Common mathematical functions | |||||||||||||||||||||||||||||||
Mathematical special functions(C++17) | |||||||||||||||||||||||||||||||
Mathematical constants(C++20) | |||||||||||||||||||||||||||||||
Basic linear algebra algorithms(C++26) | |||||||||||||||||||||||||||||||
Data-parallel types (SIMD)(C++26) | |||||||||||||||||||||||||||||||
Floating-point environment(C++11) | |||||||||||||||||||||||||||||||
Complex numbers | |||||||||||||||||||||||||||||||
Numeric array (valarray ) | |||||||||||||||||||||||||||||||
Pseudo-random number generation | |||||||||||||||||||||||||||||||
Bit manipulation(C++20) | |||||||||||||||||||||||||||||||
Saturation arithmetic(C++26) | |||||||||||||||||||||||||||||||
Factor operations | |||||||||||||||||||||||||||||||
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Interpolations | |||||||||||||||||||||||||||||||
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Generic numeric operations | |||||||||||||||||||||||||||||||
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C-style checked integer arithmetic | |||||||||||||||||||||||||||||||
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Nearest integer floating point operations | |||||||||||||||||||||||||||||||||||||||||
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Floating point manipulation functions | |||||||||||||||||||||||||||||||||||||||||
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Classification and comparison | |||||||||||||||||||||||||||||||||||||||||
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Types | |||||||||||||||||||||||||||||||||||||||||
Macro constants | |||||||||||||||||||||||||||||||||||||||||
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Defined in header <cmath> | ||
(1) | ||
float asin(float num); double asin(double num); | (until C++23) | |
/*floating-point-type*/ asin(/*floating-point-type*/ num); | (since C++23) (constexpr since C++26) | |
float asinf(float num); | (2) | (since C++11) (constexpr since C++26) |
longdouble asinl(longdouble num); | (3) | (since C++11) (constexpr since C++26) |
SIMD overload(since C++26) | ||
Defined in header <simd> | ||
template</*math-floating-point*/ V> constexpr/*deduced-simd-t*/<V> | (S) | (since C++26) |
Additional overloads(since C++11) | ||
Defined in header <cmath> | ||
template<class Integer> double asin( Integer num); | (A) | (constexpr since C++26) |
std::asin
for all cv-unqualified floating-point types as the type of the parameter.(since C++23)S) The SIMD overload performs an element-wise std::asin onv_num.
| (since C++26) |
A) Additional overloads are provided for all integer types, which are treated asdouble. | (since C++11) |
Contents |
num | - | floating-point or integer value |
π |
2 |
π |
2 |
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.
Errors are reported as specified inmath_errhandling.
Domain error occurs ifnum is outside the range[
-1.0,
1.0]
.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
The additional overloads are not required to be provided exactly as(A). They only need to be sufficient to ensure that for their argumentnum of integer type,std::asin(num) has the same effect asstd::asin(static_cast<double>(num)).
#include <cerrno>#include <cfenv>#include <cmath>#include <cstring>#include <iostream> // #pragma STDC FENV_ACCESS ON int main(){std::cout<<"asin(1.0) = "<< asin(1)<<'\n'<<"2*asin(1.0) = "<<2* asin(1)<<'\n'<<"asin(-0.5) = "<< asin(-0.5)<<'\n'<<"6*asin(-0.5) ="<<6* asin(-0.5)<<'\n'; // special valuesstd::cout<<"asin(0.0) = "<< asin(0)<<" asin(-0.0)="<< asin(-0.0)<<'\n'; // error handlingerrno=0;std::feclearexcept(FE_ALL_EXCEPT); std::cout<<"asin(1.1) = "<< asin(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';}
Possible output:
asin(1.0) = 1.57082*asin(1.0) = 3.14159asin(-0.5) = -0.5235996*asin(-0.5) = -3.14159asin(0.0) = 0 asin(-0.0)=-0asin(1.1) = nan errno == EDOM: Numerical argument out of domain FE_INVALID raised
(C++11)(C++11) | computes arc cosine (\({\small\arccos{x}}\)arccos(x)) (function)[edit] |
(C++11)(C++11) | computes arc tangent (\({\small\arctan{x}}\)arctan(x)) (function)[edit] |
(C++11)(C++11) | arc tangent, using signs to determine quadrants (function)[edit] |
(C++11)(C++11) | computes sine (\({\small\sin{x}}\)sin(x)) (function)[edit] |
(C++11) | computes arc sine of a complex number (\({\small\arcsin{z}}\)arcsin(z)) (function template)[edit] |
applies the functionstd::asin to each element of valarray (function template)[edit] | |
C documentation forasin |