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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
25 %.0f 9.9999999999999987e+49 -> 99999999999999986860582406952576489172979654066176
26 %.0f 1e50 -> 100000000000000007629769841091887003294964970946560
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 -- nans and infinities
85 %f nan -> nan
86 %f inf -> inf
87 %f -infinity -> -inf
88 %F nan -> NAN
89 %F infinity -> INF
90 %F -inf -> -INF
91
92 -- 'e' code formatting with explicit precision (>= 0). Output should
93 -- always have exactly the number of places after the point that were
94 -- requested.
95
96 -- zeros
97 %.0e 0 -> 0e+00
98 %.1e 0 -> 0.0e+00
99 %.2e 0 -> 0.00e+00
100 %.10e 0 -> 0.0000000000e+00
101 %.50e 0 -> 0.00000000000000000000000000000000000000000000000000e+00
102
103 -- precision 0. no decimal point in the output
104 %.0e 0.01 -> 1e-02
105 %.0e 0.1 -> 1e-01
106 %.0e 1 -> 1e+00
107 %.0e 10 -> 1e+01
108 %.0e 100 -> 1e+02
109 %.0e 0.012 -> 1e-02
110 %.0e 0.12 -> 1e-01
111 %.0e 1.2 -> 1e+00
112 %.0e 12 -> 1e+01
113 %.0e 120 -> 1e+02
114 %.0e 123.456 -> 1e+02
115 %.0e 0.000123456 -> 1e-04
116 %.0e 123456000 -> 1e+08
117 %.0e 0.5 -> 5e-01
118 %.0e 1.4 -> 1e+00
119 %.0e 1.5 -> 2e+00
120 %.0e 1.6 -> 2e+00
121 %.0e 2.4999999 -> 2e+00
122 %.0e 2.5 -> 2e+00
123 %.0e 2.5000001 -> 3e+00
124 %.0e 3.499999999999 -> 3e+00
125 %.0e 3.5 -> 4e+00
126 %.0e 4.5 -> 4e+00
127 %.0e 5.5 -> 6e+00
128 %.0e 6.5 -> 6e+00
129 %.0e 7.5 -> 8e+00
130 %.0e 8.5 -> 8e+00
131 %.0e 9.4999 -> 9e+00
132 %.0e 9.5 -> 1e+01
133 %.0e 10.5 -> 1e+01
134 %.0e 14.999 -> 1e+01
135 %.0e 15 -> 2e+01
136
137 -- precision 1
138 %.1e 0.0001 -> 1.0e-04
139 %.1e 0.001 -> 1.0e-03
140 %.1e 0.01 -> 1.0e-02
141 %.1e 0.1 -> 1.0e-01
142 %.1e 1 -> 1.0e+00
143 %.1e 10 -> 1.0e+01
144 %.1e 100 -> 1.0e+02
145 %.1e 120 -> 1.2e+02
146 %.1e 123 -> 1.2e+02
147 %.1e 123.4 -> 1.2e+02
148
149 -- precision 2
150 %.2e 0.00013 -> 1.30e-04
151 %.2e 0.000135 -> 1.35e-04
152 %.2e 0.0001357 -> 1.36e-04
153 %.2e 0.0001 -> 1.00e-04
154 %.2e 0.001 -> 1.00e-03
155 %.2e 0.01 -> 1.00e-02
156 %.2e 0.1 -> 1.00e-01
157 %.2e 1 -> 1.00e+00
158 %.2e 10 -> 1.00e+01
159 %.2e 100 -> 1.00e+02
160 %.2e 1000 -> 1.00e+03
161 %.2e 1500 -> 1.50e+03
162 %.2e 1590 -> 1.59e+03
163 %.2e 1598 -> 1.60e+03
164 %.2e 1598.7 -> 1.60e+03
165 %.2e 1598.76 -> 1.60e+03
166 %.2e 9999 -> 1.00e+04
167
168 -- omitted precision defaults to 6
169 %e 0 -> 0.000000e+00
170 %e 165 -> 1.650000e+02
171 %e 1234567 -> 1.234567e+06
172 %e 12345678 -> 1.234568e+07
173 %e 1.1 -> 1.100000e+00
174
175 -- alternate form always contains a decimal point. This only makes
176 -- a difference when precision is 0.
177
178 %#.0e 0.01 -> 1.e-02
179 %#.0e 0.1 -> 1.e-01
180 %#.0e 1 -> 1.e+00
181 %#.0e 10 -> 1.e+01
182 %#.0e 100 -> 1.e+02
183 %#.0e 0.012 -> 1.e-02
184 %#.0e 0.12 -> 1.e-01
185 %#.0e 1.2 -> 1.e+00
186 %#.0e 12 -> 1.e+01
187 %#.0e 120 -> 1.e+02
188 %#.0e 123.456 -> 1.e+02
189 %#.0e 0.000123456 -> 1.e-04
190 %#.0e 123456000 -> 1.e+08
191 %#.0e 0.5 -> 5.e-01
192 %#.0e 1.4 -> 1.e+00
193 %#.0e 1.5 -> 2.e+00
194 %#.0e 1.6 -> 2.e+00
195 %#.0e 2.4999999 -> 2.e+00
196 %#.0e 2.5 -> 2.e+00
197 %#.0e 2.5000001 -> 3.e+00
198 %#.0e 3.499999999999 -> 3.e+00
199 %#.0e 3.5 -> 4.e+00
200 %#.0e 4.5 -> 4.e+00
201 %#.0e 5.5 -> 6.e+00
202 %#.0e 6.5 -> 6.e+00
203 %#.0e 7.5 -> 8.e+00
204 %#.0e 8.5 -> 8.e+00
205 %#.0e 9.4999 -> 9.e+00
206 %#.0e 9.5 -> 1.e+01
207 %#.0e 10.5 -> 1.e+01
208 %#.0e 14.999 -> 1.e+01
209 %#.0e 15 -> 2.e+01
210 %#.1e 123.4 -> 1.2e+02
211 %#.2e 0.0001357 -> 1.36e-04
212
213 -- nans and infinities
214 %e nan -> nan
215 %e inf -> inf
216 %e -infinity -> -inf
217 %E nan -> NAN
218 %E infinity -> INF
219 %E -inf -> -INF
220
221 -- 'g' code formatting.
222
223 -- zeros
224 %.0g 0 -> 0
225 %.1g 0 -> 0
226 %.2g 0 -> 0
227 %.3g 0 -> 0
228 %.4g 0 -> 0
229 %.10g 0 -> 0
230 %.50g 0 -> 0
231 %.100g 0 -> 0
232
233 -- precision 0 doesn't make a lot of sense for the 'g' code (what does
234 -- it mean to have no significant digits?); in practice, it's interpreted
235 -- as identical to precision 1
236 %.0g 1000 -> 1e+03
237 %.0g 100 -> 1e+02
238 %.0g 10 -> 1e+01
239 %.0g 1 -> 1
240 %.0g 0.1 -> 0.1
241 %.0g 0.01 -> 0.01
242 %.0g 1e-3 -> 0.001
243 %.0g 1e-4 -> 0.0001
244 %.0g 1e-5 -> 1e-05
245 %.0g 1e-6 -> 1e-06
246 %.0g 12 -> 1e+01
247 %.0g 120 -> 1e+02
248 %.0g 1.2 -> 1
249 %.0g 0.12 -> 0.1
250 %.0g 0.012 -> 0.01
251 %.0g 0.0012 -> 0.001
252 %.0g 0.00012 -> 0.0001
253 %.0g 0.000012 -> 1e-05
254 %.0g 0.0000012 -> 1e-06
255
256 -- precision 1 identical to precision 0
257 %.1g 1000 -> 1e+03
258 %.1g 100 -> 1e+02
259 %.1g 10 -> 1e+01
260 %.1g 1 -> 1
261 %.1g 0.1 -> 0.1
262 %.1g 0.01 -> 0.01
263 %.1g 1e-3 -> 0.001
264 %.1g 1e-4 -> 0.0001
265 %.1g 1e-5 -> 1e-05
266 %.1g 1e-6 -> 1e-06
267 %.1g 12 -> 1e+01
268 %.1g 120 -> 1e+02
269 %.1g 1.2 -> 1
270 %.1g 0.12 -> 0.1
271 %.1g 0.012 -> 0.01
272 %.1g 0.0012 -> 0.001
273 %.1g 0.00012 -> 0.0001
274 %.1g 0.000012 -> 1e-05
275 %.1g 0.0000012 -> 1e-06
276
277 -- precision 2
278 %.2g 1000 -> 1e+03
279 %.2g 100 -> 1e+02
280 %.2g 10 -> 10
281 %.2g 1 -> 1
282 %.2g 0.1 -> 0.1
283 %.2g 0.01 -> 0.01
284 %.2g 0.001 -> 0.001
285 %.2g 1e-4 -> 0.0001
286 %.2g 1e-5 -> 1e-05
287 %.2g 1e-6 -> 1e-06
288 %.2g 1234 -> 1.2e+03
289 %.2g 123 -> 1.2e+02
290 %.2g 12.3 -> 12
291 %.2g 1.23 -> 1.2
292 %.2g 0.123 -> 0.12
293 %.2g 0.0123 -> 0.012
294 %.2g 0.00123 -> 0.0012
295 %.2g 0.000123 -> 0.00012
296 %.2g 0.0000123 -> 1.2e-05
297
298 -- alternate g formatting: always include decimal point and
299 -- exactly <precision> significant digits.
300 %#.0g 0 -> 0.
301 %#.1g 0 -> 0.
302 %#.2g 0 -> 0.0
303 %#.3g 0 -> 0.00
304 %#.4g 0 -> 0.000
305
306 %#.0g 0.2 -> 0.2
307 %#.1g 0.2 -> 0.2
308 %#.2g 0.2 -> 0.20
309 %#.3g 0.2 -> 0.200
310 %#.4g 0.2 -> 0.2000
311 %#.10g 0.2 -> 0.2000000000
312
313 %#.0g 2 -> 2.
314 %#.1g 2 -> 2.
315 %#.2g 2 -> 2.0
316 %#.3g 2 -> 2.00
317 %#.4g 2 -> 2.000
318
319 %#.0g 20 -> 2.e+01
320 %#.1g 20 -> 2.e+01
321 %#.2g 20 -> 20.
322 %#.3g 20 -> 20.0
323 %#.4g 20 -> 20.00
324
325 %#.0g 234.56 -> 2.e+02
326 %#.1g 234.56 -> 2.e+02
327 %#.2g 234.56 -> 2.3e+02
328 %#.3g 234.56 -> 235.
329 %#.4g 234.56 -> 234.6
330 %#.5g 234.56 -> 234.56
331 %#.6g 234.56 -> 234.560
332
333 -- nans and infinities
334 %g nan -> nan
335 %g inf -> inf
336 %g -infinity -> -inf
337 %G nan -> NAN
338 %G infinity -> INF
339 %G -inf -> -INF
340
341 -- for repr formatting see the separate test_short_repr test in
342 -- test_float.py. Not all platforms use short repr for floats.
343
344 -- str formatting. Result always includes decimal point and at
345 -- least one digit after the point, or an exponent.
346 %s 0 -> 0.0
347 %s 1 -> 1.0
348
349 %s 0.01 -> 0.01
350 %s 0.02 -> 0.02
351 %s 0.03 -> 0.03
352 %s 0.04 -> 0.04
353 %s 0.05 -> 0.05
354
355 -- str truncates to 12 significant digits
356 %s 1.234123412341 -> 1.23412341234
357 %s 1.23412341234 -> 1.23412341234
358 %s 1.2341234123 -> 1.2341234123
359
360 -- values >= 1e11 get an exponent
361 %s 10 -> 10.0
362 %s 100 -> 100.0
363 %s 1e10 -> 10000000000.0
364 %s 9.999e10 -> 99990000000.0
365 %s 99999999999 -> 99999999999.0
366 %s 99999999999.9 -> 99999999999.9
367 %s 99999999999.99 -> 1e+11
368 %s 1e11 -> 1e+11
369 %s 1e12 -> 1e+12
370
371 -- as do values < 1e-4
372 %s 1e-3 -> 0.001
373 %s 1.001e-4 -> 0.0001001
374 %s 1.000000000001e-4 -> 0.0001
375 %s 1.00000000001e-4 -> 0.000100000000001
376 %s 1.0000000001e-4 -> 0.00010000000001
377 %s 1e-4 -> 0.0001
378 %s 0.999999999999e-4 -> 9.99999999999e-05
379 %s 0.999e-4 -> 9.99e-05
380 %s 1e-5 -> 1e-05