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-rw-r--r--Eigen/src/Core/functors/BinaryFunctors.h66
-rw-r--r--Eigen/src/Core/functors/NullaryFunctors.h63
-rw-r--r--Eigen/src/Core/functors/UnaryFunctors.h167
3 files changed, 265 insertions, 31 deletions
diff --git a/Eigen/src/Core/functors/BinaryFunctors.h b/Eigen/src/Core/functors/BinaryFunctors.h
index 4962d625c..e28fecfd0 100644
--- a/Eigen/src/Core/functors/BinaryFunctors.h
+++ b/Eigen/src/Core/functors/BinaryFunctors.h
@@ -238,7 +238,13 @@ template<typename Scalar> struct scalar_hypot_op {
};
template<typename Scalar>
struct functor_traits<scalar_hypot_op<Scalar> > {
- enum { Cost = 5 * NumTraits<Scalar>::MulCost, PacketAccess=0 };
+ enum
+ {
+ Cost = 3 * NumTraits<Scalar>::AddCost +
+ 2 * NumTraits<Scalar>::MulCost +
+ 2 * NumTraits<Scalar>::template Div<false>::Cost,
+ PacketAccess = false
+ };
};
/** \internal
@@ -297,9 +303,10 @@ template<typename LhsScalar,typename RhsScalar> struct scalar_quotient_op {
};
template<typename LhsScalar,typename RhsScalar>
struct functor_traits<scalar_quotient_op<LhsScalar,RhsScalar> > {
+ typedef typename scalar_quotient_op<LhsScalar,RhsScalar>::result_type result_type;
enum {
- Cost = (NumTraits<LhsScalar>::MulCost + NumTraits<RhsScalar>::MulCost), // rough estimate!
- PacketAccess = scalar_quotient_op<LhsScalar,RhsScalar>::Vectorizable
+ PacketAccess = scalar_quotient_op<LhsScalar,RhsScalar>::Vectorizable,
+ Cost = NumTraits<result_type>::template Div<PacketAccess>::Cost
};
};
@@ -337,6 +344,55 @@ template<> struct functor_traits<scalar_boolean_or_op> {
};
};
+/** \internal
+ * \brief Template functor to compute the incomplete gamma function igamma(a, x)
+ *
+ * \sa class CwiseBinaryOp, Cwise::igamma
+ */
+template<typename Scalar> struct scalar_igamma_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_igamma_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a, const Scalar& x) const {
+ using numext::igamma; return igamma(a, x);
+ }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a, const Packet& x) const {
+ return internal::pigammac(a, x);
+ }
+};
+template<typename Scalar>
+struct functor_traits<scalar_igamma_op<Scalar> > {
+ enum {
+ // Guesstimate
+ Cost = 20 * NumTraits<Scalar>::MulCost + 10 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasIGamma
+ };
+};
+
+
+/** \internal
+ * \brief Template functor to compute the complementary incomplete gamma function igammac(a, x)
+ *
+ * \sa class CwiseBinaryOp, Cwise::igammac
+ */
+template<typename Scalar> struct scalar_igammac_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_igammac_op)
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a, const Scalar& x) const {
+ using numext::igammac; return igammac(a, x);
+ }
+ template<typename Packet>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a, const Packet& x) const
+ {
+ return internal::pigammac(a, x);
+ }
+};
+template<typename Scalar>
+struct functor_traits<scalar_igammac_op<Scalar> > {
+ enum {
+ // Guesstimate
+ Cost = 20 * NumTraits<Scalar>::MulCost + 10 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasIGammac
+ };
+};
//---------- binary functors bound to a constant, thus appearing as a unary functor ----------
@@ -515,6 +571,10 @@ struct scalar_inverse_mult_op {
{ return internal::pdiv(pset1<Packet>(m_other),a); }
Scalar m_other;
};
+template<typename Scalar>
+struct functor_traits<scalar_inverse_mult_op<Scalar> >
+{ enum { PacketAccess = packet_traits<Scalar>::HasDiv, Cost = NumTraits<Scalar>::template Div<PacketAccess>::Cost }; };
+
} // end namespace internal
diff --git a/Eigen/src/Core/functors/NullaryFunctors.h b/Eigen/src/Core/functors/NullaryFunctors.h
index cd9fbf267..c5836d048 100644
--- a/Eigen/src/Core/functors/NullaryFunctors.h
+++ b/Eigen/src/Core/functors/NullaryFunctors.h
@@ -37,7 +37,7 @@ template<typename Scalar>
struct functor_traits<scalar_identity_op<Scalar> >
{ enum { Cost = NumTraits<Scalar>::AddCost, PacketAccess = false, IsRepeatable = true }; };
-template <typename Scalar, typename Packet, bool RandomAccess> struct linspaced_op_impl;
+template <typename Scalar, typename Packet, bool RandomAccess, bool IsInteger> struct linspaced_op_impl;
// linear access for packet ops:
// 1) initialization
@@ -48,12 +48,12 @@ template <typename Scalar, typename Packet, bool RandomAccess> struct linspaced_
// TODO: Perhaps it's better to initialize lazily (so not in the constructor but in packetOp)
// in order to avoid the padd() in operator() ?
template <typename Scalar, typename Packet>
-struct linspaced_op_impl<Scalar,Packet,false>
+struct linspaced_op_impl<Scalar,Packet,/*RandomAccess*/false,/*IsInteger*/false>
{
- linspaced_op_impl(const Scalar& low, const Scalar& step) :
- m_low(low), m_step(step),
- m_packetStep(pset1<Packet>(unpacket_traits<Packet>::size*step)),
- m_base(padd(pset1<Packet>(low), pmul(pset1<Packet>(step),plset<Packet>(-unpacket_traits<Packet>::size)))) {}
+ linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
+ m_low(low), m_step(num_steps==1 ? Scalar() : (high-low)/Scalar(num_steps-1)),
+ m_packetStep(pset1<Packet>(unpacket_traits<Packet>::size*m_step)),
+ m_base(padd(pset1<Packet>(low), pmul(pset1<Packet>(m_step),plset<Packet>(-unpacket_traits<Packet>::size)))) {}
template<typename Index>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (Index i) const
@@ -75,11 +75,11 @@ struct linspaced_op_impl<Scalar,Packet,false>
// 1) each step
// [low, ..., low] + ( [step, ..., step] * ( [i, ..., i] + [0, ..., size] ) )
template <typename Scalar, typename Packet>
-struct linspaced_op_impl<Scalar,Packet,true>
+struct linspaced_op_impl<Scalar,Packet,/*RandomAccess*/true,/*IsInteger*/false>
{
- linspaced_op_impl(const Scalar& low, const Scalar& step) :
- m_low(low), m_step(step),
- m_lowPacket(pset1<Packet>(m_low)), m_stepPacket(pset1<Packet>(m_step)), m_interPacket(plset<Packet>(0)) {}
+ linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
+ m_low(low), m_step(num_steps==1 ? Scalar() : (high-low)/Scalar(num_steps-1)),
+ m_lowPacket(pset1<Packet>(m_low)), m_stepPacket(pset1<Packet>(m_step)), m_interPacket(plset<Packet>(0)) {}
template<typename Index>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (Index i) const { return m_low+i*m_step; }
@@ -95,6 +95,31 @@ struct linspaced_op_impl<Scalar,Packet,true>
const Packet m_interPacket;
};
+template <typename Scalar, typename Packet>
+struct linspaced_op_impl<Scalar,Packet,/*RandomAccess*/true,/*IsInteger*/true>
+{
+ linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
+ m_low(low), m_length(high-low), m_divisor(num_steps==1?1:num_steps-1), m_interPacket(plset<Packet>(0))
+ {}
+
+ template<typename Index>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ const Scalar operator() (Index i) const {
+ return m_low + (m_length*Scalar(i))/m_divisor;
+ }
+
+ template<typename Index>
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
+ const Packet packetOp(Index i) const {
+ return internal::padd(pset1<Packet>(m_low), pdiv(pmul(pset1<Packet>(m_length), padd(pset1<Packet>(Scalar(i)),m_interPacket)),
+ pset1<Packet>(m_divisor))); }
+
+ const Scalar m_low;
+ const Scalar m_length;
+ const Index m_divisor;
+ const Packet m_interPacket;
+};
+
// ----- Linspace functor ----------------------------------------------------------------
// Forward declaration (we default to random access which does not really give
@@ -102,10 +127,20 @@ struct linspaced_op_impl<Scalar,Packet,true>
// nested expressions).
template <typename Scalar, typename PacketType, bool RandomAccess = true> struct linspaced_op;
template <typename Scalar, typename PacketType, bool RandomAccess> struct functor_traits< linspaced_op<Scalar,PacketType,RandomAccess> >
-{ enum { Cost = 1, PacketAccess = packet_traits<Scalar>::HasSetLinear, IsRepeatable = true }; };
+{
+ enum
+ {
+ Cost = 1,
+ PacketAccess = packet_traits<Scalar>::HasSetLinear
+ && ((!NumTraits<Scalar>::IsInteger) || packet_traits<Scalar>::HasDiv),
+ IsRepeatable = true
+ };
+};
template <typename Scalar, typename PacketType, bool RandomAccess> struct linspaced_op
{
- linspaced_op(const Scalar& low, const Scalar& high, Index num_steps) : impl((num_steps==1 ? high : low), (num_steps==1 ? Scalar() : (high-low)/Scalar(num_steps-1))) {}
+ linspaced_op(const Scalar& low, const Scalar& high, Index num_steps)
+ : impl((num_steps==1 ? high : low),high,num_steps)
+ {}
template<typename Index>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (Index i) const { return impl(i); }
@@ -134,7 +169,9 @@ template <typename Scalar, typename PacketType, bool RandomAccess> struct linspa
// This proxy object handles the actual required temporaries, the different
// implementations (random vs. sequential access) as well as the
// correct piping to size 2/4 packet operations.
- const linspaced_op_impl<Scalar,PacketType,RandomAccess> impl;
+ // As long as we don't have a Bresenham-like implementation for linear-access and integer types,
+ // we have to by-pass RandomAccess for integer types. See bug 698.
+ const linspaced_op_impl<Scalar,PacketType,(NumTraits<Scalar>::IsInteger?true:RandomAccess),NumTraits<Scalar>::IsInteger> impl;
};
// all functors allow linear access, except scalar_identity_op. So we fix here a quick meta
diff --git a/Eigen/src/Core/functors/UnaryFunctors.h b/Eigen/src/Core/functors/UnaryFunctors.h
index e630acc38..7ba0abedc 100644
--- a/Eigen/src/Core/functors/UnaryFunctors.h
+++ b/Eigen/src/Core/functors/UnaryFunctors.h
@@ -41,7 +41,7 @@ struct functor_traits<scalar_opposite_op<Scalar> >
template<typename Scalar> struct scalar_abs_op {
EIGEN_EMPTY_STRUCT_CTOR(scalar_abs_op)
typedef typename NumTraits<Scalar>::Real result_type;
- EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a) const { using std::abs; return abs(a); }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a) const { return numext::abs(a); }
template<typename Packet>
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Packet packetOp(const Packet& a) const
{ return internal::pabs(a); }
@@ -73,7 +73,7 @@ template<typename Scalar, typename=void> struct abs_knowing_score
EIGEN_EMPTY_STRUCT_CTOR(abs_knowing_score)
typedef typename NumTraits<Scalar>::Real result_type;
template<typename Score>
- EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a, const Score&) const { using std::abs; return abs(a); }
+ EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const result_type operator() (const Scalar& a, const Score&) const { return numext::abs(a); }
};
template<typename Scalar> struct abs_knowing_score<Scalar, typename scalar_score_coeff_op<Scalar>::Score_is_abs>
{
@@ -230,7 +230,7 @@ struct functor_traits<scalar_imag_ref_op<Scalar> >
*/
template<typename Scalar> struct scalar_exp_op {
EIGEN_EMPTY_STRUCT_CTOR(scalar_exp_op)
- EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { using std::exp; return exp(a); }
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::exp(a); }
template <typename Packet>
EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pexp(a); }
};
@@ -246,7 +246,7 @@ struct functor_traits<scalar_exp_op<Scalar> >
*/
template<typename Scalar> struct scalar_log_op {
EIGEN_EMPTY_STRUCT_CTOR(scalar_log_op)
- EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { using std::log; return log(a); }
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::log(a); }
template <typename Packet>
EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::plog(a); }
};
@@ -276,7 +276,7 @@ struct functor_traits<scalar_log10_op<Scalar> >
*/
template<typename Scalar> struct scalar_sqrt_op {
EIGEN_EMPTY_STRUCT_CTOR(scalar_sqrt_op)
- EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { using std::sqrt; return sqrt(a); }
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return numext::sqrt(a); }
template <typename Packet>
EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psqrt(a); }
};
@@ -294,7 +294,7 @@ struct functor_traits<scalar_sqrt_op<Scalar> >
*/
template<typename Scalar> struct scalar_rsqrt_op {
EIGEN_EMPTY_STRUCT_CTOR(scalar_rsqrt_op)
- EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { using std::sqrt; return Scalar(1)/sqrt(a); }
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const { return Scalar(1)/numext::sqrt(a); }
template <typename Packet>
EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::prsqrt(a); }
};
@@ -403,6 +403,143 @@ struct functor_traits<scalar_asin_op<Scalar> >
};
};
+
+/** \internal
+ * \brief Template functor to compute the natural log of the absolute
+ * value of Gamma of a scalar
+ * \sa class CwiseUnaryOp, Cwise::lgamma()
+ */
+template<typename Scalar> struct scalar_lgamma_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_lgamma_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const {
+ using numext::lgamma; return lgamma(a);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::plgamma(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_lgamma_op<Scalar> >
+{
+ enum {
+ // Guesstimate
+ Cost = 10 * NumTraits<Scalar>::MulCost + 5 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasLGamma
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute psi, the derivative of lgamma of a scalar.
+ * \sa class CwiseUnaryOp, Cwise::digamma()
+ */
+template<typename Scalar> struct scalar_digamma_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_digamma_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const {
+ using numext::digamma; return digamma(a);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pdigamma(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_digamma_op<Scalar> >
+{
+ enum {
+ // Guesstimate
+ Cost = 10 * NumTraits<Scalar>::MulCost + 5 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasDiGamma
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Riemann Zeta function of two arguments.
+ * \sa class CwiseUnaryOp, Cwise::zeta()
+ */
+template<typename Scalar> struct scalar_zeta_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_zeta_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& x, const Scalar& q) const {
+ using numext::zeta; return zeta(x, q);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& x, const Packet& q) const { return internal::pzeta(x, q); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_zeta_op<Scalar> >
+{
+ enum {
+ // Guesstimate
+ Cost = 10 * NumTraits<Scalar>::MulCost + 5 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasZeta
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the polygamma function.
+ * \sa class CwiseUnaryOp, Cwise::polygamma()
+ */
+template<typename Scalar> struct scalar_polygamma_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_polygamma_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& n, const Scalar& x) const {
+ using numext::polygamma; return polygamma(n, x);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& n, const Packet& x) const { return internal::ppolygamma(n, x); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_polygamma_op<Scalar> >
+{
+ enum {
+ // Guesstimate
+ Cost = 10 * NumTraits<Scalar>::MulCost + 5 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasPolygamma
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Gauss error function of a
+ * scalar
+ * \sa class CwiseUnaryOp, Cwise::erf()
+ */
+template<typename Scalar> struct scalar_erf_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_erf_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const {
+ using numext::erf; return erf(a);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::perf(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_erf_op<Scalar> >
+{
+ enum {
+ // Guesstimate
+ Cost = 10 * NumTraits<Scalar>::MulCost + 5 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasErf
+ };
+};
+
+/** \internal
+ * \brief Template functor to compute the Complementary Error Function
+ * of a scalar
+ * \sa class CwiseUnaryOp, Cwise::erfc()
+ */
+template<typename Scalar> struct scalar_erfc_op {
+ EIGEN_EMPTY_STRUCT_CTOR(scalar_erfc_op)
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const {
+ using numext::erfc; return erfc(a);
+ }
+ typedef typename packet_traits<Scalar>::type Packet;
+ EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::perfc(a); }
+};
+template<typename Scalar>
+struct functor_traits<scalar_erfc_op<Scalar> >
+{
+ enum {
+ // Guesstimate
+ Cost = 10 * NumTraits<Scalar>::MulCost + 5 * NumTraits<Scalar>::AddCost,
+ PacketAccess = packet_traits<Scalar>::HasErfc
+ };
+};
+
+
/** \internal
* \brief Template functor to compute the atan of a scalar
* \sa class CwiseUnaryOp, ArrayBase::atan()
@@ -422,6 +559,7 @@ struct functor_traits<scalar_atan_op<Scalar> >
};
};
+
/** \internal
* \brief Template functor to compute the tanh of a scalar
* \sa class CwiseUnaryOp, ArrayBase::tanh()
@@ -572,7 +710,7 @@ struct functor_traits<scalar_floor_op<Scalar> >
template<typename Scalar> struct scalar_ceil_op {
EIGEN_EMPTY_STRUCT_CTOR(scalar_ceil_op)
EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (const Scalar& a) const { return numext::ceil(a); }
- typedef typename packet_traits<Scalar>::type Packet;
+ template <typename Packet>
EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::pceil(a); }
};
template<typename Scalar>
@@ -660,10 +798,10 @@ struct functor_traits<scalar_boolean_not_op<Scalar> > {
* \sa class CwiseUnaryOp, Cwise::sign()
*/
template<typename Scalar,bool iscpx=(NumTraits<Scalar>::IsComplex!=0) > struct scalar_sign_op;
-template<typename Scalar>
+template<typename Scalar>
struct scalar_sign_op<Scalar,false> {
EIGEN_EMPTY_STRUCT_CTOR(scalar_sign_op)
- EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const
{
return Scalar( (a>Scalar(0)) - (a<Scalar(0)) );
}
@@ -671,17 +809,16 @@ struct scalar_sign_op<Scalar,false> {
//template <typename Packet>
//EIGEN_DEVICE_FUNC inline Packet packetOp(const Packet& a) const { return internal::psign(a); }
};
-template<typename Scalar>
+template<typename Scalar>
struct scalar_sign_op<Scalar,true> {
EIGEN_EMPTY_STRUCT_CTOR(scalar_sign_op)
- EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const
+ EIGEN_DEVICE_FUNC inline const Scalar operator() (const Scalar& a) const
{
- using std::abs;
typedef typename NumTraits<Scalar>::Real real_type;
- real_type aa = abs(a);
+ real_type aa = numext::abs(a);
if (aa==0)
- return Scalar(0);
- aa = 1./aa;
+ return Scalar(0);
+ aa = 1./aa;
return Scalar(real(a)*aa, imag(a)*aa );
}
//TODO