From 8621fb17363b1c86a9d0b98fd572087b0ed67c40 Mon Sep 17 00:00:00 2001 From: Giulia Coluzzi Date: Thu, 30 Apr 2026 13:53:00 +0200 Subject: [PATCH] creazione esperimento molle --- .gitignore | 283 ++ UI.ipynb | 603 +++++ calc_k.ipynb | 265 ++ dati/molla1leggeraRete.csv | 3695 +++++++++++++++++++++++++ dati/molla1pesanteCD.csv | 4725 ++++++++++++++++++++++++++++++++ dati/molla1pesanteRete.csv | 4597 ++++++++++++++++++++++++++++++++ dati/molla2leggeraCD50Hz.csv | 4526 +++++++++++++++++++++++++++++++ dati/molla2leggeraRete.csv | 4704 ++++++++++++++++++++++++++++++++ dati/molla2pesanteCD.csv | 4886 ++++++++++++++++++++++++++++++++++ dati/molla2pesanteRete.csv | 4665 ++++++++++++++++++++++++++++++++ dati_picchi.ipynb | 35 + k1.csv | 7 + k2.csv | 6 + osc_attr.ipynb | 283 ++ statistica.ipynb | 706 +++++ statlib.py | 413 +++ 16 files changed, 34399 insertions(+) create mode 100644 .gitignore create mode 100644 UI.ipynb create mode 100644 calc_k.ipynb create mode 100644 dati/molla1leggeraRete.csv create mode 100644 dati/molla1pesanteCD.csv create mode 100644 dati/molla1pesanteRete.csv create mode 100644 dati/molla2leggeraCD50Hz.csv create mode 100644 dati/molla2leggeraRete.csv create mode 100644 dati/molla2pesanteCD.csv create mode 100644 dati/molla2pesanteRete.csv create mode 100644 dati_picchi.ipynb create mode 100644 k1.csv create mode 100644 k2.csv create mode 100644 osc_attr.ipynb create mode 100644 statistica.ipynb create mode 100644 statlib.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..644cc9d --- /dev/null +++ b/.gitignore @@ -0,0 +1,283 @@ +# L'inzio di questo file è specifico per ogniuno di noi +Funzioni\ matlab.txt +prova* +test* +__pycache* + + +## Core latex/pdflatex auxiliary files: +*.aux +*.lof +*.log +*.lot +*.fls +*.out +*.toc +*.fmt +*.fot +*.cb +*.cb2 +.*.lb + +## Intermediate documents: +*.dvi +*.xdv +*-converted-to.* + +## Bibliography auxiliary files (bibtex/biblatex/biber): +*.bbl +*.bcf +*.blg +*-blx.aux +*-blx.bib +*.run.xml + +## Build tool auxiliary files: +*.fdb_latexmk +*.synctex +*.synctex(busy) +*.synctex.gz +*.synctex.gz(busy) +*.pdfsync + +## Build tool directories for auxiliary files +# latexrun +latex.out/ + +## Auxiliary and intermediate files from other packages: +# algorithms +*.alg +*.loa + +# achemso +acs-*.bib + +# amsthm +*.thm + +# beamer +*.nav +*.pre +*.snm +*.vrb + +# changes +*.soc + +# comment +*.cut + +# cprotect +*.cpt + +# elsarticle (documentclass of Elsevier journals) +*.spl + +# endnotes +*.ent + +# fixme +*.lox + +# feynmf/feynmp +*.mf +*.mp +*.t[1-9] +*.t[1-9][0-9] +*.tfm + +#(r)(e)ledmac/(r)(e)ledpar +*.end +*.?end +*.[1-9] +*.[1-9][0-9] +*.[1-9][0-9][0-9] +*.[1-9]R +*.[1-9][0-9]R +*.[1-9][0-9][0-9]R +*.eledsec[1-9] +*.eledsec[1-9]R +*.eledsec[1-9][0-9] +*.eledsec[1-9][0-9]R +*.eledsec[1-9][0-9][0-9] +*.eledsec[1-9][0-9][0-9]R + +# glossaries +*.acn +*.acr +*.glg +*.glo +*.gls +*.glsdefs +*.lzo +*.lzs + +# uncomment this for glossaries-extra (will ignore makeindex's style files!) +# *.ist + +# gnuplottex +*-gnuplottex-* + +# gregoriotex +*.gaux +*.glog +*.gtex + +# htlatex +*.4ct +*.4tc +*.idv +*.lg +*.trc +*.xref + +# hyperref +*.brf + +# knitr +*-concordance.tex +# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files +# *.tikz +*-tikzDictionary + +# listings +*.lol + +# luatexja-ruby +*.ltjruby + +# makeidx +*.idx +*.ilg +*.ind + +# minitoc +*.maf +*.mlf +*.mlt +*.mtc[0-9]* +*.slf[0-9]* +*.slt[0-9]* +*.stc[0-9]* + +# minted +_minted* +*.pyg + +# morewrites +*.mw + +# newpax +*.newpax + +# nomencl +*.nlg +*.nlo +*.nls + +# pax +*.pax + +# pdfpcnotes +*.pdfpc + +# sagetex +*.sagetex.sage +*.sagetex.py +*.sagetex.scmd + +# scrwfile +*.wrt + +# sympy +*.sout +*.sympy +sympy-plots-for-*.tex/ + +# pdfcomment +*.upa +*.upb + +# pythontex +*.pytxcode +pythontex-files-*/ + +# tcolorbox +*.listing + +# thmtools +*.loe + +# TikZ & PGF +*.dpth +*.md5 +*.auxlock + +# todonotes +*.tdo + +# vhistory +*.hst +*.ver + +# easy-todo +*.lod + +# xcolor +*.xcp + +# xmpincl +*.xmpi + +# xindy +*.xdy + +# xypic precompiled matrices and outlines +*.xyc +*.xyd + +# endfloat +*.ttt +*.fff + +# Latexian +TSWLatexianTemp* + +## Editors: +# WinEdt +*.bak +*.sav + +# Texpad +.texpadtmp + +# LyX +*.lyx~ + +# Kile +*.backup + +# gummi +.*.swp + +# KBibTeX +*~[0-9]* + +# TeXnicCenter +*.tps + +# auto folder when using emacs and auctex +./auto/* +*.el + +# expex forward references with \gathertags +*-tags.tex + +# standalone packages +*.sta + +# Makeindex log files +*.lpz + +# xwatermark package +*.xwm \ No newline at end of file diff --git a/UI.ipynb b/UI.ipynb new file mode 100644 index 0000000..1e419c5 --- /dev/null +++ b/UI.ipynb @@ -0,0 +1,603 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 5, + "id": "4557c12a", + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib widget" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "bf8113f1", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "9017764272564dc6a06a4b5963a2d871", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "VBox(children=(HBox(children=(Text(value='a * x + b', description='f(x) =', layout=Layout(width='420px')), But…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_12072/1355624997.py:333: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n", + " plt.tight_layout()\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "bf9f49f0dda84eeea2349a7eaadd5ab4", + "version_major": 2, + "version_minor": 0 + }, + "image/png": 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\n", + " Figure\n", + "
\n", + " \n", + "
\n", + " " + ], + "text/plain": [ + "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib.patches as patches\n", + "from matplotlib.widgets import RectangleSelector\n", + "import ipywidgets as widgets\n", + "from IPython.display import display\n", + "from scipy.optimize import curve_fit\n", + "import ast\n", + "import re\n", + "import scipy\n", + "import ipysheet\n", + "\n", + "# Dati di esempio\n", + "import pandas as pd\n", + "# df = pd.read_csv(\"dati.csv\")\n", + "# x_data = df[\"nome_colonna_x\"].values\n", + "# y_data = df[\"nome_colonna_y\"].values\n", + "\n", + "np.random.seed(42)\n", + "x_data = np.linspace(0, 100, 101)\n", + "y_data = 2.5 * x_data**2 + 1.2 * x_data + 1 + np.random.normal(0, 100, 101)\n", + "\n", + "\n", + "\n", + "# Stato\n", + "selected_mask = np.ones(len(x_data), dtype=bool)\n", + "fit_history = []\n", + "\n", + "# Figura matplotlib\n", + "fig, ax = plt.subplots(figsize=(9, 5))\n", + "plt.subplots_adjust(bottom=0.12)\n", + "\n", + "sc_all = ax.scatter(x_data, y_data, c='steelblue', s=25, alpha=0.5, zorder=2, label='tutti i punti')\n", + "sc_sel = ax.scatter([], [], c='tomato', s=45, alpha=0.9, zorder=3, label='selezionati')\n", + "line_fit, = ax.plot([], [], color='darkorange', lw=2.5, zorder=4, label='fit')\n", + "fit_text = ax.text(0.02, 0.97, '', transform=ax.transAxes, fontsize=10, color='darkorange',\n", + " va='top', ha='left', bbox=dict(boxstyle='round,pad=0.3', facecolor='white', alpha=0.7))\n", + "box_patch = patches.Rectangle((0, 0), 0, 0, linewidth=1.5, edgecolor='tomato',\n", + " facecolor='tomato', alpha=0.08, linestyle='--', zorder=1)\n", + "ax.add_patch(box_patch)\n", + "ax.set_xlabel('x')\n", + "ax.set_ylabel('y')\n", + "ax.legend(loc='upper right', fontsize=9)\n", + "ax.grid(True, alpha=0.3)\n", + "\n", + "# UI\n", + "func_input = widgets.Text(value='a * x + b', description='f(x) =', layout=widgets.Layout(width='420px'))\n", + "fit_btn = widgets.Button(description='Esegui fit', button_style='primary')\n", + "clear_btn = widgets.Button(description='Reset selezione', button_style='warning')\n", + "clear_hist_btn = widgets.Button(description='Reset storia fit', button_style='danger')\n", + "sel_label = widgets.Label(value=f'Selezionati: {len(x_data)} / {len(x_data)}')\n", + "out_log = widgets.Output(layout=widgets.Layout(border='1px solid #ddd', padding='8px', min_height='80px'))\n", + "\n", + "# RectangleSelector\n", + "def on_select(eclick, erelease):\n", + " global selected_mask\n", + " if eclick.xdata is None or erelease.xdata is None:\n", + " return\n", + "\n", + " x0, x1 = sorted([eclick.xdata, erelease.xdata])\n", + " y0, y1 = sorted([eclick.ydata, erelease.ydata])\n", + "\n", + " selected_mask = ((x_data >= x0) & (x_data <= x1) &\n", + " (y_data >= y0) & (y_data <= y1))\n", + "\n", + " pts = np.column_stack([x_data[selected_mask], y_data[selected_mask]])\n", + " sc_sel.set_offsets(pts if pts.size > 0 else np.empty((0, 2)))\n", + "\n", + " box_patch.set_xy((x0, y0))\n", + " box_patch.set_width(x1 - x0)\n", + " box_patch.set_height(y1 - y0)\n", + " box_patch.set_visible(True)\n", + " sel_label.value = f'Selezionati: {int(selected_mask.sum())} / {len(x_data)}'\n", + " fig.canvas.draw_idle()\n", + "\n", + "rect_selector = RectangleSelector(ax, on_select, useblit=True, button=[1], minspanx=0, minspany=0, spancoords='data', interactive=False)\n", + "\n", + "# Parsing\n", + "def extract_params(expr):\n", + " expr = re.sub(r'^[a-zA-Z_]\\s*=\\s*', '', expr.strip())\n", + " try:\n", + " tree = ast.parse(expr, mode='eval')\n", + " names = {node.id for node in ast.walk(tree) if isinstance(node, ast.Name)}\n", + " exclude = {'x', 'np', 'numpy', 'math', 'pi', 'e', 'inf', 'True', 'False', 'None',\n", + " 'exp', 'log', 'sin', 'cos', 'sqrt', 'tan', 'tanh', 'sinh', 'cosh', 'abs', 'min', 'max'}\n", + " return sorted(names - exclude)\n", + " except SyntaxError:\n", + " return []\n", + "\n", + "# Costruttore funzione\n", + "def build_func(expr, params):\n", + " ns = {'np': np, 'exp': np.exp, 'log': np.log, 'sin': np.sin, 'cos': np.cos,\n", + " 'sqrt': np.sqrt, 'tan': np.tan, 'sinh': np.sinh, 'cosh': np.cosh,\n", + " 'pi': np.pi, 'e': np.e, 'inf': np.inf}\n", + " exec(f\"def _f(x, {', '.join(params)}):\\n return {expr}\", ns)\n", + " return ns['_f']\n", + "\n", + "# Fit\n", + "def run_fit(_):\n", + " out_log.clear_output(wait=True)\n", + " with out_log:\n", + " try:\n", + " expr = func_input.value.strip()\n", + " params = extract_params(expr)\n", + "\n", + " if not params:\n", + " print(\"Nessun parametro trovato. Usa lettere (es. a, b, k).\")\n", + " return\n", + "\n", + " xs = x_data[selected_mask]\n", + " ys = y_data[selected_mask]\n", + "\n", + " n = len(xs)\n", + " k = len(params)\n", + "\n", + " if n < k + 1:\n", + " print(f\"Troppo pochi punti ({n}) per {k} parametri.\")\n", + " return\n", + "\n", + " fn = build_func(expr, params)\n", + " p0 = np.ones(k) * 0.5\n", + " popt, pcov = curve_fit(fn, xs, ys, p0=p0, maxfev=20_000)\n", + " perr = np.sqrt(np.diag(pcov))\n", + "\n", + " # curva nel grafico\n", + " x_fit = np.linspace(x_data.min(), x_data.max(), 500)\n", + " y_fit = fn(x_fit, *popt)\n", + " line_fit.set_data(x_fit, y_fit)\n", + "\n", + " # Label\n", + " label_expr = expr\n", + " for p, v in zip(params, popt):\n", + " label_expr = re.sub(rf'\\b{p}\\b', f'{v:.3g}', label_expr)\n", + " fit_text.set_text(f'y = {label_expr}')\n", + " fig.canvas.draw_idle()\n", + "\n", + " # statistiche Uso nomi mega chiari\n", + " valori_predetti = fn(xs, *popt)\n", + " somma_quadri_residuali = np.sum((ys - valori_predetti) ** 2)\n", + " somma_quadri_totali = np.sum((ys - ys.mean()) ** 2)\n", + " r2 = 1 - somma_quadri_residuali / somma_quadri_totali\n", + " rmse = np.sqrt(somma_quadri_residuali / n)\n", + " GdL = max(n - k, 1)\n", + " varianza_residuali = somma_quadri_residuali / GdL\n", + " p_value = scipy.stats.chi2.sf(somma_quadri_residuali, df=GdL)\n", + "\n", + " # log-verosimiglianza gaussiana con σ² = somma_quadri_residuali/n (stima ML)\n", + " # Stavo facendo mettere apposto la parte grafica a Cloude e se ne è saltato fuori con questa aggiunta\n", + " # Se vero quello che mi ha spiegato è molto figa e utile\n", + " # In ogni caso basta ignorarne i risultati se fa paura e/o perdere tempo\n", + " log_lik = -n / 2 * (np.log(2 * np.pi * somma_quadri_residuali / n) + 1)\n", + "\n", + " AIC = 2 * k - 2 * log_lik\n", + " BIC = k * np.log(n) - 2 * log_lik\n", + " AICc = AIC + (2 * k * (k + 1)) / max(n - k - 1, 1)\n", + "\n", + " # salva in storia\n", + " fit_history.append({\n", + " 'expr' : expr,\n", + " 'k' : k,\n", + " 'n' : n,\n", + " 'R2' : r2,\n", + " 'RMSE' : rmse,\n", + " 'varianza_residuali': varianza_residuali,\n", + " 'AIC' : AIC,\n", + " 'AICc' : AICc,\n", + " 'BIC' : BIC,\n", + " })\n", + "\n", + " # stampa fit corrente\n", + " print(f\"Modello #{len(fit_history)} — fit su {n} punti\\n\")\n", + " print(f\"{'Parametro':<12} {'Valore':>14} {'± Errore Std':>14}\")\n", + " print(\"─\" * 42)\n", + " for p, v, e in zip(params, popt, perr):\n", + " print(f\"{p:<12} {v:>14.6g} {e:>14.6g}\")\n", + " print(f\"\\nR² = {r2:.6f}\")\n", + " print(f\"RMSE = {rmse:.6g}\")\n", + " print(f\"χ² rid(σ²=1)= {varianza_residuali:.6g} (varianza residua)\")\n", + " print(f\"p-value = {p_value:.4g} (prob. χ² ≥ osservato, GdL={GdL})\")\n", + " print(f\"log L = {log_lik:.4f}\")\n", + " print(f\"AIC = {AIC:.4f}\")\n", + " print(f\"AICc = {AICc:.4f} ← usa questo se n/k < 40\")\n", + " print(f\"BIC = {BIC:.4f}\")\n", + " print(f\"Punti usati = {n} / {len(x_data)} | k={k} | GdL={GdL}\")\n", + "\n", + " #Questo pezzo di codice è puro frutto dell'AI, è molto divertente anche come logica\n", + " # ── confronto modelli (solo se ce ne sono almeno 2) ───────────────\n", + " if len(fit_history) > 1:\n", + " best_AICc = min(h['AICc'] for h in fit_history)\n", + " best_BIC = min(h['BIC'] for h in fit_history)\n", + " delta = np.array([h['AICc'] - best_AICc for h in fit_history])\n", + " pesi = np.exp(-delta / 2)\n", + " pesi /= pesi.sum()\n", + "\n", + " W = 72\n", + " print(f\"\\n{'═'*W}\")\n", + " print(f\" CONFRONTO TRA MODELLI FITTATI\")\n", + " print(f\" Quante volte hai premuto 'Esegui fit': {len(fit_history)}\")\n", + " print(f\"{'═'*W}\")\n", + "\n", + " # ── tabella principale ────────────────────────────────────────────────────\n", + " print(f\"\\n {'#':<3} {'Funzione':<26} {'param':>5} {'punti':>6} \"\n", + " f\"{'R²':>7} {'RMSE':>9} {'AICc':>9} {'ΔAICc':>7}\")\n", + " print(f\" {'─'*3} {'─'*26} {'─'*5} {'─'*6} \"\n", + " f\"{'─'*7} {'─'*9} {'─'*9} {'─'*7}\")\n", + "\n", + " for i, (h, w) in enumerate(zip(fit_history, pesi)):\n", + " is_best_AICc = abs(h['AICc'] - best_AICc) < 1e-6\n", + " is_best_BIC = abs(h['BIC'] - best_BIC) < 1e-6\n", + " marker = ' ◀' if is_best_AICc else ' '\n", + " print(f\" {i+1:<3} {h['expr']:<26} {h['k']:>5} {h['n']:>6} \"\n", + " f\"{h['R2']:>7.4f} {h['RMSE']:>9.4g} \"\n", + " f\"{h['AICc']:>9.2f} {delta[i]:>7.2f}{marker}\")\n", + "\n", + " print(f\"\\n ◀ = modello preferito secondo AICc\")\n", + " print(f\"\\n R² : quanto il modello spiega i dati (1.000 = perfetto)\")\n", + " print(f\" RMSE : errore tipico in unità di y (più basso = meglio)\")\n", + " print(f\" AICc : criterio di selezione del modello (più basso = meglio)\")\n", + " print(f\" ΔAICc: distanza dal modello migliore (0 = sei il migliore)\")\n", + "\n", + " # ── interpretazione ΔAICc ────────────────────────────────────────────────\n", + " print(f\"\\n{'─'*W}\")\n", + " print(f\" INTERPRETAZIONE ΔAICc\")\n", + " print(f\"{'─'*W}\")\n", + " soglie = [(2, \"equivalente al migliore — entrambi plausibili\"),\n", + " (7, \"supporto minore — il migliore è preferibile\"),\n", + " (10, \"supporto debole — usare solo se motivato teoricamente\"),\n", + " (float('inf'), \"da scartare — i dati non supportano questo modello\")]\n", + " for i, (h, w) in enumerate(zip(fit_history, pesi)):\n", + " d = delta[i]\n", + " for soglia, giudizio in soglie:\n", + " if d < soglia:\n", + " break\n", + " best_tag = \" (migliore)\" if d < 1e-6 else \"\"\n", + " print(f\"\\n Modello #{i+1} → y = {h['expr']}{best_tag}\")\n", + " print(f\" ΔAICc = {d:.2f} → {giudizio}\")\n", + "\n", + " # ── pesi di Akaike ────────────────────────────────────────────────────────\n", + " print(f\"\\n{'─'*W}\")\n", + " print(f\" PROBABILITÀ RELATIVA DI CIASCUN MODELLO (pesi di Akaike)\")\n", + " print(f\" Interpretazione: dato il set di dati, quanto è probabile\")\n", + " print(f\" che questo sia il modello migliore tra quelli confrontati?\")\n", + " print(f\"{'─'*W}\")\n", + " for i, (h, w) in enumerate(zip(fit_history, pesi)):\n", + " bar = '█' * max(1, int(w * 40))\n", + " empty = '░' * (40 - max(1, int(w * 40)))\n", + " perc = w * 100\n", + " print(f\"\\n #{i+1} y = {h['expr']}\")\n", + " print(f\" probabilità = {perc:5.1f}% {bar}{empty}\")\n", + "\n", + " # ── verdetto finale ───────────────────────────────────────────────────────\n", + " best_idx = int(np.argmin(delta))\n", + " best_h = fit_history[best_idx]\n", + " print(f\"\\n{'═'*W}\")\n", + " print(f\" VERDETTO\")\n", + " print(f\"{'═'*W}\")\n", + " print(f\" Il modello preferito dai dati è il #{best_idx+1}:\")\n", + " print(f\" y = {best_h['expr']}\")\n", + " print(f\" con {best_h['k']} parametri su {best_h['n']} punti\")\n", + " print(f\" R² = {best_h['R2']:.4f} | RMSE = {best_h['RMSE']:.4g} | AICc = {best_h['AICc']:.2f}\")\n", + " if pesi[best_idx] > 0.9:\n", + " print(f\"\\n ✓ Scelta netta: peso {pesi[best_idx]*100:.1f}% — gli altri modelli hanno\")\n", + " print(f\" scarso supporto dai dati.\")\n", + " elif pesi[best_idx] > 0.6:\n", + " print(f\"\\n ~ Scelta abbastanza chiara (peso {pesi[best_idx]*100:.1f}%),\")\n", + " print(f\" ma considera anche il modello con ΔAICc minore.\")\n", + " else:\n", + " print(f\"\\n ! Scelta incerta (peso {pesi[best_idx]*100:.1f}%): i modelli sono\")\n", + " print(f\" statisticamente equivalenti — scegli quello più semplice\")\n", + " print(f\" o quello più motivato dalla teoria.\")\n", + " print(f\"{'═'*W}\\n\")\n", + "\n", + " except Exception as e:\n", + " print(f\"Errore: {e}\")\n", + "\n", + "# Reset\n", + "def reset(_):\n", + " global selected_mask\n", + " selected_mask = np.ones(len(x_data), dtype=bool)\n", + " sc_sel.set_offsets(np.empty((0, 2)))\n", + " box_patch.set_visible(False)\n", + " line_fit.set_data([], [])\n", + " fit_text.set_text('')\n", + " sel_label.value = f'Selezionati: {len(x_data)} / {len(x_data)}'\n", + " fig.canvas.draw_idle()\n", + " out_log.clear_output()\n", + "\n", + "# Reset storia fit (aggiunta da Cloude)\n", + "def reset_history(_):\n", + " fit_history.clear()\n", + " out_log.clear_output()\n", + " with out_log:\n", + " print(\"Storia dei fit azzerata.\")\n", + "\n", + "clear_btn.on_click(reset)\n", + "clear_hist_btn.on_click(reset_history)\n", + "\n", + "# Layout\n", + "display(widgets.VBox([\n", + " widgets.HBox([func_input, fit_btn, clear_btn, clear_hist_btn]),\n", + " sel_label,\n", + " fig.canvas,\n", + " out_log\n", + "]))\n", + "\n", + "# AGGIUNTA — Grafici dei residui Completamente separata\n", + "# Caratteri strani per la copia: ŷ σ ±\n", + "import matplotlib.gridspec as gridspec\n", + "\n", + "# Figura separata per i residui (viene creata vuota all'avvio,\n", + "# poi popolata ogni volta che si preme \"Esegui fit\")\n", + "fig_res, axes_res = plt.subplots(\n", + " 1, 2,\n", + " figsize=(12, 4),\n", + " gridspec_kw={'wspace': 0.35}\n", + ")\n", + "fig_res.suptitle('Analisi dei residui — ultimo fit', fontsize=12, fontweight='bold', y=1.02)\n", + "\n", + "ax_res1, ax_res2 = axes_res\n", + "\n", + "for ax in axes_res:\n", + " ax.axhline(0, color='#444', lw=1, linestyle='--', zorder=1)\n", + " ax.grid(True, alpha=0.25)\n", + "\n", + "ax_res1.set_xlabel('x')\n", + "ax_res1.set_ylabel('residuo (y - ŷ)')\n", + "ax_res1.set_title('Grafico 1 — Residui vs x\\n(bande ±1σ evidenziate)')\n", + "\n", + "ax_res2.set_xlabel('ŷ (valore predetto)')\n", + "ax_res2.set_ylabel('residuo (y - ŷ)')\n", + "ax_res2.set_title('Grafico 2 — Residui vs ŷ\\n(plot classico)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "\n", + "\n", + "# funzione che aggiorna i grafici dei residui\n", + "def update_residual_plots(xs, ys, y_pred):\n", + " residuals = ys - y_pred\n", + " sigma = residuals.std(ddof=1) # deviazione standard campionaria\n", + "\n", + " # pulizia assi\n", + " for ax in axes_res:\n", + " ax.cla()\n", + " ax.axhline(0, color='#444', lw=1, linestyle='--', zorder=1)\n", + " ax.grid(True, alpha=0.25)\n", + "\n", + " # GRAFICO 1\n", + " ax_res1.set_xlabel('x')\n", + " ax_res1.set_ylabel('residuo (y - ŷ)')\n", + " ax_res1.set_title('Grafico 1 — Residui vs x\\n(bande ±1σ evidenziate)')\n", + "\n", + " # bande\n", + " x_min, x_max = xs.min(), xs.max()\n", + " ax_res1.axhspan(-sigma, sigma,\n", + " color='steelblue', alpha=0.12, zorder=0, label='±1σ')\n", + " ax_res1.axhline( sigma, color='steelblue', lw=1.2, linestyle=':', zorder=2)\n", + " ax_res1.axhline(-sigma, color='steelblue', lw=1.2, linestyle=':', zorder=2)\n", + "\n", + " # colore punti: dentro/fuori banda\n", + " inside = np.abs(residuals) <= sigma\n", + " outside = ~inside\n", + "\n", + " ax_res1.scatter(xs[inside], residuals[inside],\n", + " c='steelblue', s=30, alpha=0.75, zorder=3,\n", + " label=f'entro ±1σ ({inside.sum()})')\n", + " if outside.any():\n", + " ax_res1.scatter(xs[outside], residuals[outside],\n", + " c='tomato', s=40, alpha=0.9, zorder=4, marker='D',\n", + " label=f'fuori ±1σ ({outside.sum()})')\n", + "\n", + " # annotazione percentuale Carina\n", + " pct = inside.mean() * 100\n", + " ax_res1.text(0.98, 0.97,\n", + " f'{pct:.1f}% entro ±1σ\\nσ = {sigma:.4g}',\n", + " transform=ax_res1.transAxes,\n", + " ha='right', va='top', fontsize=9,\n", + " bbox=dict(boxstyle='round,pad=0.3', facecolor='white', alpha=0.75))\n", + "\n", + " ax_res1.legend(fontsize=8, loc='lower right')\n", + "\n", + " # GRAFICO 2 : residui Classici\n", + " ax_res2.set_xlabel('ŷ (valore predetto)')\n", + " ax_res2.set_ylabel('residuo (y - ŷ)')\n", + " ax_res2.set_title('Grafico 2 — Residui vs ŷ\\n(plot classico)')\n", + "\n", + " ax_res2.scatter(y_pred, residuals,\n", + " c='darkorange', s=30, alpha=0.75, edgecolors='none', zorder=3)\n", + "\n", + " # uso solo una regressione lineare sui residui (utile per capire se residui lineari)\n", + " # Serve per il debugging della funzione di fit e mostra se usi una retta per dati su una parabola\n", + " if len(y_pred) > 2:\n", + " idx_sort = np.argsort(y_pred)\n", + " xp = y_pred[idx_sort]\n", + " yp = residuals[idx_sort]\n", + " coeff = np.polyfit(xp, yp, 1)\n", + " trend = np.polyval(coeff, xp)\n", + " ax_res2.plot(xp, trend, color='gray', lw=1.5, linestyle='--',\n", + " alpha=0.7, label=f'tendenza lineare\\n(slope={coeff[0]:.3g})')\n", + " ax_res2.legend(fontsize=8, loc='best')\n", + "\n", + " # titolo figura\n", + " last_expr = fit_history[-1]['expr'] if fit_history else '?'\n", + " fig_res.suptitle(f'Analisi dei residui — ultimo fit: y = {last_expr}',\n", + " fontsize=11, fontweight='bold', y=1.02)\n", + "\n", + " fig_res.canvas.draw_idle()\n", + "\n", + "\n", + "# Salviamo il run_fit originale\n", + "_run_fit_original = run_fit\n", + "\n", + "def run_fit_with_residuals(btn):\n", + " _run_fit_original(btn)\n", + "\n", + " try:\n", + " expr = func_input.value.strip()\n", + " params = extract_params(expr)\n", + " fn = build_func(expr, params)\n", + "\n", + " xs = x_data[selected_mask]\n", + " ys = y_data[selected_mask]\n", + "\n", + " # ri-esegui curve_fit solo per prendere popt\n", + " p0 = np.ones(len(params)) * 0.5\n", + " popt, _ = curve_fit(fn, xs, ys, p0=p0, maxfev=20_000)\n", + " y_pred = fn(xs, *popt)\n", + "\n", + " update_residual_plots(xs, ys, y_pred)\n", + " except Exception:\n", + " pass\n", + "fit_btn.on_click(run_fit_with_residuals) #Non fa i residui fit_btn.on_click(run_fit)\n", + "\n", + "# Widget di output per i grafici dei residui\n", + "residuals_out = widgets.Output()\n", + "with residuals_out:\n", + " display(fig_res.canvas)\n", + "\n", + "display(residuals_out)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "fc48565a", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "8e0f68f82e6447a4992ceabd871c4208", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Sheet(cells=(Cell(column_end=0, column_start=0, row_end=11, row_start=0, squeeze_row=False, type='text', value…" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x_str = [f'{v:.17g}' for v in x_data[selected_mask]]\n", + "y_str = [f'{v:.17g}' for v in y_data[selected_mask]]\n", + "\n", + "sheet = ipysheet.sheet(rows=len(x_data[selected_mask]), columns=2)\n", + "ipysheet.column(0, x_str, label='Colonna 1')\n", + "ipysheet.column(1, y_str, label='Colonna 2')\n", + "\n", + "sheet" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/calc_k.ipynb b/calc_k.ipynb new file mode 100644 index 0000000..bbb074e --- /dev/null +++ b/calc_k.ipynb @@ -0,0 +1,265 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "50858247", + "metadata": {}, + "outputs": [], + "source": [ + "import importlib\n", + "from statlib import *\n", + "#importlib.reload(statlib)\n", + "\n", + "g = 9.806\n", + "ug = 0.004" + ] + }, + { + "cell_type": "markdown", + "id": "713c412d", + "metadata": {}, + "source": [ + "# Import dati" + ] + }, + { + "cell_type": "markdown", + "id": "1710cd03", + "metadata": {}, + "source": [ + "## " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "c879330c", + "metadata": {}, + "outputs": [], + "source": [ + "# Lettura csv e inserimento parametri\n", + "\n", + "# Molla 1\n", + "df = pd.read_csv(\"k1.csv\")\n", + "df.insert(1, \"um\", 0.01/np.sqrt(12))\n", + "df[\"g\"] = g\n", + "df[\"ug\"] = ug\n", + "\n", + "molla1 = Data(df)\n", + "molla1.analisi_stat = molla1.campione # dati già elaborati\n", + "\n", + "# Molla 2\n", + "df = pd.read_csv(\"k2.csv\")\n", + "df.insert(1, \"um\", 0.01/np.sqrt(12))\n", + "df[\"g\"] = g\n", + "df[\"ug\"] = ug\n", + "\n", + "molla2 = Data(df)\n", + "molla2.analisi_stat = molla2.campione # dati già elaborati" + ] + }, + { + "cell_type": "markdown", + "id": "936fd96d", + "metadata": {}, + "source": [ + "# Regressione lineare" + ] + }, + { + "cell_type": "markdown", + "id": "a2757120", + "metadata": {}, + "source": [ + "## Calcolo variabili di regressione" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "36282884", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo smbolico\n", + "\n", + "# Fg = mg\n", + "m, g = sp.symbols('m g', positive=True)\n", + "F = m/1000*g\n", + "\n", + "# x = h\n", + "h =sp.Symbol('h')\n", + "x = -h / 1000\n", + "\n", + "# y = Fg\n", + "y = F\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "81a87807", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "d353a9ba4ede4f40a1596f706515a10c", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Sheet(cells=(Cell(column_end=0, column_start=0, row_end=5, row_start=0, squeeze_row=False, type='numeric', val…" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "eff3f11c07764e918a772519ad81059d", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Sheet(cells=(Cell(column_end=0, column_start=0, row_end=4, row_start=0, squeeze_row=False, type='numeric', val…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Calcolo numerico\n", + "\n", + "# Molla 1\n", + "molla1 = molla1.calc_var(F, \"Fg\")\n", + "molla1 = molla1.calc_var(x, \"x\")\n", + "molla1 = molla1.calc_var(y, \"y\")\n", + "sheet = ipysheet.from_dataframe(molla1.analisi_stat)\n", + "display(sheet)\n", + "\n", + "# Molla 2\n", + "molla2 = molla2.calc_var(F, \"Fg\")\n", + "molla2 = molla2.calc_var(x, \"x\")\n", + "molla2 = molla2.calc_var(y, \"y\")\n", + "sheet = ipysheet.from_dataframe(molla2.analisi_stat)\n", + "display(sheet)" + ] + }, + { + "cell_type": "markdown", + "id": "5f30376e", + "metadata": {}, + "source": [ + "## Regressione e residui" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "c2a16948", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ax + B : \n", + "A = 23.6313 ± 0.0166\n", + "B = 7.2240 ± 0.0044\n", + "covAB = 0.000072\n", + "chi² = 48.46\n", + "P(chi², ∞) = 0.00\n" + ] + }, + { + "data": { + "image/png": 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", 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P13333ad7771Xxx9/vJ5//nl997vfTevr7UvA+eCbsiCp+27e+fn5amho4C7cGDLhcJi708IMfRveqqqqtHr1ai1dulQlJSVuxzkg+oaD0draqp07d2rKlCnJ+5AdrI6ODo0aNWrY/ax40VB8PyTOsQBM7XtrA2CBvsESfYOleDyueDyuQCCQvKTs/peW9fIV1A5lDBaAoerqam4gBTP0DZboGyz1dgW1/a/+5OUrqB3KGCwAQ/ylC0v0DZboGyztfwW13nj5CmqHMgYLwFAwGOQvX5ihb7BE32ApNzdXo0ePVmZmpttRsB+uCgUY4q60sETfYIm+4cMYzDWERo7k38eHylBdy4nBAjC0d+9etyPAR+gbLNE3HIxRo0ZJkpqbmz/0Nrq6uoYqju/t+z7s+758WIx6gCEuXQxL9A2W6BsOxogRI1RQUKBIJCJJys7OTt41eqC6uroYLgbJcRw1NzcrEomooKBAI0aMGNT2GCwAQ62trcrOznY7BnyCvsESfcPB2nffk33DxcFKJBLKyODNN0OhoKBgSO5Dw2ABGDrYf40BBoO+wRJ9w8EKBAIqKSnRhAkT1NHRcdDPb2hoUH5+fhqS+cuoUaMGfaRiHwYLwBBXr4Al+gZL9A0f1ogRIz7UL7ZdXV2Duks0hh7HjwBDjY2NbkeAj9A3WKJvsEbnvIfBAjA0fvx4tyPAR+gbLNE3WKNz3sNgARj6sCeoAR8GfYMl+gZrdM57GCwAQ9yVFpboGyzRN1ijc97DYAEYCgaDbkeAj9A3WKJvsEbnvIfBAjA0FNeIBgaKvsESfYM1Ouc9DBaAoerqarcjwEfoGyzRN1ijc97DYAEYGjdunNsR4CP0DZboG6zROe9hsAAMNTc3ux0BPkLfYIm+wRqd8x4GC8DQyJHc7B526Bss0TdYo3Pew2ABGMrI4EcOdugbLNE3WKNz3sN3BDDU2trqdgT4CH2DJfoGa3TOexgsAEN5eXluR4CP0DdYom+wRue8h8ECMBSNRt2OAB+hb7BE32CNznkPgwVgqLS01O0I8BH6Bkv0DdbonPcwWACGgsGg2xHgI/QNlugbrNE572GwAAxNmjTJ7QjwEfoGS/QN1uic9zBYAIZCoZDbEeAj9A2W6Bus0TnvYbAADBUWFrodAT5C32CJvsEanfMeBgvAUCwWczsCfIS+wRJ9gzU65z0MFoCh0aNHux0BPkLfYIm+wRqd8x4GCwAAAACDxmABGGpvb3c7AnyEvsESfYM1Ouc9DBaAobFjx7odAT5C32CJvsEanfMeBgvAUF1dndsR4CP0DZboG6zROe9hsAAMFRcXux0BPkLfYIm+wRqd8x4GC8BQVVWV2xHgI/Rt+HrtvYi+/8jzerZ9iu56dpd2RpvcjnRA9A3W6Jz3BBzHcdwO4UWxWEz5+flqaGhQXl6e23EAAD7xyPb3dfWjr2jfX8+BQECStHLxTJ05u8zNaADQL45YAIaCwaDbEeAj9G342Rlt0tWPvqKEIzkKyFFACUdKONJVj76iXR4+ckHfYI3OeQ+DBWCoqKjI7QjwEfo2/Dyy/f3kEYoPCgQCenj7+8aJBo6+wRqd8x4GC8BQfX292xHgI/Rt+NlT16K+3qHsOI721LUYJxo4+gZrdM57GCwAQ9nZ2W5HgI/Qt+Hn8HFj+j1icfi4McaJBo6+wRqd8x4GC8BQZ2en2xHgI/Rt+Dlrdlm/RyzO9vDJ2/QN1uic9zBYAIYSiYTbEeAj9G34mVI4VisXz1RGQP84ddtRRkDKCHRfFerIQu/eaZi+wRqd856RbgcA/CQrK8vtCPAR+jY8nTm7TDOKRuu2DVu1M9Kgk46dqm+e5u2hQqJvsEfnvIcjFoChWCzmdgT4CH0bvj56xATdctaJmpe5U9+ed6TnhwqJvsEenfMeBgvAUGFhodsR4CP0DZboG6zROe9hsAAMVVdXux0BPkLfYIm+wRqd8x4GC8BQaWmp2xHgI/QNlugbrNE572GwAAwFg0G3I8BH6Bss0TdYo3Pew2ABGJo4caLbEeAj9A2W6Bus0TnvYbAADEWjUbcjwEfoGyzRN1ijc95jMljce++9OvLII5WVlaU5c+bo+eef73f9devW6ZhjjlFWVpaOO+44PfHEEynLHcfR8uXLVVJSojFjxmj+/Pl6++23k8t37dqlJUuWaMqUKRozZoyOPvpoXX/99Wpvb0/L6wMGKi8vz+0I8BH6Bkv0DdbonPekfbB4+OGHtWzZMl1//fV64YUXdPzxx2vBggWKRCK9rr9lyxadc845WrJkiV588UUtXLhQCxcu1GuvvZZc59Zbb9Vdd92lVatWadu2bRo7dqwWLFig1tZWSdJbb72lRCKhn/3sZ3r99dd1++23a9WqVfre976X7pcL9GtfRwEL9A2W6Bus0TnvCTiO46TzE8yZM0cf//jHdc8990jqvv16WVmZvvWtb+nqq6/usf7ZZ5+tpqYmPf7448nHTjrpJM2aNUurVq2S4ziaNGmSLr/8cn33u9+VJDU0NGjixIl64IEH9KUvfanXHD/60Y/005/+VO++++6AcsdiMeXn56uhoYGJGEOmrq5O48aNczsGfIK+DW9VVVVavXq1li5dqpKSErfjHBB9gzU65z1pPWLR3t6uyspKzZ8//5+fMCND8+fP19atW3t9ztatW1PWl6QFCxYk19+5c6fC4XDKOvn5+ZozZ06f25S6h4/x48f3ubytrU2xWCzlAxhqo0aNcjsCfIS+wRJ9gzU65z1pHSyi0ai6urp6nLU/ceJEhcPhXp8TDof7XX/ffw9mm++8847uvvtuffOb3+wz64oVK5Sfn5/8KCsrk9R9mC0UCimRSCQvaxYMBtXe3q5IJKLGxkbV19ertrZWLS0tCofD6uzsTFm3o6ND4XBYzc3Nqq2tVV1dnZqamlRdXa2Ojo6Udbu6uhQKhdTS0qK9e/eqoaFB8XhcNTU1amtrS1nXcRwFg0G1tbWppqYmORBFo1G1tLQMOHdzc3OvuTs7O3vkbmxs7DV3IpE4YO59eT+YOx6Pq6GhQXv37u0zd0dHh6qrq9XY2Ki6urqDyl1fX6/GxkZFIhG1t7f3mTsajSa/hr3l3vec/nJ3dXX1mrupqUl1dXXJXOFwuMfXcF/ulpaWAedubW3tNXcoFOo1dyQS6ZG7qqrqgLkP1NmqqqqU3PF4/KByR6PRA/6sxePxlJ+1ocy9f2cjkUivP2uhUKjXnzUv7yMaGxvZRwyzfcQHc+8zHPYRe/fuZR8xzPYRw/33iPr6el/vIyx/jxiotL4VKhQKqbS0VFu2bFFFRUXy8SuvvFKbN2/Wtm3bejwnMzNTa9as0TnnnJN87L777tONN96o6upqbdmyRaeccopCoVDKoeGzzjpLgUBADz/8cMr2gsGg5s6dq3nz5ukXv/hFn1nb2trU1taW/P9YLKaysjLeCoUh1dHRwb+wwAx9G96G21uh6Bus0TnvSesRi8LCQo0YMaLHLderq6tVXFzc63OKi4v7XX/ffweyzVAopE996lM6+eSTtXr16n6zjh49Wnl5eSkfwFDr66IFQDrQN1iib7BG57wnrYNFZmamysvL9dRTTyUfSyQSeuqpp1KOYOyvoqIiZX1J2rRpU3L9KVOmqLi4OGWdWCymbdu2pWwzGAxq3rx5Ki8v169+9StlZHDLDrivtLTU7QjwEfoGS/QN1uic96T9t+1ly5bp5z//udasWaM333xTF110kZqamnThhRdKks477zxdc801yfW/853vaOPGjbrtttv01ltv6YYbbtD27dt1ySWXSJICgYAuvfRS/eAHP9Bjjz2mV199Veedd54mTZqkhQsXSvrnUDF58mT9+Mc/Vk1NjcLhcJ/nYABWDva9isBg0DdYom+wRue8Z2S6P8HZZ5+tmpoaLV++XOFwWLNmzdLGjRuTJ1/v3r075WjCySefrLVr1+raa6/V9773PU2dOlUbNmzQsccem1znyiuvVFNTk5YuXar6+np94hOf0MaNG5WVlSWp+wjHO++8o3feeUeHH354Sp40X10X6NdweJ80Dh30DZboG6zROe9J+30shivuY4F0CIVCmjRpktsx4BP0bXgbbidv0zdYo3Pew4kHgCFu5ANL9A2W6Bus0TnvYbAADDU3N7sdAT5C32CJvsEanfMeBgvA0MiRaT+tCUiib7BE32CNznkPgwVgiMsewxJ9gyX6Bmt0znv4jgCGWltb3Y4AH6FvsETfYI3OeQ+DBWCIK4zBEn2DJfoGa3TOexgsAEPRaNTtCPAR+gZL9A3W6Jz3MFgAhrjeNizRN1iib7BG57yHwQIwFAqF3I4AH6FvsETfYI3OeQ+DBWCIf12BJfoGS/QN1uic93ABYMBQKBRSaWlpn8vj8bgaGxv7XJ6Tk6Pc3Nx0RMMh6EB9A4YSfYM1Ouc9DBaAocLCwn6XV1ZWavPmzX0unzt3rubNmzfEqXCoOlDfgKFE32CNznkPgwVgKBaLqaioqM/l5eXlmjZtmqTuq12sX79eixYtSu48c3JyTHLi0HCgvgFDib7BGp3zHgYLwFBWVla/y3Nzc3u81amwsFAlJSXpjIVD1IH6Bgwl+gZrdM57OHkbMJRIJNyOAB+hb7BE32CNznkPgwVgqLOz0+0I8BH6Bkv0DdbonPcwWACGsrOz3Y4AH6FvsETfYI3OeQ+DBWCorq7O7QjwEfoGS/QN1uic9zBYAIaKi4vdjgAfoW+wRN9gjc55D4MFYKiqqsrtCPAR+gZL9A3W6Jz3MFgAhrhDKCzRN1iib7BG57yHwQIwFAwG3Y4AH6Fvw088HldVVZWqqqoUjUYldd8sc99j8Xjc5YR9o2+wRue8hxvkAYYmTJjgdgT4CH0bfiorK7V58+aUx9avX5/889y5czVv3jzjVAND32CNznkPgwVgqLa2VhMnTnQ7BnyCvg0/5eXlmjZtWp/Lc3JyDNMcHPoGa3TOexgsAENjx451OwJ8hL4NP7m5ucrNzXU7xodC32CNznkP51gAhjo6OtyOAB+hb7BE32CNznkPgwVgyHEctyPAR+gbLNE3WKNz3sNgARjKyspyOwJ8hL7BEn2DNTrnPQwWgKFYLOZ2BPgIfYMl+gZrdM57GCwAQ4WFhW5HgI/QN1iib7BG57yHwQIwVF1d7XYE+Ah9gyX6Bmt0znsYLABDpaWlbkeAj9A3WKJvsEbnvIfBAjAUDAbdjgAfoW+wRN9gjc55D4MFYIg7hMISfYMl+gZrdM57GCwAQ9Fo1O0I8BH6Bkv0DdbonPcwWACG8vLy3I4AH6FvsETfYI3OeQ+DBWCotbXV7QjwEfoGS/QN1uic9zBYAIYyMviRgx36Bkv0DdbonPfwHQEMjRw50u0I8BH6Bkv0DdbonPcwWACGmpub3Y4AH6FvsETfYI3OeQ+jHmCooKDA7QjwEfoGS/Rt8OLxuBobG/tcnpOTo9zcXMNE3kbnvIfBAjBUU1PDnUJhhr7BEn0bvMrKSm3evLnP5XPnztW8efPsAnkcnfMeBgvAEDtAWKJvsETfBq+8vFzTpk2T1H2PhvXr12vRokUqLCyU1H3EAv9E57yHcywAQ8FgcEDrvfZeRN9/5Hk92z5Fdz27SzujTWlOhkPRQPsGDAX6Nni5ubkqKSlRSUlJcpgoLCxMPsbboFLROe9hsAAMlZSUHHCdR7a/r/+76m96pmqEdnWN18Ov1OrU257Vuu3vGyTEoWQgfQOGCn2DNTrnPQwWgKFwONzv8p3RJl396CtKOJKjgBwFlHCkhCNd9egr2sWRCxyEA/UNGEr0DdbonPcwWACGxo0b1+/yR7a/r0Ag0OuyQCCghzlqgYNwoL4BQ4m+wRqd8x4GC8BQU1P/Rxz21LXIcZxelzmOoz11LemIhUPUgfoGDCX6Bmt0znsYLABDmZmZ/S4/fNyYfo9YHD5uTDpi4RB1oL4BQ4m+wRqd8x4GC8BDzppd1u8Ri7NnlxknAgAAGBgGC8BQW1tbv8unFI7VysUzlRHQP07ddpQRkDIC0srFM3Vk4VijpDgUHKhvwFCib7BG57yHG+QBhvLy8g64zpmzyzSjaLRu27BVOyMNOunYqfrmaQwVOHgD6RswVOgbrNE57+GIBWAoGo0OaL2PHjFBt5x1ouZl7tS35x3JUIEPZaB9A4YCfYM1Ouc9DBaAoUmTJrkdAT5C32CJvsEanfMeBgvAUCgUcjsCfIS+wRJ9gzU65z0MFoCh0tJStyPAR+gbLNE3WKNz3sNgARgKBoNuR4CP0DdYom+wRue8h8ECMFRYWOh2BPgIfYMl+gZrdM57TAaLe++9V0ceeaSysrI0Z84cPf/88/2uv27dOh1zzDHKysrScccdpyeeeCJlueM4Wr58uUpKSjRmzBjNnz9fb7/9dso6t9xyi04++WRlZ2eroKBgqF8S8KHEYjG3I8BH6Bss0TdYo3Pek/bB4uGHH9ayZct0/fXX64UXXtDxxx+vBQsWKBKJ9Lr+li1bdM4552jJkiV68cUXtXDhQi1cuFCvvfZacp1bb71Vd911l1atWqVt27Zp7NixWrBggVpbW5PrtLe368wzz9RFF12U7pcIDFhWVpbbEeAj9A2W6Bus0TnvSftg8ZOf/ETf+MY3dOGFF2rGjBlatWqVsrOzdf/99/e6/p133qnTTz9dV1xxhaZPn66bb75ZH/vYx3TPPfdI6j5acccdd+jaa6/V5z//ec2cOVMPPvigQqGQNmzYkNzOjTfeqMsuu0zHHXdcul8iMGCJRMLtCPAR+gZL9A3W6Jz3pHWwaG9vV2VlpebPn//PT5iRofnz52vr1q29Pmfr1q0p60vSggULkuvv3LlT4XA4ZZ38/HzNmTOnz20CXtHZ2el2BPgIfYMl+gZrdM57RqZz49FoVF1dXZo4cWLK4xMnTtRbb73V63PC4XCv64fD4eTyfY/1tc6H0dbWpra2tuT/8749pEN2drbbEeAj9A2W6Bus0Tnv4apQ/7BixQrl5+cnP8rKyiRJra2tCoVCSiQSycuaBYNBtbe3KxKJqLGxUfX19aqtrVVLS4vC4bA6OztT1u3o6FA4HFZzc7Nqa2tVV1enpqYmVVdXq6OjI2Xdrq4uhUIhtbS0aO/evWpoaFA8HldNTY3a2tpS1nUcR8FgUG1tbaqpqVEsFlMsFlM0GlVLS8uAczc3N/eau7Ozs0fuxsbGXnMnEokD5t6X94O54/G4GhoatHfv3j5zd3R0qLq6Wo2Njaqrqzuo3PX19WpsbFQkElF7e3ufuaPRaPJr2Fvufc/pL3dXV1evuZuamlRXV6f3338/mfuDX8N9uVtaWlRbW6t4PC5Jqq2t7TN3a2trr7lDoVCvuSORSI/cVVVVB8x9oM5WVVUlc9fX1ysej/f79f5g7mg0esCftXg8nvKzNpS59+9sJBLp9WctFAr1+rPm5X1EbW0t+4hhto/YP/eB9hEDyW25j6iqqmIfMYT7iH3nokYiEX6P6GMfEYlE2EcY7SMGKuA4jnNQzzgI7e3tys7O1u9+9zstXLgw+fj555+v+vp6/f73v+/xnMmTJ2vZsmW69NJLk49df/312rBhg15++WW9++67Ovroo/Xiiy9q1qxZyXXmzp2rWbNm6c4770zZ3gMPPKBLL71U9fX1/Wbt7YhFWVmZGhoalJeXd1CvG+hLV1eXRowYMaB1q6qqtHr1ai1dulQlJSVpToZD0cH0DRgs+ja0+DvgwOic96T1iEVmZqbKy8v11FNPJR9LJBJ66qmnVFFR0etzKioqUtaXpE2bNiXXnzJlioqLi1PWicVi2rZtW5/bHIjRo0crLy8v5QMYaoN5ux5wsOgbLNE3WKNz3pPWcywkadmyZTr//PM1e/ZsnXjiibrjjjvU1NSkCy+8UJJ03nnnqbS0VCtWrJAkfec739HcuXN122236YwzztBDDz2k7du3a/Xq1ZKkQCCgSy+9VD/4wQ80depUTZkyRdddd50mTZqUclRk9+7dqq2t1e7du9XV1aWXXnpJkvQv//IvysnJSffLBnpVWlrqdgT4CH2DJfoGa3TOe9I+WJx99tmqqanR8uXLFQ6HNWvWLG3cuDF58vXu3buVkfHPAycnn3yy1q5dq2uvvVbf+973NHXqVG3YsEHHHntscp0rr7xSTU1NWrp0qerr6/WJT3xCGzduTLme8fLly7VmzZrk/59wwgmSpGeeeUbz5s1L86sGehcMBtkRwgx9gyX6Bmt0znvSeo7FcBaLxZSfn885FhhSHR0dGjVq1IDW5f21GKyD6RswWPRtaPF3wIHROe/hqlCAodraWrcjwEfoGyzRN1ijc97DYAEY4vweWKJvsETfYI3OeQ+DBWCovb3d7QjwEfoGS/QN1uic9zBYAIY4pQmW6Bss0TdYo3Pew2ABGNr/ymVAutE3WKJvsEbnvIfBAjAUi8XcjgAfoW+wRN9gjc55D4MFYOiwww5zOwJ8hL7BEn2DNTrnPQwWgKFIJOJ2BPgIfYMl+gZrdM57GCwAQ9whFJboGyzRN1ijc97DYAEYCgaDbkeAj9A3WKJvsEbnvIfBAjA0ceJEtyPAR+gbLNE3WKNz3sNgARiKRqNuR4CP0DdYom+wRue8h8ECMJSfn+92BPgIfYMl+gZrdM57RrodAPCTlpYWjRkzps/l8XhcjY2Nkv75LzH7/4tMTk6OcnNz0xsSh4wD9Q0YSvQN1uic9zBYAIYyMvo/SFhZWanNmzenPLZ+/frkn+fOnat58+alIxoOQQfqGzCU6Bus0TnvYbAADI0c2f+PXHl5uaZNm9bn8pycnKGOhEPYgfoGDCX6Bmt0znv4jgCGmpub+x0OcnNzeasThsyB+gYMJfoGa3TOeziGBBgqKChwOwJ8hL7BEn2DNTrnPQwWgKGamhq3I8BH6Bss0TdYo3Pew2ABGCotLXU7AnyEvsESfYM1Ouc9DBaAoWAw6HYE+Ah9gyX6Bmt0znsYLABDJSUlbkeAj9A3WKJvsEbnvIfBAjAUDofdjgAfoW+wRN+Gzs5ok+56dpeebZ+i7z/yvF57L+J2JE+ic94TcBzHcTuEF8ViMeXn56uhoUF5eXlux8EhorW1VVlZWW7HgE/QN1iib0Pjke3v6+pHX5Ek7fsVLRAIaOXimTpzdpmb0TyHznkPRywAQ42NjW5HgI/QN1iib4O3M9qkqx99RQlHSjiSo4AcBZRwpKsefUW7ok1uR/QUOuc9DBaAoczMTLcjwEfoGyzRt8F7ZPv7CgQCvS4LBAJ6ePv7xom8jc55D4MFAACAB+ypa1Ff71B3HEd76lqMEwEHh8ECMNTW1uZ2BPgIfYMl+jZ4h48b0+8Ri8PHjTFO5G10znsYLABDXAgAlugbLNG3wTtrdlm/RyzO5uTtFHTOexgsAEN79+51OwJ8hL7BEn0bvCmFY7Vy8UxlBKSMgP5x6rajjIC0cvFMHVk41u2InkLnvIfLzfaBy80iHRzH6fMwNzDU6Bss0behsyvapJ9tekX/89rbmjIhX5cvrNBHj5jgdizPoXPewxELwFAoFHI7AnyEvsESfRs6RxaO1bfnHal5mTt1y1knMlT0gc55D4MFYKi0tNTtCPAR+gZL9A3W6Jz3MFgAhoLBoNsR4CP0DZboG6zROe9hsAAMFRYWuh0BPkLfYIm+wRqd8x4GC8BQQ0OD2xHgI/QNlugbrNE572GwAAyNGcPNjWCHvsESfYM1Ouc9DBaAoUQi4XYE+Ah9gyX6Bmt0znsYLABDnZ2dbkeAj9A3WKJvsEbnvIfBAjCUnZ3tdgT4CH2DJfoGa3TOexgsAEP19fVuR4CP0DdYom+wRue8h8ECMDRhAndPhR36Bkv0DdbonPcwWACGwuGw2xHgI/QNlugbrNE572GwAAyVlpa6HQE+Qt9gib7BGp3zHgYLwFAwGHQ7AnyEvsESfYM1Ouc9DBaAId4PCkv0DZboG6zROe9hsAAM1dbWuh0BPkLfYIm+wRqd8x4GC8BQTk6O2xHgI/QNlugbrNE572GwAAy1t7e7HQE+Qt9gib7BGp3zHgYLAAAAAIPGYAEYyszMdDsCfIS+wRJ9gzU65z0MFoChxsZGtyPAR+gbLNE3WKNz3sNgARgaP3682xHgI/QNlugbrNE572GwAAxFIhG3I8BH6Bss0TdYo3PeM9LtAPineDze72G9nJwc5ebmGibCUCstLXU7AnyEvsESfYM1Ouc9DBYeUllZqc2bN/e5fO7cuZo3b55dIAy5YDDIjhBm6Bss0TdYo3Pew2DhIeXl5Zo2bZokKRqNav369Vq0aJEKCwslcSOYQ0FxcbHbEeAj9A2W6Bus0Tnv4RwLD8nNzVVJSYlKSkqSw0RhYWHyMd4GNfzxflBYom+wRN9gjc55D4MFYKigoMDtCPAR+gZL9A3W6Jz3mAwW9957r4488khlZWVpzpw5ev755/tdf926dTrmmGOUlZWl4447Tk888UTKcsdxtHz5cpWUlGjMmDGaP3++3n777ZR1amtrde655yovL08FBQVasmQJ1zuG61paWtyOAB+hb7BE32CNznlP2geLhx9+WMuWLdP111+vF154Qccff7wWLFjQ5+GrLVu26JxzztGSJUv04osvauHChVq4cKFee+215Dq33nqr7rrrLq1atUrbtm3T2LFjtWDBArW2tibXOffcc/X6669r06ZNevzxx/WXv/xFS5cuTffLBfqVkcFBQtihb7BE32CNznlP2r8jP/nJT/SNb3xDF154oWbMmKFVq1YpOztb999/f6/r33nnnTr99NN1xRVXaPr06br55pv1sY99TPfcc4+k7qMVd9xxh6699lp9/vOf18yZM/Xggw8qFAppw4YNkqQ333xTGzdu1C9+8QvNmTNHn/jEJ3T33XfroYceUigUSvdLBvo0YsQItyPAR+gbLNE3WKNz3pPWq0K1t7ersrJS11xzTfKxjIwMzZ8/X1u3bu31OVu3btWyZctSHluwYEFyaNi5c6fC4bDmz5+fXJ6fn685c+Zo69at+tKXvqStW7eqoKBAs2fPTq4zf/58ZWRkaNu2bfrCF77Q4/O2tbWpra0t+f+xWKz7Dy+9JO1/NaZx46QpU6TWVumNN3q+gI99rPu/O3ZITU2py448Uho/Xqqpkd5/P3VZbq40darU1SW9/LJG1tSoOBTSyFdekaqqpOOOk0aNkv73f6WGhtTnlpZKEydKdXXSzp2py8aMkaZP7/7ziy9KjpO6fPr07nXee0/auzd12cSJ3duOx6UPvNVMo0Z1Z5KkV1+VOjpSl0+d2v2agkGpujp12WGHSUccIbW0SG++mbosEJBOOKH7z2++2b3O/qZM6f4eVFd3b3t/+fnS0Ud3Z3n1VfVw/PHSiBHdryUeT11WViYVFUm1tdKuXanLxo6V/nG1Lr3wQs/tzpghZWV1f+3r6lKXlZR0f8Ri0jvvqKO2trsDkjR6tPTRj3b/+ZVXpM7O1Od+5CPd3duzR/rgEb7CQmnyZKm5WXrrrdRlGRnSrFndf37jje6u7u+oo6SCAikclj44aBcUdC9vb5f2O0qYNGtW9/b//nfpg28tnDy5O1c0Ku3enbosJ6f79SQS3T9TH3TssVJmpvTuu1J9feqySZOk4uLux999N3VZVlb311/q3m4ikbr8mGOk7OzuPNFo6rIJE6TDD+9+HX//e+qykSOlmTO7//z669J++wZJ0r/8i5SX1/2zWVWVusxoH9FDL/uIZN/YR3QbBvuIFMNsH9FRWyv967+yj5CGZB8x4p13Un8PkIZ8H5E0TPcRLbW1yv3gdtlH/NNQ7iP2/d11IE4aBYNBR5KzZcuWlMevuOIK58QTT+z1OaNGjXLWrl2b8ti9997rTJgwwXEcx3nuueccSU4oFEpZ58wzz3TOOussx3Ec55ZbbnE+8pGP9Nh2UVGRc9999/X6ea+//npHUo+Phu4foX9+nHuus2fPHqft9ddTH//HR1VVldPR0eG0fexjPZa1/uIXzt69e52mW2/t+dxPf9rZs2eP01lb2+t2a954w2ltbXWaTzutx7KOlSudSCTiND3wQI9liRNOcPbs2eM4juMkMjN7LK9/7jmnqanJafryl3ss67rySqeqqsppefLJntstLU1ut7O4uMfy+B/+4MRiMafp29/u+dyvfa37a/jCCz2XZWY6wWDQ6erqctqOPbbH8uYHH3Rqa2udpptv7vl1+rd/c/bs2eN0hEK9fg0j77zjtLW1OS1z5/ZY1vaTnzg1NTVO8+rVPTOddFLytfa23drnn3eam5udpkWLeizrvPZaJxwOOy0bNvTc7tFH//NrOH58j+WxP/3JicfjTtM3v9nzuRdd5ASDQad1y5aey3JznWAw6CQSCaf9Ix/psbzpoYec+vp6p/Haa3u+ni9+0dmzZ4/T/u67vb7W8HvvOe3t7U7rSSf1/Bree293v++8s+dz58519uzZ43Q1N/e63b0vv+y0tLQ4zWec0bPfN9/sVFdXO00PPdTztc6YkfwaduXk9Fje8MwzTmNjo9N0wQU9+/2d7zihUMhpfeaZntstLExut+OII3osb3z0UaehocFpuuKKnq+HfUT3dtlHJD/YR7CPSPkY4D6icebMHsvYR6TuIxq3beu5jH1E8mNI9xEDFOh+jekRCoVUWlqqLVu2qKKiIvn4lVdeqc2bN2vbtm09npOZmak1a9bonHPOST5233336cYbb1R1dbW2bNmiU045RaFQSCUlJcl1zjrrLAUCAT388MP64Q9/qDVr1mjHjh0p254wYYJuvPFGXXTRRT0+b29HLMrKytSwebPyXDhiUVNTk7yPRVFR0SH5Lw1+/NfISCSiCRMmdC8bZv8aKYkjFvsMkyMWyb6xj+g2DPYRKYbZPiISiWjCpz/NPkIakn1E5L//W//561//8/cAiSMW+/xjHxF85x2V7nuHyT7sI/7JhSMWaR0s2tvblZ2drd/97ndauHBh8vHzzz9f9fX1+v3vf9/jOZMnT9ayZct06aWXJh+7/vrrtWHDBr388st69913dfTRR+vFF1/UrH0vWt13pZ41a5buvPNO3X///br88stVt983p7OzU1lZWVq3bl2vb4X6oFgspvz8fDU0NCgvL+9Dvf7BqKqq0urVq7V06dKUAQoAABz6+D0Aw1FaT97OzMxUeXm5nnrqqeRjiURCTz31VMoRjP1VVFSkrC9JmzZtSq4/ZcoUFRcXp6wTi8W0bdu25DoVFRWqr69XZWVlcp2nn35aiURCc+bMGbLXBxys4Af/dQRII/oGS/QN1uic96T15G1JWrZsmc4//3zNnj1bJ554ou644w41NTXpwgsvlCSdd955Ki0t1YoVKyRJ3/nOdzR37lzddtttOuOMM/TQQw9p+/btWr16tSQpEAjo0ksv1Q9+8ANNnTpVU6ZM0XXXXadJkyYlj4pMnz5dp59+ur7xjW9o1apV6ujo0CWXXKIvfelLmjRpUrpfMtAn/tUJlugbLNE3WKNz3pP2weLss89WTU2Nli9frnA4rFmzZmnjxo2aOHGiJGn37t0p1yE++eSTtXbtWl177bX63ve+p6lTp2rDhg069thjk+tceeWVampq0tKlS1VfX69PfOIT2rhxo7KyspLr/OY3v9Ell1yiU089VRkZGVq8eLHuuuuudL9coF/hcJjhFmboGyzRN1ijc96T1nMshjPOsUA6tLa2pgzAQDrRN1iib0OL3wMOjM55D7csBAw1fvAqKUAa0TdYom+wRue8h8ECMJSZmel2BPgIfYMl+gZrdM57GCwAAAAADBqDBWCovb3d7QjwEfoGS/QN1uic9zBYAIZy9r+LO5Bm9A2W6Bus0TnvYbAADNXW1rodAT5C32CJvsEanfMeBgvAUHFxsdsR4CP0DZboG6zROe9hsAAMVVVVuR0BPkLfYIm+wRqd856033kbwD+Vlpa6HQE+Qt9gib4NXjweT96bIRqNpvxX6j6nIDc315VsXkTnvIfBAjAUDAbZEcIMfYMl+jZ4lZWV2rx5c8pj69evT/557ty5mjdvnnEq76Jz3sNgARgqKipyOwJ8hL7BEn0bvPLyck2bNq3P5VwFKRWd8x4GC8BQfX29JkyY4HYM+AR9gyX6Nni5ubm81ekg0Dnv4eRtwNCYMWPcjgAfoW+wRN9gjc55D4MFYKirq8vtCPAR+gZL9A3W6Jz3MFgAhhKJhNsR4CP0DZboG6zROe9hsAAMcdgWlugbLNE3WKNz3sNgARiqr693OwJ8hL7BEn2DNTrnPQwWgCGuXgFL9A2W6Bus0TnvYbDwoJ3RJt317C492z5F33/keb32XsTtSBgi4XDY7QjwEfoGS/QN1uic9wQcx3HcDuFFsVhM+fn5amhoUF5entnnfWT7+7r60VckSfu+NYFAQCsXz9SZs8vMcgAAAAAHgyMWHrIz2qSrH31FCUdKOJKjgBwFlHCkqx59RbuiTW5HxCAFg0G3I8BH6Bss0TdYo3Pew2DhIY9sf1+BQKDXZYFAQA9vf984EYYa7weFJfoGS/QN1uic9zBYeMieuhb19c40x3G0p67FOBGGWm1trdsR4CP0DZboG6zROe9hsPCQw8eN6feIxeHjuF7zcJeTk+N2BPgIfYMl+gZrdM57GCw85KzZZf0esTibk7eHvfb2drcjwEfoGyzRN1ijc97DYOEhUwrHauXimcoISBkB/ePUbUcZAWnl4pk6snCs2xEBAACAXo10OwBSnTm7TB8/crx+tukV/c9rb2vKhHxdvrBCHz2CE5QOBZmZmW5HgI/QN1iib7B2KHcuHo+rsbGxz+U5OTnKzc01TDQwDBYedGThWH173pHK+vt/aelZS1VSwlBxqGhsbNTYsRx5gg36Bkv0DdYO5c5VVlZq8+bNfS6fO3eu5s2bZxdogBgsAEPjx493OwJ8hL7BEn2DtUO5c+Xl5Zo2bZokKRqNav369Vq0aJEKCwsleffEdc6xAAxFIhG3I8BH6Bss0TdYO5Q7l5ubq5KSEpWUlCSHicLCwuRjXnwblMRgAZgqLS11OwJ8hL7BEn2DNTrnPQwWgKFgMOh2BPgIfYMl+gZrdM57GCwAQ8XFxW5HgI/QN1iib7BG57yHwQIwdCi/HxTeQ99gib7BGp3zHgYLwFBBQYHbEeAj9A2W6Bus0TnvYbAADDU3N7sdAT5C32CJvsEanfMeBgvA0MiR3DoGdugbLNE3WKNz3sNgARjKyOBHDnboGyzRN1ijc97DdwQw1NLS4nYE+Ah9gyX6Bmt0znsYLABD+fn5bkeAj9A3WKJvsEbnvIfBAjAUjUbdjgAfoW+wRN9gjc55D4MFYKi0tNTtCPAR+gZL9A3W6Jz3MFgAhoLBoNsR4CP0DZboG6zROe9hsAAMTZo0ye0I8BH6Bkv0DdbonPcwWACGqqqq3I4AH6FvsETfYI3OeQ+DBWDosMMOczsCfIS+wRJ9gzU65z0MFoChWCzmdgT4CH2DJfoGa3TOexgsAEOjR492OwJ8hL7BEn2DNTrnPQwWAAAAAAaNwQIw1N7e7nYE+Ah9gyX6Bmt0znsYLABDOTk5bkeAj9A3WKJvsEbnvIfBAjBUW1vrdgT4CH2DJfoGa3TOexgsAEPFxcVuR4CP0DdYom+wRue8h8ECMMTNfGCJvsESfYM1Ouc9DBaAodLSUrcjwEfoGyzRN1ijc97DYAEYCgaDbkeAj9A3WKJvsEbnvIfBAjBUVFTkdgT4CH2DJfoGa3TOexgsAEP19fVuR4CP0DdYom+wRue8J22DRW1trc4991zl5eWpoKBAS5YsUWNjY7/PaW1t1cUXX6zDDjtMOTk5Wrx4saqrq1PW2b17t8444wxlZ2drwoQJuuKKK9TZ2ZlcXlVVpS9/+cv6yEc+ooyMDF166aXpeHnAh5Kdne12BPgIfYMl+gZrdM570jZYnHvuuXr99de1adMmPf744/rLX/6ipUuX9vucyy67TH/4wx+0bt06bd68WaFQSIsWLUou7+rq0hlnnKH29nZt2bJFa9as0QMPPKDly5cn12lra1NRUZGuvfZaHX/88el6eWkRj8dVVVWlqqoqRaNRSVI0Gk0+Fo/HXU6Iwdp/CAbSjb7BEn2DNTrnPQHHcZyh3uibb76pGTNm6G9/+5tmz54tSdq4caM++9nPas+ePZo0aVKP5zQ0NKioqEhr167VF7/4RUnSW2+9penTp2vr1q066aST9OSTT+pzn/ucQqGQJk6cKElatWqVrrrqKtXU1CgzMzNlm/PmzdOsWbN0xx13HPRriMViys/PV0NDg/Ly8g76+R/Gs88+q82bN/e5fO7cuZo3b55JFqRHbW2txo8f73YM+AR9gyX6Bmt+6VxVVZVWr16tpUuXqqSkxO04/RqZjo1u3bpVBQUFyaFCkubPn6+MjAxt27ZNX/jCF3o8p7KyUh0dHZo/f37ysWOOOUaTJ09ODhZbt27VcccdlxwqJGnBggW66KKL9Prrr+uEE05Ix8sxU15ermnTpvW5nFvXD39jxoxxOwJ8hL7BEn2DNTrnPWkZLMLhsCZMmJD6iUaO1Pjx4xUOh/t8TmZmpgoKClIenzhxYvI54XA4ZajYt3zfssFoa2tTW1tb8v9jsdigtvdh5ObmKjc31/zzwk5DQwM7Qpihb7BE32CNznnPQZ1jcfXVVysQCPT78dZbb6Ura1qtWLFC+fn5yY+ysjJJ3SeUh0IhJRKJ5PWSg8Gg2tvbFYlE1NjYqPr6etXW1qqlpUXhcFidnZ0p63Z0dCgcDqu5uVm1tbWqq6tTU1OTqqur1dHRkbJuV1eXQqGQWlpatHfvXjU0NCgej6umpkZtbW0p6zqOo2AwqLa2NtXU1CgWiykWiykajaqlpWXAuZubm3vN3dnZ2SN3Y2Njr7kTicQBc+/L+8Hc8XhcDQ0N2rt3b5+5Ozo6VF1drcbGRtXV1R1U7vr6ejU2NioSiai9vb3P3NFoNPk17C33vuf0l7urq6vX3E1NTaqrq9OIESOSuT/4NdyXu6WlZcC5W1tbe80dCoV6zR2JRHrkrqqqOmDuA3W2qqoqJXc8Hj+o3NFo9IA/a/F4POVnbShz79/ZSCTS689aKBTq9WfNy/uIww47jH3EMNtH7J97uO0jsrOz2UcMs33EcP89Ijc31xf7iL1790rq/kdvt/YRA3VQ51jU1NQkX1xfjjrqKP3617/W5Zdfrrq6uuTjnZ2dysrK0rp163p9K9TTTz+tU089VXV1dSlHLY444ghdeumluuyyy7R8+XI99thjeumll5LLd+7cqaOOOkovvPBCj7dCHcw5Fr0dsSgrKzM9xwKHvmAwyJ1CYYa+wRJ9gzW/dO6QPceiqKhoQDcjqaioUH19vSorK1VeXi6pe3BIJBKaM2dOr88pLy/XqFGj9NRTT2nx4sWSpB07dmj37t2qqKhIbveWW25RJBJJvtVq06ZNysvL04wZMw7mpfQwevRojR49elDbAA7EDztAeAd9gyX6Bmt0znvScrnZ6dOn6/TTT9c3vvENPf/883ruued0ySWX6Etf+lLyilDBYFDHHHOMnn/+eUlSfn6+lixZomXLlumZZ55RZWWlLrzwQlVUVOikk06SJH3605/WjBkz9NWvflUvv/yy/vSnP+naa6/VxRdfnDIUvPTSS3rppZfU2NiompoavfTSS3rjjTfS8VKBg3KwhxSBwaBvsETfYI3OeU9aTt6WpN/85je65JJLdOqppyojI0OLFy/WXXfdlVze0dGhHTt2qLm5OfnY7bffnly3ra1NCxYs0H333ZdcPmLECD3++OO66KKLVFFRobFjx+r888/XTTfdlPK5939LVGVlpdauXasjjjhCu3btStfLBQbkgxc1ANKJvsESfYM1Ouc9abmPxaHAjftY4NAXDodVXFzsdgz4BH2DJfoGa37p3HA6xyJtd94G0BNDKizRN1iib7BG57yHwQIw1Nra6nYE+Ah9gyX6Bmt0znsYLABDgUDA7QjwEfoGS/QN1uic9zBYAIYyMzPdjgAfoW+wRN9gjc55D4MFYKixsdHtCPAR+gZL9A3W6Jz3MFgAhsaPH+92BPgIfYMl+gZrdM57GCwAQ5FIxO0I8BH6Bkv0DdbonPcwWACGSktL3Y4AH6FvsETfYI3OeQ+DBWAoGAy6HQE+Qt9gib7BGp3zHgYLwJAf7hAK76BvsETfYI3OeQ+DBWCourra7QjwEfoGS/QN1uic9zBYAIbGjRvndgT4CH2DJfoGa3TOexgsAEPNzc1uR4CP0DdYom+wRue8h8ECMDRy5Ei3I8BH6Bss0TdYo3Pew2ABGMrI4EcOdugbLNE3WKNz3sN3BDDU2trqdgT4CH2DJfoGa3TOexgsAEN5eXluR4CP0DdYom+wRue8h8ECMBSNRt2OAB+hb7BE32DND5177b2Ivv/I83q2fYruenaXdkab3I7Ur4DjOI7bIbwoFospPz9fDQ0NTMQAAAAw9cj293X1o69o36/qgUBAkrRy8UydObvMzWh94ogFYCgYDLodAT5C32CJvsHaody5ndEmXf3oK0o4kqOAHAWUcKSEI1316Cva5dEjFwwWgKFJkya5HQE+Qt9gib7B2qHcuUe2v588QvFBgUBAD29/3zjRwDBYAIZCoZDbEeAj9A2W6BusHcqd21PXor7OVnAcR3vqWowTDQyDBWCosLDQ7QjwEfoGS/QN1g7lzh0+bky/RywOHzfGONHAMFgAhmKxmNsR4CP0DZboG6wdyp07a3ZZv0cszubkbQCjR492OwJ8hL7BEn2DtUO5c1MKx2rl4pnKCOgfp247yghIGYHuq0IdWTjW7Yi9Gul2AAAAAACpzpxdphlFo3Xbhq3aGWnQScdO1TdP8+5QIXHEAjDV3t7udgT4CH2DJfoGa37o3EePmKBbzjpR8zJ36tvzjvT0UCExWACmxo719g4Bhxb6Bkv0DdbonPcwWACG6urq3I4AH6FvsETfYI3OeQ+DBWCouLjY7QjwEfoGS/QN1uic9zBYAIaqqqrcjgAfoW+wRN9gjc55D4MFYKi0tNTtCPAR+gZL9A3W6Jz3MFgAhoLBoNsR4CP0DZboG6zROe9hsAAMFRUVuR0BPkLfYIm+wRqd8x4GC8BQfX292xHgI/QNlugbrNE572GwAAxlZ2e7HQE+Qt9gib7BGp3zHgYLwFBnZ6fbEeAj9A2W6Bus0TnvYbAADCUSCbcjwEfoGyzRN1ijc97DYAEYysrKcjsCfIS+wRJ9gzU65z0MFoChWCzmdgT4CH2DJfoGa3TOexgsAEOFhYVuR4CP0DdYom+wRue8h8ECMFRdXe12BPgIfYMl+gZrdM57GCwAQ6WlpW5HgI/QN1iib7BG57yHwQIwFAwG3Y4AH6FvsETfYI3OeQ+DBWBo4sSJbkeAj9A3WKJvsEbnvIfBAjAUjUbdjgAfoW+wRN9gjc55D4MFYCgvL8/tCPAR+gZL9A3W6Jz3MFgAhlpbW92OAB+hb7BE32CNznkPgwVgKBAIuB0BPkLfYIm+wRqd8x4GC8DQqFGj3I4AH6FvsETfYI3OeQ+DBWCoqanJ7QjwEfoGS/QN1uic94x0OwDgJ+PHj3c7AoaJeDyuxsbGPpfn5OQoNze3323QN1iib7BG57yHwQIwFIlEuFMoBqSyslKbN2/uc/ncuXM1b968frdB32CJvsEanfMeBgvAEDtADFR5ebmmTZsmqfta7evXr9eiRYtUWFgoqfuIxYHQN1iib7BG57yHcywAQ8Fg0O0IGCZyc3NVUlKikpKS5DBRWFiYfOxAb4OS6Bts0TdYo3Pew2ABGCopKXE7AnyEvsESfYM1Ouc9DBaAoXA47HYE+Ah9gyX6Bmt0znsYLABD48aNczsCfIS+wRJ9gzU65z0MFoCh5uZmtyPAR+gbLNE3WKNz3pPWwaK2tlbnnnuu8vLyVFBQoCVLlvR7XXZJam1t1cUXX6zDDjtMOTk5Wrx4saqrq1PW2b17t8444wxlZ2drwoQJuuKKK9TZ2Zlcvn79ep122mkqKipSXl6eKioq9Kc//SktrxE4GCNHciE22KFvsETfYI3OeU9aB4tzzz1Xr7/+ujZt2qTHH39cf/nLX7R06dJ+n3PZZZfpD3/4g9atW6fNmzcrFApp0aJFyeVdXV0644wz1N7eri1btmjNmjV64IEHtHz58uQ6f/nLX3TaaafpiSeeUGVlpT71qU/p3/7t3/Tiiy+m7bUCA5GRwUFC2KFvsETfYI3OeU/aRr0333xTGzdu1N/+9jfNnj1bknT33Xfrs5/9rH784x9r0qRJPZ7T0NCgX/7yl1q7dq3+9V//VZL0q1/9StOnT9f//M//6KSTTtJ//dd/6Y033tCf//xnTZw4UbNmzdLNN9+sq666SjfccIMyMzN1xx13pGz3hz/8oX7/+9/rD3/4g0444YR0vWTggFpbWwd0mVBgKNA3WKJvsEbnvCdto97WrVtVUFCQHCokaf78+crIyNC2bdt6fU5lZaU6Ojo0f/785GPHHHOMJk+erK1btya3e9xxx2nixInJdRYsWKBYLKbXX3+91+0mEgnF4/F+b/3e1tamWCyW8gEMtby8PLcjwEfoGyzRN1ijc96TtsEiHA5rwoQJKY+NHDlS48eP7/PyYOFwWJmZmSooKEh5fOLEicnnhMPhlKFi3/J9y3rz4x//WI2NjTrrrLP6zLtixQrl5+cnP8rKyiR1T8OhUEiJRCJ5I5ZgMKj29nZFIhE1Njaqvr5etbW1amlpUTgcVmdnZ8q6HR0dCofDam5uVm1trerq6tTU1KTq6mp1dHSkrNvV1aVQKKSWlhbt3btXDQ0NisfjqqmpUVtbW8q6juMoGAyqra1NNTU1yYEoGo2qpaVlwLmbm5t7zd3Z2dkjd2NjY6+5E4nEAXPvy/vB3PF4XA0NDdq7d2+fuTs6OlRdXa3GxkbV1dUdVO76+no1NjYqEomovb29z9zRaDT5Newt977n9Je7q6ur19xNTU2qq6vTrl27krk/+DXcl7ulpWXAuVtbW3vNHQqFes0diUR65K6qqjpg7gN1tqqqKiV3PB4/qNzRaPSAP2vxeDzlZ20oc+/f2Ugk0uvPWigU6vVnzWIfEYlEJEmRSOSg9hE1NTXsI4bZPmL/3MNtHxEMBtlHuLSP8OvvEVVVVb7YR+zdu1eSFIvFXNtHDFTAcRznYJ5w9dVXa+XKlf2u8+abb2r9+vVas2aNduzYkbJswoQJuvHGG3XRRRf1eN7atWt14YUXqq2tLeXxE088UZ/61Ke0cuVKLV26VO+9917KydjNzc0aO3asnnjiCX3mM5/psc1vfOMb+v3vf59yJOSD2traUj5vLBZTWVmZGhoamIgxZBzHUSAQcDsGhpmqqiqtXr1aS5cuPagbQtE3WKJvsOaXzn3YvwPccNDnWFx++eW64IIL+l3nqKOOUnFxcfJf2fbp7OxUbW2tiouLe31ecXGx2tvbVV9fn3LUorq6Ovmc4uJiPf/88ynP23fVqA9u96GHHtLXv/51rVu3rt+hQpJGjx6t0aNH97sOMFihUEilpaVux4BP0DdYom+wRue856AHi6KiIhUVFR1wvYqKCtXX16uyslLl5eWSpKefflqJREJz5szp9Tnl5eUaNWqUnnrqKS1evFiStGPHDu3evVsVFRXJ7d5yyy2KRCLJt1pt2rRJeXl5mjFjRnJbv/3tb/W1r31NDz30kM4444yDfZlAWvR20QIgXegbLNE3WKNz3pO2cyymT5+u008/Xd/4xjf0/PPP67nnntMll1yiL33pS8kiBINBHXPMMckjEPn5+VqyZImWLVumZ555RpWVlbrwwgtVUVGhk046SZL06U9/WjNmzNBXv/pVvfzyy/rTn/6ka6+9VhdffHHyiMPatWt13nnn6bbbbtOcOXMUDocVDofV0NCQrpcLDEgoFHI7AnyEvsESfYM1Ouc9ab0A8G9+8xsdc8wxOvXUU/XZz35Wn/jEJ7R69erk8o6ODu3YsSPlzom33367Pve5z2nx4sX65Cc/qeLiYq1fvz65fMSIEXr88cc1YsQIVVRU6Ctf+YrOO+883XTTTcl1Vq9erc7OTl188cUqKSlJfnznO99J58sFDqiwsNDtCPAR+gZL9A3W6Jz3pPWWhePHj9fatWv7XH7kkUfqg+eOZ2Vl6d5779W9997b5/OOOOIIPfHEE30uf/bZZw86K2AhFosN6K2EwFCgb7BE32CNznkPtywEDGVlZbkdAT5C32CJvsEanfMeBgvAUCKRcDsCfIS+wRJ9gzU65z0MFoChzs5OtyPAR+gbLNE3WKNz3sNgARjKzs52OwJ8hL7BEn2DNTrnPQwWgKG6ujq3I8BH6Bss0TdYo3Pew2ABGOrrrvNAOtA3WKJvsEbnvIfBAjBUVVXldgT4CH2DJfoGa3TOexgsAEOlpaVuR4CP0DdYom+wRue8h8ECMBQMBt2OAB+hb7BE32CNznkPgwVgaMKECW5HgI/QN1iib7BG57yHwQIwVFtb63YE+Ah9gyX6Bmt0znsYLABDY8eOdTsCfIS+wRJ9gzU65z0j3Q4A+ElHR4fbEeAj9A2W6BusHcqdi8fjamxslCRFo9GU/0pSTk6OcnNzXcnWHwYLwJDjOG5HgI/QN1iib7B2KHeusrJSmzdvTnls/fr1yT/PnTtX8+bNM051YAwWgKGsrCy3I8BH6Bss0TdYO5Q7V15ermnTpvW5PCcnxzDNwDFYAIZisZiys7PdjgGfoG+wRN9g7VDuXG5uriff6nQgnLwNGCosLHQ7AnyEvsESfYM1Ouc9DBaAoerqarcjYJh57b2Ivv/I83q2fYruenaXdkabBvxc+gZL9A3W6Jz3BJxD+cyXQYjFYsrPz1dDQ4Py8vLcjgPAhx7Z/r6ufvSV5AmKgUBAkrRy8UydObvMzWgAAPTAEQvAUDAYdDsChomd0SZd/egrSjiSo4AcBZRwpIQjXfXoK9o1gCMX9A2W6Bus0TnvYbAADE2cONHtCBgmHtn+fvIIxQcFAgE9vP39A26DvsESfYM1Ouc9DBaAof1vbgP0Z09dS5/XaHccR3vqWg64DfoGS/QN1uic9zBYAIY4XwcDdfi4Mf0esTh83JgDboO+wRJ9gzU65z0MFoCh1tZWtyNgmDhrdlm/RyzOHsDJ2/QNlugbrNE572GwAAxlZPAjh4GZUjhWKxfPVEZA/zh121FGQMoIdF8V6sjCsQfcBn2DJfoGa3TOe7jzNmBo5Eh+5DBwZ84u04yi0bptw1btjDTopGOn6punDWyokOgbbNE3WKNz3sOoBxhqbm52OwKGmY8eMUG3nHWi5mXu1LfnHTngoUKib7BF32CNznkPgwVgqKCgwO0I8BH6Bkv0DdbonPcwWACGampq3I4AH6FvsETfYI3OeQ+DBWCotLTU7QjwEfoGS/QN1uic9zBYAIaCwaDbEeAj9A2W6Bus0TnvYbAADJWUlLgdAT5C32CJvsEanfMeBgvAUDgcdjsCfIS+wRJ9gzU65z0MFoChcePGuR0BPkLfYIm+wRqd8x4GC8BQU1OT2xHgI/QNlugbrNE572GwAAxlZma6HQE+Qt9gib7BGp3zHgYLAAAAAIPGYAEYamtrczsCfIS+wRJ9gzU65z0MFoChvLw8tyPAR+gbLNE3WKNz3sNgARiKRqNuR4CP0DdYom+wRue8h8ECMDRp0iS3I8BH6Bss0TdYo3Pew2ABGAqFQm5HgI/QN1iib7BG57yHwQIwVFpa6nYE+Ah9gyX6Bmt0znsYLABDwWDQ7QjwEfoGS/QN1uic9zBYAIYKCwvdjgAfoW+wRN9gjc55D4MFYCgWi7kdAT5C32CJvsEanfMeBgvAUFZWltsR4CP0DZboG6zROe9hsAAMJRIJtyPAR+gbLNE3WKNz3sNgARjq7Ox0OwJ8hL7BEn2DNTrnPQwWgKHs7Gy3I8BH6Bss0TdYo3Pew2ABGKqrq3M7AnyEvsESfYM1Ouc9DBaAoYkTJ7odAT5C32CJvsEanfMeBgvAUDgcdjsCfIS+wRJ9gzU65z0MFoCh0tJStyPAR+gbLNE3WKNz3sNgARgKBoNuR4CP0DdYom+wRue8h8ECMDRhwgS3I8BH6Bss0TdYo3Pew2ABGKqtrXU7AnyEvsESfYM1Ouc9DBaAoZycHLcjwEfoGyzRN1ijc96T1sGitrZW5557rvLy8lRQUKAlS5aosbGx3+e0trbq4osv1mGHHaacnBwtXrxY1dXVKevs3r1bZ5xxhrKzszVhwgRdccUVKXdf/Otf/6pTTjlFhx12mMaMGaNjjjlGt99+e1peI3Aw2tvb3Y4AH6FvsETfYI3Oec/IdG783HPPVVVVlTZt2qSOjg5deOGFWrp0qdauXdvncy677DL98Y9/1Lp165Sfn69LLrlEixYt0nPPPSdJ6urq0hlnnKHi4mJt2bJFVVVVOu+88zRq1Cj98Ic/lCSNHTtWl1xyiWbOnKmxY8fqr3/9q775zW9q7NixWrp0aTpfMtAvx3HcjoBhIh6PJ/8hJhqNpvxX6v6Xutzc3H63Qd9gib7BGp3znoCTpu/Km2++qRkzZuhvf/ubZs+eLUnauHGjPvvZz2rPnj2aNGlSj+c0NDSoqKhIa9eu1Re/+EVJ0ltvvaXp06dr69atOumkk/Tkk0/qc5/7nEKhUPLGKKtWrdJVV12lmpoaZWZm9ppn0aJFGjt2rP7jP/5jQPljsZjy8/PV0NCgvLy8D/MlAHpobm5Wdna22zEwDDz77LPavHlzn8vnzp2refPm9bsN+gZL9A3W6Jz3pO2IxdatW1VQUJAcKiRp/vz5ysjI0LZt2/SFL3yhx3MqKyvV0dGh+fPnJx875phjNHny5ORgsXXrVh133HEpd1tcsGCBLrroIr3++us64YQTemz3xRdf1JYtW/SDH/xgiF8lcHBisRg7QQxIeXm5pk2b1ufygby3mL7BEn2DNTrnPWkbLMLhcI/LgI0cOVLjx4/v806J4XBYmZmZKigoSHl84sSJyeeEw+Eet3Df9/8f3O7hhx+umpoadXZ26oYbbtDXv/71PvO2tbWpra0t+f+xWKz/Fwh8CIcddpjbETBM5ObmHvCtTgdC32CJvsEanfOegz55++qrr1YgEOj346233kpH1oP23//939q+fbtWrVqlO+64Q7/97W/7XHfFihXKz89PfpSVlUnqPpk8FAopkUgkb8QSDAbV3t6uSCSixsZG1dfXq7a2Vi0tLQqHw+rs7ExZt6OjQ+FwWM3NzaqtrVVdXZ2amppUXV2tjo6OlHW7uroUCoXU0tKivXv3qqGhQfF4XDU1NWpra0tZ13EcBYNBtbW1qaamRrFYTLFYTNFoVC0tLQPO3dzc3Gvuzs7OHrkbGxt7zZ1IJA6Ye1/eD+aOx+NqaGjQ3r17+8zd0dGh6upqNTY2qq6u7qBy19fXq7GxUZFIRO3t7X3mjkajya9hb7n3Pae/3F1dXb3mbmpqUl1dnd59991k7g9+DfflbmlpGXDu1tbWXnOHQqFec0cikR65q6qqDpj7QJ2tqqpKyR2Pxw8qdzQaPeDPWjweT/lZG8rc+3c2Eon0+rMWCoV6/Vnz8j6iurqafcQw20fsn3u47SPef/999hHDbB8x3H+PCAaD7COM9hEDddDnWNTU1Gjv3r39rnPUUUfp17/+tS6//HLV1dUlH+/s7FRWVpbWrVvX61uhnn76aZ166qmqq6tLOWpxxBFH6NJLL9Vll12m5cuX67HHHtNLL72UXL5z504dddRReuGFF3p9K5Qk/eAHP9B//Md/aMeOHb0u7+2IRVlZGedYAAAAAANw0G+FKioqUlFR0QHXq6ioUH19vSorK1VeXi6pe3BIJBKaM2dOr88pLy/XqFGj9NRTT2nx4sWSpB07dmj37t2qqKhIbveWW25RJBJJvtVq06ZNysvL04wZM/rMk0gkUgaHDxo9erRGjx59wNcFDEYwGFRpaanbMeAT9A2W6Bus0TnvSdtVoSTpM5/5jKqrq7Vq1ark5WZnz56dvNxsMBjUqaeeqgcffFAnnniiJOmiiy7SE088oQceeEB5eXn61re+JUnasmWLpO7Lzc6aNUuTJk3SrbfeqnA4rK9+9av6+te/nrzc7L333qvJkyfrmGOOkST95S9/0WWXXaZvf/vbAz6Bm6tCIR06Ozs1cmRar/IMJNE3WKJvsEbnvCet343f/OY3uuSSS3TqqacqIyNDixcv1l133ZVc3tHRoR07dqi5uTn52O23355ct62tTQsWLNB9992XXD5ixAg9/vjjuuiii1RRUaGxY8fq/PPP10033ZRcJ5FI6JprrtHOnTs1cuRIHX300Vq5cqW++c1vpvPlAgcUjUZVXFzsdgz4BH2DJfoGa3TOe9J6xGI444gF0qGlpUVjxoxxOwZ8gr7BEn2DNTrnPQd9VSgAH15LS4vbEeAj9A2W6Bus0TnvYbAADGVk8CMHO/QNlugbrNE57+E7AhjiJDNYom+wRN9gjc55D4MFYGj/CxUA6UbfYIm+wRqd8x4GC8DQ/jd+BNKNvsESfYM1Ouc9DBaAoZqaGrcjwEfoGyzRN1ijc97D5Wb7wOVmAQAAgIHjiAVgKBgMuh0BPkLfYIm+wRqd8x6OWPSBIxZIh0QiweXxYIa+wRJ9gzU65z18NwBD4XDY7QjwEfoGS/QN1uic93AB4D7sO5ATi8VcToJDyciRI+kUzNA3WKJvsEbnbOXm5ioQCPS7DoNFH+LxuCSprKzM5SQAAACAuwZyegDnWPQhkUgoFAoNaDoDBiIWi6msrEzvv/8+5+0g7egbLNE3WKNz9jhiMQgZGRk6/PDD3Y6BQ1BeXh47QZihb7BE32CNznkLJ28DAAAAGDQGCwAAAACDxmABGBk9erSuv/56jR492u0o8AH6Bkv0DdbonDdx8jYAAACAQeOIBQAAAIBBY7AAAAAAMGgMFgAAAAAGjcECAAAAwKAxWABDpLa2Vueee67y8vJUUFCgJUuWqLGxsd/1v/Wtb2natGkaM2aMJk+erG9/+9tqaGhIrvPAAw8oEAj0+hGJRCxeFjwsHZ3b54EHHtDMmTOVlZWlCRMm6OKLL07nS8EwkK6+9bZ/e+ihh9L9cuBx6dy/SdLevXt1+OGHKxAIqL6+Pk2vwn+48zYwRM4991xVVVVp06ZN6ujo0IUXXqilS5dq7dq1va4fCoUUCoX04x//WDNmzNB7772nf//3f1coFNLvfvc7SdLZZ5+t008/PeV5F1xwgVpbWzVhwoS0vyZ4Wzo6J0k/+clPdNttt+lHP/qR5syZo6amJu3atcvoVcGr0tU3SfrVr36Vsq8rKChI50vBMJDOvknSkiVLNHPmTAWDwXS/FH9xAAzaG2+84Uhy/va3vyUfe/LJJ51AIOAEg8EBb+eRRx5xMjMznY6Ojl6XRyIRZ9SoUc6DDz446MwY3tLVudraWmfMmDHOn//85yHPjOErnfs4Sc5//ud/DmVcDHPp/jv1vvvuc+bOnes89dRTjiSnrq5uqKL7Hm+FAobA1q1bVVBQoNmzZycfmz9/vjIyMrRt27YBb6ehoUF5eXkaObL3g4kPPvigsrOz9cUvfnHQmTG8patzmzZtUiKRUDAY1PTp03X44YfrrLPO0vvvvz/krwHDR7r3cRdffLEKCwt14okn6v7775fDLbZ8LZ19e+ONN3TTTTfpwQcfVEYGvwYPNb6iwBAIh8M93po0cuRIjR8/XuFweEDbiEajuvnmm7V06dI+1/nlL3+pL3/5yxozZsyg8mL4S1fn3n33XSUSCf3whz/UHXfcod/97neqra3Vaaedpvb29iF9DRg+0rmPu+mmm/TII49o06ZNWrx4sf7f//t/uvvuu4csO4afdPWtra1N55xzjn70ox9p8uTJQ5oZ3RgsgH5cffXVfZ48ve/jrbfeGvTnicViOuOMMzRjxgzdcMMNva6zdetWvfnmm1qyZMmgPx+8y+3OJRIJdXR06K677tKCBQt00kkn6be//a3efvttPfPMM4P+vPAWt/smSdddd51OOeUUnXDCCbrqqqt05ZVX6kc/+tGgPye8x+2+XXPNNZo+fbq+8pWvDPpzoHecvA304/LLL9cFF1zQ7zpHHXWUiouLe1ylqbOzU7W1tSouLu73+fF4XKeffrpyc3P1n//5nxo1alSv6/3iF7/QrFmzVF5eflCvAcOL250rKSmRJM2YMSP5WFFRkQoLC7V79+6DfDXwOrf71ps5c+bo5ptvVltbm0aPHj2g14Hhwe2+Pf3003r11VeTJ3Pve8tdYWGhvv/97+vGG2/8EK8K+2OwAPpRVFSkoqKiA65XUVGh+vp6VVZWJn/xf/rpp5VIJDRnzpw+nxeLxbRgwQKNHj1ajz32mLKysnpdr7GxUY888ohWrFjx4V4Ihg23O3fKKadIknbs2KHDDz9cUvdlHKPRqI444ogP+7LgUW73rTcvvfSSxo0bx1BxCHK7b48++qhaWlqS//+3v/1NX/va1/Tf//3fOvrooz/kq0IKt88eBw4Vp59+unPCCSc427Ztc/761786U6dOdc4555zk8j179jjTpk1ztm3b5jiO4zQ0NDhz5sxxjjvuOOedd95xqqqqkh+dnZ0p2/7FL37hZGVlceUKpEhX5z7/+c87H/3oR53nnnvOefXVV53Pfe5zzowZM5z29nbz1wjvSEffHnvsMefnP/+58+qrrzpvv/22c9999znZ2dnO8uXLXXmN8I50/p26zzPPPMNVoYYYgwUwRPbu3eucc845Tk5OjpOXl+dceOGFTjweTy7fuXOnI8l55plnHMf55w6tt4+dO3embLuiosL58pe/bPhqMBykq3MNDQ3O1772NaegoMAZP36884UvfMHZvXu38auD16Sjb08++aQza9YsJycnxxk7dqxz/PHHO6tWrXK6urpceIXwknT+nboPg8XQCzgO13QDAAAAMDhcFQoAAADAoDFYAAAAABg0BgsAAAAAg8ZgAQAAAGDQGCwAAAAADBqDBQAAAIBBY7AAAAAAMGgMFgAAAAAGjcECAAAAwKAxWAAAAAAYNAYLAAAAAIPGYAEAAABg0P4/nS+a7CPk4QQAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ax + B : \n", + "A = 3.2053 ± 0.0013\n", + "B = 1.7068 ± 0.0005\n", + "covAB = 0.000001\n", + "chi² = 51.03\n", + "P(chi², ∞) = 0.00\n" + ] + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "molla1 = molla1.reg_lin(stampa_param=True, plot_regressione=True, calc_residui=True,\n", + " x_label=\"\", y_label=\"\", r_label=\"\",\n", + " titolo_reg=\"\", titolo_residui=\"\",\n", + " cd_A=4, cd_B=4, scala_barre=1)\n", + "\n", + "molla2 = molla2.reg_lin(stampa_param=True, plot_regressione=True, calc_residui=True,\n", + " x_label=\"\", y_label=\"\", r_label=\"\",\n", + " titolo_reg=\"\", titolo_residui=\"\",\n", + " cd_A=4, cd_B=4, scala_barre=1)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git 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"cell_type": "markdown", + "id": "b5198c57", + "metadata": {}, + "source": [ + "# Visualizzazione" + ] + }, + { + "cell_type": "markdown", + "id": "b3b88e57", + "metadata": {}, + "source": [ + "# Selezione picchi e creazione df" + ] + } + ], + "metadata": { + "language_info": { + "name": "python" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/k1.csv b/k1.csv new file mode 100644 index 0000000..b8a9e77 --- /dev/null +++ b/k1.csv @@ -0,0 +1,7 @@ +m,h,uh +67.97,277.473,0.014 +87.94,269.256,0.012 +107.76,260.878,0.012 +127.69,252.804,0.012 +147.36,244.570,0.014 +167.25,236.235,0.015 \ No newline at end of file diff --git a/k2.csv b/k2.csv new file mode 100644 index 0000000..b2d6fa0 --- /dev/null +++ b/k2.csv @@ -0,0 +1,6 @@ +m,h,uh +28.12,446.392,0.012 +48.06,385.616,0.017 +67.97,324.984,0.015 +87.94,263.3196,0.0010 +107.76,202.291,0.026 \ No newline at end of file diff --git a/osc_attr.ipynb b/osc_attr.ipynb new file mode 100644 index 0000000..3a3dbd3 --- /dev/null +++ b/osc_attr.ipynb @@ -0,0 +1,283 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "id": "9c25e271", + "metadata": {}, + "outputs": [], + "source": [ + "import importlib\n", + "from statlib import *\n", + "\n", + "g = 9.806\n", + "ug = 0.004" + ] + }, + { + "cell_type": "markdown", + "id": "233e717f", + "metadata": {}, + "source": [ + "# Calcolo w0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e1efad4a", + "metadata": {}, + "outputs": [], + "source": [ + "# k e m varie configurazioni\n", + "\n", + "# k [N/m]\n", + "k1 = 23.631\n", + "uk1 = 0.017\n", + "\n", + "k2 = 3.2053\n", + "uk2 = 0.0013\n", + "\n", + "# m [g]\n", + "m_CD = [63.13, 83.04, 103.02, 122.83, 142.77, 162.44, 182.33]\n", + "m_rete = [58.96, 78.86, 98.85, 118.66, 138.61, 158.26, 178.16]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "81d935ac", + "metadata": {}, + "outputs": [], + "source": [ + "# Creazione Data\n", + "\n", + "df = pd.DataFrame()\n", + "df[\"m_CD\"] = m_CD\n", + "df[\"um_CD\"] = 0.01/np.sqrt(12)\n", + "df[\"m_rete\"] = m_rete\n", + "df[\"um_rete\"] = 0.01/np.sqrt(12)\n", + "df[\"k1\"] = k1\n", + "df[\"uk1\"] = uk1\n", + "df[\"k2\"] = k2\n", + "df[\"uk2\"] = uk2\n", + "\n", + "param_sistema = Data(df)\n", + "param_sistema.analisi_stat = df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "7b2c2af7", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo w0 varie cnfigurazioni\n", + "\n", + "m_CD, m_rete, k1, k2 = sp.symbols('m_CD, m_rete, k1, k2', positive=True)\n", + "\n", + "w0_1_CD = sp.sqrt(k1/(m_CD/1000))\n", + "w0_1_rete = sp.sqrt(k1/(m_rete/1000))\n", + "w0_2_CD = sp.sqrt(k2/(m_CD/1000))\n", + "w0_2_rete = sp.sqrt(k2/(m_rete/1000))\n", + "\n", + "param_sistema = param_sistema.calc_var(w0_1_CD, \"w0_1_CD\")\n", + "param_sistema = param_sistema.calc_var(w0_1_rete, \"w0_1_rete\")\n", + "param_sistema = param_sistema.calc_var(w0_2_CD, \"w0_2_CD\")\n", + "param_sistema = param_sistema.calc_var(w0_2_rete, \"w0_2_rete\")" + ] + }, + { + "cell_type": "markdown", + "id": "ecf23a81", + "metadata": {}, + "source": [ + "# Creazione classi dati\n", + "\n", + "Selezione picchi delle oscillazioni" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c040f35e", + "metadata": {}, + "outputs": [], + "source": [ + "config = [molla1_leggera_rete_inizio, molla1_leggera_rete_fine, molla1_leggera_rete_mid,\n", + " molla1_pesante_rete_inizio, molla1_pesante_rete_fine, molla1_pesante_rete_mid,\n", + " molla1_leggera_CD_inizio, molla1_leggera_CD_fine, molla1_leggera_CD_mid,\n", + " molla1_pesante_CD_inizio, molla1_pesante_CD_fine, molla1_pesante_CD_mid,\n", + " molla2_leggera_rete_inizio, molla2_leggera_rete_fine, molla2_leggera_rete_mid,\n", + " molla2_pesante_rete_inizio, molla2_pesante_rete_fine, molla2_pesante_rete_mid,\n", + " molla2_leggera_CD_inizio, molla2_leggera_CD_fine, molla2_leggera_CD_mid,\n", + " molla2_pesante_CD_inizio, molla2_pesante_CD_fine, molla2_pesante_CD_mid]" + ] + }, + { + "cell_type": "markdown", + "id": "3b522bfe", + "metadata": {}, + "source": [ + "# Rgressione lineare" + ] + }, + { + "cell_type": "markdown", + "id": "30f903b5", + "metadata": {}, + "source": [ + "## Attrito proporzionale a v" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "64e483e1", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo simbolico x e y\n", + "\n", + "# x = n-1\n", + "n = sp.Symbol('n', positive=True)\n", + "x = n-1\n", + "\n", + "# y = ln(h1/hn)\n", + "h1, hn = sp.symbols('h1 hn', positive=True)\n", + "y = sp.ln(h1/hn)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b0df03fc", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo numerico x e y\n", + "\n", + "for data in config:\n", + " data = data.calc_var(x, \"x\")\n", + " data = data.calc_var(y, \"y\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "497ed583", + "metadata": {}, + "outputs": [], + "source": [ + "# Regressione\n", + "\n", + "for data in config:\n", + " data = data.reg_lin(stampa_param=True, plot_regressione=True, calc_residui=True,\n", + " x_label=\"\", y_label=\"\", r_label=\"\",\n", + " titolo_reg=\"\", titolo_residui=\"\",\n", + " cd_A=4, cd_B=4, scala_barre=1)" + ] + }, + { + "cell_type": "markdown", + "id": "453d5b53", + "metadata": {}, + "source": [ + "## Attrito proporzionale a v^2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cdb8d336", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo simbolico x e y\n", + "\n", + "# x = n-1\n", + "n = sp.Symbol('n', positive=True)\n", + "x = n-1\n", + "\n", + "# y = 1/hn - 1/h1\n", + "h1, hn = sp.symbols('h1 hn', positive=True)\n", + "y = 1/hn - 1/h1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "84ad3d64", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo numerico x e y\n", + "\n", + "for data in config:\n", + " data = data.calc_var(x, \"x\")\n", + " data = data.calc_var(y, \"y\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8fee50b3", + "metadata": {}, + "outputs": [], + "source": [ + "# Regressione\n", + "\n", + "for data in config:\n", + " data = data.reg_lin(stampa_param=True, plot_regressione=True, calc_residui=True,\n", + " x_label=\"\", y_label=\"\", r_label=\"\",\n", + " titolo_reg=\"\", titolo_residui=\"\",\n", + " cd_A=4, cd_B=4, scala_barre=1)" + ] + }, + { + "cell_type": "markdown", + "id": "dc3ce36f", + "metadata": {}, + "source": [ + "# Stima errore campionamento" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "513736c3", + "metadata": {}, + "outputs": [], + "source": [ + "A_max =\n", + "w0_max =\n", + "fc = 50 # [Hz]\n", + "\n", + "err_picco_max = A_max * (1 - np.cos(w0_max / (2*fc)))\n", + "print(f\"errore massimo individuazione picco > {err_picco_max}\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/statistica.ipynb b/statistica.ipynb new file mode 100644 index 0000000..cdfe9f2 --- /dev/null +++ b/statistica.ipynb @@ -0,0 +1,706 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e1f82c70", + "metadata": {}, + "source": [ + "# Import librerie" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "b2b806a7", + "metadata": {}, + "outputs": [], + "source": [ + "# Heavy lifting\n", + "import numpy as np\n", + "import pandas as pd\n", + "from scipy import stats\n", + "\n", + "# Mostrare i dati\n", + "import ipysheet\n", + "from IPython.display import display\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "# Calcolo simbolico\n", + "import sympy as sp" + ] + }, + { + "cell_type": "markdown", + "id": "96b0e93d", + "metadata": {}, + "source": [ + "# Compatibilità" + ] + }, + { + "cell_type": "markdown", + "id": "e50c6d18", + "metadata": {}, + "source": [ + "**compat( x1, x2, u1, u2 )**\n", + "\n", + "*input:*\n", + " - x1, x2: quantità\n", + " - u1, u2: incertezze associate\n", + "\n", + "*output:*\n", + " - k: fattore di compatibilità (scarto normalizzato)\n", + " - diff: differenza x1 - x2" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d07a554d", + "metadata": {}, + "outputs": [], + "source": [ + "def compat(x1, x2, u1, u2):\n", + " \n", + " diff = x1 - x2\n", + " k = np.abs(diff) / np.sqrt(u1**2 + u2**2)\n", + " return k, diff" + ] + }, + { + "cell_type": "markdown", + "id": "bc3e1539", + "metadata": {}, + "source": [ + "# Classe Data\n", + "\n", + "*attributi:*\n", + "\n", + "- campione: dati grezzi\n", + "- analisi_stat:\n", + " - valori medi\n", + " - incertezze strumentali, statistiche e complessive\n", + " - lunghezza campione\n", + " - outlier\n", + " - residui con incertezza\n", + "- param_reg:\n", + " - A, B\n", + " - uA, uB, covAB\n", + " - chi², P" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "2649eb4e", + "metadata": {}, + "outputs": [], + "source": [ + "class Data:\n", + "\n", + " def __init__(self,\n", + " campione,\n", + " analisi_stat=None, param_reg=None):\n", + " \n", + " self.campione = campione\n", + " self.analisi_stat = analisi_stat\n", + " self.param_reg = param_reg" + ] + }, + { + "cell_type": "markdown", + "id": "a21e942b", + "metadata": {}, + "source": [ + "## Analisi con criterio di Chauvenet" + ] + }, + { + "cell_type": "markdown", + "id": "050285f6", + "metadata": {}, + "source": [ + "**data.stat_chauv( prefissi, err_strumentale )**\n", + "\n", + "*input:*\n", + " - prefix: nome/lista di nomi delle variabili da analizzare\n", + " - err_strumentale: incertezza/lista di incertezze da risoluzione strumentale\n", + "\n", + "*output data.analisi_stat:* \n", + " - \\: media del campione\n", + " - u\\_strum: incertezza da risoluzione strumentale\n", + " - u\\_stat: incertezza statistica (s/sqrt(N))\n", + " - u\\: incertezza complessiva\n", + " - n\\: lunghezza del campione\n", + " - out\\: lista outlier" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "91931bb9", + "metadata": {}, + "outputs": [], + "source": [ + "# Probabilità\n", + "def p_t_student(valori, err_strumentale):\n", + "\n", + " n = len(valori)\n", + " GdL = n - 1\n", + "\n", + " media = valori.mean()\n", + " s = valori.std(ddof=1)\n", + "\n", + " s = np.sqrt(s**2 + err_strumentale**2)\n", + " return 2 * (1 - stats.t.cdf(np.abs(valori - media) / s, df=GdL))\n", + "\n", + "\n", + "# Indice del peggiore outlier o None\n", + "def trova_outlier(valori, err_strumentale):\n", + "\n", + " n = len(valori)\n", + " soglia = 1 / (2 * n)\n", + " p = p_t_student(valori, err_strumentale)\n", + " idx_min = np.argmin(p)\n", + "\n", + " if p[idx_min] < soglia:\n", + " return idx_min\n", + " \n", + " return None\n", + "\n", + "\n", + "# Rimozione outlier\n", + "def rimuovi_outlier(valori, err_strumentale):\n", + " \n", + " rimossi = []\n", + " campione = valori.copy()\n", + "\n", + " while len(campione) > 2:\n", + " idx = trova_outlier(campione, err_strumentale)\n", + "\n", + " if idx is None: # nessun outlier: stop\n", + " break\n", + "\n", + " rimossi.append(campione[idx])\n", + " campione = np.delete(campione, idx)\n", + "\n", + " return campione, rimossi" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "70c37b24", + "metadata": {}, + "outputs": [], + "source": [ + "# Analisi statistica con criterio di Chauvenet\n", + "def stat_chauv(self, prefissi, err_strumentale):\n", + "\n", + " self.analisi_stat = pd.DataFrame()\n", + " campione = self.campione\n", + " \n", + " \n", + " if isinstance(prefissi, str):\n", + " prefissi = [prefissi]\n", + " if isinstance(err_strumentale, (int, float)):\n", + " err_strumentale = [err_strumentale] * len(prefissi)\n", + "\n", + " for prefix, err_strum in zip(prefissi, err_strumentale):\n", + " cols = [col for col in campione.columns if col.startswith(prefix)]\n", + "\n", + " for i, row in campione.iterrows():\n", + " valori = row[cols].dropna().values.astype(float)\n", + " campione, rimossi = rimuovi_outlier(valori, err_strum)\n", + "\n", + " n = len(campione)\n", + " s = campione.std(ddof=1)\n", + " s = s / np.sqrt(n)\n", + " u = np.sqrt(s**2 + err_strum**2)\n", + "\n", + " self.analisi_stat.at[i, prefix] = campione.mean()\n", + " self.analisi_stat.at[i, f\"u{prefix}_strum\"] = err_strum\n", + " self.analisi_stat.at[i, f\"u{prefix}_stat\"] = s\n", + " self.analisi_stat.at[i, f\"u{prefix}\"] = u\n", + " self.analisi_stat.at[i, f\"n{prefix}\"] = n\n", + " self.analisi_stat.at[i, f\"out{prefix}\"] = rimossi\n", + "\n", + " return self\n", + "\n", + "\n", + "# Aggiunta a classe Data\n", + "Data.stat_chauv = stat_chauv" + ] + }, + { + "cell_type": "markdown", + "id": "79742eb5", + "metadata": {}, + "source": [ + "## Calcolo variabile\n", + "Calcola una nuova variabile a partire dai valori medi e propagando le incertezze in data.analisi_stat\n", + "\n", + "**calc_var( funz, nome_risultato )**\n", + "\n", + "*input:*\n", + " - funz: funzione simbolica della variabile da calcolare\n", + " - nome_risultato: stringa con nome della variabile da calcolare\n", + "\n", + "*output data.analisi_stat:* \n", + " - \\: valore della variabile in ogni punto sperimentale\n", + " - u\\: incertezza\n", + " - %u\\_\\: contributo percentuale di ogni incertezza propagata" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dc54a677", + "metadata": {}, + "outputs": [], + "source": [ + "def calc_var(self, funz, nome_risultato):\n", + "\n", + " # Estrazione e ordinamento variabili simboliche\n", + " vars_list = sorted(list(funz.free_symbols), key=lambda s: s.name)\n", + " \n", + " # Creazione incertezze e contributi simbolici\n", + " u = {var: sp.Symbol(f'u{var.name}', positive=True) for var in vars_list}\n", + " contr = [sp.diff(funz, var)*u[var] for var in vars_list]\n", + " \n", + " # Calcolo simbolico incertezza propagata\n", + " u_prop = 0\n", + " for contributo in contr:\n", + " u_prop += contributo**2 \n", + " u_prop = sp.sqrt(u_prop)\n", + "\n", + " # Creazione lista incertezze simboliche\n", + " u_list = [u[var] for var in vars_list]\n", + " \n", + " # Funzioni numeriche\n", + " funz_fn = sp.lambdify(vars_list, funz, 'numpy')\n", + " u_prop_fn = sp.lambdify((vars_list, u_list), u_prop, 'numpy')\n", + " contr_fn = sp.lambdify((vars_list, u_list), contr, 'numpy')\n", + " \n", + " # Estrazione dati da analisi_stat\n", + " vars_num = [self.analisi_stat[var.name].values.astype(float) for var in vars_list]\n", + " u_num = [self.analisi_stat[f'u{var.name}'].values.astype(float) for var in vars_list]\n", + "\n", + " # Calcolo numerico risultati\n", + " risultato_val = funz_fn(*vars_num)\n", + " risultato_u = u_prop_fn(vars_num, u_num)\n", + " risultato_contr = (np.array(contr_fn(vars_num, u_num)) / risultato_u)**2 * 100\n", + "\n", + " # Aggiunta risultati ad analisi_stat\n", + " self.analisi_stat[nome_risultato] = risultato_val\n", + " self.analisi_stat[f\"u{nome_risultato}\"] = risultato_u\n", + " for i, var in enumerate(vars_list):\n", + " self.analisi_stat[f\"%u{nome_risultato}_{var.name}\"] = risultato_contr[i]\n", + " \n", + " return self\n", + "\n", + "# Aggiunta a classe Data\n", + "Data.calc_var = calc_var" + ] + }, + { + "cell_type": "markdown", + "id": "86fcfbe5", + "metadata": {}, + "source": [ + "## Regressione lineare\n", + "y = Ax + By" + ] + }, + { + "cell_type": "markdown", + "id": "8e6a2c2e", + "metadata": {}, + "source": [ + "**data.reg_lin( stampa_param=True, plot_regressione=True, calc_residui=True,** \n", + "       **x_label=\"\", y_label=\"\", r_label=\"\",** \n", + "       **titolo_reg=\"\", titolo_residui=\"\",** \n", + "       **cd_A=4, cd_B=4, scala_barre=1 )** \n", + "\n", + "*input data.analisi_stat:*\n", + " - x, y: campioni x e y\n", + " - ux, uy: relative incertezze\n", + "\n", + "*input:*\n", + " - stampa_param: opzione stampa parametri regressione\n", + " - plot_regressione: opzione plot regressione lineare\n", + " - residui: opzione calcolo e plot residui\n", + " - x_label, y_label, r_label: etichette assi plot regressione e residui\n", + " - titolo_reg, titolo_residui: titolo plot regressione e residui\n", + " - cd_A, cd_B: cifre decimali visualizzazione parametri\n", + " - scala barre: scala ingrandimento barre di errore nella regressione\n", + "\n", + "*output param_reg:*\n", + " - A, B: parametri regressione\n", + " - uA, uB, covAB: relative incertezze e covarianze\n", + " - chi², P: chi quadro e relativa probabilità\n", + "\n", + "*output analisi_stat:*\n", + " - r, ur: residui e relativa incertezza" + ] + }, + { + "cell_type": "markdown", + "id": "6ccd1e25", + "metadata": {}, + "source": [ + "### Residui" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "7c815197", + "metadata": {}, + "outputs": [], + "source": [ + "# Plot residui\n", + " \n", + "def plot_residui(x, r,\n", + " ux, ur,\n", + " x_label, r_label, titolo):\n", + " \n", + " fig, ax = plt.subplots(figsize=(8, 5))\n", + "\n", + " # Residui con barre d'errore\n", + " ax.errorbar(\n", + " x, r,\n", + " xerr=ux, yerr=ur,\n", + " fmt='o', color=sns.color_palette()[0],\n", + " ecolor='gray', elinewidth=1, capsize=3,\n", + " markersize=5, label=\"Residui\"\n", + " )\n", + "\n", + " # Linea dello zero\n", + " ax.axhline(0, color='red', linestyle='--', linewidth=1)\n", + "\n", + " # Estetica\n", + " sns.despine(ax=ax)\n", + " ax.set_xlabel(x_label)\n", + " ax.set_ylabel(r_label)\n", + " ax.set_title(titolo)\n", + " ax.legend()\n", + " ax.grid(True, linestyle=':', linewidth=0.5, alpha=0.7)\n", + "\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "53ba0123", + "metadata": {}, + "outputs": [], + "source": [ + "# Calcolo residui\n", + "\n", + "def residui(analisi_stat,\n", + " A_num, B_num,\n", + " uA_num, uB_num, covAB_num):\n", + "\n", + " # Variabili simboliche\n", + " A, B, x, y = sp.symbols('A B x y', real=True)\n", + " uA, uB, ux, uy = sp.symbols('uA uB ux uy', positive=True)\n", + " covAB = sp.symbols('covAB', real=True)\n", + "\n", + " # Residuo: r = y - (Ax + B)\n", + " r = y - (A*x + B)\n", + "\n", + " # Propagazione errore (con covarianza A,B)\n", + " dr_dA = sp.diff(r, A)\n", + " dr_dB = sp.diff(r, B)\n", + " dr_dx = sp.diff(r, x)\n", + " dr_dy = sp.diff(r, y)\n", + "\n", + " u_r = sp.sqrt(\n", + " (dr_dA * uA)**2 +\n", + " (dr_dB * uB)**2 +\n", + " (dr_dx * ux)**2 +\n", + " (dr_dy * uy)**2 +\n", + " 2 * dr_dA * dr_dB * covAB\n", + " )\n", + "\n", + " # Funzioni numeriche\n", + " r_fn = sp.lambdify((x , y , A , B ), r, 'numpy')\n", + " u_r_fn = sp.lambdify(\n", + " (x , y , ux , uy , A , B , uA , uB , covAB ),\n", + " u_r , 'numpy'\n", + " )\n", + "\n", + " # Calcolo numerico\n", + " analisi_stat[\"r\"] = r_fn(\n", + " analisi_stat[\"x\"],\n", + " analisi_stat[\"y\"],\n", + " A_num,\n", + " B_num\n", + " )\n", + "\n", + " analisi_stat[\"ur\"] = u_r_fn(\n", + " analisi_stat[\"x\"], analisi_stat[\"y\"],\n", + " analisi_stat[\"ux\"], analisi_stat[\"uy\"],\n", + " A_num, B_num,\n", + " uA_num, uB_num, covAB_num\n", + " )\n", + "\n", + " return analisi_stat" + ] + }, + { + "cell_type": "markdown", + "id": "20b61f26", + "metadata": {}, + "source": [ + "### Regressione" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "299faa92", + "metadata": {}, + "outputs": [], + "source": [ + "# Plot regressione\n", + "\n", + "def plot_reg(x, y, ux, uy,\n", + " A, B, uA, uB, P,\n", + " x_label, y_label, titolo,\n", + " cd_A=4, cd_B=4, scala_barre=1):\n", + "\n", + " fig, ax = plt.subplots(figsize=(8, 5))\n", + "\n", + " x_fit = np.linspace(x.min(), x.max(), 300)\n", + " y_fit = A * x_fit + B\n", + "\n", + " ax.errorbar(\n", + " x, y,\n", + " xerr = scala_barre * ux,\n", + " yerr = scala_barre * uy,\n", + " fmt='o', color=sns.color_palette()[0],\n", + " ecolor='gray', elinewidth=1, capsize=3,\n", + " markersize=5, label=f\"Dati (barre errore x{scala_barre})\"\n", + " )\n", + " ax.plot(\n", + " x_fit, y_fit,\n", + " color='red', linewidth=1.5,\n", + " label = f\"$A={A:.{cd_A}f}\\\\pm{uA:.{cd_A}f}$\\n\"\n", + " f\"$B={B:.{cd_B}f}\\\\pm{uB:.{cd_B}f}$\\n\"\n", + " f\"$P(chi², ∞)={P:.4f}$\\n\"\n", + " )\n", + "\n", + " sns.despine(ax=ax)\n", + " ax.set_xlabel(x_label)\n", + " ax.set_ylabel(y_label)\n", + " ax.set_title(titolo)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(True, linestyle=':', linewidth=0.5, alpha=0.7)\n", + "\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9d3f0378", + "metadata": {}, + "outputs": [], + "source": [ + "# Funzioni regressione\n", + "\n", + "def uy_equiv(x, y, ux, uy):\n", + " \n", + " # Stima iniziale di A con sola uy\n", + " sy2 = uy**2\n", + " Sw = np.sum(1 / sy2)\n", + " Sx = np.sum(x / sy2)\n", + " Sxx = np.sum(x**2 / sy2)\n", + " Sy = np.sum(y / sy2)\n", + " Sxy = np.sum(x * y / sy2)\n", + " delta = Sxx * Sw - Sx**2\n", + " A_est = (Sxy * Sw - Sx * Sy) / delta\n", + "\n", + " # Propagazione\n", + " u_eq = np.sqrt(uy**2 + A_est**2 * ux**2)\n", + " return u_eq\n", + "\n", + "\n", + "def reg_lin(self,\n", + " stampa_param=True, plot_regressione=True, calc_residui=True,\n", + " x_label=\"\", y_label=\"\", r_label=\"\",\n", + " titolo_reg=\"\", titolo_residui=\"\",\n", + " cd_A=4, cd_B=4, scala_barre=1):\n", + " \n", + " x = np.asarray(self.analisi_stat[\"x\"], dtype=float)\n", + " y = np.asarray(self.analisi_stat[\"y\"], dtype=float)\n", + " ux = np.asarray(self.analisi_stat[\"ux\"], dtype=float)\n", + " uy = np.asarray(self.analisi_stat[\"uy\"], dtype=float)\n", + "\n", + " # Propagazione errore x → y\n", + " uy_eq = uy_equiv(x, y, ux, uy)\n", + "\n", + " # Somme pesate\n", + " w = 1.0 / uy_eq**2\n", + " Sw = np.sum(w)\n", + " Sx = np.sum(w * x)\n", + " Sxx = np.sum(w * x**2)\n", + " Sy = np.sum(w * y)\n", + " Sxy = np.sum(w * x * y)\n", + " delta = Sxx * Sw - Sx**2\n", + "\n", + " # Parametri\n", + " A = (Sxy * Sw - Sx * Sy) / delta\n", + " B = (Sxx * Sy - Sxy * Sx) / delta\n", + " uA = np.sqrt(Sw / delta)\n", + " uB = np.sqrt(Sxx / delta)\n", + " covAB = -Sx / delta\n", + "\n", + " # Chi quadro\n", + " x2 = np.sum((y - A * x - B)**2 / uy_eq**2)\n", + " dof = len(x) - 2\n", + " P = stats.chi2.sf(x2, dof)\n", + "\n", + " # Raccolta parametri\n", + " self.param_reg = pd.DataFrame()\n", + " self.param_reg[\"A\"] = A\n", + " self.param_reg[\"B\"] = B\n", + " self.param_reg[\"uA\"] = uA\n", + " self.param_reg[\"uB\"] = uB\n", + " self.param_reg[\"covAB\"] = covAB\n", + " self.param_reg[\"x2\"] = x2\n", + " self.param_reg[\"P\"] = P\n", + "\n", + " # Stampa\n", + " if stampa_param == True:\n", + " print(\"Ax + B : \")\n", + " print(f\"A = {A:.{cd_A}f} ± {uA:.{cd_A}f}\")\n", + " print(f\"B = {B:.{cd_B}f} ± {uB:.{cd_B}f}\")\n", + " print(f\"covAB = {covAB:.6f}\")\n", + " print(f\"chi² = {x2:.2f}\")\n", + " print(f\"P(chi², ∞) = {P:.2f}\")\n", + " \n", + " # Plot\n", + " if plot_regressione == True:\n", + " plot_reg(x, y, ux, uy,\n", + " A, B, uA, uB, P,\n", + " x_label, y_label, titolo_reg,\n", + " cd_A, cd_B, scala_barre)\n", + " \n", + " # Residui\n", + " if calc_residui == True:\n", + " self.analisi_stat = residui(self.analisi_stat, A, B, uA, uB, covAB)\n", + " plot_residui(x, self.analisi_stat[\"r\"],\n", + " ux, self.analisi_stat[\"ur\"],\n", + " x_label, r_label, titolo_residui)\n", + "\n", + " return self\n", + "\n", + "\n", + "# Aggiunta a classe Data\n", + "Data.reg_lin = reg_lin" + ] + }, + { + "cell_type": "markdown", + "id": "b311d9e2", + "metadata": {}, + "source": [ + "# Plot gaussiane" + ] + }, + { + "cell_type": "markdown", + "id": "170849f1", + "metadata": {}, + "source": [ + "**plot_gauss( gaussiane )**\n", + "\n", + "*input gaussiane:* \n", + "[ (mi, sigma, colore, label),... ]\n", + " - mi: valore medio (misura)\n", + " - sigma: deviazione standard (incertezza)\n", + " - colore: indice colore nella palette\n", + " - label: etichetta per la didascalia" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "f515a2bb", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_gauss(gaussiane):\n", + " \n", + " # Creazione figura\n", + " plt.figure(figsize=(12, 7))\n", + "\n", + " # Creazione asse x\n", + " xMin = float('inf')\n", + " xMax = float('-inf')\n", + "\n", + " for mu, sigma, _, _ in gaussiane:\n", + " minimoLocale = mu - 4 * sigma\n", + " massimoLocale = mu + 4 * sigma\n", + " \n", + " if minimoLocale < xMin:\n", + " xMin = minimoLocale\n", + " \n", + " if massimoLocale > xMax:\n", + " xMax = massimoLocale\n", + " \n", + " x = np.linspace(xMin, xMax, 1000)\n", + "\n", + " # Ciclo gaussiane\n", + " for mu, sigma, colore, etichetta in gaussiane:\n", + " y = stats.norm.pdf(x, mu, sigma)\n", + " plt.plot(x, y, color=sns.color_palette()[colore], linewidth=1, label=etichetta)\n", + " \n", + " puntiLinee = [mu - sigma, mu, mu + sigma]\n", + " for px in puntiLinee:\n", + " py = stats.norm.pdf(px, mu, sigma) \n", + " plt.vlines(x=px,\n", + " ymin=0, ymax=py,\n", + " colors=sns.color_palette()[colore],\n", + " linestyles='dashed', linewidth=1)\n", + " \n", + " # Dettagli estetici finali\n", + " plt.ylim(bottom=0)\n", + " plt.title('Confronto dati')\n", + " plt.xlabel('k')\n", + " plt.legend()\n", + "\n", + " # Mostriamo il grafico\n", + " plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/statlib.py b/statlib.py new file mode 100644 index 0000000..c74f6ec --- /dev/null +++ b/statlib.py @@ -0,0 +1,413 @@ + +# Heavy lifting +import numpy as np +import pandas as pd +from scipy import stats + +# Mostrare i dati +import ipysheet +from IPython.display import display +import matplotlib.pyplot as plt +import seaborn as sns + +# Calcolo simbolico +import sympy as sp + +def compat(x1, x2, u1,u2): + + diff = x1 - x2 + k = np.abs(diff) / np.sqrt(u1**2 + u2**2) + return k, diff + +class Data: + + def __init__(self, + campione, + analisi_stat=None, param_reg=None): + + self.campione = campione + self.analisi_stat = analisi_stat + self.param_reg = param_reg + +# Probabilità +def p_t_student(valori, err_strumentale): + + n = len(valori) + GdL = n - 1 + + media = valori.mean() + s = valori.std(ddof=1) + + s = np.sqrt(s**2 + err_strumentale**2) + return 2 * (1 - stats.t.cdf(np.abs(valori - media) / s, df=GdL)) + + +# Indice del peggiore outlier o None +def trova_outlier(valori, err_strumentale): + + n = len(valori) + soglia = 1 / (2 * n) + p = p_t_student(valori, err_strumentale) + idx_min = np.argmin(p) + + if p[idx_min] < soglia: + return idx_min + + return None + + +# Rimozione outlier +def rimuovi_outlier(valori, err_strumentale): + + rimossi = [] + campione = valori.copy() + + while len(campione) > 2: + idx = trova_outlier(campione, err_strumentale) + + if idx is None: # nessun outlier: stop + break + + rimossi.append(campione[idx]) + campione = np.delete(campione, idx) + + return campione, rimossi + +# Analisi statistica con criterio di Chauvenet +def stat_chauv(self, prefissi, err_strumentale): + + self.analisi_stat = pd.DataFrame() + campione = self.campione + + + if isinstance(prefissi, str): + prefissi = [prefissi] + if isinstance(err_strumentale, (int, float)): + err_strumentale = [err_strumentale] * len(prefissi) + + for prefix, err_strum in zip(prefissi, err_strumentale): + cols = [col for col in campione.columns if col.startswith(prefix)] + + for i, row in campione.iterrows(): + valori = row[cols].dropna().values.astype(float) + campione, rimossi = rimuovi_outlier(valori, err_strum) + + n = len(campione) + s = campione.std(ddof=1) + s = s / np.sqrt(n) + u = np.sqrt(s**2 + err_strum**2) + + self.analisi_stat.at[i, prefix] = campione.mean() + self.analisi_stat.at[i, f"u{prefix}_strum"] = err_strum + self.analisi_stat.at[i, f"u{prefix}_stat"] = s + self.analisi_stat.at[i, f"u{prefix}"] = u + self.analisi_stat.at[i, f"n{prefix}"] = n + self.analisi_stat.at[i, f"out{prefix}"] = rimossi + + return self + + +# Aggiunta a classe Data +Data.stat_chauv = stat_chauv + +def calc_var(self, funz, nome_risultato): + + # Estrazione e ordinamento variabili simboliche + vars_list = sorted(list(funz.free_symbols), key=lambda s: s.name) + + # Creazione incertezze e contributi simbolici + u = {var: sp.Symbol(f'u{var.name}', positive=True) for var in vars_list} + contr = [sp.diff(funz, var)*u[var] for var in vars_list] + + # Calcolo simbolico incertezza propagata + u_prop = 0 + for contributo in contr: + u_prop += contributo**2 + u_prop = sp.sqrt(u_prop) + + # Creazione lista incertezze simboliche + u_list = [u[var] for var in vars_list] + + # Funzioni numeriche + funz_fn = sp.lambdify(vars_list, funz, 'numpy') + u_prop_fn = sp.lambdify((vars_list, u_list), u_prop, 'numpy') + contr_fn = sp.lambdify((vars_list, u_list), contr, 'numpy') + + # Estrazione dati da analisi_stat + vars_num = [self.analisi_stat[var.name].values.astype(float) for var in vars_list] + u_num = [self.analisi_stat[f'u{var.name}'].values.astype(float) for var in vars_list] + + # Calcolo numerico risultati + risultato_val = funz_fn(*vars_num) + risultato_u = u_prop_fn(vars_num, u_num) + risultato_contr = (np.array(contr_fn(vars_num, u_num)) / risultato_u)**2 * 100 + + # Aggiunta risultati ad analisi_stat + self.analisi_stat[nome_risultato] = risultato_val + self.analisi_stat[f"u{nome_risultato}"] = risultato_u + for i, var in enumerate(vars_list): + self.analisi_stat[f"%u{nome_risultato}_{var.name}"] = risultato_contr[i] + + return self + +# Aggiunta a classe Data +Data.calc_var = calc_var + +# Plot residui + +def plot_residui(x, r, + ux, ur, + x_label, r_label, titolo): + + fig, ax = plt.subplots(figsize=(8, 5)) + + # Residui con barre d'errore + ax.errorbar( + x, r, + xerr=ux, yerr=ur, + fmt='o', color=sns.color_palette()[0], + ecolor='gray', elinewidth=1, capsize=3, + markersize=5, label="Residui" + ) + + # Linea dello zero + ax.axhline(0, color='red', linestyle='--', linewidth=1) + + # Estetica + sns.despine(ax=ax) + ax.set_xlabel(x_label) + ax.set_ylabel(r_label) + ax.set_title(titolo) + ax.legend() + ax.grid(True, linestyle=':', linewidth=0.5, alpha=0.7) + + plt.tight_layout() + plt.show() + +# Calcolo residui + +def residui(analisi_stat, + A_num, B_num, + uA_num, uB_num, covAB_num): + + # Variabili simboliche + A, B, x, y = sp.symbols('A B x y', real=True) + uA, uB, ux, uy = sp.symbols('uA uB ux uy', positive=True) + covAB = sp.symbols('covAB', real=True) + + # Residuo: r = y - (Ax + B) + r = y - (A*x + B) + + # Propagazione errore (con covarianza A,B) + dr_dA = sp.diff(r, A) + dr_dB = sp.diff(r, B) + dr_dx = sp.diff(r, x) + dr_dy = sp.diff(r, y) + + u_r = sp.sqrt( + (dr_dA * uA)**2 + + (dr_dB * uB)**2 + + (dr_dx * ux)**2 + + (dr_dy * uy)**2 + + 2 * dr_dA * dr_dB * covAB + ) + + # Funzioni numeriche + r_fn = sp.lambdify((x , y , A , B ), r, 'numpy') + u_r_fn = sp.lambdify( + (x , y , ux , uy , A , B , uA , uB , covAB ), + u_r , 'numpy' + ) + + # Calcolo numerico + analisi_stat["r"] = r_fn( + analisi_stat["x"], + analisi_stat["y"], + A_num, + B_num + ) + + analisi_stat["ur"] = u_r_fn( + analisi_stat["x"], analisi_stat["y"], + analisi_stat["ux"], analisi_stat["uy"], + A_num, B_num, + uA_num, uB_num, covAB_num + ) + + return analisi_stat + + +# Plot regressione + +def plot_reg(x, y, ux, uy, + A, B, uA, uB, P, + x_label, y_label, titolo, + cd_A=4, cd_B=4, scala_barre=1): + + fig, ax = plt.subplots(figsize=(8, 5)) + + x_fit = np.linspace(x.min(), x.max(), 300) + y_fit = A * x_fit + B + + ax.errorbar( + x, y, + xerr = scala_barre * ux, + yerr = scala_barre * uy, + fmt='o', color=sns.color_palette()[0], + ecolor='gray', elinewidth=1, capsize=3, + markersize=5, label=f"Dati (barre errore x{scala_barre})" + ) + ax.plot( + x_fit, y_fit, + color='red', linewidth=1.5, + label = f"$A={A:.{cd_A}f}\\pm{uA:.{cd_A}f}$\n" + f"$B={B:.{cd_B}f}\\pm{uB:.{cd_B}f}$\n" + f"$P(chi², ∞)={P:.4f}$\n" + ) + + sns.despine(ax=ax) + ax.set_xlabel(x_label) + ax.set_ylabel(y_label) + ax.set_title(titolo) + ax.legend(fontsize=9) + ax.grid(True, linestyle=':', linewidth=0.5, alpha=0.7) + + plt.tight_layout() + plt.show() + + +# Funzioni regressione + +def uy_equiv(x, y, ux, uy): + + # Stima iniziale di A con sola uy + sy2 = uy**2 + Sw = np.sum(1 / sy2) + Sx = np.sum(x / sy2) + Sxx = np.sum(x**2 / sy2) + Sy = np.sum(y / sy2) + Sxy = np.sum(x * y / sy2) + delta = Sxx * Sw - Sx**2 + A_est = (Sxy * Sw - Sx * Sy) / delta + + # Propagazione + u_eq = np.sqrt(uy**2 + A_est**2 * ux**2) + return u_eq + + +def reg_lin(self, + stampa_param=True, plot_regressione=True, calc_residui=True, + x_label="", y_label="", r_label="", + titolo_reg="", titolo_residui="", + cd_A=4, cd_B=4, scala_barre=1): + + x = np.asarray(self.analisi_stat["x"], dtype=float) + y = np.asarray(self.analisi_stat["y"], dtype=float) + ux = np.asarray(self.analisi_stat["ux"], dtype=float) + uy = np.asarray(self.analisi_stat["uy"], dtype=float) + + # Propagazione errore x → y + uy_eq = uy_equiv(x, y, ux, uy) + + # Somme pesate + w = 1.0 / uy_eq**2 + Sw = np.sum(w) + Sx = np.sum(w * x) + Sxx = np.sum(w * x**2) + Sy = np.sum(w * y) + Sxy = np.sum(w * x * y) + delta = Sxx * Sw - Sx**2 + + # Parametri + A = (Sxy * Sw - Sx * Sy) / delta + B = (Sxx * Sy - Sxy * Sx) / delta + uA = np.sqrt(Sw / delta) + uB = np.sqrt(Sxx / delta) + covAB = -Sx / delta + + # Chi quadro + x2 = np.sum((y - A * x - B)**2 / uy_eq**2) + dof = len(x) - 2 + P = stats.chi2.sf(x2, dof) + + # Raccolta parametri + self.param_reg = pd.DataFrame() + self.param_reg["A"] = A + self.param_reg["B"] = B + self.param_reg["uA"] = uA + self.param_reg["uB"] = uB + self.param_reg["covAB"] = covAB + self.param_reg["x2"] = x2 + self.param_reg["P"] = P + + # Stampa + if stampa_param == True: + print("Ax + B : ") + print(f"A = {A:.{cd_A}f} ± {uA:.{cd_A}f}") + print(f"B = {B:.{cd_B}f} ± {uB:.{cd_B}f}") + print(f"covAB = {covAB:.6f}") + print(f"chi² = {x2:.2f}") + print(f"P(chi², ∞) = {P:.2f}") + + # Plot + if plot_regressione == True: + plot_reg(x, y, ux, uy, + A, B, uA, uB, P, + x_label, y_label, titolo_reg, + cd_A, cd_B, scala_barre) + + # Residui + if calc_residui == True: + self.analisi_stat = residui(self.analisi_stat, A, B, uA, uB, covAB) + plot_residui(x, self.analisi_stat["r"], + ux, self.analisi_stat["ur"], + x_label, r_label, titolo_residui) + + return self + + +# Aggiunta a classe Data +Data.reg_lin = reg_lin + +def plot_gauss(gaussiane): + + # Creazione figura + plt.figure(figsize=(12, 7)) + + # Creazione asse x + xMin = float('inf') + xMax = float('-inf') + + for mu, sigma, _, _ in gaussiane: + minimoLocale = mu - 4 * sigma + massimoLocale = mu + 4 * sigma + + if minimoLocale < xMin: + xMin = minimoLocale + + if massimoLocale > xMax: + xMax = massimoLocale + + x = np.linspace(xMin, xMax, 1000) + + # Ciclo gaussiane + for mu, sigma, colore, etichetta in gaussiane: + y = stats.norm.pdf(x, mu, sigma) + plt.plot(x, y, color=sns.color_palette()[colore], linewidth=1, label=etichetta) + + puntiLinee = [mu - sigma, mu, mu + sigma] + for px in puntiLinee: + py = stats.norm.pdf(px, mu, sigma) + plt.vlines(x=px, + ymin=0, ymax=py, + colors=sns.color_palette()[colore], + linestyles='dashed', linewidth=1) + + # Dettagli estetici finali + plt.ylim(bottom=0) + plt.title('Confronto dati') + plt.xlabel('k') + plt.legend() + + # Mostriamo il grafico + plt.show() \ No newline at end of file