When one transformscopies an output containing machine-precision numbers to a input, many trailing 0s appears.
For example :
Evaluate the following expression :
{{41.`,19.200000000000003`},
{41.`,39.5`},
{33.6`,49.300000000000004`},
{33.2`,59.800000000000004`},
{33.2`,61.800000000000004`}}
{{41., 19.2}, {41., 39.5}, {33.6, 49.3}, {33.2, 59.8}, {33.2, 61.8}}
Then copy-paste this output. The result is a input cell with again all the trailing 0s.
I need to Round the output values so that the input form isstays short (It is not a problem of number formatting/rendering since the numerical values can be changed a little bit in this operation).
Tests already done, without success :
First, a preamble that shows that this is possible
niceValue=49.3
niceValue //InputForm
49.3
49.3
Then, a example of a difficult case :
irritatingValue=49.300000000000004`
irritatingValue //InputForm
49.3
49.300000000000004
Unsuccessfull attempts :
This seems to work :
Round[irritatingValue,1. 10^-6] //InputForm
49.3
But this does not :
Round[irritatingValue,1. 10^-5] //InputForm
49.300000000000004
so the "solution" Round[..., 1. 10^-n]
is inacceptable. Because the problem is certainly due to the binary representation of numbers that we see ultimately in base 10, I have tried also things like : Round[..., 256 $MachineEpsilon]
and Round[..., 2^-10]
, without success.
Chop[...]
doesn't seem neither to bring a solution.