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matherr(3m)

Mathematical Library Functions                                     matherr(3M)



NAME
       matherr - math library exception-handling function

SYNOPSIS
       #include <math.h>

       int matherr(struct exception *exc);

DESCRIPTION
       The System V Interface Definition, Third Edition (SVID3) specifies that
       certain libm functions call matherr()  when  exceptions  are  detected.
       Users  may  define  their  own  mechanisms  for handling exceptions, by
       including a function named matherr() in their programs.  The  matherr()
       function  is  of  the form described above. When an exception occurs, a
       pointer to the exception structure exc will be passed to the  user-sup‐
       plied  matherr()  function.  This  structure,  which  is defined in the
       <math.h> header file, is as follows:

         struct exception {
              int type;
              char *name;
              double arg1, arg2, retval;
         };



       The type member is an integer describing the type of exception that has
       occurred,  from  the following list of constants (defined in the header
       file):

       DOMAIN       argument domain exception


       SING         argument singularity


       OVERFLOW     overflow range exception


       UNDERFLOW    underflow range exception


       TLOSS        total loss of significance


       PLOSS        partial loss of significance



       Both TLOSS and PLOSS reflect limitations of particular  algorithms  for
       trigonometric functions that suffer abrupt declines in accuracy at def‐
       inite boundaries. Since the implementation does not suffer such  abrupt
       declines,  PLOSS  is never signaled. TLOSS is signaled for Bessel func‐
       tions only to satisfy SVID3 requirements.


       The name member points to a string containing the name of the  function
       that  incurred  the  exception. The arg1 and arg2 members are the argu‐
       ments with which the function was invoked. retval is set to the default
       value that will be returned by the function unless the user's matherr()
       sets it to a different value.


       If the user's matherr() function returns non-zero, no exception message
       will be printed and errno is not set.

SVID3 STANDARD CONFORMANCE
       When  an  application  is  built as a SVID3 conforming application (see
       standards(7)), if matherr() is not supplied by the  user,  the  default
       matherr  exception-handling  mechanisms, summarized in the table below,
       are invoked upon exception:

       DOMAIN       0.0 is usually returned, errno is set to EDOM and  a  mes‐
                    sage is usually printed on standard error.


       SING         The largest finite single-precision number, HUGE of appro‐
                    priate sign, is returned, errno is set to EDOM, and a mes‐
                    sage is printed on standard error.


       OVERFLOW     The largest finite single-precision number, HUGE of appro‐
                    priate sign, is usually  returned  and  errno  is  set  to
                    ERANGE.


       UNDERFLOW    0.0 is returned and errno is set to ERANGE.


       TLOSS        0.0  is returned, errno is set to ERANGE, and a message is
                    printed on standard error.



       In general, errno is not a reliable error indicator because it  can  be
       unexpectedly set by a function in a handler for an asynchronous signal.

   SVID3 ERROR HANDLING PROCEDURES (compile with cc \-Xt)
       tab()   box;  cw(1.29i)  |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |cw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)   lw(1.29i)   |cw(0.81i)  |cw(0.79i)  |cw(0.88i)  |cw(1.03i)
       |lw(0.71i)  lw(1.29i)  |cw(0.81i)  |cw(0.79i)   |cw(0.88i)   |cw(1.03i)
       |cw(0.71i)


       <math.h>     typeDOMAINSINGOVERFLOWUNDERFLOWTLOSS     _     errnoEDOME‐
       DOMERANGEERANGEERANGE  _  IEEE  ExceptionInvalid  OperationDivision  by
       ZeroOverflowUnderflow− _ fp_exception_typefp_invalidfp_divisionfp_over‐
       flowfp_underflow − _ ACOS, ASIN(|x| > 1):Md, 0.0−−− − _ ACOSH(x  <  1),
       ATANH(|x|  > 1):NaN−−−− _ ATAN2(0,0):Md, 0.0−−−− _ COSH, SINH:−−±HUGE−−
       _ EXP:−−+HUGE0.0− _ FMOD(x,0):x−−−− _ HYPOT:−−+HUGE−− _ J0, J1,  JN(|x|
       > X_TLOSS):−−−−Mt, 0.0 _ LGAMMA:
        usual cases−−+HUGE− −
        (x = 0 or −integer) −Ms, +HUGE−− − _ LOG, LOG10:
        (x < 0)Md, −HUGE− −− −
        (x = 0)−Ms, −HUGE−−− _ POW:
        usual cases−−±HUGE±0.0 −
        (x < 0) ** (y not an integer)Md, 0.0−−−−
        0 ** 0Md, 0.0−−−−
        0    **    (y    <    0)Md,    0.0−−−   _   REMAINDER(x,0):NaN−−−−   _
       SCALB:−−±HUGE_VAL±0.0− _ SQRT(x < 0):Md, 0.0−−− − _ Y0, Y1, YN:
        (x < 0)Md, −HUGE−−− −
        (x = 0)−Md, −HUGE−− −
        (x > X_TLOSS)−−−−Mt, 0.0


   Abbreviations
       Md          Message is printed (DOMAIN error).


       Ms          Message is printed (SING error).


       Mt          Message is printed (TLOSS error).


       NaN         IEEE NaN result and invalid operation exception.


       HUGE        Maximum finite single-precision floating-point number.


       HUGE_VAL    IEEE ∞ result and division-by-zero exception.


       X_TLOSS     The value X_TLOSS is defined in <values.h>.



       The interaction of IEEE arithmetic and matherr() is  not  defined  when
       executing  under  IEEE  rounding  modes other than the default round to
       nearest: matherr() is not always called on overflow  or  underflow  and
       can return results that differ from those in this table.

X/OPEN COMMON APPLICATION ENVIRONMENT (CAE) SPECIFICATIONS CONFORMANCE
       The  X/Open System Interfaces and Headers (XSH) Issue 3 and later revi‐
       sions of that specification no longer sanctions the use of the  matherr
       interface.  The  following  table summarizes the values returned in the
       exceptional cases. In general, XSH dictates that as long as one of  the
       input  argument(s) is a NaN, NaN is returned. In particular, pow(NaN,0)
       = NaN.

   CAE SPECIFICATION ERROR HANDLING PROCEDURES (compile with cc -Xa)
       tab()  box;  cw(0.82i)   |cw(1.03i)   |cw(1i)   |cw(0.97i)   |cw(0.96i)
       |cw(0.72i)   lw(0.82i)   |cw(1.03i)   |cw(1i)   |cw(0.97i)   |cw(0.96i)
       |cw(0.72i)


       <math.h>     typeDOMAINSINGOVERFLOWUNDERFLOWTLOSS     _     errnoEDOME‐
       DOMERANGEERANGEERANGE    _    ACOS,    ASIN(|x|   >   1):0.0−−−   −   _
       ATAN2(0,0):0.0−−−−     _     COSH,     SINH:−−{±HUGE_VAL}−     −      _
       EXP:−−{+HUGE_VAL}{0.0}− _ FMOD(x,0):{NaN}−−−− _ HYPOT:−−{+HUGE_VAL}−− _
       J0, J1, JN(|x| > X_TLOSS):−−−−{0.0} _ LGAMMA:
        usual cases−−{+HUGE_VAL}− −
        (x = 0 or −integer) −+HUGE_VAL−− − _ LOG, LOG10:
        (x < 0)-HUGE_VAL−−−−
        (x = 0)−-HUGE_VAL−− − _ POW:
        usual cases−−±HUGE_VAL±0.0−
        (x < 0) ** (y not an integer)0.0−−−−
        0 ** 0{1.0}−−−−
        0 ** (y < 0){-HUGE_VAL}−−−− _ SQRT(x < 0):0.0−−−− _ Y0, Y1, YN:
        (x < 0){-HUGE_VAL}−−−−
        (x = 0)−{-HUGE_VAL}−−−
        (x > X_TLOSS)−−−−0.0


   Abbreviations
       {...}       errno is not to be relied upon in all braced cases.


       NaN         IEEE NaN result and invalid operation exception.


       HUGE_VAL    IEEE ∞ result and division-by-zero exception.


       X_TLOSS     The value X_TLOSS is defined in <values.h>.


ANSI/ISO-C STANDARD CONFORMANCE
       The ANSI/ISO-C standard covers a small subset of the CAE specification.


       The following table summarizes the values returned in  the  exceptional
       cases.

   ANSI/ISO-C ERROR HANDLING PROCEDURES (compile with cc -Xc)
       tab()  box;  cw(1.1i) |cw(1.1i) |cw(1.1i) |cw(1.1i) |cw(1.11i) lw(1.1i)
       |cw(1.1i) |cw(1.1i) |cw(1.1i) |cw(1.11i)


       <math.h> typeDOMAINSINGOVERFLOWUNDERFLOW _ errnoEDOMEDOMERANGEERANGE  _
       ACOS,  ASIN(|x|  > 1):0.0−−− _ ATAN2(0,0):0.0−−− _ EXP:−−+HUGE_VAL0.0 _
       FMOD(x,0):NaN−−− _ LOG, LOG10:
        (x < 0)-HUGE_VAL−−−
        (x = 0)−-HUGE_VAL−− _ POW:
        usual cases−−±HUGE_VAL±0.0
        (x < 0) ** (y not an integer)0.0−−−
        0 ** (y < 0)-HUGE_VAL−−− _ SQRT(x < 0):0.0−−−


   ABBREVIATIONS
       NaN         IEEE NaN result and invalid operation exception.


       HUGE_VAL    IEEE ∞ result and division-by-zero.


EXAMPLES
       Example 1 Example of matherr() function


         #include <stdio.h>
         #include <stdlib.h>
         #include <math.h>

         int
         matherr(struct exception *x) {
             switch (x−>type) {
                 case DOMAIN:
                     /* change sqrt to return sqrt(−arg1), not NaN */
            if (!strcmp(x−>name, "sqrt")) {
             x−>retval = sqrt(−x−>arg1);
             return (0); /* print message and set errno */
            } /* FALLTHRU */
           case SING:
            /* all other domain or sing exceptions, print message and */
            /* abort */
            fprintf(stderr, "domain exception in %s\n", x−>name);
            abort( );
            break;
           }
           return (0); /* all other exceptions, execute default procedure */
          }



ATTRIBUTES
       See attributes(7) for descriptions of the following attributes:


       tab() box; cw(2.75i) |cw(2.75i) lw(2.75i) |lw(2.75i)


       ATTRIBUTE TYPEATTRIBUTE  VALUE  _  MT-LevelMT-Safe  _  Availabilitysys‐
       tem/library/math


SEE ALSO
       attributes(7), standards(7)



Solaris 11.4                     27 Sept 2016                      matherr(3M)
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