mysqlns::math Namespace Reference

Functions
template<typename T , std::enable_if_t< std::is_integral< T >::value &&std::is_unsigned< T >::value, bool > = true>
constexpr T	add_bounded (const T x, const T y, const T maximum)
	Return x+y, limited to the given maximum. More...
template<typename T , typename T2 , std::enable_if_t< std::is_integral< T >::value &&std::is_unsigned< T >::value &&std::is_arithmetic< T2 >::value, bool > = true>
constexpr T	multiply_bounded (const T x, const T2 y, const T maximum)
	Return x*y, limited to the given maximum. More...
template<typename T , std::enable_if_t< std::is_integral< T >::value &&std::is_unsigned< T >::value, bool > = true>
constexpr T	ceil_div (const T x, const T y)
	Return ceil(x / y), where x and y are unsigned integer types. More...

Function Documentation

add_bounded()

template<typename T , std::enable_if_t< std::is_integral< T >::value &&std::is_unsigned< T >::value, bool > = true>

constexpr T mysqlns::math::add_bounded ( const T  x, const T  y, const T  maximum  )

constexpr

Return x+y, limited to the given maximum.

Note

This works even when x+y would exceed the maximum for the datatype.

Template Parameters

T	Data type. Must be an unsigned integral datatype.

Parameters

x	The first term.
y	The second term.
maximum	The maximum allowed value.

Returns

The smallest of (x + y) and (maximum), computed as if using infinite precision arithmetic.

ceil_div()

template<typename T , std::enable_if_t< std::is_integral< T >::value &&std::is_unsigned< T >::value, bool > = true>

constexpr T mysqlns::math::ceil_div ( const T  x, const T  y  )

constexpr

Return ceil(x / y), where x and y are unsigned integer types.

multiply_bounded()

template<typename T , typename T2 , std::enable_if_t< std::is_integral< T >::value &&std::is_unsigned< T >::value &&std::is_arithmetic< T2 >::value, bool > = true>

constexpr T mysqlns::math::multiply_bounded ( const T  x, const T2  y, const T  maximum  )

constexpr

Return x*y, limited to the given maximum.

Note

This works even when x * y would exceed the maximum for any of the data type.

Template Parameters

T	Data type for the first factor, the maximum, and the result. This must be an unsigned integral.
T2	datatype for the second factor. This can be any arithmetic type, including floating point types.

Parameters

x	The first factor.
y	The second factor.
maximum	The maximum allowed value.

Returns

The smallest of (x + y) and (maximum), computed as if using infinite precision arithmetic; or 0 if y is negative.