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Numerics library

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

Contents

[edit] Mathematical functions and types

[edit] Common mathematical functions

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

[edit] Mathematical special functions (since C++17)

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

[edit] Mathematical constants (since C++20)

The header <numbers> provides several mathematical constants, such as std::numbers::pi or std::numbers::sqrt2

[edit] Basic linear algebra algorithms (since C++26)

The header <linalg> provides basic linear algebra algorithms which are based on BLAS.

[edit] Data-parallel types (since C++26)

The header <simd> provides portable types for explicitly stating data-parallelism and structuring data for more efficient SIMD access.

[edit] Complex number arithmetic

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

[edit] Numeric arrays

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

[edit] Numeric algorithms

The header <numeric> provides numeric algorithms below:

[edit] Factor operations

Defined in header <numeric>
(C++17)
computes the greatest common divisor of two integers
(function template) [edit]
(C++17)
computes the least common multiple of two integers
(function template) [edit]

[edit] Interpolation operations

Defined in header <numeric>
(C++20)
midpoint between two numbers or pointers
(function template) [edit]
Defined in header <cmath>
(C++20)
linear interpolation function
(function) [edit]

[edit] Saturation arithmetic (since C++26)

Defined in header <numeric>
(C++26)
saturating addition operation on two integers
(function template) [edit]
(C++26)
saturating subtraction operation on two integers
(function template) [edit]
(C++26)
saturating multiplication operation on two integers
(function template) [edit]
(C++26)
saturating division operation on two integers
(function template) [edit]
returns an integer value clamped to the range of a another integer type
(function template) [edit]

[edit] Numeric operations

Defined in header <numeric>
(C++11)
fills a range with successive increments of the starting value
(function template) [edit]
fills a range with successive increments of the starting value
(algorithm function object)[edit]
sums up or folds a range of elements
(function template) [edit]
(C++17)
similar to std::accumulate, except out of order
(function template) [edit]
applies an invocable, then reduces out of order
(function template) [edit]
computes the inner product of two ranges of elements
(function template) [edit]
computes the differences between adjacent elements in a range
(function template) [edit]
computes the partial sum of a range of elements
(function template) [edit]
similar to std::partial_sum, includes the ith input element in the ith sum
(function template) [edit]
similar to std::partial_sum, excludes the ith input element from the ith sum
(function template) [edit]
applies an invocable, then calculates inclusive scan
(function template) [edit]
applies an invocable, then calculates exclusive scan
(function template) [edit]

[edit] Miscellanous

[edit] 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.

[edit] 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.

[edit] Bit manipulation (since C++20)

The header <bit> provides several function templates to access, manipulate, and process individual bits and bit sequences.

Defined in header <bit>
Defined in namespace std
(C++20)
reinterpret the object representation of one type as that of another
(function template) [edit]
(C++23)
reverses the bytes in the given integer value
(function template) [edit]
checks if a number is an integral power of 2
(function template) [edit]
(C++20)
finds the smallest integral power of two not less than the given value
(function template) [edit]
(C++20)
finds the largest integral power of two not greater than the given value
(function template) [edit]
(C++20)
finds the smallest number of bits needed to represent the given value
(function template) [edit]
(C++20)
computes the result of bitwise left-rotation
(function template) [edit]
(C++20)
computes the result of bitwise right-rotation
(function template) [edit]
counts the number of consecutive 0 bits, starting from the most significant bit
(function template) [edit]
counts the number of consecutive 1 bits, starting from the most significant bit
(function template) [edit]
counts the number of consecutive 0 bits, starting from the least significant bit
(function template) [edit]
counts the number of consecutive 1 bits, starting from the least significant bit
(function template) [edit]
(C++20)
counts the number of 1 bits in an unsigned integer
(function template) [edit]
(C++20)
indicates the endianness of scalar types
(enum) [edit]

[edit] See also

C documentation for Numerics