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SIGFPE(3C)							    SIGFPE(3C)

NAME
     handle_sigfpes - floating-point exception handler package

SYNOPSIS
     #include <sigfpe.h>

     void handle_sigfpes (int onoff, int en_mask,
			  void (*user_routine)(unsigned[5], int[2]),
			  int abort_action,
			  void (*abort_routine)(unsigned int **));

     typedef void (*user_t)(unsigned[5], int[2]);

     typedef void (*abort_t)(unsigned int **);

     struct sigfpe_template
	  {
	  int repls;
	  int count;
	  int trace;
	  int abort;
	  int exit;
	  };

     extern struct sigfpe_template sigfpe_[_N_EXCEPTION_TYPES+1];

     extern int invalidop_results_[_N_INVALIDOP_RESULTS+1];

     extern int invalidop_operands_[_N_INVALIDOP_OPERANDS+1];

DESCRIPTION
     The floating-point accelerator may raise floating-point exceptions,
     signal SIGFPE, due to five conditions:  _OVERFL(overflow),
     _UNDERFL(underflow), _DIVZERO(divide-by-zero), _INEXACT(inexact result),
     or _INVALID(invalid operand, e.g., infinity). Usually these conditions
     are masked, and do not cause a floating-point exception. Instead, a
     default value is substituted for the result of the operation, and the
     program continues silently. This event may be intercepted by causing an
     exception to be raised.  When this occurs, the operating system generates
     a SIGFPE signal.

     The integer arithmetic instructions add, addi, dadd, daddi, sub, and dsub
     also generate a SIGFPE signal when the result of the operation overflows
     (condition _INT_OVERFL).  (At the moment, SGI compilers generate only
     unsigned versions of these instructions, which do not generate a signal
     on overflow.  However it is still possible to generate these instructions
     via assembly language).

     For -o32 programs, the compiler generates additional instructions to
     detect and trap on integer-divide-by-zero.	 No similar detection code
     sequences are generated in -n32 or -64 programs.

									Page 1

SIGFPE(3C)							    SIGFPE(3C)

     Once an exception is raised, the specific conditions which caused the
     exception may be determined, and more appropriate action taken.

     The library libfpe.so provides two methods to unmask and handle these
     conditions: the subroutine handle_sigfpes, and the environment variable
     TRAP_FPE.	Both methods provide a mechanism for unmasking each of these
     conditions except _INEXACT, for handling and classifying exceptions
     arising from them, and for substituting either a default value or a
     chosen one.  They also provide mechanisms to count, trace, exit or abort
     on enabled exceptions.  If the user supplies his own call to
     handle_sigfpes he should leave environment variable TRAP_FPE undefined or
     set to OFF.  TRAP_FPE is supported for Fortran, C, C++ and Pascal.
     Handle_sigfpes is supported for C, C++ and Fortran.

     Calling the subroutine is the preferred method when preparing software
     for others to use, since it relieves the user of any need to know about
     the TRAP_FPE environment variable.

     The environment variable is preferable if one wants to experiment or
     allow any user to experiment with different trap behaviors with minimum
     effort.

     Libfpe uses System V signal handling and will not work with programs
     which use Berkeley signal handling.

     Note that the preferred method for flushing denormals to zero is to set
     the FS bit to 1 in the floating point control status register.  The
     following routine (written in c) can be used to set/clear the FS bit.

	  #include <sys/fpu.h>

	  void
	  flush_to_zero(int on_off)
	  {
	  union fpc_csr	 n;

	       n.fc_word = get_fpc_csr();
	       if ( on_off == 0 ) {
		    n.fc_struct.flush = 0;
	       } else {
		    n.fc_struct.flush = 1;
	       }
	       set_fpc_csr(n.fc_word);
	  }

     Note that if the FS bit in the floating point control status register is
     set, it remains set after calling handle_sigfpes(_OFF, ...

     Be sure to read the section NOTES FOR R8000, below, which describes the
     behavior of libfpe.so on the R8000 processor.

									Page 2

SIGFPE(3C)							    SIGFPE(3C)

HANDLE_SIGFPES SUBROUTINE
     The values in the global arrays are described in the section WHEN AN
     EXCEPTION IS ENCOUNTERED later in this man page.

     The arguments to handle_sigfpes are as follows:

     onoff is a flag indicating whether handling is being turned on (onoff ==
     _ON) or off (onoff == _OFF). (onoff == _DEBUG) is another way to turn on
     handling.	Information from the sigfpe structure will be printed if
     (onoff == _DEBUG).	 (all the names used in this document are defined in
     sigfpe.h).

     en_mask indicates which of the five conditions should be unmasked,
     enabling them to raise floating-point exceptions/or an integer overflow
     exception.	 en_mask is only valid if onoff == _ON	or onoff == _DEBUG,
     and is the bitwise or of one or more of the constants _EN_UNDERFL,
     _EN_OVERFL, _EN_DIVZERO, _EN_INVALID, and _EN_INT_OVERFL (defined in
     sigfpe.h).

     user_routine: handle_sigfpes provides a mechanism for setting the result
     of the operation to any one of a set of well-known values.	 If full
     control over the value of selected operations is desired for one or more
     exception conditions, a function user_routine must be provided.  For
     these selected exception conditions, user_routine will be called to set
     the value resulting from the operation.  Pass a 0 (plain 0 is adequate)
     if you do not wish to provide a user_routine. Typedef user_t is defined
     in sigfpe.h for convenience in programming.

     abort_action: If the handler encounters an unexpected condition or an
     inconsistency, the flag abort_action indicates what action should be
     taken.  Another option is for the user to specify that he is supplying
     his own floating point exception handler as the default handler.  Legal
     values are:

									Page 3

SIGFPE(3C)							    SIGFPE(3C)

	     _________________________________________________________
					   instruct the floating-
					   point-accelerator to cease
					   causing exceptions and
					   continue.  (i.e., disable
					   handling)
	      _TURN_OFF_HANDLER_ON_ERROR

	     _________________________________________________________
					   kill the process after
					   giving an error message
					   and calling a user-
					   supplied cleanup routine
					   if one is provided via the
					   abort_routine parameter.
			 _ABORT_ON_ERROR

	     _________________________________________________________
					   install the indicated user
					   routine as the handler
					   when such an error is
					   encountered.	 Future
					   floating-point exceptions
					   will branch to the user-
					   routine. (see signal(2))
	       _REPLACE_HANDLER_ON_ERROR

	     _________________________________________________________
					   install the indicated user
					   routine as the handler
					   immediately.	 Future
					   floating-point exceptions
					   will branch to the user-
					   routine. (see signal(2))
			   _USER_HANDLER

	     _________________________________________________________
	     |

								      |

     abort_routine: When a fatal error (i.e., one described under abort_action
     above) is encountered, abort_routine is used as the address of a user
     routine.

     If abort_action is _ABORT_ON_ERROR, and abort_routine is valid, it is
     called before aborting, and passed a pointer to the address of the
     instruction causing the exception as its single argument.
     In this case, the user's abort_routine should be defined as

     void abort_routine( ptr_to_pc )
     unsigned int **ptr_to_pc;

     If abort_action is _REPLACE_HANDLER_ON_ERROR, and abort_routine is valid,
     it will be installed as the new handler.  In this case, abort_routine
     will be called immediately to handle the current exception.  (see
     signal(2)) Pass a 0 (plain 0 is adequate) if you do not wish to provide
     an abort_action routine.

     If abort_action is _USER_HANDLER, and abort_routine is valid, it will be
     installed immediately as the default floating point exception handler.

									Page 4

SIGFPE(3C)							    SIGFPE(3C)

     If abort_routine is to be invoked as a floating point exception handler,
     the following prototype should be used (see <sigfpe.h>, <sys/signal.h>,
     and signal(2)):

     int user_handler( sig, code, sc )
     int sig, code;
     struct sigcontext *sc;

     Typedef abort_t is defined in sigfpe.h for convenience in programming.

     Routine user_handler should return 0 to continue processing of the user's
     code and a non-zero value to disconnect user_handler as the floating
     point exception handler.  User_handler should not issue a call to
     signal(), nor should it update the program counter in the sigcontext
     area, because these actions are done in the routine which calls it.  A
     user handler can determine which type of exception has occurred by
     calling routine __fpe_trap_type().	 This routine returns one of _UNDERFL,
     _OVERFL, etc. as appropriate.

     Users can supply separate handlers for each exception type by making
     multiple calls to handle_sigfpes.	See the third example below.
     Similarly, trap handling for one or more exception types can be turned
     off by or-ing the appropriate combination of masks in the second
     parameter to handle_sigfpes.

     handle_sigfpes(OFF, 0, ...

     disables handling of all SIGFPE signals.

EXAMPLES OF CALLS TO HANDLE_SIGFPES
	  #include <sigfpe.h>

	  /* call this during program startup
	     to set underflowing values to zero
	  */

	  void	my_underflow_to_zero(void)
	  {
	    /* underflow to zero */

	    sigfpe_[_UNDERFL].repls = _ZERO;

	    /* only trap on underflow */

	    handle_sigfpes(_ON, _EN_UNDERFL , 0, _ABORT_ON_ERROR, 0);
	  }

     The above example does one thing only: it sets up traps of underflow
     which change the resulting value to zero.

									Page 5

SIGFPE(3C)							    SIGFPE(3C)

     The following is a more complicated example.

	  #include <limits.h> /* to get INT_MAX */
	  #include <sigfpe.h>

	  main()
	  {
	    /* underflow to zero */

	    sigfpe_[_UNDERFL].repls = _ZERO;

	    /* substitute max float/double on overflow */

	    sigfpe_[_OVERFL].repls=_MAX;

	    /* trace first 5 exceptions of each kind */

	    sigfpe_[_UNDERFL].trace=5;
	    sigfpe_[_OVERFL].trace =5;
	    sigfpe_[_DIVZERO].trace=5;
	    sigfpe_[_INVALID].trace=5;
	    sigfpe_[_INT_OVERFL].trace=5;

	    /* counts at end */

	    sigfpe_[_UNDERFL].count=INT_MAX;
	    sigfpe_[_OVERFL].count =INT_MAX;
	    sigfpe_[_DIVZERO].count=INT_MAX;
	    sigfpe_[_INVALID].count=INT_MAX;
	    sigfpe_[_INT_OVERFL].count=INT_MAX;

	    /* abort after 100 */

	    sigfpe_[_UNDERFL].abort=100;
	    sigfpe_[_OVERFL].abort =100;
	    sigfpe_[_INVALID].abort=100;
	    sigfpe_[_INT_OVERFL].abort=100;

	    /* abort on first divide by zero */

	    sigfpe_[_DIVZERO].abort=1;

	    handle_sigfpes(_ON, _EN_UNDERFL| _EN_OVERFL|_EN_DIVZERO
	      | _EN_INVALID | _EN_INT_OVERFL, 0, _ABORT_ON_ERROR, 0);

	    /* do the real application work here */
	  }

									Page 6

SIGFPE(3C)							    SIGFPE(3C)

	  The example counts all traps, traces the first five
	  exceptions of each kind, aborts on the first divide
	  by zero, or the 100th overflow.  It replaces zero for
	  underflows, max float/double for overflows, max integer
	  for integer overflows, and the default values for
	  divide by zero, invalid operands, and integer overflows.
	  The environment variable example below does the same thing.

	  The last example shows how to enable different handlers
	  for  various exception types.

	       #include <limits.h> /* to get INT_MAX */
	       #include <sigfpe.h>

	       extern user_t		  my_invalid_handler;

	       main()
	       {
		 /* counts at end */

		 sigfpe_[_UNDERFL].count=INT_MAX;
		 sigfpe_[_OVERFL].count =INT_MAX;
		 sigfpe_[_DIVZERO].count=INT_MAX;
		 sigfpe_[_INVALID].count=INT_MAX;
		 sigfpe_[_INT_OVERFL].count=INT_MAX;

		 /* enable trapping on overflow, using libfpe's trap handler */

		 handle_sigfpes(_ON, _EN_OVERFL, 0, 0, 0);

		 /* enable trapping on invalid, using user's own trap handler */

		 handle_sigfpes(_ON, _EN_INVALID, my_invalid_handler, 0, 0);

		 /* do the real application work here */

		 ....

		 /* turn off trapping of overflows */

		 handle_sigfpes(_OFF, _EN_OVERFL, 0, 0, 0);

		 ....

		 /* turn off all handling of SIGFPE signals */

		 handle_sigfpes(_OFF, 0, 0, 0, 0);

		 ....

									Page 7

SIGFPE(3C)							    SIGFPE(3C)

THE ENVIRONMENT VARIABLE TRAP_FPE
     If the code has been linked with libfpe.so the runtime startup routine
     will check for the environment variable "TRAP_FPE".  The string read as
     the value of TRAP_FPE will be interpreted and handle_sigfpes will be
     called with the resulting values.

     TRAP_FPE is read in upper case letters only. The string assigned to
     TRAP_FPE may be in upper case or lower case.  TRAP_FPE can take one of
     two forms: either a global value, or a list of individual items.

     global values:

				Execute the program with no
				trap handling enabled.	Same as
				TRAP_FPE undefined.  Same as
				linking without libfpe.so
		    "" or OFF

			   ON	Same as TRAP_FPE="ALL=DEFAULT".
     Alternately, replacement values and actions may be specified for each of
     the possible trap types individually.  This is accomplished by setting
     the environment variable as follows:

     setenv TRAP_FPE "item;item;item...."

     an item can be one of the following:

				       Where traptype defines the
				       specific floating point
				       exception to enable, and
				       statuslist defines the
				       list of actions upon
				       encountering the trap.
		 traptype=statuslist

				       Confirm the parsing of the
				       environment variable, and
				       the trap actions.
			       DEBUG

     Traptype can be one of the following literal strings:

									Page 8

SIGFPE(3C)							    SIGFPE(3C)

			      UNDERFL	underflow
			       OVERFL	overflow
			      DIVZERO	divide by zero
			      INVALID	invalid operand
			   INT_OVERFL	integer overflow
				  ALL	all of the above
     Statuslist is a list separated by commas.	It contains an optional
     symbolic replacement value, and an optional list of actions.

     symbolic replacement values:

				   DEFAULT   Do not override the predefined default values.
IEEE	Maps to integer code _APPROPRIATE.
			       APPROPRIATE   Maps to integer code _APPROPRIATE.
				      ZERO   Maps to integer code _ZERO.
				FLUSH_ZERO   Maps to integer code _FLUSH_ZERO (R4000 and later processors).
				FLUSH_ZERO   Maps to integer code _ZERO (other processors).
				       MIN   Maps to integer code _MIN.
				       MAX   Maps to integer code _MAX.
				       INF   Maps to integer code _INF.
				       NAN   Maps to integer code _NAN.
     All actions take an optional integer in parentheses:

     Note: for any traps that have an action and no specified replacement
     value, the DEFAULT replacement value will be used.

				  A count of the trap type
				  will be printed to stderr
				  every nth trap, and at the
				  end of the program.
				  Default is INT_MAX.
		       COUNT(n)

				  Core dump and abort the
				  program upon encountering
				  the nth trap.	 Default is
				  1.
		       ABORT(n)

				  Exit program upon
				  encountering the nth trap.
				  Default is 1.
			EXIT(n)

				  If a trap is encountered,
				  Print a stack trace to
				  stderr up to n times.
				  Default is 10.
		       TRACE(n)

EXAMPLE OF TRAP_FPE
     setenv TRAP_FPE "ALL=COUNT; UNDERFL=ZERO; OVERFL=IEEE,TRACE(5),
     ABORT(100); DIVZERO=ABORT"

									Page 9

SIGFPE(3C)							    SIGFPE(3C)

     The example counts all traps, traces the first five overflows, aborts on
     the first divide by zero, or the 100th overflow. It Replaces zero for
     underflows, the "appropriate" value for overflows, and the default values
     for divide by zero, invalid operands, and integer overflows.

WHEN AN EXCEPTION IS ENCOUNTERED
     When an exception is encountered, the handler examines the instruction
     causing the exception, the state of the floating-point accelerator and
     the sigfpe structure to determine the correct action to take, and the
     program is continued.  In the cases of _UNDERFL, _OVERFL, _DIVZERO,
     _INT_OVERFL, and some instances of _INVALID, an appropriate value is
     substituted for the result of the operation, and the instruction which
     caused the exception is skipped.  For most exceptions arising due to an
     invalid operand (_INVALID exceptions), more meaningful behavior may be
     obtained by replacing an erroneous operand.  For these conditions, the
     operand is replaced, and the instruction re-issued.

     sigfpe: For each enabled exception, the sigfpe structure contains the
     fields: repls, count, trace, exit and abort. For each enabled exception
     <p>, and each non-zero entry <n> in the sigfpe structure, the trap
     handler will take the following actions:
     count: A count of all enabled traps will be printed to stderr at the end
     of execution of the program , and every at <n>th exception <p>.
     trace: A dbx stack trace will be printed to stderr every exception <p>,
     up to <n> times.  You must have dbx installed on your system to use this
     option.
     abort: Core dump and abort program upon encountering the <n>th exception
     <p>. The abort option takes precedence over the exit option.
     exit: Exit program upon encountering the <n>th  exception <p>.
     repls: Each of the exceptions _UNDERFL, _OVERFL, _DIVZERO, and
     _INT_OVERFL has an associated default value which is used as the result
     of the operation causing the exception.  These default values may be
     overridden by initializing this integer value.  This value is interpreted
     as an integer code used to select one of a set of replacement values, or
     to indicate that the routine user_routine is responsible for setting the
     value.  These integer codes are listed below:

								       Page 10

SIGFPE(3C)							    SIGFPE(3C)

			  _ZERO	  use zero as the replacement value

				  Set the flush_zero bit in the
				  Control Status register.  This
				  causes a flush to zero without
				  invoking the trap handler.  Works
				  only for underflow traps on the
				  R4000 and later processors.
				  Works like _ZERO for the R3000.
		    _FLUSH_ZERO

				  use the appropriately-typed
				  minimum value as the replacement.
				  (i.e., the smallest number which
				  is representable in that format
				  without denormalizing)
			   _MIN

				  use the appropriately-typed
				  maximum value as the replacement
			   _MAX

				  use the appropriately-typed value
				  for infinity as the replacement
			   _INF

				  use the appropriately-typed value
				  for not-a-number as the
				  replacement.	(A quiet not-a-
				  number is used.)
			   _NAN

				  use IEEE standard results as the
				  return result for _UNDERFL,
				  _OVERFL, _DIVZERO, and _INVALID
				  exceptions.
		   _APPROPRIATE

				  invoke the routine user_routine
				  (see note) to set the value of
				  the operation.  If this is the
				  code used for _INVALID
				  exceptions, all such exceptions
				  will defer to user_routine to set
				  their value.	In this case,
				  invalidop_results_ and
				  invalidop_operands_ will be
				  ignored.
	       _USER_DETERMINED

				  use the negative of the argument
				  as the replacement operand.  This
				  code is valid only for the cases
				  _SQRT_NEG_X and _RSQRT_NEG_X (see
				  below).
			   _NEG

     The default values used as the results of floating-point exceptions are:

								       Page 11

SIGFPE(3C)							    SIGFPE(3C)

	     ________________________________________________________
			     values for sigfpe_.repls
		   element
	       #   mnemonic	 exception condition   default value
	      _______________________________________________________
	       0   (none)	 (ignored)
	       1   _UNDERFL	 underflow	       _APPROPRIATE
	       2   _OVERFL	 overflow	       _APPROPRIATE
	       3   _DIVZERO	 divide-by-zero	       _APPROPRIATE
	       4   _INVALID	 invalid operand       (use tables)
	       5   _INT_OVERFL	 integer overflow      _MAX
	      _______________________________________________________
	      |

			       |

						     |

								     |

     The default values for _UNDERFL, _OVERFL, _DIVZERO, and _INVALID
     exceptions will produce the same results as if the instruction were re-
     issued with the original operand(s) and floating-point traps disabled.

     Valid values for sigfpe_[_INT_OVERFL].repls are:  _MAX, APPROPRIATE,
     _ZERO, and _USER_DETERMINED, the default being _MAX.

     For _INVALID exceptions, the correct action may be either to set the
     result and skip the instruction, or to replace an operand and retry the
     instruction. There are four cases in which the result is set.  The array
     named invalidop_results_ is consulted for replacement codes for these
     cases:

	   ____________________________________________________________
			       array invalidop_results_
		element			     exception
	    #	mnemonic		     condition	 default value
	   ____________________________________________________________
	    0	(none)			     (ignored)
	    1	_MAGNITUDE_INF_SUBTRACTION   oo - oo	 _NAN
	    2	_ZERO_TIMES_INF		     0 * oo	 _NAN
	    3	_ZERO_DIV_ZERO		     0/0	 _NAN
	    4	_INF_DIV_INF		     oo / oo	 _NAN
	   ____________________________________________________________
	   |

					   |

						       |

								       |

     There are ten cases in which an offending operand is replaced. An array
     named invalidop_operands_ is consulted for user-initialized codes for
     these cases.  Cases 8 through 11 are valid only for the mips3 and later
     architectures.  Array invalidop_operands_ has only 8 entries (0-7) for
     the earlier processors.  Each element governs the following cases:

								       Page 12

SIGFPE(3C)							    SIGFPE(3C)

      _______________________________________________________________________
			     array invalidop_operands_
	     element
       #    mnemonic	     exception condition	      default value
      _______________________________________________________________________
       0    (none)	     (ignored)
       1    _SQRT_NEG_X	     sqrt(-x)			      reissue
       2    (unused)	     (ignored)			      with original
			     conversion to integer caused
			     target to overflow
       3    _CVTW_OVERFL				      operands and

       4    _CVTW_NAN	     conversion of NaN to int	      floating point
       5    _CVTW_INF	     conversion of oo to int	      traps disabled
       6    _UNORDERED_CMP   comparison to NaN
			     operand was Signaling Nan
       7    _SNAN_OP
			     conversion to long long caused
			     target to overflow
       8    _CVTL_OVERFL

       9    _CVTL_NAN	     conversion of NaN to long long
       10   _CVTL_INF	     conversion of oo to long long
       11   _RSQRT_NEG_X     reciprocal sqrt(-x)
      _______________________________________________________________________
      |

			   |

							    |

									     |

NOTE
     Use of user_routine to set values
     If the integer code defining the replacement value for a particular
     exception condition is _USER_DETERMINED, the user-supplied routine
     user_routine is called:
		 (*user_routine)(exception_parameters, value);
     value is an array of two ints into which user_routine should store the
     replacement value.	 If an operand is being replaced, value has a copy of
     the current operand.

     exception_parameters is an array of five unsigned ints which describe the
     exception condition:

								       Page 13

SIGFPE(3C)							    SIGFPE(3C)

	  ______________________________________________________________
			    array exception_parameters
		 element
	   #   mnemonic		 description
	  ______________________________________________________________
	   0   _EXCEPTION_TYPE	 the exception type (_DIVZERO, etc).
				 value = _SET_RESULT if result is
				 being set.  value = _REPL_OPERAND
				 if an operand is being replaced.
				 This element is meaningful only if
				 the exception type is _INVALID.
	   1   _INVALID_ACTION

				 This element is meaningful only if
				 the exception type is _INVALID.  It
				 is the index corresponding to the
				 particular conditions giving rise
				 to the exception.  In conjunction
				 with element 1, this value uniquely
				 determines the exception condition.
				 (e.g., if _INVALID_ACTION is
				 _SET_RESULT and _INVALID_TYPE is 2,
				 the _INVALID exception is due to
				 _ZERO_TIMES_INF.)
	   2   _INVALID_TYPE

				 the type of the replacement value -
				 either _SINGLE, _DOUBLE, _WORD, or
				 _LONGWORD
	   3   _VALUE_TYPE

				 the suggested sign user_routine
				 should use for the replacement
				 value - either _POSITIVE or
				 _NEGATIVE.
	   4   _VALUE_SIGN

	  ______________________________________________________________
	  |

			       |

									|

NOTES FOR R8000
     Due to the nature of parallel operations on the R8000 processor, it is
     not possible to determine the true value of the program counter when a
     floating point exception occurs.  Therefore, on that processor, libfpe.so
     will not update either operands or results when floating point exceptions
     occur.  Another anomaly on this processor is that counts of floating
     point exceptions for a particular program may vary from run to run.

     When the R8000 processor executes in precise exception mode, libfpe
     behaves as it does on other processors, i.e. operands and results can be
     updated when floating point exceptions occur.  See fpmode(1).

SEE ALSO
     signal(3c), fsigfpe(3f), fpc(3c), get_fpc_csr(3c), set_fpc_csr(3c)

								       Page 14

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