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Showing content from https://en.cppreference.com/w/cpp/language/../algorithm/../../cpp/../c/numeric/math/cbrt.html below:

cbrt, cbrtf, cbrtl - cppreference.com

float cbrtf( float arg );

(1) (since C99)

double cbrt( double arg );

(2) (since C99)

long double cbrtl( long double arg );

(3) (since C99)

#define cbrt( arg )

(4) (since C99)

1-3) Computes the cube root of arg.

4) Type-generic macro: If arg has type long double, cbrtl is called. Otherwise, if arg has integer type or the type double, cbrt is called. Otherwise, cbrtf is called.

[edit] Parameters arg - floating-point value [edit] Return value

If no errors occur, the cube root of arg (\(\small{\sqrt[3]{arg} }\)3âarg), is returned.

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

[edit] Error handling

Errors are reported as specified in math_errhandling.

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

if the argument is Â±0 or Â±â, it is returned, unchanged
if the argument is NaN, NaN is returned.

[edit] Notescbrt(arg)

is not equivalent to

pow(arg, 1.0/3)

because the rational number

\(\small{\frac1{3} }\)

is typically not equal to

1.0/3

and

std::pow

cannot raise a negative base to a fractional exponent. Moreover,

cbrt(arg)

usually gives more accurate results than

pow(arg, 1.0/3)

(see example).

[edit] Example

#include <float.h>
#include <math.h>
#include <stdio.h>
 
int main(void)
{
    printf("Normal use:\n"
           "cbrt(729)      = %f\n", cbrt(729));
    printf("cbrt(-0.125)   = %f\n", cbrt(-0.125));
    printf("Special values:\n"
           "cbrt(-0)       = %f\n", cbrt(-0.0));
    printf("cbrt(+inf)     = %f\n", cbrt(INFINITY));
    printf("Accuracy:\n"
           "cbrt(343)      = %.*f\n", DBL_DECIMAL_DIG, cbrt(343));
    printf("pow(343,1.0/3) = %.*f\n", DBL_DECIMAL_DIG, pow(343, 1.0/3));
}

Possible output:

Normal use:
cbrt(729)      = 9.000000
cbrt(-0.125)   = -0.500000
Special values:
cbrt(-0)       = -0.000000
cbrt(+inf)     = inf
Accuracy:
cbrt(343)      = 7.00000000000000000
pow(343,1.0/3) = 6.99999999999999911

[edit] References

C23 standard (ISO/IEC 9899:2024):

7.12.7.1 The cbrt functions (p: TBD)

7.25 Type-generic math <tgmath.h> (p: TBD)

F.10.4.1 The cbrt functions (p: TBD)

C17 standard (ISO/IEC 9899:2018):

7.12.7.1 The cbrt functions (p: 180-181)

7.25 Type-generic math <tgmath.h> (p: 272-273)

F.10.4.1 The cbrt functions (p: 381-)

C11 standard (ISO/IEC 9899:2011):

7.12.7.1 The cbrt functions (p: 247)

7.25 Type-generic math <tgmath.h> (p: 373-375)

F.10.4.1 The cbrt functions (p: 524)

C99 standard (ISO/IEC 9899:1999):

7.12.7.1 The cbrt functions (p: 228)

7.22 Type-generic math <tgmath.h> (p: 335-337)

F.9.4.1 The cbrt functions (p: 460)

[edit] See also computes a number raised to the given power (\(\small{x^y}\)x^y)
(function) [edit] computes square root (\(\small{\sqrt{x} }\)âx)
(function) [edit] computes square root of the sum of the squares of two given numbers (\(\scriptsize{\sqrt{x^2+y^2} }\)âx2 +y2)
(function) [edit]

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