comparison armadillo-3.900.4/include/armadillo_bits/constants.hpp @ 49:1ec0e2823891

Switch to using subrepo copies of qm-dsp, nnls-chroma, vamp-plugin-sdk; update Armadillo version; assume build without external BLAS/LAPACK

+// Copyright (C) 2008-2012 NICTA (www.nicta.com.au)
+// Copyright (C) 2008-2012 Conrad Sanderson
+// 
+// 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/.
+
+
+//! \addtogroup constants
+//! @{
+
+
+namespace priv
+  {
+  class Datum_helper
+    {
+    public:
+    
+    template<typename eT>
+    static
+    typename arma_real_only<eT>::result
+    nan(typename arma_real_only<eT>::result* junk = 0)
+      {
+      arma_ignore(junk);
+      
+      if(std::numeric_limits<eT>::has_quiet_NaN == true)
+        {
+        return std::numeric_limits<eT>::quiet_NaN();
+        }
+      else
+        {
+        return eT(0);
+        }
+      }
+    
+    
+    template<typename eT>
+    static
+    typename arma_cx_only<eT>::result
+    nan(typename arma_cx_only<eT>::result* junk = 0)
+      {
+      arma_ignore(junk);
+      
+      typedef typename get_pod_type<eT>::result T;
+      
+      return eT( Datum_helper::nan<T>(), Datum_helper::nan<T>() );
+      }
+    
+    
+    template<typename eT>
+    static
+    typename arma_integral_only<eT>::result
+    nan(typename arma_integral_only<eT>::result* junk = 0)
+      {
+      arma_ignore(junk);
+      
+      return eT(0);
+      }
+    
+    
+    template<typename eT>
+    static
+    typename arma_real_only<eT>::result
+    inf(typename arma_real_only<eT>::result* junk = 0)
+      {
+      arma_ignore(junk);
+      
+      if(std::numeric_limits<eT>::has_infinity == true)
+        {
+        return std::numeric_limits<eT>::infinity();
+        }
+      else
+        {
+        return std::numeric_limits<eT>::max();
+        }
+      }
+    
+    
+    template<typename eT>
+    static
+    typename arma_cx_only<eT>::result
+    inf(typename arma_cx_only<eT>::result* junk = 0)
+      {
+      arma_ignore(junk);
+      
+      typedef typename get_pod_type<eT>::result T;
+      
+      return eT( Datum_helper::inf<T>(), Datum_helper::inf<T>() );
+      }
+    
+
+    template<typename eT>
+    static
+    typename arma_integral_only<eT>::result
+    inf(typename arma_integral_only<eT>::result* junk = 0)
+      {
+      arma_ignore(junk);
+      
+      return std::numeric_limits<eT>::max();
+      }
+    
+    };
+  }
+
+
+
+//! various constants.
+//! Physical constants taken from NIST and WolframAlpha on 2009-06-23
+//! http://physics.nist.gov/cuu/Constants
+//! http://www.wolframalpha.com
+//! See also http://en.wikipedia.org/wiki/Physical_constant
+
+
+template<typename eT>
+class Datum
+  {
+  public:
+  
+  static const eT pi;       //!< ratio of any circle's circumference to its diameter
+  static const eT e;        //!< base of the natural logarithm
+  static const eT euler;    //!< Euler's constant, aka Euler-Mascheroni constant
+  static const eT gratio;   //!< golden ratio
+  static const eT sqrt2;    //!< square root of 2
+  static const eT eps;      //!< the difference between 1 and the least value greater than 1 that is representable
+  static const eT log_min;  //!< log of the minimum representable value
+  static const eT log_max;  //!< log of the maximum representable value
+  static const eT nan;      //!< "not a number"
+  static const eT inf;      //!< infinity 
+
+  // 
+  
+  static const eT m_u;       //!< atomic mass constant (in kg)
+  static const eT N_A;       //!< Avogadro constant
+  static const eT k;         //!< Boltzmann constant (in joules per kelvin)
+  static const eT k_evk;     //!< Boltzmann constant (in eV/K)
+  static const eT a_0;       //!< Bohr radius (in meters)
+  static const eT mu_B;      //!< Bohr magneton
+  static const eT Z_0;       //!< characteristic impedance of vacuum (in ohms)
+  static const eT G_0;       //!< conductance quantum (in siemens)
+  static const eT k_e;       //!< Coulomb's constant (in meters per farad)
+  static const eT eps_0;     //!< electric constant (in farads per meter)
+  static const eT m_e;       //!< electron mass (in kg)
+  static const eT eV;        //!< electron volt (in joules)
+  static const eT ec;        //!< elementary charge (in coulombs)
+  static const eT F;         //!< Faraday constant (in coulombs)
+  static const eT alpha;     //!< fine-structure constant
+  static const eT alpha_inv; //!< inverse fine-structure constant
+  static const eT K_J;       //!< Josephson constant
+  static const eT mu_0;      //!< magnetic constant (in henries per meter)
+  static const eT phi_0;     //!< magnetic flux quantum (in webers)
+  static const eT R;         //!< molar gas constant (in joules per mole kelvin)
+  static const eT G;         //!< Newtonian constant of gravitation (in newton square meters per kilogram squared)
+  static const eT h;         //!< Planck constant (in joule seconds)
+  static const eT h_bar;     //!< Planck constant over 2 pi, aka reduced Planck constant (in joule seconds)
+  static const eT m_p;       //!< proton mass (in kg)
+  static const eT R_inf;     //!< Rydberg constant (in reciprocal meters)
+  static const eT c_0;       //!< speed of light in vacuum (in meters per second)
+  static const eT sigma;     //!< Stefan-Boltzmann constant
+  static const eT R_k;       //!< von Klitzing constant (in ohms)
+  static const eT b;         //!< Wien wavelength displacement law constant
+  };
+
+
+// the long lengths of the constants are for future support of "long double"
+// and any smart compiler that does high-precision computation at compile-time
+  
+template<typename eT> const eT Datum<eT>::pi        = eT(3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679);
+template<typename eT> const eT Datum<eT>::e         = eT(2.7182818284590452353602874713526624977572470936999595749669676277240766303535475945713821785251664274);
+template<typename eT> const eT Datum<eT>::euler     = eT(0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495);
+template<typename eT> const eT Datum<eT>::gratio    = eT(1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374);
+template<typename eT> const eT Datum<eT>::sqrt2     = eT(1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727);
+template<typename eT> const eT Datum<eT>::eps       = std::numeric_limits<eT>::epsilon();
+template<typename eT> const eT Datum<eT>::log_min   = std::log(std::numeric_limits<eT>::min());
+template<typename eT> const eT Datum<eT>::log_max   = std::log(std::numeric_limits<eT>::max());
+template<typename eT> const eT Datum<eT>::nan       = priv::Datum_helper::nan<eT>();
+template<typename eT> const eT Datum<eT>::inf       = priv::Datum_helper::inf<eT>();
+
+template<typename eT> const eT Datum<eT>::m_u       = eT(1.660538782e-27);
+template<typename eT> const eT Datum<eT>::N_A       = eT(6.02214179e23);
+template<typename eT> const eT Datum<eT>::k         = eT(1.3806504e-23);
+template<typename eT> const eT Datum<eT>::k_evk     = eT(8.617343e-5);
+template<typename eT> const eT Datum<eT>::a_0       = eT(0.52917720859e-10);
+template<typename eT> const eT Datum<eT>::mu_B      = eT(927.400915e-26);
+template<typename eT> const eT Datum<eT>::Z_0       = eT(3.76730313461771e-2);
+template<typename eT> const eT Datum<eT>::G_0       = eT(7.7480917004e-5);
+template<typename eT> const eT Datum<eT>::k_e       = eT(8.9875517873681764e9);
+template<typename eT> const eT Datum<eT>::eps_0     = eT(8.85418781762039e-12);
+template<typename eT> const eT Datum<eT>::m_e       = eT(9.10938215e-31);
+template<typename eT> const eT Datum<eT>::eV        = eT(1.602176487e-19);
+template<typename eT> const eT Datum<eT>::ec        = eT(1.602176487e-19);
+template<typename eT> const eT Datum<eT>::F         = eT(96485.3399);
+template<typename eT> const eT Datum<eT>::alpha     = eT(7.2973525376e-3);
+template<typename eT> const eT Datum<eT>::alpha_inv = eT(137.035999679);
+template<typename eT> const eT Datum<eT>::K_J       = eT(483597.891e9);
+template<typename eT> const eT Datum<eT>::mu_0      = eT(1.25663706143592e-06);
+template<typename eT> const eT Datum<eT>::phi_0     = eT(2.067833667e-15);
+template<typename eT> const eT Datum<eT>::R         = eT(8.314472);
+template<typename eT> const eT Datum<eT>::G         = eT(6.67428e-11);
+template<typename eT> const eT Datum<eT>::h         = eT(6.62606896e-34);
+template<typename eT> const eT Datum<eT>::h_bar     = eT(1.054571628e-34);
+template<typename eT> const eT Datum<eT>::m_p       = eT(1.672621637e-27);
+template<typename eT> const eT Datum<eT>::R_inf     = eT(10973731.568527);
+template<typename eT> const eT Datum<eT>::c_0       = eT(299792458.0);
+template<typename eT> const eT Datum<eT>::sigma     = eT(5.670400e-8);
+template<typename eT> const eT Datum<eT>::R_k       = eT(25812.807557);
+template<typename eT> const eT Datum<eT>::b         = eT(2.8977685e-3);
+
+
+
+typedef Datum<float>  fdatum;
+typedef Datum<double> datum;
+
+
+
+
+namespace priv
+  {
+  
+  template<typename eT>
+  static
+  arma_inline
+  arma_hot
+  typename arma_real_only<eT>::result
+  most_neg(typename arma_real_only<eT>::result* junk = 0)
+    {
+    arma_ignore(junk);
+    
+    if(std::numeric_limits<eT>::has_infinity == true)
+      {
+      return -(std::numeric_limits<eT>::infinity());
+      }
+    else
+      {
+      return -(std::numeric_limits<eT>::max());
+      }
+    }
+  
+  
+  template<typename eT>
+  static
+  arma_inline
+  arma_hot
+  typename arma_integral_only<eT>::result
+  most_neg(typename arma_integral_only<eT>::result* junk = 0)
+    {
+    arma_ignore(junk);
+    
+    return std::numeric_limits<eT>::min();
+    }
+  
+  
+  template<typename eT>
+  static
+  arma_inline
+  arma_hot
+  typename arma_real_only<eT>::result
+  most_pos(typename arma_real_only<eT>::result* junk = 0)
+    {
+    arma_ignore(junk);
+    
+    if(std::numeric_limits<eT>::has_infinity == true)
+      {
+      return std::numeric_limits<eT>::infinity();
+      }
+    else
+      {
+      return std::numeric_limits<eT>::max();
+      }
+    }
+  
+  
+  template<typename eT>
+  static
+  arma_inline
+  arma_hot
+  typename arma_integral_only<eT>::result
+  most_pos(typename arma_integral_only<eT>::result* junk = 0)
+    {
+    arma_ignore(junk);
+    
+    return std::numeric_limits<eT>::max();
+    }
+
+  }
+
+
+
+//! @}