1LOGB(3P)                   POSIX Programmer's Manual                  LOGB(3P)
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PROLOG

6       This  manual  page is part of the POSIX Programmer's Manual.  The Linux
7       implementation of this interface may differ (consult the  corresponding
8       Linux  manual page for details of Linux behavior), or the interface may
9       not be implemented on Linux.
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11

NAME

13       logb, logbf, logbl — radix-independent exponent
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SYNOPSIS

16       #include <math.h>
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18       double logb(double x);
19       float logbf(float x);
20       long double logbl(long double x);
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DESCRIPTION

23       The functionality described on this reference page is aligned with  the
24       ISO C  standard.  Any  conflict between the requirements described here
25       and the ISO C standard is unintentional. This  volume  of  POSIX.1‐2008
26       defers to the ISO C standard.
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28       These  functions shall compute the exponent of x, which is the integral
29       part of logr |x|, as a signed floating-point  value,  for  non-zero  x,
30       where  r is the radix of the machine's floating-point arithmetic, which
31       is the value of FLT_RADIX defined in the <float.h> header.
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33       If x is subnormal it is treated as though it were normalized; thus  for
34       finite positive x:
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36           1 <= x * FLT_RADIX−logb(x) < FLT_RADIX
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38       An  application  wishing to check for error situations should set errno
39       to zero and  call  feclearexcept(FE_ALL_EXCEPT)  before  calling  these
40       functions. On return, if errno is non-zero or fetestexcept(FE_INVALID |
41       FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero,  an  error  has
42       occurred.
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RETURN VALUE

45       Upon  successful  completion, these functions shall return the exponent
46       of x.
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48       If x is ±0,  logb(),  logbf(),  and  logbl()  shall  return  −HUGE_VAL,
49       −HUGE_VALF, and −HUGE_VALL, respectively.
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51       On  systems  that  support  the IEC 60559 Floating-Point option, a pole
52       error shall occur;
53       otherwise, a pole error may occur.
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55       If x is NaN, a NaN shall be returned.
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57       If x is ±Inf, +Inf shall be returned.
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ERRORS

60       These functions shall fail if:
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62       Pole Error  The value of x is ±0.
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64                   If the integer expression (math_errhandling  &  MATH_ERRNO)
65                   is  non-zero,  then errno shall be set to [ERANGE].  If the
66                   integer expression (math_errhandling &  MATH_ERREXCEPT)  is
67                   non-zero,  then the divide-by-zero floating-point exception
68                   shall be raised.
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70       These functions may fail if:
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72       Pole Error  The value of x is 0.
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74                   If the integer expression (math_errhandling  &  MATH_ERRNO)
75                   is  non-zero,  then errno shall be set to [ERANGE].  If the
76                   integer expression (math_errhandling &  MATH_ERREXCEPT)  is
77                   non-zero,  then the divide-by-zero floating-point exception
78                   shall be raised.
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80       The following sections are informative.
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EXAMPLES

83       None.
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APPLICATION USAGE

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

91       None.
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FUTURE DIRECTIONS

94       None.
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SEE ALSO

97       feclearexcept(), fetestexcept(), ilogb(), scalbln()
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99       The Base Definitions volume of POSIX.1‐2008, Section 4.19, Treatment of
100       Error Conditions for Mathematical Functions, <float.h>, <math.h>
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103       Portions  of  this text are reprinted and reproduced in electronic form
104       from IEEE Std 1003.1, 2013 Edition, Standard for Information Technology
105       --  Portable  Operating  System  Interface (POSIX), The Open Group Base
106       Specifications Issue 7, Copyright (C) 2013 by the Institute of Electri‐
107       cal  and  Electronics  Engineers,  Inc  and  The  Open Group.  (This is
108       POSIX.1-2008 with the 2013 Technical Corrigendum  1  applied.)  In  the
109       event of any discrepancy between this version and the original IEEE and
110       The Open Group Standard, the original IEEE and The Open Group  Standard
111       is  the  referee document. The original Standard can be obtained online
112       at http://www.unix.org/online.html .
113
114       Any typographical or formatting errors that appear  in  this  page  are
115       most likely to have been introduced during the conversion of the source
116       files to man page format. To report such errors,  see  https://www.ker
117       nel.org/doc/man-pages/reporting_bugs.html .
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121IEEE/The Open Group                  2013                             LOGB(3P)
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