94 lines
4.3 KiB
C++
94 lines
4.3 KiB
C++
/*
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Copyright (c) 2013 Microsoft Corporation. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Author: Soonho Kong
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*/
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#pragma once
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#include <mpfr.h>
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#include "util/numerics/mpfp.h"
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namespace lean {
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/**
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\brief Template specializations define traits for native and lean
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numeric types.
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*/
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void double_power(double & v, unsigned k);
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void double_abs(double & v);
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void double_ceil(double & v);
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void double_floor(double & v);
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// Macro to implement transcendental functions using MPFR
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#define LEAN_TRANS_DOUBLE_FUNC(f, v, rnd) \
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static thread_local mpfp t(53); \
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t = v; \
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t.f(rnd); \
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v = t.get_double(rnd);
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void set_double_rnd(bool plus_inf);
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mpfr_rnd_t get_double_rnd();
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template<>
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class numeric_traits<double> {
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public:
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static bool precise() { return false; }
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static bool is_zero(double v) { return v == 0.0; }
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static bool is_pos(double v) { return v > 0.0; }
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static bool is_neg(double v) { return v < 0.0; }
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static mpfr_rnd_t rnd() { return get_double_rnd(); }
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static void set_rounding(bool plus_inf) { set_double_rnd(plus_inf); }
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static void neg(double & v) { v = -v; }
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static void inv(double & v) { v = 1.0/v; }
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static void reset(double & v) { v = 0.0; }
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static double const & zero();
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static void power(double & v, unsigned k) { double_power(v, k); }
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static void abs(double & v) { double_abs(v); }
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static void ceil(double & v) { double_ceil(v); }
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static void floor(double & v) { double_floor(v); }
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static double const & min(double const & v1, double const & v2) {
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return v1 < v2 ? v1 : v2;
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}
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static double const & max(double const & v1, double const & v2) {
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return v1 > v2 ? v1 : v2;
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}
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// constants
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static const double constexpr pi_l = (3373259426.0 + 273688.0 / (1<<21)) / (1<<30);
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static const double constexpr pi_n = (3373259426.0 + 273688.0 / (1<<21)) / (1<<30);
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static const double constexpr pi_u = (3373259426.0 + 273689.0 / (1<<21)) / (1<<30);
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static inline double pi_lower() { return pi_l; }
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static inline double pi() { return pi_n; }
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static inline double pi_upper() { return pi_u; }
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static inline double pi_half_lower() { return pi_l / 2; }
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static inline double pi_half() { return pi_n / 2; }
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static inline double pi_half_upper() { return pi_u / 2; }
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static inline double pi_twice_lower() { return pi_l * 2; }
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static inline double pi_twice() { return pi_n * 2; }
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static inline double pi_twice_upper() { return pi_u * 2; }
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// Transcendental functions using MPFR
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static void exp(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp, v, rnd()); }
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static void exp2(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp2, v, rnd()); }
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static void exp10(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp10, v, rnd()); }
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static void log(double & v) { LEAN_TRANS_DOUBLE_FUNC(log, v, rnd()); }
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static void log2(double & v) { LEAN_TRANS_DOUBLE_FUNC(log2, v, rnd()); }
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static void log10(double & v) { LEAN_TRANS_DOUBLE_FUNC(log10, v, rnd()); }
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static void sin(double & v) { LEAN_TRANS_DOUBLE_FUNC(sin, v, rnd()); }
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static void cos(double & v) { LEAN_TRANS_DOUBLE_FUNC(cos, v, rnd()); }
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static void tan(double & v) { LEAN_TRANS_DOUBLE_FUNC(tan, v, rnd()); }
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static void sec(double & v) { LEAN_TRANS_DOUBLE_FUNC(sec, v, rnd()); }
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static void csc(double & v) { LEAN_TRANS_DOUBLE_FUNC(csc, v, rnd()); }
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static void cot(double & v) { LEAN_TRANS_DOUBLE_FUNC(cot, v, rnd()); }
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static void asin(double & v) { LEAN_TRANS_DOUBLE_FUNC(asin, v, rnd()); }
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static void acos(double & v) { LEAN_TRANS_DOUBLE_FUNC(acos, v, rnd()); }
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static void atan(double & v) { LEAN_TRANS_DOUBLE_FUNC(atan, v, rnd()); }
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static void sinh(double & v) { LEAN_TRANS_DOUBLE_FUNC(sinh, v, rnd()); }
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static void cosh(double & v) { LEAN_TRANS_DOUBLE_FUNC(cosh, v, rnd()); }
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static void tanh(double & v) { LEAN_TRANS_DOUBLE_FUNC(tanh, v, rnd()); }
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static void asinh(double & v) { LEAN_TRANS_DOUBLE_FUNC(asinh, v, rnd()); }
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static void acosh(double & v) { LEAN_TRANS_DOUBLE_FUNC(acosh, v, rnd()); }
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static void atanh(double & v) { LEAN_TRANS_DOUBLE_FUNC(atanh, v, rnd()); }
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};
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}
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