Fix some typos found

Eigen/src/Core/MathFunctionsImpl.h

@@ -23,7 +23,7 @@ namespace internal {
     outside of which tanh(x) = +/-1 in single precision. The input is clamped
     to the range [-c, c]. The value c is chosen as the smallest value where
     the approximation evaluates to exactly 1. In the reange [-0.0004, 0.0004]
-    the approxmation tanh(x) ~= x is used for better accuracy as x tends to zero.
+    the approximation tanh(x) ~= x is used for better accuracy as x tends to zero.
 
     This implementation works on both scalars and packets.
 */

Eigen/src/Core/PartialReduxEvaluator.h

@@ -31,7 +31,7 @@ namespace internal {
 *    some (optional) processing of the outcome, e.g., division by n for mean.
 *
 * For the vectorized path let's observe that the packet-size and outer-unrolling
-* are both decided by the assignement logic. So all we have to do is to decide
+* are both decided by the assignment logic. So all we have to do is to decide
 * on the inner unrolling.
 *
 * For the unrolling, we can reuse "internal::redux_vec_unroller" from Redux.h,

Eigen/src/Core/VectorwiseOp.h

@@ -596,7 +596,7 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
       return m_matrix += extendedTo(other.derived());
     }
 
-    /** Substracts the vector \a other to each subvector of \c *this */
+    /** Subtracts the vector \a other to each subvector of \c *this */
     template<typename OtherDerived>
     EIGEN_DEVICE_FUNC
     ExpressionType& operator-=(const DenseBase<OtherDerived>& other)
@@ -606,7 +606,7 @@ template<typename ExpressionType, int Direction> class VectorwiseOp
       return m_matrix -= extendedTo(other.derived());
     }
 
-    /** Multiples each subvector of \c *this by the vector \a other */
+    /** Multiplies each subvector of \c *this by the vector \a other */
     template<typename OtherDerived>
     EIGEN_DEVICE_FUNC
     ExpressionType& operator*=(const DenseBase<OtherDerived>& other)

Eigen/src/Core/arch/AVX512/PacketMath.h

@@ -2234,7 +2234,7 @@ EIGEN_STRONG_INLINE Packet16bf F32ToBf16(const Packet16f& a) {
 
 #if defined(EIGEN_VECTORIZE_AVX512BF16) && EIGEN_GNUC_AT_LEAST(10, 1)
   // Since GCC 10.1 supports avx512bf16 and C style explicit cast
-  // (C++ static_cast is not supported yet), do converion via intrinsic
+  // (C++ static_cast is not supported yet), do conversion via intrinsic
   // and register path for performance.
   r = (__m256i)(_mm512_cvtneps_pbh(a));
 

Eigen/src/Core/arch/Default/GenericPacketMathFunctions.h

@@ -572,7 +572,7 @@ inline float trig_reduce_huge (float xf, int *quadrant)
   using Eigen::numext::uint64_t;
 
   const double pio2_62 = 3.4061215800865545e-19;    // pi/2 * 2^-62
-  const uint64_t zero_dot_five = uint64_t(1) << 61; // 0.5 in 2.62-bit fixed-point foramt
+  const uint64_t zero_dot_five = uint64_t(1) << 61; // 0.5 in 2.62-bit fixed-point format
 
   // 192 bits of 2/pi for Payne-Hanek reduction
   // Bits are introduced by packet of 8 to enable aligned reads.

Eigen/src/Core/arch/NEON/PacketMath.h

@@ -3461,7 +3461,7 @@ EIGEN_ALWAYS_INLINE void zip_in_place<Packet4bf>(Packet4bf& p1, Packet4bf& p2) {
 
 EIGEN_STRONG_INLINE Packet4bf F32ToBf16(const Packet4f& p)
 {
-  // See the scalar implemention in BFloat16.h for a comprehensible explanation
+  // See the scalar implementation in BFloat16.h for a comprehensible explanation
   // of this fast rounding algorithm
   Packet4ui input = reinterpret_cast<Packet4ui>(p);
 

Eigen/src/Core/util/Macros.h

@@ -624,7 +624,7 @@
 #define EIGEN_CPLUSPLUS 0
 #endif
 
-// The macro EIGEN_COMP_CXXVER defines the c++ verson expected by the compiler.
+// The macro EIGEN_COMP_CXXVER defines the c++ version expected by the compiler.
 // For instance, if compiling with gcc and -std=c++17, then EIGEN_COMP_CXXVER
 // is defined to 17.
 #if EIGEN_CPLUSPLUS > 201703L

Eigen/src/Core/util/ReenableStupidWarnings.h

@@ -1,5 +1,5 @@
 #ifdef EIGEN_WARNINGS_DISABLED_2
-// "DisableStupidWarnings.h" was included twice recursively: Do not reenable warnings yet!
+// "DisableStupidWarnings.h" was included twice recursively: Do not re-enable warnings yet!
 #  undef EIGEN_WARNINGS_DISABLED_2
 
 #elif defined(EIGEN_WARNINGS_DISABLED)
@@ -17,7 +17,7 @@
   #endif
 
   #if defined __NVCC__
-//    Don't reenable the diagnostic messages, as it turns out these messages need
+//    Don't re-enable the diagnostic messages, as it turns out these messages need
 //    to be disabled at the point of the template instantiation (i.e the user code)
 //    otherwise they'll be triggered by nvcc.
 //    #pragma diag_default code_is_unreachable