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[bumpversion] | ||
current_version = 0.0.2 | ||
current_version = 0.1.0 | ||
files = setup.py | ||
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from . import gravityDike | ||
from . import gravitySphere |
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import numpy as np | ||
import matplotlib.pyplot as plt | ||
import matplotlib.contour as ctr | ||
import scipy.io | ||
import copy | ||
from math import pi, tan, cos, acos, log, sin | ||
from scipy.constants import G | ||
from ipywidgets import ( | ||
interactive, | ||
IntSlider, | ||
widget, | ||
FloatText, | ||
FloatSlider, | ||
ToggleButton, | ||
VBox, | ||
HBox, | ||
Output, | ||
interactive_output, | ||
Layout, | ||
) | ||
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plotdata = [] # Storage the data that will print on the picture | ||
colorList = [ | ||
"red", | ||
"blue", | ||
"green", | ||
"orange", | ||
"black", | ||
"pink", | ||
"brown", | ||
"deepskyblue", | ||
"darkkhaki", | ||
"fuchsia", | ||
"midnightblue", | ||
"yellow", | ||
"gold", | ||
"lime", | ||
] # The Colors | ||
index = 0 | ||
currentResult = [] | ||
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# The main function and draw the first table | ||
def drawfunction(delta_rho, z1, z2, b, beta, stationSpacing, B): | ||
global plotdata | ||
global index | ||
global colorList | ||
global currentResult | ||
beta = beta * pi / 180 | ||
respEW, respNS, X, Y = datagenerator(delta_rho, z1, z2, b, beta, stationSpacing) | ||
Dpi = 60 | ||
plt.figure(figsize=(10, 22), dpi=Dpi) | ||
ax0 = plt.subplot2grid((22, 1), (1, 0), rowspan=6) | ||
ax2 = plt.subplot2grid((22, 1), (7, 0), rowspan=6) | ||
ax1 = plt.subplot2grid((22, 4), (13, 1), rowspan=4, colspan=2) | ||
textShow = [] | ||
colors = [] | ||
maxG = -100 | ||
minG = 100 | ||
if B: | ||
for each in plotdata: | ||
ax0.plot(each[0], each[1], "k.-", color=each[2]) | ||
textShow.append(each[3]) | ||
colors.append(each[2]) | ||
if each[4] > maxG: | ||
maxG = each[4] | ||
elif each[4] < minG: | ||
minG = each[4] | ||
else: | ||
plotdata.clear() | ||
index = 0 | ||
maxG = -100 | ||
minG = 100 | ||
ax0.plot(Y[:, 0], respNS, "k.-", color=colorList[index]) | ||
currentResult = [Y[:, 0], respNS] | ||
showText = ( | ||
r"$\Delta\rho$" | ||
+ "=" | ||
+ str(delta_rho) | ||
+ ", z1=%.2f" % z1 | ||
+ " ,z2=%.2f" % z2 | ||
+ " ,b=%d ," % b | ||
+ r"$\beta=$%d" % (beta * 180 / pi) | ||
+ " ,Step=%.3f" % stationSpacing | ||
) | ||
textShow.append(showText) | ||
colors.append(colorList[index]) | ||
textLocation = max(max(respNS), maxG) | ||
minG = min(min(respNS), minG) | ||
maxG = max(max(respNS), maxG) | ||
textheight = 12 / 2.845 / 50 * (maxG - minG) | ||
for i in range(len(textShow)): | ||
ax0.text( | ||
-6, | ||
textLocation - i * textheight, | ||
textShow[i], | ||
color=colors[i], | ||
verticalalignment="top", | ||
fontsize=10, | ||
) | ||
ax0.grid(True) | ||
ax0.set_ylabel(r"$\Delta g_z$" + "(mGal)", fontsize=16) | ||
ax0.set_xlabel("x (m)", fontsize=16) | ||
printGrapha(delta_rho, z1, z2, b, beta, ax1, stationSpacing) | ||
printDike(ax2, z1, z2, b, beta, 5) | ||
if B: | ||
plotdata.append( | ||
[ | ||
copy.deepcopy(Y[:, 0]), | ||
copy.deepcopy(respNS), | ||
colorList[index], | ||
showText, | ||
textLocation, | ||
] | ||
) | ||
index += 1 | ||
if index > len(colorList) - 1: | ||
index = 0 | ||
plt.tight_layout() | ||
plt.show() | ||
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# draw the figure of the Dike | ||
def printDike(axeToDraw, z1, z2, b, beta, x): | ||
axeToDraw.plot(0, 0, ".") | ||
axeToDraw.plot([-6, 6], [0, 0], color="black", linewidth=1.5) | ||
x1 = -z1 * float(np.tan(beta)) | ||
x3 = b - z1 * float(np.tan(beta)) | ||
x2 = -z2 * float(np.tan(beta)) | ||
x4 = b - z2 * float(np.tan(beta)) | ||
x1 = min(6, abs(x1)) * getSigned(x1) | ||
x2 = min(6, abs(x2)) * getSigned(x2) | ||
x3 = min(6, abs(x3)) * getSigned(x3) | ||
x4 = min(6, abs(x4)) * getSigned(x4) | ||
axeToDraw.plot([x1, x3], [-z1, -z1], color="black", linewidth=1.0) | ||
axeToDraw.plot([x2, x4], [-z2, -z2], color="black", linewidth=1.0) | ||
if beta != 0: | ||
axeToDraw.plot( | ||
[x1, x2], | ||
[x1 / np.tan(beta), x2 / np.tan(beta)], | ||
color="black", | ||
linewidth=1.0, | ||
) | ||
axeToDraw.plot( | ||
[x3, x4], | ||
[(x3 - b) / np.tan(beta), (x4 - b) / np.tan(beta)], | ||
color="black", | ||
linewidth=1.0, | ||
) | ||
else: | ||
axeToDraw.plot([x1, x2], [-z1, -z2], color="black", linewidth=1.0) | ||
axeToDraw.plot([x3, x4], [-z1, -z2], color="black", linewidth=1.0) | ||
axeToDraw.plot( | ||
[0, -z1 * float(np.tan(beta))], [0, -z1], ":", color="black", linewidth=1.0 | ||
) | ||
axeToDraw.plot([-6, 6], [-6, -6], color="white", linewidth=1.0) | ||
axeToDraw.plot([-6, 6], [1, 1], color="white", linewidth=1.0) | ||
axeToDraw.plot([-6, -6], [-6, 1], color="white", linewidth=1.0) | ||
axeToDraw.plot([6, 6], [1, -6], color="white", linewidth=1.0) | ||
axeToDraw.set_title("Position of Block", fontsize=16) | ||
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# Get the sign of the input | ||
def getSigned(a): | ||
if a > 0: | ||
return 1 | ||
else: | ||
return -1 | ||
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# generate the data of table | ||
def datagenerator(delta_rho, z1, z2, b, beta, stationSpacing): | ||
respEW = 0 | ||
gravity_change = [] | ||
xmax = 6.0 | ||
npts = int(1 / stationSpacing) | ||
x = np.linspace(-xmax, xmax, num=npts) | ||
y = x.copy() | ||
X, Y = np.meshgrid(x, y) | ||
for each in range(npts): | ||
gravity_change.append(calculategravity(delta_rho, z1, z2, b, beta, x[each])) | ||
return respEW, gravity_change, X, Y | ||
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# get the value of the delta gravity | ||
def calculategravity(delta_rho, z1, z2, b, beta, x) -> float: | ||
r1 = pow(pow(x + z1 * tan(beta), 2) + pow(z1, 2), 0.5) | ||
r2 = pow(pow(x + z2 * tan(beta), 2) + pow(z2, 2), 0.5) | ||
r3 = pow(pow(x + z1 * tan(beta) - b, 2) + pow(z1, 2), 0.5) | ||
r4 = pow(pow(x + z2 * tan(beta) - b, 2) + pow(z2, 2), 0.5) | ||
theta1 = acos(z1 / r1) | ||
theta2 = acos(z2 / r2) | ||
theta3 = acos(z1 / r3) | ||
theta4 = acos(z2 / r4) | ||
if x < (-z2 * tan(beta)): | ||
theta2 = -theta2 | ||
if x < (-z1 * tan(beta)): | ||
theta1 = -theta1 | ||
if x < (b - z2 * tan(beta)): | ||
theta4 = -theta4 | ||
if x < (b - z1 * tan(beta)): | ||
theta3 = -theta3 | ||
part1 = z2 * (theta2 - theta4) - z1 * (theta1 - theta3) | ||
part2 = ( | ||
sin(beta) * cos(beta) * (x * (theta2 - theta1) - (x - b) * (theta4 - theta3)) | ||
) | ||
part3 = pow(cos(beta), 2) * (x * log(r2 / r1) - (x - b) * log(r4 / r3)) | ||
g = 2000 * G * delta_rho * (part1 + part2 + part3) | ||
response = g * pow(10, 5) | ||
return response | ||
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# draw the third picture | ||
def printGrapha(delta_rho, z1, z2, b, beta, axeToDraw, stationSpacing): | ||
maxR = 5 | ||
maxScala = 50 | ||
axeToDraw.set_xlabel("X (m)", fontsize=16) | ||
axeToDraw.set_ylabel("Y (m)", fontsize=16) | ||
Step = pow(stationSpacing, 0.5) | ||
scalax, scalay, color = graphaDataGenerator( | ||
delta_rho, z1, z2, b, beta, maxR, maxScala, Step | ||
) | ||
dat0 = axeToDraw.scatter( | ||
scalax, scalay, c=color, cmap="plasma", marker="s", s=450 * pow(Step, 0.5) | ||
) | ||
axeToDraw.set_title(r"$\Delta g_z$" + "(mGal)", fontsize=16) | ||
plt.colorbar(dat0, ax=axeToDraw) | ||
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# get the data of the third picture | ||
def graphaDataGenerator(delta_rho, z1, z2, b, beta, maxR, maxScala, Step): | ||
scalax = [] | ||
scalay = [] | ||
color = [] | ||
for i in np.arange(-maxR, maxR + Step, Step): | ||
g = calculategravity(delta_rho, z1, z2, b, beta, i) | ||
for j in np.arange(-maxR, maxR + Step, Step): | ||
scalax.append(i) | ||
scalay.append(j) | ||
color.append(g) | ||
return scalax, scalay, color | ||
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# draw the widgets | ||
def interact_gravity_Dike(): | ||
s1 = FloatSlider( | ||
description=r"$\Delta\rho$", | ||
min=-5.0, | ||
max=5.0, | ||
step=0.1, | ||
value=1.0, | ||
continuous_update=False, | ||
) | ||
s2 = FloatSlider( | ||
description=r"$z_1$", | ||
min=0.1, | ||
max=4.0, | ||
step=0.1, | ||
value=1 / 3, | ||
continuous_update=False, | ||
) | ||
s3 = FloatSlider( | ||
description=r"$z_2$", | ||
min=0.1, | ||
max=5.0, | ||
step=0.1, | ||
value=4 / 3, | ||
continuous_update=False, | ||
) | ||
s4 = FloatSlider( | ||
description="b", min=0.1, max=5.0, step=0.1, value=1.0, continuous_update=False | ||
) | ||
s5 = FloatSlider( | ||
description=r"$\beta$", | ||
min=-85, | ||
max=85, | ||
step=5, | ||
value=45, | ||
continuous_update=False, | ||
) | ||
s6 = FloatSlider( | ||
description="Step", | ||
min=0.005, | ||
max=0.10, | ||
step=0.005, | ||
value=0.01, | ||
continuous_update=False, | ||
readout_format=".3f", | ||
) | ||
b1 = ToggleButton( | ||
value=True, | ||
description="keep previous plots", | ||
disabled=False, | ||
button_style="", # 'success', 'info', 'warning', 'danger' or '' | ||
tooltip="Click me", | ||
layout=Layout(width="20%"), | ||
) | ||
v1 = VBox([s1, s2, s3]) | ||
v2 = VBox([s4, s5, s6]) | ||
out1 = HBox([v1, v2, b1]) | ||
out = interactive_output( | ||
drawfunction, | ||
{ | ||
"delta_rho": s1, | ||
"z1": s2, | ||
"z2": s3, | ||
"b": s4, | ||
"beta": s5, | ||
"stationSpacing": s6, | ||
"B": b1, | ||
}, | ||
) | ||
return VBox([out1, out]) | ||
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# Print the result of the last data | ||
def printResult(): | ||
global currentResult | ||
print("{0: ^10}{1: ^10}".format("X", "Δgz")) | ||
for i in range(len(currentResult[0])): | ||
print( | ||
"{0: ^10}{1: ^10}".format( | ||
"%.3f" % currentResult[0][i], "%.6f" % currentResult[1][i] | ||
) | ||
) |
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