207 lines
6.4 KiB
C++
207 lines
6.4 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 2011-2015 Danny Robson <danny@nerdcruft.net>
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*/
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#include "fixed.hpp"
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#include "maths.hpp"
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#include <cmath>
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using namespace util;
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///////////////////////////////////////////////////////////////////////////////
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// Constructors
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template <typename T, unsigned I, unsigned E>
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fixed<T,I,E>::fixed (native_t val):
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m_value (val << E)
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{
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static_assert (I > 0, "must use positive integer bits");
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static_assert (E > 0, "must use positive fractional bits");
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static_assert (I + E == sizeof (m_value) * 8,
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"underlying storage must be exactly I+E sized");
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}
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///////////////////////////////////////////////////////////////////////////////
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// Conversions
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template <typename T, unsigned I, unsigned E>
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double
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fixed<T,I,E>::to_double (void) const
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{
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return static_cast<double> (m_value) / pow (2, E);
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}
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//-----------------------------------------------------------------------------
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template <typename T, unsigned I, unsigned E>
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float
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fixed<T,I,E>::to_float (void) const
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{
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return static_cast<float> (m_value) / pow (2, E);
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}
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//-----------------------------------------------------------------------------
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template <typename T, unsigned I, unsigned E>
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typename fixed<T,I,E>::native_t
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fixed<T,I,E>::to_integer (void) const
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{
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return m_value >> E;
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}
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//-----------------------------------------------------------------------------
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template <typename T, unsigned I, unsigned E>
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typename fixed<T,I,E>::native_t
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fixed<T,I,E>::to_native (void) const
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{
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return m_value;
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}
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//-----------------------------------------------------------------------------
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template <typename T, unsigned I, unsigned E>
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fixed<T,I,E>
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fixed<T,I,E>::from_native (native_t i)
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{
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fixed<T,I,E> v;
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v.m_value = i;
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return v;
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}
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//-----------------------------------------------------------------------------
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template <typename T, unsigned I, unsigned E>
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typename fixed<T,I,E>::native_t
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fixed<T,I,E>::to_integer (native_t n)
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{
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return n >> E;
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}
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///////////////////////////////////////////////////////////////////////////////
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// Fixed operators
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#define SIMPLE_FIXED_REF(OP) \
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template <typename T, unsigned I, unsigned E> \
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util::fixed<T,I,E>& \
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util::fixed<T,I,E>::operator OP (const fixed<T,I,E> rhs) \
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{ \
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m_value OP rhs.m_value; \
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return *this; \
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}
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SIMPLE_FIXED_REF(-=)
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SIMPLE_FIXED_REF(+=)
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#define SIMPLE_FIXED_LIT(OP) \
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template <typename T, unsigned I, unsigned E> \
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util::fixed<T,I,E> \
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util::fixed<T,I,E>::operator OP (const fixed<T,I,E> rhs) const \
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{ \
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fixed<T,I,E> v; \
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v.m_value = m_value OP rhs.m_value; \
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return v; \
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}
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SIMPLE_FIXED_LIT(-)
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SIMPLE_FIXED_LIT(+)
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///////////////////////////////////////////////////////////////////////////////
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// Integer operators
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#define SIMPLE_INTEGER_REF(OP) \
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template <typename T, unsigned I, unsigned E> \
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fixed<T,I,E>& \
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fixed<T,I,E>::operator OP (native_t val) \
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{ \
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m_value OP val << E; \
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return *this; \
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}
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SIMPLE_INTEGER_REF(+=)
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SIMPLE_INTEGER_REF(-=)
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SIMPLE_INTEGER_REF(*=)
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SIMPLE_INTEGER_REF(/=)
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//-----------------------------------------------------------------------------
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#define SIMPLE_INTEGER_LIT(OP) \
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template <typename T, unsigned I, unsigned E> \
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fixed<T,I,E> \
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fixed<T,I,E>::operator OP (native_t val) const \
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{ \
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return fixed<T,I,E>::from_native (m_value OP val << E); \
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}
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SIMPLE_INTEGER_LIT(+)
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SIMPLE_INTEGER_LIT(-)
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SIMPLE_INTEGER_LIT(*)
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SIMPLE_INTEGER_LIT(/)
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///////////////////////////////////////////////////////////////////////////////
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// logical operators
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#define LOGIC_OP(OP) \
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template <typename T, unsigned I, unsigned E> \
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bool \
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util::operator OP (util::fixed<T,I,E> a, \
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util::fixed<T,I,E> b) \
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{ \
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return a.to_native () OP b.to_native (); \
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}
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LOGIC_OP(==)
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LOGIC_OP(!=)
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LOGIC_OP(<)
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LOGIC_OP(<=)
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LOGIC_OP(>)
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LOGIC_OP(>=)
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///////////////////////////////////////////////////////////////////////////////
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// iostream operators
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template <typename T, unsigned I, unsigned E>
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std::ostream&
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util::operator<< (std::ostream &os, fixed<T,I,E> v)
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{
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return os << v.to_double ();
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}
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///////////////////////////////////////////////////////////////////////////////
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// Instantiations
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#define INSTANTIATE(T,I,E) \
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template class util::fixed<T,I,E>; \
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template std::ostream& util::operator<< (std::ostream&, fixed<T,I,E>); \
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template bool util::operator== (util::fixed<T,I,E>, util::fixed<T,I,E>); \
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template bool util::operator!= (util::fixed<T,I,E>, util::fixed<T,I,E>); \
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template bool util::operator< (util::fixed<T,I,E>, util::fixed<T,I,E>); \
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template bool util::operator<= (util::fixed<T,I,E>, util::fixed<T,I,E>); \
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template bool util::operator> (util::fixed<T,I,E>, util::fixed<T,I,E>); \
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template bool util::operator>= (util::fixed<T,I,E>, util::fixed<T,I,E>);
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template class util::fixed<signed,8,8>;
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INSTANTIATE(signed,16,16)
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INSTANTIATE(signed,26, 6)
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INSTANTIATE(signed,32,32)
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INSTANTIATE(unsigned,16,16)
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INSTANTIATE(unsigned,26, 6)
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INSTANTIATE(unsigned,32,32)
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