reorganisation of headers, commit47b935fc42cbf2ca992d8a270bc1b0fc97d1f6bc

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src/Core/Numeric.h

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+
+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2006-2007 Benoit Jacob <jacob@math.jussieu.fr>
+//
+// Eigen is free software; you can redistribute it and/or modify it under the
+// terms of the GNU General Public License as published by the Free Software
+// Foundation; either version 2 or (at your option) any later version.
+//
+// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
+// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+// FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
+// details.
+//
+// You should have received a copy of the GNU General Public License along
+// with Eigen; if not, write to the Free Software Foundation, Inc., 51
+// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
+//
+// As a special exception, if other files instantiate templates or use macros
+// or functions from this file, or you compile this file and link it
+// with other works to produce a work based on this file, this file does not
+// by itself cause the resulting work to be covered by the GNU General Public
+// License. This exception does not invalidate any other reasons why a work
+// based on this file might be covered by the GNU General Public License.
+
+#ifndef EI_NUMERIC_H
+#define EI_NUMERIC_H
+
+template<typename T> struct EiTraits;
+
+template<> struct EiTraits<int>
+{
+  typedef int Real;
+  typedef double FloatingPoint;
+  typedef double RealFloatingPoint;
+  
+  static const bool IsComplex = false;
+  static const bool HasFloatingPoint = false;
+  
+  static int epsilon() { return 0; }
+  static int real(const int& x) { return x; }
+  static int imag(const int& x) { EI_UNUSED(x); return 0; }
+  static int conj(const int& x) { return x; }
+  static double sqrt(const int& x) { return std::sqrt(static_cast<double>(x)); }
+  static int abs(const int& x) { return std::abs(x); }
+  static int abs2(const int& x) { return x*x; }
+  static int random()
+  {
+    // "rand()%21" would be bad. always use the high-order bits, not the low-order bits.
+    // note: here (gcc 4.1) static_cast<int> seems to round the nearest int.
+    // I don't know if that's part of the standard.
+    return -10 + static_cast<int>(rand() / ((RAND_MAX + 1.0)/20.0));
+  }
+};
+
+template<> struct EiTraits<float>
+{
+  typedef float Real;
+  typedef float FloatingPoint;
+  typedef float RealFloatingPoint;
+  
+  static const bool IsComplex = false;
+  static const bool HasFloatingPoint = true;
+  
+  static float epsilon() { return 1e-5f; }
+  static float real(const float& x) { return x; }
+  static float imag(const float& x) { EI_UNUSED(x); return 0; }
+  static float conj(const float& x) { return x; }
+  static float sqrt(const float& x) { return std::sqrt(x); }
+  static float abs(const float& x) { return std::abs(x); }
+  static float abs2(const float& x) { return x*x; }
+  static float random()
+  {
+    return rand() / (RAND_MAX/20.0f) - 10.0f;
+  }
+};
+
+template<> struct EiTraits<double>
+{
+  typedef double Real;
+  typedef double FloatingPoint;
+  typedef double RealFloatingPoint;
+  
+  static const bool IsComplex = false;
+  static const bool HasFloatingPoint = true;
+  
+  static double epsilon() { return 1e-11; }
+  static double real(const double& x) { return x; }
+  static double imag(const double& x) { EI_UNUSED(x); return 0; }
+  static double conj(const double& x) { return x; }
+  static double sqrt(const double& x) { return std::sqrt(x); }
+  static double abs(const double& x) { return std::abs(x); }
+  static double abs2(const double& x) { return x*x; }
+  static double random()
+  {
+    return rand() / (RAND_MAX/20.0) - 10.0;
+  }
+};
+
+template<typename _Real> struct EiTraits<std::complex<_Real> >
+{
+  typedef _Real Real;
+  typedef std::complex<Real> Complex;
+  typedef std::complex<double> FloatingPoint;
+  typedef typename EiTraits<Real>::FloatingPoint RealFloatingPoint;
+  
+  static const bool IsComplex = true;
+  static const bool HasFloatingPoint = EiTraits<Real>::HasFloatingPoint;
+  
+  static Real epsilon() { return EiTraits<Real>::epsilon(); }
+  static Real real(const Complex& x) { return std::real(x); }
+  static Real imag(const Complex& x) { return std::imag(x); }
+  static Complex conj(const Complex& x) { return std::conj(x); }
+  static FloatingPoint sqrt(const Complex& x)
+  { return std::sqrt(static_cast<FloatingPoint>(x)); }
+  static RealFloatingPoint abs(const Complex& x)
+  { return std::abs(static_cast<FloatingPoint>(x)); }
+  static Real abs2(const Complex& x)
+  { return std::real(x) * std::real(x) + std::imag(x) * std::imag(x); }
+  static Complex random()
+  {
+    return Complex(EiTraits<Real>::random(), EiTraits<Real>::random());
+  }
+};
+
+template<typename T> typename EiTraits<T>::Real EiReal(const T& x)
+{ return EiTraits<T>::real(x); }
+
+template<typename T> typename EiTraits<T>::Real EiImag(const T& x)
+{ return EiTraits<T>::imag(x); }
+
+template<typename T> T EiConj(const T& x)
+{ return EiTraits<T>::conj(x); }
+
+template<typename T> typename EiTraits<T>::FloatingPoint EiSqrt(const T& x)
+{ return EiTraits<T>::sqrt(x); }
+
+template<typename T> typename EiTraits<T>::RealFloatingPoint EiAbs(const T& x)
+{ return EiTraits<T>::abs(x); }
+
+template<typename T> typename EiTraits<T>::Real EiAbs2(const T& x)
+{ return EiTraits<T>::abs2(x); }
+
+template<typename T> T EiRandom()
+{ return EiTraits<T>::random(); }
+
+template<typename T> bool EiNegligible(const T& a, const T& b)
+{
+  return(EiAbs(a) <= EiAbs(b) * EiTraits<T>::epsilon());
+}
+
+template<typename T> bool EiApprox(const T& a, const T& b)
+{
+  if(EiTraits<T>::IsFloat)
+    return(EiAbs(a - b) <= std::min(EiAbs(a), EiAbs(b)) * EiTraits<T>::epsilon());
+  else
+    return(a == b);
+}
+
+template<typename T> bool EiLessThanOrApprox(const T& a, const T& b)
+{
+  if(EiTraits<T>::IsFloat)
+    return(a < b || EiApprox(a, b));
+  else
+    return(a <= b);
+}
+
+#endif // EI_NUMERIC_H