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0001 This backend allows Cantor to use the Maxima Computer Algebra System.
0003 It works by starting a Tcp Server on an open port (it just tries some, until one is
0004 open), and then letting maxima connect to it(see setup-client command of maxima).
0005 Once maxima has connected, the backend sends the commands through the socket, and
0006 parses the delivered output.
0007 The parsing itself is a bit tricky, as Maxima output can have different formattings.
0008 1) it contains an output prompt.
0009 2) no prompt: this means that either maxima has asked a question, or there has happened an
0010    error. To determine which of the two it is, Cantor uses a timer, if for more than 100ms
0011    no new output arrives it assumes that it's a question. This works fairly well, as this
0012    case is rather seldom, and when an error occurs, maxima will soon deliver a new input prompt.
0013 3) it contains a new input prompt: This means the computation is finished. If running the timer
0014    from 2) is stopped, and the read output is prepared to be put into a Result.
0016 To allow embedding of plots, the backend watches if the commands contain a plot command
0017 (using some regexp magic), sets a flag, and sends a slightly altered plot command to
0018 maxima that contains a temporary target file.
0020 SyntaxHighlighting and TabCompletion are implemented in a very simplistic way,
0021 by just using a static list of known functions/keywords.
0023 To allow SyntaxHelp and Typesetting, it launches a separate maxima process, that
0024 then evaluates "? command" or "tex(expr)", and then the output is parsed.