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FixedPointsArduino/src/FixedPoints/UFixedFreeFunctions.h

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FIXED_POINTS_BEGIN_NAMESPACE
//
// multiply
//
template< unsigned Integer, unsigned Fraction >
constexpr UFixed<Integer * 2, Fraction * 2> multiply(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
using ResultType = UFixed<Integer * 2, Fraction * 2>;
using InternalType = typename ResultType::InternalType;
return ResultType::fromInternal(static_cast<InternalType>(static_cast<InternalType>(left.getInternal()) * static_cast<InternalType>(right.getInternal())));
}
//
// Basic Logic Operations
//
template< unsigned Integer, unsigned Fraction >
constexpr bool operator ==(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
return (left.getInternal() == right.getInternal());
}
template< unsigned Integer, unsigned Fraction >
constexpr bool operator !=(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
return (left.getInternal() != right.getInternal());
}
template< unsigned Integer, unsigned Fraction >
constexpr bool operator <(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
return (left.getInternal() < right.getInternal());
}
template< unsigned Integer, unsigned Fraction >
constexpr bool operator >(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
return (left.getInternal() > right.getInternal());
}
template< unsigned Integer, unsigned Fraction >
constexpr bool operator <=(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
return (left.getInternal() <= right.getInternal());
}
template< unsigned Integer, unsigned Fraction >
constexpr bool operator >=(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
return (left.getInternal() >= right.getInternal());
}
//
// Inter-size Logic Operations
//
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr bool operator ==(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator == has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) == static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr bool operator !=(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator != has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) != static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr bool operator <(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator < has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) < static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr bool operator >(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator > has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) > static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr bool operator <=(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator <= has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) <= static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr bool operator >=(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator >= has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) >= static_cast<CompareType>(right));
}
//
// Basic Arithmetic Operations
//
template< unsigned Integer, unsigned Fraction >
constexpr UFixed<Integer, Fraction> operator +(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
using InternalType = typename UFixed<Integer, Fraction>::InternalType;
return UFixed<Integer, Fraction>::fromInternal(static_cast<InternalType>(left.getInternal() + right.getInternal()));
}
template< unsigned Integer, unsigned Fraction >
constexpr UFixed<Integer, Fraction> operator -(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
using InternalType = typename UFixed<Integer, Fraction>::InternalType;
return UFixed<Integer, Fraction>::fromInternal(static_cast<InternalType>(left.getInternal() - right.getInternal()));
}
template< unsigned Integer, unsigned Fraction >
constexpr UFixed<Integer, Fraction> operator *(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
using InternalType = typename UFixed<Integer, Fraction>::InternalType;
using PrecisionType = typename UFixed<Integer * 2, Fraction * 2>::InternalType;
return UFixed<Integer, Fraction>::fromInternal(static_cast<InternalType>((static_cast<PrecisionType>(left.getInternal()) * static_cast<PrecisionType>(right.getInternal())) >> Fraction));
}
template< unsigned Integer, unsigned Fraction >
constexpr UFixed<Integer, Fraction> operator /(const UFixed<Integer, Fraction> & left, const UFixed<Integer, Fraction> & right)
{
using InternalType = typename UFixed<Integer, Fraction>::InternalType;
using PrecisionType = typename UFixed<Integer * 2, Fraction * 2>::InternalType;
return UFixed<Integer, Fraction>::fromInternal(static_cast<InternalType>((static_cast<PrecisionType>(left.getInternal()) << Fraction) / static_cast<PrecisionType>(right.getInternal())));
}
//
// Inter-size Arithmetic Operations
//
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr auto operator +(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
-> FIXED_POINTS_DETAILS::LargerType< UFixed<IntegerLeft, FractionLeft>, UFixed<IntegerRight, FractionRight> >
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator + has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) + static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr auto operator -(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
-> FIXED_POINTS_DETAILS::LargerType< UFixed<IntegerLeft, FractionLeft>, UFixed<IntegerRight, FractionRight> >
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator - has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) - static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr auto operator *(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
-> FIXED_POINTS_DETAILS::LargerType< UFixed<IntegerLeft, FractionLeft>, UFixed<IntegerRight, FractionRight> >
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator * has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) * static_cast<CompareType>(right));
}
template< unsigned IntegerLeft, unsigned FractionLeft, unsigned IntegerRight, unsigned FractionRight >
constexpr auto operator /(const UFixed<IntegerLeft, FractionLeft> & left, const UFixed<IntegerRight, FractionRight> & right)
-> FIXED_POINTS_DETAILS::LargerType< UFixed<IntegerLeft, FractionLeft>, UFixed<IntegerRight, FractionRight> >
{
using LeftType = UFixed<IntegerLeft, FractionLeft>;
using RightType = UFixed<IntegerRight, FractionRight>;
static_assert(LeftType::InternalSize != RightType::InternalSize, "operator / has ambiguous result");
using CompareType = FIXED_POINTS_DETAILS::LargerType<LeftType, RightType>;
return (static_cast<CompareType>(left) / static_cast<CompareType>(right));
}
//
// Literal-type Operators
// Generated by macro to make maintenance easier
//
#define LOGIC_OPERATOR( type, op )\
template< unsigned Integer, unsigned Fraction >\
constexpr bool operator op (const UFixed<Integer, Fraction> & left, const type & right)\
{\
return (left op UFixed<Integer, Fraction>(right));\
}\
\
template< unsigned Integer, unsigned Fraction >\
constexpr bool operator op (const type & left, const UFixed<Integer, Fraction> & right)\
{\
return (UFixed<Integer, Fraction>(left) op right);\
}
#define ARITHMETIC_OPERATOR( type, op )\
template< unsigned Integer, unsigned Fraction >\
constexpr UFixed<Integer, Fraction> operator op (const UFixed<Integer, Fraction> & left, const type & right)\
{\
return (left op UFixed<Integer, Fraction>(right));\
}\
\
template< unsigned Integer, unsigned Fraction >\
constexpr UFixed<Integer, Fraction> operator op (const type & left, const UFixed<Integer, Fraction> & right)\
{\
return (UFixed<Integer, Fraction>(left) op right);\
}
#define OPERATORS( opType, op ) \
opType##_OPERATOR( FIXED_POINTS_DETAILS::IntegerLiteral, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::IntegerLiteralU, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::IntegerLiteralL, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::IntegerLiteralUL, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::IntegerLiteralLL, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::IntegerLiteralULL, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::DecimalLiteral, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::DecimalLiteralF, op )\
opType##_OPERATOR( FIXED_POINTS_DETAILS::DecimalLiteralL, op )
#define LOGIC_OPERATORS( op ) OPERATORS( LOGIC, op )
#define ARITHMETIC_OPERATORS( op ) OPERATORS( ARITHMETIC, op )
LOGIC_OPERATORS( == )
LOGIC_OPERATORS( != )
LOGIC_OPERATORS( < )
LOGIC_OPERATORS( > )
LOGIC_OPERATORS( <= )
LOGIC_OPERATORS( >= )
ARITHMETIC_OPERATORS( + )
ARITHMETIC_OPERATORS( - )
ARITHMETIC_OPERATORS( * )
ARITHMETIC_OPERATORS( / )
// Prevent Macro-bleed:
#undef LOGIC_OPERATOR
#undef ARITHMETIC_OPERATOR
#undef OPERATORS
#undef LOGIC_OPERATORS
#undef ARITHMETIC_OPERATORS
FIXED_POINTS_END_NAMESPACE