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{{title|Numerics library}}
{{cpp/numeric/navbar}}

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==

===[[cpp/numeric/math|Common mathematical functions]]===

The header {{header|cmath}} provides [[cpp/numeric/math|standard C library mathematical functions]] such as {{lc|std::fabs}}, {{lc|std::sqrt}}, and {{lc|std::sin}}.

===[[cpp/numeric/special_math|Mathematical special functions]] {{mark since c++17}}===

The header {{header|cmath}} also provides several mathematical special functions such as {{lc|std::beta}}, {{lc|std::hermite}}, and {{lc|std::cyl_bessel_i}}.

===Complex number arithmetic===

{{dsc begin}}
{{dsc header | complex}}
{{dsc tclass | cpp/numeric/complex | a complex number type }}
{{dsc end}}

===Numeric arrays===

{{dsc begin}}
{{dsc header | valarray}}
{{dsc tclass | cpp/numeric/valarray | numeric arrays, array masks and array slices }}
{{dsc end}}

==Numeric algorithms==

The header {{header|numeric}} provides numeric algorithms below:

===Factor operations===

{{dsc begin}}
{{dsc header | numeric}}
{{dsc inc | cpp/numeric/dsc gcd}}
{{dsc inc | cpp/numeric/dsc lcm}}
{{dsc end}}

===Interpolation operations===

{{dsc begin}}
{{dsc header | numeric}}
{{dsc inc | cpp/numeric/dsc midpoint}}
{{dsc header | cmath}}
{{dsc inc | cpp/numeric/dsc lerp}}
{{dsc end}}

===Numeric operations===

{{dsc begin}}
{{dsc header | numeric}}
{{dsc inc | cpp/algorithm/dsc iota}}
{{dsc inc | cpp/algorithm/dsc accumulate}}
{{dsc inc | cpp/algorithm/dsc reduce}}
{{dsc inc | cpp/algorithm/dsc transform_reduce}}
{{dsc inc | cpp/algorithm/dsc inner_product}}
{{dsc inc | cpp/algorithm/dsc adjacent_difference}}
{{dsc inc | cpp/algorithm/dsc partial_sum}}
{{dsc inc | cpp/algorithm/dsc inclusive_scan}}
{{dsc inc | cpp/algorithm/dsc exclusive_scan}}
{{dsc inc | cpp/algorithm/dsc transform_inclusive_scan}}
{{dsc inc | cpp/algorithm/dsc transform_exclusive_scan}}
{{dsc end}}

==Miscellanous==

===[[cpp/numeric/random|Pseudo-random number generation]]===

The header {{header|random}} defines [[cpp/numeric/random|pseudo-random number generators and numerical distributions]]. The header {{header|cstdlib}} also includes C-style random number generation via {{lc|std::srand}} and {{lc|std::rand}}.

===[[cpp/numeric/ratio|Compile time rational arithmetic]] {{mark since c++11}}===

The header {{header|ratio}} provides [[cpp/numeric/ratio|types and functions for manipulating and storing compile-time ratios]].

===[[cpp/numeric/fenv|Floating-point environment]] {{mark since c++11}}===

The header {{header|cfenv}} defines [[cpp/numeric/fenv|flags and functions related to exceptional floating-point state]], such as overflow and division by zero.

=== Bit manipulation {{mark since c++20}} ===
The header {{header|bit}} provides several function templates to access, manipulate, and process individual bits and bit sequences.

{{dsc begin}}
{{dsc header|bit}}
{{dsc namespace | std }}
{{dsc inc | cpp/numeric/dsc bit_cast}}
{{dsc inc | cpp/numeric/dsc ispow2}}
{{dsc inc | cpp/numeric/dsc ceil2}}
{{dsc inc | cpp/numeric/dsc floor2}}
{{dsc inc | cpp/numeric/dsc log2p1}}
{{dsc inc | cpp/numeric/dsc rotl}}
{{dsc inc | cpp/numeric/dsc rotr}}
{{dsc inc | cpp/numeric/dsc countl_zero}}
{{dsc inc | cpp/numeric/dsc countl_one}}
{{dsc inc | cpp/numeric/dsc countr_zero}}
{{dsc inc | cpp/numeric/dsc countr_one}}
{{dsc inc | cpp/numeric/dsc popcount}}

{{dsc inc | cpp/types/dsc endian}}
{{dsc end}}

===See also===
{{dsc begin}}
{{dsc see c | c/numeric | Numerics}}
{{dsc end}}

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