"""
Slice: several meshes scrubbed together
==========================================

Meshes that share a grid can be sliced in lockstep. With **Link all matching
axes** on, one slider at the bottom of the figure drives every compatible axes
at once, so the same row is compared across all of them -- the natural way to
ask "how does this cut change from one condition to the next?".

Four snapshots of a diffusing hot spot at increasing times sit on one grid. Drag
the shared slider: the four strips show the *same* row, and the peak visibly
flattens and widens from the first panel to the last. Every strip uses the
colour scale's range (``"range": "colorbar"``), so heights are comparable
between panels and do not rescale as the slider moves -- without it each strip
would zoom to its own row and the flattening would be hidden.

Axes with different grids are not linked together; each keeps its own slider.

.. code-block:: python

   options={"slice": {"enabled": True, "link_all": True, "range": "colorbar"}}
"""
import numpy as np
import plotpress

x = np.linspace(-5, 5, 81)
y = np.linspace(-5, 5, 81)
X, Y = np.meshgrid((x[:-1] + x[1:]) / 2, (y[:-1] + y[1:]) / 2)
times = [0.2, 0.6, 1.5, 3.0]

fig, axs = plotpress.subplots(2, 2, figsize=(8, 7))
for ax, t in zip(axs.ravel(), times):
    heat = np.exp(-(X ** 2 + Y ** 2) / (4 * t)) / t
    mesh = ax.pcolormesh(x, y, heat, cmap="inferno", vmin=0, vmax=5)
    ax.set_title(f"t = {t:g}")
fig.colorbar(mesh, ax=list(axs.ravel()), label="temperature")

_gallery_interactive_options = {"slice": {
    "enabled": True, "link_all": True, "range": "colorbar", "index": 40}}