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-rw-r--r--third_party/eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h241
-rw-r--r--third_party/eigen3/Eigen/src/plugins/ArrayCwiseUnaryOps.h245
-rw-r--r--third_party/eigen3/Eigen/src/plugins/BlockMethods.h995
-rw-r--r--third_party/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h47
-rw-r--r--third_party/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h201
-rw-r--r--third_party/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h134
-rw-r--r--third_party/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h72
7 files changed, 1935 insertions, 0 deletions
diff --git a/third_party/eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h b/third_party/eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
new file mode 100644
index 0000000000..6e3f674573
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/ArrayCwiseBinaryOps.h
@@ -0,0 +1,241 @@
+/** \returns an expression of the coefficient wise product of \c *this and \a other
+ *
+ * \sa MatrixBase::cwiseProduct
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const EIGEN_CWISE_PRODUCT_RETURN_TYPE(Derived,OtherDerived)
+operator*(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return EIGEN_CWISE_PRODUCT_RETURN_TYPE(Derived,OtherDerived)(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient wise quotient of \c *this and \a other
+ *
+ * \sa MatrixBase::cwiseQuotient
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>
+operator/(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient-wise min of \c *this and \a other
+ *
+ * Example: \include Cwise_min.cpp
+ * Output: \verbinclude Cwise_min.out
+ *
+ * \sa max()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(min,internal::scalar_min_op)
+
+/** \returns an expression of the coefficient-wise min of \c *this and scalar \a other
+ *
+ * \sa max()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived,
+ const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject> >
+#ifdef EIGEN_PARSED_BY_DOXYGEN
+min
+#else
+(min)
+#endif
+(const Scalar &other) const
+{
+ return (min)(Derived::PlainObject::Constant(rows(), cols(), other));
+}
+
+/** \returns an expression of the coefficient-wise max of \c *this and \a other
+ *
+ * Example: \include Cwise_max.cpp
+ * Output: \verbinclude Cwise_max.out
+ *
+ * \sa min()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(max,internal::scalar_max_op)
+
+/** \returns an expression of the coefficient-wise max of \c *this and scalar \a other
+ *
+ * \sa min()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived,
+ const CwiseNullaryOp<internal::scalar_constant_op<Scalar>, PlainObject> >
+#ifdef EIGEN_PARSED_BY_DOXYGEN
+max
+#else
+(max)
+#endif
+(const Scalar &other) const
+{
+ return (max)(Derived::PlainObject::Constant(rows(), cols(), other));
+}
+
+/** \returns an expression of the coefficient-wise \< operator of *this and \a other
+ *
+ * Example: \include Cwise_less.cpp
+ * Output: \verbinclude Cwise_less.out
+ *
+ * \sa all(), any(), operator>(), operator<=()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator<,std::less)
+
+/** \returns an expression of the coefficient-wise \<= operator of *this and \a other
+ *
+ * Example: \include Cwise_less_equal.cpp
+ * Output: \verbinclude Cwise_less_equal.out
+ *
+ * \sa all(), any(), operator>=(), operator<()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator<=,std::less_equal)
+
+/** \returns an expression of the coefficient-wise \> operator of *this and \a other
+ *
+ * Example: \include Cwise_greater.cpp
+ * Output: \verbinclude Cwise_greater.out
+ *
+ * \sa all(), any(), operator>=(), operator<()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator>,std::greater)
+
+/** \returns an expression of the coefficient-wise \>= operator of *this and \a other
+ *
+ * Example: \include Cwise_greater_equal.cpp
+ * Output: \verbinclude Cwise_greater_equal.out
+ *
+ * \sa all(), any(), operator>(), operator<=()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator>=,std::greater_equal)
+
+/** \returns an expression of the coefficient-wise == operator of *this and \a other
+ *
+ * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
+ * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
+ * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
+ * isMuchSmallerThan().
+ *
+ * Example: \include Cwise_equal_equal.cpp
+ * Output: \verbinclude Cwise_equal_equal.out
+ *
+ * \sa all(), any(), isApprox(), isMuchSmallerThan()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator==,std::equal_to)
+
+/** \returns an expression of the coefficient-wise != operator of *this and \a other
+ *
+ * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
+ * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
+ * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
+ * isMuchSmallerThan().
+ *
+ * Example: \include Cwise_not_equal.cpp
+ * Output: \verbinclude Cwise_not_equal.out
+ *
+ * \sa all(), any(), isApprox(), isMuchSmallerThan()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator!=,std::not_equal_to)
+
+// scalar addition
+
+/** \returns an expression of \c *this with each coeff incremented by the constant \a scalar
+ *
+ * Example: \include Cwise_plus.cpp
+ * Output: \verbinclude Cwise_plus.out
+ *
+ * \sa operator+=(), operator-()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_add_op<Scalar>, const Derived>
+operator+(const Scalar& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_add_op<Scalar>, const Derived>(derived(), internal::scalar_add_op<Scalar>(scalar));
+}
+
+EIGEN_DEVICE_FUNC
+friend inline const CwiseUnaryOp<internal::scalar_add_op<Scalar>, const Derived>
+operator+(const Scalar& scalar,const EIGEN_CURRENT_STORAGE_BASE_CLASS<Derived>& other)
+{
+ return other + scalar;
+}
+
+/** \returns an expression of \c *this with each coeff decremented by the constant \a scalar
+ *
+ * Example: \include Cwise_minus.cpp
+ * Output: \verbinclude Cwise_minus.out
+ *
+ * \sa operator+(), operator-=()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_sub_op<Scalar>, const Derived>
+operator-(const Scalar& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_sub_op<Scalar>, const Derived>(derived(), internal::scalar_sub_op<Scalar>(scalar));;
+}
+
+EIGEN_DEVICE_FUNC
+friend inline const CwiseUnaryOp<internal::scalar_rsub_op<Scalar>, const Derived>
+operator-(const Scalar& scalar,const EIGEN_CURRENT_STORAGE_BASE_CLASS<Derived>& other)
+{
+ return CwiseUnaryOp<internal::scalar_rsub_op<Scalar>, const Derived>(other.derived(), internal::scalar_rsub_op<Scalar>(scalar));;
+}
+
+/** \returns an expression of the coefficient-wise && operator of *this and \a other
+ *
+ * \warning this operator is for expression of bool only.
+ *
+ * Example: \include Cwise_boolean_and.cpp
+ * Output: \verbinclude Cwise_boolean_and.out
+ *
+ * \sa operator||(), select()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+inline const CwiseBinaryOp<internal::scalar_boolean_and_op, const Derived, const OtherDerived>
+operator&&(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
+ THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
+ return CwiseBinaryOp<internal::scalar_boolean_and_op, const Derived, const OtherDerived>(derived(),other.derived());
+}
+
+/** \returns an expression of the coefficient-wise || operator of *this and \a other
+ *
+ * \warning this operator is for expression of bool only.
+ *
+ * Example: \include Cwise_boolean_or.cpp
+ * Output: \verbinclude Cwise_boolean_or.out
+ *
+ * \sa operator&&(), select()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+inline const CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived>
+operator||(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
+ THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
+ return CwiseBinaryOp<internal::scalar_boolean_or_op, const Derived, const OtherDerived>(derived(),other.derived());
+}
+
+/** \returns an expression of the coefficient-wise ^ operator of *this and \a other
+ *
+ * \warning this operator is for expression of bool only.
+ *
+ * Example: \include Cwise_boolean_xor.cpp
+ * Output: \verbinclude Cwise_boolean_xor.out
+ *
+ * \sa operator^(), select()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+inline const CwiseBinaryOp<internal::scalar_boolean_xor_op, const Derived, const OtherDerived>
+operator^(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ EIGEN_STATIC_ASSERT((internal::is_same<bool,Scalar>::value && internal::is_same<bool,typename OtherDerived::Scalar>::value),
+ THIS_METHOD_IS_ONLY_FOR_EXPRESSIONS_OF_BOOL);
+ return CwiseBinaryOp<internal::scalar_boolean_xor_op, const Derived, const OtherDerived>(derived(),other.derived());
+}
+
diff --git a/third_party/eigen3/Eigen/src/plugins/ArrayCwiseUnaryOps.h b/third_party/eigen3/Eigen/src/plugins/ArrayCwiseUnaryOps.h
new file mode 100644
index 0000000000..ea6778c3f5
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/ArrayCwiseUnaryOps.h
@@ -0,0 +1,245 @@
+
+
+/** \returns an expression of the coefficient-wise absolute value of \c *this
+ *
+ * Example: \include Cwise_abs.cpp
+ * Output: \verbinclude Cwise_abs.out
+ *
+ * \sa abs2()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs_op<Scalar>, const Derived>
+abs() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise squared absolute value of \c *this
+ *
+ * Example: \include Cwise_abs2.cpp
+ * Output: \verbinclude Cwise_abs2.out
+ *
+ * \sa abs(), square()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const Derived>
+abs2() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise exponential of *this.
+ *
+ * Example: \include Cwise_exp.cpp
+ * Output: \verbinclude Cwise_exp.out
+ *
+ * \sa pow(), log(), sin(), cos()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_exp_op<Scalar>, const Derived>
+exp() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise logarithm of *this.
+ *
+ * Example: \include Cwise_log.cpp
+ * Output: \verbinclude Cwise_log.out
+ *
+ * \sa exp()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_log_op<Scalar>, const Derived>
+log() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise square root of *this.
+ *
+ * Example: \include Cwise_sqrt.cpp
+ * Output: \verbinclude Cwise_sqrt.out
+ *
+ * \sa rsqrt(), pow(), square()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_sqrt_op<Scalar>, const Derived>
+sqrt() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise reciprocal square root of *this.
+ *
+ * \sa sqrt(), pow(), square()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_rsqrt_op<Scalar>, const Derived>
+rsqrt() const
+{
+ return derived();
+}
+
+
+/** \returns an expression of the coefficient-wise cosine of *this.
+ *
+ * Example: \include Cwise_cos.cpp
+ * Output: \verbinclude Cwise_cos.out
+ *
+ * \sa sin(), acos()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_cos_op<Scalar>, const Derived>
+cos() const
+{
+ return derived();
+}
+
+
+/** \returns an expression of the coefficient-wise sine of *this.
+ *
+ * Example: \include Cwise_sin.cpp
+ * Output: \verbinclude Cwise_sin.out
+ *
+ * \sa cos(), asin()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_sin_op<Scalar>, const Derived>
+sin() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise arc cosine of *this.
+ *
+ * Example: \include Cwise_acos.cpp
+ * Output: \verbinclude Cwise_acos.out
+ *
+ * \sa cos(), asin()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_acos_op<Scalar>, const Derived>
+acos() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise arc sine of *this.
+ *
+ * Example: \include Cwise_asin.cpp
+ * Output: \verbinclude Cwise_asin.out
+ *
+ * \sa sin(), acos()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_asin_op<Scalar>, const Derived>
+asin() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise tan of *this.
+ *
+ * Example: \include Cwise_tan.cpp
+ * Output: \verbinclude Cwise_tan.out
+ *
+ * \sa cos(), sin()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_tan_op<Scalar>, Derived>
+tan() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise arc tan of *this.
+ *
+ * Example: \include Cwise_atan.cpp
+ * Output: \verbinclude Cwise_atan.out
+ *
+ * \sa cos(), sin(), tan()
+ */
+inline const CwiseUnaryOp<internal::scalar_atan_op<Scalar>, Derived>
+atan() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise power of *this to the given exponent.
+ *
+ * Example: \include Cwise_pow.cpp
+ * Output: \verbinclude Cwise_pow.out
+ *
+ * \sa exp(), log()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_pow_op<Scalar>, const Derived>
+pow(const Scalar& exponent) const
+{
+ return CwiseUnaryOp<internal::scalar_pow_op<Scalar>, const Derived>
+ (derived(), internal::scalar_pow_op<Scalar>(exponent));
+}
+
+
+/** \returns an expression of the coefficient-wise inverse of *this.
+ *
+ * Example: \include Cwise_inverse.cpp
+ * Output: \verbinclude Cwise_inverse.out
+ *
+ * \sa operator/(), operator*()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const Derived>
+inverse() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise square of *this.
+ *
+ * Example: \include Cwise_square.cpp
+ * Output: \verbinclude Cwise_square.out
+ *
+ * \sa operator/(), operator*(), abs2()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_square_op<Scalar>, const Derived>
+square() const
+{
+ return derived();
+}
+
+/** \returns an expression of the coefficient-wise cube of *this.
+ *
+ * Example: \include Cwise_cube.cpp
+ * Output: \verbinclude Cwise_cube.out
+ *
+ * \sa square(), pow()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_cube_op<Scalar>, const Derived>
+cube() const
+{
+ return derived();
+}
+
+#define EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(METHOD_NAME,FUNCTOR) \
+ EIGEN_DEVICE_FUNC \
+ inline const CwiseUnaryOp<std::binder2nd<FUNCTOR<Scalar> >, const Derived> \
+ METHOD_NAME(const Scalar& s) const { \
+ return CwiseUnaryOp<std::binder2nd<FUNCTOR<Scalar> >, const Derived> \
+ (derived(), std::bind2nd(FUNCTOR<Scalar>(), s)); \
+ } \
+ friend inline const CwiseUnaryOp<std::binder1st<FUNCTOR<Scalar> >, const Derived> \
+ METHOD_NAME(const Scalar& s, const Derived& d) { \
+ return CwiseUnaryOp<std::binder1st<FUNCTOR<Scalar> >, const Derived> \
+ (d, std::bind1st(FUNCTOR<Scalar>(), s)); \
+ }
+
+EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(operator==, std::equal_to)
+EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(operator!=, std::not_equal_to)
+EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(operator<, std::less)
+EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(operator<=, std::less_equal)
+EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(operator>, std::greater)
+EIGEN_MAKE_SCALAR_CWISE_UNARY_OP(operator>=, std::greater_equal)
diff --git a/third_party/eigen3/Eigen/src/plugins/BlockMethods.h b/third_party/eigen3/Eigen/src/plugins/BlockMethods.h
new file mode 100644
index 0000000000..9b7fdc4aa7
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/BlockMethods.h
@@ -0,0 +1,995 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+
+#ifndef EIGEN_PARSED_BY_DOXYGEN
+
+/** \internal expression type of a column */
+typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, 1, !IsRowMajor> ColXpr;
+typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, 1, !IsRowMajor> ConstColXpr;
+/** \internal expression type of a row */
+typedef Block<Derived, 1, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> RowXpr;
+typedef const Block<const Derived, 1, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> ConstRowXpr;
+/** \internal expression type of a block of whole columns */
+typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, Dynamic, !IsRowMajor> ColsBlockXpr;
+typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, Dynamic, !IsRowMajor> ConstColsBlockXpr;
+/** \internal expression type of a block of whole rows */
+typedef Block<Derived, Dynamic, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> RowsBlockXpr;
+typedef const Block<const Derived, Dynamic, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> ConstRowsBlockXpr;
+/** \internal expression type of a block of whole columns */
+template<int N> struct NColsBlockXpr { typedef Block<Derived, internal::traits<Derived>::RowsAtCompileTime, N, !IsRowMajor> Type; };
+template<int N> struct ConstNColsBlockXpr { typedef const Block<const Derived, internal::traits<Derived>::RowsAtCompileTime, N, !IsRowMajor> Type; };
+/** \internal expression type of a block of whole rows */
+template<int N> struct NRowsBlockXpr { typedef Block<Derived, N, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> Type; };
+template<int N> struct ConstNRowsBlockXpr { typedef const Block<const Derived, N, internal::traits<Derived>::ColsAtCompileTime, IsRowMajor> Type; };
+
+typedef VectorBlock<Derived> SegmentReturnType;
+typedef const VectorBlock<const Derived> ConstSegmentReturnType;
+template<int Size> struct FixedSegmentReturnType { typedef VectorBlock<Derived, Size> Type; };
+template<int Size> struct ConstFixedSegmentReturnType { typedef const VectorBlock<const Derived, Size> Type; };
+
+#endif // not EIGEN_PARSED_BY_DOXYGEN
+
+/** \returns a dynamic-size expression of a block in *this.
+ *
+ * \param startRow the first row in the block
+ * \param startCol the first column in the block
+ * \param blockRows the number of rows in the block
+ * \param blockCols the number of columns in the block
+ *
+ * Example: \include MatrixBase_block_int_int_int_int.cpp
+ * Output: \verbinclude MatrixBase_block_int_int_int_int.out
+ *
+ * \note Even though the returned expression has dynamic size, in the case
+ * when it is applied to a fixed-size matrix, it inherits a fixed maximal size,
+ * which means that evaluating it does not cause a dynamic memory allocation.
+ *
+ * \sa class Block, block(Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline Block<Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols)
+{
+ return Block<Derived>(derived(), startRow, startCol, blockRows, blockCols);
+}
+
+/** This is the const version of block(Index,Index,Index,Index). */
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived> block(Index startRow, Index startCol, Index blockRows, Index blockCols) const
+{
+ return Block<const Derived>(derived(), startRow, startCol, blockRows, blockCols);
+}
+
+
+
+
+/** \returns a dynamic-size expression of a top-right corner of *this.
+ *
+ * \param cRows the number of rows in the corner
+ * \param cCols the number of columns in the corner
+ *
+ * Example: \include MatrixBase_topRightCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_topRightCorner_int_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline Block<Derived> topRightCorner(Index cRows, Index cCols)
+{
+ return Block<Derived>(derived(), 0, cols() - cCols, cRows, cCols);
+}
+
+/** This is the const version of topRightCorner(Index, Index).*/
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived> topRightCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived>(derived(), 0, cols() - cCols, cRows, cCols);
+}
+
+/** \returns an expression of a fixed-size top-right corner of *this.
+ *
+ * \tparam CRows the number of rows in the corner
+ * \tparam CCols the number of columns in the corner
+ *
+ * Example: \include MatrixBase_template_int_int_topRightCorner.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_topRightCorner.out
+ *
+ * \sa class Block, block<int,int>(Index,Index)
+ */
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline Block<Derived, CRows, CCols> topRightCorner()
+{
+ return Block<Derived, CRows, CCols>(derived(), 0, cols() - CCols);
+}
+
+/** This is the const version of topRightCorner<int, int>().*/
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived, CRows, CCols> topRightCorner() const
+{
+ return Block<const Derived, CRows, CCols>(derived(), 0, cols() - CCols);
+}
+
+/** \returns an expression of a top-right corner of *this.
+ *
+ * \tparam CRows number of rows in corner as specified at compile-time
+ * \tparam CCols number of columns in corner as specified at compile-time
+ * \param cRows number of rows in corner as specified at run-time
+ * \param cCols number of columns in corner as specified at run-time
+ *
+ * This function is mainly useful for corners where the number of rows is specified at compile-time
+ * and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
+ * information should not contradict. In other words, \a cRows should equal \a CRows unless
+ * \a CRows is \a Dynamic, and the same for the number of columns.
+ *
+ * Example: \include MatrixBase_template_int_int_topRightCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_topRightCorner_int_int.out
+ *
+ * \sa class Block
+ */
+template<int CRows, int CCols>
+inline Block<Derived, CRows, CCols> topRightCorner(Index cRows, Index cCols)
+{
+ return Block<Derived, CRows, CCols>(derived(), 0, cols() - cCols, cRows, cCols);
+}
+
+/** This is the const version of topRightCorner<int, int>(Index, Index).*/
+template<int CRows, int CCols>
+inline const Block<const Derived, CRows, CCols> topRightCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived, CRows, CCols>(derived(), 0, cols() - cCols, cRows, cCols);
+}
+
+
+
+/** \returns a dynamic-size expression of a top-left corner of *this.
+ *
+ * \param cRows the number of rows in the corner
+ * \param cCols the number of columns in the corner
+ *
+ * Example: \include MatrixBase_topLeftCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_topLeftCorner_int_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline Block<Derived> topLeftCorner(Index cRows, Index cCols)
+{
+ return Block<Derived>(derived(), 0, 0, cRows, cCols);
+}
+
+/** This is the const version of topLeftCorner(Index, Index).*/
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived> topLeftCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived>(derived(), 0, 0, cRows, cCols);
+}
+
+/** \returns an expression of a fixed-size top-left corner of *this.
+ *
+ * The template parameters CRows and CCols are the number of rows and columns in the corner.
+ *
+ * Example: \include MatrixBase_template_int_int_topLeftCorner.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_topLeftCorner.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline Block<Derived, CRows, CCols> topLeftCorner()
+{
+ return Block<Derived, CRows, CCols>(derived(), 0, 0);
+}
+
+/** This is the const version of topLeftCorner<int, int>().*/
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived, CRows, CCols> topLeftCorner() const
+{
+ return Block<const Derived, CRows, CCols>(derived(), 0, 0);
+}
+
+/** \returns an expression of a top-left corner of *this.
+ *
+ * \tparam CRows number of rows in corner as specified at compile-time
+ * \tparam CCols number of columns in corner as specified at compile-time
+ * \param cRows number of rows in corner as specified at run-time
+ * \param cCols number of columns in corner as specified at run-time
+ *
+ * This function is mainly useful for corners where the number of rows is specified at compile-time
+ * and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
+ * information should not contradict. In other words, \a cRows should equal \a CRows unless
+ * \a CRows is \a Dynamic, and the same for the number of columns.
+ *
+ * Example: \include MatrixBase_template_int_int_topLeftCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_topLeftCorner_int_int.out
+ *
+ * \sa class Block
+ */
+template<int CRows, int CCols>
+inline Block<Derived, CRows, CCols> topLeftCorner(Index cRows, Index cCols)
+{
+ return Block<Derived, CRows, CCols>(derived(), 0, 0, cRows, cCols);
+}
+
+/** This is the const version of topLeftCorner<int, int>(Index, Index).*/
+template<int CRows, int CCols>
+inline const Block<const Derived, CRows, CCols> topLeftCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived, CRows, CCols>(derived(), 0, 0, cRows, cCols);
+}
+
+
+
+/** \returns a dynamic-size expression of a bottom-right corner of *this.
+ *
+ * \param cRows the number of rows in the corner
+ * \param cCols the number of columns in the corner
+ *
+ * Example: \include MatrixBase_bottomRightCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_bottomRightCorner_int_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline Block<Derived> bottomRightCorner(Index cRows, Index cCols)
+{
+ return Block<Derived>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
+}
+
+/** This is the const version of bottomRightCorner(Index, Index).*/
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived> bottomRightCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
+}
+
+/** \returns an expression of a fixed-size bottom-right corner of *this.
+ *
+ * The template parameters CRows and CCols are the number of rows and columns in the corner.
+ *
+ * Example: \include MatrixBase_template_int_int_bottomRightCorner.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_bottomRightCorner.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline Block<Derived, CRows, CCols> bottomRightCorner()
+{
+ return Block<Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols);
+}
+
+/** This is the const version of bottomRightCorner<int, int>().*/
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived, CRows, CCols> bottomRightCorner() const
+{
+ return Block<const Derived, CRows, CCols>(derived(), rows() - CRows, cols() - CCols);
+}
+
+/** \returns an expression of a bottom-right corner of *this.
+ *
+ * \tparam CRows number of rows in corner as specified at compile-time
+ * \tparam CCols number of columns in corner as specified at compile-time
+ * \param cRows number of rows in corner as specified at run-time
+ * \param cCols number of columns in corner as specified at run-time
+ *
+ * This function is mainly useful for corners where the number of rows is specified at compile-time
+ * and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
+ * information should not contradict. In other words, \a cRows should equal \a CRows unless
+ * \a CRows is \a Dynamic, and the same for the number of columns.
+ *
+ * Example: \include MatrixBase_template_int_int_bottomRightCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_bottomRightCorner_int_int.out
+ *
+ * \sa class Block
+ */
+template<int CRows, int CCols>
+inline Block<Derived, CRows, CCols> bottomRightCorner(Index cRows, Index cCols)
+{
+ return Block<Derived, CRows, CCols>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
+}
+
+/** This is the const version of bottomRightCorner<int, int>(Index, Index).*/
+template<int CRows, int CCols>
+inline const Block<const Derived, CRows, CCols> bottomRightCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived, CRows, CCols>(derived(), rows() - cRows, cols() - cCols, cRows, cCols);
+}
+
+
+
+/** \returns a dynamic-size expression of a bottom-left corner of *this.
+ *
+ * \param cRows the number of rows in the corner
+ * \param cCols the number of columns in the corner
+ *
+ * Example: \include MatrixBase_bottomLeftCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_bottomLeftCorner_int_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline Block<Derived> bottomLeftCorner(Index cRows, Index cCols)
+{
+ return Block<Derived>(derived(), rows() - cRows, 0, cRows, cCols);
+}
+
+/** This is the const version of bottomLeftCorner(Index, Index).*/
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived> bottomLeftCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived>(derived(), rows() - cRows, 0, cRows, cCols);
+}
+
+/** \returns an expression of a fixed-size bottom-left corner of *this.
+ *
+ * The template parameters CRows and CCols are the number of rows and columns in the corner.
+ *
+ * Example: \include MatrixBase_template_int_int_bottomLeftCorner.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_bottomLeftCorner.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline Block<Derived, CRows, CCols> bottomLeftCorner()
+{
+ return Block<Derived, CRows, CCols>(derived(), rows() - CRows, 0);
+}
+
+/** This is the const version of bottomLeftCorner<int, int>().*/
+template<int CRows, int CCols>
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived, CRows, CCols> bottomLeftCorner() const
+{
+ return Block<const Derived, CRows, CCols>(derived(), rows() - CRows, 0);
+}
+
+/** \returns an expression of a bottom-left corner of *this.
+ *
+ * \tparam CRows number of rows in corner as specified at compile-time
+ * \tparam CCols number of columns in corner as specified at compile-time
+ * \param cRows number of rows in corner as specified at run-time
+ * \param cCols number of columns in corner as specified at run-time
+ *
+ * This function is mainly useful for corners where the number of rows is specified at compile-time
+ * and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
+ * information should not contradict. In other words, \a cRows should equal \a CRows unless
+ * \a CRows is \a Dynamic, and the same for the number of columns.
+ *
+ * Example: \include MatrixBase_template_int_int_bottomLeftCorner_int_int.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_bottomLeftCorner_int_int.out
+ *
+ * \sa class Block
+ */
+template<int CRows, int CCols>
+inline Block<Derived, CRows, CCols> bottomLeftCorner(Index cRows, Index cCols)
+{
+ return Block<Derived, CRows, CCols>(derived(), rows() - cRows, 0, cRows, cCols);
+}
+
+/** This is the const version of bottomLeftCorner<int, int>(Index, Index).*/
+template<int CRows, int CCols>
+inline const Block<const Derived, CRows, CCols> bottomLeftCorner(Index cRows, Index cCols) const
+{
+ return Block<const Derived, CRows, CCols>(derived(), rows() - cRows, 0, cRows, cCols);
+}
+
+
+
+/** \returns a block consisting of the top rows of *this.
+ *
+ * \param n the number of rows in the block
+ *
+ * Example: \include MatrixBase_topRows_int.cpp
+ * Output: \verbinclude MatrixBase_topRows_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline RowsBlockXpr topRows(Index n)
+{
+ return RowsBlockXpr(derived(), 0, 0, n, cols());
+}
+
+/** This is the const version of topRows(Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstRowsBlockXpr topRows(Index n) const
+{
+ return ConstRowsBlockXpr(derived(), 0, 0, n, cols());
+}
+
+/** \returns a block consisting of the top rows of *this.
+ *
+ * \tparam N the number of rows in the block as specified at compile-time
+ * \param n the number of rows in the block as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_topRows.cpp
+ * Output: \verbinclude MatrixBase_template_int_topRows.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename NRowsBlockXpr<N>::Type topRows(Index n = N)
+{
+ return typename NRowsBlockXpr<N>::Type(derived(), 0, 0, n, cols());
+}
+
+/** This is the const version of topRows<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstNRowsBlockXpr<N>::Type topRows(Index n = N) const
+{
+ return typename ConstNRowsBlockXpr<N>::Type(derived(), 0, 0, n, cols());
+}
+
+
+
+/** \returns a block consisting of the bottom rows of *this.
+ *
+ * \param n the number of rows in the block
+ *
+ * Example: \include MatrixBase_bottomRows_int.cpp
+ * Output: \verbinclude MatrixBase_bottomRows_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline RowsBlockXpr bottomRows(Index n)
+{
+ return RowsBlockXpr(derived(), rows() - n, 0, n, cols());
+}
+
+/** This is the const version of bottomRows(Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstRowsBlockXpr bottomRows(Index n) const
+{
+ return ConstRowsBlockXpr(derived(), rows() - n, 0, n, cols());
+}
+
+/** \returns a block consisting of the bottom rows of *this.
+ *
+ * \tparam N the number of rows in the block as specified at compile-time
+ * \param n the number of rows in the block as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_bottomRows.cpp
+ * Output: \verbinclude MatrixBase_template_int_bottomRows.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename NRowsBlockXpr<N>::Type bottomRows(Index n = N)
+{
+ return typename NRowsBlockXpr<N>::Type(derived(), rows() - n, 0, n, cols());
+}
+
+/** This is the const version of bottomRows<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstNRowsBlockXpr<N>::Type bottomRows(Index n = N) const
+{
+ return typename ConstNRowsBlockXpr<N>::Type(derived(), rows() - n, 0, n, cols());
+}
+
+
+
+/** \returns a block consisting of a range of rows of *this.
+ *
+ * \param startRow the index of the first row in the block
+ * \param n the number of rows in the block
+ *
+ * Example: \include DenseBase_middleRows_int.cpp
+ * Output: \verbinclude DenseBase_middleRows_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline RowsBlockXpr middleRows(Index startRow, Index n)
+{
+ return RowsBlockXpr(derived(), startRow, 0, n, cols());
+}
+
+/** This is the const version of middleRows(Index,Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstRowsBlockXpr middleRows(Index startRow, Index n) const
+{
+ return ConstRowsBlockXpr(derived(), startRow, 0, n, cols());
+}
+
+/** \returns a block consisting of a range of rows of *this.
+ *
+ * \tparam N the number of rows in the block as specified at compile-time
+ * \param startRow the index of the first row in the block
+ * \param n the number of rows in the block as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include DenseBase_template_int_middleRows.cpp
+ * Output: \verbinclude DenseBase_template_int_middleRows.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename NRowsBlockXpr<N>::Type middleRows(Index startRow, Index n = N)
+{
+ return typename NRowsBlockXpr<N>::Type(derived(), startRow, 0, n, cols());
+}
+
+/** This is the const version of middleRows<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstNRowsBlockXpr<N>::Type middleRows(Index startRow, Index n = N) const
+{
+ return typename ConstNRowsBlockXpr<N>::Type(derived(), startRow, 0, n, cols());
+}
+
+
+
+/** \returns a block consisting of the left columns of *this.
+ *
+ * \param n the number of columns in the block
+ *
+ * Example: \include MatrixBase_leftCols_int.cpp
+ * Output: \verbinclude MatrixBase_leftCols_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline ColsBlockXpr leftCols(Index n)
+{
+ return ColsBlockXpr(derived(), 0, 0, rows(), n);
+}
+
+/** This is the const version of leftCols(Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstColsBlockXpr leftCols(Index n) const
+{
+ return ConstColsBlockXpr(derived(), 0, 0, rows(), n);
+}
+
+/** \returns a block consisting of the left columns of *this.
+ *
+ * \tparam N the number of columns in the block as specified at compile-time
+ * \param n the number of columns in the block as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_leftCols.cpp
+ * Output: \verbinclude MatrixBase_template_int_leftCols.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename NColsBlockXpr<N>::Type leftCols(Index n = N)
+{
+ return typename NColsBlockXpr<N>::Type(derived(), 0, 0, rows(), n);
+}
+
+/** This is the const version of leftCols<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstNColsBlockXpr<N>::Type leftCols(Index n = N) const
+{
+ return typename ConstNColsBlockXpr<N>::Type(derived(), 0, 0, rows(), n);
+}
+
+
+
+/** \returns a block consisting of the right columns of *this.
+ *
+ * \param n the number of columns in the block
+ *
+ * Example: \include MatrixBase_rightCols_int.cpp
+ * Output: \verbinclude MatrixBase_rightCols_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline ColsBlockXpr rightCols(Index n)
+{
+ return ColsBlockXpr(derived(), 0, cols() - n, rows(), n);
+}
+
+/** This is the const version of rightCols(Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstColsBlockXpr rightCols(Index n) const
+{
+ return ConstColsBlockXpr(derived(), 0, cols() - n, rows(), n);
+}
+
+/** \returns a block consisting of the right columns of *this.
+ *
+ * \tparam N the number of columns in the block as specified at compile-time
+ * \param n the number of columns in the block as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_rightCols.cpp
+ * Output: \verbinclude MatrixBase_template_int_rightCols.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename NColsBlockXpr<N>::Type rightCols(Index n = N)
+{
+ return typename NColsBlockXpr<N>::Type(derived(), 0, cols() - n, rows(), n);
+}
+
+/** This is the const version of rightCols<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstNColsBlockXpr<N>::Type rightCols(Index n = N) const
+{
+ return typename ConstNColsBlockXpr<N>::Type(derived(), 0, cols() - n, rows(), n);
+}
+
+
+
+/** \returns a block consisting of a range of columns of *this.
+ *
+ * \param startCol the index of the first column in the block
+ * \param numCols the number of columns in the block
+ *
+ * Example: \include DenseBase_middleCols_int.cpp
+ * Output: \verbinclude DenseBase_middleCols_int.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline ColsBlockXpr middleCols(Index startCol, Index numCols)
+{
+ return ColsBlockXpr(derived(), 0, startCol, rows(), numCols);
+}
+
+/** This is the const version of middleCols(Index,Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstColsBlockXpr middleCols(Index startCol, Index numCols) const
+{
+ return ConstColsBlockXpr(derived(), 0, startCol, rows(), numCols);
+}
+
+/** \returns a block consisting of a range of columns of *this.
+ *
+ * \tparam N the number of columns in the block as specified at compile-time
+ * \param startCol the index of the first column in the block
+ * \param n the number of columns in the block as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include DenseBase_template_int_middleCols.cpp
+ * Output: \verbinclude DenseBase_template_int_middleCols.out
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename NColsBlockXpr<N>::Type middleCols(Index startCol, Index n = N)
+{
+ return typename NColsBlockXpr<N>::Type(derived(), 0, startCol, rows(), n);
+}
+
+/** This is the const version of middleCols<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstNColsBlockXpr<N>::Type middleCols(Index startCol, Index n = N) const
+{
+ return typename ConstNColsBlockXpr<N>::Type(derived(), 0, startCol, rows(), n);
+}
+
+
+
+/** \returns a fixed-size expression of a block in *this.
+ *
+ * The template parameters \a BlockRows and \a BlockCols are the number of
+ * rows and columns in the block.
+ *
+ * \param startRow the first row in the block
+ * \param startCol the first column in the block
+ *
+ * Example: \include MatrixBase_block_int_int.cpp
+ * Output: \verbinclude MatrixBase_block_int_int.out
+ *
+ * \note since block is a templated member, the keyword template has to be used
+ * if the matrix type is also a template parameter: \code m.template block<3,3>(1,1); \endcode
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int BlockRows, int BlockCols>
+EIGEN_DEVICE_FUNC
+inline Block<Derived, BlockRows, BlockCols> block(Index startRow, Index startCol)
+{
+ return Block<Derived, BlockRows, BlockCols>(derived(), startRow, startCol);
+}
+
+/** This is the const version of block<>(Index, Index). */
+template<int BlockRows, int BlockCols>
+EIGEN_DEVICE_FUNC
+inline const Block<const Derived, BlockRows, BlockCols> block(Index startRow, Index startCol) const
+{
+ return Block<const Derived, BlockRows, BlockCols>(derived(), startRow, startCol);
+}
+
+/** \returns an expression of a block in *this.
+ *
+ * \tparam BlockRows number of rows in block as specified at compile-time
+ * \tparam BlockCols number of columns in block as specified at compile-time
+ * \param startRow the first row in the block
+ * \param startCol the first column in the block
+ * \param blockRows number of rows in block as specified at run-time
+ * \param blockCols number of columns in block as specified at run-time
+ *
+ * This function is mainly useful for blocks where the number of rows is specified at compile-time
+ * and the number of columns is specified at run-time, or vice versa. The compile-time and run-time
+ * information should not contradict. In other words, \a blockRows should equal \a BlockRows unless
+ * \a BlockRows is \a Dynamic, and the same for the number of columns.
+ *
+ * Example: \include MatrixBase_template_int_int_block_int_int_int_int.cpp
+ * Output: \verbinclude MatrixBase_template_int_int_block_int_int_int_int.cpp
+ *
+ * \sa class Block, block(Index,Index,Index,Index)
+ */
+template<int BlockRows, int BlockCols>
+inline Block<Derived, BlockRows, BlockCols> block(Index startRow, Index startCol,
+ Index blockRows, Index blockCols)
+{
+ return Block<Derived, BlockRows, BlockCols>(derived(), startRow, startCol, blockRows, blockCols);
+}
+
+/** This is the const version of block<>(Index, Index, Index, Index). */
+template<int BlockRows, int BlockCols>
+inline const Block<const Derived, BlockRows, BlockCols> block(Index startRow, Index startCol,
+ Index blockRows, Index blockCols) const
+{
+ return Block<const Derived, BlockRows, BlockCols>(derived(), startRow, startCol, blockRows, blockCols);
+}
+
+/** \returns an expression of the \a i-th column of *this. Note that the numbering starts at 0.
+ *
+ * Example: \include MatrixBase_col.cpp
+ * Output: \verbinclude MatrixBase_col.out
+ *
+ * \sa row(), class Block */
+EIGEN_DEVICE_FUNC
+inline ColXpr col(Index i)
+{
+ return ColXpr(derived(), i);
+}
+
+/** This is the const version of col(). */
+EIGEN_DEVICE_FUNC
+inline ConstColXpr col(Index i) const
+{
+ return ConstColXpr(derived(), i);
+}
+
+/** \returns an expression of the \a i-th row of *this. Note that the numbering starts at 0.
+ *
+ * Example: \include MatrixBase_row.cpp
+ * Output: \verbinclude MatrixBase_row.out
+ *
+ * \sa col(), class Block */
+EIGEN_DEVICE_FUNC
+inline RowXpr row(Index i)
+{
+ return RowXpr(derived(), i);
+}
+
+/** This is the const version of row(). */
+EIGEN_DEVICE_FUNC
+inline ConstRowXpr row(Index i) const
+{
+ return ConstRowXpr(derived(), i);
+}
+
+/** \returns a dynamic-size expression of a segment (i.e. a vector block) in *this.
+ *
+ * \only_for_vectors
+ *
+ * \param start the first coefficient in the segment
+ * \param n the number of coefficients in the segment
+ *
+ * Example: \include MatrixBase_segment_int_int.cpp
+ * Output: \verbinclude MatrixBase_segment_int_int.out
+ *
+ * \note Even though the returned expression has dynamic size, in the case
+ * when it is applied to a fixed-size vector, it inherits a fixed maximal size,
+ * which means that evaluating it does not cause a dynamic memory allocation.
+ *
+ * \sa class Block, segment(Index)
+ */
+EIGEN_DEVICE_FUNC
+inline SegmentReturnType segment(Index start, Index n)
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return SegmentReturnType(derived(), start, n);
+}
+
+
+/** This is the const version of segment(Index,Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstSegmentReturnType segment(Index start, Index n) const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return ConstSegmentReturnType(derived(), start, n);
+}
+
+/** \returns a dynamic-size expression of the first coefficients of *this.
+ *
+ * \only_for_vectors
+ *
+ * \param n the number of coefficients in the segment
+ *
+ * Example: \include MatrixBase_start_int.cpp
+ * Output: \verbinclude MatrixBase_start_int.out
+ *
+ * \note Even though the returned expression has dynamic size, in the case
+ * when it is applied to a fixed-size vector, it inherits a fixed maximal size,
+ * which means that evaluating it does not cause a dynamic memory allocation.
+ *
+ * \sa class Block, block(Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline SegmentReturnType head(Index n)
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return SegmentReturnType(derived(), 0, n);
+}
+
+/** This is the const version of head(Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstSegmentReturnType head(Index n) const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return ConstSegmentReturnType(derived(), 0, n);
+}
+
+/** \returns a dynamic-size expression of the last coefficients of *this.
+ *
+ * \only_for_vectors
+ *
+ * \param n the number of coefficients in the segment
+ *
+ * Example: \include MatrixBase_end_int.cpp
+ * Output: \verbinclude MatrixBase_end_int.out
+ *
+ * \note Even though the returned expression has dynamic size, in the case
+ * when it is applied to a fixed-size vector, it inherits a fixed maximal size,
+ * which means that evaluating it does not cause a dynamic memory allocation.
+ *
+ * \sa class Block, block(Index,Index)
+ */
+EIGEN_DEVICE_FUNC
+inline SegmentReturnType tail(Index n)
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return SegmentReturnType(derived(), this->size() - n, n);
+}
+
+/** This is the const version of tail(Index).*/
+EIGEN_DEVICE_FUNC
+inline ConstSegmentReturnType tail(Index n) const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return ConstSegmentReturnType(derived(), this->size() - n, n);
+}
+
+/** \returns a fixed-size expression of a segment (i.e. a vector block) in \c *this
+ *
+ * \only_for_vectors
+ *
+ * \tparam N the number of coefficients in the segment as specified at compile-time
+ * \param start the index of the first element in the segment
+ * \param n the number of coefficients in the segment as specified at compile-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_segment.cpp
+ * Output: \verbinclude MatrixBase_template_int_segment.out
+ *
+ * \sa class Block
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename FixedSegmentReturnType<N>::Type segment(Index start, Index n = N)
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return typename FixedSegmentReturnType<N>::Type(derived(), start, n);
+}
+
+/** This is the const version of segment<int>(Index).*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstFixedSegmentReturnType<N>::Type segment(Index start, Index n = N) const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return typename ConstFixedSegmentReturnType<N>::Type(derived(), start, n);
+}
+
+/** \returns a fixed-size expression of the first coefficients of *this.
+ *
+ * \only_for_vectors
+ *
+ * \tparam N the number of coefficients in the segment as specified at compile-time
+ * \param n the number of coefficients in the segment as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_start.cpp
+ * Output: \verbinclude MatrixBase_template_int_start.out
+ *
+ * \sa class Block
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename FixedSegmentReturnType<N>::Type head(Index n = N)
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return typename FixedSegmentReturnType<N>::Type(derived(), 0, n);
+}
+
+/** This is the const version of head<int>().*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstFixedSegmentReturnType<N>::Type head(Index n = N) const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return typename ConstFixedSegmentReturnType<N>::Type(derived(), 0, n);
+}
+
+/** \returns a fixed-size expression of the last coefficients of *this.
+ *
+ * \only_for_vectors
+ *
+ * \tparam N the number of coefficients in the segment as specified at compile-time
+ * \param n the number of coefficients in the segment as specified at run-time
+ *
+ * The compile-time and run-time information should not contradict. In other words,
+ * \a n should equal \a N unless \a N is \a Dynamic.
+ *
+ * Example: \include MatrixBase_template_int_end.cpp
+ * Output: \verbinclude MatrixBase_template_int_end.out
+ *
+ * \sa class Block
+ */
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename FixedSegmentReturnType<N>::Type tail(Index n = N)
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return typename FixedSegmentReturnType<N>::Type(derived(), size() - n);
+}
+
+/** This is the const version of tail<int>.*/
+template<int N>
+EIGEN_DEVICE_FUNC
+inline typename ConstFixedSegmentReturnType<N>::Type tail(Index n = N) const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived)
+ return typename ConstFixedSegmentReturnType<N>::Type(derived(), size() - n);
+}
diff --git a/third_party/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h b/third_party/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h
new file mode 100644
index 0000000000..a8fa287c90
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/CommonCwiseBinaryOps.h
@@ -0,0 +1,47 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+// This file is a base class plugin containing common coefficient wise functions.
+
+/** \returns an expression of the difference of \c *this and \a other
+ *
+ * \note If you want to substract a given scalar from all coefficients, see Cwise::operator-().
+ *
+ * \sa class CwiseBinaryOp, operator-=()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator-,internal::scalar_difference_op)
+
+/** \returns an expression of the sum of \c *this and \a other
+ *
+ * \note If you want to add a given scalar to all coefficients, see Cwise::operator+().
+ *
+ * \sa class CwiseBinaryOp, operator+=()
+ */
+EIGEN_MAKE_CWISE_BINARY_OP(operator+,internal::scalar_sum_op)
+
+/** \returns an expression of a custom coefficient-wise operator \a func of *this and \a other
+ *
+ * The template parameter \a CustomBinaryOp is the type of the functor
+ * of the custom operator (see class CwiseBinaryOp for an example)
+ *
+ * Here is an example illustrating the use of custom functors:
+ * \include class_CwiseBinaryOp.cpp
+ * Output: \verbinclude class_CwiseBinaryOp.out
+ *
+ * \sa class CwiseBinaryOp, operator+(), operator-(), cwiseProduct()
+ */
+template<typename CustomBinaryOp, typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<CustomBinaryOp, const Derived, const OtherDerived>
+binaryExpr(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other, const CustomBinaryOp& func = CustomBinaryOp()) const
+{
+ return CwiseBinaryOp<CustomBinaryOp, const Derived, const OtherDerived>(derived(), other.derived(), func);
+}
+
diff --git a/third_party/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h b/third_party/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h
new file mode 100644
index 0000000000..aa20215745
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/CommonCwiseUnaryOps.h
@@ -0,0 +1,201 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+// This file is a base class plugin containing common coefficient wise functions.
+
+#ifndef EIGEN_PARSED_BY_DOXYGEN
+
+/** \internal Represents a scalar multiple of an expression */
+typedef CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, const Derived> ScalarMultipleReturnType;
+/** \internal Represents a quotient of an expression by a scalar*/
+typedef CwiseUnaryOp<internal::scalar_quotient1_op<Scalar>, const Derived> ScalarQuotient1ReturnType;
+/** \internal the return type of conjugate() */
+typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
+ const CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>, const Derived>,
+ const Derived&
+ >::type ConjugateReturnType;
+/** \internal the return type of real() const */
+typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
+ const CwiseUnaryOp<internal::scalar_real_op<Scalar>, const Derived>,
+ const Derived&
+ >::type RealReturnType;
+/** \internal the return type of real() */
+typedef typename internal::conditional<NumTraits<Scalar>::IsComplex,
+ CwiseUnaryView<internal::scalar_real_ref_op<Scalar>, Derived>,
+ Derived&
+ >::type NonConstRealReturnType;
+/** \internal the return type of imag() const */
+typedef CwiseUnaryOp<internal::scalar_imag_op<Scalar>, const Derived> ImagReturnType;
+/** \internal the return type of imag() */
+typedef CwiseUnaryView<internal::scalar_imag_ref_op<Scalar>, Derived> NonConstImagReturnType;
+
+#endif // not EIGEN_PARSED_BY_DOXYGEN
+
+/** \returns an expression of the opposite of \c *this
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_opposite_op<typename internal::traits<Derived>::Scalar>, const Derived>
+operator-() const { return derived(); }
+
+
+/** \returns an expression of \c *this scaled by the scalar factor \a scalar */
+EIGEN_DEVICE_FUNC
+inline const ScalarMultipleReturnType
+operator*(const Scalar& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_multiple_op<Scalar>, const Derived>
+ (derived(), internal::scalar_multiple_op<Scalar>(scalar));
+}
+
+#ifdef EIGEN_PARSED_BY_DOXYGEN
+const ScalarMultipleReturnType operator*(const RealScalar& scalar) const;
+#endif
+
+/** \returns an expression of \c *this divided by the scalar value \a scalar */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_quotient1_op<typename internal::traits<Derived>::Scalar>, const Derived>
+operator/(const Scalar& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_quotient1_op<Scalar>, const Derived>
+ (derived(), internal::scalar_quotient1_op<Scalar>(scalar));
+}
+
+/** Overloaded for efficient real matrix times complex scalar value */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived>
+operator*(const std::complex<Scalar>& scalar) const
+{
+ return CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived>
+ (*static_cast<const Derived*>(this), internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >(scalar));
+}
+
+EIGEN_DEVICE_FUNC
+inline friend const ScalarMultipleReturnType
+operator*(const Scalar& scalar, const StorageBaseType& matrix)
+{ return matrix*scalar; }
+
+EIGEN_DEVICE_FUNC
+inline friend const CwiseUnaryOp<internal::scalar_multiple2_op<Scalar,std::complex<Scalar> >, const Derived>
+operator*(const std::complex<Scalar>& scalar, const StorageBaseType& matrix)
+{ return matrix*scalar; }
+
+/** \returns an expression of *this with the \a Scalar type casted to
+ * \a NewScalar.
+ *
+ * The template parameter \a NewScalar is the type we are casting the scalars to.
+ *
+ * \sa class CwiseUnaryOp
+ */
+template<typename NewType>
+EIGEN_DEVICE_FUNC
+typename internal::cast_return_type<Derived,const CwiseUnaryOp<internal::scalar_cast_op<typename internal::traits<Derived>::Scalar, NewType>, const Derived> >::type
+cast() const
+{
+ return derived();
+}
+
+/** \returns an expression of *this with the \a Scalar type converted to
+ * \a NewScalar using the custom conversion functor \a ConvertOp.
+ *
+ * The template parameter \a NewType is the type we are casting the scalars to.
+ * The template parameter \a ConvertOp is the conversion functor.
+ *
+ * \sa class CwiseUnaryOp
+ */
+template<typename NewType, typename ConvertOp>
+typename internal::cast_return_type<Derived,const CwiseUnaryOp<internal::scalar_convert_op<typename internal::traits<Derived>::Scalar, NewType, ConvertOp>, const Derived> >::type
+convert() const
+{
+ return derived();
+}
+
+/** \returns an expression of the complex conjugate of \c *this.
+ *
+ * \sa adjoint() */
+EIGEN_DEVICE_FUNC
+inline ConjugateReturnType
+conjugate() const
+{
+ return ConjugateReturnType(derived());
+}
+
+/** \returns a read-only expression of the real part of \c *this.
+ *
+ * \sa imag() */
+EIGEN_DEVICE_FUNC
+inline RealReturnType
+real() const { return derived(); }
+
+/** \returns an read-only expression of the imaginary part of \c *this.
+ *
+ * \sa real() */
+EIGEN_DEVICE_FUNC
+inline const ImagReturnType
+imag() const { return derived(); }
+
+/** \brief Apply a unary operator coefficient-wise
+ * \param[in] func Functor implementing the unary operator
+ * \tparam CustomUnaryOp Type of \a func
+ * \returns An expression of a custom coefficient-wise unary operator \a func of *this
+ *
+ * The function \c ptr_fun() from the C++ standard library can be used to make functors out of normal functions.
+ *
+ * Example:
+ * \include class_CwiseUnaryOp_ptrfun.cpp
+ * Output: \verbinclude class_CwiseUnaryOp_ptrfun.out
+ *
+ * Genuine functors allow for more possibilities, for instance it may contain a state.
+ *
+ * Example:
+ * \include class_CwiseUnaryOp.cpp
+ * Output: \verbinclude class_CwiseUnaryOp.out
+ *
+ * \sa class CwiseUnaryOp, class CwiseBinaryOp
+ */
+template<typename CustomUnaryOp>
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<CustomUnaryOp, const Derived>
+unaryExpr(const CustomUnaryOp& func = CustomUnaryOp()) const
+{
+ return CwiseUnaryOp<CustomUnaryOp, const Derived>(derived(), func);
+}
+
+/** \returns an expression of a custom coefficient-wise unary operator \a func of *this
+ *
+ * The template parameter \a CustomUnaryOp is the type of the functor
+ * of the custom unary operator.
+ *
+ * Example:
+ * \include class_CwiseUnaryOp.cpp
+ * Output: \verbinclude class_CwiseUnaryOp.out
+ *
+ * \sa class CwiseUnaryOp, class CwiseBinaryOp
+ */
+template<typename CustomViewOp>
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryView<CustomViewOp, const Derived>
+unaryViewExpr(const CustomViewOp& func = CustomViewOp()) const
+{
+ return CwiseUnaryView<CustomViewOp, const Derived>(derived(), func);
+}
+
+/** \returns a non const expression of the real part of \c *this.
+ *
+ * \sa imag() */
+EIGEN_DEVICE_FUNC
+inline NonConstRealReturnType
+real() { return derived(); }
+
+/** \returns a non const expression of the imaginary part of \c *this.
+ *
+ * \sa real() */
+EIGEN_DEVICE_FUNC
+inline NonConstImagReturnType
+imag() { return derived(); }
diff --git a/third_party/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h b/third_party/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
new file mode 100644
index 0000000000..b9582a5a06
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/MatrixCwiseBinaryOps.h
@@ -0,0 +1,134 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+// This file is a base class plugin containing matrix specifics coefficient wise functions.
+
+/** \returns an expression of the Schur product (coefficient wise product) of *this and \a other
+ *
+ * Example: \include MatrixBase_cwiseProduct.cpp
+ * Output: \verbinclude MatrixBase_cwiseProduct.out
+ *
+ * \sa class CwiseBinaryOp, cwiseAbs2
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const EIGEN_CWISE_PRODUCT_RETURN_TYPE(Derived,OtherDerived)
+cwiseProduct(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return EIGEN_CWISE_PRODUCT_RETURN_TYPE(Derived,OtherDerived)(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient-wise == operator of *this and \a other
+ *
+ * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
+ * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
+ * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
+ * isMuchSmallerThan().
+ *
+ * Example: \include MatrixBase_cwiseEqual.cpp
+ * Output: \verbinclude MatrixBase_cwiseEqual.out
+ *
+ * \sa cwiseNotEqual(), isApprox(), isMuchSmallerThan()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+inline const CwiseBinaryOp<std::equal_to<Scalar>, const Derived, const OtherDerived>
+cwiseEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return CwiseBinaryOp<std::equal_to<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient-wise != operator of *this and \a other
+ *
+ * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
+ * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
+ * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
+ * isMuchSmallerThan().
+ *
+ * Example: \include MatrixBase_cwiseNotEqual.cpp
+ * Output: \verbinclude MatrixBase_cwiseNotEqual.out
+ *
+ * \sa cwiseEqual(), isApprox(), isMuchSmallerThan()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+inline const CwiseBinaryOp<std::not_equal_to<Scalar>, const Derived, const OtherDerived>
+cwiseNotEqual(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return CwiseBinaryOp<std::not_equal_to<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient-wise min of *this and \a other
+ *
+ * Example: \include MatrixBase_cwiseMin.cpp
+ * Output: \verbinclude MatrixBase_cwiseMin.out
+ *
+ * \sa class CwiseBinaryOp, max()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const OtherDerived>
+cwiseMin(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient-wise min of *this and scalar \a other
+ *
+ * \sa class CwiseBinaryOp, min()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_min_op<Scalar>, const Derived, const ConstantReturnType>
+cwiseMin(const Scalar &other) const
+{
+ return cwiseMin(Derived::Constant(rows(), cols(), other));
+}
+
+/** \returns an expression of the coefficient-wise max of *this and \a other
+ *
+ * Example: \include MatrixBase_cwiseMax.cpp
+ * Output: \verbinclude MatrixBase_cwiseMax.out
+ *
+ * \sa class CwiseBinaryOp, min()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const OtherDerived>
+cwiseMax(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
+}
+
+/** \returns an expression of the coefficient-wise max of *this and scalar \a other
+ *
+ * \sa class CwiseBinaryOp, min()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_max_op<Scalar>, const Derived, const ConstantReturnType>
+cwiseMax(const Scalar &other) const
+{
+ return cwiseMax(Derived::Constant(rows(), cols(), other));
+}
+
+
+/** \returns an expression of the coefficient-wise quotient of *this and \a other
+ *
+ * Example: \include MatrixBase_cwiseQuotient.cpp
+ * Output: \verbinclude MatrixBase_cwiseQuotient.out
+ *
+ * \sa class CwiseBinaryOp, cwiseProduct(), cwiseInverse()
+ */
+template<typename OtherDerived>
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>
+cwiseQuotient(const EIGEN_CURRENT_STORAGE_BASE_CLASS<OtherDerived> &other) const
+{
+ return CwiseBinaryOp<internal::scalar_quotient_op<Scalar>, const Derived, const OtherDerived>(derived(), other.derived());
+}
diff --git a/third_party/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h b/third_party/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h
new file mode 100644
index 0000000000..1bb15f862d
--- /dev/null
+++ b/third_party/eigen3/Eigen/src/plugins/MatrixCwiseUnaryOps.h
@@ -0,0 +1,72 @@
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+// This file is a base class plugin containing matrix specifics coefficient wise functions.
+
+/** \returns an expression of the coefficient-wise absolute value of \c *this
+ *
+ * Example: \include MatrixBase_cwiseAbs.cpp
+ * Output: \verbinclude MatrixBase_cwiseAbs.out
+ *
+ * \sa cwiseAbs2()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs_op<Scalar>, const Derived>
+cwiseAbs() const { return derived(); }
+
+/** \returns an expression of the coefficient-wise squared absolute value of \c *this
+ *
+ * Example: \include MatrixBase_cwiseAbs2.cpp
+ * Output: \verbinclude MatrixBase_cwiseAbs2.out
+ *
+ * \sa cwiseAbs()
+ */
+EIGEN_DEVICE_FUNC
+EIGEN_STRONG_INLINE const CwiseUnaryOp<internal::scalar_abs2_op<Scalar>, const Derived>
+cwiseAbs2() const { return derived(); }
+
+/** \returns an expression of the coefficient-wise square root of *this.
+ *
+ * Example: \include MatrixBase_cwiseSqrt.cpp
+ * Output: \verbinclude MatrixBase_cwiseSqrt.out
+ *
+ * \sa cwisePow(), cwiseSquare()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_sqrt_op<Scalar>, const Derived>
+cwiseSqrt() const { return derived(); }
+
+/** \returns an expression of the coefficient-wise inverse of *this.
+ *
+ * Example: \include MatrixBase_cwiseInverse.cpp
+ * Output: \verbinclude MatrixBase_cwiseInverse.out
+ *
+ * \sa cwiseProduct()
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<internal::scalar_inverse_op<Scalar>, const Derived>
+cwiseInverse() const { return derived(); }
+
+/** \returns an expression of the coefficient-wise == operator of \c *this and a scalar \a s
+ *
+ * \warning this performs an exact comparison, which is generally a bad idea with floating-point types.
+ * In order to check for equality between two vectors or matrices with floating-point coefficients, it is
+ * generally a far better idea to use a fuzzy comparison as provided by isApprox() and
+ * isMuchSmallerThan().
+ *
+ * \sa cwiseEqual(const MatrixBase<OtherDerived> &) const
+ */
+EIGEN_DEVICE_FUNC
+inline const CwiseUnaryOp<std::binder1st<std::equal_to<Scalar> >, const Derived>
+cwiseEqual(const Scalar& s) const
+{
+ return CwiseUnaryOp<std::binder1st<std::equal_to<Scalar> >,const Derived>
+ (derived(), std::bind1st(std::equal_to<Scalar>(), s));
+}