Beispiel #1
0
def plot_from_data(T_data, C_data, fname=None, ax=None, axins=None, Tmax=0.25):
    if fname is not None:
        base = fname[:-4]
        method = os.path.split(fname)[-1].split('+')[0]
        if method == 'itwl':
            label = r'$1/t$-WL' + r'-$E_{barr}$=0.' + styles.get_barrier(
                base)[0]
        if method == 'sad':
            label = r'SAD' + r'-$E_{barr}$=0.' + styles.get_barrier(base)[0]
        if method == 'z':
            label = r'ZMC' + r'-$E_{barr}$=0.' + styles.get_barrier(base)[0]
        if method == 'tem':
            label = r'TEM' + r'-$E_{barr}$=0.' + styles.get_barrier(base)[0]
    else:
        base = None
        method = None
        label = 'exact'

    _, t_peak, _ = _set_temperatures(ax=ax, axins=axins, Tmax=Tmax)

    ax.plot(T_data,
            C_data,
            label=label,
            marker=styles.marker(base),
            color=styles.color(base),
            linestyle=styles.linestyle(base),
            markevery=10)

    # inset axes....
    #axins = ax.inset_axes( 0.5 * np.array([1, 1, 0.47/0.5, 0.47/0.5]))#[0.005, 0.012, 25, 140])
    axins.plot(T_data,
               C_data,
               label=label,
               marker=styles.marker(base),
               color=styles.color(base),
               linestyle=styles.linestyle(base),
               markevery=10)
    x1, x2, y1, y2 = 0.002, 0.009, 5, 30
    # axins.set_xlim(x1, x2)
    axins.set_ylim(y1, y2)
Beispiel #2
0
def plot(S, fname=None, ax=None, axins=None, Tmax=0.25):
    timer = Timer(f'heat_capacity.plot {fname}')
    if fname is not None:
        base = fname[:-8]
        method = base[:base.find('-')]
    else:
        base = None
        method = None

    t_low, t_peak, t_high = _set_temperatures(ax=ax, axins=axins, Tmax=Tmax)

    timer_low_T = Timer('C for low T')
    c_low = np.array([C(T, S) for T in t_low])
    del timer_low_T

    timer_peak = Timer('C for peak T')
    c_peak = np.array([C(T, S) for T in t_peak])
    del timer_peak

    c_high = np.array([C(T, S) for T in t_high])

    ax.plot(np.concatenate((t_low, t_peak, t_high)),
            np.concatenate((c_low, c_peak, c_high)),
            label=styles.pretty_label(base),
            color=styles.color(base),
            linestyle=styles.linestyle(base),
            markevery=10)

    # inset axes....
    #axins = ax.inset_axes( 0.5 * np.array([1, 1, 0.47/0.5, 0.47/0.5]))#[0.005, 0.012, 25, 140])
    axins.plot(np.concatenate((t_low, t_peak, t_high)),
               np.concatenate((c_low, c_peak, c_high)),
               label=styles.pretty_label(base),
               marker=styles.marker(base),
               color=styles.color(base),
               linestyle=styles.linestyle(base),
               markevery=10)
Beispiel #3
0
               % (seed, ww, ff, N, method)
    wildfilename = "data/s%03d/periodic-ww%04.2f-ff%04.2f-N%d-%s-%%s.dat" \
                   % (seed, ww, ff, N, method)

    with open(filename, 'r') as content_file:
        content = content_file.read()
    init_iters[method].append(int(initialization_iters_regex.findall(content)[0]))

    E_data = numpy.loadtxt(wildfilename % 'E', ndmin=2)
    Emins[method].append(E_data[:, 0].max())

    sample_data = numpy.loadtxt(wildfilename % 'ps', ndmin=2)
    samples[method].append(sample_data[len(sample_data[:,1])-1, 1])

  plt.figure('iters')
  plt.semilogy(all_Ns, init_iters[method], styles.color(method)+'.-',
               label=styles.title(method))
  plt.figure('emin')
  plt.plot(all_Ns, Emins[method],styles.color(method)+'.-', label=styles.title(method))

plt.figure('iters')
plt.xlabel('$N$')
plt.ylabel('Initialization iterations')
plt.legend(loc='best').get_frame().set_alpha(0.25)
plt.tight_layout(pad=0.2)
plt.savefig("figs/periodic-ww%02.0f-ff%02.0f-scaling.pdf" % (ww*100, ff*100))

plt.figure('emin')
plt.xlabel('$N$')
plt.ylabel('Emin')
plt.legend(loc='best').get_frame().set_alpha(0.25)
Beispiel #4
0
def plot(S, fname=None, ax=None, axins=None, Tmax=0.25):
    timer = Timer(f'heat_capacity.plot {fname}')
    if fname is not None:
        base = fname[:-8]
        method = base[:base.find('-')]
    else:
        base = None
        method = None

    # print('peak should be at', T_peak)
    T_width = T_peak * 0.7  # this is just a guess
    t_low = np.linspace(T_peak / 2, T_peak - T_width, 50)
    t_peak = np.linspace(T_peak - T_width, T_peak + T_width, 150)
    axins.set_xlim(T_peak - T_width, T_peak + T_width)
    t_high = np.linspace(T_peak + T_width, Tmax, 50)
    try:
        c_low = np.loadtxt(f'{base}-cv_low_saved.txt')
    except:
        timer_low_T = Timer('C for low T')
        c_low = np.array([C(T, S) for T in t_low])
        del timer_low_T
        np.savetxt(f'{base}-cv_low_saved.txt', c_low)

    try:
        c_peak = np.loadtxt(f'{base}-cv_peak_saved.txt')
    except:
        c_peak = np.array([C(T, S) for T in t_peak])
        np.savetxt(f'{base}-cv_peak_saved.txt', c_peak)

    try:
        c_high = np.loadtxt(f'{base}-cv_high_saved.txt')
    except:
        c_high = np.array([C(T, S) for T in t_high])
        np.savetxt(f'{base}-cv_high_saved.txt', c_high)

    if method in {'wl', 'itwl', 'sad'}:
        ax.plot(np.concatenate((t_low, t_peak, t_high)),
                np.concatenate((c_low, c_peak, c_high)),
                label=styles.pretty_label(base),
                marker=styles.marker(base),
                color=styles.color(base),
                linestyle=styles.linestyle(base),
                markevery=10)
    elif method == 'z':
        ax.plot(np.concatenate((t_low, t_peak, t_high)),
                np.concatenate((c_low, c_peak, c_high)),
                label=styles.pretty_label(base),
                color=styles.color(base),
                linestyle=styles.linestyle(base),
                markevery=10)
    else:
        ax.plot(np.concatenate((t_low, t_peak, t_high)),
                np.concatenate((c_low, c_peak, c_high)),
                ':',
                label='exact',
                linewidth=2,
                color='tab:cyan')

    # inset axes....
    #axins = ax.inset_axes( 0.5 * np.array([1, 1, 0.47/0.5, 0.47/0.5]))#[0.005, 0.012, 25, 140])
    if method in {'wl', 'itwl', 'sad'}:
        precision = base[base.rfind('-') + 1:]
        axins.plot(t_peak,
                   c_peak,
                   label=styles.pretty_label(base),
                   marker=styles.marker(base),
                   color=styles.color(base),
                   linestyle=styles.linestyle(base),
                   markevery=10)
    elif method == 'z':
        axins.plot(t_peak,
                   c_peak,
                   label=styles.pretty_label(base),
                   color=styles.color(base),
                   linestyle=styles.linestyle(base),
                   markevery=10)
    else:
        axins.plot(t_peak,
                   c_peak,
                   ':',
                   label='exact',
                   linewidth=2,
                   color='tab:cyan')
Beispiel #5
0
        reference_error = mean_u_err(ww, ff, N, reference, golden_u)
        if reference_error == None:
            continue
        print '    ', reference, reference_error
        for method in methods:
            plt.figure(2)
            method_err = mean_u_err(ww, ff, N, method, golden_u)
            if method_err != None:
                print '    ', method, method_err
                plt.figure(1)
                if method not in labels_added:
                    plt.loglog(reference_error,
                               method_err,
                               styles.dots(method),
                               markerfacecolor='none',
                               markeredgecolor=styles.color(method),
                               label=styles.title(method))
                    labels_added |= set([method])
                else:
                    plt.loglog(reference_error,
                               method_err,
                               styles.dots(method),
                               markerfacecolor='none',
                               markeredgecolor=styles.color(method))
                plt.figure(2)
        plt.figure(2)
        plt.legend(loc='best')
        plt.savefig('figs/energy-for-debugging-ww%04.2f-ff%04.2f-N%i.pdf' %
                    (ww, ff, N))

min_T = 0.2  # FIXME maybe shouldn't hardcode this?
Beispiel #6
0
        with open(filename, 'r') as content_file:
            content = content_file.read()
        init_iters[method].append(
            int(initialization_iters_regex.findall(content)[0]))

        E_data = numpy.loadtxt(wildfilename % 'E', ndmin=2)
        Emins[method].append(E_data[:, 0].max())

        sample_data = numpy.loadtxt(wildfilename % 'ps', ndmin=2)
        samples[method].append(sample_data[len(sample_data[:, 1]) - 1, 1])

    plt.figure('iters')
    plt.semilogy(all_Ns,
                 init_iters[method],
                 styles.color(method) + '.-',
                 label=styles.title(method))
    plt.figure('emin')
    plt.plot(all_Ns,
             Emins[method],
             styles.color(method) + '.-',
             label=styles.title(method))

plt.figure('iters')
plt.xlabel('$N$')
plt.ylabel('Initialization iterations')
plt.legend(loc='best').get_frame().set_alpha(0.25)
plt.tight_layout(pad=0.2)
plt.savefig("figs/periodic-ww%02.0f-ff%02.0f-scaling.pdf" %
            (ww * 100, ff * 100))
Beispiel #7
0
for fname in paths:
    print()
    start_fname = time.process_time()
    base = fname[:-8]
    method = base[:base.find('-')]

    energy_boundaries, mean_e, my_lnw, my_system, p_exc = compute.read_file(base)
    
    # Create a function for the entropy
    l_function, eee, sss = compute.linear_entropy(energy_boundaries, mean_e, my_lnw)
    plt.figure('latest-entropy')
    #plt.plot(E, normalize_S(l_function(E)), label=base)
    if method in {'wl','itwl','sad'}:
        plt.plot(E, normalize_S(l_function(E)), label=base, marker = styles.marker(base),
                 color = styles.color(base), linestyle= styles.linestyle(base), markevery=100)
    elif method == 'z':
        plt.plot(E, normalize_S(l_function(E)), label=base, color = styles.color(base), linestyle= styles.linestyle(base))

    plt.figure('latest heat capacity')
    heat_capacity.plot(l_function, fname=fname,ax=ax, axins=axins)
    # correct_Cv = [heat_capacity.C(t,l_function) for t in T]
    # if method in {'wl','itwl','sad'}:
    #     plt.plot(T, correct_Cv, label=base, marker = markers[precision], color = colors[method], linestyle= linestyles[method], markevery=5)
    # elif method == 'z':
    #     plt.plot(T, correct_Cv, label=base, color = colors[method], linestyle= linestyles[method])

    start_well_histogram = time.process_time()
    plt.figure('fraction-well')
    mean_which = np.loadtxt(f'{base}-which.dat')
    plt.plot(mean_e, mean_which, label=base)
         base)[0]
 if method == 'tem':
     label = r'TEM' + r'-$E_{barr}$=0.' + styles.get_barrier(
         base)[0]
 fname = tail + 'seed-' + str(seed) + front
 data = np.load(fname)
 for k in data.keys():
     print(k)
 E = data['E']
 error_dist = data['error_dist_S']
 plt.figure('Entropy error distribution')
 plt.plot(E,
          error_dist,
          label=label,
          marker=styles.marker(base),
          color=styles.color(base),
          linestyle=styles.linestyle(base),
          markevery=75)
 plt.figure('Canonical error incorrect peak')
 plt.plot(data['E_dist'],
          data['can_error_low_T'],
          label=label,
          marker=styles.marker(base),
          color=styles.color(base),
          linestyle=styles.linestyle(base),
          markevery=75)
 plt.figure('Canonical error phase transition')
 plt.plot(data['E_dist'],
          data['can_error_high_t'],
          label=label,
          marker=styles.marker(base),
    def _plot_from_data(self, ax, axins, fname, data=None, data_bounds=None, subplot = None, dump_into_thesis = None):
        if data is None:
            data = self._query_fname(fname)
        if data_bounds is not None:
            lower_data, upper_data = data_bounds
        base = fname[:-4]
        method = os.path.split(fname)[-1].split('+')[0]
        print(method)
        if method == 'itwl':
            label = r'$1/t$-WL' + r'-$E_{barr}$=0.'+styles.get_barrier(base)[0]
        if method == 'sad':
            label = r'SAD' + r'-$E_{barr}$=0.'+styles.get_barrier(base)[0]
        if method == 'z':
            label = r'ZMC' + r'-$E_{barr}$=0.'+styles.get_barrier(base)[0]
        if method == 'tem':
            label = r'TEM' + r'-$E_{barr}$=0.'+styles.get_barrier(base)[0]
        

        if method in {'wl','itwl','sad', 'z'}:
            plt.figure('fraction-well')
            plt.plot(data['mean_e'], data['mean_which'], label=label)
        
            if len(data['hist']) != 0:
                plt.figure('histogram')
                plt.plot(data['mean_e'], data['hist'], label=label)

            plt.figure('latest-entropy')
            plt.plot(data['E'][:len(data['S'])], data['S'], 
                                                    label=label, 
                                                    marker = styles.marker(base),
                                                    color = styles.color(base), 
                                                    linestyle= styles.linestyle(base), 
                                                    markevery=25)
            plt.figure('convergence')
            plt.loglog(data['moves'], data['errors_S'], 
                                                label=label, 
                                                marker = styles.marker(base), 
                                                color = styles.color(base), 
                                                linestyle= styles.linestyle(base), 
                                                markevery=4)
        elif method == 'z':
            plt.plot(data['E'], data['S'], 
                                    label=label, 
                                    color = styles.color(base), 
                                    linestyle= styles.linestyle(base))

            if data_bounds is not None:
                plt.fill_between(lower_data['moves'], lower_data['errors_S'], upper_data['errors_S'],
                                                    color = styles.color(base),
                                                    linestyle=styles.linestyle(base),
                                                    linewidth = 2,
                                                    alpha = 0.2)
        
        heat_capacity.plot_from_data(data['T'][:len(data['C'])], data['C'],
                                                                    fname=fname,
                                                                    ax=ax, 
                                                                    axins=axins)

        plt.figure('convergence-heat-capacity')
        plt.loglog(data['moves'], data['errors_C'], 
                                            label=label, 
                                            marker = styles.marker(base), 
                                            color = styles.color(base), 
                                            linestyle= styles.linestyle(base), 
                                            markevery=4)
        if data_bounds is not None:
            plt.fill_between(lower_data['moves'], lower_data['errors_C'], upper_data['errors_C'],
                                                color = styles.color(base),
                                                alpha = 0.2)
        
        if False:#subplot is not None:
            axs = subplot[0]
            axins_subplot = subplot[1]
            if method in {'wl','itwl','sad'}:
                axs['(c)'].plot(data['E'][:len(data['S'])], data['S'], 
                                                        label=label, 
                                                        marker = styles.marker(base),
                                                        color = styles.color(base), 
                                                        linestyle= styles.linestyle(base), 
                                                        markevery=250)
            elif method == 'z':
                axs['(c)'].plot(data['E'], data['S'], 
                                        label=label, 
                                        color = styles.color(base), 
                                        linestyle= styles.linestyle(base))
            
            heat_capacity.plot_from_data(data['T'][:len(data['C'])], data['C'],
                                                                        fname=fname,
                                                                        ax=axs['(d)'], 
                                                                        axins=axins_subplot)

            plt.figure('convergence')
            if method in {'wl','itwl','sad'}:
                axs['(a)'].loglog(data['moves'], data['errors_S'], 
                                                    label=label, 
                                                    marker = styles.marker(base), 
                                                    color = styles.color(base), 
                                                    linestyle= styles.linestyle(base), 
                                                    markevery=2)
            elif method == 'z':
                axs['(a)'].loglog(data['moves'], data['errors_S'], 
                                                    label=label, 
                                                    color = styles.color(base), 
                                                    linestyle= styles.linestyle(base), 
                                                    linewidth = 3)
            if data_bounds is not None:
                axs['(a)'].fill_between(lower_data['moves'], lower_data['errors_S'], upper_data['errors_S'],
                                                    color = styles.color(base),
                                                    linestyle=styles.linestyle(base),
                                                    linewidth = 2,
                                                    alpha = 0.2)


            plt.figure('convergence-heat-capacity')
            if method in {'wl','itwl','sad'}:
                axs['(b)'].loglog(data['moves'], data['errors_C'], 
                                                    label=label, 
                                                    marker = styles.marker(base), 
                                                    color = styles.color(base), 
                                                    linestyle= styles.linestyle(base), 
                                                    markevery=2)
            elif method == 'z':
                axs['(b)'].loglog(data['moves'], data['errors_C'], 
                                                    label=label, 
                                                    color = styles.color(base), 
                                                    linestyle= styles.linestyle(base), 
                                                    linewidth = 3)
            if data_bounds is not None:
                axs['(b)'].fill_between(lower_data['moves'], lower_data['errors_C'], upper_data['errors_C'],
                                                    color = styles.color(base),
                                                    alpha = 0.2)
Beispiel #10
0
        plt.ylabel(r'$\Delta U$')

        golden_u = t_u_cv_s[1]
        reference_error = mean_u_err(ww, ff, N, reference, golden_u)
        if reference_error == None:
            continue
        print('    ', reference, reference_error)
        for method in methods:
            plt.figure(2)
            method_err = mean_u_err(ww, ff, N, method, golden_u)
            if method_err != None:
                print('    ', method, method_err)
                plt.figure(1)
                if method not in labels_added:
                    plt.loglog(reference_error, method_err, styles.dots(method),
                               markerfacecolor='none', markeredgecolor=styles.color(method),
                               label=styles.title(method))
                    labels_added |= {method}
                else:
                    plt.loglog(reference_error, method_err, styles.dots(method),
                               markerfacecolor='none', markeredgecolor=styles.color(method))
                plt.figure(2)
        plt.figure(2)
        plt.legend(loc='best')
        plt.savefig(
            'figs/energy-for-debugging-ww%04.2f-ff%04.2f-N%i.pdf' % (ww, ff, N))

min_T = 0.2 # FIXME maybe shouldn't hardcode this?

plt.figure(1)
xmin, xmax = plt.xlim()
Beispiel #11
0
        plt.ylabel(r'$\Delta U$')

        golden_u = t_u_cv_s[1]
        reference_error = mean_u_err(ww, ff, N, reference, golden_u)
        if reference_error == None:
            continue
        print '    ', reference, reference_error
        for method in methods:
            plt.figure(2)
            method_err = mean_u_err(ww, ff, N, method, golden_u)
            if method_err != None:
                print '    ', method, method_err
                plt.figure(1)
                if method not in labels_added:
                    plt.loglog(reference_error, method_err, styles.dots(method),
                               markerfacecolor='none', markeredgecolor=styles.color(method),
                               label=styles.title(method))
                    labels_added |= set([method])
                else:
                    plt.loglog(reference_error, method_err, styles.dots(method),
                               markerfacecolor='none', markeredgecolor=styles.color(method))
                plt.figure(2)
        plt.figure(2)
        plt.legend(loc='best')
        plt.savefig(
            'figs/energy-for-debugging-ww%04.2f-ff%04.2f-N%i.pdf' % (ww, ff, N))

min_T = 0.2 # FIXME maybe shouldn't hardcode this?

plt.figure(1)
xmin,xmax = plt.xlim()
Beispiel #12
0
    log10_dos -= log10_dos.max()

    return energy, e_hist, log10w, log10_dos


for method in methods:

    wildfilename = "../data/s%03d/periodic-ww%04.2f-ff%04.2f-N%i-%s-%%s.dat" \
                   % (seed, ww, ff, N, method)

    energy, e_hist, log10w, log10_dos = get_arrays(wildfilename)

    if method != 'wang_landau':
        plt.figure('dos-poster')
        plt.plot(energy, log10_dos, styles.dots(method),
                 markerfacecolor='none', markeredgecolor=styles.color(method),
                 label=styles.title(method))

    for ax in [ ax_dos, ax_dos_all ]:
        ax.plot(energy[log10_dos > -cap], log10_dos[log10_dos > -cap],
                styles.dots(method), markerfacecolor='none',
                markeredgecolor=styles.color(method), label=styles.title(method))

    for ax in [ ax_hist, ax_hist_all ]:
        ax.semilogy(energy, e_hist[:,1], styles.dots(method),
                    markerfacecolor='none', markeredgecolor=styles.color(method),
                    label=styles.title(method))

    for ax in [ ax_lnw, ax_lnw_all ]:
        ax.plot(energy[log10w < cap], log10w[log10w < cap], styles.dots(method),
                markerfacecolor='none', markeredgecolor=styles.color(method),
Beispiel #13
0
methods.remove(reference)

plt.figure("u", figsize=fig_size)
plt.figure("cv", figsize=fig_size)
plt.figure("s", figsize=fig_size)

for n in range(len(Ns)):
    for method in methods:
        plt.figure("u")
        plt.loglog(
            u_errors[reference][n],
            u_errors[method][n],
            styles.dots(method),
            markerfacecolor="none",
            markeredgecolor=styles.color(method),
            label=styles.title(method),
        )
        plt.figure("cv")
        plt.loglog(
            cv_errors[reference][n],
            cv_errors[method][n],
            styles.dots(method),
            markerfacecolor="none",
            markeredgecolor=styles.color(method),
            label=styles.title(method),
        )
        plt.figure("s")
        plt.loglog(
            s_errors[reference][n],
            s_errors[method][n],