From e6926e6e958ea61e2df9acd972f2195d3a31cbbb Mon Sep 17 00:00:00 2001 From: Tom Flannaghan Date: Mon, 27 Aug 2018 08:45:53 +0100 Subject: [PATCH 1/5] FIX: Ensure Euler step is always called when going out of bounds. This makes figures neater. Also fix places that were using dmap.grid.nx for the width of the grid, which should be dmap.grid.nx - 1. --- lib/matplotlib/streamplot.py | 55 +- .../test_pickle/multi_pickle.png | Bin 78879 -> 83940 bytes .../test_streamplot/streamplot_colormap.pdf | Bin 15466 -> 15155 bytes .../test_streamplot/streamplot_colormap.png | Bin 62755 -> 63844 bytes .../test_streamplot/streamplot_colormap.svg | 4006 ++++++----- .../test_streamplot/streamplot_direction.png | Bin 16345 -> 16383 bytes .../test_streamplot/streamplot_linewidth.pdf | Bin 17993 -> 17699 bytes .../test_streamplot/streamplot_linewidth.png | Bin 68867 -> 69189 bytes .../test_streamplot/streamplot_linewidth.svg | 4514 ++++++------- .../streamplot_masks_and_nans.pdf | Bin 26465 -> 27442 bytes .../streamplot_masks_and_nans.png | Bin 102574 -> 106238 bytes .../streamplot_masks_and_nans.svg | 5984 +++++++++-------- .../test_streamplot/streamplot_maxlength.png | Bin 37561 -> 37519 bytes .../streamplot_startpoints.pdf | Bin 7477 -> 7529 bytes .../streamplot_startpoints.png | Bin 31493 -> 31947 bytes .../streamplot_startpoints.svg | 1764 ++--- .../test_transforms/pre_transform_data.pdf | Bin 29941 -> 33788 bytes .../test_transforms/pre_transform_data.png | Bin 64344 -> 66311 bytes .../test_transforms/pre_transform_data.svg | 5289 ++++++++------- 19 files changed, 11105 insertions(+), 10507 deletions(-) diff --git a/lib/matplotlib/streamplot.py b/lib/matplotlib/streamplot.py index f8e431d20a2f..5e382138f1e9 100644 --- a/lib/matplotlib/streamplot.py +++ b/lib/matplotlib/streamplot.py @@ -133,7 +133,7 @@ def streamplot(axes, x, y, u, v, density=1, linewidth=None, color=None, line_kw['zorder'] = zorder arrow_kw['zorder'] = zorder - ## Sanity checks. + # Sanity checks. if u.shape != grid.shape or v.shape != grid.shape: raise ValueError("'u' and 'v' must match the shape of 'Grid(x, y)'") @@ -156,8 +156,8 @@ def streamplot(axes, x, y, u, v, density=1, linewidth=None, color=None, # Check if start_points are outside the data boundaries for xs, ys in sp2: - if not (grid.x_origin <= xs <= grid.x_origin + grid.width - and grid.y_origin <= ys <= grid.y_origin + grid.height): + if not (grid.x_origin <= xs <= grid.x_origin + grid.width and + grid.y_origin <= ys <= grid.y_origin + grid.height): raise ValueError("Starting point ({}, {}) outside of data " "boundaries".format(xs, ys)) @@ -263,8 +263,8 @@ def __init__(self, grid, mask): self.grid = grid self.mask = mask # Constants for conversion between grid- and mask-coordinates - self.x_grid2mask = (mask.nx - 1) / grid.nx - self.y_grid2mask = (mask.ny - 1) / grid.ny + self.x_grid2mask = (mask.nx - 1) / (grid.nx - 1) + self.y_grid2mask = (mask.ny - 1) / (grid.ny - 1) self.x_mask2grid = 1. / self.x_grid2mask self.y_mask2grid = 1. / self.y_grid2mask @@ -413,7 +413,7 @@ class TerminateTrajectory(Exception): # Integrator definitions -#======================== +# ======================= def get_integrator(u, v, dmap, minlength, maxlength, integration_direction): @@ -421,8 +421,8 @@ def get_integrator(u, v, dmap, minlength, maxlength, integration_direction): u, v = dmap.data2grid(u, v) # speed (path length) will be in axes-coordinates - u_ax = u / dmap.grid.nx - v_ax = v / dmap.grid.ny + u_ax = u / (dmap.grid.nx - 1) + v_ax = v / (dmap.grid.ny - 1) speed = np.ma.sqrt(u_ax ** 2 + v_ax ** 2) def forward_time(xi, yi): @@ -480,6 +480,10 @@ def integrate(x0, y0): return integrate +class OutOfBounds(Exception): + pass + + def _integrate_rk12(x0, y0, dmap, f, maxlength): """2nd-order Runge-Kutta algorithm with adaptive step size. @@ -523,18 +527,31 @@ def _integrate_rk12(x0, y0, dmap, f, maxlength): xf_traj = [] yf_traj = [] - while dmap.grid.within_grid(xi, yi): - xf_traj.append(xi) - yf_traj.append(yi) + out_of_bounds = False + while True: try: + if dmap.grid.within_grid(xi, yi): + xf_traj.append(xi) + yf_traj.append(yi) + else: + raise OutOfBounds + k1x, k1y = f(xi, yi) - k2x, k2y = f(xi + ds * k1x, - yi + ds * k1y) - except IndexError: - # Out of the domain on one of the intermediate integration steps. - # Take an Euler step to the boundary to improve neatness. - ds, xf_traj, yf_traj = _euler_step(xf_traj, yf_traj, dmap, f) - stotal += ds + + if dmap.grid.within_grid(xi + ds * k1x, yi + ds * k1y): + k2x, k2y = f(xi + ds * k1x, + yi + ds * k1y) + else: + raise OutOfBounds + + except OutOfBounds: + # Out of the domain during this step. + # Take an Euler step to the boundary to improve neatness + # unless the trajectory is currently empty. + if xf_traj: + ds, xf_traj, yf_traj = _euler_step(xf_traj, yf_traj, + dmap, f) + stotal += ds break except TerminateTrajectory: break @@ -546,7 +563,7 @@ def _integrate_rk12(x0, y0, dmap, f, maxlength): nx, ny = dmap.grid.shape # Error is normalized to the axes coordinates - error = np.hypot((dx2 - dx1) / nx, (dy2 - dy1) / ny) + error = np.hypot((dx2 - dx1) / (nx - 1), (dy2 - dy1) / (ny - 1)) # Only save step if within error tolerance if error < maxerror: diff --git 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style="fill:#1f77b4;stroke:#1f77b4;stroke-linecap:round;stroke-width:0.62708;"/> - - + +" style="fill:#1f77b4;stroke:#1f77b4;stroke-linecap:round;stroke-width:0.205215;"/> + + + + + + + + + + + + + + + + + + + + + + + + + + + + - + - + - + @@ -4856,7 +5467,7 @@ L 414.72 41.472 - + From f924361208b7fd8b1aaa4c7c4e7507abe61132ce Mon Sep 17 00:00:00 2001 From: Tom Flannaghan Date: Mon, 27 Aug 2018 09:19:41 +0100 Subject: [PATCH 2/5] Remove unused code --- lib/matplotlib/streamplot.py | 1 - 1 file changed, 1 deletion(-) diff --git a/lib/matplotlib/streamplot.py b/lib/matplotlib/streamplot.py index 5e382138f1e9..f84105b6be71 100644 --- a/lib/matplotlib/streamplot.py +++ b/lib/matplotlib/streamplot.py @@ -527,7 +527,6 @@ def _integrate_rk12(x0, y0, dmap, f, maxlength): xf_traj = [] yf_traj = [] - out_of_bounds = False while True: try: if dmap.grid.within_grid(xi, yi): From e00e512485c69ff47b4ffce652126e6275c2f90c Mon Sep 17 00:00:00 2001 From: Tom Flannaghan Date: Mon, 3 Sep 2018 21:22:24 +0100 Subject: [PATCH 3/5] Improve the OutOfBounds logic in the integration. Moves the raising to the gradient steps simplifying the integrator code a bit. Also makes OutOfBounds inherit from IndexError as suggested by tacaswell. --- lib/matplotlib/streamplot.py | 15 +++++++-------- 1 file changed, 7 insertions(+), 8 deletions(-) diff --git a/lib/matplotlib/streamplot.py b/lib/matplotlib/streamplot.py index f84105b6be71..f1886f3fa7a8 100644 --- a/lib/matplotlib/streamplot.py +++ b/lib/matplotlib/streamplot.py @@ -426,6 +426,8 @@ def get_integrator(u, v, dmap, minlength, maxlength, integration_direction): speed = np.ma.sqrt(u_ax ** 2 + v_ax ** 2) def forward_time(xi, yi): + if not dmap.grid.within_grid(xi, yi): + raise OutOfBounds ds_dt = interpgrid(speed, xi, yi) if ds_dt == 0: raise TerminateTrajectory() @@ -480,7 +482,7 @@ def integrate(x0, y0): return integrate -class OutOfBounds(Exception): +class OutOfBounds(IndexError): pass @@ -535,13 +537,11 @@ def _integrate_rk12(x0, y0, dmap, f, maxlength): else: raise OutOfBounds + # Compute the two intermediate gradients. + # f should raise OutOfBounds if the locations given are + # outside the grid. k1x, k1y = f(xi, yi) - - if dmap.grid.within_grid(xi + ds * k1x, yi + ds * k1y): - k2x, k2y = f(xi + ds * k1x, - yi + ds * k1y) - else: - raise OutOfBounds + k2x, k2y = f(xi + ds * k1x, yi + ds * k1y) except OutOfBounds: # Out of the domain during this step. @@ -667,7 +667,6 @@ def _gen_starting_points(shape): x, y = 0, 0 direction = 'right' for i in range(nx * ny): - yield x, y if direction == 'right': From 91c6718eb676d8efe3199964f139bd7884c65b90 Mon Sep 17 00:00:00 2001 From: Thomas A Caswell Date: Sun, 1 Sep 2019 16:58:01 -0400 Subject: [PATCH 4/5] TST: push up the tolerance on mac We are seeing 1bit differences on 2 pixel for this test between linux/win vs mac. --- lib/matplotlib/tests/test_streamplot.py | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/lib/matplotlib/tests/test_streamplot.py b/lib/matplotlib/tests/test_streamplot.py index 9ea89e049d19..8f36274c54aa 100644 --- a/lib/matplotlib/tests/test_streamplot.py +++ b/lib/matplotlib/tests/test_streamplot.py @@ -9,7 +9,7 @@ on_win = (sys.platform == 'win32') - +on_mac = (sys.platform == 'darwin') def velocity_field(): Y, X = np.mgrid[-3:3:100j, -3:3:100j] @@ -79,7 +79,8 @@ def test_masks_and_nans(): @image_comparison(['streamplot_maxlength.png'], - remove_text=True, style='mpl20') + remove_text=True, style='mpl20', + tol=0.002 if on_mac else 0) def test_maxlength(): x, y, U, V = swirl_velocity_field() ax = plt.figure().subplots() From 4f1c54e6cdd3a1229d676ad38e46f5b7f286c0e6 Mon Sep 17 00:00:00 2001 From: Thomas A Caswell Date: Tue, 3 Sep 2019 15:53:14 -0400 Subject: [PATCH 5/5] STY: add whitespace --- lib/matplotlib/tests/test_streamplot.py | 1 + 1 file changed, 1 insertion(+) diff --git a/lib/matplotlib/tests/test_streamplot.py b/lib/matplotlib/tests/test_streamplot.py index 8f36274c54aa..d2218f6f288d 100644 --- a/lib/matplotlib/tests/test_streamplot.py +++ b/lib/matplotlib/tests/test_streamplot.py @@ -11,6 +11,7 @@ on_win = (sys.platform == 'win32') on_mac = (sys.platform == 'darwin') + def velocity_field(): Y, X = np.mgrid[-3:3:100j, -3:3:100j] U = -1 - X**2 + Y

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