From ad44e5813158063be72b5f5b2cc5e04fb34a3ade Mon Sep 17 00:00:00 2001 From: Elliott Sales de Andrade Date: Sat, 3 Nov 2018 00:57:03 -0400 Subject: [PATCH 1/5] Normalize ellipse-like boundaries. * Calculate the boundary in the correct orientation from the beginning. * Use NumPy to calculate limits from boundary array instead of routing through Shapely. * Use _ellipse_boundary for Stereographic even for circular projections. It's twice as fast and higher resolution by default, too. These are rather small (10-50 microseconds saving each), but they all add up to the affected projections initializing in about 60-70% of the original time. --- lib/cartopy/crs.py | 39 ++++++++++-------- .../mpl/test_gridliner/gridliner1.png | Bin 287618 -> 287938 bytes lib/cartopy/tests/mpl/test_mpl_integration.py | 3 +- 3 files changed, 23 insertions(+), 19 deletions(-) diff --git a/lib/cartopy/crs.py b/lib/cartopy/crs.py index c252f61df..2af5b5656 100644 --- a/lib/cartopy/crs.py +++ b/lib/cartopy/crs.py @@ -671,10 +671,10 @@ def _ellipse_boundary(semimajor=2, semiminor=1, easting=0, northing=0, n=201): """ - t = np.linspace(0, 2 * np.pi, n) + t = np.linspace(0, -2 * np.pi, n) # Clockwise boundary. coords = np.vstack([semimajor * np.cos(t), semiminor * np.sin(t)]) coords += ([easting], [northing]) - return coords[:, ::-1] + return coords class PlateCarree(_CylindricalProjection): @@ -1249,8 +1249,10 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0, coords = _ellipse_boundary(a * 1.9999, max_y - false_northing, false_easting, false_northing, 61) self._boundary = sgeom.polygon.LinearRing(coords.T) - self._x_limits = self._boundary.bounds[::2] - self._y_limits = self._boundary.bounds[1::2] + mins = np.min(coords, axis=1) + maxs = np.max(coords, axis=1) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] self._threshold = np.diff(self._x_limits)[0] * 1e-3 @property @@ -1422,13 +1424,9 @@ def __init__(self, central_latitude=0.0, central_longitude=0.0, a * x_axis_offset + false_easting) self._y_limits = (-b * y_axis_offset + false_northing, b * y_axis_offset + false_northing) - if self._x_limits[1] == self._y_limits[1]: - point = sgeom.Point(false_easting, false_northing) - self._boundary = point.buffer(self._x_limits[1]).exterior - else: - coords = _ellipse_boundary(self._x_limits[1], self._y_limits[1], - false_easting, false_northing, 91) - self._boundary = sgeom.LinearRing(coords.T) + coords = _ellipse_boundary(self._x_limits[1], self._y_limits[1], + false_easting, false_northing, 91) + self._boundary = sgeom.LinearRing(coords.T) self._threshold = np.diff(self._x_limits)[0] * 1e-3 @property @@ -1498,8 +1496,10 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0, # a tiny fraction at the cost of the extreme edges. coords = _ellipse_boundary(a * 0.99999, b * 0.99999, n=61) self._boundary = sgeom.polygon.LinearRing(coords.T) - self._xlim = self._boundary.bounds[::2] - self._ylim = self._boundary.bounds[1::2] + mins = np.min(coords, axis=1) + maxs = np.max(coords, axis=1) + self._xlim = mins[0], maxs[0] + self._ylim = mins[1], maxs[1] self._threshold = np.diff(self._xlim)[0] * 0.02 @property @@ -1739,8 +1739,10 @@ def __init__(self, projection, satellite_height=35785831, coords = _ellipse_boundary(max_x, max_y, false_easting, false_northing, 61) self._boundary = sgeom.LinearRing(coords.T) - self._xlim = self._boundary.bounds[::2] - self._ylim = self._boundary.bounds[1::2] + mins = np.min(coords, axis=1) + maxs = np.max(coords, axis=1) + self._xlim = mins[0], maxs[0] + self._ylim = mins[1], maxs[1] self._threshold = np.diff(self._xlim)[0] * 0.02 @property @@ -1936,9 +1938,10 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0, coords = _ellipse_boundary(a * np.pi, b * np.pi, false_easting, false_northing, 61) self._boundary = sgeom.LinearRing(coords.T) - bounds = self._boundary.bounds - self._x_limits = bounds[0], bounds[2] - self._y_limits = bounds[1], bounds[3] + mins = np.min(coords, axis=1) + maxs = np.max(coords, axis=1) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] @property def boundary(self): diff --git a/lib/cartopy/tests/mpl/baseline_images/mpl/test_gridliner/gridliner1.png b/lib/cartopy/tests/mpl/baseline_images/mpl/test_gridliner/gridliner1.png index 6fa3c8323ad78b1b2d652d848ee1d0e72a4b86fc..f6fcb5961738b5b9db28c920a81f5c45a9100ac0 100644 GIT binary patch delta 148968 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z(w{sjO7W?GVR_c?G&?|R9xTBFAB1?WU<`aMhlk&`p*Zr=AtcUdIb|*`dr6&Q{`P;v z9}xAmFC7YV1L$kQ&zvca|B>N1kb?)qWnHRTNSP!eLM%S(>8y&p#OMr)fObr~Mz3P) zG_zi^&N%5J9ZBe}$;=~*wL0qqSlY3V@CYn;VAFu#_+!Vp)Zh|&Ig(G@6ah8b^6jfi zUb=gGdp}t`5De;e83Ikvm8(VfLMR(j`t^roSGdumRhZo<;I^X zDyrKo%tl)mFGHO=$INXd8Hw@-cpK(#$nJkDn$Y@zvoR}UhtRKt!@|qA7NbumXz~iOmovcxwOEhbToV2+nMPx+tC-GzHYVz;Phl25xQ_+!*z-#SZ80JDZs{`h2yA>J|R?*FU7yyAa{p{J;Ou zJ)zV`?fw7$gPBIR|MSoNf^+`;Zx?=*Q}VO;83x<_@4vF(zds?Z-v9sK`G5bFpG{*I X?d?#srAkAE|FbZ+GK(_(bI1PxA@d1Q diff --git a/lib/cartopy/tests/mpl/test_mpl_integration.py b/lib/cartopy/tests/mpl/test_mpl_integration.py index 16d150fb5..fd7503205 100644 --- a/lib/cartopy/tests/mpl/test_mpl_integration.py +++ b/lib/cartopy/tests/mpl/test_mpl_integration.py @@ -149,7 +149,8 @@ def test_simple_global(): @pytest.mark.natural_earth @ImageTesting(['multiple_projections1' if ccrs.PROJ4_VERSION < (5, 0, 0) - else 'multiple_projections5']) + else 'multiple_projections5'], + tolerance=0.6) def test_multiple_projections(): projections = [ccrs.PlateCarree(), From 3b11914bf391aed8712dc504d5d0c0b4fa7f7626 Mon Sep 17 00:00:00 2001 From: Elliott Sales de Andrade Date: Sat, 3 Nov 2018 03:35:31 -0400 Subject: [PATCH 2/5] Normalize non-ellipse types of boundaries. * Calculate the boundary in the correct orientation from the beginning. * Use NumPy to calculate limits from boundary array instead of routing through Shapely. These make for approximately 100 microseconds per projection improvement (40-50% of time for most of them, except IGH, which is slower overall). --- lib/cartopy/crs.py | 160 ++++++++++-------- .../mpl/test_examples/global_map.png | Bin 436915 -> 436986 bytes 2 files changed, 86 insertions(+), 74 deletions(-) diff --git a/lib/cartopy/crs.py b/lib/cartopy/crs.py index 2af5b5656..895578b0c 100644 --- a/lib/cartopy/crs.py +++ b/lib/cartopy/crs.py @@ -1155,24 +1155,25 @@ def __init__(self, central_longitude=-96.0, central_latitude=39.0, self.cutoff = cutoff n = 91 - lons = [0] - lats = [plat] - lons.extend(np.linspace(central_longitude - 180 + 0.001, - central_longitude + 180 - 0.001, n)) - lats.extend(np.array([cutoff] * n)) - lons.append(0) - lats.append(plat) - - points = self.transform_points(PlateCarree(), - np.array(lons), np.array(lats)) + lons = np.empty(n + 2) + lats = np.full(n + 2, cutoff) + lons[0] = lons[-1] = 0 + lats[0] = lats[-1] = plat if plat == 90: # Ensure clockwise - points = points[::-1, :] + lons[1:-1] = np.linspace(central_longitude + 180 - 0.001, + central_longitude - 180 + 0.001, n) + else: + lons[1:-1] = np.linspace(central_longitude - 180 + 0.001, + central_longitude + 180 - 0.001, n) - self._boundary = sgeom.LineString(points) - bounds = self._boundary.bounds - self._x_limits = bounds[0], bounds[2] - self._y_limits = bounds[1], bounds[3] + points = self.transform_points(PlateCarree(), lons, lats) + + self._boundary = sgeom.LinearRing(points) + mins = np.min(points, axis=0) + maxs = np.max(points, axis=0) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] def __eq__(self, other): res = super(LambertConformal, self).__eq__(other) @@ -1526,21 +1527,23 @@ def __init__(self, proj4_params, central_longitude, globe=None): # Obtain boundary points minlon, maxlon = self._determine_longitude_bounds(central_longitude) - points = [] n = 91 - geodetic_crs = self.as_geodetic() - for lat in np.linspace(-90, 90, n): - points.append(self.transform_point(maxlon, lat, geodetic_crs)) - for lat in np.linspace(90, -90, n): - points.append(self.transform_point(minlon, lat, geodetic_crs)) - points.append(self.transform_point(maxlon, -90, geodetic_crs)) - - self._boundary = sgeom.LineString(points[::-1]) - - x = [p[0] for p in points] - y = [p[1] for p in points] - self._x_limits = min(x), max(x) - self._y_limits = min(y), max(y) + lon = np.empty(2 * n + 1) + lat = np.empty(2 * n + 1) + lon[:n] = minlon + lat[:n] = np.linspace(-90, 90, n) + lon[n:2 * n] = maxlon + lat[n:2 * n] = np.linspace(90, -90, n) + lon[-1] = minlon + lat[-1] = -90 + points = self.transform_points(self.as_geodetic(), lon, lat) + + self._boundary = sgeom.LinearRing(points) + + mins = np.min(points, axis=0) + maxs = np.max(points, axis=0) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] @property def boundary(self): @@ -1653,51 +1656,56 @@ def __init__(self, central_longitude=0, globe=None): epsilon = 1e-10 # Obtain boundary points - points = [] n = 31 - geodetic_crs = self.as_geodetic() + top_interrupted_lons = (-40.0,) + bottom_interrupted_lons = (80.0, -20.0, -100.0) + lons = np.empty( + (2 + 2 * len(top_interrupted_lons + bottom_interrupted_lons)) * n + + 1) + lats = np.empty( + (2 + 2 * len(top_interrupted_lons + bottom_interrupted_lons)) * n + + 1) + end = 0 - # Right boundary - for lat in np.linspace(-90, 90, n): - points.append(self.transform_point(maxlon, lat, geodetic_crs)) + # Left boundary + lons[end:end + n] = minlon + lats[end:end + n] = np.linspace(-90, 90, n) + end += n # Top boundary - interrupted_lons = (-40.0,) - for lon in interrupted_lons: - for lat in np.linspace(90, 0, n): - points.append(self.transform_point(lon + epsilon + - central_longitude, - lat, geodetic_crs)) - for lat in np.linspace(0, 90, n): - points.append(self.transform_point(lon - epsilon + - central_longitude, - lat, geodetic_crs)) + for lon in top_interrupted_lons: + lons[end:end + n] = lon - epsilon + central_longitude + lats[end:end + n] = np.linspace(90, 0, n) + end += n + lons[end:end + n] = lon + epsilon + central_longitude + lats[end:end + n] = np.linspace(0, 90, n) + end += n - # Left boundary - for lat in np.linspace(90, -90, n): - points.append(self.transform_point(minlon, lat, geodetic_crs)) + # Right boundary + lons[end:end + n] = maxlon + lats[end:end + n] = np.linspace(90, -90, n) + end += n # Bottom boundary - interrupted_lons = (-100.0, -20.0, 80.0) - for lon in interrupted_lons: - for lat in np.linspace(-90, 0, n): - points.append(self.transform_point(lon - epsilon + - central_longitude, - lat, geodetic_crs)) - for lat in np.linspace(0, -90, n): - points.append(self.transform_point(lon + epsilon + - central_longitude, - lat, geodetic_crs)) + for lon in bottom_interrupted_lons: + lons[end:end + n] = lon + epsilon + central_longitude + lats[end:end + n] = np.linspace(-90, 0, n) + end += n + lons[end:end + n] = lon - epsilon + central_longitude + lats[end:end + n] = np.linspace(0, -90, n) + end += n # Close loop - points.append(self.transform_point(maxlon, -90, geodetic_crs)) + lons[-1] = minlon + lats[-1] = -90 - self._boundary = sgeom.LineString(points[::-1]) + points = self.transform_points(self.as_geodetic(), lons, lats) + self._boundary = sgeom.LinearRing(points) - x = [p[0] for p in points] - y = [p[1] for p in points] - self._x_limits = min(x), max(x) - self._y_limits = min(y), max(y) + mins = np.min(points, axis=0) + maxs = np.max(points, axis=0) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] @property def boundary(self): @@ -1994,17 +2002,21 @@ def __init__(self, central_longitude=0.0, false_easting=0.0, minlon, maxlon = self._determine_longitude_bounds(central_longitude) points = [] n = 91 - geodetic_crs = self.as_geodetic() - for lat in np.linspace(-90, 90, n): - points.append(self.transform_point(maxlon, lat, geodetic_crs)) - for lat in np.linspace(90, -90, n): - points.append(self.transform_point(minlon, lat, geodetic_crs)) - points.append(self.transform_point(maxlon, -90, geodetic_crs)) - - self._boundary = sgeom.LineString(points[::-1]) - minx, miny, maxx, maxy = self._boundary.bounds - self._x_limits = minx, maxx - self._y_limits = miny, maxy + lon = np.empty(2 * n + 1) + lat = np.empty(2 * n + 1) + lon[:n] = minlon + lat[:n] = np.linspace(-90, 90, n) + lon[n:2 * n] = maxlon + lat[n:2 * n] = np.linspace(90, -90, n) + lon[-1] = minlon + lat[-1] = -90 + points = self.transform_points(self.as_geodetic(), lon, lat) + + self._boundary = sgeom.LinearRing(points) + mins = np.min(points, axis=0) + maxs = np.max(points, axis=0) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] self._threshold = max(np.abs(self.x_limits + self.y_limits)) * 1e-5 @property diff --git a/lib/cartopy/tests/mpl/baseline_images/mpl/test_examples/global_map.png b/lib/cartopy/tests/mpl/baseline_images/mpl/test_examples/global_map.png index 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Use NumPy to determine limits, and always create LinearRings, not LineStrings. --- lib/cartopy/crs.py | 18 ++++++++++-------- 1 file changed, 10 insertions(+), 8 deletions(-) diff --git a/lib/cartopy/crs.py b/lib/cartopy/crs.py index 895578b0c..710e64fad 100644 --- a/lib/cartopy/crs.py +++ b/lib/cartopy/crs.py @@ -1869,10 +1869,11 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0, points = self.transform_points(self.as_geodetic(), lons, lats) - self._boundary = sgeom.LineString(points) - bounds = self._boundary.bounds - self._x_limits = bounds[0], bounds[2] - self._y_limits = bounds[1], bounds[3] + self._boundary = sgeom.LinearRing(points) + mins = np.min(points, axis=0) + maxs = np.max(points, axis=0) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] @property def boundary(self): @@ -2104,10 +2105,11 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0, points = self.transform_points(self.as_geodetic(), lons, lats) - self._boundary = sgeom.LineString(points) - bounds = self._boundary.bounds - self._x_limits = bounds[0], bounds[2] - self._y_limits = bounds[1], bounds[3] + self._boundary = sgeom.LinearRing(points) + mins = np.min(points, axis=0) + maxs = np.max(points, axis=0) + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] @property def boundary(self): From a483972aa8b2875092bc528468a3517b0a3d91a6 Mon Sep 17 00:00:00 2001 From: Elliott Sales de Andrade Date: Sat, 3 Nov 2018 03:40:32 -0400 Subject: [PATCH 4/5] Always return LinearRings for the boundary. --- lib/cartopy/crs.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/lib/cartopy/crs.py b/lib/cartopy/crs.py index 710e64fad..97b6c3528 100644 --- a/lib/cartopy/crs.py +++ b/lib/cartopy/crs.py @@ -123,7 +123,7 @@ def cw_boundary(self): try: boundary = self._cw_boundary except AttributeError: - boundary = sgeom.LineString(self.boundary) + boundary = sgeom.LinearRing(self.boundary) self._cw_boundary = boundary return boundary @@ -132,7 +132,7 @@ def ccw_boundary(self): try: boundary = self._ccw_boundary except AttributeError: - boundary = sgeom.LineString(self.boundary.coords[::-1]) + boundary = sgeom.LinearRing(self.boundary.coords[::-1]) self._ccw_boundary = boundary return boundary From 9dce9084b67f30f94d8d878ff508a45f69fecd3b Mon Sep 17 00:00:00 2001 From: Elliott Sales de Andrade Date: Sat, 3 Nov 2018 04:40:10 -0400 Subject: [PATCH 5/5] Use consistent names for private projection limits. --- lib/cartopy/crs.py | 36 ++++++++++++++++++------------------ 1 file changed, 18 insertions(+), 18 deletions(-) diff --git a/lib/cartopy/crs.py b/lib/cartopy/crs.py index 97b6c3528..dc9daeb67 100644 --- a/lib/cartopy/crs.py +++ b/lib/cartopy/crs.py @@ -1011,23 +1011,23 @@ def __init__(self, central_longitude=0.0, limits = self.transform_points(Geodetic(), np.array([minlon, maxlon]), np.array([min_latitude, max_latitude])) - self._xlimits = tuple(limits[..., 0]) - self._ylimits = tuple(limits[..., 1]) + self._x_limits = tuple(limits[..., 0]) + self._y_limits = tuple(limits[..., 1]) self._threshold = min(np.diff(self.x_limits)[0] / 720, np.diff(self.y_limits)[0] / 360) def __eq__(self, other): res = super(Mercator, self).__eq__(other) - if hasattr(other, "_ylimits") and hasattr(other, "_xlimits"): - res = res and self._ylimits == other._ylimits and \ - self._xlimits == other._xlimits + if hasattr(other, "_y_limits") and hasattr(other, "_x_limits"): + res = res and self._y_limits == other._y_limits and \ + self._x_limits == other._x_limits return res def __ne__(self, other): return not self == other def __hash__(self): - return hash((self.proj4_init, self._xlimits, self._ylimits)) + return hash((self.proj4_init, self._x_limits, self._y_limits)) @property def threshold(self): @@ -1043,11 +1043,11 @@ def boundary(self): @property def x_limits(self): - return self._xlimits + return self._x_limits @property def y_limits(self): - return self._ylimits + return self._y_limits # Define a specific instance of a Mercator projection, the Google mercator. @@ -1499,9 +1499,9 @@ def __init__(self, central_longitude=0.0, central_latitude=0.0, self._boundary = sgeom.polygon.LinearRing(coords.T) mins = np.min(coords, axis=1) maxs = np.max(coords, axis=1) - self._xlim = mins[0], maxs[0] - self._ylim = mins[1], maxs[1] - self._threshold = np.diff(self._xlim)[0] * 0.02 + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] + self._threshold = np.diff(self._x_limits)[0] * 0.02 @property def boundary(self): @@ -1513,11 +1513,11 @@ def threshold(self): @property def x_limits(self): - return self._xlim + return self._x_limits @property def y_limits(self): - return self._ylim + return self._y_limits class _WarpedRectangularProjection(six.with_metaclass(ABCMeta, Projection)): @@ -1749,9 +1749,9 @@ def __init__(self, projection, satellite_height=35785831, self._boundary = sgeom.LinearRing(coords.T) mins = np.min(coords, axis=1) maxs = np.max(coords, axis=1) - self._xlim = mins[0], maxs[0] - self._ylim = mins[1], maxs[1] - self._threshold = np.diff(self._xlim)[0] * 0.02 + self._x_limits = mins[0], maxs[0] + self._y_limits = mins[1], maxs[1] + self._threshold = np.diff(self._x_limits)[0] * 0.02 @property def boundary(self): @@ -1763,11 +1763,11 @@ def threshold(self): @property def x_limits(self): - return self._xlim + return self._x_limits @property def y_limits(self): - return self._ylim + return self._y_limits class Geostationary(_Satellite):