from dash import Dash, html, dcc, Input, Output, State, no_update
import dash
import plotly.graph_objects as go
import numpy as np
from GHA_triaxial.panou import gha1_ana
from GHA_triaxial.panou_2013_2GHA_num import gha2_num
from ellipsoide import EllipsoidTriaxial
import winkelumrechnungen as wu
app = Dash(__name__, suppress_callback_exceptions=True)
app.title = "Geodätische Hauptaufgaben"
def abplattung(a, b):
return (a - b) / a
def ellipsoid_figure(ax, ay, b, pts=None, lines=None, title="Dreiachsiges Ellipsoid"):
u = np.linspace(-np.pi/2, np.pi/2, 80)
v = np.linspace(-np.pi, np.pi, 160)
U, V = np.meshgrid(u, v)
X = ax * np.cos(U) * np.cos(V)
Y = ay * np.cos(U) * np.sin(V)
Z = b * np.sin(U)
fig = go.Figure()
fig.add_trace(go.Surface(
x=X, y=Y, z=Z, showscale=False, opacity=0.7,
surfacecolor=np.zeros_like(X),
colorscale=[[0, "rgb(200,220,255)"], [1, "rgb(200,220,255)"]],
name="Ellipsoid"
))
meridians_deg = np.arange(0, 360, 15)
lat_line = np.linspace(-np.pi/2, np.pi/2, 240)
for lon_deg in meridians_deg:
lam = np.deg2rad(lon_deg)
phi = lat_line
xm = ax * np.cos(phi) * np.cos(lam)
ym = ay * np.cos(phi) * np.sin(lam)
zm = b * np.sin(phi)
fig.add_trace(go.Scatter3d(
x=xm, y=ym, z=zm, mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
parallels_deg = np.arange(-75, 90, 15)
lon_line = np.linspace(0, 2*np.pi, 360)
for lat_deg in parallels_deg:
phi = np.deg2rad(lat_deg)
lam = lon_line
xp = ax * np.cos(phi) * np.cos(lam)
yp = ay * np.cos(phi) * np.sin(lam)
zp = b * np.sin(phi) * np.ones_like(lam)
fig.add_trace(go.Scatter3d(
x=xp, y=yp, z=zp, mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
if pts:
for name, (px, py, pz), color in pts:
fig.add_trace(go.Scatter3d(
x=[px], y=[py], z=[pz],
mode="markers+text",
marker=dict(size=6, color=color),
text=[name], textposition="top center",
name=name, showlegend=False
))
if lines:
for (p1, p2) in lines:
xline = [p1[0], p2[0]]
yline = [p1[1], p2[1]]
zline = [p1[2], p2[2]]
fig.add_trace(go.Scatter3d(
x=xline, y=yline, z=zline,
mode="lines",
line=dict(width=4, color="red"),
showlegend=False
))
rx, ry, rz = 1.05*ax, 1.05*ay, 1.05*b
fig.update_layout(
title=title,
scene=dict(
xaxis=dict(range=[-rx, rx], title="X [m]"),
yaxis=dict(range=[-ry, ry], title="Y [m]"),
zaxis=dict(range=[-rz, rz], title="Z [m]"),
aspectmode="data"
),
margin=dict(l=0, r=0, t=40, b=0),
)
return fig
app.layout = html.Div(
style={"fontFamily": "Arial", "margin": "40px"},
children=[
html.H1("Geodätische Hauptaufgaben"),
html.H2("für dreiachsige Ellipsoide"),
html.Label("Ellipsoid wählen:"),
dcc.Dropdown(
id="my-dropdown",
options=[
{"label": "BursaFialova1993", "value": "BursaFialova1993"},
{"label": "BursaSima1980", "value": "BursaSima1980"},
{"label": "BursaSima1980round", "value": "BursaSima1980round"},
{"label": "Eitschberger1978", "value": "Eitschberger1978"},
{"label": "Bursa1972", "value": "Bursa1972"},
{"label": "Bursa1970", "value": "Bursa1970"},
{"label": "Bessel-biaxial", "value": "Bessel-biaxial"},
#{"label": "Ei", "value": "Ei"},
],
value="",
style={"width": "300px", "marginBottom": "20px"},
),
html.Label("Halbachsen:"),
dcc.Input(
id="input-1",
type="number",
placeholder="ax...",
style={"marginBottom": "10px", "display": "block", "width": "300px"},
),
dcc.Input(
id="input-2",
type="number",
placeholder="ay...",
style={"marginBottom": "10px", "display": "block", "width": "300px"},
),
dcc.Input(
id="input-3",
type="number",
placeholder="b...",
style={"marginBottom": "20px", "display": "block", "width": "300px"},
),
html.Button(
"Ellipsoid Berechnen",
id="calc-ell",
n_clicks=0,
style={"marginRight": "10px", "marginBottom": "20px"},
),
html.Div(id="output-area", style={"marginBottom": "20px"}),
dcc.Tabs(
id="tabs-GHA",
value="tab-GHA1",
style={"marginRight": "10px", "marginBottom": "20px", "width": "50%"},
children=[
dcc.Tab(label="Erste Hauptaufgabe", value="tab-GHA1"),
dcc.Tab(label="Zweite Hauptaufgabe", value="tab-GHA2"),
],
),
html.Div(
id="tabs-GHA-out",
style={"marginRight": "10px", "marginBottom": "20px", "width": "50%"},
),
html.Div(id="output-gha1", style={"marginBottom": "20px"}),
html.Div(id="output-gha2", style={"marginBottom": "20px"}),
dcc.Graph(
id="ellipsoid-plot",
style={"height": "500px", "width": "700px"},
),
html.P(
"© 2025",
style={
"margin": 0,
"fontSize": "12px",
"color": "gray",
"textAlign": "center",
"padding": "5px 0",
},
),
],
)
@app.callback(
Output("input-1", "value"),
Output("input-2", "value"),
Output("input-3", "value"),
Input("my-dropdown", "value"),
)
def fill_inputs_from_dropdown(selected_ell):
if not selected_ell:
return None, None, None
ell = EllipsoidTriaxial.init_name(selected_ell)
ax = ell.ax
ay = ell.ay
b = ell.b
return ax, ay, b
@app.callback(
Output("output-area", "children"),
Input("calc-ell", "n_clicks"),
State("input-1", "value"),
State("input-3", "value"),
)
def update_output(n_clicks, ax, b):
if not n_clicks or ax is None or b is None:
return ""
f = abplattung(ax, b)
return f"Abplattung f = {f:.10e}"
@app.callback(
Output("tabs-GHA-out", "children"),
Input("tabs-GHA", "value"),
)
def render_content(tab):
show1 = {"display": "block"} if tab == "tab-GHA1" else {"display": "none"}
show2 = {"display": "block"} if tab == "tab-GHA2" else {"display": "none"}
pane_gha1 = html.Div(
[
dcc.Input(id="input-GHA1-beta1", type="number", placeholder="β1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA1-lamb1", type="number", placeholder="λ1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA1-s", type="number", placeholder="s...[m]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA1-a", type="number", placeholder="α...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Checklist(
id="method-checklist-1",
options=[
{"label": "Analytisch", "value": "analytisch"},
{"label": "Numerisch", "value": "numerisch"},
{"label": "Stochastisch (ES)", "value": "stochastisch"},
],
value=[],
style={"marginBottom": "20px"},
),
html.Div(
[
html.Button(
"Berechnen",
id="button-calc-gha1",
n_clicks=0,
style={"marginRight": "10px"},
),
],
style={"marginBottom": "20px"},
),
],
id="pane-gha1",
style=show1,
)
pane_gha2 = html.Div(
[
dcc.Input(id="input-GHA2-beta1", type="number", placeholder="β1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA2-lamb1", type="number", placeholder="λ1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA2-beta2", type="number", placeholder="β2...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA2-lamb2", type="number", placeholder="λ2...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Checklist(
id="method-checklist-2",
options=[
{"label": "Analytisch", "value": "analytisch"},
{"label": "Numerisch", "value": "numerisch"},
{"label": "Stochastisch (ES)", "value": "stochastisch"},
],
value=[],
style={"marginBottom": "20px"},
),
html.Div(
[
html.Button(
"Berechnen",
id="button-calc-gha2",
n_clicks=0,
style={"marginRight": "10px"},
),
],
style={"marginBottom": "20px"},
),
],
id="pane-gha2",
style=show2,
)
return html.Div([pane_gha1, pane_gha2])
@app.callback(
Output("output-gha1", "children"),
Output("output-gha2", "children"),
Output("ellipsoid-plot", "figure"),
Input("button-calc-gha1", "n_clicks"),
Input("button-calc-gha2", "n_clicks"),
State("input-GHA1-beta1", "value"),
State("input-GHA1-lamb1", "value"),
State("input-GHA1-s", "value"),
State("input-GHA1-a", "value"),
State("input-GHA2-beta1", "value"),
State("input-GHA2-lamb1", "value"),
State("input-GHA2-beta2", "value"),
State("input-GHA2-lamb2", "value"),
State("my-dropdown", "value"),
prevent_initial_call=True,
)
def calc_and_plot(n1, n2,
beta11, lamb11, s, a_deg,
beta1, lamb1, beta2, lamb2,
ell_name):
if not (n1 or n2):
return no_update, no_update, no_update
if not ell_name:
return "Bitte Ellipsoid wählen.", "", go.Figure()
ell = EllipsoidTriaxial.init_name(ell_name)
if dash.ctx.triggered_id == "button-calc-gha1":
if None in (beta11, lamb11, s, a_deg):
return "Bitte β₁, λ₁, s und α eingeben.", "", go.Figure()
beta_rad = wu.deg2rad(float(beta11))
lamb_rad = wu.deg2rad(float(lamb11))
alpha_rad = wu.deg2rad(float(a_deg))
s_val = float(s)
p1 = tuple(map(float, ell.ell2cart(beta_rad, lamb_rad)))
x2, y2, z2 = gha1_ana(ell, p1, alpha_rad, s_val, 70)
p2 = (float(x2), float(y2), float(z2))
fig = ellipsoid_figure(
ell.ax, ell.ay, ell.b,
pts=[("P1", p1, "black"), ("P2", p2, "red")],
lines=[(p1, p2)],
title="Erste Hauptaufgabe - analystisch"
)
out1 = f"x₂={p2[0]:.3f}, y₂={p2[1]:.3f}, z₂={p2[2]:.3f}"
return out1, "", fig
if dash.ctx.triggered_id == "button-calc-gha2":
if None in (beta1, lamb1, beta2, lamb2):
return "", "Bitte β₁, λ₁, β₂, λ₂ eingeben.", go.Figure()
alpha_1, alpha_2, s12 = gha2_num(
ell,
np.deg2rad(float(beta1)), np.deg2rad(float(lamb1)),
np.deg2rad(float(beta2)), np.deg2rad(float(lamb2))
)
p1 = tuple(ell.ell2cart(np.deg2rad(float(beta1)), np.deg2rad(float(lamb1))))
p2 = tuple(ell.ell2cart(np.deg2rad(float(beta2)), np.deg2rad(float(lamb2))))
fig = ellipsoid_figure(
ell.ax, ell.ay, ell.b,
pts=[("P1", p1, "black"), ("P2", p2, "red")],
lines=[(p1, p2)],
title=f"Zweite Hauptaufgabe - numerisch"
)
out2 = f"a₁₂={np.rad2deg(alpha_1):.6f}°, a₂₁={np.rad2deg(alpha_2):.6f}°, s={s12:.4f} m"
return "", out2, fig
return no_update, no_update, no_update
if __name__ == "__main__":
app.run(debug=False)