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bug #698: fix linspaced for integer types.
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@ -37,7 +37,7 @@ template<typename Scalar>
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struct functor_traits<scalar_identity_op<Scalar> >
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{ enum { Cost = NumTraits<Scalar>::AddCost, PacketAccess = false, IsRepeatable = true }; };
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template <typename Scalar, typename Packet, bool RandomAccess> struct linspaced_op_impl;
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template <typename Scalar, typename Packet, bool RandomAccess, bool IsInteger> struct linspaced_op_impl;
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// linear access for packet ops:
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// 1) initialization
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@ -48,12 +48,12 @@ template <typename Scalar, typename Packet, bool RandomAccess> struct linspaced_
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// TODO: Perhaps it's better to initialize lazily (so not in the constructor but in packetOp)
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// in order to avoid the padd() in operator() ?
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template <typename Scalar, typename Packet>
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struct linspaced_op_impl<Scalar,Packet,false>
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struct linspaced_op_impl<Scalar,Packet,/*RandomAccess*/false,/*IsInteger*/false>
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{
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linspaced_op_impl(const Scalar& low, const Scalar& step) :
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m_low(low), m_step(step),
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m_packetStep(pset1<Packet>(unpacket_traits<Packet>::size*step)),
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m_base(padd(pset1<Packet>(low), pmul(pset1<Packet>(step),plset<Packet>(-unpacket_traits<Packet>::size)))) {}
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linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
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m_low(low), m_step(num_steps==1 ? Scalar() : (high-low)/Scalar(num_steps-1)),
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m_packetStep(pset1<Packet>(unpacket_traits<Packet>::size*m_step)),
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m_base(padd(pset1<Packet>(low), pmul(pset1<Packet>(m_step),plset<Packet>(-unpacket_traits<Packet>::size)))) {}
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template<typename Index>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (Index i) const
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@ -75,11 +75,11 @@ struct linspaced_op_impl<Scalar,Packet,false>
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// 1) each step
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// [low, ..., low] + ( [step, ..., step] * ( [i, ..., i] + [0, ..., size] ) )
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template <typename Scalar, typename Packet>
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struct linspaced_op_impl<Scalar,Packet,true>
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struct linspaced_op_impl<Scalar,Packet,/*RandomAccess*/true,/*IsInteger*/false>
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{
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linspaced_op_impl(const Scalar& low, const Scalar& step) :
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m_low(low), m_step(step),
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m_lowPacket(pset1<Packet>(m_low)), m_stepPacket(pset1<Packet>(m_step)), m_interPacket(plset<Packet>(0)) {}
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linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
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m_low(low), m_step(num_steps==1 ? Scalar() : (high-low)/Scalar(num_steps-1)),
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m_lowPacket(pset1<Packet>(m_low)), m_stepPacket(pset1<Packet>(m_step)), m_interPacket(plset<Packet>(0)) {}
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template<typename Index>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (Index i) const { return m_low+i*m_step; }
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@ -95,6 +95,31 @@ struct linspaced_op_impl<Scalar,Packet,true>
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const Packet m_interPacket;
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};
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template <typename Scalar, typename Packet>
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struct linspaced_op_impl<Scalar,Packet,/*RandomAccess*/true,/*IsInteger*/true>
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{
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linspaced_op_impl(const Scalar& low, const Scalar& high, Index num_steps) :
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m_low(low), m_length(high-low), m_numSteps(num_steps), m_interPacket(plset<Packet>(0))
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{}
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template<typename Index>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
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const Scalar operator() (Index i) const {
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return m_low + (m_length*Scalar(i))/(m_numSteps-1);
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}
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template<typename Index>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE
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const Packet packetOp(Index i) const {
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return internal::padd(pset1<Packet>(m_low), pdiv(pmul(pset1<Packet>(m_length), padd(pset1<Packet>(Scalar(i)),m_interPacket)),
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pset1<Packet>(m_numSteps-1))); }
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const Scalar m_low;
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const Scalar m_length;
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const Index m_numSteps;
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const Packet m_interPacket;
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};
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// ----- Linspace functor ----------------------------------------------------------------
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// Forward declaration (we default to random access which does not really give
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@ -102,10 +127,20 @@ struct linspaced_op_impl<Scalar,Packet,true>
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// nested expressions).
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template <typename Scalar, typename PacketType, bool RandomAccess = true> struct linspaced_op;
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template <typename Scalar, typename PacketType, bool RandomAccess> struct functor_traits< linspaced_op<Scalar,PacketType,RandomAccess> >
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{ enum { Cost = 1, PacketAccess = packet_traits<Scalar>::HasSetLinear, IsRepeatable = true }; };
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{
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enum
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{
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Cost = 1,
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PacketAccess = packet_traits<Scalar>::HasSetLinear
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&& ((!NumTraits<Scalar>::IsInteger) || packet_traits<Scalar>::HasDiv),
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IsRepeatable = true
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};
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};
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template <typename Scalar, typename PacketType, bool RandomAccess> struct linspaced_op
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{
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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))) {}
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linspaced_op(const Scalar& low, const Scalar& high, Index num_steps)
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: impl((num_steps==1 ? high : low),high,num_steps)
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{}
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template<typename Index>
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EIGEN_DEVICE_FUNC EIGEN_STRONG_INLINE const Scalar operator() (Index i) const { return impl(i); }
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@ -134,7 +169,9 @@ template <typename Scalar, typename PacketType, bool RandomAccess> struct linspa
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// This proxy object handles the actual required temporaries, the different
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// implementations (random vs. sequential access) as well as the
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// correct piping to size 2/4 packet operations.
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const linspaced_op_impl<Scalar,PacketType,RandomAccess> impl;
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// As long as we don't have a Bresenham-like implementation for linear-access and integer types,
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// we have to by-pass RandomAccess for integer types. See bug 698.
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const linspaced_op_impl<Scalar,PacketType,(NumTraits<Scalar>::IsInteger?true:RandomAccess),NumTraits<Scalar>::IsInteger> impl;
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};
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// all functors allow linear access, except scalar_identity_op. So we fix here a quick meta
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@ -48,30 +48,32 @@ void testVectorType(const VectorType& base)
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VectorType m(base);
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m.setLinSpaced(size,low,high);
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if(!NumTraits<Scalar>::IsInteger)
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{
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VectorType n(size);
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for (int i=0; i<size; ++i)
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n(i) = low+i*step;
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VERIFY_IS_APPROX(m,n);
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}
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VectorType n(size);
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for (int i=0; i<size; ++i)
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n(i) = low+i*step;
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n(i) = size==1 ? low : (low + ((high-low)*Scalar(i))/(size-1));
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VERIFY_IS_APPROX(m,n);
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// random access version
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m = VectorType::LinSpaced(size,low,high);
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VERIFY_IS_APPROX(m,n);
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// Assignment of a RowVectorXd to a MatrixXd (regression test for bug #79).
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VERIFY( (MatrixXd(RowVectorXd::LinSpaced(3, 0, 1)) - RowVector3d(0, 0.5, 1)).norm() < std::numeric_limits<Scalar>::epsilon() );
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// These guys sometimes fail! This is not good. Any ideas how to fix them!?
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//VERIFY( m(m.size()-1) == high );
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//VERIFY( m(0) == low );
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VERIFY( internal::isApprox(m(m.size()-1),high) );
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VERIFY( size==1 || internal::isApprox(m(0),low) );
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// sequential access version
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m = VectorType::LinSpaced(Sequential,size,low,high);
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VERIFY_IS_APPROX(m,n);
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// These guys sometimes fail! This is not good. Any ideas how to fix them!?
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//VERIFY( m(m.size()-1) == high );
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//VERIFY( m(0) == low );
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VERIFY( internal::isApprox(m(m.size()-1),high) );
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VERIFY( size==1 || internal::isApprox(m(0),low) );
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// check whether everything works with row and col major vectors
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Matrix<Scalar,Dynamic,1> row_vector(size);
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@ -126,5 +128,12 @@ void test_nullary()
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CALL_SUBTEST_8( testVectorType(Vector4f()) );
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CALL_SUBTEST_8( testVectorType(Matrix<float,8,1>()) );
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CALL_SUBTEST_8( testVectorType(Matrix<float,1,1>()) );
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CALL_SUBTEST_9( testVectorType(VectorXi(internal::random<int>(1,300))) );
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}
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#ifdef EIGEN_TEST_PART_6
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// Assignment of a RowVectorXd to a MatrixXd (regression test for bug #79).
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VERIFY( (MatrixXd(RowVectorXd::LinSpaced(3, 0, 1)) - RowVector3d(0, 0.5, 1)).norm() < std::numeric_limits<double>::epsilon() );
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#endif
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}
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