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author | Zack Weinberg <zackw@panix.com> | 2017-06-08 15:39:03 -0400 |
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committer | Zack Weinberg <zackw@panix.com> | 2017-06-08 15:39:03 -0400 |
commit | 5046dbb4a7eba5eccfd258f92f4735c9ffc8d069 (patch) | |
tree | 4470480d904b65cf14ca524f96f79eca818c3eaf /sysdeps/ieee754/dbl-64/e_atan2.c | |
parent | 199fc19d3aaaf57944ef036e15904febe877fc93 (diff) | |
download | glibc-5046dbb4a7eba5eccfd258f92f4735c9ffc8d069.tar.gz glibc-5046dbb4a7eba5eccfd258f92f4735c9ffc8d069.tar.xz glibc-5046dbb4a7eba5eccfd258f92f4735c9ffc8d069.zip |
Prepare for radical source tree reorganization. zack/build-layout-experiment
All top-level files and directories are moved into a temporary storage directory, REORG.TODO, except for files that will certainly still exist in their current form at top level when we're done (COPYING, COPYING.LIB, LICENSES, NEWS, README), all old ChangeLog files (which are moved to the new directory OldChangeLogs, instead), and the generated file INSTALL (which is just deleted; in the new order, there will be no generated files checked into version control).
Diffstat (limited to 'sysdeps/ieee754/dbl-64/e_atan2.c')
-rw-r--r-- | sysdeps/ieee754/dbl-64/e_atan2.c | 620 |
1 files changed, 0 insertions, 620 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_atan2.c b/sysdeps/ieee754/dbl-64/e_atan2.c deleted file mode 100644 index 3c9d964b9b..0000000000 --- a/sysdeps/ieee754/dbl-64/e_atan2.c +++ /dev/null @@ -1,620 +0,0 @@ -/* - * 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: atnat2.c */ -/* */ -/* FUNCTIONS: uatan2 */ -/* atan2Mp */ -/* signArctan2 */ -/* normalized */ -/* */ -/* FILES NEEDED: dla.h endian.h mpa.h mydefs.h atnat2.h */ -/* mpatan.c mpatan2.c mpsqrt.c */ -/* uatan.tbl */ -/* */ -/* An ultimate atan2() routine. Given two IEEE double machine numbers y,*/ -/* x it computes the correctly rounded (to nearest) value of atan2(y,x).*/ -/* */ -/* Assumption: Machine arithmetic operations are performed in */ -/* round to nearest mode of IEEE 754 standard. */ -/* */ -/************************************************************************/ - -#include <dla.h> -#include "mpa.h" -#include "MathLib.h" -#include "uatan.tbl" -#include "atnat2.h" -#include <fenv.h> -#include <float.h> -#include <math.h> -#include <math_private.h> -#include <stap-probe.h> - -#ifndef SECTION -# define SECTION -#endif - -/************************************************************************/ -/* An ultimate atan2 routine. Given two IEEE double machine numbers y,x */ -/* it computes the correctly rounded (to nearest) value of atan2(y,x). */ -/* Assumption: Machine arithmetic operations are performed in */ -/* round to nearest mode of IEEE 754 standard. */ -/************************************************************************/ -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) -{ - return __copysign (z, y); -} - -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; -#ifndef DLA_FMS - double t4, t5, t6; -#endif - number num; - - 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 + y; - } - 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 0; - else - return opi.d; - } - } - else if (uy == 0x80000000) - { - if (dy == 0x00000000) - { - if ((ux & 0x80000000) == 0x00000000) - return -0.0; - else - return mopi.d; - } - } - - /* x=+-0 */ - if (x == 0) - { - 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 0; - else - return -0.0; - } - } - } - 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; - } - - SET_RESTORE_ROUND (FE_TONEAREST); - /* either x/y or y/x is very close to zero */ - ax = (x < 0) ? -x : x; - ay = (y < 0) ? -y : y; - de = (uy & 0x7ff00000) - (ux & 0x7ff00000); - if (de >= ep) - { - return ((y > 0) ? hpi.d : mhpi.d); - } - else if (de <= em) - { - if (x > 0) - { - double ret; - if ((z = ay / ax) < TWOM1022) - ret = normalized (ax, ay, y, z); - else - ret = signArctan2 (y, z); - if (fabs (ret) < DBL_MIN) - { - double vret = ret ? ret : DBL_MIN; - double force_underflow = vret * vret; - math_force_eval (force_underflow); - } - return ret; - } - else - { - return ((y > 0) ? 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; - } - - /* Likewise for large x and y. */ - if (ax > two500.d || ay > two500.d) - { - ax *= twom500.d; - ay *= twom500.d; - } - - /* 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 > 0) - { - /* (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, 0, 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, 0, 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, 0, 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, 0, 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); - } - - /* (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, 0, 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, 0, 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) */ - 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, 0, 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, 0, 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 */ -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); -} - -/* Stage 3: Perform a multi-Precision computation */ -static double -SECTION -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) - { - LIBC_PROBE (slowatan2, 4, &p, &x, &y, &z1); - return z1; - } - } - LIBC_PROBE (slowatan2_inexact, 4, &p, &x, &y, &z1); - return z1; /*if impossible to do exact computing */ -} |