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Difference between revisions of "cpp/numeric/math/acos"

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< cpp‎ | numeric‎ | math
m (→‎Example: +std::)
m ({{tt}} -> {{range}})
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Errors are reported as specified in {{lc|math_errhandling}}.
 
Errors are reported as specified in {{lc|math_errhandling}}.
  
−
Domain error occurs if {{c|num}} is outside the range {{tt|[-1.0, 1.0]}}
+
Domain error occurs if {{c|num}} is outside the range {{range|-1.0|1.0}}.
  
 
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
 
If the implementation supports IEEE floating-point arithmetic (IEC 60559),

Revision as of 22:38, 22 April 2023

 
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Defined in header <cmath>
(1)
float       acos ( float num );

double      acos ( double num );

long double acos ( long double num );
 (until C++23)
/* floating-point-type */ acos( /* floating-point-type */ num );
 (since C++23)
float       acosf( float num );
 (2) (since C++11)
long double acosl( long double num );
 (3) (since C++11)
Additional overloads (since C++11)
Defined in header <cmath>
template< class Integer >
double      acos ( Integer num );
 (A)
1-3) Computes the principal value of the arc cosine of num. The library provides overloads of std::acos for all cv-unqualified floating-point types as the type of the parameter num.(since C++23)
A) Additional overloads are provided for all integer types, which are treated as double.
 (since C++11)

Contents

Parameters

num - floating-point or integer value

Return value

If no errors occur, the arc cosine of num (arccos(num)) 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 num 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 |num| > 1, a domain error occurs and NaN is returned.
  • if the argument is NaN, NaN is returned.

Notes

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::acos(num) has the same effect as std::acos(static_cast<double>(num)).

Example

Run this code
#include <cerrno>
#include <cfenv>
#include <cmath>
#include <cstring>
#include <iostream>
 
// #pragma STDC FENV_ACCESS ON
 
int main()
{
    std::cout << "acos(-1) = " << std::acos(-1) << '\n'
              << "acos(0.0) = " << std::acos(0.0) << '\n'
              << "2*acos(0.0) = " << 2 * std::acos(0) << '\n'
              << "acos(0.5) = " << std::acos(0.5) << '\n'
              << "3*acos(0.5) = " << 3 * std::acos(0.5) << '\n'
              << "acos(1) = " << std::acos(1) << '\n';
 
    // error handling
    errno = 0;
    std::feclearexcept(FE_ALL_EXCEPT);
 
    std::cout << "acos(1.1) = " << std::acos(1.1) << '\n';
 
    if (errno == EDOM)
        std::cout << "    errno == EDOM: " << std::strerror(errno) << '\n';
    if (std::fetestexcept(FE_INVALID))
        std::cout << "    FE_INVALID raised" << '\n';
}

Output: 

acos(-1) = 3.14159
acos(0.0) = 1.5708
2*acos(0.0) = 3.14159
acos(0.5) = 1.0472
3*acos(0.5) = 3.14159
acos(1) = 0
acos(1.1) = nan
    errno == EDOM: Numerical argument out of domain
    FE_INVALID raised

See also

(C++11)(C++11)
 computes arc sine (arcsin(x))
(function) [edit]
(C++11)(C++11)
 computes arc tangent (arctan(x))
(function) [edit]
(C++11)(C++11)
 arc tangent, using signs to determine quadrants
(function) [edit]
(C++11)(C++11)
 computes cosine (cos(x))
(function) [edit]
(C++11)
 computes arc cosine of a complex number (arccos(z))
(function template) [edit]
applies the function std::acos to each element of valarray
(function template) [edit]
C documentation for acos
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