lib/libm/src/s_ceil.c

   1 /* @(#)s_ceil.c 5.1 93/09/24 */
   2 /*
   3  * ====================================================
   4  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   5  *
   6  * Developed at SunPro, a Sun Microsystems, Inc. business.
   7  * Permission to use, copy, modify, and distribute this
   8  * software is freely granted, provided that this notice
   9  * is preserved.
  10  * ====================================================
  11  */
  12
  13 #include <sys/cdefs.h>
  14 #if defined(LIBM_SCCS) && !defined(lint)
  15 __RCSID("$NetBSD: s_ceil.c,v 1.14 2013/11/11 23:57:34 joerg Exp $");
  16 #endif
  17
  18 /*
  19  * ceil(x)
  20  * Return x rounded toward -inf to integral value
  21  * Method:
  22  *      Bit twiddling.
  23  * Exception:
  24  *      Inexact flag raised if x not equal to ceil(x).
  25  */
  26
  27 #include "math.h"
  28 #include "math_private.h"
  29
  30 static const double huge = 1.0e300;
  31
  32 #ifndef __HAVE_LONG_DOUBLE
  33 __strong_alias(_ceill, ceil)
  34 __weak_alias(ceill, ceil)
  35 #endif
  36
  37 double
  38 ceil(double x)
  39 {
  40         int32_t i0,i1,jj0;
  41         u_int32_t i,j;
  42         EXTRACT_WORDS(i0,i1,x);
  43         jj0 = ((i0>>20)&0x7ff)-0x3ff;
  44         if(jj0<20) {
  45             if(jj0<0) {         /* raise inexact if x != 0 */
  46                 if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
  47                     if(i0<0) {i0=0x80000000;i1=0;}
  48                     else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
  49                 }
  50             } else {
  51                 i = (0x000fffff)>>jj0;
  52                 if(((i0&i)|i1)==0) return x; /* x is integral */
  53                 if(huge+x>0.0) {        /* raise inexact flag */
  54                     if(i0>0) i0 += (0x00100000)>>jj0;
  55                     i0 &= (~i); i1=0;
  56                 }
  57             }
  58         } else if (jj0>51) {
  59             if(jj0==0x400) return x+x;  /* inf or NaN */
  60             else return x;              /* x is integral */
  61         } else {
  62             i = ((u_int32_t)(0xffffffff))>>(jj0-20);
  63             if((i1&i)==0) return x;     /* x is integral */
  64             if(huge+x>0.0) {            /* raise inexact flag */
  65                 if(i0>0) {
  66                     if(jj0==20) i0+=1;
  67                     else {
  68                         j = i1 + (1<<(52-jj0));
  69                         if(j<(u_int32_t)i1) i0+=1;      /* got a carry */
  70                         i1 = j;
  71                     }
  72                 }
  73                 i1 &= (~i);
  74             }
  75         }
  76         INSERT_WORDS(x,i0,i1);
  77         return x;
  78 }