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 sinh(float num); double sinh(double num); | (until C++23) | |
/*floating-point-type*/ sinh(/*floating-point-type*/ num); | (since C++23) (constexpr since C++26) | |
float sinhf(float num); | (2) | (since C++11) (constexpr since C++26) |
longdouble sinhl(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 sinh( Integer num); | (A) | (constexpr since C++26) |
std::sinh
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::sinh 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 |
enum -e-num |
2 |
If a range error due to overflow occurs,±HUGE_VAL,±HUGE_VALF
, or±HUGE_VALL
is returned.
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),
POSIX specifies that in case of underflow,num is returned unmodified, and if that is not supported, and 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::sinh(num) has the same effect asstd::sinh(static_cast<double>(num)).
#include <cerrno>#include <cfenv>#include <cmath>#include <cstring>#include <iostream>// #pragma STDC FENV_ACCESS ON int main(){constdouble x=42; std::cout<<"sinh(1) = "<< std::sinh(1)<<'\n'<<"sinh(-1) = "<< std::sinh(-1)<<'\n'<<"log(sinh("<< x<<")+cosh("<< x<<")) = "<<std::log(std::sinh(x)+std::cosh(x))<<'\n'; // special valuesstd::cout<<"sinh(+0) = "<< std::sinh(0.0)<<'\n'<<"sinh(-0) = "<< std::sinh(-0.0)<<'\n'; // error handlingerrno=0;std::feclearexcept(FE_ALL_EXCEPT); std::cout<<"sinh(710.5) = "<< std::sinh(710.5)<<'\n'; if(errno==ERANGE)std::cout<<" errno == ERANGE: "<<std::strerror(errno)<<'\n';if(std::fetestexcept(FE_OVERFLOW))std::cout<<" FE_OVERFLOW raised\n";}
Output:
sinh(1) = 1.1752sinh(-1) = -1.1752log(sinh(42)+cosh(42)) = 42sinh(+0) = 0sinh(-0) = -0sinh(710.5) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised
(C++11)(C++11) | computes hyperbolic cosine (\({\small\cosh{x}}\)cosh(x)) (function)[edit] |
(C++11)(C++11) | computes hyperbolic tangent (\({\small\tanh{x}}\)tanh(x)) (function)[edit] |
(C++11)(C++11)(C++11) | computes the inverse hyperbolic sine (\({\small\operatorname{arsinh}{x}}\)arsinh(x)) (function)[edit] |
computes hyperbolic sine of a complex number (\({\small\sinh{z}}\)sinh(z)) (function template)[edit] | |
applies the functionstd::sinh to each element of valarray (function template)[edit] | |
C documentation forsinh |