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acos, acosf, acosl

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< c‎ | numeric‎ | math
Revision as of 20:16, 29 May 2014 by Cubbi (Talk | contribs)

 
 
 
Common mathematical functions
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Macro constants
 
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)
Defined in header <tgmath.h>
#define acos( arg )
(4) (since C99)
1-3) Computes the principal value of the arc cosine of arg.
4) Type-generic macro: If the argument has type long double, acosl is called. Otherwise, if the argument has integer type or the type double, acos is called. Otherwise, acosf is called. If the argument is complex, then the macro invokes the corresponding complex function (cacosf, cacos, cacosl)

Contents

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 <stdio.h>
#include <math.h>
#include <errno.h>
#include <fenv.h>
#include <string.h>
 
#pragma STDC FENV_ACCESS ON
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), 3*acos(0));
    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(+0.0) = 1.570796
acos(-0.0) = 1.570796
acos(1.0)  = 0.0
acos(NAN)  = nan
 
acos(1.1)  = nan
Numerical argument out of domain
current exceptions raised:  FE_INVALID

See also

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