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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
381