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 tanh(float num); double tanh(double num); | (until C++23) | |
/*floating-point-type*/ tanh(/*floating-point-type*/ num); | (since C++23) (constexpr since C++26) | |
float tanhf(float num); | (2) | (since C++11) (constexpr since C++26) |
longdouble tanhl(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 tanh( Integer num); | (A) | (constexpr since C++26) |
std::tanh
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::tanh 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 |
enum +e-num |
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 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 argumentnum of integer type,std::tanh(num) has the same effect asstd::tanh(static_cast<double>(num)).
#include <cmath>#include <iostream>#include <random> double get_random_between(double min,double max){std::random_device rd;std::mt19937 gen(rd());returnstd::uniform_real_distribution<>(min, max)(gen);} int main(){constdouble x= get_random_between(-1.0,1.0); std::cout<<std::showpos<<"tanh(+1) = "<< std::tanh(+1)<<'\n'<<"tanh(-1) = "<< std::tanh(-1)<<'\n'<<"tanh(x)*sinh(2*x)-cosh(2*x) = "<< std::tanh(x)*std::sinh(2* x)-std::cosh(2* x)<<'\n'// special values:<<"tanh(+0) = "<< std::tanh(+0.0)<<'\n'<<"tanh(-0) = "<< std::tanh(-0.0)<<'\n';}
Output:
tanh(+1) = +0.761594tanh(-1) = -0.761594tanh(x)*sinh(2*x)-cosh(2*x) = -1tanh(+0) = +0tanh(-0) = -0
(C++11)(C++11) | computes hyperbolic sine (\({\small\sinh{x}}\)sinh(x)) (function)[edit] |
(C++11)(C++11) | computes hyperbolic cosine (\({\small\cosh{x}}\)cosh(x)) (function)[edit] |
(C++11)(C++11)(C++11) | computes the inverse hyperbolic tangent (\({\small\operatorname{artanh}{x}}\)artanh(x)) (function)[edit] |
computes hyperbolic tangent of a complex number (\({\small\tanh{z}}\)tanh(z)) (function template)[edit] | |
applies the functionstd::tanh to each element of valarray (function template)[edit] | |
C documentation fortanh |