1 /* IEEE754 floating point arithmetic
2 * double precision: common utilities
5 * MIPS floating point support
6 * Copyright (C) 1994-2000 Algorithmics Ltd.
7 * http://www.algor.co.uk
9 * ########################################################################
11 * This program is free software; you can distribute it and/or modify it
12 * under the terms of the GNU General Public License (Version 2) as
13 * published by the Free Software Foundation.
15 * This program is distributed in the hope it will be useful, but WITHOUT
16 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
17 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
20 * You should have received a copy of the GNU General Public License along
21 * with this program; if not, write to the Free Software Foundation, Inc.,
22 * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA.
24 * ########################################################################
28 #include "ieee754dp.h"
30 ieee754dp
ieee754dp_sub(ieee754dp x
, ieee754dp y
)
43 switch (CLPAIR(xc
, yc
)) {
44 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_QNAN
):
45 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_SNAN
):
46 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_SNAN
):
47 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_SNAN
):
48 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_SNAN
):
49 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_SNAN
):
50 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_SNAN
):
51 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_ZERO
):
52 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_NORM
):
53 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_DNORM
):
54 case CLPAIR(IEEE754_CLASS_SNAN
, IEEE754_CLASS_INF
):
55 SETCX(IEEE754_INVALID_OPERATION
);
56 return ieee754dp_nanxcpt(ieee754dp_indef(), "sub", x
, y
);
58 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_QNAN
):
59 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_QNAN
):
60 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_QNAN
):
61 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_QNAN
):
64 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_QNAN
):
65 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_ZERO
):
66 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_NORM
):
67 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_DNORM
):
68 case CLPAIR(IEEE754_CLASS_QNAN
, IEEE754_CLASS_INF
):
75 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_INF
):
78 SETCX(IEEE754_INVALID_OPERATION
);
79 return ieee754dp_xcpt(ieee754dp_indef(), "sub", x
, y
);
81 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_INF
):
82 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_INF
):
83 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_INF
):
84 return ieee754dp_inf(ys
^ 1);
86 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_ZERO
):
87 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_NORM
):
88 case CLPAIR(IEEE754_CLASS_INF
, IEEE754_CLASS_DNORM
):
94 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_ZERO
):
98 return ieee754dp_zero(ieee754_csr
.rm
==
101 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_ZERO
):
102 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_ZERO
):
105 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_NORM
):
106 case CLPAIR(IEEE754_CLASS_ZERO
, IEEE754_CLASS_DNORM
):
111 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_DNORM
):
115 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_DNORM
):
116 /* normalize ym,ye */
120 case CLPAIR(IEEE754_CLASS_DNORM
, IEEE754_CLASS_NORM
):
121 /* normalize xm,xe */
125 case CLPAIR(IEEE754_CLASS_NORM
, IEEE754_CLASS_NORM
):
128 /* flip sign of y and handle as add */
131 assert(xm
& DP_HIDDEN_BIT
);
132 assert(ym
& DP_HIDDEN_BIT
);
135 /* provide guard,round and stick bit dpace */
140 /* have to shift y fraction right to align
145 } else if (ye
> xe
) {
146 /* have to shift x fraction right to align
153 assert(xe
<= DP_EMAX
);
156 /* generate 28 bit result of adding two 27 bit numbers
162 if (xm
>> (DP_MBITS
+ 1 + 3)) { /* carry out */
163 xm
= XDPSRS1(xm
); /* shift preserving sticky */
177 if (ieee754_csr
.rm
== IEEE754_RD
)
178 return ieee754dp_zero(1); /* round negative inf. => sign = -1 */
180 return ieee754dp_zero(0); /* other round modes => sign = 1 */
183 /* normalize to rounding precision
185 while ((xm
>> (DP_MBITS
+ 3)) == 0) {
190 DPNORMRET2(xs
, xe
, xm
, "sub", x
, y
);