#3980 closed defect (fixed)
[with patch, positive review] Find_root bug
Reported by: | kcrisman | Owned by: | jwmerrill |
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Priority: | minor | Milestone: | sage-3.1.3 |
Component: | calculus | Keywords: | |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | Work issues: | ||
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
The reciprocal of tangent is not a constant function, but Sage says otherwise.
sage: z=tan sage: z tan sage: 1/z 1/tan sage: find_root(1/z,1,2) --------------------------------------------------------------------------- RuntimeError Traceback (most recent call last) <snip> /Applications/sage/local/lib/python2.5/site-packages/sage/numerical/optimize.py in find_root(f, a, b, xtol, rtol, maxiter, full_output) 52 """ 53 try: ---> 54 return f.find_root(a=a,b=b,xtol=xtol,rtol=rtol,maxiter=maxiter,full_output=full_output) 55 except AttributeError: 56 pass /Applications/sage/local/lib/python2.5/site-packages/sage/calculus/calculus.py in find_root(self, a, b, var, xtol, rtol, maxiter, full_output) 3088 return a 3089 else: -> 3090 raise RuntimeError, "no zero in the interval, since constant expression is not 0." 3091 var = repr(w[0]) 3092 RuntimeError: no zero in the interval, since constant expression is not 0.
Attachments (1)
Change History (10)
comment:1 Changed 8 years ago by
- Component changed from numerical to calculus
- Owner changed from jkantor to burcin
comment:2 Changed 8 years ago by
comment:3 Changed 8 years ago by
The problem is that find_root is asking the wrong question of its first argument. It asks "what are your variables?" Instead, it should ask "do you return a number when called with one argument?" I will try to code this up when I get a chance.
comment:4 Changed 8 years ago by
- Owner changed from burcin to jwmerrill
- Summary changed from Find_root bug to [with patch, needs review] Find_root bug
Here's a patch that avoids asking the function what it's variables are.
comment:5 Changed 8 years ago by
- Summary changed from [with patch, needs review] Find_root bug to [with patch, needs work] Find_root bug
Somehow this is now too permissive, since the following should return an error:
sage: var('t') sage: find_root(1/t-x,0,2) 1.0000000000005
Changed 8 years ago by
comment:6 Changed 8 years ago by
- Summary changed from [with patch, needs work] Find_root bug to [with patch, needs review] Find_root bug
Good catch mhampton. I modified the patch to throw a NotImplementedError? if self.number_of_variables() is greater than 1. This is closer to the old behavior. I added a new test to explicitly check the case you gave above.
comment:7 Changed 8 years ago by
- Summary changed from [with patch, needs review] Find_root bug to [with patch, positive review] Find_root bug
OK, this passes tests and it seems OK. One thing I noticed, which I think can be considered beyond the scope of this patch, is that
var('t') plot(sin(t*x),-1,1)
quickly fails with "ValueError?: free variable: x", which is good, but:
plot(lambda t: sin(t*x),-1,1)
tries to plot 400 values and finally gives
verbose 0 (3585: plot.py, _plot) WARNING: When plotting, failed to evaluate function at 400 points. verbose 0 (3585: plot.py, _plot) Last error message: 'float() argument must be a string or a number'
and an empty plot. It would be nice to speed up that failure if you know an easy way.
comment:8 Changed 8 years ago by
- Resolution set to fixed
- Status changed from new to closed
Merged in Sage 3.1.3.alpha3.
comment:9 Changed 8 years ago by
- Milestone changed from sage-3.2 to sage-3.1.3
I have a less obscure example of this.
And I have traced down the bug to this:
Since these expressions contain no variables they are deemed constant and since they are not equal to 0 they have no roots. You can fix your example by trying:
Also note that this works:
Although, technically no variables are there to be replaced.
I don't know if this is really a bug or not, or how to fix it.