#4529: Implement plots with logarithmic scale
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Reporter: ronanpaixao | Owner: ronanpaixao
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.1
Component: graphics | Resolution:
Keywords: plot log scale | Work issues: convenience functions
Report Upstream: N/A | Reviewers: Karl-Dieter Crisman
Authors: Punarbasu Purkayastha | Merged in:
Dependencies: #12974 | Stopgaps:
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Comment (by kcrisman):
So I've come up with a solution. I'll probably post stuff in a little
while. Here's a typical example.
{{{
sage: P = plot(x^2,(x,1,8),scale='loglog'); P
ValueError: Either expand the range of the independent variable to allow
two different integer powers of your `base`, or change your `base` to a
smaller number.
sage: P.show(xmax=10)
}}}
Some more food for thought.
* Your LaTeX hack doesn't work in all cases, apparently.
{{{
sage: P = plot(x^2,(x,1,8),scale='loglog', base=1.5); P
}}}
This is because matplotlib has
{{{
else:
if usetex:
s = r'$%s%d^{%d}$'% (sign_string, b, nearest_long(fx))
else:
s = r'$\mathdefault{%s%d^{%d}}$'% (sign_string, b,
nearest_long(fx))
}}}
which uses decimal formatting, but of course that only makes sense for
integer bases. I feel like this is a bug in mpl; what do you think?
Anyway, I am hesitant to patch our matplotlib just for this use case,
though it should be a new ticket, I think. The same thing happens with
`base=3/2`, unsurprisingly.
* `base=e` should be possible, but hacking around the fact that matplotlib
won't accept this maybe makes it not worth it, and in any case I don't
know that "real-life" people often use that for semilog plots. Just
pointing it out.
* Here is a fun horrible example that you probably were thinking of with
adding plots - maybe we should find a check for this.
{{{
sage: G =
plot_vector_field((e^x,e^(x+y)),(x,0.1,10),(y,0.1,10),scale=('loglog', 2))
sage: H = plot(x^2,(x,0,10),scale='linear')
sage: G+H
}}}
At least originally you thought this should raise an error.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4529#comment:48>
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