C++
| Compiler support |
| Freestanding and hosted |
| Language |
| Standard library |
| Standard library headers |
| Named requirements |
| Feature test macros (C++20) |
| Language support library |
| Concepts library (C++20) |
| Diagnostics library |
| Memory management library |
| Metaprogramming library (C++11) |
| General utilities library |
| Containers library |
| Iterators library |
| Ranges library (C++20) |
| Algorithms library |
| Strings library |
| Text processing library |
| Numerics library |
| Date and time library |
| Input/output library |
| Filesystem library (C++17) |
| Concurrency support library (C++11) |
| Execution control library (C++26) |
| Technical specifications |
| Symbols index |
| External libraries |
[edit] Numerics library
| 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 |
| |
| Interpolations |
| |
| Generic numeric operations |
| iota(C++11) | | ranges::iota(C++23) | | accumulate | | inner_product | | adjacent_difference | | partial_sum | | | reduce(C++17) | | transform_reduce(C++17) | | inclusive_scan(C++17) | | exclusive_scan(C++17) | | transform_inclusive_scan(C++17) | | transform_exclusive_scan(C++17) | |
| C-style checked integer arithmetic |
| ckd_add(C++26) | | ckd_sub(C++26) | | |
[edit] Common mathematical functions
| Functions |
| Basic operations |
| abs(int)labsllabsimaxabs(C++11) | | abs(float)fabs | | divldivlldivimaxdiv(C++11) | | | fmod | | remainder(C++11) | | remquo(C++11) | | fma(C++11) | | fmax(C++11) | | fmin(C++11) | | fdim(C++11) | | nannanfnanl(C++11)(C++11)(C++11) | |
| Exponential functions |
| exp | | exp2(C++11) | | expm1(C++11) | | | log | | log10 | | log1p(C++11) | | log2(C++11) | |
| Power functions |
| |
| Trigonometric and hyperbolic functions |
| sin | | cos | | tan | | asin | | acos | | atan | | atan2 | | | sinh | | cosh | | tanh | | asinh(C++11) | | acosh(C++11) | | atanh(C++11) | |
| Error and gamma functions |
| | lgamma(C++11) | | tgamma(C++11) | |
| Nearest integer floating point operations |
| ceil | | floor | | roundlroundllround(C++11)(C++11)(C++11) | | | trunc(C++11) | | nearbyint(C++11) | | rintlrintllrint(C++11)(C++11)(C++11) | |
| Floating point manipulation functions |
| ldexp | | scalbnscalbln(C++11)(C++11) | | ilogb(C++11) | | logb(C++11) | | | frexp | | modf | | nextafternexttoward(C++11)(C++11) | | copysign(C++11) | |
| Classification and comparison |
| fpclassify(C++11) | | isfinite(C++11) | | isinf(C++11) | | isnan(C++11) | | isnormal(C++11) | | signbit(C++11) | | | isgreater(C++11) | | isgreaterequal(C++11) | | isless(C++11) | | islessequal(C++11) | | islessgreater(C++11) | | isunordered(C++11) | |
| Types |
| div_t | | ldiv_t | | lldiv_t(C++11) | | | imaxdiv_t(C++11) | | float_t(C++11) | | double_t(C++11) | |
| Macro constants |
| HUGE_VALFHUGE_VALHUGE_VALL(C++11)(C++11) | | math_errhandlingMATH_ERRNOMATH_ERREXCEPT(C++11) | | INFINITY(C++11) | | NAN(C++11) | | | Classification | | FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN(C++11)(C++11)(C++11)(C++11)(C++11) | |
[edit] | Defined in header <cmath> |
| (1) |
| float sinh ( float num ); double sinh ( double num ); long double sinh ( long 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) |
| long double sinhl( long double 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> sinh ( const V& v_num ); | (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) |
1-3) Computes the hyperbolic sine of
num.
The library provides overloads of 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 on v_num. (See math-floating-point and deduced-simd-t for their definitions.) | (since C++26) |
| A) Additional overloads are provided for all integer types, which are treated as double. | (since C++11) |
Contents - 1 Parameters
- 2 Return value
- 3 Error handling
- 4 Notes
- 5 Example
- 6 See also
|
[edit] Parameters
| num | - | floating-point or integer value |
[edit] Return value
If no errors occur, the hyperbolic sine of
num (
sinh(num), or
) is returned.
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.
[edit] Error handling
Errors are reported as specified in math_errhandling.
If the implementation supports IEEE floating-point arithmetic (IEC 60559),
- if the argument is ±0 or ±∞, it is returned unmodified.
- if the argument is NaN, NaN is returned.
[edit] Notes
POSIX specifies that in case of underflow, num is returned unmodified, and if that is not supported, and implementation-defined value no greater than DBL_MIN, FLT_MIN, and LDBL_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 argument num of integer type, std::sinh(num) has the same effect as std::sinh(static_cast<double>(num)).
[edit] Example
Run this code
#include <cerrno> #include <cfenv> #include <cmath> #include <cstring> #include <iostream> // #pragma STDC FENV_ACCESS ON int main
() { const double 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 values std::cout << "sinh(+0) = " << std
::sinh(0.0) << '\n' << "sinh(-0) = " << std
::sinh(-0.0) << '\n'; // error handling errno = 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) = 1.1752 sinh(-1) = -1.1752 log(sinh(42)+cosh(42)) = 42 sinh(+0) = 0 sinh(-0) = -0 sinh(710.5) = inf errno == ERANGE: Numerical result out of range FE_OVERFLOW raised
[edit] See also
| coshcoshfcoshl(C++11)(C++11) | computes hyperbolic cosine (\({\small\cosh{x}}\)cosh(x)) (function) [edit] |
| tanhtanhftanhl(C++11)(C++11) | computes hyperbolic tangent (\({\small\tanh{x}}\)tanh(x)) (function) [edit] |
| asinhasinhfasinhl(C++11)(C++11)(C++11) | computes the inverse hyperbolic sine (\({\small\operatorname{arsinh}{x}}\)arsinh(x)) (function) [edit] |
| sinh(std::complex) | computes hyperbolic sine of a complex number (\({\small\sinh{z}}\)sinh(z)) (function template) [edit] |
| sinh(std::valarray) | applies the function std::sinh to each element of valarray (function template) [edit] |
| C documentation for sinh |