major or column major.  Row major is used
    /// when output layout is interleaved.
    bool AccumulatorsInRowMajor = false>
struct DefaultMultistageTrmmComplex;

////////////////////////////////////////////////////////////////////////////////

/// Specialization for row-major output
template <
    /// Element type for A matrix operand
    typename ElementA,
    /// Layout type for A matrix operand
    typename LayoutA,
    /// Element type for B matrix operand
    typename ElementB,
    /// Layout type for B matrix operand
    typename LayoutB,
    /// Side Mode for the kernel
    SideMode kSideMode,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Diag Type for the triangular matrix
    DiagType kDiagType,
    /// Element type for internal accumulation
    typename ElementAccumulator,
    /// Tag indicating architecture to tune for
    typename OperatorClass,
    /// Tag indicating architecture to tune for
    typename ArchTag,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape,
    /// Number of stages used in the multistage mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA,
    /// Complex transformation on operand B
    ComplexTransform TransformB,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator>
struct DefaultMultistageTrmmComplex<ElementA, LayoutA, ElementB, LayoutB,
                            kSideMode, kFillMode, kDiagType,
                            ElementAccumulator, layout::RowMajor, OperatorClass, ArchTag, ThreadblockShape, WarpShape,
                            InstructionShape, Stages, TransformA, TransformB, Operator> {
  // Define the MmaCore components
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMultistageMmaComplexCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, LayoutA, 
      ElementB, LayoutB, ElementAccumulator, layout::RowMajor, OperatorClass,
      Stages, TransformA, TransformB, Operator>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::Array<ElementA, ThreadMapA::kElementsPerAccess>;
  using IteratorA =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
          ElementA, LayoutA, 1, ThreadMapA, 
          kSideMode, kFillMode, kDiagType, 
          AccessTypeA>;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::Array<ElementB, ThreadMapB::kElementsPerAccess>;
  using IteratorB =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
          ElementB, LayoutB, 0, ThreadMapB, 
          kSideMode, FillMode::kFull, DiagType::kInvalid,
          AccessTypeB>;

  // Define the threadblock-scoped multistage matrix multiply
  using ThreadblockMma = cutlass::gemm::threadblock::MmaMultistage<
      typename MmaCore::Shape, IteratorA, typename MmaCore::SmemIteratorA,
      MmaCore::kCacheOpA, IteratorB, typename MmaCore::SmemIteratorB,
      MmaCore::kCacheOpB, ElementAccumulator, layout::RowMajor,
      typename MmaCore::MmaPolicy, Stages, SharedMemoryClearOption::kZfill>;
};

////////////////////////////////////////////////////////////////////////////////

/// Specialization for row-major output and right-side mode
template <
    /// Element type for A matrix operand
    typename ElementA,
    /// Layout type for A matrix operand
    typename LayoutA,
    /// Element type for B matrix operand
    typename ElementB,
    /// Layout type for B matrix operand
    typename LayoutB,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Diag Type for the triangular matrix
    DiagType kDiagType,
    /// Element type for internal accumulation
    typename ElementAccumulator,
    /// Tag indicating architecture to tune for
    typename OperatorClass,
    /// Tag indicating architecture to tune for
    typename ArchTag,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape,
    /// Number of stages used in the multistage mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA,
    /// Complex transformation on operand B
    ComplexTransform TransformB,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator>
struct DefaultMultistageTrmmComplex<ElementA, LayoutA, ElementB, LayoutB,
                            SideMode::kRight, kFillMode, kDiagType,
                            ElementAccumulator, layout::RowMajor, OperatorClass, ArchTag, ThreadblockShape, WarpShape,
                            InstructionShape, Stages, TransformA, TransformB, Operator> {
  // Define the MmaCore components
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMultistageMmaComplexCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, LayoutA, 
      ElementB, LayoutB, ElementAccumulator, layout::RowMajor, OperatorClass,
      Stages, TransformA, TransformB, Operator>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::Array<ElementA, ThreadMapA::kElementsPerAccess>;
  using IteratorA =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
          ElementA, LayoutA, 1, ThreadMapA, 
          SideMode::kRight, FillMode::kFull, DiagType::kInvalid, 
          AccessTypeA>;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::Array<ElementB, ThreadMapB::kElementsPerAccess>;
  using IteratorB =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
          ElementB, LayoutB, 0, ThreadMapB, 
          SideMode::kRight, kFillMode, kDiagType,
          AccessTypeB>;

  // Define the threadblock-scoped multistage matrix multiply
  using ThreadblockMma = cutlass::gemm::threadblock::MmaMultistage<
      typename MmaCore::Shape, IteratorA, typename MmaCore::SmemIteratorA,
      MmaCore::kCacheOpA, IteratorB, typename MmaCore::SmemIteratorB,
      MmaCore::kCacheOpB, ElementAccumulator, layout::RowMajor,
      typename MmaCore::MmaPolicy, Stages, SharedMemoryClearOption::kZfill>;
};

////////////////////////////////////////////////////////////////////////////////

/// Specialization for row-major output with unit diagonal
template <
    /// Element type for A matrix operand
    typename ElementA,
    /// Layout type for A matrix operand
    typename LayoutA,
    /// Element type for B matrix operand
    typename ElementB,
    /// Layout type for B matrix operand
    typename LayoutB,
    /// Side Mode for the kernel
    SideMode kSideMode,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Element type for internal accumulation
    typename ElementAccumulator,
    /// Tag indicating architecture to tune for
    typename OperatorClass,
    /// Tag indicating architecture to tune for
    typename ArchTag,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape,
    /// Number of stages used in the multistage mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA,
    /// Complex transformation on operand B
    ComplexTransform TransformB,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator>
struct DefaultMultistageTrmmComplex<ElementA, LayoutA, ElementB, LayoutB,
                            kSideMode, kFillMode, DiagType::kUnit,
                            ElementAccumulator, layout::RowMajor, OperatorClass, ArchTag, ThreadblockShape, WarpShape,
                            InstructionShape, Stages, TransformA, TransformB, Operator> {
  // Define the MmaCore components
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMultistageMmaComplexCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, LayoutA, 
      ElementB, LayoutB, ElementAccumulator, layout::RowMajor, OperatorClass,
      Stages, TransformA, TransformB, Operator>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::Array<ElementA, ThreadMapA::kElementsPerAccess>;
  using IteratorA =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
          ElementA, LayoutA, 1, ThreadMapA, 
          kSideMode, kFillMode, DiagType::kUnit, 
          AccessTypeA>;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::Array<ElementB, ThreadMapB::kElementsPerAccess>;
  using IteratorB =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
          ElementB, LayoutB, 0, ThreadMapB, 
          kSideMode, FillMode::kFull, DiagType::kInvalid,
          AccessTypeB>;

  // Define the threadblock-scoped multistage matrix multiply
  using ThreadblockMma = cutlass::gemm::threadblock::MmaBlas3Multistage<
      typename MmaCore::Shape, IteratorA, typename MmaCore::SmemIteratorA,
      MmaCore::kCacheOpA, IteratorB, typename MmaCore::SmemIteratorB,
      MmaCore::kCacheOpB, ElementAccumulator, layout::RowMajor,
      typename MmaCore::MmaPolicy, Stages, SharedMemoryClearOption::kZfill>;
};

////////////////////////////////////////////////////////////////////////////////

/// Specialization for row-major output and right-side mode, unit diagonal
template <
    /// Element type for A matrix operand
    typename ElementA,
    /// Layout type for A matrix operand
    typename LayoutA,
    /// Element type for B matrix operand
    typename ElementB,
    /// Layout type for B matrix operand
    typename LayoutB,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Element type for internal accumulation
    typename ElementAccumulator,
    /// Tag indicating architecture to tune for
    typename OperatorClass,
    /// Tag indicating architecture to tune for
    typename ArchTag,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape,
    /// Number of stages used in the multistage mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA,
    /// Complex transformation on operand B
    ComplexTransform TransformB,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator>
struct DefaultMultistageTrmmComplex<ElementA, LayoutA, ElementB, LayoutB,
                            SideMode::kRight, kFillMode, DiagType::kUnit,
                            ElementAccumulator, layout::RowMajor, OperatorClass, ArchTag, ThreadblockShape, WarpShape,
                            InstructionShape, Stages, TransformA, TransformB, Operator> {
  // Define the MmaCore components
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMultistageMmaComplexCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, LayoutA, 
      ElementB, LayoutB, ElementAccumulator, layout::RowMajor, OperatorClass,
      Stages, TransformA, TransformB, Operator>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::Array<ElementA, ThreadMapA::kElementsPerAccess>;
  using IteratorA =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
          ElementA, LayoutA, 1, ThreadMapA, 
          SideMode::kRight, FillMode::kFull, DiagType::kInvalid, 
          AccessTypeA>;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::Array<ElementB, ThreadMapB::kElementsPerAccess>;
  using IteratorB =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
          ElementB, LayoutB, 0, ThreadMapB, 
          SideMode::kRight, kFillMode, DiagType::kUnit,
          AccessTypeB>;

  // Define the threadblock-scoped multistage matrix multiply
  using ThreadblockMma = cutlass::gemm::threadblock::MmaBlas3Multistage<
      typename MmaCore::Shape, IteratorA, typename MmaCore::SmemIteratorA,
      MmaCore::kCacheOpA, IteratorB, typename MmaCore::SmemIteratorB,
      MmaCore::kCacheOpB, ElementAccumulator, layout::RowMajor,
      typename MmaCore::MmaPolicy, Stages, SharedMemoryClearOption::kZfill>;
};


////////////////////////////////////////////////////////////////////////////////

/// Specialization for row-major output (for TRMM where diagonal imag part is ignored - used by HEMM)
template <
    /// Element type for A matrix operand
    typename ElementA,
    /// Layout type for A matrix operand
    typename LayoutA,
    /// Element type for B matrix operand
    typename ElementB,
    /// Layout type for B matrix operand
    typename LayoutB,
    /// Side Mode for the kernel
    SideMode kSideMode,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Element type for internal accumulation
    typename ElementAccumulator,
    /// Tag indicating architecture to tune for
    typename OperatorClass,
    /// Tag indicating architecture to tune for
    typename ArchTag,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape,
    /// Number of stages used in the multistage mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA,
    /// Complex transformation on operand B
    ComplexTransform TransformB,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator>
struct DefaultMultistageTrmmComplex<ElementA, LayoutA, ElementB, LayoutB,
                            kSideMode, kFillMode, DiagType::kNonUnit,
                            ElementAccumulator, layout::RowMajor, OperatorClass, ArchTag, ThreadblockShape, WarpShape,
                            InstructionShape, Stages, TransformA, TransformB, Operator, BlasMode::kHermitian> {

  // Define the MmaCore components
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMultistageMmaComplexCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, LayoutA, 
      ElementB, LayoutB, ElementAccumulator, layout::RowMajor, OperatorClass,
      Stages, TransformA, TransformB, Operator>;

  // Define iterators over tiles from the A operand
  // PredicatedTileAccessIteratorTriangularMatrix only tracks diagonal elements,
  // when DiagType is kUnit
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::Array<ElementA, ThreadMapA::kElementsPerAccess>;
  using IteratorA =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
          ElementA, LayoutA, 1, ThreadMapA, 
          kSideMode, kFillMode, DiagType::kUnit, 
          AccessTypeA>;

  // Define iterators over tiles from the B operand
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::Array<ElementB, ThreadMapB::kElementsPerAccess>;
  using IteratorB =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
          ElementB, LayoutB, 0, ThreadMapB, 
          kSideMode, FillMode::kFull, DiagType::kInvalid,
          AccessTypeB>;

  // Define the threadblock-scoped multistage matrix multiply
  using ThreadblockMma = cutlass::gemm::threadblock::MmaBlas3Multistage<
      typename MmaCore::Shape, IteratorA, typename MmaCore::SmemIteratorA,
      MmaCore::kCacheOpA, IteratorB, typename MmaCore::SmemIteratorB,
      MmaCore::kCacheOpB, ElementAccumulator, layout::RowMajor,
      typename MmaCore::MmaPolicy, Stages, SharedMemoryClearOption::kZfill,
      BlasMode::kHermitian>;
};

////////////////////////////////////////////////////////////////////////////////

/// Specialization for row-major output and right-side mode (for TRMM where diagonal imag part is ignored - used by HEMM)
template <
    /// Element type for A matrix operand
    typename ElementA,
    /// Layout type for A matrix operand
    typename LayoutA,
    /// Element type for B matrix operand
    typename ElementB,
    /// Layout type for B matrix operand
    typename LayoutB,
    /// Fill Mode for the triangular matrix
    FillMode kFillMode,
    /// Element type for internal accumulation
    typename ElementAccumulator,
    /// Tag indicating architecture to tune for
    typename OperatorClass,
    /// Tag indicating architecture to tune for
    typename ArchTag,
    /// Threadblock-level tile size (concept: GemmShape)
    typename ThreadblockShape,
    /// Warp-level tile size (concept: GemmShape)
    typename WarpShape,
    /// Instruction-level tile size (concept: GemmShape)
    typename InstructionShape,
    /// Number of stages used in the multistage mainloop
    int Stages,
    /// Complex transformation on operand A
    ComplexTransform TransformA,
    /// Complex transformation on operand B
    ComplexTransform TransformB,
    /// Multiply-add operator (arch::OpMultiplyAddComplex, arch::OpMultiplyGaussianComplex)
    typename Operator>
struct DefaultMultistageTrmmComplex<ElementA, LayoutA, ElementB, LayoutB,
                            SideMode::kRight, kFillMode, DiagType::kNonUnit,
                            ElementAccumulator, layout::RowMajor, OperatorClass, ArchTag, ThreadblockShape, WarpShape,
                            InstructionShape, Stages, TransformA, TransformB, Operator, BlasMode::kHermitian> {

  // Define the MmaCore components
  using MmaCore = typename cutlass::gemm::threadblock::DefaultMultistageMmaComplexCore<
      ThreadblockShape, WarpShape, InstructionShape, ElementA, LayoutA, 
      ElementB, LayoutB, ElementAccumulator, layout::RowMajor, OperatorClass,
      Stages, TransformA, TransformB, Operator>;

  // Define iterators over tiles from the A operand
  using ThreadMapA = typename MmaCore::IteratorThreadMapA;
  using AccessTypeA = cutlass::Array<ElementA, ThreadMapA::kElementsPerAccess>;
  using IteratorA =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kM, ThreadblockShape::kK>,
          ElementA, LayoutA, 1, ThreadMapA, 
          SideMode::kRight, FillMode::kFull, DiagType::kInvalid, 
          AccessTypeA>;

  // Define iterators over tiles from the B operand
  // PredicatedTileAccessIteratorTriangularMatrix only tracks diagonal elements,
  // when DiagType is kUnit
  using ThreadMapB = typename MmaCore::IteratorThreadMapB;
  using AccessTypeB = cutlass::Array<ElementB, ThreadMapB::kElementsPerAccess>;
  using IteratorB =
      cutlass::transform::threadblock::PredicatedTileAccessIteratorTriangularMatrix<
          cutlass::MatrixShape<ThreadblockShape::kK, ThreadblockShape::kN>,
          ElementB, LayoutB, 0, ThreadMapB, 
          SideMode::kRight, kFillMode, DiagType::kUnit,
          AccessTypeB>;

  // Define the threadblock-scoped multistage matrix multiply
  using ThreadblockMma = cutlass::gemm::threadblock::MmaBlas3Multistage<
      typename MmaCore::Shape, IteratorA, typename MmaCore::SmemIteratorA,
      MmaCore::kCacheOpA, IteratorB, typename MmaCore::SmemIteratorB,
      MmaCore::kCacheOpB, ElementAccumulator, layout::RowMajor,
      typename MmaCore::MmaPolicy, Stages, SharedMemoryClearOption::kZfill,
      BlasMode::kHermitian>;
};

////////////////////////////////////////////////////////////////////////////////

}  // namespace threadblock
}  // namespace gemm
}  // namespace cutlass

////////////////////////////////////////////////////////////////////////////////
