930 lines
22 KiB
C
930 lines
22 KiB
C
/***
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*fpexcept.c - floating point exception handling
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*
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* Copyright (c) 1991-2001, Microsoft Corporation. All rights reserved.
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*
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*Purpose:
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*
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*Revision History:
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* 08-24-91 GDP written
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* 09-26-91 GDP changed DOMAIN error handling
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* 10-10-91 GDP use fp addition for propagating NaNs
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* 01-14-92 GDP IEEE exception support
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* 03-20-92 GDP major changes, reorganized code
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* 03-31-92 GDP new interface, use internal fp control functions
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* 07-16-93 SRW ALPHA Merge
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* 11-18-93 GJF Merged in NT SDK version. Cleaned up preprocessing
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* conditional: replaced #if _NTSUBSET_ with #ifdef
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* _NTSUBSET_, i386 with _M_IX86, MIPS with _M_MRX000,
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* _ALPHA_ with _M_ALPHA.
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* 09-01-94 SKS Change include file from <nt.h> to <windows.h>
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* 09-05-94 SKS Change another #ifdef i386 to #ifdef _M_IX86
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* 10-02-94 BWT PPC merge and change NTSUBSET includes to use nt.h
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* 02-19-95 BWT Define _KERNEL32_ before including windows.h for _NTSUBSET_
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* build (otherwise declspec(dllimport) will be on for
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* RaiseException)
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* 03-29-95 BWT Add casts to fix warnings.
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* 05-10-96 BWT POSIX fix
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* 06-21-00 GB Add OP_LOGB in _get_fname.
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*
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*******************************************************************************/
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#if defined(_NTSUBSET_) || defined (_POSIX_)
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#include <nt.h>
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#include <ntrtl.h>
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#include <nturtl.h>
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#define _KERNEL32_ // Don't Export RaiseException
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#endif // _NTSUBSET_
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#include <trans.h>
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#include <errno.h>
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#include <math.h>
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#include <windows.h>
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#ifdef _NTSUBSET_
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VOID
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WINAPI
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RaiseException(
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DWORD dwExceptionCode,
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DWORD dwExceptionFlags,
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DWORD nNumberOfArguments,
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CONST DWORD_PTR *lpArguments
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)
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{
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EXCEPTION_RECORD ExceptionRecord;
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ULONG n;
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PULONG_PTR s,d;
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ExceptionRecord.ExceptionCode = (DWORD)dwExceptionCode;
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ExceptionRecord.ExceptionFlags = dwExceptionFlags & EXCEPTION_NONCONTINUABLE;
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ExceptionRecord.ExceptionRecord = NULL;
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ExceptionRecord.ExceptionAddress = (PVOID)RaiseException;
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if ( ARGUMENT_PRESENT(lpArguments) ) {
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n = nNumberOfArguments;
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if ( n > EXCEPTION_MAXIMUM_PARAMETERS ) {
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n = EXCEPTION_MAXIMUM_PARAMETERS;
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}
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ExceptionRecord.NumberParameters = n;
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s = (PULONG_PTR)lpArguments;
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d = ExceptionRecord.ExceptionInformation;
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while(n--){
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*d++ = *s++;
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}
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}
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else {
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ExceptionRecord.NumberParameters = 0;
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}
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RtlRaiseException(&ExceptionRecord);
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}
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#endif // _NTSUBSET_
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//
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// copy a double without generating floating point instructions
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// (avoid invalid operation on x87)
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//
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#define COPY_DOUBLE(pdest, psrc) \
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( *(unsigned int *)pdest = *(unsigned int *)psrc, \
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*((unsigned int *)pdest+1) = *((unsigned int *)psrc+1) )
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//
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// _matherr_flag is a communal variable. It is equal to zero
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// if the user has redefined matherr(). Otherwise it has a
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// non zero value. The default matherr routine does nothing
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// and returns 0.
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//
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int _matherr_flag;
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//
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// a routine for artificially setting the fp status bits in order
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// to signal a software generated masked fp exception.
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//
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extern void _set_statfp(uintptr_t);
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void _raise_exc(_FPIEEE_RECORD *prec,uintptr_t *pcw,
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int flags, int opcode, double *parg1, double *presult);
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double _umatherr(int type, unsigned int opcode,
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double arg1, double arg2, double presult,
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uintptr_t cw);
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static char *_get_fname(unsigned int opcode);
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/***
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* _handle_qnan1, _handle_qnan2 - handle quiet NaNs as function arguments
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*
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*Purpose:
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* Do all necessary work for handling the case where the argument
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* or one of the arguments of a floating point function is a quiet NaN
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*
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*Entry:
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* unsigned int opcode: The operation code of the fp function
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* double x: the fp function argument
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* double y: the fp function second argument (_handle_qnan2 only)
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* uintptr_t savedcw: the user's control word
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*
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*Exit:
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* restore the user's control word, and
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* return the suggested return value for the fp function
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*
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*Exceptions:
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*
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*******************************************************************************/
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double _handle_qnan1(unsigned int opcode,
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double x,
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uintptr_t savedcw)
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{
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if (! _matherr_flag) {
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//
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// QNaN arguments are treated as domain errors
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// invoke the user's matherr routine
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// _umatherr will take care of restoring the
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// user's control word
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//
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return _umatherr(_DOMAIN,opcode,x,0.0,x,savedcw);
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}
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else {
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errno = EDOM;
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_rstorfp(savedcw);
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return x;
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}
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}
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double _handle_qnan2(unsigned int opcode,
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double x,
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double y,
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uintptr_t savedcw)
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{
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double result;
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//
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// NaN propagation should be handled by the underlying fp h/w
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//
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result = x+y;
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if (! _matherr_flag) {
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return _umatherr(_DOMAIN,opcode,x,y,result,savedcw);
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}
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else {
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errno = EDOM;
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_rstorfp(savedcw);
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return result;
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}
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}
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/***
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* _except1 - exception handling shell for fp functions with one argument
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*
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*Purpose:
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*
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*Entry:
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* int flags: the exception flags
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* int opcode: the operation code of the fp function that faulted
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* double arg: the argument of the fp function
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* double result: default result
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* uintptr_t cw: user's fp control word
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*
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*Exit:
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* restore user's fp control word
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* and return the (possibly modified) result of the fp function
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*
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*Exceptions:
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*
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*******************************************************************************/
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double _except1(int flags,
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int opcode,
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double arg,
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double result,
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uintptr_t cw)
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{
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int type;
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if (_handle_exc(flags, &result, cw) == 0) {
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//
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// At this point _handle_exception has failed to deal
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// with the error
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// An IEEE exception should be raised
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//
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_FPIEEE_RECORD rec;
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// The rec structure will be filled in by _raise_exc,
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// except for the Operand2 information
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rec.Operand2.OperandValid = 0;
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_raise_exc(&rec, &cw, flags, opcode, &arg, &result);
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}
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//
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// At this point we have either the masked response of the
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// exception, or a value supplied by the user's IEEE exception
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// handler. The _matherr mechanism is supported for backward
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// compatibility.
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//
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type = _errcode(flags);
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// Inexact result fp exception does not have a matherr counterpart;
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// in that case type is 0.
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if (! _matherr_flag && type) {
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return _umatherr(type, opcode, arg, 0.0, result, cw);
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}
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else {
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_set_errno(type);
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}
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RETURN(cw,result);
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}
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/***
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* _except2 - exception handling shell for fp functions with two arguments
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*
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*Purpose:
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*
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*Entry:
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* int flags: the exception flags
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* int opcode: the operation code of the fp function that faulted
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* double arg1: the first argument of the fp function
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* double arg2: the second argument of the fp function
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* double result: default result
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* unsigned int cw: user's fp control word
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*
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*Exit:
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* restore user's fp control word
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* and return the (possibly modified) result of the fp function
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*
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*Exceptions:
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*
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*******************************************************************************/
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double _except2(int flags,
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int opcode,
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double arg1,
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double arg2,
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double result,
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uintptr_t cw)
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{
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int type;
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if (_handle_exc(flags, &result, cw) == 0) {
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//
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// trap should be taken
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//
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_FPIEEE_RECORD rec;
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//
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// fill in operand2 info. The rest of rec will be
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// filled in by _raise_exc
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//
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rec.Operand2.OperandValid = 1;
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rec.Operand2.Format = _FpFormatFp64;
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rec.Operand2.Value.Fp64Value = arg2;
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_raise_exc(&rec, &cw, flags, opcode, &arg1, &result);
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}
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type = _errcode(flags);
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if (! _matherr_flag && type) {
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return _umatherr(type, opcode, arg1, arg2, result, cw);
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}
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else {
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_set_errno(type);
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}
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RETURN(cw,result);
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}
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/***
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* _raise_exc - raise fp IEEE exception
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*
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*Purpose:
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* fill in an fp IEEE record struct and raise a fp exception
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*
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*
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*Entry / Exit:
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* IN _FPIEEE_RECORD prec pointer to an IEEE record
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* IN OUT unsigned int *pcw pointer to user's fp control word
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* IN int flags, exception flags
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* IN int opcode, fp operation code
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* IN double *parg1, pointer to first argument
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* IN double *presult) pointer to result
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*
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*Exceptions:
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*
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*******************************************************************************/
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void _raise_exc( _FPIEEE_RECORD *prec,
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uintptr_t *pcw,
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int flags,
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int opcode,
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double *parg1,
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double *presult)
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{
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DWORD exc_code;
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uintptr_t sw;
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//
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// reset all control bits
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//
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*(int *)&(prec->Cause) = 0;
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*(int *)&(prec->Enable) = 0;
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*(int *)&(prec->Status) = 0;
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//
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// Precision exception may only coincide with overflow
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// or underflow. If this is the case, overflow (or
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// underflow) take priority over precision exception.
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// The order of checks is from the least important
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// to the most important exception
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//
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if (flags & FP_P) {
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exc_code = (DWORD) STATUS_FLOAT_INEXACT_RESULT;
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prec->Cause.Inexact = 1;
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}
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if (flags & FP_U) {
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exc_code = (DWORD) STATUS_FLOAT_UNDERFLOW;
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prec->Cause.Underflow = 1;
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}
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if (flags & FP_O) {
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exc_code = (DWORD) STATUS_FLOAT_OVERFLOW;
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prec->Cause.Overflow = 1;
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}
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if (flags & FP_Z) {
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exc_code = (DWORD) STATUS_FLOAT_DIVIDE_BY_ZERO;
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prec->Cause.ZeroDivide = 1;
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}
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if (flags & FP_I) {
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exc_code = (DWORD) STATUS_FLOAT_INVALID_OPERATION;
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prec->Cause.InvalidOperation = 1;
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}
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//
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// Set exception enable bits
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//
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prec->Enable.InvalidOperation = (*pcw & IEM_INVALID) ? 0 : 1;
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prec->Enable.ZeroDivide = (*pcw & IEM_ZERODIVIDE) ? 0 : 1;
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prec->Enable.Overflow = (*pcw & IEM_OVERFLOW) ? 0 : 1;
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prec->Enable.Underflow = (*pcw & IEM_UNDERFLOW) ? 0 : 1;
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prec->Enable.Inexact = (*pcw & IEM_INEXACT) ? 0 : 1;
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//
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// Set status bits
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//
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sw = _statfp();
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if (sw & ISW_INVALID) {
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prec->Status.InvalidOperation = 1;
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}
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if (sw & ISW_ZERODIVIDE) {
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prec->Status.ZeroDivide = 1;
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}
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if (sw & ISW_OVERFLOW) {
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prec->Status.Overflow = 1;
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}
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if (sw & ISW_UNDERFLOW) {
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prec->Status.Underflow = 1;
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}
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if (sw & ISW_INEXACT) {
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prec->Status.Inexact = 1;
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}
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switch (*pcw & IMCW_RC) {
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case IRC_CHOP:
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prec->RoundingMode = _FpRoundChopped;
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break;
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case IRC_UP:
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prec->RoundingMode = _FpRoundPlusInfinity;
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break;
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case IRC_DOWN:
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prec->RoundingMode = _FpRoundMinusInfinity;
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break;
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case IRC_NEAR:
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prec->RoundingMode = _FpRoundNearest;
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break;
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}
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#ifdef _M_IX86
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switch (*pcw & IMCW_PC) {
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case IPC_64:
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prec->Precision = _FpPrecisionFull;
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break;
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case IPC_53:
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prec->Precision = _FpPrecision53;
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break;
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case IPC_24:
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prec->Precision = _FpPrecision24;
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break;
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}
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#endif
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#if defined(_M_MRX000) || defined(_M_ALPHA) || defined(_M_PPC)
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prec->Precision = _FpPrecision53;
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#endif
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prec->Operation = opcode;
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prec->Operand1.OperandValid = 1;
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prec->Operand1.Format = _FpFormatFp64;
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prec->Operand1.Value.Fp64Value = *parg1;
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prec->Result.OperandValid = 1;
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prec->Result.Format = _FpFormatFp64;
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prec->Result.Value.Fp64Value = *presult;
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//
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// By convention software exceptions use the first exception
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// parameter in order to pass a pointer to the _FPIEEE_RECORD
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// structure.
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//
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_clrfp();
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RaiseException(exc_code,0,1,(uintptr_t *)&prec);
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//
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// user's trap handler may have changed either the fp environment
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// or the result
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//
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//
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// Update exception mask
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//
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if (prec->Enable.InvalidOperation)
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(*pcw) &= ~IEM_INVALID;
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if (prec->Enable.ZeroDivide)
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(*pcw) &= ~IEM_ZERODIVIDE;
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if (prec->Enable.Overflow)
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(*pcw) &= ~IEM_OVERFLOW;
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if (prec->Enable.Underflow)
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(*pcw) &= ~IEM_UNDERFLOW;
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if (prec->Enable.Inexact)
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(*pcw) &= ~IEM_INEXACT;
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//
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// Update Rounding mode
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//
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switch (prec->RoundingMode) {
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case _FpRoundChopped:
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*pcw = *pcw & ~IMCW_RC | IRC_CHOP;
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break;
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case _FpRoundPlusInfinity:
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*pcw = *pcw & ~IMCW_RC | IRC_UP;
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break;
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case _FpRoundMinusInfinity:
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*pcw = *pcw & ~IMCW_RC | IRC_DOWN;
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break;
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case _FpRoundNearest:
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*pcw = *pcw & ~IMCW_RC | IRC_NEAR;
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break;
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}
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#ifdef _M_IX86
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//
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// Update Precision Control
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//
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switch (prec->Precision) {
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case _FpPrecisionFull:
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*pcw = *pcw & ~IMCW_RC | IPC_64;
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break;
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case _FpPrecision53:
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*pcw = *pcw & ~IMCW_RC | IPC_53;
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break;
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case _FpPrecision24:
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*pcw = *pcw & ~IMCW_RC | IPC_24;
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break;
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}
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#endif
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//
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// Update result
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//
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*presult = prec->Result.Value.Fp64Value;
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}
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/***
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* _handle_exc - produce masked response for IEEE fp exception
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*
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*Purpose:
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*
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*Entry:
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* unsigned int flags the exception flags
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* double *presult the default result
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* unsigned int cw user's fp control word
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*
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*Exit:
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* returns 1 on successful handling, 0 on failure
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* On success, *presult becomes the masked response
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*
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*Exceptions:
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*
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*******************************************************************************/
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int _handle_exc(unsigned int flags, double * presult, uintptr_t cw)
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{
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//
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// flags_p is useful for deciding whether there are still unhandled
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// exceptions in case multiple exceptions have occurred
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//
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int flags_p = flags & (FP_I | FP_Z | FP_O | FP_U | FP_P);
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if (flags & FP_I && cw & IEM_INVALID) {
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//
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// Masked response for invalid operation
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//
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_set_statfp(ISW_INVALID);
|
|
flags_p &= ~FP_I;
|
|
}
|
|
|
|
else if (flags & FP_Z && cw & IEM_ZERODIVIDE) {
|
|
|
|
//
|
|
// Masked response for Division by zero
|
|
// result should already have the proper value
|
|
//
|
|
|
|
_set_statfp( ISW_ZERODIVIDE);
|
|
flags_p &= ~FP_Z;
|
|
}
|
|
|
|
else if (flags & FP_O && cw & IEM_OVERFLOW) {
|
|
|
|
//
|
|
// Masked response for Overflow
|
|
//
|
|
|
|
_set_statfp(ISW_OVERFLOW);
|
|
switch (cw & IMCW_RC) {
|
|
case IRC_NEAR:
|
|
*presult = *presult > 0.0 ? D_INF : -D_INF;
|
|
break;
|
|
case IRC_UP:
|
|
*presult = *presult > 0.0 ? D_INF : -D_MAX;
|
|
break;
|
|
case IRC_DOWN:
|
|
*presult = *presult > 0.0 ? D_MAX : -D_INF;
|
|
break;
|
|
case IRC_CHOP:
|
|
*presult = *presult > 0.0 ? D_MAX : -D_MAX;
|
|
break;
|
|
}
|
|
|
|
flags_p &= ~FP_O;
|
|
}
|
|
|
|
else if (flags & FP_U && cw & IEM_UNDERFLOW) {
|
|
|
|
//
|
|
// Masked response for Underflow:
|
|
// According to the IEEE standard, when the underflow trap is not
|
|
// enabled, underflow shall be signaled only when both tininess
|
|
// and loss of accuracy have been detected
|
|
//
|
|
|
|
int aloss=0; // loss of accuracy flag
|
|
|
|
if (flags & FP_P) {
|
|
aloss = 1;
|
|
}
|
|
|
|
//
|
|
// a zero value in the result denotes
|
|
// that even after ieee scaling, the exponent
|
|
// was too small.
|
|
// in this case the masked response is also
|
|
// zero (sign is preserved)
|
|
//
|
|
|
|
if (*presult != 0.0) {
|
|
double result;
|
|
int expn, newexp;
|
|
|
|
result = _decomp(*presult, &expn);
|
|
newexp = expn - IEEE_ADJUST;
|
|
|
|
if (newexp < MINEXP - 53) {
|
|
result *= 0.0; // produce a signed zero
|
|
aloss = 1;
|
|
}
|
|
else {
|
|
int neg = result < 0; // save sign
|
|
|
|
//
|
|
// denormalize result
|
|
//
|
|
|
|
(*D_EXP(result)) &= 0x000f; /* clear exponent field */
|
|
(*D_EXP(result)) |= 0x0010; /* set hidden bit */
|
|
|
|
for (;newexp<MINEXP;newexp++) {
|
|
if (*D_LO(result) & 0x1 && !aloss) {
|
|
aloss = 1;
|
|
}
|
|
|
|
/* shift mantissa to the right */
|
|
(*D_LO(result)) >>= 1;
|
|
if (*D_HI(result) & 0x1) {
|
|
(*D_LO(result)) |= 0x80000000;
|
|
}
|
|
(*D_HI(result)) >>= 1;
|
|
}
|
|
if (neg) {
|
|
result = -result; // restore sign
|
|
}
|
|
}
|
|
|
|
*presult = result;
|
|
}
|
|
else {
|
|
aloss = 1;
|
|
}
|
|
|
|
if (aloss) {
|
|
_set_statfp(ISW_UNDERFLOW);
|
|
}
|
|
|
|
flags_p &= ~FP_U;
|
|
}
|
|
|
|
|
|
//
|
|
// Separate check for precision exception
|
|
// (may coexist with overflow or underflow)
|
|
//
|
|
|
|
if (flags & FP_P && cw & IEM_INEXACT) {
|
|
|
|
//
|
|
// Masked response for inexact result
|
|
//
|
|
|
|
_set_statfp(ISW_INEXACT);
|
|
flags_p &= ~FP_P;
|
|
}
|
|
|
|
return flags_p ? 0: 1;
|
|
}
|
|
|
|
|
|
|
|
/***
|
|
* _umatherr - call user's matherr routine
|
|
*
|
|
*Purpose:
|
|
* call user's matherr routine and set errno if appropriate
|
|
*
|
|
*
|
|
*Entry:
|
|
* int type type of excpetion
|
|
* unsigned int opcode fp function that caused the exception
|
|
* double arg1 first argument of the fp function
|
|
* double arg2 second argument of the fp function
|
|
* double retval return value of the fp function
|
|
* unsigned int cw user's fp control word
|
|
*
|
|
*Exit:
|
|
* fp control word becomes the user's fp cw
|
|
* errno modified if user's matherr returns 0
|
|
* return value the retval entered by the user in
|
|
* the _exception matherr struct
|
|
*
|
|
*Exceptions:
|
|
*
|
|
*******************************************************************************/
|
|
|
|
double _umatherr(
|
|
int type,
|
|
unsigned int opcode,
|
|
double arg1,
|
|
double arg2,
|
|
double retval,
|
|
uintptr_t cw
|
|
)
|
|
{
|
|
struct _exception exc;
|
|
|
|
//
|
|
// call matherr only if the name of the function
|
|
// is registered in the table, i.e., only if exc.name is valid
|
|
//
|
|
|
|
if (exc.name = _get_fname(opcode)) {
|
|
exc.type = type;
|
|
|
|
COPY_DOUBLE(&exc.arg1,&arg1);
|
|
COPY_DOUBLE(&exc.arg2,&arg2);
|
|
COPY_DOUBLE(&exc.retval,&retval);
|
|
|
|
_rstorfp(cw);
|
|
|
|
if (_matherr(&exc) == 0) {
|
|
_set_errno(type);
|
|
}
|
|
return exc.retval;
|
|
}
|
|
else {
|
|
|
|
//
|
|
// treat this case as if matherr returned 0
|
|
//
|
|
|
|
_rstorfp(cw);
|
|
_set_errno(type);
|
|
return retval;
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/***
|
|
* _set_errno - set errno
|
|
*
|
|
*Purpose:
|
|
* set correct error value for errno
|
|
*
|
|
*Entry:
|
|
* int matherrtype: the type of math error
|
|
*
|
|
*Exit:
|
|
* modifies errno
|
|
*
|
|
*Exceptions:
|
|
*
|
|
*******************************************************************************/
|
|
|
|
void _set_errno(int matherrtype)
|
|
{
|
|
switch(matherrtype) {
|
|
case _DOMAIN:
|
|
errno = EDOM;
|
|
break;
|
|
case _OVERFLOW:
|
|
case _SING:
|
|
errno = ERANGE;
|
|
break;
|
|
}
|
|
}
|
|
|
|
|
|
|
|
/***
|
|
* _get_fname - get function name
|
|
*
|
|
*Purpose:
|
|
* returns the _matherr function name that corresponds to a
|
|
* floating point opcode
|
|
*
|
|
*Entry:
|
|
* _FP_OPERATION_CODE opcode
|
|
*
|
|
*Exit:
|
|
* returns a pointer to a string
|
|
*
|
|
*Exceptions:
|
|
*
|
|
*******************************************************************************/
|
|
#define OP_NUM 29 /* number of fp operations */
|
|
|
|
static char *_get_fname(unsigned int opcode)
|
|
{
|
|
|
|
static struct {
|
|
unsigned int opcode;
|
|
char *name;
|
|
} _names[OP_NUM] = {
|
|
{ OP_EXP, "exp" },
|
|
{ OP_POW, "pow" },
|
|
{ OP_LOG, "log" },
|
|
{ OP_LOG10, "log10"},
|
|
{ OP_SINH, "sinh"},
|
|
{ OP_COSH, "cosh"},
|
|
{ OP_TANH, "tanh"},
|
|
{ OP_ASIN, "asin"},
|
|
{ OP_ACOS, "acos"},
|
|
{ OP_ATAN, "atan"},
|
|
{ OP_ATAN2, "atan2"},
|
|
{ OP_SQRT, "sqrt"},
|
|
{ OP_SIN, "sin"},
|
|
{ OP_COS, "cos"},
|
|
{ OP_TAN, "tan"},
|
|
{ OP_CEIL, "ceil"},
|
|
{ OP_FLOOR, "floor"},
|
|
{ OP_ABS, "fabs"},
|
|
{ OP_MODF, "modf"},
|
|
{ OP_LDEXP, "ldexp"},
|
|
{ OP_CABS, "_cabs"},
|
|
{ OP_HYPOT, "_hypot"},
|
|
{ OP_FMOD, "fmod"},
|
|
{ OP_FREXP, "frexp"},
|
|
{ OP_Y0, "_y0"},
|
|
{ OP_Y1, "_y1"},
|
|
{ OP_YN, "_yn"},
|
|
{ OP_LOGB, "_logb"},
|
|
{ OP_NEXTAFTER, "_nextafter"}
|
|
};
|
|
|
|
int i;
|
|
for (i=0;i<OP_NUM;i++) {
|
|
if (_names[i].opcode == opcode)
|
|
return _names[i].name;
|
|
}
|
|
return (char *)0;
|
|
}
|
|
|
|
|
|
|
|
/***
|
|
* _errcode - get _matherr error code
|
|
*
|
|
*Purpose:
|
|
* returns matherr type that corresponds to exception flags
|
|
*
|
|
*Entry:
|
|
* flags: exception flags
|
|
*
|
|
*Exit:
|
|
* returns matherr type
|
|
*
|
|
*Exceptions:
|
|
*
|
|
*******************************************************************************/
|
|
|
|
int _errcode(unsigned int flags)
|
|
{
|
|
unsigned int errcode;
|
|
|
|
if (flags & FP_TLOSS) {
|
|
errcode = _TLOSS;
|
|
}
|
|
else if (flags & FP_I) {
|
|
errcode = _DOMAIN;
|
|
}
|
|
else if (flags & FP_Z) {
|
|
errcode = _SING;
|
|
}
|
|
else if (flags & FP_O) {
|
|
errcode = _OVERFLOW;
|
|
}
|
|
else if (flags & FP_U) {
|
|
errcode = _UNDERFLOW;
|
|
}
|
|
else {
|
|
|
|
// FP_P
|
|
|
|
errcode = 0;
|
|
}
|
|
return errcode;
|
|
}
|