Updates:
Cc: Ronan.Lamy Vinzent.Steinberg
Comment #19 on issue 2133 by asmeurer: Merge new polynomials manipulation
module
http://code.google.com/p/sympy/issues/detail?id=2133
I bisected the sqrt(2) thing down to this commit, which seems unrelated:
commit caecab6c216b0b29222504dfcaf86b732144eacd
Author: Mateusz Paprocki <matt...@gmail.com>
Date: Tue Dec 28 15:26:17 2010 +0100
factor() now uses together() internally (#2054)
The difference is in solve(). In polys12:
In [2]: dsolve(diff(f(x), x, x) + 1/f(x)*(diff(f(x), x))**2 +
1/x*diff(f(x), x), f(x), simplify=False)
Out[2]:
2
f (x)
C₂ + C₁⋅log(x) + ───── = 0
2
In [3]: solve(dsolve(diff(f(x), x, x) + 1/f(x)*(diff(f(x), x))**2 +
1/x*diff(f(x), x), f(x), simplify=False), f(x))
Out[3]:
⎡ ⎽⎽⎽ ⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽ ⎽⎽⎽ ⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎤
⎣-╲╱ 2 ⋅╲╱ -C₂ - C₁⋅log(x) , ╲╱ 2 ⋅╲╱ -C₂ - C₁⋅log(x) ⎦
in master:
In [2]: dsolve(diff(f(x), x, x) + 1/f(x)*(diff(f(x), x))**2 +
1/x*diff(f(x), x), f(x), simplify=False)
Out[2]:
2
f (x)
C₂ + C₁⋅log(x) + ───── = 0
2
In [3]: solve(dsolve(diff(f(x), x, x) + 1/f(x)*(diff(f(x), x))**2 +
1/x*diff(f(x), x), f(x), simplify=False), f(x))
Out[3]:
⎡ ⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽ ⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎤
⎣-╲╱ -2⋅C₂ - 2⋅C₁⋅log(x) , ╲╱ -2⋅C₂ - 2⋅C₁⋅log(x) ⎦
Anyway, this isn't very important. We just need to improve
constantsimp(). But it's low priority and I don't consider it blocking on
this merge.
Does anyone have any problems with polys12? I am going to do a good test
run of all the Pythons/ground types to be sure, but assuming those all
pass, I think this is ready to go in. The only things that need to be
fixed are the sum and keep_sign issues. I will fix the sum issue in my
summation branch after this gets merged in, and keep_sign is issue 2151.
So if someone has an issue, raise it soon. I am going to merge this as
soon as I finish running the tests (assuming I find no further issues
myself).
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