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s_floor.c (1833B)


      1 /*
      2  * ====================================================
      3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
      4  *
      5  * Developed at SunPro, a Sun Microsystems, Inc. business.
      6  * Permission to use, copy, modify, and distribute this
      7  * software is freely granted, provided that this notice
      8  * is preserved.
      9  * ====================================================
     10  */
     11 
     12 /*
     13  * floor(x)
     14  * Return x rounded toward -inf to integral value
     15  * Method:
     16  *	Bit twiddling.
     17  * Exception:
     18  *	Inexact flag raised if x not equal to floor(x).
     19  */
     20 
     21 /*#include <features.h>*/
     22 /* Prevent math.h from defining a colliding inline */
     23 #undef __USE_EXTERN_INLINES
     24 #include "math_libm.h"
     25 #include "math_private.h"
     26 
     27 #ifdef __WATCOMC__ /* Watcom defines huge=__huge */
     28 #undef huge
     29 #endif
     30 
     31 static const double huge = 1.0e300;
     32 
     33 double floor(double x)
     34 {
     35 	int32_t i0,i1,j0;
     36 	u_int32_t i,j;
     37 	EXTRACT_WORDS(i0,i1,x);
     38 	j0 = ((i0>>20)&0x7ff)-0x3ff;
     39 	if(j0<20) {
     40 	    if(j0<0) { 	/* raise inexact if x != 0 */
     41 		if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
     42 		    if(i0>=0) {i0=i1=0;}
     43 		    else if(((i0&0x7fffffff)|i1)!=0)
     44 			{ i0=0xbff00000;i1=0;}
     45 		}
     46 	    } else {
     47 		i = (0x000fffff)>>j0;
     48 		if(((i0&i)|i1)==0) return x; /* x is integral */
     49 		if(huge+x>0.0) {	/* raise inexact flag */
     50 		    if(i0<0) i0 += (0x00100000)>>j0;
     51 		    i0 &= (~i); i1=0;
     52 		}
     53 	    }
     54 	} else if (j0>51) {
     55 	    if(j0==0x400) return x+x;	/* inf or NaN */
     56 	    else return x;		/* x is integral */
     57 	} else {
     58 	    i = ((u_int32_t)(0xffffffff))>>(j0-20);
     59 	    if((i1&i)==0) return x;	/* x is integral */
     60 	    if(huge+x>0.0) { 		/* raise inexact flag */
     61 		if(i0<0) {
     62 		    if(j0==20) i0+=1;
     63 		    else {
     64 			j = i1+(1<<(52-j0));
     65 			if(j<(u_int32_t)i1) i0 +=1 ; 	/* got a carry */
     66 			i1=j;
     67 		    }
     68 		}
     69 		i1 &= (~i);
     70 	    }
     71 	}
     72 	INSERT_WORDS(x,i0,i1);
     73 	return x;
     74 }
     75 libm_hidden_def(floor)