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Revision 2666

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Author: dpvc
Date: Sun Aug 22 00:56:32 2004 UTC (15 years, 2 months ago)
Log Message:
Formulas can now be compared even if their variables are complex
numbers, or even points or vectors!  This makes it possible to ask
students for complex functions like z^2+i and so on.

You can specify limits for variables either via
Context()->variables->set(x=>{limits=>[0,1]})  (for reals) or
Context()->variables->set(z=>{limits=>[[-2,2],[0,1]]}) (for complexes).
Similarly for points and vectors (where the number of sub arrays
depends on the dimension).  You can also give the limits for a
specific formula by assigning to its ->{limits} field:

    $f = Formula("sqrt(x-10)");
    $f->{limits} = [10,12];

There are now named variable types for 'Point2D', 'Point3D',
'Vector2D' and 'Vector3D', in addition to 'Real' and 'Complex'.
You can also specify a variable type by giving an explicit instance of
a value of the given type.  E.g.

    Context()->variables->add(x=>'Real',y=>0);     # two real variables
    Context()->variables->add(z=>'Complex',w=>i);  # two complexes
    Context()->variables->add(r=>Vector(0,0,0));   # a vector in R^3
    Context()->variables->add(X=>'Vector3D');      # a vector in R^3

There still needs to be more error checking in processing
user-supplied limits, but I'm not sure how much overhead is worth it.

Changed paths:

Path Details
Directorytrunk/pg/lib/Parser/Context/Variables.pm modified , text changed
Directorytrunk/pg/lib/Value/Formula.pm modified , text changed
Directorytrunk/pg/macros/Parser.pl modified , text changed

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