Numerics library
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] 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) |
| (C++17) |
computes the least common multiple of two integers (function template) |
[edit] Interpolation operations
| Defined in header
<numeric> | |
| (C++20) |
midpoint between two numbers or pointers (function template) |
| Defined in header
<cmath> | |
| (C++20) |
linear interpolation function (function) |
[edit] Saturation arithmetic (since C++26)
| Defined in header
<numeric> | |
| (C++26) |
saturating addition operation on two integers (function template) |
| (C++26) |
saturating subtraction operation on two integers (function template) |
| (C++26) |
saturating multiplication operation on two integers (function template) |
| (C++26) |
saturating division operation on two integers (function template) |
| (C++26) |
returns an integer value clamped to the range of a another integer type (function template) |
[edit] Numeric operations
| Defined in header
<numeric> | |
| (C++11) |
fills a range with successive increments of the starting value (function template) |
| (C++23) |
fills a range with successive increments of the starting value (niebloid) |
| sums up or folds a range of elements (function template) | |
| (C++17) |
similar to std::accumulate, except out of order (function template) |
| (C++17) |
applies an invocable, then reduces out of order (function template) |
| computes the inner product of two ranges of elements (function template) | |
| computes the differences between adjacent elements in a range (function template) | |
| computes the partial sum of a range of elements (function template) | |
| (C++17) |
similar to std::partial_sum, includes the ith input element in the ith sum (function template) |
| (C++17) |
similar to std::partial_sum, excludes the ith input element from the ith sum (function template) |
| (C++17) |
applies an invocable, then calculates inclusive scan (function template) |
| (C++17) |
applies an invocable, then calculates exclusive scan (function template) |
[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) |
| (C++23) |
reverses the bytes in the given integer value (function template) |
| (C++20) |
checks if a number is an integral power of 2 (function template) |
| (C++20) |
finds the smallest integral power of two not less than the given value (function template) |
| (C++20) |
finds the largest integral power of two not greater than the given value (function template) |
| (C++20) |
finds the smallest number of bits needed to represent the given value (function template) |
| (C++20) |
computes the result of bitwise left-rotation (function template) |
| (C++20) |
computes the result of bitwise right-rotation (function template) |
| (C++20) |
counts the number of consecutive 0 bits, starting from the most significant bit (function template) |
| (C++20) |
counts the number of consecutive 1 bits, starting from the most significant bit (function template) |
| (C++20) |
counts the number of consecutive 0 bits, starting from the least significant bit (function template) |
| (C++20) |
counts the number of consecutive 1 bits, starting from the least significant bit (function template) |
| (C++20) |
counts the number of 1 bits in an unsigned integer (function template) |
| (C++20) |
indicates the endianness of scalar types (enum) |
[edit] See also
| C documentation for Numerics
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