| 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 tan(float num); double tan(double num); | (until C++23) | |
/*floating-point-type*/ tan(/*floating-point-type*/ num); | (since C++23) (constexpr since C++26) | |
float tanf(float num); | (2) | (since C++11) (constexpr since C++26) |
longdouble tanl(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 tan( Integer num); | (A) | (constexpr since C++26) |
std::tan 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::tan 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 representing angle in radians |
If no errors occur, the tangent ofnum (tan(num)) is returned.
The result may have little or no significance if the magnitude ofnum is large. | (until C++11) |
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.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
The case where the argument is infinite is not specified to be a domain error in C (to which C++ defers), but it is defined as adomain error in POSIX.
The function has mathematical poles atπ(1/2 + n); however no common floating-point representation is able to represent π/2 exactly, thus there is no value of the argument for which a pole error occurs.
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::tan(num) has the same effect asstd::tan(static_cast<double>(num)).
#include <cerrno>#include <cfenv>#include <cmath>#include <iostream> // #pragma STDC FENV_ACCESS ONconstdouble pi=std::acos(-1);// or C++20's std::numbers::pi int main(){// typical usagestd::cout<<"tan(1*pi/4) = "<< std::tan(1*pi/4)<<'\n'// 45°<<"tan(3*pi/4) = "<< std::tan(3*pi/4)<<'\n'// 135°<<"tan(5*pi/4) = "<< std::tan(5*pi/4)<<'\n'// -135°<<"tan(7*pi/4) = "<< std::tan(7*pi/4)<<'\n';// -45° // special valuesstd::cout<<"tan(+0) = "<< std::tan(0.0)<<'\n'<<"tan(-0) = "<< std::tan(-0.0)<<'\n'; // error handlingstd::feclearexcept(FE_ALL_EXCEPT); std::cout<<"tan(INFINITY) = "<< std::tan(INFINITY)<<'\n';if(std::fetestexcept(FE_INVALID))std::cout<<" FE_INVALID raised\n";}
Possible output:
tan(1*pi/4) = 1tan(3*pi/4) = -1tan(5*pi/4) = 1tan(7*pi/4) = -1tan(+0) = 0tan(-0) = -0tan(INFINITY) = -nan FE_INVALID raised
(C++11)(C++11) | computes sine (\({\small\sin{x}}\)sin(x)) (function)[edit] |
(C++11)(C++11) | computes cosine (\({\small\cos{x}}\)cos(x)) (function)[edit] |
(C++11)(C++11) | computes arc tangent (\({\small\arctan{x}}\)arctan(x)) (function)[edit] |
| computes tangent of a complex number (\({\small\tan{z}}\)tan(z)) (function template)[edit] | |
| applies the functionstd::tan to each element of valarray (function template)[edit] | |
C documentation fortan | |
