86 lines
2.6 KiB
C++
86 lines
2.6 KiB
C++
/*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*
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* Copyright 2011 Danny Robson <danny@nerdcruft.net>
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*/
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#ifndef __FLOAT_HPP
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#define __FLOAT_HPP
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#include "types/bits.hpp"
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///////////////////////////////////////////////////////////////////////////////
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template <unsigned int EXPONENT, unsigned int SIGNIFICAND>
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class ieee_float
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{
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public:
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static const unsigned int EXPONENT_BITS = EXPONENT;
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static const unsigned int SIGNIFICAND_BITS = SIGNIFICAND;
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static const unsigned int TOTAL_BITS = 1 + EXPONENT + SIGNIFICAND;
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static const unsigned int BIAS = (1 << (EXPONENT - 1)) - 1;
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typedef typename bits_type<TOTAL_BITS>::sint sint_t;
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typedef typename bits_type<TOTAL_BITS>::uint uint_t;
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typedef typename bits_type<TOTAL_BITS>::floating floating_t;
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protected:
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union {
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uint_t m_bits;
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floating_t m_floating;
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struct {
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uint_t sign : 1;
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uint_t exponent : EXPONENT;
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uint_t significand : SIGNIFICAND;
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} m_components;
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};
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public:
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ieee_float (void);
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ieee_float (floating_t _floating);
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ieee_float (const ieee_float &rhs);
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static unsigned int bias (void)
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{ return BIAS; }
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void set_bits (uint_t _bits) { m_bits = _bits; }
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uint_t bits (void) const { return m_bits; }
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bool negative (void) const { return m_components.sign; }
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void negate (void) { m_components.sign ^= m_components.sign; }
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bool is_zero (void) const;
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bool is_subnormal (void) const;
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bool is_inifinity (void) const;
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bool is_nan (void) const;
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bool operator== (floating_t) const;
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static bool almost_equal (floating_t, floating_t);
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static bool almost_equal (floating_t, floating_t, unsigned ulps);
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};
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typedef ieee_float< 5, 10> ieee_half;
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typedef ieee_float< 8, 23> ieee_single;
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typedef ieee_float<11, 52> ieee_double;
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static_assert (sizeof(ieee_half ) == 2, "ieee_half must be 2 bytes");
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static_assert (sizeof(ieee_single ) == 4, "ieee_single must be 4 bytes");
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static_assert (sizeof(ieee_double ) == 8, "ieee_double must be 8 bytes");
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#endif // __FLOAT_HPP
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