numeric

Numerical algorithm libraries most functions support both iterator and variadics. More...

Detailed Description

Modules
	average
	calculate average
	float_equal_to
	norm
	calculate norm
	stddev
	calculate standard deviation
	sum
	calculate sum
	square_sum

Functions
template<typename ... Ints, std::enable_if_t< conjunction< std::is_integral< Ints >... >::value, int > = 0>
constexpr auto	int_average (Ints... ints)
	get average value of integers(result is floored) More...
template<typename T , typename U , typename E = std::common_type_t<T, U>>
constexpr bool	float_equal (const T &a, const U &b, const E &epsilon=vccc::epsilon< E >())
	Compare if two floating-points are approximately equal. More...
template<typename T1 , typename T2 >
decltype(auto)	lossless_div (const T1 a, const T2 b)
	divide without narrowing More...
template<typename InputIterator >
auto	avg_stddev (InputIterator first, InputIterator last)
	calculate standard deviation and average More...
template<typename T >
constexpr T	square (const T &val)
	get squared value More...

Function Documentation

avg_stddev()

auto vccc::avg_stddev	(	InputIterator	first,
		InputIterator	last
	)

Returns

pair of average and standard deviation

float_equal()

constexpr bool vccc::float_equal ( const T &  a, const U &  b, const E &  epsilon = vccc::epsilon<E>()  )

inlineconstexpr

Default epsilon values are 4.92157e-03f for float and 6.0554545e-06 for double type.
The values must be representable

Return true if both values are smaller or same with epsilon.
Otherwise, return true if diff <= std::min(std::abs(a), std::abs(b)) * epsilon, false otherwise
where diff is std::abs(a - b).

See also

float_equal_to: function object implementing approximately equal of x and y

Template Parameters

T

Parameters

a
b
epsilon

Returns

int_average()

constexpr auto vccc::int_average ( Ints...  ints )

inlineconstexpr

Parameters

...ints

numbers

lossless_div()

decltype(auto) vccc::lossless_div	(	const T1	a,
		const T2	b
	)

Parameters

a	numerator
b	denominator

Returns

\( {\large \frac{a}{b}} \)

square()

constexpr T vccc::square ( const T &  val )

constexpr

Parameters

val

Returns

val * val