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<pre> <span class="headline">math.h(0P)                POSIX Pro‐
grammer’s  Manual                math.h(0P)</span>  </pre> <h2><a
id="PROLOG" href="#PROLOG"></a>PROLOG  &nbsp; &nbsp; &nbsp;  &nb‐
sp;        <a        href="#top_of_page"><span        class="top‐
link">top</span></a></h2><pre>
       This manual page is part of the POSIX Programmer’s Manual.
The Linux
       implementation of this interface may differ (consult the
       corresponding  Linux  manual page for details of Linux be‐
havior), or
       the interface may not be implemented on Linux.

       delim $$  </pre>  <h2><a  id="NAME"  href="#NAME"></a>NAME
&nbsp;   &nbsp;   &nbsp;   &nbsp;   <a  href="#top_of_page"><span
class="top‐link">top</span></a></h2><pre>
       math.h — mathematical declarations </pre> <h2><a  id="SYN‐
OPSIS" href="#SYNOPSIS"></a>SYNOPSIS  &nbsp; &nbsp; &nbsp; &nbsp;
<a             href="#top_of_page"><span              class="top‐
link">top</span></a></h2><pre>
       #include  &lt;math.h&gt;  </pre>  <h2><a  id="DESCRIPTION"
href="#DESCRIPTION"></a>DESCRIPTION  &nbsp; &nbsp; &nbsp;  &nbsp;
<a              href="#top_of_page"><span             class="top‐
link">top</span></a></h2><pre>
       Some of the functionality described on this reference page
extends
       the  ISO  C standard. Applications shall define the appro‐
priate feature
       test  macro  (see  the   System   Interfaces   volume   of
POSIX.1‐2008, <i>Section</i>
       <i>2.2</i>,  <i>The Compilation Environment</i>) to enable
the visibility of these
       symbols in this header.

       The <i>&lt;math.h&gt;</i> header shall define at least the
following types:

       <b>float_t      </b>A  real‐floating type at least as wide
as <b>float</b>.

       <b>double_t    </b>A real‐floating type at least  as  wide
as <b>double</b>, and at
                   least as wide as <b>float_t</b>.

       If  FLT_EVAL_METHOD  equals  0, <b>float_t </b>and <b>dou‐
ble_t </b>shall be <b>float </b>and
       <b>double</b>, respectively; if FLT_EVAL_METHOD equals  1,
they shall both be
       <b>double</b>;  if  FLT_EVAL_METHOD  equals  2, they shall
both be <b>long double</b>;
       for other values of FLT_EVAL_METHOD, they are otherwise
       implementation‐defined.

       The <i>&lt;math.h&gt;</i> header shall define the  follow‐
ing macros, where real‐
       floating  indicates  that the argument shall be an expres‐
sion of real‐
       floating type:

           <b>int fpclassify(real‐floating x);</b>
           <b>int isfinite(real‐floating x);</b>
           <b>int   isgreater(real‐floating   x,    real‐floating
y);</b>
           <b>int  isgreaterequal(real‐floating  x, real‐floating
y);</b>
           <b>int isinf(real‐floating x);</b>
           <b>int isless(real‐floating x, real‐floating y);</b>
           <b>int  islessequal(real‐floating   x,   real‐floating
y);</b>
           <b>int  islessgreater(real‐floating  x,  real‐floating
y);</b>
           <b>int isnan(real‐floating x);</b>
           <b>int isnormal(real‐floating x);</b>
           <b>int  isunordered(real‐floating   x,   real‐floating
y);</b>
           <b>int signbit(real‐floating x);</b>

       The  <i>&lt;math.h&gt;</i> header shall define the follow‐
ing symbolic constants.
       The values shall have type <b>double </b>and shall be  ac‐
curate within the
       precision of the <b>double </b>type.

       M_E         Value of $e$

       M_LOG2E     Value of $log_ 2" " e$

       M_LOG10E    Value of $log_ 10" " e$

       M_LN2       Value of $log_ e" " 2$

       M_LN10      Value of $log_ e" " 10$

       M_PI        Value of $pi$

       M_PI_2      Value of $pi /2$

       M_PI_4      Value of $pi /4$

       M_1_PI      Value of $1/ pi$

       M_2_PI      Value of $2/ pi$

       M_2_SQRTPI  Value of $2/ sqrt pi$

       M_SQRT2     Value of $sqrt 2$

       M_SQRT1_2   Value of $1/ sqrt 2$

       The  <i>&lt;math.h&gt;</i> header shall define the follow‐
ing symbolic constant:

       MAXFLOAT        Same     value     as      FLT_MAX      in
<i>&lt;float.h&gt;</i>.

       The  <i>&lt;math.h&gt;</i> header shall define the follow‐
ing macros:

       HUGE_VAL    A positive <b>double </b>constant  expression,
not necessarily
                   representable  as  a <b>float</b>.  Used as an
error value
                   returned by the mathematics library.  HUGE_VAL
evaluates
                   to  +infinity  on  systems supporting IEEE Std
754‐1985.

       HUGE_VALF   A positive <b>float  </b>constant  expression.
Used as an error
                   value  returned  by  the  mathematics library.
HUGE_VALF
                   evaluates to +infinity on systems supporting
                   IEEE Std 754‐1985.

       HUGE_VALL   A positive <b>long double </b>constant expres‐
sion. Used as an
                   error  value  returned  by the mathematics li‐
brary.
                   HUGE_VALL evaluates to  +infinity  on  systems
supporting
                   IEEE Std 754‐1985.

       INFINITY      A   constant  expression  of  type  <b>float
</b>representing positive
                   or unsigned infinity,  if  available;  else  a
positive
                   constant  of  type <b>float </b>that overflows
at translation
                   time.

       NAN          A  constant  expression  of   type   <b>float
</b>representing a quiet
                   NaN.  This macro is only defined if the imple‐
mentation
                   supports quiet NaNs for the <b>float </b>type.

       The following macros shall be defined for number classifi‐
cation. They
       represent  the  mutually‐exclusive kinds of floating‐point
values. They
       expand to integer constant expressions with distinct  val‐
ues.
       Additional implementation‐defined floating‐point classifi‐
cations,
       with macro definitions beginning with FP_ and an uppercase
letter,
       may also be specified by the implementation.

              FP_INFINITE FP_NAN FP_NORMAL FP_SUBNORMAL FP_ZERO

       The   following   optional  macros  indicate  whether  the
<i>fma</i>() family of
       functions are fast compared with direct code:

              FP_FAST_FMA FP_FAST_FMAF FP_FAST_FMAL

       If defined, the FP_FAST_FMA macro shall expand to the  in‐
teger
       constant  1 and shall indicate that the <i>fma</i>() func‐
tion generally
       executes about as fast as, or faster than, a multiply  and
an add of
       <b>double  </b>operands. If undefined, the speed of execu‐
tion is unspecified.
       The other macros  have  the  equivalent  meaning  for  the
<b>float </b>and <b>long</b>
       <b>double </b>versions.

       The  following macros shall expand to integer constant ex‐
pressions
       whose values are  returned  by  <i>ilogb</i>(<i>x</i>)  if
<i>x</i> is zero or NaN,
       respectively.  The  value  of  FP_ILOGB0  shall  be either
{INT_MIN} or
       −{INT_MAX}.  The value  of  FP_ILOGBNAN  shall  be  either
{INT_MAX} or
       {INT_MIN}.

              FP_ILOGB0 FP_ILOGBNAN

       The following macros shall expand to the integer constants
1 and 2,
       respectively;

              MATH_ERRNO MATH_ERREXCEPT

       The following macro shall expand to an expression that has
type <b>int</b>
       and  the value MATH_ERRNO, MATH_ERREXCEPT, or the bitwise‐
inclusive OR
       of both:

              math_errhandling

       The value of math_errhandling is constant for the duration
of the
       program.  It  is unspecified whether math_errhandling is a
macro or an
       identifier with external linkage. If a macro definition is
suppressed
       or  a program defines an identifier with the name math_er‐
rhandling ,
       the behavior is undefined. If the expression (math_errhan‐
dling &amp;
       MATH_ERREXCEPT)  can be non‐zero, the implementation shall
define the
       macros  FE_DIVBYZERO,  FE_INVALID,  and   FE_OVERFLOW   in
<i>&lt;fenv.h&gt;</i>.

       The  following shall be declared as functions and may also
be defined
       as macros. Function prototypes shall be provided.

           <b>double      acos(double);</b>
           <b>float       acosf(float);</b>
           <b>double      acosh(double);</b>
           <b>float       acoshf(float);</b>
           <b>long double acoshl(long double);</b>
           <b>long double acosl(long double);</b>
           <b>double      asin(double);</b>
           <b>float       asinf(float);</b>
           <b>double      asinh(double);</b>
           <b>float       asinhf(float);</b>
           <b>long double asinhl(long double);</b>
           <b>long double asinl(long double);</b>
           <b>double      atan(double);</b>
           <b>double      atan2(double, double);</b>
           <b>float       atan2f(float, float);</b>
           <b>long double atan2l(long double, long double);</b>
           <b>float       atanf(float);</b>
           <b>double      atanh(double);</b>
           <b>float       atanhf(float);</b>
           <b>long double atanhl(long double);</b>
           <b>long double atanl(long double);</b>
           <b>double      cbrt(double);</b>
           <b>float       cbrtf(float);</b>
           <b>long double cbrtl(long double);</b>
           <b>double      ceil(double);</b>
           <b>float       ceilf(float);</b>
           <b>long double ceill(long double);</b>
           <b>double      copysign(double, double);</b>
           <b>float       copysignf(float, float);</b>
           <b>long  double  copysignl(long  double,   long   dou‐
ble);</b>
           <b>double      cos(double);</b>
           <b>float       cosf(float);</b>
           <b>double      cosh(double);</b>
           <b>float       coshf(float);</b>
           <b>long double coshl(long double);</b>
           <b>long double cosl(long double);</b>
           <b>double      erf(double);</b>
           <b>double      erfc(double);</b>
           <b>float       erfcf(float);</b>
           <b>long double erfcl(long double);</b>
           <b>float       erff(float);</b>
           <b>long double erfl(long double);</b>
           <b>double      exp(double);</b>
           <b>double      exp2(double);</b>
           <b>float       exp2f(float);</b>
           <b>long double exp2l(long double);</b>
           <b>float       expf(float);</b>
           <b>long double expl(long double);</b>
           <b>double      expm1(double);</b>
           <b>float       expm1f(float);</b>
           <b>long double expm1l(long double);</b>
           <b>double      fabs(double);</b>
           <b>float       fabsf(float);</b>
           <b>long double fabsl(long double);</b>
           <b>double      fdim(double, double);</b>
           <b>float       fdimf(float, float);</b>
           <b>long double fdiml(long double, long double);</b>
           <b>double      floor(double);</b>
           <b>float       floorf(float);</b>
           <b>long double floorl(long double);</b>
           <b>double      fma(double, double, double);</b>
           <b>float       fmaf(float, float, float);</b>
           <b>long  double  fmal(long  double,  long double, long
double);</b>
           <b>double      fmax(double, double);</b>
           <b>float       fmaxf(float, float);</b>
           <b>long double fmaxl(long double, long double);</b>
           <b>double      fmin(double, double);</b>
           <b>float       fminf(float, float);</b>
           <b>long double fminl(long double, long double);</b>
           <b>double      fmod(double, double);</b>
           <b>float       fmodf(float, float);</b>
           <b>long double fmodl(long double, long double);</b>
           <b>double      frexp(double, int *);</b>
           <b>float       frexpf(float, int *);</b>
           <b>long double frexpl(long double, int *);</b>
           <b>double      hypot(double, double);</b>
           <b>float       hypotf(float, float);</b>
           <b>long double hypotl(long double, long double);</b>
           <b>int         ilogb(double);</b>
           <b>int         ilogbf(float);</b>
           <b>int         ilogbl(long double);</b>
           <b>double      j0(double);</b>
           <b>double      j1(double);</b>
           <b>double      jn(int, double);</b>
           <b>double      ldexp(double, int);</b>
           <b>float       ldexpf(float, int);</b>
           <b>long double ldexpl(long double, int);</b>
           <b>double      lgamma(double);</b>
           <b>float       lgammaf(float);</b>
           <b>long double lgammal(long double);</b>
           <b>long long   llrint(double);</b>
           <b>long long   llrintf(float);</b>
           <b>long long   llrintl(long double);</b>
           <b>long long   llround(double);</b>
           <b>long long   llroundf(float);</b>
           <b>long long   llroundl(long double);</b>
           <b>double      log(double);</b>
           <b>double      log10(double);</b>
           <b>float       log10f(float);</b>
           <b>long double log10l(long double);</b>
           <b>double      log1p(double);</b>
           <b>float       log1pf(float);</b>
           <b>long double log1pl(long double);</b>
           <b>double      log2(double);</b>
           <b>float       log2f(float);</b>
           <b>long double log2l(long double);</b>
           <b>double      logb(double);</b>
           <b>float       logbf(float);</b>
           <b>long double logbl(long double);</b>
           <b>float       logf(float);</b>
           <b>long double logl(long double);</b>
           <b>long        lrint(double);</b>
           <b>long        lrintf(float);</b>
           <b>long        lrintl(long double);</b>
           <b>long        lround(double);</b>
           <b>long        lroundf(float);</b>
           <b>long        lroundl(long double);</b>
           <b>double      modf(double, double *);</b>
           <b>float       modff(float, float *);</b>
           <b>long double modfl(long double, long double *);</b>
           <b>double      nan(const char *);</b>
           <b>float       nanf(const char *);</b>
           <b>long double nanl(const char *);</b>
           <b>double      nearbyint(double);</b>
           <b>float       nearbyintf(float);</b>
           <b>long double nearbyintl(long double);</b>
           <b>double      nextafter(double, double);</b>
           <b>float       nextafterf(float, float);</b>
           <b>long  double  nextafterl(long  double,  long   dou‐
ble);</b>
           <b>double      nexttoward(double, long double);</b>
           <b>float       nexttowardf(float, long double);</b>
           <b>long  double  nexttowardl(long  double,  long  dou‐
ble);</b>
           <b>double      pow(double, double);</b>
           <b>float       powf(float, float);</b>
           <b>long double powl(long double, long double);</b>
           <b>double      remainder(double, double);</b>
           <b>float       remainderf(float, float);</b>
           <b>long  double  remainderl(long  double,  long   dou‐
ble);</b>
           <b>double      remquo(double, double, int *);</b>
           <b>float       remquof(float, float, int *);</b>
           <b>long  double  remquol(long double, long double, int
*);</b>
           <b>double      rint(double);</b>
           <b>float       rintf(float);</b>
           <b>long double rintl(long double);</b>
           <b>double      round(double);</b>
           <b>float       roundf(float);</b>
           <b>long double roundl(long double);</b>
           <b>double      scalbln(double, long);</b>
           <b>float       scalblnf(float, long);</b>
           <b>long double scalblnl(long double, long);</b>
           <b>double      scalbn(double, int);</b>
           <b>float       scalbnf(float, int);</b>
           <b>long double scalbnl(long double, int);</b>
           <b>double      sin(double);</b>
           <b>float       sinf(float);</b>
           <b>double      sinh(double);</b>
           <b>float       sinhf(float);</b>
           <b>long double sinhl(long double);</b>
           <b>long double sinl(long double);</b>
           <b>double      sqrt(double);</b>
           <b>float       sqrtf(float);</b>
           <b>long double sqrtl(long double);</b>
           <b>double      tan(double);</b>
           <b>float       tanf(float);</b>
           <b>double      tanh(double);</b>
           <b>float       tanhf(float);</b>
           <b>long double tanhl(long double);</b>
           <b>long double tanl(long double);</b>
           <b>double      tgamma(double);</b>
           <b>float       tgammaf(float);</b>
           <b>long double tgammal(long double);</b>
           <b>double      trunc(double);</b>
           <b>float       truncf(float);</b>
           <b>long double truncl(long double);</b>
           <b>double      y0(double);</b>
           <b>double      y1(double);</b>
           <b>double      yn(int, double);</b>

       The following external variable shall be defined:

           <b>extern int signgam;</b>

       The  behavior  of  each  of  the  functions   defined   in
<i>&lt;math.h&gt;</i> is
       specified  in the System Interfaces volume of POSIX.1‐2008
for all
       representable values of its input arguments, except  where
stated
       otherwise.  Each  function  shall  execute as if it were a
single
       operation without generating any externally visible excep‐
tional
       conditions.

       <i>The  following  sections  are  informative.</i>  </pre>
<h2><a  id="APPLICATION_USAGE"  href="#APPLICATION_USAGE"></a>AP‐
PLICATION    USAGE     &nbsp;    &nbsp;    &nbsp;    &nbsp;    <a
href="#top_of_page"><span                             class="top‐
link">top</span></a></h2><pre>
       The  FP_CONTRACT pragma can be used to allow (if the state
is on) or
       disallow (if the state is off) the implementation to  con‐
tract
       expressions. Each pragma can occur either outside external
       declarations  or  preceding  all explicit declarations and
statements
       inside a compound statement. When outside external  decla‐
rations, the
       pragma  takes  effect  from  its  occurrence until another
FP_CONTRACT
       pragma is encountered, or until the end of the translation
unit. When
       inside  a compound statement, the pragma takes effect from
its
       occurrence until another FP_CONTRACT pragma is encountered
(including
       within  a  nested compound statement), or until the end of
the compound
       statement; at the end of a compound  statement  the  state
for the
       pragma  is  restored to its condition just before the com‐
pound
       statement. If this pragma is used in  any  other  context,
the behavior
       is undefined. The default state (on or off) for the pragma
is
       implementation‐defined.

       Applications  should  use  FLT_MAX  as  described  in  the
<i>&lt;float.h&gt;</i> header
       instead   of  the  obsolescent  MAXFLOAT.   </pre>  <h2><a
id="RATIONALE"  href="#RATIONALE"></a>RATIONALE   &nbsp;   &nbsp;
&nbsp;    &nbsp;    <a    href="#top_of_page"><span   class="top‐
link">top</span></a></h2><pre>
       Before the ISO/IEC 9899:1999 standard,  the  math  library
was defined
       only  for  the floating type <b>double</b>.  All the names
formed by appending
       <b>’f’    </b>or    <b>’l’    </b>to     a     name     in
<i>&lt;math.h&gt;</i> were reserved to allow for the
       definition  of  <b>float  </b>and  <b>long  double </b>li‐
braries; and the
       ISO/IEC 9899:1999 standard provides for all three versions
of math
       functions.

       The    functions    <i>ecvt</i>(),    <i>fcvt</i>(),   and
<i>gcvt</i>() have been dropped from the
       ISO C standard since their capability is available through
<i>sprintf</i>().      </pre>    <h2><a    id="FUTURE_DIRECTIONS"
href="#FUTURE_DIRECTIONS"></a>FUTURE  DIRECTIONS   &nbsp;  &nbsp;
&nbsp;    &nbsp;    <a    href="#top_of_page"><span   class="top‐
link">top</span></a></h2><pre>
       None.    </pre>   <h2><a   id="SEE_ALSO"    href="#SEE_AL‐
SO"></a>SEE    ALSO     &nbsp;    &nbsp;    &nbsp;    &nbsp;   <a
href="#top_of_page"><span                             class="top‐
link">top</span></a></h2><pre>
       <a    href="../man0/float.h.0p.html">float.h(0p)</a>,   <a
href="../man0/stddef.h.0p.html">stddef.h(0p)</a>,              <a
href="../man0/sys_types.h.0p.html">sys_types.h(0p)</a>

       The  System  Interfaces volume of POSIX.1‐2008, <i>Section
2.2</i>, <i>The</i>
       <i>Compilation             Environment</i>,             <a
href="../man3/acos.3p.html">acos(3p)</a>,                      <a
href="../man3/acosh.3p.html">acosh(3p)</a>,                    <a
href="../man3/asin.3p.html">asin(3p)</a>,   <a  href="../man3/as‐
inh.3p.html">asinh(3p)</a>,
       <a      href="../man3/atan.3p.html">atan(3p)</a>,       <a
href="../man3/atan2.3p.html">atan2(3p)</a>,                    <a
href="../man3/atanh.3p.html">atanh(3p)</a>,                    <a
href="../man3/cbrt.3p.html">cbrt(3p)</a>,                      <a
href="../man3/ceil.3p.html">ceil(3p)</a>, <a  href="../man3/copy‐
sign.3p.html">copysign(3p)</a>,
       <a        href="../man3/cos.3p.html">cos(3p)</a>,       <a
href="../man3/cosh.3p.html">cosh(3p)</a>,                      <a
href="../man3/erf.3p.html">erf(3p)</a>,    <a   href="../man3/er‐
fc.3p.html">erfc(3p)</a>,                                      <a
href="../man3/exp.3p.html">exp(3p)</a>,                        <a
href="../man3/exp2.3p.html">exp2(3p)</a>,                      <a
href="../man3/expm1.3p.html">expm1(3p)</a>,
       <a       href="../man3/fabs.3p.html">fabs(3p)</a>,      <a
href="../man3/fdim.3p.html">fdim(3p)</a>,                      <a
href="../man3/floor.3p.html">floor(3p)</a>,                    <a
href="../man3/fma.3p.html">fma(3p)</a>,                        <a
href="../man3/fmax.3p.html">fmax(3p)</a>,                      <a
href="../man3/fmin.3p.html">fmin(3p)</a>,                      <a
href="../man3/fmod.3p.html">fmod(3p)</a>,
       <a   href="../man3/fpclassify.3p.html">fpclassify(3p)</a>,
<a         href="../man3/frexp.3p.html">frexp(3p)</a>,         <a
href="../man3/hypot.3p.html">hypot(3p)</a>,                    <a
href="../man3/ilogb.3p.html">ilogb(3p)</a>, <a  href="../man3/is‐
finite.3p.html">isfinite(3p)</a>,
       <a  href="../man3/isgreater.3p.html">isgreater(3p)</a>, <a
href="../man3/isgreaterequal.3p.html">isgreaterequal(3p)</a>,  <a
href="../man3/isinf.3p.html">isinf(3p)</a>,  <a href="../man3/is‐
less.3p.html">isless(3p)</a>,
       <a href="../man3/islessequal.3p.html">islessequal(3p)</a>,
<a href="../man3/islessgreater.3p.html">islessgreater(3p)</a>, <a
href="../man3/isnan.3p.html">isnan(3p)</a>, <a  href="../man3/is‐
normal.3p.html">isnormal(3p)</a>,
       <a href="../man3/isunordered.3p.html">isunordered(3p)</a>,
<a  href="../man3/j0.3p.html">j0(3p)</a>,  <a   href="../man3/ld‐
exp.3p.html">ldexp(3p)</a>,         <a        href="../man3/lgam‐
ma.3p.html">lgamma(3p)</a>, <a  href="../man3/llrint.3p.html">ll‐
rint(3p)</a>,
       <a    href="../man3/llround.3p.html">llround(3p)</a>,   <a
href="../man3/log.3p.html">log(3p)</a>,                        <a
href="../man3/log10.3p.html">log10(3p)</a>,                    <a
href="../man3/log1p.3p.html">log1p(3p)</a>,                    <a
href="../man3/log2.3p.html">log2(3p)</a>,                      <a
href="../man3/logb.3p.html">logb(3p)</a>,
       <a     href="../man3/lrint.3p.html">lrint(3p)</a>,      <a
href="../man3/lround.3p.html">lround(3p)</a>,                  <a
href="../man3/modf.3p.html">modf(3p)</a>,                      <a
href="../man3/nan.3p.html">nan(3p)</a>,   <a  href="../man3/near‐
byint.3p.html">nearbyint(3p)</a>,
       <a href="../man3/nextafter.3p.html">nextafter(3p)</a>,  <a
href="../man3/pow.3p.html">pow(3p)</a>,  <a href="../man3/remain‐
der.3p.html">remainder(3p)</a>,                                <a
href="../man3/remquo.3p.html">remquo(3p)</a>,                  <a
href="../man3/rint.3p.html">rint(3p)</a>,
       <a     href="../man3/round.3p.html">round(3p)</a>,      <a
href="../man3/scalbln.3p.html">scalbln(3p)</a>,                <a
href="../man3/signbit.3p.html">signbit(3p)</a>,                <a
href="../man3/sin.3p.html">sin(3p)</a>,                        <a
href="../man3/sinh.3p.html">sinh(3p)</a>,                      <a
href="../man3/sqrt.3p.html">sqrt(3p)</a>,
       <a        href="../man3/tan.3p.html">tan(3p)</a>,       <a
href="../man3/tanh.3p.html">tanh(3p)</a>, <a  href="../man3/tgam‐
ma.3p.html">tgamma(3p)</a>,                                    <a
href="../man3/trunc.3p.html">trunc(3p)</a>,                    <a
href="../man3/y0.3p.html">y0(3p)</a> </pre> <h2><a id="COPYRIGHT"
href="#COPYRIGHT"></a>COPYRIGHT  &nbsp; &nbsp; &nbsp;  &nbsp;  <a
href="#top_of_page"><span                             class="top‐
link">top</span></a></h2><pre>
       Portions of this text  are  reprinted  and  reproduced  in
electronic form
       from  IEEE Std 1003.1, 2013 Edition, Standard for Informa‐
tion
       Technology ‐‐ Portable Operating System Interface (POSIX),
The Open
       Group  Base  Specifications Issue 7, Copyright (C) 2013 by
the
       Institute of Electrical and Electronics Engineers, Inc and
The Open
       Group.  (This is POSIX.1‐2008 with the 2013 Technical Cor‐
rigendum 1
       applied.) In the event of  any  discrepancy  between  this
version and
       the  original IEEE and The Open Group Standard, the origi‐
nal IEEE and
       The Open Group Standard is the referee document. The orig‐
inal
       Standard     can     be     obtained    online    at    <a
href="http://www.unix.org/online.html">http://www.unix.org/on‐
line.html</a> .

       Any typographical or formatting errors that appear in this
page are
       most likely to have been introduced during the  conversion
of the
       source  files  to  man page format. To report such errors,
see
       <a      href="https://www.kernel.org/doc/man‐pages/report‐
ing_bugs.html">https://www.kernel.org/doc/man‐pages/report‐
ing_bugs.html</a> .

<span class="footline">IEEE/The Open  Group                  2013
math.h(0P)</span> </pre>

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