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Berechnungsverfahren und Darstellung

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Tammo.Weber
2025-12-16 16:31:24 +01:00
parent 30a610ccf6
commit 0f47be3a9f
1 changed files with 250 additions and 118 deletions
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368
dashborad.py
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@@ -4,9 +4,11 @@ import plotly.graph_objects as go
import numpy as np
from GHA_triaxial.panou import gha1_ana
from GHA_triaxial.panou import gha1_num
from GHA_triaxial.panou_2013_2GHA_num import gha2_num
from ellipsoide import EllipsoidTriaxial
import winkelumrechnungen as wu
import ausgaben as aus
app = Dash(__name__, suppress_callback_exceptions=True)
@@ -16,72 +18,11 @@ 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)
def ellipsoid_figure(ell: EllipsoidTriaxial, title="Dreiachsiges Ellipsoid"):
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
# Darstellung
rx, ry, rz = 1.05*ell.ax, 1.05*ell.ay, 1.05*ell.b
fig.update_layout(
title=title,
scene=dict(
@@ -92,11 +33,127 @@ def ellipsoid_figure(ax, ay, b, pts=None, lines=None, title="Dreiachsiges Ellips
),
margin=dict(l=0, r=0, t=40, b=0),
)
# 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, Y, Z = ell.para2cart(U, V)
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"
))
return fig
def figure_constant_lines(fig, ell: EllipsoidTriaxial, coordsystem: str = "para"):
if coordsystem == "para":
constants_u = wu.deg2rad(np.arange(0, 360, 15))
all_v = np.linspace(-np.pi / 2, np.pi / 2, 361)
for u in constants_u:
xm, ym, zm = ell.para2cart(u, all_v)
fig.add_trace(go.Scatter3d(
x=xm, y=ym, z=zm, mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
all_u = np.linspace(0, 2 * np.pi, 361)
constants_v = wu.deg2rad(np.arange(-75, 90, 15))
for v in constants_v:
x, y, z = ell.para2cart(all_u, v)
fig.add_trace(go.Scatter3d(
x=x, y=y, z=z, mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
elif coordsystem == "ell":
constants_beta = wu.deg2rad(np.arange(-75, 90, 15))
all_lamb = np.linspace(0, 2 * np.pi, 361)
for beta in constants_beta:
xyz = ell.ell2cart(beta, all_lamb)
fig.add_trace(go.Scatter3d(
x=xyz[:, 0], y=xyz[:, 1], z=xyz[:, 2], mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
all_beta = np.linspace(-np.pi / 2, np.pi / 2, 361)
constants_lamb = wu.deg2rad(np.arange(0, 360, 15))
for lamb in constants_lamb:
xyz = ell.ell2cart(all_beta, lamb)
fig.add_trace(go.Scatter3d(
x=xyz[:, 0], y=xyz[:, 1], z=xyz[:, 2], mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
elif coordsystem == "geod":
constants_phi = wu.deg2rad(np.arange(-75, 90, 15))
all_lamb = np.linspace(0, 2 * np.pi, 361)
for phi in constants_phi:
x, y, z = ell.geod2cart(phi, all_lamb, 0)
fig.add_trace(go.Scatter3d(
x=x, y=y, z=z, mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
all_phi = np.linspace(-np.pi / 2, np.pi / 2, 361)
constants_lamb = wu.deg2rad(np.arange(0, 360, 15))
for lamb in constants_lamb:
x, y, z = ell.geod2cart(all_phi, lamb, 0)
fig.add_trace(go.Scatter3d(
x=x, y=y, z=z, mode="lines",
line=dict(width=1, color="black"),
showlegend=False
))
return fig
def figure_points(fig, points):
"""
:param fig: plotly.graph_objects.Figure
:param points: Punktliste [(name, (x,y,z), color)]
:return: plotly.graph_objects.Figure
"""
for name, (px, py, pz), color in points:
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
))
return fig
def figure_lines(fig, lines):
"""
:param fig: plotly.graph_objects.Figure
:param lines: Linienliste [((x1,y1,z1), (x2,y2,z2), color)]
:return: plotly.graph_objects.Figure
"""
for (p1, p2, color) 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=color),
showlegend=False
))
return fig
app.layout = html.Div(
style={"fontFamily": "Arial", "margin": "40px"},
style={"fontFamily": "Arial", "padding": "5px", "width": "70%", "margin-left": "auto"},
children=[
html.H1("Geodätische Hauptaufgaben"),
html.H2("für dreiachsige Ellipsoide"),
@@ -111,7 +168,8 @@ app.layout = html.Div(
{"label": "Eitschberger1978", "value": "Eitschberger1978"},
{"label": "Bursa1972", "value": "Bursa1972"},
{"label": "Bursa1970", "value": "Bursa1970"},
{"label": "Bessel-biaxial", "value": "Bessel-biaxial"},
{"label": "BesselBiaxial", "value": "BesselBiaxial"},
{"label": "Fiction", "value": "Fiction"},
#{"label": "Ei", "value": "Ei"},
],
value="",
@@ -122,24 +180,27 @@ app.layout = html.Div(
dcc.Input(
id="input-1",
type="number",
placeholder="ax...",
min=0,
placeholder="ax...[m]",
style={"marginBottom": "10px", "display": "block", "width": "300px"},
),
dcc.Input(
id="input-2",
type="number",
placeholder="ay...",
min=0,
placeholder="ay...[m]",
style={"marginBottom": "10px", "display": "block", "width": "300px"},
),
dcc.Input(
id="input-3",
type="number",
placeholder="b...",
min=0,
placeholder="b...[m]",
style={"marginBottom": "20px", "display": "block", "width": "300px"},
),
html.Button(
"Ellipsoid Berechnen",
"Ellipsoid berechnen",
id="calc-ell",
n_clicks=0,
style={"marginRight": "10px", "marginBottom": "20px"},
@@ -174,11 +235,9 @@ app.layout = html.Div(
html.P(
"© 2025",
style={
"margin": 0,
"fontSize": "12px",
"color": "gray",
"textAlign": "center",
"padding": "5px 0",
},
),
],
@@ -207,14 +266,18 @@ def fill_inputs_from_dropdown(selected_ell):
Output("output-area", "children"),
Input("calc-ell", "n_clicks"),
State("input-1", "value"),
State("input-2", "value"),
State("input-3", "value"),
)
def update_output(n_clicks, ax, b):
if not n_clicks or ax is None or b is None:
def update_output(n_clicks, ax, ay, b):
if not n_clicks:
return ""
f = abplattung(ax, b)
return f"Abplattung f = {f:.10e}"
if n_clicks and ax is None or ay is None or b is None:
return html.Span("Bitte Ellipsoid auswählen!", style={"color": "red"})
if ay >= ax or b >= ay or ax <= 0 or ay <= 0 or b <= 0:
return html.Span("Eingabe inkorrekt.", style={"color": "red"})
ell = EllipsoidTriaxial(ax, ay, b)
return f"ex = {round(ell.ex, 6)}, ", f"ey = {round(ell.ey, 6)}, ", f"ee = {round(ell.ee, 6)}"
@app.callback(
Output("tabs-GHA-out", "children"),
@@ -226,13 +289,13 @@ def render_content(tab):
pane_gha1 = html.Div(
[
dcc.Input(id="input-GHA1-beta1", type="number", placeholder="β1...[°]",
dcc.Input(id="input-GHA1-beta1", type="number", min=-90, max=90, placeholder="β1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA1-lamb1", type="number", placeholder="λ1...[°]",
dcc.Input(id="input-GHA1-lamb1", type="number", min=-180, max=180, placeholder="λ1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA1-s", type="number", placeholder="s...[m]",
dcc.Input(id="input-GHA1-s", type="number", min=0, placeholder="s...[m]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA1-a", type="number", placeholder="α...[°]",
dcc.Input(id="input-GHA1-a", type="number", min=0, max=360, placeholder="α...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Checklist(
@@ -263,19 +326,18 @@ def render_content(tab):
pane_gha2 = html.Div(
[
dcc.Input(id="input-GHA2-beta1", type="number", placeholder="β1...[°]",
dcc.Input(id="input-GHA2-beta1", type="number", min=-90, max=90, placeholder="β1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA2-lamb1", type="number", placeholder="λ1...[°]",
dcc.Input(id="input-GHA2-lamb1", type="number", min=-180, max=180, placeholder="λ1...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA2-beta2", type="number", placeholder="β2...[°]",
dcc.Input(id="input-GHA2-beta2", type="number", min=-90, max=90, placeholder="β2...[°]",
style={"marginBottom": "20px", "display": "block", "width": "300px"}),
dcc.Input(id="input-GHA2-lamb2", type="number", placeholder="λ2...[°]",
dcc.Input(id="input-GHA2-lamb2", type="number", min=-180, max=180, 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"},
],
@@ -315,25 +377,31 @@ def render_content(tab):
State("input-GHA2-lamb1", "value"),
State("input-GHA2-beta2", "value"),
State("input-GHA2-lamb2", "value"),
State("my-dropdown", "value"),
State("input-1", "value"),
State("input-2", "value"),
State("input-3", "value"),
State("method-checklist-1", "value"),
State("method-checklist-2", "value"),
prevent_initial_call=True,
)
def calc_and_plot(n1, n2,
beta11, lamb11, s, a_deg,
beta1, lamb1, beta2, lamb2,
ell_name):
beta21, lamb21, beta22, lamb22,
ax, ay, b, method1, method2):
if not (n1 or n2):
return no_update, no_update, no_update
if not ell_name:
return "Bitte Ellipsoid wählen.", "", go.Figure()
if not ax or not ay or not b:
return html.Span("Bitte Ellipsoid auswählen!", style={"color": "red"}), "", go.Figure()
ell = EllipsoidTriaxial.init_name(ell_name)
ell = EllipsoidTriaxial(ax, ay, b)
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()
return html.Span("Bitte β₁, λ₁, s und α eingeben.", style={"color": "red"}), "", go.Figure()
beta_rad = wu.deg2rad(float(beta11))
lamb_rad = wu.deg2rad(float(lamb11))
@@ -341,40 +409,104 @@ def calc_and_plot(n1, n2,
s_val = float(s)
p1 = tuple(map(float, ell.ell2cart(beta_rad, lamb_rad)))
out1 = []
x2, y2, z2 = gha1_ana(ell, p1, alpha_rad, s_val, 70)
p2 = (float(x2), float(y2), float(z2))
if "analytisch" in method1:
# ana
x2, y2, z2 = gha1_ana(ell, p1, alpha_rad, s_val, 70)
p2_ana = (float(x2), float(y2), float(z2))
beta2, lamb2 = ell.cart2ell([x2, y2, 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"kartesisch: x₂={p2[0]:.5f} m, y₂={p2[1]:.5f} m, z₂={p2[2]:.5f} m; ellipsoidisch: {aus.gms("β₂", beta2, 5)}, {aus.gms("λ₂", lamb2, 5)},"
out1.append(
html.Div([
html.Strong("Analytisch: "),
html.Br(),
html.Span(f"kartesisch: x₂={x2:.4f} m, y₂={y2:.4f} m, z₂={z2:.4f} m"),
html.Br(),
html.Span(f"ellipsoidisch: {aus.gms('β₂', beta2, 4)}, {aus.gms('λ₂', lamb2, 4)}")
])
)
out1 = f"x₂={p2[0]:.3f}, y₂={p2[1]:.3f}, z₂={p2[2]:.3f}"
if "numerisch" in method1:
# num
#p2_num = gha1_num(ell, p1, alpha_rad, s_val, 1000)
p2_num = 5
#out1 += f" {p2_num}"
out1.append(
html.Div([
html.Strong("Numerisch: "),
html.Span(f"{p2_num}")
])
)
if "stochastisch" in method1:
# stoch
p2_stoch = "noch nicht implementiert.."
out1.append(
html.Div([
html.Strong("Stochastisch (ES): "),
html.Span(f"{p2_stoch}")
])
)
if not method1:
return html.Span("Bitte Berechnungsverfahren auswählen!", style={"color": "red"}), "", go.Figure()
fig = ellipsoid_figure(ell, title="Erste Hauptaufgabe - analystisch")
#fig = figure_constant_lines(fig, ell, "geod")
fig = figure_constant_lines(fig, ell, "ell")
#fig = figure_constant_lines(fig, ell, "para")
fig = figure_points(fig, [("P1", p1, "black"), ("P2", p2_ana, "red")])
fig = figure_lines(fig, [(p1, p2_ana, "red")])
#out1 = f"kartesisch: x₂={p2[0]:.5f} m, y₂={p2[1]:.5f} m, z₂={p2[2]:.5f} m; ellipsoidisch: {aus.gms("β₂", beta2, 5)}, {aus.gms("λ₂", lamb2, 5)}, {p2_num}"
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()
if None in (beta21, lamb21, beta22, lamb22):
return html.Span("Bitte β₁, λ₁, β₂, λ₂ eingeben.", style={"color": "red"}), "", 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(beta21)), np.deg2rad(float(lamb21))))
p2 = tuple(ell.ell2cart(np.deg2rad(float(beta22)), np.deg2rad(float(lamb22))))
p1 = tuple(ell.ell2cart(np.deg2rad(float(beta1)), np.deg2rad(float(lamb1))))
p2 = tuple(ell.ell2cart(np.deg2rad(float(beta2)), np.deg2rad(float(lamb2))))
out2 = []
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"
if "numerisch" in method2:
alpha_1, alpha_2, s12 = gha2_num(
ell,
np.deg2rad(float(beta21)), np.deg2rad(float(lamb21)),
np.deg2rad(float(beta22)), np.deg2rad(float(lamb22))
)
out2.append(
html.Div([
html.Strong("Numerisch: "),
html.Span(f"{aus.gms('α₁₂', alpha_1, 4)}, {aus.gms('α₂₁', alpha_2, 4)}, s = {s12:.4f} m"),
])
)
if "stochastisch" in method2:
# stoch
a_stoch = "noch nicht implementiert.."
out2.append(
html.Div([
html.Strong("Stochastisch (ES): "),
html.Span(f"{a_stoch}")
])
)
if not method2:
return html.Span("Bitte Berechnungsverfahren auswählen!", style={"color": "red"}), "", go.Figure()
fig = ellipsoid_figure(ell, title="Zweite Hauptaufgabe")
fig = figure_constant_lines(fig, ell, "ell")
fig = figure_points(fig, [("P1", p1, "black"), ("P2", p2, "red")])
fig = figure_lines(fig, [(p1, p2, "red")])
return "", out2, fig
return no_update, no_update, no_update