Format floating routines.

1 files changed, 121 insertions, 94 deletions

diff --git a/sysdeps/ieee754/dbl-64/e_rem_pio2.c b/sysdeps/ieee754/dbl-64/e_rem_pio2.c
index 4478be0b07..2f55ca294b 100644
--- a/sysdeps/ieee754/dbl-64/e_rem_pio2.c
+++ b/sysdeps/ieee754/dbl-64/e_rem_pio2.c
@@ -57,110 +57,137 @@ static const int32_t npio2_hw[] = {
  */
 
 static const double
-zero =  0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
-half =  5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
-two24 =  1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
-invpio2 =  6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
-pio2_1  =  1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
-pio2_1t =  6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
-pio2_2  =  6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
-pio2_2t =  2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
-pio2_3  =  2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
-pio2_3t =  8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
+  zero    = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+  half    = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+  two24   = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+  invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+  pio2_1  = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
+  pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
+  pio2_2  = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
+  pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
+  pio2_3  = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
+  pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
 
 int32_t
-__ieee754_rem_pio2(double x, double *y)
+__ieee754_rem_pio2 (double x, double *y)
 {
-	double z,w,t,r,fn;
-	double tx[3];
-	int32_t e0,i,j,nx,n,ix,hx;
-	u_int32_t low;
+  double z, w, t, r, fn;
+  double tx[3];
+  int32_t e0, i, j, nx, n, ix, hx;
+  u_int32_t low;
 
-	GET_HIGH_WORD(hx,x);		/* high word of x */
-	ix = hx&0x7fffffff;
-	if(ix<=0x3fe921fb)   /* |x| ~<= pi/4 , no need for reduction */
-	    {y[0] = x; y[1] = 0; return 0;}
-	if(ix<0x4002d97c) {  /* |x| < 3pi/4, special case with n=+-1 */
-	    if(hx>0) {
-		z = x - pio2_1;
-		if(ix!=0x3ff921fb) {	/* 33+53 bit pi is good enough */
-		    y[0] = z - pio2_1t;
-		    y[1] = (z-y[0])-pio2_1t;
-		} else {		/* near pi/2, use 33+33+53 bit pi */
-		    z -= pio2_2;
-		    y[0] = z - pio2_2t;
-		    y[1] = (z-y[0])-pio2_2t;
-		}
-		return 1;
-	    } else {	/* negative x */
-		z = x + pio2_1;
-		if(ix!=0x3ff921fb) {	/* 33+53 bit pi is good enough */
-		    y[0] = z + pio2_1t;
-		    y[1] = (z-y[0])+pio2_1t;
-		} else {		/* near pi/2, use 33+33+53 bit pi */
-		    z += pio2_2;
-		    y[0] = z + pio2_2t;
-		    y[1] = (z-y[0])+pio2_2t;
-		}
-		return -1;
+  GET_HIGH_WORD (hx, x);                /* high word of x */
+  ix = hx & 0x7fffffff;
+  if (ix <= 0x3fe921fb)      /* |x| ~<= pi/4 , no need for reduction */
+    {
+      y[0] = x; y[1] = 0; return 0;
+    }
+  if (ix < 0x4002d97c)       /* |x| < 3pi/4, special case with n=+-1 */
+    {
+      if (hx > 0)
+	{
+	  z = x - pio2_1;
+	  if (ix != 0x3ff921fb)         /* 33+53 bit pi is good enough */
+	    {
+	      y[0] = z - pio2_1t;
+	      y[1] = (z - y[0]) - pio2_1t;
+	    }
+	  else                          /* near pi/2, use 33+33+53 bit pi */
+	    {
+	      z -= pio2_2;
+	      y[0] = z - pio2_2t;
+	      y[1] = (z - y[0]) - pio2_2t;
 	    }
+	  return 1;
 	}
-	if(ix<=0x413921fb) { /* |x| ~<= 2^19*(pi/2), medium size */
-	    t  = fabs(x);
-	    n  = (int32_t) (t*invpio2+half);
-	    fn = (double)n;
-	    r  = t-fn*pio2_1;
-	    w  = fn*pio2_1t;	/* 1st round good to 85 bit */
-	    if(n<32&&ix!=npio2_hw[n-1]) {
-		y[0] = r-w;	/* quick check no cancellation */
-	    } else {
-		u_int32_t high;
-		j  = ix>>20;
-		y[0] = r-w;
-		GET_HIGH_WORD(high,y[0]);
-		i = j-((high>>20)&0x7ff);
-		if(i>16) {  /* 2nd iteration needed, good to 118 */
-		    t  = r;
-		    w  = fn*pio2_2;
-		    r  = t-w;
-		    w  = fn*pio2_2t-((t-r)-w);
-		    y[0] = r-w;
-		    GET_HIGH_WORD(high,y[0]);
-		    i = j-((high>>20)&0x7ff);
-		    if(i>49)  {	/* 3rd iteration need, 151 bits acc */
-			t  = r;	/* will cover all possible cases */
-			w  = fn*pio2_3;
-			r  = t-w;
-			w  = fn*pio2_3t-((t-r)-w);
-			y[0] = r-w;
-		    }
-		}
+      else              /* negative x */
+	{
+	  z = x + pio2_1;
+	  if (ix != 0x3ff921fb)         /* 33+53 bit pi is good enough */
+	    {
+	      y[0] = z + pio2_1t;
+	      y[1] = (z - y[0]) + pio2_1t;
+	    }
+	  else                          /* near pi/2, use 33+33+53 bit pi */
+	    {
+	      z += pio2_2;
+	      y[0] = z + pio2_2t;
+	      y[1] = (z - y[0]) + pio2_2t;
 	    }
-	    y[1] = (r-y[0])-w;
-	    if(hx<0)	{y[0] = -y[0]; y[1] = -y[1]; return -n;}
-	    else	 return n;
+	  return -1;
 	}
-    /*
-     * all other (large) arguments
-     */
-	if(ix>=0x7ff00000) {		/* x is inf or NaN */
-	    y[0]=y[1]=x-x; return 0;
+    }
+  if (ix <= 0x413921fb)      /* |x| ~<= 2^19*(pi/2), medium size */
+    {
+      t = fabs (x);
+      n = (int32_t) (t * invpio2 + half);
+      fn = (double) n;
+      r = t - fn * pio2_1;
+      w = fn * pio2_1t;         /* 1st round good to 85 bit */
+      if (n < 32 && ix != npio2_hw[n - 1])
+	{
+	  y[0] = r - w;         /* quick check no cancellation */
 	}
-    /* set z = scalbn(|x|,ilogb(x)-23) */
-	GET_LOW_WORD(low,x);
-	SET_LOW_WORD(z,low);
-	e0	= (ix>>20)-1046;	/* e0 = ilogb(z)-23; */
-	SET_HIGH_WORD(z, ix - ((int32_t)(e0<<20)));
-	for(i=0;i<2;i++) {
-		tx[i] = (double)((int32_t)(z));
-		z     = (z-tx[i])*two24;
+      else
+	{
+	  u_int32_t high;
+	  j = ix >> 20;
+	  y[0] = r - w;
+	  GET_HIGH_WORD (high, y[0]);
+	  i = j - ((high >> 20) & 0x7ff);
+	  if (i > 16)       /* 2nd iteration needed, good to 118 */
+	    {
+	      t = r;
+	      w = fn * pio2_2;
+	      r = t - w;
+	      w = fn * pio2_2t - ((t - r) - w);
+	      y[0] = r - w;
+	      GET_HIGH_WORD (high, y[0]);
+	      i = j - ((high >> 20) & 0x7ff);
+	      if (i > 49)       /* 3rd iteration need, 151 bits acc */
+		{
+		  t = r;        /* will cover all possible cases */
+		  w = fn * pio2_3;
+		  r = t - w;
+		  w = fn * pio2_3t - ((t - r) - w);
+		  y[0] = r - w;
+		}
+	    }
 	}
-	tx[2] = z;
-	nx = 3;
-	while(tx[nx-1]==zero) nx--;	/* skip zero term */
-	n  =  __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);
-	if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
+      y[1] = (r - y[0]) - w;
+      if (hx < 0)
+	{
+	  y[0] = -y[0]; y[1] = -y[1]; return -n;
+	}
+      else
 	return n;
+    }
+  /*
+   * all other (large) arguments
+   */
+  if (ix >= 0x7ff00000)                 /* x is inf or NaN */
+    {
+      y[0] = y[1] = x - x; return 0;
+    }
+  /* set z = scalbn(|x|,ilogb(x)-23) */
+  GET_LOW_WORD (low, x);
+  SET_LOW_WORD (z, low);
+  e0 = (ix >> 20) - 1046;               /* e0 = ilogb(z)-23; */
+  SET_HIGH_WORD (z, ix - ((int32_t) (e0 << 20)));
+  for (i = 0; i < 2; i++)
+    {
+      tx[i] = (double) ((int32_t) (z));
+      z = (z - tx[i]) * two24;
+    }
+  tx[2] = z;
+  nx = 3;
+  while (tx[nx - 1] == zero)
+    nx--;                               /* skip zero term */
+  n = __kernel_rem_pio2 (tx, y, e0, nx, 2, two_over_pi);
+  if (hx < 0)
+    {
+      y[0] = -y[0]; y[1] = -y[1]; return -n;
+    }
+  return n;
 }
-
 #endif