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authorUlrich Drepper <drepper@gmail.com>2011-10-25 10:52:45 -0400
committerUlrich Drepper <drepper@gmail.com>2011-10-25 10:52:45 -0400
commitd7826aa149d2e85128a7ecf8fadc950ab9fe7a22 (patch)
tree9aff1638197c1f9b2ed99c8d666bd1a0b42517cb /sysdeps/ieee754/dbl-64/s_expm1.c
parent31ea014d8b09e6aa4f07cdb86c94ce50f1b92c2a (diff)
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Use math_force_eval in more places
Diffstat (limited to 'sysdeps/ieee754/dbl-64/s_expm1.c')
-rw-r--r--sysdeps/ieee754/dbl-64/s_expm1.c78
1 files changed, 33 insertions, 45 deletions
diff --git a/sysdeps/ieee754/dbl-64/s_expm1.c b/sysdeps/ieee754/dbl-64/s_expm1.c
index 324354336e..589128c08c 100644
--- a/sysdeps/ieee754/dbl-64/s_expm1.c
+++ b/sysdeps/ieee754/dbl-64/s_expm1.c
@@ -13,10 +13,6 @@
    for performance improvement on pipelined processors.
 */
 
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $";
-#endif
-
 /* expm1(x)
  * Returns exp(x)-1, the exponential of x minus 1.
  *
@@ -40,38 +36,38 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $";
  *		     = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r))
  *		     = 1 - r^2/60 + r^4/2520 - r^6/100800 + ...
  *      We use a special Reme algorithm on [0,0.347] to generate
- * 	a polynomial of degree 5 in r*r to approximate R1. The
+ *	a polynomial of degree 5 in r*r to approximate R1. The
  *	maximum error of this polynomial approximation is bounded
  *	by 2**-61. In other words,
  *	    R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5
- *	where 	Q1  =  -1.6666666666666567384E-2,
- * 		Q2  =   3.9682539681370365873E-4,
- * 		Q3  =  -9.9206344733435987357E-6,
- * 		Q4  =   2.5051361420808517002E-7,
- * 		Q5  =  -6.2843505682382617102E-9;
- *  	(where z=r*r, and the values of Q1 to Q5 are listed below)
+ *	where	Q1  =  -1.6666666666666567384E-2,
+ *		Q2  =   3.9682539681370365873E-4,
+ *		Q3  =  -9.9206344733435987357E-6,
+ *		Q4  =   2.5051361420808517002E-7,
+ *		Q5  =  -6.2843505682382617102E-9;
+ *	(where z=r*r, and the values of Q1 to Q5 are listed below)
  *	with error bounded by
  *	    |                  5           |     -61
  *	    | 1.0+Q1*z+...+Q5*z   -  R1(z) | <= 2
  *	    |                              |
  *
  *	expm1(r) = exp(r)-1 is then computed by the following
- * 	specific way which minimize the accumulation rounding error:
+ *	specific way which minimize the accumulation rounding error:
  *			       2     3
  *			      r     r    [ 3 - (R1 + R1*r/2)  ]
  *	      expm1(r) = r + --- + --- * [--------------------]
- *		              2     2    [ 6 - r*(3 - R1*r/2) ]
+ *			      2     2    [ 6 - r*(3 - R1*r/2) ]
  *
  *	To compensate the error in the argument reduction, we use
  *		expm1(r+c) = expm1(r) + c + expm1(r)*c
  *			   ~ expm1(r) + c + r*c
  *	Thus c+r*c will be added in as the correction terms for
  *	expm1(r+c). Now rearrange the term to avoid optimization
- * 	screw up:
- *		        (      2                                    2 )
- *		        ({  ( r    [ R1 -  (3 - R1*r/2) ]  )  }    r  )
+ *	screw up:
+ *			(      2                                    2 )
+ *			({  ( r    [ R1 -  (3 - R1*r/2) ]  )  }    r  )
  *	 expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- )
- *	                ({  ( 2    [ 6 - r*(3 - R1*r/2) ]  )  }    2  )
+ *			({  ( 2    [ 6 - r*(3 - R1*r/2) ]  )  }    2  )
  *                      (                                             )
  *
  *		   = r - E
@@ -87,7 +83,7 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $";
  *	  (ii)  if k=0, return r-E
  *	  (iii) if k=-1, return 0.5*(r-E)-0.5
  *        (iv)	if k=1 if r < -0.25, return 2*((r+0.5)- E)
- *	       	       else	     return  1.0+2.0*(r-E);
+ *		       else	     return  1.0+2.0*(r-E);
  *	  (v)   if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1)
  *	  (vi)  if k <= 20, return 2^k((1-2^-k)-(E-r)), else
  *	  (vii) return 2^k(1-((E+2^-k)-r))
@@ -116,11 +112,7 @@ static char rcsid[] = "$NetBSD: s_expm1.c,v 1.8 1995/05/10 20:47:09 jtc Exp $";
 #include "math.h"
 #include "math_private.h"
 #define one Q[0]
-#ifdef __STDC__
 static const double
-#else
-static double
-#endif
 huge		= 1.0e+300,
 tiny		= 1.0e-300,
 o_threshold	= 7.09782712893383973096e+02,/* 0x40862E42, 0xFEFA39EF */
@@ -134,12 +126,8 @@ Q[]  =  {1.0, -3.33333333333331316428e-02, /* BFA11111 111110F4 */
    4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
   -2.01099218183624371326e-07}; /* BE8AFDB7 6E09C32D */
 
-#ifdef __STDC__
-	double __expm1(double x)
-#else
-	double __expm1(x)
-	double x;
-#endif
+double
+__expm1(double x)
 {
 	double y,hi,lo,c,t,e,hxs,hfx,r1,h2,h4,R1,R2,R3;
 	int32_t k,xsb;
@@ -153,20 +141,20 @@ Q[]  =  {1.0, -3.33333333333331316428e-02, /* BFA11111 111110F4 */
     /* filter out huge and non-finite argument */
 	if(hx >= 0x4043687A) {			/* if |x|>=56*ln2 */
 	    if(hx >= 0x40862E42) {		/* if |x|>=709.78... */
-                if(hx>=0x7ff00000) {
+		if(hx>=0x7ff00000) {
 		    u_int32_t low;
 		    GET_LOW_WORD(low,x);
 		    if(((hx&0xfffff)|low)!=0)
-		         return x+x; 	 /* NaN */
+			 return x+x;	 /* NaN */
 		    else return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
-	        }
-	        if(x > o_threshold) {
+		}
+		if(x > o_threshold) {
 		  __set_errno (ERANGE);
 		  return huge*huge; /* overflow */
 		}
 	    }
 	    if(xsb!=0) { /* x < -56*ln2, return -1.0 with inexact */
-		if(x+tiny<0.0)		/* raise inexact */
+		math_force_eval(x+tiny);	/* raise inexact */
 		return tiny-one;	/* return -1 */
 	    }
 	}
@@ -187,7 +175,7 @@ Q[]  =  {1.0, -3.33333333333331316428e-02, /* BFA11111 111110F4 */
 	    x  = hi - lo;
 	    c  = (hi-x)-lo;
 	}
-	else if(hx < 0x3c900000) {  	/* when |x|<2**-54, return x */
+	else if(hx < 0x3c900000) {	/* when |x|<2**-54, return x */
 	    t = huge+x;	/* return x with inexact flags when x!=0 */
 	    return x - (t-(huge+x));
 	}
@@ -212,28 +200,28 @@ Q[]  =  {1.0, -3.33333333333331316428e-02, /* BFA11111 111110F4 */
 	    e -= hxs;
 	    if(k== -1) return 0.5*(x-e)-0.5;
 	    if(k==1) {
-	       	if(x < -0.25) return -2.0*(e-(x+0.5));
-	       	else 	      return  one+2.0*(x-e);
+		if(x < -0.25) return -2.0*(e-(x+0.5));
+		else	      return  one+2.0*(x-e);
 	    }
 	    if (k <= -2 || k>56) {   /* suffice to return exp(x)-1 */
-	        u_int32_t high;
-	        y = one-(e-x);
+		u_int32_t high;
+		y = one-(e-x);
 		GET_HIGH_WORD(high,y);
 		SET_HIGH_WORD(y,high+(k<<20));	/* add k to y's exponent */
-	        return y-one;
+		return y-one;
 	    }
 	    t = one;
 	    if(k<20) {
-	        u_int32_t high;
-	        SET_HIGH_WORD(t,0x3ff00000 - (0x200000>>k));  /* t=1-2^-k */
-	       	y = t-(e-x);
+		u_int32_t high;
+		SET_HIGH_WORD(t,0x3ff00000 - (0x200000>>k));  /* t=1-2^-k */
+		y = t-(e-x);
 		GET_HIGH_WORD(high,y);
 		SET_HIGH_WORD(y,high+(k<<20));	/* add k to y's exponent */
 	   } else {
-	        u_int32_t high;
+		u_int32_t high;
 		SET_HIGH_WORD(t,((0x3ff-k)<<20));	/* 2^-k */
-	       	y = x-(e+t);
-	       	y += one;
+		y = x-(e+t);
+		y += one;
 		GET_HIGH_WORD(high,y);
 		SET_HIGH_WORD(y,high+(k<<20));	/* add k to y's exponent */
 	    }