Adds example using projection_matrix

examples/grid_examples/grid_F0F1F2.py

+import pyfstat
+import numpy as np
+import matplotlib.pyplot as plt
+from projection_matrix import projection_matrix
+
+plt.style.use('paper')
+
+F0 = 30.0
+F1 = 1e-10
+F2 = 0
+Alpha = 1.0
+Delta = 1.5
+
+# Properties of the GW data
+sqrtSX = 1e-23
+tstart = 1000000000
+duration = 10*86400
+tend = tstart+duration
+tref = .5*(tstart+tend)
+
+depth = 20
+label = 'grid_F0F1F2'
+outdir = 'data'
+
+h0 = sqrtSX / depth
+
+data = pyfstat.Writer(
+    label=label, outdir=outdir, tref=tref,
+    tstart=tstart, F0=F0, F1=F1, F2=F2, duration=duration, Alpha=Alpha,
+    Delta=Delta, h0=h0, sqrtSX=sqrtSX)
+data.make_data()
+
+m = 0.01
+dF0 = np.sqrt(12*m)/(np.pi*duration)
+dF1 = np.sqrt(180*m)/(np.pi*duration**2)
+dF2 = 1e-17
+N = 100
+DeltaF0 = N*dF0
+DeltaF1 = N*dF1
+DeltaF2 = N*dF2
+F0s = [F0-DeltaF0/2., F0+DeltaF0/2., dF0]
+F1s = [F1-DeltaF1/2., F1+DeltaF1/2., dF1]
+F2s = [F2-DeltaF2/2., F2+DeltaF2/2., dF2]
+Alphas = [Alpha]
+Deltas = [Delta]
+search = pyfstat.GridSearch(
+    'grid_F0F1F2', 'data', data.sftfilepath, F0s, F1s,
+    F2s, Alphas, Deltas, tref, tstart, tend)
+search.run()
+
+F0_vals = np.unique(search.data[:, 2]) - F0
+F1_vals = np.unique(search.data[:, 3]) - F1
+F2_vals = np.unique(search.data[:, 4]) - F2
+twoF = search.data[:, -1].reshape((len(F0_vals), len(F1_vals), len(F2_vals)))
+xyz = [F0_vals, F1_vals, F2_vals]
+labels = ['$f - f_0$', '$\dot{f} - \dot{f}_0$', '$\ddot{f} - \ddot{f}_0$',
+          '$\widetilde{2\mathcal{F}}$']
+fig, axes = projection_matrix(twoF, xyz, projection='log_mean', labels=labels,
+                              whspace=0.1, factor=1.8)
+fig.savefig('{}/{}_projection_matrix.png'.format(outdir, label))