Format and clean up s_atan2.c

1 files changed, 494 insertions, 310 deletions

diff --git a/sysdeps/ieee754/dbl-64/e_atan2.c b/sysdeps/ieee754/dbl-64/e_atan2.c
index 535010e..bfe0b3b 100644
--- a/sysdeps/ieee754/dbl-64/e_atan2.c
+++ b/sysdeps/ieee754/dbl-64/e_atan2.c
@@ -53,96 +53,171 @@
 /* Assumption: Machine arithmetic operations are performed in           */
 /* round to nearest mode of IEEE 754 standard.                          */
 /************************************************************************/
-static double atan2Mp(double ,double ,const int[]);
+static double atan2Mp (double, double, const int[]);
   /* Fix the sign and return after stage 1 or stage 2 */
-static double signArctan2(double y,double z)
+static double
+signArctan2 (double y, double z)
 {
-  return __copysign(z, y);
+  return __copysign (z, y);
 }
-static double normalized(double ,double,double ,double);
-void __mpatan2(mp_no *,mp_no *,mp_no *,int);
+
+static double normalized (double, double, double, double);
+void __mpatan2 (mp_no *, mp_no *, mp_no *, int);
 
 double
 SECTION
-__ieee754_atan2(double y,double x) {
-
-  int i,de,ux,dx,uy,dy;
-  static const int pr[MM]={6,8,10,20,32};
-  double ax,ay,u,du,u9,ua,v,vv,dv,t1,t2,t3,t7,t8,
-	 z,zz,cor,s1,ss1,s2,ss2;
+__ieee754_atan2 (double y, double x)
+{
+  int i, de, ux, dx, uy, dy;
+  static const int pr[MM] = { 6, 8, 10, 20, 32 };
+  double ax, ay, u, du, u9, ua, v, vv, dv, t1, t2, t3, t7, t8,
+    z, zz, cor, s1, ss1, s2, ss2;
 #ifndef DLA_FMS
-  double t4,t5,t6;
+  double t4, t5, t6;
 #endif
   number num;
 
-  static const int ep= 59768832,   /*  57*16**5   */
-		   em=-59768832;   /* -57*16**5   */
+  static const int ep = 59768832,	/*  57*16**5   */
+    em = -59768832;		/* -57*16**5   */
 
   /* x=NaN or y=NaN */
-  num.d = x;  ux = num.i[HIGH_HALF];  dx = num.i[LOW_HALF];
-  if   ((ux&0x7ff00000)    ==0x7ff00000) {
-    if (((ux&0x000fffff)|dx)!=0x00000000) return x+x; }
-  num.d = y;  uy = num.i[HIGH_HALF];  dy = num.i[LOW_HALF];
-  if   ((uy&0x7ff00000)    ==0x7ff00000) {
-    if (((uy&0x000fffff)|dy)!=0x00000000) return y+y; }
+  num.d = x;
+  ux = num.i[HIGH_HALF];
+  dx = num.i[LOW_HALF];
+  if ((ux & 0x7ff00000) == 0x7ff00000)
+    {
+      if (((ux & 0x000fffff) | dx) != 0x00000000)
+	return x + x;
+    }
+  num.d = y;
+  uy = num.i[HIGH_HALF];
+  dy = num.i[LOW_HALF];
+  if ((uy & 0x7ff00000) == 0x7ff00000)
+    {
+      if (((uy & 0x000fffff) | dy) != 0x00000000)
+	return y + y;
+    }
 
   /* y=+-0 */
-  if      (uy==0x00000000) {
-    if    (dy==0x00000000) {
-      if  ((ux&0x80000000)==0x00000000)  return ZERO;
-      else                               return opi.d; } }
-  else if (uy==0x80000000) {
-    if    (dy==0x00000000) {
-      if  ((ux&0x80000000)==0x00000000)  return MZERO;
-      else                               return mopi.d;} }
+  if (uy == 0x00000000)
+    {
+      if (dy == 0x00000000)
+	{
+	  if ((ux & 0x80000000) == 0x00000000)
+	    return ZERO;
+	  else
+	    return opi.d;
+	}
+    }
+  else if (uy == 0x80000000)
+    {
+      if (dy == 0x00000000)
+	{
+	  if ((ux & 0x80000000) == 0x00000000)
+	    return MZERO;
+	  else
+	    return mopi.d;
+	}
+    }
 
   /* x=+-0 */
-  if (x==ZERO) {
-    if ((uy&0x80000000)==0x00000000)     return hpi.d;
-    else                                 return mhpi.d; }
+  if (x == ZERO)
+    {
+      if ((uy & 0x80000000) == 0x00000000)
+	return hpi.d;
+      else
+	return mhpi.d;
+    }
 
   /* x=+-INF */
-  if          (ux==0x7ff00000) {
-    if        (dx==0x00000000) {
-      if      (uy==0x7ff00000) {
-	if    (dy==0x00000000)  return qpi.d; }
-      else if (uy==0xfff00000) {
-	if    (dy==0x00000000)  return mqpi.d; }
-      else {
-	if    ((uy&0x80000000)==0x00000000)  return ZERO;
-	else                                 return MZERO; }
+  if (ux == 0x7ff00000)
+    {
+      if (dx == 0x00000000)
+	{
+	  if (uy == 0x7ff00000)
+	    {
+	      if (dy == 0x00000000)
+		return qpi.d;
+	    }
+	  else if (uy == 0xfff00000)
+	    {
+	      if (dy == 0x00000000)
+		return mqpi.d;
+	    }
+	  else
+	    {
+	      if ((uy & 0x80000000) == 0x00000000)
+		return ZERO;
+	      else
+		return MZERO;
+	    }
+	}
     }
-  }
-  else if     (ux==0xfff00000) {
-    if        (dx==0x00000000) {
-      if      (uy==0x7ff00000) {
-	if    (dy==0x00000000)  return tqpi.d; }
-      else if (uy==0xfff00000) {
-	if    (dy==0x00000000)  return mtqpi.d; }
-      else                     {
-	if    ((uy&0x80000000)==0x00000000)  return opi.d;
-	else                                 return mopi.d; }
+  else if (ux == 0xfff00000)
+    {
+      if (dx == 0x00000000)
+	{
+	  if (uy == 0x7ff00000)
+	    {
+	      if (dy == 0x00000000)
+		return tqpi.d;
+	    }
+	  else if (uy == 0xfff00000)
+	    {
+	      if (dy == 0x00000000)
+		return mtqpi.d;
+	    }
+	  else
+	    {
+	      if ((uy & 0x80000000) == 0x00000000)
+		return opi.d;
+	      else
+		return mopi.d;
+	    }
+	}
     }
-  }
 
   /* y=+-INF */
-  if      (uy==0x7ff00000) {
-    if    (dy==0x00000000)  return hpi.d; }
-  else if (uy==0xfff00000) {
-    if    (dy==0x00000000)  return mhpi.d; }
+  if (uy == 0x7ff00000)
+    {
+      if (dy == 0x00000000)
+	return hpi.d;
+    }
+  else if (uy == 0xfff00000)
+    {
+      if (dy == 0x00000000)
+	return mhpi.d;
+    }
 
   /* either x/y or y/x is very close to zero */
-  ax = (x<ZERO) ? -x : x;    ay = (y<ZERO) ? -y : y;
+  ax = (x < ZERO) ? -x : x;
+  ay = (y < ZERO) ? -y : y;
   de = (uy & 0x7ff00000) - (ux & 0x7ff00000);
-  if      (de>=ep)  { return ((y>ZERO) ? hpi.d : mhpi.d); }
-  else if (de<=em)  {
-    if    (x>ZERO)  {
-      if  ((z=ay/ax)<TWOM1022)  return normalized(ax,ay,y,z);
-      else                      return signArctan2(y,z); }
-    else            { return ((y>ZERO) ? opi.d : mopi.d); } }
+  if (de >= ep)
+    {
+      return ((y > ZERO) ? hpi.d : mhpi.d);
+    }
+  else if (de <= em)
+    {
+      if (x > ZERO)
+	{
+	  if ((z = ay / ax) < TWOM1022)
+	    return normalized (ax, ay, y, z);
+	  else
+	    return signArctan2 (y, z);
+	}
+      else
+	{
+	  return ((y > ZERO) ? opi.d : mopi.d);
+	}
+    }
 
   /* if either x or y is extremely close to zero, scale abs(x), abs(y). */
-  if (ax<twom500.d || ay<twom500.d) { ax*=two500.d;  ay*=two500.d; }
+  if (ax < twom500.d || ay < twom500.d)
+    {
+      ax *= two500.d;
+      ay *= two500.d;
+    }
 
   /* Likewise for large x and y.  */
   if (ax > two500.d || ay > two500.d)
@@ -152,268 +227,377 @@ __ieee754_atan2(double y,double x) {
     }
 
   /* x,y which are neither special nor extreme */
-  if (ay<ax) {
-    u=ay/ax;
-    EMULV(ax,u,v,vv,t1,t2,t3,t4,t5)
-    du=((ay-v)-vv)/ax; }
-  else {
-    u=ax/ay;
-    EMULV(ay,u,v,vv,t1,t2,t3,t4,t5)
-    du=((ax-v)-vv)/ay; }
-
-  if (x>ZERO) {
-
-    /* (i)   x>0, abs(y)< abs(x):  atan(ay/ax) */
-    if (ay<ax) {
-      if (u<inv16.d) {
-	v=u*u;  zz=du+u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
-	if ((z=u+(zz-u1.d*u)) == u+(zz+u1.d*u))  return signArctan2(y,z);
-
-	MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
-	s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
-	ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
-	if ((z=s1+(ss1-u5.d*s1)) == s1+(ss1+u5.d*s1))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
-      else {
-	i=(TWO52+TWO8*u)-TWO52;  i-=16;
-	t3=u-cij[i][0].d;
-	EADD(t3,du,v,dv)
-	t1=cij[i][1].d;  t2=cij[i][2].d;
-	zz=v*t2+(dv*t2+v*v*(cij[i][3].d+v*(cij[i][4].d+
-			 v*(cij[i][5].d+v* cij[i][6].d))));
-	if (i<112) {
-	  if (i<48)  u9=u91.d;    /* u < 1/4        */
-	  else       u9=u92.d; }  /* 1/4 <= u < 1/2 */
-	else {
-	  if (i<176) u9=u93.d;    /* 1/2 <= u < 3/4 */
-	  else       u9=u94.d; }  /* 3/4 <= u <= 1  */
-	if ((z=t1+(zz-u9*t1)) == t1+(zz+u9*t1))  return signArctan2(y,z);
-
-	t1=u-hij[i][0].d;
-	EADD(t1,du,v,vv)
-	s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
-	   v*(hij[i][14].d+v* hij[i][15].d))));
-	ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
-	if ((z=s2+(ss2-ub.d*s2)) == s2+(ss2+ub.d*s2))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
+  if (ay < ax)
+    {
+      u = ay / ax;
+      EMULV (ax, u, v, vv, t1, t2, t3, t4, t5);
+      du = ((ay - v) - vv) / ax;
+    }
+  else
+    {
+      u = ax / ay;
+      EMULV (ay, u, v, vv, t1, t2, t3, t4, t5);
+      du = ((ax - v) - vv) / ay;
     }
 
-    /* (ii)  x>0, abs(x)<=abs(y):  pi/2-atan(ax/ay) */
-    else {
-      if (u<inv16.d) {
-	v=u*u;
-	zz=u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
-	ESUB(hpi.d,u,t2,cor)
-	t3=((hpi1.d+cor)-du)-zz;
-	if ((z=t2+(t3-u2.d)) == t2+(t3+u2.d))  return signArctan2(y,z);
-
-	MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
-	s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
-	ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
-	SUB2(hpi.d,hpi1.d,s1,ss1,s2,ss2,t1,t2)
-	if ((z=s2+(ss2-u6.d)) == s2+(ss2+u6.d))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
-      else {
-	i=(TWO52+TWO8*u)-TWO52;  i-=16;
-	v=(u-cij[i][0].d)+du;
-	zz=hpi1.d-v*(cij[i][2].d+v*(cij[i][3].d+v*(cij[i][4].d+
-				 v*(cij[i][5].d+v* cij[i][6].d))));
-	t1=hpi.d-cij[i][1].d;
-	if (i<112)  ua=ua1.d;  /* w <  1/2 */
-	else        ua=ua2.d;  /* w >= 1/2 */
-	if ((z=t1+(zz-ua)) == t1+(zz+ua))  return signArctan2(y,z);
-
-	t1=u-hij[i][0].d;
-	EADD(t1,du,v,vv)
-	s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
-	   v*(hij[i][14].d+v* hij[i][15].d))));
-	ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
-	SUB2(hpi.d,hpi1.d,s2,ss2,s1,ss1,t1,t2)
-	if ((z=s1+(ss1-uc.d)) == s1+(ss1+uc.d))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
+  if (x > ZERO)
+    {
+      /* (i)   x>0, abs(y)< abs(x):  atan(ay/ax) */
+      if (ay < ax)
+	{
+	  if (u < inv16.d)
+	    {
+	      v = u * u;
+
+	      zz = du + u * v * (d3.d
+				 + v * (d5.d
+					+ v * (d7.d
+					       + v * (d9.d
+						      + v * (d11.d
+							     + v * d13.d)))));
+
+	      if ((z = u + (zz - u1.d * u)) == u + (zz + u1.d * u))
+		return signArctan2 (y, z);
+
+	      MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
+	      s1 = v * (f11.d + v * (f13.d
+				     + v * (f15.d + v * (f17.d + v * f19.d))));
+	      ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
+	      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	      ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
+	      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	      ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
+	      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	      ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
+	      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	      MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
+	      ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
+
+	      if ((z = s1 + (ss1 - u5.d * s1)) == s1 + (ss1 + u5.d * s1))
+		return signArctan2 (y, z);
+
+	      return atan2Mp (x, y, pr);
+	    }
+
+	  i = (TWO52 + TWO8 * u) - TWO52;
+	  i -= 16;
+	  t3 = u - cij[i][0].d;
+	  EADD (t3, du, v, dv);
+	  t1 = cij[i][1].d;
+	  t2 = cij[i][2].d;
+	  zz = v * t2 + (dv * t2
+			 + v * v * (cij[i][3].d
+				    + v * (cij[i][4].d
+					   + v * (cij[i][5].d
+						  + v * cij[i][6].d))));
+	  if (i < 112)
+	    {
+	      if (i < 48)
+		u9 = u91.d;	/* u < 1/4	*/
+	      else
+		u9 = u92.d;
+	    }		/* 1/4 <= u < 1/2 */
+	  else
+	    {
+	      if (i < 176)
+		u9 = u93.d;	/* 1/2 <= u < 3/4 */
+	      else
+		u9 = u94.d;
+	    }		/* 3/4 <= u <= 1  */
+	  if ((z = t1 + (zz - u9 * t1)) == t1 + (zz + u9 * t1))
+	    return signArctan2 (y, z);
+
+	  t1 = u - hij[i][0].d;
+	  EADD (t1, du, v, vv);
+	  s1 = v * (hij[i][11].d
+		    + v * (hij[i][12].d
+			   +  v * (hij[i][13].d
+				   + v * (hij[i][14].d
+					  + v * hij[i][15].d))));
+	  ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
+
+	  if ((z = s2 + (ss2 - ub.d * s2)) == s2 + (ss2 + ub.d * s2))
+	    return signArctan2 (y, z);
+	  return atan2Mp (x, y, pr);
+	}
+
+      /* (ii)  x>0, abs(x)<=abs(y):  pi/2-atan(ax/ay) */
+      if (u < inv16.d)
+	{
+	  v = u * u;
+	  zz = u * v * (d3.d
+			+ v * (d5.d
+			       + v * (d7.d
+				      + v * (d9.d
+					     + v * (d11.d
+						    + v * d13.d)))));
+	  ESUB (hpi.d, u, t2, cor);
+	  t3 = ((hpi1.d + cor) - du) - zz;
+	  if ((z = t2 + (t3 - u2.d)) == t2 + (t3 + u2.d))
+	    return signArctan2 (y, z);
+
+	  MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
+	  s1 = v * (f11.d
+		    + v * (f13.d
+			   + v * (f15.d + v * (f17.d + v * f19.d))));
+	  ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
+	  SUB2 (hpi.d, hpi1.d, s1, ss1, s2, ss2, t1, t2);
+
+	  if ((z = s2 + (ss2 - u6.d)) == s2 + (ss2 + u6.d))
+	    return signArctan2 (y, z);
+	  return atan2Mp (x, y, pr);
+	}
+
+      i = (TWO52 + TWO8 * u) - TWO52;
+      i -= 16;
+      v = (u - cij[i][0].d) + du;
+
+      zz = hpi1.d - v * (cij[i][2].d
+			 + v * (cij[i][3].d
+				+ v * (cij[i][4].d
+				       + v * (cij[i][5].d
+					      + v * cij[i][6].d))));
+      t1 = hpi.d - cij[i][1].d;
+      if (i < 112)
+	ua = ua1.d;	/* w <  1/2 */
+      else
+	ua = ua2.d;	/* w >= 1/2 */
+      if ((z = t1 + (zz - ua)) == t1 + (zz + ua))
+	return signArctan2 (y, z);
+
+      t1 = u - hij[i][0].d;
+      EADD (t1, du, v, vv);
+
+      s1 = v * (hij[i][11].d
+		+ v * (hij[i][12].d
+		       + v * (hij[i][13].d
+			      + v * (hij[i][14].d
+				     + v * hij[i][15].d))));
+
+      ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
+      SUB2 (hpi.d, hpi1.d, s2, ss2, s1, ss1, t1, t2);
+
+      if ((z = s1 + (ss1 - uc.d)) == s1 + (ss1 + uc.d))
+	return signArctan2 (y, z);
+      return atan2Mp (x, y, pr);
     }
-  }
-  else {
-
-    /* (iii) x<0, abs(x)< abs(y):  pi/2+atan(ax/ay) */
-    if (ax<ay) {
-      if (u<inv16.d) {
-	v=u*u;
-	zz=u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
-	EADD(hpi.d,u,t2,cor)
-	t3=((hpi1.d+cor)+du)+zz;
-	if ((z=t2+(t3-u3.d)) == t2+(t3+u3.d))  return signArctan2(y,z);
-
-	MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
-	s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
-	ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
-	ADD2(hpi.d,hpi1.d,s1,ss1,s2,ss2,t1,t2)
-	if ((z=s2+(ss2-u7.d)) == s2+(ss2+u7.d))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
-      else {
-	i=(TWO52+TWO8*u)-TWO52;  i-=16;
-	v=(u-cij[i][0].d)+du;
-	zz=hpi1.d+v*(cij[i][2].d+v*(cij[i][3].d+v*(cij[i][4].d+
-				 v*(cij[i][5].d+v* cij[i][6].d))));
-	t1=hpi.d+cij[i][1].d;
-	if (i<112)  ua=ua1.d;  /* w <  1/2 */
-	else        ua=ua2.d;  /* w >= 1/2 */
-	if ((z=t1+(zz-ua)) == t1+(zz+ua))  return signArctan2(y,z);
-
-	t1=u-hij[i][0].d;
-	EADD(t1,du,v,vv)
-	s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
-	   v*(hij[i][14].d+v* hij[i][15].d))));
-	ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
-	ADD2(hpi.d,hpi1.d,s2,ss2,s1,ss1,t1,t2)
-	if ((z=s1+(ss1-uc.d)) == s1+(ss1+uc.d))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
+
+  /* (iii) x<0, abs(x)< abs(y):  pi/2+atan(ax/ay) */
+  if (ax < ay)
+    {
+      if (u < inv16.d)
+	{
+	  v = u * u;
+	  zz = u * v * (d3.d
+			+ v * (d5.d
+			       + v * (d7.d
+				      + v * (d9.d
+					     + v * (d11.d + v * d13.d)))));
+	  EADD (hpi.d, u, t2, cor);
+	  t3 = ((hpi1.d + cor) + du) + zz;
+	  if ((z = t2 + (t3 - u3.d)) == t2 + (t3 + u3.d))
+	    return signArctan2 (y, z);
+
+	  MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
+	  s1 = v * (f11.d
+		    + v * (f13.d + v * (f15.d + v * (f17.d + v * f19.d))));
+	  ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
+	  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
+	  ADD2 (hpi.d, hpi1.d, s1, ss1, s2, ss2, t1, t2);
+
+	  if ((z = s2 + (ss2 - u7.d)) == s2 + (ss2 + u7.d))
+	    return signArctan2 (y, z);
+	  return atan2Mp (x, y, pr);
+	}
+
+      i = (TWO52 + TWO8 * u) - TWO52;
+      i -= 16;
+      v = (u - cij[i][0].d) + du;
+      zz = hpi1.d + v * (cij[i][2].d
+			 + v * (cij[i][3].d
+				+ v * (cij[i][4].d
+				       + v * (cij[i][5].d
+					      + v * cij[i][6].d))));
+      t1 = hpi.d + cij[i][1].d;
+      if (i < 112)
+	ua = ua1.d;	/* w <  1/2 */
+      else
+	ua = ua2.d;	/* w >= 1/2 */
+      if ((z = t1 + (zz - ua)) == t1 + (zz + ua))
+	return signArctan2 (y, z);
+
+      t1 = u - hij[i][0].d;
+      EADD (t1, du, v, vv);
+      s1 = v * (hij[i][11].d
+		+ v * (hij[i][12].d
+		       + v * (hij[i][13].d
+			      + v * (hij[i][14].d
+				     + v * hij[i][15].d))));
+      ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
+      ADD2 (hpi.d, hpi1.d, s2, ss2, s1, ss1, t1, t2);
+
+      if ((z = s1 + (ss1 - uc.d)) == s1 + (ss1 + uc.d))
+	return signArctan2 (y, z);
+      return atan2Mp (x, y, pr);
     }
 
-    /* (iv)  x<0, abs(y)<=abs(x):  pi-atan(ax/ay) */
-    else {
-      if (u<inv16.d) {
-	v=u*u;
-	zz=u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
-	ESUB(opi.d,u,t2,cor)
-	t3=((opi1.d+cor)-du)-zz;
-	if ((z=t2+(t3-u4.d)) == t2+(t3+u4.d))  return signArctan2(y,z);
-
-	MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
-	s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
-	ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
-	SUB2(opi.d,opi1.d,s1,ss1,s2,ss2,t1,t2)
-	if ((z=s2+(ss2-u8.d)) == s2+(ss2+u8.d))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
-      else {
-	i=(TWO52+TWO8*u)-TWO52;  i-=16;
-	v=(u-cij[i][0].d)+du;
-	zz=opi1.d-v*(cij[i][2].d+v*(cij[i][3].d+v*(cij[i][4].d+
-				 v*(cij[i][5].d+v* cij[i][6].d))));
-	t1=opi.d-cij[i][1].d;
-	if (i<112)  ua=ua1.d;  /* w <  1/2 */
-	else        ua=ua2.d;  /* w >= 1/2 */
-	if ((z=t1+(zz-ua)) == t1+(zz+ua))  return signArctan2(y,z);
-
-	t1=u-hij[i][0].d;
-	EADD(t1,du,v,vv)
-	s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
-	   v*(hij[i][14].d+v* hij[i][15].d))));
-	ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
-	MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
-	ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
-	SUB2(opi.d,opi1.d,s2,ss2,s1,ss1,t1,t2)
-	if ((z=s1+(ss1-uc.d)) == s1+(ss1+uc.d))  return signArctan2(y,z);
-	return atan2Mp(x,y,pr);
-      }
+  /* (iv)  x<0, abs(y)<=abs(x):  pi-atan(ax/ay) */
+  if (u < inv16.d)
+    {
+      v = u * u;
+      zz = u * v * (d3.d
+		    + v * (d5.d
+			   + v * (d7.d
+				  + v * (d9.d + v * (d11.d + v * d13.d)))));
+      ESUB (opi.d, u, t2, cor);
+      t3 = ((opi1.d + cor) - du) - zz;
+      if ((z = t2 + (t3 - u4.d)) == t2 + (t3 + u4.d))
+	return signArctan2 (y, z);
+
+      MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
+      s1 = v * (f11.d + v * (f13.d + v * (f15.d + v * (f17.d + v * f19.d))));
+      ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
+      MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+      MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
+      SUB2 (opi.d, opi1.d, s1, ss1, s2, ss2, t1, t2);
+
+      if ((z = s2 + (ss2 - u8.d)) == s2 + (ss2 + u8.d))
+	return signArctan2 (y, z);
+      return atan2Mp (x, y, pr);
     }
-  }
+
+  i = (TWO52 + TWO8 * u) - TWO52;
+  i -= 16;
+  v = (u - cij[i][0].d) + du;
+  zz = opi1.d - v * (cij[i][2].d
+		     + v * (cij[i][3].d
+			    + v * (cij[i][4].d
+				   + v * (cij[i][5].d + v * cij[i][6].d))));
+  t1 = opi.d - cij[i][1].d;
+  if (i < 112)
+    ua = ua1.d;	/* w <  1/2 */
+  else
+    ua = ua2.d;	/* w >= 1/2 */
+  if ((z = t1 + (zz - ua)) == t1 + (zz + ua))
+    return signArctan2 (y, z);
+
+  t1 = u - hij[i][0].d;
+
+  EADD (t1, du, v, vv);
+
+  s1 = v * (hij[i][11].d
+	    + v * (hij[i][12].d
+		   + v * (hij[i][13].d
+			  + v * (hij[i][14].d + v * hij[i][15].d))));
+
+  ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
+  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+  ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
+  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+  ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
+  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+  ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
+  MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+  ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
+  SUB2 (opi.d, opi1.d, s2, ss2, s1, ss1, t1, t2);
+
+  if ((z = s1 + (ss1 - uc.d)) == s1 + (ss1 + uc.d))
+    return signArctan2 (y, z);
+  return atan2Mp (x, y, pr);
 }
+
 #ifndef __ieee754_atan2
 strong_alias (__ieee754_atan2, __atan2_finite)
 #endif
 
-  /* Treat the Denormalized case */
+/* Treat the Denormalized case */
 static double
 SECTION
-normalized(double ax,double ay,double y, double z)
-    { int p;
-      mp_no mpx,mpy,mpz,mperr,mpz2,mpt1;
-  p=6;
-  __dbl_mp(ax,&mpx,p);  __dbl_mp(ay,&mpy,p);  __dvd(&mpy,&mpx,&mpz,p);
-  __dbl_mp(ue.d,&mpt1,p);   __mul(&mpz,&mpt1,&mperr,p);
-  __sub(&mpz,&mperr,&mpz2,p);  __mp_dbl(&mpz2,&z,p);
-  return signArctan2(y,z);
+normalized (double ax, double ay, double y, double z)
+{
+  int p;
+  mp_no mpx, mpy, mpz, mperr, mpz2, mpt1;
+  p = 6;
+  __dbl_mp (ax, &mpx, p);
+  __dbl_mp (ay, &mpy, p);
+  __dvd (&mpy, &mpx, &mpz, p);
+  __dbl_mp (ue.d, &mpt1, p);
+  __mul (&mpz, &mpt1, &mperr, p);
+  __sub (&mpz, &mperr, &mpz2, p);
+  __mp_dbl (&mpz2, &z, p);
+  return signArctan2 (y, z);
 }
-  /* Stage 3: Perform a multi-Precision computation */
+
+/* Stage 3: Perform a multi-Precision computation */
 static double
 SECTION
-atan2Mp(double x,double y,const int pr[])
+atan2Mp (double x, double y, const int pr[])
 {
-  double z1,z2;
-  int i,p;
-  mp_no mpx,mpy,mpz,mpz1,mpz2,mperr,mpt1;
-  for (i=0; i<MM; i++) {
-    p = pr[i];
-    __dbl_mp(x,&mpx,p);  __dbl_mp(y,&mpy,p);
-    __mpatan2(&mpy,&mpx,&mpz,p);
-    __dbl_mp(ud[i].d,&mpt1,p);   __mul(&mpz,&mpt1,&mperr,p);
-    __add(&mpz,&mperr,&mpz1,p);  __sub(&mpz,&mperr,&mpz2,p);
-    __mp_dbl(&mpz1,&z1,p);       __mp_dbl(&mpz2,&z2,p);
-    if (z1==z2)   return z1;
-  }
-  return z1; /*if unpossible to do exact computing */
+  double z1, z2;
+  int i, p;
+  mp_no mpx, mpy, mpz, mpz1, mpz2, mperr, mpt1;
+  for (i = 0; i < MM; i++)
+    {
+      p = pr[i];
+      __dbl_mp (x, &mpx, p);
+      __dbl_mp (y, &mpy, p);
+      __mpatan2 (&mpy, &mpx, &mpz, p);
+      __dbl_mp (ud[i].d, &mpt1, p);
+      __mul (&mpz, &mpt1, &mperr, p);
+      __add (&mpz, &mperr, &mpz1, p);
+      __sub (&mpz, &mperr, &mpz2, p);
+      __mp_dbl (&mpz1, &z1, p);
+      __mp_dbl (&mpz2, &z2, p);
+      if (z1 == z2)
+	return z1;
+    }
+  return z1;			/*if impossible to do exact computing */
 }