diff --git a/Bootstrapping.py b/Bootstrapping.py new file mode 100644 index 0000000000000000000000000000000000000000..74362f63f52e4cfad202d0637bfa504f7c2dd2ff --- /dev/null +++ b/Bootstrapping.py @@ -0,0 +1,154 @@ +from HelperFunctions import FakeFuncCode, SelectRangeNumba, EmpiricalPPF +from KDEpy import FFTKDE +import numpy as np +from scipy.interpolate import interp1d +from iminuit import Minuit +from astropy.stats import bootstrap, scott_bin_width +import scipy.special as sc +import logging + + +class BandWidthOptimiser: + + #Hobbema, Hermans, and Van den Broeck (1971) and by Duin (1976) + #leave-one-out cross-validation approach + #https://cran.r-project.org/web/packages/kedd/vignettes/kedd.pdf + def _Dummy(self, _, bw): + return bw + + + def _KDE(self, bw): + + x_kde, y_kde = FFTKDE(kernel = self.kernel, bw=bw).fit(self.data).evaluate(self.n_kde_samples) + loss = -np.mean(np.log(y_kde)) + return loss + + + + def __init__(self, data, kernel="gaussian", alpha = 0.95, n_kde_samples=2**13): + if(alpha<=0.5): + raise ValueError("alpha must be above 0.5") + + self.data = data + PPF = EmpiricalPPF(self.data) + x_low, x_hi = PPF(0.5-alpha/2), PPF(0.5+alpha/2) + self.data = SelectRangeNumba(self.data, x_low, x_hi) + self.N = len(data) + self.kernel=kernel + self.n_kde_samples=n_kde_samples + self.last_arg = None + self.func_code = FakeFuncCode(self._Dummy, dock=True) + self.eps = np.finfo(np.float64).eps * 10 + self.eps_inv = 1/self.eps + + + def __call__(self, *arg): + self.last_arg = arg + loss = self._KDE(*arg) + return loss + + +def Bootstrap(data, statistic, n_bootstrap, alpha=0.95, ): + if not (0 < alpha < 1): + raise ValueError("confidence level must be in (0, 1)") + + + if len(data) < 1: + raise ValueError("data must contain at least one measurement.") + + + boot_stat = bootstrap(data, n_bootstrap, bootfunc=statistic) + + stat_data = statistic(data) + mean_stat = np.mean(boot_stat) + est_stat = 2*stat_data - mean_stat + std_err = np.std(boot_stat) + z_score = np.sqrt(2.0)*sc.erfinv(alpha) + conf_interval = est_stat + z_score*np.array((-std_err, std_err)) + + + return est_stat, std_err, conf_interval + + + + +def BootstrapKDE(data, + n_bootstrap, + n_call=1000, + n_iterations=10, + kernel = "gaussian", + n_kde_samples=2**14, + alpha=0.95, + bw_limits=(1e-6, None), + limits=None, + + ): + + if not (0 < alpha < 1): + raise ValueError("Bootstrap confidence level, alpha, must be in (0, 1).") + + if len(data) <= 3: + raise ValueError("Bootstrap data must contain at least three measurements.") + + try: + logging.debug("Optimising bandwidth...") + BWO= BandWidthOptimiser(data, kernel=kernel) + bw_scott = scott_bin_width(data) + minuit_kde = Minuit(BWO, bw=bw_scott/2) + minuit_kde.limits["bw"]=bw_limits + minuit_kde.strategy=2 + minuit_kde.migrad(ncall=n_call, + iterate=n_iterations) + + bw = minuit_kde.values["bw"] + logging.debug("Bandwidth optimised to {:3.3E} units.".format(bw)) + except: + logging.warning("Bandwidth optimisation failed. Defaulting to Improved Sheather Jones...") + bw = "ISJ" + + + kde = FFTKDE(kernel = kernel, bw=bw).fit(data) + + x_kde, y_kde_orig = kde.evaluate(n_kde_samples) + + + boot_data = bootstrap(data, n_bootstrap) + y_kde_bs = np.vstack([FFTKDE(kernel = kernel, bw=bw).fit(_data).evaluate(x_kde) + for _data in boot_data]) + + + y_kde_mean = np.mean(y_kde_bs, axis=0) + y_kde = 2*y_kde_orig - y_kde_mean + y_kde_err = np.std(y_kde_bs, axis=0) + z_score = np.sqrt(2.0)*sc.erfinv(alpha) + y_kde_conf_interval = y_kde + z_score*np.array((-y_kde_err, y_kde_err)) + + if(limits is not None): + cond_inrange =(x_kde>np.min(limits)) & (x_kde<np.max(limits)) + x_kde = x_kde[cond_inrange] + y_kde = y_kde[cond_inrange] + y_kde_err = y_kde_err[cond_inrange] + + return x_kde, y_kde, y_kde_err, y_kde_conf_interval + + +def Bootstrap(data, statistic, n_bootstrap, alpha=0.95): + if not (0 < alpha < 1): + raise ValueError("confidence level must be in (0, 1)") + + + if len(data) < 1: + raise ValueError("data must contain at least one measurement.") + + + boot_stat = bootstrap(data, n_bootstrap, bootfunc=statistic) + + stat_data = statistic(data) + mean_stat = np.mean(boot_stat) + est_stat = 2*stat_data - mean_stat + std_err = np.std(boot_stat) + z_score = np.sqrt(2.0)*sc.erfinv(alpha) + conf_interval = est_stat + z_score*np.array((-std_err, std_err)) + + + return est_stat, std_err, conf_interval \ No newline at end of file diff --git a/Example.py b/Example.py new file mode 100644 index 0000000000000000000000000000000000000000..3da5c9f9770157991e72ad278d6f3fe2c1670854 --- /dev/null +++ b/Example.py @@ -0,0 +1,96 @@ +import os +import sys +import numpy as np +import pandas as pd +from PeakOTron import PeakOTron +from joblib import dump + + +print("--------------------") +print('EXAMPLE SIPM CALIBRATION RUN') +print("--------------------") + +f_data = PeakOTron(verbose=False) +f_data.SetMaxNPeaks(15) #SET MAX N PEAKS - THRESHOLDING REQUIRED WHERE LAMBDA INCORRECTLY ESTIMATED, OR FIT WILL GO ON FOREVER. +f_data.SetMaxNDCRPeaks(6) + +out_dict = {} +files_to_fit = [] +for root, dirs, files in os.walk("./data/hamamatsu_pcb6/Light"): + + for file in files: + + if file.endswith(".txt"): + files_to_fit.append([file, os.path.join(root, file)]) + + +print("Files to fit:") +for i, (file, _) in enumerate(files_to_fit): + print('File {0}: {1}'.format(i, file)) + + + +SiPM = "PM1125NS_SBO" + +for i, (file, path) in enumerate(files_to_fit): + items = file.split('_') + + V = float(items[2].replace('V', '').replace('p', '.')) + + + while (True): + + + + + print("\n Fit {0}: {1} \n".format(i, file)) + + data = np.loadtxt(path, skiprows=8) + + f_data.Fit(data, + tau=21.953, #SLOW PULSE COMPONENT TIME CONSTANT (ns) + tau_err=5.648, + t_gate=104, #GATE LENGTH (ns) + t_0 = 64, #INTEGRATION TIME BEFORE GATE (ns) + + ) #BINNING RULE "knuth", "freedman", "scott" - use bw= #### to override. it is still required for DCR calculation. + + + f_data.PlotFit(xlabel="Charge [Vs]", save_directory="./Results/{0}_fit.png".format(os.path.splitext(file)[0])) + + chi2, ndf = f_data.GetChi2() + if(V-51.1>3): + if(chi2/ndf<4): + break + else: + if(chi2/ndf<10): + break + + dump(f_data, "./Results/{0}".format(os.path.splitext(file)[0])) + + + + fit_out = {} + fit_val, fit_err = f_data.GetFitResults() + for key, val in fit_val.items(): + print("{:s} : {:3.3E}".format(key, val)) + + fit_out["SiPM"] = SiPM + fit_out["V"] = V + + for key, value in fit_err.items(): + fit_out["d_{:s}".format(key)] = value + + fit_out.update(fit_val) + out_dict.update() + if out_dict == {}: + for key in fit_out.keys(): + out_dict[key] = [] + + for key in fit_out.keys(): + out_dict[key].append(fit_out[key]) + + + +df = pd.DataFrame.from_dict(out_dict) +df.to_csv("./fit_results_{:s}.csv".format(SiPM)) diff --git a/HelperFunctions.py b/HelperFunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..2a631f7605fd1e1a85aa592fa0d2dfd154130a42 --- /dev/null +++ b/HelperFunctions.py @@ -0,0 +1,154 @@ +from itertools import chain +from iminuit import Minuit +from numba import njit +from iminuit.util import describe +from scipy.interpolate import interp1d +import numpy as np +from scipy.stats import skew as sc_skew +import matplotlib.pyplot as plt + + +#HELPER FUNCTIONS + + +class FakeFuncCode: + def __init__(self, f, prmt=None, dock=0, append=None): + #f can either be tuple or function object + self.co_varnames = describe(f) + self.co_argcount = len(self.co_varnames) + self.co_argcount -= dock + self.co_varnames = self.co_varnames[dock:] + + if prmt is not None: #rename parameters from the front + for i, p in enumerate(prmt): + self.co_varnames[i] = p + + if isinstance(append, str): append = [append] + + if append is not None: + old_count = self.co_argcount + self.co_argcount += len(append) + self.co_varnames = tuple( + list(self.co_varnames[:old_count]) + + append + + list(self.co_varnames[old_count:])) + + + + +def LatexFormat(value, scirange=[0.01,1000]): + if(np.abs(value)>scirange[0] and np.abs(value)<scirange[1]): + float_str = r"${:3.3f}$".format(value) + else: + try: + float_str = "{:3.3E}".format(value) + base, exponent = float_str.split("E") + float_str = r"${0} \times 10^{{{1}}}$".format(base, int(exponent)) + except: + float_str=str(value) + return float_str + + +@njit +def SelectRangeNumba(array, low_lim, hi_lim): + index = (array >= low_lim) & (array <= hi_lim) + return array[index] + + +def EmpiricalPPF(data): + x = np.sort(data) + n = x.size + y = np.arange(1, n+1) / n + ppf = interp1d(y, x, fill_value="extrapolate") + return ppf + + +def EmpiricalCDF(data): + x = np.sort(data) + n = x.size + y = np.arange(1, n+1) / n + ppf = interp1d(x, y, fill_value="extrapolate") + return ppf + + +def Logify(y): + log_y = np.log(y) + min_log_y = np.min(log_y[y>0]) + + return np.where(y>0, log_y, min_log_y) + + +def Linear(x, m, c): + return m*x + c + +def GetStats(data): + return np.mean(data), np.std(data), sc_skew(data) + + + +def GP_lbda(mu, sigma, gamma): + lbda = 0.5*(((mu*gamma)/(sigma))- 1) + return lbda + +def GP_gain(mu, sigma, gamma): + lbda = GP_lbda(mu, sigma, gamma) + gain = (sigma**2/mu)*((1 - lbda)**2) + return gain + +def GP_muGP(mu, sigma, gamma): + lbda = GP_lbda(mu, sigma, gamma) + mu_gp = (1/(1-lbda))*(mu**2/sigma**2) + return mu_gp + + + +def FormatExponent(ax, axis='y'): + + # Change the ticklabel format to scientific format + ax.ticklabel_format(axis=axis, style='sci', scilimits=(-2, 2)) + + # Get the appropriate axis + if axis == 'y': + ax_axis = ax.yaxis + x_pos = 0.0 + y_pos = 1.0 + horizontalalignment='left' + verticalalignment='bottom' + else: + ax_axis = ax.xaxis + x_pos = 1.0 + y_pos = -0.05 + horizontalalignment='right' + verticalalignment='top' + + # Run plt.tight_layout() because otherwise the offset text doesn't update + plt.tight_layout() + ##### THIS IS A BUG + ##### Well, at least it's sub-optimal because you might not + ##### want to use tight_layout(). If anyone has a better way of + ##### ensuring the offset text is updated appropriately + ##### please comment! + + # Get the offset value + offset = ax_axis.get_offset_text().get_text() + + if len(offset) > 0: + # Get that exponent value and change it into latex format + minus_sign = u'\u2212' + expo = np.float(offset.replace(minus_sign, '-').split('e')[-1]) + offset_text = r'x$\mathregular{10^{%d}}$' %expo + + # Turn off the offset text that's calculated automatically + ax_axis.offsetText.set_visible(False) + + # Add in a text box at the top of the y axis + ax.text(x_pos, y_pos, offset_text, transform=ax.transAxes, + horizontalalignment=horizontalalignment, + verticalalignment=verticalalignment) + return ax + + + + + + diff --git a/LossFunctions.py b/LossFunctions.py new file mode 100644 index 0000000000000000000000000000000000000000..eb9c4ef6d00c9188a4f41da8d8aa19b35a0122d3 --- /dev/null +++ b/LossFunctions.py @@ -0,0 +1,145 @@ +import numpy as np +from scipy.interpolate import interp1d +from iminuit.util import describe +from HelperFunctions import FakeFuncCode +import matplotlib.pyplot as plt + + +class UnbinnedLH: + + + def __init__(self, f, data, bw): + self.f = f + self.x_min = np.min(data) + self.x_max = np.max(data) + self.n_bins = np.ceil((np.max(data) - np.min(data))/bw).astype(int) + self.x = np.linspace(self.x_min, self.x_max, 10*self.n_bins) + self.data = data + self.last_arg = None + self.func_code = FakeFuncCode(f, dock=True) + self.ndof = len(self.data) - (self.func_code.co_argcount - 1) + self.eps = np.finfo(np.float64).eps * 10 + self.eps_inv = 1/self.eps + self.log_eps = np.log(self.eps) + self.n_calls = 0 + + + def Logify(self, y): + + return np.where(y>self.eps, np.log(y), self.log_eps) + + + + def __call__(self, *arg): + self.last_arg = arg + y_hat = self.f(self.x, *arg) + y_hat = np.nan_to_num(y_hat, nan=self.eps) + + log_y_hat = interp1d(self.x, + self.Logify(y_hat), + fill_value=(self.log_eps,self.log_eps), + bounds_error=False)(self.data) + + + + nlogL = -np.sum(log_y_hat) + + self.n_calls+=1 + +# if(self.n_calls%200==0): +# print(arg) +# plt.figure() +# plt.hist(self.data, bins=200, density=True) +# plt.plot(self.x, y_hat) +# plt.yscale("log") +# plt.show() + + return nlogL + + + +class BinnedLH: + + + def __init__(self, f, x, y): + self.f = f + self.x = x + self.y = y + self.last_arg = None + self.func_code = FakeFuncCode(f, dock=True) + self.ndof = len(self.y) - (self.func_code.co_argcount - 1) + self.eps = np.finfo(np.float64).eps * 10 + self.eps_inv = 1/self.eps + self.log_eps = np.log(self.eps) + + + def Logify(self, y): + + return np.where(y>self.eps, np.log(y), self.log_eps) + + + + def __call__(self, *arg): + self.last_arg = arg + y_hat = self.f(self.x, *arg) + # y_hat = np.nan_to_num(y_hat, nan=self.eps_inv) + logL = self.y*(self.Logify(y_hat) - self.Logify(self.y)) + (self.y - y_hat) + nlogL = -np.sum(logL) + + return nlogL + + + + +class Chi2Regression: + + + def __init__(self, f, x, y, y_err, epsilon=1.35): + self.f = f + self.x = x + self.y = y + self.y_err = y_err + self.eps = np.finfo(np.float64).eps * 10 + self.y_err[self.y_err<self.eps] = self.eps + self.last_arg = None + self.func_code = FakeFuncCode(f, dock=True) + self.ndof = len(self.y) - (self.func_code.co_argcount - 1) + + + def __call__(self, *arg): + + self.last_arg = arg + + loss = ((self.f(self.x, *arg) - self.y)/(self.y_err))**2 + + return np.sum(loss) + + + + +class HuberRegression: + + + def __init__(self, f, x, y, y_err, delta=1.345): + self.f = f + self.x = x + self.y = y + self.y_err = y_err + self.delta = delta + self.eps = np.finfo(np.float64).eps * 10 + self.y_err[self.y_err<self.eps] = self.eps + self.last_arg = None + self.func_code = FakeFuncCode(f, dock=True) + self.ndof = len(self.y) - (self.func_code.co_argcount - 1) + + + def __call__(self, *arg): + + self.last_arg = arg + + a = abs((self.y - self.f(self.x, *arg))/self.y_err) + cond_flag = (a>self.delta) + + loss = np.sum((~cond_flag) * (0.5 * a ** 2) - (cond_flag) * self.delta * (0.5 * self.delta - a), -1) + + return np.sum(loss) \ No newline at end of file diff --git a/Model_AP1.py b/Model_AP1.py new file mode 100644 index 0000000000000000000000000000000000000000..1e858ccca686419f5ec0428fd2a5100d4dff9810 --- /dev/null +++ b/Model_AP1.py @@ -0,0 +1,263 @@ +import numpy as np +from scipy.signal import fftconvolve as convolve +from scipy.stats import norm, binom, poisson,expon +from scipy.interpolate import interp1d +from AdditionalPDFs import borel, gpoisson +import matplotlib.pyplot as plt + + +def SigmaK(k, sigma_0, sigma_1): + return np.sqrt(sigma_0**2 + k*sigma_1**2) + + + +def dPApdPH(x, x_0, G, mu, lbda, tauAp, pAp, tau, t_gate, k_low, k_hi): + + x_lin = np.arange(0, len(x)) + x_pad_lin = np.arange(-100, len(x)+100) + f_lin = interp1d(x, x_lin, fill_value='extrapolate') + f_lin_inv = interp1d(x_lin, x, fill_value='extrapolate') + dx = abs(f_lin_inv(1) - f_lin_inv(0)) + G_lin = f_lin(x_0+G) - f_lin(x_0) + x_0_lin = f_lin(x_0) + y_ap = np.zeros_like(x_pad_lin).astype(float) + + idx_orig = np.where(np.in1d(x_pad_lin, + np.intersect1d( + x_pad_lin, + x_lin + ) + ), True, False) + + idx_x_0_lin = np.argmin(abs(x_pad_lin - x_0_lin)) + + + exp_tgate_2tau = np.exp(t_gate/(2*tau)) + exp_mtgate_2tau = np.exp(-t_gate/(2*tau)) + PH_norm = (x_pad_lin - x_0_lin)/G_lin + PH_max = (1 - exp_mtgate_2tau)**2 + norm_factor = PH_max/G_lin + + + for _n_pg in range(1, int(k_hi)+1): + _p_pg = gpoisson.pmf(_n_pg, mu, lbda) + for _n_ap in range(1, min(5,_n_pg+1)): + + PH = (PH_norm - _n_pg)/_n_ap + cond_PH_max = (PH>0.95*PH_max) + + + PH[cond_PH_max] = 0.95*PH_max + + + t_b0 = 0.5*t_gate - tau*np.arccosh(0.5*((1 - PH)*exp_tgate_2tau + exp_mtgate_2tau)) + + cond_gate = (t_b0<0) | (t_b0>t_gate/2) + + dpApdt_b0 = _p_pg*binom.pmf(_n_ap, _n_pg, pAp*(1-np.exp(-t_b0/tau)))*expon.pdf(t_b0, loc=0, scale=tauAp) + dpApdt_b0[cond_gate] = 0 + + dPHdt_b0 = abs(-2*np.sinh((t_b0-0.5*t_gate)/tau)*exp_mtgate_2tau/tau) + + cond_dPHdt = (dPHdt_b0<1e-3) + dPHdt_b0[cond_dPHdt] = 1e-3 + + dpApdPH_b0 = dpApdt_b0/dPHdt_b0 + + dpApdPH_b0[cond_PH_max] = 0 + dpApdPH_b0[cond_gate] = 0 + + + + y_ap+=dpApdPH_b0*(norm_factor/_n_ap) + + y_ap = y_ap[idx_orig]/dx + + return y_ap + + + + + + +def DRM_basic(x, x_0, G, mu, lbda, sigma_0, sigma_1, DCR, tau, t_gate, t_0, tauAp, pAp, k_low, k_hi): + + + n_pg = np.arange(1, k_hi) + + f0 = gpoisson.pmf(0, mu, lbda)*norm.pdf(x, x_0, sigma_0) + f1s = np.asarray([ + gpoisson.pmf(_k, mu, lbda)*norm.pdf(x, x_0 + _k*G, SigmaK(_k, sigma_0, sigma_1)) + for _k in n_pg + ]) + + + f_light = np.sum(np.vstack([f0, f1s]), axis=0) + f_ap = dPApdPH(x, x_0, G, mu, lbda, tauAp, pAp, tau, t_gate, k_low, k_hi) + + + return f_light + f_ap + + + + +def DC_PH_range(t, t_0, r_fast, tau, t_gate): + + if((t>t_0) and (t<0)): + PH_min = (1-r_fast)*np.exp(t_0/tau)*(1 - np.exp(-t_gate/tau)) + PH_max = (1-r_fast)*(1 - np.exp(-t_gate/tau)) + elif((t>0) and (t<t_gate)): + PH_min = r_fast + PH_max = (1 - (1-r_fast)*np.exp(-t_gate/tau)) + else: + PH_min = 0 + PH_max = 0 + + return PH_min, PH_max + + +def dpDCRdPH(x, x_0, G, tau, t_gate, t_0): + + PH_bfg_low, PH_bfg_hi = DC_PH_range(-abs(t_0)/2, -abs(t_0), 0, tau, t_gate) + PH_dg_low, PH_dg_hi = DC_PH_range(t_gate/2, -abs(t_0), 0, tau, t_gate) + + x_norm = (x-x_0)/(G) + + PHs = np.zeros_like(x_norm) + + cond_bfg = (x_norm>PH_bfg_low) & (x_norm<=PH_bfg_hi) + cond_dg = (x_norm>PH_dg_low) & (x_norm<=PH_dg_hi) + + PHs[cond_bfg] += 1/x_norm[cond_bfg] + PHs[cond_dg] += 1/(1 - x_norm[cond_dg]) + + + return PHs + + + + +def ApplyDCR(x, y_light, x_0, G, DCR, t_gate, t_0, tau, lbda, k_dcr_low, k_dcr_hi): + + mu_dcr = DCR*(abs(t_0) + t_gate) + + x_lin = np.arange(0, len(x)) + x_pad_lin = np.arange(-100, len(x)+100) + f_lin = interp1d(x, x_lin, fill_value='extrapolate') + f_lin_inv = interp1d(x_lin, x, fill_value='extrapolate') + dx = abs(f_lin_inv(1) - f_lin_inv(0)) + G_lin = f_lin(x_0+G) - f_lin(x_0) + x_0_lin = f_lin(x_0) + + idx_orig = np.where(np.in1d(x_pad_lin, + np.intersect1d( + x_pad_lin, + x_lin + ) + ), True, False) + + idx_x_0_lin = np.argmin(abs(x_pad_lin - x_0_lin)) + + + fs = [] + pfs = [] + hs = [] + phs = [] + + + + for _n_dcr in range(0, max(2, int(k_dcr_hi))): + + if(_n_dcr==0): + + f = np.zeros(len(x_pad_lin)) + + f[idx_x_0_lin] = 1 + + pf = poisson.pmf(0, mu_dcr) + + h = np.zeros(len(x_pad_lin)) + + ph = 0 + + + else: + if(_n_dcr==1): + f = dpDCRdPH(x_pad_lin, x_0_lin, G_lin, tau, t_gate, t_0) + else: + f = convolve(fs[1], fs[-1])[idx_x_0_lin:len(x_pad_lin)+idx_x_0_lin] + + f = f/ np.trapz(f, dx = 1) + + pf = poisson.pmf(_n_dcr, mu_dcr)*(borel.pmf(0, lbda)**_n_dcr) + + + + if(_n_dcr==1): + h = np.zeros(len(x_pad_lin)) + ph=0 + else: + h = dpDCRdPH(x_pad_lin, x_0_lin, G_lin*((_n_dcr-1)+1), tau, t_gate, t_0) + h = h/ np.trapz(h, dx = 1) + ph = poisson.pmf(1, mu_dcr)*borel.pmf((_n_dcr-1), lbda)/((_n_dcr-1)+1) + + fs.append(f) + pfs.append(pf) + hs.append(h) + phs.append(ph) + + + + + + fs = np.asarray(fs) + hs = np.asarray(hs) + pfs = np.expand_dims(np.asarray(pfs), -1) + phs = np.expand_dims(np.asarray(phs), -1) + y_dark = np.sum(fs*pfs, axis=0) + np.sum(hs*phs, axis=0) + #y_dark = y_dark/np.trapz(h, dx = 1) + y_dark = y_dark/np.trapz(y_dark, dx = 1) + + + y_model = convolve(y_dark, + np.pad(y_light, + (100, 100), + "constant", + constant_values=(0.0,0.0)), + )[idx_x_0_lin:len(x_pad_lin)+idx_x_0_lin] + + y_model = y_model/np.trapz(y_model, dx = 1)/dx + + y_model = y_model[idx_orig] + + return y_model + + +def DRM( + x, + mu, + x_0, + G, + sigma_0, + sigma_1, + tauAp, + pAp, + lbda, + k_low, + k_hi, + k_dcr_low, + k_dcr_hi, + DCR, + tau, + t_gate, + t_0 + ): + + + y_light = DRM_basic(x, x_0, G, mu, lbda, sigma_0, sigma_1, DCR, tau, t_gate, t_0, tauAp, pAp, k_low, k_hi) + + y_model = ApplyDCR(x, y_light, x_0, G, DCR, t_gate, t_0, tau, lbda, k_dcr_low, k_dcr_hi) + + + + return y_model diff --git a/PeakOTron.py b/PeakOTron.py index 72fa55249fe5698e7536216aa870b2a7a922556e..09abb78d75ea9e3813a60de0d530634b271fb2da 100644 --- a/PeakOTron.py +++ b/PeakOTron.py @@ -1,390 +1,145 @@ -## code starts### - -import os -import numpy as np -import pandas as pd -from itertools import chain +from Bootstrapping import BootstrapKDE, Bootstrap +from HelperFunctions import GP_gain, GP_lbda, GP_muGP, GetStats +from HelperFunctions import LatexFormat, Linear, SelectRangeNumba +from LossFunctions import * +from Model_AP1 import DRM from iminuit import Minuit -from iminuit.util import describe +from scipy.signal import find_peaks, peak_widths +from scipy.integrate import cumtrapz, quad +from scipy.interpolate import interp1d +from scipy.stats import poisson +from scipy.stats import skew as sp_skew +from scipy.stats import kurtosis as sp_kurt +from astropy.stats import knuth_bin_width, freedman_bin_width, scott_bin_width +from matplotlib import cm import matplotlib.pyplot as plt import matplotlib.gridspec as gridspec -from matplotlib import cm -from numba import njit -from difflib import ndiff -import re -from KDEpy import FFTKDE -import scipy.special as sc -from scipy.integrate import quad -from scipy.stats import poisson, skew, norm, binom -from scipy.interpolate import interp1d -from scipy.signal import find_peaks, peak_widths -from scipy.signal import fftconvolve as convolve -from astropy.stats import knuth_bin_width, freedman_bin_width, scott_bin_width, bootstrap -from sklearn.preprocessing import RobustScaler -from AdditionalPDFs import gpoisson, borel - - -class FakeFuncCode: - def __init__(self, f, prmt=None, dock=0, append=None): - #f can either be tuple or function object - self.co_varnames = describe(f) - self.co_argcount = len(self.co_varnames) - self.co_argcount -= dock - self.co_varnames = self.co_varnames[dock:] - - if prmt is not None: #rename parameters from the front - for i, p in enumerate(prmt): - self.co_varnames[i] = p - - if isinstance(append, str): append = [append] - - if append is not None: - old_count = self.co_argcount - self.co_argcount += len(append) - self.co_varnames = tuple( - list(self.co_varnames[:old_count]) + - append + - list(self.co_varnames[old_count:])) - - -class BandWidthOptimiser: - - #Hobbema, Hermans, and Van den Broeck (1971) and by Duin (1976) - #leave-one-out cross-validation approach - #https://cran.r-project.org/web/packages/kedd/vignettes/kedd.pdf - def _Dummy(self, _, bw): - return bw - - - def _KDE(self, bw): - try: - x_kde, y_kde = FFTKDE(kernel = self.kernel, bw=bw).fit(self.data).evaluate(self.n_kde_samples) - - loss = -np.sum(np.log(y_kde)) - - except: - - loss = self.eps_inv - - return loss - - def _PPF(self, data): - """ Compute ECDF """ - x = np.sort(data) - n = x.size - y = np.arange(1, n+1) / n - _ppf = interp1d(y, x) - return _ppf - - - - def __init__(self, data, kernel="gaussian", alpha = 0.95, n_kde_samples=2**13): - if(alpha<=0.5): - raise ValueError("alpha must be above 0.5") - - self.data = data - self.PPF = self._PPF(self.data) - self.data = self.data[(self.data<self.PPF(alpha))] - self.N = len(data) - self.kernel=kernel - self.n_kde_samples=n_kde_samples - self.last_arg = None - self.func_code = FakeFuncCode(self._Dummy, dock=True) - self.eps = np.finfo(np.float64).eps * 10 - self.eps_inv = 1/self.eps - - - def __call__(self, *arg): - self.last_arg = arg - loss = self._KDE(*arg) - return loss - - - - -class UnbinnedLH: - - - def __init__(self, f, data, x): - self.f = f - self.x = x - self.data = data - self.last_arg = None - self.func_code = FakeFuncCode(f, dock=True) - self.ndof = len(self.data) - (self.func_code.co_argcount - 1) - self.eps = np.finfo(np.float64).eps * 10 - self.eps_inv = 1/self.eps - self.log_eps = np.log(self.eps) - - - def Logify(self, y): - - return np.where(y>self.eps, np.log(y), self.log_eps) - - - - def __call__(self, *arg): - self.last_arg = arg - y_hat = self.f(self.x, *arg) - log_y_hat = interp1d(self.x, - self.Logify(y_hat), - fill_value=(self.log_eps,self.log_eps), - bounds_error=False)(self.data) - - nlogL = -np.sum(log_y_hat) - - - return nlogL - - -class BinnedLH: - - - def __init__(self, f, x, y): - self.f = f - self.x = x - self.y = y - self.last_arg = None - self.func_code = FakeFuncCode(f, dock=True) - self.ndof = len(self.y) - (self.func_code.co_argcount - 1) - self.eps = np.finfo(np.float64).eps * 10 - self.eps_inv = 1/self.eps - self.log_eps = np.log(self.eps) - - - def Logify(self, y): - - return np.where(y>self.eps, np.log(y), self.log_eps) - - - - def __call__(self, *arg): - self.last_arg = arg - y_hat = self.f(self.x, *arg) - # y_hat = np.nan_to_num(y_hat, nan=self.eps_inv) - logL = self.y*(self.Logify(y_hat) - self.Logify(self.y)) + (self.y - y_hat) - nlogL = -np.sum(logL) - - return nlogL - - - - -class Chi2Regression: - - - def __init__(self, f, x, y, y_err, epsilon=1.35): - self.f = f - self.x = x - self.y = y - self.y_err = y_err - self.eps = np.finfo(np.float64).eps * 10 - self.y_err[self.y_err<self.eps] = self.eps - self.last_arg = None - self.func_code = FakeFuncCode(f, dock=True) - self.ndof = len(self.y) - (self.func_code.co_argcount - 1) - +from matplotlib.ticker import MaxNLocator, ScalarFormatter +from itertools import chain - def __call__(self, *arg): - - self.last_arg = arg - - loss = ((self.f(self.x, *arg) - self.y)/(self.y_err))**2 - - return np.sum(loss) - - - - -class HuberRegression: - - def __init__(self, f, x, y, y_err, delta=1.35): - self.f = f - self.x = x - self.y = y - self.y_err = y_err - self.delta = delta - self.eps = np.finfo(np.float64).eps * 10 - self.y_err[self.y_err<self.eps] = self.eps - self.last_arg = None - self.func_code = FakeFuncCode(f, dock=True) - self.ndof = len(self.y) - (self.func_code.co_argcount - 1) - - def __call__(self, *arg): - - self.last_arg = arg - - a = abs((self.y - self.f(self.x, *arg))/self.y_err) - cond_flag = (a>self.delta) - - loss = np.sum((~cond_flag) * (0.5 * a ** 2) - (cond_flag) * self.delta * (0.5 * self.delta - a), -1) - - return np.sum(loss) - +import matplotlib.pyplot as plt -@njit -def _SelectRangeNumba(array, low_lim, hi_lim): - index = (array >= low_lim) & (array <= hi_lim) - return array[index] - class PeakOTron: def __init__(self, verbose=False, - n_call_minuit=1000, - n_iterations_minuit = 10 + n_call_minuit=20000, + n_iterations_minuit = 50, + n_bootstrap=1000 ): + self._default_hist_data={ + "count":None, + "density":None, + "bin_numbers":None, + "bin_centers":None, + "bw":None, + "peaks":{ + "peak_position":None, + "peak_position_lower":None, + "peak_position_upper":None, + "peak_height":None, + "peak_height_lower":None, + "peak_height_upper":None, + "peak_mean":None, + "peak_mean_error":None, + "peak_variance":None, + "peak_variance_error":None, + "peak_std_deviation":None, + "peak_std_deviation_error":None, + "peak_skewness":None, + "peak_skewness_error":None, + "peak_kurtosis":None, + "peak_kurtosis_error":None, + }, + "bc2bn":None, + "bn2bc":None, + "bn2kde":None, + "bn2kde_err":None, + "bn2bg_sub":None + } + + self._default_fit_dict={ + "x_0":None, + "G":None, + "lbda":None, + "mu":None, + "sigma_0":None, + "sigma_1":None, + "DCR":None, + "tau":None, + "t_gate":None, + "tauAp":None, + "pAp":None, + "t_0":None, + "k_low":None, + "k_hi":None, + "k_dcr_low":None, + "k_dcr_hi":None + + } - self.Init() - self.greek_letters = ["Alpha", - "alpha", - "Beta", - "beta", - "Gamma", - "gamma", - "Delta", -# "delta", - "Epsilon", - "epsilon", - "Zeta", - "zeta", - "Eta", - "eta", - "Theta", - "theta", - "Iota", - "iota", - "Kappa", - "kappa", - "Lbda", - "lbda", - "Mu", - "mu", - "Nu", - "nu", - "Xi", - "xi", - "Omicron", - "omicron", - "Pi", - "pi", - "Rho", - "rho", - "Sigma", - "sigma", - "Tau", - "tau", - "Upsilon", - "upsilon", - "Phi", - "phi", - "Chi", - "chi", - "Psi", - "psi", - "Omega", - "omega"] - - self._eps = np.finfo(np.float64).eps * 10 - self._eps_kde = 1e-5 - self._FWHM2Sigma = 1/(2*np.sqrt(2*np.log(2))) + + + self._plot_figsize= (10,10) - self._plot_fontsize= 20 + self._plot_fontsize= 25 + self._plot_legendfontsize= 18 self._cmap = cm.get_cmap('viridis') - - self._max_n_peaks = 12 - self._max_n_dcr_peaks = 6 + #self._eps = np.finfo(np.float64).eps * 10 + self._eps = 1e-5 + + self._n_bootstrap=n_bootstrap self._len_DCR_pad = int(100) self._verbose=verbose self._n_call_minuit = n_call_minuit self._n_iterations_minuit = n_iterations_minuit self._is_histogram = False + self._failed = False self._default_fit_kwargs={ "tau":None, + "tau_err":None, "t_0":None, - "r_fast":None, - "tgate":None, - "n_bootstrap": 1000, - "n_bootstrap_kde":100, + "t_0_err":None, + "t_gate":None, + "t_gate_err":None, "bw":None, "peak_dist_factor":0.8, "peak_width_factor":0.5, - "peak_ppf":0.99, - "peak_prominence":1e-3, - "kernel_kde":"gaussian", - "bandwidth_kde":"optimise", "ppf_mainfit":1 - 1e-6, "bin_method":"knuth", - "alpha":0.95 + "alpha_peaks":0.99, + "alpha_fit":1-1e-6, } - - - + self.Init() - def LevDist(self, str1, str2): - counter = {"+": 0, "-": 0} - distance = 0 - for edit_code, *_ in ndiff(str1, str2): - if edit_code == " ": - distance += max(counter.values()) - counter = {"+": 0, "-": 0} - else: - counter[edit_code] += 1 - distance += max(counter.values()) - return distance + ###HELPER FUNCTIONS def Init(self): + self._fit_kwargs = self._default_fit_kwargs.copy() + self._prefit_values = self._default_fit_dict.copy() + self._prefit_errors = self._default_fit_dict.copy() + self._fit_values= self._default_fit_dict.copy() + self._fit_errors = self._default_fit_dict.copy() - self._peak_data = {} - self._GD_data = {} - self._DCR_data={} - - - self._fit_values= {} - self._fit_errors = {} + self._hist_data = self._default_hist_data.copy() + + self._fit = None self._failed = False - - - - def LatexFormat(self, f, scirange=[0.01,1000]): - if(np.abs(f)>scirange[0] and np.abs(f)<scirange[1]): - float_str = r"${:3.3f}$".format(f) - else: - try: - float_str = "{:3.3E}".format(f) - base, exponent = float_str.split("E") - float_str = r"${0} \times 10^{{{1}}}$".format(base, int(exponent)) - except: - float_str=str(f) - return float_str - - - - def SelectRange(self, array, low_lim, hi_lim): - return _SelectRangeNumba(array, low_lim, hi_lim) - - - - def Logify(self, y): - log_y = np.log(y) - min_log_y = np.min(log_y[y>0]) - - return np.where(y>0, log_y, min_log_y) def SetMaxNPeaks(self, max_n_peaks): @@ -394,9 +149,8 @@ class PeakOTron: self._max_n_peaks = max_n_peaks - print("Set maximum number of peaks to {:d}.".format(self._max_n_peaks)) - - + if(self._verbose): + print("Set maximum number of peaks to {:d}.".format(self._max_n_peaks)) def SetMaxNDCRPeaks(self, max_n_dcr_peaks): @@ -406,903 +160,433 @@ class PeakOTron: self._max_n_dcr_peaks = max_n_dcr_peaks - print("Set maximum number of dark peaks to {:d}.".format(self._max_n_dcr_peaks)) - - - def DummyLinear(self, x, m, c): - return m*x + c + if(self._verbose): + print("Set maximum number of dark peaks to {:d}.".format(self._max_n_dcr_peaks)) - def DummyLogGPois(self, k, mu, lbda, A): - - - return A + gpoisson.logpmf(k, mu, lbda) - - def SigmaK(self, k, sigma_0, sigma_1): - return np.sqrt(sigma_0**2 + k*sigma_1**2) - - - - def GPoisPPF(self, q, mu, lbda, k_max): - _sum = 0 - _count = 0 - while _count<=k_max: - _sum += gpoisson.pmf(_count, mu, lbda) - if(_sum<q): - _count+=1 - else: - break - - return _count - - - def EmpiricalPPF(self, data): - """ Compute ECDF """ - x = np.sort(data) - n = x.size - y = np.arange(1, n+1) / n - _ppf = interp1d(y, x) - return _ppf - - - def FFTGain(self, x_kde, y_kde): - n = len(x_kde) - dt = abs(x_kde[1]-x_kde[0]) - fhat = np.fft.fft(y_kde, n) #computes the fft - psd = fhat * np.conj(fhat)/n - freq = (1/(dt*n)) * np.arange(n) #frequency array - idxs_half = np.arange(1, np.floor(n/2), dtype=np.int32) - - y = np.abs(psd[idxs_half]) - x = freq[idxs_half] - - peaks, _= find_peaks(y) - idx_sort = np.argsort(y[peaks]) - y_peaks = y[peaks][idx_sort] - x_peaks = x[peaks][idx_sort] - - x_peak = x_peaks[-1] - -# plt.figure(figsize=(10.0, 10.0)) -# plt.title("$G$={:s} Q.U.".format(self.LatexFormat((1/x_peak)*self.scaler.scale_[0])), fontsize=20) -# plt.plot(x, y, lw=3) -# plt.ylabel("Energy Spectral Density $|S(f_{PH})|^{2}$", fontsize=25) -# plt.xlabel("$f_{PH}{$ [Inv. Q.U.]", fontsize=20) -# plt.axvline(x=x_peak, color="purple", lw=3, linestyle="--", label="Maximum Peak") -# plt.yscale("log") -# plt.xscale("log") -# plt.xticks(fontsize=20) -# plt.yticks(fontsize=20) -# plt.grid(which="both") -# plt.legend(fontsize=15) -# plt.show() - - gain = 1/x_peak - return gain - - - def EstLbda(self, data_sub_x_0): - _skew = skew(data_sub_x_0) - _mean = np.mean(data_sub_x_0) - _std = np.std(data_sub_x_0) - - _lbda = 0.5*(((_mean*_skew)/(_std))- 1) - return _lbda - - def EstGain(self, data_sub_x_0): - _skew = skew(data_sub_x_0) - _mean = np.mean(data_sub_x_0) - _std = np.std(data_sub_x_0) - - _lbda = 0.5*(((_mean*_skew)/(_std))- 1) - _gain = (_std**2/_mean)*((1 - _lbda)**2) - return _gain - - def EstMu(self, data_sub_x_0): - _skew = skew(data_sub_x_0) - _mean = np.mean(data_sub_x_0) - _std = np.std(data_sub_x_0) - _lbda = 0.5*(((_mean*_skew)/(_std))- 1) - _mu = (1/(1-_lbda))*(_mean**2/_std**2) - return _mu - - - def Bootstrap(self, data, statistic, alpha=0.95, n_samples=10000): - if not (0 < alpha < 1): - raise ValueError("confidence level must be in (0, 1)") + def GetBins(self, data, bw, bin_method): + if(data.ndim == 1): +# print("Data is assumed 1D. Assuming list of charges.") - n = n_samples - if n <= 0: - raise ValueError("data must contain at least one measurement.") - - - - boot_stat = bootstrap(data, n_samples, bootfunc=statistic) + if(bw is None): + print("Bin width not set. Binning with {:s}".format(bin_method)) + if(bin_method == "knuth"): + bw = knuth_bin_width(data) + elif(bin_method == "freedman"): + bw = freedman_bin_width(data) + elif(bin_method == "scott"): + bw = scott_bin_width(data) + else: + raise Exception("Binning method not recognised. Please select bin_method from 'knuth', 'freedman' or 'scott'") - stat_data = statistic(data) - mean_stat = np.mean(boot_stat) - est_stat = 2*stat_data - mean_stat - std_err = np.std(boot_stat) - z_score = np.sqrt(2.0)*sc.erfinv(alpha) - conf_interval = est_stat + z_score*np.array((-std_err, std_err)) + x_min, x_max = data.min(), data.max() + elif(data.ndim == 2): +# print("Data is assumed 2D. Assuming input is a histogram, with columns [bin_centre, counts].") + _x, _y = data[:,0], data[:,1] + data = np.array(list(chain.from_iterable([[__x]*int(__y) for __x,__y in zip(_x,_y)]))) + f_bin = interp1d(np.arange(0, len(_x)), _x) + bw = abs(f_bin(1) - f_bin(0)) + idx_nonzero = np.squeeze(np.argwhere((_y>0))) + x_min, x_max = _x[np.min(idx_nonzero)]-bw/2, _x[np.max(idx_nonzero)]+bw/2 - return est_stat, std_err, conf_interval + + nbins = np.ceil((x_max - x_min) / bw) + nbins = max(1, nbins) + bins = x_min + bw * np.arange(nbins + 1) + return data, bw, nbins, bins - - - def BootstrapKDE(self, data, kernel = "gaussian", bw="optimise", - n_kde_samples=2**13, - alpha=0.95, - n_samples=1000, - limits=None - ): - - if not (0 < alpha < 1): - raise ValueError("Bootstrap confidence level, alpha, must be in (0, 1).") - - n = n_samples - if n <= 0: - raise ValueError("Bootstrap data must contain at least one measurement.") - - kernels = list(FFTKDE._available_kernels.keys()) - if kernel not in kernels: - raise ValueError("Selected KDE kernel not available. Please choose from these options: {:s}.".format(", ".join(kernels))) - + + + def GetEstPedestal(self, data, gain_fft): + mu, sigma, gamma = GetStats(data) - if(not isinstance(bw, float)): - bws = list(FFTKDE._bw_methods.keys()) + ["optimise"] - if bw not in bws: - raise ValueError("Selected KDE bandwidth estimation method not available. Please choose from these options: {:s}.".format(", ".join(bws))) - + f_pedestal = lambda x_0: (GP_gain(mu-x_0, sigma, gamma) - gain_fft)**2 + m_gain = Minuit(f_pedestal, x_0 = mu) + m_gain.migrad() + m_gain.hesse() - if(bw=="optimise"): - - try: - BWO= BandWidthOptimiser(data, kernel=kernel) - bw_scott = scott_bin_width(data) - minuit_kde = Minuit(BWO, bw=bw_scott/2) - minuit_kde.limits["bw"]=(self._eps_kde, 3*bw_scott) - minuit_kde.strategy=2 - minuit_kde.migrad(ncall= self._n_call_minuit, - iterate =self._n_iterations_minuit) - - bw = minuit_kde.values["bw"] - if(self._verbose): - print("KDE Bandwidth optimised to: {0}".format(bw)) - except: - if(self._verbose): - print("KDE Bandwidth optimisation failed. Defaulting to Improved Sheather Jones.") - bw = "ISJ" + return m_gain.values["x_0"] + + + + def PlotOriginalHistogram(self, + ax + ): - kde = FFTKDE(kernel = kernel, bw=bw).fit(data) - x_kde, y_kde_orig = kde.evaluate(n_kde_samples) - - boot_data = bootstrap(data, n_samples) - y_kde_bs = np.vstack([FFTKDE(kernel = kernel, bw=bw).fit(_data).evaluate(x_kde) - for _data in boot_data]) - - - y_kde_mean = np.mean(y_kde_bs, axis=0) - y_kde = 2*y_kde_orig - y_kde_mean - y_kde_err = np.std(y_kde_bs, axis=0) - z_score = np.sqrt(2.0)*sc.erfinv(alpha) - y_kde_conf_interval = y_kde + z_score*np.array((-y_kde_err, y_kde_err)) + counts = self._hist_data["counts"] + bin_numbers = self._hist_data["bin_numbers"] - if(limits is not None): - cond_inrange =(x_kde>np.min(limits)) & (x_kde<np.max(limits)) - x_kde = x_kde[cond_inrange] - y_kde = y_kde[cond_inrange] - y_kde_err = y_kde_err[cond_inrange] - - return x_kde, y_kde, y_kde_err, y_kde_conf_interval - - + ax.plot(bin_numbers, counts, label="Histogram", color="C0", lw=5) + ax.grid(which="both") + ax.set_ylabel("$f_{Q}(Q)$ [$Q^{-1}$]", fontsize=self._plot_fontsize) + ax.set_xlabel("Bin Number", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) + ax.tick_params(axis="y", labelsize=self._plot_fontsize) + ax.legend(fontsize=self._plot_legendfontsize) - ##MODEL DEFINITIONS - - def DRM_basic(self, x, mu, x_0, G, sigma_0, sigma_1, alpha, r_beta, lbda, k_low, k_hi): - - k = np.arange(k_low, k_hi) - k = sorted(list(k[k!=0])) - k_is = [k[0:int(_k)] for _k in k] - - f0 = gpoisson.pmf(0, mu, lbda)*norm.pdf(x, x_0, sigma_0) - f1s = np.asarray([ - binom.pmf(0, _k, alpha)*gpoisson.pmf(_k, mu, lbda)*norm.pdf(x, x_0 + _k*G, self.SigmaK(_k, sigma_0, sigma_1)) - for _k in k - ]) - - f2s = np.vstack([ - np.asarray([ - binom.pmf(_i, _k, alpha)*gpoisson.pmf(_k, mu, lbda)*self.XTM(x, _k, _i, x_0, G, sigma_0, sigma_1, r_beta) - for _i in _is - ]) - - for _k, _is in zip(k, k_is) - ]) - - - f = np.sum(np.vstack([f0, f1s, f2s]), axis=0) - - return f - - - - - def XTM(self, x, k, i, x_0, G, sigma_0, sigma_1, r_beta): - - x_k = x - (x_0 + k*G) - _sigma_k = self.SigmaK(k, sigma_0, sigma_1) - x_ct_pad = np.zeros_like(x_k) - - if(i==1): - cond = (x_k > -5*_sigma_k) - error_f = 0.5*(1.0 + sc.erf(x_k/(_sigma_k*np.sqrt(2.0)))) - log_f = -x_k/(r_beta*G) - np.log(r_beta*G) - x_ct = np.where(cond, np.exp(log_f)*error_f, x_ct_pad) - - elif(i>1): - cond = (x_k > 0) - log_f = sc.xlogy(i-1, x_k) - sc.gammaln(i) - sc.xlogy(i, r_beta*G) - x_k/(r_beta*G) - x_ct = np.where(cond, np.exp(log_f), x_ct_pad) - - else: - x_ct = x_k - - return x_ct - - - - - def PH_range(self, t, t_0, r_fast, tau, tgate): - - if((t>t_0) and (t<0)): - PH_min = (1-r_fast)*np.exp(t_0/tau)*(1 - np.exp(-tgate/tau)) - PH_max = (1-r_fast)*(1 - np.exp(-tgate/tau)) - elif((t>0) and (t<tgate)): - PH_min = r_fast - PH_max = (1 - (1-r_fast)*np.exp(-tgate/tau)) - else: - PH_min = 0 - PH_max = 0 - - return PH_min, PH_max - - - def dpdPH(self, x, x_0, G, tau, tgate, t_0, r_fast): - - - PH_bfg_low, PH_bfg_hi = self.PH_range(-abs(t_0)/2, -abs(t_0), r_fast, tau, tgate) - PH_dg_low, PH_dg_hi = self.PH_range(tgate/2, -abs(t_0), r_fast, tau, tgate) - - x_norm = (x-x_0)/(G) - - PHs = np.zeros_like(x_norm) - - cond_bfg = (x_norm>PH_bfg_low) & (x_norm<=PH_bfg_hi) - cond_dg = (x_norm>PH_dg_low) & (x_norm<=PH_dg_hi) - - PHs[cond_bfg] += 1/x_norm[cond_bfg] - PHs[cond_dg] += 1/(1 - x_norm[cond_dg]) - - - return PHs - - - def ApplyDCR(self, x, y_light, x_0, G, DCR, tgate, t_0, tau, r_fast, lbda, k_dcr_low, k_dcr_hi): - - mu_dcr = DCR*(abs(t_0) + tgate) - x_lin = np.arange(0, len(x)) - x_pad_lin = np.arange(-self._len_DCR_pad, len(x)+self._len_DCR_pad) - f_lin = interp1d(x, x_lin, fill_value='extrapolate') - f_lin_inv = interp1d(x_lin, x, fill_value='extrapolate') - dx = abs(f_lin_inv(1) - f_lin_inv(0)) - G_lin = f_lin(x_0+G) - f_lin(x_0) - x_0_lin = f_lin(x_0) - - idx_orig = np.where(np.in1d(x_pad_lin, - np.intersect1d( - x_pad_lin, - x_lin - ) - ), True, False) - - idx_x_0_lin = np.argmin(abs(x_pad_lin - x_0_lin)) - + def GetChi2(self, prefit=False): - n_dcr = np.arange(k_dcr_low, max(2, k_dcr_hi) ) - - fs = [] - pfs = [] - hs = [] - phs = [] - - for _n_dcr in n_dcr: - - if(_n_dcr==0): - - f = np.zeros(len(x_pad_lin)) - - f[idx_x_0_lin] = 1 - - pf = poisson.pmf(0, mu_dcr) - - h = np.zeros(len(x_pad_lin)) - - ph = 0 - - - else: - if(len(fs)<=1): - f = self.dpdPH(x_pad_lin, x_0_lin, G_lin, tau, tgate, t_0, r_fast) - else: - f = convolve(fs[1], fs[-1])[idx_x_0_lin:len(x_pad_lin)+idx_x_0_lin] - - f = f/ np.trapz(f, dx = 1) - - pf = poisson.pmf(_n_dcr, mu_dcr)*(borel.pmf(0, lbda)**_n_dcr) - - h = self.dpdPH(x_pad_lin, x_0_lin, G_lin*(_n_dcr+1), tau, tgate, t_0, r_fast) - h = h/ np.trapz(h, dx = 1) - ph = poisson.pmf(1, mu_dcr)*borel.pmf(_n_dcr, lbda)/(_n_dcr+1) - - fs.append(f) - pfs.append(pf) - hs.append(h) - phs.append(ph) - + if(any(_ is None for _ in [self._hist_data["bin_centres"], + self._hist_data["density_orig"], + self._hist_data["density_orig_error"], + self._fit_values + ])): + return np.nan, np.nan + else: + x = self._hist_data["bin_centres"] + y = self._hist_data["density_orig"] + min_error = 1/self._hist_data["bw"]/np.sum(self._hist_data["counts"]) + y_err = np.where(self._hist_data["density_orig_error"]<min_error, + min_error, + self._hist_data["density_orig_error"]) - - - - fs = np.asarray(fs) - hs = np.asarray(hs) - pfs = np.expand_dims(np.asarray(pfs), -1) - phs = np.expand_dims(np.asarray(phs), -1) - y_dark = np.sum(fs*pfs, axis=0) + np.sum(hs*phs, axis=0) - #y_dark = y_dark/np.trapz(h, dx = 1) - y_dark = y_dark/np.trapz(y_dark, dx = 1) - - - y_model = convolve(y_dark, - np.pad(y_light, - (self._len_DCR_pad, self._len_DCR_pad), - "constant", - constant_values=(0.0,0.0)), - )[idx_x_0_lin:len(x_pad_lin)+idx_x_0_lin] + y_hat = self.GetModel(x, prefit) - y_model = y_model/np.trapz(y_model, dx = 1)/dx - y_model = y_model[idx_orig] - - return y_model - - - - def DRM_nodcr( - self, - x, - mu, - x_0, - G, - sigma_0, - sigma_1, - alpha, - r_beta, - lbda, - k_low, - k_hi): - - y_model = self.DRM_basic(x, - mu, - x_0, - G, - sigma_0, - sigma_1, - alpha, - r_beta, - lbda, - k_low, - k_hi, - dx - ) - - return y_model - - - - def DRM( - self, - x, - mu, - x_0, - G, - sigma_0, - sigma_1, - alpha, - r_beta, - lbda, - k_low, - k_hi, - k_dcr_low, - k_dcr_hi, - DCR, - tau, - tgate, - t_0, - r_fast - ): - - - - - y_light = self.DRM_basic(x, - mu, - x_0, - G, - sigma_0, - sigma_1, - alpha, - r_beta, - lbda, - k_low, - k_hi - ) - - y_model = self.ApplyDCR(x, - y_light, - x_0, - G, - DCR, - tgate, - t_0, - tau, - r_fast, - lbda, - k_dcr_low, - k_dcr_hi) + chi2 = np.nansum(((y_hat - y)/y_err)**2) + ndof = len(x) - 9 + return chi2, ndof - - - return y_model - - - ###PLOTTING + def PlotDensity(self, ax): + + density = self._hist_data["density"] + density_error = self._hist_data["density_error"] + bin_numbers = self._hist_data["bin_numbers"] + + ax.plot(bin_numbers, density, label="KDE", color="purple", lw=5) + plt.fill_between(bin_numbers, + density - 1.96*density_error, + density + 1.96*density_error, + label="KDE, 95% Confidence", + alpha=0.3, + color="purple", lw=0) + ax.grid(which="both") + ax.set_ylabel("$f_{Q}(Q)$ [$Q^{-1}$]", fontsize=self._plot_fontsize) + ax.set_xlabel("Bin Number", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) + ax.tick_params(axis="y", labelsize=self._plot_fontsize) + ax.legend(fontsize=self._plot_legendfontsize) + + def PlotFFT(self, ax): + fft_freq = self._hist_data["fft_freq"] + fft_amplitude = self._hist_data["fft_amplitude"] + G_fft = self._hist_data["G_fft"] + inv_G_fft = 1/G_fft - def PlotOriginalHistogram(self, ax): - - ax.plot(self._GD_data["x_s"], - self._GD_data["y_s"], - lw=5, - label="Data") - ax.set_title("Normalised \n Input \n Distribution",fontsize=self._plot_fontsize) - ax.set_xlabel("IQR Normalised Charge Units [Q.U.]", fontsize=self._plot_fontsize) - ax.tick_params(axis="x", labelsize=self._plot_fontsize) - ax.tick_params(axis="y", labelsize=self._plot_fontsize) + ax.plot(fft_freq, + fft_amplitude, + color="purple", + label="Absolute Square of FFT\n of KDE", + lw=5) + + ax.fill_between(fft_freq[fft_freq<inv_G_fft], + fft_amplitude[fft_freq<inv_G_fft], 0, + edgecolor="red", + facecolor = 'none', + lw=2, + hatch = "//", + label="High Pass Filter Range") + + + ax.axvline(x=inv_G_fft, color="green", lw=2, label="$G_{{FFT}}$ = {:3.3f} bins".format(G_fft)) + ax.set_yscale("log") + ax.set_xscale("log") ax.grid(which="both") - ax.legend(fontsize=max(10, self._plot_fontsize//1.5)) - - - def PlotKDE(self, ax): - ax.plot(self._GD_data["x_s"], - self._GD_data["y_s"], - label="Data", - lw=5 - ) - ax.plot(self._GD_data["x_kde_s"], - self._GD_data["y_kde_s"], - lw=2.5, - label="KDE") - - ax.set_title("Kernel Density Estimate", fontsize=self._plot_fontsize) - ax.set_xlabel("IQR Normalised Charge Units [Q.U.]", fontsize=self._plot_fontsize) - ax.tick_params(axis="x", labelsize=self._plot_fontsize) + ax.set_xlabel("Inverse Bin Number", fontsize=25) + ax.set_ylabel("$|\\mathcal{F}(f_{Q}(Q))|^{2}$", fontsize=25) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) ax.tick_params(axis="y", labelsize=self._plot_fontsize) - ax.set_yscale("log") + ax.legend(fontsize=self._plot_legendfontsize) + + def PlotBGSub(self, ax): + density = self._hist_data["density"] + density_bgsub = self._hist_data["density_bgsub"] + bin_numbers = self._hist_data["bin_numbers"] + + ax.plot(bin_numbers, + density, + label="KDE", + color="purple", + lw=5) + ax.plot(bin_numbers, + density_bgsub, + label="KDE,\n Filtered", + color="red", + linestyle="--", + lw=5) ax.grid(which="both") - ax.set_ylim([1e-5, None]) - ax.legend(fontsize=max(10, self._plot_fontsize//1.5)) + ax.set_xlabel("Bin Number", fontsize=25) + ax.set_ylabel("$f_{Q}(Q)$ [$Q^{-1}$]", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) + ax.tick_params(axis="y", labelsize=self._plot_fontsize) + ax.legend(fontsize=self._plot_legendfontsize) + + + def PlotPeaks(self, ax): + + density = self._hist_data["density"] + bin_numbers = self._hist_data["bin_numbers"] + x_0_est = self._hist_data["x_0_est"] + peak_position = self._hist_data["peaks"]["peak_position"] + peak_position_lower = self._hist_data["peaks"]["peak_position_lower"] + peak_position_upper = self._hist_data["peaks"]["peak_position_upper"] + peak_height = self._hist_data["peaks"]["peak_height"] + peak_height_lower = self._hist_data["peaks"]["peak_height_lower"] + peak_height_upper = self._hist_data["peaks"]["peak_height_upper"] + + ax.plot(bin_numbers, density, label="KDE", color="purple", lw=5) + color_vals = [self._cmap(_v) for _v in np.linspace(0,0.75, len(peak_position))] + + + for peak_i, (pp, ppl, ppu, ph, phl, phu) in enumerate(zip( + peak_position, + peak_position_lower, + peak_position_upper, + peak_height, + peak_height_lower, + peak_height_upper + )): + if(peak_i == 0): + annotation_text = "$Q_{{Ped}}$" + color = "red" + else: + annotation_text = "Peak {:d}".format(peak_i) + color = color_vals[peak_i] + + ax.vlines(x=[pp], + ymin=0, + ymax=ph, + color=color, + linestyle="-", + lw=2.5, + label = '{:s}'.format(annotation_text) + ) + ax.vlines(x=[ppl], + ymin=0, + ymax=phl, + color=color, + lw=2.5, + linestyle="--") + + ax.vlines(x=[ppu], + ymin=0, + ymax=phu, + color=color, + lw=2.5, + linestyle="--") + + + ax.axvline(x=x_0_est, + color="green", + lw=2, + label= "$Q_{{Ped}}$ Estimate") + + ax.set_xlabel("Bin Number", fontsize=self._plot_fontsize) + ax.set_ylabel("$f_{Q}(Q)$ [$Q^{-1}$]", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) + ax.tick_params(axis="y", labelsize=self._plot_fontsize) + ax.grid(which="both") + ax.legend(fontsize=self._plot_legendfontsize) + + def PlotVarianceFit(self, ax): + density = self._hist_data["density"] + bin_numbers = self._hist_data["bin_numbers"] - def PlotPeaks(self, ax): - - ax.plot(self._GD_data["x_s"], - self._GD_data["y_s"], - label="Input Pulse \n Height \n Spectrum", - lw=5 + peak_position_norm = self._hist_data["peaks"]["peak_position_norm"] + peak_variance = self._hist_data["peaks"]["peak_variance"] + peak_variance_error = self._hist_data["peaks"]["peak_variance_error"] + + + _offset = self._hist_data["bc_min"] + _scale = self._hist_data["bw"] + + sigma_0 = self._prefit_values["sigma_0"]/_scale + dsigma_0 = self._prefit_errors["sigma_0"]/_scale + sigma_1 = self._prefit_values["sigma_1"]/_scale + dsigma_1 = self._prefit_errors["sigma_1"]/_scale + + ax.errorbar(peak_position_norm, + peak_variance, + yerr=peak_variance_error, + fmt="o", + lw=3, + markersize=10, + color="C0", + label="Peak Variances" ) - - color_vals = [self._cmap(_v) for _v in np.linspace(0,0.75, len(self._peak_data["x_peak_s"]))] - - for _i_x, (_x, _x_w, _c_v) in enumerate(zip( - self._peak_data["x_peak_s"], - self._peak_data["x_width_s"], - color_vals - )): - _x_peak =_x - _x_width_low = _x - _x_w/2 - _x_width_hi = _x + _x_w/2 - _y_peak = self._GD_data["y_s"][np.argmin(abs(self._GD_data["x_s"]-_x_peak))] - _y_width_low = self._GD_data["y_s"][np.argmin(abs(self._GD_data["x_s"]-_x_width_low))] - _y_width_hi = self._GD_data["y_s"][np.argmin(abs(self._GD_data["x_s"]-_x_width_hi))] - - - if(_i_x == 0): - annotation_text = "Pedestal" - color = "red" - else: - annotation_text = "Peak {:d}".format(_i_x) - color = _c_v - - ax.vlines(x=[_x], - ymin=0, - ymax=_y_peak, - color=color, - linestyle="-", - lw=2.5, - label = '\n{:s}: \n $x_{{pos}}$ = {:3.3f} Q.U \n $\Delta x_{{pos}}$ {:3.3f} Q.U \n'.format( - annotation_text, - _x_peak, - _x_width_hi - _x_width_low) - - ) - - ax.vlines(x=[_x_width_low], - ymin=0, - ymax=_y_width_low, - color=color, - lw=2.5, - linestyle="--") - - ax.vlines(x=[_x_width_hi], - ymin=0, - ymax=_y_width_hi, - color=color, - lw=2.5, - linestyle="--") - - - - box = ax.get_position() - ax.set_position([box.x0, box.y0, box.width * 0.8, box.height]) - - # Put a legend to the right of the current axis - ax.legend(loc='center left', - bbox_to_anchor=(1, 0.5), - fontsize=max(10, self._plot_fontsize//2), - ncol=len(self._peak_data["x_peak_s"])//6 + 1 - ) - ax.set_title("Peak Finding \n # Peaks = {:d}".format(len(self._peak_data["x_peak_s"])) , - fontsize=self._plot_fontsize) - - ax.set_xlabel("IQR Normalised Charge Units [Q.U.]", fontsize=self._plot_fontsize) - ax.tick_params(axis="x", labelsize=self._plot_fontsize) - ax.tick_params(axis="y", labelsize=self._plot_fontsize) - ax.set_yscale("log") - ax.grid(which="both") - - - def PlotGenPois(self, ax): - - ax.scatter(self._peak_data["n_peak_s"], - self.Logify(self._peak_data["y_peak_s"]), - label="Extracted Peak Heights" - ) - - - y_lgp = self.DummyLogGPois(self._peak_data["n_peak_s"], - self._GD_data["fit_GP_mu"], - self._GD_data["fit_GP_lbda"], - self._GD_data["fit_GP_A"] - ) - - ax.plot(self._peak_data["n_peak_s"], - y_lgp, - linestyle="--", - lw=2.5, - color="red", - label="Fit") - - ax.set_title( - "Generalised Poisson Fit \n $\\mu$ = {0} $\pm$ {1} \n $\\lambda$ = {2} $\pm$ {3} \n $A$ = {4} $\pm$ {5}".format( - self.LatexFormat(self._GD_data["fit_GP_mu"]), - self.LatexFormat(self._GD_data["fit_GP_mu_err"]), - self.LatexFormat(self._GD_data["fit_GP_lbda"]), - self.LatexFormat(self._GD_data["fit_GP_lbda_err"]), - self.LatexFormat(self._GD_data["fit_GP_A"]), - self.LatexFormat(self._GD_data["fit_GP_A_err"]) + + ax.plot(peak_position_norm, + Linear(peak_position_norm, + sigma_1**2, + sigma_0**2 + ), + color="C0", + linestyle="--", + lw=3, + label = "Linear Fit: \n $\sigma^{{2}}_{{0}}$ = {:s} $\pm$ {:s} bins \n $\sigma^{{2}}_{{1}}$ = {:s} $\pm$ {:s} bins".format( + LatexFormat(sigma_0**2), + LatexFormat(2*sigma_0*dsigma_0), + LatexFormat(sigma_1**1), + LatexFormat(2*sigma_0*dsigma_1), - ), fontsize=self._plot_fontsize) - - - ax.set_xlabel("Peak", fontsize=self._plot_fontsize) - ax.set_ylabel("$\\log{\\frac{dP}{dPH}}$", fontsize=self._plot_fontsize) - ax.tick_params(axis="x", labelsize=self._plot_fontsize) - ax.tick_params(axis="y", labelsize=self._plot_fontsize) - ax.legend(fontsize=max(10, self._plot_fontsize//1.5)) - ax.grid(which="both") - - - - def PlotSigmaEst(self, ax): + ), + ) - c = self._peak_data["cond_valid_peak"] - ax.set_title("Estimated Peak Variance \n $\\sigma^{{2}}_{{0}}$={0} $\pm$ {1} \n $\\sigma^{{2}}_{{1}}$={2} $\pm$ {3}".format( - self.LatexFormat(self._GD_data["fit_var0"]), - self.LatexFormat(self._GD_data["fit_var0_err"]), - self.LatexFormat(self._GD_data["fit_var1"]), - self.LatexFormat(self._GD_data["fit_var1_err"]), - ), fontsize=self._plot_fontsize) - - - ax.errorbar(self._peak_data["n_peak_s"][c], - self._peak_data["peak_var_s"][c], - yerr=self._peak_data["peak_var_err_s"][c], - label="Extracted Variances", - fmt="o") - - - ax.plot(self._peak_data["n_peak_s"][c], - self.DummyLinear(self._peak_data["n_peak_s"][c], - self._GD_data["fit_var1"], - self._GD_data["fit_var0"] - ), - linestyle="--", - lw=2.5, - color="red", - label="Fit") - - ax.set_xlabel("Peak", fontsize=self._plot_fontsize) - ax.set_ylabel("$\sigma^{2}_{peak}$", fontsize=self._plot_fontsize) - ax.tick_params(axis="x", labelsize=self._plot_fontsize) + + ax.set_xlabel("$k$ [n.p.e]", fontsize=self._plot_fontsize) + ax.set_ylabel("$\sigma^{2}_{k}$ [bins]", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) ax.tick_params(axis="y", labelsize=self._plot_fontsize) - ax.legend(fontsize=max(10, self._plot_fontsize//1.5)) - ax.grid(which="both") + plt.legend(fontsize=self._plot_legendfontsize) + plt.show() - -# def PlotGainEst(self, ax): - -# c = self._peak_data["cond_valid_peak"] - -# ax.set_title("Estimated Gain \n $G$={0} $\pm$ {1} \n $PH_{{0}}$={2} $\pm$ {3}".format( -# self.LatexFormat(self._GD_data["fit_G"]), -# self.LatexFormat(self._GD_data["fit_G_err"]), -# self.LatexFormat(self._GD_data["fit_x_0"]), -# self.LatexFormat(self._GD_data["fit_x_0_err"]), -# ), fontsize=self._plot_fontsize) - - -# ax.errorbar(self._peak_data["n_peak_s"][c], -# self._peak_data["peak_mean_s"][c], -# yerr=self._peak_data["peak_mean_err_s"][c], -# label="Extracted Peak Means", -# fmt="o") - - -# ax.plot(self._peak_data["n_peak_s"][c], -# self.DummyLinear(self._peak_data["n_peak_s"][c], -# self._GD_data["fit_G"], -# self._GD_data["fit_x_0"] -# ), -# linestyle="--", -# lw=2.5, -# color="red", -# label="Fit") - -# ax.set_xlabel("Peak", fontsize=self._plot_fontsize) -# ax.set_ylabel("$<Peak>$", fontsize=self._plot_fontsize) -# ax.tick_params(axis="x", labelsize=self._plot_fontsize) -# ax.tick_params(axis="y", labelsize=self._plot_fontsize) -# ax.legend(fontsize=max(10, self._plot_fontsize//1.5)) -# ax.grid(which="both") - + def PlotMeanFit(self, ax): + density = self._hist_data["density"] + bin_numbers = self._hist_data["bin_numbers"] - - - def PlotDCREst(self, ax): + peak_position_norm = self._hist_data["peaks"]["peak_position_norm"] + peak_mean = self._hist_data["peaks"]["peak_mean"] + peak_mean_error = self._hist_data["peaks"]["peak_mean_error"] + _offset = self._hist_data["bc_min"] + _scale = self._hist_data["bw"] + x_0 = (self._prefit_values["x_0"] - _offset)/_scale + dx_0 = self._prefit_errors["x_0"]/_scale + G = self._prefit_values["G"]/_scale + dG = self._prefit_errors["G"]/_scale - x_dc_kde = self._DCR_data["x_dc_kde"] - y_dc_kde = self._DCR_data["y_dc_kde"] - y_dc_kde_err = self._DCR_data["y_dc_kde_err"] + ax.errorbar(peak_position_norm, + peak_mean, + yerr=peak_mean_error, + fmt="o", + markersize=10, + lw=3, + color="C0", + label="Peak Means" + ) - cond_p_0toLM = self._DCR_data["cond_p_0toLM"] - cond_p_LMto2LM = self._DCR_data["cond_p_LMtoL2M"] - cond_interpeak = self._DCR_data["cond_interpeak"] + ax.plot(peak_position_norm, + Linear(peak_position_norm, + G, + x_0, + ), + color="C0", + linestyle="--", + lw=3, + markersize=10, + label = "Linear Fit: \n $Q_{{Ped}}$ = {:s} $\pm$ {:s} bins \n $G$ = {:s} $\pm$ {:s} bins".format( + LatexFormat(x_0), + LatexFormat(dx_0), + LatexFormat(G), + LatexFormat(dG), + + ), + ) - int_p_0toLM = self._DCR_data["int_p_0toLM"] - dint_p_0toLM = self._DCR_data["dint_p_0toLM"] - int_p_LMto2LM = self._DCR_data["int_p_LMto2LM"] - dint_p_LMto2LM = self._DCR_data["dint_p_LMto2LM"] - mean_p_interpeak = self._DCR_data["mean_p_interpeak"] - dmean_p_interpeak = self._DCR_data["dmean_p_interpeak"] - + ax.set_xlabel("$k$ [n.p.e]", fontsize=self._plot_fontsize) + ax.set_ylabel("$\\langle Q_{k} \\rangle$ [bins]", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) + ax.tick_params(axis="y", labelsize=self._plot_fontsize) + ax.legend(fontsize=self._plot_legendfontsize) + + + + + def PlotDCR(self, ax): + + x_0 = self._prefit_values["x_0"] + G = self._prefit_values["G"] + DCR = self._prefit_values["DCR"] + dDCR = self._prefit_errors["DCR"] + + bin_numbers_norm = np.linspace(0,1,1000) + density = self._hist_data["k2PDF"](bin_numbers_norm) + density_errors = self._hist_data["k2PDF_err"](bin_numbers_norm) + k_DC_min = self._hist_data["k_DC_min"] + + cond_02Min = (bin_numbers_norm>=0) & (bin_numbers_norm<k_DC_min) + cond_Min22Min = (bin_numbers_norm>=k_DC_min) & (bin_numbers_norm<min(2*k_DC_min, 1)) + + ax.fill_between( - x_dc_kde[cond_p_0toLM], - y_dc_kde[cond_p_0toLM], + bin_numbers_norm[cond_02Min], + density[cond_02Min], color='none', hatch="///", edgecolor="b", - label = r"$I_{{0 \rightarrow x_{{min}}}}$ = {:s} $\pm$ {:s}".format(self.LatexFormat(int_p_0toLM), - self.LatexFormat(dint_p_0toLM) ) - ) + label = "$P_{0}$") - ax.fill_between( - x_dc_kde[cond_p_LMto2LM], - y_dc_kde[cond_p_LMto2LM], - color='none', - hatch="///", - edgecolor="r", - label = r"$I_{{x_{{min}} \rightarrow 2x_{{min}}}}$ = {:s} $\pm$ {:s}".format(self.LatexFormat(int_p_LMto2LM), - self.LatexFormat(dint_p_LMto2LM) ) - ) ax.fill_between( - x_dc_kde[cond_interpeak], - y_dc_kde[cond_interpeak], + bin_numbers_norm[cond_Min22Min], + density[cond_Min22Min], color='none', - hatch="xxx", - edgecolor="g", - label = r"$<I_{{x_{{min}} - x_{{lim}} \rightarrow x_{{min}} + x_{{lim}} }}>$ = {:s} $\pm$ {:s}".format( - self.LatexFormat(mean_p_interpeak), - self.LatexFormat(dmean_p_interpeak) ) - ) - ax.plot(x_dc_kde, - y_dc_kde, - linestyle="-", - color="purple", - label="KDE, 95% Confidence" - ) + hatch="///", + edgecolor="r", + label = "$P_{1}$") - ax.fill_between(x_dc_kde, - y1=y_dc_kde - 1.96*y_dc_kde_err, - y2=y_dc_kde + 1.96*y_dc_kde_err, - alpha=0.2, + ax.axvline(x=k_DC_min, color="green", lw=2, label="$k_{min}$") + + + ax.plot(bin_numbers_norm, + density, + label="KDE", + color="purple", + lw=5) + + ax.fill_between(bin_numbers_norm, + y1=density - 1.96*density_errors, + y2=density + 1.96*density_errors, + alpha=0.3, color="purple", - label="KDE, 95% Confidence" - ) + label="KDE, 95% Confidence") - ax.set_title("Dark Count Rate \n DCR = {0} $\pm$ {1}".format( - self.LatexFormat(self._DCR_data["fit_DCR"]), - self.LatexFormat(self._DCR_data["fit_DCR_err"])), - fontsize=self._plot_fontsize) - ax.set_xlabel("$PH_{norm, est}$", fontsize=self._plot_fontsize) + ax.set_xlabel("$k$ [n.p.e]", fontsize=self._plot_fontsize) ax.grid(which="both") - ax.set_ylabel("$\\frac{dp_{DCR}}{PH_{norm, est}}$", fontsize=self._plot_fontsize) - ax.tick_params(axis="x", labelsize=self._plot_fontsize) + ax.set_ylabel("$f_{k}(k)$ [$k^{-1}$]", fontsize=self._plot_fontsize) + ax.tick_params(axis="x", labelsize=self._plot_fontsize, rotation=45) ax.tick_params(axis="y", labelsize=self._plot_fontsize) - ax.legend(fontsize=max(10, self._plot_fontsize//1.5)) + ax.legend(title="$DCR$ = {:s} \n $\pm$ {:s} MHz".format(LatexFormat(DCR*1e3), + LatexFormat(dDCR*1e3)), + fontsize=self._plot_legendfontsize, + title_fontsize=self._plot_legendfontsize + ) + ax.set_xlim([0,1]) ax.set_yscale("log") - - - - - - def PlotFit(self, - figsize=(10.5,10.5), - labelsize=None, - ticksize=None, - titlesize=None, - legendsize=None, - title=None, - xlabel = None, - scaled=False, - save_directory=None, - y_limits = [None, None], - residual_limits = [-5, 5], - linewidth_main = 5, - x_limits = [None, None], - display=True - ): - - - if(labelsize is None): - labelsize=self._plot_fontsize - - if(ticksize is None): - ticksize=self._plot_fontsize - - if(titlesize is None): - titlesize = self._plot_fontsize - - if(legendsize is None): - legendsize = max(10, self._plot_fontsize//1.5) - - if(scaled): - x = self._GD_data["x_s"] - y = self._GD_data["y_s"] - y_err = self._GD_data["y_err_s"] - y_hat = self.GetModelIQR(self._GD_data["x_s"]) - if(xlabel is None): - xlabel = "IQR Normalised Charge Units [Q.U.]" - else: - x = self._GD_data["x"] - y = self._GD_data["y"] - y_err = self._GD_data["y_err"] - y_hat = self.GetModel(self._GD_data["x"]) - if(xlabel is None): - xlabel = "Input Charge Units [Q.U.]" - - - fig = plt.figure(figsize=figsize) - gs = gridspec.GridSpec(2, 1, height_ratios=[2, 1]) - ax0 = plt.subplot(gs[0]) - ax0.plot(x, y, label="Data", lw=5, color="C0") - ax0.plot(x, y_hat, linestyle="--", label="Model", lw=5, color="C1") - ax0.set_yscale("log") - ax0.set_xlabel("$\\frac{dp}{dPH}$", fontsize=labelsize) - ax0.tick_params(axis="x", labelsize=ticksize) - ax0.tick_params(axis="y", labelsize=ticksize) - ax0.set_ylim(y_limits) - ax0.set_xlim(x_limits) - if(title is not None): - ax0.set_title(title, fontsize=titlesize) - - ax0.grid(which="both") - ax0.legend(fontsize=legendsize) - - - ax1 = plt.subplot(gs[1], sharex = ax0) - ax1.scatter(x, (y - y_hat)/(y_err), color="C1") - - - ax1.tick_params(axis="x", labelsize=ticksize) - ax1.tick_params(axis="y", labelsize=ticksize) - ax1.set_xlabel(xlabel, fontsize=labelsize) - ax1.set_ylim(residual_limits) - ax1.axhline(y=-1.0, color="purple", lw=2.5, linestyle="--") - ax1.axhline(y=1.0, color="purple", lw=2.5, linestyle="--") - ax1.tick_params(axis="x", labelsize=self._plot_fontsize) - ax1.tick_params(axis="y", labelsize=self._plot_fontsize) - ax1.grid(which="both") - - fig.tight_layout() - - fig.subplots_adjust(hspace=.0) - if(save_directory is not None): - print("Saving figure to {0}...".format(save_directory)) - fig.savefig(save_directory) - if(display): - plt.pause(0.01) - fig.show() - else: - plt.close(fig) - - - def PlotSummary(self, display=True, save_directory=None): fig = plt.figure(figsize=(20,40)) @@ -1313,14 +597,14 @@ class PeakOTron: self.PlotOriginalHistogram(ax0) ax1 = fig.add_subplot(gs[0,1]) - self.PlotKDE(ax1) + self.PlotDensity(ax1) - ax2 = fig.add_subplot(gs[1,:]) - self.PlotPeaks(ax2) - - ax3 = fig.add_subplot(gs[2,0]) + ax3 = fig.add_subplot(gs[1,0]) self.PlotGenPois(ax3) + ax2 = fig.add_subplot(gs[1,:]) + self.PlotPeaks(ax2) + ax4 = fig.add_subplot(gs[2,1]) self.PlotSigmaEst(ax4) @@ -1335,948 +619,685 @@ class PeakOTron: fig.show() else: plt.close(fig) - - - def GetModel(self, x): - return self.DRM(x, **self._fit_values) - - def GetModelIQR(self, x): - return self.DRM(x, **self._fit_values_s) - - - def GetOriginalDistribution(self): - return _self._GD_data["x"], self._GD_data["y"] - + + def GetFitResults(self): return self._fit_values, self._fit_errors - def Failed(self): - return self._failed - - - ## PREFIT + def GetPrefitResults(self): + return self._prefit_values, self._prefit_errors - - def GetHistAndPeaks(self, - data, - bw, - peak_dist_factor, - peak_width_factor, - peak_ppf, - peak_prominence, - bin_method, - n_bootstrap, - n_bootstrap_kde, - bandwidth_kde, - kernel_kde, - alpha - - ): - - - self.scaler = RobustScaler() - data_s = np.squeeze(self.scaler.fit_transform(data.reshape(-1,1))) - - if(bw is None): - - ppf = self.EmpiricalPPF(data_s) - - if(bin_method == "knuth"): - bw_s = knuth_bin_width(data_s[data_s<ppf(alpha)]) - elif(bin_method=="freedman"): - bw_s = freedman_bin_width(data_s[data_s<ppf(alpha)]) - elif(bin_method=="scott"): - bw_s = scott_bin_width(data_s[data_s<ppf(alpha)]) - else: - raise Exception ("Please specify a bin width by setting 'bw' or choose a method from 'knuth', 'freedman' or 'scott'") + + def PlotFit(self, + figsize=(10.0,10.0), + labelsize=None, + ticksize=None, + titlesize=None, + legendsize=None, + title=None, + xlabel = None, + scaled=False, + save_directory=None, + data_label=None, + y_limits = [None, None], + residual_limits = [-5, 5], + residualticksize=None, + linewidth_main = 5, + x_limits = [None, None], + display=True, + prefit=False + ): - nbins_s = np.ceil((data_s.max() - data_s.min()) / bw_s) - nbins_s = max(1, nbins_s) - bins_s = data_s.min() + bw_s * np.arange(nbins_s + 1) - - - bw = bw_s*self.scaler.scale_[0] - nbins = np.ceil((data.max() - data.min()) / bw) - nbins = max(1, nbins) - bins = data.min() + bw * np.arange(nbins + 1) + if(labelsize is None): + labelsize=self._plot_fontsize - - else: + if(ticksize is None): + ticksize=self._plot_fontsize + + if(titlesize is None): + titlesize = self._plot_fontsize - bw_s = bw/self.scaler.scale_[0] + if(legendsize is None): + legendsize = self._plot_legendfontsize - nbins = np.ceil((data.max() - data.min()) / bw) - nbins = max(1, nbins) - bins = data.min() + bw * np.arange(nbins + 1) - - nbins_s = np.ceil((data_s.max() - data_s.min()) / bw_s) - nbins_s = max(1, nbins_s) - bins_s = data_s.min() + bw_s * np.arange(nbins_s + 1) - - - - - if(nbins<50): - print("Binning with bw = {:3.3E} produced only {:d} bins, less than limit of 50 bins. Setting fit fail status and continuing...".format(bw, nbins)) - self._failed = True - return + if(residualticksize is None): + residualticksize = int(0.8*self._plot_fontsize) + + x = self._hist_data["bin_centres"] + y = self._hist_data["density_orig"] + y_err = self._hist_data["density_orig_error"] + y_hat = self.GetModel(x, prefit) + chi2, ndf = self.GetChi2(prefit) - #Calculate histogram information + if(xlabel is None): + xlabel = "Q" - y_N, x = np.histogram(data, bins=bins, density=False) - - N = np.sum(y_N) - - y = y_N/N/bw - - y_err = y*np.sqrt(1/y_N + 1/N) - - x = (x[:-1] + x[1:])/2. + fig = plt.figure(figsize=figsize) + gs = gridspec.GridSpec(2, 1, height_ratios=[2, 1]) + ax0 = plt.subplot(gs[0]) + if(data_label is None): + data_label = "Histogram" + ax0.plot(x, y, label=data_label, lw=5, color="C0") + ax0.plot(x, y_hat, linestyle="--", label="Model", lw=5, color="C1") + ax0.plot([], [], ' ', label="$\\frac{{\\chi^{{2}}}}{{NDF}}$ = {:s}".format(LatexFormat(chi2/ndf))) - - y_N_s, x_s = np.histogram(data_s, bins=bins_s, density=False) - - N_s = np.sum(y_N_s) - - y_s = y_N_s/N_s/bw_s - - y_err_s = y_s*np.sqrt(1/y_N_s + 1/N_s) + ax0.set_ylabel("$f_{Q}(Q)$ [$Q^{-1}$]", fontsize=labelsize) + ax0.tick_params(axis="y", labelsize=ticksize) - x_s = (x_s[:-1] + x_s[1:])/2. - - - try: + if(y_limits[0] is None): + y_limits[0] = np.min(y[y>0]) + ax0.set_ylim(y_limits) + ax0.set_xlim(x_limits) + if(title is not None): + ax0.set_title(title, fontsize=titlesize) - x_kde_s, y_kde_s, y_kde_err_s, _, = self.BootstrapKDE(data_s, - kernel=kernel_kde, - bw=bandwidth_kde, - n_samples=n_bootstrap_kde, - alpha=alpha - ) + ax0.grid(which="both") + + ax0.set_yscale("log") + ax0.legend(fontsize=legendsize) + - f_lin_kde_s = interp1d(x_kde_s, np.arange(len(x_kde_s)), fill_value='extrapolate') + ax1 = plt.subplot(gs[1], sharex = ax0) + ax1.scatter(x, (y - y_hat)/(y_err), color="C1") - - except: - print("Initial KDE failed. Setting fit fail status and continuing...") - self._failed = True - return - - + ax1.tick_params(axis="x", labelsize=ticksize, rotation=45) + ax1.tick_params(axis="y", labelsize=ticksize) + ax1.set_ylabel("$Residuals$", fontsize=labelsize) + ax1.set_xlabel(xlabel, fontsize=labelsize) + ax1.set_ylim(residual_limits) + ax1.set_yticks(np.arange(int(np.floor(np.min(residual_limits))), + int(np.ceil(np.max(residual_limits))))) + ax1.axhline(y=-1.0, color="purple", lw=2.5, linestyle="--") + ax1.axhline(y=1.0, color="purple", lw=2.5, linestyle="--") + ax1.tick_params(axis="x", labelsize=ticksize) + ax1.tick_params(axis="y", labelsize=residualticksize) + ax1.grid(which="both") + - - est_gain_s = self.FFTGain(x_kde_s, y_kde_s) + fig.tight_layout() - est_gain_lin = abs(f_lin_kde_s(est_gain_s) - f_lin_kde_s(0)) - - - peaks, properties = find_peaks(y_kde_s, - distance=peak_dist_factor*est_gain_lin, - prominence=peak_prominence - ) - - - - - - if(len(peaks)<3): - print("Not enough peaks found with current distance criterion to fit. Setting fit fail status and continuing..") - self._failed=True - return - - - temp_widths = np.asarray(peak_widths(y_kde_s, peaks, rel_height=peak_width_factor)) - temp_widths[2:] = x_kde_s[temp_widths[2:].astype(int)] - - x_peaks_s = x_kde_s[peaks] - y_peaks_s = y_kde_s[peaks] - y_peaks_err_s = y_kde_err_s[peaks] - x_widths_s = temp_widths[3] - temp_widths[2] + mf = ScalarFormatter(useMathText=True) + mf.set_powerlimits((-2,2)) + plt.gca().xaxis.set_major_formatter(mf) + offset = ax1.xaxis.get_offset_text() + offset.set_size(int(0.8*ticksize)) - pedestal_s = x_kde_s[peaks][0] + + fig.subplots_adjust(hspace=.0) + if(save_directory is not None): + print("Saving figure to {0}...".format(save_directory)) + fig.savefig(save_directory) + if(display): + plt.pause(0.01) + fig.show() + else: + plt.close(fig) - - est_mu_s, std_err_mu_s, _ = self.Bootstrap(data_s-pedestal_s, - self.EstMu, - n_samples=n_bootstrap) + def Fit(self, data, **kwargs): - est_lbda_s, std_err_lbda_s, _ = self.Bootstrap(data_s - pedestal_s, - self.EstLbda, - n_samples=n_bootstrap) + self.Init() - - - _, std_err_gain_s, _ = self.Bootstrap(data_s - pedestal_s, - self.EstGain, - n_samples=n_bootstrap) - - - self._peak_data["x_peak_s"] = [] - self._peak_data["y_peak_s"] = [] - self._peak_data["y_peak_err_s"] = [] - self._peak_data["n_peak_s"] = [] - self._peak_data["x_width_s"] = [] - - if(peak_ppf is not None): - peak_threshold = max(3, self.GPoisPPF(peak_ppf, est_mu_s, est_lbda_s, self._max_n_peaks)) - if(self._verbose): - print("For {:3.3}% of distribution, accepting all peaks below {:d}".format(peak_ppf*100.0, peak_threshold)) - else: - peak_threshold = 0 - print("Accepting all peaks.") - - n_valid_peaks = 0 - for x_i, (y_peak, y_peak_err, x_peak, x_width) in enumerate(zip(y_peaks_s, y_peaks_err_s, x_peaks_s, x_widths_s)): + if not set(kwargs.keys()).issubset(self._fit_kwargs.keys()): + wrong_keys = list(set(kwargs.keys()).difference(set(self._fit_kwargs.keys()))) - data_peak_s = self.SelectRange(data_s, x_peak-x_width/2, x_peak+x_width/2) + raise Exception ("Arguments {:s} not recognised.".format(",".join(wrong_keys))) + + if not "tau" in kwargs.keys(): + raise Exception ("Please provide tau (slow component of SiPM pulse) in nanoseconds.") - N_evt_peak = len(data_peak_s) + if not "t_0" in kwargs.keys(): + raise Exception ("Please provide t_0 (integration region before start of SiPM pulse integration gate) in nanoseconds.") - if(x_i==0): - est_x_0_s, std_err_x_0_s, _ = self.Bootstrap(data_peak_s, - np.mean, - n_samples=n_bootstrap) + if not "t_gate" in kwargs.keys(): + raise Exception ("Please provide t_gate (length of SiPM pulse integration gate) in nanoseconds.") - - if(x_i<peak_threshold): - if(self._verbose): - print("Peak {:d} has {:d} events. Adding...".format(x_i, N_evt_peak)) - - self._peak_data["x_peak_s"].append(x_peak) - self._peak_data["y_peak_s"].append(y_peak) - self._peak_data["y_peak_err_s"].append(y_peak_err) - self._peak_data["n_peak_s"].append(x_i) - self._peak_data["x_width_s"].append(x_width) - n_valid_peaks+=1 - - - self._peak_data["x_peak_s"] = np.asarray(self._peak_data["x_peak_s"]) - self._peak_data["y_peak_s"] = np.asarray(self._peak_data["y_peak_s"]) - self._peak_data["y_peak_err_s"] = np.asarray(self._peak_data["y_peak_err_s"]) - self._peak_data["n_peak_s"] = np.asarray(self._peak_data["n_peak_s"]) - self._peak_data["x_width_s"] = np.asarray(self._peak_data["x_width_s"]) - - - self._GD_data["x"] = x - self._GD_data["y"] = y - self._GD_data["y_err"] = y_err - self._GD_data["data"] = data - - - self._GD_data["x_s"] = x_s - self._GD_data["y_s"] = y_s - self._GD_data["y_err_s"] = y_err_s - self._GD_data["data_s"] = data_s - self._GD_data["x_kde_s"] = x_kde_s - self._GD_data["y_kde_s"] = y_kde_s - self._GD_data["y_kde_err_s"] = y_kde_err_s + self._fit_kwargs.update(kwargs) - self._GD_data["fit_GP_mu"] = max(est_mu_s, self._eps) - self._GD_data["fit_GP_mu_err"] = std_err_mu_s - self._GD_data["fit_GP_lbda"] = min(1, max(est_lbda_s, self._eps)) - self._GD_data["fit_GP_lbda_err"] = std_err_lbda_s - self._GD_data["fit_G"] = est_gain_s - self._GD_data["fit_G_err"] = std_err_gain_s - self._GD_data["fit_x_0"] = est_x_0_s - self._GD_data["fit_x_0_err"] = std_err_x_0_s - self._GD_data["scaler"] = self.scaler - - - - def PreFitGenPoisToPeaks(self, ppf_mainfit, n_bootstrap): + self.GetPreFit(data, **self._fit_kwargs) - - ######## - #STEP 1 - ######## - - fit_lbda = self._GD_data["fit_GP_lbda"] - fit_dlbda = self._GD_data["fit_GP_lbda_err"] - fit_x_0 = self._GD_data["fit_x_0"] + data_bn = self._hist_data["bc2bn"](self._hist_data["data"]) + f_DRM = UnbinnedLH(DRM, data_bn, 1) + m_DRM = Minuit(f_DRM, + x_0 = self._prefit_values["x_0"], + G = self._prefit_values["G"], + mu = self._prefit_values["mu"], + lbda = self._prefit_values["lbda"], + sigma_0 = self._prefit_values["sigma_0"], + sigma_1 = self._prefit_values["sigma_1"], + tauAp = self._prefit_values["tauAp"], + pAp = self._prefit_values["pAp"], + DCR = self._prefit_values["DCR"], + tau = self._prefit_values["tau"], + t_gate = self._prefit_values["t_gate"], + t_0 = self._prefit_values["t_0"], + k_low = self._prefit_values["k_low"], + k_hi = self._prefit_values["k_hi"], + k_dcr_low = self._prefit_values["k_dcr_low"], + k_dcr_hi = self._prefit_values["k_dcr_hi"], + ) - fit_mu = self._GD_data["fit_GP_mu"] - fit_dmu = self._GD_data["fit_GP_mu_err"] - x_peak = self._peak_data["x_peak_s"] - n_peak = self._peak_data["n_peak_s"] - y_peak = self._peak_data["y_peak_s"] - y_peak_err = self._peak_data["y_peak_err_s"] + m_DRM.errors["x_0"] = self._prefit_errors["x_0"] + m_DRM.errors["G"] = self._prefit_errors["G"] + m_DRM.errors["mu"] = self._prefit_errors["mu"] + m_DRM.errors["lbda"] = self._prefit_errors["lbda"] + m_DRM.errors["sigma_0"] = self._prefit_errors["sigma_0"] + m_DRM.errors["sigma_1"] = self._prefit_errors["sigma_1"] + m_DRM.errors["tauAp"] = self._prefit_errors["tauAp"] + m_DRM.errors["pAp"] = self._prefit_errors["pAp"] + m_DRM.errors["DCR"] = self._prefit_errors["DCR"] - log_y_peak = self.Logify(y_peak) - dlog_y_peak = y_peak_err/y_peak - - fit_A_estspec = gpoisson.logpmf(n_peak, fit_mu, fit_lbda) - fit_A = np.nanmean(log_y_peak - fit_A_estspec) - fit_dA = np.nanmean(2*dlog_y_peak) - - - - - fit_dict_pois = { - "A": fit_A, - "mu":fit_mu, - "lbda":fit_lbda, - } - - fit_pois = Chi2Regression( - self.DummyLogGPois, - n_peak, - log_y_peak, - dlog_y_peak - ) - - - minuit_pois = Minuit(fit_pois, **fit_dict_pois) - minuit_pois.errordef=Minuit.LIKELIHOOD - minuit_pois.strategy=2 - + m_DRM.limits["x_0"] = (self._eps, float(self._hist_data["nbins"])) + m_DRM.limits["G"] = (self._eps, float(self._hist_data["nbins"])) - minuit_pois.errors["mu"] = fit_dmu - minuit_pois.errors["lbda"] = fit_dlbda + m_DRM.limits["mu"] = (self._eps, self._prefit_values["k_hi"]) - minuit_pois.limits["lbda"] = (self._eps, 1-self._eps) - minuit_pois.limits["mu"] = (self._eps, None) + m_DRM.limits["lbda"] = (self._eps, 1-self._eps) - minuit_pois.migrad(ncall= self._n_call_minuit, - iterate =self._n_iterations_minuit) - minuit_pois.hesse() + m_DRM.limits["sigma_0"] = (self._eps, float(self._hist_data["nbins"])) + m_DRM.limits["sigma_1"] = (self._eps, float(self._hist_data["nbins"])) - + m_DRM.limits["tauAp"] = (self._eps, + self._prefit_values["tau"]-self._eps) + m_DRM.limits["pAp"] = (self._eps, 1-self._eps) + m_DRM.limits["DCR"] = (self._eps, None) - if(not minuit_pois.valid): - if(self._verbose): - print('Minuit returned invalid for Generalised Poisson fit to peaks. Using basic estimated parameters instead...') - self._GD_data["fit_GP_mu"] = fit_mu - self._GD_data["fit_GP_mu_err"] = fit_dmu - self._GD_data["fit_GP_lbda"] = fit_lbda - self._GD_data["fit_GP_lbda_err"] = fit_dlbda - self._GD_data["fit_GP_A"] = fit_A - self._GD_data["fit_GP_A_err"] = fit_dA - - - - else: - self._GD_data["fit_GP_mu"] = minuit_pois.values["mu"] - self._GD_data["fit_GP_mu_err"] = minuit_pois.errors["mu"] - self._GD_data["fit_GP_lbda"] = minuit_pois.values["lbda"] - self._GD_data["fit_GP_lbda_err"] = minuit_pois.errors["lbda"] - self._GD_data["fit_GP_A"] = minuit_pois.values["A"] - self._GD_data["fit_GP_A_err"] = minuit_pois.errors["A"] - - - - k_low = 0 - k_hi = self.GPoisPPF(ppf_mainfit, - self._GD_data["fit_GP_mu"], - self._GD_data["fit_GP_lbda"], - self._max_n_peaks - ) - - self._GD_data["fit_GP_k_low"] = k_low - self._GD_data["fit_GP_k_hi"] = k_hi + if(self._fit_kwargs["tau_err"] is None): + m_DRM.fixed["tau"]=True + else: + m_DRM.fixed["tau"]=False + m_DRM.errors["tau"] = abs(self._prefit_errors["tau"]) + m_DRM.limits["tau"] = (max(self._eps, self._prefit_values["tau"]-self._prefit_errors["tau"]), + max(self._eps, self._prefit_values["tau"]+self._prefit_errors["tau"]) + ) + + if(self._fit_kwargs["t_gate_err"] is None): + m_DRM.fixed["t_gate"]=True + else: - - - if(self._GD_data["fit_GP_k_hi"]<2): - if(self._verbose): - print("Too few primary Geiger peaks to fit. Artificially increasing max number of peaks from {:d} to 2...".format(self._GD_data["fit_GP_k_hi"])) - self._GD_data["fit_GP_k_hi"] = max(self._GD_data["fit_GP_k_hi"], 2) + m_DRM.fixed["t_gate"]=False + m_DRM.errors["t_gate"] = abs(self._prefit_errors["t_gate"]) + m_DRM.limits["t_gate"] = (max(self._eps, self._prefit_values["t_gate"]-self._prefit_errors["t_gate"]), + max(self._eps, self._prefit_values["t_gate"]+self._prefit_errors["t_gate"]) + ) - elif(self._GD_data["fit_GP_k_hi"]>self._max_n_peaks): - if(self._verbose): - print("Too many primary Geiger peaks to fit. Artificially decreasing max number of peaks from {:d} to {:d}...".format(self._GD_data["fit_GP_k_hi"], - self._max_n_peaks)) - self._GD_data["fit_GP_k_hi"] = min(self._GD_data["fit_GP_k_hi"], self._max_n_peaks) + + if(self._fit_kwargs["t_0_err"] is None): + m_DRM.fixed["t_0"]=True + else: + m_DRM.fixed["t_0"]=False + m_DRM.errors["t_0"] = abs(self._prefit_errors["t_0"]) + m_DRM.limits["t_0"] = (max(self._eps, self._prefit_values["t_0"]-self._prefit_errors["t_0"]), + max(self._eps, self._prefit_values["t_0"]+self._prefit_errors["t_0"]) + ) + + + m_DRM.fixed["k_low"]=True + m_DRM.fixed["k_hi"]=True + m_DRM.fixed["k_dcr_low"]=True + m_DRM.fixed["k_dcr_hi"]=True - - - - def PreFitSigma(self, data, n_bootstrap): - + m_DRM.strategy=2 + m_DRM.errordef=m_DRM.LIKELIHOOD + m_DRM.simplex() + m_DRM.migrad(ncall = self._n_call_minuit, + iterate= self._n_iterations_minuit) + m_DRM.hesse() - peak_val = self._peak_data["n_peak_s"] - data_s = np.squeeze(self.scaler.transform(data.reshape(-1,1))) + self._fit_minuit = m_DRM - self._peak_data["peak_var_s"]=[] - self._peak_data["peak_var_err_s"]=[] - - cond_peak = np.ones(len(peak_val), bool) - for x_i, y_peak, x_peak, x_width in zip(self._peak_data["n_peak_s"], - self._peak_data["y_peak_s"], - self._peak_data["x_peak_s"], - self._peak_data["x_width_s"]): + _offset = self._hist_data["bc_min"] + _scale = self._hist_data["bw"] - data_range = self.SelectRange(data_s, x_peak - x_width/2, x_peak + x_width/2) - - try: - - - est_var, std_err_var, _ = self.Bootstrap(data_range, - np.var, - n_samples=n_bootstrap) + for key, value in m_DRM.values.to_dict().items(): + if(key=="x_0"): + self._fit_values[key] = _offset + value*_scale + elif(key=="G"): + self._fit_values[key] = value*_scale + elif(key=="sigma_0"): + self._fit_values[key] = value*_scale + elif(key=="sigma_1"): + self._fit_values[key] = value*_scale + else: + self._fit_values[key] = value + - self._peak_data["peak_var_s"].append(est_var) - self._peak_data["peak_var_err_s"].append(std_err_var) - cond_peak[x_i]=True - except: - cond_peak[x_i]=False - - - self._peak_data["peak_var_s"].append(None) - self._peak_data["peak_var_err_s"].append(None) - - if(sum(cond_peak)<3): - print("Fewer than 3 peaks had adequate statistics to determine peak width. Setting fit fail status...") - self._failed=True - return - - self._peak_data["cond_valid_peak"] = cond_peak - self._peak_data["peak_var_s"] = np.asarray(self._peak_data["peak_var_s"]) - self._peak_data["peak_var_err_s"] = np.asarray(self._peak_data["peak_var_err_s"]) - - n_peaks_select = self._peak_data["n_peak_s"][cond_peak] - peaks_var_select = self._peak_data["peak_var_s"][cond_peak] - peaks_var_err_select = self._peak_data["peak_var_err_s"][cond_peak] - - fit_lin_var = HuberRegression(self.DummyLinear, - n_peaks_select, - peaks_var_select, - peaks_var_err_select - ) + for key, value in m_DRM.errors.to_dict().items(): + if(key=="x_0"): + self._fit_errors[key] = value*_scale + elif(key=="G"): + self._fit_errors[key] = value*_scale + elif(key=="sigma_0"): + self._fit_errors[key] = value*_scale + elif(key=="sigma_1"): + self._fit_errors[key] = value*_scale + else: + self._fit_errors[key] = value + + + + _prefit_values_temp = self._prefit_values.copy() + _prefit_errors_temp = self._prefit_errors.copy() + + for key, value in _prefit_values_temp.items(): + if(key=="x_0"): + _prefit_values_temp[key] = _offset + value*_scale + elif(key=="G"): + _prefit_values_temp[key] = value*_scale + elif(key=="sigma_0"): + _prefit_values_temp[key] = value*_scale + elif(key=="sigma_1"): + _prefit_values_temp[key] = value*_scale + else: + _prefit_values_temp[key] = value + + for key, value in _prefit_errors_temp.items(): + if(key=="x_0"): + _prefit_errors_temp[key] = value*_scale + elif(key=="G"): + _prefit_errors_temp[key] = value*_scale + elif(key=="sigma_0"): + _prefit_errors_temp[key] = value*_scale + elif(key=="sigma_1"): + _prefit_errors_temp[key] = value*_scale + else: + _prefit_errors_temp[key] = value + self._prefit_values.update(_prefit_values_temp) + self._prefit_errors.update(_prefit_errors_temp) - m_var_temp = np.median(np.gradient(peaks_var_select, n_peaks_select)) - c_var_temp = peaks_var_select[np.argmin(peaks_var_select)] +# plt.figure() +# plt.plot(bin_centres, density_orig) +# plt.plot(bin_centres, DRM(bin_centres, **self._fit_values)) +# plt.show() - fit_dict_lin_var = { - "m": m_var_temp, - "c": c_var_temp, - } - - minuit_lin_var = Minuit(fit_lin_var, **fit_dict_lin_var) - minuit_lin_var.limits["m"] = (self._eps, None) + def GetModel(self, x, prefit=False): + if(prefit): + return DRM(x, **self._prefit_values) + else: + return DRM(x, **self._fit_values) - minuit_lin_var.strategy=2 - minuit_lin_var.migrad(ncall= self._n_call_minuit, - iterate =self._n_iterations_minuit) - minuit_lin_var.hesse() - - - self._GD_data["fit_var0"] = minuit_lin_var.values["c"] - self._GD_data["fit_var0_err"] = minuit_lin_var.errors["c"] - self._GD_data["fit_var1"] = minuit_lin_var.values["m"] - self._GD_data["fit_var1_err"] = minuit_lin_var.errors["m"] - - self._GD_data["fit_sigma0"] = np.sqrt(self._GD_data["fit_var0"]) - self._GD_data["fit_sigma0_err"] = (0.5/self._GD_data["fit_sigma0"])*self._GD_data["fit_var0_err"] - self._GD_data["fit_sigma1"] = np.sqrt(self._GD_data["fit_var1"]) - self._GD_data["fit_sigma1_err"] = (0.5/self._GD_data["fit_sigma1"])*self._GD_data["fit_var1_err"] - - - - - - def PreFitDCR(self, - data, - tau, - tgate, - r_fast, - t_0, - ppf_mainfit, - kernel_kde, - bandwidth_kde, - n_bootstrap_kde, - dcr_lim=0.05): - - - G = self._GD_data["fit_G"] - mu = self._GD_data["fit_GP_mu"] - lbda = self._GD_data["fit_GP_lbda"] - x_0 = self._GD_data["fit_x_0"] - - - data_norm = (np.squeeze(self.scaler.transform(data.reshape(-1,1))) - x_0)/G - - - try: - x_dc_kde, y_dc_kde, y_dc_kde_err, _ = self.BootstrapKDE( - data_norm, - kernel=kernel_kde, - bw=bandwidth_kde, - n_samples=n_bootstrap_kde - ) - except: - print("DCR KDE failed. Setting fit fail status and continuing...") - self._failed = True - return - + def GetPreFit(self, data, **kwargs): - cond_interpeak = (x_dc_kde>0) & (x_dc_kde<1) - x_dc_kde = x_dc_kde[cond_interpeak] - y_dc_kde = y_dc_kde[cond_interpeak] - y_dc_kde_err = y_dc_kde_err[cond_interpeak] - + + ###Process Bins + data, bw, nbins, bins = self.GetBins(data, kwargs["bw"], kwargs["bin_method"]) + +# data = np.random.choice(data, size=10000) + + counts, _ = np.histogram(data, bins=bins) + counts_error = np.sqrt(counts) + density_orig = counts/np.sum(counts)/bw + density_orig_error = density_orig*np.sqrt(1/counts + 1/np.sum(counts)) + + min_error = 1/np.sum(counts)/bw + bin_centres = (bins[:-1] + bins[1:])/2. + bin_numbers = np.arange(0, nbins) - - f_lin_kde_dc = interp1d(x_dc_kde, np.arange(0, len(x_dc_kde)), fill_value='extrapolate') - f_lin_kde_dc_inv = interp1d(np.arange(0, len(x_dc_kde)), x_dc_kde, fill_value='extrapolate') - f_log_kde_dc = interp1d(x_dc_kde, self.Logify(y_dc_kde), fill_value='extrapolate') - f_log_kde_upper_dc = interp1d(x_dc_kde, self.Logify(y_dc_kde + y_dc_kde_err), fill_value='extrapolate') - f_log_kde_lower_dc = interp1d(x_dc_kde, self.Logify(y_dc_kde - y_dc_kde_err), fill_value='extrapolate') - - - cond_inrange = (x_dc_kde>0) & (x_dc_kde<1) - x_dc_kde = x_dc_kde[cond_inrange] - y_dc_kde = y_dc_kde[cond_inrange] - y_dc_kde_err = y_dc_kde_err[cond_inrange] - - - x_dc_min = x_dc_kde[np.argmin(y_dc_kde)] - x_dc_lim_min_low = x_dc_min - dcr_lim - x_dc_lim_min_hi = x_dc_min + dcr_lim - x_dc_lim_low = 0 - x_dc_lim_mid = x_dc_min - x_dc_lim_hi = f_lin_kde_dc_inv(f_lin_kde_dc(0) + 2*abs(f_lin_kde_dc(x_dc_min) - f_lin_kde_dc(0))) + f_bc2bn = interp1d(bin_centres,bin_numbers, fill_value="extrapolate") + + f_bn2bc = interp1d(bin_numbers,bin_centres,fill_value="extrapolate") + data_bn = f_bc2bn(data) - cond_interpeak = (x_dc_kde> x_dc_lim_min_low) & (x_dc_kde<=x_dc_lim_min_hi) - cond_p_0toLM = (x_dc_kde> x_dc_lim_low) & (x_dc_kde<=x_dc_lim_mid) - cond_p_LMto2LM = (x_dc_kde> x_dc_lim_mid) & (x_dc_kde<=x_dc_lim_hi) + ###Perform KDE smoothing + bin_numbers_kde, density_kde, density_kde_err, _ = BootstrapKDE(data_bn, + n_bootstrap=self._n_bootstrap, + bw_limits=(0.01,None) + ) + cumint = cumtrapz(density_kde/bw, bin_numbers_kde, initial=0) + cumint = cumint/np.max(cumint) + + + f_bn2CDF = interp1d( bin_numbers_kde, cumint, fill_value = (0,1), bounds_error=False ) + f_CDF2bn = interp1d( cumint, bin_numbers_kde, fill_value = (bin_numbers_kde[0], bin_numbers_kde[-1]), bounds_error=False) + f_bn2PDF = interp1d(bin_numbers_kde, density_kde/bw, fill_value=(0, 0), bounds_error=False) + f_bn2PDF_err = interp1d(bin_numbers_kde, np.where(density_kde_err/bw>min_error, density_kde_err/bw, min_error),fill_value=(min_error, min_error),bounds_error=False) - mean_p_interpeak = (quad(lambda x: np.exp(f_log_kde_dc(x)), - x_dc_lim_min_low, - x_dc_lim_min_hi)[0])/(2*dcr_lim) + density = f_bn2PDF(bin_numbers) + density_error = f_bn2PDF_err(bin_numbers) - mean_p_interpeak_upper = (quad(lambda x: np.exp(f_log_kde_upper_dc(x)), - x_dc_lim_min_low, - x_dc_lim_min_hi)[0])/(2*dcr_lim) + + ###Perform FFT, Get Gain Estimate and Background Subtraction - mean_p_interpeak_lower = (quad(lambda x: np.exp(f_log_kde_lower_dc(x)), - x_dc_lim_min_low, - x_dc_lim_min_hi)[0])/(2*dcr_lim) + fhat = np.fft.fft(density) #computes the fft + psd = fhat * np.conj(fhat)/nbins + - dmean_p_interpeak = abs(mean_p_interpeak_upper - mean_p_interpeak_lower) + fft_freq_orig = (1/nbins) * np.arange(nbins) #frequency array + idxs_half = np.arange(1, np.floor(nbins/2), dtype=np.int32) + + + fft_amplitude = np.abs(psd[idxs_half]) + fft_freq = fft_freq_orig[idxs_half] + idxs_fft_peaks, _= find_peaks(fft_amplitude) + fft_freq_peaks = fft_freq[idxs_fft_peaks] + fft_amplitude_peaks = fft_amplitude[idxs_fft_peaks] + _idx_min = np.argmax(fft_amplitude_peaks) + inv_G_fft = fft_freq_peaks[_idx_min] + G_fft = 1/inv_G_fft + + + density_bgsub = np.fft.ifft(np.where(fft_freq_orig<inv_G_fft, 0, fhat)) + + + ###Find peaks + + idxs_peaks, _ = find_peaks(density_bgsub, + distance=kwargs["peak_dist_factor"]*G_fft) + idxs_peak_widths = np.vstack(peak_widths(density_bgsub, + idxs_peaks, + rel_height=kwargs["peak_width_factor"])[2:]).T.astype(int) - int_p_0toLM = quad(lambda x: np.exp(f_log_kde_dc(x)), - x_dc_lim_low, - x_dc_lim_mid)[0] + - int_p_0toLM_upper = quad(lambda x: np.exp(f_log_kde_upper_dc(x)), - x_dc_lim_low, - x_dc_lim_mid)[0] - int_p_0toLM_lower = quad(lambda x: np.exp(f_log_kde_lower_dc(x)), - x_dc_lim_low, - x_dc_lim_mid)[0] + x_0_est = self.GetEstPedestal(data_bn, G_fft) - dint_p_0toLM = abs(int_p_0toLM_upper - int_p_0toLM_lower) + Q_min = bin_numbers[idxs_peaks][np.argmin(abs(bin_numbers[idxs_peaks] - x_0_est))] + if(kwargs["alpha_peaks"] is not None): + Q_max = f_CDF2bn(kwargs["alpha_peaks"]) + else: + Q_max = np.max(bin_numbers) + _idxs_sel = (bin_numbers[idxs_peaks]>=Q_min) & (bin_numbers[idxs_peaks]<=Q_max) + + idxs_peaks = idxs_peaks[_idxs_sel] + idxs_peak_widths = idxs_peak_widths[_idxs_sel] + _idxs_sort = np.argsort(idxs_peaks) - int_p_LMto2LM = quad(lambda x: np.exp(f_log_kde_dc(x)), - x_dc_lim_mid, - x_dc_lim_hi)[0] + idxs_peaks = idxs_peaks[_idxs_sort] + idxs_peak_widths = idxs_peak_widths[_idxs_sort] - int_p_LMto2LM_upper = quad(lambda x: np.exp(f_log_kde_upper_dc(x)), - x_dc_lim_mid, - x_dc_lim_hi)[0] - int_p_LMto2LM_lower = quad(lambda x: np.exp(f_log_kde_lower_dc(x)), - x_dc_lim_mid, - x_dc_lim_hi)[0] - dint_p_LMto2LM = abs(int_p_LMto2LM_upper - int_p_LMto2LM_lower) + peak_position = bin_numbers[idxs_peaks] + peak_position_norm = (peak_position - peak_position[0])/G_fft + peak_position_lower = bin_numbers[idxs_peak_widths[:,0]] + peak_position_upper = bin_numbers[idxs_peak_widths[:,1]] + peak_height = density[idxs_peaks] + peak_height_lower = density[idxs_peak_widths[:,0]] + peak_height_upper = density[idxs_peak_widths[:,1]] + peak_mean = np.empty(len(peak_position)) + peak_mean_error = np.empty(len(peak_position)) + peak_variance = np.empty(len(peak_position)) + peak_variance_error = np.empty(len(peak_position)) + peak_std_deviation = np.empty(len(peak_position)) + peak_std_deviation_error = np.empty(len(peak_position)) + peak_skewness = np.empty(len(peak_position)) + peak_skewness_error = np.empty(len(peak_position)) + peak_kurtosis = np.empty(len(peak_position)) + peak_kurtosis_error = np.empty(len(peak_position)) + + for peak_i, (pp, ppl, ppu) in enumerate(zip( + peak_position, + peak_position_lower, + peak_position_upper + )): - - int_p = int_p_0toLM + 0.5*int_p_LMto2LM - dint_p = np.sqrt(dint_p_0toLM**2 + 0.5*dint_p_LMto2LM**2) + + + data_peak = SelectRangeNumba(data_bn, ppl, ppu) + try: + mean, dmean, _ = Bootstrap(data_peak, np.mean, self._n_bootstrap) + except: + mean, dmean = np.nan, np.nan + + try: + var, dvar, _ = Bootstrap(data_peak, np.var, self._n_bootstrap) + std, dstd = np.sqrt(var), (0.5/np.sqrt(var))*var + except: + var, dvar = np.nan, np.nan + std, dstd = np.nan, np.nan + + try: + skw, dskw, _ = Bootstrap(data_peak, sp_skew, self._n_bootstrap) + except: + skw, dskw = np.nan, np.nan + + try: + krt, dkrt, _ = Bootstrap(data_peak, sp_kurt, self._n_bootstrap) + except: + krt, dkrt = np.nan, np.nan + + + peak_mean[peak_i] = mean + peak_mean_error[peak_i] = dmean + peak_variance[peak_i] = var + peak_variance_error[peak_i] = dvar + peak_std_deviation[peak_i] = std + peak_std_deviation_error[peak_i] = dstd + peak_skewness[peak_i]=skw + peak_skewness_error[peak_i] = dskw + peak_kurtosis[peak_i] = krt + peak_kurtosis_error[peak_i] = dkrt + + + cond_sel_peak_var = (~np.isnan(peak_variance) & ~np.isnan(peak_variance_error)) + cond_sel_peak_mean = (~np.isnan(peak_mean) & ~np.isnan(peak_mean_error)) + + f_var = HuberRegression( + Linear, + peak_position_norm[cond_sel_peak_var], + peak_variance[cond_sel_peak_var], + peak_variance_error[cond_sel_peak_var], + ) + + f_mean = HuberRegression( + Linear, + peak_position_norm[cond_sel_peak_mean], + peak_mean[cond_sel_peak_mean], + peak_mean_error[cond_sel_peak_mean], + ) + + + m_var = Minuit(f_var, + m=np.mean(np.gradient(peak_variance[cond_sel_peak_var])), + c=peak_variance[cond_sel_peak_var][0]) + m_var.migrad() + m_var.hesse() - - DCR = mean_p_interpeak/(max(int_p, self._eps)*4*tau) - dDCR = DCR*np.sqrt((dmean_p_interpeak/max(mean_p_interpeak, self._eps))**2 + (dint_p/max(int_p, self._eps))**2) - - - mu_dcr= DCR*(abs(t_0) + tgate) - k_dcr_low = 0 - k_dcr_hi = self.GPoisPPF(ppf_mainfit, - mu_dcr, - self._GD_data["fit_GP_lbda"], - self._max_n_dcr_peaks - ) + + m_mean = Minuit(f_mean, + m=np.mean(np.gradient(peak_mean[cond_sel_peak_mean])), + c=peak_mean[cond_sel_peak_mean][0]) + m_mean.migrad() + m_mean.hesse() + x_0 = m_mean.values["c"] + G = m_mean.values["m"] + dx_0 = m_mean.errors["c"] + dG = m_mean.errors["m"] + sigma2_0 = m_var.values["c"] + sigma2_1 = m_var.values["m"] + dsigma2_0 = m_var.errors["c"] + dsigma2_1 = m_var.errors["m"] - self._DCR_data["x_dc_kde"] = x_dc_kde - self._DCR_data["y_dc_kde"] = y_dc_kde - self._DCR_data["y_dc_kde_err"] = y_dc_kde_err + sigma_0 = np.sqrt(sigma2_0) + sigma_1 = np.sqrt(sigma2_1) + dsigma_0 = (0.5/sigma_0)*dsigma2_0 + dsigma_1 = (0.5/sigma_1)*dsigma2_1 - self._DCR_data["cond_p_0toLM"] = cond_p_0toLM - self._DCR_data["cond_p_LMtoL2M"] = cond_p_LMto2LM - self._DCR_data["cond_interpeak"] = cond_interpeak - - self._DCR_data["int_p_0toLM"] = int_p_0toLM - self._DCR_data["dint_p_0toLM"] = dint_p_0toLM - self._DCR_data["int_p_LMto2LM"] = int_p_LMto2LM - self._DCR_data["dint_p_LMto2LM"] = dint_p_LMto2LM - self._DCR_data["mean_p_interpeak"] = mean_p_interpeak - self._DCR_data["dmean_p_interpeak"] = dmean_p_interpeak + + + mu, dmu, _ = Bootstrap((data_bn - x_0)/G, + lambda _data: GP_muGP(*GetStats(_data)), + self._n_bootstrap) + lbda, dlbda, _ = Bootstrap((data_bn - x_0)/G, + lambda _data: GP_lbda(*GetStats(_data)), + self._n_bootstrap) - self._DCR_data["fit_tau"] = tau - self._DCR_data["fit_tgate"] = tgate - self._DCR_data["fit_t_0"] = t_0 - self._DCR_data["fit_DCR"] = DCR - self._DCR_data["fit_DCR_err"] = dDCR - self._DCR_data["fit_dcr_k_low"] = k_dcr_low - self._DCR_data["fit_dcr_k_hi"] = k_dcr_hi - if(r_fast is None): - self._DCR_data["fit_r_fast"] = 0 - else: - self._DCR_data["fit_r_fast"] = r_fast - - if(self._DCR_data["fit_dcr_k_hi"]<2): - print("Too few dark peaks to fit. Artificially increasing max number of peaks from {:d} to 2...".format(self._DCR_data["fit_dcr_k_hi"])) - self._DCR_data["fit_dcr_k_hi"] = max(self._DCR_data["fit_dcr_k_hi"], 2) - - elif(self._DCR_data["fit_dcr_k_hi"]>self._max_n_peaks): - print("Too many dark peaks to fit. Artificially decreasing max number of peaks from {:d} to {:d}...".format(self._DCR_data["fit_dcr_k_hi"], - self._max_n_peaks)) - self._DCR_data["fit_dcr_k_hi"] = min(self._DCR_data["fit_dcr_k_hi"], self._max_n_dcr_peaks) + k_low = 0 + k_hi = poisson.ppf(kwargs["alpha_fit"], mu) + + f_k2PDF = interp1d((bin_numbers_kde-x_0)/G, density_kde*G, fill_value=(0,0), bounds_error=False) + f_k2PDF_err = interp1d((bin_numbers_kde-x_0)/G, density_kde_err*G, fill_value=(0,0), bounds_error=False) + + f_k2PDF = interp1d((bin_numbers_kde-x_0)/G, density_kde*G, fill_value=(0,0), bounds_error=False) + f_k2PDF_err = interp1d((bin_numbers_kde-x_0)/G, density_kde_err*G, fill_value=(0,0), bounds_error=False) - - def InitFit(self, - data, - bw, - bin_method, - tau, - t_0, - r_fast, - tgate, - n_bootstrap, - n_bootstrap_kde, - kernel_kde, - bandwidth_kde, - peak_dist_factor, - peak_width_factor, - peak_ppf, - peak_prominence, - ppf_mainfit, - alpha - ): + m_k2PDF = Minuit(lambda k: f_k2PDF(k), k=0.5) + m_k2PDF.limits["k"] = (0,1) + m_k2PDF.migrad() + m_k2PDF.hesse() - + k_DC_min = m_k2PDF.values["k"] - if(self._is_histogram): - data = np.array(list(chain.from_iterable([[x]*int(y) for x,y in zip(data[:,0], data[:,1])]))) - + fk_DC_min = f_k2PDF(k_DC_min) + dfk_DC_min = f_k2PDF_err(k_DC_min) - if(not self._failed): - if(self._verbose): - print("Getting histogram and peak values...") - - self.GetHistAndPeaks(data, - bw, - peak_dist_factor, - peak_width_factor, - peak_ppf, - peak_prominence, - bin_method, - n_bootstrap, - n_bootstrap_kde, - bandwidth_kde, - kernel_kde, - alpha) - - if(not self._failed): - if(self._verbose): - print("Fitting Generalised Poisson distribution...") - self.PreFitGenPoisToPeaks(ppf_mainfit, n_bootstrap) - - if(not self._failed): - if(self._verbose): - print("Fitting peak widths via bootstrap resampling...") - self.PreFitSigma(data, n_bootstrap) - - if(not self._failed): - if(self._verbose): - print("Estimating DCR from interpeak region...") - - self.PreFitDCR(data, - tau, - tgate, - r_fast, - t_0, - ppf_mainfit, - kernel_kde, - bandwidth_kde, - n_bootstrap_kde) - if(not self._failed): - if(self._verbose): - print("Prefitting complete.") - - - - - - # FIT + P_int_02Min = quad(lambda k: f_k2PDF(k), 0, k_DC_min)[0] + dP_int_02Min = quad(lambda k: 2*f_k2PDF_err(k), 0, k_DC_min)[0] - def Fit(self, - data, - **kwargs): + P_int_Min22Min = quad(lambda k: f_k2PDF(k), k_DC_min, min(2*k_DC_min, 1))[0] + dP_int_Min22Min = quad(lambda k: 2*f_k2PDF_err(k), k_DC_min, min(2*k_DC_min, 1))[0] + P_sum = P_int_02Min + 0.5*P_int_Min22Min + dP_sum = np.sqrt(P_int_02Min**2 + 0.5*P_int_Min22Min**2) + + + DCR = fk_DC_min/(max(P_sum, self._eps)*4*kwargs["tau"]) + dDCR = DCR*np.sqrt((dfk_DC_min/max(fk_DC_min, self._eps))**2 + (dP_sum/max(P_sum, self._eps))**2) + mu_DCR = DCR*(kwargs["t_0"] + kwargs["t_gate"]) - kwargs_fit = self._default_fit_kwargs.copy() - kwargs_fit.update(kwargs) + + k_dcr_low = 0 + k_dcr_hi = poisson.ppf(kwargs["alpha_fit"], mu_DCR) + + self._hist_data["data"] = data + self._hist_data["bw"] = bw + self._hist_data["bc_min"] = f_bn2bc(0) + self._hist_data["bins"]=bins + self._hist_data["nbins"]=nbins + self._hist_data["counts"] = counts + self._hist_data["counts_error"] = counts_error + self._hist_data["bin_centres"] = bin_centres + self._hist_data["bin_numbers"] = bin_numbers + self._hist_data["density_orig"] = density_orig + self._hist_data["density_orig_error"] = density_orig_error + self._hist_data["density"] = density + self._hist_data["density_error"] = density_error + self._hist_data["density_bgsub"] = density_bgsub + self._hist_data["fft_amplitude"] = fft_amplitude + self._hist_data["fft_freq"] = fft_freq + self._hist_data["G_fft"] = G_fft + self._hist_data["k_DC_min"] = k_DC_min + self._hist_data["x_0_est"] = x_0_est + self._hist_data["bc2bn"] = f_bc2bn + self._hist_data["bn2bc"] = f_bn2bc + self._hist_data["bn2PDF"] = f_bn2PDF + self._hist_data["bn2PDF_err"] = f_bn2PDF_err + self._hist_data["k2PDF"] = f_k2PDF + self._hist_data["k2PDF_err"] = f_k2PDF_err + + + self._hist_data["peaks"]["peak_position"] = peak_position + self._hist_data["peaks"]["peak_position_norm"] = peak_position_norm + self._hist_data["peaks"]["peak_position_lower"] = peak_position_lower + self._hist_data["peaks"]["peak_position_upper"] = peak_position_upper + self._hist_data["peaks"]["peak_height"] = peak_height + self._hist_data["peaks"]["peak_height_lower"] = peak_height_lower + self._hist_data["peaks"]["peak_height_upper"] = peak_height_upper + self._hist_data["peaks"]["peak_mean"] = peak_mean + self._hist_data["peaks"]["peak_mean_error"] = peak_mean_error + self._hist_data["peaks"]["peak_variance"] = peak_variance + self._hist_data["peaks"]["peak_variance_error"] = peak_variance_error + self._hist_data["peaks"]["peak_std_deviation"] = peak_std_deviation + self._hist_data["peaks"]["peak_std_deviation_error"] = peak_std_deviation_error + self._hist_data["peaks"]["peak_skewness"] = peak_skewness + self._hist_data["peaks"]["peak_skewness_error"] = peak_skewness_error + self._hist_data["peaks"]["peak_kurtosis"] = peak_kurtosis + self._hist_data["peaks"]["peak_kurtosis_error"] = peak_kurtosis_error + + + self._prefit_values["x_0"] = x_0 + self._prefit_values["G"] = G + self._prefit_values["mu"] = mu + self._prefit_values["lbda"] = lbda + self._prefit_values["sigma_0"] = sigma_0 + self._prefit_values["sigma_1"] = sigma_1 + self._prefit_values["DCR"] = DCR + self._prefit_values["pAp"] = 0.1 + self._prefit_values["tauAp"] = 0.5*kwargs["tau"] + self._prefit_values["tau"] = kwargs["tau"] + self._prefit_values["t_0"] = kwargs["t_0"] + self._prefit_values["t_gate"] = kwargs["t_gate"] + self._prefit_values["k_low"]=k_low + self._prefit_values["k_hi"]=max(2,k_hi) + self._prefit_values["k_dcr_low"]=k_dcr_low + self._prefit_values["k_dcr_hi"]=max(2, k_dcr_hi) + + + + self._prefit_errors["x_0"] = dx_0 + self._prefit_errors["G"] = dG + self._prefit_errors["mu"] = dmu + self._prefit_errors["lbda"] = dlbda + self._prefit_errors["sigma_0"] = dsigma_0 + self._prefit_errors["sigma_1"] = dsigma_1 + self._prefit_errors["pAp"] = 0.1 + self._prefit_errors["tauAp"] = 1 + self._prefit_errors["tau"] = kwargs["tau_err"] + self._prefit_errors["t_0"] = kwargs["t_0_err"] + self._prefit_errors["t_gate"] = kwargs["t_gate_err"] + self._prefit_errors["DCR"] = dDCR + - if(not isinstance(data,np.ndarray)): - raise Exception("Data is in {0} format. Please provide data in the format of a NumPy array.".format(type(data))) - - else: - - if(data.ndim==1): - if(self._verbose): - print("Data is 1D. Assuming list of charges as input...") - self._is_histogram = False - - elif(data.ndim==2): - if(self._verbose): - print("Data is 2D. Assuming histogram as input...") - self._is_histogram = True - else: - raise Exception("Please provide data in the format of either a list of charges (1D) or a histogram (2D)") - - - if(kwargs_fit["t_0"] is None): - raise Exception("t_0 is not set. Please set t_0 as a keyword argument to be the integration period before gate in nanoseconds.") - - if(kwargs_fit["tgate"] is None): - raise Exception("tgate is not set. Please set tgate as a keyword argument to be the integration gate length in nanoseconds.") - - if(kwargs_fit["tau"] is None): - raise Exception("tau is not set. Please set tau as a keyword argument to be the slow component of the SiPM pulse in nanoseconds.") - - if(kwargs_fit["r_fast"] is None): - raise Exception("r_fast is not set. Please set r_fast as a keyword argument to be the fraction of the fast component of the SiPM pulse in nanoseconds.") - - print("Performing fit initialisation...") - self.Init() - self.InitFit(data, **kwargs_fit) - - if(not self._failed): - - print("Fitting...") - - self.N = len(data) - - - G = self._GD_data["fit_G"] - dG = self._GD_data["fit_G_err"] - mu = self._GD_data["fit_GP_mu"] - dmu = self._GD_data["fit_GP_mu_err"] - lbda = self._GD_data["fit_GP_lbda"] - dlbda = self._GD_data["fit_GP_lbda_err"] - k_low = self._GD_data["fit_GP_k_low"] - k_hi = self._GD_data["fit_GP_k_hi"] - x_0 = self._GD_data["fit_x_0"] - dx_0 = self._GD_data["fit_x_0_err"] - sigma_0 = self._GD_data["fit_sigma0"] - sigma_1 = self._GD_data["fit_sigma1"] - dsigma_0 = self._GD_data["fit_sigma0_err"] - dsigma_1 = self._GD_data["fit_sigma1_err"] - - tau = self._DCR_data["fit_tau"] - tgate = self._DCR_data["fit_tgate"] - t_0 = self._DCR_data["fit_t_0"] - DCR = self._DCR_data["fit_DCR"] - dDCR = self._DCR_data["fit_DCR_err"] - r_fast = self._DCR_data["fit_r_fast"] - k_dcr_low = self._DCR_data["fit_dcr_k_low"] - k_dcr_hi =self._DCR_data["fit_dcr_k_hi"] - - - - # beta is set to G/2 good guess - self.fit_dict = { - "mu":mu, - "G":G, - "x_0": x_0, - "sigma_0": sigma_0, - "sigma_1": sigma_1, - "alpha": 0.2, - "r_beta": 0.2, - "lbda":lbda, - "tau": tau, - "tgate":tgate, - "t_0": t_0, - "DCR":DCR, - "r_fast":r_fast, - "k_low":k_low, - "k_hi":k_hi, - "k_dcr_low":k_dcr_low, - "k_dcr_hi":k_dcr_hi - } - - bl = UnbinnedLH(self.DRM, self._GD_data["data_s"], self._GD_data["x_kde_s"]) - minuit = Minuit(bl, **self.fit_dict) - - minuit.errors["alpha"] = 0.01 - minuit.errors["r_beta"] = 0.01 - if(not np.isnan(dmu) and dmu is not None): - minuit.errors["mu"] = abs(dmu) - if(not np.isnan(dG) and dG is not None): - minuit.errors["G"] = abs(dG) - if(not np.isnan(dx_0) and dx_0 is not None): - minuit.errors["x_0"] = abs(dx_0) - if(not np.isnan(dlbda) and dlbda is not None): - minuit.errors["lbda"] = abs(dlbda) - if(not np.isnan(dsigma_0) and dsigma_0 is not None): - minuit.errors["sigma_0"] = abs(dsigma_0) - if(not np.isnan(dsigma_1) and dsigma_1 is not None): - minuit.errors["sigma_1"] = abs(dsigma_1) - if(not np.isnan(dDCR) and dDCR is not None): - minuit.errors["DCR"] = abs(dDCR) - - - minuit.limits["mu"] = (self._eps, max(1, k_hi)) - minuit.limits["G"] = (self._eps, None) - minuit.limits["x_0"] = (None, None) - minuit.limits["alpha"] = (self._eps, 1-self._eps) - minuit.limits["r_beta"] = (self._eps, 1-self._eps) - minuit.limits["lbda"] = (self._eps, 1-self._eps) - minuit.limits["sigma_0"] = (self._eps, G) - minuit.limits["sigma_1"] = (self._eps, G) - minuit.limits["DCR"] = (self._eps, None) - - - minuit.fixed["k_low"] = True - minuit.fixed["k_hi"] = True - minuit.fixed["tgate"] = True - minuit.fixed["tau"] = True - minuit.fixed["t_0"] = True - minuit.fixed["r_fast"] = True - minuit.fixed["k_dcr_low"] = True - minuit.fixed["k_dcr_hi"] = True - minuit.fixed["tgate"] = True - - - minuit.strategy=2 - minuit.errordef=minuit.LIKELIHOOD - minuit.simplex() - minuit.migrad(ncall= self._n_call_minuit, - iterate =self._n_iterations_minuit) - minuit.hesse() - - if(self._verbose): - print(minuit) - - self._fit_minuit = minuit - self._fit_values_s = minuit.values.to_dict() - self._fit_errors_s = minuit.errors.to_dict() - - self._fit_values = {} - self._fit_errors = {} - - - for key, value in self._fit_values_s.items(): - if(key=="x_0"): - self._fit_values[key] = value*self.scaler.scale_[0] + self.scaler.center_[0] - elif(key=="G"): - self._fit_values[key] = value*self.scaler.scale_[0] - elif(key=="sigma_0"): - self._fit_values[key] = value*self.scaler.scale_[0] - elif(key=="sigma_1"): - self._fit_values[key] = value*self.scaler.scale_[0] - else: - self._fit_values[key] = value - - - - - for key, value in self._fit_errors_s.items(): - if(key=="x_0"): - self._fit_errors[key] = value*self.scaler.scale_[0] + self.scaler.center_[0] - elif(key=="G"): - self._fit_errors[key] = value*self.scaler.scale_[0] - elif(key=="sigma_0"): - self._fit_errors[key] = value*self.scaler.scale_[0] - elif(key=="sigma_1"): - self._fit_errors[key] = value*self.scaler.scale_[0] - else: - self._fit_errors[key] = value - - - - data = [] - prms = [] - for par in self._fit_minuit.parameters: - if(self._fit_minuit.fixed[par]): - continue - - prms.append(par) - data.append([self._fit_values[par], self._fit_errors[par]]) - - data = np.asarray(data) - prms = np.asarray(prms) - - _print = pd.DataFrame(columns = prms, - index=["Values", "Errors"], data = data.T).T - - _print.style.format({ - 'Values': lambda val: f'{val:,.2E}', - 'Errors': lambda val: f'{val:,.2E}' - }) - + diff --git a/README.txt b/README.txt deleted file mode 100644 index 53c0607e71671cc85d0cfa3f9d85f564456f1ad4..0000000000000000000000000000000000000000 --- a/README.txt +++ /dev/null @@ -1,5 +0,0 @@ - - Run "pip install -r requirements.txt" in the terminal to install the necessary packages. - - Run python "RunFit.py" to test the fitting class on experimental data. - - The output fits will be stored in the Results folder. - - The output fitted values will be stored in csv format in the main directory, as "fit_results.csv" - - Please look at the "RunFit.py" example program for ideas on how to input and output from your data. diff --git a/RunFit.py b/RunFit.py deleted file mode 100644 index 4e77e6bd5243653f49a5af922b260980cd061d2e..0000000000000000000000000000000000000000 --- a/RunFit.py +++ /dev/null @@ -1,85 +0,0 @@ -import os -import sys -import numpy as np -import pandas as pd -from PeakOTron import PeakOTron - - -print("--------------------") -print('EXAMPLE SIPM CALIBRATION RUN') -print("--------------------") - -f_data = PeakOTron(verbose=False) -f_data.SetMaxNPeaks(15) #SET MAX N PEAKS - THRESHOLDING REQUIRED WHERE LAMBDA INCORRECTLY ESTIMATED, OR FIT WILL GO ON FOREVER. -f_data.SetMaxNDCRPeaks(6) - -out_dict = {} -files_to_fit = [] -for root, dirs, files in os.walk("./SiPMSpectra/"): - - for file in files: - - if file.endswith(".dat") and "light" in file: - files_to_fit.append([file, os.path.join(root, file)]) - - -print("Files to fit:") -for i, (file, _) in enumerate(files_to_fit): - print('File {0}: {1}'.format(i, file)) - - - -for i, (file, path) in enumerate(files_to_fit): - - items = file.split('_') - - V = float(items[1].replace('U', '').replace('p', '.')) - SiPM = items[3] - - print("\n Fit {0}: {1} \n".format(i, file)) - data = np.loadtxt(path) - bw = 1.1*(data[:,0][1] - data[:,0][0]) - - - f_data.Fit(data, - tau=20, #SLOW PULSE COMPONENT TIME CONSTANT (ns) - tgate=100, #GATE LENGTH (ns) - r_fast=0.1, #FRACTION OF FAST PULSE COMPONENT - t_0 = 100, #INTEGRATION TIME BEFORE GATE (ns) - pedestal = 0, - prominence=1e-3, - min_n_peak_evts=200, - bandwidth_kde="optimise", - bw=bw - - ) #BINNING RULE "knuth", "freedman", "scott" - use bw= #### to override. it is still required for DCR calculation. - - if(not f_data.Failed()): - f_data.PlotSummary(save_directory="./Results/{0}_init.png".format(os.path.splitext(file)[0])) - f_data.PlotFit(scaled=False, title=file, xlabel="Charge [Vs]", y_limits=[1e7, 1e11], save_directory="./Results/{0}_fit.png".format(os.path.splitext(file)[0])) - - fit_out = {} - fit_val, fit_err = f_data.GetFitResults() - fit_out["SiPM"] = SiPM - fit_out["V"] = V - - for key, value in fit_err.items(): - fit_out["d_{:s}".format(key)] = value - - fit_out.update(fit_val) - out_dict.update() - if out_dict == {}: - for key in fit_out.keys(): - out_dict[key] = [] - - for key in fit_out.keys(): - out_dict[key].append(fit_out[key]) - - - - else: - print("Fit failed. \n") - - -df = pd.DataFrame.from_dict(out_dict) -df.to_csv("./Results/fit_results.csv") diff --git a/SiPMSpectra/03/F1_U28p5_dark_PM3325WBA0-03_AmpG101_660nm_00000.dat b/SiPMSpectra/03/F1_U28p5_dark_PM3325WBA0-03_AmpG101_660nm_00000.dat deleted file mode 100644 index f02665b7d6ca6bb93b5fa686ccf2f83d7b601d1d..0000000000000000000000000000000000000000 --- a/SiPMSpectra/03/F1_U28p5_dark_PM3325WBA0-03_AmpG101_660nm_00000.dat +++ /dev/null @@ -1,1000 +0,0 @@ --3.66e-010 0 --3.65e-010 0 --3.64e-010 0 --3.63e-010 0 --3.62e-010 0 --3.61e-010 0 --3.6e-010 0 --3.59e-010 0 --3.58e-010 0 --3.57e-010 0 --3.56e-010 0 --3.55e-010 0 --3.54e-010 0 --3.53e-010 0 --3.52e-010 0 --3.51e-010 0 --3.5e-010 0 --3.49e-010 0 --3.48e-010 0 --3.47e-010 0 --3.46e-010 0 --3.45e-010 0 --3.44e-010 0 --3.43e-010 0 --3.42e-010 0 --3.41e-010 0 --3.4e-010 0 --3.39e-010 0 --3.38e-010 0 --3.37e-010 0 --3.36e-010 0 --3.35e-010 0 --3.34e-010 0 --3.33e-010 0 --3.32e-010 0 --3.31e-010 0 --3.3e-010 0 --3.29e-010 0 --3.28e-010 0 --3.27e-010 0 --3.26e-010 0 --3.25e-010 0 --3.24e-010 0 --3.23e-010 0 --3.22e-010 0 --3.21e-010 0 --3.2e-010 0 --3.19e-010 0 --3.18e-010 0 --3.17e-010 0 --3.16e-010 0 --3.15e-010 0 --3.14e-010 0 --3.13e-010 0 --3.12e-010 0 --3.11e-010 0 --3.1e-010 0 --3.09e-010 0 --3.08e-010 0 --3.07e-010 0 --3.06e-010 0 --3.05e-010 0 --3.04e-010 0 --3.03e-010 0 --3.02e-010 0 --3.01e-010 0 --3e-010 0 --2.99e-010 0 --2.98e-010 0 --2.97e-010 0 --2.96e-010 0 --2.95e-010 0 --2.94e-010 0 --2.93e-010 0 --2.92e-010 0 --2.91e-010 0 --2.9e-010 0 --2.89e-010 0 --2.88e-010 0 --2.87e-010 0 --2.86e-010 0 --2.85e-010 0 --2.84e-010 0 --2.83e-010 0 --2.82e-010 0 --2.81e-010 0 --2.8e-010 0 --2.79e-010 0 --2.78e-010 0 --2.77e-010 0 --2.76e-010 0 --2.75e-010 0 --2.74e-010 0 --2.73e-010 0 --2.72e-010 0 --2.71e-010 0 --2.7e-010 0 --2.69e-010 0 --2.68e-010 0 --2.67e-010 0 --2.66e-010 0 --2.65e-010 0 --2.64e-010 0 --2.63e-010 0 --2.62e-010 0 --2.61e-010 0 --2.6e-010 0 --2.59e-010 0 --2.58e-010 0 --2.57e-010 0 --2.56e-010 0 --2.55e-010 0 --2.54e-010 0 --2.53e-010 0 --2.52e-010 0 --2.51e-010 0 --2.5e-010 0 --2.49e-010 0 --2.48e-010 0 --2.47e-010 0 --2.46e-010 0 --2.45e-010 0 --2.44e-010 0 --2.43e-010 0 --2.42e-010 0 --2.41e-010 0 --2.4e-010 0 --2.39e-010 0 --2.38e-010 0 --2.37e-010 0 --2.36e-010 0 --2.35e-010 0 --2.34e-010 0 --2.33e-010 0 --2.32e-010 0 --2.31e-010 0 --2.3e-010 0 --2.29e-010 0 --2.28e-010 0 --2.27e-010 0 --2.26e-010 0 --2.25e-010 0 --2.24e-010 0 --2.23e-010 0 --2.22e-010 0 --2.21e-010 0 --2.2e-010 0 --2.19e-010 0 --2.18e-010 0 --2.17e-010 0 --2.16e-010 0 --2.15e-010 0 --2.14e-010 0 --2.13e-010 0 --2.12e-010 0 --2.11e-010 0 --2.1e-010 0 --2.09e-010 0 --2.08e-010 0 --2.07e-010 0 --2.06e-010 0 --2.05e-010 0 --2.04e-010 0 --2.03e-010 0 --2.02e-010 0 --2.01e-010 0 --2e-010 0 --1.99e-010 0 --1.98e-010 0 --1.97e-010 0 --1.96e-010 0 --1.95e-010 0 --1.94e-010 0 --1.93e-010 0 --1.92e-010 0 --1.91e-010 0 --1.9e-010 0 --1.89e-010 0 --1.88e-010 0 --1.87e-010 0 --1.86e-010 0 --1.85e-010 0 --1.84e-010 0 --1.83e-010 0 --1.82e-010 0 --1.81e-010 0 --1.8e-010 0 --1.79e-010 0 --1.78e-010 0 --1.77e-010 0 --1.76e-010 0 --1.75e-010 0 --1.74e-010 0 --1.73e-010 0 --1.72e-010 0 --1.71e-010 0 --1.7e-010 0 --1.69e-010 0 --1.68e-010 0 --1.67e-010 0 --1.66e-010 0 --1.65e-010 0 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