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authorOndřej Bílka <neleai@seznam.cz>2013-10-17 16:03:24 +0200
committerOndřej Bílka <neleai@seznam.cz>2013-10-17 16:03:24 +0200
commitc5d5d574cbfa96d0f6c1db24d1e072c472627e41 (patch)
tree83b97e29ee65636dfe1247ea8d2344ca3f0b04b4 /sysdeps/ieee754/dbl-64/e_sqrt.c
parente5c2c2d0c0315ca24cc9cd638cdb1a2d8dcc4b0d (diff)
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Format floating routines.
Diffstat (limited to 'sysdeps/ieee754/dbl-64/e_sqrt.c')
-rw-r--r--sysdeps/ieee754/dbl-64/e_sqrt.c95
1 files changed, 52 insertions, 43 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_sqrt.c b/sysdeps/ieee754/dbl-64/e_sqrt.c
index 54610eeeab..854ae38c41 100644
--- a/sysdeps/ieee754/dbl-64/e_sqrt.c
+++ b/sysdeps/ieee754/dbl-64/e_sqrt.c
@@ -44,58 +44,67 @@
 /* it computes the correctly rounded (to nearest) value of square    */
 /* root of x.                                                        */
 /*********************************************************************/
-double __ieee754_sqrt(double x) {
+double
+__ieee754_sqrt (double x)
+{
 #include "uroot.h"
   static const double
     rt0 = 9.99999999859990725855365213134618E-01,
     rt1 = 4.99999999495955425917856814202739E-01,
     rt2 = 3.75017500867345182581453026130850E-01,
     rt3 = 3.12523626554518656309172508769531E-01;
-  static const double big =  134217728.0;
-  double y,t,del,res,res1,hy,z,zz,p,hx,tx,ty,s;
-  mynumber a,c={{0,0}};
+  static const double big = 134217728.0;
+  double y, t, del, res, res1, hy, z, zz, p, hx, tx, ty, s;
+  mynumber a, c = { { 0, 0 } };
   int4 k;
 
-  a.x=x;
-  k=a.i[HIGH_HALF];
-  a.i[HIGH_HALF]=(k&0x001fffff)|0x3fe00000;
-  t=inroot[(k&0x001fffff)>>14];
-  s=a.x;
+  a.x = x;
+  k = a.i[HIGH_HALF];
+  a.i[HIGH_HALF] = (k & 0x001fffff) | 0x3fe00000;
+  t = inroot[(k & 0x001fffff) >> 14];
+  s = a.x;
   /*----------------- 2^-1022  <= | x |< 2^1024  -----------------*/
-  if (k>0x000fffff && k<0x7ff00000) {
-    fenv_t env;
-    libc_feholdexcept (&env);
-    double ret;
-    y=1.0-t*(t*s);
-    t=t*(rt0+y*(rt1+y*(rt2+y*rt3)));
-    c.i[HIGH_HALF]=0x20000000+((k&0x7fe00000)>>1);
-    y=t*s;
-    hy=(y+big)-big;
-    del=0.5*t*((s-hy*hy)-(y-hy)*(y+hy));
-    res=y+del;
-    if (res == (res+1.002*((y-res)+del))) ret = res*c.x;
-    else {
-      res1=res+1.5*((y-res)+del);
-      EMULV(res,res1,z,zz,p,hx,tx,hy,ty);  /* (z+zz)=res*res1 */
-      ret = ((((z-s)+zz)<0)?max(res,res1):min(res,res1))*c.x;
+  if (k > 0x000fffff && k < 0x7ff00000)
+    {
+      fenv_t env;
+      libc_feholdexcept (&env);
+      double ret;
+      y = 1.0 - t * (t * s);
+      t = t * (rt0 + y * (rt1 + y * (rt2 + y * rt3)));
+      c.i[HIGH_HALF] = 0x20000000 + ((k & 0x7fe00000) >> 1);
+      y = t * s;
+      hy = (y + big) - big;
+      del = 0.5 * t * ((s - hy * hy) - (y - hy) * (y + hy));
+      res = y + del;
+      if (res == (res + 1.002 * ((y - res) + del)))
+	ret = res * c.x;
+      else
+	{
+	  res1 = res + 1.5 * ((y - res) + del);
+	  EMULV (res, res1, z, zz, p, hx, tx, hy, ty); /* (z+zz)=res*res1 */
+	  ret = ((((z - s) + zz) < 0) ? max (res, res1) :
+					min (res, res1)) * c.x;
+	}
+      math_force_eval (ret);
+      libc_fesetenv (&env);
+      if (x / ret != ret)
+	{
+	  double force_inexact = 1.0 / 3.0;
+	  math_force_eval (force_inexact);
+	}
+      /* Otherwise (x / ret == ret), either the square root was exact or
+         the division was inexact.  */
+      return ret;
+    }
+  else
+    {
+      if ((k & 0x7ff00000) == 0x7ff00000)
+	return x * x + x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf, sqrt(-inf)=sNaN */
+      if (x == 0)
+	return x;       /* sqrt(+0)=+0, sqrt(-0)=-0 */
+      if (k < 0)
+	return (x - x) / (x - x); /* sqrt(-ve)=sNaN */
+      return tm256.x * __ieee754_sqrt (x * t512.x);
     }
-    math_force_eval (ret);
-    libc_fesetenv (&env);
-    if (x / ret != ret)
-      {
-	double force_inexact = 1.0 / 3.0;
-	math_force_eval (force_inexact);
-      }
-    /* Otherwise (x / ret == ret), either the square root was exact or
-       the division was inexact.  */
-    return ret;
-  }
-  else {
-    if ((k & 0x7ff00000) == 0x7ff00000)
-      return x*x+x;	/* sqrt(NaN)=NaN, sqrt(+inf)=+inf, sqrt(-inf)=sNaN */
-    if (x==0) return x;	/* sqrt(+0)=+0, sqrt(-0)=-0 */
-    if (k<0) return (x-x)/(x-x); /* sqrt(-ve)=sNaN */
-    return tm256.x*__ieee754_sqrt(x*t512.x);
-  }
 }
 strong_alias (__ieee754_sqrt, __sqrt_finite)