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answers:

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any chart / graph / plotting c c++ library which is similar as bloomberg chart, with mouse interaction on plotted line, and multilayer plot? gnuplot is very powerful but it seems to me it can feed in data but no callback to mouse action and no manipulation on plotted line / chart, e.g. over mouse over particular line and I would dump the detail with a tip box overlay related with particular point.

free library would be nice, $ paid is also fine, more concern is it can be run standalone without the need to be backed by chart server.

A: 

Gnu plot or Octave.