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 cosh(float num); double cosh(double num); | (until C++23) | |
/*floating-point-type*/ cosh(/*floating-point-type*/ num); | (since C++23) (constexpr since C++26) | |
float coshf(float num); | (2) | (since C++11) (constexpr since C++26) |
longdouble coshl(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 cosh( Integer num); | (A) | (constexpr since C++26) |
std::cosh
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::cosh 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.
Errors are reported as specified inmath_errhandling.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
For the IEEE-compatible typedouble, if|num| > 710.5, thenstd::cosh(num) overflows.
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::cosh(num) has the same effect asstd::cosh(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<<"cosh(1) = "<< std::cosh(1)<<'\n'<<"cosh(-1) = "<< std::cosh(-1)<<'\n'<<"log(sinh("<< x<<")+cosh("<< x<<")) = "<<std::log(std::sinh(x)+ std::cosh(x))<<'\n'; // special valuesstd::cout<<"cosh(+0) = "<< std::cosh(0.0)<<'\n'<<"cosh(-0) = "<< std::cosh(-0.0)<<'\n'; // error handlingerrno=0;std::feclearexcept(FE_ALL_EXCEPT); std::cout<<"cosh(710.5) = "<< std::cosh(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";}
Possible output:
cosh(1) = 1.54308cosh(-1) = 1.54308log(sinh(42)+cosh(42)) = 42cosh(+0) = 1cosh(-0) = 1cosh(710.5) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised
(C++11)(C++11) | computes hyperbolic sine (\({\small\sinh{x}}\)sinh(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 cosine (\({\small\operatorname{arcosh}{x}}\)arcosh(x)) (function)[edit] |
computes hyperbolic cosine of a complex number (\({\small\cosh{z}}\)cosh(z)) (function template)[edit] | |
applies the functionstd::cosh to each element of valarray (function template)[edit] | |
C documentation forcosh |