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// SPDX-License-Identifier: Apache-2.0
//
// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
// Copyright 2008-2016 National ICT Australia (NICTA)
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
// ------------------------------------------------------------------------
//! \addtogroup eop_aux
//! @{
//! use of the SFINAE approach to work around compiler limitations
//! http://en.wikipedia.org/wiki/SFINAE
class eop_aux
{
public:
template<typename eT> arma_inline static typename arma_integral_only<eT>::result acos (const eT x) { return eT( std::acos(double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result asin (const eT x) { return eT( std::asin(double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result atan (const eT x) { return eT( std::atan(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result acos (const eT x) { return std::acos(x); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result asin (const eT x) { return std::asin(x); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result atan (const eT x) { return std::atan(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result acos (const eT x) { return std::acos(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result asin (const eT x) { return std::asin(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result atan (const eT x) { return std::atan(x); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result acosh (const eT x) { return eT( std::acosh(double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result asinh (const eT x) { return eT( std::asinh(double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result atanh (const eT x) { return eT( std::atanh(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result acosh (const eT x) { return std::acosh(x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result asinh (const eT x) { return std::asinh(x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result atanh (const eT x) { return std::atanh(x); }
template<typename eT> arma_inline static typename arma_not_cx<eT>::result conj(const eT x) { return x; }
template<typename T> arma_inline static std::complex<T> conj(const std::complex<T>& x) { return std::conj(x); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result sqrt (const eT x) { return eT( std::sqrt (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result log10 (const eT x) { return eT( std::log10(double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result log (const eT x) { return eT( std::log (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result exp (const eT x) { return eT( std::exp (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result cos (const eT x) { return eT( std::cos (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result sin (const eT x) { return eT( std::sin (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result tan (const eT x) { return eT( std::tan (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result cosh (const eT x) { return eT( std::cosh (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result sinh (const eT x) { return eT( std::sinh (double(x)) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result tanh (const eT x) { return eT( std::tanh (double(x)) ); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result sqrt (const eT x) { return std::sqrt (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result log10 (const eT x) { return std::log10(x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result log (const eT x) { return std::log (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result exp (const eT x) { return std::exp (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result cos (const eT x) { return std::cos (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result sin (const eT x) { return std::sin (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result tan (const eT x) { return std::tan (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result cosh (const eT x) { return std::cosh (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result sinh (const eT x) { return std::sinh (x); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result tanh (const eT x) { return std::tanh (x); }
template<typename eT> arma_inline static typename arma_unsigned_integral_only<eT>::result neg (const eT x) { return x; }
template<typename eT> arma_inline static typename arma_signed_only<eT>::result neg (const eT x) { return -x; }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result floor (const eT x) { return x; }
template<typename eT> arma_inline static typename arma_real_only<eT>::result floor (const eT x) { return std::floor(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result floor (const eT& x) { return eT( std::floor(x.real()), std::floor(x.imag()) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result ceil (const eT x) { return x; }
template<typename eT> arma_inline static typename arma_real_only<eT>::result ceil (const eT x) { return std::ceil(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result ceil (const eT& x) { return eT( std::ceil(x.real()), std::ceil(x.imag()) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result round (const eT x) { return x; }
template<typename eT> arma_inline static typename arma_real_only<eT>::result round (const eT x) { return std::round(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result round (const eT& x) { return eT( std::round(x.real()), std::round(x.imag()) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result trunc (const eT x) { return x; }
template<typename eT> arma_inline static typename arma_real_only<eT>::result trunc (const eT x) { return std::trunc(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result trunc (const eT& x) { return eT( std::trunc(x.real()), std::trunc(x.imag()) ); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result log2 (const eT x) { return eT( std::log2(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result log2 (const eT x) { return std::log2(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result log2 (const eT& x) { typedef typename get_pod_type<eT>::result T; return std::log(x) / T(0.69314718055994530942); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result log1p (const eT x) { return eT( std::log1p(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result log1p (const eT x) { return std::log1p(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result log1p (const eT& x) { arma_ignore(x); return eT(0); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result exp2 (const eT x) { return eT( std::exp2(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result exp2 (const eT x) { return std::exp2(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result exp2 (const eT& x) { typedef typename get_pod_type<eT>::result T; return std::pow( T(2), x); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result exp10 (const eT x) { return eT( std::pow(double(10), double(x)) ); }
template<typename eT> arma_inline static typename arma_real_or_cx_only<eT>::result exp10 (const eT x) { typedef typename get_pod_type<eT>::result T; return std::pow( T(10), x); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result expm1 (const eT x) { return eT( std::expm1(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result expm1 (const eT x) { return std::expm1(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result expm1 (const eT& x) { arma_ignore(x); return eT(0); }
template<typename eT> arma_inline static typename arma_unsigned_integral_only<eT>::result arma_abs (const eT x) { return x; }
template<typename eT> arma_inline static typename arma_signed_integral_only<eT>::result arma_abs (const eT x) { return std::abs(x); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result arma_abs (const eT x) { return std::abs(x); }
template<typename T> arma_inline static typename arma_real_only< T>::result arma_abs (const std::complex<T>& x) { return std::abs(x); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result erf (const eT x) { return eT( std::erf(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result erf (const eT x) { return std::erf(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result erf (const eT& x) { arma_ignore(x); return eT(0); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result erfc (const eT x) { return eT( std::erfc(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result erfc (const eT x) { return std::erfc(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result erfc (const eT& x) { arma_ignore(x); return eT(0); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result lgamma (const eT x) { return eT( std::lgamma(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result lgamma (const eT x) { return std::lgamma(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result lgamma (const eT& x) { arma_ignore(x); return eT(0); }
template<typename eT> arma_inline static typename arma_integral_only<eT>::result tgamma (const eT x) { return eT( std::tgamma(double(x)) ); }
template<typename eT> arma_inline static typename arma_real_only<eT>::result tgamma (const eT x) { return std::tgamma(x); }
template<typename eT> arma_inline static typename arma_cx_only<eT>::result tgamma (const eT& x) { arma_ignore(x); return eT(0); }
template<typename T1, typename T2> arma_inline static typename arma_integral_only<T1>::result pow (const T1 base, const T2 exponent) { return T1( std::pow( double(base), double(exponent) ) ); }
template<typename T1, typename T2> arma_inline static typename arma_real_or_cx_only<T1>::result pow (const T1 base, const T2 exponent) { return T1( std::pow( base, exponent ) ); }
template<typename eT>
arma_inline
static
typename arma_integral_only<eT>::result
direct_eps(const eT)
{
return eT(0);
}
template<typename eT>
inline
static
typename arma_real_only<eT>::result
direct_eps(const eT x)
{
//arma_extra_debug_sigprint();
// acording to IEEE Standard for Floating-Point Arithmetic (IEEE 754)
// the mantissa length for double is 53 bits = std::numeric_limits<double>::digits
// the mantissa length for float is 24 bits = std::numeric_limits<float >::digits
//return std::pow( std::numeric_limits<eT>::radix, (std::floor(std::log10(std::abs(x))/std::log10(std::numeric_limits<eT>::radix))-(std::numeric_limits<eT>::digits-1)) );
const eT radix_eT = eT(std::numeric_limits<eT>::radix);
const eT digits_m1_eT = eT(std::numeric_limits<eT>::digits - 1);
// return std::pow( radix_eT, eT(std::floor(std::log10(std::abs(x))/std::log10(radix_eT)) - digits_m1_eT) );
return eop_aux::pow( radix_eT, eT(std::floor(std::log10(std::abs(x))/std::log10(radix_eT)) - digits_m1_eT) );
}
template<typename T>
inline
static
typename arma_real_only<T>::result
direct_eps(const std::complex<T>& x)
{
//arma_extra_debug_sigprint();
//return std::pow( std::numeric_limits<T>::radix, (std::floor(std::log10(std::abs(x))/std::log10(std::numeric_limits<T>::radix))-(std::numeric_limits<T>::digits-1)) );
const T radix_T = T(std::numeric_limits<T>::radix);
const T digits_m1_T = T(std::numeric_limits<T>::digits - 1);
return std::pow( radix_T, T(std::floor(std::log10(std::abs(x))/std::log10(radix_T)) - digits_m1_T) );
}
};
//! @}
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