""" An experimental support for curvilinear grid. """ from __future__ import (absolute_import, division, print_function, unicode_literals) import six from six.moves import zip # TODO : # see if tick_iterator method can be simplified by reusing the parent method. import numpy as np from matplotlib.transforms import Affine2D, IdentityTransform from . import grid_helper_curvelinear from .axislines import AxisArtistHelper, GridHelperBase from .axis_artist import AxisArtist from .grid_finder import GridFinder class FloatingAxisArtistHelper(grid_helper_curvelinear.FloatingAxisArtistHelper): pass class FixedAxisArtistHelper(grid_helper_curvelinear.FloatingAxisArtistHelper): def __init__(self, grid_helper, side, nth_coord_ticks=None): """ nth_coord = along which coordinate value varies. nth_coord = 0 -> x axis, nth_coord = 1 -> y axis """ value, nth_coord = grid_helper.get_data_boundary(side) # return v= 0 , nth=1, extremes of the other coordinate. super(FixedAxisArtistHelper, self).__init__(grid_helper, nth_coord, value, axis_direction=side, ) #self.grid_helper = grid_helper if nth_coord_ticks is None: nth_coord_ticks = nth_coord self.nth_coord_ticks = nth_coord_ticks self.value = value self.grid_helper = grid_helper self._side = side def update_lim(self, axes): self.grid_helper.update_lim(axes) self.grid_info = self.grid_helper.grid_info def get_axislabel_pos_angle(self, axes): extremes = self.grid_info["extremes"] if self.nth_coord == 0: xx0 = self.value yy0 = (extremes[2]+extremes[3])/2. dxx, dyy = 0., abs(extremes[2]-extremes[3])/1000. elif self.nth_coord == 1: xx0 = (extremes[0]+extremes[1])/2. yy0 = self.value dxx, dyy = abs(extremes[0]-extremes[1])/1000., 0. grid_finder = self.grid_helper.grid_finder xx1, yy1 = grid_finder.transform_xy([xx0], [yy0]) trans_passingthrough_point = axes.transData + axes.transAxes.inverted() p = trans_passingthrough_point.transform_point([xx1[0], yy1[0]]) if (0. <= p[0] <= 1.) and (0. <= p[1] <= 1.): xx1c, yy1c = axes.transData.transform_point([xx1[0], yy1[0]]) xx2, yy2 = grid_finder.transform_xy([xx0+dxx], [yy0+dyy]) xx2c, yy2c = axes.transData.transform_point([xx2[0], yy2[0]]) return (xx1c, yy1c), np.arctan2(yy2c-yy1c, xx2c-xx1c)/np.pi*180. else: return None, None def get_tick_transform(self, axes): return IdentityTransform() #axes.transData def get_tick_iterators(self, axes): """tick_loc, tick_angle, tick_label, (optionally) tick_label""" grid_finder = self.grid_helper.grid_finder lat_levs, lat_n, lat_factor = self.grid_info["lat_info"] lon_levs, lon_n, lon_factor = self.grid_info["lon_info"] lon_levs, lat_levs = np.asarray(lon_levs), np.asarray(lat_levs) if lat_factor is not None: yy0 = lat_levs / lat_factor dy = 0.001 / lat_factor else: yy0 = lat_levs dy = 0.001 if lon_factor is not None: xx0 = lon_levs / lon_factor dx = 0.001 / lon_factor else: xx0 = lon_levs dx = 0.001 _extremes = self.grid_helper._extremes xmin, xmax = sorted(_extremes[:2]) ymin, ymax = sorted(_extremes[2:]) if self.nth_coord == 0: mask = (ymin <= yy0) & (yy0 <= ymax) yy0 = yy0[mask] elif self.nth_coord == 1: mask = (xmin <= xx0) & (xx0 <= xmax) xx0 = xx0[mask] def transform_xy(x, y): x1, y1 = grid_finder.transform_xy(x, y) x2y2 = axes.transData.transform(np.array([x1, y1]).transpose()) x2, y2 = x2y2.transpose() return x2, y2 # find angles if self.nth_coord == 0: xx0 = np.empty_like(yy0) xx0.fill(self.value) #yy0_ = yy0.copy() xx1, yy1 = transform_xy(xx0, yy0) xx00 = xx0.astype(float, copy=True) xx00[xx0+dx>xmax] -= dx xx1a, yy1a = transform_xy(xx00, yy0) xx1b, yy1b = transform_xy(xx00+dx, yy0) yy00 = yy0.astype(float, copy=True) yy00[yy0+dy>ymax] -= dy xx2a, yy2a = transform_xy(xx0, yy00) xx2b, yy2b = transform_xy(xx0, yy00+dy) labels = self.grid_info["lat_labels"] labels = [l for l, m in zip(labels, mask) if m] elif self.nth_coord == 1: yy0 = np.empty_like(xx0) yy0.fill(self.value) #xx0_ = xx0.copy() xx1, yy1 = transform_xy(xx0, yy0) yy00 = yy0.astype(float, copy=True) yy00[yy0+dy>ymax] -= dy xx1a, yy1a = transform_xy(xx0, yy00) xx1b, yy1b = transform_xy(xx0, yy00+dy) xx00 = xx0.astype(float, copy=True) xx00[xx0+dx>xmax] -= dx xx2a, yy2a = transform_xy(xx00, yy0) xx2b, yy2b = transform_xy(xx00+dx, yy0) labels = self.grid_info["lon_labels"] labels = [l for l, m in zip(labels, mask) if m] def f1(): dd = np.arctan2(yy1b-yy1a, xx1b-xx1a) # angle normal dd2 = np.arctan2(yy2b-yy2a, xx2b-xx2a) # angle tangent mm = ((yy1b-yy1a)==0.) & ((xx1b-xx1a)==0.) # mask where dd1 is not defined dd[mm] = dd2[mm] + np.pi / 2 #dd += np.pi #dd = np.arctan2(xx2-xx1, angle_tangent-yy1) trans_tick = self.get_tick_transform(axes) tr2ax = trans_tick + axes.transAxes.inverted() for x, y, d, d2, lab in zip(xx1, yy1, dd, dd2, labels): c2 = tr2ax.transform_point((x, y)) delta=0.00001 if (0. -delta<= c2[0] <= 1.+delta) and \ (0. -delta<= c2[1] <= 1.+delta): d1 = d/3.14159*180. d2 = d2/3.14159*180. #_mod = (d2-d1+180)%360 #if _mod < 180: # d1 += 180 ##_div, _mod = divmod(d2-d1, 360) yield [x, y], d1, d2, lab #, d2/3.14159*180.+da) return f1(), iter([]) def get_line_transform(self, axes): return axes.transData def get_line(self, axes): self.update_lim(axes) from matplotlib.path import Path k, v = dict(left=("lon_lines0", 0), right=("lon_lines0", 1), bottom=("lat_lines0", 0), top=("lat_lines0", 1))[self._side] xx, yy = self.grid_info[k][v] return Path(np.column_stack([xx, yy])) from .grid_finder import ExtremeFinderSimple class ExtremeFinderFixed(ExtremeFinderSimple): def __init__(self, extremes): self._extremes = extremes def __call__(self, transform_xy, x1, y1, x2, y2): """ get extreme values. x1, y1, x2, y2 in image coordinates (0-based) nx, ny : number of division in each axis """ #lon_min, lon_max, lat_min, lat_max = self._extremes return self._extremes class GridHelperCurveLinear(grid_helper_curvelinear.GridHelperCurveLinear): def __init__(self, aux_trans, extremes, grid_locator1=None, grid_locator2=None, tick_formatter1=None, tick_formatter2=None): """ aux_trans : a transform from the source (curved) coordinate to target (rectilinear) coordinate. An instance of MPL's Transform (inverse transform should be defined) or a tuple of two callable objects which defines the transform and its inverse. The callables need take two arguments of array of source coordinates and should return two target coordinates: e.g., *x2, y2 = trans(x1, y1)* """ self._old_values = None self._extremes = extremes extreme_finder = ExtremeFinderFixed(extremes) super(GridHelperCurveLinear, self).__init__(aux_trans, extreme_finder, grid_locator1=grid_locator1, grid_locator2=grid_locator2, tick_formatter1=tick_formatter1, tick_formatter2=tick_formatter2) # def update_grid_finder(self, aux_trans=None, **kw): # if aux_trans is not None: # self.grid_finder.update_transform(aux_trans) # self.grid_finder.update(**kw) # self.invalidate() # def _update(self, x1, x2, y1, y2): # "bbox in 0-based image coordinates" # # update wcsgrid # if self.valid() and self._old_values == (x1, x2, y1, y2): # return # self._update_grid(x1, y1, x2, y2) # self._old_values = (x1, x2, y1, y2) # self._force_update = False def get_data_boundary(self, side): """ return v= 0 , nth=1 """ lon1, lon2, lat1, lat2 = self._extremes return dict(left=(lon1, 0), right=(lon2, 0), bottom=(lat1, 1), top=(lat2, 1))[side] def new_fixed_axis(self, loc, nth_coord=None, axis_direction=None, offset=None, axes=None): if axes is None: axes = self.axes if axis_direction is None: axis_direction = loc _helper = FixedAxisArtistHelper(self, loc, nth_coord_ticks=nth_coord) axisline = AxisArtist(axes, _helper, axis_direction=axis_direction) axisline.line.set_clip_on(True) axisline.line.set_clip_box(axisline.axes.bbox) return axisline # new_floating_axis will inherit the grid_helper's extremes. # def new_floating_axis(self, nth_coord, # value, # axes=None, # axis_direction="bottom" # ): # axis = super(GridHelperCurveLinear, # self).new_floating_axis(nth_coord, # value, axes=axes, # axis_direction=axis_direction) # # set extreme values of the axis helper # if nth_coord == 1: # axis.get_helper().set_extremes(*self._extremes[:2]) # elif nth_coord == 0: # axis.get_helper().set_extremes(*self._extremes[2:]) # return axis def _update_grid(self, x1, y1, x2, y2): #self.grid_info = self.grid_finder.get_grid_info(x1, y1, x2, y2) if self.grid_info is None: self.grid_info = dict() grid_info = self.grid_info grid_finder = self.grid_finder extremes = grid_finder.extreme_finder(grid_finder.inv_transform_xy, x1, y1, x2, y2) lon_min, lon_max = sorted(extremes[:2]) lat_min, lat_max = sorted(extremes[2:]) lon_levs, lon_n, lon_factor = \ grid_finder.grid_locator1(lon_min, lon_max) lat_levs, lat_n, lat_factor = \ grid_finder.grid_locator2(lat_min, lat_max) grid_info["extremes"] = lon_min, lon_max, lat_min, lat_max #extremes grid_info["lon_info"] = lon_levs, lon_n, lon_factor grid_info["lat_info"] = lat_levs, lat_n, lat_factor grid_info["lon_labels"] = grid_finder.tick_formatter1("bottom", lon_factor, lon_levs) grid_info["lat_labels"] = grid_finder.tick_formatter2("bottom", lat_factor, lat_levs) if lon_factor is None: lon_values = np.asarray(lon_levs[:lon_n]) else: lon_values = np.asarray(lon_levs[:lon_n]/lon_factor) if lat_factor is None: lat_values = np.asarray(lat_levs[:lat_n]) else: lat_values = np.asarray(lat_levs[:lat_n]/lat_factor) lon_values0 = lon_values[(lon_min