acos, acosf, acosl

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< c ‎ | numeric ‎ | math
Common mathematical functions
Types
Functions
Basic operations
(C99)
(C99)
(C99)
(C99) (C99) (C99) (C23)
Maximum/minimum operations
Exponential functions
Power functions
Trigonometric and hyperbolic functions
Error and gamma functions
(C99)
(C99)
(C99)
(C99)
Nearest integer floating-point operations
(C99) (C99) (C99)
(C23) (C23) (C23) (C23)
Floating-point manipulation functions
Narrowing operations
(C23)
(C23)
(C23)
(C23)
(C23)
(C23)
Quantum and quantum exponent functions
Decimal re-encoding functions
Total order and payload functions
Classification
Macro constants
Special floating-point values
Arguments and return values
Error handling
Defined in header <math.h>
float acosf ( float arg ) ;
(1) (since C99)
double acos ( double arg ) ;
(2)
long double acosl ( long double arg ) ;
(3) (since C99)
_Decimal32  acosd32 ( _Decimal32 arg ) ;
(4) (since C23)
_Decimal64  acosd64 ( _Decimal64 arg ) ;
(5) (since C23)
_Decimal128 acosd128 ( _Decimal128 arg ) ;
(6) (since C23)
Defined in header <tgmath.h>
#define acos( arg )
(7) (since C99)
1-6) Computes the principal value of the arc cosine of arg .
7) Type-generic macro: If the argument has type long double , (3) ( acosl ) is called. Otherwise, if the argument has integer type or the type double , (2) ( acos ) is called. Otherwise, (1) ( acosf ) is called. If the argument is complex, then the macro invokes the corresponding complex function ( cacosf , cacos , cacosl ).

The functions (4-6) are declared if and only if the implementation predefines __STDC_IEC_60559_DFP__ (i.e. the implementation supports decimal floating-point numbers).

(since C23)

Parameters

arg - floating-point value

Return value

If no errors occur, the arc cosine of arg ( arccos(arg) ) in the range [0 ; π] , is returned.

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 arg is outside the range [-1.0; 1.0] .

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

  • If the argument is +1 , the value +0 is returned;
  • If |arg| > 1 , a domain error occurs and NaN is returned;
  • if the argument is NaN, NaN is returned.

Example

#include <errno.h>
#include <fenv.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
 
#ifndef __GNUC__
#pragma STDC FENV_ACCESS ON
#endif
 
int main(void)
{
    printf("acos(-1) = %f\n", acos(-1));
    printf("acos(0.0) = %f 2*acos(0.0) = %f\n", acos(0), 2 * acos(0));
    printf("acos(0.5) = %f 3*acos(0.5) = %f\n", acos(0.5), 3 * acos(0.5));
    printf("acos(1) = %f\n", acos(1));
 
    // error handling
    errno = 0; feclearexcept(FE_ALL_EXCEPT);
    printf("acos(1.1) = %f\n", acos(1.1));
    if (errno == EDOM)
        perror("    errno == EDOM");
    if (fetestexcept(FE_INVALID))
        puts("    FE_INVALID raised");
}

Possible output:

acos(-1) = 3.141593
acos(0.0) = 1.570796 2*acos(0.0) = 3.141593
acos(0.5) = 1.047198 3*acos(0.5) = 3.141593
acos(1) = 0.000000
acos(1.1) = nan
    errno == EDOM: Numerical argument out of domain
    FE_INVALID raised

References

  • C23 standard (ISO/IEC 9899:2024):
  • 7.12.4.1 The acos functions (p: TBD)
  • 7.25 Type-generic math <tgmath.h> (p: TBD)
  • F.10.1.1 The acos functions (p: TBD)
  • C17 standard (ISO/IEC 9899:2018):
  • 7.12.4.1 The acos functions (p: 173)
  • 7.25 Type-generic math <tgmath.h> (p: 272-273)
  • F.10.1.1 The acos functions (p: 378)
  • C11 standard (ISO/IEC 9899:2011):
  • 7.12.4.1 The acos functions (p: 238)
  • 7.25 Type-generic math <tgmath.h> (p: 373-375)
  • F.10.1.1 The acos functions (p: 518)
  • C99 standard (ISO/IEC 9899:1999):
  • 7.12.4.1 The acos functions (p: 218)
  • 7.22 Type-generic math <tgmath.h> (p: 335-337)
  • F.9.1.1 The acos functions (p: 455)
  • C89/C90 standard (ISO/IEC 9899:1990):
  • 4.5.2.1 The acos function

See also

(C99) (C99)
computes arc sine ( arcsin(x) )
(function)
(C99) (C99)
computes arc tangent ( arctan(x) )
(function)
computes arc tangent, using signs to determine quadrants
(function)
(C99) (C99)
computes cosine ( cos(x) )
(function)
(C99) (C99) (C99)
computes the complex arc cosine
(function)