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Add numeric_traits<double> and numeric_traits<float> which are using MPFR

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This commit is contained in:
Soonho Kong 2013-08-05 18:57:09 -07:00
parent a6f825caa5
commit 52232f37cb
2 changed files with 89 additions and 1 deletions
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6
src/util/numerics/numeric_traits.cpp
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@ -3,6 +3,7 @@ Copyright (c) 2013 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Soonho Kong
*/
#include <cfenv>
#include <cmath>
@ -10,6 +11,8 @@ Author: Leonardo de Moura
namespace lean {
mpfr_rnd_t numeric_traits<double>::rnd = MPFR_RNDN;
mpfr_rnd_t numeric_traits<float>::rnd = MPFR_RNDN;
void set_processor_rounding(bool plus_inf) {
if (plus_inf)
std::fesetround(FE_UPWARD);
@ -20,5 +23,8 @@ void set_processor_rounding(bool plus_inf) {
void double_power(double & v, unsigned k) {
v = std::pow(v, k);
}
void float_power(float & v, unsigned k) {
v = std::pow(v, k);
}
};

84
src/util/numerics/numeric_traits.h
View file

@ -3,8 +3,10 @@ Copyright (c) 2013 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Soonho Kong
*/
#pragma once
#include <mpfr.h>
namespace lean {
@ -18,20 +20,100 @@ class numeric_traits {
void set_processor_rounding(bool plus_inf);
void double_power(double & v, unsigned k);
void float_power(float & v, unsigned k);
// Macro to implement transcendental functions using MPFR
#define LEAN_TRANS_FLOAT_FUNC(f, v) mpfr_t t; \
mpfr_init2(t, 24); /* precision of float = 24bit */ \
mpfr_set_flt(t, v, rnd); \
mpfr_##f(t, t, rnd); \
v = mpfr_get_flt(t, rnd); \
mpfr_clear (t); \
// Macro to implement transcendental functions using MPFR
#define LEAN_TRANS_DOUBLE_FUNC(f, v) mpfr_t t; \
mpfr_init2(t, 53); /* precision of double = 53bit */ \
mpfr_set_d(t, v, rnd); \
mpfr_##f(t, t, rnd); \
v = mpfr_get_d(t, rnd); \
mpfr_clear (t); \
template<>
class numeric_traits<double> {
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) { set_processor_rounding(plus_inf); }
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); }
static void exp2(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp2, v); }
static void exp10(double & v) { LEAN_TRANS_DOUBLE_FUNC(exp10, v); }
static void log(double & v) { LEAN_TRANS_DOUBLE_FUNC(log, v); }
static void log2(double & v) { LEAN_TRANS_DOUBLE_FUNC(log2, v); }
static void log10(double & v) { LEAN_TRANS_DOUBLE_FUNC(log10, v); }
static void sin(double & v) { LEAN_TRANS_DOUBLE_FUNC(sin, v); }
static void cos(double & v) { LEAN_TRANS_DOUBLE_FUNC(cos, v); }
static void tan(double & v) { LEAN_TRANS_DOUBLE_FUNC(tan, v); }
static void sec(double & v) { LEAN_TRANS_DOUBLE_FUNC(sec, v); }
static void csc(double & v) { LEAN_TRANS_DOUBLE_FUNC(csc, v); }
static void cot(double & v) { LEAN_TRANS_DOUBLE_FUNC(cot, v); }
static void asin(double & v) { LEAN_TRANS_DOUBLE_FUNC(asin, v); }
static void acos(double & v) { LEAN_TRANS_DOUBLE_FUNC(acos, v); }
static void atan(double & v) { LEAN_TRANS_DOUBLE_FUNC(atan, v); }
static void sinh(double & v) { LEAN_TRANS_DOUBLE_FUNC(sinh, v); }
static void cosh(double & v) { LEAN_TRANS_DOUBLE_FUNC(cosh, v); }
static void tanh(double & v) { LEAN_TRANS_DOUBLE_FUNC(tanh, v); }
static void asinh(double & v) { LEAN_TRANS_DOUBLE_FUNC(asinh, v); }
static void acosh(double & v) { LEAN_TRANS_DOUBLE_FUNC(acosh, v); }
static void atanh(double & v) { LEAN_TRANS_DOUBLE_FUNC(atanh, v); }
};
template<>
class numeric_traits<float> {
public:
static mpfr_rnd_t rnd;
static bool precise() { return false; }
static bool is_zero(float v) { return v == 0.0; }
static bool is_pos(float v) { return v > 0.0; }
static bool is_neg(float v) { return v < 0.0; }
static void set_rounding(bool plus_inf) { rnd = plus_inf ? MPFR_RNDU : MPFR_RNDD; }
static void neg(float & v) { v = -v; }
static void inv(float & v) { v = 1.0/v; }
static void reset(float & v) { v = 0.0; }
// v <- v^k
static void power(float & v, unsigned k) { float_power(v, k); }
// Transcendental functions using MPFR
static void exp(float & v) { LEAN_TRANS_FLOAT_FUNC(exp, v); }
static void exp2(float & v) { LEAN_TRANS_FLOAT_FUNC(exp2, v); }
static void exp10(float & v) { LEAN_TRANS_FLOAT_FUNC(exp10, v); }
static void log(float & v) { LEAN_TRANS_FLOAT_FUNC(log, v); }
static void log2(float & v) { LEAN_TRANS_FLOAT_FUNC(log2, v); }
static void log10(float & v) { LEAN_TRANS_FLOAT_FUNC(log10, v); }
static void sin(float & v) { LEAN_TRANS_FLOAT_FUNC(sin, v); }
static void cos(float & v) { LEAN_TRANS_FLOAT_FUNC(cos, v); }
static void tan(float & v) { LEAN_TRANS_FLOAT_FUNC(tan, v); }
static void sec(float & v) { LEAN_TRANS_FLOAT_FUNC(sec, v); }
static void csc(float & v) { LEAN_TRANS_FLOAT_FUNC(csc, v); }
static void cot(float & v) { LEAN_TRANS_FLOAT_FUNC(cot, v); }
static void asin(float & v) { LEAN_TRANS_FLOAT_FUNC(asin, v); }
static void acos(float & v) { LEAN_TRANS_FLOAT_FUNC(acos, v); }
static void atan(float & v) { LEAN_TRANS_FLOAT_FUNC(atan, v); }
static void sinh(float & v) { LEAN_TRANS_FLOAT_FUNC(sinh, v); }
static void cosh(float & v) { LEAN_TRANS_FLOAT_FUNC(cosh, v); }
static void tanh(float & v) { LEAN_TRANS_FLOAT_FUNC(tanh, v); }
static void asinh(float & v) { LEAN_TRANS_FLOAT_FUNC(asinh, v); }
static void acosh(float & v) { LEAN_TRANS_FLOAT_FUNC(acosh, v); }
static void atanh(float & v) { LEAN_TRANS_FLOAT_FUNC(atanh, v); }
};
}