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@ -6,12 +6,6 @@
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#pragma once
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#pragma once
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#if __cplusplus >= 201402L
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#define CONSTEXPR14 constexpr
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#else
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#define CONSTEXPR14
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#endif
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#include <cstddef> // for size_t
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#include <cstddef> // for size_t
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#include <cstdint>
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#include <cstdint>
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#include <exception>
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#include <exception>
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@ -105,7 +99,7 @@ constexpr B next_to_base(N rhs) {
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struct divide_by_zero : std::exception {};
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struct divide_by_zero : std::exception {};
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> divide(
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constexpr FixedPoint<I, F> divide(
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FixedPoint<I, F> numerator, FixedPoint<I, F> denominator, FixedPoint<I, F>& remainder,
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FixedPoint<I, F> numerator, FixedPoint<I, F> denominator, FixedPoint<I, F>& remainder,
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typename std::enable_if<type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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typename std::enable_if<type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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@ -125,7 +119,7 @@ CONSTEXPR14 FixedPoint<I, F> divide(
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}
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}
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> divide(
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constexpr FixedPoint<I, F> divide(
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FixedPoint<I, F> numerator, FixedPoint<I, F> denominator, FixedPoint<I, F>& remainder,
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FixedPoint<I, F> numerator, FixedPoint<I, F> denominator, FixedPoint<I, F>& remainder,
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typename std::enable_if<!type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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typename std::enable_if<!type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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@ -195,7 +189,7 @@ CONSTEXPR14 FixedPoint<I, F> divide(
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// this is the usual implementation of multiplication
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// this is the usual implementation of multiplication
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> multiply(
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constexpr FixedPoint<I, F> multiply(
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FixedPoint<I, F> lhs, FixedPoint<I, F> rhs,
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FixedPoint<I, F> lhs, FixedPoint<I, F> rhs,
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typename std::enable_if<type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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typename std::enable_if<type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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@ -214,7 +208,7 @@ CONSTEXPR14 FixedPoint<I, F> multiply(
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// it is slightly slower, but is more robust since it doesn't
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// it is slightly slower, but is more robust since it doesn't
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// require and upgraded type
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// require and upgraded type
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> multiply(
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constexpr FixedPoint<I, F> multiply(
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FixedPoint<I, F> lhs, FixedPoint<I, F> rhs,
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FixedPoint<I, F> lhs, FixedPoint<I, F> rhs,
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typename std::enable_if<!type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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typename std::enable_if<!type_from_size<I + F>::next_size::is_specialized>::type* = nullptr) {
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@ -283,7 +277,7 @@ public: // constructors
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public: // conversion
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public: // conversion
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template <size_t I2, size_t F2>
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template <size_t I2, size_t F2>
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CONSTEXPR14 explicit FixedPoint(FixedPoint<I2, F2> other) {
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constexpr explicit FixedPoint(FixedPoint<I2, F2> other) {
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static_assert(I2 <= I && F2 <= F, "Scaling conversion can only upgrade types");
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static_assert(I2 <= I && F2 <= F, "Scaling conversion can only upgrade types");
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using T = FixedPoint<I2, F2>;
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using T = FixedPoint<I2, F2>;
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@ -352,81 +346,81 @@ public: // unary operators
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return FixedPoint::from_base(+data_);
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return FixedPoint::from_base(+data_);
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}
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}
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CONSTEXPR14 FixedPoint& operator++() {
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constexpr FixedPoint& operator++() {
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data_ += one;
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data_ += one;
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return *this;
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return *this;
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}
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}
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CONSTEXPR14 FixedPoint& operator--() {
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constexpr FixedPoint& operator--() {
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data_ -= one;
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data_ -= one;
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return *this;
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return *this;
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}
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}
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CONSTEXPR14 FixedPoint operator++(int) {
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constexpr FixedPoint operator++(int) {
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FixedPoint tmp(*this);
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FixedPoint tmp(*this);
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data_ += one;
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data_ += one;
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return tmp;
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return tmp;
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}
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}
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CONSTEXPR14 FixedPoint operator--(int) {
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constexpr FixedPoint operator--(int) {
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FixedPoint tmp(*this);
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FixedPoint tmp(*this);
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data_ -= one;
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data_ -= one;
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return tmp;
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return tmp;
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}
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}
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public: // basic math operators
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public: // basic math operators
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CONSTEXPR14 FixedPoint& operator+=(FixedPoint n) {
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constexpr FixedPoint& operator+=(FixedPoint n) {
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data_ += n.data_;
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data_ += n.data_;
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return *this;
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return *this;
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}
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}
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CONSTEXPR14 FixedPoint& operator-=(FixedPoint n) {
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constexpr FixedPoint& operator-=(FixedPoint n) {
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data_ -= n.data_;
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data_ -= n.data_;
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return *this;
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return *this;
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}
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}
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CONSTEXPR14 FixedPoint& operator*=(FixedPoint n) {
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constexpr FixedPoint& operator*=(FixedPoint n) {
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return assign(detail::multiply(*this, n));
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return assign(detail::multiply(*this, n));
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}
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}
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CONSTEXPR14 FixedPoint& operator/=(FixedPoint n) {
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constexpr FixedPoint& operator/=(FixedPoint n) {
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FixedPoint temp;
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FixedPoint temp;
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return assign(detail::divide(*this, n, temp));
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return assign(detail::divide(*this, n, temp));
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}
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}
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private:
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private:
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CONSTEXPR14 FixedPoint& assign(FixedPoint rhs) {
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constexpr FixedPoint& assign(FixedPoint rhs) {
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data_ = rhs.data_;
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data_ = rhs.data_;
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return *this;
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return *this;
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}
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}
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public: // binary math operators, effects underlying bit pattern since these
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public: // binary math operators, effects underlying bit pattern since these
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// don't really typically make sense for non-integer values
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// don't really typically make sense for non-integer values
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CONSTEXPR14 FixedPoint& operator&=(FixedPoint n) {
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constexpr FixedPoint& operator&=(FixedPoint n) {
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data_ &= n.data_;
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data_ &= n.data_;
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return *this;
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return *this;
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}
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}
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CONSTEXPR14 FixedPoint& operator|=(FixedPoint n) {
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constexpr FixedPoint& operator|=(FixedPoint n) {
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data_ |= n.data_;
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data_ |= n.data_;
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return *this;
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return *this;
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}
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}
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CONSTEXPR14 FixedPoint& operator^=(FixedPoint n) {
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constexpr FixedPoint& operator^=(FixedPoint n) {
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data_ ^= n.data_;
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data_ ^= n.data_;
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return *this;
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return *this;
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}
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}
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template <class Integer,
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template <class Integer,
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class = typename std::enable_if<std::is_integral<Integer>::value>::type>
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class = typename std::enable_if<std::is_integral<Integer>::value>::type>
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CONSTEXPR14 FixedPoint& operator>>=(Integer n) {
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constexpr FixedPoint& operator>>=(Integer n) {
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data_ >>= n;
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data_ >>= n;
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return *this;
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return *this;
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}
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}
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template <class Integer,
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template <class Integer,
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class = typename std::enable_if<std::is_integral<Integer>::value>::type>
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class = typename std::enable_if<std::is_integral<Integer>::value>::type>
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CONSTEXPR14 FixedPoint& operator<<=(Integer n) {
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constexpr FixedPoint& operator<<=(Integer n) {
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data_ <<= n;
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data_ <<= n;
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return *this;
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return *this;
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}
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}
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@ -484,7 +478,7 @@ public: // conversion to basic types
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}
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}
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public:
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public:
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CONSTEXPR14 void swap(FixedPoint& rhs) {
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constexpr void swap(FixedPoint& rhs) {
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using std::swap;
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using std::swap;
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swap(data_, rhs.data_);
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swap(data_, rhs.data_);
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}
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}
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@ -496,8 +490,8 @@ public:
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// if we have the same fractional portion, but differing integer portions, we trivially upgrade the
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// if we have the same fractional portion, but differing integer portions, we trivially upgrade the
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// smaller type
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// smaller type
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template <size_t I1, size_t I2, size_t F>
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template <size_t I1, size_t I2, size_t F>
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CONSTEXPR14 typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator+(
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operator+(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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@ -507,8 +501,8 @@ operator+(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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}
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}
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template <size_t I1, size_t I2, size_t F>
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template <size_t I1, size_t I2, size_t F>
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CONSTEXPR14 typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator-(
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operator-(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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@ -518,8 +512,8 @@ operator-(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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}
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}
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template <size_t I1, size_t I2, size_t F>
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template <size_t I1, size_t I2, size_t F>
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CONSTEXPR14 typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator*(
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operator*(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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@ -529,8 +523,8 @@ operator*(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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}
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}
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template <size_t I1, size_t I2, size_t F>
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template <size_t I1, size_t I2, size_t F>
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CONSTEXPR14 typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type
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constexpr typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type operator/(
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operator/(FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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FixedPoint<I1, F> lhs, FixedPoint<I2, F> rhs) {
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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using T = typename std::conditional<I1 >= I2, FixedPoint<I1, F>, FixedPoint<I2, F>>::type;
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@ -547,75 +541,75 @@ std::ostream& operator<<(std::ostream& os, FixedPoint<I, F> f) {
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// basic math operators
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// basic math operators
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> operator+(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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constexpr FixedPoint<I, F> operator+(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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lhs += rhs;
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lhs += rhs;
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return lhs;
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return lhs;
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}
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}
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> operator-(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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constexpr FixedPoint<I, F> operator-(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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|
lhs -= rhs;
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|
lhs -= rhs;
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|
return lhs;
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|
return lhs;
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|
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|
}
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|
}
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> operator*(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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|
constexpr FixedPoint<I, F> operator*(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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|
lhs *= rhs;
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|
lhs *= rhs;
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|
return lhs;
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|
return lhs;
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|
}
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|
}
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template <size_t I, size_t F>
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template <size_t I, size_t F>
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CONSTEXPR14 FixedPoint<I, F> operator/(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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|
|
constexpr FixedPoint<I, F> operator/(FixedPoint<I, F> lhs, FixedPoint<I, F> rhs) {
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|
lhs /= rhs;
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|
|
lhs /= rhs;
|
|
|
|
return lhs;
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|
|
|
return lhs;
|
|
|
|
}
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|
|
|
}
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|
|
|
|
|
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|
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|
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|
template <size_t I, size_t F, class Number,
|
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|
template <size_t I, size_t F, class Number,
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|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator+(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator+(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
lhs += FixedPoint<I, F>(rhs);
|
|
|
|
lhs += FixedPoint<I, F>(rhs);
|
|
|
|
return lhs;
|
|
|
|
return lhs;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator-(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator-(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
lhs -= FixedPoint<I, F>(rhs);
|
|
|
|
lhs -= FixedPoint<I, F>(rhs);
|
|
|
|
return lhs;
|
|
|
|
return lhs;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator*(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator*(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
lhs *= FixedPoint<I, F>(rhs);
|
|
|
|
lhs *= FixedPoint<I, F>(rhs);
|
|
|
|
return lhs;
|
|
|
|
return lhs;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator/(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator/(FixedPoint<I, F> lhs, Number rhs) {
|
|
|
|
lhs /= FixedPoint<I, F>(rhs);
|
|
|
|
lhs /= FixedPoint<I, F>(rhs);
|
|
|
|
return lhs;
|
|
|
|
return lhs;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator+(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator+(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
tmp += rhs;
|
|
|
|
tmp += rhs;
|
|
|
|
return tmp;
|
|
|
|
return tmp;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator-(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator-(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
tmp -= rhs;
|
|
|
|
tmp -= rhs;
|
|
|
|
return tmp;
|
|
|
|
return tmp;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator*(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator*(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
tmp *= rhs;
|
|
|
|
tmp *= rhs;
|
|
|
|
return tmp;
|
|
|
|
return tmp;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
template <size_t I, size_t F, class Number,
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_arithmetic<Number>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator/(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator/(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
FixedPoint<I, F> tmp(lhs);
|
|
|
|
tmp /= rhs;
|
|
|
|
tmp /= rhs;
|
|
|
|
return tmp;
|
|
|
|
return tmp;
|
|
|
@ -624,13 +618,13 @@ CONSTEXPR14 FixedPoint<I, F> operator/(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
// shift operators
|
|
|
|
// shift operators
|
|
|
|
template <size_t I, size_t F, class Integer,
|
|
|
|
template <size_t I, size_t F, class Integer,
|
|
|
|
class = typename std::enable_if<std::is_integral<Integer>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_integral<Integer>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator<<(FixedPoint<I, F> lhs, Integer rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator<<(FixedPoint<I, F> lhs, Integer rhs) {
|
|
|
|
lhs <<= rhs;
|
|
|
|
lhs <<= rhs;
|
|
|
|
return lhs;
|
|
|
|
return lhs;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
template <size_t I, size_t F, class Integer,
|
|
|
|
template <size_t I, size_t F, class Integer,
|
|
|
|
class = typename std::enable_if<std::is_integral<Integer>::value>::type>
|
|
|
|
class = typename std::enable_if<std::is_integral<Integer>::value>::type>
|
|
|
|
CONSTEXPR14 FixedPoint<I, F> operator>>(FixedPoint<I, F> lhs, Integer rhs) {
|
|
|
|
constexpr FixedPoint<I, F> operator>>(FixedPoint<I, F> lhs, Integer rhs) {
|
|
|
|
lhs >>= rhs;
|
|
|
|
lhs >>= rhs;
|
|
|
|
return lhs;
|
|
|
|
return lhs;
|
|
|
|
}
|
|
|
|
}
|
|
|
@ -699,5 +693,3 @@ constexpr bool operator!=(Number lhs, FixedPoint<I, F> rhs) {
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
} // namespace Common
|
|
|
|
} // namespace Common
|
|
|
|
|
|
|
|
|
|
|
|
#undef CONSTEXPR14
|
|
|
|
|
|
|
|