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# For neural networks
import keras
# For random calculations
import numpy
import gradio
import pandas
# New for geometry creation
import glob
import os
import shutil
import stat
import math
import platform
import scipy.spatial
# Disable eager execution because its bad
from tensorflow.python.framework.ops import disable_eager_execution
disable_eager_execution()
# Big bunch of geometry stuff
import glob
import os
import shutil
import stat
import math
import platform
import scipy.spatial
class Mesh:
def __init__(self):
# Define blank values
self.np = 0
self.nf = 0
self.X = []
self.Y = []
self.Z = []
self.P = []
def combine_meshes(self, ob1, ob2):
# Check for largest mesh
if ob1.nf < ob2.nf:
coin_test = ob1.make_coin()
coin_target = ob2.make_coin()
else:
coin_test = ob2.make_coin()
coin_target = ob1.make_coin()
# Check for duplicate panels
deletion_list = []
for iF in range(numpy.size(coin_test[1, 1, :])):
panel_test = coin_test[:, :, iF]
for iFF in range(numpy.size(coin_target[1, 1, :])):
panel_target = coin_target[:, :, iFF]
if numpy.sum(panel_test == panel_target) == 12:
coin_target = numpy.delete(coin_target, iFF, 2)
deletion_list.append(iF)
coin_test = numpy.delete(coin_test, deletion_list, 2)
# Concatenate unique meshes
coin = numpy.concatenate((coin_test, coin_target), axis=2)
self.np = numpy.size(coin[1, 1, :]) * 4
self.nf = numpy.size(coin[1, 1, :])
self.X = numpy.zeros(numpy.size(coin[1, 1, :]) * 4)
self.Y = numpy.zeros(numpy.size(coin[1, 1, :]) * 4)
self.Z = numpy.zeros(numpy.size(coin[1, 1, :]) * 4)
self.P = numpy.zeros((numpy.size(coin[1, 1, :]), 4), dtype=int)
iP = 0
for iF in range(numpy.size(coin[1, 1, :])):
for iC in range(4):
self.X[iP] = coin[0, iC, iF]
self.Y[iP] = coin[1, iC, iF]
self.Z[iP] = coin[2, iC, iF]
iP += 1
self.P[iF, 0] = 1 + iF * 4
self.P[iF, 1] = 2 + iF * 4
self.P[iF, 2] = 3 + iF * 4
self.P[iF, 3] = 4 + iF * 4
def make_coin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
def delete_horizontal_panels(self):
coin = self.make_coin()
apex = numpy.min(self.Z)
zLoc = numpy.zeros(4)
deletion_list = []
# Check every panel for horizontality and higher position than lowest point
for iP in range(self.nf):
for iC in range(4):
zLoc[iC] = coin[2, iC, iP]
if numpy.abs(numpy.mean(zLoc) - zLoc[0]) < 0.001 and numpy.mean(zLoc) > apex:
deletion_list.append(iP)
# Delete selected panels
coin = numpy.delete(coin, deletion_list, 2)
# Remake mesh
self.np = numpy.size(coin[1, 1, :]) * 4
self.nf = numpy.size(coin[1, 1, :])
self.X = numpy.zeros(numpy.size(coin[1, 1, :]) * 4)
self.Y = numpy.zeros(numpy.size(coin[1, 1, :]) * 4)
self.Z = numpy.zeros(numpy.size(coin[1, 1, :]) * 4)
self.P = numpy.zeros((numpy.size(coin[1, 1, :]), 4), dtype=int)
iP = 0
for iF in range(numpy.size(coin[1, 1, :])):
for iC in range(4):
self.X[iP] = coin[0, iC, iF]
self.Y[iP] = coin[1, iC, iF]
self.Z[iP] = coin[2, iC, iF]
iP += 1
self.P[iF, 0] = 1 + (iF) * 4
self.P[iF, 1] = 2 + (iF) * 4
self.P[iF, 2] = 3 + (iF) * 4
self.P[iF, 3] = 4 + (iF) * 4
def writeMesh(msh, filename):
with open(filename, 'w') as f:
f.write('{:d}\n'.format(msh.np))
f.write('{:d}\n'.format(msh.nf))
for iP in range(msh.np):
f.write(' {:.7f} {:.7f} {:.7f}\n'.format(msh.X[iP], msh.Y[iP], msh.Z[iP]))
for iF in range(msh.nf):
f.write(' {:d} {:d} {:d} {:d}\n'.format(msh.P[iF, 0], msh.P[iF, 1], msh.P[iF, 2], msh.P[iF, 3]))
return None
class box:
def __init__(self, length, width, height, cCor):
self.length = length
self.width = width
self.height = height
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'box'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
self.nf = 6
self.np = 8
self.X = numpy.array(
[-self.length / 2.0, self.length / 2.0, -self.length / 2.0, self.length / 2.0, -self.length / 2.0,
self.length / 2.0, -self.length / 2.0, self.length / 2.0])
self.Y = numpy.array([self.width / 2.0, self.width / 2.0, self.width / 2.0, self.width / 2.0, -self.width / 2.0,
-self.width / 2.0, -self.width / 2.0, -self.width / 2.0])
self.Z = numpy.array(
[-self.height / 2.0, -self.height / 2.0, self.height / 2.0, self.height / 2.0, -self.height / 2.0,
-self.height / 2.0, self.height / 2.0, self.height / 2.0])
self.P = numpy.zeros([6, 4], dtype=int)
self.P[0, :] = numpy.array([3, 4, 2, 1])
self.P[1, :] = numpy.array([4, 8, 6, 2])
self.P[2, :] = numpy.array([8, 7, 5, 6])
self.P[3, :] = numpy.array([7, 3, 1, 5])
self.P[4, :] = numpy.array([2, 6, 5, 1])
self.P[5, :] = numpy.array([8, 4, 3, 7])
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class cone:
def __init__(self, diameter, height, cCor):
self.diameter = diameter
self.height = height
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'cone'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
Ntheta = 18
Nz = 3
theta = [xx * 2 * numpy.pi / (Ntheta - 1) for xx in range(Ntheta)]
self.nf = 0
self.np = 0
r = [0, self.diameter / 2.0, 0]
z = [0, 0, -self.height]
self.X = []
self.Y = []
self.Z = []
self.P = numpy.zeros([(len(r) - 1) * (Ntheta - 1), 4], dtype=int)
n = len(r)
for iT in range(Ntheta):
for iN in range(n):
self.X.append(r[iN] * numpy.cos(theta[iT]))
self.Y.append(r[iN] * numpy.sin(theta[iT]))
self.Z.append(z[iN])
self.np += 1
iP = 0
for iN in range(1, n):
for iT in range(1, Ntheta):
self.P[iP, 0] = iN + n * (iT - 1)
self.P[iP, 1] = iN + 1 + n * (iT - 1)
self.P[iP, 2] = iN + 1 + n * iT
self.P[iP, 3] = iN + n * iT
self.nf += 1
iP += 1
self.X = numpy.array(self.X)
self.Y = numpy.array(self.Y)
self.Z = numpy.array(self.Z)
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class cylinder:
def __init__(self, diameter, height, cCor):
self.diameter = diameter
self.height = height
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'cylinder'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
Ntheta = 18
Nz = 3
theta = [xx * 2 * numpy.pi / (Ntheta - 1) for xx in range(Ntheta)]
self.nf = 0
self.np = 0
r = [0, self.diameter / 2.0, self.diameter / 2.0, 0]
z = [0, 0, -self.height, -self.height]
self.X = []
self.Y = []
self.Z = []
self.P = numpy.zeros([(len(r) - 1) * (Ntheta - 1), 4], dtype=int)
n = len(r)
for iT in range(Ntheta):
for iN in range(n):
self.X.append(r[iN] * numpy.cos(theta[iT]))
self.Y.append(r[iN] * numpy.sin(theta[iT]))
self.Z.append(z[iN])
self.np += 1
iP = 0
for iN in range(1, n):
for iT in range(1, Ntheta):
self.P[iP, 0] = iN + n * (iT - 1)
self.P[iP, 1] = iN + 1 + n * (iT - 1)
self.P[iP, 2] = iN + 1 + n * iT
self.P[iP, 3] = iN + n * iT
self.nf += 1
iP += 1
self.X = numpy.array(self.X)
self.Y = numpy.array(self.Y)
self.Z = numpy.array(self.Z)
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class hemicylinder:
def __init__(self, diameter, height, cCor):
self.diameter = diameter
self.height = height
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'hemicylinder'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
Ntheta = 18
Nz = 3
theta = [xx * numpy.pi / (Ntheta - 1) - numpy.pi / 2.0 for xx in range(Ntheta)]
self.nf = 0
self.np = 0
r = [0, self.diameter / 2.0, self.diameter / 2.0, 0]
z = [self.height / 2.0, self.height / 2.0, -self.height / 2.0, -self.height / 2.0]
self.X = []
self.Y = []
self.Z = []
self.P = numpy.zeros([(len(r) - 1) * (Ntheta - 1), 4], dtype=int)
n = len(r)
for iT in range(Ntheta):
for iN in range(n):
self.Z.append(-r[iN] * numpy.cos(theta[iT]))
self.X.append(r[iN] * numpy.sin(theta[iT]))
self.Y.append(z[iN])
self.np += 1
iP = 0
for iN in range(1, n):
for iT in range(1, Ntheta):
self.P[iP, 3] = iN + n * (iT - 1)
self.P[iP, 2] = iN + 1 + n * (iT - 1)
self.P[iP, 1] = iN + 1 + n * iT
self.P[iP, 0] = iN + n * iT
self.nf += 1
iP += 1
self.X = numpy.array(self.X)
self.Y = numpy.array(self.Y)
self.Z = numpy.array(self.Z)
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class sphere:
def __init__(self, diameter, cCor):
self.diameter = diameter
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'sphere'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
Ntheta = 18
Nthetad2 = int(Ntheta / 2)
Nz = 3
theta = [xx * 2 * numpy.pi / (Ntheta - 1) for xx in range(Ntheta)]
phi = [xx * numpy.pi / (Ntheta / 2 - 1) for xx in range(Nthetad2)]
self.nf = 0
self.np = 0
r = self.diameter / 2.0
self.X = []
self.Y = []
self.Z = []
self.P = numpy.zeros([(Ntheta - 1) * (Nthetad2 - 1), 4], dtype=int)
for iT in range(Nthetad2):
for iTT in range(Ntheta):
self.X.append(r * numpy.cos(theta[iTT]) * numpy.sin(phi[iT]))
self.Y.append(r * numpy.sin(theta[iTT]) * numpy.sin(phi[iT]))
self.Z.append(r * numpy.cos(phi[iT]))
self.np += 1
iP = 0
for iN in range(1, Ntheta):
for iT in range(1, Nthetad2):
self.P[iP, 3] = iN + Ntheta * (iT - 1)
self.P[iP, 2] = iN + 1 + Ntheta * (iT - 1)
self.P[iP, 1] = iN + 1 + Ntheta * iT
self.P[iP, 0] = iN + Ntheta * iT
self.nf += 1
iP += 1
self.X = numpy.array(self.X)
self.Y = numpy.array(self.Y)
self.Z = numpy.array(self.Z)
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class hemisphere:
def __init__(self, diameter, cCor):
self.diameter = diameter
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'hemisphere'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
Ntheta = 18
theta = [xx * 2 * numpy.pi / (Ntheta - 1) for xx in range(Ntheta)]
phi = [xx * numpy.pi / 2.0 / (Ntheta / 2 - 1) for xx in range(Ntheta / 2)]
self.nf = 0
self.np = 0
r = self.diameter / 2.0
self.X = []
self.Y = []
self.Z = []
self.P = numpy.zeros([(Ntheta - 1) * (Ntheta / 2 - 1), 4], dtype=int)
for iT in range(Ntheta / 2):
for iTT in range(Ntheta):
self.X.append(r * numpy.cos(theta[iTT]) * numpy.sin(phi[iT]))
self.Y.append(r * numpy.sin(theta[iTT]) * numpy.sin(phi[iT]))
self.Z.append(-r * numpy.cos(phi[iT]))
self.np += 1
iP = 0
for iN in range(1, Ntheta):
for iT in range(1, Ntheta / 2):
self.P[iP, 0] = iN + Ntheta * (iT - 1)
self.P[iP, 1] = iN + 1 + Ntheta * (iT - 1)
self.P[iP, 2] = iN + 1 + Ntheta * iT
self.P[iP, 3] = iN + Ntheta * iT
self.nf += 1
iP += 1
self.X = numpy.array(self.X)
self.Y = numpy.array(self.Y)
self.Z = numpy.array(self.Z)
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class pyramid:
def __init__(self, length, width, height, cCor):
self.length = length
self.width = width
self.height = height
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'pyramid'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
self.nf = 6
self.np = 8
self.X = numpy.array(
[0.0, 0.0, -self.length / 2.0, self.length / 2.0, 0.0, 0.0, -self.length / 2.0, self.length / 2.0])
self.Y = numpy.array(
[0.0, 0.0, self.width / 2.0, self.width / 2.0, 0.0, 0.0, -self.width / 2.0, -self.width / 2.0])
self.Z = numpy.array([-self.height, -self.height, 0.0, 0.0, -self.height, -self.height, 0.0, 0.0])
self.P = numpy.zeros([6, 4], dtype=int)
self.P[0, :] = numpy.array([3, 4, 2, 1])
self.P[1, :] = numpy.array([4, 8, 6, 2])
self.P[2, :] = numpy.array([8, 7, 5, 6])
self.P[3, :] = numpy.array([7, 3, 1, 5])
self.P[4, :] = numpy.array([5, 6, 5, 1])
self.P[5, :] = numpy.array([8, 4, 3, 7])
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class wedge:
def __init__(self, length, width, height, cCor):
self.length = length
self.width = width
self.height = height
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'wedge'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
self.nf = 6
self.np = 8
self.X = numpy.array(
[0.0, 0.0, -self.length / 2.0, self.length / 2.0, 0.0, 0.0, -self.length / 2.0, self.length / 2.0])
self.Y = numpy.array([self.width / 2.0, self.width / 2.0, self.width / 2.0, self.width / 2.0, -self.width / 2.0,
-self.width / 2.0, -self.width / 2.0, -self.width / 2.0])
self.Z = numpy.array([-self.height, -self.height, 0.0, 0.0, -self.height, -self.height, 0.0, 0.0])
self.P = numpy.zeros([6, 4], dtype=int)
self.P[0, :] = numpy.array([3, 4, 2, 1])
self.P[1, :] = numpy.array([4, 8, 6, 2])
self.P[2, :] = numpy.array([8, 7, 5, 6])
self.P[3, :] = numpy.array([7, 3, 1, 5])
self.P[4, :] = numpy.array([2, 6, 5, 1])
self.P[5, :] = numpy.array([8, 4, 3, 7])
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
class torus:
def __init__(self, diamOut, diamIn, cCor):
self.diamOut = diamOut
self.diamIn = diamIn
self.xC = cCor[0]
self.yC = cCor[1]
self.zC = cCor[2]
self.name = 'torus'
self.panelize()
self.translate(self.xC, self.yC, self.zC)
def panelize(self):
Ntheta = 18
Nphi = 18
theta = [xx * 2 * numpy.pi / (Ntheta - 1) for xx in range(Ntheta)]
phi = [xx * 2 * numpy.pi / (Nphi - 1) for xx in range(Nphi)]
self.nf = 0
self.np = 0
self.X = []
self.Y = []
self.Z = []
R = self.diamOut / 2.0
r = self.diamIn / 2.0
for iT in range(Ntheta):
for iP in range(Nphi):
self.X.append((R + r * numpy.cos(theta[iT])) * numpy.cos(phi[iP]))
self.Y.append((R + r * numpy.cos(theta[iT])) * numpy.sin(phi[iP]))
self.Z.append(r * numpy.sin(theta[iT]))
self.np += 1
self.nf = (Ntheta - 1) * (Nphi - 1)
self.P = numpy.zeros([self.nf, 4], dtype=int)
iPan = 0
for iT in range(Ntheta - 1):
for iP in range(Nphi - 1):
self.P[iPan, 0] = iP + iT * Nphi + 1
self.P[iPan, 1] = iP + 1 + iT * Nphi + 1
self.P[iPan, 2] = iP + 1 + Ntheta + iT * Nphi + 1
self.P[iPan, 3] = iP + Ntheta + iT * Nphi + 1
iPan += 1
self.X = numpy.array(self.X)
self.Y = numpy.array(self.Y)
self.Z = numpy.array(self.Z)
# Define triangles for plotting
self.trii = numpy.zeros([2 * self.nf, 3], dtype=int)
iT = 0
for iTr in range(self.nf):
self.trii[iT, :] = [self.P[iTr, 0] - 1, self.P[iTr, 1] - 1, self.P[iTr, 2] - 1]
self.trii[iT + 1, :] = [self.P[iTr, 0] - 1, self.P[iTr, 2] - 1, self.P[iTr, 3] - 1]
iT += 2
def translate(self, xT, yT, zT):
self.X += xT
self.Y += yT
self.Z += zT
def rotate(self, a1, a2, theta):
R = numpy.zeros([3, 3])
# Normal vector through origin
u = a2[0] - a1[0]
v = a2[1] - a1[1]
w = a2[2] - a1[2]
u = u / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
v = v / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
w = w / numpy.sqrt(u ** 2 + v ** 2 + w ** 2)
# Translate mesh so that rotation axis starts from the origin
self.X -= a1[0]
self.Y -= a1[1]
self.Z -= a1[2]
# Rotation matrix
R[0, 0] = u ** 2 + numpy.cos(theta) * (1 - u ** 2)
R[0, 1] = u * v * (1 - numpy.cos(theta)) - w * numpy.sin(theta)
R[0, 2] = u * w * (1 - numpy.cos(theta)) + v * numpy.sin(theta)
R[1, 0] = u * v * (1 - numpy.cos(theta)) + w * numpy.sin(theta)
R[1, 1] = v ** 2 + numpy.cos(theta) * (1 - v ** 2)
R[1, 2] = v * w * (1 - numpy.cos(theta)) - u * numpy.sin(theta)
R[2, 0] = w * u * (1 - numpy.cos(theta)) - v * numpy.sin(theta)
R[2, 1] = w * v * (1 - numpy.cos(theta)) + u * numpy.sin(theta)
R[2, 2] = w ** 2 + numpy.cos(theta) * (1 - w ** 2)
for iP in range(self.np):
p1 = numpy.array([self.X[iP], self.Y[iP], self.Z[iP]])
p2 = numpy.dot(R, p1)
self.X[iP] = p2[0]
self.Y[iP] = p2[1]
self.Z[iP] = p2[2]
# Translate back to original position
self.X += a1[0]
self.Y += a1[1]
self.Z += a1[2]
def makeCoin(self):
coin = numpy.zeros((3, 4, self.nf))
for iF in range(self.nf):
for iC in range(4):
coin[0, iC, iF] = self.X[self.P[iF, iC] - 1]
coin[1, iC, iF] = self.Y[self.P[iF, iC] - 1]
coin[2, iC, iF] = self.Z[self.P[iF, iC] - 1]
return coin
def make_voxels_without_figure(shape, length, height, width, diameter):
pos = [0, 0, 0]
if shape == "box":
mesh = box(length, width, height, pos)
elif shape == "cone":
mesh = cone(diameter, height, pos)
elif shape == "cylinder":
mesh = cylinder(diameter, height, pos)
elif shape == "sphere":
mesh = sphere(diameter, pos)
elif shape == "wedge":
mesh = wedge(length, width, height, pos)
hull_points = numpy.array([mesh.X.tolist(), mesh.Y.tolist(), mesh.Z.tolist()]).T
# Set up test points
G = 32
ex = 5 - 5 / G
x, y, z = numpy.meshgrid(numpy.linspace(-ex, ex, G),
numpy.linspace(-ex, ex, G),
numpy.linspace(-(9.5 - 5 / G), 0.5 - 5 / G, G))
test_points = numpy.vstack((x.ravel(), y.ravel(), z.ravel())).T
hull = scipy.spatial.Delaunay(hull_points)
within = hull.find_simplex(test_points) >= 0
return within*1.0
def make_voxels(shape, length, height, width, diameter):
return plotly_fig(make_voxels_without_figure(shape, length, height, width, diameter))
# This function loads a fuckton of data
def load_data():
# Open all the files we downloaded at the beginning and take out hte good bits
curves = numpy.load('data_curves.npz')['curves']
geometry = numpy.load('data_geometry.npz')['geometry']
constants = numpy.load('constants.npz')
S = constants['S']
N = constants['N']
D = constants['D']
F = constants['F']
G = constants['G']
# Some of the good bits need additional processining
new_curves = numpy.zeros((S*N, D * F))
for i, curveset in enumerate(curves):
new_curves[i, :] = curveset.T.flatten() / 1000000
new_geometry = numpy.zeros((S*N, G * G * G))
for i, geometryset in enumerate(geometry):
new_geometry[i, :] = geometryset.T.flatten()
# Return good bits to user
return curves, geometry, S, N, D, F, G, new_curves, new_geometry
curves, geometry, S, N, D, F, G, new_curves, new_geometry = load_data()
class Network(object):
def __init__(self, structure, weights):
# Instantiate variables
self.curves = curves
self.new_curves = new_curves
self.geometry = geometry
self.new_geometry = new_geometry
self.S = S
self.N = N
self.D = D
self.F = F
self.G = G
# Load network
with open(structure, 'r') as file:
self.network = keras.models.model_from_json(file.read())
self.network.load_weights(weights)
def analysis(self, idx=None):
print(idx)
if idx is None:
idx = numpy.random.randint(1, self.S * self.N)
else:
idx = int(idx)
# Get the input
data_input = self.new_geometry[idx:(idx+1), :]
other_data_input = data_input.reshape((self.G, self.G, self.G), order='F')
# Get the outputs
print(data_input.shape)
predicted_output = self.network.predict(data_input)
true_output = self.new_curves[idx].reshape((3, self.F))
predicted_output = predicted_output.reshape((3, self.F))
f = numpy.linspace(0.05, 2.0, 64)
fd = pandas.DataFrame(f).rename(columns={0: "Frequency"})
df_pred = pandas.DataFrame(predicted_output.transpose()).rename(columns={0: "Surge", 1: "Heave", 2: "Pitch"})
df_true = pandas.DataFrame(true_output.transpose()).rename(columns={0: "Surge", 1: "Heave", 2: "Pitch"})
# return idx, other_data_input, true_output, predicted_output
return pandas.concat([fd, df_pred], axis=1), pandas.concat([fd, df_true], axis=1)
def analysis_from_geometry(self, geometry):
# Get the outputs
print(geometry.flatten().shape)
predicted_output = self.network.predict(geometry.flatten())
predicted_output = predicted_output.reshape((3, self.F))
f = numpy.linspace(0.05, 2.0, 64)
fd = pandas.DataFrame(f).rename(columns={0: "Frequency"})
df_pred = pandas.DataFrame(predicted_output.transpose()).rename(columns={0: "Surge", 1: "Heave", 2: "Pitch"})
return pandas.concat([fd, df_pred], axis=1), pandas.DataFrame()
def synthesis(self, idx=None):
print(idx)
if idx is None:
idx = numpy.random.randint(1, self.S * self.N)
else:
idx = int(idx)
# Get the input
data_input = self.new_curves[idx:(idx+1), :]
other_data_input = data_input.reshape((3, self.F))
# Get the outputs
predicted_output = self.network.predict(data_input)
true_output = self.new_geometry[idx].reshape((self.G, self.G, self.G), order='F')
predicted_output = predicted_output.reshape((self.G, self.G, self.G), order='F')
# return idx, other_data_input, true_output, predicted_output
return predicted_output, true_output
def synthesis_from_spectrum(self, other_data_input):
# Get the input
data_input = other_data_input.reshape((1, 3*self.F))
# Get the outputs
predicted_output = self.network.predict(data_input)
predicted_output = predicted_output.reshape((self.G, self.G, self.G), order='F')
# return idx, other_data_input, true_output, predicted_output
return predicted_output
def get_geometry(self, idx=None):
if idx is None:
idx = numpy.random.randint(1, self.S * self.N)
else:
idx = int(idx)
idx = int(idx)
# Get the input
data_input = self.new_geometry[idx:(idx+1), :]
other_data_input = data_input.reshape((self.G, self.G, self.G), order='F')
# return idx, other_data_input, true_output, predicted_output
return other_data_input
def get_performance(self, idx=None):
if idx is None:
idx = numpy.random.randint(1, self.S * self.N)
else:
idx = int(idx)
idx = int(idx)
# Get the input
data_input = self.new_curves[idx:(idx+1), :]
other_data_input = data_input.reshape((3, self.F))
f = numpy.linspace(0.05, 2.0, 64)
fd = pandas.DataFrame(f).rename(columns={0: "Frequency"})
df_pred = pandas.DataFrame(other_data_input.transpose()).rename(columns={0: "Surge", 1: "Heave", 2: "Pitch"})
table = pandas.concat([fd, df_pred], axis=1)
return table
import plotly.graph_objects as go
def plotly_fig(values):
X, Y, Z = numpy.mgrid[0:1:32j, 0:1:32j, 0:1:32j]
fig = go.Figure(data=go.Volume(
x=X.flatten(),
y=Y.flatten(),
z=Z.flatten(),
value=values.flatten(),
isomin=-0.1,
isomax=0.8,
opacity=0.1, # needs to be small to see through all surfaces
surface_count=21, # needs to be a large number for good volume rendering
colorscale='haline'
))
return fig
value_net = Network("16forward_structure.json", "16forward_weights.h5")
def performance(index):
return value_net.get_performance(index)
def geometry(index):
values = value_net.get_geometry(index)
return plotly_fig(values)
def simple_analysis(index, choice, shape, length, width, height, diameter):
forward_net = Network("16forward_structure.json", "16forward_weights.h5")
if choice == "Construct Shape from Parameters":
return forward_net.analysis_from_geometry(make_voxels_without_figure(shape, length, height, width, diameter))
elif choice == "Pick Shape from Dataset":
return forward_net.analysis(index)
def simple_synthesis(index):
inverse_net = Network("16inverse_structure.json", "16inverse_weights.h5")
pred, true = inverse_net.synthesis(index)
return plotly_fig(pred), plotly_fig(true)
def synthesis_from_spectrum(df):
inverse_net = Network("16inverse_structure.json", "16inverse_weights.h5")
pred = inverse_net.synthesis_from_spectrum(df.to_numpy()[:, 1:])
return plotly_fig(pred)
def change_textbox(choice, length, height, width, diameter):
fig = make_voxels(choice, length, height, width, diameter)
if choice == "cylinder":
return [gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Plot.update(fig)]
elif choice == "sphere":
return [gradio.Slider.update(visible=False), gradio.Slider.update(visible=False), gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Plot.update(fig)]
elif choice == "box":
return [gradio.Slider.update(visible=True), gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Slider.update(visible=True), gradio.Plot.update(fig)]
elif choice == "wedge":
return [gradio.Slider.update(visible=True), gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Slider.update(visible=True), gradio.Plot.update(fig)]
elif choice == "cone":
return [gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Slider.update(visible=True), gradio.Slider.update(visible=False), gradio.Plot.update(fig)]
import random
def randomize_analysis(choice):
if choice == "Construct Shape from Parameters":
length = random.uniform(3.0, 10.0)
height = random.uniform(3.0, 10.0)
width = random.uniform(3.0, 10.0)
diameter = random.uniform(3.0, 10.0)
choice2 = random.choice(["box", "cone", "sphere", "pyramid", "cone"])
return [gradio.Radio.update(choice2), gradio.Slider.update(length), gradio.Slider.update(width), gradio.Slider.update(height), gradio.Slider.update(diameter), gradio.Number.update(), gradio.Plot.update(make_voxels(choice2, length, height, width, diameter))]
elif choice == "Pick Shape from Dataset":
num = random.randint(1, 4999)
return [gradio.Radio.update(), gradio.Slider.update(), gradio.Slider.update(), gradio.Slider.update(), gradio.Slider.update(), gradio.Number.update(num), gradio.Plot.update(geometry(num))]
def geometry_change(choice, choice2, num, length, width, height, diameter):
if choice == "Construct Shape from Parameters":
return [gradio.Radio.update(visible=True), gradio.Slider.update(visible=True), gradio.Slider.update(visible=True), gradio.Slider.update(visible=True), gradio.Slider.update(visible=True), gradio.Number.update(visible=False), gradio.Timeseries.update(visible=False), gradio.Plot.update(make_voxels(choice2, length, height, width, diameter))]
elif choice == "Pick Shape from Dataset":
return [gradio.Radio.update(visible=False), gradio.Slider.update(visible=False), gradio.Slider.update(visible=False), gradio.Slider.update(visible=False), gradio.Slider.update(visible=False), gradio.Number.update(visible=True), gradio.Timeseries.update(visible=True), gradio.Plot.update(geometry(num))]
with gradio.Blocks() as demo:
with gradio.Accordion("✨ Read about the underlying ML model here! ✨", open=False):
with gradio.Row():
with gradio.Column():
gradio.Markdown("# Toward the Rapid Design of Engineered Systems Through Deep Neural Networks")
gradio.HTML("Christopher McComb, Carnegie Mellon University")
gradio.Markdown("Additive manufacturing is advantageous for producing lightweight components while maintaining function and form. This ability has been bolstered by the introduction of unit lattice cells and the gradation of those cells. In cases where loading varies throughout a part, it may be necessary to use multiple lattice cell types, also known as multi-lattice structures. In such structures, abrupt transitions between geometries may cause stress concentrations, making the boundary a primary failure point; thus, transition regions should be created between each lattice cell type. Although computational approaches have been proposed, smooth transition regions are still difficult to intuit and design, especially between lattices of drastically different geometries. This work demonstrates and assesses a method for using variational autoencoders to automate the creation of transitional lattice cells. In particular, the work focuses on identifying the relationships that exist within the latent space produced by the variational autoencoder. Through computational experimentation, it was found that the smoothness of transition regions was higher when the endpoints were located closer together in the latent space.")
with gradio.Column():
download = gradio.HTML("<a href=\"https://huggingface.co/spaces/cmudrc/wecnet/resolve/main/McComb2019_Chapter_TowardTheRapidDesignOfEngineer.pdf\" style=\"width: 60%; display: block; margin: auto;\"><img src=\"https://huggingface.co/spaces/cmudrc/wecnet/resolve/main/coverpage.png\"></a>")
with gradio.Tab("Analysis"):
with gradio.Row():
with gradio.Column():
whence_commeth_geometry = gradio.Radio(
["Construct Shape from Parameters", "Pick Shape from Dataset"], label="How would you like to generate the shape of the offshore structure for analysis?", value="Construct Shape from Parameters"
)
radio = gradio.Radio(
["box", "cone", "cylinder", "sphere", "wedge"], label="What kind of shape would you like to generate?", value="sphere"
)
height = gradio.Slider(label="Height", interactive=True, minimum=3.0, maximum=10.0, value=6.5, visible=False)
width = gradio.Slider(label="Width", interactive=True, minimum=3.0, maximum=10.0, value=6.5, visible=False)
diameter = gradio.Slider(label="Diameter", interactive=True, minimum=3.0, maximum=10.0, value=6.5, visible=True)
length = gradio.Slider(label="Length", interactive=True, minimum=3.0, maximum=10.0, value=6.5, visible=False)
num = gradio.Number(42, label="Type the index of the shape you would like to use or randomly select it.", visible=False)
btn1 = gradio.Button("Randomize")
with gradio.Column():
geo = gradio.Plot(make_voxels("sphere", 6.5, 6.5, 6.5, 6.5), label="Geometry")
with gradio.Row():
btn2 = gradio.Button("Estimate Spectrum")
with gradio.Row():
with gradio.Column():
pred = gradio.Timeseries(x="Frequency", y=['Surge', 'Heave', 'Pitch'], label="Predicted")
with gradio.Column():
true = gradio.Timeseries(x="Frequency", y=['Surge', 'Heave', 'Pitch'], label="True")
radio.change(fn=change_textbox, inputs=[radio, length, height, width, diameter], outputs=[height, width, diameter, length, geo])
height.change(fn=make_voxels, inputs = [radio, length, height, width, diameter], outputs=[geo])
width.change(fn=make_voxels, inputs = [radio, length, height, width, diameter], outputs=[geo])
diameter.change(fn=make_voxels, inputs = [radio, length, height, width, diameter], outputs=[geo])
length.change(fn=make_voxels, inputs = [radio, length, height, width, diameter], outputs=[geo])
whence_commeth_geometry.change(fn=geometry_change, inputs=[whence_commeth_geometry, radio, num, length, width, height, diameter], outputs=[radio, height, width, diameter, length, num, true, geo])
num.change(fn=geometry, inputs=[num], outputs=[geo])
btn1.click(fn=randomize_analysis, inputs=[whence_commeth_geometry], outputs=[radio, length, height, width, diameter, num, geo])
btn2.click(fn=simple_analysis, inputs=[num, whence_commeth_geometry, radio, length, width, height, diameter], outputs=[pred, true])
with gradio.Tab("Synthesis"):
with gradio.Tab("Spectrum from Dataset"):
with gradio.Row():
with gradio.Column():
num = gradio.Number(42, label="data index")
btn1 = gradio.Button("Select")
with gradio.Column():
perf = gradio.Timeseries(x="Frequency", y=['Surge', 'Heave', 'Pitch'], label="Performance")
with gradio.Row():
btn2 = gradio.Button("Synthesize Geometry")
with gradio.Row():
with gradio.Column():
pred = gradio.Plot(label="Predicted")
with gradio.Column():
true = gradio.Plot(label="True")
btn1.click(fn=performance, inputs=[num], outputs=[perf])
btn2.click(fn=simple_synthesis, inputs=[num], outputs=[pred, true])
with gradio.Tab("Spectrum from DataFrame"):
with gradio.Row():
perf = gradio.Timeseries(x="Frequency", y=['Surge', 'Heave', 'Pitch'], label="Performance")
with gradio.Row():
btn2 = gradio.Button("Synthesize Geometry")
with gradio.Row():
pred = gradio.Plot(label="Predicted")
btn2.click(fn=synthesis_from_spectrum, inputs=[perf], outputs=[pred])
demo.launch()