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-rw-r--r--Eigen/src/Core/Redux.h215
1 files changed, 156 insertions, 59 deletions
diff --git a/Eigen/src/Core/Redux.h b/Eigen/src/Core/Redux.h
index 50548fa9a..b6e8f8887 100644
--- a/Eigen/src/Core/Redux.h
+++ b/Eigen/src/Core/Redux.h
@@ -27,8 +27,9 @@ template<typename Func, typename Derived>
struct redux_traits
{
public:
+ typedef typename find_best_packet<typename Derived::Scalar,Derived::SizeAtCompileTime>::type PacketType;
enum {
- PacketSize = packet_traits<typename Derived::Scalar>::size,
+ PacketSize = unpacket_traits<PacketType>::size,
InnerMaxSize = int(Derived::IsRowMajor)
? Derived::MaxColsAtCompileTime
: Derived::MaxRowsAtCompileTime
@@ -37,8 +38,8 @@ public:
enum {
MightVectorize = (int(Derived::Flags)&ActualPacketAccessBit)
&& (functor_traits<Func>::PacketAccess),
- MayLinearVectorize = MightVectorize && (int(Derived::Flags)&LinearAccessBit),
- MaySliceVectorize = MightVectorize && int(InnerMaxSize)>=3*PacketSize
+ MayLinearVectorize = bool(MightVectorize) && (int(Derived::Flags)&LinearAccessBit),
+ MaySliceVectorize = bool(MightVectorize) && int(InnerMaxSize)>=3*PacketSize
};
public:
@@ -50,21 +51,34 @@ public:
public:
enum {
- Cost = ( Derived::SizeAtCompileTime == Dynamic
- || Derived::CoeffReadCost == Dynamic
- || (Derived::SizeAtCompileTime!=1 && functor_traits<Func>::Cost == Dynamic)
- ) ? Dynamic
- : Derived::SizeAtCompileTime * Derived::CoeffReadCost
- + (Derived::SizeAtCompileTime-1) * functor_traits<Func>::Cost,
+ Cost = Derived::SizeAtCompileTime == Dynamic ? HugeCost
+ : Derived::SizeAtCompileTime * Derived::CoeffReadCost + (Derived::SizeAtCompileTime-1) * functor_traits<Func>::Cost,
UnrollingLimit = EIGEN_UNROLLING_LIMIT * (int(Traversal) == int(DefaultTraversal) ? 1 : int(PacketSize))
};
public:
enum {
- Unrolling = Cost != Dynamic && Cost <= UnrollingLimit
- ? CompleteUnrolling
- : NoUnrolling
+ Unrolling = Cost <= UnrollingLimit ? CompleteUnrolling : NoUnrolling
};
+
+#ifdef EIGEN_DEBUG_ASSIGN
+ static void debug()
+ {
+ std::cerr << "Xpr: " << typeid(typename Derived::XprType).name() << std::endl;
+ std::cerr.setf(std::ios::hex, std::ios::basefield);
+ EIGEN_DEBUG_VAR(Derived::Flags)
+ std::cerr.unsetf(std::ios::hex);
+ EIGEN_DEBUG_VAR(InnerMaxSize)
+ EIGEN_DEBUG_VAR(PacketSize)
+ EIGEN_DEBUG_VAR(MightVectorize)
+ EIGEN_DEBUG_VAR(MayLinearVectorize)
+ EIGEN_DEBUG_VAR(MaySliceVectorize)
+ EIGEN_DEBUG_VAR(Traversal)
+ EIGEN_DEBUG_VAR(UnrollingLimit)
+ EIGEN_DEBUG_VAR(Unrolling)
+ std::cerr << std::endl;
+ }
+#endif
};
/***************************************************************************
@@ -82,6 +96,7 @@ struct redux_novec_unroller
typedef typename Derived::Scalar Scalar;
+ EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func& func)
{
return func(redux_novec_unroller<Func, Derived, Start, HalfLength>::run(mat,func),
@@ -99,6 +114,7 @@ struct redux_novec_unroller<Func, Derived, Start, 1>
typedef typename Derived::Scalar Scalar;
+ EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func&)
{
return mat.coeffByOuterInner(outer, inner);
@@ -112,6 +128,7 @@ template<typename Func, typename Derived, int Start>
struct redux_novec_unroller<Func, Derived, Start, 0>
{
typedef typename Derived::Scalar Scalar;
+ EIGEN_DEVICE_FUNC
static EIGEN_STRONG_INLINE Scalar run(const Derived&, const Func&) { return Scalar(); }
};
@@ -121,12 +138,12 @@ template<typename Func, typename Derived, int Start, int Length>
struct redux_vec_unroller
{
enum {
- PacketSize = packet_traits<typename Derived::Scalar>::size,
+ PacketSize = redux_traits<Func, Derived>::PacketSize,
HalfLength = Length/2
};
typedef typename Derived::Scalar Scalar;
- typedef typename packet_traits<Scalar>::type PacketScalar;
+ typedef typename redux_traits<Func, Derived>::PacketType PacketScalar;
static EIGEN_STRONG_INLINE PacketScalar run(const Derived &mat, const Func& func)
{
@@ -140,18 +157,18 @@ template<typename Func, typename Derived, int Start>
struct redux_vec_unroller<Func, Derived, Start, 1>
{
enum {
- index = Start * packet_traits<typename Derived::Scalar>::size,
+ index = Start * redux_traits<Func, Derived>::PacketSize,
outer = index / int(Derived::InnerSizeAtCompileTime),
inner = index % int(Derived::InnerSizeAtCompileTime),
- alignment = (Derived::Flags & AlignedBit) ? Aligned : Unaligned
+ alignment = Derived::Alignment
};
typedef typename Derived::Scalar Scalar;
- typedef typename packet_traits<Scalar>::type PacketScalar;
+ typedef typename redux_traits<Func, Derived>::PacketType PacketScalar;
static EIGEN_STRONG_INLINE PacketScalar run(const Derived &mat, const Func&)
{
- return mat.template packetByOuterInner<alignment>(outer, inner);
+ return mat.template packetByOuterInner<alignment,PacketScalar>(outer, inner);
}
};
@@ -169,8 +186,8 @@ template<typename Func, typename Derived>
struct redux_impl<Func, Derived, DefaultTraversal, NoUnrolling>
{
typedef typename Derived::Scalar Scalar;
- typedef typename Derived::Index Index;
- static EIGEN_STRONG_INLINE Scalar run(const Derived& mat, const Func& func)
+ EIGEN_DEVICE_FUNC
+ static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func& func)
{
eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
Scalar res;
@@ -193,19 +210,19 @@ template<typename Func, typename Derived>
struct redux_impl<Func, Derived, LinearVectorizedTraversal, NoUnrolling>
{
typedef typename Derived::Scalar Scalar;
- typedef typename packet_traits<Scalar>::type PacketScalar;
- typedef typename Derived::Index Index;
+ typedef typename redux_traits<Func, Derived>::PacketType PacketScalar;
- static Scalar run(const Derived& mat, const Func& func)
+ static Scalar run(const Derived &mat, const Func& func)
{
const Index size = mat.size();
- eigen_assert(size && "you are using an empty matrix");
- const Index packetSize = packet_traits<Scalar>::size;
- const Index alignedStart = internal::first_aligned(mat);
+
+ const Index packetSize = redux_traits<Func, Derived>::PacketSize;
+ const int packetAlignment = unpacket_traits<PacketScalar>::alignment;
enum {
- alignment = bool(Derived::Flags & DirectAccessBit) || bool(Derived::Flags & AlignedBit)
- ? Aligned : Unaligned
+ alignment0 = (bool(Derived::Flags & DirectAccessBit) && bool(packet_traits<Scalar>::AlignedOnScalar)) ? int(packetAlignment) : int(Unaligned),
+ alignment = EIGEN_PLAIN_ENUM_MAX(alignment0, Derived::Alignment)
};
+ const Index alignedStart = internal::first_default_aligned(mat.nestedExpression());
const Index alignedSize2 = ((size-alignedStart)/(2*packetSize))*(2*packetSize);
const Index alignedSize = ((size-alignedStart)/(packetSize))*(packetSize);
const Index alignedEnd2 = alignedStart + alignedSize2;
@@ -213,19 +230,19 @@ struct redux_impl<Func, Derived, LinearVectorizedTraversal, NoUnrolling>
Scalar res;
if(alignedSize)
{
- PacketScalar packet_res0 = mat.template packet<alignment>(alignedStart);
+ PacketScalar packet_res0 = mat.template packet<alignment,PacketScalar>(alignedStart);
if(alignedSize>packetSize) // we have at least two packets to partly unroll the loop
{
- PacketScalar packet_res1 = mat.template packet<alignment>(alignedStart+packetSize);
+ PacketScalar packet_res1 = mat.template packet<alignment,PacketScalar>(alignedStart+packetSize);
for(Index index = alignedStart + 2*packetSize; index < alignedEnd2; index += 2*packetSize)
{
- packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment>(index));
- packet_res1 = func.packetOp(packet_res1, mat.template packet<alignment>(index+packetSize));
+ packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment,PacketScalar>(index));
+ packet_res1 = func.packetOp(packet_res1, mat.template packet<alignment,PacketScalar>(index+packetSize));
}
packet_res0 = func.packetOp(packet_res0,packet_res1);
if(alignedEnd>alignedEnd2)
- packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment>(alignedEnd2));
+ packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment,PacketScalar>(alignedEnd2));
}
res = func.predux(packet_res0);
@@ -247,29 +264,29 @@ struct redux_impl<Func, Derived, LinearVectorizedTraversal, NoUnrolling>
}
};
-template<typename Func, typename Derived>
-struct redux_impl<Func, Derived, SliceVectorizedTraversal, NoUnrolling>
+// NOTE: for SliceVectorizedTraversal we simply bypass unrolling
+template<typename Func, typename Derived, int Unrolling>
+struct redux_impl<Func, Derived, SliceVectorizedTraversal, Unrolling>
{
typedef typename Derived::Scalar Scalar;
- typedef typename packet_traits<Scalar>::type PacketScalar;
- typedef typename Derived::Index Index;
+ typedef typename redux_traits<Func, Derived>::PacketType PacketType;
- static Scalar run(const Derived& mat, const Func& func)
+ EIGEN_DEVICE_FUNC static Scalar run(const Derived &mat, const Func& func)
{
eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
const Index innerSize = mat.innerSize();
const Index outerSize = mat.outerSize();
enum {
- packetSize = packet_traits<Scalar>::size
+ packetSize = redux_traits<Func, Derived>::PacketSize
};
const Index packetedInnerSize = ((innerSize)/packetSize)*packetSize;
Scalar res;
if(packetedInnerSize)
{
- PacketScalar packet_res = mat.template packet<Unaligned>(0,0);
+ PacketType packet_res = mat.template packet<Unaligned,PacketType>(0,0);
for(Index j=0; j<outerSize; ++j)
for(Index i=(j==0?packetSize:0); i<packetedInnerSize; i+=Index(packetSize))
- packet_res = func.packetOp(packet_res, mat.template packetByOuterInner<Unaligned>(j,i));
+ packet_res = func.packetOp(packet_res, mat.template packetByOuterInner<Unaligned,PacketType>(j,i));
res = func.predux(packet_res);
for(Index j=0; j<outerSize; ++j)
@@ -290,22 +307,90 @@ template<typename Func, typename Derived>
struct redux_impl<Func, Derived, LinearVectorizedTraversal, CompleteUnrolling>
{
typedef typename Derived::Scalar Scalar;
- typedef typename packet_traits<Scalar>::type PacketScalar;
+
+ typedef typename redux_traits<Func, Derived>::PacketType PacketScalar;
enum {
- PacketSize = packet_traits<Scalar>::size,
+ PacketSize = redux_traits<Func, Derived>::PacketSize,
Size = Derived::SizeAtCompileTime,
VectorizedSize = (Size / PacketSize) * PacketSize
};
- static EIGEN_STRONG_INLINE Scalar run(const Derived& mat, const Func& func)
+ EIGEN_DEVICE_FUNC static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func& func)
{
eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
- Scalar res = func.predux(redux_vec_unroller<Func, Derived, 0, Size / PacketSize>::run(mat,func));
- if (VectorizedSize != Size)
- res = func(res,redux_novec_unroller<Func, Derived, VectorizedSize, Size-VectorizedSize>::run(mat,func));
- return res;
+ if (VectorizedSize > 0) {
+ Scalar res = func.predux(redux_vec_unroller<Func, Derived, 0, Size / PacketSize>::run(mat,func));
+ if (VectorizedSize != Size)
+ res = func(res,redux_novec_unroller<Func, Derived, VectorizedSize, Size-VectorizedSize>::run(mat,func));
+ return res;
+ }
+ else {
+ return redux_novec_unroller<Func, Derived, 0, Size>::run(mat,func);
+ }
}
};
+// evaluator adaptor
+template<typename _XprType>
+class redux_evaluator
+{
+public:
+ typedef _XprType XprType;
+ EIGEN_DEVICE_FUNC explicit redux_evaluator(const XprType &xpr) : m_evaluator(xpr), m_xpr(xpr) {}
+
+ typedef typename XprType::Scalar Scalar;
+ typedef typename XprType::CoeffReturnType CoeffReturnType;
+ typedef typename XprType::PacketScalar PacketScalar;
+ typedef typename XprType::PacketReturnType PacketReturnType;
+
+ enum {
+ MaxRowsAtCompileTime = XprType::MaxRowsAtCompileTime,
+ MaxColsAtCompileTime = XprType::MaxColsAtCompileTime,
+ // TODO we should not remove DirectAccessBit and rather find an elegant way to query the alignment offset at runtime from the evaluator
+ Flags = evaluator<XprType>::Flags & ~DirectAccessBit,
+ IsRowMajor = XprType::IsRowMajor,
+ SizeAtCompileTime = XprType::SizeAtCompileTime,
+ InnerSizeAtCompileTime = XprType::InnerSizeAtCompileTime,
+ CoeffReadCost = evaluator<XprType>::CoeffReadCost,
+ Alignment = evaluator<XprType>::Alignment
+ };
+
+ EIGEN_DEVICE_FUNC Index rows() const { return m_xpr.rows(); }
+ EIGEN_DEVICE_FUNC Index cols() const { return m_xpr.cols(); }
+ EIGEN_DEVICE_FUNC Index size() const { return m_xpr.size(); }
+ EIGEN_DEVICE_FUNC Index innerSize() const { return m_xpr.innerSize(); }
+ EIGEN_DEVICE_FUNC Index outerSize() const { return m_xpr.outerSize(); }
+
+ EIGEN_DEVICE_FUNC
+ CoeffReturnType coeff(Index row, Index col) const
+ { return m_evaluator.coeff(row, col); }
+
+ EIGEN_DEVICE_FUNC
+ CoeffReturnType coeff(Index index) const
+ { return m_evaluator.coeff(index); }
+
+ template<int LoadMode, typename PacketType>
+ PacketType packet(Index row, Index col) const
+ { return m_evaluator.template packet<LoadMode,PacketType>(row, col); }
+
+ template<int LoadMode, typename PacketType>
+ PacketType packet(Index index) const
+ { return m_evaluator.template packet<LoadMode,PacketType>(index); }
+
+ EIGEN_DEVICE_FUNC
+ CoeffReturnType coeffByOuterInner(Index outer, Index inner) const
+ { return m_evaluator.coeff(IsRowMajor ? outer : inner, IsRowMajor ? inner : outer); }
+
+ template<int LoadMode, typename PacketType>
+ PacketType packetByOuterInner(Index outer, Index inner) const
+ { return m_evaluator.template packet<LoadMode,PacketType>(IsRowMajor ? outer : inner, IsRowMajor ? inner : outer); }
+
+ const XprType & nestedExpression() const { return m_xpr; }
+
+protected:
+ internal::evaluator<XprType> m_evaluator;
+ const XprType &m_xpr;
+};
+
} // end namespace internal
/***************************************************************************
@@ -316,18 +401,21 @@ struct redux_impl<Func, Derived, LinearVectorizedTraversal, CompleteUnrolling>
/** \returns the result of a full redux operation on the whole matrix or vector using \a func
*
* The template parameter \a BinaryOp is the type of the functor \a func which must be
- * an associative operator. Both current STL and TR1 functor styles are handled.
+ * an associative operator. Both current C++98 and C++11 functor styles are handled.
*
* \sa DenseBase::sum(), DenseBase::minCoeff(), DenseBase::maxCoeff(), MatrixBase::colwise(), MatrixBase::rowwise()
*/
template<typename Derived>
template<typename Func>
-EIGEN_STRONG_INLINE typename internal::result_of<Func(typename internal::traits<Derived>::Scalar)>::type
+typename internal::traits<Derived>::Scalar
DenseBase<Derived>::redux(const Func& func) const
{
- typedef typename internal::remove_all<typename Derived::Nested>::type ThisNested;
- return internal::redux_impl<Func, ThisNested>
- ::run(derived(), func);
+ eigen_assert(this->rows()>0 && this->cols()>0 && "you are using an empty matrix");
+
+ typedef typename internal::redux_evaluator<Derived> ThisEvaluator;
+ ThisEvaluator thisEval(derived());
+
+ return internal::redux_impl<Func, ThisEvaluator>::run(thisEval, func);
}
/** \returns the minimum of all coefficients of \c *this.
@@ -337,7 +425,7 @@ template<typename Derived>
EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
DenseBase<Derived>::minCoeff() const
{
- return this->redux(Eigen::internal::scalar_min_op<Scalar>());
+ return derived().redux(Eigen::internal::scalar_min_op<Scalar,Scalar>());
}
/** \returns the maximum of all coefficients of \c *this.
@@ -347,10 +435,12 @@ template<typename Derived>
EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
DenseBase<Derived>::maxCoeff() const
{
- return this->redux(Eigen::internal::scalar_max_op<Scalar>());
+ return derived().redux(Eigen::internal::scalar_max_op<Scalar,Scalar>());
}
-/** \returns the sum of all coefficients of *this
+/** \returns the sum of all coefficients of \c *this
+ *
+ * If \c *this is empty, then the value 0 is returned.
*
* \sa trace(), prod(), mean()
*/
@@ -360,7 +450,7 @@ DenseBase<Derived>::sum() const
{
if(SizeAtCompileTime==0 || (SizeAtCompileTime==Dynamic && size()==0))
return Scalar(0);
- return this->redux(Eigen::internal::scalar_sum_op<Scalar>());
+ return derived().redux(Eigen::internal::scalar_sum_op<Scalar,Scalar>());
}
/** \returns the mean of all coefficients of *this
@@ -371,7 +461,14 @@ template<typename Derived>
EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
DenseBase<Derived>::mean() const
{
- return Scalar(this->redux(Eigen::internal::scalar_sum_op<Scalar>())) / Scalar(this->size());
+#ifdef __INTEL_COMPILER
+ #pragma warning push
+ #pragma warning ( disable : 2259 )
+#endif
+ return Scalar(derived().redux(Eigen::internal::scalar_sum_op<Scalar,Scalar>())) / Scalar(this->size());
+#ifdef __INTEL_COMPILER
+ #pragma warning pop
+#endif
}
/** \returns the product of all coefficients of *this
@@ -387,7 +484,7 @@ DenseBase<Derived>::prod() const
{
if(SizeAtCompileTime==0 || (SizeAtCompileTime==Dynamic && size()==0))
return Scalar(1);
- return this->redux(Eigen::internal::scalar_product_op<Scalar>());
+ return derived().redux(Eigen::internal::scalar_product_op<Scalar>());
}
/** \returns the trace of \c *this, i.e. the sum of the coefficients on the main diagonal.