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// Copyright 2017-2018 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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#pragma once |
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#include "Details.h" |
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FIXED_POINTS_BEGIN_NAMESPACE |
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//
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// Declaration
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//
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// Predeclaration
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template< unsigned Integer, unsigned Fraction > class SFixed; |
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template< unsigned Fraction > |
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class SFixed<0, Fraction> |
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{ |
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public: |
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constexpr const static uintmax_t IntegerSize = 1; |
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constexpr const static uintmax_t FractionSize = Fraction; |
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constexpr const static uintmax_t LogicalSize = IntegerSize + FractionSize; |
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constexpr const static uintmax_t Scale = UINTMAX_C(1) << FractionSize; |
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public: |
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static_assert(LogicalSize <= FIXED_POINTS_DETAILS::BitSize<intmax_t>::Value, "Platform does not have a native type large enough for SFixed."); |
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public: |
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using IntegerType = FIXED_POINTS_DETAILS::LeastInt<IntegerSize>; |
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using FractionType = FIXED_POINTS_DETAILS::LeastUInt<FractionSize>; |
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using InternalType = FIXED_POINTS_DETAILS::LeastInt<LogicalSize>; |
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constexpr const static uintmax_t InternalSize = FIXED_POINTS_DETAILS::BitSize<InternalType>::Value; |
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using ShiftType = FIXED_POINTS_DETAILS::LeastUInt<LogicalSize>; |
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using MaskType = FIXED_POINTS_DETAILS::LeastUInt<LogicalSize>; |
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public: |
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constexpr const static ShiftType IntegerShift = FractionSize; |
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constexpr const static ShiftType FractionShift = 0; |
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constexpr const static MaskType IntegerMask = FIXED_POINTS_DETAILS::IdentityMask<IntegerSize>::Value; |
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constexpr const static MaskType FractionMask = FIXED_POINTS_DETAILS::IdentityMask<FractionSize>::Value; |
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constexpr const static MaskType IdentityMask = (IntegerMask << IntegerShift) | (FractionMask << FractionShift); |
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constexpr const static MaskType MidpointMask = FIXED_POINTS_DETAILS::MsbMask<FractionSize>::Value; |
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constexpr const static MaskType LesserMidpointMask = MidpointMask - 1; |
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protected: |
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class RawType |
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{ |
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private: |
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const InternalType value; |
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public: |
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constexpr inline explicit RawType(const InternalType & value) : value(value) {} |
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constexpr inline explicit operator InternalType(void) const { return this->value; } |
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}; |
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protected: |
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InternalType value; |
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protected: |
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constexpr SFixed(const RawType & value); |
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public: |
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constexpr SFixed(void); |
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constexpr SFixed(const IntegerType & integer, const FractionType & fraction); |
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constexpr SFixed(const char & value) = delete; |
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constexpr SFixed(const unsigned char & value) = delete; |
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constexpr SFixed(const signed char & value) = delete; |
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constexpr SFixed(const unsigned short int & value) = delete; |
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constexpr SFixed(const signed short int & value) = delete; |
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constexpr SFixed(const unsigned int & value) = delete; |
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constexpr SFixed(const signed int & value) = delete; |
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constexpr SFixed(const unsigned long int & value) = delete; |
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constexpr SFixed(const signed long int & value) = delete; |
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constexpr SFixed(const unsigned long long int & value) = delete; |
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constexpr SFixed(const signed long long int & value) = delete; |
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constexpr SFixed(const double & value); |
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constexpr SFixed(const float & value); |
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constexpr SFixed(const long double & value); |
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constexpr InternalType getInternal(void) const; |
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constexpr IntegerType getInteger(void) const; |
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constexpr FractionType getFraction(void) const; |
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constexpr explicit operator IntegerType(void) const; |
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constexpr explicit operator float(void) const; |
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constexpr explicit operator double(void) const; |
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constexpr explicit operator long double(void) const; |
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template< unsigned IntegerOut, unsigned FractionOut > |
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constexpr explicit operator SFixed<IntegerOut, FractionOut>(void) const; |
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constexpr static SFixed fromInternal(const InternalType & value); |
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constexpr SFixed operator -(void) const; |
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SFixed & operator +=(const SFixed & other); |
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SFixed & operator -=(const SFixed & other); |
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SFixed & operator *=(const SFixed & other); |
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SFixed & operator /=(const SFixed & other); |
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public: |
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constexpr const static SFixed Epsilon = SFixed::fromInternal(1); |
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constexpr const static SFixed MinValue = SFixed::fromInternal(FIXED_POINTS_DETAILS::MsbMask<InternalSize>::Value); |
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constexpr const static SFixed MaxValue = SFixed::fromInternal(~FIXED_POINTS_DETAILS::MsbMask<InternalSize>::Value); |
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// Pi, E, Phi and Tau will never be representable by 0 integer fixed points
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}; |
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FIXED_POINTS_END_NAMESPACE |
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#include "SFixed0MemberFunctions.h" |
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#include "SFixed0FreeFunctions.h" |
@ -0,0 +1,209 @@ |
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// Copyright 2017-2018 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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// Literal-type Operators
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// Generated by macro to make maintenance easier
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//
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#define LOGIC_OPERATOR( type, op )\ |
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template< unsigned Fraction >\
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constexpr bool operator op (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return (left op SFixed<0, Fraction>(right));\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator op (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return (SFixed<0, Fraction>(left) op right);\
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} |
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#define DELETED_LOGIC_OPERATOR_EQ( type )\ |
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template< unsigned Fraction >\
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constexpr bool operator == (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return false;\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator == (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return false;\
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} |
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#define DELETED_LOGIC_OPERATOR_NE( type )\ |
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template< unsigned Fraction >\
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constexpr bool operator != (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return true;\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator != (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return true;\
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} |
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#define DELETED_LOGIC_OPERATOR_LT( type )\ |
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template< unsigned Fraction >\
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constexpr bool operator < (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return true;\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator < (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return false;\
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} |
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#define DELETED_LOGIC_OPERATOR_LTE( type )\ |
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template< unsigned Fraction >\
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constexpr bool operator <= (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return true;\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator <= (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return false;\
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} |
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#define DELETED_LOGIC_OPERATOR_GT( type )\ |
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template< unsigned Fraction >\
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constexpr bool operator > (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return false;\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator > (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return true;\
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} |
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#define DELETED_LOGIC_OPERATOR_GTE( type )\ |
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template< unsigned Fraction >\
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constexpr bool operator >= (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return false;\
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}\
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\
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template< unsigned Fraction >\
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constexpr bool operator >= (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return true;\
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} |
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#define ARITHMETIC_OPERATOR( type, op )\ |
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template< unsigned Fraction >\
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constexpr SFixed<0, Fraction> operator op (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return (left op SFixed<0, Fraction>(right));\
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}\
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\
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template< unsigned Fraction >\
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constexpr SFixed<0, Fraction> operator op (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return (SFixed<0, Fraction>(left) op right);\
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} |
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#define DELETED_ARITHMETIC_OPERATOR( type, op )\ |
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template< unsigned Fraction >\
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constexpr SFixed<0, Fraction> operator op (const SFixed<0, Fraction> & left, const type & right)\
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{\
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return 0;\
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}\
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\
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template< unsigned Fraction >\
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constexpr SFixed<0, Fraction> operator op (const type & left, const SFixed<0, Fraction> & right)\
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{\
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return 0;\
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} |
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#define LOGIC_OPERATORS( type ) \ |
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LOGIC_OPERATOR( type, == )\
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LOGIC_OPERATOR( type, != )\
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LOGIC_OPERATOR( type, < )\
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LOGIC_OPERATOR( type, <= )\
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LOGIC_OPERATOR( type, > )\
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LOGIC_OPERATOR( type, >= ) |
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#define ARITHMETIC_OPERATORS( type ) \ |
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ARITHMETIC_OPERATOR( type, + )\
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ARITHMETIC_OPERATOR( type, - )\
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ARITHMETIC_OPERATOR( type, * )\
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ARITHMETIC_OPERATOR( type, / ) |
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#define DELETED_LOGIC_OPERATORS( type ) \ |
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DELETED_LOGIC_OPERATOR_EQ( type )\
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DELETED_LOGIC_OPERATOR_NE( type )\
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DELETED_LOGIC_OPERATOR_LT( type )\
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DELETED_LOGIC_OPERATOR_LTE( type )\
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DELETED_LOGIC_OPERATOR_GT( type )\
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DELETED_LOGIC_OPERATOR_GTE( type ) |
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#define DELETED_ARITHMETIC_OPERATORS( type ) \ |
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DELETED_ARITHMETIC_OPERATOR( type, + )\
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DELETED_ARITHMETIC_OPERATOR( type, - )\
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DELETED_ARITHMETIC_OPERATOR( type, * )\
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DELETED_ARITHMETIC_OPERATOR( type, / ) |
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#define OPERATORS( type ) \ |
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LOGIC_OPERATORS( type )\
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ARITHMETIC_OPERATORS( type ) |
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#define DELETED_OPERATORS( type ) \ |
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DELETED_LOGIC_OPERATORS( type )\
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DELETED_ARITHMETIC_OPERATORS( type ) |
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OPERATORS( float ) |
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OPERATORS( double ) |
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OPERATORS( long double ) |
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DELETED_OPERATORS( char ) |
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DELETED_OPERATORS( unsigned char ) |
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DELETED_OPERATORS( signed char ) |
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DELETED_OPERATORS( unsigned short int ) |
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DELETED_OPERATORS( signed short int ) |
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DELETED_OPERATORS( unsigned int ) |
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DELETED_OPERATORS( signed int ) |
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DELETED_OPERATORS( unsigned long int ) |
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DELETED_OPERATORS( signed long int ) |
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DELETED_OPERATORS( unsigned long long int ) |
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DELETED_OPERATORS( signed long long int ) |
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// Prevent Macro-bleed:
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#undef DELETED_OPERATORS |
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#undef OPERATORS |
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#undef DELETED_ARITHMETIC_OPERATORS |
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#undef DELETED_LOGIC_OPERATORS |
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#undef ARITHMETIC_OPERATORS |
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#undef LOGIC_OPERATORS |
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#undef DELETED_ARITHMETIC_OPERATOR |
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#undef ARITHMETIC_OPERATOR |
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#undef DELETED_LOGIC_OPERATOR_EQ |
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#undef DELETED_LOGIC_OPERATOR_NE |
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#undef DELETED_LOGIC_OPERATOR_LT |
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#undef DELETED_LOGIC_OPERATOR_LTE |
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#undef DELETED_LOGIC_OPERATOR_GT |
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#undef DELETED_LOGIC_OPERATOR_GTE |
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FIXED_POINTS_END_NAMESPACE |
@ -0,0 +1,191 @@ |
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// Copyright 2017-2018 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 Fraction > |
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constexpr SFixed<0, 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 Fraction > |
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constexpr SFixed<0, Fraction>::SFixed(void) |
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: value(0) |
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{ |
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} |
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// Here the comma operator is used to circumvent an unused parameter warning
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template< unsigned Fraction > |
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constexpr SFixed<0, Fraction>::SFixed(const IntegerType & integer, const FractionType & fraction) |
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: value((integer, fraction)) |
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{ |
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} |
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template< unsigned Fraction > |
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constexpr SFixed<0, 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 Fraction > |
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constexpr SFixed<0, 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 Fraction > |
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constexpr SFixed<0, 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 Fraction > |
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constexpr typename SFixed<0, Fraction>::InternalType SFixed<0, Fraction>::getInternal(void) const |
||||||
|
{ |
||||||
|
return this->value; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr typename SFixed<0, Fraction>::IntegerType SFixed<0, Fraction>::getInteger(void) const |
||||||
|
{ |
||||||
|
static_assert(false, "UNDEFINED BEHAVIOUR"); |
||||||
|
//return (static_cast<IntegerType>(this->value >> IntegerShift) & IntegerMask) | ((this->value < 0) ? ~IntegerMask : 0);
|
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr typename SFixed<0, Fraction>::FractionType SFixed<0, Fraction>::getFraction(void) const |
||||||
|
{ |
||||||
|
return static_cast<FractionType>(this->value >> FractionShift) & FractionMask; |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Cast Operators
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr SFixed<0, Fraction>::operator IntegerType(void) const |
||||||
|
{ |
||||||
|
return this->getInteger(); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr SFixed<0, Fraction>::operator float(void) const |
||||||
|
{ |
||||||
|
return (1.0F / Scale) * |
||||||
|
static_cast<InternalType> |
||||||
|
((this->value & IdentityMask) | |
||||||
|
((this->value < 0) ? ~IdentityMask : 0)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr SFixed<0, Fraction>::operator double(void) const |
||||||
|
{ |
||||||
|
return (1.0 / Scale) * |
||||||
|
static_cast<InternalType> |
||||||
|
((this->value & IdentityMask) | |
||||||
|
((this->value < 0) ? ~IdentityMask : 0)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr SFixed<0, Fraction>::operator long double(void) const |
||||||
|
{ |
||||||
|
return (1.0L / Scale) * |
||||||
|
static_cast<InternalType> |
||||||
|
((this->value & IdentityMask) | |
||||||
|
((this->value < 0) ? ~IdentityMask : 0)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
template< unsigned IntegerOut, unsigned FractionOut > |
||||||
|
constexpr SFixed<0, Fraction>::operator SFixed<IntegerOut, FractionOut>(void) const |
||||||
|
{
|
||||||
|
using OutputType = SFixed<IntegerOut, FractionOut>; |
||||||
|
using OutputInternalType = typename OutputType::InternalType; |
||||||
|
using OutputShiftType = typename OutputType::ShiftType; |
||||||
|
|
||||||
|
using InputType = SFixed<0, Fraction>; |
||||||
|
using InputShiftType = typename InputType::ShiftType; |
||||||
|
|
||||||
|
return |
||||||
|
(FractionOut > FractionSize) ? |
||||||
|
OutputType::fromInternal(static_cast<OutputInternalType>(static_cast<OutputShiftType>(this->value) << ((FractionOut > FractionSize) ? (FractionOut - FractionSize) : 0))) : |
||||||
|
(FractionSize > FractionOut) ? |
||||||
|
OutputType::fromInternal(static_cast<OutputInternalType>(static_cast<InputShiftType>(this->value) >> ((FractionSize > FractionOut) ? (FractionSize - FractionOut) : 0))) : |
||||||
|
OutputType::fromInternal(this->value); |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Static Functions
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr SFixed<0, Fraction> SFixed<0, Fraction>::fromInternal(const typename SFixed<0, Fraction>::InternalType & value) |
||||||
|
{ |
||||||
|
return SFixed<0, Fraction>(RawType(value)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr SFixed<0, Fraction> SFixed<0, Fraction>::operator -(void) const |
||||||
|
{ |
||||||
|
return SFixed<0, Fraction>::fromInternal(-this->value); |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Compound Assignment Operators
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
SFixed<0, Fraction> & SFixed<0, Fraction>::operator +=(const SFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
this->value += other.value; |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
SFixed<0, Fraction> & SFixed<0, Fraction>::operator -=(const SFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
this->value -= other.value; |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
SFixed<0, Fraction> & SFixed<0, Fraction>::operator *=(const SFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
using InternalType = typename SFixed<0, Fraction>::InternalType; |
||||||
|
using PrecisionType = typename SFixed<Integer * 2, Fraction * 2>::InternalType; |
||||||
|
const PrecisionType temp = (static_cast<PrecisionType>(this->value) * static_cast<PrecisionType>(other.value)) >> Fraction; |
||||||
|
this->value = static_cast<InternalType>(temp); |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
SFixed<0, Fraction> & SFixed<0, Fraction>::operator /=(const SFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
using InternalType = typename SFixed<0, Fraction>::InternalType; |
||||||
|
using PrecisionType = typename SFixed<Integer * 2, Fraction * 2>::InternalType; |
||||||
|
const PrecisionType temp = (static_cast<PrecisionType>(this->value) << Fraction) / static_cast<PrecisionType>(other.value); |
||||||
|
this->value = static_cast<InternalType>(temp); |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
FIXED_POINTS_END_NAMESPACE |
@ -0,0 +1,128 @@ |
|||||||
|
// Copyright 2017-2018 Pharap
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
#pragma once |
||||||
|
|
||||||
|
#include "Details.h" |
||||||
|
|
||||||
|
FIXED_POINTS_BEGIN_NAMESPACE |
||||||
|
|
||||||
|
//
|
||||||
|
// Declaration
|
||||||
|
//
|
||||||
|
|
||||||
|
// Predeclaration
|
||||||
|
template< unsigned Integer, unsigned Fraction > class UFixed; |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
class UFixed<0, Fraction> |
||||||
|
{ |
||||||
|
public: |
||||||
|
constexpr const static uintmax_t IntegerSize = 0; |
||||||
|
constexpr const static uintmax_t FractionSize = Fraction; |
||||||
|
constexpr const static uintmax_t LogicalSize = IntegerSize + FractionSize; |
||||||
|
constexpr const static uintmax_t Scale = UINTMAX_C(1) << FractionSize; |
||||||
|
|
||||||
|
public: |
||||||
|
static_assert(LogicalSize <= FIXED_POINTS_DETAILS::BitSize<uintmax_t>::Value, "Platform does not have a native type large enough for UFixed."); |
||||||
|
|
||||||
|
public: |
||||||
|
using IntegerType = FIXED_POINTS_DETAILS::LeastUInt<IntegerSize>; |
||||||
|
using FractionType = FIXED_POINTS_DETAILS::LeastUInt<FractionSize>; |
||||||
|
using InternalType = FIXED_POINTS_DETAILS::LeastUInt<LogicalSize>; |
||||||
|
|
||||||
|
constexpr const static uintmax_t InternalSize = FIXED_POINTS_DETAILS::BitSize<InternalType>::Value; |
||||||
|
|
||||||
|
using ShiftType = FIXED_POINTS_DETAILS::LeastUInt<LogicalSize>; |
||||||
|
using MaskType = FIXED_POINTS_DETAILS::LeastUInt<LogicalSize>; |
||||||
|
|
||||||
|
public: |
||||||
|
constexpr const static ShiftType IntegerShift = FractionSize; |
||||||
|
constexpr const static ShiftType FractionShift = 0; |
||||||
|
|
||||||
|
constexpr const static MaskType IntegerMask = FIXED_POINTS_DETAILS::IdentityMask<IntegerSize>::Value; |
||||||
|
constexpr const static MaskType FractionMask = FIXED_POINTS_DETAILS::IdentityMask<FractionSize>::Value; |
||||||
|
|
||||||
|
constexpr const static MaskType IdentityMask = (IntegerMask << IntegerShift) | (FractionMask << FractionShift); |
||||||
|
|
||||||
|
constexpr const static MaskType MidpointMask = FIXED_POINTS_DETAILS::MsbMask<FractionSize>::Value; |
||||||
|
constexpr const static MaskType LesserMidpointMask = MidpointMask - 1; |
||||||
|
|
||||||
|
protected: |
||||||
|
class RawType |
||||||
|
{ |
||||||
|
private: |
||||||
|
const InternalType value; |
||||||
|
|
||||||
|
public: |
||||||
|
constexpr inline explicit RawType(const InternalType & value) : value(value) {} |
||||||
|
constexpr inline explicit operator InternalType(void) const { return this->value; } |
||||||
|
}; |
||||||
|
|
||||||
|
protected: |
||||||
|
InternalType value; |
||||||
|
|
||||||
|
protected: |
||||||
|
constexpr UFixed(const RawType & value); |
||||||
|
|
||||||
|
public: |
||||||
|
constexpr UFixed(void); |
||||||
|
constexpr UFixed(const IntegerType & integer, const FractionType & fraction); |
||||||
|
constexpr UFixed(const char & value) = delete; |
||||||
|
constexpr UFixed(const unsigned char & value) = delete; |
||||||
|
constexpr UFixed(const signed char & value) = delete; |
||||||
|
constexpr UFixed(const unsigned short int & value) = delete; |
||||||
|
constexpr UFixed(const signed short int & value) = delete; |
||||||
|
constexpr UFixed(const unsigned int & value) = delete; |
||||||
|
constexpr UFixed(const signed int & value) = delete; |
||||||
|
constexpr UFixed(const unsigned long int & value) = delete; |
||||||
|
constexpr UFixed(const signed long int & value) = delete; |
||||||
|
constexpr UFixed(const unsigned long long int & value) = delete; |
||||||
|
constexpr UFixed(const signed long long int & value) = delete; |
||||||
|
constexpr UFixed(const double & value); |
||||||
|
constexpr UFixed(const float & value); |
||||||
|
constexpr UFixed(const long double & value); |
||||||
|
|
||||||
|
public: |
||||||
|
constexpr InternalType getInternal(void) const; |
||||||
|
constexpr IntegerType getInteger(void) const; |
||||||
|
constexpr FractionType getFraction(void) const; |
||||||
|
|
||||||
|
constexpr explicit operator IntegerType(void) const; |
||||||
|
constexpr explicit operator float(void) const; |
||||||
|
constexpr explicit operator double(void) const; |
||||||
|
constexpr explicit operator long double(void) const; |
||||||
|
|
||||||
|
template< unsigned IntegerOut, unsigned FractionOut > |
||||||
|
constexpr explicit operator UFixed<IntegerOut, FractionOut>(void) const; |
||||||
|
|
||||||
|
constexpr static UFixed fromInternal(const InternalType & value); |
||||||
|
|
||||||
|
UFixed & operator +=(const UFixed & other); |
||||||
|
UFixed & operator -=(const UFixed & other); |
||||||
|
UFixed & operator *=(const UFixed & other); |
||||||
|
UFixed & operator /=(const UFixed & other); |
||||||
|
|
||||||
|
public: |
||||||
|
constexpr const static UFixed Epsilon = UFixed::fromInternal(1); |
||||||
|
constexpr const static UFixed MinValue = UFixed::fromInternal(0); |
||||||
|
constexpr const static UFixed MaxValue = UFixed::fromInternal(~0); |
||||||
|
|
||||||
|
// Pi, E, Phi and Tau will never be representable by 0 integer fixed points
|
||||||
|
}; |
||||||
|
|
||||||
|
FIXED_POINTS_END_NAMESPACE |
||||||
|
|
||||||
|
#include "UFixed0MemberFunctions.h" |
||||||
|
#include "UFixed0FreeFunctions.h" |
@ -0,0 +1,209 @@ |
|||||||
|
// Copyright 2017-2018 Pharap
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
FIXED_POINTS_BEGIN_NAMESPACE |
||||||
|
|
||||||
|
//
|
||||||
|
// Literal-type Operators
|
||||||
|
// Generated by macro to make maintenance easier
|
||||||
|
//
|
||||||
|
|
||||||
|
#define LOGIC_OPERATOR( type, op )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator op (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return (left op UFixed<0, Fraction>(right));\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator op (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return (UFixed<0, Fraction>(left) op right);\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATOR_EQ( type )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator == (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return false;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator == (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return false;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATOR_NE( type )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator != (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return true;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator != (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return true;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATOR_LT( type )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator < (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return true;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator < (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return false;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATOR_LTE( type )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator <= (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return true;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator <= (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return false;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATOR_GT( type )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator > (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return false;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator > (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return true;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATOR_GTE( type )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator >= (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return false;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr bool operator >= (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return true;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define ARITHMETIC_OPERATOR( type, op )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr UFixed<0, Fraction> operator op (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return (left op UFixed<0, Fraction>(right));\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr UFixed<0, Fraction> operator op (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return (UFixed<0, Fraction>(left) op right);\
|
||||||
|
} |
||||||
|
|
||||||
|
#define DELETED_ARITHMETIC_OPERATOR( type, op )\ |
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr UFixed<0, Fraction> operator op (const UFixed<0, Fraction> & left, const type & right)\
|
||||||
|
{\
|
||||||
|
return 0;\
|
||||||
|
}\
|
||||||
|
\
|
||||||
|
template< unsigned Fraction >\
|
||||||
|
constexpr UFixed<0, Fraction> operator op (const type & left, const UFixed<0, Fraction> & right)\
|
||||||
|
{\
|
||||||
|
return 0;\
|
||||||
|
} |
||||||
|
|
||||||
|
#define LOGIC_OPERATORS( type ) \ |
||||||
|
LOGIC_OPERATOR( type, == )\
|
||||||
|
LOGIC_OPERATOR( type, != )\
|
||||||
|
LOGIC_OPERATOR( type, < )\
|
||||||
|
LOGIC_OPERATOR( type, <= )\
|
||||||
|
LOGIC_OPERATOR( type, > )\
|
||||||
|
LOGIC_OPERATOR( type, >= ) |
||||||
|
|
||||||
|
#define ARITHMETIC_OPERATORS( type ) \ |
||||||
|
ARITHMETIC_OPERATOR( type, + )\
|
||||||
|
ARITHMETIC_OPERATOR( type, - )\
|
||||||
|
ARITHMETIC_OPERATOR( type, * )\
|
||||||
|
ARITHMETIC_OPERATOR( type, / ) |
||||||
|
|
||||||
|
#define DELETED_LOGIC_OPERATORS( type ) \ |
||||||
|
DELETED_LOGIC_OPERATOR_EQ( type )\
|
||||||
|
DELETED_LOGIC_OPERATOR_NE( type )\
|
||||||
|
DELETED_LOGIC_OPERATOR_LT( type )\
|
||||||
|
DELETED_LOGIC_OPERATOR_LTE( type )\
|
||||||
|
DELETED_LOGIC_OPERATOR_GT( type )\
|
||||||
|
DELETED_LOGIC_OPERATOR_GTE( type ) |
||||||
|
|
||||||
|
#define DELETED_ARITHMETIC_OPERATORS( type ) \ |
||||||
|
DELETED_ARITHMETIC_OPERATOR( type, + )\
|
||||||
|
DELETED_ARITHMETIC_OPERATOR( type, - )\
|
||||||
|
DELETED_ARITHMETIC_OPERATOR( type, * )\
|
||||||
|
DELETED_ARITHMETIC_OPERATOR( type, / ) |
||||||
|
|
||||||
|
#define OPERATORS( type ) \ |
||||||
|
LOGIC_OPERATORS( type )\
|
||||||
|
ARITHMETIC_OPERATORS( type ) |
||||||
|
|
||||||
|
#define DELETED_OPERATORS( type ) \ |
||||||
|
DELETED_LOGIC_OPERATORS( type )\
|
||||||
|
DELETED_ARITHMETIC_OPERATORS( type ) |
||||||
|
|
||||||
|
OPERATORS( float ) |
||||||
|
OPERATORS( double ) |
||||||
|
OPERATORS( long double ) |
||||||
|
|
||||||
|
DELETED_OPERATORS( char ) |
||||||
|
DELETED_OPERATORS( unsigned char ) |
||||||
|
DELETED_OPERATORS( signed char ) |
||||||
|
DELETED_OPERATORS( unsigned short int ) |
||||||
|
DELETED_OPERATORS( signed short int ) |
||||||
|
DELETED_OPERATORS( unsigned int ) |
||||||
|
DELETED_OPERATORS( signed int ) |
||||||
|
DELETED_OPERATORS( unsigned long int ) |
||||||
|
DELETED_OPERATORS( signed long int ) |
||||||
|
DELETED_OPERATORS( unsigned long long int ) |
||||||
|
DELETED_OPERATORS( signed long long int ) |
||||||
|
|
||||||
|
// Prevent Macro-bleed:
|
||||||
|
|
||||||
|
#undef DELETED_OPERATORS |
||||||
|
#undef OPERATORS |
||||||
|
#undef DELETED_ARITHMETIC_OPERATORS |
||||||
|
#undef DELETED_LOGIC_OPERATORS |
||||||
|
#undef ARITHMETIC_OPERATORS |
||||||
|
#undef LOGIC_OPERATORS |
||||||
|
#undef DELETED_ARITHMETIC_OPERATOR |
||||||
|
#undef ARITHMETIC_OPERATOR |
||||||
|
|
||||||
|
#undef DELETED_LOGIC_OPERATOR_EQ |
||||||
|
#undef DELETED_LOGIC_OPERATOR_NE |
||||||
|
#undef DELETED_LOGIC_OPERATOR_LT |
||||||
|
#undef DELETED_LOGIC_OPERATOR_LTE |
||||||
|
#undef DELETED_LOGIC_OPERATOR_GT |
||||||
|
#undef DELETED_LOGIC_OPERATOR_GTE |
||||||
|
|
||||||
|
FIXED_POINTS_END_NAMESPACE |
@ -0,0 +1,175 @@ |
|||||||
|
// Copyright 2017-2018 Pharap
|
||||||
|
//
|
||||||
|
// Licensed under the Apache License, Version 2.0 (the "License");
|
||||||
|
// you may not use this file except in compliance with the License.
|
||||||
|
// You may obtain a copy of the License at
|
||||||
|
//
|
||||||
|
// http://www.apache.org/licenses/LICENSE-2.0
|
||||||
|
//
|
||||||
|
// Unless required by applicable law or agreed to in writing, software
|
||||||
|
// distributed under the License is distributed on an "AS IS" BASIS,
|
||||||
|
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
|
||||||
|
// See the License for the specific language governing permissions and
|
||||||
|
// limitations under the License.
|
||||||
|
|
||||||
|
FIXED_POINTS_BEGIN_NAMESPACE |
||||||
|
|
||||||
|
//
|
||||||
|
// Constructors
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::UFixed(const RawType & value) |
||||||
|
: value(static_cast<InternalType>(value)) |
||||||
|
{ |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::UFixed(void) |
||||||
|
: value(0) |
||||||
|
{ |
||||||
|
} |
||||||
|
|
||||||
|
// Here the comma operator is used to circumvent an unused parameter warning
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::UFixed(const IntegerType & integer, const FractionType & fraction) |
||||||
|
: value((integer, fraction)) |
||||||
|
{ |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::UFixed(const double & value) |
||||||
|
: value(static_cast<InternalType>(value * static_cast<double>(Scale))) |
||||||
|
{ |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::UFixed(const float & value) |
||||||
|
: value(static_cast<InternalType>(value * static_cast<float>(Scale))) |
||||||
|
{ |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::UFixed(const long double & value) |
||||||
|
: value(static_cast<InternalType>(value * static_cast<long double>(Scale))) |
||||||
|
{ |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Getters
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr typename UFixed<0, Fraction>::InternalType UFixed<0, Fraction>::getInternal(void) const |
||||||
|
{ |
||||||
|
return this->value; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr typename UFixed<0, Fraction>::IntegerType UFixed<0, Fraction>::getInteger(void) const |
||||||
|
{ |
||||||
|
return 0; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr typename UFixed<0, Fraction>::FractionType UFixed<0, Fraction>::getFraction(void) const |
||||||
|
{ |
||||||
|
return static_cast<FractionType>(this->value) & FractionMask; |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Cast Operators
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::operator IntegerType(void) const |
||||||
|
{ |
||||||
|
return this->getInteger(); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::operator float(void) const |
||||||
|
{ |
||||||
|
return ((this->value & IdentityMask) * (1.0F / Scale)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::operator double(void) const |
||||||
|
{ |
||||||
|
return ((this->value & IdentityMask) * (1.0 / Scale)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction>::operator long double(void) const |
||||||
|
{ |
||||||
|
return ((this->value & IdentityMask) * (1.0L / Scale)); |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
template< unsigned IntegerOut, unsigned FractionOut > |
||||||
|
constexpr UFixed<0, Fraction>::operator UFixed<IntegerOut, FractionOut>(void) const |
||||||
|
{ |
||||||
|
using OutputType = UFixed<IntegerOut, FractionOut>; |
||||||
|
using OutputInternalType = typename OutputType::InternalType; |
||||||
|
using OutputShiftType = typename OutputType::ShiftType; |
||||||
|
|
||||||
|
using InputType = UFixed<0, Fraction>; |
||||||
|
using InputShiftType = typename InputType::ShiftType; |
||||||
|
|
||||||
|
return |
||||||
|
(FractionOut > FractionSize) ? |
||||||
|
OutputType::fromInternal(static_cast<OutputInternalType>(static_cast<OutputShiftType>(this->value) << ((FractionOut > FractionSize) ? (FractionOut - FractionSize) : 0))) : |
||||||
|
(FractionSize > FractionOut) ? |
||||||
|
OutputType::fromInternal(static_cast<OutputInternalType>(static_cast<InputShiftType>(this->value) >> ((FractionSize > FractionOut) ? (FractionSize - FractionOut) : 0))) : |
||||||
|
OutputType::fromInternal(this->value); |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Static Functions
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
constexpr UFixed<0, Fraction> UFixed<0, Fraction>::fromInternal(const typename UFixed<0, Fraction>::InternalType & value) |
||||||
|
{ |
||||||
|
return UFixed<0, Fraction>(RawType(value)); |
||||||
|
} |
||||||
|
|
||||||
|
//
|
||||||
|
// Compound Assignment Operators
|
||||||
|
//
|
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
UFixed<0, Fraction> & UFixed<0, Fraction>::operator +=(const UFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
this->value += other.value; |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
UFixed<0, Fraction> & UFixed<0, Fraction>::operator -=(const UFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
this->value -= other.value; |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
UFixed<0, Fraction> & UFixed<0, Fraction>::operator *=(const UFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
using InternalType = typename UFixed<0, Fraction>::InternalType; |
||||||
|
using PrecisionType = typename UFixed<0, Fraction * 2>::InternalType; |
||||||
|
const PrecisionType temp = (static_cast<PrecisionType>(this->value) * static_cast<PrecisionType>(other.value)) >> FractionSize; |
||||||
|
this->value = static_cast<InternalType>(temp); |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
template< unsigned Fraction > |
||||||
|
UFixed<0, Fraction> & UFixed<0, Fraction>::operator /=(const UFixed<0, Fraction> & other) |
||||||
|
{ |
||||||
|
using InternalType = typename UFixed<0, Fraction>::InternalType; |
||||||
|
using PrecisionType = typename UFixed<0, Fraction * 2>::InternalType; |
||||||
|
const PrecisionType temp = (static_cast<PrecisionType>(this->value) << FractionSize) / static_cast<PrecisionType>(other.value); |
||||||
|
this->value = static_cast<InternalType>(temp); |
||||||
|
return *this; |
||||||
|
} |
||||||
|
|
||||||
|
FIXED_POINTS_END_NAMESPACE |
Loading…
Reference in new issue