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sinh(3) [osf1 man page]

sinh(3) 						     Library Functions Manual							   sinh(3)

NAME
sinh, cosh, tanh - Hyperbolic functions LIBRARY
Math Library (libm.a) SYNOPSIS
#include <math.h> double sinh (double x); float sinhf (float x); long double sinhl (long double x); double cosh (double x); float coshf (float x); long double coshl (long double x); double tanh (double x); float tanhf (float x); long double tanhl (long double x); STANDARDS
Interfaces documented on this reference page conform to industry standards as follows: cosh(): XPG4 sinh(): XPG4 tanh(): XPG4 Refer to the standards(5) reference page for more information about industry standards and associated tags. DESCRIPTION
The sinh(), sinhf(), and sinhl() functions compute the hyperbolic sine of x. Both sinh(x), sinhf(x), and sinhl(x) are defined as (exp(x) - exp(-x))/2. The cosh(), coshf(), and coshl() functions compute the hyperbolic cosine of x. Both cosh(x), coshf(x), and coshl(x) are defined as (e**x + e**(-x))/2. The tanh(), tanhf(), and tanhl() functions compute the hyperbolic tangent of x. Both tanh(x), tanhf(x), and tanhl(x) are defined as (e**x - e**(-x))/(e**x + e**(-x)). The following table describes function behavior in response to exceptional arguments: -------------------------------------------------------------------- Function Exceptional Argument Routine Behavior -------------------------------------------------------------------- sinh(), sinhf(), sinhl() |x|>ln(2 * max_float) Overflow cosh(), coshf(), coshl() |x|>ln(2 * max_float) Overflow -------------------------------------------------------------------- The following table lists boundary values used by these functions: --------------------------------------------------------------------- Value Name Data Type Hexadecimal Value Decimal Value --------------------------------------------------------------------- ln(2 * max_float) S_FLOAT 42B2D4FC 89.41599 T_FLOAT 408633CE8FB9F87E 710.475860073943 --------------------------------------------------------------------- delim off sinh(3)

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asinh(3)						     Library Functions Manual							  asinh(3)

NAME
asinh, acosh, atanh - Compute inverse hyperbolic functions LIBRARY
Math Library (libm.a) SYNOPSIS
#include <math.h> double asinh (double x); float asinhf (float x); long double asinhl (long double x); double acosh (double x); float acoshf (float x); long double acoshl (long double x); double atanh (double x); float atanhf (float x); long double atanhl (long double x); STANDARDS
Interfaces documented on this reference page conform to industry standards as follows: asinh(): XPG4-UNIX acosh(): XPG4-UNIX atanh(): XPG4-UNIX Refer to the standards(5) reference page for more information about industry standards and associated tags. DESCRIPTION
The asinh(), asinhf(), and asinhl() functions return the hyperbolic arc sine of x, in the range [-infinity, +infinity] where asinh(x) = ln(x + sqrt(x**2 + 1)). The asinh() function is the inverse function of sinh() where asinh(sinh(x)) = x. The acosh(), acoshf(), and acoshl() functions return the hyperbolic arc cosine of x, in the range [1, +infinity] where acosh(x) = ln(x + sqrt(x**2 - 1)). The acosh() function is the inverse function of cosh() where acosh(cosh(x)) = |x|. The atanh(), atanhf() and atanhl() functions return the hyperbolic arc tangent of x, in the range (-1, 1). The atanh() function is the inverse function of tanh() where atanh(tanh(x)) = x. The following table describes function behavior in response to exceptional arguments: --------------------------------------------------- Function Exceptional Argument Routine Behavior --------------------------------------------------- asinh() None N/A asinhf() None N/A asinhl() None N/A acosh() x<1 Invalid argument acoshf() x<1 Invalid argument acoshl() x<1 Invalid argument atanh() x>1 or x=1 Invalid argument atanhf() x>1 or x=1 Invalid argument atanhl() x>1 or x=1 Invalid argument --------------------------------------------------- delim off asinh(3)

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