Format s_tan.c

1 files changed, 728 insertions, 405 deletions

diff --git a/sysdeps/ieee754/dbl-64/s_tan.c b/sysdeps/ieee754/dbl-64/s_tan.c
index faa5221e5e..91fe2b85f7 100644
--- a/sysdeps/ieee754/dbl-64/s_tan.c
+++ b/sysdeps/ieee754/dbl-64/s_tan.c
@@ -46,459 +46,782 @@
 # define SECTION
 #endif
 
-static double tanMp(double);
-void __mptan(double, mp_no *, int);
+static double tanMp (double);
+void __mptan (double, mp_no *, int);
 
 double
 SECTION
-tan(double x) {
+tan (double x)
+{
 #include "utan.h"
 #include "utan.tbl"
 
-  int ux,i,n;
-  double a,da,a2,b,db,c,dc,c1,cc1,c2,cc2,c3,cc3,fi,ffi,gi,pz,s,sy,
-  t,t1,t2,t3,t4,t7,t8,t9,t10,w,x2,xn,xx2,y,ya,yya,z0,z,zz,z2,zz2;
+  int ux, i, n;
+  double a, da, a2, b, db, c, dc, c1, cc1, c2, cc2, c3, cc3, fi, ffi, gi, pz,
+    s, sy, t, t1, t2, t3, t4, t7, t8, t9, t10, w, x2, xn, xx2, y, ya, yya, z0,
+    z, zz, z2, zz2;
 #ifndef DLA_FMS
-  double t5,t6;
+  double t5, t6;
 #endif
   int p;
-  number num,v;
-  mp_no mpa,mpt1,mpt2;
+  number num, v;
+  mp_no mpa, mpt1, mpt2;
 
   double retval;
 
-  int __branred(double, double *, double *);
-  int __mpranred(double, mp_no *, int);
+  int __branred (double, double *, double *);
+  int __mpranred (double, mp_no *, int);
 
   SET_RESTORE_ROUND_53BIT (FE_TONEAREST);
 
   /* x=+-INF, x=NaN */
-  num.d = x;  ux = num.i[HIGH_HALF];
-  if ((ux&0x7ff00000)==0x7ff00000) {
-    if ((ux&0x7fffffff)==0x7ff00000)
-      __set_errno (EDOM);
-    retval = x-x;
-    goto ret;
-  }
+  num.d = x;
+  ux = num.i[HIGH_HALF];
+  if ((ux & 0x7ff00000) == 0x7ff00000)
+    {
+      if ((ux & 0x7fffffff) == 0x7ff00000)
+	__set_errno (EDOM);
+      retval = x - x;
+      goto ret;
+    }
 
-  w=(x<0.0) ? -x : x;
+  w = (x < 0.0) ? -x : x;
 
   /* (I) The case abs(x) <= 1.259e-8 */
-  if (w<=g1.d) { retval = x; goto ret; }
+  if (w <= g1.d)
+    {
+      retval = x;
+      goto ret;
+    }
 
   /* (II) The case 1.259e-8 < abs(x) <= 0.0608 */
-  if (w<=g2.d) {
-
-    /* First stage */
-    x2 = x*x;
-    t2 = x*x2*(d3.d+x2*(d5.d+x2*(d7.d+x2*(d9.d+x2*d11.d))));
-    if ((y=x+(t2-u1.d*t2)) == x+(t2+u1.d*t2)) { retval = y; goto ret; }
-
-    /* Second stage */
-    c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+
-	 x2*a27.d))))));
-    EMULV(x,x,x2,xx2,t1,t2,t3,t4,t5)
-    ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    MUL2(x ,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(x    ,0.0,c2,cc2,c1,cc1,t1,t2)
-    if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) { retval = y; goto ret; }
-    retval = tanMp(x);
-    goto ret;
-  }
+  if (w <= g2.d)
+    {
 
-  /* (III) The case 0.0608 < abs(x) <= 0.787 */
-  if (w<=g3.d) {
-
-    /* First stage */
-    i = ((int) (mfftnhf.d+TWO8*w));
-    z = w-xfg[i][0].d;  z2 = z*z;   s = (x<0.0) ? MONE : ONE;
-    pz = z+z*z2*(e0.d+z2*e1.d);
-    fi = xfg[i][1].d;   gi = xfg[i][2].d;   t2 = pz*(gi+fi)/(gi-pz);
-    if ((y=fi+(t2-fi*u3.d))==fi+(t2+fi*u3.d)) { retval = (s*y); goto ret; }
-    t3 = (t2<0.0) ? -t2 : t2;
-    t4 = fi*ua3.d+t3*ub3.d;
-    if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (s*y); goto ret; }
-
-    /* Second stage */
-    ffi = xfg[i][3].d;
-    c1 = z2*(a7.d+z2*(a9.d+z2*a11.d));
-    EMULV(z,z,z2,zz2,t1,t2,t3,t4,t5)
-    ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2)
-    MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2)
-    MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    MUL2(z ,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(z ,0.0,c2,cc2,c1,cc1,t1,t2)
-
-    ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2)
-    MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8)
-    SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2)
-    DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-
-      if ((y=c3+(cc3-u4.d*c3))==c3+(cc3+u4.d*c3)) { retval = (s*y); goto ret; }
-    retval = tanMp(x);
-    goto ret;
-  }
+      /* First stage */
+      x2 = x * x;
 
-  /* (---) The case 0.787 < abs(x) <= 25 */
-  if (w<=g4.d) {
-    /* Range reduction by algorithm i */
-    t = (x*hpinv.d + toint.d);
-    xn = t - toint.d;
-    v.d = t;
-    t1 = (x - xn*mp1.d) - xn*mp2.d;
-    n =v.i[LOW_HALF] & 0x00000001;
-    da = xn*mp3.d;
-    a=t1-da;
-    da = (t1-a)-da;
-    if (a<0.0)  {ya=-a;  yya=-da;  sy=MONE;}
-    else         {ya= a;  yya= da;  sy= ONE;}
-
-    /* (IV),(V) The case 0.787 < abs(x) <= 25,    abs(y) <= 1e-7 */
-    if (ya<=gy1.d) { retval = tanMp(x); goto ret; }
-
-    /* (VI) The case 0.787 < abs(x) <= 25,    1e-7 < abs(y) <= 0.0608 */
-    if (ya<=gy2.d) {
-      a2 = a*a;
-      t2 = da+a*a2*(d3.d+a2*(d5.d+a2*(d7.d+a2*(d9.d+a2*d11.d))));
-      if (n) {
-	/* First stage -cot */
-	EADD(a,t2,b,db)
-	DIV2(1.0,0.0,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-	if ((y=c+(dc-u6.d*c))==c+(dc+u6.d*c)) { retval = (-y); goto ret; } }
-      else {
-	/* First stage tan */
-	if ((y=a+(t2-u5.d*a))==a+(t2+u5.d*a)) { retval = y; goto ret; } }
-      /* Second stage */
-      /* Range reduction by algorithm ii */
-      t = (x*hpinv.d + toint.d);
-      xn = t - toint.d;
-      v.d = t;
-      t1 = (x - xn*mp1.d) - xn*mp2.d;
-      n =v.i[LOW_HALF] & 0x00000001;
-      da = xn*pp3.d;
-      t=t1-da;
-      da = (t1-t)-da;
-      t1 = xn*pp4.d;
-      a = t - t1;
-      da = ((t-a)-t1)+da;
+      t2 = d9.d + x2 * d11.d;
+      t2 = d7.d + x2 * t2;
+      t2 = d5.d + x2 * t2;
+      t2 = d3.d + x2 * t2;
+      t2 *= x * x2;
+
+      if ((y = x + (t2 - u1.d * t2)) == x + (t2 + u1.d * t2))
+	{
+	  retval = y;
+	  goto ret;
+	}
 
       /* Second stage */
-      EADD(a,da,t1,t2)   a=t1;  da=t2;
-      MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8)
-      c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+
-	   x2*a27.d))))));
-      ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      MUL2(a ,da ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a  ,da  ,c2,cc2,c1,cc1,t1,t2)
-
-      if (n) {
-	/* Second stage -cot */
-	DIV2(1.0,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-	if ((y=c2+(cc2-u8.d*c2)) == c2+(cc2+u8.d*c2)) { retval = (-y); goto ret; } }
-      else {
-	/* Second stage tan */
-	if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) { retval = y; goto ret; } }
-      retval = tanMp(x);
+      c1 = a25.d + x2 * a27.d;
+      c1 = a23.d + x2 * c1;
+      c1 = a21.d + x2 * c1;
+      c1 = a19.d + x2 * c1;
+      c1 = a17.d + x2 * c1;
+      c1 = a15.d + x2 * c1;
+      c1 *= x2;
+
+      EMULV (x, x, x2, xx2, t1, t2, t3, t4, t5);
+      ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      MUL2 (x, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (x, 0.0, c2, cc2, c1, cc1, t1, t2);
+      if ((y = c1 + (cc1 - u2.d * c1)) == c1 + (cc1 + u2.d * c1))
+	{
+	  retval = y;
+	  goto ret;
+	}
+      retval = tanMp (x);
       goto ret;
     }
 
-    /* (VII) The case 0.787 < abs(x) <= 25,    0.0608 < abs(y) <= 0.787 */
+  /* (III) The case 0.0608 < abs(x) <= 0.787 */
+  if (w <= g3.d)
+    {
+
+      /* First stage */
+      i = ((int) (mfftnhf.d + TWO8 * w));
+      z = w - xfg[i][0].d;
+      z2 = z * z;
+      s = (x < 0.0) ? MONE : ONE;
+      pz = z + z * z2 * (e0.d + z2 * e1.d);
+      fi = xfg[i][1].d;
+      gi = xfg[i][2].d;
+      t2 = pz * (gi + fi) / (gi - pz);
+      if ((y = fi + (t2 - fi * u3.d)) == fi + (t2 + fi * u3.d))
+	{
+	  retval = (s * y);
+	  goto ret;
+	}
+      t3 = (t2 < 0.0) ? -t2 : t2;
+      t4 = fi * ua3.d + t3 * ub3.d;
+      if ((y = fi + (t2 - t4)) == fi + (t2 + t4))
+	{
+	  retval = (s * y);
+	  goto ret;
+	}
 
-    /* First stage */
-    i = ((int) (mfftnhf.d+TWO8*ya));
-    z = (z0=(ya-xfg[i][0].d))+yya;  z2 = z*z;
-    pz = z+z*z2*(e0.d+z2*e1.d);
-    fi = xfg[i][1].d;   gi = xfg[i][2].d;
+      /* Second stage */
+      ffi = xfg[i][3].d;
+      c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d));
+      EMULV (z, z, z2, zz2, t1, t2, t3, t4, t5);
+      ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2);
+      MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      MUL2 (z, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (z, 0.0, c2, cc2, c1, cc1, t1, t2);
+
+      ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8);
+      SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2);
+      DIV2 (c2, cc2, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+	    t10);
+
+      if ((y = c3 + (cc3 - u4.d * c3)) == c3 + (cc3 + u4.d * c3))
+	{
+	  retval = (s * y);
+	  goto ret;
+	}
+      retval = tanMp (x);
+      goto ret;
+    }
 
-    if (n) {
-      /* -cot */
-      t2 = pz*(fi+gi)/(fi+pz);
-      if ((y=gi-(t2-gi*u10.d))==gi-(t2+gi*u10.d)) { retval = (-sy*y); goto ret; }
-      t3 = (t2<0.0) ? -t2 : t2;
-      t4 = gi*ua10.d+t3*ub10.d;
-      if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } }
-    else   {
-      /* tan */
-      t2 = pz*(gi+fi)/(gi-pz);
-      if ((y=fi+(t2-fi*u9.d))==fi+(t2+fi*u9.d)) { retval = (sy*y); goto ret; }
-      t3 = (t2<0.0) ? -t2 : t2;
-      t4 = fi*ua9.d+t3*ub9.d;
-      if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } }
-
-    /* Second stage */
-    ffi = xfg[i][3].d;
-    EADD(z0,yya,z,zz)
-    MUL2(z,zz,z,zz,z2,zz2,t1,t2,t3,t4,t5,t6,t7,t8)
-    c1 = z2*(a7.d+z2*(a9.d+z2*a11.d));
-    ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2)
-    MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2)
-    MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    MUL2(z ,zz ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(z ,zz ,c2,cc2,c1,cc1,t1,t2)
-
-    ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2)
-    MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8)
-    SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2)
-
-    if (n) {
-      /* -cot */
-      DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-      if ((y=c3+(cc3-u12.d*c3))==c3+(cc3+u12.d*c3)) { retval = (-sy*y); goto ret; } }
-    else {
-      /* tan */
-      DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-      if ((y=c3+(cc3-u11.d*c3))==c3+(cc3+u11.d*c3)) { retval = (sy*y); goto ret; } }
+  /* (---) The case 0.787 < abs(x) <= 25 */
+  if (w <= g4.d)
+    {
+      /* Range reduction by algorithm i */
+      t = (x * hpinv.d + toint.d);
+      xn = t - toint.d;
+      v.d = t;
+      t1 = (x - xn * mp1.d) - xn * mp2.d;
+      n = v.i[LOW_HALF] & 0x00000001;
+      da = xn * mp3.d;
+      a = t1 - da;
+      da = (t1 - a) - da;
+      if (a < 0.0)
+	{
+	  ya = -a;
+	  yya = -da;
+	  sy = MONE;
+	}
+      else
+	{
+	  ya = a;
+	  yya = da;
+	  sy = ONE;
+	}
+
+      /* (IV),(V) The case 0.787 < abs(x) <= 25,    abs(y) <= 1e-7 */
+      if (ya <= gy1.d)
+	{
+	  retval = tanMp (x);
+	  goto ret;
+	}
+
+      /* (VI) The case 0.787 < abs(x) <= 25,    1e-7 < abs(y) <= 0.0608 */
+      if (ya <= gy2.d)
+	{
+	  a2 = a * a;
+	  t2 = d9.d + a2 * d11.d;
+	  t2 = d7.d + a2 * t2;
+	  t2 = d5.d + a2 * t2;
+	  t2 = d3.d + a2 * t2;
+	  t2 = da + a * a2 * t2;
+
+	  if (n)
+	    {
+	      /* First stage -cot */
+	      EADD (a, t2, b, db);
+	      DIV2 (1.0, 0.0, b, db, c, dc, t1, t2, t3, t4, t5, t6, t7, t8,
+		    t9, t10);
+	      if ((y = c + (dc - u6.d * c)) == c + (dc + u6.d * c))
+		{
+		  retval = (-y);
+		  goto ret;
+		}
+	    }
+	  else
+	    {
+	      /* First stage tan */
+	      if ((y = a + (t2 - u5.d * a)) == a + (t2 + u5.d * a))
+		{
+		  retval = y;
+		  goto ret;
+		}
+	    }
+	  /* Second stage */
+	  /* Range reduction by algorithm ii */
+	  t = (x * hpinv.d + toint.d);
+	  xn = t - toint.d;
+	  v.d = t;
+	  t1 = (x - xn * mp1.d) - xn * mp2.d;
+	  n = v.i[LOW_HALF] & 0x00000001;
+	  da = xn * pp3.d;
+	  t = t1 - da;
+	  da = (t1 - t) - da;
+	  t1 = xn * pp4.d;
+	  a = t - t1;
+	  da = ((t - a) - t1) + da;
+
+	  /* Second stage */
+	  EADD (a, da, t1, t2);
+	  a = t1;
+	  da = t2;
+	  MUL2 (a, da, a, da, x2, xx2, t1, t2, t3, t4, t5, t6, t7, t8);
+
+	  c1 = a25.d + x2 * a27.d;
+	  c1 = a23.d + x2 * c1;
+	  c1 = a21.d + x2 * c1;
+	  c1 = a19.d + x2 * c1;
+	  c1 = a17.d + x2 * c1;
+	  c1 = a15.d + x2 * c1;
+	  c1 *= x2;
+
+	  ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  MUL2 (a, da, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a, da, c2, cc2, c1, cc1, t1, t2);
+
+	  if (n)
+	    {
+	      /* Second stage -cot */
+	      DIV2 (1.0, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7,
+		    t8, t9, t10);
+	      if ((y = c2 + (cc2 - u8.d * c2)) == c2 + (cc2 + u8.d * c2))
+		{
+		  retval = (-y);
+		  goto ret;
+		}
+	    }
+	  else
+	    {
+	      /* Second stage tan */
+	      if ((y = c1 + (cc1 - u7.d * c1)) == c1 + (cc1 + u7.d * c1))
+		{
+		  retval = y;
+		  goto ret;
+		}
+	    }
+	  retval = tanMp (x);
+	  goto ret;
+	}
+
+      /* (VII) The case 0.787 < abs(x) <= 25,    0.0608 < abs(y) <= 0.787 */
+
+      /* First stage */
+      i = ((int) (mfftnhf.d + TWO8 * ya));
+      z = (z0 = (ya - xfg[i][0].d)) + yya;
+      z2 = z * z;
+      pz = z + z * z2 * (e0.d + z2 * e1.d);
+      fi = xfg[i][1].d;
+      gi = xfg[i][2].d;
+
+      if (n)
+	{
+	  /* -cot */
+	  t2 = pz * (fi + gi) / (fi + pz);
+	  if ((y = gi - (t2 - gi * u10.d)) == gi - (t2 + gi * u10.d))
+	    {
+	      retval = (-sy * y);
+	      goto ret;
+	    }
+	  t3 = (t2 < 0.0) ? -t2 : t2;
+	  t4 = gi * ua10.d + t3 * ub10.d;
+	  if ((y = gi - (t2 - t4)) == gi - (t2 + t4))
+	    {
+	      retval = (-sy * y);
+	      goto ret;
+	    }
+	}
+      else
+	{
+	  /* tan */
+	  t2 = pz * (gi + fi) / (gi - pz);
+	  if ((y = fi + (t2 - fi * u9.d)) == fi + (t2 + fi * u9.d))
+	    {
+	      retval = (sy * y);
+	      goto ret;
+	    }
+	  t3 = (t2 < 0.0) ? -t2 : t2;
+	  t4 = fi * ua9.d + t3 * ub9.d;
+	  if ((y = fi + (t2 - t4)) == fi + (t2 + t4))
+	    {
+	      retval = (sy * y);
+	      goto ret;
+	    }
+	}
 
-    retval = tanMp(x);
-    goto ret;
-  }
+      /* Second stage */
+      ffi = xfg[i][3].d;
+      EADD (z0, yya, z, zz)
+	MUL2 (z, zz, z, zz, z2, zz2, t1, t2, t3, t4, t5, t6, t7, t8);
+      c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d));
+      ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2);
+      MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      MUL2 (z, zz, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (z, zz, c2, cc2, c1, cc1, t1, t2);
+
+      ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8);
+      SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2);
+
+      if (n)
+	{
+	  /* -cot */
+	  DIV2 (c1, cc1, c2, cc2, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+		t10);
+	  if ((y = c3 + (cc3 - u12.d * c3)) == c3 + (cc3 + u12.d * c3))
+	    {
+	      retval = (-sy * y);
+	      goto ret;
+	    }
+	}
+      else
+	{
+	  /* tan */
+	  DIV2 (c2, cc2, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+		t10);
+	  if ((y = c3 + (cc3 - u11.d * c3)) == c3 + (cc3 + u11.d * c3))
+	    {
+	      retval = (sy * y);
+	      goto ret;
+	    }
+	}
+
+      retval = tanMp (x);
+      goto ret;
+    }
 
   /* (---) The case 25 < abs(x) <= 1e8 */
-  if (w<=g5.d) {
-    /* Range reduction by algorithm ii */
-    t = (x*hpinv.d + toint.d);
-    xn = t - toint.d;
-    v.d = t;
-    t1 = (x - xn*mp1.d) - xn*mp2.d;
-    n =v.i[LOW_HALF] & 0x00000001;
-    da = xn*pp3.d;
-    t=t1-da;
-    da = (t1-t)-da;
-    t1 = xn*pp4.d;
-    a = t - t1;
-    da = ((t-a)-t1)+da;
-    EADD(a,da,t1,t2)   a=t1;  da=t2;
-    if (a<0.0)  {ya=-a;  yya=-da;  sy=MONE;}
-    else         {ya= a;  yya= da;  sy= ONE;}
-
-    /* (+++) The case 25 < abs(x) <= 1e8,    abs(y) <= 1e-7 */
-    if (ya<=gy1.d) { retval = tanMp(x); goto ret; }
-
-    /* (VIII) The case 25 < abs(x) <= 1e8,    1e-7 < abs(y) <= 0.0608 */
-    if (ya<=gy2.d) {
-      a2 = a*a;
-      t2 = da+a*a2*(d3.d+a2*(d5.d+a2*(d7.d+a2*(d9.d+a2*d11.d))));
-      if (n) {
-	/* First stage -cot */
-	EADD(a,t2,b,db)
-	DIV2(1.0,0.0,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-	if ((y=c+(dc-u14.d*c))==c+(dc+u14.d*c)) { retval = (-y); goto ret; } }
-      else {
-	/* First stage tan */
-	if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) { retval = y; goto ret; } }
+  if (w <= g5.d)
+    {
+      /* Range reduction by algorithm ii */
+      t = (x * hpinv.d + toint.d);
+      xn = t - toint.d;
+      v.d = t;
+      t1 = (x - xn * mp1.d) - xn * mp2.d;
+      n = v.i[LOW_HALF] & 0x00000001;
+      da = xn * pp3.d;
+      t = t1 - da;
+      da = (t1 - t) - da;
+      t1 = xn * pp4.d;
+      a = t - t1;
+      da = ((t - a) - t1) + da;
+      EADD (a, da, t1, t2);
+      a = t1;
+      da = t2;
+      if (a < 0.0)
+	{
+	  ya = -a;
+	  yya = -da;
+	  sy = MONE;
+	}
+      else
+	{
+	  ya = a;
+	  yya = da;
+	  sy = ONE;
+	}
+
+      /* (+++) The case 25 < abs(x) <= 1e8,    abs(y) <= 1e-7 */
+      if (ya <= gy1.d)
+	{
+	  retval = tanMp (x);
+	  goto ret;
+	}
+
+      /* (VIII) The case 25 < abs(x) <= 1e8,    1e-7 < abs(y) <= 0.0608 */
+      if (ya <= gy2.d)
+	{
+	  a2 = a * a;
+	  t2 = d9.d + a2 * d11.d;
+	  t2 = d7.d + a2 * t2;
+	  t2 = d5.d + a2 * t2;
+	  t2 = d3.d + a2 * t2;
+	  t2 = da + a * a2 * t2;
+
+	  if (n)
+	    {
+	      /* First stage -cot */
+	      EADD (a, t2, b, db);
+	      DIV2 (1.0, 0.0, b, db, c, dc, t1, t2, t3, t4, t5, t6, t7, t8,
+		    t9, t10);
+	      if ((y = c + (dc - u14.d * c)) == c + (dc + u14.d * c))
+		{
+		  retval = (-y);
+		  goto ret;
+		}
+	    }
+	  else
+	    {
+	      /* First stage tan */
+	      if ((y = a + (t2 - u13.d * a)) == a + (t2 + u13.d * a))
+		{
+		  retval = y;
+		  goto ret;
+		}
+	    }
+
+	  /* Second stage */
+	  MUL2 (a, da, a, da, x2, xx2, t1, t2, t3, t4, t5, t6, t7, t8);
+	  c1 = a25.d + x2 * a27.d;
+	  c1 = a23.d + x2 * c1;
+	  c1 = a21.d + x2 * c1;
+	  c1 = a19.d + x2 * c1;
+	  c1 = a17.d + x2 * c1;
+	  c1 = a15.d + x2 * c1;
+	  c1 *= x2;
+
+	  ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+	  MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+	  MUL2 (a, da, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+	  ADD2 (a, da, c2, cc2, c1, cc1, t1, t2);
+
+	  if (n)
+	    {
+	      /* Second stage -cot */
+	      DIV2 (1.0, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7,
+		    t8, t9, t10);
+	      if ((y = c2 + (cc2 - u16.d * c2)) == c2 + (cc2 + u16.d * c2))
+		{
+		  retval = (-y);
+		  goto ret;
+		}
+	    }
+	  else
+	    {
+	      /* Second stage tan */
+	      if ((y = c1 + (cc1 - u15.d * c1)) == c1 + (cc1 + u15.d * c1))
+		{
+		  retval = (y);
+		  goto ret;
+		}
+	    }
+	  retval = tanMp (x);
+	  goto ret;
+	}
+
+      /* (IX) The case 25 < abs(x) <= 1e8,    0.0608 < abs(y) <= 0.787 */
+      /* First stage */
+      i = ((int) (mfftnhf.d + TWO8 * ya));
+      z = (z0 = (ya - xfg[i][0].d)) + yya;
+      z2 = z * z;
+      pz = z + z * z2 * (e0.d + z2 * e1.d);
+      fi = xfg[i][1].d;
+      gi = xfg[i][2].d;
+
+      if (n)
+	{
+	  /* -cot */
+	  t2 = pz * (fi + gi) / (fi + pz);
+	  if ((y = gi - (t2 - gi * u18.d)) == gi - (t2 + gi * u18.d))
+	    {
+	      retval = (-sy * y);
+	      goto ret;
+	    }
+	  t3 = (t2 < 0.0) ? -t2 : t2;
+	  t4 = gi * ua18.d + t3 * ub18.d;
+	  if ((y = gi - (t2 - t4)) == gi - (t2 + t4))
+	    {
+	      retval = (-sy * y);
+	      goto ret;
+	    }
+	}
+      else
+	{
+	  /* tan */
+	  t2 = pz * (gi + fi) / (gi - pz);
+	  if ((y = fi + (t2 - fi * u17.d)) == fi + (t2 + fi * u17.d))
+	    {
+	      retval = (sy * y);
+	      goto ret;
+	    }
+	  t3 = (t2 < 0.0) ? -t2 : t2;
+	  t4 = fi * ua17.d + t3 * ub17.d;
+	  if ((y = fi + (t2 - t4)) == fi + (t2 + t4))
+	    {
+	      retval = (sy * y);
+	      goto ret;
+	    }
+	}
 
       /* Second stage */
-      MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8)
-      c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+
-	   x2*a27.d))))));
-      ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2)
-      MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-      MUL2(a ,da ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-      ADD2(a  ,da  ,c2,cc2,c1,cc1,t1,t2)
-
-      if (n) {
-	/* Second stage -cot */
-	DIV2(1.0,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-	if ((y=c2+(cc2-u16.d*c2)) == c2+(cc2+u16.d*c2)) { retval = (-y); goto ret; } }
-      else {
-	/* Second stage tan */
-	if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) { retval = (y); goto ret; } }
-      retval = tanMp(x);
+      ffi = xfg[i][3].d;
+      EADD (z0, yya, z, zz);
+      MUL2 (z, zz, z, zz, z2, zz2, t1, t2, t3, t4, t5, t6, t7, t8);
+      c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d));
+      ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2);
+      MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      MUL2 (z, zz, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (z, zz, c2, cc2, c1, cc1, t1, t2);
+
+      ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8);
+      SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2);
+
+      if (n)
+	{
+	  /* -cot */
+	  DIV2 (c1, cc1, c2, cc2, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+		t10);
+	  if ((y = c3 + (cc3 - u20.d * c3)) == c3 + (cc3 + u20.d * c3))
+	    {
+	      retval = (-sy * y);
+	      goto ret;
+	    }
+	}
+      else
+	{
+	  /* tan */
+	  DIV2 (c2, cc2, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+		t10);
+	  if ((y = c3 + (cc3 - u19.d * c3)) == c3 + (cc3 + u19.d * c3))
+	    {
+	      retval = (sy * y);
+	      goto ret;
+	    }
+	}
+      retval = tanMp (x);
       goto ret;
     }
 
-    /* (IX) The case 25 < abs(x) <= 1e8,    0.0608 < abs(y) <= 0.787 */
-    /* First stage */
-    i = ((int) (mfftnhf.d+TWO8*ya));
-    z = (z0=(ya-xfg[i][0].d))+yya;  z2 = z*z;
-    pz = z+z*z2*(e0.d+z2*e1.d);
-    fi = xfg[i][1].d;   gi = xfg[i][2].d;
-
-    if (n) {
-      /* -cot */
-      t2 = pz*(fi+gi)/(fi+pz);
-      if ((y=gi-(t2-gi*u18.d))==gi-(t2+gi*u18.d)) { retval = (-sy*y); goto ret; }
-      t3 = (t2<0.0) ? -t2 : t2;
-      t4 = gi*ua18.d+t3*ub18.d;
-      if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } }
-    else   {
-      /* tan */
-      t2 = pz*(gi+fi)/(gi-pz);
-      if ((y=fi+(t2-fi*u17.d))==fi+(t2+fi*u17.d)) { retval = (sy*y); goto ret; }
-      t3 = (t2<0.0) ? -t2 : t2;
-      t4 = fi*ua17.d+t3*ub17.d;
-      if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } }
-
-    /* Second stage */
-    ffi = xfg[i][3].d;
-    EADD(z0,yya,z,zz)
-    MUL2(z,zz,z,zz,z2,zz2,t1,t2,t3,t4,t5,t6,t7,t8)
-    c1 = z2*(a7.d+z2*(a9.d+z2*a11.d));
-    ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2)
-    MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2)
-    MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    MUL2(z ,zz ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(z ,zz ,c2,cc2,c1,cc1,t1,t2)
-
-    ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2)
-    MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8)
-    SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2)
-
-    if (n) {
-      /* -cot */
-      DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-      if ((y=c3+(cc3-u20.d*c3))==c3+(cc3+u20.d*c3)) { retval = (-sy*y); goto ret; } }
-    else {
-      /* tan */
-      DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-      if ((y=c3+(cc3-u19.d*c3))==c3+(cc3+u19.d*c3)) { retval = (sy*y); goto ret; } }
-    retval = tanMp(x);
-    goto ret;
-  }
-
   /* (---) The case 1e8 < abs(x) < 2**1024 */
   /* Range reduction by algorithm iii */
-  n = (__branred(x,&a,&da)) & 0x00000001;
-  EADD(a,da,t1,t2)   a=t1;  da=t2;
-  if (a<0.0)  {ya=-a;  yya=-da;  sy=MONE;}
-  else         {ya= a;  yya= da;  sy= ONE;}
+  n = (__branred (x, &a, &da)) & 0x00000001;
+  EADD (a, da, t1, t2);
+  a = t1;
+  da = t2;
+  if (a < 0.0)
+    {
+      ya = -a;
+      yya = -da;
+      sy = MONE;
+    }
+  else
+    {
+      ya = a;
+      yya = da;
+      sy = ONE;
+    }
 
   /* (+++) The case 1e8 < abs(x) < 2**1024,    abs(y) <= 1e-7 */
-  if (ya<=gy1.d) { retval = tanMp(x); goto ret; }
+  if (ya <= gy1.d)
+    {
+      retval = tanMp (x);
+      goto ret;
+    }
 
   /* (X) The case 1e8 < abs(x) < 2**1024,    1e-7 < abs(y) <= 0.0608 */
-  if (ya<=gy2.d) {
-    a2 = a*a;
-    t2 = da+a*a2*(d3.d+a2*(d5.d+a2*(d7.d+a2*(d9.d+a2*d11.d))));
-    if (n) {
-      /* First stage -cot */
-      EADD(a,t2,b,db)
-      DIV2(1.0,0.0,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-      if ((y=c+(dc-u22.d*c))==c+(dc+u22.d*c)) { retval = (-y); goto ret; } }
-    else {
-      /* First stage tan */
-      if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) { retval = y; goto ret; } }
-
-    /* Second stage */
-    /* Reduction by algorithm iv */
-    p=10;    n = (__mpranred(x,&mpa,p)) & 0x00000001;
-    __mp_dbl(&mpa,&a,p);        __dbl_mp(a,&mpt1,p);
-    __sub(&mpa,&mpt1,&mpt2,p);  __mp_dbl(&mpt2,&da,p);
-
-    MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8)
-    c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+
-	 x2*a27.d))))));
-    ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2)
-    MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-    MUL2(a ,da ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-    ADD2(a    ,da    ,c2,cc2,c1,cc1,t1,t2)
-
-    if (n) {
-      /* Second stage -cot */
-      DIV2(1.0,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-      if ((y=c2+(cc2-u24.d*c2)) == c2+(cc2+u24.d*c2)) { retval = (-y); goto ret; } }
-    else {
-      /* Second stage tan */
-      if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) { retval = y; goto ret; } }
-    retval = tanMp(x);
-    goto ret;
-  }
+  if (ya <= gy2.d)
+    {
+      a2 = a * a;
+      t2 = d9.d + a2 * d11.d;
+      t2 = d7.d + a2 * t2;
+      t2 = d5.d + a2 * t2;
+      t2 = d3.d + a2 * t2;
+      t2 = da + a * a2 * t2;
+      if (n)
+	{
+	  /* First stage -cot */
+	  EADD (a, t2, b, db);
+	  DIV2 (1.0, 0.0, b, db, c, dc, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+		t10);
+	  if ((y = c + (dc - u22.d * c)) == c + (dc + u22.d * c))
+	    {
+	      retval = (-y);
+	      goto ret;
+	    }
+	}
+      else
+	{
+	  /* First stage tan */
+	  if ((y = a + (t2 - u21.d * a)) == a + (t2 + u21.d * a))
+	    {
+	      retval = y;
+	      goto ret;
+	    }
+	}
+
+      /* Second stage */
+      /* Reduction by algorithm iv */
+      p = 10;
+      n = (__mpranred (x, &mpa, p)) & 0x00000001;
+      __mp_dbl (&mpa, &a, p);
+      __dbl_mp (a, &mpt1, p);
+      __sub (&mpa, &mpt1, &mpt2, p);
+      __mp_dbl (&mpt2, &da, p);
+
+      MUL2 (a, da, a, da, x2, xx2, t1, t2, t3, t4, t5, t6, t7, t8);
+
+      c1 = a25.d + x2 * a27.d;
+      c1 = a23.d + x2 * c1;
+      c1 = a21.d + x2 * c1;
+      c1 = a19.d + x2 * c1;
+      c1 = a17.d + x2 * c1;
+      c1 = a15.d + x2 * c1;
+      c1 *= x2;
+
+      ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+      MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+      MUL2 (a, da, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+      ADD2 (a, da, c2, cc2, c1, cc1, t1, t2);
+
+      if (n)
+	{
+	  /* Second stage -cot */
+	  DIV2 (1.0, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8,
+		t9, t10);
+	  if ((y = c2 + (cc2 - u24.d * c2)) == c2 + (cc2 + u24.d * c2))
+	    {
+	      retval = (-y);
+	      goto ret;
+	    }
+	}
+      else
+	{
+	  /* Second stage tan */
+	  if ((y = c1 + (cc1 - u23.d * c1)) == c1 + (cc1 + u23.d * c1))
+	    {
+	      retval = y;
+	      goto ret;
+	    }
+	}
+      retval = tanMp (x);
+      goto ret;
+    }
 
   /* (XI) The case 1e8 < abs(x) < 2**1024,    0.0608 < abs(y) <= 0.787 */
   /* First stage */
-  i = ((int) (mfftnhf.d+TWO8*ya));
-  z = (z0=(ya-xfg[i][0].d))+yya;  z2 = z*z;
-  pz = z+z*z2*(e0.d+z2*e1.d);
-  fi = xfg[i][1].d;   gi = xfg[i][2].d;
-
-  if (n) {
-    /* -cot */
-    t2 = pz*(fi+gi)/(fi+pz);
-    if ((y=gi-(t2-gi*u26.d))==gi-(t2+gi*u26.d)) { retval = (-sy*y); goto ret; }
-    t3 = (t2<0.0) ? -t2 : t2;
-    t4 = gi*ua26.d+t3*ub26.d;
-    if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } }
-  else   {
-    /* tan */
-    t2 = pz*(gi+fi)/(gi-pz);
-    if ((y=fi+(t2-fi*u25.d))==fi+(t2+fi*u25.d)) { retval = (sy*y); goto ret; }
-    t3 = (t2<0.0) ? -t2 : t2;
-    t4 = fi*ua25.d+t3*ub25.d;
-    if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } }
+  i = ((int) (mfftnhf.d + TWO8 * ya));
+  z = (z0 = (ya - xfg[i][0].d)) + yya;
+  z2 = z * z;
+  pz = z + z * z2 * (e0.d + z2 * e1.d);
+  fi = xfg[i][1].d;
+  gi = xfg[i][2].d;
+
+  if (n)
+    {
+      /* -cot */
+      t2 = pz * (fi + gi) / (fi + pz);
+      if ((y = gi - (t2 - gi * u26.d)) == gi - (t2 + gi * u26.d))
+	{
+	  retval = (-sy * y);
+	  goto ret;
+	}
+      t3 = (t2 < 0.0) ? -t2 : t2;
+      t4 = gi * ua26.d + t3 * ub26.d;
+      if ((y = gi - (t2 - t4)) == gi - (t2 + t4))
+	{
+	  retval = (-sy * y);
+	  goto ret;
+	}
+    }
+  else
+    {
+      /* tan */
+      t2 = pz * (gi + fi) / (gi - pz);
+      if ((y = fi + (t2 - fi * u25.d)) == fi + (t2 + fi * u25.d))
+	{
+	  retval = (sy * y);
+	  goto ret;
+	}
+      t3 = (t2 < 0.0) ? -t2 : t2;
+      t4 = fi * ua25.d + t3 * ub25.d;
+      if ((y = fi + (t2 - t4)) == fi + (t2 + t4))
+	{
+	  retval = (sy * y);
+	  goto ret;
+	}
+    }
 
   /* Second stage */
   ffi = xfg[i][3].d;
-  EADD(z0,yya,z,zz)
-  MUL2(z,zz,z,zz,z2,zz2,t1,t2,t3,t4,t5,t6,t7,t8)
-  c1 = z2*(a7.d+z2*(a9.d+z2*a11.d));
-  ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2)
-  MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-  ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2)
-  MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8)
-  MUL2(z ,zz ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
-  ADD2(z ,zz ,c2,cc2,c1,cc1,t1,t2)
-
-  ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2)
-  MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8)
-  SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2)
-
-  if (n) {
-    /* -cot */
-    DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-    if ((y=c3+(cc3-u28.d*c3))==c3+(cc3+u28.d*c3)) { retval = (-sy*y); goto ret; } }
-  else {
-    /* tan */
-    DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10)
-    if ((y=c3+(cc3-u27.d*c3))==c3+(cc3+u27.d*c3)) { retval = (sy*y); goto ret; } }
-  retval = tanMp(x);
+  EADD (z0, yya, z, zz);
+  MUL2 (z, zz, z, zz, z2, zz2, t1, t2, t3, t4, t5, t6, t7, t8);
+  c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d));
+  ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2);
+  MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+  ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2);
+  MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8);
+  MUL2 (z, zz, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8);
+  ADD2 (z, zz, c2, cc2, c1, cc1, t1, t2);
+
+  ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2);
+  MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8);
+  SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2);
+
+  if (n)
+    {
+      /* -cot */
+      DIV2 (c1, cc1, c2, cc2, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+	    t10);
+      if ((y = c3 + (cc3 - u28.d * c3)) == c3 + (cc3 + u28.d * c3))
+	{
+	  retval = (-sy * y);
+	  goto ret;
+	}
+    }
+  else
+    {
+      /* tan */
+      DIV2 (c2, cc2, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8, t9,
+	    t10);
+      if ((y = c3 + (cc3 - u27.d * c3)) == c3 + (cc3 + u27.d * c3))
+	{
+	  retval = (sy * y);
+	  goto ret;
+	}
+    }
+  retval = tanMp (x);
   goto ret;
 
- ret:
+ret:
   return retval;
 }
 
@@ -507,14 +830,14 @@ tan(double x) {
 /* and converts result back to double                                    */
 static double
 SECTION
-tanMp(double x)
+tanMp (double x)
 {
   int p;
   double y;
   mp_no mpy;
-  p=32;
-  __mptan(x, &mpy, p);
-  __mp_dbl(&mpy,&y,p);
+  p = 32;
+  __mptan (x, &mpy, p);
+  __mp_dbl (&mpy, &y, p);
   return y;
 }