438 lines
15 KiB
Python
438 lines
15 KiB
Python
from dash import Dash, html, dcc, Input, Output, State, no_update
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import dash
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import plotly.graph_objects as go
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import numpy as np
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from GHA_triaxial.panou import gha1_ana
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from GHA_triaxial.panou_2013_2GHA_num import gha2_num
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from ellipsoide import EllipsoidTriaxial
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import winkelumrechnungen as wu
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app = Dash(__name__, suppress_callback_exceptions=True)
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app.title = "Geodätische Hauptaufgaben"
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def abplattung(a, b):
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return (a - b) / a
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def ellipsoid_figure(ell: EllipsoidTriaxial, title="Dreiachsiges Ellipsoid"):
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fig = go.Figure()
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# Darstellung
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rx, ry, rz = 1.05*ell.ax, 1.05*ell.ay, 1.05*ell.b
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fig.update_layout(
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title=title,
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scene=dict(
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xaxis=dict(range=[-rx, rx], title="X [m]"),
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yaxis=dict(range=[-ry, ry], title="Y [m]"),
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zaxis=dict(range=[-rz, rz], title="Z [m]"),
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aspectmode="data"
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),
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margin=dict(l=0, r=0, t=40, b=0),
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)
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# Ellipsoid
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u = np.linspace(-np.pi/2, np.pi/2, 80)
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v = np.linspace(-np.pi, np.pi, 160)
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U, V = np.meshgrid(u, v)
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X, Y, Z = ell.para2cart(U, V)
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fig.add_trace(go.Surface(
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x=X, y=Y, z=Z, showscale=False, opacity=0.7,
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surfacecolor=np.zeros_like(X),
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colorscale=[[0, "rgb(200,220,255)"], [1, "rgb(200,220,255)"]],
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name="Ellipsoid"
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))
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return fig
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def figure_constant_lines(fig, ell: EllipsoidTriaxial, coordsystem: str = "para"):
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if coordsystem == "para":
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constants_u = wu.deg2rad(np.arange(0, 360, 15))
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all_v = np.linspace(-np.pi / 2, np.pi / 2, 361)
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for u in constants_u:
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xm, ym, zm = ell.para2cart(u, all_v)
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fig.add_trace(go.Scatter3d(
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x=xm, y=ym, z=zm, mode="lines",
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line=dict(width=1, color="black"),
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showlegend=False
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))
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all_u = np.linspace(0, 2 * np.pi, 361)
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constants_v = wu.deg2rad(np.arange(-75, 90, 15))
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for v in constants_v:
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x, y, z = ell.para2cart(all_u, v)
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fig.add_trace(go.Scatter3d(
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x=x, y=y, z=z, mode="lines",
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line=dict(width=1, color="black"),
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showlegend=False
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))
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elif coordsystem == "ell":
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constants_beta = wu.deg2rad(np.arange(-75, 90, 15))
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all_lamb = np.linspace(0, 2 * np.pi, 361)
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for beta in constants_beta:
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xyz = ell.ell2cart(beta, all_lamb)
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fig.add_trace(go.Scatter3d(
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x=xyz[:, 0], y=xyz[:, 1], z=xyz[:, 2], mode="lines",
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line=dict(width=1, color="black"),
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showlegend=False
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))
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all_beta = np.linspace(-np.pi / 2, np.pi / 2, 361)
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constants_lamb = wu.deg2rad(np.arange(0, 360, 15))
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for lamb in constants_lamb:
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xyz = ell.ell2cart(all_beta, lamb)
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fig.add_trace(go.Scatter3d(
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x=xyz[:, 0], y=xyz[:, 1], z=xyz[:, 2], mode="lines",
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line=dict(width=1, color="black"),
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showlegend=False
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))
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elif coordsystem == "geod":
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constants_phi = wu.deg2rad(np.arange(-75, 90, 15))
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all_lamb = np.linspace(0, 2 * np.pi, 361)
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for phi in constants_phi:
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x, y, z = ell.geod2cart(phi, all_lamb, 0)
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fig.add_trace(go.Scatter3d(
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x=x, y=y, z=z, mode="lines",
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line=dict(width=1, color="black"),
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showlegend=False
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))
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all_phi = np.linspace(-np.pi / 2, np.pi / 2, 361)
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constants_lamb = wu.deg2rad(np.arange(0, 360, 15))
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for lamb in constants_lamb:
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x, y, z = ell.geod2cart(all_phi, lamb, 0)
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fig.add_trace(go.Scatter3d(
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x=x, y=y, z=z, mode="lines",
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line=dict(width=1, color="black"),
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showlegend=False
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))
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return fig
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def figure_points(fig, points):
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"""
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:param fig: plotly.graph_objects.Figure
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:param points: Punktliste [(name, (x,y,z), color)]
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:return: plotly.graph_objects.Figure
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"""
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for name, (px, py, pz), color in points:
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fig.add_trace(go.Scatter3d(
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x=[px], y=[py], z=[pz],
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mode="markers+text",
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marker=dict(size=6, color=color),
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text=[name], textposition="top center",
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name=name, showlegend=False
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))
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return fig
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def figure_lines(fig, lines):
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"""
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:param fig: plotly.graph_objects.Figure
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:param lines: Linienliste [((x1,y1,z1), (x2,y2,z2), color)]
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:return: plotly.graph_objects.Figure
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"""
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for (p1, p2, color) in lines:
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xline = [p1[0], p2[0]]
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yline = [p1[1], p2[1]]
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zline = [p1[2], p2[2]]
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fig.add_trace(go.Scatter3d(
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x=xline, y=yline, z=zline,
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mode="lines",
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line=dict(width=4, color=color),
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showlegend=False
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))
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return fig
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app.layout = html.Div(
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style={"fontFamily": "Arial", "margin": "40px"},
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children=[
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html.H1("Geodätische Hauptaufgaben"),
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html.H2("für dreiachsige Ellipsoide"),
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html.Label("Ellipsoid wählen:"),
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dcc.Dropdown(
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id="dropdown_ellispoid",
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options=[
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{"label": "BursaFialova1993", "value": "BursaFialova1993"},
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{"label": "BursaSima1980", "value": "BursaSima1980"},
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{"label": "BursaSima1980round", "value": "BursaSima1980round"},
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{"label": "Eitschberger1978", "value": "Eitschberger1978"},
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{"label": "Bursa1972", "value": "Bursa1972"},
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{"label": "Bursa1970", "value": "Bursa1970"},
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{"label": "Bessel-biaxial", "value": "Bessel-biaxial"},
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{"label": "Fiction", "value": "Fiction"},
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# {"label": "Ei", "value": "Ei"},
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],
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value="",
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style={"width": "300px", "marginBottom": "20px"},
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),
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html.Label("Halbachsen:"),
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dcc.Input(
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id="input_ax",
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type="number",
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placeholder="ax...[m]",
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style={"marginBottom": "10px", "display": "block", "width": "300px"},
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),
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dcc.Input(
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id="input_ay",
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type="number",
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placeholder="ay...[m]",
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style={"marginBottom": "10px", "display": "block", "width": "300px"},
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),
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dcc.Input(
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id="input_b",
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type="number",
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placeholder="b...[m]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"},
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),
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html.Button(
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"Ellipsoid Berechnen",
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id="calc-ell",
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n_clicks=0,
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style={"marginRight": "10px", "marginBottom": "20px"},
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),
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html.Div(id="output-area", style={"marginBottom": "20px"}),
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dcc.Tabs(
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id="tabs-GHA",
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value="tab-GHA1",
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style={"marginRight": "10px", "marginBottom": "20px", "width": "50%"},
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children=[
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dcc.Tab(label="Erste Hauptaufgabe", value="tab-GHA1"),
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dcc.Tab(label="Zweite Hauptaufgabe", value="tab-GHA2"),
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],
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),
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html.Div(
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id="tabs-GHA-out",
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style={"marginRight": "10px", "marginBottom": "20px", "width": "50%"},
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),
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html.Div(id="output-gha1", style={"marginBottom": "20px"}),
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html.Div(id="output-gha2", style={"marginBottom": "20px"}),
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dcc.Graph(
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id="ellipsoid-plot",
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style={"height": "500px", "width": "700px"},
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),
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html.P(
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"© 2025",
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style={
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"margin": 0,
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"fontSize": "12px",
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"color": "gray",
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"textAlign": "center",
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"padding": "5px 0",
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},
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),
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],
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)
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@app.callback(
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Output("input_ax", "value"),
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Output("input_ay", "value"),
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Output("input_b", "value"),
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Input("dropdown_ellispoid", "value"),
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)
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def fill_inputs_from_dropdown(selected_ell):
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if not selected_ell:
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return None, None, None
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ell = EllipsoidTriaxial.init_name(selected_ell)
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ax = ell.ax
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ay = ell.ay
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b = ell.b
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return ax, ay, b
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@app.callback(
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Output("output-area", "children"),
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Input("calc-ell", "n_clicks"),
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State("input_ax", "value"),
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State("input_b", "value"),
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)
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def update_output(n_clicks, ax, b):
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if not n_clicks or ax is None or b is None:
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return ""
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f = abplattung(ax, b)
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return f"Abplattung f = {f:.10e}"
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@app.callback(
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Output("tabs-GHA-out", "children"),
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Input("tabs-GHA", "value"),
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)
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def render_content(tab):
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show1 = {"display": "block"} if tab == "tab-GHA1" else {"display": "none"}
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show2 = {"display": "block"} if tab == "tab-GHA2" else {"display": "none"}
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pane_gha1 = html.Div(
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[
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dcc.Input(id="input-GHA1-beta1", type="number", placeholder="β1...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Input(id="input-GHA1-lamb1", type="number", placeholder="λ1...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Input(id="input-GHA1-s", type="number", placeholder="s...[m]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Input(id="input-GHA1-a", type="number", placeholder="α...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Checklist(
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id="method-checklist-1",
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options=[
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{"label": "Analytisch", "value": "analytisch"},
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{"label": "Numerisch", "value": "numerisch"},
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{"label": "Stochastisch (ES)", "value": "stochastisch"},
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],
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value=[],
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style={"marginBottom": "20px"},
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),
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html.Div(
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[
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html.Button(
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"Berechnen",
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id="button-calc-gha1",
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n_clicks=0,
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style={"marginRight": "10px"},
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),
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],
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style={"marginBottom": "20px"},
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),
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],
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id="pane-gha1",
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style=show1,
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)
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pane_gha2 = html.Div(
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[
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dcc.Input(id="input-GHA2-beta1", type="number", placeholder="β1...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Input(id="input-GHA2-lamb1", type="number", placeholder="λ1...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Input(id="input-GHA2-beta2", type="number", placeholder="β2...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Input(id="input-GHA2-lamb2", type="number", placeholder="λ2...[°]",
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style={"marginBottom": "20px", "display": "block", "width": "300px"}),
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dcc.Checklist(
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id="method-checklist-2",
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options=[
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{"label": "Analytisch", "value": "analytisch"},
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{"label": "Numerisch", "value": "numerisch"},
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{"label": "Stochastisch (ES)", "value": "stochastisch"},
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],
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value=[],
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style={"marginBottom": "20px"},
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),
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html.Div(
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[
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html.Button(
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"Berechnen",
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id="button-calc-gha2",
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n_clicks=0,
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style={"marginRight": "10px"},
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),
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],
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style={"marginBottom": "20px"},
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),
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],
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id="pane-gha2",
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style=show2,
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)
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return html.Div([pane_gha1, pane_gha2])
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@app.callback(
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Output("output-gha1", "children"),
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Output("output-gha2", "children"),
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Output("ellipsoid-plot", "figure"),
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Input("button-calc-gha1", "n_clicks"),
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Input("button-calc-gha2", "n_clicks"),
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State("input-GHA1-beta1", "value"),
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State("input-GHA1-lamb1", "value"),
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State("input-GHA1-s", "value"),
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State("input-GHA1-a", "value"),
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State("input-GHA2-beta1", "value"),
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State("input-GHA2-lamb1", "value"),
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State("input-GHA2-beta2", "value"),
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State("input-GHA2-lamb2", "value"),
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State("dropdown_ellispoid", "value"),
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prevent_initial_call=True,
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)
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def calc_and_plot(n1, n2,
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beta11, lamb11, s, a_deg,
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beta1, lamb1, beta2, lamb2,
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ell_name):
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if not (n1 or n2):
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return no_update, no_update, no_update
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if not ell_name:
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return "Bitte Ellipsoid wählen.", "", go.Figure()
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ell = EllipsoidTriaxial.init_name(ell_name)
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if dash.ctx.triggered_id == "button-calc-gha1":
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if None in (beta11, lamb11, s, a_deg):
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return "Bitte β₁, λ₁, s und α eingeben.", "", go.Figure()
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beta_rad = wu.deg2rad(float(beta11))
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lamb_rad = wu.deg2rad(float(lamb11))
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alpha_rad = wu.deg2rad(float(a_deg))
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s_val = float(s)
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p1 = tuple(map(float, ell.ell2cart(beta_rad, lamb_rad)))
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x2, y2, z2 = gha1_ana(ell, p1, alpha_rad, s_val, 70)
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p2 = (float(x2), float(y2), float(z2))
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fig = ellipsoid_figure(ell, title="Erste Hauptaufgabe - analystisch")
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fig = figure_constant_lines(fig, ell, "geod")
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fig = figure_constant_lines(fig, ell, "ell")
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fig = figure_constant_lines(fig, ell, "para")
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fig = figure_points(fig, [("P1", p1, "black"), ("P2", p2, "red")])
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fig = figure_lines(fig, [(p1, p2, "red")])
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out1 = f"x₂={p2[0]:.3f}, y₂={p2[1]:.3f}, z₂={p2[2]:.3f}"
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return out1, "", fig
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if dash.ctx.triggered_id == "button-calc-gha2":
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if None in (beta1, lamb1, beta2, lamb2):
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return "", "Bitte β₁, λ₁, β₂, λ₂ eingeben.", go.Figure()
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alpha_1, alpha_2, s12 = gha2_num(
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ell,
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np.deg2rad(float(beta1)), np.deg2rad(float(lamb1)),
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np.deg2rad(float(beta2)), np.deg2rad(float(lamb2))
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)
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p1 = tuple(ell.ell2cart(np.deg2rad(float(beta1)), np.deg2rad(float(lamb1))))
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p2 = tuple(ell.ell2cart(np.deg2rad(float(beta2)), np.deg2rad(float(lamb2))))
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fig = ellipsoid_figure(ell, title="Zweite Hauptaufgabe - numerisch")
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fig = figure_constant_lines(fig, ell, "para")
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fig = figure_points(fig, [("P1", p1, "black"), ("P2", p2, "red")])
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fig = figure_lines(fig, [(p1, p2, "red")])
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out2 = f"a₁₂={np.rad2deg(alpha_1):.6f}°, a₂₁={np.rad2deg(alpha_2):.6f}°, s={s12:.4f} m"
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return "", out2, fig
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return no_update, no_update, no_update
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if __name__ == "__main__":
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app.run(debug=False)
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