| 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 sin(float num); double sin(double num); | (until C++23) | |
/*floating-point-type*/ sin(/*floating-point-type*/ num); | (since C++23) (constexpr since C++26) | |
float sinf(float num); | (2) | (since C++11) (constexpr since C++26) |
longdouble sinl(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 sin( Integer num); | (A) | (constexpr since C++26) |
std::sin 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::sin 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 sine ofnum (sin(num)) in the range[-1, +1], 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.
POSIX also specifies that in case of underflow,num is returned unmodified, and if that is not supported, an implementation-defined value no greater thanDBL_MIN,FLT_MIN, andLDBL_MIN is returned.
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::sin(num) has the same effect asstd::sin(static_cast<double>(num)).
#include <cerrno>#include <cfenv>#include <cmath>#include <iomanip>#include <iostream> // #pragma STDC FENV_ACCESS ON constdouble pi=std::acos(-1);// or std::numbers::pi since C++20 constexprdouble your_sin(double x){double sin{0}, pow{x};for(auto fac{1LLU}, n{1ULL}; n!=20; fac*=++n, pow*= x)if(n&1) sin+=(n&2?-pow: pow)/ fac;return sin;} int main(){std::cout<<std::setprecision(10)<<std::showpos<<"Typical usage:\n"<<"std::sin(pi/6) = "<< std::sin(pi/6)<<'\n'<<"your sin(pi/6) = "<< your_sin(pi/6)<<'\n'<<"std::sin(pi/2) = "<< std::sin(pi/2)<<'\n'<<"your sin(pi/2) = "<< your_sin(pi/2)<<'\n'<<"std::sin(-3*pi/4) = "<< std::sin(-3* pi/4)<<'\n'<<"your sin(-3*pi/4) = "<< your_sin(-3* pi/4)<<'\n'<<"Special values:\n"<<"std::sin(+0) = "<< std::sin(0.0)<<'\n'<<"std::sin(-0) = "<< std::sin(-0.0)<<'\n'; // error handlingstd::feclearexcept(FE_ALL_EXCEPT); std::cout<<"std::sin(INFINITY) = "<< std::sin(INFINITY)<<'\n';if(std::fetestexcept(FE_INVALID))std::cout<<" FE_INVALID raised\n";}
Possible output:
Typical usage:std::sin(pi/6) = +0.5your sin(pi/6) = +0.5std::sin(pi/2) = +1your sin(pi/2) = +1std::sin(-3*pi/4) = -0.7071067812your sin(-3*pi/4) = -0.7071067812Special values:std::sin(+0) = +0std::sin(-0) = -0std::sin(INFINITY) = -nan FE_INVALID raised
(C++11)(C++11) | computes cosine (\({\small\cos{x}}\)cos(x)) (function)[edit] |
(C++11)(C++11) | computes tangent (\({\small\tan{x}}\)tan(x)) (function)[edit] |
(C++11)(C++11) | computes arc sine (\({\small\arcsin{x}}\)arcsin(x)) (function)[edit] |
| computes sine of a complex number (\({\small\sin{z}}\)sin(z)) (function template)[edit] | |
| applies the functionstd::sin to each element of valarray (function template)[edit] | |
C documentation forsin | |
