1 /*
2  * SPDX-License-Identifier: BSD-3-Clause
3  *
4  * Copyright © 2022 Keith Packard
5  *
6  * Redistribution and use in source and binary forms, with or without
7  * modification, are permitted provided that the following conditions
8  * are met:
9  *
10  * 1. Redistributions of source code must retain the above copyright
11  *    notice, this list of conditions and the following disclaimer.
12  *
13  * 2. Redistributions in binary form must reproduce the above
14  *    copyright notice, this list of conditions and the following
15  *    disclaimer in the documentation and/or other materials provided
16  *    with the distribution.
17  *
18  * 3. Neither the name of the copyright holder nor the names of its
19  *    contributors may be used to endorse or promote products derived
20  *    from this software without specific prior written permission.
21  *
22  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
23  * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
24  * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
25  * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
26  * COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
27  * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
28  * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
29  * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
30  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
31  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
32  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
33  * OF THE POSSIBILITY OF SUCH DAMAGE.
34  */
35 
36 long double
nearbyintl(long double x)37 nearbyintl(long double x)
38 {
39     union IEEEl2bits u;
40     double dh, dl, frac;
41 
42     u.e = x;
43     if (u.bits.exp == LDBL_INF_NAN_EXP)
44         return x + x;
45     dh = nearbyint(u.dbits.dh);
46     frac = u.dbits.dh - dh;
47     if (frac != 0.0) {
48         /* Adjust rounding when upper fraction is 0.5 */
49         if (u.dbits.dl > 0 && frac == 0.5)
50             dh += 1.0;
51         else if(u.dbits.dl < 0 && frac == -0.5)
52             dh -= 1.0;
53         dl = 0;
54     } else
55         dl = nearbyint(u.dbits.dl);
56     return (long double) dh + (long double) dl;
57 }
58 
59 long double
rintl(long double x)60 rintl(long double x)
61 {
62     long double y = nearbyintl(x);
63     if (x != y)
64         return __math_inexactl(y);
65     return y;
66 }
67