Complete rework of global math functions and NumTraits.

* Now completely generic so all standard integer types (like char...) are supported.
** add unit test for that (integer_types).
* NumTraits does no longer inherit numeric_limits
* All math functions are now templated
* Better guard (static asserts) against using certain math functions on integer types.

3 files changed, 10 insertions, 17 deletions

diff --git a/unsupported/Eigen/AdolcForward b/unsupported/Eigen/AdolcForward
index 70aa47815..8f1a00d20 100644
--- a/unsupported/Eigen/AdolcForward
+++ b/unsupported/Eigen/AdolcForward
@@ -103,10 +103,12 @@ namespace Eigen {
 template<> struct NumTraits<adtl::adouble>
 {
   typedef adtl::adouble Real;
-  typedef adtl::adouble FloatingPoint;
+  typedef adtl::adouble NonInteger;
+  typedef adtl::adouble Nested;
   enum {
     IsComplex = 0,
-    HasFloatingPoint = 1,
+    IsInteger = 0,
+    IsSigned = 1,
     ReadCost = 1,
     AddCost = 1,
     MulCost = 1
diff --git a/unsupported/Eigen/src/AutoDiff/AutoDiffScalar.h b/unsupported/Eigen/src/AutoDiff/AutoDiffScalar.h
index 4b7331035..35db65ff0 100644
--- a/unsupported/Eigen/src/AutoDiff/AutoDiffScalar.h
+++ b/unsupported/Eigen/src/AutoDiff/AutoDiffScalar.h
@@ -552,19 +552,10 @@ ei_pow(const AutoDiffScalar<DerType>& x, typename ei_traits<DerType>::Scalar y)
 #undef EIGEN_AUTODIFF_DECLARE_GLOBAL_UNARY
 
 template<typename DerType> struct NumTraits<AutoDiffScalar<DerType> >
+  : NumTraits< typename NumTraits<typename DerType::Scalar>::Real >
 {
-  typedef typename NumTraits<typename DerType::Scalar>::Real Real;
-  typedef AutoDiffScalar<DerType> FloatingPoint;
+  typedef AutoDiffScalar<DerType> NonInteger;
   typedef AutoDiffScalar<DerType>& Nested;
-  enum {
-    IsComplex = 0,
-    HasFloatingPoint = 1,
-    ReadCost = 1,
-    AddCost = 1,
-    MulCost = 1
-  };
-  inline static Real epsilon() { return std::numeric_limits<Real>::epsilon(); }
-  inline static Real dummy_precision() { return NumTraits<Real>::dummy_precision(); }
 };
 
 }
diff --git a/unsupported/Eigen/src/Polynomials/PolynomialSolver.h b/unsupported/Eigen/src/Polynomials/PolynomialSolver.h
index 49a5ffffa..207836508 100644
--- a/unsupported/Eigen/src/Polynomials/PolynomialSolver.h
+++ b/unsupported/Eigen/src/Polynomials/PolynomialSolver.h
@@ -131,7 +131,7 @@ class PolynomialSolverBase
     {
       hasArealRoot = false;
       int res=0;
-      RealScalar abs2;
+      RealScalar abs2(0);
 
       for( int i=0; i<m_roots.size(); ++i )
       {
@@ -159,7 +159,7 @@ class PolynomialSolverBase
             res = i; }
         }
       }
-      return m_roots[res].real();
+      return ei_real_ref(m_roots[res]);
     }
 
 
@@ -171,7 +171,7 @@ class PolynomialSolverBase
     {
       hasArealRoot = false;
       int res=0;
-      RealScalar val;
+      RealScalar val(0);
 
       for( int i=0; i<m_roots.size(); ++i )
       {
@@ -199,7 +199,7 @@ class PolynomialSolverBase
             res = i; }
         }
       }
-      return m_roots[res].real();
+      return ei_real_ref(m_roots[res]);
     }
 
   public: