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diff --git a/REORG.TODO/sysdeps/ieee754/dbl-64/s_tan.c b/REORG.TODO/sysdeps/ieee754/dbl-64/s_tan.c
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+/*
+ * IBM Accurate Mathematical Library
+ * written by International Business Machines Corp.
+ * Copyright (C) 2001-2017 Free Software Foundation, Inc.
+ *
+ * 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, see <http://www.gnu.org/licenses/>.
+ */
+/*********************************************************************/
+/* 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 <errno.h>
+#include <float.h>
+#include "endian.h"
+#include <dla.h>
+#include "mpa.h"
+#include "MathLib.h"
+#include <math.h>
+#include <math_private.h>
+#include <fenv.h>
+#include <stap-probe.h>
+
+#ifndef SECTION
+# define SECTION
+#endif
+
+static double tanMp (double);
+void __mptan (double, mp_no *, int);
+
+double
+SECTION
+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;
+#ifndef DLA_FMS
+ double t5, t6;
+#endif
+ int p;
+ number num, v;
+ mp_no mpa, mpt1, mpt2;
+
+ double retval;
+
+ 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;
+ }
+
+ w = (x < 0.0) ? -x : x;
+
+ /* (I) The case abs(x) <= 1.259e-8 */
+ if (w <= g1.d)
+ {
+ math_check_force_underflow_nonneg (w);
+ retval = x;
+ goto ret;
+ }
+
+ /* (II) The case 1.259e-8 < abs(x) <= 0.0608 */
+ if (w <= g2.d)
+ {
+ /* First stage */
+ x2 = x * x;
+
+ 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 */
+ 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;
+ }
+
+ /* (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) ? -1 : 1;
+ 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;
+ }
+
+ /* (---) 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 = -1;
+ }
+ else
+ {
+ ya = a;
+ yya = da;
+ sy = 1;
+ }
+
+ /* (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;
+ }
+ }
+
+ /* 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 = -1;
+ }
+ else
+ {
+ ya = a;
+ yya = da;
+ sy = 1;
+ }
+
+ /* (+++) 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 */
+ 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 = -1;
+ }
+ else
+ {
+ ya = a;
+ yya = da;
+ sy = 1;
+ }
+
+ /* (+++) The case 1e8 < abs(x) < 2**1024, abs(y) <= 1e-7 */
+ 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 = 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;
+ }
+ }
+
+ /* 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);
+ goto ret;
+
+ret:
+ return retval;
+}
+
+/* multiple precision stage */
+/* Convert x to multi precision number,compute tan(x) by mptan() routine */
+/* and converts result back to double */
+static double
+SECTION
+tanMp (double x)
+{
+ int p;
+ double y;
+ mp_no mpy;
+ p = 32;
+ __mptan (x, &mpy, p);
+ __mp_dbl (&mpy, &y, p);
+ LIBC_PROBE (slowtan, 2, &x, &y);
+ return y;
+}
+
+#ifdef NO_LONG_DOUBLE
+weak_alias (tan, tanl)
+#endif
generated by cgit v1.2.3 (git 2.25.1) at 2024-06-12 19:48:14 +0000