double cbrt ( double num );
/*floating-point-type*/
cbrt ( /*floating-point-type*/ num );
float cbrtf( float num );
(2) (since C++11)long double cbrtl( long double num );
(3) (since C++11)constexpr /*deduced-simd-t*/<V>
template< class Integer >
double cbrt ( Integer num );
1-3) Computes the cube root of num. The library provides overloads of std::cbrt
for all cv-unqualified floating-point types as the type of the parameter.(since C++23)
A) Additional overloads are provided for all integer types, which are treated as double.
(since C++11) [edit] Parameters num - floating-point or integer value [edit] Return valueIf no errors occur, the cube root of num (\(\small{\sqrt[3]{num} }\)3ânum), is returned.
If a range error occurs due to underflow, the correct result (after rounding) is returned.
[edit] Error handlingErrors are reported as specified in math_errhandling.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
is not equivalent to
std::pow(num, 1.0 / 3)because the rational number
\(\small{\frac1{3} }\)is typically not equal to
1.0 / 3and
std::powcannot raise a negative base to a fractional exponent. Moreover,
std::cbrt(num)usually gives more accurate results than
std::pow(num, 1.0 / 3)(see example).
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::cbrt(num) has the same effect as std::cbrt(static_cast<double>(num)).
[edit] Example#include <cmath> #include <iomanip> #include <iostream> #include <limits> int main() { std::cout << "Normal use:\n" << "cbrt(729) = " << std::cbrt(729) << '\n' << "cbrt(-0.125) = " << std::cbrt(-0.125) << '\n' << "Special values:\n" << "cbrt(-0) = " << std::cbrt(-0.0) << '\n' << "cbrt(+inf) = " << std::cbrt(INFINITY) << '\n' << "Accuracy and comparison with `pow`:\n" << std::setprecision(std::numeric_limits<double>::max_digits10) << "cbrt(343) = " << std::cbrt(343) << '\n' << "pow(343,1.0/3) = " << std::pow(343, 1.0 / 3) << '\n' << "cbrt(-343) = " << std::cbrt(-343) << '\n' << "pow(-343,1.0/3) = " << std::pow(-343, 1.0 / 3) << '\n'; }
Possible output:
Normal use: cbrt(729) = 9 cbrt(-0.125) = -0.5 Special values: cbrt(-0) = -0 cbrt(+inf) = inf Accuracy and comparison with `pow`: cbrt(343) = 7 pow(343,1.0/3) = 6.9999999999999991 cbrt(-343) = -7 pow(-343,1.0/3) = -nan[edit] See also raises a number to the given power (\(\small{x^y}\)xy)
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