1 // Copyright (C) 1988-1994 Sun Microsystems, Inc. 2550 Garcia Avenue 2 // Mountain View, California 94043 All rights reserved. 3 // 4 // Any person is hereby authorized to download, copy, use, create bug fixes, 5 // and distribute, subject to the following conditions: 6 // 7 // 1. the software may not be redistributed for a fee except as 8 // reasonable to cover media costs; 9 // 2. any copy of the software must include this notice, as well as 10 // any other embedded copyright notices; and 11 // 3. any distribution of this software or derivative works thereof 12 // must comply with all applicable U.S. export control laws. 13 // 14 // THE SOFTWARE IS MADE AVAILABLE "AS IS" AND WITHOUT EXPRESS OR IMPLIED 15 // WARRANTY OF ANY KIND, INCLUDING BUT NOT LIMITED TO THE IMPLIED 16 // WARRANTIES OF DESIGN, MERCHANTIBILITY, FITNESS FOR A PARTICULAR 17 // PURPOSE, NON-INFRINGEMENT, PERFORMANCE OR CONFORMANCE TO 18 // SPECIFICATIONS. 19 // 20 // BY DOWNLOADING AND/OR USING THIS SOFTWARE, THE USER WAIVES ALL CLAIMS 21 // AGAINST SUN MICROSYSTEMS, INC. AND ITS AFFILIATED COMPANIES IN ANY 22 // JURISDICTION, INCLUDING BUT NOT LIMITED TO CLAIMS FOR DAMAGES OR 23 // EQUITABLE RELIEF BASED ON LOSS OF DATA, AND SPECIFICALLY WAIVES EVEN 24 // UNKNOWN OR UNANTICIPATED CLAIMS OR LOSSES, PRESENT AND FUTURE. 25 // 26 // IN NO EVENT WILL SUN MICROSYSTEMS, INC. OR ANY OF ITS AFFILIATED 27 // COMPANIES BE LIABLE FOR ANY LOST REVENUE OR PROFITS OR OTHER SPECIAL, 28 // INDIRECT AND CONSEQUENTIAL DAMAGES, EVEN IF IT HAS BEEN ADVISED OF THE 29 // POSSIBILITY OF SUCH DAMAGES. 30 // 31 // This file is provided with no support and without any obligation on the 32 // part of Sun Microsystems, Inc. ("Sun") or any of its affiliated 33 // companies to assist in its use, correction, modification or 34 // enhancement. Nevertheless, and without creating any obligation on its 35 // part, Sun welcomes your comments concerning the software and requests 36 // that they be sent to fdlibm-comments@sunpro.sun.com. 37 // atans(+-max) is +-pi/2 38 T(RN, 0x1.fffffep+127, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT) 39 T(RN,-0x1.fffffep+127, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT) 40 // atans(+-1) is +-pi/4 41 T(RN, 0x1p+0, 0x1.921fb6p-1, 0x1.777a5cp-2, INEXACT) 42 T(RN, -0x1p+0, -0x1.921fb6p-1, -0x1.777a5cp-2, INEXACT) 43 // atans(tiny) is tiny 44 T(RN, 0x1p-29, 0x1p-29, 0x1.555556p-37, INEXACT) 45 T(RN, -0x1p-29, -0x1p-29, -0x1.555556p-37, INEXACT) 46 T(RN, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT) 47 T(RN, -0x1p-126, -0x1p-126, 0x0p+0, INEXACT) 48 T(RZ, 0x1p-29, 0x1.fffffep-30, -0x1p+0, INEXACT) 49 T(RZ, -0x1p-29, -0x1.fffffep-30, 0x1p+0, INEXACT) 50 T(RZ, 0x1p-126, 0x1.fffffcp-127, -0x1p+0, INEXACT|UNDERFLOW) 51 T(RZ, -0x1p-126,-0x1.fffffcp-127, 0x1p+0, INEXACT|UNDERFLOW) 52 T(RU, 0x1p-29, 0x1p-29, 0x1.555556p-37, INEXACT) 53 T(RU, -0x1p-29, -0x1.fffffep-30, 0x1p+0, INEXACT) 54 T(RU, 0x1p-126, 0x1p-126, 0x0p+0, INEXACT) 55 T(RU, -0x1p-126,-0x1.fffffcp-127, 0x1p+0, INEXACT|UNDERFLOW) 56 T(RD, 0x1p-29, 0x1.fffffep-30, -0x1p+0, INEXACT) 57 T(RD, -0x1p-29, -0x1p-29, -0x1.555556p-37, INEXACT) 58 T(RD, 0x1p-126, 0x1.fffffcp-127, -0x1p+0, INEXACT|UNDERFLOW) 59 T(RD, -0x1p-126, -0x1p-126, 0x0p+0, INEXACT) 60 // atans(+-0) is +-0 61 T(RN, 0x0p+0, 0x0p+0, 0x0p+0, 0) 62 T(RN, -0x0p+0, -0x0p+0, 0x0p+0, 0) 63 T(RZ, 0x0p+0, 0x0p+0, 0x0p+0, 0) 64 T(RZ, -0x0p+0, -0x0p+0, 0x0p+0, 0) 65 T(RU, 0x0p+0, 0x0p+0, 0x0p+0, 0) 66 T(RU, -0x0p+0, -0x0p+0, 0x0p+0, 0) 67 T(RD, 0x0p+0, 0x0p+0, 0x0p+0, 0) 68 T(RD, -0x0p+0, -0x0p+0, 0x0p+0, 0) 69 // random arguments between -2 and 2 70 T(RN, -0x1.13284cp-1, -0x1.f8f75ep-2, -0x1.ffeb8ap-2, INEXACT) 71 T(RN, 0x1.6ca8ep+0, 0x1.eadc6ep-1, 0x1.cd861ap-2, INEXACT) 72 T(RN, 0x1.c2ca6p+0, 0x1.0de7f8p+0, -0x1.c7422ap-2, INEXACT) 73 T(RN, -0x1.55f12p+0, -0x1.db367cp-1, -0x1.c22522p-2, INEXACT) 74 T(RN, -0x1.15679ep-1, -0x1.fc7284p-2, 0x1.82b19ep-3, INEXACT) 75 T(RN, -0x1.41e132p-4, -0x1.413834p-4, -0x1.8b82b8p-2, INEXACT) 76 T(RN, 0x1.281b0ep+0, 0x1.b74042p-1, 0x1.b8739ep-3, INEXACT) 77 T(RN, 0x1.b5ce34p+0, 0x1.0aab58p+0, -0x1.2c3954p-2, INEXACT) 78 T(RN, -0x1.583482p-2, -0x1.4c0e14p-2, -0x1.6847fap-3, INEXACT) 79 T(RN, -0x1.ea8224p+0, -0x1.16fb9cp+0, -0x1.d09d38p-2, INEXACT) 80 T(RZ, -0x1.13284cp-1, -0x1.f8f75cp-2, 0x1.000a3ap-1, INEXACT) 81 T(RZ, 0x1.6ca8ep+0, 0x1.eadc6cp-1, -0x1.193cf2p-1, INEXACT) 82 T(RZ, 0x1.c2ca6p+0, 0x1.0de7f8p+0, -0x1.c7422ap-2, INEXACT) 83 T(RZ, -0x1.55f12p+0, -0x1.db367ap-1, 0x1.1eed6ep-1, INEXACT) 84 T(RZ, -0x1.15679ep-1, -0x1.fc7284p-2, 0x1.82b19ep-3, INEXACT) 85 T(RZ, -0x1.41e132p-4, -0x1.413832p-4, 0x1.3a3ea4p-1, INEXACT) 86 T(RZ, 0x1.281b0ep+0, 0x1.b7404p-1, -0x1.91e318p-1, INEXACT) 87 T(RZ, 0x1.b5ce34p+0, 0x1.0aab58p+0, -0x1.2c3954p-2, INEXACT) 88 T(RZ, -0x1.583482p-2, -0x1.4c0e12p-2, 0x1.a5ee02p-1, INEXACT) 89 T(RZ, -0x1.ea8224p+0, -0x1.16fb9ap+0, 0x1.17b164p-1, INEXACT) 90 T(RU, -0x1.13284cp-1, -0x1.f8f75cp-2, 0x1.000a3ap-1, INEXACT) 91 T(RU, 0x1.6ca8ep+0, 0x1.eadc6ep-1, 0x1.cd861ap-2, INEXACT) 92 T(RU, 0x1.c2ca6p+0, 0x1.0de7fap+0, 0x1.1c5eecp-1, INEXACT) 93 T(RU, -0x1.55f12p+0, -0x1.db367ap-1, 0x1.1eed6ep-1, INEXACT) 94 T(RU, -0x1.15679ep-1, -0x1.fc7284p-2, 0x1.82b19ep-3, INEXACT) 95 T(RU, -0x1.41e132p-4, -0x1.413832p-4, 0x1.3a3ea4p-1, INEXACT) 96 T(RU, 0x1.281b0ep+0, 0x1.b74042p-1, 0x1.b8739ep-3, INEXACT) 97 T(RU, 0x1.b5ce34p+0, 0x1.0aab5ap+0, 0x1.69e356p-1, INEXACT) 98 T(RU, -0x1.583482p-2, -0x1.4c0e12p-2, 0x1.a5ee02p-1, INEXACT) 99 T(RU, -0x1.ea8224p+0, -0x1.16fb9ap+0, 0x1.17b164p-1, INEXACT) 100 T(RD, -0x1.13284cp-1, -0x1.f8f75ep-2, -0x1.ffeb8ap-2, INEXACT) 101 T(RD, 0x1.6ca8ep+0, 0x1.eadc6cp-1, -0x1.193cf2p-1, INEXACT) 102 T(RD, 0x1.c2ca6p+0, 0x1.0de7f8p+0, -0x1.c7422ap-2, INEXACT) 103 T(RD, -0x1.55f12p+0, -0x1.db367cp-1, -0x1.c22522p-2, INEXACT) 104 T(RD, -0x1.15679ep-1, -0x1.fc7286p-2, -0x1.9f5398p-1, INEXACT) 105 T(RD, -0x1.41e132p-4, -0x1.413834p-4, -0x1.8b82b8p-2, INEXACT) 106 T(RD, 0x1.281b0ep+0, 0x1.b7404p-1, -0x1.91e318p-1, INEXACT) 107 T(RD, 0x1.b5ce34p+0, 0x1.0aab58p+0, -0x1.2c3954p-2, INEXACT) 108 T(RD, -0x1.583482p-2, -0x1.4c0e14p-2, -0x1.6847fap-3, INEXACT) 109 T(RD, -0x1.ea8224p+0, -0x1.16fb9cp+0, -0x1.d09d38p-2, INEXACT) 110 // atans(+-inf) is +-pi/2 111 T(RN, inf, 0x1.921fb6p+0, 0x1.777a5cp-2, INEXACT) 112 T(RN, -inf, -0x1.921fb6p+0, -0x1.777a5cp-2, INEXACT) 113 // atans(nan) is nan 114 T(RN, nan, nan, 0x0p+0, 0) 115 T(RN, nan, nan, 0x0p+0, 0) 116 T(RZ, nan, nan, 0x0p+0, 0) 117 T(RZ, nan, nan, 0x0p+0, 0) 118 T(RU, nan, nan, 0x0p+0, 0) 119 T(RU, nan, nan, 0x0p+0, 0) 120 T(RD, nan, nan, 0x0p+0, 0) 121 T(RD, nan, nan, 0x0p+0, 0) 122 T(RD, 0x1.000002p-126, 0x1p-126, -0x1p+0, INEXACT) 123 T(RD, 0x1.000004p-126, 0x1.000002p-126, -0x1p+0, INEXACT) 124 T(RD, 0x1p-125, 0x1.fffffep-126, -0x1p+0, INEXACT) 125 T(RD, 0x1p-124, 0x1.fffffep-125, -0x1p+0, INEXACT) 126 T(RD,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT) 127 T(RD,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT) 128 T(RD,-0x1.fffff6p-126,-0x1.fffff6p-126, 0x0p+0, INEXACT) 129 T(RD, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT) 130 T(RD,-0x1.000006p-125,-0x1.000006p-125, 0x0p+0, INEXACT) 131 T(RD, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT) 132 T(RD, 0x1p-149, 0x0p+0, -0x1p+0, INEXACT|UNDERFLOW) 133 T(RD, 0x1p-148, 0x1p-149, -0x1p+0, INEXACT|UNDERFLOW) 134 T(RD, 0x1p-128, 0x1.fffffp-129, -0x1p+0, INEXACT|UNDERFLOW) 135 T(RD, 0x1p-127, 0x1.fffff8p-128, -0x1p+0, INEXACT|UNDERFLOW) 136 T(RD, 0x1.fffff8p-127, 0x1.fffff4p-127, -0x1p+0, INEXACT|UNDERFLOW) 137 T(RD, 0x1.fffffcp-127, 0x1.fffff8p-127, -0x1p+0, INEXACT|UNDERFLOW) 138 T(RD, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW) 139 T(RD, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW) 140 T(RD, -0x1.2p-146, -0x1.2p-146, 0x0p+0, INEXACT|UNDERFLOW) 141 T(RD, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW) 142 T(RD, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW) 143 T(RD,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW) 144 T(RD,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW) 145 T(RD, 0x1.8p-27, 0x1.7ffffep-27, -0x1p+0, INEXACT) 146 T(RD, 0x1p-12, 0x1.fffffep-13, -0x1.555556p-1, INEXACT) 147 T(RD, -0x1.8p-27, -0x1.8p-27, -0x1.2p-31, INEXACT) 148 T(RD, -0x1p-12, -0x1p-12, -0x1.555554p-3, INEXACT) 149 T(RN, 0x1.000002p-126, 0x1.000002p-126, 0x0p+0, INEXACT) 150 T(RN, 0x1.000004p-126, 0x1.000004p-126, 0x0p+0, INEXACT) 151 T(RN, 0x1.fffff6p-126, 0x1.fffff6p-126, 0x0p+0, INEXACT) 152 T(RN, 0x1p-125, 0x1p-125, 0x0p+0, INEXACT) 153 T(RN, 0x1.000006p-125, 0x1.000006p-125, 0x0p+0, INEXACT) 154 T(RN, 0x1p-124, 0x1p-124, 0x0p+0, INEXACT) 155 T(RN, 0x1.8p-27, 0x1.8p-27, 0x1.2p-31, INEXACT) 156 T(RN, 0x1p-12, 0x1p-12, 0x1.555554p-3, INEXACT) 157 T(RN,-0x1.000002p-126,-0x1.000002p-126, 0x0p+0, INEXACT) 158 T(RN,-0x1.000004p-126,-0x1.000004p-126, 0x0p+0, INEXACT) 159 T(RN,-0x1.fffff6p-126,-0x1.fffff6p-126, 0x0p+0, INEXACT) 160 T(RN, -0x1p-125, -0x1p-125, 0x0p+0, INEXACT) 161 T(RN,-0x1.000006p-125,-0x1.000006p-125, 0x0p+0, INEXACT) 162 T(RN, -0x1p-124, -0x1p-124, 0x0p+0, INEXACT) 163 T(RN, -0x1.8p-27, -0x1.8p-27, -0x1.2p-31, INEXACT) 164 T(RN, -0x1p-12, -0x1p-12, -0x1.555554p-3, INEXACT) 165 T(RN, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW) 166 T(RN, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW) 167 T(RN, 0x1.2p-146, 0x1.2p-146, 0x0p+0, INEXACT|UNDERFLOW) 168 T(RN, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW) 169 T(RN, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW) 170 T(RN, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW) 171 T(RN, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW) 172 T(RN, -0x1p-149, -0x1p-149, 0x0p+0, INEXACT|UNDERFLOW) 173 T(RN, -0x1p-148, -0x1p-148, 0x0p+0, INEXACT|UNDERFLOW) 174 T(RN, -0x1.2p-146, -0x1.2p-146, 0x0p+0, INEXACT|UNDERFLOW) 175 T(RN, -0x1p-128, -0x1p-128, 0x0p+0, INEXACT|UNDERFLOW) 176 T(RN, -0x1p-127, -0x1p-127, 0x0p+0, INEXACT|UNDERFLOW) 177 T(RN,-0x1.fffff8p-127,-0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW) 178 T(RN,-0x1.fffffcp-127,-0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW) 179 T(RU, 0x1.000002p-126, 0x1.000002p-126, 0x0p+0, INEXACT) 180 T(RU, 0x1.000004p-126, 0x1.000004p-126, 0x0p+0, INEXACT) 181 T(RU, 0x1.fffff6p-126, 0x1.fffff6p-126, 0x0p+0, INEXACT) 182 T(RU, 0x1p-125, 0x1p-125, 0x0p+0, INEXACT) 183 T(RU, 0x1.000006p-125, 0x1.000006p-125, 0x0p+0, INEXACT) 184 T(RU, 0x1p-124, 0x1p-124, 0x0p+0, INEXACT) 185 T(RU,-0x1.000002p-126, -0x1p-126, 0x1p+0, INEXACT) 186 T(RU,-0x1.000004p-126,-0x1.000002p-126, 0x1p+0, INEXACT) 187 T(RU, -0x1p-125,-0x1.fffffep-126, 0x1p+0, INEXACT) 188 T(RU, -0x1p-124,-0x1.fffffep-125, 0x1p+0, INEXACT) 189 T(RU, 0x1p-149, 0x1p-149, 0x0p+0, INEXACT|UNDERFLOW) 190 T(RU, 0x1p-148, 0x1p-148, 0x0p+0, INEXACT|UNDERFLOW) 191 T(RU, 0x1.2p-146, 0x1.2p-146, 0x0p+0, INEXACT|UNDERFLOW) 192 T(RU, 0x1p-128, 0x1p-128, 0x0p+0, INEXACT|UNDERFLOW) 193 T(RU, 0x1p-127, 0x1p-127, 0x0p+0, INEXACT|UNDERFLOW) 194 T(RU, 0x1.fffff8p-127, 0x1.fffff8p-127, 0x0p+0, INEXACT|UNDERFLOW) 195 T(RU, 0x1.fffffcp-127, 0x1.fffffcp-127, 0x0p+0, INEXACT|UNDERFLOW) 196 T(RU, -0x1p-149, -0x0p+0, 0x1p+0, INEXACT|UNDERFLOW) 197 T(RU, -0x1p-148, -0x1p-149, 0x1p+0, INEXACT|UNDERFLOW) 198 T(RU, -0x1p-128, -0x1.fffffp-129, 0x1p+0, INEXACT|UNDERFLOW) 199 T(RU, -0x1p-127,-0x1.fffff8p-128, 0x1p+0, INEXACT|UNDERFLOW) 200 T(RU,-0x1.fffff8p-127,-0x1.fffff4p-127, 0x1p+0, INEXACT|UNDERFLOW) 201 T(RU,-0x1.fffffcp-127,-0x1.fffff8p-127, 0x1p+0, INEXACT|UNDERFLOW) 202 T(RU, 0x1.8p-27, 0x1.8p-27, 0x1.2p-31, INEXACT) 203 T(RU, 0x1p-12, 0x1p-12, 0x1.555554p-3, INEXACT) 204 T(RU, -0x1.8p-27, -0x1.7ffffep-27, 0x1p+0, INEXACT) 205 T(RU, -0x1p-12, -0x1.fffffep-13, 0x1.555556p-1, INEXACT) 206 T(RZ, 0x1.000002p-126, 0x1p-126, -0x1p+0, INEXACT) 207 T(RZ, 0x1.000004p-126, 0x1.000002p-126, -0x1p+0, INEXACT) 208 T(RZ, 0x1p-125, 0x1.fffffep-126, -0x1p+0, INEXACT) 209 T(RZ, 0x1p-124, 0x1.fffffep-125, -0x1p+0, INEXACT) 210 T(RZ,-0x1.000002p-126, -0x1p-126, 0x1p+0, INEXACT) 211 T(RZ,-0x1.000004p-126,-0x1.000002p-126, 0x1p+0, INEXACT) 212 T(RZ, -0x1p-125,-0x1.fffffep-126, 0x1p+0, INEXACT) 213 T(RZ, -0x1p-124,-0x1.fffffep-125, 0x1p+0, INEXACT) 214 T(RZ, 0x1p-149, 0x0p+0, -0x1p+0, INEXACT|UNDERFLOW) 215 T(RZ, 0x1p-148, 0x1p-149, -0x1p+0, INEXACT|UNDERFLOW) 216 T(RZ, 0x1p-128, 0x1.fffffp-129, -0x1p+0, INEXACT|UNDERFLOW) 217 T(RZ, 0x1p-127, 0x1.fffff8p-128, -0x1p+0, INEXACT|UNDERFLOW) 218 T(RZ, 0x1.fffff8p-127, 0x1.fffff4p-127, -0x1p+0, INEXACT|UNDERFLOW) 219 T(RZ, 0x1.fffffcp-127, 0x1.fffff8p-127, -0x1p+0, INEXACT|UNDERFLOW) 220 T(RZ, -0x1p-149, -0x0p+0, 0x1p+0, INEXACT|UNDERFLOW) 221 T(RZ, -0x1p-148, -0x1p-149, 0x1p+0, INEXACT|UNDERFLOW) 222 T(RZ, -0x1p-128, -0x1.fffffp-129, 0x1p+0, INEXACT|UNDERFLOW) 223 T(RZ, -0x1p-127,-0x1.fffff8p-128, 0x1p+0, INEXACT|UNDERFLOW) 224 T(RZ,-0x1.fffff8p-127,-0x1.fffff4p-127, 0x1p+0, INEXACT|UNDERFLOW) 225 T(RZ,-0x1.fffffcp-127,-0x1.fffff8p-127, 0x1p+0, INEXACT|UNDERFLOW) 226 T(RZ, 0x1.8p-27, 0x1.7ffffep-27, -0x1p+0, INEXACT) 227 T(RZ, 0x1p-12, 0x1.fffffep-13, -0x1.555556p-1, INEXACT) 228 T(RZ, -0x1.8p-27, -0x1.7ffffep-27, 0x1p+0, INEXACT) 229 T(RZ, -0x1p-12, -0x1.fffffep-13, 0x1.555556p-1, INEXACT) 230