Assign_MKL.h

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/*
 Copyright (c) 2011, Intel Corporation. All rights reserved.
 Copyright (C) 2015 Gael Guennebaud <gael.guennebaud@inria.fr>
 
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 are permitted provided that the following conditions are met:

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   list of conditions and the following disclaimer.
 * Redistributions in binary form must reproduce the above copyright notice,
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   and/or other materials provided with the distribution.
 * Neither the name of Intel Corporation nor the names of its contributors may
   be used to endorse or promote products derived from this software without
   specific prior written permission.

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 ********************************************************************************
 *   Content : Eigen bindings to Intel(R) MKL
 *   MKL VML support for coefficient-wise unary Eigen expressions like a=b.sin()
 ********************************************************************************
*/

#ifndef EIGEN_ASSIGN_VML_H
#define EIGEN_ASSIGN_VML_H

namespace Eigen { 

namespace internal {

template<typename Dst, typename Src>
class vml_assign_traits
{
  private:
    enum {
      DstHasDirectAccess = Dst::Flags & DirectAccessBit,
      SrcHasDirectAccess = Src::Flags & DirectAccessBit,
      StorageOrdersAgree = (int(Dst::IsRowMajor) == int(Src::IsRowMajor)),
      InnerSize = int(Dst::IsVectorAtCompileTime) ? int(Dst::SizeAtCompileTime)
                : int(Dst::Flags)&RowMajorBit ? int(Dst::ColsAtCompileTime)
                : int(Dst::RowsAtCompileTime),
      InnerMaxSize  = int(Dst::IsVectorAtCompileTime) ? int(Dst::MaxSizeAtCompileTime)
                    : int(Dst::Flags)&RowMajorBit ? int(Dst::MaxColsAtCompileTime)
                    : int(Dst::MaxRowsAtCompileTime),
      MaxSizeAtCompileTime = Dst::SizeAtCompileTime,

      MightEnableVml = StorageOrdersAgree && DstHasDirectAccess && SrcHasDirectAccess && Src::InnerStrideAtCompileTime==1 && Dst::InnerStrideAtCompileTime==1,
      MightLinearize = MightEnableVml && (int(Dst::Flags) & int(Src::Flags) & LinearAccessBit),
      VmlSize = MightLinearize ? MaxSizeAtCompileTime : InnerMaxSize,
      LargeEnough = VmlSize==Dynamic || VmlSize>=EIGEN_MKL_VML_THRESHOLD
    };
  public:
    enum {
      EnableVml = MightEnableVml && LargeEnough,
      Traversal = MightLinearize ? LinearTraversal : DefaultTraversal
    };
};

#define EIGEN_PP_EXPAND(ARG) ARG
#if !defined (EIGEN_FAST_MATH) || (EIGEN_FAST_MATH != 1)
#define EIGEN_VMLMODE_EXPAND_LA , VML_HA
#else
#define EIGEN_VMLMODE_EXPAND_LA , VML_LA
#endif

#define EIGEN_VMLMODE_EXPAND__ 

#define EIGEN_VMLMODE_PREFIX_LA vm
#define EIGEN_VMLMODE_PREFIX__  v
#define EIGEN_VMLMODE_PREFIX(VMLMODE) EIGEN_CAT(EIGEN_VMLMODE_PREFIX_,VMLMODE)

#define EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, VMLOP, EIGENTYPE, VMLTYPE, VMLMODE)                                           \
  template< typename DstXprType, typename SrcXprNested>                                                                         \
  struct Assignment<DstXprType, CwiseUnaryOp<scalar_##EIGENOP##_op<EIGENTYPE>, SrcXprNested>, assign_op<EIGENTYPE,EIGENTYPE>,   \
                   Dense2Dense, typename enable_if<vml_assign_traits<DstXprType,SrcXprNested>::EnableVml>::type> {              \
    typedef CwiseUnaryOp<scalar_##EIGENOP##_op<EIGENTYPE>, SrcXprNested> SrcXprType;                                            \
    static void run(DstXprType &dst, const SrcXprType &src, const assign_op<EIGENTYPE,EIGENTYPE> &func) {                       \
      resize_if_allowed(dst, src, func);                                                                                        \
      eigen_assert(dst.rows() == src.rows() && dst.cols() == src.cols());                                                       \
      if(vml_assign_traits<DstXprType,SrcXprNested>::Traversal==LinearTraversal) {                                              \
        VMLOP(dst.size(), (const VMLTYPE*)src.nestedExpression().data(),                                                        \
              (VMLTYPE*)dst.data() EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_##VMLMODE) );                                           \
      } else {                                                                                                                  \
        const Index outerSize = dst.outerSize();                                                                                \
        for(Index outer = 0; outer < outerSize; ++outer) {                                                                      \
          const EIGENTYPE *src_ptr = src.IsRowMajor ? &(src.nestedExpression().coeffRef(outer,0)) :                             \
                                                      &(src.nestedExpression().coeffRef(0, outer));                             \
          EIGENTYPE *dst_ptr = dst.IsRowMajor ? &(dst.coeffRef(outer,0)) : &(dst.coeffRef(0, outer));                           \
          VMLOP( dst.innerSize(), (const VMLTYPE*)src_ptr,                                                                      \
                (VMLTYPE*)dst_ptr EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_##VMLMODE));                                             \
        }                                                                                                                       \
      }                                                                                                                         \
    }                                                                                                                           \
  };                                                                                                                            \


#define EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(EIGENOP, VMLOP, VMLMODE)                                                         \
  EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),s##VMLOP), float, float, VMLMODE)           \
  EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),d##VMLOP), double, double, VMLMODE)

#define EIGEN_MKL_VML_DECLARE_UNARY_CALLS_CPLX(EIGENOP, VMLOP, VMLMODE)                                                         \
  EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),c##VMLOP), scomplex, MKL_Complex8, VMLMODE) \
  EIGEN_MKL_VML_DECLARE_UNARY_CALL(EIGENOP, EIGEN_CAT(EIGEN_VMLMODE_PREFIX(VMLMODE),z##VMLOP), dcomplex, MKL_Complex16, VMLMODE)
  
#define EIGEN_MKL_VML_DECLARE_UNARY_CALLS(EIGENOP, VMLOP, VMLMODE)                                                              \
  EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(EIGENOP, VMLOP, VMLMODE)                                                               \
  EIGEN_MKL_VML_DECLARE_UNARY_CALLS_CPLX(EIGENOP, VMLOP, VMLMODE)

  
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(sin,   Sin,   LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(asin,  Asin,  LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(sinh,  Sinh,  LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(cos,   Cos,   LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(acos,  Acos,  LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(cosh,  Cosh,  LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(tan,   Tan,   LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(atan,  Atan,  LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(tanh,  Tanh,  LA)
// EIGEN_MKL_VML_DECLARE_UNARY_CALLS(abs,   Abs,    _)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(exp,   Exp,   LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(log,   Ln,    LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(log10, Log10, LA)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS(sqrt,  Sqrt,  _)

EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(square, Sqr,   _)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_CPLX(arg, Arg,      _)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(round, Round,  _)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(floor, Floor,  _)
EIGEN_MKL_VML_DECLARE_UNARY_CALLS_REAL(ceil,  Ceil,   _)

#define EIGEN_MKL_VML_DECLARE_POW_CALL(EIGENOP, VMLOP, EIGENTYPE, VMLTYPE, VMLMODE)                                           \
  template< typename DstXprType, typename SrcXprNested, typename Plain>                                                       \
  struct Assignment<DstXprType, CwiseBinaryOp<scalar_##EIGENOP##_op<EIGENTYPE,EIGENTYPE>, SrcXprNested,                       \
                    const CwiseNullaryOp<internal::scalar_constant_op<EIGENTYPE>,Plain> >, assign_op<EIGENTYPE,EIGENTYPE>,    \
                   Dense2Dense, typename enable_if<vml_assign_traits<DstXprType,SrcXprNested>::EnableVml>::type> {            \
    typedef CwiseBinaryOp<scalar_##EIGENOP##_op<EIGENTYPE,EIGENTYPE>, SrcXprNested,                                           \
                    const CwiseNullaryOp<internal::scalar_constant_op<EIGENTYPE>,Plain> > SrcXprType;                         \
    static void run(DstXprType &dst, const SrcXprType &src, const assign_op<EIGENTYPE,EIGENTYPE> &func) {                     \
      resize_if_allowed(dst, src, func);                                                                                      \
      eigen_assert(dst.rows() == src.rows() && dst.cols() == src.cols());                                                     \
      VMLTYPE exponent = reinterpret_cast<const VMLTYPE&>(src.rhs().functor().m_other);                                       \
      if(vml_assign_traits<DstXprType,SrcXprNested>::Traversal==LinearTraversal)                                              \
      {                                                                                                                       \
        VMLOP( dst.size(), (const VMLTYPE*)src.lhs().data(), exponent,                                                        \
              (VMLTYPE*)dst.data() EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_##VMLMODE) );                                         \
      } else {                                                                                                                \
        const Index outerSize = dst.outerSize();                                                                              \
        for(Index outer = 0; outer < outerSize; ++outer) {                                                                    \
          const EIGENTYPE *src_ptr = src.IsRowMajor ? &(src.lhs().coeffRef(outer,0)) :                                        \
                                                      &(src.lhs().coeffRef(0, outer));                                        \
          EIGENTYPE *dst_ptr = dst.IsRowMajor ? &(dst.coeffRef(outer,0)) : &(dst.coeffRef(0, outer));                         \
          VMLOP( dst.innerSize(), (const VMLTYPE*)src_ptr, exponent,                                                          \
                 (VMLTYPE*)dst_ptr EIGEN_PP_EXPAND(EIGEN_VMLMODE_EXPAND_##VMLMODE));                                          \
        }                                                                                                                     \
      }                                                                                                                       \
    }                                                                                                                         \
  };
  
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmsPowx, float,    float,         LA)
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmdPowx, double,   double,        LA)
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmcPowx, scomplex, MKL_Complex8,  LA)
EIGEN_MKL_VML_DECLARE_POW_CALL(pow, vmzPowx, dcomplex, MKL_Complex16, LA)

} // end namespace internal

} // end namespace Eigen

#endif // EIGEN_ASSIGN_VML_H