@pybee/ouroboros
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A standalone, pure Python implementation of the Python Standard Library.
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-- 'f' code formatting, with explicit precision (>= 0). Output always
-- has the given number of places after the point; zeros are added if
-- necessary to make this true.
-- zeros
.0f 0 -> 0
.1f 0 -> 0.0
.2f 0 -> 0.00
.3f 0 -> 0.000
.50f 0 -> 0.00000000000000000000000000000000000000000000000000
-- precision 0; result should never include a .
.0f 1.5 -> 2
.0f 2.5 -> 2
.0f 3.5 -> 4
.0f 0.0 -> 0
.0f 0.1 -> 0
.0f 0.001 -> 0
.0f 10.0 -> 10
.0f 10.1 -> 10
.0f 10.01 -> 10
.0f 123.456 -> 123
.0f 1234.56 -> 1235
.0f 1e49 -> 9999999999999999464902769475481793196872414789632
.0f 9.9999999999999987e+49 -> 99999999999999986860582406952576489172979654066176
.0f 1e50 -> 100000000000000007629769841091887003294964970946560
-- precision 1
.1f 0.0001 -> 0.0
.1f 0.001 -> 0.0
.1f 0.01 -> 0.0
.1f 0.04 -> 0.0
.1f 0.06 -> 0.1
.1f 0.25 -> 0.2
.1f 0.75 -> 0.8
.1f 1.4 -> 1.4
.1f 1.5 -> 1.5
.1f 10.0 -> 10.0
.1f 1000.03 -> 1000.0
.1f 1234.5678 -> 1234.6
.1f 1234.7499 -> 1234.7
.1f 1234.75 -> 1234.8
-- precision 2
.2f 0.0001 -> 0.00
.2f 0.001 -> 0.00
.2f 0.004999 -> 0.00
.2f 0.005001 -> 0.01
.2f 0.01 -> 0.01
.2f 0.125 -> 0.12
.2f 0.375 -> 0.38
.2f 1234500 -> 1234500.00
.2f 1234560 -> 1234560.00
.2f 1234567 -> 1234567.00
.2f 1234567.8 -> 1234567.80
.2f 1234567.89 -> 1234567.89
.2f 1234567.891 -> 1234567.89
.2f 1234567.8912 -> 1234567.89
-- alternate form always includes a decimal point. This only
-- makes a difference when the precision is 0.
#.0f 0 -> 0.
#.1f 0 -> 0.0
#.0f 1.5 -> 2.
#.0f 2.5 -> 2.
#.0f 10.1 -> 10.
#.0f 1234.56 -> 1235.
#.1f 1.4 -> 1.4
#.2f 0.375 -> 0.38
-- if precision is omitted it defaults to 6
f 0 -> 0.000000
f 1230000 -> 1230000.000000
f 1234567 -> 1234567.000000
f 123.4567 -> 123.456700
f 1.23456789 -> 1.234568
f 0.00012 -> 0.000120
f 0.000123 -> 0.000123
f 0.00012345 -> 0.000123
f 0.000001 -> 0.000001
f 0.0000005001 -> 0.000001
f 0.0000004999 -> 0.000000
-- 'e' code formatting with explicit precision (>= 0). Output should
-- always have exactly the number of places after the point that were
-- requested.
-- zeros
.0e 0 -> 0e+00
.1e 0 -> 0.0e+00
.2e 0 -> 0.00e+00
.10e 0 -> 0.0000000000e+00
.50e 0 -> 0.00000000000000000000000000000000000000000000000000e+00
-- precision 0. no decimal point in the output
.0e 0.01 -> 1e-02
.0e 0.1 -> 1e-01
.0e 1 -> 1e+00
.0e 10 -> 1e+01
.0e 100 -> 1e+02
.0e 0.012 -> 1e-02
.0e 0.12 -> 1e-01
.0e 1.2 -> 1e+00
.0e 12 -> 1e+01
.0e 120 -> 1e+02
.0e 123.456 -> 1e+02
.0e 0.000123456 -> 1e-04
.0e 123456000 -> 1e+08
.0e 0.5 -> 5e-01
.0e 1.4 -> 1e+00
.0e 1.5 -> 2e+00
.0e 1.6 -> 2e+00
.0e 2.4999999 -> 2e+00
.0e 2.5 -> 2e+00
.0e 2.5000001 -> 3e+00
.0e 3.499999999999 -> 3e+00
.0e 3.5 -> 4e+00
.0e 4.5 -> 4e+00
.0e 5.5 -> 6e+00
.0e 6.5 -> 6e+00
.0e 7.5 -> 8e+00
.0e 8.5 -> 8e+00
.0e 9.4999 -> 9e+00
.0e 9.5 -> 1e+01
.0e 10.5 -> 1e+01
.0e 14.999 -> 1e+01
.0e 15 -> 2e+01
-- precision 1
.1e 0.0001 -> 1.0e-04
.1e 0.001 -> 1.0e-03
.1e 0.01 -> 1.0e-02
.1e 0.1 -> 1.0e-01
.1e 1 -> 1.0e+00
.1e 10 -> 1.0e+01
.1e 100 -> 1.0e+02
.1e 120 -> 1.2e+02
.1e 123 -> 1.2e+02
.1e 123.4 -> 1.2e+02
-- precision 2
.2e 0.00013 -> 1.30e-04
.2e 0.000135 -> 1.35e-04
.2e 0.0001357 -> 1.36e-04
.2e 0.0001 -> 1.00e-04
.2e 0.001 -> 1.00e-03
.2e 0.01 -> 1.00e-02
.2e 0.1 -> 1.00e-01
.2e 1 -> 1.00e+00
.2e 10 -> 1.00e+01
.2e 100 -> 1.00e+02
.2e 1000 -> 1.00e+03
.2e 1500 -> 1.50e+03
.2e 1590 -> 1.59e+03
.2e 1598 -> 1.60e+03
.2e 1598.7 -> 1.60e+03
.2e 1598.76 -> 1.60e+03
.2e 9999 -> 1.00e+04
-- omitted precision defaults to 6
e 0 -> 0.000000e+00
e 165 -> 1.650000e+02
e 1234567 -> 1.234567e+06
e 12345678 -> 1.234568e+07
e 1.1 -> 1.100000e+00
-- alternate form always contains a decimal point. This only makes
-- a difference when precision is 0.
#.0e 0.01 -> 1.e-02
#.0e 0.1 -> 1.e-01
#.0e 1 -> 1.e+00
#.0e 10 -> 1.e+01
#.0e 100 -> 1.e+02
#.0e 0.012 -> 1.e-02
#.0e 0.12 -> 1.e-01
#.0e 1.2 -> 1.e+00
#.0e 12 -> 1.e+01
#.0e 120 -> 1.e+02
#.0e 123.456 -> 1.e+02
#.0e 0.000123456 -> 1.e-04
#.0e 123456000 -> 1.e+08
#.0e 0.5 -> 5.e-01
#.0e 1.4 -> 1.e+00
#.0e 1.5 -> 2.e+00
#.0e 1.6 -> 2.e+00
#.0e 2.4999999 -> 2.e+00
#.0e 2.5 -> 2.e+00
#.0e 2.5000001 -> 3.e+00
#.0e 3.499999999999 -> 3.e+00
#.0e 3.5 -> 4.e+00
#.0e 4.5 -> 4.e+00
#.0e 5.5 -> 6.e+00
#.0e 6.5 -> 6.e+00
#.0e 7.5 -> 8.e+00
#.0e 8.5 -> 8.e+00
#.0e 9.4999 -> 9.e+00
#.0e 9.5 -> 1.e+01
#.0e 10.5 -> 1.e+01
#.0e 14.999 -> 1.e+01
#.0e 15 -> 2.e+01
#.1e 123.4 -> 1.2e+02
#.2e 0.0001357 -> 1.36e-04
-- 'g' code formatting.
-- zeros
.0g 0 -> 0
.1g 0 -> 0
.2g 0 -> 0
.3g 0 -> 0
.4g 0 -> 0
.10g 0 -> 0
.50g 0 -> 0
.100g 0 -> 0
-- precision 0 doesn't make a lot of sense for the 'g' code (what does
-- it mean to have no significant digits?); in practice, it's interpreted
-- as identical to precision 1
.0g 1000 -> 1e+03
.0g 100 -> 1e+02
.0g 10 -> 1e+01
.0g 1 -> 1
.0g 0.1 -> 0.1
.0g 0.01 -> 0.01
.0g 1e-3 -> 0.001
.0g 1e-4 -> 0.0001
.0g 1e-5 -> 1e-05
.0g 1e-6 -> 1e-06
.0g 12 -> 1e+01
.0g 120 -> 1e+02
.0g 1.2 -> 1
.0g 0.12 -> 0.1
.0g 0.012 -> 0.01
.0g 0.0012 -> 0.001
.0g 0.00012 -> 0.0001
.0g 0.000012 -> 1e-05
.0g 0.0000012 -> 1e-06
-- precision 1 identical to precision 0
.1g 1000 -> 1e+03
.1g 100 -> 1e+02
.1g 10 -> 1e+01
.1g 1 -> 1
.1g 0.1 -> 0.1
.1g 0.01 -> 0.01
.1g 1e-3 -> 0.001
.1g 1e-4 -> 0.0001
.1g 1e-5 -> 1e-05
.1g 1e-6 -> 1e-06
.1g 12 -> 1e+01
.1g 120 -> 1e+02
.1g 1.2 -> 1
.1g 0.12 -> 0.1
.1g 0.012 -> 0.01
.1g 0.0012 -> 0.001
.1g 0.00012 -> 0.0001
.1g 0.000012 -> 1e-05
.1g 0.0000012 -> 1e-06
-- precision 2
.2g 1000 -> 1e+03
.2g 100 -> 1e+02
.2g 10 -> 10
.2g 1 -> 1
.2g 0.1 -> 0.1
.2g 0.01 -> 0.01
.2g 0.001 -> 0.001
.2g 1e-4 -> 0.0001
.2g 1e-5 -> 1e-05
.2g 1e-6 -> 1e-06
.2g 1234 -> 1.2e+03
.2g 123 -> 1.2e+02
.2g 12.3 -> 12
.2g 1.23 -> 1.2
.2g 0.123 -> 0.12
.2g 0.0123 -> 0.012
.2g 0.00123 -> 0.0012
.2g 0.000123 -> 0.00012
.2g 0.0000123 -> 1.2e-05
-- bad cases from http://bugs.python.org/issue9980
.12g 38210.0 -> 38210
.12g 37210.0 -> 37210
.12g 36210.0 -> 36210
-- alternate g formatting: always include decimal point and
-- exactly <precision> significant digits.
#.0g 0 -> 0.
#.1g 0 -> 0.
#.2g 0 -> 0.0
#.3g 0 -> 0.00
#.4g 0 -> 0.000
#.0g 0.2 -> 0.2
#.1g 0.2 -> 0.2
#.2g 0.2 -> 0.20
#.3g 0.2 -> 0.200
#.4g 0.2 -> 0.2000
#.10g 0.2 -> 0.2000000000
#.0g 2 -> 2.
#.1g 2 -> 2.
#.2g 2 -> 2.0
#.3g 2 -> 2.00
#.4g 2 -> 2.000
#.0g 20 -> 2.e+01
#.1g 20 -> 2.e+01
#.2g 20 -> 20.
#.3g 20 -> 20.0
#.4g 20 -> 20.00
#.0g 234.56 -> 2.e+02
#.1g 234.56 -> 2.e+02
#.2g 234.56 -> 2.3e+02
#.3g 234.56 -> 235.
#.4g 234.56 -> 234.6
#.5g 234.56 -> 234.56
#.6g 234.56 -> 234.560
-- repr formatting. Result always includes decimal point and at
-- least one digit after the point, or an exponent.
r 0 -> 0.0
r 1 -> 1.0
r 0.01 -> 0.01
r 0.02 -> 0.02
r 0.03 -> 0.03
r 0.04 -> 0.04
r 0.05 -> 0.05
-- values >= 1e16 get an exponent
r 10 -> 10.0
r 100 -> 100.0
r 1e15 -> 1000000000000000.0
r 9.999e15 -> 9999000000000000.0
r 9999999999999998 -> 9999999999999998.0
r 9999999999999999 -> 1e+16
r 1e16 -> 1e+16
r 1e17 -> 1e+17
-- as do values < 1e-4
r 1e-3 -> 0.001
r 1.001e-4 -> 0.0001001
r 1.0000000000000001e-4 -> 0.0001
r 1.000000000000001e-4 -> 0.0001000000000000001
r 1.00000000001e-4 -> 0.000100000000001
r 1.0000000001e-4 -> 0.00010000000001
r 1e-4 -> 0.0001
r 0.99999999999999999e-4 -> 0.0001
r 0.9999999999999999e-4 -> 9.999999999999999e-05
r 0.999999999999e-4 -> 9.99999999999e-05
r 0.999e-4 -> 9.99e-05
r 1e-5 -> 1e-05