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
).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(0.5), 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
- 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) |
(C99)(C99) | 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) |
C++ documentation for acos |
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