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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cosh(3M) Mathematical Library Functions cosh(3M) NAME
cosh, coshf, coshl - hyperbolic cosine function SYNOPSIS
c99 [ flag... ] file... -lm [ library... ] #include <math.h> double cosh(double x); float coshf(float x); long double coshl(long double x); DESCRIPTION
These functions compute the hyperbolic cosine of their argument x. RETURN VALUES
Upon successful completion, these functions return the hyperbolic cosine of x. If the correct value would cause overflow, a range error occurs and cosh(), coshf(), and coshl() return the value of the macro HUGE_VAL, HUGE_VALF, and HUGE_VALL, respectively. If x is NaN, a NaN is returned. If x is +-0, 1.0 is returned. If x is +-Inf, +-Inf is returned. For exceptional cases, matherr(3M) tabulates the values to be returned by cosh() as specified by SVID3 and XPG3. ERRORS
These functions will fail if: Range Error The result would cause an overflow. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, the overflow floating-point exception is raised. The cosh() function sets errno to ERANGE if the result would cause an overflow. USAGE
An application wanting to check for exceptions should call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an exception has been raised. An application should either examine the return value or check the floating point exception flags to detect exceptions. An application can also set errno to 0 before calling cosh(). On return, if errno is non-zero, an error has occurred. The coshf() and coshl() functions do not set errno. ATTRIBUTES
See attributes(5) for descriptions of the following attributes: +-----------------------------+-----------------------------+ | ATTRIBUTE TYPE | ATTRIBUTE VALUE | +-----------------------------+-----------------------------+ |Interface Stability |Standard | +-----------------------------+-----------------------------+ |MT-Level |MT-Safe | +-----------------------------+-----------------------------+ SEE ALSO
acosh(3M), feclearexcept(3M), fetestexcept(3M), isnan(3M), math.h(3HEAD), matherr(3M), sinh(3M), tanh(3M), attributes(5), standards(5) SunOS 5.11 12 Jul 2006 cosh(3M)