69 lines
2.1 KiB
C++
69 lines
2.1 KiB
C++
#ifndef __FLOAT_HPP
|
|
#define __FLOAT_HPP
|
|
|
|
#include "types/bits.hpp"
|
|
#include "debug.hpp"
|
|
|
|
|
|
template <unsigned int EXPONENT, unsigned int SIGNIFICAND>
|
|
class ieee_float {
|
|
public:
|
|
static const unsigned int EXPONENT_BITS = EXPONENT;
|
|
static const unsigned int SIGNIFICAND_BITS = SIGNIFICAND;
|
|
static const unsigned int TOTAL_BITS = 1 + EXPONENT + SIGNIFICAND;
|
|
|
|
static const unsigned int BIAS = (1 << (EXPONENT - 1)) - 1;
|
|
|
|
typedef typename bits_type<TOTAL_BITS>::sint sint_t;
|
|
typedef typename bits_type<TOTAL_BITS>::uint uint_t;
|
|
typedef typename bits_type<TOTAL_BITS>::floating floating_t;
|
|
|
|
protected:
|
|
union {
|
|
uint_t m_bits;
|
|
floating_t m_floating;
|
|
|
|
struct {
|
|
uint_t sign : 1;
|
|
uint_t exponent : EXPONENT;
|
|
uint_t significand : SIGNIFICAND;
|
|
} m_components;
|
|
};
|
|
|
|
public:
|
|
ieee_float (void);
|
|
ieee_float (floating_t _floating);
|
|
ieee_float (const ieee_float &rhs);
|
|
|
|
static unsigned int bias (void)
|
|
{ return BIAS; }
|
|
|
|
void set_bits (uint_t _bits) { m_bits = _bits; }
|
|
uint_t bits (void) const { return m_bits; }
|
|
|
|
bool negative (void) const { return m_components.sign; }
|
|
void negate (void) { m_components.sign ^= m_components.sign; }
|
|
|
|
bool is_zero (void) const;
|
|
bool is_subnormal (void) const;
|
|
bool is_inifinity (void) const;
|
|
bool is_nan (void) const;
|
|
bool operator== (floating_t) const;
|
|
|
|
static bool almost_equal (floating_t, floating_t);
|
|
static bool almost_equal (floating_t, floating_t, unsigned ulps);
|
|
};
|
|
|
|
|
|
typedef ieee_float< 5, 10> ieee_half;
|
|
typedef ieee_float< 8, 23> ieee_single;
|
|
typedef ieee_float<11, 52> ieee_double;
|
|
|
|
|
|
static_assert (sizeof(ieee_half ) == 2, "ieee_half must be 2 bytes");
|
|
static_assert (sizeof(ieee_single ) == 4, "ieee_single must be 4 bytes");
|
|
static_assert (sizeof(ieee_double ) == 8, "ieee_double must be 8 bytes");
|
|
|
|
|
|
#endif // __FLOAT_HPP
|