1 /*
2 * CDDL HEADER START
3 *
4 * The contents of this file are subject to the terms of the
5 * Common Development and Distribution License (the "License").
6 * You may not use this file except in compliance with the License.
7 *
8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9 * or http://www.opensolaris.org/os/licensing.
10 * See the License for the specific language governing permissions
11 * and limitations under the License.
12 *
13 * When distributing Covered Code, include this CDDL HEADER in each
14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 * If applicable, add the following below this CDDL HEADER, with the
16 * fields enclosed by brackets "[]" replaced with your own identifying
17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 *
19 * CDDL HEADER END
20 */
21
22 /*
23 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
24 */
25 /*
26 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
27 * Use is subject to license terms.
28 */
29
30 #include "libm_protos.h"
31
32 /*
33 * Let y[j] = _TBL_atan[2j], atan_y[j] = _TBL_atan[2j+1], j = 0, 1, ..., 95.
34 * {y[j], 0 <= j < 96} is a set of break points in (-1/8, 8) chosen so that
35 * the high part of y[j] is very close to 0x3fc08000 + (j << 16),
36 * and atan_y[j] = atan(y[j]) rounded has relative error bounded by 2^-60.
37 *
38 * -- K.C. Ng, 10/17/2004
39 */
40
41 const double _TBL_atan[] = {
42 1.28906287871928065814e-01, 1.28199318484201185697e-01,
43 1.36718905591866640714e-01, 1.35876480966603985223e-01,
44 1.44531257606217988787e-01, 1.43537301152401930437e-01,
45 1.52343679482641575218e-01, 1.51181262880709432750e-01,
46 1.60156177403962790562e-01, 1.58807537535115006477e-01,
47 1.67968772982362929413e-01, 1.66415323534856884891e-01,
48 1.75781211596017922227e-01, 1.74003563682464612583e-01,
49 1.83593807762862160082e-01, 1.81571767039387044207e-01,
50 1.91406205589629646591e-01, 1.89118806085245338977e-01,
51 1.99218440148815872925e-01, 1.96643947167121080355e-01,
52 2.07031180070658488157e-01, 2.04147078126891479144e-01,
53 2.14843557086546094181e-01, 2.11626624363759674452e-01,
54 2.22656308649619494311e-01, 2.19082566659412503185e-01,
55 2.30468759807905931858e-01, 2.26513550670145669130e-01,
56 2.38281413377399470255e-01, 2.33919360814280885563e-01,
57 2.46093763828156536499e-01, 2.41298839969374956382e-01,
58 2.57812599322508773092e-01, 2.52318074018685223336e-01,
59 2.73437443946477509726e-01, 2.66912935433335718471e-01,
60 2.89062532292519769328e-01, 2.81392462451501401688e-01,
61 3.04687577351389293767e-01, 2.95751756530947318424e-01,
62 3.20312405527377053183e-01, 3.09986305565206343715e-01,
63 3.35937715576634265968e-01, 3.24092664204967739749e-01,
64 3.51562621385942464247e-01, 3.38066230870244233131e-01,
65 3.67187719833070636000e-01, 3.51904019130060419229e-01,
66 3.82812538440931826589e-01, 3.65602365234580339859e-01,
67 3.98437724467857745658e-01, 3.79158862748537828224e-01,
68 4.14062683287296784407e-01, 3.92570291474021892952e-01,
69 4.29687654458357937148e-01, 4.05834423459965343284e-01,
70 4.45312642848883721847e-01, 4.18949086342842669239e-01,
71 4.60937644536906665493e-01, 4.31912354681638355203e-01,
72 4.76563149131543906112e-01, 4.44722952952162131623e-01,
73 4.92187842452541601812e-01, 4.57378374341803173309e-01,
74 5.15624825518001039804e-01, 4.76069192487019954285e-01,
75 5.46874516057966109095e-01, 5.00440440618262982753e-01,
76 5.78125566624434150675e-01, 5.24180053466007933594e-01,
77 6.09375102172641347487e-01, 5.47284455493244337276e-01,
78 6.40624936950189516338e-01, 5.69756408779493739303e-01,
79 6.71875248719545625775e-01, 5.91599881698465779323e-01,
80 7.03124988865964306584e-01, 6.12820194714659649549e-01,
81 7.34376295967088421612e-01, 6.33426724884753156175e-01,
82 7.65624929092156736310e-01, 6.53426296477277901431e-01,
83 7.96874196003358736817e-01, 6.72832055855442590087e-01,
84 8.28125565205639735389e-01, 6.91656957129326954714e-01,
85 8.59375453355927021448e-01, 7.09911879233846576653e-01,
86 8.90625694745052709500e-01, 7.27611720056701827275e-01,
87 9.21875110259870345075e-01, 7.44770185320721367361e-01,
88 9.53125042657123722201e-01, 7.61402792157321428590e-01,
89 9.84374765277631902372e-01, 7.77524191164056688308e-01,
90 1.03126494373528343473e+00, 8.00788807142382097481e-01,
91 1.09374968909110092952e+00, 8.30144253291031475328e-01,
92 1.15625019152505204012e+00, 8.57735575892430546219e-01,
93 1.21874985186151341132e+00, 8.83672057048812575886e-01,
94 1.28124876006842702836e+00, 9.08066349515326720621e-01,
95 1.34375006271148444981e+00, 9.31026566320014126177e-01,
96 1.40627222899692072566e+00, 9.52659566341466756967e-01,
97 1.46874957658300542285e+00, 9.73037801091363618866e-01,
98 1.53124999999999555911e+00, 9.92272112377190040888e-01,
99 1.59375089676214143353e+00, 1.01043670320979472876e+00,
100 1.65624949800269094524e+00, 1.02760661639661776690e+00,
101 1.71874946971376685312e+00, 1.04385296549501305208e+00,
102 1.78125111924655166185e+00, 1.05924046784549474864e+00,
103 1.84374921332370989013e+00, 1.07382754310190620117e+00,
104 1.90625055239083862624e+00, 1.08767078118685489585e+00,
105 1.96874992734227549640e+00, 1.10081967347672460278e+00,
106 2.06250046973591683042e+00, 1.11934332464931074469e+00,
107 2.18749905173933534286e+00, 1.14201813543610697366e+00,
108 2.31249933788800232648e+00, 1.16264711873167669864e+00,
109 2.43749855191054187742e+00, 1.18147939634549814514e+00,
110 2.56251104936881235474e+00, 1.19873002825057639598e+00,
111 2.68750036758144528193e+00, 1.21457671610223272296e+00,
112 2.81249907059852954916e+00, 1.22918073183895870670e+00,
113 2.93749583903062294610e+00, 1.24267599964591468620e+00,
114 3.06250108260464948273e+00, 1.25518076906426045980e+00,
115 3.18750016629930410517e+00, 1.26679540235591403530e+00,
116 3.31250071362610132297e+00, 1.27760948984166233799e+00,
117 3.43749999999999333866e+00, 1.28770054149540058575e+00,
118 3.56249877589327157423e+00, 1.29713691630583838332e+00,
119 3.68750696071718842006e+00, 1.30597947372626776996e+00,
120 3.81250023149192607264e+00, 1.31427972905173717777e+00,
121 3.93749827850909683846e+00, 1.32208623339324304879e+00,
122 4.12500187917697846984e+00, 1.33296050364557672196e+00,
123 4.37499759905160701123e+00, 1.34608503917096200553e+00,
124 4.62500066729278191957e+00, 1.35785800701782477518e+00,
125 4.87499852385410648026e+00, 1.36847463881194641999e+00,
126 5.12499918742110072145e+00, 1.37809553833018583191e+00,
127 5.37500000000004529710e+00, 1.38685287025772296943e+00,
128 5.62499999999991828759e+00, 1.39485670134236627860e+00,
129 5.87499417854096694924e+00, 1.40219922327269230777e+00,
130 6.12500000000013233858e+00, 1.40895889555647713109e+00,
131 6.37499999999991828759e+00, 1.41520149881786494461e+00,
132 6.62499933107761584949e+00, 1.42098385532083781868e+00,
133 6.87500431528593747288e+00, 1.42635483782722261026e+00,
134 7.12499228632883863099e+00, 1.43135612069194451124e+00,
135 7.37499257154547205317e+00, 1.43602490820671135907e+00,
136 7.62499911873607416624e+00, 1.44039300400460135165e+00,
137 7.87500000000018918200e+00, 1.44448820973165936721e+00,
138 };