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tgamma (3)
  • tgamma (3) ( Solaris man: Библиотечные вызовы )
  • tgamma (3) ( FreeBSD man: Библиотечные вызовы )
  • tgamma (3) ( Русские man: Библиотечные вызовы )
  • tgamma (3) ( Linux man: Библиотечные вызовы )
  • >> tgamma (3) ( POSIX man: Библиотечные вызовы )
  •  

    NAME

    tgamma, tgammaf, tgammal - compute gamma() function
     
    

    SYNOPSIS

    #include <math.h>

    double tgamma(double x);
    float tgammaf(float
    x);
    long double tgammal(long double
    x);
     

    DESCRIPTION

    The functionality described on this reference page is aligned with the ISO C standard. Any conflict between the requirements described here and the ISO C standard is unintentional. This volume of IEEE Std 1003.1-2001 defers to the ISO C standard.

    These functions shall compute the gamma() function of x.

    An application wishing to check for error situations should set errno to zero and call feclearexcept(FE_ALL_EXCEPT) before calling these functions. On return, if errno is non-zero or fetestexcept(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.  

    RETURN VALUE

    Upon successful completion, these functions shall return Gamma( x).

    If x is a negative integer, a domain error shall occur, and either a NaN (if supported), or an implementation-defined value shall be returned.

    If the correct value would cause overflow, a range error shall occur and tgamma(), tgammaf(), and tgammal() shall return ±HUGE_VAL, ±HUGE_VALF, or ±HUGE_VALL, respectively, with the same sign as the correct value of the function.

    If x is NaN, a NaN shall be returned.

    If x is +Inf, x shall be returned.

    If x is ±0, a pole error shall occur, and tgamma(), tgammaf(), and tgammal() shall return ±HUGE_VAL, ±HUGE_VALF, and ±HUGE_VALL, respectively.

    If x is -Inf, a domain error shall occur, and either a NaN (if supported), or an implementation-defined value shall be returned.  

    ERRORS

    These functions shall fail if:

    Domain Error
    The value of x is a negative integer,  or x is -Inf.

    If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [EDOM]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the invalid floating-point exception shall be raised.

    Pole Error
    The value of x is zero.

    If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the divide-by-zero floating-point exception shall be raised.

    Range Error
    The value overflows.

    If the integer expression (math_errhandling & MATH_ERRNO) is non-zero, then errno shall be set to [ERANGE]. If the integer expression (math_errhandling & MATH_ERREXCEPT) is non-zero, then the overflow floating-point exception shall be raised.

    The following sections are informative.  

    EXAMPLES

    None.  

    APPLICATION USAGE

    For IEEE Std 754-1985 double, overflow happens when 0 < x < 1/DBL_MAX, and 171.7 < x.

    On error, the expressions (math_errhandling & MATH_ERRNO) and (math_errhandling & MATH_ERREXCEPT) are independent of each other, but at least one of them must be non-zero.  

    RATIONALE

    This function is named tgamma() in order to avoid conflicts with the historical gamma() and lgamma() functions.  

    FUTURE DIRECTIONS

    It is possible that the error response for a negative integer argument may be changed to a pole error and a return value of ±Inf.  

    SEE ALSO

    feclearexcept() , fetestexcept() , lgamma() , the Base Definitions volume of IEEE Std 1003.1-2001, Section 4.18, Treatment of Error Conditions for Mathematical Functions, <math.h>  

    COPYRIGHT

    Portions of this text are reprinted and reproduced in electronic form from IEEE Std 1003.1, 2003 Edition, Standard for Information Technology -- Portable Operating System Interface (POSIX), The Open Group Base Specifications Issue 6, Copyright (C) 2001-2003 by the Institute of Electrical and Electronics Engineers, Inc and The Open Group. In the event of any discrepancy between this version and the original IEEE and The Open Group Standard, the original IEEE and The Open Group Standard is the referee document. The original Standard can be obtained online at http://www.opengroup.org/unix/online.html .


     

    Index

    NAME
    SYNOPSIS
    DESCRIPTION
    RETURN VALUE
    ERRORS
    EXAMPLES
    APPLICATION USAGE
    RATIONALE
    FUTURE DIRECTIONS
    SEE ALSO
    COPYRIGHT


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