diff options
Diffstat (limited to 'Eigen/src/Core/MathFunctions.h')
| -rw-r--r-- | Eigen/src/Core/MathFunctions.h | 249 |
1 files changed, 134 insertions, 115 deletions
diff --git a/Eigen/src/Core/MathFunctions.h b/Eigen/src/Core/MathFunctions.h index 9d3d7fbbb..2555d3a83 100644 --- a/Eigen/src/Core/MathFunctions.h +++ b/Eigen/src/Core/MathFunctions.h @@ -51,16 +51,15 @@ struct global_math_functions_filtering_base typedef typename T::Eigen_BaseClassForSpecializationOfGlobalMathFuncImpl type; }; -#define EIGEN_MATHFUNC_IMPL(func, scalar) func##_impl<typename global_math_functions_filtering_base<scalar>::type> -#define EIGEN_MATHFUNC_RETVAL(func, scalar) typename func##_retval<typename global_math_functions_filtering_base<scalar>::type>::type - +#define EIGEN_MATHFUNC_IMPL(func, scalar) Eigen::internal::func##_impl<typename Eigen::internal::global_math_functions_filtering_base<scalar>::type> +#define EIGEN_MATHFUNC_RETVAL(func, scalar) typename Eigen::internal::func##_retval<typename Eigen::internal::global_math_functions_filtering_base<scalar>::type>::type /**************************************************************************** * Implementation of real * ****************************************************************************/ -template<typename Scalar> -struct real_impl +template<typename Scalar, bool IsComplex = NumTraits<Scalar>::IsComplex> +struct real_default_impl { typedef typename NumTraits<Scalar>::Real RealScalar; EIGEN_DEVICE_FUNC @@ -70,36 +69,32 @@ struct real_impl } }; -template<typename RealScalar> -struct real_impl<std::complex<RealScalar> > +template<typename Scalar> +struct real_default_impl<Scalar,true> { + typedef typename NumTraits<Scalar>::Real RealScalar; EIGEN_DEVICE_FUNC - static inline RealScalar run(const std::complex<RealScalar>& x) + static inline RealScalar run(const Scalar& x) { using std::real; return real(x); } }; +template<typename Scalar> struct real_impl : real_default_impl<Scalar> {}; + template<typename Scalar> struct real_retval { typedef typename NumTraits<Scalar>::Real type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(real, Scalar) real(const Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(real, Scalar)::run(x); -} - /**************************************************************************** * Implementation of imag * ****************************************************************************/ -template<typename Scalar> -struct imag_impl +template<typename Scalar, bool IsComplex = NumTraits<Scalar>::IsComplex> +struct imag_default_impl { typedef typename NumTraits<Scalar>::Real RealScalar; EIGEN_DEVICE_FUNC @@ -109,30 +104,26 @@ struct imag_impl } }; -template<typename RealScalar> -struct imag_impl<std::complex<RealScalar> > +template<typename Scalar> +struct imag_default_impl<Scalar,true> { + typedef typename NumTraits<Scalar>::Real RealScalar; EIGEN_DEVICE_FUNC - static inline RealScalar run(const std::complex<RealScalar>& x) + static inline RealScalar run(const Scalar& x) { using std::imag; return imag(x); } }; +template<typename Scalar> struct imag_impl : imag_default_impl<Scalar> {}; + template<typename Scalar> struct imag_retval { typedef typename NumTraits<Scalar>::Real type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(imag, Scalar) imag(const Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(imag, Scalar)::run(x); -} - /**************************************************************************** * Implementation of real_ref * ****************************************************************************/ @@ -159,20 +150,6 @@ struct real_ref_retval typedef typename NumTraits<Scalar>::Real & type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline typename add_const_on_value_type< EIGEN_MATHFUNC_RETVAL(real_ref, Scalar) >::type real_ref(const Scalar& x) -{ - return real_ref_impl<Scalar>::run(x); -} - -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(real_ref, Scalar) real_ref(Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(real_ref, Scalar)::run(x); -} - /**************************************************************************** * Implementation of imag_ref * ****************************************************************************/ @@ -217,25 +194,11 @@ struct imag_ref_retval typedef typename NumTraits<Scalar>::Real & type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline typename add_const_on_value_type< EIGEN_MATHFUNC_RETVAL(imag_ref, Scalar) >::type imag_ref(const Scalar& x) -{ - return imag_ref_impl<Scalar>::run(x); -} - -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(imag_ref, Scalar) imag_ref(Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(imag_ref, Scalar)::run(x); -} - /**************************************************************************** * Implementation of conj * ****************************************************************************/ -template<typename Scalar> +template<typename Scalar, bool IsComplex = NumTraits<Scalar>::IsComplex> struct conj_impl { EIGEN_DEVICE_FUNC @@ -245,11 +208,11 @@ struct conj_impl } }; -template<typename RealScalar> -struct conj_impl<std::complex<RealScalar> > +template<typename Scalar> +struct conj_impl<Scalar,true> { EIGEN_DEVICE_FUNC - static inline std::complex<RealScalar> run(const std::complex<RealScalar>& x) + static inline Scalar run(const Scalar& x) { using std::conj; return conj(x); @@ -262,13 +225,6 @@ struct conj_retval typedef Scalar type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(conj, Scalar) conj(const Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(conj, Scalar)::run(x); -} - /**************************************************************************** * Implementation of abs2 * ****************************************************************************/ @@ -300,13 +256,6 @@ struct abs2_retval typedef typename NumTraits<Scalar>::Real type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(abs2, Scalar) abs2(const Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(abs2, Scalar)::run(x); -} - /**************************************************************************** * Implementation of norm1 * ****************************************************************************/ @@ -343,13 +292,6 @@ struct norm1_retval typedef typename NumTraits<Scalar>::Real type; }; -template<typename Scalar> -EIGEN_DEVICE_FUNC -inline EIGEN_MATHFUNC_RETVAL(norm1, Scalar) norm1(const Scalar& x) -{ - return EIGEN_MATHFUNC_IMPL(norm1, Scalar)::run(x); -} - /**************************************************************************** * Implementation of hypot * ****************************************************************************/ @@ -367,6 +309,7 @@ struct hypot_impl RealScalar _x = abs(x); RealScalar _y = abs(y); RealScalar p = (max)(_x, _y); + if(p==RealScalar(0)) return 0; RealScalar q = (min)(_x, _y); RealScalar qp = q/p; return p * sqrt(RealScalar(1) + qp*qp); @@ -379,12 +322,6 @@ struct hypot_retval typedef typename NumTraits<Scalar>::Real type; }; -template<typename Scalar> -inline EIGEN_MATHFUNC_RETVAL(hypot, Scalar) hypot(const Scalar& x, const Scalar& y) -{ - return EIGEN_MATHFUNC_IMPL(hypot, Scalar)::run(x, y); -} - /**************************************************************************** * Implementation of cast * ****************************************************************************/ @@ -447,12 +384,6 @@ struct atanh2_retval typedef Scalar type; }; -template<typename Scalar> -inline EIGEN_MATHFUNC_RETVAL(atanh2, Scalar) atanh2(const Scalar& x, const Scalar& y) -{ - return EIGEN_MATHFUNC_IMPL(atanh2, Scalar)::run(x, y); -} - /**************************************************************************** * Implementation of pow * ****************************************************************************/ @@ -496,12 +427,6 @@ struct pow_retval typedef Scalar type; }; -template<typename Scalar> -inline EIGEN_MATHFUNC_RETVAL(pow, Scalar) pow(const Scalar& x, const Scalar& y) -{ - return EIGEN_MATHFUNC_IMPL(pow, Scalar)::run(x, y); -} - /**************************************************************************** * Implementation of random * ****************************************************************************/ @@ -600,11 +525,10 @@ struct random_default_impl<Scalar, false, true> #else enum { rand_bits = floor_log2<(unsigned int)(RAND_MAX)+1>::value, scalar_bits = sizeof(Scalar) * CHAR_BIT, - shift = EIGEN_PLAIN_ENUM_MAX(0, int(rand_bits) - int(scalar_bits)) + shift = EIGEN_PLAIN_ENUM_MAX(0, int(rand_bits) - int(scalar_bits)), + offset = NumTraits<Scalar>::IsSigned ? (1 << (EIGEN_PLAIN_ENUM_MIN(rand_bits,scalar_bits)-1)) : 0 }; - Scalar x = Scalar(std::rand() >> shift); - Scalar offset = NumTraits<Scalar>::IsSigned ? Scalar(1 << (rand_bits-1)) : Scalar(0); - return x - offset; + return Scalar((std::rand() >> shift) - offset); #endif } }; @@ -636,6 +560,111 @@ inline EIGEN_MATHFUNC_RETVAL(random, Scalar) random() return EIGEN_MATHFUNC_IMPL(random, Scalar)::run(); } +} // end namespace internal + +/**************************************************************************** +* Generic math function * +****************************************************************************/ + +namespace numext { + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(real, Scalar) real(const Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(real, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline typename internal::add_const_on_value_type< EIGEN_MATHFUNC_RETVAL(real_ref, Scalar) >::type real_ref(const Scalar& x) +{ + return internal::real_ref_impl<Scalar>::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(real_ref, Scalar) real_ref(Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(real_ref, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(imag, Scalar) imag(const Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(imag, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline typename internal::add_const_on_value_type< EIGEN_MATHFUNC_RETVAL(imag_ref, Scalar) >::type imag_ref(const Scalar& x) +{ + return internal::imag_ref_impl<Scalar>::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(imag_ref, Scalar) imag_ref(Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(imag_ref, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(conj, Scalar) conj(const Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(conj, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(abs2, Scalar) abs2(const Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(abs2, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(norm1, Scalar) norm1(const Scalar& x) +{ + return EIGEN_MATHFUNC_IMPL(norm1, Scalar)::run(x); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(hypot, Scalar) hypot(const Scalar& x, const Scalar& y) +{ + return EIGEN_MATHFUNC_IMPL(hypot, Scalar)::run(x, y); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(atanh2, Scalar) atanh2(const Scalar& x, const Scalar& y) +{ + return EIGEN_MATHFUNC_IMPL(atanh2, Scalar)::run(x, y); +} + +template<typename Scalar> +EIGEN_DEVICE_FUNC +inline EIGEN_MATHFUNC_RETVAL(pow, Scalar) pow(const Scalar& x, const Scalar& y) +{ + return EIGEN_MATHFUNC_IMPL(pow, Scalar)::run(x, y); +} + +// std::isfinite is non standard, so let's define our own version, +// even though it is not very efficient. +template<typename T> +EIGEN_DEVICE_FUNC +bool (isfinite)(const T& x) +{ + return x<NumTraits<T>::highest() && x>NumTraits<T>::lowest(); +} + +} // end namespace numext + +namespace internal { + /**************************************************************************** * Implementation of fuzzy comparisons * ****************************************************************************/ @@ -697,12 +726,12 @@ struct scalar_fuzzy_default_impl<Scalar, true, false> template<typename OtherScalar> static inline bool isMuchSmallerThan(const Scalar& x, const OtherScalar& y, const RealScalar& prec) { - return abs2(x) <= abs2(y) * prec * prec; + return numext::abs2(x) <= numext::abs2(y) * prec * prec; } static inline bool isApprox(const Scalar& x, const Scalar& y, const RealScalar& prec) { EIGEN_USING_STD_MATH(min); - return abs2(x - y) <= (min)(abs2(x), abs2(y)) * prec * prec; + return numext::abs2(x - y) <= (min)(numext::abs2(x), numext::abs2(y)) * prec * prec; } }; @@ -766,17 +795,7 @@ template<> struct scalar_fuzzy_impl<bool> }; -/**************************************************************************** -* Special functions * -****************************************************************************/ - -// std::isfinite is non standard, so let's define our own version, -// even though it is not very efficient. -template<typename T> bool (isfinite)(const T& x) -{ - return x<NumTraits<T>::highest() && x>NumTraits<T>::lowest(); -} - + } // end namespace internal } // end namespace Eigen |