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import pandas as pd
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import numpy as np
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import matplotlib.pyplot as plt
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from mpl_toolkits.mplot3d import Axes3D
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from scipy.interpolate import make_interp_spline, BSpline
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# === Chargement des données ===
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chemin_fichier = "data.xlsx"
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df = pd.read_excel(chemin_fichier)
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# === Filtrer les sources ===
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df = df[df["type"].str.lower() == "source"]
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df = df.dropna(subset=["c25°C ", "Nom"])
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# === Couleurs par source ===
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couleurs_sources = {
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"Bullac": "#D77D00",
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"Corn": "#A1C935",
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"Bual": "#F5D200",
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"La diège": "#9271EA",
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"Ayrissac": "#EB64C3",
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"Pito": "#D52117",
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"Ressel": "#1DC6C3",
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"Marchepied": "#3FB94D",
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"Anglades": "#0084C9",
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"Liauzu": "#431D84",
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"Pescalerie": "#D8676B",
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"Sagne": "tab:purple",
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}
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# === Calcul des fréquences normalisées ===
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freq_absolue = df.groupby(["Nom", "c25°C "]).size().reset_index(name="frequence")
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freq_totale = freq_absolue.groupby("Nom")["frequence"].transform("sum")
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freq_absolue["frequence_normalisee"] = freq_absolue["frequence"] / freq_totale
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# === Sources à afficher dans l'ordre souhaité ===
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noms_ordonnes = [
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"Sagne", "Ressel", "Pito", "Pescalerie", "Marchepied",
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"Liauzu", "La diège", "Corn", "Bullac", "Bual", "Ayrissac", "Anglades"
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]
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sources_disponibles = set(freq_absolue["Nom"].unique())
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noms_valides = [nom for nom in noms_ordonnes if nom in sources_disponibles]
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# === Graphique 3D ===
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fig = plt.figure(figsize=(20, 12))
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ax = fig.add_subplot(111, projection='3d')
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y_spacing = 4.0
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for idx, nom in enumerate(reversed(noms_valides)):
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df_nom = freq_absolue[freq_absolue["Nom"] == nom].sort_values("c25°C ")
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if df_nom.empty:
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continue
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xs = df_nom["c25°C "].to_numpy()
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ys = df_nom["frequence_normalisee"].to_numpy()
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color = couleurs_sources.get(nom, "gray")
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y_val = (len(noms_valides) - 1 - idx) * y_spacing
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# === Courbe type histogramme ===
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x_curve = []
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y_curve = []
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for i in range(len(xs)):
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x_curve.extend([xs[i] - 0.5, xs[i], xs[i] + 0.5])
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y_curve.extend([0, ys[i], 0])
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# Relier à la suivante si proche
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if i < len(xs) - 1 and xs[i + 1] - xs[i] <= 1.5:
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x_curve.extend([xs[i] + 0.5, xs[i + 1] - 0.5])
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y_curve.extend([0, 0])
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# X_Y_Spline = make_interp_spline(x_curve, y_curve)
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# X_ = np.linspace(x_curve.min(), x_curve.max(), 500)
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# Y_ = X_Y_Spline(X_)
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# ax.plot(X_, [y_val] * len(Y_), Y_, color=color, linewidth=2, alpha=0.8)
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res = {key: value for key, value in zip(x_curve, y_curve)}
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x_curve = list(res.keys())
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y_curve = list(res.values())
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# Interpolation pour lisser la courbe
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spline = make_interp_spline(x_curve, y_curve, k=1)
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x_curve = np.linspace(min(x_curve), max(x_curve), 100)
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y_curve = spline(x_curve)
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ax.plot(x_curve, [y_val] * len(x_curve), y_curve, color=color, linewidth=2, alpha=0.8)
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# Nom de la source à gauche
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ax.text(
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x=freq_absolue["c25°C "].min() - 30,
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y=y_val,
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z=0,
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s=nom,
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color=color,
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fontsize=10,
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ha='right',
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va='center'
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)
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# === Configuration du graphique ===
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ax.set_yticks([])
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ax.set_xlabel("Conductivité (c25°C, µS/cm)", labelpad=15)
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ax.set_ylabel("")
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ax.set_zlabel("Fréquence normalisée", labelpad=10)
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ax.set_title("Courbes 3D type histogrammes par source", pad=20)
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ax.set_xlim(freq_absolue["c25°C "].min() - 35, freq_absolue["c25°C "].max() + 10)
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ax.set_ylim(-y_spacing, len(noms_valides) * y_spacing)
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ax.set_zlim(0, 0.4)
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ax.view_init(elev=25, azim=-140)
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# ax.autoscale()
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plt.tight_layout()
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plt.show()
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import pandas as pd
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import numpy as np
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import matplotlib.pyplot as plt
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from mpl_toolkits.mplot3d import Axes3D
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from scipy.interpolate import make_interp_spline
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from sklearn.cluster import DBSCAN
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# === Chargement des données ===
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chemin_fichier = "data.xlsx"
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df = pd.read_excel(chemin_fichier)
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# === Filtrer les sources ===
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df = df[df["type"].str.lower() == "source"]
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df = df.dropna(subset=["c25°C ", "Nom"])
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# === Couleurs par source ===
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couleurs_sources = {
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"Bullac": "#D77D00",
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"Corn": "#A1C935",
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"Bual": "#F5D200",
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"La diège": "#9271EA",
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"Ayrissac": "#EB64C3",
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"Pito": "#D52117",
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"Ressel": "#1DC6C3",
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"Marchepied": "#3FB94D",
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"Anglades": "#0084C9",
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"Liauzu": "#431D84",
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"Pescalerie": "#D8676B",
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"Sagne": "tab:purple",
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}
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# === Paramètres DBSCAN ===
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eps_val = 5
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min_samples_val = 1
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# === Clustering dynamique par source ===
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clusters_data = []
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for nom in df["Nom"].unique():
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sub_df = df[df["Nom"] == nom].copy()
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X = sub_df[["c25°C "]].to_numpy()
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db = DBSCAN(eps=eps_val, min_samples=min_samples_val).fit(X)
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sub_df["cluster"] = db.labels_
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grouped = (
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sub_df.groupby("cluster")
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.agg(
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conductivite_min=("c25°C ", "min"),
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conductivite_max=("c25°C ", "max"),
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conductivite_moyenne=("c25°C ", "mean"),
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effectif=("c25°C ", "count")
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)
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.reset_index(drop=True)
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)
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grouped["frequence_normalisee"] = grouped["effectif"] / grouped["effectif"].sum()
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grouped["Nom"] = nom
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clusters_data.append(grouped)
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# === Fusion des résultats ===
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df_clusters = pd.concat(clusters_data, ignore_index=True)
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# === Ordre des sources ===
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noms_ordonnes = [
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"Sagne", "Ressel", "Pito", "Pescalerie", "Marchepied",
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"Liauzu", "La diège", "Corn", "Bullac", "Bual", "Ayrissac", "Anglades"
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]
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sources_disponibles = set(df_clusters["Nom"].unique())
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noms_valides = [nom for nom in noms_ordonnes if nom in sources_disponibles]
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# === Tracé du graphique 3D ===
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fig = plt.figure(figsize=(20, 12))
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ax = fig.add_subplot(111, projection='3d')
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y_spacing = 4.0
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for idx, nom in enumerate(reversed(noms_valides)):
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df_nom = df_clusters[df_clusters["Nom"] == nom].sort_values("conductivite_moyenne")
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if df_nom.empty:
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continue
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xs_min = df_nom["conductivite_min"].to_numpy()
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xs_max = df_nom["conductivite_max"].to_numpy()
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xs_center = df_nom["conductivite_moyenne"].to_numpy()
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ys = df_nom["frequence_normalisee"].to_numpy()
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color = couleurs_sources.get(nom, "gray")
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y_val = (len(noms_valides) - 1 - idx) * y_spacing
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x_curve = []
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y_curve = []
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for i in range(len(xs_center)):
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# Pic trapézoïdal
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x_curve.extend([xs_min[i], xs_center[i], xs_max[i]])
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y_curve.extend([0, ys[i], 0])
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# Relier à la suivante si les clusters sont très proches
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if i < len(xs_center) - 1 and xs_min[i + 1] - xs_max[i] <= 1.5:
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x_curve.extend([xs_max[i], xs_min[i + 1]])
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y_curve.extend([0, 0])
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# Ajout d'un point d’ancrage à gauche (252 µS/cm) à z=0
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x_curve = [525] + x_curve
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y_curve = [0] + y_curve
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# Ajouter un point final à la courbe à droite (limite max de l'axe X)
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xlim_max = df_clusters["conductivite_max"].max() + 10
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x_curve.append(xlim_max)
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y_curve.append(0)
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# Tracé 3D
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ax.plot(x_curve, [y_val] * len(x_curve), y_curve, color=color, linewidth=2, alpha=0.8)
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# Affichage du nom de la source
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ax.text(
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x=df_clusters["conductivite_moyenne"].min() - 30,
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y=y_val,
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z=0,
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s=nom,
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color=color,
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fontsize=10,
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ha='right',
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va='center'
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)
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# === Configuration finale du graphique ===
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ax.set_yticks([])
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ax.set_xlabel("Conductivité (c25°C, µS/cm)", labelpad=15)
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ax.set_ylabel("")
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ax.set_zlabel("Fréquence normalisée", labelpad=10)
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ax.set_title("Courbes 3D type histogrammes par source (pics trapézoïdaux DBSCAN)", pad=20)
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ax.set_xlim(525, df_clusters["conductivite_max"].max() + 10)
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ax.set_ylim(-y_spacing, len(noms_valides) * y_spacing)
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ax.set_zlim(0, 1)
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ax.view_init(elev=10, azim=-120)
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plt.tight_layout()
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plt.show()
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pandas==2.3.1
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numpy==2.3.1
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matplotlib==3.10.3
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mpl-tools==0.4.1
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openpyxl==3.1.5
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scipy==1.16.0
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scikit-learn==1.7.1
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