Symbolic simplification for pretty output
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This is a crosspost from http://stackoverflow.com/questions/21512047/matlab-mupad-symbolic-simplification-for-pretty-output
I need to automatically simplify some symbolic expressions but the `simplify` function of matlab can't do everything i need.
Example:
simplify(expand((ax + bx)^2 + (ay + by)^2))
Which results in the output
ax^2 + 2*ax*bx + ay^2 + 2*ay*by + bx^2 + by^2
So i've tried to create my own rules to make the output prettier
function [ result ] = simplify_pretty( term )
read(symengine, 'simplify_pretty_rules.mu');
result = feval(symengine, 'Simplify', term, 'SelectRules = simplify_pretty_rules')
end
with "simplify_pretty_rules.mu"
simplify_pretty_rules := proc()
begin
[
Rule(#X^2 - 2 * #X * #Y + #Y^2, (#X - #Y)^2),
Rule(#X^2 + 2 * #X * #Y + #Y^2, (#X + #Y)^2)
]
end_proc:
This works for input like...
simplify_pretty(expand((ax + bx)^2 + (ay + by)^2))
...but when changed to...
simplify_pretty(expand(-(ax + bx)^2 - (ay + by)^2))
...it doesn't
So the questions is: Is it possible to create rules which work in (nearly) all situations? What am I doing wrong?
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