Fix doxy and misc. typos

Found via `codespell -q 3 -I ../eigen-word-whitelist.txt`
---
 Eigen/src/Core/ProductEvaluators.h |  4 ++--
 Eigen/src/Core/arch/GPU/Half.h     |  2 +-
 Eigen/src/Core/util/Memory.h       |  2 +-
 Eigen/src/Geometry/Hyperplane.h    |  2 +-
 Eigen/src/Geometry/Transform.h     |  2 +-
 Eigen/src/Geometry/Translation.h   | 12 ++++++------
 doc/PreprocessorDirectives.dox     |  2 +-
 doc/TutorialGeometry.dox           |  2 +-
 test/boostmultiprec.cpp            |  2 +-
 test/triangular.cpp                |  2 +-
 10 files changed, 16 insertions(+), 16 deletions(-)

Eigen/src/Core/ProductEvaluators.h

@@ -20,7 +20,7 @@ namespace internal {
 /** \internal
   * Evaluator of a product expression.
   * Since products require special treatments to handle all possible cases,
-  * we simply deffer the evaluation logic to a product_evaluator class
+  * we simply defer the evaluation logic to a product_evaluator class
   * which offers more partial specialization possibilities.
   * 
   * \sa class product_evaluator
@@ -128,7 +128,7 @@ protected:
   PlainObject m_result;
 };
 
-// The following three shortcuts are enabled only if the scalar types match excatly.
+// The following three shortcuts are enabled only if the scalar types match exactly.
 // TODO: we could enable them for different scalar types when the product is not vectorized.
 
 // Dense = Product

Eigen/src/Core/arch/GPU/Half.h

@@ -60,7 +60,7 @@ struct __half_raw {
  #if defined(EIGEN_HAS_OLD_HIP_FP16)
 // Make a __half_raw definition that is
 // ++ compatible with that of Eigen and
-// ++ add a implcit conversion to the native __half of the old HIP implementation.
+// ++ add an implicit conversion to the native __half of the old HIP implementation.
 //
 // Keeping ".x" as "unsigned short" keeps the interface the same between the Eigen and HIP implementation.
 //

Eigen/src/Core/util/Memory.h

@@ -177,7 +177,7 @@ EIGEN_DEVICE_FUNC inline void* aligned_malloc(std::size_t size)
     #endif
 
     #if EIGEN_DEFAULT_ALIGN_BYTES==16
-    eigen_assert((size<16 || (std::size_t(result)%16)==0) && "System's malloc returned an unaligned pointer. Compile with EIGEN_MALLOC_ALREADY_ALIGNED=0 to fallback to handmade alignd memory allocator.");
+    eigen_assert((size<16 || (std::size_t(result)%16)==0) && "System's malloc returned an unaligned pointer. Compile with EIGEN_MALLOC_ALREADY_ALIGNED=0 to fallback to handmade aligned memory allocator.");
     #endif
   #else
     result = handmade_aligned_malloc(size);

Eigen/src/Geometry/Hyperplane.h

@@ -119,7 +119,7 @@ public:
     * If the dimension of the ambient space is greater than 2, then there isn't uniqueness,
     * so an arbitrary choice is made.
     */
-  // FIXME to be consitent with the rest this could be implemented as a static Through function ??
+  // FIXME to be consistent with the rest this could be implemented as a static Through function ??
   EIGEN_DEVICE_FUNC explicit Hyperplane(const ParametrizedLine<Scalar, AmbientDimAtCompileTime>& parametrized)
   {
     normal() = parametrized.direction().unitOrthogonal();

Eigen/src/Geometry/Transform.h

@@ -115,7 +115,7 @@ template<int Mode> struct transform_make_affine;
   * \end{array} \right) \f$
   *
   * Note that for a projective transformation the last row can be anything,
-  * and then the interpretation of different parts might be sightly different.
+  * and then the interpretation of different parts might be slightly different.
   *
   * However, unlike a plain matrix, the Transform class provides many features
   * simplifying both its assembly and usage. In particular, it can be composed

Eigen/src/Geometry/Translation.h

@@ -70,18 +70,18 @@ public:
   /** Constructs and initialize the translation transformation from a vector of translation coefficients */
   EIGEN_DEVICE_FUNC explicit inline Translation(const VectorType& vector) : m_coeffs(vector) {}
 
-  /** \brief Retruns the x-translation by value. **/
+  /** \brief Returns the x-translation by value. **/
   EIGEN_DEVICE_FUNC inline Scalar x() const { return m_coeffs.x(); }
-  /** \brief Retruns the y-translation by value. **/
+  /** \brief Returns the y-translation by value. **/
   EIGEN_DEVICE_FUNC inline Scalar y() const { return m_coeffs.y(); }
-  /** \brief Retruns the z-translation by value. **/
+  /** \brief Returns the z-translation by value. **/
   EIGEN_DEVICE_FUNC inline Scalar z() const { return m_coeffs.z(); }
 
-  /** \brief Retruns the x-translation as a reference. **/
+  /** \brief Returns the x-translation as a reference. **/
   EIGEN_DEVICE_FUNC inline Scalar& x() { return m_coeffs.x(); }
-  /** \brief Retruns the y-translation as a reference. **/
+  /** \brief Returns the y-translation as a reference. **/
   EIGEN_DEVICE_FUNC inline Scalar& y() { return m_coeffs.y(); }
-  /** \brief Retruns the z-translation as a reference. **/
+  /** \brief Returns the z-translation as a reference. **/
   EIGEN_DEVICE_FUNC inline Scalar& z() { return m_coeffs.z(); }
 
   EIGEN_DEVICE_FUNC const VectorType& vector() const { return m_coeffs; }

doc/PreprocessorDirectives.dox

@@ -66,7 +66,7 @@ functions by defining EIGEN_HAS_C99_MATH=1.
    Automatic detection disabled if EIGEN_MAX_CPP_VER<11.
  - \b EIGEN_HAS_CXX11_MATH - controls the implementation of some functions such as round, logp1, isinf, isnan, etc.
    Automatic detection disabled if EIGEN_MAX_CPP_VER<11.
- - \b EIGEN_HAS_RVALUE_REFERENCES - defines whetehr rvalue references are supported
+ - \b EIGEN_HAS_RVALUE_REFERENCES - defines whether rvalue references are supported
    Automatic detection disabled if EIGEN_MAX_CPP_VER<11.
  - \b EIGEN_HAS_STD_RESULT_OF - defines whether std::result_of is supported
    Automatic detection disabled if EIGEN_MAX_CPP_VER<11.

doc/TutorialGeometry.dox

@@ -111,7 +111,7 @@ rot3 = rot1.slerp(alpha,rot2);\endcode</td></tr>
 
 
 <a href="#" class="top">top</a>\section TutorialGeoTransform Affine transformations
-Generic affine transformations are represented by the Transform class which internaly
+Generic affine transformations are represented by the Transform class which internally
 is a (Dim+1)^2 matrix. In Eigen we have chosen to not distinghish between points and
 vectors such that all points are actually represented by displacement vectors from the
 origin ( \f$ \mathbf{p} \equiv \mathbf{p}-0 \f$ ). With that in mind, real points and

test/boostmultiprec.cpp

@@ -156,7 +156,7 @@ EIGEN_DECLARE_TEST(boostmultiprec)
   std::cout << "NumTraits<Real>::highest()         = " << NumTraits<Real>::highest() << std::endl;
   std::cout << "NumTraits<Real>::digits10()        = " << NumTraits<Real>::digits10() << std::endl;
 
-  // chekc stream output
+  // check stream output
   {
     Mat A(10,10);
     A.setRandom();

test/triangular.cpp

@@ -68,7 +68,7 @@ template<typename MatrixType> void triangular_square(const MatrixType& m)
     while (numext::abs2(m1(i,i))<RealScalar(1e-1)) m1(i,i) = internal::random<Scalar>();
 
   Transpose<MatrixType> trm4(m4);
-  // test back and forward subsitution with a vector as the rhs
+  // test back and forward substitution with a vector as the rhs
   m3 = m1.template triangularView<Upper>();
   VERIFY(v2.isApprox(m3.adjoint() * (m1.adjoint().template triangularView<Lower>().solve(v2)), largerEps));
   m3 = m1.template triangularView<Lower>();