Follow-up to #343 - Embedding Static Plots
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调研方向
首先阅读 jupyterlab-manager 和 widgetsnbextension 如何处理 notebook 保存信号，然后跟踪 ipympl 为更新 mimebundle 而从前端到后端的路径。检查 PNG 情况下的 widget model 处理。完成的标准是：已保存的 widget state 能够渲染，而不是显示空白图形，并且渲染后的更新在保存 notebook 和执行 nbconvert 后仍然保留。
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描述
#343 was a huge step forward for saving the state of plots in notebooks. But it doesn't truly reproduce the state of the notebook that the author was looking at for these two cases:
- If widget state is saved then only a blank figure renders (https://github.com/matplotlib/ipympl/pull/343#issuecomment-920167467)
- Any updates to the figure after the initial render are not saved in the notebook (https://github.com/matplotlib/ipympl/pull/343#issuecomment-921008926)
I think part 2 is very important to be able to tell a story using a notebook. e.g. If I make some plots with a slider, get them just so and then run nbconvert I don't think I would faithfully reproduce the state of the notebook as I was looking at it.
Part 1 should be solvable if we include the PNG as part of the widget model
Part 2 I think a reasonable tradeoff would be to only update the static plot whenever the notebook is saved. This would require the frontend of ipywidgets (jupyterlab-manager, and widgetsnbextension) to listen to notebook save signals and pass them to the ipympl frontend, which would in turn let the backend know to update the mimebundle.
@martinRenou how hard do you think the second one (saving) would be to fix? To me that feels like a very important thing to hit.
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