Added script to check accuracy of gravity calculation

examples/plot_gravity_checks.py

+#!/usr/bin/env python
+
+import sys
+import glob
+import re
+import numpy as np
+import matplotlib.pyplot as plt
+
+params = {'axes.labelsize': 14,
+'axes.titlesize': 18,
+'font.size': 12,
+'legend.fontsize': 12,
+'xtick.labelsize': 14,
+'ytick.labelsize': 14,
+'text.usetex': True,
+'figure.figsize': (10, 10),
+'figure.subplot.left'    : 0.06,
+'figure.subplot.right'   : 0.99  ,
+'figure.subplot.bottom'  : 0.06  ,
+'figure.subplot.top'     : 0.985  ,
+'figure.subplot.wspace'  : 0.14  ,
+'figure.subplot.hspace'  : 0.14  ,
+'lines.markersize' : 6,
+'lines.linewidth' : 3.,
+'text.latex.unicode': True
+}
+plt.rcParams.update(params)
+plt.rc('font',**{'family':'sans-serif','sans-serif':['Times']})
+
+min_error = 1e-6
+max_error = 1e-1
+num_bins = 51
+
+# Construct the bins
+bin_edges = np.linspace(np.log10(min_error), np.log10(max_error), num_bins + 1)
+bin_size = (np.log10(max_error) - np.log10(min_error)) / num_bins
+bins = 0.5*(bin_edges[1:] + bin_edges[:-1])
+bin_edges = 10**bin_edges
+bins = 10**bins
+
+# Colours
+cols = ['b', 'g', 'r', 'm']
+
+# Time-step to plot
+step = int(sys.argv[1])
+
+# Find the files for the different expansion orders
+order_list = glob.glob("gravity_checks_step%d_order*.dat"%step)
+num_order = len(order_list)
+
+# Get the multipole orders
+order = np.zeros(num_order)
+for i in range(num_order):
+    order[i] = int(order_list[i][26])
+    
+# Start the plot
+plt.figure()
+
+# Get the Gadget-2 data if existing
+gadget2_file_list = glob.glob("forcetest_gadget2.txt")
+if len(gadget2_file_list) != 0:
+
+    gadget2_data = np.loadtxt(gadget2_file_list[0])
+    gadget2_ids = gadget2_data[:,0]
+    gadget2_pos = gadget2_data[:,1:4]
+    gadget2_a_exact = gadget2_data[:,4:7]
+    gadget2_a_grav = gadget2_data[:, 7:10]
+
+    # Sort stuff
+    sort_index = np.argsort(gadget2_ids)
+    gadget2_ids = gadget2_ids[sort_index]
+    gadget2_pos = gadget2_pos[sort_index, :]
+    gadget2_a_exact = gadget2_a_exact[sort_index, :]
+    gadget2_a_grav = gadget2_a_grav[sort_index, :]
+    
+    # Compute the error norm
+    diff = gadget2_a_exact - gadget2_a_grav
+
+    norm_diff = np.sqrt(diff[:,0]**2 + diff[:,1]**2 + diff[:,2]**2)
+    norm_a = np.sqrt(gadget2_a_exact[:,0]**2 + gadget2_a_exact[:,1]**2 + gadget2_a_exact[:,2]**2)
+
+    norm_error = norm_diff / norm_a
+    error_x = abs(diff[:,0]) / norm_a
+    error_y = abs(diff[:,1]) / norm_a
+    error_z = abs(diff[:,2]) / norm_a
+    
+    # Bin the error
+    norm_error_hist,_ = np.histogram(norm_error, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    error_x_hist,_ = np.histogram(error_x, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    error_y_hist,_ = np.histogram(error_y, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    error_z_hist,_ = np.histogram(error_z, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    
+    norm_median = np.median(norm_error)
+    median_x = np.median(error_x)
+    median_y = np.median(error_y)
+    median_z = np.median(error_z)
+
+    norm_per95 = np.percentile(norm_error,95)
+    per95_x = np.percentile(error_x,95)
+    per95_y = np.percentile(error_y,95)
+    per95_z = np.percentile(error_z,95)
+
+    plt.subplot(221)    
+    plt.semilogx(bins, norm_error_hist, 'k--', label="Gadget-2")
+    plt.plot([norm_median, norm_median], [2.7, 3], 'k-', lw=1)
+    plt.plot([norm_per95, norm_per95], [2.7, 3], 'k:', lw=1)
+    plt.subplot(222)
+    plt.semilogx(bins, error_x_hist, 'k--', label="Gadget-2")
+    plt.plot([median_x, median_x], [1.8, 2], 'k-', lw=1)
+    plt.plot([per95_x, per95_x], [1.8, 2], 'k:', lw=1)
+    plt.subplot(223)    
+    plt.semilogx(bins, error_y_hist, 'k--', label="Gadget-2")
+    plt.plot([median_y, median_y], [1.8, 2], 'k-', lw=1)
+    plt.plot([per95_y, per95_y], [1.8, 2], 'k:', lw=1)
+    plt.subplot(224)    
+    plt.semilogx(bins, error_z_hist, 'k--', label="Gadget-2")
+    plt.plot([median_z, median_z], [1.8, 2], 'k-', lw=1)
+    plt.plot([per95_z, per95_z], [1.8, 2], 'k:', lw=1)
+
+
+# Plot the different histograms
+for i in range(num_order-1, -1, -1):
+    data = np.loadtxt(order_list[i])
+    ids = data[:,0]
+    pos = data[:,1:4]
+    a_exact = data[:,4:7]
+    a_grav = data[:, 7:10]
+
+    # Sort stuff
+    sort_index = np.argsort(ids)
+    ids = ids[sort_index]
+    pos = pos[sort_index, :]
+    a_exact = a_exact[sort_index, :]
+    a_grav = a_grav[sort_index, :]
+
+    # Cross-checks
+    if not np.array_equal(ids, gadget2_ids):
+        print "Comparing different IDs !"
+
+    if np.max(np.abs(pos - gadget2_pos)/np.abs(gadget2_pos)) > 1e-6:
+        print "Comparing different positions ! max difference:"
+        index = np.argmax(pos[:,0]**2 + pos[:,1]**2 + pos[:,2]**2 - gadget2_pos[:,0]**2 - gadget2_pos[:,1]**2 - gadget2_pos[:,2]**2)
+        print "Gadget2 (id=%d):"%gadget2_ids[index], gadget2_pos[index,:], "SWIFT (id=%d):"%ids[index], pos[index,:], "\n"
+
+    if np.max(np.abs(a_exact - gadget2_a_exact) / np.abs(gadget2_a_exact)) > 2e-6:
+        print "Comparing different exact accelerations ! max difference:"
+        index = np.argmax(a_exact[:,0]**2 + a_exact[:,1]**2 + a_exact[:,2]**2 - gadget2_a_exact[:,0]**2 - gadget2_a_exact[:,1]**2 - gadget2_a_exact[:,2]**2)
+        print "a_exact --- Gadget2:", gadget2_a_exact[index,:], "SWIFT:", a_exact[index,:]
+        print "a_grav ---  Gadget2:", gadget2_a_grav[index,:], "SWIFT:", a_grav[index,:],"\n"
+        print "pos ---     Gadget2: (id=%d):"%gadget2_ids[index], gadget2_pos[index,:], "SWIFT (id=%d):"%ids[index], pos[index,:],"\n"
+        
+        
+    # Compute the error norm
+    diff = a_exact - a_grav
+
+    norm_diff = np.sqrt(diff[:,0]**2 + diff[:,1]**2 + diff[:,2]**2)
+    norm_a = np.sqrt(a_exact[:,0]**2 + a_exact[:,1]**2 + a_exact[:,2]**2)
+
+    norm_error = norm_diff / norm_a
+    error_x = abs(diff[:,0]) / norm_a
+    error_y = abs(diff[:,1]) / norm_a
+    error_z = abs(diff[:,2]) / norm_a
+    
+    # Bin the error
+    norm_error_hist,_ = np.histogram(norm_error, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    error_x_hist,_ = np.histogram(error_x, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    error_y_hist,_ = np.histogram(error_y, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+    error_z_hist,_ = np.histogram(error_z, bins=bin_edges, density=False) / (np.size(norm_error) * bin_size)
+
+    norm_median = np.median(norm_error)
+    median_x = np.median(error_x)
+    median_y = np.median(error_y)
+    median_z = np.median(error_z)
+
+    norm_per95 = np.percentile(norm_error,95)
+    per95_x = np.percentile(error_x,95)
+    per95_y = np.percentile(error_y,95)
+    per95_z = np.percentile(error_z,95)
+    
+    plt.subplot(221)
+    plt.semilogx(bins, norm_error_hist, color=cols[i],label="SWIFT m-poles order %d"%order[i])
+    plt.plot([norm_median, norm_median], [2.7, 3],'-', color=cols[i], lw=1)
+    plt.plot([norm_per95, norm_per95], [2.7, 3],':', color=cols[i], lw=1)
+    plt.subplot(222)    
+    plt.semilogx(bins, error_x_hist, color=cols[i],label="SWIFT m-poles order %d"%order[i])
+    plt.plot([median_x, median_x], [1.8, 2],'-', color=cols[i], lw=1)
+    plt.plot([per95_x, per95_x], [1.8, 2],':', color=cols[i], lw=1)
+    plt.subplot(223)    
+    plt.semilogx(bins, error_y_hist, color=cols[i],label="SWIFT m-poles order %d"%order[i])
+    plt.plot([median_y, median_y], [1.8, 2],'-', color=cols[i], lw=1)
+    plt.plot([per95_y, per95_y], [1.8, 2],':', color=cols[i], lw=1)
+    plt.subplot(224)    
+    plt.semilogx(bins, error_z_hist, color=cols[i],label="SWIFT m-poles order %d"%order[i])
+    plt.plot([median_z, median_z], [1.8, 2],'-', color=cols[i], lw=1)
+    plt.plot([per95_z, per95_z], [1.8, 2],':', color=cols[i], lw=1)
+
+    
+plt.subplot(221)
+plt.xlabel("$|\delta \overrightarrow{a}|/|\overrightarrow{a}_{exact}|$")
+plt.ylabel("Density")
+plt.xlim(min_error, 2*max_error)
+plt.ylim(0,3)
+plt.legend(loc="upper left")
+plt.subplot(222)    
+plt.xlabel("$\delta a_x/|\overrightarrow{a}_{exact}|$")
+plt.ylabel("Density")
+plt.xlim(min_error, 2*max_error)
+plt.ylim(0,2)
+#plt.legend(loc="center left")
+plt.subplot(223)    
+plt.xlabel("$\delta a_y/|\overrightarrow{a}_{exact}|$")
+plt.ylabel("Density")
+plt.xlim(min_error, 2*max_error)
+plt.ylim(0,2)
+#plt.legend(loc="center left")
+plt.subplot(224)    
+plt.xlabel("$\delta a_z/|\overrightarrow{a}_{exact}|$")
+plt.ylabel("Density")
+plt.xlim(min_error, 2*max_error)
+plt.ylim(0,2)
+#plt.legend(loc="center left")
+
+
+
+plt.savefig("gravity_checks_step%d.png"%step)