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Diffstat (limited to 'libgcc-math/dbl-64/s_tan.c')
-rw-r--r--libgcc-math/dbl-64/s_tan.c485
1 files changed, 0 insertions, 485 deletions
diff --git a/libgcc-math/dbl-64/s_tan.c b/libgcc-math/dbl-64/s_tan.c
deleted file mode 100644
index 17bac52da03..00000000000
--- a/libgcc-math/dbl-64/s_tan.c
+++ /dev/null
@@ -1,485 +0,0 @@
-/*
- * IBM Accurate Mathematical Library
- * written by International Business Machines Corp.
- * Copyright (C) 2001 Free Software Foundation
- *
- * This program is free software; you can redistribute it and/or modify
- * it under the terms of the GNU Lesser General Public License as published by
- * the Free Software Foundation; either version 2.1 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU Lesser General Public License for more details.
- *
- * You should have received a copy of the GNU Lesser General Public License
- * along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
- */
-/*********************************************************************/
-/* MODULE_NAME: utan.c */
-/* */
-/* FUNCTIONS: utan */
-/* tanMp */
-/* */
-/* FILES NEEDED:dla.h endian.h mpa.h mydefs.h utan.h */
-/* branred.c sincos32.c mptan.c */
-/* utan.tbl */
-/* */
-/* An ultimate tan routine. Given an IEEE double machine number x */
-/* it computes the correctly rounded (to nearest) value of tan(x). */
-/* Assumption: Machine arithmetic operations are performed in */
-/* round to nearest mode of IEEE 754 standard. */
-/* */
-/*********************************************************************/
-#include "endian.h"
-#include "dla.h"
-#include "mpa.h"
-#include "MathLib.h"
-
-static double tanMp(double);
-void __mptan(double, mp_no *, int);
-
-double 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,t5,t6,t7,t8,t9,t10,w,x2,xn,xx2,y,ya,yya,z0,z,zz,z2,zz2;
- int p;
- number num,v;
- mp_no mpa,mpt1,mpt2;
-#if 0
- mp_no mpy;
-#endif
-
- int __branred(double, double *, double *);
- int __mpranred(double, mp_no *, int);
-
- /* x=+-INF, x=NaN */
- num.d = x; ux = num.i[HIGH_HALF];
- if ((ux&0x7ff00000)==0x7ff00000) return x-x;
-
- w=(x<ZERO) ? -x : x;
-
- /* (I) The case abs(x) <= 1.259e-8 */
- if (w<=g1.d) return x;
-
- /* (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)) return y;
-
- /* 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,zero.d,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 ,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
- ADD2(x ,zero.d,c2,cc2,c1,cc1,t1,t2)
- if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) return y;
- return tanMp(x);
- }
-
- /* (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<ZERO) ? 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)) return (s*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=fi+(t2-(t4=fi*ua3.d+t3*ub3.d)))==fi+(t2+t4)) return (s*y);
-
- /* 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,zero.d,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 ,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8)
- ADD2(z ,zero.d,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(one.d,zero.d,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)) return (s*y);
- return tanMp(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<ZERO) {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) return tanMp(x);
-
- /* (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(one.d,zero.d,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)) return (-y); }
- else {
- /* First stage tan */
- if ((y=a+(t2-u5.d*a))==a+(t2+u5.d*a)) return y; }
- /* 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 = 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,zero.d,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(one.d,zero.d,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)) return (-y); }
- else {
- /* Second stage tan */
- if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) return y; }
- return tanMp(x);
- }
-
- /* (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)) return (-sy*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=gi-(t2-(t4=gi*ua10.d+t3*ub10.d)))==gi-(t2+t4)) return (-sy*y); }
- else {
- /* tan */
- t2 = pz*(gi+fi)/(gi-pz);
- if ((y=fi+(t2-fi*u9.d))==fi+(t2+fi*u9.d)) return (sy*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=fi+(t2-(t4=fi*ua9.d+t3*ub9.d)))==fi+(t2+t4)) return (sy*y); }
-
- /* 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,zero.d,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(one.d,zero.d,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)) return (-sy*y); }
- 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)) return (sy*y); }
-
- return tanMp(x);
- }
-
- /* (---) 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<ZERO) {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) return tanMp(x);
-
- /* (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(one.d,zero.d,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)) return (-y); }
- else {
- /* First stage tan */
- if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) return y; }
-
- /* 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,zero.d,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(one.d,zero.d,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)) return (-y); }
- else {
- /* Second stage tan */
- if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) return (y); }
- return tanMp(x);
- }
-
- /* (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)) return (-sy*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=gi-(t2-(t4=gi*ua18.d+t3*ub18.d)))==gi-(t2+t4)) return (-sy*y); }
- else {
- /* tan */
- t2 = pz*(gi+fi)/(gi-pz);
- if ((y=fi+(t2-fi*u17.d))==fi+(t2+fi*u17.d)) return (sy*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=fi+(t2-(t4=fi*ua17.d+t3*ub17.d)))==fi+(t2+t4)) return (sy*y); }
-
- /* 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,zero.d,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(one.d,zero.d,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)) return (-sy*y); }
- 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)) return (sy*y); }
- return tanMp(x);
- }
-
- /* (---) 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<ZERO) {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) return tanMp(x);
-
- /* (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(one.d,zero.d,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)) return (-y); }
- else {
- /* First stage tan */
- if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) return y; }
-
- /* 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,zero.d,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(one.d,zero.d,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)) return (-y); }
- else {
- /* Second stage tan */
- if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) return y; }
- return tanMp(x);
- }
-
- /* (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)) return (-sy*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=gi-(t2-(t4=gi*ua26.d+t3*ub26.d)))==gi-(t2+t4)) return (-sy*y); }
- else {
- /* tan */
- t2 = pz*(gi+fi)/(gi-pz);
- if ((y=fi+(t2-fi*u25.d))==fi+(t2+fi*u25.d)) return (sy*y);
- t3 = (t2<ZERO) ? -t2 : t2;
- if ((y=fi+(t2-(t4=fi*ua25.d+t3*ub25.d)))==fi+(t2+t4)) return (sy*y); }
-
- /* 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,zero.d,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(one.d,zero.d,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)) return (-sy*y); }
- 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)) return (sy*y); }
- return tanMp(x);
-}
-
-
-/* multiple precision stage */
-/* Convert x to multi precision number,compute tan(x) by mptan() routine */
-/* and converts result back to double */
-static double tanMp(double x)
-{
- int p;
- double y;
- mp_no mpy;
- p=32;
- __mptan(x, &mpy, p);
- __mp_dbl(&mpy,&y,p);
- return y;
-}
-
-#ifdef NO_LONG_DOUBLE
-weak_alias (tan, tanl)
-#endif
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