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-- '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-- bad cases from http://bugs.python.org/issue9980
283%.12g 38210.0 -> 38210
284%.12g 37210.0 -> 37210
285%.12g 36210.0 -> 36210
286
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
322-- repr formatting.  Result always includes decimal point and at
323-- least one digit after the point, or an exponent.
324%r 0 -> 0.0
325%r 1 -> 1.0
326
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
332
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
342
343-- as do values < 1e-4
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
356