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added shortest format mode to RealFloat that prints the shortest possible string #635

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@BebeSparkelSparkel BebeSparkelSparkel commented Dec 28, 2023

dependent on pull #637

Using the logic from the pattern

-- E >= 0 && (P + 2 >= E || (P == 1 && E <= 2))
-- E <  0 && (E >= (-3) || (P == 1 && E >= (-2)))
-- 
-- : P 1, E 2
-- 1
-- 1e0
-- 10
-- 1e1
-- 100
-- 1e2
-- 1000
-- 1e3
-- 
-- : P 2, E 4
-- 12
-- 1.2e2
-- 120
-- 1.2e2
-- 1200
-- 1.2e3
-- 12000
-- 1.2e4
-- 120000
-- 1.2e5
-- 
-- : P 3, E 5
-- 123
-- 1.23e2
-- 1230
-- 1.23e3
-- 12300
-- 1.23e4
-- 123000
-- 1.23e5
-- 1230000
-- 1.23e6
-- 
-- : P 4, E 6
-- 1234
-- 1.234e3
-- 12340
-- 1.234e4
-- 123400
-- 1.234e5
-- 1234000
-- 1.234e6
-- 12340000
-- 1.234e7
-- 
-- : P 5, E 7
-- 12345
-- 1.2345e4
-- 123450
-- 1.2345e5
-- 1234500
-- 1.2345e6
-- 12345000
-- 1.2345e7
-- 123450000
-- 1.2345e8
-- 
-- : P 1, E -2
-- 0.1
-- 1e-1
-- 0.01
-- 1e-2
-- 0.001
-- 1e-3
-- 
-- : P 2, E -3
-- 0.12
-- 1.2e-1
-- 0.012
-- 1.2e-2
-- 0.0012
-- 1.2e-3
-- 0.00012
-- 1.2e-4
-- 
-- : P 3, E -3
-- 0.123
-- 1.23e-1
-- 0.0123
-- 1.23e-2
-- 0.00123
-- 1.23e-3
-- 0.000123
-- 1.23e-4
-- 
-- : P 4, E -3
-- 0.1234
-- 1.234e-1
-- 0.01234
-- 1.234e-2
-- 0.001234
-- 1.234e-3
-- 0.0001234
-- 1.234e-4
-- 
-- : P 5, E -3
-- 0.12345
-- 1.2345e-1
-- 0.012345
-- 1.2345e-2
-- 0.0012345
-- 1.2345e-3
-- 0.00012345
-- 1.2345e-4
-- 
-- : P 2, E
-- 1.2
-- 1.2e0
-- ...
-- 
-- : P 3, E
-- 1.23
-- 1.23e0
-- 12.3
-- 1.23e1

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