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Mark Dickinsonb08a53a2009-04-16 19:52:09 +00001-- '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 Dickinsonb08a53a2009-04-16 19:52:09 +000025%.0f 9.9999999999999987e+49 -> 99999999999999986860582406952576489172979654066176
Mark Dickinson33841c32009-05-01 15:37:04 +000026%.0f 1e50 -> 100000000000000007629769841091887003294964970946560
Mark Dickinsonb08a53a2009-04-16 19:52:09 +000027
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
282-- alternate g formatting: always include decimal point and
283-- exactly <precision> significant digits.
284%#.0g 0 -> 0.
285%#.1g 0 -> 0.
286%#.2g 0 -> 0.0
287%#.3g 0 -> 0.00
288%#.4g 0 -> 0.000
289
290%#.0g 0.2 -> 0.2
291%#.1g 0.2 -> 0.2
292%#.2g 0.2 -> 0.20
293%#.3g 0.2 -> 0.200
294%#.4g 0.2 -> 0.2000
295%#.10g 0.2 -> 0.2000000000
296
297%#.0g 2 -> 2.
298%#.1g 2 -> 2.
299%#.2g 2 -> 2.0
300%#.3g 2 -> 2.00
301%#.4g 2 -> 2.000
302
303%#.0g 20 -> 2.e+01
304%#.1g 20 -> 2.e+01
305%#.2g 20 -> 20.
306%#.3g 20 -> 20.0
307%#.4g 20 -> 20.00
308
309%#.0g 234.56 -> 2.e+02
310%#.1g 234.56 -> 2.e+02
311%#.2g 234.56 -> 2.3e+02
312%#.3g 234.56 -> 235.
313%#.4g 234.56 -> 234.6
314%#.5g 234.56 -> 234.56
315%#.6g 234.56 -> 234.560
316
317-- for repr formatting see the separate test_short_repr test in
318-- test_float.py. Not all platforms use short repr for floats.
319
320-- str formatting. Result always includes decimal point and at
321-- least one digit after the point, or an exponent.
322%s 0 -> 0.0
323%s 1 -> 1.0
324
325%s 0.01 -> 0.01
326%s 0.02 -> 0.02
327%s 0.03 -> 0.03
328%s 0.04 -> 0.04
329%s 0.05 -> 0.05
330
331-- str truncates to 12 significant digits
332%s 1.234123412341 -> 1.23412341234
333%s 1.23412341234 -> 1.23412341234
334%s 1.2341234123 -> 1.2341234123
335
336-- values >= 1e11 get an exponent
337%s 10 -> 10.0
338%s 100 -> 100.0
339%s 1e10 -> 10000000000.0
340%s 9.999e10 -> 99990000000.0
341%s 99999999999 -> 99999999999.0
Mark Dickinsond3ca5572009-04-29 18:47:07 +0000342%s 99999999999.9 -> 99999999999.9
343%s 99999999999.99 -> 1e+11
Mark Dickinsonb08a53a2009-04-16 19:52:09 +0000344%s 1e11 -> 1e+11
345%s 1e12 -> 1e+12
346
347-- as do values < 1e-4
348%s 1e-3 -> 0.001
349%s 1.001e-4 -> 0.0001001
350%s 1.000000000001e-4 -> 0.0001
351%s 1.00000000001e-4 -> 0.000100000000001
352%s 1.0000000001e-4 -> 0.00010000000001
353%s 1e-4 -> 0.0001
354%s 0.999999999999e-4 -> 9.99999999999e-05
355%s 0.999e-4 -> 9.99e-05
356%s 1e-5 -> 1e-05