diff options
Diffstat (limited to 'Lib/test/decimaltestdata/squareroot.decTest')
| -rw-r--r-- | Lib/test/decimaltestdata/squareroot.decTest | 860 |
1 files changed, 853 insertions, 7 deletions
diff --git a/Lib/test/decimaltestdata/squareroot.decTest b/Lib/test/decimaltestdata/squareroot.decTest index 0c83cc7..2ccff5a 100644 --- a/Lib/test/decimaltestdata/squareroot.decTest +++ b/Lib/test/decimaltestdata/squareroot.decTest @@ -1,6 +1,6 @@ ------------------------------------------------------------------------ -- squareroot.decTest -- decimal square root -- --- Copyright (c) IBM Corporation, 2004. All rights reserved. -- +-- Copyright (c) IBM Corporation, 2003, 2007. All rights reserved. -- ------------------------------------------------------------------------ -- Please see the document "General Decimal Arithmetic Testcases" -- -- at http://www2.hursley.ibm.com/decimal for the description of -- @@ -17,7 +17,7 @@ -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- -- mfc@uk.ibm.com -- ------------------------------------------------------------------------ -version: 2.39 +version: 2.56 extended: 1 precision: 9 @@ -102,6 +102,8 @@ sqtx074 squareroot -100.0 -> NaN Invalid_operation sqtx075 squareroot -100.00 -> NaN Invalid_operation sqtx076 squareroot -1.1000E+3 -> NaN Invalid_operation sqtx077 squareroot -1.10000E+3 -> NaN Invalid_operation +sqtx078 squareroot 1.000 -> 1.00 +sqtx079 squareroot 1.0000 -> 1.00 -- famous squares sqtx080 squareroot 1 -> 1 @@ -2926,19 +2928,26 @@ sqtx803 squareroot 1E-18 -> 1E-9 precision: 11 -- Etiny=-19 sqtx804 squareroot 1E-19 -> 3.162277660E-10 Underflow Subnormal Inexact Rounded -sqtx805 squareroot 10E-19 -> 1.0E-9 +sqtx805 squareroot 10E-19 -> 1.0E-9 -- exact precision: 12 -- Etiny=-20 sqtx806 squareroot 10E-20 -> 3.1622776602E-10 Underflow Subnormal Inexact Rounded -sqtx807 squareroot 1E-20 -> 1E-10 Subnormal -- Exact Subnormal case +sqtx807 squareroot 1E-20 -> 1E-10 Subnormal -- exact Subnormal case precision: 13 -- Etiny=-21 sqtx808 squareroot 1E-21 -> 3.1622776602E-11 Underflow Subnormal Inexact Rounded -sqtx809 squareroot 10E-21 -> 1.0E-10 Subnormal +sqtx809 squareroot 10E-21 -> 1.0E-10 Subnormal -- exact Subnormal case precision: 14 -- Etiny=-22 sqtx810 squareroot 1E-21 -> 3.16227766017E-11 Underflow Subnormal Inexact Rounded sqtx811 squareroot 10E-22 -> 3.16227766017E-11 Underflow Subnormal Inexact Rounded -sqtx812 squareroot 1E-22 -> 1E-11 Subnormal -- Exact Subnormal case +sqtx812 squareroot 1E-22 -> 1E-11 Subnormal -- exact Subnormal case +-- Not enough digits? +precision: 16 +maxExponent: 384 +minExponent: -383 +rounding: half_even +sqtx815 squareroot 1.0000000001000000E-78 -> 1.000000000050000E-39 Inexact Rounded +-- 1 234567890123456 -- special values maxexponent: 999 @@ -2954,5 +2963,842 @@ sqtx826 squareroot NaN456 -> NaN456 sqtx827 squareroot -NaN654 -> -NaN654 sqtx828 squareroot NaN1 -> NaN1 +-- payload decapitate +precision: 5 +sqtx840 squareroot -sNaN1234567890 -> -NaN67890 Invalid_operation + +------------------------------------------------------------------------ +-- +-- Special thanks to Mark Dickinson for tests in the range 8000-8999. +-- +-- Extra tests for the square root function, dealing with a variety of +-- corner cases. In particular, these tests concentrate on +-- (1) cases where the input precision exceeds the context precision, and +-- (2) cases where the input exponent is outside the current context, +-- and in particular when the result is subnormal +-- +-- maxexponent and minexponent are set to 9 and -9 for most of these +-- cases; only the precision changes. The rounding also does not +-- change, because it is ignored for this operation. +maxexponent: 9 +minexponent: -9 + +-- exact results, input precision > context precision +precision: 1 +sqtx8000 squareroot 0 -> 0 +sqtx8001 squareroot 1 -> 1 +sqtx8002 squareroot 4 -> 2 +sqtx8003 squareroot 9 -> 3 +sqtx8004 squareroot 16 -> 4 +sqtx8005 squareroot 25 -> 5 +sqtx8006 squareroot 36 -> 6 +sqtx8007 squareroot 49 -> 7 +sqtx8008 squareroot 64 -> 8 +sqtx8009 squareroot 81 -> 9 +sqtx8010 squareroot 100 -> 1E+1 Rounded +sqtx8011 squareroot 121 -> 1E+1 Inexact Rounded + +precision: 2 +sqtx8012 squareroot 0 -> 0 +sqtx8013 squareroot 1 -> 1 +sqtx8014 squareroot 4 -> 2 +sqtx8015 squareroot 9 -> 3 +sqtx8016 squareroot 16 -> 4 +sqtx8017 squareroot 25 -> 5 +sqtx8018 squareroot 36 -> 6 +sqtx8019 squareroot 49 -> 7 +sqtx8020 squareroot 64 -> 8 +sqtx8021 squareroot 81 -> 9 +sqtx8022 squareroot 100 -> 10 +sqtx8023 squareroot 121 -> 11 +sqtx8024 squareroot 144 -> 12 +sqtx8025 squareroot 169 -> 13 +sqtx8026 squareroot 196 -> 14 +sqtx8027 squareroot 225 -> 15 +sqtx8028 squareroot 256 -> 16 +sqtx8029 squareroot 289 -> 17 +sqtx8030 squareroot 324 -> 18 +sqtx8031 squareroot 361 -> 19 +sqtx8032 squareroot 400 -> 20 +sqtx8033 squareroot 441 -> 21 +sqtx8034 squareroot 484 -> 22 +sqtx8035 squareroot 529 -> 23 +sqtx8036 squareroot 576 -> 24 +sqtx8037 squareroot 625 -> 25 +sqtx8038 squareroot 676 -> 26 +sqtx8039 squareroot 729 -> 27 +sqtx8040 squareroot 784 -> 28 +sqtx8041 squareroot 841 -> 29 +sqtx8042 squareroot 900 -> 30 +sqtx8043 squareroot 961 -> 31 +sqtx8044 squareroot 1024 -> 32 +sqtx8045 squareroot 1089 -> 33 +sqtx8046 squareroot 1156 -> 34 +sqtx8047 squareroot 1225 -> 35 +sqtx8048 squareroot 1296 -> 36 +sqtx8049 squareroot 1369 -> 37 +sqtx8050 squareroot 1444 -> 38 +sqtx8051 squareroot 1521 -> 39 +sqtx8052 squareroot 1600 -> 40 +sqtx8053 squareroot 1681 -> 41 +sqtx8054 squareroot 1764 -> 42 +sqtx8055 squareroot 1849 -> 43 +sqtx8056 squareroot 1936 -> 44 +sqtx8057 squareroot 2025 -> 45 +sqtx8058 squareroot 2116 -> 46 +sqtx8059 squareroot 2209 -> 47 +sqtx8060 squareroot 2304 -> 48 +sqtx8061 squareroot 2401 -> 49 +sqtx8062 squareroot 2500 -> 50 +sqtx8063 squareroot 2601 -> 51 +sqtx8064 squareroot 2704 -> 52 +sqtx8065 squareroot 2809 -> 53 +sqtx8066 squareroot 2916 -> 54 +sqtx8067 squareroot 3025 -> 55 +sqtx8068 squareroot 3136 -> 56 +sqtx8069 squareroot 3249 -> 57 +sqtx8070 squareroot 3364 -> 58 +sqtx8071 squareroot 3481 -> 59 +sqtx8072 squareroot 3600 -> 60 +sqtx8073 squareroot 3721 -> 61 +sqtx8074 squareroot 3844 -> 62 +sqtx8075 squareroot 3969 -> 63 +sqtx8076 squareroot 4096 -> 64 +sqtx8077 squareroot 4225 -> 65 +sqtx8078 squareroot 4356 -> 66 +sqtx8079 squareroot 4489 -> 67 +sqtx8080 squareroot 4624 -> 68 +sqtx8081 squareroot 4761 -> 69 +sqtx8082 squareroot 4900 -> 70 +sqtx8083 squareroot 5041 -> 71 +sqtx8084 squareroot 5184 -> 72 +sqtx8085 squareroot 5329 -> 73 +sqtx8086 squareroot 5476 -> 74 +sqtx8087 squareroot 5625 -> 75 +sqtx8088 squareroot 5776 -> 76 +sqtx8089 squareroot 5929 -> 77 +sqtx8090 squareroot 6084 -> 78 +sqtx8091 squareroot 6241 -> 79 +sqtx8092 squareroot 6400 -> 80 +sqtx8093 squareroot 6561 -> 81 +sqtx8094 squareroot 6724 -> 82 +sqtx8095 squareroot 6889 -> 83 +sqtx8096 squareroot 7056 -> 84 +sqtx8097 squareroot 7225 -> 85 +sqtx8098 squareroot 7396 -> 86 +sqtx8099 squareroot 7569 -> 87 +sqtx8100 squareroot 7744 -> 88 +sqtx8101 squareroot 7921 -> 89 +sqtx8102 squareroot 8100 -> 90 +sqtx8103 squareroot 8281 -> 91 +sqtx8104 squareroot 8464 -> 92 +sqtx8105 squareroot 8649 -> 93 +sqtx8106 squareroot 8836 -> 94 +sqtx8107 squareroot 9025 -> 95 +sqtx8108 squareroot 9216 -> 96 +sqtx8109 squareroot 9409 -> 97 +sqtx8110 squareroot 9604 -> 98 +sqtx8111 squareroot 9801 -> 99 +sqtx8112 squareroot 10000 -> 1.0E+2 Rounded +sqtx8113 squareroot 10201 -> 1.0E+2 Inexact Rounded + +precision: 3 +sqtx8114 squareroot 841 -> 29 +sqtx8115 squareroot 1600 -> 40 +sqtx8116 squareroot 2209 -> 47 +sqtx8117 squareroot 9604 -> 98 +sqtx8118 squareroot 21316 -> 146 +sqtx8119 squareroot 52441 -> 229 +sqtx8120 squareroot 68644 -> 262 +sqtx8121 squareroot 69696 -> 264 +sqtx8122 squareroot 70225 -> 265 +sqtx8123 squareroot 76729 -> 277 +sqtx8124 squareroot 130321 -> 361 +sqtx8125 squareroot 171396 -> 414 +sqtx8126 squareroot 270400 -> 520 +sqtx8127 squareroot 279841 -> 529 +sqtx8128 squareroot 407044 -> 638 +sqtx8129 squareroot 408321 -> 639 +sqtx8130 squareroot 480249 -> 693 +sqtx8131 squareroot 516961 -> 719 +sqtx8132 squareroot 692224 -> 832 +sqtx8133 squareroot 829921 -> 911 + +-- selection of random exact results +precision: 6 +sqtx8134 squareroot 2.25E-12 -> 0.0000015 +sqtx8135 squareroot 8.41E-14 -> 2.9E-7 +sqtx8136 squareroot 6.241E-15 -> 7.9E-8 +sqtx8137 squareroot 5.041E+13 -> 7.1E+6 +sqtx8138 squareroot 4761 -> 69 +sqtx8139 squareroot 1.369E+17 -> 3.7E+8 +sqtx8140 squareroot 0.00002116 -> 0.0046 +sqtx8141 squareroot 7.29E+4 -> 2.7E+2 +sqtx8142 squareroot 4.624E-13 -> 6.8E-7 +sqtx8143 squareroot 3.969E+5 -> 6.3E+2 +sqtx8144 squareroot 3.73321E-11 -> 0.00000611 +sqtx8145 squareroot 5.61001E+17 -> 7.49E+8 +sqtx8146 squareroot 2.30400E-11 -> 0.00000480 +sqtx8147 squareroot 4.30336E+17 -> 6.56E+8 +sqtx8148 squareroot 0.057121 -> 0.239 +sqtx8149 squareroot 7.225E+17 -> 8.5E+8 +sqtx8150 squareroot 3.14721E+13 -> 5.61E+6 +sqtx8151 squareroot 4.61041E+17 -> 6.79E+8 +sqtx8152 squareroot 1.39876E-15 -> 3.74E-8 +sqtx8153 squareroot 6.19369E-9 -> 0.0000787 +sqtx8154 squareroot 1.620529E-10 -> 0.00001273 +sqtx8155 squareroot 1177.1761 -> 34.31 +sqtx8156 squareroot 67043344 -> 8188 +sqtx8157 squareroot 4.84E+6 -> 2.2E+3 +sqtx8158 squareroot 1.23904E+11 -> 3.52E+5 +sqtx8159 squareroot 32604100 -> 5710 +sqtx8160 squareroot 2.9757025E-11 -> 0.000005455 +sqtx8161 squareroot 6.3760225E-9 -> 0.00007985 +sqtx8162 squareroot 4.5198729E-11 -> 0.000006723 +sqtx8163 squareroot 1.4745600E-11 -> 0.000003840 +sqtx8164 squareroot 18964283.04 -> 4354.8 +sqtx8165 squareroot 3.308895529E+13 -> 5.7523E+6 +sqtx8166 squareroot 0.0028590409 -> 0.05347 +sqtx8167 squareroot 3572.213824 -> 59.768 +sqtx8168 squareroot 4.274021376E+15 -> 6.5376E+7 +sqtx8169 squareroot 4455476.64 -> 2110.8 +sqtx8170 squareroot 38.44 -> 6.2 +sqtx8171 squareroot 68.558400 -> 8.280 +sqtx8172 squareroot 715402009 -> 26747 +sqtx8173 squareroot 93.373569 -> 9.663 +sqtx8174 squareroot 2.62144000000E+15 -> 5.12000E+7 +sqtx8175 squareroot 7.48225000000E+15 -> 8.65000E+7 +sqtx8176 squareroot 3.38724000000E-9 -> 0.0000582000 +sqtx8177 squareroot 5.64001000000E-13 -> 7.51000E-7 +sqtx8178 squareroot 5.06944000000E-15 -> 7.12000E-8 +sqtx8179 squareroot 4.95616000000E+17 -> 7.04000E+8 +sqtx8180 squareroot 0.0000242064000000 -> 0.00492000 +sqtx8181 squareroot 1.48996000000E-15 -> 3.86000E-8 +sqtx8182 squareroot 9.37024000000E+17 -> 9.68000E+8 +sqtx8183 squareroot 7128900.0000 -> 2670.00 +sqtx8184 squareroot 8.2311610000E-10 -> 0.0000286900 +sqtx8185 squareroot 482747040000 -> 694800 +sqtx8186 squareroot 4.14478440000E+17 -> 6.43800E+8 +sqtx8187 squareroot 5.10510250000E-7 -> 0.000714500 +sqtx8188 squareroot 355096.810000 -> 595.900 +sqtx8189 squareroot 14288400.0000 -> 3780.00 +sqtx8190 squareroot 3.36168040000E-15 -> 5.79800E-8 +sqtx8191 squareroot 1.70899560000E-13 -> 4.13400E-7 +sqtx8192 squareroot 0.0000378348010000 -> 0.00615100 +sqtx8193 squareroot 2.00972890000E-13 -> 4.48300E-7 +sqtx8194 squareroot 4.07222659600E-13 -> 6.38140E-7 +sqtx8195 squareroot 131486012100 -> 362610 +sqtx8196 squareroot 818192611600 -> 904540 +sqtx8197 squareroot 9.8558323600E+16 -> 3.13940E+8 +sqtx8198 squareroot 5641.06144900 -> 75.1070 +sqtx8199 squareroot 4.58789475600E+17 -> 6.77340E+8 +sqtx8200 squareroot 3.21386948100E-9 -> 0.0000566910 +sqtx8201 squareroot 3.9441960000E-8 -> 0.000198600 +sqtx8202 squareroot 242723.728900 -> 492.670 +sqtx8203 squareroot 1874.89000000 -> 43.3000 +sqtx8204 squareroot 2.56722595684E+15 -> 5.06678E+7 +sqtx8205 squareroot 3.96437714689E-17 -> 6.29633E-9 +sqtx8206 squareroot 3.80106774784E-17 -> 6.16528E-9 +sqtx8207 squareroot 1.42403588496E-13 -> 3.77364E-7 +sqtx8208 squareroot 4604.84388100 -> 67.8590 +sqtx8209 squareroot 2157100869.16 -> 46444.6 +sqtx8210 squareroot 355288570.81 -> 18849.1 +sqtx8211 squareroot 4.69775901604E-11 -> 0.00000685402 +sqtx8212 squareroot 8.22115770436E+17 -> 9.06706E+8 +sqtx8213 squareroot 7.16443744900E+15 -> 8.46430E+7 +sqtx8214 squareroot 9.48995498896E+15 -> 9.74164E+7 +sqtx8215 squareroot 0.0000419091801129 -> 0.00647373 +sqtx8216 squareroot 5862627996.84 -> 76567.8 +sqtx8217 squareroot 9369537.3409 -> 3060.97 +sqtx8218 squareroot 7.74792529729E+17 -> 8.80223E+8 +sqtx8219 squareroot 1.08626931396E+17 -> 3.29586E+8 +sqtx8220 squareroot 8.89584739684E-7 -> 0.000943178 +sqtx8221 squareroot 4.0266040896E-18 -> 2.00664E-9 +sqtx8222 squareroot 9.27669480336E-7 -> 0.000963156 +sqtx8223 squareroot 0.00225497717956 -> 0.0474866 + +-- test use of round-half-even for ties +precision: 1 +sqtx8224 squareroot 225 -> 2E+1 Inexact Rounded +sqtx8225 squareroot 625 -> 2E+1 Inexact Rounded +sqtx8226 squareroot 1225 -> 4E+1 Inexact Rounded +sqtx8227 squareroot 2025 -> 4E+1 Inexact Rounded +sqtx8228 squareroot 3025 -> 6E+1 Inexact Rounded +sqtx8229 squareroot 4225 -> 6E+1 Inexact Rounded +sqtx8230 squareroot 5625 -> 8E+1 Inexact Rounded +sqtx8231 squareroot 7225 -> 8E+1 Inexact Rounded +sqtx8232 squareroot 9025 -> 1E+2 Inexact Rounded + +precision: 2 +sqtx8233 squareroot 11025 -> 1.0E+2 Inexact Rounded +sqtx8234 squareroot 13225 -> 1.2E+2 Inexact Rounded +sqtx8235 squareroot 15625 -> 1.2E+2 Inexact Rounded +sqtx8236 squareroot 18225 -> 1.4E+2 Inexact Rounded +sqtx8237 squareroot 21025 -> 1.4E+2 Inexact Rounded +sqtx8238 squareroot 24025 -> 1.6E+2 Inexact Rounded +sqtx8239 squareroot 27225 -> 1.6E+2 Inexact Rounded +sqtx8240 squareroot 30625 -> 1.8E+2 Inexact Rounded +sqtx8241 squareroot 34225 -> 1.8E+2 Inexact Rounded +sqtx8242 squareroot 38025 -> 2.0E+2 Inexact Rounded +sqtx8243 squareroot 42025 -> 2.0E+2 Inexact Rounded +sqtx8244 squareroot 46225 -> 2.2E+2 Inexact Rounded +sqtx8245 squareroot 50625 -> 2.2E+2 Inexact Rounded +sqtx8246 squareroot 55225 -> 2.4E+2 Inexact Rounded +sqtx8247 squareroot 60025 -> 2.4E+2 Inexact Rounded +sqtx8248 squareroot 65025 -> 2.6E+2 Inexact Rounded +sqtx8249 squareroot 70225 -> 2.6E+2 Inexact Rounded +sqtx8250 squareroot 75625 -> 2.8E+2 Inexact Rounded +sqtx8251 squareroot 81225 -> 2.8E+2 Inexact Rounded +sqtx8252 squareroot 87025 -> 3.0E+2 Inexact Rounded +sqtx8253 squareroot 93025 -> 3.0E+2 Inexact Rounded +sqtx8254 squareroot 99225 -> 3.2E+2 Inexact Rounded +sqtx8255 squareroot 105625 -> 3.2E+2 Inexact Rounded +sqtx8256 squareroot 112225 -> 3.4E+2 Inexact Rounded +sqtx8257 squareroot 119025 -> 3.4E+2 Inexact Rounded +sqtx8258 squareroot 126025 -> 3.6E+2 Inexact Rounded +sqtx8259 squareroot 133225 -> 3.6E+2 Inexact Rounded +sqtx8260 squareroot 140625 -> 3.8E+2 Inexact Rounded +sqtx8261 squareroot 148225 -> 3.8E+2 Inexact Rounded +sqtx8262 squareroot 156025 -> 4.0E+2 Inexact Rounded +sqtx8263 squareroot 164025 -> 4.0E+2 Inexact Rounded +sqtx8264 squareroot 172225 -> 4.2E+2 Inexact Rounded +sqtx8265 squareroot 180625 -> 4.2E+2 Inexact Rounded +sqtx8266 squareroot 189225 -> 4.4E+2 Inexact Rounded +sqtx8267 squareroot 198025 -> 4.4E+2 Inexact Rounded +sqtx8268 squareroot 207025 -> 4.6E+2 Inexact Rounded +sqtx8269 squareroot 216225 -> 4.6E+2 Inexact Rounded +sqtx8270 squareroot 225625 -> 4.8E+2 Inexact Rounded +sqtx8271 squareroot 235225 -> 4.8E+2 Inexact Rounded +sqtx8272 squareroot 245025 -> 5.0E+2 Inexact Rounded +sqtx8273 squareroot 255025 -> 5.0E+2 Inexact Rounded +sqtx8274 squareroot 265225 -> 5.2E+2 Inexact Rounded +sqtx8275 squareroot 275625 -> 5.2E+2 Inexact Rounded +sqtx8276 squareroot 286225 -> 5.4E+2 Inexact Rounded +sqtx8277 squareroot 297025 -> 5.4E+2 Inexact Rounded +sqtx8278 squareroot 308025 -> 5.6E+2 Inexact Rounded +sqtx8279 squareroot 319225 -> 5.6E+2 Inexact Rounded +sqtx8280 squareroot 330625 -> 5.8E+2 Inexact Rounded +sqtx8281 squareroot 342225 -> 5.8E+2 Inexact Rounded +sqtx8282 squareroot 354025 -> 6.0E+2 Inexact Rounded +sqtx8283 squareroot 366025 -> 6.0E+2 Inexact Rounded +sqtx8284 squareroot 378225 -> 6.2E+2 Inexact Rounded +sqtx8285 squareroot 390625 -> 6.2E+2 Inexact Rounded +sqtx8286 squareroot 403225 -> 6.4E+2 Inexact Rounded +sqtx8287 squareroot 416025 -> 6.4E+2 Inexact Rounded +sqtx8288 squareroot 429025 -> 6.6E+2 Inexact Rounded +sqtx8289 squareroot 442225 -> 6.6E+2 Inexact Rounded +sqtx8290 squareroot 455625 -> 6.8E+2 Inexact Rounded +sqtx8291 squareroot 469225 -> 6.8E+2 Inexact Rounded +sqtx8292 squareroot 483025 -> 7.0E+2 Inexact Rounded +sqtx8293 squareroot 497025 -> 7.0E+2 Inexact Rounded +sqtx8294 squareroot 511225 -> 7.2E+2 Inexact Rounded +sqtx8295 squareroot 525625 -> 7.2E+2 Inexact Rounded +sqtx8296 squareroot 540225 -> 7.4E+2 Inexact Rounded +sqtx8297 squareroot 555025 -> 7.4E+2 Inexact Rounded +sqtx8298 squareroot 570025 -> 7.6E+2 Inexact Rounded +sqtx8299 squareroot 585225 -> 7.6E+2 Inexact Rounded +sqtx8300 squareroot 600625 -> 7.8E+2 Inexact Rounded +sqtx8301 squareroot 616225 -> 7.8E+2 Inexact Rounded +sqtx8302 squareroot 632025 -> 8.0E+2 Inexact Rounded +sqtx8303 squareroot 648025 -> 8.0E+2 Inexact Rounded +sqtx8304 squareroot 664225 -> 8.2E+2 Inexact Rounded +sqtx8305 squareroot 680625 -> 8.2E+2 Inexact Rounded +sqtx8306 squareroot 697225 -> 8.4E+2 Inexact Rounded +sqtx8307 squareroot 714025 -> 8.4E+2 Inexact Rounded +sqtx8308 squareroot 731025 -> 8.6E+2 Inexact Rounded +sqtx8309 squareroot 748225 -> 8.6E+2 Inexact Rounded +sqtx8310 squareroot 765625 -> 8.8E+2 Inexact Rounded +sqtx8311 squareroot 783225 -> 8.8E+2 Inexact Rounded +sqtx8312 squareroot 801025 -> 9.0E+2 Inexact Rounded +sqtx8313 squareroot 819025 -> 9.0E+2 Inexact Rounded +sqtx8314 squareroot 837225 -> 9.2E+2 Inexact Rounded +sqtx8315 squareroot 855625 -> 9.2E+2 Inexact Rounded +sqtx8316 squareroot 874225 -> 9.4E+2 Inexact Rounded +sqtx8317 squareroot 893025 -> 9.4E+2 Inexact Rounded +sqtx8318 squareroot 912025 -> 9.6E+2 Inexact Rounded +sqtx8319 squareroot 931225 -> 9.6E+2 Inexact Rounded +sqtx8320 squareroot 950625 -> 9.8E+2 Inexact Rounded +sqtx8321 squareroot 970225 -> 9.8E+2 Inexact Rounded +sqtx8322 squareroot 990025 -> 1.0E+3 Inexact Rounded + +precision: 6 +sqtx8323 squareroot 88975734963025 -> 9.43270E+6 Inexact Rounded +sqtx8324 squareroot 71085555000625 -> 8.43122E+6 Inexact Rounded +sqtx8325 squareroot 39994304.051025 -> 6324.10 Inexact Rounded +sqtx8326 squareroot 0.000007327172265625 -> 0.00270688 Inexact Rounded +sqtx8327 squareroot 1.0258600439025E-13 -> 3.20290E-7 Inexact Rounded +sqtx8328 squareroot 0.0034580574275625 -> 0.0588052 Inexact Rounded +sqtx8329 squareroot 7.6842317700625E-7 -> 0.000876598 Inexact Rounded +sqtx8330 squareroot 1263834495.2025 -> 35550.4 Inexact Rounded +sqtx8331 squareroot 433970666460.25 -> 658764 Inexact Rounded +sqtx8332 squareroot 4.5879286230625E-7 -> 0.000677342 Inexact Rounded +sqtx8333 squareroot 0.0029305603306225 -> 0.0541346 Inexact Rounded +sqtx8334 squareroot 70218282.733225 -> 8379.64 Inexact Rounded +sqtx8335 squareroot 11942519.082025 -> 3455.80 Inexact Rounded +sqtx8336 squareroot 0.0021230668905625 -> 0.0460768 Inexact Rounded +sqtx8337 squareroot 0.90081833411025 -> 0.949114 Inexact Rounded +sqtx8338 squareroot 5.5104120936225E-17 -> 7.42322E-9 Inexact Rounded +sqtx8339 squareroot 0.10530446854225 -> 0.324506 Inexact Rounded +sqtx8340 squareroot 8.706069866025E-14 -> 2.95060E-7 Inexact Rounded +sqtx8341 squareroot 23838.58800625 -> 154.398 Inexact Rounded +sqtx8342 squareroot 0.0013426911275625 -> 0.0366428 Inexact Rounded + +-- test use of round-half-even in underflow situations + +-- precisions 2; all cases where result is both subnormal and a tie +precision: 2 +sqtx8343 squareroot 2.5E-21 -> 0E-10 Underflow Subnormal Inexact Rounded Clamped +sqtx8344 squareroot 2.25E-20 -> 2E-10 Underflow Subnormal Inexact Rounded +sqtx8345 squareroot 6.25E-20 -> 2E-10 Underflow Subnormal Inexact Rounded +sqtx8346 squareroot 1.225E-19 -> 4E-10 Underflow Subnormal Inexact Rounded +sqtx8347 squareroot 2.025E-19 -> 4E-10 Underflow Subnormal Inexact Rounded +sqtx8348 squareroot 3.025E-19 -> 6E-10 Underflow Subnormal Inexact Rounded +sqtx8349 squareroot 4.225E-19 -> 6E-10 Underflow Subnormal Inexact Rounded +sqtx8350 squareroot 5.625E-19 -> 8E-10 Underflow Subnormal Inexact Rounded +sqtx8351 squareroot 7.225E-19 -> 8E-10 Underflow Subnormal Inexact Rounded +sqtx8352 squareroot 9.025E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded + +-- precision 3, input precision <= 5 +precision: 3 +sqtx8353 squareroot 2.5E-23 -> 0E-11 Underflow Subnormal Inexact Rounded Clamped +sqtx8354 squareroot 2.25E-22 -> 2E-11 Underflow Subnormal Inexact Rounded +sqtx8355 squareroot 6.25E-22 -> 2E-11 Underflow Subnormal Inexact Rounded +sqtx8356 squareroot 1.225E-21 -> 4E-11 Underflow Subnormal Inexact Rounded +sqtx8357 squareroot 2.025E-21 -> 4E-11 Underflow Subnormal Inexact Rounded +sqtx8358 squareroot 3.025E-21 -> 6E-11 Underflow Subnormal Inexact Rounded +sqtx8359 squareroot 4.225E-21 -> 6E-11 Underflow Subnormal Inexact Rounded +sqtx8360 squareroot 5.625E-21 -> 8E-11 Underflow Subnormal Inexact Rounded +sqtx8361 squareroot 7.225E-21 -> 8E-11 Underflow Subnormal Inexact Rounded +sqtx8362 squareroot 9.025E-21 -> 1.0E-10 Underflow Subnormal Inexact Rounded +sqtx8363 squareroot 1.1025E-20 -> 1.0E-10 Underflow Subnormal Inexact Rounded +sqtx8364 squareroot 1.3225E-20 -> 1.2E-10 Underflow Subnormal Inexact Rounded +sqtx8365 squareroot 1.5625E-20 -> 1.2E-10 Underflow Subnormal Inexact Rounded +sqtx8366 squareroot 1.8225E-20 -> 1.4E-10 Underflow Subnormal Inexact Rounded +sqtx8367 squareroot 2.1025E-20 -> 1.4E-10 Underflow Subnormal Inexact Rounded +sqtx8368 squareroot 2.4025E-20 -> 1.6E-10 Underflow Subnormal Inexact Rounded +sqtx8369 squareroot 2.7225E-20 -> 1.6E-10 Underflow Subnormal Inexact Rounded +sqtx8370 squareroot 3.0625E-20 -> 1.8E-10 Underflow Subnormal Inexact Rounded +sqtx8371 squareroot 3.4225E-20 -> 1.8E-10 Underflow Subnormal Inexact Rounded +sqtx8372 squareroot 3.8025E-20 -> 2.0E-10 Underflow Subnormal Inexact Rounded +sqtx8373 squareroot 4.2025E-20 -> 2.0E-10 Underflow Subnormal Inexact Rounded +sqtx8374 squareroot 4.6225E-20 -> 2.2E-10 Underflow Subnormal Inexact Rounded +sqtx8375 squareroot 5.0625E-20 -> 2.2E-10 Underflow Subnormal Inexact Rounded +sqtx8376 squareroot 5.5225E-20 -> 2.4E-10 Underflow Subnormal Inexact Rounded +sqtx8377 squareroot 6.0025E-20 -> 2.4E-10 Underflow Subnormal Inexact Rounded +sqtx8378 squareroot 6.5025E-20 -> 2.6E-10 Underflow Subnormal Inexact Rounded +sqtx8379 squareroot 7.0225E-20 -> 2.6E-10 Underflow Subnormal Inexact Rounded +sqtx8380 squareroot 7.5625E-20 -> 2.8E-10 Underflow Subnormal Inexact Rounded +sqtx8381 squareroot 8.1225E-20 -> 2.8E-10 Underflow Subnormal Inexact Rounded +sqtx8382 squareroot 8.7025E-20 -> 3.0E-10 Underflow Subnormal Inexact Rounded +sqtx8383 squareroot 9.3025E-20 -> 3.0E-10 Underflow Subnormal Inexact Rounded +sqtx8384 squareroot 9.9225E-20 -> 3.2E-10 Underflow Subnormal Inexact Rounded + +--precision 4, input precision <= 4 +precision: 4 +sqtx8385 squareroot 2.5E-25 -> 0E-12 Underflow Subnormal Inexact Rounded Clamped +sqtx8386 squareroot 2.25E-24 -> 2E-12 Underflow Subnormal Inexact Rounded +sqtx8387 squareroot 6.25E-24 -> 2E-12 Underflow Subnormal Inexact Rounded +sqtx8388 squareroot 1.225E-23 -> 4E-12 Underflow Subnormal Inexact Rounded +sqtx8389 squareroot 2.025E-23 -> 4E-12 Underflow Subnormal Inexact Rounded +sqtx8390 squareroot 3.025E-23 -> 6E-12 Underflow Subnormal Inexact Rounded +sqtx8391 squareroot 4.225E-23 -> 6E-12 Underflow Subnormal Inexact Rounded +sqtx8392 squareroot 5.625E-23 -> 8E-12 Underflow Subnormal Inexact Rounded +sqtx8393 squareroot 7.225E-23 -> 8E-12 Underflow Subnormal Inexact Rounded +sqtx8394 squareroot 9.025E-23 -> 1.0E-11 Underflow Subnormal Inexact Rounded + +--precision 5, input precision <= 5 +precision: 5 +sqtx8395 squareroot 2.5E-27 -> 0E-13 Underflow Subnormal Inexact Rounded Clamped +sqtx8396 squareroot 2.25E-26 -> 2E-13 Underflow Subnormal Inexact Rounded +sqtx8397 squareroot 6.25E-26 -> 2E-13 Underflow Subnormal Inexact Rounded +sqtx8398 squareroot 1.225E-25 -> 4E-13 Underflow Subnormal Inexact Rounded +sqtx8399 squareroot 2.025E-25 -> 4E-13 Underflow Subnormal Inexact Rounded +sqtx8400 squareroot 3.025E-25 -> 6E-13 Underflow Subnormal Inexact Rounded +sqtx8401 squareroot 4.225E-25 -> 6E-13 Underflow Subnormal Inexact Rounded +sqtx8402 squareroot 5.625E-25 -> 8E-13 Underflow Subnormal Inexact Rounded +sqtx8403 squareroot 7.225E-25 -> 8E-13 Underflow Subnormal Inexact Rounded +sqtx8404 squareroot 9.025E-25 -> 1.0E-12 Underflow Subnormal Inexact Rounded +sqtx8405 squareroot 1.1025E-24 -> 1.0E-12 Underflow Subnormal Inexact Rounded +sqtx8406 squareroot 1.3225E-24 -> 1.2E-12 Underflow Subnormal Inexact Rounded +sqtx8407 squareroot 1.5625E-24 -> 1.2E-12 Underflow Subnormal Inexact Rounded +sqtx8408 squareroot 1.8225E-24 -> 1.4E-12 Underflow Subnormal Inexact Rounded +sqtx8409 squareroot 2.1025E-24 -> 1.4E-12 Underflow Subnormal Inexact Rounded +sqtx8410 squareroot 2.4025E-24 -> 1.6E-12 Underflow Subnormal Inexact Rounded +sqtx8411 squareroot 2.7225E-24 -> 1.6E-12 Underflow Subnormal Inexact Rounded +sqtx8412 squareroot 3.0625E-24 -> 1.8E-12 Underflow Subnormal Inexact Rounded +sqtx8413 squareroot 3.4225E-24 -> 1.8E-12 Underflow Subnormal Inexact Rounded +sqtx8414 squareroot 3.8025E-24 -> 2.0E-12 Underflow Subnormal Inexact Rounded +sqtx8415 squareroot 4.2025E-24 -> 2.0E-12 Underflow Subnormal Inexact Rounded +sqtx8416 squareroot 4.6225E-24 -> 2.2E-12 Underflow Subnormal Inexact Rounded +sqtx8417 squareroot 5.0625E-24 -> 2.2E-12 Underflow Subnormal Inexact Rounded +sqtx8418 squareroot 5.5225E-24 -> 2.4E-12 Underflow Subnormal Inexact Rounded +sqtx8419 squareroot 6.0025E-24 -> 2.4E-12 Underflow Subnormal Inexact Rounded +sqtx8420 squareroot 6.5025E-24 -> 2.6E-12 Underflow Subnormal Inexact Rounded +sqtx8421 squareroot 7.0225E-24 -> 2.6E-12 Underflow Subnormal Inexact Rounded +sqtx8422 squareroot 7.5625E-24 -> 2.8E-12 Underflow Subnormal Inexact Rounded +sqtx8423 squareroot 8.1225E-24 -> 2.8E-12 Underflow Subnormal Inexact Rounded +sqtx8424 squareroot 8.7025E-24 -> 3.0E-12 Underflow Subnormal Inexact Rounded +sqtx8425 squareroot 9.3025E-24 -> 3.0E-12 Underflow Subnormal Inexact Rounded +sqtx8426 squareroot 9.9225E-24 -> 3.2E-12 Underflow Subnormal Inexact Rounded + +-- a random selection of values that Python2.5.1 rounds incorrectly +precision: 1 +sqtx8427 squareroot 227 -> 2E+1 Inexact Rounded +sqtx8428 squareroot 625 -> 2E+1 Inexact Rounded +sqtx8429 squareroot 1215 -> 3E+1 Inexact Rounded +sqtx8430 squareroot 2008 -> 4E+1 Inexact Rounded +sqtx8431 squareroot 2020 -> 4E+1 Inexact Rounded +sqtx8432 squareroot 2026 -> 5E+1 Inexact Rounded +sqtx8433 squareroot 2027 -> 5E+1 Inexact Rounded +sqtx8434 squareroot 2065 -> 5E+1 Inexact Rounded +sqtx8435 squareroot 2075 -> 5E+1 Inexact Rounded +sqtx8436 squareroot 2088 -> 5E+1 Inexact Rounded +sqtx8437 squareroot 3049 -> 6E+1 Inexact Rounded +sqtx8438 squareroot 3057 -> 6E+1 Inexact Rounded +sqtx8439 squareroot 3061 -> 6E+1 Inexact Rounded +sqtx8440 squareroot 3092 -> 6E+1 Inexact Rounded +sqtx8441 squareroot 4222 -> 6E+1 Inexact Rounded +sqtx8442 squareroot 5676 -> 8E+1 Inexact Rounded +sqtx8443 squareroot 5686 -> 8E+1 Inexact Rounded +sqtx8444 squareroot 7215 -> 8E+1 Inexact Rounded +sqtx8445 squareroot 9086 -> 1E+2 Inexact Rounded +sqtx8446 squareroot 9095 -> 1E+2 Inexact Rounded + +precision: 2 +sqtx8447 squareroot 1266 -> 36 Inexact Rounded +sqtx8448 squareroot 2552 -> 51 Inexact Rounded +sqtx8449 squareroot 5554 -> 75 Inexact Rounded +sqtx8450 squareroot 7832 -> 88 Inexact Rounded +sqtx8451 squareroot 13201 -> 1.1E+2 Inexact Rounded +sqtx8452 squareroot 15695 -> 1.3E+2 Inexact Rounded +sqtx8453 squareroot 18272 -> 1.4E+2 Inexact Rounded +sqtx8454 squareroot 21026 -> 1.5E+2 Inexact Rounded +sqtx8455 squareroot 24069 -> 1.6E+2 Inexact Rounded +sqtx8456 squareroot 34277 -> 1.9E+2 Inexact Rounded +sqtx8457 squareroot 46233 -> 2.2E+2 Inexact Rounded +sqtx8458 squareroot 46251 -> 2.2E+2 Inexact Rounded +sqtx8459 squareroot 46276 -> 2.2E+2 Inexact Rounded +sqtx8460 squareroot 70214 -> 2.6E+2 Inexact Rounded +sqtx8461 squareroot 81249 -> 2.9E+2 Inexact Rounded +sqtx8462 squareroot 81266 -> 2.9E+2 Inexact Rounded +sqtx8463 squareroot 93065 -> 3.1E+2 Inexact Rounded +sqtx8464 squareroot 93083 -> 3.1E+2 Inexact Rounded +sqtx8465 squareroot 99230 -> 3.2E+2 Inexact Rounded +sqtx8466 squareroot 99271 -> 3.2E+2 Inexact Rounded + +precision: 3 +sqtx8467 squareroot 11349 -> 107 Inexact Rounded +sqtx8468 squareroot 26738 -> 164 Inexact Rounded +sqtx8469 squareroot 31508 -> 178 Inexact Rounded +sqtx8470 squareroot 44734 -> 212 Inexact Rounded +sqtx8471 squareroot 44738 -> 212 Inexact Rounded +sqtx8472 squareroot 51307 -> 227 Inexact Rounded +sqtx8473 squareroot 62259 -> 250 Inexact Rounded +sqtx8474 squareroot 75901 -> 276 Inexact Rounded +sqtx8475 squareroot 76457 -> 277 Inexact Rounded +sqtx8476 squareroot 180287 -> 425 Inexact Rounded +sqtx8477 squareroot 202053 -> 450 Inexact Rounded +sqtx8478 squareroot 235747 -> 486 Inexact Rounded +sqtx8479 squareroot 256537 -> 506 Inexact Rounded +sqtx8480 squareroot 299772 -> 548 Inexact Rounded +sqtx8481 squareroot 415337 -> 644 Inexact Rounded +sqtx8482 squareroot 617067 -> 786 Inexact Rounded +sqtx8483 squareroot 628022 -> 792 Inexact Rounded +sqtx8484 squareroot 645629 -> 804 Inexact Rounded +sqtx8485 squareroot 785836 -> 886 Inexact Rounded +sqtx8486 squareroot 993066 -> 997 Inexact Rounded + +precision: 6 +sqtx8487 squareroot 14917781 -> 3862.35 Inexact Rounded +sqtx8488 squareroot 17237238 -> 4151.78 Inexact Rounded +sqtx8489 squareroot 18054463 -> 4249.05 Inexact Rounded +sqtx8490 squareroot 19990694 -> 4471.10 Inexact Rounded +sqtx8491 squareroot 29061855 -> 5390.90 Inexact Rounded +sqtx8492 squareroot 49166257 -> 7011.87 Inexact Rounded +sqtx8493 squareroot 53082086 -> 7285.75 Inexact Rounded +sqtx8494 squareroot 56787909 -> 7535.78 Inexact Rounded +sqtx8495 squareroot 81140019 -> 9007.78 Inexact Rounded +sqtx8496 squareroot 87977554 -> 9379.64 Inexact Rounded +sqtx8497 squareroot 93624683 -> 9675.98 Inexact Rounded +sqtx8498 squareroot 98732747 -> 9936.44 Inexact Rounded +sqtx8499 squareroot 99222813 -> 9961.06 Inexact Rounded +sqtx8500 squareroot 143883626 -> 11995.2 Inexact Rounded +sqtx8501 squareroot 180433301 -> 13432.5 Inexact Rounded +sqtx8502 squareroot 227034020 -> 15067.6 Inexact Rounded +sqtx8503 squareroot 283253992 -> 16830.2 Inexact Rounded +sqtx8504 squareroot 617047954 -> 24840.4 Inexact Rounded +sqtx8505 squareroot 736870094 -> 27145.4 Inexact Rounded +sqtx8506 squareroot 897322915 -> 29955.3 Inexact Rounded + +-- results close to minimum normal +precision: 1 +sqtx8507 squareroot 1E-20 -> 0E-9 Underflow Subnormal Inexact Rounded Clamped +sqtx8508 squareroot 1E-19 -> 0E-9 Underflow Subnormal Inexact Rounded Clamped +sqtx8509 squareroot 1E-18 -> 1E-9 + +precision: 2 +sqtx8510 squareroot 8.1E-19 -> 9E-10 Subnormal +sqtx8511 squareroot 8.10E-19 -> 9E-10 Subnormal Rounded +sqtx8512 squareroot 9.0E-19 -> 9E-10 Underflow Subnormal Inexact Rounded +sqtx8513 squareroot 9.02E-19 -> 9E-10 Underflow Subnormal Inexact Rounded +sqtx8514 squareroot 9.03E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8515 squareroot 9.1E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8516 squareroot 9.9E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8517 squareroot 9.91E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8518 squareroot 9.92E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8519 squareroot 9.95E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8520 squareroot 9.98E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8521 squareroot 9.99E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +sqtx8522 squareroot 1E-18 -> 1E-9 +sqtx8523 squareroot 1.0E-18 -> 1.0E-9 +sqtx8524 squareroot 1.00E-18 -> 1.0E-9 +sqtx8525 squareroot 1.000E-18 -> 1.0E-9 Rounded +sqtx8526 squareroot 1.0000E-18 -> 1.0E-9 Rounded +sqtx8527 squareroot 1.01E-18 -> 1.0E-9 Inexact Rounded +sqtx8528 squareroot 1.02E-18 -> 1.0E-9 Inexact Rounded +sqtx8529 squareroot 1.1E-18 -> 1.0E-9 Inexact Rounded + +precision: 3 +sqtx8530 squareroot 8.1E-19 -> 9E-10 Subnormal +sqtx8531 squareroot 8.10E-19 -> 9.0E-10 Subnormal +sqtx8532 squareroot 8.100E-19 -> 9.0E-10 Subnormal +sqtx8533 squareroot 8.1000E-19 -> 9.0E-10 Subnormal Rounded +sqtx8534 squareroot 9.9E-19 -> 9.9E-10 Underflow Subnormal Inexact Rounded +sqtx8535 squareroot 9.91E-19 -> 1.00E-9 Underflow Subnormal Inexact Rounded +sqtx8536 squareroot 9.99E-19 -> 1.00E-9 Underflow Subnormal Inexact Rounded +sqtx8537 squareroot 9.998E-19 -> 1.00E-9 Underflow Subnormal Inexact Rounded +sqtx8538 squareroot 1E-18 -> 1E-9 +sqtx8539 squareroot 1.0E-18 -> 1.0E-9 +sqtx8540 squareroot 1.00E-18 -> 1.0E-9 +sqtx8541 squareroot 1.000E-18 -> 1.00E-9 +sqtx8542 squareroot 1.0000E-18 -> 1.00E-9 +sqtx8543 squareroot 1.00000E-18 -> 1.00E-9 Rounded +sqtx8544 squareroot 1.000000E-18 -> 1.00E-9 Rounded +sqtx8545 squareroot 1.01E-18 -> 1.00E-9 Inexact Rounded +sqtx8546 squareroot 1.02E-18 -> 1.01E-9 Inexact Rounded + +-- result exactly representable with precision p, but not necessarily +-- exactly representable as a subnormal; check the correct flags are raised +precision: 2 +sqtx8547 squareroot 1.21E-20 -> 1E-10 Underflow Subnormal Inexact Rounded +sqtx8548 squareroot 1.44E-20 -> 1E-10 Underflow Subnormal Inexact Rounded +sqtx8549 squareroot 9.61E-20 -> 3E-10 Underflow Subnormal Inexact Rounded +sqtx8550 squareroot 8.836E-19 -> 9E-10 Underflow Subnormal Inexact Rounded +sqtx8551 squareroot 9.216E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded + +precision: 3 +sqtx8552 squareroot 1.21E-22 -> 1E-11 Underflow Subnormal Inexact Rounded +sqtx8553 squareroot 1.21E-20 -> 1.1E-10 Subnormal +sqtx8554 squareroot 1.96E-22 -> 1E-11 Underflow Subnormal Inexact Rounded +sqtx8555 squareroot 1.96E-20 -> 1.4E-10 Subnormal +sqtx8556 squareroot 2.56E-22 -> 2E-11 Underflow Subnormal Inexact Rounded +sqtx8557 squareroot 4.00E-22 -> 2E-11 Subnormal Rounded +sqtx8558 squareroot 7.84E-22 -> 3E-11 Underflow Subnormal Inexact Rounded +sqtx8559 squareroot 9.801E-21 -> 1.0E-10 Underflow Subnormal Inexact Rounded +sqtx8560 squareroot 9.801E-19 -> 9.9E-10 Subnormal +sqtx8561 squareroot 1.0201E-20 -> 1.0E-10 Underflow Subnormal Inexact Rounded +sqtx8562 squareroot 1.1025E-20 -> 1.0E-10 Underflow Subnormal Inexact Rounded +sqtx8563 squareroot 1.1236E-20 -> 1.1E-10 Underflow Subnormal Inexact Rounded +sqtx8564 squareroot 1.2996E-20 -> 1.1E-10 Underflow Subnormal Inexact Rounded +sqtx8565 squareroot 1.3225E-20 -> 1.2E-10 Underflow Subnormal Inexact Rounded + +-- A selection of subnormal results prone to double rounding errors +precision: 2 +sqtx8566 squareroot 2.3E-21 -> 0E-10 Underflow Subnormal Inexact Rounded Clamped +sqtx8567 squareroot 2.4E-21 -> 0E-10 Underflow Subnormal Inexact Rounded Clamped +sqtx8568 squareroot 2.5E-21 -> 0E-10 Underflow Subnormal Inexact Rounded Clamped +sqtx8569 squareroot 2.6E-21 -> 1E-10 Underflow Subnormal Inexact Rounded +sqtx8570 squareroot 2.7E-21 -> 1E-10 Underflow Subnormal Inexact Rounded +sqtx8571 squareroot 2.8E-21 -> 1E-10 Underflow Subnormal Inexact Rounded +sqtx8572 squareroot 2.2E-20 -> 1E-10 Underflow Subnormal Inexact Rounded +sqtx8573 squareroot 2.3E-20 -> 2E-10 Underflow Subnormal Inexact Rounded +sqtx8574 squareroot 2.4E-20 -> 2E-10 Underflow Subnormal Inexact Rounded +sqtx8575 squareroot 6.2E-20 -> 2E-10 Underflow Subnormal Inexact Rounded +sqtx8576 squareroot 6.3E-20 -> 3E-10 Underflow Subnormal Inexact Rounded +sqtx8577 squareroot 6.4E-20 -> 3E-10 Underflow Subnormal Inexact Rounded +sqtx8578 squareroot 6.5E-20 -> 3E-10 Underflow Subnormal Inexact Rounded +sqtx8579 squareroot 1.2E-19 -> 3E-10 Underflow Subnormal Inexact Rounded +sqtx8580 squareroot 2.0E-19 -> 4E-10 Underflow Subnormal Inexact Rounded +sqtx8581 squareroot 4.2E-19 -> 6E-10 Underflow Subnormal Inexact Rounded +sqtx8582 squareroot 5.6E-19 -> 7E-10 Underflow Subnormal Inexact Rounded +sqtx8583 squareroot 5.7E-19 -> 8E-10 Underflow Subnormal Inexact Rounded +sqtx8584 squareroot 9.0E-19 -> 9E-10 Underflow Subnormal Inexact Rounded +sqtx8585 squareroot 9.1E-19 -> 1.0E-9 Underflow Subnormal Inexact Rounded +precision: 3 +sqtx8586 squareroot 2.6E-23 -> 1E-11 Underflow Subnormal Inexact Rounded +sqtx8587 squareroot 2.22E-22 -> 1E-11 Underflow Subnormal Inexact Rounded +sqtx8588 squareroot 6.07E-22 -> 2E-11 Underflow Subnormal Inexact Rounded +sqtx8589 squareroot 6.25E-22 -> 2E-11 Underflow Subnormal Inexact Rounded +sqtx8590 squareroot 6.45E-22 -> 3E-11 Underflow Subnormal Inexact Rounded +sqtx8591 squareroot 6.50E-22 -> 3E-11 Underflow Subnormal Inexact Rounded +sqtx8592 squareroot 1.22E-21 -> 3E-11 Underflow Subnormal Inexact Rounded +sqtx8593 squareroot 1.24E-21 -> 4E-11 Underflow Subnormal Inexact Rounded +sqtx8594 squareroot 4.18E-21 -> 6E-11 Underflow Subnormal Inexact Rounded +sqtx8595 squareroot 7.19E-21 -> 8E-11 Underflow Subnormal Inexact Rounded +sqtx8596 squareroot 8.94E-21 -> 9E-11 Underflow Subnormal Inexact Rounded +sqtx8597 squareroot 1.81E-20 -> 1.3E-10 Underflow Subnormal Inexact Rounded +sqtx8598 squareroot 4.64E-20 -> 2.2E-10 Underflow Subnormal Inexact Rounded +sqtx8599 squareroot 5.06E-20 -> 2.2E-10 Underflow Subnormal Inexact Rounded +sqtx8600 squareroot 5.08E-20 -> 2.3E-10 Underflow Subnormal Inexact Rounded +sqtx8601 squareroot 7.00E-20 -> 2.6E-10 Underflow Subnormal Inexact Rounded +sqtx8602 squareroot 1.81E-19 -> 4.3E-10 Underflow Subnormal Inexact Rounded +sqtx8603 squareroot 6.64E-19 -> 8.1E-10 Underflow Subnormal Inexact Rounded +sqtx8604 squareroot 7.48E-19 -> 8.6E-10 Underflow Subnormal Inexact Rounded +sqtx8605 squareroot 9.91E-19 -> 1.00E-9 Underflow Subnormal Inexact Rounded +precision: 4 +sqtx8606 squareroot 6.24E-24 -> 2E-12 Underflow Subnormal Inexact Rounded +sqtx8607 squareroot 7.162E-23 -> 8E-12 Underflow Subnormal Inexact Rounded +sqtx8608 squareroot 7.243E-23 -> 9E-12 Underflow Subnormal Inexact Rounded +sqtx8609 squareroot 8.961E-23 -> 9E-12 Underflow Subnormal Inexact Rounded +sqtx8610 squareroot 9.029E-23 -> 1.0E-11 Underflow Subnormal Inexact Rounded +sqtx8611 squareroot 4.624E-22 -> 2.2E-11 Underflow Subnormal Inexact Rounded +sqtx8612 squareroot 5.980E-22 -> 2.4E-11 Underflow Subnormal Inexact Rounded +sqtx8613 squareroot 6.507E-22 -> 2.6E-11 Underflow Subnormal Inexact Rounded +sqtx8614 squareroot 1.483E-21 -> 3.9E-11 Underflow Subnormal Inexact Rounded +sqtx8615 squareroot 3.903E-21 -> 6.2E-11 Underflow Subnormal Inexact Rounded +sqtx8616 squareroot 8.733E-21 -> 9.3E-11 Underflow Subnormal Inexact Rounded +sqtx8617 squareroot 1.781E-20 -> 1.33E-10 Underflow Subnormal Inexact Rounded +sqtx8618 squareroot 6.426E-20 -> 2.53E-10 Underflow Subnormal Inexact Rounded +sqtx8619 squareroot 7.102E-20 -> 2.66E-10 Underflow Subnormal Inexact Rounded +sqtx8620 squareroot 7.535E-20 -> 2.74E-10 Underflow Subnormal Inexact Rounded +sqtx8621 squareroot 9.892E-20 -> 3.15E-10 Underflow Subnormal Inexact Rounded +sqtx8622 squareroot 1.612E-19 -> 4.01E-10 Underflow Subnormal Inexact Rounded +sqtx8623 squareroot 1.726E-19 -> 4.15E-10 Underflow Subnormal Inexact Rounded +sqtx8624 squareroot 1.853E-19 -> 4.30E-10 Underflow Subnormal Inexact Rounded +sqtx8625 squareroot 4.245E-19 -> 6.52E-10 Underflow Subnormal Inexact Rounded + +-- clamping and overflow for large exponents +precision: 1 +sqtx8626 squareroot 1E+18 -> 1E+9 +sqtx8627 squareroot 1E+19 -> 3E+9 Inexact Rounded +sqtx8628 squareroot 9E+19 -> 9E+9 Inexact Rounded +sqtx8629 squareroot 9.1E+19 -> Infinity Overflow Inexact Rounded +sqtx8630 squareroot 1E+20 -> Infinity Overflow Inexact Rounded + +precision: 2 +sqtx8631 squareroot 1E+18 -> 1E+9 +sqtx8632 squareroot 1.0E+18 -> 1.0E+9 +sqtx8633 squareroot 1.00E+18 -> 1.0E+9 +sqtx8634 squareroot 1.000E+18 -> 1.0E+9 Rounded +sqtx8635 squareroot 1E+20 -> Infinity Overflow Inexact Rounded +clamp: 1 +sqtx8636 squareroot 1E+18 -> 1.0E+9 Clamped +sqtx8637 squareroot 1.0E+18 -> 1.0E+9 +sqtx8638 squareroot 1E+20 -> Infinity Overflow Inexact Rounded +clamp: 0 + +precision: 6 +sqtx8639 squareroot 1E+18 -> 1E+9 +sqtx8640 squareroot 1.0000000000E+18 -> 1.00000E+9 +sqtx8641 squareroot 1.00000000000E+18 -> 1.00000E+9 Rounded +sqtx8642 squareroot 1E+20 -> Infinity Overflow Inexact Rounded +clamp: 1 +sqtx8643 squareroot 1E+8 -> 1E+4 +sqtx8644 squareroot 1E+10 -> 1.0E+5 Clamped +sqtx8645 squareroot 1.0E+10 -> 1.0E+5 +sqtx8646 squareroot 1E+12 -> 1.00E+6 Clamped +sqtx8647 squareroot 1.0E+12 -> 1.00E+6 Clamped +sqtx8648 squareroot 1.00E+12 -> 1.00E+6 Clamped +sqtx8649 squareroot 1.000E+12 -> 1.00E+6 +sqtx8650 squareroot 1E+18 -> 1.00000E+9 Clamped +sqtx8651 squareroot 1.00000000E+18 -> 1.00000E+9 Clamped +sqtx8652 squareroot 1.000000000E+18 -> 1.00000E+9 +sqtx8653 squareroot 1E+20 -> Infinity Overflow Inexact Rounded +clamp: 0 + +-- The following example causes a TypeError in Python 2.5.1 +precision: 3 +maxexponent: 9 +minexponent: -9 +sqtx8654 squareroot 10000000000 -> 1.00E+5 Rounded + +-- Additional tricky cases of underflown subnormals +rounding: half_even +precision: 5 +maxexponent: 999 +minexponent: -999 +sqtx8700 squareroot 2.8073E-2000 -> 1.675E-1000 Underflow Subnormal Inexact Rounded +sqtx8701 squareroot 2.8883E-2000 -> 1.699E-1000 Underflow Subnormal Inexact Rounded +sqtx8702 squareroot 3.1524E-2000 -> 1.775E-1000 Underflow Subnormal Inexact Rounded +sqtx8703 squareroot 3.2382E-2000 -> 1.799E-1000 Underflow Subnormal Inexact Rounded +sqtx8704 squareroot 3.5175E-2000 -> 1.875E-1000 Underflow Subnormal Inexact Rounded +sqtx8705 squareroot 3.6081E-2000 -> 1.899E-1000 Underflow Subnormal Inexact Rounded +sqtx8706 squareroot 3.9026E-2000 -> 1.975E-1000 Underflow Subnormal Inexact Rounded +sqtx8707 squareroot 3.9980E-2000 -> 1.999E-1000 Underflow Subnormal Inexact Rounded +sqtx8708 squareroot 4.3077E-2000 -> 2.075E-1000 Underflow Subnormal Inexact Rounded +sqtx8709 squareroot 4.4079E-2000 -> 2.099E-1000 Underflow Subnormal Inexact Rounded +sqtx8710 squareroot 4.7328E-2000 -> 2.175E-1000 Underflow Subnormal Inexact Rounded +sqtx8711 squareroot 4.8378E-2000 -> 2.199E-1000 Underflow Subnormal Inexact Rounded +sqtx8712 squareroot 5.1779E-2000 -> 2.275E-1000 Underflow Subnormal Inexact Rounded +sqtx8713 squareroot 5.2877E-2000 -> 2.299E-1000 Underflow Subnormal Inexact Rounded +sqtx8714 squareroot 5.6430E-2000 -> 2.375E-1000 Underflow Subnormal Inexact Rounded +sqtx8715 squareroot 5.7576E-2000 -> 2.399E-1000 Underflow Subnormal Inexact Rounded +sqtx8716 squareroot 6.1281E-2000 -> 2.475E-1000 Underflow Subnormal Inexact Rounded +sqtx8717 squareroot 6.2475E-2000 -> 2.499E-1000 Underflow Subnormal Inexact Rounded +sqtx8718 squareroot 6.6332E-2000 -> 2.575E-1000 Underflow Subnormal Inexact Rounded +sqtx8719 squareroot 6.7574E-2000 -> 2.599E-1000 Underflow Subnormal Inexact Rounded +sqtx8720 squareroot 7.1583E-2000 -> 2.675E-1000 Underflow Subnormal Inexact Rounded +sqtx8721 squareroot 7.2873E-2000 -> 2.699E-1000 Underflow Subnormal Inexact Rounded +sqtx8722 squareroot 7.7034E-2000 -> 2.775E-1000 Underflow Subnormal Inexact Rounded +sqtx8723 squareroot 7.8372E-2000 -> 2.799E-1000 Underflow Subnormal Inexact Rounded +sqtx8724 squareroot 8.2685E-2000 -> 2.875E-1000 Underflow Subnormal Inexact Rounded +sqtx8725 squareroot 8.4071E-2000 -> 2.899E-1000 Underflow Subnormal Inexact Rounded +sqtx8726 squareroot 8.8536E-2000 -> 2.975E-1000 Underflow Subnormal Inexact Rounded +sqtx8727 squareroot 8.9970E-2000 -> 2.999E-1000 Underflow Subnormal Inexact Rounded +sqtx8728 squareroot 9.4587E-2000 -> 3.075E-1000 Underflow Subnormal Inexact Rounded +sqtx8729 squareroot 9.6069E-2000 -> 3.099E-1000 Underflow Subnormal Inexact Rounded +-- (End of Mark Dickinson's testcases.) + + +-- Some additional edge cases +maxexponent: 9 +minexponent: -9 +precision: 2 +sqtx9000 squareroot 9980.01 -> 1.0E+2 Inexact Rounded +precision: 3 +sqtx9001 squareroot 9980.01 -> 99.9 +precision: 4 +sqtx9002 squareroot 9980.01 -> 99.9 + +-- Exact from over-precise +precision: 4 +sqtx9003 squareroot 11025 -> 105 +precision: 3 +sqtx9004 squareroot 11025 -> 105 +precision: 2 +sqtx9005 squareroot 11025 -> 1.0E+2 Inexact Rounded +precision: 1 +sqtx9006 squareroot 11025 -> 1E+2 Inexact Rounded + +-- Out-of-bounds zeros +precision: 4 +sqtx9010 squareroot 0E-9 -> 0.00000 +sqtx9011 squareroot 0E-10 -> 0.00000 +sqtx9012 squareroot 0E-11 -> 0.000000 +sqtx9013 squareroot 0E-12 -> 0.000000 +sqtx9014 squareroot 0E-13 -> 0E-7 +sqtx9015 squareroot 0E-14 -> 0E-7 +sqtx9020 squareroot 0E-17 -> 0E-9 +sqtx9021 squareroot 0E-20 -> 0E-10 +sqtx9022 squareroot 0E-22 -> 0E-11 +sqtx9023 squareroot 0E-24 -> 0E-12 +sqtx9024 squareroot 0E-25 -> 0E-12 Clamped +sqtx9025 squareroot 0E-26 -> 0E-12 Clamped +sqtx9026 squareroot 0E-27 -> 0E-12 Clamped +sqtx9027 squareroot 0E-28 -> 0E-12 Clamped + +sqtx9030 squareroot 0E+8 -> 0E+4 +sqtx9031 squareroot 0E+10 -> 0E+5 +sqtx9032 squareroot 0E+12 -> 0E+6 +sqtx9033 squareroot 0E+14 -> 0E+7 +sqtx9034 squareroot 0E+15 -> 0E+7 +sqtx9035 squareroot 0E+16 -> 0E+8 +sqtx9036 squareroot 0E+18 -> 0E+9 +sqtx9037 squareroot 0E+19 -> 0E+9 +sqtx9038 squareroot 0E+20 -> 0E+9 Clamped +sqtx9039 squareroot 0E+21 -> 0E+9 Clamped +sqtx9040 squareroot 0E+22 -> 0E+9 Clamped + + -- Null test -sqtx900 squareroot # -> NaN Invalid_operation +sqtx9900 squareroot # -> NaN Invalid_operation |