std::sqrt, std::sqrtf, std::sqrtl

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< cpp‎ | numeric‎ | math
Common mathematical functions
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sqrt
(C++11)
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Macro constants
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Defined in header <cmath>
(1)
float       sqrt ( float num ) ;

double      sqrt ( double num );

long double sqrt ( long double num ) ;
(until C++23)
/*floating-point-type*/
            sqrt ( /*floating-point-type*/ num ) ;
(since C++23)
(constexpr since C++26)
float       sqrtf( float num );
(2) (since C++11)
(constexpr since C++26)
long double sqrtl( long double num ) ;
(3) (since C++11)
(constexpr since C++26)
SIMD overload (since C++26)
Defined in header <simd>
template < /*math-floating-point*/ V >

constexpr /*deduced-simd-t*/<V>

            sqrt ( const V& v_num ) ;
(S) (since C++26)
Additional overloads (since C++11)
Defined in header <cmath>
template < class Integer >
double      sqrt ( Integer num ) ;
(A) (constexpr since C++26)
1-3) Computes the square root of num. The library provides overloads of std::sqrt for all cv-unqualified floating-point types as the type of the parameter. (since C++23)
S) The SIMD overload performs an element-wise std::sqrt on v_num.
(See math-floating-point and deduced-simd-t
(since C++26)
A) Additional overloads are provided for all integer types, which are treated as double.
(since C++11)

Parameters

num - floating-point or integer value

Return value

If no errors occur, square root of num ( num

If a domain error occurs, an implementation-defined value is returned (NaN where supported).

If a range error occurs due to underflow, the correct result (after rounding) is returned.

Error handling

Errors are reported as specified in math_errhandling.

Domain error occurs if num is less than zero.

If the implementation supports IEEE floating-point arithmetic (IEC 60559),

  • If the argument is less than -0, FE_INVALID is raised and NaN is returned.
  • If the argument is +∞ or ±0, it is returned, unmodified.
  • If the argument is NaN, NaN is returned.

Notes

std::sqrt arithmetic operators and the function std::fma. Other functions, including std::pow

The additional overloads are not required to be provided exactly as (A). They only need to be sufficient to ensure that for their argument num of integer type, std::sqrt(num) has the same effect as std:: sqrt ( static_cast < double > (num) )

Example

#include <cerrno>
#include <cfenv>
#include <cmath>
#include <cstring>
#include <iostream>
// #pragma STDC FENV_ACCESS ON
 
int main()
{
    // normal use
    std::cout << "sqrt(100) = " << std::sqrt(100) << '\n'
              << "sqrt(2) = " << std::sqrt(2) << '\n'
              << "golden ratio = " << (1 + std::sqrt(5)) / 2 << '\n';
 
    // special values
    std::cout << "sqrt(-0) = " << std::sqrt(-0.0) << '\n';
 
    // error handling
    errno = 0;
    std::feclearexcept(FE_ALL_EXCEPT);
 
    std::cout << "sqrt(-1.0) = " << std::sqrt(-1) << '\n';
    if (errno == EDOM)
        std::cout << "    errno = EDOM " << std::strerror(errno) << '\n';
    if (std::fetestexcept(FE_INVALID))
        std::cout << "    FE_INVALID raised\n";
}

Possible output:

sqrt(100) = 10
sqrt(2) = 1.41421
golden ratio = 1.61803
sqrt(-0) = -0
sqrt(-1.0) = -nan
    errno = EDOM Numerical argument out of domain
    FE_INVALID raised

See also

(C++11)(C++11)
raises a number to the given power (xy)
(function)
(C++11)(C++11)(C++11)
computes cube root ( 3x)
(function)
(C++11)(C++11)(C++11)
computes hypotenuse x2
+y2
and x2
+y2
+z2
(since C++17)

(function)
complex square root in the range of the right half-plane
(function template)
applies the function std::sqrt to each element of valarray
(function template)