Numerics library

The C++ numerics library includes common mathematical functions and types, as well as optimized numeric arrays and support for random number generation.

Mathematical functions and types

Common mathematical functions

The header cmath provides standard C library mathematical functions such as std::fabs, std::sqrt, and std::sin.

Mathematical special functions The header cmath also provides several mathematical special functions such as std::beta, std::hermite, and std::cyl_bessel_i.

(since C++17)

Complex number arithmetic

Defined in header <complex>
complex	a complex number type (class template)

Numeric arrays

Defined in header <valarray>
valarray	numeric arrays, array masks and array slices (class template)

Numeric algorithms

The header numeric provides numeric algorithms below:

Factor operations

Defined in header <numeric>
gcd (C++17)	constexpr function template returning the greatest common divisor of two integers (function template)
lcm (C++17)	constexpr function template returning the least common multiple of two integers (function template)

Numeric operations

Defined in header <numeric>
iota (C++11)	fills a range with successive increments of the starting value (function template)
accumulate	sums up a range of elements (function template)
reduce (C++17)	similar to std::accumulate, except out of order (function template)
transform_reduce (C++17)	applies a functor, then reduces out of order (function template)
inner_product	computes the inner product of two ranges of elements (function template)
adjacent_difference	computes the differences between adjacent elements in a range (function template)
partial_sum	computes the partial sum of a range of elements (function template)
inclusive_scan (C++17)	similar to std::partial_sum, includes the ith input element in the ith sum (function template)
exclusive_scan (C++17)	similar to std::partial_sum, excludes the ith input element from the ith sum (function template)
transform_inclusive_scan (C++17)	applies a functor, then calculates inclusive scan (function template)
transform_exclusive_scan (C++17)	applies a functor, then calculates exclusive scan (function template)

Miscellanous

Pseudo-random number generation

The header random defines pseudo-random number generators and numerical distributions. The header cstdlib also includes C-style random number generation via std::srand and std::rand.

Compile time rational arithmetic (since C++11)

The header ratio provides types and functions for manipulating and storing compile-time ratios.

Floating-point environment(since C++11)

The header cfenv defines flags and functions related to exceptional floating-point state, such as overflow and division by zero.

See also

C documentation for Numerics