simplifications
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@@ -30,137 +30,54 @@ class Math
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{
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public:
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// the long lengths of the constants are for future support of "long double"
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// and any smart compiler that does high-precision computation at compile-time
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//! ratio of any circle's circumference to its diameter
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arma_deprecated static eT pi() { return eT(Datum<eT>::pi); } // use datum::pi instead
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//! base of the natural logarithm
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arma_deprecated static eT e() { return eT(Datum<eT>::e); } // use datum::e instead
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//! Euler's constant, aka Euler-Mascheroni constant
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arma_deprecated static eT euler() { return eT(Datum<eT>::euler); } // use datum::euler instead
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//! golden ratio
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arma_deprecated static eT gratio() { return eT(Datum<eT>::gratio); } // use datum::gratio instead
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//! square root of 2
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arma_deprecated static eT sqrt2() { return eT(Datum<eT>::sqrt2); } // use datum::sqrt2 instead
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//! the difference between 1 and the least value greater than 1 that is representable
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arma_deprecated static eT eps() { return eT(Datum<eT>::eps); } // use datum::eps instead
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//! log of the minimum representable value
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arma_deprecated static eT log_min() { return eT(Datum<eT>::log_min); } // use datum::log_min instead
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//! log of the maximum representable value
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arma_deprecated static eT log_max() { return eT(Datum<eT>::log_max); } // use datum::log_max instead
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//! "not a number"
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arma_deprecated static eT nan() { return eT(Datum<eT>::nan); } // use datum::nan instead
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//! infinity
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arma_deprecated static eT inf() { return eT(Datum<eT>::inf); } // use datum::inf instead
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arma_deprecated static eT pi() { return eT(Datum<eT>::pi); }
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arma_deprecated static eT e() { return eT(Datum<eT>::e); }
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arma_deprecated static eT euler() { return eT(Datum<eT>::euler); }
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arma_deprecated static eT gratio() { return eT(Datum<eT>::gratio); }
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arma_deprecated static eT sqrt2() { return eT(Datum<eT>::sqrt2); }
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arma_deprecated static eT eps() { return eT(Datum<eT>::eps); }
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arma_deprecated static eT log_min() { return eT(Datum<eT>::log_min); }
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arma_deprecated static eT log_max() { return eT(Datum<eT>::log_max); }
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arma_deprecated static eT nan() { return eT(Datum<eT>::nan); }
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arma_deprecated static eT inf() { return eT(Datum<eT>::inf); }
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};
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//! Physical constants taken from NIST 2010 CODATA values, and some from WolframAlpha (values provided as of 2009-06-23)
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//! http://physics.nist.gov/cuu/Constants
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//! http://www.wolframalpha.com
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//! See also http://en.wikipedia.org/wiki/Physical_constant
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template<typename eT>
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class Phy
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{
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public:
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//! atomic mass constant (in kg)
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arma_deprecated static eT m_u() { return eT(Datum<eT>::m_u); }
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//! Avogadro constant
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arma_deprecated static eT N_A() { return eT(Datum<eT>::N_A); }
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//! Boltzmann constant (in joules per kelvin)
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arma_deprecated static eT k() { return eT(Datum<eT>::k); }
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//! Boltzmann constant (in eV/K)
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arma_deprecated static eT k_evk() { return eT(Datum<eT>::k_evk); }
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//! Bohr radius (in meters)
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arma_deprecated static eT a_0() { return eT(Datum<eT>::a_0); }
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//! Bohr magneton
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arma_deprecated static eT mu_B() { return eT(Datum<eT>::mu_B); }
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//! characteristic impedance of vacuum (in ohms)
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arma_deprecated static eT Z_0() { return eT(Datum<eT>::Z_0); }
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//! conductance quantum (in siemens)
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arma_deprecated static eT G_0() { return eT(Datum<eT>::G_0); }
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//! Coulomb's constant (in meters per farad)
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arma_deprecated static eT k_e() { return eT(Datum<eT>::k_e); }
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//! electric constant (in farads per meter)
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arma_deprecated static eT eps_0() { return eT(Datum<eT>::eps_0); }
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//! electron mass (in kg)
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arma_deprecated static eT m_e() { return eT(Datum<eT>::m_e); }
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//! electron volt (in joules)
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arma_deprecated static eT eV() { return eT(Datum<eT>::eV); }
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//! elementary charge (in coulombs)
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arma_deprecated static eT e() { return eT(Datum<eT>::ec); }
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//! Faraday constant (in coulombs)
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arma_deprecated static eT F() { return eT(Datum<eT>::F); }
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//! fine-structure constant
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arma_deprecated static eT alpha() { return eT(Datum<eT>::alpha); }
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//! inverse fine-structure constant
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arma_deprecated static eT m_u() { return eT(Datum<eT>::m_u); }
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arma_deprecated static eT N_A() { return eT(Datum<eT>::N_A); }
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arma_deprecated static eT k() { return eT(Datum<eT>::k); }
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arma_deprecated static eT k_evk() { return eT(Datum<eT>::k_evk); }
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arma_deprecated static eT a_0() { return eT(Datum<eT>::a_0); }
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arma_deprecated static eT mu_B() { return eT(Datum<eT>::mu_B); }
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arma_deprecated static eT Z_0() { return eT(Datum<eT>::Z_0); }
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arma_deprecated static eT G_0() { return eT(Datum<eT>::G_0); }
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arma_deprecated static eT k_e() { return eT(Datum<eT>::k_e); }
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arma_deprecated static eT eps_0() { return eT(Datum<eT>::eps_0); }
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arma_deprecated static eT m_e() { return eT(Datum<eT>::m_e); }
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arma_deprecated static eT eV() { return eT(Datum<eT>::eV); }
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arma_deprecated static eT e() { return eT(Datum<eT>::ec); }
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arma_deprecated static eT F() { return eT(Datum<eT>::F); }
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arma_deprecated static eT alpha() { return eT(Datum<eT>::alpha); }
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arma_deprecated static eT alpha_inv() { return eT(Datum<eT>::alpha_inv); }
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//! Josephson constant
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arma_deprecated static eT K_J() { return eT(Datum<eT>::K_J); }
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//! magnetic constant (in henries per meter)
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arma_deprecated static eT mu_0() { return eT(Datum<eT>::mu_0); }
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//! magnetic flux quantum (in webers)
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arma_deprecated static eT phi_0() { return eT(Datum<eT>::phi_0); }
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//! molar gas constant (in joules per mole kelvin)
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arma_deprecated static eT R() { return eT(Datum<eT>::R); }
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//! Newtonian constant of gravitation (in newton square meters per kilogram squared)
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arma_deprecated static eT G() { return eT(Datum<eT>::G); }
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//! Planck constant (in joule seconds)
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arma_deprecated static eT h() { return eT(Datum<eT>::h); }
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//! Planck constant over 2 pi, aka reduced Planck constant (in joule seconds)
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arma_deprecated static eT h_bar() { return eT(Datum<eT>::h_bar); }
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//! proton mass (in kg)
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arma_deprecated static eT m_p() { return eT(Datum<eT>::m_p); }
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//! Rydberg constant (in reciprocal meters)
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arma_deprecated static eT R_inf() { return eT(Datum<eT>::R_inf); }
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//! speed of light in vacuum (in meters per second)
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arma_deprecated static eT c_0() { return eT(Datum<eT>::c_0); }
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//! Stefan-Boltzmann constant
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arma_deprecated static eT sigma() { return eT(Datum<eT>::sigma); }
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//! von Klitzing constant (in ohms)
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arma_deprecated static eT R_k() { return eT(Datum<eT>::R_k); }
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//! Wien wavelength displacement law constant
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arma_deprecated static eT b() { return eT(Datum<eT>::b); }
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arma_deprecated static eT K_J() { return eT(Datum<eT>::K_J); }
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arma_deprecated static eT mu_0() { return eT(Datum<eT>::mu_0); }
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arma_deprecated static eT phi_0() { return eT(Datum<eT>::phi_0); }
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arma_deprecated static eT R() { return eT(Datum<eT>::R); }
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arma_deprecated static eT G() { return eT(Datum<eT>::G); }
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arma_deprecated static eT h() { return eT(Datum<eT>::h); }
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arma_deprecated static eT h_bar() { return eT(Datum<eT>::h_bar); }
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arma_deprecated static eT m_p() { return eT(Datum<eT>::m_p); }
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arma_deprecated static eT R_inf() { return eT(Datum<eT>::R_inf); }
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arma_deprecated static eT c_0() { return eT(Datum<eT>::c_0); }
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arma_deprecated static eT sigma() { return eT(Datum<eT>::sigma); }
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arma_deprecated static eT R_k() { return eT(Datum<eT>::R_k); }
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arma_deprecated static eT b() { return eT(Datum<eT>::b); }
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};
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