Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 1 | -- 'f' code formatting, with explicit precision (>= 0). Output always |
| 2 | -- has the given number of places after the point; zeros are added if |
| 3 | -- necessary to make this true. |
| 4 | |
| 5 | -- zeros |
| 6 | %.0f 0 -> 0 |
| 7 | %.1f 0 -> 0.0 |
| 8 | %.2f 0 -> 0.00 |
| 9 | %.3f 0 -> 0.000 |
| 10 | %.50f 0 -> 0.00000000000000000000000000000000000000000000000000 |
| 11 | |
| 12 | -- precision 0; result should never include a . |
| 13 | %.0f 1.5 -> 2 |
| 14 | %.0f 2.5 -> 2 |
| 15 | %.0f 3.5 -> 4 |
| 16 | %.0f 0.0 -> 0 |
| 17 | %.0f 0.1 -> 0 |
| 18 | %.0f 0.001 -> 0 |
| 19 | %.0f 10.0 -> 10 |
| 20 | %.0f 10.1 -> 10 |
| 21 | %.0f 10.01 -> 10 |
| 22 | %.0f 123.456 -> 123 |
| 23 | %.0f 1234.56 -> 1235 |
| 24 | %.0f 1e49 -> 9999999999999999464902769475481793196872414789632 |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 25 | %.0f 9.9999999999999987e+49 -> 99999999999999986860582406952576489172979654066176 |
Mark Dickinson | 33841c3 | 2009-05-01 15:37:04 +0000 | [diff] [blame] | 26 | %.0f 1e50 -> 100000000000000007629769841091887003294964970946560 |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 27 | |
| 28 | -- precision 1 |
| 29 | %.1f 0.0001 -> 0.0 |
| 30 | %.1f 0.001 -> 0.0 |
| 31 | %.1f 0.01 -> 0.0 |
| 32 | %.1f 0.04 -> 0.0 |
| 33 | %.1f 0.06 -> 0.1 |
| 34 | %.1f 0.25 -> 0.2 |
| 35 | %.1f 0.75 -> 0.8 |
| 36 | %.1f 1.4 -> 1.4 |
| 37 | %.1f 1.5 -> 1.5 |
| 38 | %.1f 10.0 -> 10.0 |
| 39 | %.1f 1000.03 -> 1000.0 |
| 40 | %.1f 1234.5678 -> 1234.6 |
| 41 | %.1f 1234.7499 -> 1234.7 |
| 42 | %.1f 1234.75 -> 1234.8 |
| 43 | |
| 44 | -- precision 2 |
| 45 | %.2f 0.0001 -> 0.00 |
| 46 | %.2f 0.001 -> 0.00 |
| 47 | %.2f 0.004999 -> 0.00 |
| 48 | %.2f 0.005001 -> 0.01 |
| 49 | %.2f 0.01 -> 0.01 |
| 50 | %.2f 0.125 -> 0.12 |
| 51 | %.2f 0.375 -> 0.38 |
| 52 | %.2f 1234500 -> 1234500.00 |
| 53 | %.2f 1234560 -> 1234560.00 |
| 54 | %.2f 1234567 -> 1234567.00 |
| 55 | %.2f 1234567.8 -> 1234567.80 |
| 56 | %.2f 1234567.89 -> 1234567.89 |
| 57 | %.2f 1234567.891 -> 1234567.89 |
| 58 | %.2f 1234567.8912 -> 1234567.89 |
| 59 | |
| 60 | -- alternate form always includes a decimal point. This only |
| 61 | -- makes a difference when the precision is 0. |
| 62 | %#.0f 0 -> 0. |
| 63 | %#.1f 0 -> 0.0 |
| 64 | %#.0f 1.5 -> 2. |
| 65 | %#.0f 2.5 -> 2. |
| 66 | %#.0f 10.1 -> 10. |
| 67 | %#.0f 1234.56 -> 1235. |
| 68 | %#.1f 1.4 -> 1.4 |
| 69 | %#.2f 0.375 -> 0.38 |
| 70 | |
| 71 | -- if precision is omitted it defaults to 6 |
| 72 | %f 0 -> 0.000000 |
| 73 | %f 1230000 -> 1230000.000000 |
| 74 | %f 1234567 -> 1234567.000000 |
| 75 | %f 123.4567 -> 123.456700 |
| 76 | %f 1.23456789 -> 1.234568 |
| 77 | %f 0.00012 -> 0.000120 |
| 78 | %f 0.000123 -> 0.000123 |
| 79 | %f 0.00012345 -> 0.000123 |
| 80 | %f 0.000001 -> 0.000001 |
| 81 | %f 0.0000005001 -> 0.000001 |
| 82 | %f 0.0000004999 -> 0.000000 |
| 83 | |
| 84 | -- 'e' code formatting with explicit precision (>= 0). Output should |
| 85 | -- always have exactly the number of places after the point that were |
| 86 | -- requested. |
| 87 | |
| 88 | -- zeros |
| 89 | %.0e 0 -> 0e+00 |
| 90 | %.1e 0 -> 0.0e+00 |
| 91 | %.2e 0 -> 0.00e+00 |
| 92 | %.10e 0 -> 0.0000000000e+00 |
| 93 | %.50e 0 -> 0.00000000000000000000000000000000000000000000000000e+00 |
| 94 | |
| 95 | -- precision 0. no decimal point in the output |
| 96 | %.0e 0.01 -> 1e-02 |
| 97 | %.0e 0.1 -> 1e-01 |
| 98 | %.0e 1 -> 1e+00 |
| 99 | %.0e 10 -> 1e+01 |
| 100 | %.0e 100 -> 1e+02 |
| 101 | %.0e 0.012 -> 1e-02 |
| 102 | %.0e 0.12 -> 1e-01 |
| 103 | %.0e 1.2 -> 1e+00 |
| 104 | %.0e 12 -> 1e+01 |
| 105 | %.0e 120 -> 1e+02 |
| 106 | %.0e 123.456 -> 1e+02 |
| 107 | %.0e 0.000123456 -> 1e-04 |
| 108 | %.0e 123456000 -> 1e+08 |
| 109 | %.0e 0.5 -> 5e-01 |
| 110 | %.0e 1.4 -> 1e+00 |
| 111 | %.0e 1.5 -> 2e+00 |
| 112 | %.0e 1.6 -> 2e+00 |
| 113 | %.0e 2.4999999 -> 2e+00 |
| 114 | %.0e 2.5 -> 2e+00 |
| 115 | %.0e 2.5000001 -> 3e+00 |
| 116 | %.0e 3.499999999999 -> 3e+00 |
| 117 | %.0e 3.5 -> 4e+00 |
| 118 | %.0e 4.5 -> 4e+00 |
| 119 | %.0e 5.5 -> 6e+00 |
| 120 | %.0e 6.5 -> 6e+00 |
| 121 | %.0e 7.5 -> 8e+00 |
| 122 | %.0e 8.5 -> 8e+00 |
| 123 | %.0e 9.4999 -> 9e+00 |
| 124 | %.0e 9.5 -> 1e+01 |
| 125 | %.0e 10.5 -> 1e+01 |
| 126 | %.0e 14.999 -> 1e+01 |
| 127 | %.0e 15 -> 2e+01 |
| 128 | |
| 129 | -- precision 1 |
| 130 | %.1e 0.0001 -> 1.0e-04 |
| 131 | %.1e 0.001 -> 1.0e-03 |
| 132 | %.1e 0.01 -> 1.0e-02 |
| 133 | %.1e 0.1 -> 1.0e-01 |
| 134 | %.1e 1 -> 1.0e+00 |
| 135 | %.1e 10 -> 1.0e+01 |
| 136 | %.1e 100 -> 1.0e+02 |
| 137 | %.1e 120 -> 1.2e+02 |
| 138 | %.1e 123 -> 1.2e+02 |
| 139 | %.1e 123.4 -> 1.2e+02 |
| 140 | |
| 141 | -- precision 2 |
| 142 | %.2e 0.00013 -> 1.30e-04 |
| 143 | %.2e 0.000135 -> 1.35e-04 |
| 144 | %.2e 0.0001357 -> 1.36e-04 |
| 145 | %.2e 0.0001 -> 1.00e-04 |
| 146 | %.2e 0.001 -> 1.00e-03 |
| 147 | %.2e 0.01 -> 1.00e-02 |
| 148 | %.2e 0.1 -> 1.00e-01 |
| 149 | %.2e 1 -> 1.00e+00 |
| 150 | %.2e 10 -> 1.00e+01 |
| 151 | %.2e 100 -> 1.00e+02 |
| 152 | %.2e 1000 -> 1.00e+03 |
| 153 | %.2e 1500 -> 1.50e+03 |
| 154 | %.2e 1590 -> 1.59e+03 |
| 155 | %.2e 1598 -> 1.60e+03 |
| 156 | %.2e 1598.7 -> 1.60e+03 |
| 157 | %.2e 1598.76 -> 1.60e+03 |
| 158 | %.2e 9999 -> 1.00e+04 |
| 159 | |
| 160 | -- omitted precision defaults to 6 |
| 161 | %e 0 -> 0.000000e+00 |
| 162 | %e 165 -> 1.650000e+02 |
| 163 | %e 1234567 -> 1.234567e+06 |
| 164 | %e 12345678 -> 1.234568e+07 |
| 165 | %e 1.1 -> 1.100000e+00 |
| 166 | |
| 167 | -- alternate form always contains a decimal point. This only makes |
| 168 | -- a difference when precision is 0. |
| 169 | |
| 170 | %#.0e 0.01 -> 1.e-02 |
| 171 | %#.0e 0.1 -> 1.e-01 |
| 172 | %#.0e 1 -> 1.e+00 |
| 173 | %#.0e 10 -> 1.e+01 |
| 174 | %#.0e 100 -> 1.e+02 |
| 175 | %#.0e 0.012 -> 1.e-02 |
| 176 | %#.0e 0.12 -> 1.e-01 |
| 177 | %#.0e 1.2 -> 1.e+00 |
| 178 | %#.0e 12 -> 1.e+01 |
| 179 | %#.0e 120 -> 1.e+02 |
| 180 | %#.0e 123.456 -> 1.e+02 |
| 181 | %#.0e 0.000123456 -> 1.e-04 |
| 182 | %#.0e 123456000 -> 1.e+08 |
| 183 | %#.0e 0.5 -> 5.e-01 |
| 184 | %#.0e 1.4 -> 1.e+00 |
| 185 | %#.0e 1.5 -> 2.e+00 |
| 186 | %#.0e 1.6 -> 2.e+00 |
| 187 | %#.0e 2.4999999 -> 2.e+00 |
| 188 | %#.0e 2.5 -> 2.e+00 |
| 189 | %#.0e 2.5000001 -> 3.e+00 |
| 190 | %#.0e 3.499999999999 -> 3.e+00 |
| 191 | %#.0e 3.5 -> 4.e+00 |
| 192 | %#.0e 4.5 -> 4.e+00 |
| 193 | %#.0e 5.5 -> 6.e+00 |
| 194 | %#.0e 6.5 -> 6.e+00 |
| 195 | %#.0e 7.5 -> 8.e+00 |
| 196 | %#.0e 8.5 -> 8.e+00 |
| 197 | %#.0e 9.4999 -> 9.e+00 |
| 198 | %#.0e 9.5 -> 1.e+01 |
| 199 | %#.0e 10.5 -> 1.e+01 |
| 200 | %#.0e 14.999 -> 1.e+01 |
| 201 | %#.0e 15 -> 2.e+01 |
| 202 | %#.1e 123.4 -> 1.2e+02 |
| 203 | %#.2e 0.0001357 -> 1.36e-04 |
| 204 | |
| 205 | -- 'g' code formatting. |
| 206 | |
| 207 | -- zeros |
| 208 | %.0g 0 -> 0 |
| 209 | %.1g 0 -> 0 |
| 210 | %.2g 0 -> 0 |
| 211 | %.3g 0 -> 0 |
| 212 | %.4g 0 -> 0 |
| 213 | %.10g 0 -> 0 |
| 214 | %.50g 0 -> 0 |
| 215 | %.100g 0 -> 0 |
| 216 | |
| 217 | -- precision 0 doesn't make a lot of sense for the 'g' code (what does |
| 218 | -- it mean to have no significant digits?); in practice, it's interpreted |
| 219 | -- as identical to precision 1 |
| 220 | %.0g 1000 -> 1e+03 |
| 221 | %.0g 100 -> 1e+02 |
| 222 | %.0g 10 -> 1e+01 |
| 223 | %.0g 1 -> 1 |
| 224 | %.0g 0.1 -> 0.1 |
| 225 | %.0g 0.01 -> 0.01 |
| 226 | %.0g 1e-3 -> 0.001 |
| 227 | %.0g 1e-4 -> 0.0001 |
| 228 | %.0g 1e-5 -> 1e-05 |
| 229 | %.0g 1e-6 -> 1e-06 |
| 230 | %.0g 12 -> 1e+01 |
| 231 | %.0g 120 -> 1e+02 |
| 232 | %.0g 1.2 -> 1 |
| 233 | %.0g 0.12 -> 0.1 |
| 234 | %.0g 0.012 -> 0.01 |
| 235 | %.0g 0.0012 -> 0.001 |
| 236 | %.0g 0.00012 -> 0.0001 |
| 237 | %.0g 0.000012 -> 1e-05 |
| 238 | %.0g 0.0000012 -> 1e-06 |
| 239 | |
| 240 | -- precision 1 identical to precision 0 |
| 241 | %.1g 1000 -> 1e+03 |
| 242 | %.1g 100 -> 1e+02 |
| 243 | %.1g 10 -> 1e+01 |
| 244 | %.1g 1 -> 1 |
| 245 | %.1g 0.1 -> 0.1 |
| 246 | %.1g 0.01 -> 0.01 |
| 247 | %.1g 1e-3 -> 0.001 |
| 248 | %.1g 1e-4 -> 0.0001 |
| 249 | %.1g 1e-5 -> 1e-05 |
| 250 | %.1g 1e-6 -> 1e-06 |
| 251 | %.1g 12 -> 1e+01 |
| 252 | %.1g 120 -> 1e+02 |
| 253 | %.1g 1.2 -> 1 |
| 254 | %.1g 0.12 -> 0.1 |
| 255 | %.1g 0.012 -> 0.01 |
| 256 | %.1g 0.0012 -> 0.001 |
| 257 | %.1g 0.00012 -> 0.0001 |
| 258 | %.1g 0.000012 -> 1e-05 |
| 259 | %.1g 0.0000012 -> 1e-06 |
| 260 | |
| 261 | -- precision 2 |
| 262 | %.2g 1000 -> 1e+03 |
| 263 | %.2g 100 -> 1e+02 |
| 264 | %.2g 10 -> 10 |
| 265 | %.2g 1 -> 1 |
| 266 | %.2g 0.1 -> 0.1 |
| 267 | %.2g 0.01 -> 0.01 |
| 268 | %.2g 0.001 -> 0.001 |
| 269 | %.2g 1e-4 -> 0.0001 |
| 270 | %.2g 1e-5 -> 1e-05 |
| 271 | %.2g 1e-6 -> 1e-06 |
| 272 | %.2g 1234 -> 1.2e+03 |
| 273 | %.2g 123 -> 1.2e+02 |
| 274 | %.2g 12.3 -> 12 |
| 275 | %.2g 1.23 -> 1.2 |
| 276 | %.2g 0.123 -> 0.12 |
| 277 | %.2g 0.0123 -> 0.012 |
| 278 | %.2g 0.00123 -> 0.0012 |
| 279 | %.2g 0.000123 -> 0.00012 |
| 280 | %.2g 0.0000123 -> 1.2e-05 |
| 281 | |
Mark Dickinson | 0c0714f | 2010-09-29 18:41:54 +0000 | [diff] [blame] | 282 | -- bad cases from http://bugs.python.org/issue9980 |
| 283 | %.12g 38210.0 -> 38210 |
| 284 | %.12g 37210.0 -> 37210 |
| 285 | %.12g 36210.0 -> 36210 |
| 286 | |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 287 | -- alternate g formatting: always include decimal point and |
| 288 | -- exactly <precision> significant digits. |
| 289 | %#.0g 0 -> 0. |
| 290 | %#.1g 0 -> 0. |
| 291 | %#.2g 0 -> 0.0 |
| 292 | %#.3g 0 -> 0.00 |
| 293 | %#.4g 0 -> 0.000 |
| 294 | |
| 295 | %#.0g 0.2 -> 0.2 |
| 296 | %#.1g 0.2 -> 0.2 |
| 297 | %#.2g 0.2 -> 0.20 |
| 298 | %#.3g 0.2 -> 0.200 |
| 299 | %#.4g 0.2 -> 0.2000 |
| 300 | %#.10g 0.2 -> 0.2000000000 |
| 301 | |
| 302 | %#.0g 2 -> 2. |
| 303 | %#.1g 2 -> 2. |
| 304 | %#.2g 2 -> 2.0 |
| 305 | %#.3g 2 -> 2.00 |
| 306 | %#.4g 2 -> 2.000 |
| 307 | |
| 308 | %#.0g 20 -> 2.e+01 |
| 309 | %#.1g 20 -> 2.e+01 |
| 310 | %#.2g 20 -> 20. |
| 311 | %#.3g 20 -> 20.0 |
| 312 | %#.4g 20 -> 20.00 |
| 313 | |
| 314 | %#.0g 234.56 -> 2.e+02 |
| 315 | %#.1g 234.56 -> 2.e+02 |
| 316 | %#.2g 234.56 -> 2.3e+02 |
| 317 | %#.3g 234.56 -> 235. |
| 318 | %#.4g 234.56 -> 234.6 |
| 319 | %#.5g 234.56 -> 234.56 |
| 320 | %#.6g 234.56 -> 234.560 |
| 321 | |
Mark Dickinson | 388122d | 2010-08-04 20:56:28 +0000 | [diff] [blame] | 322 | -- repr formatting. Result always includes decimal point and at |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 323 | -- least one digit after the point, or an exponent. |
Mark Dickinson | 388122d | 2010-08-04 20:56:28 +0000 | [diff] [blame] | 324 | %r 0 -> 0.0 |
| 325 | %r 1 -> 1.0 |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 326 | |
Mark Dickinson | 388122d | 2010-08-04 20:56:28 +0000 | [diff] [blame] | 327 | %r 0.01 -> 0.01 |
| 328 | %r 0.02 -> 0.02 |
| 329 | %r 0.03 -> 0.03 |
| 330 | %r 0.04 -> 0.04 |
| 331 | %r 0.05 -> 0.05 |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 332 | |
Mark Dickinson | 388122d | 2010-08-04 20:56:28 +0000 | [diff] [blame] | 333 | -- values >= 1e16 get an exponent |
| 334 | %r 10 -> 10.0 |
| 335 | %r 100 -> 100.0 |
| 336 | %r 1e15 -> 1000000000000000.0 |
| 337 | %r 9.999e15 -> 9999000000000000.0 |
| 338 | %r 9999999999999998 -> 9999999999999998.0 |
| 339 | %r 9999999999999999 -> 1e+16 |
| 340 | %r 1e16 -> 1e+16 |
| 341 | %r 1e17 -> 1e+17 |
Mark Dickinson | b08a53a | 2009-04-16 19:52:09 +0000 | [diff] [blame] | 342 | |
| 343 | -- as do values < 1e-4 |
Mark Dickinson | 388122d | 2010-08-04 20:56:28 +0000 | [diff] [blame] | 344 | %r 1e-3 -> 0.001 |
| 345 | %r 1.001e-4 -> 0.0001001 |
| 346 | %r 1.0000000000000001e-4 -> 0.0001 |
| 347 | %r 1.000000000000001e-4 -> 0.0001000000000000001 |
| 348 | %r 1.00000000001e-4 -> 0.000100000000001 |
| 349 | %r 1.0000000001e-4 -> 0.00010000000001 |
| 350 | %r 1e-4 -> 0.0001 |
| 351 | %r 0.99999999999999999e-4 -> 0.0001 |
| 352 | %r 0.9999999999999999e-4 -> 9.999999999999999e-05 |
| 353 | %r 0.999999999999e-4 -> 9.99999999999e-05 |
| 354 | %r 0.999e-4 -> 9.99e-05 |
| 355 | %r 1e-5 -> 1e-05 |