How do plot_implicit work? #27813
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I am trying to create a program that draws implicit functions, so I am trying to learn the code for sympy. However, i can't find where the code used to draw functions, nor can I find where intervals(or intervalsets) are calculated. Python code is so interdependent that I can't find what I'm looking for. I will extremely appreciate anyone's help. |
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Replies: 1 comment 3 replies
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The code for drawing implicit functions is likely in sympy.plotting.plot_implicit, and interval calculations might be in sympy.sets.Interval or related solving functions. Instead of diving straight into the code, I’d recommend checking the SymPy documentation first—it provides much more clarity and helps you find exactly what you need. You can start here: https://docs.sympy.org/. Regarding interdependencies, SymPy docs have a ‘See Also’ section that guides you to related functions, making it easier to navigate interconnected features. |
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I'm sorry to bother you and I really appreciate your answer😊. I'm a high school student and really poor at English, so please forgive my terrible mistake in expressing what I really wanted😭. Actually, I want to know how plot_implicit works, where sympy deals with interval math works such as def IntervalSet_Add(i1,i2):
IntervalList=[]
for j1 in i1.IntervalList:
for j2 in i2.IntervalList:
IntervalList.append(Interval(j1.min+j2.min,j1.max+j2.max))
......
return IntervalSet(IntervalList) I want to know where the code that plot_implicit draws each pixel by recursion or looping is as well. I know that plot_implicit function use interval algorithm to draw the implicit function, and so do my program. When I try to read the thesis written by Jeff Tupper who is the author of this algorithm, I found it so hard to learn that from such a professional thesis with so many mathematical expressions, and to make matters worse, the author's compression of the pdf makes it impossible to translate it by translation tools, while anything important in his uncompressed html form document is blurred and difficult to see clearly. Since sympy can draw the image detailedly, I want to find how. Interval calculating methods in mpmath only supports Interval, while according to the interval algorithm, if I want to prevent breakpoints such as tan(x) at x=pi/2 from being connected, I should calculate it with IntervalSet. Interval in sympy.sets.Interval may be not for interval algorithm, but for getting intersection and union from two intervals. If I have offended you anywhere, I am truly sorry. |
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Sorry @jyswjjgdwtdtj I am not familiar with plot module very much i just use it here and there for light work. Maybe another contributors help you with this. |
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I get it. The code is in ImplicitSeries class in sympy/plotting/series.py. But, to my disappointment, its ability to plot implicit function is not as powerful as I thought, and it seems to do nothing in checking whether the real graph of the function contains pixels it draws. |
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I get it. The code is in ImplicitSeries class in sympy/plotting/series.py. But, to my disappointment, its ability to plot implicit function is not as powerful as I thought, and it seems to do nothing in checking whether the real graph of the function contains pixels it draws.
Anyway, I have to thank you very much.