#ifndef MANDEL_TYPES_H #define MANDEL_TYPES_H #include #include #include #include "Fixed.h" #define WITH_QD #ifdef WITH_BOOST # include # if defined(__GNUC__) || defined(__INTEL_COMPILER) //# include # endif # include # include #endif #include #include namespace mnd { #ifdef WITH_BOOST # if 0//defined(__GNUC__) || defined(__INTEL_COMPILER) using Float128 = boost::multiprecision::float128; # else using Float128 = boost::multiprecision::cpp_bin_float_quad; /*using Float128 = boost::multiprecision::number< boost::multiprecision::backends::cpp_bin_float< 112, boost::multiprecision::backends::digit_base_2, void, boost::int16_t, -16382, 16383>, boost::multiprecision::et_off>;*/ # endif inline Float128 abs(const Float128& x) { return boost::multiprecision::abs(x); } inline Float128 floor(const Float128& x) { return boost::multiprecision::floor(x); } inline Float128 log(const Float128& x) { return boost::multiprecision::log(x); } inline Float128 log2(const Float128& x) { return boost::multiprecision::log2(x); } inline Float128 pow(const Float128& x, const Float128& y) { return boost::multiprecision::pow(x, y); } using Float256 = boost::multiprecision::number< boost::multiprecision::backends::cpp_bin_float< 240, boost::multiprecision::backends::digit_base_2, void, boost::int16_t, -16382, 16383>, boost::multiprecision::et_off>; //using Float256 = long double; inline Float256 abs(const Float256& x) { return boost::multiprecision::abs(x); } inline Float256 floor(const Float256& x) { return boost::multiprecision::floor(x); } inline Float256 log(const Float256& x) { return boost::multiprecision::log(x); } inline Float256 log2(const Float256& x) { return boost::multiprecision::log2(x); } inline Float256 pow(const Float256& x, const Float256& y) { return boost::multiprecision::pow(x, y); } using Float512 = boost::multiprecision::number< boost::multiprecision::backends::cpp_bin_float< 496, boost::multiprecision::backends::digit_base_2, void, boost::int16_t, -16382, 16383>, boost::multiprecision::et_off>; inline Float512 abs(const Float512& x) { return boost::multiprecision::abs(x); } inline Float512 floor(const Float512& x) { return boost::multiprecision::floor(x); } inline Float512 log(const Float512& x) { return boost::multiprecision::log(x); } inline Float512 log2(const Float512& x) { return boost::multiprecision::log2(x); } inline Float512 pow(const Float512& x, const Float512& y) { return boost::multiprecision::pow(x, y); } using Real = Float512; using Integer = boost::multiprecision::int512_t; #else using Real = double; using Integer = int64_t; #endif using DoubleDouble = dd_real; using QuadDouble = qd_real; inline DoubleDouble abs(const DoubleDouble& x) { return ::abs(x); } inline DoubleDouble floor(const DoubleDouble& x) { return ::floor(x); } inline DoubleDouble log(const DoubleDouble& x) { return ::log(x); } inline DoubleDouble log2(const DoubleDouble& x) { return ::log(x) / ::log(DoubleDouble(2.0)); } inline DoubleDouble pow(const DoubleDouble& x, const DoubleDouble& y) { return ::pow(x, y); } inline QuadDouble abs(const QuadDouble& x) { return ::abs(x); } inline QuadDouble floor(const QuadDouble& x) { return ::floor(x); } inline QuadDouble log(const QuadDouble& x) { return ::log(x); } inline QuadDouble log2(const QuadDouble& x) { return ::log(x) / ::log(QuadDouble(2.0)); } inline QuadDouble pow(const QuadDouble& x, const QuadDouble& y) { return ::pow(x, y); } inline double abs(double x) { return ::abs(x); } inline float abs(float x) { return ::abs(x); } inline double floor(double x) { return ::floor(x); } inline float floor(float x) { return ::floorf(x); } inline double log(double x) { return ::log(x); } inline float log(float x) { return ::logf(x); } inline double log2(double x) { return ::log2(x); } inline float log2(float x) { return ::log2f(x); } inline double pow(double x, double y) { return ::pow(x, y); } inline float pow(float x, float y) { return ::powf(x, y); } template T convert(const U& x) { return static_cast(x); } #if defined(WITH_BOOST) template<> inline DoubleDouble convert(const Real& x) { std::string s = x.str(); return DoubleDouble(s.c_str()); } template<> inline float convert(const DoubleDouble& x) { return float(x.x[0] + x.x[1]); } template<> inline QuadDouble convert(const Real& x) { std::string s = x.str(); return QuadDouble(s.c_str()); } template<> inline float convert(const QuadDouble& x) { return float(x.x[0] + x.x[1] + x.x[2] + x.x[3]); } template<> inline float convert(const Fixed512& x) { return float(Real(x)); } template<> inline Fixed64 convert(const Real& x) { return Fixed64(double(x)); } template<> inline Fixed128 convert(const Real& x) { mnd::Integer i = mnd::Integer(x * mnd::pow(Real(1LL << 32), 3)); uint64_t lo = uint64_t(i & 0xFFFFFFFFFFFFFFFFULL); uint64_t hi = uint64_t((i >> 64) & 0xFFFFFFFFFFFFFFFFULL); return Fixed128(hi, lo); } #endif std::string toString(const Real& num); /* template constexpr mnd::Real precision(void); */ } #endif // MANDEL_TYPES_H