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/* $OpenBSD: dfrem.c,v 1.5 2002/05/07 22:19:30 mickey Exp $ */
/*
(c) Copyright 1986 HEWLETT-PACKARD COMPANY
To anyone who acknowledges that this file is provided "AS IS"
without any express or implied warranty:
permission to use, copy, modify, and distribute this file
for any purpose is hereby granted without fee, provided that
the above copyright notice and this notice appears in all
copies, and that the name of Hewlett-Packard Company not be
used in advertising or publicity pertaining to distribution
of the software without specific, written prior permission.
Hewlett-Packard Company makes no representations about the
suitability of this software for any purpose.
*/
/* @(#)dfrem.c: Revision: 1.7.88.1 Date: 93/12/07 15:05:43 */
#include "float.h"
#include "dbl_float.h"
/*
* Double Precision Floating-point Remainder
*/
int
dbl_frem(srcptr1,srcptr2,dstptr,status)
dbl_floating_point *srcptr1, *srcptr2, *dstptr;
unsigned int *status;
{
register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2;
register unsigned int resultp1, resultp2;
register int opnd1_exponent, opnd2_exponent, dest_exponent, stepcount;
register int roundup = FALSE;
Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2);
Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2);
/*
* check first operand for NaN's or infinity
*/
if ((opnd1_exponent = Dbl_exponent(opnd1p1)) == DBL_INFINITY_EXPONENT) {
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
if (Dbl_isnotnan(opnd2p1,opnd2p2)) {
/* invalid since first operand is infinity */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
}
else {
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd1p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd1p1);
}
/*
* is second operand a signaling NaN?
*/
else if (Dbl_is_signalingnan(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled())
return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
}
/*
* check second operand for NaN's or infinity
*/
if ((opnd2_exponent = Dbl_exponent(opnd2p1)) == DBL_INFINITY_EXPONENT) {
if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
/*
* return first operand
*/
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
/*
* is NaN; signaling or quiet?
*/
if (Dbl_isone_signaling(opnd2p1)) {
/* trap if INVALIDTRAP enabled */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
/* make NaN quiet */
Set_invalidflag();
Dbl_set_quiet(opnd2p1);
}
/*
* return quiet NaN
*/
Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
return(NOEXCEPTION);
}
/*
* check second operand for zero
*/
if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
/* invalid since second operand is zero */
if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION);
Set_invalidflag();
Dbl_makequietnan(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* get sign of result
*/
resultp1 = opnd1p1;
/*
* check for denormalized operands
*/
if (opnd1_exponent == 0) {
/* check for zero */
if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
return(NOEXCEPTION);
}
/* normalize, then continue */
opnd1_exponent = 1;
Dbl_normalize(opnd1p1,opnd1p2,opnd1_exponent);
}
else {
Dbl_clear_signexponent_set_hidden(opnd1p1);
}
if (opnd2_exponent == 0) {
/* normalize, then continue */
opnd2_exponent = 1;
Dbl_normalize(opnd2p1,opnd2p2,opnd2_exponent);
}
else {
Dbl_clear_signexponent_set_hidden(opnd2p1);
}
/* find result exponent and divide step loop count */
dest_exponent = opnd2_exponent - 1;
stepcount = opnd1_exponent - opnd2_exponent;
/*
* check for opnd1/opnd2 < 1
*/
if (stepcount < 0) {
/*
* check for opnd1/opnd2 > 1/2
*
* In this case n will round to 1, so
* r = opnd1 - opnd2
*/
if (stepcount == -1 &&
Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
/* set sign */
Dbl_allp1(resultp1) = ~Dbl_allp1(resultp1);
/* align opnd2 with opnd1 */
Dbl_leftshiftby1(opnd2p1,opnd2p2);
Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,
opnd2p1,opnd2p2);
/* now normalize */
while (Dbl_iszero_hidden(opnd2p1)) {
Dbl_leftshiftby1(opnd2p1,opnd2p2);
dest_exponent--;
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd2p1,opnd2p2);
goto testforunderflow;
}
/*
* opnd1/opnd2 <= 1/2
*
* In this case n will round to zero, so
* r = opnd1
*/
Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
dest_exponent = opnd1_exponent;
goto testforunderflow;
}
/*
* Generate result
*
* Do iterative subtract until remainder is less than operand 2.
*/
while (stepcount-- > 0 && (Dbl_allp1(opnd1p1) || Dbl_allp2(opnd1p2))) {
if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
}
Dbl_leftshiftby1(opnd1p1,opnd1p2);
}
/*
* Do last subtract, then determine which way to round if remainder
* is exactly 1/2 of opnd2
*/
if (Dbl_isnotlessthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
Dbl_subtract(opnd1p1,opnd1p2,opnd2p1,opnd2p2,opnd1p1,opnd1p2);
roundup = TRUE;
}
if (stepcount > 0 || Dbl_iszero(opnd1p1,opnd1p2)) {
/* division is exact, remainder is zero */
Dbl_setzero_exponentmantissa(resultp1,resultp2);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
/*
* Check for cases where opnd1/opnd2 < n
*
* In this case the result's sign will be opposite that of
* opnd1. The mantissa also needs some correction.
*/
Dbl_leftshiftby1(opnd1p1,opnd1p2);
if (Dbl_isgreaterthan(opnd1p1,opnd1p2,opnd2p1,opnd2p2)) {
Dbl_invert_sign(resultp1);
Dbl_leftshiftby1(opnd2p1,opnd2p2);
Dbl_subtract(opnd2p1,opnd2p2,opnd1p1,opnd1p2,opnd1p1,opnd1p2);
}
/* check for remainder being exactly 1/2 of opnd2 */
else if (Dbl_isequal(opnd1p1,opnd1p2,opnd2p1,opnd2p2) && roundup) {
Dbl_invert_sign(resultp1);
}
/* normalize result's mantissa */
while (Dbl_iszero_hidden(opnd1p1)) {
dest_exponent--;
Dbl_leftshiftby1(opnd1p1,opnd1p2);
}
Dbl_set_exponentmantissa(resultp1,resultp2,opnd1p1,opnd1p2);
/*
* Test for underflow
*/
testforunderflow:
if (dest_exponent <= 0) {
/* trap if UNDERFLOWTRAP enabled */
if (Is_underflowtrap_enabled()) {
/*
* Adjust bias of result
*/
Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl);
/* frem is always exact */
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(UNDERFLOWEXCEPTION);
}
/*
* denormalize result or set to signed zero
*/
if (dest_exponent >= (1 - DBL_P)) {
Dbl_rightshift_exponentmantissa(resultp1,resultp2,
1-dest_exponent);
}
else {
Dbl_setzero_exponentmantissa(resultp1,resultp2);
}
}
else Dbl_set_exponent(resultp1,dest_exponent);
Dbl_copytoptr(resultp1,resultp2,dstptr);
return(NOEXCEPTION);
}
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