/* Copyright (c) 2013 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Soonho Kong */ #pragma once #include #include "mpfp.h" namespace lean { /** \brief Template specializations define traits for native and lean numeric types. */ void double_power(double & v, unsigned k); // Macro to implement transcendental functions using MPFR #define LEAN_TRANS_DOUBLE_FUNC(f, v, rnd) \ static thread_local mpfp t(v, 53); \ t.f(rnd); \ v = t.get_double(rnd); template<> class numeric_traits { public: static mpfr_rnd_t rnd; static bool precise() { return false; } static bool is_zero(double v) { return v == 0.0; } static bool is_pos(double v) { return v > 0.0; } static bool is_neg(double v) { return v < 0.0; } static void set_rounding(bool plus_inf) { rnd = plus_inf ? MPFR_RNDU : MPFR_RNDD; } static void neg(double & v) { v = -v; } static void inv(double & v) { v = 1.0/v; } static void reset(double & v) { v = 0.0; } // v <- v^k static void power(double & v, unsigned k) { double_power(v, k); } // Transcendental functions using MPFR static void exp(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp, v, rnd); } static void exp2(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp2, v, rnd); } static void exp10(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp10, v, rnd); } static void log(double & v) { LEAN_TRANS_DOUBLE_FUNC(log, v, rnd); } static void log2(double & v) { LEAN_TRANS_DOUBLE_FUNC(log2, v, rnd); } static void log10(double & v) { LEAN_TRANS_DOUBLE_FUNC(log10, v, rnd); } static void sin(double & v) { LEAN_TRANS_DOUBLE_FUNC(sin, v, rnd); } static void cos(double & v) { LEAN_TRANS_DOUBLE_FUNC(cos, v, rnd); } static void tan(double & v) { LEAN_TRANS_DOUBLE_FUNC(tan, v, rnd); } static void sec(double & v) { LEAN_TRANS_DOUBLE_FUNC(sec, v, rnd); } static void csc(double & v) { LEAN_TRANS_DOUBLE_FUNC(csc, v, rnd); } static void cot(double & v) { LEAN_TRANS_DOUBLE_FUNC(cot, v, rnd); } static void asin(double & v) { LEAN_TRANS_DOUBLE_FUNC(asin, v, rnd); } static void acos(double & v) { LEAN_TRANS_DOUBLE_FUNC(acos, v, rnd); } static void atan(double & v) { LEAN_TRANS_DOUBLE_FUNC(atan, v, rnd); } static void sinh(double & v) { LEAN_TRANS_DOUBLE_FUNC(sinh, v, rnd); } static void cosh(double & v) { LEAN_TRANS_DOUBLE_FUNC(cosh, v, rnd); } static void tanh(double & v) { LEAN_TRANS_DOUBLE_FUNC(tanh, v, rnd); } static void asinh(double & v) { LEAN_TRANS_DOUBLE_FUNC(asinh, v, rnd); } static void acosh(double & v) { LEAN_TRANS_DOUBLE_FUNC(acosh, v, rnd); } static void atanh(double & v) { LEAN_TRANS_DOUBLE_FUNC(atanh, v, rnd); } }; }