282 lines
9.9 KiB
Python
282 lines
9.9 KiB
Python
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import numpy as np
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from matplotlib import _api, ticker as mticker
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from matplotlib.transforms import Bbox, Transform
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from .clip_path import clip_line_to_rect
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class ExtremeFinderSimple:
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"""
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A helper class to figure out the range of grid lines that need to be drawn.
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"""
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def __init__(self, nx, ny):
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"""
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Parameters
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----------
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nx, ny : int
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The number of samples in each direction.
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"""
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self.nx = nx
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self.ny = ny
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def __call__(self, transform_xy, x1, y1, x2, y2):
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"""
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Compute an approximation of the bounding box obtained by applying
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*transform_xy* to the box delimited by ``(x1, y1, x2, y2)``.
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The intended use is to have ``(x1, y1, x2, y2)`` in axes coordinates,
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and have *transform_xy* be the transform from axes coordinates to data
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coordinates; this method then returns the range of data coordinates
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that span the actual axes.
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The computation is done by sampling ``nx * ny`` equispaced points in
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the ``(x1, y1, x2, y2)`` box and finding the resulting points with
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extremal coordinates; then adding some padding to take into account the
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finite sampling.
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As each sampling step covers a relative range of *1/nx* or *1/ny*,
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the padding is computed by expanding the span covered by the extremal
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coordinates by these fractions.
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"""
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x, y = np.meshgrid(
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np.linspace(x1, x2, self.nx), np.linspace(y1, y2, self.ny))
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xt, yt = transform_xy(np.ravel(x), np.ravel(y))
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return self._add_pad(xt.min(), xt.max(), yt.min(), yt.max())
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def _add_pad(self, x_min, x_max, y_min, y_max):
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"""Perform the padding mentioned in `__call__`."""
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dx = (x_max - x_min) / self.nx
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dy = (y_max - y_min) / self.ny
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return x_min - dx, x_max + dx, y_min - dy, y_max + dy
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class GridFinder:
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def __init__(self,
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transform,
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extreme_finder=None,
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grid_locator1=None,
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grid_locator2=None,
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tick_formatter1=None,
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tick_formatter2=None):
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"""
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transform : transform from the image coordinate (which will be
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the transData of the axes to the world coordinate.
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or transform = (transform_xy, inv_transform_xy)
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locator1, locator2 : grid locator for 1st and 2nd axis.
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"""
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if extreme_finder is None:
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extreme_finder = ExtremeFinderSimple(20, 20)
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if grid_locator1 is None:
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grid_locator1 = MaxNLocator()
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if grid_locator2 is None:
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grid_locator2 = MaxNLocator()
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if tick_formatter1 is None:
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tick_formatter1 = FormatterPrettyPrint()
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if tick_formatter2 is None:
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tick_formatter2 = FormatterPrettyPrint()
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self.extreme_finder = extreme_finder
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self.grid_locator1 = grid_locator1
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self.grid_locator2 = grid_locator2
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self.tick_formatter1 = tick_formatter1
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self.tick_formatter2 = tick_formatter2
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self.update_transform(transform)
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def get_grid_info(self, x1, y1, x2, y2):
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"""
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lon_values, lat_values : list of grid values. if integer is given,
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rough number of grids in each direction.
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"""
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extremes = self.extreme_finder(self.inv_transform_xy, x1, y1, x2, y2)
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# min & max rage of lat (or lon) for each grid line will be drawn.
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# i.e., gridline of lon=0 will be drawn from lat_min to lat_max.
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lon_min, lon_max, lat_min, lat_max = extremes
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lon_levs, lon_n, lon_factor = self.grid_locator1(lon_min, lon_max)
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lat_levs, lat_n, lat_factor = self.grid_locator2(lat_min, lat_max)
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lon_values = lon_levs[:lon_n] / lon_factor
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lat_values = lat_levs[:lat_n] / lat_factor
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lon_lines, lat_lines = self._get_raw_grid_lines(lon_values,
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lat_values,
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lon_min, lon_max,
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lat_min, lat_max)
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ddx = (x2-x1)*1.e-10
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ddy = (y2-y1)*1.e-10
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bb = Bbox.from_extents(x1-ddx, y1-ddy, x2+ddx, y2+ddy)
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grid_info = {
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"extremes": extremes,
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"lon_lines": lon_lines,
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"lat_lines": lat_lines,
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"lon": self._clip_grid_lines_and_find_ticks(
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lon_lines, lon_values, lon_levs, bb),
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"lat": self._clip_grid_lines_and_find_ticks(
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lat_lines, lat_values, lat_levs, bb),
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}
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tck_labels = grid_info["lon"]["tick_labels"] = {}
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for direction in ["left", "bottom", "right", "top"]:
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levs = grid_info["lon"]["tick_levels"][direction]
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tck_labels[direction] = self.tick_formatter1(
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direction, lon_factor, levs)
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tck_labels = grid_info["lat"]["tick_labels"] = {}
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for direction in ["left", "bottom", "right", "top"]:
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levs = grid_info["lat"]["tick_levels"][direction]
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tck_labels[direction] = self.tick_formatter2(
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direction, lat_factor, levs)
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return grid_info
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def _get_raw_grid_lines(self,
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lon_values, lat_values,
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lon_min, lon_max, lat_min, lat_max):
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lons_i = np.linspace(lon_min, lon_max, 100) # for interpolation
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lats_i = np.linspace(lat_min, lat_max, 100)
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lon_lines = [self.transform_xy(np.full_like(lats_i, lon), lats_i)
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for lon in lon_values]
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lat_lines = [self.transform_xy(lons_i, np.full_like(lons_i, lat))
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for lat in lat_values]
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return lon_lines, lat_lines
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def _clip_grid_lines_and_find_ticks(self, lines, values, levs, bb):
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gi = {
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"values": [],
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"levels": [],
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"tick_levels": dict(left=[], bottom=[], right=[], top=[]),
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"tick_locs": dict(left=[], bottom=[], right=[], top=[]),
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"lines": [],
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}
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tck_levels = gi["tick_levels"]
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tck_locs = gi["tick_locs"]
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for (lx, ly), v, lev in zip(lines, values, levs):
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xy, tcks = clip_line_to_rect(lx, ly, bb)
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if not xy:
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continue
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gi["levels"].append(v)
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gi["lines"].append(xy)
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for tck, direction in zip(tcks,
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["left", "bottom", "right", "top"]):
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for t in tck:
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tck_levels[direction].append(lev)
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tck_locs[direction].append(t)
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return gi
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def update_transform(self, aux_trans):
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if not isinstance(aux_trans, Transform) and len(aux_trans) != 2:
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raise TypeError("'aux_trans' must be either a Transform instance "
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"or a pair of callables")
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self._aux_transform = aux_trans
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def transform_xy(self, x, y):
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aux_trf = self._aux_transform
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if isinstance(aux_trf, Transform):
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return aux_trf.transform(np.column_stack([x, y])).T
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else:
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transform_xy, inv_transform_xy = aux_trf
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return transform_xy(x, y)
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def inv_transform_xy(self, x, y):
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aux_trf = self._aux_transform
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if isinstance(aux_trf, Transform):
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return aux_trf.inverted().transform(np.column_stack([x, y])).T
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else:
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transform_xy, inv_transform_xy = aux_trf
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return inv_transform_xy(x, y)
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def update(self, **kw):
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for k in kw:
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if k in ["extreme_finder",
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"grid_locator1",
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"grid_locator2",
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"tick_formatter1",
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"tick_formatter2"]:
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setattr(self, k, kw[k])
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else:
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raise ValueError("Unknown update property '%s'" % k)
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class MaxNLocator(mticker.MaxNLocator):
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def __init__(self, nbins=10, steps=None,
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trim=True,
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integer=False,
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symmetric=False,
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prune=None):
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# trim argument has no effect. It has been left for API compatibility
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super().__init__(nbins, steps=steps, integer=integer,
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symmetric=symmetric, prune=prune)
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self.create_dummy_axis()
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self._factor = 1
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def __call__(self, v1, v2):
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self.set_bounds(v1 * self._factor, v2 * self._factor)
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locs = super().__call__()
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return np.array(locs), len(locs), self._factor
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@_api.deprecated("3.3")
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def set_factor(self, f):
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self._factor = f
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class FixedLocator:
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def __init__(self, locs):
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self._locs = locs
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self._factor = 1
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def __call__(self, v1, v2):
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v1, v2 = sorted([v1 * self._factor, v2 * self._factor])
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locs = np.array([l for l in self._locs if v1 <= l <= v2])
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return locs, len(locs), self._factor
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@_api.deprecated("3.3")
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def set_factor(self, f):
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self._factor = f
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# Tick Formatter
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class FormatterPrettyPrint:
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def __init__(self, useMathText=True):
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self._fmt = mticker.ScalarFormatter(
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useMathText=useMathText, useOffset=False)
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self._fmt.create_dummy_axis()
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def __call__(self, direction, factor, values):
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return self._fmt.format_ticks(values)
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class DictFormatter:
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def __init__(self, format_dict, formatter=None):
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"""
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format_dict : dictionary for format strings to be used.
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formatter : fall-back formatter
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"""
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super().__init__()
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self._format_dict = format_dict
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self._fallback_formatter = formatter
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def __call__(self, direction, factor, values):
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"""
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factor is ignored if value is found in the dictionary
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"""
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if self._fallback_formatter:
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fallback_strings = self._fallback_formatter(
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direction, factor, values)
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else:
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fallback_strings = [""] * len(values)
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return [self._format_dict.get(k, v)
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for k, v in zip(values, fallback_strings)]
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