1 /*
2 * Copyright (c) 2015, 2018, Oracle and/or its affiliates. All rights reserved.
3 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
4 *
5 * This code is free software; you can redistribute it and/or modify it
6 * under the terms of the GNU General Public License version 2 only, as
7 * published by the Free Software Foundation.
8 *
9 * This code is distributed in the hope that it will be useful, but WITHOUT
10 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
11 * FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
12 * version 2 for more details (a copy is included in the LICENSE file that
13 * accompanied this code).
14 *
15 * You should have received a copy of the GNU General Public License version
16 * 2 along with this work; if not, write to the Free Software Foundation,
17 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
18 *
19 * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
20 * or visit www.oracle.com if you need additional information or have any
21 * questions.
22 *
23 */
24 
25 #include "precompiled.hpp"
26 #include "runtime/sharedRuntime.hpp"
27 
28 #ifdef _WIN64
29 // These are copied defines from fdlibm.h, this allows us to keep the code
30 // the same as in the JDK, for easier maintenance.
31 
32 #define __HI(x) *(1+(int*)&x)
33 #define __LO(x) *(int*)&x
34 
35 // This code is a copy of __ieee754_fmod() from the JDK's libfdlibm and is
36 // used as a workaround for issues with the Windows x64 CRT implementation
37 // of fmod. Microsoft has acknowledged that this is an issue in Visual Studio
38 // 2012 and forward, but has not provided a time frame for a fix other than that
39 // it'll not be fixed in Visual Studio 2013 or 2015.
40 
41 static const double one = 1.0, Zero[] = { 0.0, -0.0, };
42 
fmod_winx64(double x,double y)43 double SharedRuntime::fmod_winx64(double x, double y)
44 {
45   int n, hx, hy, hz, ix, iy, sx, i;
46   unsigned lx, ly, lz;
47 
48   hx = __HI(x);           /* high word of x */
49   lx = __LO(x);           /* low  word of x */
50   hy = __HI(y);           /* high word of y */
51   ly = __LO(y);           /* low  word of y */
52   sx = hx & 0x80000000;             /* sign of x */
53   hx ^= sx;                /* |x| */
54   hy &= 0x7fffffff;       /* |y| */
55 
56 #pragma warning( disable : 4146 )
57   /* purge off exception values */
58   if ((hy | ly) == 0 || (hx >= 0x7ff00000) ||       /* y=0,or x not finite */
59     ((hy | ((ly | -ly) >> 31))>0x7ff00000))     /* or y is NaN */
60 #pragma warning( default : 4146 )
61     return (x*y) / (x*y);
62   if (hx <= hy) {
63     if ((hx<hy) || (lx<ly)) return x;      /* |x|<|y| return x */
64     if (lx == ly)
65       return Zero[(unsigned)sx >> 31];  /* |x|=|y| return x*0*/
66   }
67 
68   /* determine ix = ilogb(x) */
69   if (hx<0x00100000) {     /* subnormal x */
70     if (hx == 0) {
71       for (ix = -1043, i = lx; i>0; i <<= 1) ix -= 1;
72     }
73     else {
74       for (ix = -1022, i = (hx << 11); i>0; i <<= 1) ix -= 1;
75     }
76   }
77   else ix = (hx >> 20) - 1023;
78 
79   /* determine iy = ilogb(y) */
80   if (hy<0x00100000) {     /* subnormal y */
81     if (hy == 0) {
82       for (iy = -1043, i = ly; i>0; i <<= 1) iy -= 1;
83     }
84     else {
85       for (iy = -1022, i = (hy << 11); i>0; i <<= 1) iy -= 1;
86     }
87   }
88   else iy = (hy >> 20) - 1023;
89 
90   /* set up {hx,lx}, {hy,ly} and align y to x */
91   if (ix >= -1022)
92     hx = 0x00100000 | (0x000fffff & hx);
93   else {          /* subnormal x, shift x to normal */
94     n = -1022 - ix;
95     if (n <= 31) {
96       hx = (hx << n) | (lx >> (32 - n));
97       lx <<= n;
98     }
99     else {
100       hx = lx << (n - 32);
101       lx = 0;
102     }
103   }
104   if (iy >= -1022)
105     hy = 0x00100000 | (0x000fffff & hy);
106   else {          /* subnormal y, shift y to normal */
107     n = -1022 - iy;
108     if (n <= 31) {
109       hy = (hy << n) | (ly >> (32 - n));
110       ly <<= n;
111     }
112     else {
113       hy = ly << (n - 32);
114       ly = 0;
115     }
116   }
117 
118   /* fix point fmod */
119   n = ix - iy;
120   while (n--) {
121     hz = hx - hy; lz = lx - ly; if (lx<ly) hz -= 1;
122     if (hz<0){ hx = hx + hx + (lx >> 31); lx = lx + lx; }
123     else {
124       if ((hz | lz) == 0)          /* return sign(x)*0 */
125         return Zero[(unsigned)sx >> 31];
126       hx = hz + hz + (lz >> 31); lx = lz + lz;
127     }
128   }
129   hz = hx - hy; lz = lx - ly; if (lx<ly) hz -= 1;
130   if (hz >= 0) { hx = hz; lx = lz; }
131 
132   /* convert back to floating value and restore the sign */
133   if ((hx | lx) == 0)                  /* return sign(x)*0 */
134     return Zero[(unsigned)sx >> 31];
135   while (hx<0x00100000) {          /* normalize x */
136     hx = hx + hx + (lx >> 31); lx = lx + lx;
137     iy -= 1;
138   }
139   if (iy >= -1022) {        /* normalize output */
140     hx = ((hx - 0x00100000) | ((iy + 1023) << 20));
141     __HI(x) = hx | sx;
142     __LO(x) = lx;
143   }
144   else {                /* subnormal output */
145     n = -1022 - iy;
146     if (n <= 20) {
147       lx = (lx >> n) | ((unsigned)hx << (32 - n));
148       hx >>= n;
149     }
150     else if (n <= 31) {
151       lx = (hx << (32 - n)) | (lx >> n); hx = sx;
152     }
153     else {
154       lx = hx >> (n - 32); hx = sx;
155     }
156     __HI(x) = hx | sx;
157     __LO(x) = lx;
158     x *= one;           /* create necessary signal */
159   }
160   return x;               /* exact output */
161 }
162 
163 #endif
164