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354 lines
12 KiB
354 lines
12 KiB
// Copyright 2017-2021 Pharap
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//
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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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FIXED_POINTS_BEGIN_NAMESPACE
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//
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// Constructors
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//
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const RawType & value)
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: value(static_cast<InternalType>(value))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed()
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: value(0)
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const IntegerType & integer, const FractionType & fraction)
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: value((static_cast<InternalType>(integer) << FractionSize) | fraction)
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const char & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<char, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const unsigned char & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<unsigned char, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const signed char & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<signed char, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const unsigned short int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<unsigned short int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const signed short int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<signed short int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const unsigned int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<unsigned int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const signed int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<signed int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const unsigned long int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<unsigned long int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const signed long int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<signed long int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const unsigned long long int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<unsigned long long int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const signed long long int & value)
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: value(static_cast<InternalType>(static_cast< FIXED_POINTS_DETAILS::LargerType<signed long long int, InternalType> >(value) << FractionSize))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const double & value)
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: value(static_cast<InternalType>(value * static_cast<double>(Scale)))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const float & value)
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: value(static_cast<InternalType>(value * static_cast<float>(Scale)))
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{
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::SFixed(const long double & value)
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: value(static_cast<InternalType>(value * static_cast<long double>(Scale)))
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{
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}
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//
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// Getters
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//
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template< unsigned Integer, unsigned Fraction >
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constexpr typename SFixed<Integer, Fraction>::InternalType SFixed<Integer, Fraction>::getInternal() const
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{
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return this->value;
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr typename SFixed<Integer, Fraction>::IntegerType SFixed<Integer, Fraction>::getInteger() const
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{
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return (static_cast<IntegerType>(this->value >> IntegerShift) & IntegerMask) | ((this->value < 0) ? ~IntegerMask : 0);
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr typename SFixed<Integer, Fraction>::FractionType SFixed<Integer, Fraction>::getFraction() const
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{
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return static_cast<FractionType>(this->value >> FractionShift) & FractionMask;
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}
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//
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// Cast Operators
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//
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator char() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator unsigned char() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator signed char() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator unsigned short int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator signed short int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator unsigned int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator signed int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator unsigned long int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator signed long int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator unsigned long long int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator signed long long int() const
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{
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return this->getInteger();
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator float() const
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{
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return (1.0F / Scale) *
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static_cast<InternalType>
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((this->value & IdentityMask) |
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((this->value < 0) ? ~IdentityMask : 0));
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator double() const
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{
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return (1.0 / Scale) *
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static_cast<InternalType>
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((this->value & IdentityMask) |
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((this->value < 0) ? ~IdentityMask : 0));
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator long double() const
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{
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return (1.0L / Scale) *
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static_cast<InternalType>
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((this->value & IdentityMask) |
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((this->value < 0) ? ~IdentityMask : 0));
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}
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template< unsigned Integer, unsigned Fraction >
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template< unsigned IntegerOut, unsigned FractionOut >
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constexpr SFixed<Integer, Fraction>::operator SFixed<IntegerOut, FractionOut>() const
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{
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using OutputType = SFixed<IntegerOut, FractionOut>;
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using OutputInternalType = typename OutputType::InternalType;
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using OutputShiftType = typename OutputType::ShiftType;
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using InputType = SFixed<Integer, Fraction>;
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using InputShiftType = typename InputType::ShiftType;
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return
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(FractionOut > FractionSize) ?
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OutputType::fromInternal(static_cast<OutputInternalType>(static_cast<OutputShiftType>(this->value) << ((FractionOut > FractionSize) ? (FractionOut - FractionSize) : 0))) :
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(FractionSize > FractionOut) ?
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OutputType::fromInternal(static_cast<OutputInternalType>(static_cast<InputShiftType>(this->value) >> ((FractionSize > FractionOut) ? (FractionSize - FractionOut) : 0))) :
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OutputType::fromInternal(this->value);
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}
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template< unsigned Integer, unsigned Fraction >
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template< unsigned IntegerOut, unsigned FractionOut >
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constexpr SFixed<Integer, Fraction>::operator UFixed<IntegerOut, FractionOut>() const
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{
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using OutputType = UFixed<IntegerOut, FractionOut>;
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using IntermediaryType = SFixed<IntegerOut - 1, FractionOut>;
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return static_cast<OutputType>(static_cast<IntermediaryType>(*this));
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction>::operator UFixed<Integer + 1, Fraction>() const
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{
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using OutputType = UFixed<Integer + 1, Fraction>;
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using OutputInternalType = typename OutputType::InternalType;
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return OutputType::fromInternal(static_cast<OutputInternalType>(this->value));
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}
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//
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// Static Functions
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//
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction> SFixed<Integer, Fraction>::fromInternal(const typename SFixed<Integer, Fraction>::InternalType & value)
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{
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return SFixed<Integer, Fraction>(RawType(value));
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}
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template< unsigned Integer, unsigned Fraction >
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constexpr SFixed<Integer, Fraction> SFixed<Integer, Fraction>::operator -() const
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{
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return SFixed<Integer, Fraction>::fromInternal(-this->value);
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}
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//
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// Member Operators
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//
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template< unsigned Integer, unsigned Fraction >
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SFixed<Integer, Fraction> & SFixed<Integer, Fraction>::operator ++()
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{
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this->value += (static_cast<InternalType>(1) << FractionSize);
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return *this;
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}
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template< unsigned Integer, unsigned Fraction >
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SFixed<Integer, Fraction> & SFixed<Integer, Fraction>::operator --()
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{
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this->value -= (static_cast<InternalType>(1) << FractionSize);
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return *this;
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}
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//
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// Compound Assignment Operators
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//
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template< unsigned Integer, unsigned Fraction >
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SFixed<Integer, Fraction> & SFixed<Integer, Fraction>::operator +=(const SFixed<Integer, Fraction> & other)
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{
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this->value += other.value;
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return *this;
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}
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template< unsigned Integer, unsigned Fraction >
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SFixed<Integer, Fraction> & SFixed<Integer, Fraction>::operator -=(const SFixed<Integer, Fraction> & other)
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{
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this->value -= other.value;
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return *this;
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}
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template< unsigned Integer, unsigned Fraction >
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SFixed<Integer, Fraction> & SFixed<Integer, Fraction>::operator *=(const SFixed<Integer, Fraction> & other)
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{
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using InternalType = typename SFixed<Integer, Fraction>::InternalType;
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using PrecisionType = typename SFixed<Integer * 2, Fraction * 2>::InternalType;
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const PrecisionType temp = (static_cast<PrecisionType>(this->value) * static_cast<PrecisionType>(other.value)) >> Fraction;
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this->value = static_cast<InternalType>(temp);
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return *this;
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}
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template< unsigned Integer, unsigned Fraction >
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SFixed<Integer, Fraction> & SFixed<Integer, Fraction>::operator /=(const SFixed<Integer, Fraction> & other)
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{
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using InternalType = typename SFixed<Integer, Fraction>::InternalType;
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using PrecisionType = typename SFixed<Integer * 2, Fraction * 2>::InternalType;
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const PrecisionType temp = (static_cast<PrecisionType>(this->value) << Fraction) / static_cast<PrecisionType>(other.value);
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this->value = static_cast<InternalType>(temp);
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return *this;
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}
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FIXED_POINTS_END_NAMESPACE |