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Diffstat (limited to 'plot_llh/triangle.py')
| -rw-r--r-- | plot_llh/triangle.py | 258 |
1 files changed, 258 insertions, 0 deletions
diff --git a/plot_llh/triangle.py b/plot_llh/triangle.py new file mode 100644 index 0000000..9cc98a7 --- /dev/null +++ b/plot_llh/triangle.py @@ -0,0 +1,258 @@ +#! /usr/bin/env python +""" +Make triangle plot +""" + +from __future__ import absolute_import, division + +import sys +sys.path.extend(['.', '..']) + +import numpy as np +from scipy import interpolate + +import matplotlib as mpl +import matplotlib.gridspec as gridspec +import matplotlib.pyplot as plt +from matplotlib.patches import Circle +from matplotlib.legend_handler import HandlerPatch +plt.style.use('./paper.mplstyle') + +import ternary + +from utils import fr as fr_utils +from utils import misc as misc_utils +from utils.enums import MixingScenario + + +OUTFOLDER = './plots/' +OUTFORMAT = ['png', 'pdf'] +FONTSIZE = 23 +PURPLE = [0.5019607843137255, 0.0, 0.5019607843137255] + + +class HandlerCircle(HandlerPatch): + def create_artists(self, legend, orig_handle, + xdescent, ydescent, width, height, + fontsize, trans): + r = 10 + x = r + width//2 + 10 + y = height//2 - 3 + + # create + p = Circle(xy=(x, y), radius=r) + + # update with data from oryginal object + self.update_prop(p, orig_handle, legend) + + # move xy to legend + p.set_transform(trans) + + return [p] + + +def swap(x): + y = x.T + return np.vstack([y[1], y[-1], y[0]]).T + + +def interp(i): + x, y, z = i.T + p = np.linspace(0, 1, len(x)) + q = np.linspace(0, 1, 100) + s = 0.2 + x_ = interpolate.splev(q, interpolate.splrep(p, x, s=s)) + y_ = interpolate.splev(q, interpolate.splrep(p, y, s=s)) + z_ = interpolate.splev(q, interpolate.splrep(p, z, s=s)) + return np.vstack([x_, y_, z_]).T + + +def setupfigure(tax, show_120=True, show_001=False, legend=True): + # Draw Boundary and Gridlines + tax.boundary(linewidth=2.0) + tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, + ls='--') + tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, + ls=':') + + # Set Axis labels and Title + tax.left_axis_label(r"$f_{\tau}^{\oplus}$", fontsize=FONTSIZE+8, + offset=0.2, rotation=0) + tax.right_axis_label(r"$f_{\mu}^{\oplus}$", fontsize=FONTSIZE+8, + offset=0.2, rotation=0) + tax.bottom_axis_label(r"$f_{e}^{\oplus}$", fontsize=FONTSIZE+8, + position=(0.55, -0.20/2, 0.5), rotation=0) + + # Remove default Matplotlib axis + tax.get_axes().axis('off') + tax.clear_matplotlib_ticks() + + # Legend + if legend: + l_size = FONTSIZE + legend_elements = [] + if show_120: + legend_elements.append( + Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k', + linewidth=2., label=r'$\left (1:2:0\right )$') + ) + legend_elements.append( + Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k', + linewidth=2., label=r'$\left (0:1:0\right )$') + ) + legend_elements.append( + Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k', + linewidth=2., label=r'$\left (1:0:0\right )$') + ) + if show_001: + legend_elements.append( + Circle((0., 0.), 0.1, facecolor=PURPLE+[0.7], edgecolor='k', + linewidth=2., label=r'$\left (0:0:1\right )$') + ) + legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8), + title='Source composition', + fontsize=l_size, + handler_map={Circle: HandlerCircle()}) + plt.setp(legend.get_title(), fontsize=l_size) + legend.get_frame().set_linestyle('-') + + # Set ticks + tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03, + fontsize=FONTSIZE, tick_formats='%.1f') + + tax._redraw_labels() + + return + + +# Load contours +bc = np.genfromtxt('./bayes_contours.csv', delimiter=',', skip_header=2) +print bc + +contour_68_upper = interp(swap(bc[:,:3])) +contour_68_lower = interp(swap(bc[:,3:6])) +contour_90_upper = interp(swap(bc[:,6:9])) +contour_90_lower = interp(swap(bc[:,9:])) + +# Load data +sm_010 = np.load('./mcmc_DIM3_sfr_0_1_0_mfr_3.29685E+15_7.88411E+15_6.83344E+15_fix_scale_0.1_sigma_100000_proc.npy') +sm_100 = np.load('./mcmc_DIM3_sfr_1_0_0_mfr_1.98171E+16_6.59371E+15_9.61795E+15_fix_scale_0.1_sigma_100000_proc.npy') +bsm_010 = np.load('./mcmc_chains_DIM3_sfr_0_1_0_mfr_0_1_0_MixingScenario.T13_sigma_010.npy') +bsm_100 = np.load('./mcmc_chains_DIM3_sfr_1_0_0_mfr_1_0_0_MixingScenario.T23_sigma_010.npy') + +# Figure +fig = plt.figure(figsize=(12, 12)) +ax = fig.add_subplot(111) +ax.set_aspect('equal') + +# Boundary and Gridlines +scale = 1 +fig, tax = ternary.figure(ax=ax, scale=scale) +setupfigure(tax, show_120=False) + +# Plot +tax.scatter(sm_010, marker='.', s=0.2, alpha=0.2, color='green') +tax.scatter(sm_100, marker='.', s=0.2, alpha=0.2, color='blue') +tax.scatter(bsm_010, marker='.', s=0.2, alpha=0.2, color='green') +tax.scatter(bsm_100, marker='.', s=0.2, alpha=0.2, color='blue') + +# Contour +tax.plot(contour_68_upper, linewidth=2.3, color='grey', zorder=0, alpha=0.6) +tax.plot(contour_68_lower, linewidth=2.3, color='grey', zorder=0, alpha=0.6) +tax.plot(contour_90_upper, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6) +tax.plot(contour_90_lower, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6) + +# Lines +marker_style = dict( + linestyle=' ', color='darkorange', linewidth=1.2, + markersize=14, zorder=0 +) + +p1 = (0.18301213, 0.43765598, 0.37933189) +p2 = (0, 1, 0) +divisions = 46 +x_d = np.linspace(p1[0], p2[0], divisions+1) +y_d = np.linspace(p1[1], p2[1], divisions+1) +z_d = np.linspace(p1[2], p2[2], divisions+1) +for n in xrange(divisions-2): + p = (x_d[n], y_d[n], z_d[n]) + q = (x_d[n+1], y_d[n+1], z_d[n+1]) + tax.line(p, q, marker=(3, 2, 180+46.5), **marker_style) + +p1 = (0.55003613, 0.18301213, 0.26695174) +p2 = (1, 0, 0) +divisions = 35 +x_d = np.linspace(p1[0], p2[0], divisions+1) +y_d = np.linspace(p1[1], p2[1], divisions+1) +z_d = np.linspace(p1[2], p2[2], divisions+1) +for n in xrange(divisions-2): + p = (x_d[n], y_d[n], z_d[n]) + q = (x_d[n+1], y_d[n+1], z_d[n+1]) + tax.line(p, q, marker=(3, 2, 180+63), **marker_style) + +# Text +ax.text(0.36, 0.53, r'$\mathcal{O}_{e\tau}$', fontsize=FONTSIZE, + rotation=0, verticalalignment='center') +ax.text(0.445, 0.54, r'$\Lambda_d\Longrightarrow$', fontsize=FONTSIZE+5, + rotation=80, verticalalignment='center') +ax.text(0.68, 0.09, r'$\mathcal{O}_{\mu\tau}$', fontsize=FONTSIZE, + rotation=0, verticalalignment='center') +ax.text(0.7, 0.14, r'$\Lambda_d\Longrightarrow$', fontsize=FONTSIZE+5, + rotation=-23, verticalalignment='center') +ax.text(0.34, 0.2, r'$68\%$', fontsize=FONTSIZE, rotation=5) +ax.text(0.34, 0.1, r'$90\%$', fontsize=FONTSIZE, rotation=5) + +# Save +outfile = 'fr' +for of in OUTFORMAT: + o = OUTFOLDER + outfile + '.' + of + print 'Saving as {0}'.format(o) + fig.savefig(o, bbox_inches='tight', dpi=150) + +# Scenarios +scenarios = [MixingScenario.T12, MixingScenario.T13, MixingScenario.T23] +title = [r'e\mu', r'e\tau', r'\mu\tau'] +srcs = [(0, 0, 1), (1, 0, 0), (0, 1, 0), (1, 2, 0)] +colours = {0:PURPLE+[1.], 1:'blue', 2:'green', 3:'red'} +ev_sc = np.linspace(-60, -20, 4E3) + +# Figure +fig = plt.figure(figsize=(36, 12)) +gs = gridspec.GridSpec(1, 3, width_ratios=[1, 1, 1]) +# gs.update(hspace=0.4, wspace=0.15) +for i, sc in enumerate(scenarios): + ax = fig.add_subplot(gs[i]) + ax.set_aspect('equal') + + # Boundary and Gridlines + scale = 1 + legend = False + if i == 1: legend = True + fig, tax = ternary.figure(ax=ax, scale=scale) + setupfigure(tax, legend=legend, show_001=True) + tax.set_title(r'$\mathcal{O}_{'+title[i]+r'}\:operator$', + fontsize=FONTSIZE+10, pad=35) + + # Calculate and plot + for c, s in enumerate(srcs): + frs = [] + for e in ev_sc: + u = fr_utils.params_to_BSMu(e, fix_mixing=sc, dim=6, energy=1e6) + frs.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128))) + frs = np.vstack(frs) + tax.scatter(frs, marker='o', s=2, alpha=1, color=colours[c]) + + # Contour + tax.plot(contour_68_upper, linewidth=2.3, color='grey', zorder=0, alpha=0.6) + tax.plot(contour_68_lower, linewidth=2.3, color='grey', zorder=0, alpha=0.6) + tax.plot(contour_90_upper, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6) + tax.plot(contour_90_lower, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6) + ax.text(0.34, 0.2, r'$68\%$', fontsize=FONTSIZE, rotation=5) + ax.text(0.34, 0.1, r'$90\%$', fontsize=FONTSIZE, rotation=5) + +# Save +outfile = 'fr_all' +for of in OUTFORMAT: + o = OUTFOLDER + outfile + '.' + of + print 'Saving as {0}'.format(o) + fig.savefig(o, bbox_inches='tight', dpi=150) |
