From db4e651933295a90cceacc36137cef24c889f1f6 Mon Sep 17 00:00:00 2001
From: Klaus <klaus.boehnlein@tu-dresden.de>
Date: Wed, 29 Jun 2022 20:43:28 +0200
Subject: [PATCH] Cleanup
---
.../ParaViewSettings.txt | 0
.../1-ParameterFamily-Minimizers.py | 0
.../1-ParameterFamily-MinimizersTest.py | 0
.../1-ParameterFamily-Minimizers_Test.py | 1197 ++++++++++++
.../1-ParameterFamily-Minimizers_v2.py | 0
.../1-ParameterFamily-Minimizers_v3.py | 2 +-
.../1-ParameterFamily_G+.py | 0
.../1-ParameterFamily_G+_Flat.py | 0
.../1-ParameterFamily_G+_Flat_v2.py | 0
.../1-ParameterFamily_G+_v2.py | 0
.../1-ParameterFamily_G+_v3.py | 0
.../1-ParameterFamily_G+_v4.py | 0
.../1-ParameterFamily_G+_v5.py | 0
.../2DPhaseDiagram_PlotScript.py | 0
.../2DPhaseDiagram_PlotScriptV2.py | 0
.../2DPhaseDiagram_Ratios_PlotScript.py | 0
{src => Python-Scripts}/CellScript.py | 0
{src => Python-Scripts}/ClassifyMin.py | 0
{src => Python-Scripts}/ClassifyMinVec.py | 0
{src => Python-Scripts}/ClassifyMin_New.py | 0
.../CylindricalMinimizer-Plot.py | 18 +-
.../CylindricalMinimizer-Plot_newColors.py | 828 ++++++++
.../CylindricalMinimizer-Plot_v2.py | 4 +-
{src => Python-Scripts}/Energy_ContourG+.py | 0
.../Energy_ContourG+_plotly.py | 0
.../Energy_ContourG+_v2.py | 0
.../Energy_ContourG+_v3.py | 0
.../Energy_ContourG+_v3_plotSurf.py | 0
.../Energy_ContourG+_v4.py | 18 +-
{src => Python-Scripts}/HelperFunctions.py | 0
{src => Python-Scripts}/PhaseDiagram.py | 10 +-
.../PhaseDiagram_Contour.py | 0
.../PhaseDiagram_ContourSubPlots.py | 0
.../PhaseDiagram_ContourSubPlots_v2.py | 0
.../PhaseDiagram_Contour_v2.py | 0
.../PhaseDiagram_CurvContourSubPlots.py | 0
.../PhaseDiagram_CurvContourSubPlots_Jumps.py | 0
.../PhaseDiagram_CurvContourSubPlots_v2.py | 0
.../PhaseDiagram_CurvContourSubPlots_v3.py | 0
.../PhaseDiagram_PlotScript.py | 0
.../PhaseDiagram_PlotScriptV2.py | 0
.../PhaseDiagram_PlotScriptV3.py | 0
.../PhaseDiagram_PlotScriptV4.py | 0
.../PhaseDiagram_PlotScriptV4_shifted.py | 0
.../PhaseDiagram_PlotScript_BetaSmallerOne.py | 0
...ram_PlotScript_Gamma0_Curvature_shifted.py | 903 +++++++++
.../PhaseDiagram_PlotScript_Gamma0_shifted.py | 663 +++++++
...m_PlotScript_GammaInf_Curvature_shifted.py | 1698 +++++++++++++++++
...haseDiagram_PlotScript_GammaInf_shifted.py | 694 +++++++
...haseDiagram_PlotScript_ReverseDirection.py | 0
{src => Python-Scripts}/PhaseDiagram_Test.py | 0
.../PhaseDiagram_backup.py | 0
.../PhaseDiagram_intermediateGamma.py | 0
.../Plot-1-ParameterFamily.py | 0
.../Plot-Angle-Alpha_intermediateGamma.py | 0
.../Plot-Angle-Alpha_intermediateGamma_v2.py | 0
{src => Python-Scripts}/Plot-Angle-Gamma.py | 0
{src => Python-Scripts}/Plot-Angle-GammaV2.py | 0
.../Plot-Angle-GammaV2_SubPlots.py | 0
{src => Python-Scripts}/Plot-Angle-q3.py | 0
...leCurv-Alpha_intermediateGamma_SubPlots.py | 6 +-
.../Plot-AngleCurvature-GammaV2_SubPlots.py | 0
.../Plot-Curvature-Alpha_intermediateGamma.py | 0
.../Plot-Curvature-Gamma.py | 0
.../Plot-Curvature-GammaV2.py | 0
.../Plot-Curvature-GammaV2_SubPlots.py | 0
{src => Python-Scripts}/Plot-Curvature-q3.py | 0
{src => Python-Scripts}/Plot-Energy_Axial.py | 0
{src => Python-Scripts}/Plot_Angle_Alpha.py | 5 +-
.../Plot_Angle_Lemma1.4-Backup.py | 0
.../Plot_Angle_Lemma1.4.py | 0
.../Plot_Angle_Lemma1.4V2.py | 0
.../Plot_Angle_Lemma1.4V3.py | 0
.../Plot_Angle_Lemma1.4V3_Transition.py | 0
.../Plot_Angle_Lemma1.4V3_Transition_Beta2.py | 0
.../Plot_Angle_Lemma1.4_ChangeGamma.py | 0
.../Plot_Angle_Lemma1.4_subPlots.py | 0
{src => Python-Scripts}/Plot_Angle_Theta.py | 0
.../Plot_Angle_Theta_intermediateGamma.py | 0
.../Plot_CurvatureLemma1.4.py | 0
.../Plot_CurvatureLemma1.4_alpha3.0.py | 0
.../Plot_Curvature_Alpha.py | 9 +-
.../Plot_Curvature_Lemma1.4V3.py | 0
.../Plot_Curvature_TransitionArea.py | 0
{src => Python-Scripts}/Plot_Lemma1.4.py | 0
{src => Python-Scripts}/Plot_MinVec.py | 0
{src => Python-Scripts}/Plot_MinVec_v2.py | 0
.../Plot_Prestrain_Lemma1.4.py | 0
.../Plot_Prestrain_Lemma1.4_Betas.py | 0
.../Plot_Prestrain_Lemma1.4_SubPlots.py | 0
{src => Python-Scripts}/Plot_aStar.py | 0
.../Plot_aStar_elliptic.py | 0
.../Plot_aStar_hyperbolic.py | 0
.../Plot_elasticQuantities.py | 0
{src => Python-Scripts}/Plotq12.py | 0
{src => Python-Scripts}/TestAngle.py | 0
{src => Python-Scripts}/makePlot.py | 0
{src => Python-Scripts}/makePlotmuGamma.py | 0
Python-Scripts/mayHavetoBein_src-Folder.txt | 1 +
{src => Python-Scripts}/plot-q3-gamma.py | 0
.../plot_Elastic_and_PrestrainRatio.py | 0
src/Cell-Problem.cc | 20 +-
src/Compute_MuGamma.cc | 8 -
...haseDiagram_PlotScript_GammaInf_shifted.py | 761 --------
104 files changed, 6036 insertions(+), 809 deletions(-)
rename {src => Paraview-Scripts}/ParaViewSettings.txt (100%)
rename {src => Python-Scripts}/1-ParameterFamily-Minimizers.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily-MinimizersTest.py (100%)
create mode 100644 Python-Scripts/1-ParameterFamily-Minimizers_Test.py
rename {src => Python-Scripts}/1-ParameterFamily-Minimizers_v2.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily-Minimizers_v3.py (99%)
rename {src => Python-Scripts}/1-ParameterFamily_G+.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily_G+_Flat.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily_G+_Flat_v2.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily_G+_v2.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily_G+_v3.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily_G+_v4.py (100%)
rename {src => Python-Scripts}/1-ParameterFamily_G+_v5.py (100%)
rename {src => Python-Scripts}/2DPhaseDiagram_PlotScript.py (100%)
rename {src => Python-Scripts}/2DPhaseDiagram_PlotScriptV2.py (100%)
rename {src => Python-Scripts}/2DPhaseDiagram_Ratios_PlotScript.py (100%)
rename {src => Python-Scripts}/CellScript.py (100%)
rename {src => Python-Scripts}/ClassifyMin.py (100%)
rename {src => Python-Scripts}/ClassifyMinVec.py (100%)
rename {src => Python-Scripts}/ClassifyMin_New.py (100%)
rename {src => Python-Scripts}/CylindricalMinimizer-Plot.py (97%)
create mode 100644 Python-Scripts/CylindricalMinimizer-Plot_newColors.py
rename {src => Python-Scripts}/CylindricalMinimizer-Plot_v2.py (99%)
rename {src => Python-Scripts}/Energy_ContourG+.py (100%)
rename {src => Python-Scripts}/Energy_ContourG+_plotly.py (100%)
rename {src => Python-Scripts}/Energy_ContourG+_v2.py (100%)
rename {src => Python-Scripts}/Energy_ContourG+_v3.py (100%)
rename {src => Python-Scripts}/Energy_ContourG+_v3_plotSurf.py (100%)
rename {src => Python-Scripts}/Energy_ContourG+_v4.py (98%)
rename {src => Python-Scripts}/HelperFunctions.py (100%)
rename {src => Python-Scripts}/PhaseDiagram.py (98%)
rename {src => Python-Scripts}/PhaseDiagram_Contour.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_ContourSubPlots.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_ContourSubPlots_v2.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_Contour_v2.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_CurvContourSubPlots.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_CurvContourSubPlots_Jumps.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_CurvContourSubPlots_v2.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_CurvContourSubPlots_v3.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_PlotScript.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_PlotScriptV2.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_PlotScriptV3.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_PlotScriptV4.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_PlotScriptV4_shifted.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_PlotScript_BetaSmallerOne.py (100%)
create mode 100644 Python-Scripts/PhaseDiagram_PlotScript_Gamma0_Curvature_shifted.py
create mode 100644 Python-Scripts/PhaseDiagram_PlotScript_Gamma0_shifted.py
create mode 100644 Python-Scripts/PhaseDiagram_PlotScript_GammaInf_Curvature_shifted.py
create mode 100644 Python-Scripts/PhaseDiagram_PlotScript_GammaInf_shifted.py
rename {src => Python-Scripts}/PhaseDiagram_PlotScript_ReverseDirection.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_Test.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_backup.py (100%)
rename {src => Python-Scripts}/PhaseDiagram_intermediateGamma.py (100%)
rename {src => Python-Scripts}/Plot-1-ParameterFamily.py (100%)
rename {src => Python-Scripts}/Plot-Angle-Alpha_intermediateGamma.py (100%)
rename {src => Python-Scripts}/Plot-Angle-Alpha_intermediateGamma_v2.py (100%)
rename {src => Python-Scripts}/Plot-Angle-Gamma.py (100%)
rename {src => Python-Scripts}/Plot-Angle-GammaV2.py (100%)
rename {src => Python-Scripts}/Plot-Angle-GammaV2_SubPlots.py (100%)
rename {src => Python-Scripts}/Plot-Angle-q3.py (100%)
rename {src => Python-Scripts}/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py (99%)
rename {src => Python-Scripts}/Plot-AngleCurvature-GammaV2_SubPlots.py (100%)
rename {src => Python-Scripts}/Plot-Curvature-Alpha_intermediateGamma.py (100%)
rename {src => Python-Scripts}/Plot-Curvature-Gamma.py (100%)
rename {src => Python-Scripts}/Plot-Curvature-GammaV2.py (100%)
rename {src => Python-Scripts}/Plot-Curvature-GammaV2_SubPlots.py (100%)
rename {src => Python-Scripts}/Plot-Curvature-q3.py (100%)
rename {src => Python-Scripts}/Plot-Energy_Axial.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Alpha.py (99%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4-Backup.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4V2.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4V3.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4V3_Transition.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4V3_Transition_Beta2.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4_ChangeGamma.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Lemma1.4_subPlots.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Theta.py (100%)
rename {src => Python-Scripts}/Plot_Angle_Theta_intermediateGamma.py (100%)
rename {src => Python-Scripts}/Plot_CurvatureLemma1.4.py (100%)
rename {src => Python-Scripts}/Plot_CurvatureLemma1.4_alpha3.0.py (100%)
rename {src => Python-Scripts}/Plot_Curvature_Alpha.py (98%)
rename {src => Python-Scripts}/Plot_Curvature_Lemma1.4V3.py (100%)
rename {src => Python-Scripts}/Plot_Curvature_TransitionArea.py (100%)
rename {src => Python-Scripts}/Plot_Lemma1.4.py (100%)
rename {src => Python-Scripts}/Plot_MinVec.py (100%)
rename {src => Python-Scripts}/Plot_MinVec_v2.py (100%)
rename {src => Python-Scripts}/Plot_Prestrain_Lemma1.4.py (100%)
rename {src => Python-Scripts}/Plot_Prestrain_Lemma1.4_Betas.py (100%)
rename {src => Python-Scripts}/Plot_Prestrain_Lemma1.4_SubPlots.py (100%)
rename {src => Python-Scripts}/Plot_aStar.py (100%)
rename {src => Python-Scripts}/Plot_aStar_elliptic.py (100%)
rename {src => Python-Scripts}/Plot_aStar_hyperbolic.py (100%)
rename {src => Python-Scripts}/Plot_elasticQuantities.py (100%)
rename {src => Python-Scripts}/Plotq12.py (100%)
rename {src => Python-Scripts}/TestAngle.py (100%)
rename {src => Python-Scripts}/makePlot.py (100%)
rename {src => Python-Scripts}/makePlotmuGamma.py (100%)
create mode 100644 Python-Scripts/mayHavetoBein_src-Folder.txt
rename {src => Python-Scripts}/plot-q3-gamma.py (100%)
rename {src => Python-Scripts}/plot_Elastic_and_PrestrainRatio.py (100%)
delete mode 100644 src/PhaseDiagram_PlotScript_GammaInf_shifted.py
diff --git a/src/ParaViewSettings.txt b/Paraview-Scripts/ParaViewSettings.txt
similarity index 100%
rename from src/ParaViewSettings.txt
rename to Paraview-Scripts/ParaViewSettings.txt
diff --git a/src/1-ParameterFamily-Minimizers.py b/Python-Scripts/1-ParameterFamily-Minimizers.py
similarity index 100%
rename from src/1-ParameterFamily-Minimizers.py
rename to Python-Scripts/1-ParameterFamily-Minimizers.py
diff --git a/src/1-ParameterFamily-MinimizersTest.py b/Python-Scripts/1-ParameterFamily-MinimizersTest.py
similarity index 100%
rename from src/1-ParameterFamily-MinimizersTest.py
rename to Python-Scripts/1-ParameterFamily-MinimizersTest.py
diff --git a/Python-Scripts/1-ParameterFamily-Minimizers_Test.py b/Python-Scripts/1-ParameterFamily-Minimizers_Test.py
new file mode 100644
index 00000000..9bfc24c8
--- /dev/null
+++ b/Python-Scripts/1-ParameterFamily-Minimizers_Test.py
@@ -0,0 +1,1197 @@
+import numpy as np
+import matplotlib.pyplot as plt
+import sympy as sym
+import math
+import os
+import subprocess
+import fileinput
+import re
+import matlab.engine
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+from mpl_toolkits.mplot3d import Axes3D
+import pandas as pd
+import matplotlib.colors as mcolors
+from matplotlib import cm
+
+from mpl_toolkits.mplot3d.proj3d import proj_transform
+# from mpl_toolkits.mplot3d.axes3d import Axes3D
+from matplotlib.text import Annotation
+from matplotlib.patches import FancyArrowPatch
+
+# Extra packages :
+# from HelperFunctions import *
+# from ClassifyMin import *
+# from subprocess import Popen, PIPE
+#import sys
+
+###################### Documentation #########################
+
+#..... add description here
+
+###########################################################
+
+
+def rot(v,alpha):
+
+#rotate about axis v with degree deg in radians:
+
+
+ tmp = np.array([ [v[0]**2*(1-np.cos(alpha))+np.cos(alpha), v[0]*v[1]*(1-np.cos(alpha))-v[2]*np.sin(alpha), v[0]*v[2]*(1-np.cos(alpha))+ v[1]*np.sin(alpha) ],
+ [v[0]*v[1]*(1-np.cos(alpha))+v[2]*np.sin(alpha), v[1]**2*(1-np.cos(alpha))+np.cos(alpha), v[1]*v[2]*(1-np.cos(alpha))+v[0]*np.sin(alpha) ],
+ [v[2]*v[0]*(1-np.cos(alpha))-v[1]*np.sin(alpha), v[2]*v[1]*(1-np.cos(alpha))+v[0]*np.sin(alpha) , v[2]**2*(1-np.cos(alpha))+np.cos(alpha) ] ])
+
+ return tmp
+
+
+
+def rotate_data(X, R):
+#rotate about axis v with degree deg in radians:
+# X : DataSet
+# R : RotationMatrix
+ print('ROTATE DATA FUNCTION ---------------')
+
+ rot_matrix = R
+ # print('rot_matrix:', rot_matrix)
+ # print('rot_matrix.shape:', rot_matrix.shape)
+ # print('X', X)
+ # print('shape of X[0]', X.shape[0])
+ B = np.dot(rot_matrix, X.reshape(rot_matrix.shape[1],-1))
+ # print('shape of B', B.shape)
+ # print('B',B)
+ # print('B[0,:]', B[0,:])
+ # print('B[0,:].shape', B[0,:].shape)
+ Out = np.array([B[0,:].reshape(X.shape[1],X.shape[2]), B[1,:].reshape(X.shape[1],X.shape[2]), B[2,:].reshape(X.shape[1],X.shape[2])])
+ print('shape of Out', Out.shape)
+
+ return Out
+
+# def rotate_data(X, v,alpha): #(Old Version)
+# #rotate about axis v with degree deg in radians:
+# # X : DataSet
+# print('ROTATE DATA FUNCTION ---------------')
+# # v = np.array([1,0,0])
+# # rotM = rot(v,np.pi/2)
+# # print('rotM:', rotM)
+# rot_matrix = rot(v,alpha)
+# # print('rot_matrix:', rot_matrix)
+# # print('rot_matrix.shape:', rot_matrix.shape)
+#
+# # print('X', X)
+# # print('shape of X[0]', X.shape[0])
+# B = np.dot(rot_matrix, X.reshape(rot_matrix.shape[1],-1))
+#
+# # print('shape of B', B.shape)
+# # print('B',B)
+# # print('B[0,:]', B[0,:])
+# # print('B[0,:].shape', B[0,:].shape)
+# Out = np.array([B[0,:].reshape(X.shape[1],X.shape[2]), B[1,:].reshape(X.shape[1],X.shape[2]), B[2,:].reshape(X.shape[1],X.shape[2])])
+# print('shape of Out', Out.shape)
+#
+# return Out
+
+
+# def translate_data(X, v): ...
+# #rotate about axis v with degree deg in radians:
+# # X : DataSet
+# print('ROTATE DATA FUNCTION ---------------')
+# # v = np.array([1,0,0])
+# # rotM = rot(v,np.pi/2)
+# # print('rotM:', rotM)
+#
+# print('X', X)
+# print('shape of X[0]', X.shape[0])
+#
+# Out = X + v
+# return Out
+
+#
+# def u(x,kappa,e):
+#
+# tmp = (x.dot(e))*kappa
+# # print('tmp for u',tmp)
+# if kappa == 0 :
+# tmp = np.array([0*x[0], x[0]*e[0] + x[1]*e[1], x[1]*e[0] - x[0]*e[1] ])
+# else :
+# tmp = np.array([-(1/kappa)*np.cos(tmp)+(1/kappa), (1/kappa)*np.sin(tmp), -x[0]*e[1]+x[1]*e[0] ])
+# return tmp
+#
+#
+#
+#
+# def grad_u(x,kappa,e):
+#
+# tmp = (x.dot(e))*kappa
+# # print('tmp',tmp)
+#
+# grad_u = np.array([ [np.sin(tmp)*e[0], np.sin(tmp)*e[1]], [np.cos(tmp)*e[0], np.cos(tmp)*e[1]], [-e[1], e[0]] ])
+# # print('produkt', grad_u.dot(e) )
+# mapped_e = grad_u.dot(e)
+# # print('mapped_e:', mapped_e)
+# # print('siize of mapped_e', mapped_e.shape)
+# # mapped_e = mapped_e.transpose()
+# # print('mapped_e:', mapped_e)
+# # print('siize of mapped_e', mapped_e.shape)
+# return mapped_e
+#
+# def compute_normal(x,kappa,e):
+# tmp = (x.dot(e))*kappa
+# partial1_u = np.array([ np.sin(tmp)*e[0] ,np.cos(tmp)*e[0], -e[1] ])
+# partial2_u = np.array([ np.sin(tmp)*e[1], np.cos(tmp)*e[1], e[0] ])
+# normal = np.cross(partial1_u,partial2_u)
+# # print('normal=',normal)
+# return normal
+
+
+
+def u(x,kappa,e):
+
+ tmp = (x.dot(e))*((-1)*kappa)
+ # print('tmp for u',tmp)
+ if kappa == 0 :
+ tmp = np.array([x[0]*e[0] + x[1]*e[1], x[1]*e[0] - x[0]*e[1], 0*x[0] ])
+ else :
+ tmp = np.array([ -(1/kappa)*np.sin(tmp), -x[0]*e[1]+x[1]*e[0], (1/kappa)*np.cos(tmp)-(1/kappa) ])
+ return tmp
+
+
+
+# def grad_u(x,kappa,e):
+#
+# tmp = (x.dot(e))*kappa
+# # print('tmp',tmp)
+#
+# grad_u = np.array([ [np.sin(tmp)*e[0], np.sin(tmp)*e[1]], [np.cos(tmp)*e[0], np.cos(tmp)*e[1]], [-e[1], e[0]] ])
+# # print('produkt', grad_u.dot(e) )
+# mapped_e = grad_u.dot(e)
+# # print('mapped_e:', mapped_e)
+# # print('siize of mapped_e', mapped_e.shape)
+# # mapped_e = mapped_e.transpose()
+# # print('mapped_e:', mapped_e)
+# # print('siize of mapped_e', mapped_e.shape)
+# return mapped_e
+#
+
+
+def grad_u(x,kappa,e):
+
+ tmp = (x.dot(e))*(-1)*kappa
+ # print('tmp',tmp)
+
+ grad_u = np.array([ [np.cos(tmp)*e[0], np.cos(tmp)*e[1]], [-e[1], e[0]], [np.sin(tmp)*e[0], np.sin(tmp)*e[1]] ])
+ # print('produkt', grad_u.dot(e) )
+ mapped_e = grad_u.dot(e)
+ # print('mapped_e:', mapped_e)
+ # print('siize of mapped_e', mapped_e.shape)
+ # mapped_e = mapped_e.transpose()
+ # print('mapped_e:', mapped_e)
+ # print('siize of mapped_e', mapped_e.shape)
+ return mapped_e
+
+
+def compute_normal(x,kappa,e):
+ tmp = (x.dot(e))*(-1)*kappa
+ partial1_u = np.array([ np.cos(tmp)*e[0], -e[1],np.sin(tmp)*e[0] ])
+ partial2_u = np.array([ np.cos(tmp)*e[1], e[0], np.sin(tmp)*e[1] ])
+ normal = np.cross(partial1_u,partial2_u)
+ # print('normal=',normal)
+ return normal
+
+
+
+class Annotation3D(Annotation):
+ def __init__(self, text, xyz, *args, **kwargs):
+ super().__init__(text, xy=(0, 0), *args, **kwargs)
+ self._xyz = xyz
+
+ def draw(self, renderer):
+ x2, y2, z2 = proj_transform(*self._xyz, self.axes.M)
+ self.xy = (x2, y2)
+ super().draw(renderer)
+
+def _annotate3D(ax, text, xyz, *args, **kwargs):
+ '''Add anotation `text` to an `Axes3d` instance.'''
+
+ annotation = Annotation3D(text, xyz, *args, **kwargs)
+ ax.add_artist(annotation)
+
+setattr(Axes3D, 'annotate3D', _annotate3D)
+
+class Arrow3D(FancyArrowPatch):
+
+ def __init__(self, x, y, z, dx, dy, dz, *args, **kwargs):
+ super().__init__((0, 0), (0, 0), *args, **kwargs)
+ self._xyz = (x, y, z)
+ self._dxdydz = (dx, dy, dz)
+
+ def draw(self, renderer):
+ x1, y1, z1 = self._xyz
+ dx, dy, dz = self._dxdydz
+ x2, y2, z2 = (x1 + dx, y1 + dy, z1 + dz)
+
+ xs, ys, zs = proj_transform((x1, x2), (y1, y2), (z1, z2), self.axes.M)
+ self.set_positions((xs[0], ys[0]), (xs[1], ys[1]))
+ super().draw(renderer)
+
+
+def _arrow3D(ax, x, y, z, dx, dy, dz, *args, **kwargs):
+ '''Add an 3d arrow to an `Axes3D` instance.'''
+
+ arrow = Arrow3D(x, y, z, dx, dy, dz, *args, **kwargs)
+ ax.add_artist(arrow)
+
+setattr(Axes3D, 'arrow3D', _arrow3D)
+################################################################################################################
+################################################################################################################
+################################################################################################################
+
+
+
+q1=1;
+q2=2;
+q12=1/2;
+q3=((4*q1*q2)**0.5-q12)/2;
+# H=[2*q1,q12+2*q3;q12+2*q3,2*q2];
+
+H = np.array([[2*q1, q12+2*q3], [q12+2*q3,2*q2] ])
+A = np.array([[q1,1/2*q12], [1/2*q12,q2] ])
+abar = np.array([q12+2*q3, 2*q2])
+abar = (1.0/math.sqrt((q12+2*q3)**2+(2*q2)**2))*abar
+
+print('abar:',abar)
+
+b = np.linalg.lstsq(A, abar)[0]
+print('b',b)
+
+
+# print('abar:',np.shape(abar))
+# print('np.transpose(abar):',np.shape(np.transpose(abar)))
+sstar = (1/(q1+q2))*abar.dot(A.dot(b))
+# sstar = (1/(q1+q2))*abar.dot(tmp)
+print('sstar', sstar)
+abarperp= np.array([abar[1],-abar[0]])
+print('abarperp:',abarperp)
+
+print('----------------------------')
+
+# ----------------------------------------------------------------
+
+N=1000;
+T = np.linspace(-sstar*(q12+2*q3)/(2*q2), sstar*(2*q2)/(q12+2*q3), num=N)
+print('T:', T)
+
+kappas = []
+alphas = []
+# G.append(float(s[0]))
+
+G_container = []
+abar_container = []
+e_container = []
+
+
+for t in T :
+
+ abar_current = sstar*abar+t*abarperp;
+ # print('abar_current', abar_current)
+ abar_current[abar_current < 1e-10] = 0
+ # print('abar_current', abar_current)
+ # G = np.array([[2*q1, q12+2*q3], [q12+2*q3,2*q2] ])
+ G = [abar_current[0], abar_current[1] , (2*abar_current[0]*abar_current[1])**0.5 ]
+ G_container.append(G)
+ abar_container.append(abar_current)
+ e = [(abar_current[0]/(abar_current[0]+abar_current[1]))**0.5, (abar_current[1]/(abar_current[0]+abar_current[1]))**0.5]
+ e_container.append(e)
+ kappa = abar_current[0]+abar_current[1]
+ alpha = math.atan2(e[1], e[0])
+ # print('angle current:', alpha)
+ kappas.append(kappa)
+ alphas.append(alpha)
+
+
+G_container = np.array(G_container)
+abar_container = np.array(abar_container)
+
+e_container = np.array(e_container)
+
+print('G_container', G_container)
+print('G_container.shape', G_container.shape)
+
+# idx_1 = np.where(alphas == np.pi/4)
+idx_1 = np.where(np.round(alphas,2) == round(np.pi/3,2))
+idx_2 = np.where(np.round(alphas,2) == 0.0)
+idx_3 = np.where(np.round(alphas,2) == round(np.pi/4,2))
+
+# idx_3 = np.where(alphas == 0)
+
+print('Index idx_1:', idx_1)
+print('Index idx_2:', idx_2)
+print('Index idx_3:', idx_3)
+print('Index idx_1[0][0]:', idx_1[0][0])
+print('Index idx_2[0][0]:', idx_2[0][0])
+print('Index idx_3[0][0]:', idx_3[0][0])
+
+alphas = np.array(alphas)
+kappas = np.array(kappas)
+
+
+# print('kappas:',kappas)
+# print('alphas:',alphas)
+print('min alpha:', min(alphas))
+print('min kappa:', min(kappas))
+
+
+print('G_container[idx_1[0][0]]', G_container[idx_1[0][0]])
+print('G_container[idx_2[0][0]]', G_container[idx_2[0][0]])
+print('G_container[idx_3[0][0]]', G_container[idx_3[0][0]])
+
+
+print('e_container[idx_1[0][0]]', e_container[idx_1[0][0]])
+print('e_container[idx_2[0][0]]', e_container[idx_2[0][0]])
+print('e_container[idx_3[0][0]]', e_container[idx_3[0][0]])
+
+
+
+###################################################
+
+reflect = False
+# reflect = True
+
+
+
+idx = 3
+
+if idx == 1 :
+ e = e_container[idx_1[0][0]]
+ kappa = kappas[idx_1[0][0]]
+ angle = alphas[idx_1[0][0]]
+ reflect = True
+
+if idx == 2 :
+ e = e_container[idx_2[0][0]]
+ kappa = kappas[idx_2[0][0]]
+ angle = alphas[idx_2[0][0]]
+
+
+if idx == 3 :
+ e = e_container[idx_3[0][0]]
+ kappa = kappas[idx_3[0][0]]
+ angle = alphas[idx_3[0][0]]
+
+### SCALE ?
+# kappa = kappa*2
+
+
+print('kappa:',kappa)
+print('angle:',angle)
+###################################################
+#### TEST apply reflection
+#
+# G_tmp = G_container[idx_1[0][0]]
+#
+# print('G_tmp', G_tmp)
+#
+# # Basis:
+# G_1 = np.array([[1.0,0.0], [0.0,0.0]])
+# G_2 = np.array([[0.0,0.0], [0.0,1.0]])
+# G_3 = (1/np.sqrt(2))*np.array([[0.0,1.0], [1.0,0.0]])
+# print('G_1', G_1)
+# print('G_2', G_2)
+# print('G_3', G_3)
+#
+# G = G_tmp[0] * G_1 + G_tmp[1]*G_2 + G_tmp[2]*G_3
+# print('G:', G )
+#
+# T = np.array([[1.0 , -1.0] , [-1.0,1.0]])
+#
+# TG = np.multiply(T,G)
+# print('TG', TG)
+#
+#
+#
+# v = np.array([np.sqrt(TG[0][0]),np.sqrt(TG[1][1]) ])
+# print('v', v)
+# print('norm(v):', np.linalg.norm(v))
+# norm_v = np.linalg.norm(v)
+#
+# kappa = norm_v**2
+#
+# e = (1/norm_v)*v
+# print('e:', e)
+# print('kappa:', kappa)
+
+
+
+
+
+
+if reflect == True:
+ reflected_e = np.array([e[0], -1*e[1]])
+ e = reflected_e # Correct?! Reflect e on x-Axis ??!
+ print('reflected_e:', reflected_e)
+
+
+############################################################################################################################################
+####################################################################### KAPPA NEGATIVE ####################################################
+############################################################################################################################################
+# kappa = -2
+num_Points = 200
+# num_Points = 100
+
+
+# e = np.array([1,0])
+# e = np.array([0,1])
+# e = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# e = np.array([1/2,np.sqrt(3)/2])
+# e = np.array([np.sqrt(3)/2,1/2])
+# e = np.array([-1,0])
+# e = np.array([0,-1])
+
+###--- Creating dataset
+x = np.linspace(-2,2,num_Points)
+x = np.linspace(-2.5,2.5,num_Points)
+x = np.linspace(-3,3,num_Points)
+# x = np.linspace(-4,4,num_Points)
+
+# x = np.linspace(-1.5,1.5,num_Points)
+# x = np.linspace(-1,1,num_Points)
+y = np.linspace(-1/2,1/2,num_Points)
+y = np.linspace(-1/4,1/4,num_Points)
+
+print('type of x', type(x))
+print('max of x:', max(x))
+print('max of y:', max(y))
+# print('x:', x)
+
+x1, x2 = np.meshgrid(x,y)
+zero = 0*x1
+
+if kappa == 0 :
+ u1 = 0*x1
+ u2 = x1*e[0] + x2*e[1]
+ u3 = x2*e[0] - x1*e[1]
+
+else :
+ u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+ u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+ u3 = x2*e[0] -x1*e[1]
+
+# print('np.size(u1)',np.size(u1))
+# print('u1.shape',u1.shape)
+# colorfunction=(u1**2+u2**2)
+# print('colofunction',colorfunction)
+
+# print('u1.size:',np.size(u1))
+# tmp = np.ones(np.size(u1))*kappa
+# print('np.size(tmp)',np.size(tmp))
+B = np.full_like(u1, 1)
+# colorfunction=(u3) # TODO Color by angle
+# colorfunction=(np.ones(np.size(u1))*kappa)
+colorfunction=(B*kappa)
+# print('colofunction',colorfunction)
+norm=mcolors.Normalize(colorfunction.min(),colorfunction.max())
+
+
+# -----------------------------------------------------
+# Display the mesh
+fig = plt.figure()
+
+
+width = 6.28 *0.5
+width = 6.28 * 0.333
+height = width / 1.618
+height = width / 2.5
+height = width
+
+
+
+ax = plt.axes(projection ='3d', adjustable='box')
+
+
+###---TEST MAP e-vectprs!
+# e1 = np.array([1,0])
+# e2 = np.array([0,1])
+# e3 = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# e1 = np.array([0,1])
+# e2 = np.array([-1,0])
+# e3 = np.array([-1/np.sqrt(2),1/np.sqrt(2)])
+# e1_mapped = u(e1,kappa,e1)
+# e2_mapped = u(e2,kappa,e2)
+# e3_mapped = u(e3,kappa,e3)
+# print('e1 mapped:',e1_mapped)
+# print('e2 mapped:',e2_mapped)
+# print('e3 mapped:',e3_mapped)
+### -----------------------------------
+
+#--e1 :
+# Rotation_angle = -np.pi/2
+# Rotation_vector = np.array([0,1,0])
+
+#--e2:
+Rotation_angle = np.pi/2
+Rotation_vector = np.array([1,0,0])
+
+###--e = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# Rotation_angle = -np.pi/2
+# Rotation_vector = np.array([1,0,0])
+# #2te rotation :
+# Rotation_angle = np.pi/4
+# Rotation_vector = np.array([0,0,1])
+
+
+
+Rotation_angle = -np.pi/2
+Rotation_angle = 0
+# Rotation_angle = np.pi/2
+Rotation_vector = np.array([0,1,0])
+Rotation_vector = np.array([1,0,0])
+
+# rot(np.array([0,1,0]),np.pi/2)
+
+# ZERO ROTATION
+Rotation = rot(np.array([0,1,0]),0)
+
+# if idx == 1:
+# Rotation = rot(np.array([1,0,0]),np.pi)
+# Rotation = rot(np.array([1,0,0]),np.pi).dot(rot(np.array([0,0,1]),angle))
+
+Rotation = rot(np.array([1,0,0]),np.pi)
+
+# TEST :
+
+#DETERMINE ANGLE:
+angle = math.atan2(e[1], e[0])
+print('angle:', angle)
+
+## GENERAL TRANSFORMATION / ROTATION:
+# Rotation = rot(np.array([0,0,1]),angle).dot(Rotation)
+Rotation = rot(np.array([1,0,0]),np.pi).dot(rot(np.array([0,0,1]),angle))
+# Rotation = rot(np.array([0,0,1]),angle).dot(rot(np.array([0,1,0]),-np.pi/2))
+
+# Rotation = rot(np.array([0,0,1]),+np.pi/4).dot(Rotation)
+# Rotation = rot(np.array([0,0,1]),+np.pi/16).dot(Rotation)
+
+
+# Rotation = rot(np.array([0,0,1]),np.pi/2).dot(Rotation)
+
+
+### if e1:
+# Rotation = rot(np.array([0,0,1]),-np.pi/4).dot(Rotation)
+# Rotation = rot(np.array([0,0,1]),+np.pi/16).dot(Rotation)
+
+# Add another rotation around z-axis:
+# Rotation = rot(np.array([0,0,1]),+np.pi).dot(Rotation)
+# Rotation = rot(np.array([0,0,1]),+np.pi/4).dot(Rotation)
+
+
+# Rotation = rot(np.array([0,0,1]),+np.pi/8).dot(Rotation)
+
+#e3 :
+# Rotation = rot(np.array([0,1,0]),-np.pi/2)
+# Rotation = rot(np.array([0,0,1]),np.pi/4).dot(rot(np.array([0,1,0]),-np.pi/2))
+
+# Rotation = rot(np.array([0,0,1]),np.pi/4)
+# Rotation = rot(np.array([1,0,0]),np.pi/4)
+#### if e1 :
+# Rotation = rot(np.array([0,1,0]),-np.pi/2)
+#### if e2:
+# Rotation = rot(np.array([0,1,0]),-np.pi/2).dot(rot(np.array([1,0,0]),-np.pi/2))
+# # #### if e3 :
+# zufall dass np.pi/4 genau dem Winkel angle alpha entspricht?:
+# (würde) bei e_2 keinen Unterschied machen um z achse zu rotieren?!
+
+# Rotation = rot(np.array([0,0,1]),np.pi/4).dot(rot(np.array([0,1,0]),-np.pi/2).dot(rot(np.array([1,0,0]),-np.pi/2)))
+# Rotation = rot(np.array([0,0,1]),np.pi/2).dot(rot(np.array([0,1,0]),-np.pi/2).dot(rot(np.array([1,0,0]),-np.pi/2)))
+
+# Rotation = rot(np.array([1,0,0]),np.pi/2)
+
+# Rotation_vector = e3_mapped #TEST
+# Rotation_vector = np.array([-1/np.sqrt(2),1/np.sqrt(2)])
+# Rotation_vector = np.array([0,0,1])
+
+# v = np.array([1,0,0])
+# X = np.array([u1,u2,u3])
+
+
+
+
+# T = rotate_data(np.array([u1,u2,u3]),Rotation_vector,Rotation_angle)
+T = rotate_data(np.array([u1,u2,u3]),Rotation)
+
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 2, cstride = 2, facecolors=cm.brg(colorfunction), alpha=.4, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.viridis(colorfunction), alpha=.4, zorder=4)
+
+
+###---- PLOT PARAMETER-PLANE:
+# ax.plot_surface(x1,x2,zero,color = 'w', rstride = 1, cstride = 1 )
+
+
+print('------------------ Kappa : ', kappa)
+
+#midpoint:
+midpoint = np.array([(max(x)+min(x))/2,(max(y)+min(y))/2])
+print('midpoint',midpoint)
+
+# Map midpoint:
+midpoint_mapped = u(midpoint,kappa,e)
+print('mapped midpoint', midpoint_mapped)
+
+#map origin
+origin = np.array([0,0])
+origin_mapped = u(origin,kappa,e)
+
+
+mapped_e = grad_u(midpoint,kappa,e)
+normal = compute_normal(midpoint,kappa,e)
+
+print('mapped_e', mapped_e)
+print('normal',normal )
+
+#
+# mapped_e = Rotation.dot(mapped_e)
+# normal = Rotation.dot(normal)
+
+
+# Plot Mapped_midPoint
+# ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], # data
+# marker='o', # each marker will be rendered as a circle
+# markersize=4, # marker size
+# markerfacecolor='orange', # marker facecolor
+# markeredgecolor='black', # marker edgecolor
+# markeredgewidth=1, # marker edge width
+# linewidth=1,
+# zorder=4) # line width
+
+# ax.quiver([midpoint_mapped[0]], [midpoint_mapped[1]], [midpoint_mapped[2]], [mapped_e[0]], [mapped_e[1]], [mapped_e[2]], color="red")
+# ax.quiver([midpoint_mapped[0]], [midpoint_mapped[1]], [midpoint_mapped[2]], [normal[0]], [normal[1]], [normal[2]], color="blue")
+
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=15,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='green',
+# lw = 2,
+# ec ='green',
+# zorder=3)
+#
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# normal[0],normal[1],normal[2],
+# mutation_scale=15,
+# lw = 2,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue',
+# zorder = 3)
+
+
+###-- TEST Rotation :
+# v = np.array([1,0,0])
+# t = np.array([0,1,0])
+#
+# ax.arrow3D(0,0,0,
+# t[0],t[1],t[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue')
+#
+# # e_extend
+#
+# rotM = rot(v,np.pi/2)
+#
+# print('rotM:', rotM)
+#
+# rot_t = rotM.dot(t)
+#
+# print('rot_t:', rot_t)
+#
+# ax.arrow3D(0,0,0,
+# rot_t[0],rot_t[1],rot_t[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue')
+
+### -------------------------------------------
+
+############################################################################################################################################
+####################################################################### KAPPA POSITIVE ####################################################
+############################################################################################################################################
+
+# kappa = (-1)*kappa
+
+# if kappa == 0 :
+# u1 = 0*x1
+# u2 = x1*e[0] + x2*e[1]
+# u3 = x2*e[0] - x1*e[1]
+# else :
+# u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+# u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+# u3 = x2*e[0] -x1*e[1]
+
+if kappa == 0 :
+ # u1 = 0*x1
+ # u2 = x1*e[0] + x2*e[1]
+ # u3 = x2*e[0] - x1*e[1]
+ u1 = x1*e[0] + x2*e[1]
+ u2 = x2*e[0] - x1*e[1]
+ u3 = 0*x1
+
+else :
+ # u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+ # u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+ # u3 = x2*e[0] -x1*e[1]
+ u1 = -(1/kappa)*np.sin((-1)*kappa*(x1*e[0]+x2*e[1]))
+ u2 = x2*e[0] -x1*e[1]
+ u3 = (1/kappa)*np.cos((-1)*kappa*(x1*e[0]+x2*e[1]))-(1/kappa)
+
+
+
+# ax.plot_surface(u1, u2, u3, color = 'w', rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.3) ##This one!
+
+
+# T = rotate_data(X,Rotation_vector,Rotation_angle)
+
+T = rotate_data(np.array([u1,u2,u3]),Rotation)
+# T = rotate_data(T,np.array([0,1,0]),Rotation_angle)
+# T = rotate_data(T,np.array([0,0,1]),-1*Rotation_angle/2)
+
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, antialiased=False)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, antialiased=True)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 2, cstride = 2, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 10, cstride = 10, facecolors=cm.brg(colorfunction), alpha=.8, zorder=4)
+ax.plot_surface(T[0], T[1], T[2], rstride = 5, cstride = 5, color='orange', alpha=.8, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 10, cstride = 10, color='blue', alpha=.8, zorder=4, shade=True)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, shade=True)
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=0.8, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=1, zorde5r=5)
+
+# midpoint = np.array([(max(x)+min(x))/2,(max(y)+min(y))/2])
+# print('midpoint',midpoint)
+print('------------------ Kappa : ', kappa)
+# Map midpoint:
+midpoint_mapped = u(midpoint,kappa,e)
+print('mapped midpoint', midpoint_mapped)
+
+#map origin
+origin = np.array([0,0])
+origin_mapped = u(origin,kappa,e)
+
+
+mapped_e = grad_u(midpoint,kappa,e)
+normal = compute_normal(midpoint,kappa,e)
+
+print('mapped_e', mapped_e)
+print('normal',normal )
+
+
+#
+mapped_e = Rotation.dot(mapped_e)
+normal = Rotation.dot(normal)
+
+
+
+# Plot MIDPOINT:
+# ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], # data
+# marker='o', # each marker will be rendered as a circle
+# markersize=4, # marker size
+# markerfacecolor='orange', # marker facecolor
+# markeredgecolor='black', # marker edgecolor
+# markeredgewidth=1, # marker edge width
+# linewidth=1,
+# zorder=5) # line width
+
+
+#midpoint:
+endpoint = np.array([min(x),(max(y)+min(y))/2])
+print('endpoint',endpoint)
+
+# Map midpoint:
+endpoint_mapped = u(endpoint,kappa,e)
+print('mapped endpoint', endpoint_mapped)
+
+endpoint_mapped = Rotation.dot(endpoint_mapped)
+
+mapped_e = grad_u(endpoint,kappa,e)
+normal = compute_normal(endpoint,kappa,e)
+
+
+mapped_e = Rotation.dot(mapped_e)
+normal = Rotation.dot(normal)
+
+
+
+
+reverse_normal = np.array([ (-1)*normal[0], (-1)*normal[1], (-1)*normal[2]])
+
+ax.plot(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2], # data
+marker='o', # each marker will be rendered as a circle
+markersize=1, # marker size
+markerfacecolor='black', # marker facecolor
+markeredgecolor='black', # marker edgecolor
+markeredgewidth=0.5, # marker edge width
+linewidth=1,
+zorder=5) # line width
+
+
+
+# ax.arrow3D(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=15,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='green',
+# lw = 1.5,
+# ec ='green',
+# zorder=5)
+
+# ax.arrow3D(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2],
+# normal[0],normal[1],normal[2],
+# mutation_scale=15,
+# lw = 1.5,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue',
+# zorder = 5)
+
+ax.arrow3D(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2],
+ reverse_normal[0],reverse_normal[1],reverse_normal[2],
+ mutation_scale=10,
+ lw = 1.5,
+ arrowstyle="-|>",
+ linestyle='-',fc='purple', alpha=0.75,
+ ec ='purple',
+ zorder = 5)
+
+
+
+
+# second Endpoint
+endpoint = np.array([max(x),(max(y)+min(y))/2])
+print('endpoint',endpoint)
+
+# Map midpoint:
+endpoint_mapped = u(endpoint,kappa,e)
+print('mapped endpoint', endpoint_mapped)
+
+endpoint_mapped = Rotation.dot(endpoint_mapped)
+
+mapped_e = grad_u(endpoint,kappa,e)
+normal = compute_normal(endpoint,kappa,e)
+
+
+mapped_e = Rotation.dot(mapped_e)
+normal = Rotation.dot(normal)
+
+
+
+
+reverse_normal = np.array([ (-1)*normal[0], (-1)*normal[1], (-1)*normal[2]])
+
+ax.plot(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2], # data
+marker='o', # each marker will be rendered as a circle
+markersize=1, # marker size
+markerfacecolor='black', # marker facecolor
+markeredgecolor='black', # marker edgecolor
+markeredgewidth=0.5, # marker edge width
+linewidth=1,
+zorder=5) # line width
+
+
+
+# ax.arrow3D(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=15,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='green',
+# lw = 1.5,
+# ec ='green',
+# zorder=5)
+
+# ax.arrow3D(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2],
+# normal[0],normal[1],normal[2],
+# mutation_scale=15,
+# lw = 1.5,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue',
+# zorder = 5)
+
+ax.arrow3D(endpoint_mapped[0],endpoint_mapped[1],endpoint_mapped[2],
+ reverse_normal[0],reverse_normal[1],reverse_normal[2],
+ mutation_scale=10,
+ lw = 1.5,
+ arrowstyle="-|>",
+ linestyle='-',fc='purple', alpha=0.75,
+ ec ='purple',
+ zorder = 5)
+
+
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=15,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='green',
+# lw = 1.5,
+# ec ='green',
+# zorder=5)
+#
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# normal[0],normal[1],normal[2],
+# mutation_scale=15,
+# lw = 1.5,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue',
+# zorder = 5)
+
+
+############################################################################################################################################
+####################################################################### KAPPA ZERO #########################################################
+############################################################################################################################################
+kappa = 0
+
+# if kappa == 0 :
+# u1 = 0*x1
+# u2 = x1*e[0] + x2*e[1]
+# u3 = x2*e[0] - x1*e[1]
+# else :
+# u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+# u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+# u3 = x2*e[0] -x1*e[1]
+
+if kappa == 0 :
+ # u1 = 0*x1
+ # u2 = x1*e[0] + x2*e[1]
+ # u3 = x2*e[0] - x1*e[1]
+ u1 = x1*e[0] + x2*e[1]
+ u2 = x2*e[0] - x1*e[1]
+ u3 = 0*x1
+
+else :
+ # u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+ # u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+ # u3 = x2*e[0] -x1*e[1]
+ u1 = -(1/kappa)*np.sin((-1)*kappa*(x1*e[0]+x2*e[1]))
+ u2 = x2*e[0] -x1*e[1]
+ u3 = (1/kappa)*np.cos((-1)*kappa*(x1*e[0]+x2*e[1]))-(1/kappa)
+# ax.plot_surface(u1, u2, u3, rstride = 1, cstride = 1, color = 'white', alpha=0.85)
+
+# T = rotate_data(np.array([u1,u2,u3]),Rotation_vector,Rotation_angle)
+
+T = rotate_data(np.array([u1,u2,u3]),Rotation)
+# T = rotate_data(T,np.array([0,1,0]),Rotation_angle)
+# T = rotate_data(T,np.array([0,0,1]),-1*Rotation_angle/2)
+
+
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, color = 'white', alpha=0.55, zorder=2, antialiased=True)
+# ax.plot_surface(T[0], T[1], T[2], rstride =1 , cstride = 1, color = 'white', alpha=0.55, zorder=3)
+
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, color = 'white', alpha=0.55, zorder=2)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, color = 'white', alpha=0.5, zorder=2, antialiased=True)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 10, cstride = 10, color = 'white', alpha=0.55, zorder=2)
+ax.plot_surface(T[0], T[1], T[2], rstride = 20, cstride = 20, color = 'gray', alpha=0.35, zorder=1, shade=True)
+# ax.plot_surface(T[0], T[1], T[2], color = 'white', alpha=0.55, zorder=2)
+
+# midpoint = np.array([(max(x)+min(x))/2,(max(y)+min(y))/2])
+mapped_e = grad_u(midpoint,kappa,e)
+normal_zeroCurv = compute_normal(midpoint,kappa,e)
+
+# Map midpoint:
+midpoint_mapped = u(midpoint,kappa,e)
+print('mapped midpoint', midpoint_mapped)
+
+##----- PLOT MAPPED MIDPOINT :::
+
+# ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], # data
+# marker='o', # each marker will be rendered as a circle
+# markersize=4, # marker size
+# markerfacecolor='orange', # marker facecolor
+# markeredgecolor='black', # marker edgecolor
+# markeredgewidth=1, # marker edge width
+# # linestyle='--', # line style will be dash line
+# linewidth=1,
+# zorder=5)
+
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='red',
+# ec ='red')
+#
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# normal_zeroCurv[0],normal_zeroCurv[1],normal_zeroCurv[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue')
+
+
+##---------- PLOT MAPPED ORIGIN :::
+# origin = np.array([0,0])
+# origin_mapped = u(origin,kappa,e)
+# print('origin_mapped', origin_mapped)
+#
+# ax.plot(origin_mapped[0],origin_mapped[1],origin_mapped[2], # data
+# marker='o', # each marker will be rendered as a circle
+# markersize=4, # marker size
+# markerfacecolor='green', # marker facecolor
+# markeredgecolor='black', # marker edgecolor
+# markeredgewidth=1, # marker edge width
+# linewidth=1,
+# zorder=5) # line width
+#
+# # rotate mapped origin
+# # v = np.array([1,0,0])
+# # alpha = Rotation_angle
+#
+# rotM = rot(Rotation_vector,Rotation_angle)
+# # origin_mRot = rotate_data(origin_mapped,v,alpha)
+# origin_mRot = rotM.dot(origin_mapped)
+# print('origin_mapped Rotated', origin_mRot)
+#
+# # --- Compute Distance to Origin 3D
+# origin_3D=np.array([0,0,0])
+# distance = origin_mapped-origin_3D
+# print('distance', distance)
+
+## --------------------------------------------------------
+
+# COMPUTE ANGLE WITH Z AXIS
+z = np.array([0,0,1])
+print('test', normal_zeroCurv*z)
+angle_z = np.arccos(normal_zeroCurv.dot(z) /( (np.linalg.norm(z)*np.linalg.norm(normal_zeroCurv) ) ))
+print('angle between normal and z-axis', angle_z)
+
+## unfinished...
+
+
+
+
+###------------------------------------- PLOT :
+plt.axis('off')
+# plt.axis('tight')
+
+# ADD colorbar
+# scamap = plt.cm.ScalarMappable(cmap='inferno')
+# fig.colorbar(scamap)
+
+# ax.colorbar()
+# ax.axis('auto')
+# ax.set_title(r'Cylindrical minimizer_$\kappa$='+ str(kappa)+ '_$e$=' + str(e))
+# ax.set_title(r'Cylindrical minimizer' + '_$e$=' + str(e))
+ax.set_xlabel(r"x-axis")
+ax.set_ylabel(r"y-axis")
+ax.set_zlabel(r"z-axis")
+
+# TEST :
+# ax.annotate3D('point 1', (0, 0, 0), xytext=(3, 3), textcoords='offset points')
+# ax.annotate3D('point 2', (0, 1, 0),
+# xytext=(-30, -30),
+# textcoords='offset points',
+# arrowprops=dict(ec='black', fc='white', shrink=2.5))
+# ax.annotate3D('point 3', (0, 0, 1),
+# xytext=(30, -30),
+# textcoords='offset points',
+# bbox=dict(boxstyle="round", fc="lightyellow"),
+# arrowprops=dict(arrowstyle="-|>", ec='black', fc='white', lw=5))
+
+#######################################################################################################################
+
+u1 = T[0]
+u2 = T[1]
+u3 = T[2]
+
+# max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /3
+max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /12
+# max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /8
+# max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /10
+max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /14
+# max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /6
+# max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /2
+mid_u1 = (u1.max()+u1.min()) * 0.5
+mid_u2 = (u2.max()+u2.min()) * 0.5
+mid_u3 = (u3.max()+u3.min()) * 0.5
+
+
+ax.set_xlim(mid_u1 - max_range, mid_u1 + max_range)
+ax.set_ylim(mid_u2 - max_range, mid_u2 + max_range)
+ax.set_zlim(mid_u3 - max_range, mid_u3 + max_range)
+
+ax.set_ylim((mid_u2 - max_range)-2, (mid_u2 + max_range)+2)
+# ax.set_zlim((mid_u2 - max_range), (mid_u2 + max_range)+2)
+# ax.set_ylim((mid_u2 - max_range)-1.5, (mid_u2 + max_range)+1.5)
+# # ax.autoscale(tight=True)
+# ax.set_xlim((mid_u1 - max_range)-1, (mid_u1 + max_range)+1)
+# ax.set_xlim((mid_u1 - max_range)-0.5, (mid_u1 + max_range)+0.5)
+ax.set_xlim((mid_u1 - max_range)-2, (mid_u1 + max_range)+2)
+# ax.set_ylim((mid_u2 - max_range)-2, (mid_u2 + max_range)+2)
+ax.set_zlim((mid_u2 - max_range), (mid_u2 + max_range)+2)
+
+# ax.set_ylim((mid_u2 - max_range)-2, (mid_u2 + max_range)+3)
+# ax.set_zlim((mid_u2 - max_range), (mid_u2 + max_range)+2)
+
+
+##----- CHANGE CAMERA POSITION:
+# ax.view_init(elev=10., azim=0)
+# ax.view_init(elev=38, azim=90)
+# ax.view_init(elev=38, azim=120)
+# ax.view_init(elev=38)
+
+# if e1 ::
+# ax.view_init(elev=44)
+# ax.view_init(elev=38, azim=-90)
+# ax.view_init(elev=38, azim=0)
+# ax.view_init(elev=25, azim=-30)
+# ax.view_init(elev=18, azim=-30)
+ax.view_init(elev=25, azim=-125)
+# ax.view_init(elev=25, azim=150)
+# ax.view_init(elev=25, azim=135)
+
+# ax.view_init(elev=25, azim=125) #idx2
+
+
+
+# ax.view_init(elev=25, azim=145)
+
+
+# if e3 ::
+# ax.view_init(elev=25)
+
+# ax.set_xlim3d(-2, 2)
+# ax.set_ylim3d(-1.0,3.0)
+# ax.set_zlim3d(-1.5,2.5)
+
+# ax.set_ylim3d(-10,10)
+# ax.set_xlim(mid_u1 - max_range-0.2, mid_u1 + max_range+0.2)
+# ax.set_zlim(mid_u3 - max_range-0.2, mid_u3 + max_range+0.2)
+# ax.set_ylim(mid_u2 - max_range-0.2, mid_u2 + max_range+0.2)
+
+# width = 6.28 *0.5
+# height = width / 1.618
+# # height = width / 2.5
+# fig.set_size_inches(width, height)
+# fig.savefig('Test-Cylindrical.pdf')
+
+# Figurename = r'Cylindrical minimizer_$\kappa$='+ str(kappa)+ '_$e$=' + str(e)
+# Figurename = r'Cylindrical minimizer' + '_$e$=' + str(e)
+Figurename = r'1-ParFamMinimizer_idx' + str(idx)
+# plt.savefig("test.png", bbox_inches='tight')
+# plt.figure().set_size_inches(width, height)
+# plt.set_size_inches(width, height)
+
+
+# fig.set_size_inches(width, height) !!!!!
+
+
+
+
+fig.savefig(Figurename+".pdf")
+
+plt.savefig(Figurename+".png", bbox_inches='tight', dpi=300)
+# plt.savefig(Figurename+".png")
+plt.show()
+
+
+
+# #---------------------------------------------------------------
diff --git a/src/1-ParameterFamily-Minimizers_v2.py b/Python-Scripts/1-ParameterFamily-Minimizers_v2.py
similarity index 100%
rename from src/1-ParameterFamily-Minimizers_v2.py
rename to Python-Scripts/1-ParameterFamily-Minimizers_v2.py
diff --git a/src/1-ParameterFamily-Minimizers_v3.py b/Python-Scripts/1-ParameterFamily-Minimizers_v3.py
similarity index 99%
rename from src/1-ParameterFamily-Minimizers_v3.py
rename to Python-Scripts/1-ParameterFamily-Minimizers_v3.py
index a297b4db..eca4fb18 100644
--- a/src/1-ParameterFamily-Minimizers_v3.py
+++ b/Python-Scripts/1-ParameterFamily-Minimizers_v3.py
@@ -304,7 +304,7 @@ reflect = False
-idx = 3
+idx = 1
if idx == 1 :
e = e_container[idx_1[0][0]]
diff --git a/src/1-ParameterFamily_G+.py b/Python-Scripts/1-ParameterFamily_G+.py
similarity index 100%
rename from src/1-ParameterFamily_G+.py
rename to Python-Scripts/1-ParameterFamily_G+.py
diff --git a/src/1-ParameterFamily_G+_Flat.py b/Python-Scripts/1-ParameterFamily_G+_Flat.py
similarity index 100%
rename from src/1-ParameterFamily_G+_Flat.py
rename to Python-Scripts/1-ParameterFamily_G+_Flat.py
diff --git a/src/1-ParameterFamily_G+_Flat_v2.py b/Python-Scripts/1-ParameterFamily_G+_Flat_v2.py
similarity index 100%
rename from src/1-ParameterFamily_G+_Flat_v2.py
rename to Python-Scripts/1-ParameterFamily_G+_Flat_v2.py
diff --git a/src/1-ParameterFamily_G+_v2.py b/Python-Scripts/1-ParameterFamily_G+_v2.py
similarity index 100%
rename from src/1-ParameterFamily_G+_v2.py
rename to Python-Scripts/1-ParameterFamily_G+_v2.py
diff --git a/src/1-ParameterFamily_G+_v3.py b/Python-Scripts/1-ParameterFamily_G+_v3.py
similarity index 100%
rename from src/1-ParameterFamily_G+_v3.py
rename to Python-Scripts/1-ParameterFamily_G+_v3.py
diff --git a/src/1-ParameterFamily_G+_v4.py b/Python-Scripts/1-ParameterFamily_G+_v4.py
similarity index 100%
rename from src/1-ParameterFamily_G+_v4.py
rename to Python-Scripts/1-ParameterFamily_G+_v4.py
diff --git a/src/1-ParameterFamily_G+_v5.py b/Python-Scripts/1-ParameterFamily_G+_v5.py
similarity index 100%
rename from src/1-ParameterFamily_G+_v5.py
rename to Python-Scripts/1-ParameterFamily_G+_v5.py
diff --git a/src/2DPhaseDiagram_PlotScript.py b/Python-Scripts/2DPhaseDiagram_PlotScript.py
similarity index 100%
rename from src/2DPhaseDiagram_PlotScript.py
rename to Python-Scripts/2DPhaseDiagram_PlotScript.py
diff --git a/src/2DPhaseDiagram_PlotScriptV2.py b/Python-Scripts/2DPhaseDiagram_PlotScriptV2.py
similarity index 100%
rename from src/2DPhaseDiagram_PlotScriptV2.py
rename to Python-Scripts/2DPhaseDiagram_PlotScriptV2.py
diff --git a/src/2DPhaseDiagram_Ratios_PlotScript.py b/Python-Scripts/2DPhaseDiagram_Ratios_PlotScript.py
similarity index 100%
rename from src/2DPhaseDiagram_Ratios_PlotScript.py
rename to Python-Scripts/2DPhaseDiagram_Ratios_PlotScript.py
diff --git a/src/CellScript.py b/Python-Scripts/CellScript.py
similarity index 100%
rename from src/CellScript.py
rename to Python-Scripts/CellScript.py
diff --git a/src/ClassifyMin.py b/Python-Scripts/ClassifyMin.py
similarity index 100%
rename from src/ClassifyMin.py
rename to Python-Scripts/ClassifyMin.py
diff --git a/src/ClassifyMinVec.py b/Python-Scripts/ClassifyMinVec.py
similarity index 100%
rename from src/ClassifyMinVec.py
rename to Python-Scripts/ClassifyMinVec.py
diff --git a/src/ClassifyMin_New.py b/Python-Scripts/ClassifyMin_New.py
similarity index 100%
rename from src/ClassifyMin_New.py
rename to Python-Scripts/ClassifyMin_New.py
diff --git a/src/CylindricalMinimizer-Plot.py b/Python-Scripts/CylindricalMinimizer-Plot.py
similarity index 97%
rename from src/CylindricalMinimizer-Plot.py
rename to Python-Scripts/CylindricalMinimizer-Plot.py
index 4089b0cf..00eb605a 100644
--- a/src/CylindricalMinimizer-Plot.py
+++ b/Python-Scripts/CylindricalMinimizer-Plot.py
@@ -365,8 +365,8 @@ Rotation = rot(np.array([0,0,1]),+np.pi/16).dot(Rotation)
T = rotate_data(np.array([u1,u2,u3]),Rotation)
# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 2, cstride = 2, facecolors=cm.brg(colorfunction), alpha=.4, zorder=4)
-ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.viridis(colorfunction), alpha=.4, zorder=4)
-
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.viridis(colorfunction), alpha=.4, zorder=4)
+ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.Spectral_r(colorfunction), alpha=.4, zorder=4)
###---- PLOT PARAMETER-PLANE:
# ax.plot_surface(x1,x2,zero,color = 'w', rstride = 1, cstride = 1 )
@@ -483,6 +483,9 @@ T = rotate_data(np.array([u1,u2,u3]),Rotation)
# T = rotate_data(T,np.array([0,1,0]),Rotation_angle)
# T = rotate_data(T,np.array([0,0,1]),-1*Rotation_angle/2)
+
+cmap = mpl.colors.LinearSegmentedColormap.from_list("", ["blue","orange"])
+
# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, antialiased=False)
# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, antialiased=True)
ax.plot_surface(T[0], T[1], T[2], rstride = 2, cstride = 2, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4)
@@ -534,9 +537,10 @@ ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
mapped_e[0],mapped_e[1],mapped_e[2],
mutation_scale=15,
arrowstyle="-|>",
- linestyle='dashed',fc='green',
+ linestyle='dashed',fc='limegreen',
+ # linestyle='dashed',fc='green',
lw = 1.5,
- ec ='green',
+ ec ='limegreen',
zorder=5)
ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
@@ -544,8 +548,10 @@ ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
mutation_scale=15,
lw = 1.5,
arrowstyle="-|>",
- linestyle='dashed',fc='blue',
- ec ='blue',
+ linestyle='dashed',fc='royalblue',
+ # linestyle='dashed',fc='yellow',
+ ec ='royalblue',
+ # ec ='orange',
zorder = 5)
diff --git a/Python-Scripts/CylindricalMinimizer-Plot_newColors.py b/Python-Scripts/CylindricalMinimizer-Plot_newColors.py
new file mode 100644
index 00000000..a77c0b72
--- /dev/null
+++ b/Python-Scripts/CylindricalMinimizer-Plot_newColors.py
@@ -0,0 +1,828 @@
+import numpy as np
+import matplotlib.pyplot as plt
+import sympy as sym
+import math
+import os
+import subprocess
+import fileinput
+import re
+import matlab.engine
+import matplotlib.ticker as tickers
+import matplotlib as mpl
+from matplotlib.ticker import MultipleLocator,FormatStrFormatter,MaxNLocator
+from mpl_toolkits.mplot3d import Axes3D
+import pandas as pd
+import matplotlib.colors as mcolors
+from matplotlib import cm
+
+from mpl_toolkits.mplot3d.proj3d import proj_transform
+# from mpl_toolkits.mplot3d.axes3d import Axes3D
+from matplotlib.text import Annotation
+from matplotlib.patches import FancyArrowPatch
+
+import matplotlib as mpl
+import seaborn as sns
+import matplotlib.colors as mcolors
+
+# Extra packages :
+# from HelperFunctions import *
+# from ClassifyMin import *
+# from subprocess import Popen, PIPE
+#import sys
+
+###################### Documentation #########################
+
+#..... add description here
+
+###########################################################
+
+
+def rot(v,alpha):
+
+#rotate about axis v with degree deg in radians:
+
+
+ tmp = np.array([ [v[0]**2*(1-np.cos(alpha))+np.cos(alpha), v[0]*v[1]*(1-np.cos(alpha))-v[2]*np.sin(alpha), v[0]*v[2]*(1-np.cos(alpha))+ v[1]*np.sin(alpha) ],
+ [v[0]*v[1]*(1-np.cos(alpha))+v[2]*np.sin(alpha), v[1]**2*(1-np.cos(alpha))+np.cos(alpha), v[1]*v[2]*(1-np.cos(alpha))+v[0]*np.sin(alpha) ],
+ [v[2]*v[0]*(1-np.cos(alpha))-v[1]*np.sin(alpha), v[2]*v[1]*(1-np.cos(alpha))+v[0]*np.sin(alpha) , v[2]**2*(1-np.cos(alpha))+np.cos(alpha) ] ])
+
+ return tmp
+
+
+
+def rotate_data(X, R):
+#rotate about axis v with degree deg in radians:
+# X : DataSet
+# R : RotationMatrix
+ print('ROTATE DATA FUNCTION ---------------')
+
+ rot_matrix = R
+ # print('rot_matrix:', rot_matrix)
+ # print('rot_matrix.shape:', rot_matrix.shape)
+ # print('X', X)
+ # print('shape of X[0]', X.shape[0])
+ B = np.dot(rot_matrix, X.reshape(rot_matrix.shape[1],-1))
+ # print('shape of B', B.shape)
+ # print('B',B)
+ # print('B[0,:]', B[0,:])
+ # print('B[0,:].shape', B[0,:].shape)
+ Out = np.array([B[0,:].reshape(X.shape[1],X.shape[2]), B[1,:].reshape(X.shape[1],X.shape[2]), B[2,:].reshape(X.shape[1],X.shape[2])])
+ print('shape of Out', Out.shape)
+
+ return Out
+
+# def rotate_data(X, v,alpha): #(Old Version)
+# #rotate about axis v with degree deg in radians:
+# # X : DataSet
+# print('ROTATE DATA FUNCTION ---------------')
+# # v = np.array([1,0,0])
+# # rotM = rot(v,np.pi/2)
+# # print('rotM:', rotM)
+# rot_matrix = rot(v,alpha)
+# # print('rot_matrix:', rot_matrix)
+# # print('rot_matrix.shape:', rot_matrix.shape)
+#
+# # print('X', X)
+# # print('shape of X[0]', X.shape[0])
+# B = np.dot(rot_matrix, X.reshape(rot_matrix.shape[1],-1))
+#
+# # print('shape of B', B.shape)
+# # print('B',B)
+# # print('B[0,:]', B[0,:])
+# # print('B[0,:].shape', B[0,:].shape)
+# Out = np.array([B[0,:].reshape(X.shape[1],X.shape[2]), B[1,:].reshape(X.shape[1],X.shape[2]), B[2,:].reshape(X.shape[1],X.shape[2])])
+# print('shape of Out', Out.shape)
+#
+# return Out
+
+
+# def translate_data(X, v): ...
+# #rotate about axis v with degree deg in radians:
+# # X : DataSet
+# print('ROTATE DATA FUNCTION ---------------')
+# # v = np.array([1,0,0])
+# # rotM = rot(v,np.pi/2)
+# # print('rotM:', rotM)
+#
+# print('X', X)
+# print('shape of X[0]', X.shape[0])
+#
+# Out = X + v
+# return Out
+
+
+def u(x,kappa,e):
+
+ tmp = (x.dot(e))*kappa
+ # print('tmp for u',tmp)
+ if kappa == 0 :
+ tmp = np.array([0*x[0], x[0]*e[0] + x[1]*e[1], x[1]*e[0] - x[0]*e[1] ])
+ else :
+ tmp = np.array([-(1/kappa)*np.cos(tmp)+(1/kappa), (1/kappa)*np.sin(tmp), -x[0]*e[1]+x[1]*e[0] ])
+ return tmp
+
+
+
+
+def grad_u(x,kappa,e):
+
+ tmp = (x.dot(e))*kappa
+ # print('tmp',tmp)
+
+ grad_u = np.array([ [np.sin(tmp)*e[0], np.sin(tmp)*e[1]], [np.cos(tmp)*e[0], np.cos(tmp)*e[1]], [-e[1], e[0]] ])
+ # print('produkt', grad_u.dot(e) )
+ mapped_e = grad_u.dot(e)
+ # print('mapped_e:', mapped_e)
+ # print('siize of mapped_e', mapped_e.shape)
+ # mapped_e = mapped_e.transpose()
+ # print('mapped_e:', mapped_e)
+ # print('siize of mapped_e', mapped_e.shape)
+ return mapped_e
+
+def compute_normal(x,kappa,e):
+ tmp = (x.dot(e))*kappa
+ partial1_u = np.array([ np.sin(tmp)*e[0] ,np.cos(tmp)*e[0], -e[1] ])
+ partial2_u = np.array([ np.sin(tmp)*e[1], np.cos(tmp)*e[1], e[0] ])
+ normal = np.cross(partial1_u,partial2_u)
+ # print('normal=',normal)
+ return normal
+
+
+
+class Annotation3D(Annotation):
+ def __init__(self, text, xyz, *args, **kwargs):
+ super().__init__(text, xy=(0, 0), *args, **kwargs)
+ self._xyz = xyz
+
+ def draw(self, renderer):
+ x2, y2, z2 = proj_transform(*self._xyz, self.axes.M)
+ self.xy = (x2, y2)
+ super().draw(renderer)
+
+def _annotate3D(ax, text, xyz, *args, **kwargs):
+ '''Add anotation `text` to an `Axes3d` instance.'''
+
+ annotation = Annotation3D(text, xyz, *args, **kwargs)
+ ax.add_artist(annotation)
+
+setattr(Axes3D, 'annotate3D', _annotate3D)
+
+class Arrow3D(FancyArrowPatch):
+
+ def __init__(self, x, y, z, dx, dy, dz, *args, **kwargs):
+ super().__init__((0, 0), (0, 0), *args, **kwargs)
+ self._xyz = (x, y, z)
+ self._dxdydz = (dx, dy, dz)
+
+ def draw(self, renderer):
+ x1, y1, z1 = self._xyz
+ dx, dy, dz = self._dxdydz
+ x2, y2, z2 = (x1 + dx, y1 + dy, z1 + dz)
+
+ xs, ys, zs = proj_transform((x1, x2), (y1, y2), (z1, z2), self.axes.M)
+ self.set_positions((xs[0], ys[0]), (xs[1], ys[1]))
+ super().draw(renderer)
+
+
+def _arrow3D(ax, x, y, z, dx, dy, dz, *args, **kwargs):
+ '''Add an 3d arrow to an `Axes3D` instance.'''
+
+ arrow = Arrow3D(x, y, z, dx, dy, dz, *args, **kwargs)
+ ax.add_artist(arrow)
+
+setattr(Axes3D, 'arrow3D', _arrow3D)
+################################################################################################################
+################################################################################################################
+################################################################################################################
+
+
+############################################################################################################################################
+####################################################################### KAPPA NEGATIVE ####################################################
+############################################################################################################################################
+kappa = -2
+num_Points = 200
+# num_Points = 100
+
+
+e = np.array([1,0])
+# e = np.array([0,1])
+# e = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# e = np.array([1/2,np.sqrt(3)/2])
+# e = np.array([np.sqrt(3)/2,1/2])
+# e = np.array([-1,0])
+# e = np.array([0,-1])
+
+# Creating dataset
+# x = np.linspace(-1.5,1.5,num_Points)
+x = np.linspace(-1,1,num_Points)
+y = np.linspace(-1/2,1/2,num_Points)
+
+print('type of x', type(x))
+print('max of x:', max(x))
+print('max of y:', max(y))
+# print('x:', x)
+
+x1, x2 = np.meshgrid(x,y)
+zero = 0*x1
+
+if kappa == 0 :
+ u1 = 0*x1
+ u2 = x1*e[0] + x2*e[1]
+ u3 = x2*e[0] - x1*e[1]
+
+else :
+ u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+ u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+ u3 = x2*e[0] -x1*e[1]
+
+# print('np.size(u1)',np.size(u1))
+# print('u1.shape',u1.shape)
+# colorfunction=(u1**2+u2**2)
+# print('colofunction',colorfunction)
+
+# print('u1.size:',np.size(u1))
+# tmp = np.ones(np.size(u1))*kappa
+# print('np.size(tmp)',np.size(tmp))
+B = np.full_like(u1, 1)
+# colorfunction=(u3) # TODO Color by angle
+# colorfunction=(np.ones(np.size(u1))*kappa)
+colorfunction=(B*kappa)
+# print('colofunction',colorfunction)
+norm=mcolors.Normalize(colorfunction.min(),colorfunction.max())
+
+
+# -----------------------------------------------------
+# Display the mesh
+fig = plt.figure()
+
+
+width = 6.28 *0.5
+# width = 6.28
+height = width / 1.618
+
+
+
+
+ax = plt.axes(projection ='3d', adjustable='box')
+
+
+###---TEST MAP e-vectprs!
+# e1 = np.array([1,0])
+# e2 = np.array([0,1])
+# e3 = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# e1 = np.array([0,1])
+# e2 = np.array([-1,0])
+# e3 = np.array([-1/np.sqrt(2),1/np.sqrt(2)])
+# e1_mapped = u(e1,kappa,e1)
+# e2_mapped = u(e2,kappa,e2)
+# e3_mapped = u(e3,kappa,e3)
+# print('e1 mapped:',e1_mapped)
+# print('e2 mapped:',e2_mapped)
+# print('e3 mapped:',e3_mapped)
+### -----------------------------------
+
+#--e1 :
+# Rotation_angle = -np.pi/2
+# Rotation_vector = np.array([0,1,0])
+
+#--e2:
+Rotation_angle = np.pi/2
+Rotation_vector = np.array([1,0,0])
+
+###--e = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# Rotation_angle = -np.pi/2
+# Rotation_vector = np.array([1,0,0])
+# #2te rotation :
+# Rotation_angle = np.pi/4
+# Rotation_vector = np.array([0,0,1])
+
+
+
+Rotation_angle = -np.pi/2
+Rotation_angle = 0
+# Rotation_angle = np.pi/2
+Rotation_vector = np.array([0,1,0])
+Rotation_vector = np.array([1,0,0])
+
+# rot(np.array([0,1,0]),np.pi/2)
+
+# ZERO ROTATION
+Rotation = rot(np.array([0,1,0]),0)
+
+
+
+# TEST :
+
+#DETERMINE ANGLE:
+angle = math.atan2(e[1], e[0])
+print('angle:', angle)
+
+## GENERAL TRANSFORMATION / ROTATION:
+Rotation = rot(np.array([0,0,1]),angle).dot(rot(np.array([0,1,0]),-np.pi/2))
+
+# Rotation = rot(np.array([0,0,1]),+np.pi/4).dot(Rotation)
+# Rotation = rot(np.array([0,0,1]),+np.pi/16).dot(Rotation)
+
+
+
+### if e1:
+Rotation = rot(np.array([0,0,1]),-np.pi/4).dot(Rotation)
+Rotation = rot(np.array([0,0,1]),+np.pi/16).dot(Rotation)
+
+# Add another rotation around z-axis:
+# Rotation = rot(np.array([0,0,1]),+np.pi).dot(Rotation)
+# Rotation = rot(np.array([0,0,1]),+np.pi/4).dot(Rotation)
+
+
+# Rotation = rot(np.array([0,0,1]),+np.pi/8).dot(Rotation)
+
+#e3 :
+# Rotation = rot(np.array([0,1,0]),-np.pi/2)
+# Rotation = rot(np.array([0,0,1]),np.pi/4).dot(rot(np.array([0,1,0]),-np.pi/2))
+
+# Rotation = rot(np.array([0,0,1]),np.pi/4)
+# Rotation = rot(np.array([1,0,0]),np.pi/4)
+#### if e1 :
+# Rotation = rot(np.array([0,1,0]),-np.pi/2)
+#### if e2:
+# Rotation = rot(np.array([0,1,0]),-np.pi/2).dot(rot(np.array([1,0,0]),-np.pi/2))
+# # #### if e3 :
+# zufall dass np.pi/4 genau dem Winkel angle alpha entspricht?:
+# (würde) bei e_2 keinen Unterschied machen um z achse zu rotieren?!
+
+# Rotation = rot(np.array([0,0,1]),np.pi/4).dot(rot(np.array([0,1,0]),-np.pi/2).dot(rot(np.array([1,0,0]),-np.pi/2)))
+# Rotation = rot(np.array([0,0,1]),np.pi/2).dot(rot(np.array([0,1,0]),-np.pi/2).dot(rot(np.array([1,0,0]),-np.pi/2)))
+
+# Rotation = rot(np.array([1,0,0]),np.pi/2)
+
+# Rotation_vector = e3_mapped #TEST
+# Rotation_vector = np.array([-1/np.sqrt(2),1/np.sqrt(2)])
+# Rotation_vector = np.array([0,0,1])
+
+# v = np.array([1,0,0])
+# X = np.array([u1,u2,u3])
+
+
+
+
+# T = rotate_data(np.array([u1,u2,u3]),Rotation_vector,Rotation_angle)
+T = rotate_data(np.array([u1,u2,u3]),Rotation)
+
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 2, cstride = 2, facecolors=cm.brg(colorfunction), alpha=.4, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.viridis(colorfunction), alpha=.4, zorder=4)
+ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.Spectral_r(colorfunction), alpha=.4, zorder=4)
+
+###---- PLOT PARAMETER-PLANE:
+# ax.plot_surface(x1,x2,zero,color = 'w', rstride = 1, cstride = 1 )
+
+
+print('------------------ Kappa : ', kappa)
+
+#midpoint:
+midpoint = np.array([(max(x)+min(x))/2,(max(y)+min(y))/2])
+print('midpoint',midpoint)
+
+# Map midpoint:
+midpoint_mapped = u(midpoint,kappa,e)
+print('mapped midpoint', midpoint_mapped)
+
+#map origin
+origin = np.array([0,0])
+origin_mapped = u(origin,kappa,e)
+
+
+mapped_e = grad_u(midpoint,kappa,e)
+normal = compute_normal(midpoint,kappa,e)
+
+print('mapped_e', mapped_e)
+print('normal',normal )
+
+#
+# mapped_e = Rotation.dot(mapped_e)
+# normal = Rotation.dot(normal)
+
+
+# Plot Mapped_midPoint
+ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], # data
+marker='o', # each marker will be rendered as a circle
+markersize=4, # marker size
+markerfacecolor='orange', # marker facecolor
+markeredgecolor='black', # marker edgecolor
+markeredgewidth=1, # marker edge width
+linewidth=1,
+zorder=4) # line width
+
+# ax.quiver([midpoint_mapped[0]], [midpoint_mapped[1]], [midpoint_mapped[2]], [mapped_e[0]], [mapped_e[1]], [mapped_e[2]], color="red")
+# ax.quiver([midpoint_mapped[0]], [midpoint_mapped[1]], [midpoint_mapped[2]], [normal[0]], [normal[1]], [normal[2]], color="blue")
+
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=15,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='green',
+# lw = 2,
+# ec ='green',
+# zorder=3)
+#
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# normal[0],normal[1],normal[2],
+# mutation_scale=15,
+# lw = 2,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue',
+# zorder = 3)
+
+
+###-- TEST Rotation :
+# v = np.array([1,0,0])
+# t = np.array([0,1,0])
+#
+# ax.arrow3D(0,0,0,
+# t[0],t[1],t[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue')
+#
+# # e_extend
+#
+# rotM = rot(v,np.pi/2)
+#
+# print('rotM:', rotM)
+#
+# rot_t = rotM.dot(t)
+#
+# print('rot_t:', rot_t)
+#
+# ax.arrow3D(0,0,0,
+# rot_t[0],rot_t[1],rot_t[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue')
+
+### -------------------------------------------
+
+############################################################################################################################################
+####################################################################### KAPPA POSITIVE ####################################################
+############################################################################################################################################
+
+kappa = (-1)*kappa
+
+if kappa == 0 :
+ u1 = 0*x1
+ u2 = x1*e[0] + x2*e[1]
+ u3 = x2*e[0] - x1*e[1]
+else :
+ u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+ u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+ u3 = x2*e[0] -x1*e[1]
+# ax.plot_surface(u1, u2, u3, color = 'w', rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.3) ##This one!
+
+
+# T = rotate_data(X,Rotation_vector,Rotation_angle)
+
+T = rotate_data(np.array([u1,u2,u3]),Rotation)
+# T = rotate_data(T,np.array([0,1,0]),Rotation_angle)
+# T = rotate_data(T,np.array([0,0,1]),-1*Rotation_angle/2)
+
+
+
+## GET COLORS :
+# deep_colors = sns.color_palette("pastel")
+# print('deep_colors.as_hex():',deep_colors.as_hex())
+#
+#
+# diverging_colors = sns.color_palette("RdBu", 10)
+# print('diverging_colors.as_hex():',diverging_colors.as_hex())
+#
+# pal = sns.color_palette("Blues")
+# pal = sns.color_palette()
+# print(pal.as_hex())
+#
+# # flatui = ["#9b59b6", "#3498db", "#95a5a6", "#e74c3c", "#34495e", "#2ecc71"]
+# flatui = ["coral","white", "cornflowerblue"]
+# flatui = ["cornflowerblue", "coral"]
+# # flatui = ['#4c72b0','white', '#c44e52']
+# # flatui = ['#4c72b0','white', '#8de5a1']
+# # flatui = ['#a1c9f4', '#ffb482','#ff9f9b'] #Test colors
+# # flatui = ['#4c72b0','white', '#ffb482']
+# # flatui = ['#4c72b0','white', '#ff9f9b']
+# # flatui = ['#4c72b0','white', '#ab162a']
+#
+# # flatui = ['#4c72b0','white', '#eb9172']
+# # flatui = ['#4c72b0','white', '#64b5cd']
+# # cmap = mpl.colors.ListedColormap(sns.color_palette(flatui).as_hex())
+# # cmap = mpl.colors.ListedColormap(sns.color_palette(flatui).as_hex())
+# # cmap = mpl.colors.ListedColormap(sns.color_palette("RdBu_r", 10).as_hex())
+# # cmap = mpl.colors.ListedColormap(sns.color_palette("coolwarm", 10).as_hex()) #Discrete CMAP
+# # cmap = sns.color_palette("coolwarm", as_cmap=True)
+# # cmap = sns.color_palette("RdBu_r", as_cmap=True)
+#
+# # cmap=plt.cm.gnuplot
+# # cmap = sns.color_palette("vlag", as_cmap=True)
+# # cmap = sns.color_palette("icefire", as_cmap=True) ## THIS !
+# # cmap = sns.color_palette("Spectral_r", as_cmap=True)
+# # cmap = sns.color_palette("cubehelix", as_cmap=True)
+#
+# # cmap = sns.color_palette("flare_r", as_cmap=True)
+# cmap = sns.color_palette("gnuplot", as_cmap=True)
+# cmap = sns.color_palette("plasma", as_cmap=True)
+# cmap = sns.diverging_palette(220, 20, as_cmap=True)
+# cmap = sns.diverging_palette(250, 30, l=65, center="dark", as_cmap=True)
+# cmap = mpl.colors.ListedColormap(sns.color_palette().as_hex())
+# # cmap = mpl.colors.LinearSegmentedColormap.from_list("", sns.color_palette(flatui).as_hex())
+# cmap = mpl.colors.ListedColormap("", sns.color_palette(flatui).as_hex())
+# cmap = mpl.colors.LinearSegmentedColormap.from_list("", ["orange"])
+
+
+
+
+
+# cmaps = cmap(colorfunction)
+
+# cmap = plt.cm.Spectral(colorfunction)
+# # cmap = plt.cm.coolwarm(colorfunction)
+# cmap = plt.cm.coolwarm_r(colorfunction)
+cmap = plt.cm.bwr_r(colorfunction)
+# cmap = plt.cm.PiYG(colorfunction)
+# cmap = plt.cm.seismic_r(colorfunction)
+# cmap = plt.cm.hsv(colorfunction)
+
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, antialiased=False)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, antialiased=True)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 2, cstride = 2, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4)
+ax.plot_surface(T[0], T[1], T[2], rstride = 2, cstride = 2, facecolors=cmap, alpha=.4, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=.4, zorder=4, shade=True)
+# ax.plot_surface(T[0], T[1], T[2], color = 'w', rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=0.8, zorder=4)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, facecolors=cm.autumn(colorfunction), alpha=1, zorde5r=5)
+
+# midpoint = np.array([(max(x)+min(x))/2,(max(y)+min(y))/2])
+# print('midpoint',midpoint)
+print('------------------ Kappa : ', kappa)
+# Map midpoint:
+midpoint_mapped = u(midpoint,kappa,e)
+print('mapped midpoint', midpoint_mapped)
+
+#map origin
+origin = np.array([0,0])
+origin_mapped = u(origin,kappa,e)
+
+
+mapped_e = grad_u(midpoint,kappa,e)
+normal = compute_normal(midpoint,kappa,e)
+
+print('mapped_e', mapped_e)
+print('normal',normal )
+
+
+#
+mapped_e = Rotation.dot(mapped_e)
+normal = Rotation.dot(normal)
+
+
+# ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], color='black', markersize=10,marker='o', zorder=5)
+ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], # data
+marker='o', # each marker will be rendered as a circle
+markersize=4, # marker size
+markerfacecolor='orange', # marker facecolor
+markeredgecolor='black', # marker edgecolor
+markeredgewidth=1, # marker edge width
+linewidth=1,
+zorder=5) # line width
+# ax.scatter3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], color='black', s=100, zorder=5)
+
+
+# mapped_e = grad_u(midpoint,kappa,e)
+# normal = compute_normal(midpoint,kappa,e)
+
+
+ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+ mapped_e[0],mapped_e[1],mapped_e[2],
+ mutation_scale=15,
+ arrowstyle="-|>",
+ linestyle='dashed',fc='limegreen',
+ # linestyle='dashed',fc='green',
+ lw = 1.5,
+ ec ='limegreen',
+ zorder=5)
+
+ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+ normal[0],normal[1],normal[2],
+ mutation_scale=15,
+ lw = 1.5,
+ arrowstyle="-|>",
+ linestyle='dashed',fc='royalblue',
+ # linestyle='dashed',fc='yellow',
+ ec ='royalblue',
+ # ec ='orange',
+ zorder = 5)
+
+
+############################################################################################################################################
+####################################################################### KAPPA ZERO #########################################################
+############################################################################################################################################
+kappa = 0
+
+if kappa == 0 :
+ u1 = 0*x1
+ u2 = x1*e[0] + x2*e[1]
+ u3 = x2*e[0] - x1*e[1]
+else :
+ u1 = -(1/kappa)*np.cos(kappa*(x1*e[0]+x2*e[1])) + (1/kappa)
+ u2 = (1/kappa)*np.sin(kappa*(x1*e[0]+x2*e[1]))
+ u3 = x2*e[0] -x1*e[1]
+# ax.plot_surface(u1, u2, u3, rstride = 1, cstride = 1, color = 'white', alpha=0.85)
+
+# T = rotate_data(np.array([u1,u2,u3]),Rotation_vector,Rotation_angle)
+
+T = rotate_data(np.array([u1,u2,u3]),Rotation)
+# T = rotate_data(T,np.array([0,1,0]),Rotation_angle)
+# T = rotate_data(T,np.array([0,0,1]),-1*Rotation_angle/2)
+
+
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, color = 'white', alpha=0.55, zorder=2, antialiased=True)
+# ax.plot_surface(T[0], T[1], T[2], rstride =1 , cstride = 1, color = 'white', alpha=0.55, zorder=3)
+
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, color = 'white', alpha=0.55, zorder=2)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 1, cstride = 1, color = 'white', alpha=0.5, zorder=2, antialiased=True)
+ax.plot_surface(T[0], T[1], T[2], rstride = 10, cstride = 10, color = 'white', alpha=0.55, zorder=2)
+# ax.plot_surface(T[0], T[1], T[2], rstride = 20, cstride = 20, color = 'gray', alpha=0.35, zorder=1, shade=True)
+# ax.plot_surface(T[0], T[1], T[2], color = 'white', alpha=0.55, zorder=2)
+
+# midpoint = np.array([(max(x)+min(x))/2,(max(y)+min(y))/2])
+mapped_e = grad_u(midpoint,kappa,e)
+normal_zeroCurv = compute_normal(midpoint,kappa,e)
+
+# Map midpoint:
+midpoint_mapped = u(midpoint,kappa,e)
+print('mapped midpoint', midpoint_mapped)
+
+##----- PLOT MAPPED MIDPOINT :::
+
+ax.plot(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2], # data
+marker='o', # each marker will be rendered as a circle
+markersize=4, # marker size
+markerfacecolor='orange', # marker facecolor
+markeredgecolor='black', # marker edgecolor
+markeredgewidth=1, # marker edge width
+# linestyle='--', # line style will be dash line
+linewidth=1,
+zorder=5)
+
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# mapped_e[0],mapped_e[1],mapped_e[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='red',
+# ec ='red')
+#
+# ax.arrow3D(midpoint_mapped[0],midpoint_mapped[1],midpoint_mapped[2],
+# normal_zeroCurv[0],normal_zeroCurv[1],normal_zeroCurv[2],
+# mutation_scale=10,
+# arrowstyle="-|>",
+# linestyle='dashed',fc='blue',
+# ec ='blue')
+
+
+##---------- PLOT MAPPED ORIGIN :::
+# origin = np.array([0,0])
+# origin_mapped = u(origin,kappa,e)
+# print('origin_mapped', origin_mapped)
+#
+# ax.plot(origin_mapped[0],origin_mapped[1],origin_mapped[2], # data
+# marker='o', # each marker will be rendered as a circle
+# markersize=4, # marker size
+# markerfacecolor='green', # marker facecolor
+# markeredgecolor='black', # marker edgecolor
+# markeredgewidth=1, # marker edge width
+# linewidth=1,
+# zorder=5) # line width
+#
+# # rotate mapped origin
+# # v = np.array([1,0,0])
+# # alpha = Rotation_angle
+#
+# rotM = rot(Rotation_vector,Rotation_angle)
+# # origin_mRot = rotate_data(origin_mapped,v,alpha)
+# origin_mRot = rotM.dot(origin_mapped)
+# print('origin_mapped Rotated', origin_mRot)
+#
+# # --- Compute Distance to Origin 3D
+# origin_3D=np.array([0,0,0])
+# distance = origin_mapped-origin_3D
+# print('distance', distance)
+
+## --------------------------------------------------------
+
+# COMPUTE ANGLE WITH Z AXIS
+z = np.array([0,0,1])
+print('test', normal_zeroCurv*z)
+angle_z = np.arccos(normal_zeroCurv.dot(z) /( (np.linalg.norm(z)*np.linalg.norm(normal_zeroCurv) ) ))
+print('angle between normal and z-axis', angle_z)
+
+## unfinished...
+
+
+
+
+###------------------------------------- PLOT :
+plt.axis('off')
+# plt.axis('tight')
+
+# ADD colorbar
+# scamap = plt.cm.ScalarMappable(cmap='inferno')
+# fig.colorbar(scamap)
+
+# ax.colorbar()
+# ax.axis('auto')
+# ax.set_title(r'Cylindrical minimizer_$\kappa$='+ str(kappa)+ '_$e$=' + str(e))
+# ax.set_title(r'Cylindrical minimizer' + '_$e$=' + str(e))
+ax.set_xlabel(r"x-axis")
+ax.set_ylabel(r"y-axis")
+ax.set_zlabel(r"z-axis")
+
+# TEST :
+# ax.annotate3D('point 1', (0, 0, 0), xytext=(3, 3), textcoords='offset points')
+# ax.annotate3D('point 2', (0, 1, 0),
+# xytext=(-30, -30),
+# textcoords='offset points',
+# arrowprops=dict(ec='black', fc='white', shrink=2.5))
+# ax.annotate3D('point 3', (0, 0, 1),
+# xytext=(30, -30),
+# textcoords='offset points',
+# bbox=dict(boxstyle="round", fc="lightyellow"),
+# arrowprops=dict(arrowstyle="-|>", ec='black', fc='white', lw=5))
+
+#######################################################################################################################
+
+u1 = T[0]
+u2 = T[1]
+u3 = T[2]
+
+max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /3
+# max_range = np.array([u1.max()-u1.min(), u2.max()-u2.min(), u3.max()-u3.min()]).max() /2
+mid_u1 = (u1.max()+u1.min()) * 0.5
+mid_u2 = (u2.max()+u2.min()) * 0.5
+mid_u3 = (u3.max()+u3.min()) * 0.5
+
+
+ax.set_xlim(mid_u1 - max_range, mid_u1 + max_range)
+ax.set_ylim(mid_u2 - max_range, mid_u2 + max_range)
+ax.set_zlim(mid_u3 - max_range, mid_u3 + max_range)
+
+
+
+
+
+
+
+
+##----- CHANGE CAMERA POSITION:
+# ax.view_init(elev=10., azim=0)
+# ax.view_init(elev=38, azim=90)
+# ax.view_init(elev=38, azim=120)
+# ax.view_init(elev=38)
+
+# if e1 ::
+# ax.view_init(elev=44)
+# ax.view_init(elev=38, azim=-90)
+# ax.view_init(elev=38, azim=0)
+
+
+# if e3 ::
+ax.view_init(elev=25)
+
+# ax.set_xlim3d(-2, 2)
+# ax.set_ylim3d(-1.0,3.0)
+# ax.set_zlim3d(-1.5,2.5)
+
+# ax.set_ylim3d(-10,10)
+# ax.set_xlim(mid_u1 - max_range-0.2, mid_u1 + max_range+0.2)
+# ax.set_zlim(mid_u3 - max_range-0.2, mid_u3 + max_range+0.2)
+# ax.set_ylim(mid_u2 - max_range-0.2, mid_u2 + max_range+0.2)
+
+# width = 6.28 *0.5
+# height = width / 1.618
+# # height = width / 2.5
+# fig.set_size_inches(width, height)
+# fig.savefig('Test-Cylindrical.pdf')
+
+# Figurename = r'Cylindrical minimizer_$\kappa$='+ str(kappa)+ '_$e$=' + str(e)
+Figurename = r'Cylindrical minimizer' + '_$e$=' + str(e)
+# plt.savefig("test.png", bbox_inches='tight')
+# plt.figure().set_size_inches(width, height)
+# plt.set_size_inches(width, height)
+
+
+# fig.set_size_inches(width, height)
+# fig.savefig(Figurename+".pdf")
+
+plt.savefig(Figurename+".png", bbox_inches='tight')
+# plt.savefig(Figurename+".png")
+plt.show()
+
+
+
+# #---------------------------------------------------------------
diff --git a/src/CylindricalMinimizer-Plot_v2.py b/Python-Scripts/CylindricalMinimizer-Plot_v2.py
similarity index 99%
rename from src/CylindricalMinimizer-Plot_v2.py
rename to Python-Scripts/CylindricalMinimizer-Plot_v2.py
index ec33bbf9..76125d09 100644
--- a/src/CylindricalMinimizer-Plot_v2.py
+++ b/Python-Scripts/CylindricalMinimizer-Plot_v2.py
@@ -228,8 +228,8 @@ num_Points = 100
e = np.array([1,0])
-e = np.array([0,1])
-e = np.array([1/np.sqrt(2),1/np.sqrt(2)])
+# e = np.array([0,1])
+# e = np.array([1/np.sqrt(2),1/np.sqrt(2)])
# e = np.array([1/2,np.sqrt(3)/2])
# e = np.array([np.sqrt(3)/2,1/2])
# e = np.array([-1,0])
diff --git a/src/Energy_ContourG+.py b/Python-Scripts/Energy_ContourG+.py
similarity index 100%
rename from src/Energy_ContourG+.py
rename to Python-Scripts/Energy_ContourG+.py
diff --git a/src/Energy_ContourG+_plotly.py b/Python-Scripts/Energy_ContourG+_plotly.py
similarity index 100%
rename from src/Energy_ContourG+_plotly.py
rename to Python-Scripts/Energy_ContourG+_plotly.py
diff --git a/src/Energy_ContourG+_v2.py b/Python-Scripts/Energy_ContourG+_v2.py
similarity index 100%
rename from src/Energy_ContourG+_v2.py
rename to Python-Scripts/Energy_ContourG+_v2.py
diff --git a/src/Energy_ContourG+_v3.py b/Python-Scripts/Energy_ContourG+_v3.py
similarity index 100%
rename from src/Energy_ContourG+_v3.py
rename to Python-Scripts/Energy_ContourG+_v3.py
diff --git a/src/Energy_ContourG+_v3_plotSurf.py b/Python-Scripts/Energy_ContourG+_v3_plotSurf.py
similarity index 100%
rename from src/Energy_ContourG+_v3_plotSurf.py
rename to Python-Scripts/Energy_ContourG+_v3_plotSurf.py
diff --git a/src/Energy_ContourG+_v4.py b/Python-Scripts/Energy_ContourG+_v4.py
similarity index 98%
rename from src/Energy_ContourG+_v4.py
rename to Python-Scripts/Energy_ContourG+_v4.py
index 73996537..75121987 100644
--- a/src/Energy_ContourG+_v4.py
+++ b/Python-Scripts/Energy_ContourG+_v4.py
@@ -520,8 +520,8 @@ print('----------------------------')
case = 'a'
-case = 'b'
-case = 'c'
+# case = 'b'
+# case = 'c'
@@ -972,8 +972,18 @@ if case == 'c':
(1, 1), (0.5, 0.5),(1.5,1.5),(1.75,1.75),(-0.2,0.2), (-0.5,-0.5),
(-1,-1),(-1.25,-1.25), (-1.5,-1.5)]
ax.clabel(CS, inline=True, fontsize=9, colors='black', manual=manual_locations)
-else :
- ax.clabel(CS, inline=True, fontsize=9, colors='black', zorder=5)
+if case == 'b':
+ manual_locations = [
+ (0.5, 0.5),(-0.2,0.2),(-0.2,-0.2),(-0.5,-0.5), (-0.75,-0.75),
+ (-1,-1),(-1.25,-1.25), (-1.5,-1.5)]
+ ax.clabel(CS, inline=True, fontsize=9, colors='black', manual=manual_locations)
+if case == 'a':
+ manual_locations = [
+ (1.8,1.8),(1.5,1.5) , (1, 1.5),(-1,0.25),(-0.75,-0.75),
+ (-1,-1),(-1.25,-1.25), (-1.5,-1.5)]
+ ax.clabel(CS, inline=True, fontsize=9, colors='black', manual=manual_locations)
+# else :
+# ax.clabel(CS, inline=True, fontsize=9, colors='black', zorder=5)
# GAMMA = inf
# manual_locations = [
diff --git a/src/HelperFunctions.py b/Python-Scripts/HelperFunctions.py
similarity index 100%
rename from src/HelperFunctions.py
rename to Python-Scripts/HelperFunctions.py
diff --git a/src/PhaseDiagram.py b/Python-Scripts/PhaseDiagram.py
similarity index 98%
rename from src/PhaseDiagram.py
rename to Python-Scripts/PhaseDiagram.py
index 5e94d7e2..0d6ff15a 100644
--- a/src/PhaseDiagram.py
+++ b/Python-Scripts/PhaseDiagram.py
@@ -181,9 +181,9 @@ print('----------------------------')
print('type of gamma:', type(gamma))
# # #
# Gamma_Values = ['0', 'infinity']
-Gamma_Values = ['infinity']
+# Gamma_Values = ['infinity']
Gamma_Values = ['0']
-
+# Gamma_Values = [ 'infinity','0']
print('(Input) Gamma_Values:', Gamma_Values)
for gamma in Gamma_Values:
@@ -249,10 +249,10 @@ for gamma in Gamma_Values:
# SamplePoints_3D = 10 # Number of sample points in each direction
# SamplePoints_2D = 10 # Number of sample points in each direction
- SamplePoints_3D = 300 # Number of sample points in each direction
- SamplePoints_3D = 150 # Number of sample points in each direction
+ # SamplePoints_3D = 300 # Number of sample points in each direction
+ # SamplePoints_3D = 150 # Number of sample points in each direction
SamplePoints_3D = 100 # Number of sample points in each direction
- # SamplePoints_3D = 50 # Number of sample points in each direction
+ # # SamplePoints_3D = 50 # Number of sample points in each direction
# SamplePoints_3D = 25 # Number of sample points in each direction
# SamplePoints_3D = 200 # Number of sample points in each direction
# SamplePoints_3D = 400 # Number of sample points in each direction
diff --git a/src/PhaseDiagram_Contour.py b/Python-Scripts/PhaseDiagram_Contour.py
similarity index 100%
rename from src/PhaseDiagram_Contour.py
rename to Python-Scripts/PhaseDiagram_Contour.py
diff --git a/src/PhaseDiagram_ContourSubPlots.py b/Python-Scripts/PhaseDiagram_ContourSubPlots.py
similarity index 100%
rename from src/PhaseDiagram_ContourSubPlots.py
rename to Python-Scripts/PhaseDiagram_ContourSubPlots.py
diff --git a/src/PhaseDiagram_ContourSubPlots_v2.py b/Python-Scripts/PhaseDiagram_ContourSubPlots_v2.py
similarity index 100%
rename from src/PhaseDiagram_ContourSubPlots_v2.py
rename to Python-Scripts/PhaseDiagram_ContourSubPlots_v2.py
diff --git a/src/PhaseDiagram_Contour_v2.py b/Python-Scripts/PhaseDiagram_Contour_v2.py
similarity index 100%
rename from src/PhaseDiagram_Contour_v2.py
rename to Python-Scripts/PhaseDiagram_Contour_v2.py
diff --git a/src/PhaseDiagram_CurvContourSubPlots.py b/Python-Scripts/PhaseDiagram_CurvContourSubPlots.py
similarity index 100%
rename from src/PhaseDiagram_CurvContourSubPlots.py
rename to Python-Scripts/PhaseDiagram_CurvContourSubPlots.py
diff --git a/src/PhaseDiagram_CurvContourSubPlots_Jumps.py b/Python-Scripts/PhaseDiagram_CurvContourSubPlots_Jumps.py
similarity index 100%
rename from src/PhaseDiagram_CurvContourSubPlots_Jumps.py
rename to Python-Scripts/PhaseDiagram_CurvContourSubPlots_Jumps.py
diff --git a/src/PhaseDiagram_CurvContourSubPlots_v2.py b/Python-Scripts/PhaseDiagram_CurvContourSubPlots_v2.py
similarity index 100%
rename from src/PhaseDiagram_CurvContourSubPlots_v2.py
rename to Python-Scripts/PhaseDiagram_CurvContourSubPlots_v2.py
diff --git a/src/PhaseDiagram_CurvContourSubPlots_v3.py b/Python-Scripts/PhaseDiagram_CurvContourSubPlots_v3.py
similarity index 100%
rename from src/PhaseDiagram_CurvContourSubPlots_v3.py
rename to Python-Scripts/PhaseDiagram_CurvContourSubPlots_v3.py
diff --git a/src/PhaseDiagram_PlotScript.py b/Python-Scripts/PhaseDiagram_PlotScript.py
similarity index 100%
rename from src/PhaseDiagram_PlotScript.py
rename to Python-Scripts/PhaseDiagram_PlotScript.py
diff --git a/src/PhaseDiagram_PlotScriptV2.py b/Python-Scripts/PhaseDiagram_PlotScriptV2.py
similarity index 100%
rename from src/PhaseDiagram_PlotScriptV2.py
rename to Python-Scripts/PhaseDiagram_PlotScriptV2.py
diff --git a/src/PhaseDiagram_PlotScriptV3.py b/Python-Scripts/PhaseDiagram_PlotScriptV3.py
similarity index 100%
rename from src/PhaseDiagram_PlotScriptV3.py
rename to Python-Scripts/PhaseDiagram_PlotScriptV3.py
diff --git a/src/PhaseDiagram_PlotScriptV4.py b/Python-Scripts/PhaseDiagram_PlotScriptV4.py
similarity index 100%
rename from src/PhaseDiagram_PlotScriptV4.py
rename to Python-Scripts/PhaseDiagram_PlotScriptV4.py
diff --git a/src/PhaseDiagram_PlotScriptV4_shifted.py b/Python-Scripts/PhaseDiagram_PlotScriptV4_shifted.py
similarity index 100%
rename from src/PhaseDiagram_PlotScriptV4_shifted.py
rename to Python-Scripts/PhaseDiagram_PlotScriptV4_shifted.py
diff --git a/src/PhaseDiagram_PlotScript_BetaSmallerOne.py b/Python-Scripts/PhaseDiagram_PlotScript_BetaSmallerOne.py
similarity index 100%
rename from src/PhaseDiagram_PlotScript_BetaSmallerOne.py
rename to Python-Scripts/PhaseDiagram_PlotScript_BetaSmallerOne.py
diff --git a/Python-Scripts/PhaseDiagram_PlotScript_Gamma0_Curvature_shifted.py b/Python-Scripts/PhaseDiagram_PlotScript_Gamma0_Curvature_shifted.py
new file mode 100644
index 00000000..26248e93
--- /dev/null
+++ b/Python-Scripts/PhaseDiagram_PlotScript_Gamma0_Curvature_shifted.py
@@ -0,0 +1,903 @@
+# To ensure correct image size when batch processing, please search
+# for and uncomment the line `# renderView*.ViewSize = [*,*]`
+
+#### import the simple module from the paraview
+from paraview.simple import *
+#### disable automatic camera reset on 'Show'
+paraview.simple._DisableFirstRenderCameraReset()
+
+#--- Run in Terminal with: 'pvbatch PhaseDiagram_PlotScript.py'
+
+
+# ----- CREATE A Phase Diagram for the following cases:
+# 1. (Hyperbolic Case) Gamma = '0'
+# 2. (Elliptic Case) Gamma = 'infinity'
+#
+# case = 1
+# case = 2
+
+
+#### RESET SESSION :
+ResetSession()
+
+
+
+## CHANGE FONT :
+# find settings proxy
+generalSettings = GetSettingsProxy('GeneralSettings')
+
+# Properties modified on generalSettings
+generalSettings.OverrideFont = 0
+
+
+# drawLine = False
+# # hide_redcolor = True
+# hide_redcolor = False
+# # hide_legend = True
+# hide_legend = False
+
+
+isosurface = False
+
+
+
+
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_150SP.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_300SP.vts'])
+
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstruscture/outputs/PhaseDiagram3DGamma0_shifted_150SP.vts'])
+phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0_shifted_300SP.vts'])
+
+
+phaseDiagram3DGammainfinityvts.PointArrayStatus = ['Type', 'angles', 'curvature']
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+# uncomment following to set a specific view size
+# renderView1.ViewSize = [999, 547]
+
+## ---- Set a specific view size:
+renderView1.ViewSize = [1257, 934]
+
+# show data in view
+phaseDiagram3DGammainfinityvtsDisplay = Show(phaseDiagram3DGammainfinityvts, renderView1)
+
+### -------------------------------------
+
+
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# create a new 'Transform'
+transform1 = Transform(registrationName='Transform1', Input=xMLStructuredGridReader1)
+transform1.Transform = 'Transform'
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# show data in view
+transform1Display = Show(transform1, renderView1, 'StructuredGridRepresentation')
+
+# trace defaults for the display properties.
+transform1Display.Representation = 'Outline'
+transform1Display.ColorArrayName = ['POINTS', '']
+transform1Display.SelectTCoordArray = 'None'
+transform1Display.SelectNormalArray = 'None'
+transform1Display.SelectTangentArray = 'None'
+transform1Display.OSPRayScaleArray = 'Type'
+transform1Display.OSPRayScaleFunction = 'PiecewiseFunction'
+transform1Display.SelectOrientationVectors = 'None'
+transform1Display.ScaleFactor = 2.0
+transform1Display.SelectScaleArray = 'Type'
+transform1Display.GlyphType = 'Arrow'
+transform1Display.GlyphTableIndexArray = 'Type'
+transform1Display.GaussianRadius = 0.1
+transform1Display.SetScaleArray = ['POINTS', 'Type']
+transform1Display.ScaleTransferFunction = 'PiecewiseFunction'
+transform1Display.OpacityArray = ['POINTS', 'Type']
+transform1Display.OpacityTransferFunction = 'PiecewiseFunction'
+transform1Display.DataAxesGrid = 'GridAxesRepresentation'
+transform1Display.PolarAxes = 'PolarAxesRepresentation'
+transform1Display.ScalarOpacityUnitDistance = 0.1852592630607038
+
+# init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
+transform1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
+transform1Display.ScaleTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
+transform1Display.OpacityTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# hide data in view
+Hide(xMLStructuredGridReader1, renderView1)
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+
+# Properties modified on transform1.Transform
+transform1.Transform.Scale = [0.05, 0.05, 1.0]
+
+# Properties modified on transform1.Transform
+transform1.Transform.Translate = [0.0, 0.0, 0.01]
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+# reset view to fit data
+renderView1.ResetCamera(True)
+
+# toggle 3D widget visibility (only when running from the GUI)
+Hide3DWidgets(proxy=transform1.Transform)
+
+# change representation type
+transform1Display.SetRepresentationType('Point Gaussian')
+
+# Properties modified on transform1Display
+transform1Display.GaussianRadius = 0.0075
+
+
+# transform1Display.Opacity = 0.03 #overall Opacity
+# transform1Display.Opacity = 0.02 #overall Opacity
+transform1Display.Opacity = 0.01 #overall Opacity
+
+# Properties modified on transform1Display
+transform1Display.ShaderPreset = 'Plain circle'
+
+# set scalar coloring
+ColorBy(transform1Display, ('POINTS', 'angles'))
+
+# rescale color and/or opacity maps used to include current data range
+transform1Display.RescaleTransferFunctionToDataRange(True, False)
+
+# show color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, True)
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.RGBPoints = [0.0, 0.001462, 0.000466, 0.013866, 0.006160663193689554, 0.002258, 0.001295, 0.018331, 0.012319755591052443, 0.003279, 0.002305, 0.023708, 0.018480418784742, 0.004512, 0.00349, 0.029965, 0.024639511182104886, 0.00595, 0.004843, 0.03713, 0.03080017437579444, 0.007588, 0.006356, 0.044973, 0.03695926677315698, 0.009426, 0.008022, 0.052844, 0.043119929966846535, 0.011465, 0.009828, 0.06075, 0.04928059316053644, 0.013708, 0.011771, 0.068667, 0.05543968555789898, 0.016156, 0.01384, 0.076603, 0.061600348751588534, 0.018815, 0.016026, 0.084584, 0.06775944114895142, 0.021692, 0.01832, 0.09261, 0.07392010434264097, 0.024792, 0.020715, 0.100676, 0.08007919674000387, 0.028123, 0.023201, 0.108787, 0.08623985993369342, 0.031696, 0.025765, 0.116965, 0.09240052312738298, 0.03552, 0.028397, 0.125209, 0.09855961552474586, 0.039608, 0.03109, 0.133515, 0.10472027871843542, 0.04383, 0.03383, 0.141886, 0.1108793711157983, 0.048062, 0.036607, 0.150327, 0.11704003430948787, 0.05232, 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0.393995, 0.979437062850095, 0.899552, 0.314616, 0.391037, 0.9855977260437846, 0.904281, 0.31961, 0.388137, 0.9917583892374742, 0.908884, 0.324755, 0.385308, 0.9979174816348371, 0.913354, 0.330052, 0.382563, 1.0040781448285265, 0.917689, 0.3355, 0.379915, 1.0102372372258892, 0.921884, 0.341098, 0.377376, 1.0163979004195791, 0.925937, 0.346844, 0.374959, 1.022556992816942, 0.929845, 0.352734, 0.372677, 1.0287176560106313, 0.933606, 0.358764, 0.370541, 1.034878319204321, 0.937221, 0.364929, 0.368567, 1.0410374116016838, 0.940687, 0.371224, 0.366762, 1.047198074795373, 0.944006, 0.377643, 0.365136, 1.053357167192736, 0.94718, 0.384178, 0.363701, 1.0595178303864259, 0.95021, 0.39082, 0.362468, 1.0656769227837886, 0.953099, 0.397563, 0.361438, 1.071837585977478, 0.955849, 0.4044, 0.360619, 1.0779982491711675, 0.958464, 0.411324, 0.360014, 1.0841573415685304, 0.960949, 0.418323, 0.35963, 1.09031800476222, 0.96331, 0.42539, 0.359469, 1.096477097159583, 0.965549, 0.432519, 0.359529, 1.1026377603532722, 0.967671, 0.439703, 0.35981, 1.108796852750635, 0.96968, 0.446936, 0.360311, 1.114957515944325, 0.971582, 0.45421, 0.36103, 1.121116608341688, 0.973381, 0.46152, 0.361965, 1.127277271535377, 0.975082, 0.468861, 0.363111, 1.1334379347290668, 0.97669, 0.476226, 0.364466, 1.1395970271264295, 0.97821, 0.483612, 0.366025, 1.145757690320119, 0.979645, 0.491014, 0.367783, 1.1519167827174819, 0.981, 0.498428, 0.369734, 1.1580774459111713, 0.982279, 0.505851, 0.371874, 1.164236538308534, 0.983485, 0.51328, 0.374198, 1.170397201502224, 0.984622, 0.520713, 0.376698, 1.1765578646959134, 0.985693, 0.528148, 0.379371, 1.182716957093276, 0.9867, 0.535582, 0.38221, 1.188877620286966, 0.987646, 0.543015, 0.38521, 1.1950367126843289, 0.988533, 0.550446, 0.388365, 1.201197375878018, 0.989363, 0.557873, 0.391671, 1.2073564682753808, 0.990138, 0.565296, 0.395122, 1.2135171314690707, 0.990871, 0.572706, 0.398714, 1.21967779466276, 0.991558, 0.580107, 0.402441, 1.2258368870601228, 0.992196, 0.587502, 0.406299, 1.2319975502538125, 0.992785, 0.594891, 0.410283, 1.2381566426511754, 0.993326, 0.602275, 0.41439, 1.2443173058448649, 0.993834, 0.609644, 0.418613, 1.2504763982422278, 0.994309, 0.616999, 0.42295, 1.2566370614359172, 0.994738, 0.62435, 0.427397, 1.262797724629607, 0.995122, 0.631696, 0.431951, 1.2689568170269698, 0.99548, 0.639027, 0.436607, 1.275117480220659, 0.99581, 0.646344, 0.441361, 1.2812765726180217, 0.996096, 0.653659, 0.446213, 1.2874372358117117, 0.996341, 0.660969, 0.45116, 1.2935963282090743, 0.99658, 0.668256, 0.456192, 1.2997569914027638, 0.996775, 0.675541, 0.461314, 1.3059176545964537, 0.996925, 0.682828, 0.466526, 1.3120767469938164, 0.997077, 0.690088, 0.471811, 1.3182374101875058, 0.997186, 0.697349, 0.477182, 1.3243965025848687, 0.997254, 0.704611, 0.482635, 1.3305571657785582, 0.997325, 0.711848, 0.488154, 1.3367162581759209, 0.997351, 0.719089, 0.493755, 1.3428769213696108, 0.997351, 0.726324, 0.499428, 1.3490375845633003, 0.997341, 0.733545, 0.505167, 1.355196676960663, 0.997285, 0.740772, 0.510983, 1.3613573401543528, 0.997228, 0.747981, 0.516859, 1.3675164325517157, 0.997138, 0.75519, 0.522806, 1.3736770957454048, 0.997019, 0.762398, 0.528821, 1.3798361881427677, 0.996898, 0.769591, 0.534892, 1.3859968513364576, 0.996727, 0.776795, 0.541039, 1.3921575145301468, 0.996571, 0.783977, 0.547233, 1.3983166069275097, 0.996369, 0.791167, 0.553499, 1.4044772701211992, 0.996162, 0.798348, 0.55982, 1.410636362518562, 0.995932, 0.805527, 0.566202, 1.4167970257122517, 0.99568, 0.812706, 0.572645, 1.4229561181096146, 0.995424, 0.819875, 0.57914, 1.4291167813033039, 0.995131, 0.827052, 0.585701, 1.4352758737006668, 0.994851, 0.834213, 0.592307, 1.4414365368943567, 0.994524, 0.841387, 0.598983, 1.4475972000880457, 0.994222, 0.84854, 0.605696, 1.4537562924854086, 0.993866, 0.855711, 0.612482, 1.4599169556790985, 0.993545, 0.862859, 0.619299, 1.4660760480764612, 0.99317, 0.870024, 0.626189, 1.4722367112701507, 0.992831, 0.877168, 0.633109, 1.4783958036675136, 0.99244, 0.88433, 0.640099, 1.4845564668612032, 0.992089, 0.89147, 0.647116, 1.4907171300548927, 0.991688, 0.898627, 0.654202, 1.4968762224522556, 0.991332, 0.905763, 0.661309, 1.503036885645945, 0.99093, 0.912915, 0.668481, 1.5091959780433077, 0.99057, 0.920049, 0.675675, 1.5153566412369976, 0.990175, 0.927196, 0.682926, 1.5215157336343605, 0.989815, 0.934329, 0.690198, 1.5276763968280496, 0.989434, 0.94147, 0.697519, 1.5338370600217395, 0.989077, 0.948604, 0.704863, 1.5399961524191024, 0.988717, 0.955742, 0.712242, 1.5461568156127916, 0.988367, 0.962878, 0.719649, 1.5523159080101545, 0.988033, 0.970012, 0.727077, 1.5584765712038442, 0.987691, 0.977154, 0.734536, 1.564635663601207, 0.987387, 0.984288, 0.742002, 1.5707963267948966, 0.987053, 0.991438, 0.749504]
+anglesLUT.ColorSpace = 'RGB'
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+
+
+#### COLOR
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.043137254901960784, 0.5529411764705883, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesLUT.ApplyPreset('Preset 6', True)
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesPWF.ApplyPreset('Preset 6', True)
+
+# Properties modified on anglesLUT
+anglesLUT.EnableOpacityMapping = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.0625, 0.5, 0.0]
+
+
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8313725490196079, 0.0, 0.0392156862745098]
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.996078431372549, 0.9921568627450981, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+
+
+
+###
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+
+
+## OPACITY :
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.10, 0.5, 0.0]
+
+# ----------------- LEGEND -----------------
+# get color legend/bar for anglesLUT in view renderView1
+# anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.WindowLocation = 'LowerRightCorner'
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.Title = 'angle $\\alpha$' #'angle $\\angle$'
+# anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+# anglesLUTColorBar.TitleJustification = 'Left'
+# # anglesLUTColorBar.TitleJustification = 'Centered'
+#
+# # show color bar/color legend
+# # transform1Display.SetScalarBarVisibility(renderView1, True)
+#
+# # # # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.AddRangeLabels = 0
+# anglesLUTColorBar.DrawTickMarks = 0
+# anglesLUTColorBar.DrawTickLabels = 0
+# anglesLUTColorBar.TitleFontSize = 24
+# anglesLUTColorBar.LabelFontSize = 20
+# # anglesLUTColorBar.AddRangeAnnotations = 1
+#
+# ## -- Add Annotations :
+# anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+# anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+# anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0, 1.0]
+#
+
+
+
+###########################################
+# Properties modified on anglesLUT
+# anglesLUT.EnableOpacityMapping = 0
+# anglesLUT.EnableOpacityMapping = 1
+#
+## ---- AXES GRID PROPERTIES -----
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# renderView1.AxesGrid.XTitleFontSize = 45 #24
+# renderView1.AxesGrid.YTitleFontSize = 45
+# renderView1.AxesGrid.ZTitleFontSize = 45
+# renderView1.AxesGrid.XLabelFontSize = 30 #default:12
+# renderView1.AxesGrid.YLabelFontSize = 30
+# renderView1.AxesGrid.ZLabelFontSize = 30
+renderView1.AxesGrid.XTitleFontSize = 60 #24
+renderView1.AxesGrid.YTitleFontSize = 60
+renderView1.AxesGrid.ZTitleFontSize = 60
+
+renderView1.AxesGrid.XLabelFontSize = 45 #default:12
+renderView1.AxesGrid.YLabelFontSize = 45
+renderView1.AxesGrid.ZLabelFontSize = 45
+# ---- Switch of/on OrientationAXES:
+# renderView1.OrientationAxesVisibility = 1
+renderView1.OrientationAxesVisibility = 0
+
+# ---- Switch Grid On/Off:
+renderView1.AxesGrid.ShowGrid = 1
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+
+
+## SCALE AXIS
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.DataScale = [0.05, 0.05, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisUseCustomLabels = 1
+renderView1.AxesGrid.XAxisLabels = [-5.0, 0.0, 5.0, 10.0, 15.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisUseCustomLabels = 1
+renderView1.AxesGrid.YAxisLabels = [1.0, 5.0, 10.0, 15.0, 20]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisUseCustomLabels = 1
+# renderView1.AxesGrid.ZAxisLabels = [0.1, 0.2, 0.3, 0.4, 0.5,0.6,0.7 ,0.8,0.9, 1.0]
+renderView1.AxesGrid.ZAxisLabels = [0.25, 0.5, 0.75, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisNotation = 'Fixed'
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisPrecision = 1
+
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.AxesToLabel = 31
+
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 1
+#
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 0
+
+
+
+
+############### DATA AXIS GRID ##################
+# Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.GridAxesVisibility = 1
+#
+# # get opacity transfer function/opacity map for 'angles'
+# anglesPWF = GetOpacityTransferFunction('angles')
+# anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+# anglesPWF.AllowDuplicateScalars = 1
+# anglesPWF.UseLogScale = 0
+# anglesPWF.ScalarRangeInitialized = 1
+#
+# # Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.XTitle = '$\\theta_\\rho$'
+# transform1Display.DataAxesGrid.YTitle = '$\\theta_\\mu$'
+# transform1Display.DataAxesGrid.ZTitle = '$\\theta$'
+# # renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+# # renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+# # renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# transform1Display.DataAxesGrid.XTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.YTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.ZTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.XTitleFontSize = 45
+# transform1Display.DataAxesGrid.YTitleFontSize = 45
+# transform1Display.DataAxesGrid.ZTitleFontSize = 45
+# transform1Display.DataAxesGrid.FacesToRender = 7
+# transform1Display.DataAxesGrid.ShowGrid = 1
+#
+#
+
+
+# CHANGE GRID COLOR :
+# Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.FacesToRender = 60
+
+
+#### ------ LEGEND
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+# anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Vertical'
+# anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+# anglesLUTColorBar.Position = [0.89, 0.02]
+# anglesLUTColorBar.Title = 'angles'
+# anglesLUTColorBar.ComponentTitle = ''
+# anglesLUTColorBar.TitleJustification = 'Centered'
+# anglesLUTColorBar.HorizontalTitle = 0
+# anglesLUTColorBar.TitleOpacity = 1.0
+# anglesLUTColorBar.TitleFontFamily = 'Arial'
+# anglesLUTColorBar.TitleFontFile = ''
+# anglesLUTColorBar.TitleBold = 0
+# anglesLUTColorBar.TitleItalic = 0
+# anglesLUTColorBar.TitleShadow = 0
+# anglesLUTColorBar.TitleFontSize = 16
+# anglesLUTColorBar.LabelOpacity = 1.0
+# anglesLUTColorBar.LabelFontFamily = 'Arial'
+# anglesLUTColorBar.LabelFontFile = ''
+# anglesLUTColorBar.LabelBold = 0
+# anglesLUTColorBar.LabelItalic = 0
+# anglesLUTColorBar.LabelShadow = 0
+# anglesLUTColorBar.LabelFontSize = 16
+# anglesLUTColorBar.AutomaticLabelFormat = 1
+# anglesLUTColorBar.LabelFormat = '%-#6.3g'
+# anglesLUTColorBar.DrawTickMarks = 1
+# anglesLUTColorBar.DrawTickLabels = 1
+# anglesLUTColorBar.UseCustomLabels = 0
+# anglesLUTColorBar.CustomLabels = []
+# anglesLUTColorBar.AddRangeLabels = 1
+# anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+# anglesLUTColorBar.DrawAnnotations = 1
+# anglesLUTColorBar.AddRangeAnnotations = 0
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.DrawNanAnnotation = 0
+# anglesLUTColorBar.NanAnnotation = 'NaN'
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+# anglesLUTColorBar.ReverseLegend = 0
+# anglesLUTColorBar.ScalarBarThickness = 16
+# anglesLUTColorBar.ScalarBarLength = 0.33
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.TitleFontSize = 20
+# anglesLUTColorBar.ScalarBarThickness = 20
+# anglesLUTColorBar.ScalarBarLength = 0.7
+#
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+anglesLUT.InterpretValuesAsCategories = 0
+anglesLUT.AnnotationsInitialized = 0
+anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
+anglesLUT.RescaleOnVisibilityChange = 0
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.UseLogScale = 0
+anglesLUT.UseOpacityControlPointsFreehandDrawing = 0
+anglesLUT.ShowDataHistogram = 0
+anglesLUT.AutomaticDataHistogramComputation = 0
+anglesLUT.DataHistogramNumberOfBins = 10
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.UseBelowRangeColor = 0
+anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+anglesLUT.UseAboveRangeColor = 0
+anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.NanOpacity = 1.0
+anglesLUT.Discretize = 1
+anglesLUT.NumberOfTableValues = 256
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.HSVWrap = 0
+anglesLUT.VectorComponent = 0
+anglesLUT.VectorMode = 'Magnitude'
+anglesLUT.AllowDuplicateScalars = 1
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.ActiveAnnotatedValues = []
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 1
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = 'angles'
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Arial'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 20
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Arial'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 16
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 1
+anglesLUTColorBar.DrawTickLabels = 1
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 1
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.5
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.AddRangeLabels = 0
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.Title = '$\\alpha$'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontFamily = 'Times'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontSize = 30
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelFontSize = 25
+
+
+
+#horizontal BAR:
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Horizontal'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+
+
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 0
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = '$\\alpha$ '
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Times'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 24
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Times'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 19
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 0
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.5
+
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+
+# Properties modified on anglesLUTColorBar
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleOpacity = 0.9
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelColor = [0.0, 0.0, 0.0]
+
+
+
+#================================================================
+# addendum: following script captures some of the application
+# state to faithfully reproduce the visualization during playback
+#================================================================
+
+
+
+
+
+
+
+
+# get active source.
+transform1 = GetActiveSource()
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get display properties
+transform1Display = GetDisplayProperties(transform1, view=renderView1)
+
+# set scalar coloring
+ColorBy(transform1Display, ('POINTS', 'curvature'))
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+anglesLUT.InterpretValuesAsCategories = 0
+anglesLUT.AnnotationsInitialized = 0
+anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
+anglesLUT.RescaleOnVisibilityChange = 0
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.UseLogScale = 0
+anglesLUT.UseOpacityControlPointsFreehandDrawing = 0
+anglesLUT.ShowDataHistogram = 0
+anglesLUT.AutomaticDataHistogramComputation = 0
+anglesLUT.DataHistogramNumberOfBins = 10
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.UseBelowRangeColor = 0
+anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+anglesLUT.UseAboveRangeColor = 0
+anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.NanOpacity = 1.0
+anglesLUT.Discretize = 1
+anglesLUT.NumberOfTableValues = 256
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.HSVWrap = 0
+anglesLUT.VectorComponent = 0
+anglesLUT.VectorMode = 'Magnitude'
+anglesLUT.AllowDuplicateScalars = 1
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.ActiveAnnotatedValues = []
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# Hide the scalar bar for this color map if no visible data is colored by it.
+HideScalarBarIfNotNeeded(anglesLUT, renderView1)
+
+# rescale color and/or opacity maps used to include current data range
+transform1Display.RescaleTransferFunctionToDataRange(True, False)
+
+# show color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, True)
+
+
+
+
+
+
+
+
+# get color transfer function/color map for 'curvature'
+curvatureLUT = GetColorTransferFunction('curvature')
+curvatureLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+curvatureLUT.InterpretValuesAsCategories = 0
+curvatureLUT.AnnotationsInitialized = 0
+curvatureLUT.ShowCategoricalColorsinDataRangeOnly = 0
+curvatureLUT.RescaleOnVisibilityChange = 0
+curvatureLUT.EnableOpacityMapping = 0
+curvatureLUT.RGBPoints = [-22.487890958077486, 0.001462, 0.000466, 0.013866, -22.37029032265551, 0.002258, 0.001295, 0.018331, -22.252719672097232, 0.003279, 0.002305, 0.023708, -22.13511903667526, 0.004512, 0.00349, 0.029965, -22.017548386116978, 0.00595, 0.004843, 0.03713, -21.899947750695006, 0.007588, 0.006356, 0.044973, -21.78237710013673, 0.009426, 0.008022, 0.052844, -21.66477646471476, 0.011465, 0.009828, 0.06075, -21.547175829292776, 0.013708, 0.011771, 0.068667, -21.429605178734505, 0.016156, 0.01384, 0.076603, -21.31200454331253, 0.018815, 0.016026, 0.084584, -21.19443389275425, 0.021692, 0.01832, 0.09261, -21.076833257332275, 0.024792, 0.020715, 0.100676, -20.959262606773997, 0.028123, 0.023201, 0.108787, -20.841661971352025, 0.031696, 0.025765, 0.116965, -20.72406133593005, 0.03552, 0.028397, 0.125209, -20.60649068537177, 0.039608, 0.03109, 0.133515, -20.488890049949795, 0.04383, 0.03383, 0.141886, -20.371319399391517, 0.048062, 0.036607, 0.150327, -20.25371876396954, 0.05232, 0.039407, 0.158841, -20.13614811341127, 0.056615, 0.04216, 0.167446, -20.018547477989294, 0.060949, 0.044794, 0.176129, -19.900946842567315, 0.06533, 0.047318, 0.184892, -19.78337619200904, 0.069764, 0.049726, 0.193735, -19.665775556587068, 0.074257, 0.052017, 0.20266, -19.548204906028786, 0.078815, 0.054184, 0.211667, -19.430604270606814, 0.083446, 0.056225, 0.220755, -19.313033620048536, 0.088155, 0.058133, 0.229922, -19.19543298462656, 0.092949, 0.059904, 0.239164, -19.077862334068282, 0.097833, 0.061531, 0.248477, -18.960261698646306, 0.102815, 0.06301, 0.257854, -18.842661063224334, 0.107899, 0.064335, 0.267289, -18.725090412666052, 0.113094, 0.065492, 0.276784, -18.60748977724408, 0.118405, 0.066479, 0.286321, -18.489919126685805, 0.123833, 0.067295, 0.295879, -18.372318491263833, 0.12938, 0.067935, 0.305443, -18.254747840705555, 0.135053, 0.068391, 0.315, -18.13714720528358, 0.140858, 0.068654, 0.324538, -18.019546569861603, 0.146785, 0.068738, 0.334011, -17.901975919303325, 0.152839, 0.068637, 0.343404, -17.784375283881353, 0.159018, 0.068354, 0.352688, -17.66680463332307, 0.165308, 0.067911, 0.361816, -17.549203997901095, 0.171713, 0.067305, 0.370771, -17.431633347342817, 0.178212, 0.066576, 0.379497, -17.314032711920845, 0.184801, 0.065732, 0.387973, -17.19643207649887, 0.19146, 0.064818, 0.396152, -17.078861425940598, 0.198177, 0.063862, 0.404009, -16.961260790518615, 0.204935, 0.062907, 0.411514, -16.843690139960344, 0.211718, 0.061992, 0.418647, -16.72608950453837, 0.218512, 0.061158, 0.425392, -16.60851885398009, 0.225302, 0.060445, 0.431742, -16.490918218558114, 0.232077, 0.059889, 0.437695, -16.373317583136142, 0.238826, 0.059517, 0.443256, -16.255746932577864, 0.245543, 0.059352, 0.448436, -16.138146297155888, 0.25222, 0.059415, 0.453248, -16.02057564659761, 0.258857, 0.059706, 0.45771, -15.902975011175634, 0.265447, 0.060237, 0.46184, -15.785404360617356, 0.271994, 0.060994, 0.46566, -15.66780372519538, 0.278493, 0.061978, 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+curvatureLUT.UseLogScale = 0
+curvatureLUT.UseOpacityControlPointsFreehandDrawing = 0
+curvatureLUT.ShowDataHistogram = 0
+curvatureLUT.AutomaticDataHistogramComputation = 0
+curvatureLUT.DataHistogramNumberOfBins = 10
+curvatureLUT.ColorSpace = 'RGB'
+curvatureLUT.UseBelowRangeColor = 0
+curvatureLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+curvatureLUT.UseAboveRangeColor = 0
+curvatureLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+curvatureLUT.NanColor = [0.0, 1.0, 0.0]
+curvatureLUT.NanOpacity = 1.0
+curvatureLUT.Discretize = 1
+curvatureLUT.NumberOfTableValues = 256
+curvatureLUT.ScalarRangeInitialized = 1.0
+curvatureLUT.HSVWrap = 0
+curvatureLUT.VectorComponent = 0
+curvatureLUT.VectorMode = 'Magnitude'
+curvatureLUT.AllowDuplicateScalars = 1
+curvatureLUT.Annotations = []
+curvatureLUT.ActiveAnnotatedValues = []
+curvatureLUT.IndexedColors = []
+curvatureLUT.IndexedOpacities = []
+
+# get opacity transfer function/opacity map for 'curvature'
+curvaturePWF = GetOpacityTransferFunction('curvature')
+curvaturePWF.Points = [-22.487890958077486, 0.8602941036224365, 0.5, 0.0, -16.076033351009407, 0.625, 0.5, 0.0, -11.644308534050879, 0.6691176295280457, 0.5, 0.0, -2.498981421762373, 0.8676470518112183, 0.5, 0.0, -0.4235583054517704, 0.6911764740943909, 0.5, 0.0, 7.4969727395193715, 0.8014705777168274, 0.5, 0.0]
+curvaturePWF.AllowDuplicateScalars = 1
+curvaturePWF.UseLogScale = 0
+curvaturePWF.ScalarRangeInitialized = 1
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+curvatureLUT.ApplyPreset('Plasma (matplotlib)', True)
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+# curvatureLUT.ApplyPreset('Spectrum Step', True)
+
+
+### LOG SCALE :
+
+# # convert to log space
+# curvatureLUT.MapControlPointsToLogSpace()
+#
+# # Properties modified on curvatureLUT
+# curvatureLUT.UseLogScale = 1
+
+
+
+#### LEGEND :
+
+# get color transfer function/color map for 'curvature'
+curvatureLUT = GetColorTransferFunction('curvature')
+curvatureLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+curvatureLUT.InterpretValuesAsCategories = 0
+curvatureLUT.AnnotationsInitialized = 0
+curvatureLUT.ShowCategoricalColorsinDataRangeOnly = 0
+curvatureLUT.RescaleOnVisibilityChange = 0
+curvatureLUT.EnableOpacityMapping = 0
+curvatureLUT.RGBPoints = [-22.487890958077486, 0.050383, 0.029803, 0.527975, -22.37029032265551, 0.063536, 0.028426, 0.533124, -22.252719672097236, 0.075353, 0.027206, 0.538007, -22.13511903667526, 0.086222, 0.026125, 0.542658, -22.01754838611698, 0.096379, 0.025165, 0.547103, -21.899947750695006, 0.10598, 0.024309, 0.551368, -21.782377100136728, 0.115124, 0.023556, 0.555468, -21.664776464714755, 0.123903, 0.022878, 0.559423, -21.54717582929278, 0.132381, 0.022258, 0.56325, -21.4296051787345, 0.140603, 0.021687, 0.566959, -21.31200454331253, 0.148607, 0.021154, 0.570562, -21.19443389275425, 0.156421, 0.020651, 0.574065, -21.076833257332275, 0.16407, 0.020171, 0.577478, -20.959262606773997, 0.171574, 0.019706, 0.580806, -20.841661971352025, 0.17895, 0.019252, 0.584054, -20.72406133593005, 0.186213, 0.018803, 0.587228, -20.60649068537177, 0.193374, 0.018354, 0.59033, -20.488890049949795, 0.200445, 0.017902, 0.593364, -20.37131939939152, 0.207435, 0.017442, 0.596333, -20.253718763969545, 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+curvatureLUT.UseLogScale = 0
+curvatureLUT.UseOpacityControlPointsFreehandDrawing = 0
+curvatureLUT.ShowDataHistogram = 0
+curvatureLUT.AutomaticDataHistogramComputation = 0
+curvatureLUT.DataHistogramNumberOfBins = 10
+curvatureLUT.ColorSpace = 'Diverging'
+curvatureLUT.UseBelowRangeColor = 0
+curvatureLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+curvatureLUT.UseAboveRangeColor = 0
+curvatureLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+curvatureLUT.NanColor = [0.0, 1.0, 0.0]
+curvatureLUT.NanOpacity = 1.0
+curvatureLUT.Discretize = 1
+curvatureLUT.NumberOfTableValues = 256
+curvatureLUT.ScalarRangeInitialized = 1.0
+curvatureLUT.HSVWrap = 0
+curvatureLUT.VectorComponent = 0
+curvatureLUT.VectorMode = 'Magnitude'
+curvatureLUT.AllowDuplicateScalars = 1
+curvatureLUT.Annotations = []
+curvatureLUT.ActiveAnnotatedValues = []
+curvatureLUT.IndexedColors = []
+curvatureLUT.IndexedOpacities = []
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get color legend/bar for curvatureLUT in view renderView1
+curvatureLUTColorBar = GetScalarBar(curvatureLUT, renderView1)
+curvatureLUTColorBar.AutoOrient = 1
+curvatureLUTColorBar.Orientation = 'Vertical'
+curvatureLUTColorBar.WindowLocation = 'Lower Right Corner'
+curvatureLUTColorBar.Position = [0.89, 0.02]
+curvatureLUTColorBar.Title = 'curvature'
+curvatureLUTColorBar.ComponentTitle = ''
+curvatureLUTColorBar.TitleJustification = 'Centered'
+curvatureLUTColorBar.HorizontalTitle = 0
+curvatureLUTColorBar.TitleOpacity = 1.0
+curvatureLUTColorBar.TitleFontFamily = 'Arial'
+curvatureLUTColorBar.TitleFontFile = ''
+curvatureLUTColorBar.TitleBold = 0
+curvatureLUTColorBar.TitleItalic = 0
+curvatureLUTColorBar.TitleShadow = 0
+curvatureLUTColorBar.TitleFontSize = 16
+curvatureLUTColorBar.LabelOpacity = 1.0
+curvatureLUTColorBar.LabelFontFamily = 'Arial'
+curvatureLUTColorBar.LabelFontFile = ''
+curvatureLUTColorBar.LabelBold = 0
+curvatureLUTColorBar.LabelItalic = 0
+curvatureLUTColorBar.LabelShadow = 0
+curvatureLUTColorBar.LabelFontSize = 16
+curvatureLUTColorBar.AutomaticLabelFormat = 1
+curvatureLUTColorBar.LabelFormat = '%-#6.3g'
+curvatureLUTColorBar.DrawTickMarks = 1
+curvatureLUTColorBar.DrawTickLabels = 1
+curvatureLUTColorBar.UseCustomLabels = 0
+curvatureLUTColorBar.CustomLabels = []
+curvatureLUTColorBar.AddRangeLabels = 1
+curvatureLUTColorBar.RangeLabelFormat = '%-#6.1e'
+curvatureLUTColorBar.DrawAnnotations = 1
+curvatureLUTColorBar.AddRangeAnnotations = 0
+curvatureLUTColorBar.AutomaticAnnotations = 0
+curvatureLUTColorBar.DrawNanAnnotation = 0
+curvatureLUTColorBar.NanAnnotation = 'NaN'
+curvatureLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+curvatureLUTColorBar.ReverseLegend = 0
+curvatureLUTColorBar.ScalarBarThickness = 16
+curvatureLUTColorBar.ScalarBarLength = 0.33
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.Title = '$\\kappa$'
+curvatureLUTColorBar.HorizontalTitle = 1
+curvatureLUTColorBar.TitleFontFamily = 'Times'
+curvatureLUTColorBar.TitleFontSize = 30
+curvatureLUTColorBar.LabelFontFamily = 'Times'
+curvatureLUTColorBar.LabelFontSize = 25
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.TitleJustification = 'Left'
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.ScalarBarThickness = 20
+curvatureLUTColorBar.ScalarBarLength = 0.5
+
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.AddRangeLabels = 1
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.AddRangeLabels = 0
+
+#TURN OF LEGEND:
+
+# get display properties
+transform1Display = GetDisplayProperties(transform1, view=renderView1)
+
+# hide color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, False)
+
+
+
+
+
+
+
+
+
+# get layout
+layout1 = GetLayout()
+
+
+#--------------------------------
+# saving layout sizes for layouts
+
+# layout/tab size in pixels
+layout1.SetSize(890, 532)
+
+#-----------------------------------
+# saving camera placements for views
+
+# current camera placement for renderView1
+renderView1.CameraPosition = [2.011789351967371, 3.0415959513116824, 1.6179658760786457]
+renderView1.CameraFocalPoint = [0.25, 0.5255000000000001, 0.5]
+renderView1.CameraViewUp = [-0.19617469496901113, -0.28016649959323553, 0.9396926207859085]
+renderView1.CameraViewAngle = 30.701754385964914
+renderView1.CameraParallelScale = 0.8460053191322144
+
+
+
+
+
+### ---------------------------------------
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+# ----------------- EXPORT -----------------
+SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_Gamma0_Curvature.png', renderView1, ImageResolution=[2126, 1314],OverrideColorPalette='WhiteBackground')
diff --git a/Python-Scripts/PhaseDiagram_PlotScript_Gamma0_shifted.py b/Python-Scripts/PhaseDiagram_PlotScript_Gamma0_shifted.py
new file mode 100644
index 00000000..5aafc132
--- /dev/null
+++ b/Python-Scripts/PhaseDiagram_PlotScript_Gamma0_shifted.py
@@ -0,0 +1,663 @@
+# To ensure correct image size when batch processing, please search
+# for and uncomment the line `# renderView*.ViewSize = [*,*]`
+
+#### import the simple module from the paraview
+from paraview.simple import *
+#### disable automatic camera reset on 'Show'
+paraview.simple._DisableFirstRenderCameraReset()
+
+#--- Run in Terminal with: 'pvbatch PhaseDiagram_PlotScript.py'
+
+
+# ----- CREATE A Phase Diagram for the following cases:
+# 1. (Hyperbolic Case) Gamma = '0'
+# 2. (Elliptic Case) Gamma = 'infinity'
+#
+# case = 1
+# case = 2
+
+
+#### RESET SESSION :
+ResetSession()
+
+
+
+## CHANGE FONT :
+# find settings proxy
+generalSettings = GetSettingsProxy('GeneralSettings')
+
+# Properties modified on generalSettings
+generalSettings.OverrideFont = 0
+
+
+# drawLine = False
+# # hide_redcolor = True
+# hide_redcolor = False
+# # hide_legend = True
+# hide_legend = False
+
+
+
+
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0_shifted_150SP.vts'])
+phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0_shifted_300SP.vts'])
+
+
+phaseDiagram3DGammainfinityvts.PointArrayStatus = ['Type', 'angles', 'curvature']
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+# uncomment following to set a specific view size
+# renderView1.ViewSize = [999, 547]
+
+## ---- Set a specific view size:
+renderView1.ViewSize = [1257, 934]
+
+# show data in view
+phaseDiagram3DGammainfinityvtsDisplay = Show(phaseDiagram3DGammainfinityvts, renderView1)
+
+### -------------------------------------
+
+
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# create a new 'Transform'
+transform1 = Transform(registrationName='Transform1', Input=xMLStructuredGridReader1)
+transform1.Transform = 'Transform'
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# show data in view
+transform1Display = Show(transform1, renderView1, 'StructuredGridRepresentation')
+
+# trace defaults for the display properties.
+transform1Display.Representation = 'Outline'
+transform1Display.ColorArrayName = ['POINTS', '']
+transform1Display.SelectTCoordArray = 'None'
+transform1Display.SelectNormalArray = 'None'
+transform1Display.SelectTangentArray = 'None'
+transform1Display.OSPRayScaleArray = 'Type'
+transform1Display.OSPRayScaleFunction = 'PiecewiseFunction'
+transform1Display.SelectOrientationVectors = 'None'
+transform1Display.ScaleFactor = 2.0
+transform1Display.SelectScaleArray = 'Type'
+transform1Display.GlyphType = 'Arrow'
+transform1Display.GlyphTableIndexArray = 'Type'
+transform1Display.GaussianRadius = 0.1
+transform1Display.SetScaleArray = ['POINTS', 'Type']
+transform1Display.ScaleTransferFunction = 'PiecewiseFunction'
+transform1Display.OpacityArray = ['POINTS', 'Type']
+transform1Display.OpacityTransferFunction = 'PiecewiseFunction'
+transform1Display.DataAxesGrid = 'GridAxesRepresentation'
+transform1Display.PolarAxes = 'PolarAxesRepresentation'
+transform1Display.ScalarOpacityUnitDistance = 0.1852592630607038
+
+# init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
+transform1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
+transform1Display.ScaleTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
+transform1Display.OpacityTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# hide data in view
+Hide(xMLStructuredGridReader1, renderView1)
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+
+# Properties modified on transform1.Transform
+transform1.Transform.Scale = [0.05, 0.05, 1.0]
+
+# Properties modified on transform1.Transform
+transform1.Transform.Translate = [0.0, 0.0, 0.01]
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+# reset view to fit data
+renderView1.ResetCamera(True)
+
+# toggle 3D widget visibility (only when running from the GUI)
+Hide3DWidgets(proxy=transform1.Transform)
+
+# change representation type
+transform1Display.SetRepresentationType('Point Gaussian')
+
+# Properties modified on transform1Display
+transform1Display.GaussianRadius = 0.0075
+
+
+# transform1Display.Opacity = 0.03 #overall Opacity
+transform1Display.Opacity = 0.02 #overall Opacity
+
+# Properties modified on transform1Display
+transform1Display.ShaderPreset = 'Plain circle'
+
+# set scalar coloring
+ColorBy(transform1Display, ('POINTS', 'angles'))
+
+# rescale color and/or opacity maps used to include current data range
+transform1Display.RescaleTransferFunctionToDataRange(True, False)
+
+# show color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, True)
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.RGBPoints = [0.0, 0.001462, 0.000466, 0.013866, 0.006160663193689554, 0.002258, 0.001295, 0.018331, 0.012319755591052443, 0.003279, 0.002305, 0.023708, 0.018480418784742, 0.004512, 0.00349, 0.029965, 0.024639511182104886, 0.00595, 0.004843, 0.03713, 0.03080017437579444, 0.007588, 0.006356, 0.044973, 0.03695926677315698, 0.009426, 0.008022, 0.052844, 0.043119929966846535, 0.011465, 0.009828, 0.06075, 0.04928059316053644, 0.013708, 0.011771, 0.068667, 0.05543968555789898, 0.016156, 0.01384, 0.076603, 0.061600348751588534, 0.018815, 0.016026, 0.084584, 0.06775944114895142, 0.021692, 0.01832, 0.09261, 0.07392010434264097, 0.024792, 0.020715, 0.100676, 0.08007919674000387, 0.028123, 0.023201, 0.108787, 0.08623985993369342, 0.031696, 0.025765, 0.116965, 0.09240052312738298, 0.03552, 0.028397, 0.125209, 0.09855961552474586, 0.039608, 0.03109, 0.133515, 0.10472027871843542, 0.04383, 0.03383, 0.141886, 0.1108793711157983, 0.048062, 0.036607, 0.150327, 0.11704003430948787, 0.05232, 0.039407, 0.158841, 0.1231991267068504, 0.056615, 0.04216, 0.167446, 0.12935978990053995, 0.060949, 0.044794, 0.176129, 0.13552045309422986, 0.06533, 0.047318, 0.184892, 0.1416795454915924, 0.069764, 0.049726, 0.193735, 0.14784020868528194, 0.074257, 0.052017, 0.20266, 0.15399930108264484, 0.078815, 0.054184, 0.211667, 0.1601599642763344, 0.083446, 0.056225, 0.220755, 0.16631905667369729, 0.088155, 0.058133, 0.229922, 0.17247971986738683, 0.092949, 0.059904, 0.239164, 0.17863881226474973, 0.097833, 0.061531, 0.248477, 0.18479947545843928, 0.102815, 0.06301, 0.257854, 0.19096013865212885, 0.107899, 0.064335, 0.267289, 0.19711923104949172, 0.113094, 0.065492, 0.276784, 0.20327989424318127, 0.118405, 0.066479, 0.286321, 0.20943898664054383, 0.123833, 0.067295, 0.295879, 0.21559964983423338, 0.12938, 0.067935, 0.305443, 0.22175874223159628, 0.135053, 0.068391, 0.315, 0.22791940542528583, 0.140858, 0.068654, 0.324538, 0.23408006861897537, 0.146785, 0.068738, 0.334011, 0.24023916101633827, 0.152839, 0.068637, 0.343404, 0.24639982421002782, 0.159018, 0.068354, 0.352688, 0.2525589166073907, 0.165308, 0.067911, 0.361816, 0.25871957980108024, 0.171713, 0.067305, 0.370771, 0.26487867219844313, 0.178212, 0.066576, 0.379497, 0.2710393353921327, 0.184801, 0.065732, 0.387973, 0.2771999985858223, 0.19146, 0.064818, 0.396152, 0.2833590909831848, 0.198177, 0.063862, 0.404009, 0.2895197541768747, 0.204935, 0.062907, 0.411514, 0.29567884657423726, 0.211718, 0.061992, 0.418647, 0.3018395097679268, 0.218512, 0.061158, 0.425392, 0.3079986021652897, 0.225302, 0.060445, 0.431742, 0.31415926535897926, 0.232077, 0.059889, 0.437695, 0.3203199285526688, 0.238826, 0.059517, 0.443256, 0.3264790209500317, 0.245543, 0.059352, 0.448436, 0.33263968414372125, 0.25222, 0.059415, 0.453248, 0.33879877654108415, 0.258857, 0.059706, 0.45771, 0.34495943973477367, 0.265447, 0.060237, 0.46184, 0.35111853213213656, 0.271994, 0.060994, 0.46566, 0.35727919532582614, 0.278493, 0.061978, 0.46919, 0.36343985851951566, 0.284951, 0.063168, 0.472451, 0.36959895091687855, 0.291366, 0.064553, 0.475462, 0.37575961411056813, 0.29774, 0.066117, 0.478243, 0.38191870650793064, 0.304081, 0.067835, 0.480812, 0.3880793697016202, 0.310382, 0.069702, 0.483186, 0.3942384620989831, 0.316654, 0.07169, 0.48538, 0.4003991252926727, 0.322899, 0.073782, 0.487408, 0.4065597884863622, 0.329114, 0.075972, 0.489287, 0.4127188808837251, 0.335308, 0.078236, 0.491024, 0.4188795440774147, 0.341482, 0.080564, 0.492631, 0.4250386364747776, 0.347636, 0.082946, 0.494121, 0.4311992996684671, 0.353773, 0.085373, 0.495501, 0.43735839206582966, 0.359898, 0.087831, 0.496778, 0.44351905525951957, 0.366012, 0.090314, 0.49796, 0.4496797184532091, 0.372116, 0.092816, 0.499053, 0.45583881085057165, 0.378211, 0.095332, 0.500067, 0.46199947404426156, 0.384299, 0.097855, 0.501002, 0.46815856644162407, 0.390384, 0.100379, 0.501864, 0.47431922963531364, 0.396467, 0.102902, 0.502658, 0.48047832203267654, 0.402548, 0.10542, 0.503386, 0.48663898522636606, 0.408629, 0.10793, 0.504052, 0.49279807762372896, 0.414709, 0.110431, 0.504662, 0.49895874081741853, 0.420791, 0.11292, 0.505215, 0.5051194040111081, 0.426877, 0.115395, 0.505714, 0.511278496408471, 0.432967, 0.117855, 0.50616, 0.5174391596021605, 0.439062, 0.120298, 0.506555, 0.5235982519995234, 0.445163, 0.122724, 0.506901, 0.5297589151932129, 0.451271, 0.125132, 0.507198, 0.5359180075905755, 0.457386, 0.127522, 0.507448, 0.5420786707842654, 0.463508, 0.129893, 0.507652, 0.5482393339779547, 0.46964, 0.132245, 0.507809, 0.5543984263753176, 0.47578, 0.134577, 0.507921, 0.560559089569007, 0.481929, 0.136891, 0.507989, 0.5667181819663699, 0.488088, 0.139186, 0.508011, 0.5728788451600595, 0.494258, 0.141462, 0.507988, 0.5790379375574224, 0.500438, 0.143719, 0.50792, 0.585198600751112, 0.506629, 0.145958, 0.507806, 0.5913592639448015, 0.512831, 0.148179, 0.507648, 0.5975183563421644, 0.519045, 0.150383, 0.507443, 0.6036790195358539, 0.52527, 0.152569, 0.507192, 0.6098381119332165, 0.531507, 0.154739, 0.506895, 0.6159987751269064, 0.537755, 0.156894, 0.506551, 0.6221578675242689, 0.544015, 0.159033, 0.506159, 0.6283185307179585, 0.550287, 0.161158, 0.505719, 0.6344791939116484, 0.556571, 0.163269, 0.50523, 0.6406382863090109, 0.562866, 0.165368, 0.504692, 0.6467989495027004, 0.569172, 0.167454, 0.504105, 0.6529580419000633, 0.57549, 0.16953, 0.503466, 0.6591187050937529, 0.581819, 0.171596, 0.502777, 0.6652777974911158, 0.588158, 0.173652, 0.502035, 0.6714384606848054, 0.594508, 0.175701, 0.501241, 0.677599123878495, 0.600868, 0.177743, 0.500394, 0.6837582162758579, 0.607238, 0.179779, 0.499492, 0.6899188794695473, 0.613617, 0.181811, 0.498536, 0.6960779718669102, 0.620005, 0.18384, 0.497524, 0.7022386350605995, 0.626401, 0.185867, 0.496456, 0.7083977274579624, 0.632805, 0.187893, 0.495332, 0.7145583906516519, 0.639216, 0.189921, 0.49415, 0.7207190538453414, 0.645633, 0.191952, 0.49291, 0.7268781462427043, 0.652056, 0.193986, 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0.452765, 0.8562379361432443, 0.786212, 0.241514, 0.450184, 0.8623985993369342, 0.792427, 0.244242, 0.447543, 0.8685576917342971, 0.798608, 0.24704, 0.444848, 0.8747183549279863, 0.804752, 0.249911, 0.442102, 0.8808774473253492, 0.810855, 0.252861, 0.439305, 0.8870381105190391, 0.816914, 0.255895, 0.436461, 0.8931972029164016, 0.822926, 0.259016, 0.433573, 0.8993578661100912, 0.828886, 0.262229, 0.430644, 0.9055185293037807, 0.834791, 0.26554, 0.427671, 0.9116776217011436, 0.840636, 0.268953, 0.424666, 0.9178382848948332, 0.846416, 0.272473, 0.421631, 0.9239973772921961, 0.852126, 0.276106, 0.418573, 0.9301580404858857, 0.857763, 0.279857, 0.415496, 0.9363171328832481, 0.86332, 0.283729, 0.412403, 0.942477796076938, 0.868793, 0.287728, 0.409303, 0.9486384592706273, 0.874176, 0.291859, 0.406205, 0.9547975516679902, 0.879464, 0.296125, 0.403118, 0.9609582148616801, 0.884651, 0.30053, 0.400047, 0.9671173072590427, 0.889731, 0.305079, 0.397002, 0.9732779704527321, 0.8947, 0.309773, 0.393995, 0.979437062850095, 0.899552, 0.314616, 0.391037, 0.9855977260437846, 0.904281, 0.31961, 0.388137, 0.9917583892374742, 0.908884, 0.324755, 0.385308, 0.9979174816348371, 0.913354, 0.330052, 0.382563, 1.0040781448285265, 0.917689, 0.3355, 0.379915, 1.0102372372258892, 0.921884, 0.341098, 0.377376, 1.0163979004195791, 0.925937, 0.346844, 0.374959, 1.022556992816942, 0.929845, 0.352734, 0.372677, 1.0287176560106313, 0.933606, 0.358764, 0.370541, 1.034878319204321, 0.937221, 0.364929, 0.368567, 1.0410374116016838, 0.940687, 0.371224, 0.366762, 1.047198074795373, 0.944006, 0.377643, 0.365136, 1.053357167192736, 0.94718, 0.384178, 0.363701, 1.0595178303864259, 0.95021, 0.39082, 0.362468, 1.0656769227837886, 0.953099, 0.397563, 0.361438, 1.071837585977478, 0.955849, 0.4044, 0.360619, 1.0779982491711675, 0.958464, 0.411324, 0.360014, 1.0841573415685304, 0.960949, 0.418323, 0.35963, 1.09031800476222, 0.96331, 0.42539, 0.359469, 1.096477097159583, 0.965549, 0.432519, 0.359529, 1.1026377603532722, 0.967671, 0.439703, 0.35981, 1.108796852750635, 0.96968, 0.446936, 0.360311, 1.114957515944325, 0.971582, 0.45421, 0.36103, 1.121116608341688, 0.973381, 0.46152, 0.361965, 1.127277271535377, 0.975082, 0.468861, 0.363111, 1.1334379347290668, 0.97669, 0.476226, 0.364466, 1.1395970271264295, 0.97821, 0.483612, 0.366025, 1.145757690320119, 0.979645, 0.491014, 0.367783, 1.1519167827174819, 0.981, 0.498428, 0.369734, 1.1580774459111713, 0.982279, 0.505851, 0.371874, 1.164236538308534, 0.983485, 0.51328, 0.374198, 1.170397201502224, 0.984622, 0.520713, 0.376698, 1.1765578646959134, 0.985693, 0.528148, 0.379371, 1.182716957093276, 0.9867, 0.535582, 0.38221, 1.188877620286966, 0.987646, 0.543015, 0.38521, 1.1950367126843289, 0.988533, 0.550446, 0.388365, 1.201197375878018, 0.989363, 0.557873, 0.391671, 1.2073564682753808, 0.990138, 0.565296, 0.395122, 1.2135171314690707, 0.990871, 0.572706, 0.398714, 1.21967779466276, 0.991558, 0.580107, 0.402441, 1.2258368870601228, 0.992196, 0.587502, 0.406299, 1.2319975502538125, 0.992785, 0.594891, 0.410283, 1.2381566426511754, 0.993326, 0.602275, 0.41439, 1.2443173058448649, 0.993834, 0.609644, 0.418613, 1.2504763982422278, 0.994309, 0.616999, 0.42295, 1.2566370614359172, 0.994738, 0.62435, 0.427397, 1.262797724629607, 0.995122, 0.631696, 0.431951, 1.2689568170269698, 0.99548, 0.639027, 0.436607, 1.275117480220659, 0.99581, 0.646344, 0.441361, 1.2812765726180217, 0.996096, 0.653659, 0.446213, 1.2874372358117117, 0.996341, 0.660969, 0.45116, 1.2935963282090743, 0.99658, 0.668256, 0.456192, 1.2997569914027638, 0.996775, 0.675541, 0.461314, 1.3059176545964537, 0.996925, 0.682828, 0.466526, 1.3120767469938164, 0.997077, 0.690088, 0.471811, 1.3182374101875058, 0.997186, 0.697349, 0.477182, 1.3243965025848687, 0.997254, 0.704611, 0.482635, 1.3305571657785582, 0.997325, 0.711848, 0.488154, 1.3367162581759209, 0.997351, 0.719089, 0.493755, 1.3428769213696108, 0.997351, 0.726324, 0.499428, 1.3490375845633003, 0.997341, 0.733545, 0.505167, 1.355196676960663, 0.997285, 0.740772, 0.510983, 1.3613573401543528, 0.997228, 0.747981, 0.516859, 1.3675164325517157, 0.997138, 0.75519, 0.522806, 1.3736770957454048, 0.997019, 0.762398, 0.528821, 1.3798361881427677, 0.996898, 0.769591, 0.534892, 1.3859968513364576, 0.996727, 0.776795, 0.541039, 1.3921575145301468, 0.996571, 0.783977, 0.547233, 1.3983166069275097, 0.996369, 0.791167, 0.553499, 1.4044772701211992, 0.996162, 0.798348, 0.55982, 1.410636362518562, 0.995932, 0.805527, 0.566202, 1.4167970257122517, 0.99568, 0.812706, 0.572645, 1.4229561181096146, 0.995424, 0.819875, 0.57914, 1.4291167813033039, 0.995131, 0.827052, 0.585701, 1.4352758737006668, 0.994851, 0.834213, 0.592307, 1.4414365368943567, 0.994524, 0.841387, 0.598983, 1.4475972000880457, 0.994222, 0.84854, 0.605696, 1.4537562924854086, 0.993866, 0.855711, 0.612482, 1.4599169556790985, 0.993545, 0.862859, 0.619299, 1.4660760480764612, 0.99317, 0.870024, 0.626189, 1.4722367112701507, 0.992831, 0.877168, 0.633109, 1.4783958036675136, 0.99244, 0.88433, 0.640099, 1.4845564668612032, 0.992089, 0.89147, 0.647116, 1.4907171300548927, 0.991688, 0.898627, 0.654202, 1.4968762224522556, 0.991332, 0.905763, 0.661309, 1.503036885645945, 0.99093, 0.912915, 0.668481, 1.5091959780433077, 0.99057, 0.920049, 0.675675, 1.5153566412369976, 0.990175, 0.927196, 0.682926, 1.5215157336343605, 0.989815, 0.934329, 0.690198, 1.5276763968280496, 0.989434, 0.94147, 0.697519, 1.5338370600217395, 0.989077, 0.948604, 0.704863, 1.5399961524191024, 0.988717, 0.955742, 0.712242, 1.5461568156127916, 0.988367, 0.962878, 0.719649, 1.5523159080101545, 0.988033, 0.970012, 0.727077, 1.5584765712038442, 0.987691, 0.977154, 0.734536, 1.564635663601207, 0.987387, 0.984288, 0.742002, 1.5707963267948966, 0.987053, 0.991438, 0.749504]
+anglesLUT.ColorSpace = 'RGB'
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+
+
+#### COLOR
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.043137254901960784, 0.5529411764705883, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesLUT.ApplyPreset('Preset 6', True)
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesPWF.ApplyPreset('Preset 6', True)
+
+# Properties modified on anglesLUT
+anglesLUT.EnableOpacityMapping = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.0625, 0.5, 0.0]
+
+
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8313725490196079, 0.0, 0.0392156862745098]
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.996078431372549, 0.9921568627450981, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+
+
+
+###
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+
+
+## OPACITY :
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.10, 0.5, 0.0]
+
+# ----------------- LEGEND -----------------
+# get color legend/bar for anglesLUT in view renderView1
+# anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.WindowLocation = 'LowerRightCorner'
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.Title = 'angle $\\alpha$' #'angle $\\angle$'
+# anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+# anglesLUTColorBar.TitleJustification = 'Left'
+# # anglesLUTColorBar.TitleJustification = 'Centered'
+#
+# # show color bar/color legend
+# # transform1Display.SetScalarBarVisibility(renderView1, True)
+#
+# # # # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.AddRangeLabels = 0
+# anglesLUTColorBar.DrawTickMarks = 0
+# anglesLUTColorBar.DrawTickLabels = 0
+# anglesLUTColorBar.TitleFontSize = 24
+# anglesLUTColorBar.LabelFontSize = 20
+# # anglesLUTColorBar.AddRangeAnnotations = 1
+#
+# ## -- Add Annotations :
+# anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+# anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+# anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0, 1.0]
+#
+
+
+
+###########################################
+# Properties modified on anglesLUT
+# anglesLUT.EnableOpacityMapping = 0
+# anglesLUT.EnableOpacityMapping = 1
+#
+## ---- AXES GRID PROPERTIES -----
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# renderView1.AxesGrid.XTitleFontSize = 45 #24
+# renderView1.AxesGrid.YTitleFontSize = 45
+# renderView1.AxesGrid.ZTitleFontSize = 45
+# renderView1.AxesGrid.XLabelFontSize = 30 #default:12
+# renderView1.AxesGrid.YLabelFontSize = 30
+# renderView1.AxesGrid.ZLabelFontSize = 30
+renderView1.AxesGrid.XTitleFontSize = 60 #24
+renderView1.AxesGrid.YTitleFontSize = 60
+renderView1.AxesGrid.ZTitleFontSize = 60
+
+renderView1.AxesGrid.XLabelFontSize = 45 #default:12
+renderView1.AxesGrid.YLabelFontSize = 45
+renderView1.AxesGrid.ZLabelFontSize = 45
+# ---- Switch of/on OrientationAXES:
+# renderView1.OrientationAxesVisibility = 1
+renderView1.OrientationAxesVisibility = 0
+
+# ---- Switch Grid On/Off:
+renderView1.AxesGrid.ShowGrid = 1
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+
+
+## SCALE AXIS
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.DataScale = [0.05, 0.05, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisUseCustomLabels = 1
+renderView1.AxesGrid.XAxisLabels = [-5.0, 0.0, 5.0, 10.0, 15.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisUseCustomLabels = 1
+renderView1.AxesGrid.YAxisLabels = [1.0, 5.0, 10.0, 15.0, 20]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisUseCustomLabels = 1
+# renderView1.AxesGrid.ZAxisLabels = [0.1, 0.2, 0.3, 0.4, 0.5,0.6,0.7 ,0.8,0.9, 1.0]
+renderView1.AxesGrid.ZAxisLabels = [0.25, 0.5, 0.75, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisNotation = 'Fixed'
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisPrecision = 1
+
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.AxesToLabel = 31
+
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 1
+#
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 0
+
+
+
+
+############### DATA AXIS GRID ##################
+# Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.GridAxesVisibility = 1
+#
+# # get opacity transfer function/opacity map for 'angles'
+# anglesPWF = GetOpacityTransferFunction('angles')
+# anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+# anglesPWF.AllowDuplicateScalars = 1
+# anglesPWF.UseLogScale = 0
+# anglesPWF.ScalarRangeInitialized = 1
+#
+# # Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.XTitle = '$\\theta_\\rho$'
+# transform1Display.DataAxesGrid.YTitle = '$\\theta_\\mu$'
+# transform1Display.DataAxesGrid.ZTitle = '$\\theta$'
+# # renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+# # renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+# # renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# transform1Display.DataAxesGrid.XTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.YTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.ZTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.XTitleFontSize = 45
+# transform1Display.DataAxesGrid.YTitleFontSize = 45
+# transform1Display.DataAxesGrid.ZTitleFontSize = 45
+# transform1Display.DataAxesGrid.FacesToRender = 7
+# transform1Display.DataAxesGrid.ShowGrid = 1
+#
+#
+
+
+# CHANGE GRID COLOR :
+# Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.FacesToRender = 60
+
+
+#### ------ LEGEND
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+# anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Vertical'
+# anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+# anglesLUTColorBar.Position = [0.89, 0.02]
+# anglesLUTColorBar.Title = 'angles'
+# anglesLUTColorBar.ComponentTitle = ''
+# anglesLUTColorBar.TitleJustification = 'Centered'
+# anglesLUTColorBar.HorizontalTitle = 0
+# anglesLUTColorBar.TitleOpacity = 1.0
+# anglesLUTColorBar.TitleFontFamily = 'Arial'
+# anglesLUTColorBar.TitleFontFile = ''
+# anglesLUTColorBar.TitleBold = 0
+# anglesLUTColorBar.TitleItalic = 0
+# anglesLUTColorBar.TitleShadow = 0
+# anglesLUTColorBar.TitleFontSize = 16
+# anglesLUTColorBar.LabelOpacity = 1.0
+# anglesLUTColorBar.LabelFontFamily = 'Arial'
+# anglesLUTColorBar.LabelFontFile = ''
+# anglesLUTColorBar.LabelBold = 0
+# anglesLUTColorBar.LabelItalic = 0
+# anglesLUTColorBar.LabelShadow = 0
+# anglesLUTColorBar.LabelFontSize = 16
+# anglesLUTColorBar.AutomaticLabelFormat = 1
+# anglesLUTColorBar.LabelFormat = '%-#6.3g'
+# anglesLUTColorBar.DrawTickMarks = 1
+# anglesLUTColorBar.DrawTickLabels = 1
+# anglesLUTColorBar.UseCustomLabels = 0
+# anglesLUTColorBar.CustomLabels = []
+# anglesLUTColorBar.AddRangeLabels = 1
+# anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+# anglesLUTColorBar.DrawAnnotations = 1
+# anglesLUTColorBar.AddRangeAnnotations = 0
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.DrawNanAnnotation = 0
+# anglesLUTColorBar.NanAnnotation = 'NaN'
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+# anglesLUTColorBar.ReverseLegend = 0
+# anglesLUTColorBar.ScalarBarThickness = 16
+# anglesLUTColorBar.ScalarBarLength = 0.33
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.TitleFontSize = 20
+# anglesLUTColorBar.ScalarBarThickness = 20
+# anglesLUTColorBar.ScalarBarLength = 0.7
+#
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+anglesLUT.InterpretValuesAsCategories = 0
+anglesLUT.AnnotationsInitialized = 0
+anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
+anglesLUT.RescaleOnVisibilityChange = 0
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.UseLogScale = 0
+anglesLUT.UseOpacityControlPointsFreehandDrawing = 0
+anglesLUT.ShowDataHistogram = 0
+anglesLUT.AutomaticDataHistogramComputation = 0
+anglesLUT.DataHistogramNumberOfBins = 10
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.UseBelowRangeColor = 0
+anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+anglesLUT.UseAboveRangeColor = 0
+anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.NanOpacity = 1.0
+anglesLUT.Discretize = 1
+anglesLUT.NumberOfTableValues = 256
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.HSVWrap = 0
+anglesLUT.VectorComponent = 0
+anglesLUT.VectorMode = 'Magnitude'
+anglesLUT.AllowDuplicateScalars = 1
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.ActiveAnnotatedValues = []
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 1
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = 'angles'
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Arial'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 20
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Arial'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 16
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 1
+anglesLUTColorBar.DrawTickLabels = 1
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 1
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.5
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.AddRangeLabels = 0
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.Title = '$\\alpha$'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontFamily = 'Times'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontSize = 30
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelFontSize = 25
+
+
+
+#horizontal BAR:
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Horizontal'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+
+
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 0
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = '$\\alpha$ '
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Times'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 24
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Times'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 19
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 0
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.5
+
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+
+# Properties modified on anglesLUTColorBar
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleOpacity = 0.9
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelColor = [0.0, 0.0, 0.0]
+
+## TURN OF legend
+
+# get display properties
+transform1Display = GetDisplayProperties(transform1, view=renderView1)
+
+# hide color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, False)
+
+#================================================================
+# addendum: following script captures some of the application
+# state to faithfully reproduce the visualization during playback
+#================================================================
+
+
+
+
+# get layout
+layout1 = GetLayout()
+
+
+#--------------------------------
+# saving layout sizes for layouts
+
+# layout/tab size in pixels
+layout1.SetSize(890, 532)
+
+#-----------------------------------
+# saving camera placements for views
+
+# current camera placement for renderView1
+renderView1.CameraPosition = [2.011789351967371, 3.0415959513116824, 1.6179658760786457]
+renderView1.CameraFocalPoint = [0.25, 0.5255000000000001, 0.5]
+renderView1.CameraViewUp = [-0.19617469496901113, -0.28016649959323553, 0.9396926207859085]
+renderView1.CameraViewAngle = 30.701754385964914
+renderView1.CameraParallelScale = 0.8460053191322144
+
+
+
+
+
+### ---------------------------------------
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+# ----------------- EXPORT -----------------
+SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_Gamma0.png', renderView1, ImageResolution=[2126, 1314],OverrideColorPalette='WhiteBackground')
diff --git a/Python-Scripts/PhaseDiagram_PlotScript_GammaInf_Curvature_shifted.py b/Python-Scripts/PhaseDiagram_PlotScript_GammaInf_Curvature_shifted.py
new file mode 100644
index 00000000..2eed7126
--- /dev/null
+++ b/Python-Scripts/PhaseDiagram_PlotScript_GammaInf_Curvature_shifted.py
@@ -0,0 +1,1698 @@
+# To ensure correct image size when batch processing, please search
+# for and uncomment the line `# renderView*.ViewSize = [*,*]`
+
+#### import the simple module from the paraview
+from paraview.simple import *
+#### disable automatic camera reset on 'Show'
+paraview.simple._DisableFirstRenderCameraReset()
+
+#--- Run in Terminal with: 'pvbatch PhaseDiagram_PlotScript.py'
+
+
+# ----- CREATE A Phase Diagram for the following cases:
+# 1. (Hyperbolic Case) Gamma = '0'
+# 2. (Elliptic Case) Gamma = 'infinity'
+#
+# case = 1
+# case = 2
+
+
+#### RESET SESSION :
+ResetSession()
+
+
+
+## CHANGE FONT :
+# find settings proxy
+generalSettings = GetSettingsProxy('GeneralSettings')
+
+# Properties modified on generalSettings
+generalSettings.OverrideFont = 0
+
+
+# drawLine = False
+# # hide_redcolor = True
+# hide_redcolor = False
+# # hide_legend = True
+# hide_legend = False
+
+
+isosurface = False
+
+
+
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_150SP.vts'])
+phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_300SP.vts'])
+
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0_shifted_150SP.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0_shifted_300SP.vts'])
+
+
+phaseDiagram3DGammainfinityvts.PointArrayStatus = ['Type', 'angles', 'curvature']
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+# uncomment following to set a specific view size
+# renderView1.ViewSize = [999, 547]
+
+## ---- Set a specific view size:
+renderView1.ViewSize = [1257, 934]
+
+# show data in view
+phaseDiagram3DGammainfinityvtsDisplay = Show(phaseDiagram3DGammainfinityvts, renderView1)
+
+### -------------------------------------
+
+
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# create a new 'Transform'
+transform1 = Transform(registrationName='Transform1', Input=xMLStructuredGridReader1)
+transform1.Transform = 'Transform'
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# show data in view
+transform1Display = Show(transform1, renderView1, 'StructuredGridRepresentation')
+
+# trace defaults for the display properties.
+transform1Display.Representation = 'Outline'
+transform1Display.ColorArrayName = ['POINTS', '']
+transform1Display.SelectTCoordArray = 'None'
+transform1Display.SelectNormalArray = 'None'
+transform1Display.SelectTangentArray = 'None'
+transform1Display.OSPRayScaleArray = 'Type'
+transform1Display.OSPRayScaleFunction = 'PiecewiseFunction'
+transform1Display.SelectOrientationVectors = 'None'
+transform1Display.ScaleFactor = 2.0
+transform1Display.SelectScaleArray = 'Type'
+transform1Display.GlyphType = 'Arrow'
+transform1Display.GlyphTableIndexArray = 'Type'
+transform1Display.GaussianRadius = 0.1
+transform1Display.SetScaleArray = ['POINTS', 'Type']
+transform1Display.ScaleTransferFunction = 'PiecewiseFunction'
+transform1Display.OpacityArray = ['POINTS', 'Type']
+transform1Display.OpacityTransferFunction = 'PiecewiseFunction'
+transform1Display.DataAxesGrid = 'GridAxesRepresentation'
+transform1Display.PolarAxes = 'PolarAxesRepresentation'
+transform1Display.ScalarOpacityUnitDistance = 0.1852592630607038
+
+# init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
+transform1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
+transform1Display.ScaleTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
+transform1Display.OpacityTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# hide data in view
+Hide(xMLStructuredGridReader1, renderView1)
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+
+# Properties modified on transform1.Transform
+transform1.Transform.Scale = [0.05, 0.05, 1.0]
+
+# Properties modified on transform1.Transform
+transform1.Transform.Translate = [0.0, 0.0, 0.01]
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+# reset view to fit data
+renderView1.ResetCamera(True)
+
+# toggle 3D widget visibility (only when running from the GUI)
+Hide3DWidgets(proxy=transform1.Transform)
+
+# change representation type
+transform1Display.SetRepresentationType('Point Gaussian')
+
+# Properties modified on transform1Display
+transform1Display.GaussianRadius = 0.0075
+
+
+# transform1Display.Opacity = 0.03 #overall Opacity
+transform1Display.Opacity = 0.02 #overall Opacity
+transform1Display.Opacity = 0.01 #overall Opacity
+
+# Properties modified on transform1Display
+transform1Display.ShaderPreset = 'Plain circle'
+
+# set scalar coloring
+ColorBy(transform1Display, ('POINTS', 'angles'))
+
+# rescale color and/or opacity maps used to include current data range
+transform1Display.RescaleTransferFunctionToDataRange(True, False)
+
+# show color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, True)
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.RGBPoints = [0.0, 0.001462, 0.000466, 0.013866, 0.006160663193689554, 0.002258, 0.001295, 0.018331, 0.012319755591052443, 0.003279, 0.002305, 0.023708, 0.018480418784742, 0.004512, 0.00349, 0.029965, 0.024639511182104886, 0.00595, 0.004843, 0.03713, 0.03080017437579444, 0.007588, 0.006356, 0.044973, 0.03695926677315698, 0.009426, 0.008022, 0.052844, 0.043119929966846535, 0.011465, 0.009828, 0.06075, 0.04928059316053644, 0.013708, 0.011771, 0.068667, 0.05543968555789898, 0.016156, 0.01384, 0.076603, 0.061600348751588534, 0.018815, 0.016026, 0.084584, 0.06775944114895142, 0.021692, 0.01832, 0.09261, 0.07392010434264097, 0.024792, 0.020715, 0.100676, 0.08007919674000387, 0.028123, 0.023201, 0.108787, 0.08623985993369342, 0.031696, 0.025765, 0.116965, 0.09240052312738298, 0.03552, 0.028397, 0.125209, 0.09855961552474586, 0.039608, 0.03109, 0.133515, 0.10472027871843542, 0.04383, 0.03383, 0.141886, 0.1108793711157983, 0.048062, 0.036607, 0.150327, 0.11704003430948787, 0.05232, 0.039407, 0.158841, 0.1231991267068504, 0.056615, 0.04216, 0.167446, 0.12935978990053995, 0.060949, 0.044794, 0.176129, 0.13552045309422986, 0.06533, 0.047318, 0.184892, 0.1416795454915924, 0.069764, 0.049726, 0.193735, 0.14784020868528194, 0.074257, 0.052017, 0.20266, 0.15399930108264484, 0.078815, 0.054184, 0.211667, 0.1601599642763344, 0.083446, 0.056225, 0.220755, 0.16631905667369729, 0.088155, 0.058133, 0.229922, 0.17247971986738683, 0.092949, 0.059904, 0.239164, 0.17863881226474973, 0.097833, 0.061531, 0.248477, 0.18479947545843928, 0.102815, 0.06301, 0.257854, 0.19096013865212885, 0.107899, 0.064335, 0.267289, 0.19711923104949172, 0.113094, 0.065492, 0.276784, 0.20327989424318127, 0.118405, 0.066479, 0.286321, 0.20943898664054383, 0.123833, 0.067295, 0.295879, 0.21559964983423338, 0.12938, 0.067935, 0.305443, 0.22175874223159628, 0.135053, 0.068391, 0.315, 0.22791940542528583, 0.140858, 0.068654, 0.324538, 0.23408006861897537, 0.146785, 0.068738, 0.334011, 0.24023916101633827, 0.152839, 0.068637, 0.343404, 0.24639982421002782, 0.159018, 0.068354, 0.352688, 0.2525589166073907, 0.165308, 0.067911, 0.361816, 0.25871957980108024, 0.171713, 0.067305, 0.370771, 0.26487867219844313, 0.178212, 0.066576, 0.379497, 0.2710393353921327, 0.184801, 0.065732, 0.387973, 0.2771999985858223, 0.19146, 0.064818, 0.396152, 0.2833590909831848, 0.198177, 0.063862, 0.404009, 0.2895197541768747, 0.204935, 0.062907, 0.411514, 0.29567884657423726, 0.211718, 0.061992, 0.418647, 0.3018395097679268, 0.218512, 0.061158, 0.425392, 0.3079986021652897, 0.225302, 0.060445, 0.431742, 0.31415926535897926, 0.232077, 0.059889, 0.437695, 0.3203199285526688, 0.238826, 0.059517, 0.443256, 0.3264790209500317, 0.245543, 0.059352, 0.448436, 0.33263968414372125, 0.25222, 0.059415, 0.453248, 0.33879877654108415, 0.258857, 0.059706, 0.45771, 0.34495943973477367, 0.265447, 0.060237, 0.46184, 0.35111853213213656, 0.271994, 0.060994, 0.46566, 0.35727919532582614, 0.278493, 0.061978, 0.46919, 0.36343985851951566, 0.284951, 0.063168, 0.472451, 0.36959895091687855, 0.291366, 0.064553, 0.475462, 0.37575961411056813, 0.29774, 0.066117, 0.478243, 0.38191870650793064, 0.304081, 0.067835, 0.480812, 0.3880793697016202, 0.310382, 0.069702, 0.483186, 0.3942384620989831, 0.316654, 0.07169, 0.48538, 0.4003991252926727, 0.322899, 0.073782, 0.487408, 0.4065597884863622, 0.329114, 0.075972, 0.489287, 0.4127188808837251, 0.335308, 0.078236, 0.491024, 0.4188795440774147, 0.341482, 0.080564, 0.492631, 0.4250386364747776, 0.347636, 0.082946, 0.494121, 0.4311992996684671, 0.353773, 0.085373, 0.495501, 0.43735839206582966, 0.359898, 0.087831, 0.496778, 0.44351905525951957, 0.366012, 0.090314, 0.49796, 0.4496797184532091, 0.372116, 0.092816, 0.499053, 0.45583881085057165, 0.378211, 0.095332, 0.500067, 0.46199947404426156, 0.384299, 0.097855, 0.501002, 0.46815856644162407, 0.390384, 0.100379, 0.501864, 0.47431922963531364, 0.396467, 0.102902, 0.502658, 0.48047832203267654, 0.402548, 0.10542, 0.503386, 0.48663898522636606, 0.408629, 0.10793, 0.504052, 0.49279807762372896, 0.414709, 0.110431, 0.504662, 0.49895874081741853, 0.420791, 0.11292, 0.505215, 0.5051194040111081, 0.426877, 0.115395, 0.505714, 0.511278496408471, 0.432967, 0.117855, 0.50616, 0.5174391596021605, 0.439062, 0.120298, 0.506555, 0.5235982519995234, 0.445163, 0.122724, 0.506901, 0.5297589151932129, 0.451271, 0.125132, 0.507198, 0.5359180075905755, 0.457386, 0.127522, 0.507448, 0.5420786707842654, 0.463508, 0.129893, 0.507652, 0.5482393339779547, 0.46964, 0.132245, 0.507809, 0.5543984263753176, 0.47578, 0.134577, 0.507921, 0.560559089569007, 0.481929, 0.136891, 0.507989, 0.5667181819663699, 0.488088, 0.139186, 0.508011, 0.5728788451600595, 0.494258, 0.141462, 0.507988, 0.5790379375574224, 0.500438, 0.143719, 0.50792, 0.585198600751112, 0.506629, 0.145958, 0.507806, 0.5913592639448015, 0.512831, 0.148179, 0.507648, 0.5975183563421644, 0.519045, 0.150383, 0.507443, 0.6036790195358539, 0.52527, 0.152569, 0.507192, 0.6098381119332165, 0.531507, 0.154739, 0.506895, 0.6159987751269064, 0.537755, 0.156894, 0.506551, 0.6221578675242689, 0.544015, 0.159033, 0.506159, 0.6283185307179585, 0.550287, 0.161158, 0.505719, 0.6344791939116484, 0.556571, 0.163269, 0.50523, 0.6406382863090109, 0.562866, 0.165368, 0.504692, 0.6467989495027004, 0.569172, 0.167454, 0.504105, 0.6529580419000633, 0.57549, 0.16953, 0.503466, 0.6591187050937529, 0.581819, 0.171596, 0.502777, 0.6652777974911158, 0.588158, 0.173652, 0.502035, 0.6714384606848054, 0.594508, 0.175701, 0.501241, 0.677599123878495, 0.600868, 0.177743, 0.500394, 0.6837582162758579, 0.607238, 0.179779, 0.499492, 0.6899188794695473, 0.613617, 0.181811, 0.498536, 0.6960779718669102, 0.620005, 0.18384, 0.497524, 0.7022386350605995, 0.626401, 0.185867, 0.496456, 0.7083977274579624, 0.632805, 0.187893, 0.495332, 0.7145583906516519, 0.639216, 0.189921, 0.49415, 0.7207190538453414, 0.645633, 0.191952, 0.49291, 0.7268781462427043, 0.652056, 0.193986, 0.491611, 0.7330388094363939, 0.658483, 0.196027, 0.490253, 0.7391979018337568, 0.664915, 0.198075, 0.488836, 0.7453585650274464, 0.671349, 0.200133, 0.487358, 0.7515176574248092, 0.677786, 0.202203, 0.485819, 0.7576783206184988, 0.684224, 0.204286, 0.484219, 0.7638389838121884, 0.690661, 0.206384, 0.482558, 0.7699980762095512, 0.697098, 0.208501, 0.480835, 0.7761587394032408, 0.703532, 0.210638, 0.479049, 0.7823178318006033, 0.709962, 0.212797, 0.477201, 0.7884784949942932, 0.716387, 0.214982, 0.47529, 0.7946375873916561, 0.722805, 0.217194, 0.473316, 0.8007982505853454, 0.729216, 0.219437, 0.471279, 0.8069573429827082, 0.735616, 0.221713, 0.46918, 0.8131180061763977, 0.742004, 0.224025, 0.467018, 0.8192786693700873, 0.748378, 0.226377, 0.464794, 0.8254377617674502, 0.754737, 0.228772, 0.462509, 0.8315984249611398, 0.761077, 0.231214, 0.460162, 0.8377575173585023, 0.767398, 0.233705, 0.457755, 0.8439181805521923, 0.773695, 0.236249, 0.455289, 0.8500772729495552, 0.779968, 0.238851, 0.452765, 0.8562379361432443, 0.786212, 0.241514, 0.450184, 0.8623985993369342, 0.792427, 0.244242, 0.447543, 0.8685576917342971, 0.798608, 0.24704, 0.444848, 0.8747183549279863, 0.804752, 0.249911, 0.442102, 0.8808774473253492, 0.810855, 0.252861, 0.439305, 0.8870381105190391, 0.816914, 0.255895, 0.436461, 0.8931972029164016, 0.822926, 0.259016, 0.433573, 0.8993578661100912, 0.828886, 0.262229, 0.430644, 0.9055185293037807, 0.834791, 0.26554, 0.427671, 0.9116776217011436, 0.840636, 0.268953, 0.424666, 0.9178382848948332, 0.846416, 0.272473, 0.421631, 0.9239973772921961, 0.852126, 0.276106, 0.418573, 0.9301580404858857, 0.857763, 0.279857, 0.415496, 0.9363171328832481, 0.86332, 0.283729, 0.412403, 0.942477796076938, 0.868793, 0.287728, 0.409303, 0.9486384592706273, 0.874176, 0.291859, 0.406205, 0.9547975516679902, 0.879464, 0.296125, 0.403118, 0.9609582148616801, 0.884651, 0.30053, 0.400047, 0.9671173072590427, 0.889731, 0.305079, 0.397002, 0.9732779704527321, 0.8947, 0.309773, 0.393995, 0.979437062850095, 0.899552, 0.314616, 0.391037, 0.9855977260437846, 0.904281, 0.31961, 0.388137, 0.9917583892374742, 0.908884, 0.324755, 0.385308, 0.9979174816348371, 0.913354, 0.330052, 0.382563, 1.0040781448285265, 0.917689, 0.3355, 0.379915, 1.0102372372258892, 0.921884, 0.341098, 0.377376, 1.0163979004195791, 0.925937, 0.346844, 0.374959, 1.022556992816942, 0.929845, 0.352734, 0.372677, 1.0287176560106313, 0.933606, 0.358764, 0.370541, 1.034878319204321, 0.937221, 0.364929, 0.368567, 1.0410374116016838, 0.940687, 0.371224, 0.366762, 1.047198074795373, 0.944006, 0.377643, 0.365136, 1.053357167192736, 0.94718, 0.384178, 0.363701, 1.0595178303864259, 0.95021, 0.39082, 0.362468, 1.0656769227837886, 0.953099, 0.397563, 0.361438, 1.071837585977478, 0.955849, 0.4044, 0.360619, 1.0779982491711675, 0.958464, 0.411324, 0.360014, 1.0841573415685304, 0.960949, 0.418323, 0.35963, 1.09031800476222, 0.96331, 0.42539, 0.359469, 1.096477097159583, 0.965549, 0.432519, 0.359529, 1.1026377603532722, 0.967671, 0.439703, 0.35981, 1.108796852750635, 0.96968, 0.446936, 0.360311, 1.114957515944325, 0.971582, 0.45421, 0.36103, 1.121116608341688, 0.973381, 0.46152, 0.361965, 1.127277271535377, 0.975082, 0.468861, 0.363111, 1.1334379347290668, 0.97669, 0.476226, 0.364466, 1.1395970271264295, 0.97821, 0.483612, 0.366025, 1.145757690320119, 0.979645, 0.491014, 0.367783, 1.1519167827174819, 0.981, 0.498428, 0.369734, 1.1580774459111713, 0.982279, 0.505851, 0.371874, 1.164236538308534, 0.983485, 0.51328, 0.374198, 1.170397201502224, 0.984622, 0.520713, 0.376698, 1.1765578646959134, 0.985693, 0.528148, 0.379371, 1.182716957093276, 0.9867, 0.535582, 0.38221, 1.188877620286966, 0.987646, 0.543015, 0.38521, 1.1950367126843289, 0.988533, 0.550446, 0.388365, 1.201197375878018, 0.989363, 0.557873, 0.391671, 1.2073564682753808, 0.990138, 0.565296, 0.395122, 1.2135171314690707, 0.990871, 0.572706, 0.398714, 1.21967779466276, 0.991558, 0.580107, 0.402441, 1.2258368870601228, 0.992196, 0.587502, 0.406299, 1.2319975502538125, 0.992785, 0.594891, 0.410283, 1.2381566426511754, 0.993326, 0.602275, 0.41439, 1.2443173058448649, 0.993834, 0.609644, 0.418613, 1.2504763982422278, 0.994309, 0.616999, 0.42295, 1.2566370614359172, 0.994738, 0.62435, 0.427397, 1.262797724629607, 0.995122, 0.631696, 0.431951, 1.2689568170269698, 0.99548, 0.639027, 0.436607, 1.275117480220659, 0.99581, 0.646344, 0.441361, 1.2812765726180217, 0.996096, 0.653659, 0.446213, 1.2874372358117117, 0.996341, 0.660969, 0.45116, 1.2935963282090743, 0.99658, 0.668256, 0.456192, 1.2997569914027638, 0.996775, 0.675541, 0.461314, 1.3059176545964537, 0.996925, 0.682828, 0.466526, 1.3120767469938164, 0.997077, 0.690088, 0.471811, 1.3182374101875058, 0.997186, 0.697349, 0.477182, 1.3243965025848687, 0.997254, 0.704611, 0.482635, 1.3305571657785582, 0.997325, 0.711848, 0.488154, 1.3367162581759209, 0.997351, 0.719089, 0.493755, 1.3428769213696108, 0.997351, 0.726324, 0.499428, 1.3490375845633003, 0.997341, 0.733545, 0.505167, 1.355196676960663, 0.997285, 0.740772, 0.510983, 1.3613573401543528, 0.997228, 0.747981, 0.516859, 1.3675164325517157, 0.997138, 0.75519, 0.522806, 1.3736770957454048, 0.997019, 0.762398, 0.528821, 1.3798361881427677, 0.996898, 0.769591, 0.534892, 1.3859968513364576, 0.996727, 0.776795, 0.541039, 1.3921575145301468, 0.996571, 0.783977, 0.547233, 1.3983166069275097, 0.996369, 0.791167, 0.553499, 1.4044772701211992, 0.996162, 0.798348, 0.55982, 1.410636362518562, 0.995932, 0.805527, 0.566202, 1.4167970257122517, 0.99568, 0.812706, 0.572645, 1.4229561181096146, 0.995424, 0.819875, 0.57914, 1.4291167813033039, 0.995131, 0.827052, 0.585701, 1.4352758737006668, 0.994851, 0.834213, 0.592307, 1.4414365368943567, 0.994524, 0.841387, 0.598983, 1.4475972000880457, 0.994222, 0.84854, 0.605696, 1.4537562924854086, 0.993866, 0.855711, 0.612482, 1.4599169556790985, 0.993545, 0.862859, 0.619299, 1.4660760480764612, 0.99317, 0.870024, 0.626189, 1.4722367112701507, 0.992831, 0.877168, 0.633109, 1.4783958036675136, 0.99244, 0.88433, 0.640099, 1.4845564668612032, 0.992089, 0.89147, 0.647116, 1.4907171300548927, 0.991688, 0.898627, 0.654202, 1.4968762224522556, 0.991332, 0.905763, 0.661309, 1.503036885645945, 0.99093, 0.912915, 0.668481, 1.5091959780433077, 0.99057, 0.920049, 0.675675, 1.5153566412369976, 0.990175, 0.927196, 0.682926, 1.5215157336343605, 0.989815, 0.934329, 0.690198, 1.5276763968280496, 0.989434, 0.94147, 0.697519, 1.5338370600217395, 0.989077, 0.948604, 0.704863, 1.5399961524191024, 0.988717, 0.955742, 0.712242, 1.5461568156127916, 0.988367, 0.962878, 0.719649, 1.5523159080101545, 0.988033, 0.970012, 0.727077, 1.5584765712038442, 0.987691, 0.977154, 0.734536, 1.564635663601207, 0.987387, 0.984288, 0.742002, 1.5707963267948966, 0.987053, 0.991438, 0.749504]
+anglesLUT.ColorSpace = 'RGB'
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+
+
+#### COLOR
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.043137254901960784, 0.5529411764705883, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesLUT.ApplyPreset('Preset 6', True)
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesPWF.ApplyPreset('Preset 6', True)
+
+# Properties modified on anglesLUT
+anglesLUT.EnableOpacityMapping = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.0625, 0.5, 0.0]
+
+
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8313725490196079, 0.0, 0.0392156862745098]
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.996078431372549, 0.9921568627450981, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+
+
+
+###
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+
+
+## OPACITY :
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.10, 0.5, 0.0]
+
+# ----------------- LEGEND -----------------
+# get color legend/bar for anglesLUT in view renderView1
+# anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.WindowLocation = 'LowerRightCorner'
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.Title = 'angle $\\alpha$' #'angle $\\angle$'
+# anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+# anglesLUTColorBar.TitleJustification = 'Left'
+# # anglesLUTColorBar.TitleJustification = 'Centered'
+#
+# # show color bar/color legend
+# # transform1Display.SetScalarBarVisibility(renderView1, True)
+#
+# # # # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.AddRangeLabels = 0
+# anglesLUTColorBar.DrawTickMarks = 0
+# anglesLUTColorBar.DrawTickLabels = 0
+# anglesLUTColorBar.TitleFontSize = 24
+# anglesLUTColorBar.LabelFontSize = 20
+# # anglesLUTColorBar.AddRangeAnnotations = 1
+#
+# ## -- Add Annotations :
+# anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+# anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+# anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0, 1.0]
+#
+
+
+
+###########################################
+# Properties modified on anglesLUT
+# anglesLUT.EnableOpacityMapping = 0
+# anglesLUT.EnableOpacityMapping = 1
+#
+## ---- AXES GRID PROPERTIES -----
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# renderView1.AxesGrid.XTitleFontSize = 45 #24
+# renderView1.AxesGrid.YTitleFontSize = 45
+# renderView1.AxesGrid.ZTitleFontSize = 45
+# renderView1.AxesGrid.XLabelFontSize = 30 #default:12
+# renderView1.AxesGrid.YLabelFontSize = 30
+# renderView1.AxesGrid.ZLabelFontSize = 30
+renderView1.AxesGrid.XTitleFontSize = 60 #24
+renderView1.AxesGrid.YTitleFontSize = 60
+renderView1.AxesGrid.ZTitleFontSize = 60
+
+renderView1.AxesGrid.XLabelFontSize = 45 #default:12
+renderView1.AxesGrid.YLabelFontSize = 45
+renderView1.AxesGrid.ZLabelFontSize = 45
+# ---- Switch of/on OrientationAXES:
+# renderView1.OrientationAxesVisibility = 1
+renderView1.OrientationAxesVisibility = 0
+
+# ---- Switch Grid On/Off:
+renderView1.AxesGrid.ShowGrid = 1
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+
+
+## SCALE AXIS
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.DataScale = [0.05, 0.05, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisUseCustomLabels = 1
+renderView1.AxesGrid.XAxisLabels = [-5.0, 0.0, 5.0, 10.0, 15.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisUseCustomLabels = 1
+renderView1.AxesGrid.YAxisLabels = [1.0, 5.0, 10.0, 15.0, 20]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisUseCustomLabels = 1
+# renderView1.AxesGrid.ZAxisLabels = [0.1, 0.2, 0.3, 0.4, 0.5,0.6,0.7 ,0.8,0.9, 1.0]
+renderView1.AxesGrid.ZAxisLabels = [0.25, 0.5, 0.75, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisNotation = 'Fixed'
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisPrecision = 1
+
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.AxesToLabel = 31
+
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 1
+#
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 0
+
+
+
+
+############### DATA AXIS GRID ##################
+# Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.GridAxesVisibility = 1
+#
+# # get opacity transfer function/opacity map for 'angles'
+# anglesPWF = GetOpacityTransferFunction('angles')
+# anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+# anglesPWF.AllowDuplicateScalars = 1
+# anglesPWF.UseLogScale = 0
+# anglesPWF.ScalarRangeInitialized = 1
+#
+# # Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.XTitle = '$\\theta_\\rho$'
+# transform1Display.DataAxesGrid.YTitle = '$\\theta_\\mu$'
+# transform1Display.DataAxesGrid.ZTitle = '$\\theta$'
+# # renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+# # renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+# # renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# transform1Display.DataAxesGrid.XTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.YTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.ZTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.XTitleFontSize = 45
+# transform1Display.DataAxesGrid.YTitleFontSize = 45
+# transform1Display.DataAxesGrid.ZTitleFontSize = 45
+# transform1Display.DataAxesGrid.FacesToRender = 7
+# transform1Display.DataAxesGrid.ShowGrid = 1
+#
+#
+
+
+# CHANGE GRID COLOR :
+# Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.FacesToRender = 60
+
+
+#### ------ LEGEND
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+# anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Vertical'
+# anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+# anglesLUTColorBar.Position = [0.89, 0.02]
+# anglesLUTColorBar.Title = 'angles'
+# anglesLUTColorBar.ComponentTitle = ''
+# anglesLUTColorBar.TitleJustification = 'Centered'
+# anglesLUTColorBar.HorizontalTitle = 0
+# anglesLUTColorBar.TitleOpacity = 1.0
+# anglesLUTColorBar.TitleFontFamily = 'Arial'
+# anglesLUTColorBar.TitleFontFile = ''
+# anglesLUTColorBar.TitleBold = 0
+# anglesLUTColorBar.TitleItalic = 0
+# anglesLUTColorBar.TitleShadow = 0
+# anglesLUTColorBar.TitleFontSize = 16
+# anglesLUTColorBar.LabelOpacity = 1.0
+# anglesLUTColorBar.LabelFontFamily = 'Arial'
+# anglesLUTColorBar.LabelFontFile = ''
+# anglesLUTColorBar.LabelBold = 0
+# anglesLUTColorBar.LabelItalic = 0
+# anglesLUTColorBar.LabelShadow = 0
+# anglesLUTColorBar.LabelFontSize = 16
+# anglesLUTColorBar.AutomaticLabelFormat = 1
+# anglesLUTColorBar.LabelFormat = '%-#6.3g'
+# anglesLUTColorBar.DrawTickMarks = 1
+# anglesLUTColorBar.DrawTickLabels = 1
+# anglesLUTColorBar.UseCustomLabels = 0
+# anglesLUTColorBar.CustomLabels = []
+# anglesLUTColorBar.AddRangeLabels = 1
+# anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+# anglesLUTColorBar.DrawAnnotations = 1
+# anglesLUTColorBar.AddRangeAnnotations = 0
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.DrawNanAnnotation = 0
+# anglesLUTColorBar.NanAnnotation = 'NaN'
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+# anglesLUTColorBar.ReverseLegend = 0
+# anglesLUTColorBar.ScalarBarThickness = 16
+# anglesLUTColorBar.ScalarBarLength = 0.33
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.TitleFontSize = 20
+# anglesLUTColorBar.ScalarBarThickness = 20
+# anglesLUTColorBar.ScalarBarLength = 0.7
+#
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+anglesLUT.InterpretValuesAsCategories = 0
+anglesLUT.AnnotationsInitialized = 0
+anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
+anglesLUT.RescaleOnVisibilityChange = 0
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.UseLogScale = 0
+anglesLUT.UseOpacityControlPointsFreehandDrawing = 0
+anglesLUT.ShowDataHistogram = 0
+anglesLUT.AutomaticDataHistogramComputation = 0
+anglesLUT.DataHistogramNumberOfBins = 10
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.UseBelowRangeColor = 0
+anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+anglesLUT.UseAboveRangeColor = 0
+anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.NanOpacity = 1.0
+anglesLUT.Discretize = 1
+anglesLUT.NumberOfTableValues = 256
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.HSVWrap = 0
+anglesLUT.VectorComponent = 0
+anglesLUT.VectorMode = 'Magnitude'
+anglesLUT.AllowDuplicateScalars = 1
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.ActiveAnnotatedValues = []
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 1
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = 'angles'
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Arial'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 20
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Arial'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 16
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 1
+anglesLUTColorBar.DrawTickLabels = 1
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 1
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.5
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.AddRangeLabels = 0
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.Title = '$\\alpha$'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontFamily = 'Times'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontSize = 30
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelFontSize = 25
+
+
+
+#horizontal BAR:
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Horizontal'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+
+
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 0
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = '$\\alpha$ '
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Times'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 24
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Times'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 19
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 0
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.7
+
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+
+
+# Properties modified on anglesLUTColorBar
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleOpacity = 0.9
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelColor = [0.0, 0.0, 0.0]
+
+
+
+#================================================================
+# addendum: following script captures some of the application
+# state to faithfully reproduce the visualization during playback
+#================================================================
+
+
+
+
+
+
+
+
+# get active source.
+transform1 = GetActiveSource()
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get display properties
+transform1Display = GetDisplayProperties(transform1, view=renderView1)
+
+# set scalar coloring
+ColorBy(transform1Display, ('POINTS', 'curvature'))
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+anglesLUT.InterpretValuesAsCategories = 0
+anglesLUT.AnnotationsInitialized = 0
+anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
+anglesLUT.RescaleOnVisibilityChange = 0
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.UseLogScale = 0
+anglesLUT.UseOpacityControlPointsFreehandDrawing = 0
+anglesLUT.ShowDataHistogram = 0
+anglesLUT.AutomaticDataHistogramComputation = 0
+anglesLUT.DataHistogramNumberOfBins = 10
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.UseBelowRangeColor = 0
+anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+anglesLUT.UseAboveRangeColor = 0
+anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.NanOpacity = 1.0
+anglesLUT.Discretize = 1
+anglesLUT.NumberOfTableValues = 256
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.HSVWrap = 0
+anglesLUT.VectorComponent = 0
+anglesLUT.VectorMode = 'Magnitude'
+anglesLUT.AllowDuplicateScalars = 1
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.ActiveAnnotatedValues = []
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# Hide the scalar bar for this color map if no visible data is colored by it.
+HideScalarBarIfNotNeeded(anglesLUT, renderView1)
+
+# rescale color and/or opacity maps used to include current data range
+transform1Display.RescaleTransferFunctionToDataRange(True, False)
+
+# show color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, True)
+
+
+
+
+
+
+
+
+# get color transfer function/color map for 'curvature'
+curvatureLUT = GetColorTransferFunction('curvature')
+curvatureLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+curvatureLUT.InterpretValuesAsCategories = 0
+curvatureLUT.AnnotationsInitialized = 0
+curvatureLUT.ShowCategoricalColorsinDataRangeOnly = 0
+curvatureLUT.RescaleOnVisibilityChange = 0
+curvatureLUT.EnableOpacityMapping = 0
+curvatureLUT.RGBPoints = [-22.487890958077486, 0.001462, 0.000466, 0.013866, -22.37029032265551, 0.002258, 0.001295, 0.018331, -22.252719672097232, 0.003279, 0.002305, 0.023708, -22.13511903667526, 0.004512, 0.00349, 0.029965, -22.017548386116978, 0.00595, 0.004843, 0.03713, -21.899947750695006, 0.007588, 0.006356, 0.044973, -21.78237710013673, 0.009426, 0.008022, 0.052844, -21.66477646471476, 0.011465, 0.009828, 0.06075, -21.547175829292776, 0.013708, 0.011771, 0.068667, -21.429605178734505, 0.016156, 0.01384, 0.076603, -21.31200454331253, 0.018815, 0.016026, 0.084584, -21.19443389275425, 0.021692, 0.01832, 0.09261, -21.076833257332275, 0.024792, 0.020715, 0.100676, -20.959262606773997, 0.028123, 0.023201, 0.108787, -20.841661971352025, 0.031696, 0.025765, 0.116965, -20.72406133593005, 0.03552, 0.028397, 0.125209, -20.60649068537177, 0.039608, 0.03109, 0.133515, -20.488890049949795, 0.04383, 0.03383, 0.141886, -20.371319399391517, 0.048062, 0.036607, 0.150327, -20.25371876396954, 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0.46919, -15.550203089773408, 0.284951, 0.063168, 0.472451, -15.432632439215126, 0.291366, 0.064553, 0.475462, -15.315031803793154, 0.29774, 0.066117, 0.478243, -15.19746115323488, 0.304081, 0.067835, 0.480812, -15.079860517812907, 0.310382, 0.069702, 0.483186, -14.962289867254627, 0.316654, 0.07169, 0.48538, -14.844689231832653, 0.322899, 0.073782, 0.487408, -14.727088596410677, 0.329114, 0.075972, 0.489287, -14.6095179458524, 0.335308, 0.078236, 0.491024, -14.491917310430425, 0.341482, 0.080564, 0.492631, -14.374346659872145, 0.347636, 0.082946, 0.494121, -14.256746024450171, 0.353773, 0.085373, 0.495501, -14.139175373891899, 0.359898, 0.087831, 0.496778, -14.021574738469917, 0.366012, 0.090314, 0.49796, -13.903974103047943, 0.372116, 0.092816, 0.499053, -13.78640345248967, 0.378211, 0.095332, 0.500067, -13.668802817067691, 0.384299, 0.097855, 0.501002, -13.551232166509418, 0.390384, 0.100379, 0.501864, -13.433631531087444, 0.396467, 0.102902, 0.502658, -13.316060880529164, 0.402548, 0.10542, 0.503386, -13.19846024510719, 0.408629, 0.10793, 0.504052, -13.08088959454891, 0.414709, 0.110431, 0.504662, -12.963288959126936, 0.420791, 0.11292, 0.505215, -12.845688323704962, 0.426877, 0.115395, 0.505714, -12.728117673146683, 0.432967, 0.117855, 0.50616, -12.610517037724708, 0.439062, 0.120298, 0.506555, -12.49294638716643, 0.445163, 0.122724, 0.506901, -12.375345751744455, 0.451271, 0.125132, 0.507198, -12.257775101186184, 0.457386, 0.127522, 0.507448, -12.140174465764202, 0.463508, 0.129893, 0.507652, -12.022573830342234, 0.46964, 0.132245, 0.507809, -11.905003179783956, 0.47578, 0.134577, 0.507921, -11.787402544361981, 0.481929, 0.136891, 0.507989, -11.669831893803702, 0.488088, 0.139186, 0.508011, -11.552231258381727, 0.494258, 0.141462, 0.507988, -11.434660607823448, 0.500438, 0.143719, 0.50792, -11.317059972401474, 0.506629, 0.145958, 0.507806, -11.1994593369795, 0.512831, 0.148179, 0.507648, -11.08188868642122, 0.519045, 0.150383, 0.507443, -10.964288050999246, 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+curvatureLUT.UseLogScale = 0
+curvatureLUT.UseOpacityControlPointsFreehandDrawing = 0
+curvatureLUT.ShowDataHistogram = 0
+curvatureLUT.AutomaticDataHistogramComputation = 0
+curvatureLUT.DataHistogramNumberOfBins = 10
+curvatureLUT.ColorSpace = 'RGB'
+curvatureLUT.UseBelowRangeColor = 0
+curvatureLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+curvatureLUT.UseAboveRangeColor = 0
+curvatureLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+curvatureLUT.NanColor = [0.0, 1.0, 0.0]
+curvatureLUT.NanOpacity = 1.0
+curvatureLUT.Discretize = 1
+curvatureLUT.NumberOfTableValues = 256
+curvatureLUT.ScalarRangeInitialized = 1.0
+curvatureLUT.HSVWrap = 0
+curvatureLUT.VectorComponent = 0
+curvatureLUT.VectorMode = 'Magnitude'
+curvatureLUT.AllowDuplicateScalars = 1
+curvatureLUT.Annotations = []
+curvatureLUT.ActiveAnnotatedValues = []
+curvatureLUT.IndexedColors = []
+curvatureLUT.IndexedOpacities = []
+
+# get opacity transfer function/opacity map for 'curvature'
+curvaturePWF = GetOpacityTransferFunction('curvature')
+curvaturePWF.Points = [-22.487890958077486, 0.8602941036224365, 0.5, 0.0, -16.076033351009407, 0.625, 0.5, 0.0, -11.644308534050879, 0.6691176295280457, 0.5, 0.0, -2.498981421762373, 0.8676470518112183, 0.5, 0.0, -0.4235583054517704, 0.6911764740943909, 0.5, 0.0, 7.4969727395193715, 0.8014705777168274, 0.5, 0.0]
+curvaturePWF.AllowDuplicateScalars = 1
+curvaturePWF.UseLogScale = 0
+curvaturePWF.ScalarRangeInitialized = 1
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+curvatureLUT.ApplyPreset('Plasma (matplotlib)', True)
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+# curvatureLUT.ApplyPreset('Spectrum Step', True)
+
+
+### LOG SCALE :
+
+# # convert to log space
+# curvatureLUT.MapControlPointsToLogSpace()
+#
+# # Properties modified on curvatureLUT
+# curvatureLUT.UseLogScale = 1
+
+
+
+#### LEGEND :
+
+# get color transfer function/color map for 'curvature'
+curvatureLUT = GetColorTransferFunction('curvature')
+curvatureLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+curvatureLUT.InterpretValuesAsCategories = 0
+curvatureLUT.AnnotationsInitialized = 0
+curvatureLUT.ShowCategoricalColorsinDataRangeOnly = 0
+curvatureLUT.RescaleOnVisibilityChange = 0
+curvatureLUT.EnableOpacityMapping = 0
+curvatureLUT.RGBPoints = [-22.487890958077486, 0.050383, 0.029803, 0.527975, -22.37029032265551, 0.063536, 0.028426, 0.533124, -22.252719672097236, 0.075353, 0.027206, 0.538007, -22.13511903667526, 0.086222, 0.026125, 0.542658, -22.01754838611698, 0.096379, 0.025165, 0.547103, -21.899947750695006, 0.10598, 0.024309, 0.551368, -21.782377100136728, 0.115124, 0.023556, 0.555468, -21.664776464714755, 0.123903, 0.022878, 0.559423, -21.54717582929278, 0.132381, 0.022258, 0.56325, -21.4296051787345, 0.140603, 0.021687, 0.566959, -21.31200454331253, 0.148607, 0.021154, 0.570562, -21.19443389275425, 0.156421, 0.020651, 0.574065, -21.076833257332275, 0.16407, 0.020171, 0.577478, -20.959262606773997, 0.171574, 0.019706, 0.580806, -20.841661971352025, 0.17895, 0.019252, 0.584054, -20.72406133593005, 0.186213, 0.018803, 0.587228, -20.60649068537177, 0.193374, 0.018354, 0.59033, -20.488890049949795, 0.200445, 0.017902, 0.593364, -20.37131939939152, 0.207435, 0.017442, 0.596333, -20.253718763969545, 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0.415712, 0.366407, -3.7914588815786168, 0.898984, 0.420392, 0.363047, -3.673858246156641, 0.901807, 0.425087, 0.359688, -3.556257610734665, 0.904601, 0.429797, 0.356329, -3.438686960176387, 0.907365, 0.434524, 0.35297, -3.3210863247544147, 0.910098, 0.439268, 0.34961, -3.2035156741961366, 0.9128, 0.444029, 0.346251, -3.0859150387741607, 0.915471, 0.448807, 0.34289, -2.9683443882158826, 0.918109, 0.453603, 0.339529, -2.8507437527939103, 0.920714, 0.458417, 0.336166, -2.7331431173719345, 0.923287, 0.463251, 0.332801, -2.6155724668136564, 0.925825, 0.468103, 0.329435, -2.4979718313916806, 0.928329, 0.472975, 0.326067, -2.380401180833406, 0.930798, 0.477867, 0.322697, -2.2628005454114266, 0.933232, 0.48278, 0.319325, -2.145229894853152, 0.93563, 0.487712, 0.315952, -2.0276292594311762, 0.93799, 0.492667, 0.312575, -1.910028624009204, 0.940313, 0.497642, 0.309197, -1.7924579734509258, 0.942598, 0.502639, 0.305816, -1.67485733802895, 0.944844, 0.507658, 0.302433, -1.5572866874706754, 0.947051, 0.512699, 0.299049, -1.4396860520486996, 0.949217, 0.517763, 0.295662, -1.3221154014904215, 0.951344, 0.52285, 0.292275, -1.2045147660684457, 0.953428, 0.52796, 0.288883, -1.0869441155101676, 0.95547, 0.533093, 0.28549, -0.9693434800881917, 0.957469, 0.53825, 0.282096, -0.8517428446662194, 0.959424, 0.543431, 0.278701, -0.7341721941079413, 0.961336, 0.548636, 0.275305, -0.616571558685969, 0.963203, 0.553865, 0.271909, -0.49900090812769093, 0.965024, 0.559118, 0.268513, -0.3814002727057151, 0.966798, 0.564396, 0.265118, -0.26382962214744055, 0.968526, 0.5697, 0.261721, -0.14622898672546114, 0.970205, 0.575028, 0.258325, -0.02862835130348884, 0.971835, 0.580382, 0.254931, 0.08894229925478925, 0.973416, 0.585761, 0.25154, 0.20654293467676155, 0.974947, 0.591165, 0.248151, 0.3241135852350432, 0.976428, 0.596595, 0.244767, 0.4417142206570155, 0.977856, 0.602051, 0.241387, 0.5592848712152936, 0.979233, 0.607532, 0.238013, 0.6768855066372694, 0.980556, 0.613039, 0.234646, 0.7944861420592453, 0.981826, 0.618572, 0.231287, 0.9120567926175198, 0.983041, 0.624131, 0.227937, 1.0296574280394957, 0.984199, 0.629718, 0.224595, 1.1472280785977738, 0.985301, 0.63533, 0.221265, 1.2648287140197496, 0.986345, 0.640969, 0.217948, 1.3823993645780241, 0.987332, 0.646633, 0.214648, 1.5, 0.98826, 0.652325, 0.211364, 1.6176006354219759, 0.989128, 0.658043, 0.2081, 1.7351712859802504, 0.989935, 0.663787, 0.204859, 1.8527719214022262, 0.990681, 0.669558, 0.201642, 1.9703425719605043, 0.991365, 0.675355, 0.198453, 2.08794320738248, 0.991985, 0.681179, 0.195295, 2.2055138579407547, 0.992541, 0.68703, 0.19217, 2.323114493362734, 0.993032, 0.692907, 0.189084, 2.4407151287847064, 0.993456, 0.69881, 0.186041, 2.5582857793429845, 0.993814, 0.704741, 0.183043, 2.675886414764957, 0.994103, 0.710698, 0.180097, 2.793457065323235, 0.994324, 0.716681, 0.177208, 2.9110577007452108, 0.994474, 0.722691, 0.174381, 3.0286283513034853, 0.994553, 0.728728, 0.171622, 3.1462289867254647, 0.994561, 0.734791, 0.168938, 3.263829622147437, 0.994495, 0.74088, 0.166335, 3.381400272705715, 0.994355, 0.746995, 0.163821, 3.4990009081276874, 0.994141, 0.753137, 0.161404, 3.616571558685969, 0.993851, 0.759304, 0.159092, 3.7341721941079413, 0.993482, 0.765499, 0.156891, 3.8517428446662194, 0.993033, 0.77172, 0.154808, 3.9693434800881953, 0.992505, 0.777967, 0.152855, 4.086944115510171, 0.991897, 0.784239, 0.151042, 4.204514766068446, 0.991209, 0.790537, 0.149377, 4.3221154014904215, 0.990439, 0.796859, 0.14787, 4.4396860520487, 0.989587, 0.803205, 0.146529, 4.557286687470672, 0.988648, 0.809579, 0.145357, 4.67485733802895, 0.987621, 0.815978, 0.144363, 4.792457973450922, 0.986509, 0.822401, 0.143557, 4.910028624009204, 0.985314, 0.828846, 0.142945, 5.027629259431176, 0.984031, 0.835315, 0.142528, 5.145229894853152, 0.982653, 0.841812, 0.142303, 5.26280054541143, 0.98119, 0.848329, 0.142279, 5.380401180833406, 0.979644, 0.854866, 0.142453, 5.4979718313916806, 0.977995, 0.861432, 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+curvatureLUT.UseLogScale = 0
+curvatureLUT.UseOpacityControlPointsFreehandDrawing = 0
+curvatureLUT.ShowDataHistogram = 0
+curvatureLUT.AutomaticDataHistogramComputation = 0
+curvatureLUT.DataHistogramNumberOfBins = 10
+curvatureLUT.ColorSpace = 'Diverging'
+curvatureLUT.UseBelowRangeColor = 0
+curvatureLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+curvatureLUT.UseAboveRangeColor = 0
+curvatureLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+curvatureLUT.NanColor = [0.0, 1.0, 0.0]
+curvatureLUT.NanOpacity = 1.0
+curvatureLUT.Discretize = 1
+curvatureLUT.NumberOfTableValues = 256
+curvatureLUT.ScalarRangeInitialized = 1.0
+curvatureLUT.HSVWrap = 0
+curvatureLUT.VectorComponent = 0
+curvatureLUT.VectorMode = 'Magnitude'
+curvatureLUT.AllowDuplicateScalars = 1
+curvatureLUT.Annotations = []
+curvatureLUT.ActiveAnnotatedValues = []
+curvatureLUT.IndexedColors = []
+curvatureLUT.IndexedOpacities = []
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get color legend/bar for curvatureLUT in view renderView1
+curvatureLUTColorBar = GetScalarBar(curvatureLUT, renderView1)
+curvatureLUTColorBar.AutoOrient = 1
+curvatureLUTColorBar.Orientation = 'Vertical'
+curvatureLUTColorBar.WindowLocation = 'Lower Right Corner'
+curvatureLUTColorBar.Position = [0.89, 0.02]
+curvatureLUTColorBar.Title = 'curvature'
+curvatureLUTColorBar.ComponentTitle = ''
+curvatureLUTColorBar.TitleJustification = 'Centered'
+curvatureLUTColorBar.HorizontalTitle = 0
+curvatureLUTColorBar.TitleOpacity = 1.0
+curvatureLUTColorBar.TitleFontFamily = 'Arial'
+curvatureLUTColorBar.TitleFontFile = ''
+curvatureLUTColorBar.TitleBold = 0
+curvatureLUTColorBar.TitleItalic = 0
+curvatureLUTColorBar.TitleShadow = 0
+curvatureLUTColorBar.TitleFontSize = 16
+curvatureLUTColorBar.LabelOpacity = 1.0
+curvatureLUTColorBar.LabelFontFamily = 'Arial'
+curvatureLUTColorBar.LabelFontFile = ''
+curvatureLUTColorBar.LabelBold = 0
+curvatureLUTColorBar.LabelItalic = 0
+curvatureLUTColorBar.LabelShadow = 0
+curvatureLUTColorBar.LabelFontSize = 16
+curvatureLUTColorBar.AutomaticLabelFormat = 1
+curvatureLUTColorBar.LabelFormat = '%-#6.3g'
+curvatureLUTColorBar.DrawTickMarks = 1
+curvatureLUTColorBar.DrawTickLabels = 1
+curvatureLUTColorBar.UseCustomLabels = 0
+curvatureLUTColorBar.CustomLabels = []
+curvatureLUTColorBar.AddRangeLabels = 1
+curvatureLUTColorBar.RangeLabelFormat = '%-#6.1e'
+curvatureLUTColorBar.DrawAnnotations = 1
+curvatureLUTColorBar.AddRangeAnnotations = 0
+curvatureLUTColorBar.AutomaticAnnotations = 0
+curvatureLUTColorBar.DrawNanAnnotation = 0
+curvatureLUTColorBar.NanAnnotation = 'NaN'
+curvatureLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+curvatureLUTColorBar.ReverseLegend = 0
+curvatureLUTColorBar.ScalarBarThickness = 16
+curvatureLUTColorBar.ScalarBarLength = 0.33
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.Title = '$\\kappa$'
+curvatureLUTColorBar.HorizontalTitle = 1
+curvatureLUTColorBar.TitleFontFamily = 'Times'
+curvatureLUTColorBar.TitleFontSize = 30
+curvatureLUTColorBar.LabelFontFamily = 'Times'
+curvatureLUTColorBar.LabelFontSize = 25
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.TitleJustification = 'Left'
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.ScalarBarThickness = 20
+curvatureLUTColorBar.ScalarBarLength = 0.7
+
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.AddRangeLabels = 1
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.AddRangeLabels = 0
+
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+
+# Properties modified on curvatureLUTColorBar
+# curvatureLUTColorBar.TitleJustification = 'Centered'
+
+# Properties modified on curvatureLUTColorBar
+curvatureLUTColorBar.AutoOrient = 1
+curvatureLUTColorBar.TitleJustification = 'Right'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+
+
+
+## TEST CHange COLORBAR Position
+
+
+# get color legend/bar for curvatureLUT in view renderView1
+curvatureLUTColorBar = GetScalarBar(curvatureLUT, renderView1)
+curvatureLUTColorBar.AutoOrient = 1
+curvatureLUTColorBar.Orientation = 'Vertical'
+curvatureLUTColorBar.WindowLocation = 'Any Location'
+curvatureLUTColorBar.Position = [0.89, 0.02]
+curvatureLUTColorBar.Title = '$\\kappa$'
+curvatureLUTColorBar.ComponentTitle = ''
+curvatureLUTColorBar.TitleJustification = 'Right'
+curvatureLUTColorBar.HorizontalTitle = 1
+curvatureLUTColorBar.TitleOpacity = 1.0
+curvatureLUTColorBar.TitleFontFamily = 'Times'
+curvatureLUTColorBar.TitleFontFile = ''
+curvatureLUTColorBar.TitleBold = 0
+curvatureLUTColorBar.TitleItalic = 0
+curvatureLUTColorBar.TitleShadow = 0
+curvatureLUTColorBar.TitleFontSize = 30
+curvatureLUTColorBar.LabelOpacity = 1.0
+curvatureLUTColorBar.LabelFontFamily = 'Times'
+curvatureLUTColorBar.LabelFontFile = ''
+curvatureLUTColorBar.LabelBold = 0
+curvatureLUTColorBar.LabelItalic = 0
+curvatureLUTColorBar.LabelShadow = 0
+curvatureLUTColorBar.LabelFontSize = 25
+curvatureLUTColorBar.AutomaticLabelFormat = 1
+curvatureLUTColorBar.LabelFormat = '%-#6.3g'
+curvatureLUTColorBar.DrawTickMarks = 1
+curvatureLUTColorBar.DrawTickLabels = 1
+curvatureLUTColorBar.UseCustomLabels = 0
+curvatureLUTColorBar.CustomLabels = []
+curvatureLUTColorBar.AddRangeLabels = 0
+curvatureLUTColorBar.RangeLabelFormat = '%-#6.1e'
+curvatureLUTColorBar.DrawAnnotations = 0
+curvatureLUTColorBar.AddRangeAnnotations = 0
+curvatureLUTColorBar.AutomaticAnnotations = 0
+curvatureLUTColorBar.DrawNanAnnotation = 0
+curvatureLUTColorBar.NanAnnotation = 'NaN'
+curvatureLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+curvatureLUTColorBar.ReverseLegend = 0
+curvatureLUTColorBar.ScalarBarThickness = 20
+curvatureLUTColorBar.ScalarBarLength = 0.7
+
+# change scalar bar placement
+curvatureLUTColorBar.Position = [0.96, 0.0]
+
+
+
+
+if isosurface :
+
+ #################################### ADD ISOSURFACE ##########################
+ # find source
+ transform1 = FindSource('Transform1')
+
+ # create a new 'Contour'
+ contour1 = Contour(registrationName='Contour1', Input=transform1)
+ contour1.ContourBy = ['POINTS', 'Type']
+ contour1.ComputeNormals = 1
+ contour1.ComputeGradients = 0
+ contour1.ComputeScalars = 1
+ contour1.OutputPointsPrecision = 'Same as input'
+ contour1.GenerateTriangles = 1
+ contour1.Isosurfaces = [1.0]
+ contour1.PointMergeMethod = 'Uniform Binning'
+
+ # init the 'Uniform Binning' selected for 'PointMergeMethod'
+ contour1.PointMergeMethod.Divisions = [50, 50, 50]
+ contour1.PointMergeMethod.Numberofpointsperbucket = 8
+
+ # find source
+ xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+ # Properties modified on xMLStructuredGridReader1
+ xMLStructuredGridReader1.TimeArray = 'None'
+
+ # Properties modified on contour1
+ contour1.ContourBy = ['POINTS', 'curvature']
+ contour1.Isosurfaces = [0.0]
+
+ # get active view
+ renderView1 = GetActiveViewOrCreate('RenderView')
+
+ # show data in view
+ contour1Display = Show(contour1, renderView1, 'GeometryRepresentation')
+
+ # get color transfer function/color map for 'curvature'
+ curvatureLUT = GetColorTransferFunction('curvature')
+ curvatureLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+ curvatureLUT.InterpretValuesAsCategories = 0
+ curvatureLUT.AnnotationsInitialized = 0
+ curvatureLUT.ShowCategoricalColorsinDataRangeOnly = 0
+ curvatureLUT.RescaleOnVisibilityChange = 0
+ curvatureLUT.EnableOpacityMapping = 0
+ curvatureLUT.RGBPoints = [-22.487890958077486, 0.050383, 0.029803, 0.527975, -22.37029032265551, 0.063536, 0.028426, 0.533124, -22.252719672097236, 0.075353, 0.027206, 0.538007, -22.13511903667526, 0.086222, 0.026125, 0.542658, -22.01754838611698, 0.096379, 0.025165, 0.547103, -21.899947750695006, 0.10598, 0.024309, 0.551368, -21.782377100136728, 0.115124, 0.023556, 0.555468, -21.664776464714755, 0.123903, 0.022878, 0.559423, -21.54717582929278, 0.132381, 0.022258, 0.56325, -21.4296051787345, 0.140603, 0.021687, 0.566959, -21.31200454331253, 0.148607, 0.021154, 0.570562, -21.19443389275425, 0.156421, 0.020651, 0.574065, -21.076833257332275, 0.16407, 0.020171, 0.577478, -20.959262606773997, 0.171574, 0.019706, 0.580806, -20.841661971352025, 0.17895, 0.019252, 0.584054, -20.72406133593005, 0.186213, 0.018803, 0.587228, -20.60649068537177, 0.193374, 0.018354, 0.59033, -20.488890049949795, 0.200445, 0.017902, 0.593364, -20.37131939939152, 0.207435, 0.017442, 0.596333, 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0.234646, 0.7944861420592453, 0.981826, 0.618572, 0.231287, 0.9120567926175198, 0.983041, 0.624131, 0.227937, 1.0296574280394957, 0.984199, 0.629718, 0.224595, 1.1472280785977738, 0.985301, 0.63533, 0.221265, 1.2648287140197496, 0.986345, 0.640969, 0.217948, 1.3823993645780241, 0.987332, 0.646633, 0.214648, 1.5, 0.98826, 0.652325, 0.211364, 1.6176006354219759, 0.989128, 0.658043, 0.2081, 1.7351712859802504, 0.989935, 0.663787, 0.204859, 1.8527719214022262, 0.990681, 0.669558, 0.201642, 1.9703425719605043, 0.991365, 0.675355, 0.198453, 2.08794320738248, 0.991985, 0.681179, 0.195295, 2.2055138579407547, 0.992541, 0.68703, 0.19217, 2.323114493362734, 0.993032, 0.692907, 0.189084, 2.4407151287847064, 0.993456, 0.69881, 0.186041, 2.5582857793429845, 0.993814, 0.704741, 0.183043, 2.675886414764957, 0.994103, 0.710698, 0.180097, 2.793457065323235, 0.994324, 0.716681, 0.177208, 2.9110577007452108, 0.994474, 0.722691, 0.174381, 3.0286283513034853, 0.994553, 0.728728, 0.171622, 3.1462289867254647, 0.994561, 0.734791, 0.168938, 3.263829622147437, 0.994495, 0.74088, 0.166335, 3.381400272705715, 0.994355, 0.746995, 0.163821, 3.4990009081276874, 0.994141, 0.753137, 0.161404, 3.616571558685969, 0.993851, 0.759304, 0.159092, 3.7341721941079413, 0.993482, 0.765499, 0.156891, 3.8517428446662194, 0.993033, 0.77172, 0.154808, 3.9693434800881953, 0.992505, 0.777967, 0.152855, 4.086944115510171, 0.991897, 0.784239, 0.151042, 4.204514766068446, 0.991209, 0.790537, 0.149377, 4.3221154014904215, 0.990439, 0.796859, 0.14787, 4.4396860520487, 0.989587, 0.803205, 0.146529, 4.557286687470672, 0.988648, 0.809579, 0.145357, 4.67485733802895, 0.987621, 0.815978, 0.144363, 4.792457973450922, 0.986509, 0.822401, 0.143557, 4.910028624009204, 0.985314, 0.828846, 0.142945, 5.027629259431176, 0.984031, 0.835315, 0.142528, 5.145229894853152, 0.982653, 0.841812, 0.142303, 5.26280054541143, 0.98119, 0.848329, 0.142279, 5.380401180833406, 0.979644, 0.854866, 0.142453, 5.4979718313916806, 0.977995, 0.861432, 0.142808, 5.615572466813656, 0.976265, 0.868016, 0.143351, 5.7331431173719345, 0.974443, 0.874622, 0.144061, 5.85074375279391, 0.97253, 0.88125, 0.144923, 5.968344388215883, 0.970533, 0.887896, 0.145919, 6.085915038774161, 0.968443, 0.894564, 0.147014, 6.203515674196137, 0.966271, 0.901249, 0.14818, 6.321086324754411, 0.964021, 0.90795, 0.14937, 6.438686960176387, 0.961681, 0.914672, 0.15052, 6.556257610734665, 0.959276, 0.921407, 0.151566, 6.673858246156641, 0.956808, 0.928152, 0.152409, 6.791458881578613, 0.954287, 0.934908, 0.152921, 6.909029532136895, 0.951726, 0.941671, 0.152925, 7.026630167558867, 0.949151, 0.948435, 0.152178, 7.144200818117145, 0.946602, 0.95519, 0.150328, 7.2618014535391175, 0.944152, 0.961916, 0.146861, 7.379372104097396, 0.941896, 0.96859, 0.140956, 7.4969727395193715, 0.940015, 0.975158, 0.131326]
+ curvatureLUT.UseLogScale = 0
+ curvatureLUT.UseOpacityControlPointsFreehandDrawing = 0
+ curvatureLUT.ShowDataHistogram = 0
+ curvatureLUT.AutomaticDataHistogramComputation = 0
+ curvatureLUT.DataHistogramNumberOfBins = 10
+ curvatureLUT.ColorSpace = 'Diverging'
+ curvatureLUT.UseBelowRangeColor = 0
+ curvatureLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+ curvatureLUT.UseAboveRangeColor = 0
+ curvatureLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+ curvatureLUT.NanColor = [0.0, 1.0, 0.0]
+ curvatureLUT.NanOpacity = 1.0
+ curvatureLUT.Discretize = 1
+ curvatureLUT.NumberOfTableValues = 256
+ curvatureLUT.ScalarRangeInitialized = 1.0
+ curvatureLUT.HSVWrap = 0
+ curvatureLUT.VectorComponent = 0
+ curvatureLUT.VectorMode = 'Magnitude'
+ curvatureLUT.AllowDuplicateScalars = 1
+ curvatureLUT.Annotations = []
+ curvatureLUT.ActiveAnnotatedValues = []
+ curvatureLUT.IndexedColors = []
+ curvatureLUT.IndexedOpacities = []
+
+ # trace defaults for the display properties.
+ contour1Display.Selection = None
+ contour1Display.Representation = 'Surface'
+ contour1Display.ColorArrayName = ['POINTS', 'curvature']
+ contour1Display.LookupTable = curvatureLUT
+ contour1Display.MapScalars = 1
+ contour1Display.MultiComponentsMapping = 0
+ contour1Display.InterpolateScalarsBeforeMapping = 1
+ contour1Display.Opacity = 1.0
+ contour1Display.PointSize = 2.0
+ contour1Display.LineWidth = 1.0
+ contour1Display.RenderLinesAsTubes = 0
+ contour1Display.RenderPointsAsSpheres = 0
+ contour1Display.Interpolation = 'Gouraud'
+ contour1Display.Specular = 0.0
+ contour1Display.SpecularColor = [1.0, 1.0, 1.0]
+ contour1Display.SpecularPower = 100.0
+ contour1Display.Luminosity = 0.0
+ contour1Display.Ambient = 0.0
+ contour1Display.Diffuse = 1.0
+ contour1Display.Roughness = 0.3
+ contour1Display.Metallic = 0.0
+ contour1Display.EdgeTint = [1.0, 1.0, 1.0]
+ contour1Display.Anisotropy = 0.0
+ contour1Display.AnisotropyRotation = 0.0
+ contour1Display.BaseIOR = 1.5
+ contour1Display.CoatStrength = 0.0
+ contour1Display.CoatIOR = 2.0
+ contour1Display.CoatRoughness = 0.0
+ contour1Display.CoatColor = [1.0, 1.0, 1.0]
+ contour1Display.SelectTCoordArray = 'None'
+ contour1Display.SelectNormalArray = 'Normals'
+ contour1Display.SelectTangentArray = 'None'
+ contour1Display.Texture = None
+ contour1Display.RepeatTextures = 1
+ contour1Display.InterpolateTextures = 0
+ contour1Display.SeamlessU = 0
+ contour1Display.SeamlessV = 0
+ contour1Display.UseMipmapTextures = 0
+ contour1Display.ShowTexturesOnBackface = 1
+ contour1Display.BaseColorTexture = None
+ contour1Display.NormalTexture = None
+ contour1Display.NormalScale = 1.0
+ contour1Display.CoatNormalTexture = None
+ contour1Display.CoatNormalScale = 1.0
+ contour1Display.MaterialTexture = None
+ contour1Display.OcclusionStrength = 1.0
+ contour1Display.AnisotropyTexture = None
+ contour1Display.EmissiveTexture = None
+ contour1Display.EmissiveFactor = [1.0, 1.0, 1.0]
+ contour1Display.FlipTextures = 0
+ contour1Display.BackfaceRepresentation = 'Follow Frontface'
+ contour1Display.BackfaceAmbientColor = [1.0, 1.0, 1.0]
+ contour1Display.BackfaceOpacity = 1.0
+ contour1Display.Position = [0.0, 0.0, 0.0]
+ contour1Display.Scale = [1.0, 1.0, 1.0]
+ contour1Display.Orientation = [0.0, 0.0, 0.0]
+ contour1Display.Origin = [0.0, 0.0, 0.0]
+ contour1Display.CoordinateShiftScaleMethod = 'Always Auto Shift Scale'
+ contour1Display.Pickable = 1
+ contour1Display.Triangulate = 0
+ contour1Display.UseShaderReplacements = 0
+ contour1Display.ShaderReplacements = ''
+ contour1Display.NonlinearSubdivisionLevel = 1
+ contour1Display.UseDataPartitions = 0
+ contour1Display.OSPRayUseScaleArray = 'All Approximate'
+ contour1Display.OSPRayScaleArray = 'curvature'
+ contour1Display.OSPRayScaleFunction = 'PiecewiseFunction'
+ contour1Display.OSPRayMaterial = 'None'
+ contour1Display.BlockSelectors = ['/']
+ contour1Display.BlockColors = []
+ contour1Display.BlockOpacities = []
+ contour1Display.Orient = 0
+ contour1Display.OrientationMode = 'Direction'
+ contour1Display.SelectOrientationVectors = 'None'
+ contour1Display.Scaling = 0
+ contour1Display.ScaleMode = 'No Data Scaling Off'
+ contour1Display.ScaleFactor = 0.098
+ contour1Display.SelectScaleArray = 'curvature'
+ contour1Display.GlyphType = 'Arrow'
+ contour1Display.UseGlyphTable = 0
+ contour1Display.GlyphTableIndexArray = 'curvature'
+ contour1Display.UseCompositeGlyphTable = 0
+ contour1Display.UseGlyphCullingAndLOD = 0
+ contour1Display.LODValues = []
+ contour1Display.ColorByLODIndex = 0
+ contour1Display.GaussianRadius = 0.0049
+ contour1Display.ShaderPreset = 'Sphere'
+ contour1Display.CustomTriangleScale = 3
+ contour1Display.CustomShader = """ // This custom shader code define a gaussian blur
+ // Please take a look into vtkSMPointGaussianRepresentation.cxx
+ // for other custom shader examples
+ //VTK::Color::Impl
+ float dist2 = dot(offsetVCVSOutput.xy,offsetVCVSOutput.xy);
+ float gaussian = exp(-0.5*dist2);
+ opacity = opacity*gaussian;
+ """
+ contour1Display.Emissive = 0
+ contour1Display.ScaleByArray = 0
+ contour1Display.SetScaleArray = ['POINTS', 'curvature']
+ contour1Display.ScaleArrayComponent = ''
+ contour1Display.UseScaleFunction = 1
+ contour1Display.ScaleTransferFunction = 'PiecewiseFunction'
+ contour1Display.OpacityByArray = 0
+ contour1Display.OpacityArray = ['POINTS', 'curvature']
+ contour1Display.OpacityArrayComponent = ''
+ contour1Display.OpacityTransferFunction = 'PiecewiseFunction'
+ contour1Display.DataAxesGrid = 'GridAxesRepresentation'
+ contour1Display.SelectionCellLabelBold = 0
+ contour1Display.SelectionCellLabelColor = [0.0, 1.0, 0.0]
+ contour1Display.SelectionCellLabelFontFamily = 'Arial'
+ contour1Display.SelectionCellLabelFontFile = ''
+ contour1Display.SelectionCellLabelFontSize = 18
+ contour1Display.SelectionCellLabelItalic = 0
+ contour1Display.SelectionCellLabelJustification = 'Left'
+ contour1Display.SelectionCellLabelOpacity = 1.0
+ contour1Display.SelectionCellLabelShadow = 0
+ contour1Display.SelectionPointLabelBold = 0
+ contour1Display.SelectionPointLabelColor = [1.0, 1.0, 0.0]
+ contour1Display.SelectionPointLabelFontFamily = 'Arial'
+ contour1Display.SelectionPointLabelFontFile = ''
+ contour1Display.SelectionPointLabelFontSize = 18
+ contour1Display.SelectionPointLabelItalic = 0
+ contour1Display.SelectionPointLabelJustification = 'Left'
+ contour1Display.SelectionPointLabelOpacity = 1.0
+ contour1Display.SelectionPointLabelShadow = 0
+ contour1Display.PolarAxes = 'PolarAxesRepresentation'
+
+ # init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
+ contour1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
+ contour1Display.OSPRayScaleFunction.UseLogScale = 0
+
+ # init the 'Arrow' selected for 'GlyphType'
+ contour1Display.GlyphType.TipResolution = 6
+ contour1Display.GlyphType.TipRadius = 0.1
+ contour1Display.GlyphType.TipLength = 0.35
+ contour1Display.GlyphType.ShaftResolution = 6
+ contour1Display.GlyphType.ShaftRadius = 0.03
+ contour1Display.GlyphType.Invert = 0
+
+ # init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
+ contour1Display.ScaleTransferFunction.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 2.5142493840581125e-39, 0.625, 0.5, 0.0, 4.252039284300157e-39, 0.6691176295280457, 0.5, 0.0, 7.838150278676329e-39, 0.8676470518112183, 0.5, 0.0, 8.651975477491057e-39, 0.6911764740943909, 0.5, 0.0, 1.1757813367477812e-38, 0.8014705777168274, 0.5, 0.0]
+ contour1Display.ScaleTransferFunction.UseLogScale = 0
+
+ # init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
+ contour1Display.OpacityTransferFunction.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 2.5142493840581125e-39, 0.625, 0.5, 0.0, 4.252039284300157e-39, 0.6691176295280457, 0.5, 0.0, 7.838150278676329e-39, 0.8676470518112183, 0.5, 0.0, 8.651975477491057e-39, 0.6911764740943909, 0.5, 0.0, 1.1757813367477812e-38, 0.8014705777168274, 0.5, 0.0]
+ contour1Display.OpacityTransferFunction.UseLogScale = 0
+
+ # init the 'GridAxesRepresentation' selected for 'DataAxesGrid'
+ contour1Display.DataAxesGrid.XTitle = 'X Axis'
+ contour1Display.DataAxesGrid.YTitle = 'Y Axis'
+ contour1Display.DataAxesGrid.ZTitle = 'Z Axis'
+ contour1Display.DataAxesGrid.XTitleFontFamily = 'Arial'
+ contour1Display.DataAxesGrid.XTitleFontFile = ''
+ contour1Display.DataAxesGrid.XTitleBold = 0
+ contour1Display.DataAxesGrid.XTitleItalic = 0
+ contour1Display.DataAxesGrid.XTitleFontSize = 12
+ contour1Display.DataAxesGrid.XTitleShadow = 0
+ contour1Display.DataAxesGrid.XTitleOpacity = 1.0
+ contour1Display.DataAxesGrid.YTitleFontFamily = 'Arial'
+ contour1Display.DataAxesGrid.YTitleFontFile = ''
+ contour1Display.DataAxesGrid.YTitleBold = 0
+ contour1Display.DataAxesGrid.YTitleItalic = 0
+ contour1Display.DataAxesGrid.YTitleFontSize = 12
+ contour1Display.DataAxesGrid.YTitleShadow = 0
+ contour1Display.DataAxesGrid.YTitleOpacity = 1.0
+ contour1Display.DataAxesGrid.ZTitleFontFamily = 'Arial'
+ contour1Display.DataAxesGrid.ZTitleFontFile = ''
+ contour1Display.DataAxesGrid.ZTitleBold = 0
+ contour1Display.DataAxesGrid.ZTitleItalic = 0
+ contour1Display.DataAxesGrid.ZTitleFontSize = 12
+ contour1Display.DataAxesGrid.ZTitleShadow = 0
+ contour1Display.DataAxesGrid.ZTitleOpacity = 1.0
+ contour1Display.DataAxesGrid.FacesToRender = 63
+ contour1Display.DataAxesGrid.CullBackface = 0
+ contour1Display.DataAxesGrid.CullFrontface = 1
+ contour1Display.DataAxesGrid.ShowGrid = 0
+ contour1Display.DataAxesGrid.ShowEdges = 1
+ contour1Display.DataAxesGrid.ShowTicks = 1
+ contour1Display.DataAxesGrid.LabelUniqueEdgesOnly = 1
+ contour1Display.DataAxesGrid.AxesToLabel = 63
+ contour1Display.DataAxesGrid.XLabelFontFamily = 'Arial'
+ contour1Display.DataAxesGrid.XLabelFontFile = ''
+ contour1Display.DataAxesGrid.XLabelBold = 0
+ contour1Display.DataAxesGrid.XLabelItalic = 0
+ contour1Display.DataAxesGrid.XLabelFontSize = 12
+ contour1Display.DataAxesGrid.XLabelShadow = 0
+ contour1Display.DataAxesGrid.XLabelOpacity = 1.0
+ contour1Display.DataAxesGrid.YLabelFontFamily = 'Arial'
+ contour1Display.DataAxesGrid.YLabelFontFile = ''
+ contour1Display.DataAxesGrid.YLabelBold = 0
+ contour1Display.DataAxesGrid.YLabelItalic = 0
+ contour1Display.DataAxesGrid.YLabelFontSize = 12
+ contour1Display.DataAxesGrid.YLabelShadow = 0
+ contour1Display.DataAxesGrid.YLabelOpacity = 1.0
+ contour1Display.DataAxesGrid.ZLabelFontFamily = 'Arial'
+ contour1Display.DataAxesGrid.ZLabelFontFile = ''
+ contour1Display.DataAxesGrid.ZLabelBold = 0
+ contour1Display.DataAxesGrid.ZLabelItalic = 0
+ contour1Display.DataAxesGrid.ZLabelFontSize = 12
+ contour1Display.DataAxesGrid.ZLabelShadow = 0
+ contour1Display.DataAxesGrid.ZLabelOpacity = 1.0
+ contour1Display.DataAxesGrid.XAxisNotation = 'Mixed'
+ contour1Display.DataAxesGrid.XAxisPrecision = 2
+ contour1Display.DataAxesGrid.XAxisUseCustomLabels = 0
+ contour1Display.DataAxesGrid.XAxisLabels = []
+ contour1Display.DataAxesGrid.YAxisNotation = 'Mixed'
+ contour1Display.DataAxesGrid.YAxisPrecision = 2
+ contour1Display.DataAxesGrid.YAxisUseCustomLabels = 0
+ contour1Display.DataAxesGrid.YAxisLabels = []
+ contour1Display.DataAxesGrid.ZAxisNotation = 'Mixed'
+ contour1Display.DataAxesGrid.ZAxisPrecision = 2
+ contour1Display.DataAxesGrid.ZAxisUseCustomLabels = 0
+ contour1Display.DataAxesGrid.ZAxisLabels = []
+ contour1Display.DataAxesGrid.UseCustomBounds = 0
+ contour1Display.DataAxesGrid.CustomBounds = [0.0, 1.0, 0.0, 1.0, 0.0, 1.0]
+
+ # init the 'PolarAxesRepresentation' selected for 'PolarAxes'
+ contour1Display.PolarAxes.Visibility = 0
+ contour1Display.PolarAxes.Translation = [0.0, 0.0, 0.0]
+ contour1Display.PolarAxes.Scale = [1.0, 1.0, 1.0]
+ contour1Display.PolarAxes.Orientation = [0.0, 0.0, 0.0]
+ contour1Display.PolarAxes.EnableCustomBounds = [0, 0, 0]
+ contour1Display.PolarAxes.CustomBounds = [0.0, 1.0, 0.0, 1.0, 0.0, 1.0]
+ contour1Display.PolarAxes.EnableCustomRange = 0
+ contour1Display.PolarAxes.CustomRange = [0.0, 1.0]
+ contour1Display.PolarAxes.PolarAxisVisibility = 1
+ contour1Display.PolarAxes.RadialAxesVisibility = 1
+ contour1Display.PolarAxes.DrawRadialGridlines = 1
+ contour1Display.PolarAxes.PolarArcsVisibility = 1
+ contour1Display.PolarAxes.DrawPolarArcsGridlines = 1
+ contour1Display.PolarAxes.NumberOfRadialAxes = 0
+ contour1Display.PolarAxes.AutoSubdividePolarAxis = 1
+ contour1Display.PolarAxes.NumberOfPolarAxis = 0
+ contour1Display.PolarAxes.MinimumRadius = 0.0
+ contour1Display.PolarAxes.MinimumAngle = 0.0
+ contour1Display.PolarAxes.MaximumAngle = 90.0
+ contour1Display.PolarAxes.RadialAxesOriginToPolarAxis = 1
+ contour1Display.PolarAxes.Ratio = 1.0
+ contour1Display.PolarAxes.PolarAxisColor = [1.0, 1.0, 1.0]
+ contour1Display.PolarAxes.PolarArcsColor = [1.0, 1.0, 1.0]
+ contour1Display.PolarAxes.LastRadialAxisColor = [1.0, 1.0, 1.0]
+ contour1Display.PolarAxes.SecondaryPolarArcsColor = [1.0, 1.0, 1.0]
+ contour1Display.PolarAxes.SecondaryRadialAxesColor = [1.0, 1.0, 1.0]
+ contour1Display.PolarAxes.PolarAxisTitleVisibility = 1
+ contour1Display.PolarAxes.PolarAxisTitle = 'Radial Distance'
+ contour1Display.PolarAxes.PolarAxisTitleLocation = 'Bottom'
+ contour1Display.PolarAxes.PolarLabelVisibility = 1
+ contour1Display.PolarAxes.PolarLabelFormat = '%-#6.3g'
+ contour1Display.PolarAxes.PolarLabelExponentLocation = 'Labels'
+ contour1Display.PolarAxes.RadialLabelVisibility = 1
+ contour1Display.PolarAxes.RadialLabelFormat = '%-#3.1f'
+ contour1Display.PolarAxes.RadialLabelLocation = 'Bottom'
+ contour1Display.PolarAxes.RadialUnitsVisibility = 1
+ contour1Display.PolarAxes.ScreenSize = 10.0
+ contour1Display.PolarAxes.PolarAxisTitleOpacity = 1.0
+ contour1Display.PolarAxes.PolarAxisTitleFontFamily = 'Arial'
+ contour1Display.PolarAxes.PolarAxisTitleFontFile = ''
+ contour1Display.PolarAxes.PolarAxisTitleBold = 0
+ contour1Display.PolarAxes.PolarAxisTitleItalic = 0
+ contour1Display.PolarAxes.PolarAxisTitleShadow = 0
+ contour1Display.PolarAxes.PolarAxisTitleFontSize = 12
+ contour1Display.PolarAxes.PolarAxisLabelOpacity = 1.0
+ contour1Display.PolarAxes.PolarAxisLabelFontFamily = 'Arial'
+ contour1Display.PolarAxes.PolarAxisLabelFontFile = ''
+ contour1Display.PolarAxes.PolarAxisLabelBold = 0
+ contour1Display.PolarAxes.PolarAxisLabelItalic = 0
+ contour1Display.PolarAxes.PolarAxisLabelShadow = 0
+ contour1Display.PolarAxes.PolarAxisLabelFontSize = 12
+ contour1Display.PolarAxes.LastRadialAxisTextOpacity = 1.0
+ contour1Display.PolarAxes.LastRadialAxisTextFontFamily = 'Arial'
+ contour1Display.PolarAxes.LastRadialAxisTextFontFile = ''
+ contour1Display.PolarAxes.LastRadialAxisTextBold = 0
+ contour1Display.PolarAxes.LastRadialAxisTextItalic = 0
+ contour1Display.PolarAxes.LastRadialAxisTextShadow = 0
+ contour1Display.PolarAxes.LastRadialAxisTextFontSize = 12
+ contour1Display.PolarAxes.SecondaryRadialAxesTextOpacity = 1.0
+ contour1Display.PolarAxes.SecondaryRadialAxesTextFontFamily = 'Arial'
+ contour1Display.PolarAxes.SecondaryRadialAxesTextFontFile = ''
+ contour1Display.PolarAxes.SecondaryRadialAxesTextBold = 0
+ contour1Display.PolarAxes.SecondaryRadialAxesTextItalic = 0
+ contour1Display.PolarAxes.SecondaryRadialAxesTextShadow = 0
+ contour1Display.PolarAxes.SecondaryRadialAxesTextFontSize = 12
+ contour1Display.PolarAxes.EnableDistanceLOD = 1
+ contour1Display.PolarAxes.DistanceLODThreshold = 0.7
+ contour1Display.PolarAxes.EnableViewAngleLOD = 1
+ contour1Display.PolarAxes.ViewAngleLODThreshold = 0.7
+ contour1Display.PolarAxes.SmallestVisiblePolarAngle = 0.5
+ contour1Display.PolarAxes.PolarTicksVisibility = 1
+ contour1Display.PolarAxes.ArcTicksOriginToPolarAxis = 1
+ contour1Display.PolarAxes.TickLocation = 'Both'
+ contour1Display.PolarAxes.AxisTickVisibility = 1
+ contour1Display.PolarAxes.AxisMinorTickVisibility = 0
+ contour1Display.PolarAxes.ArcTickVisibility = 1
+ contour1Display.PolarAxes.ArcMinorTickVisibility = 0
+ contour1Display.PolarAxes.DeltaAngleMajor = 10.0
+ contour1Display.PolarAxes.DeltaAngleMinor = 5.0
+ contour1Display.PolarAxes.PolarAxisMajorTickSize = 0.0
+ contour1Display.PolarAxes.PolarAxisTickRatioSize = 0.3
+ contour1Display.PolarAxes.PolarAxisMajorTickThickness = 1.0
+ contour1Display.PolarAxes.PolarAxisTickRatioThickness = 0.5
+ contour1Display.PolarAxes.LastRadialAxisMajorTickSize = 0.0
+ contour1Display.PolarAxes.LastRadialAxisTickRatioSize = 0.3
+ contour1Display.PolarAxes.LastRadialAxisMajorTickThickness = 1.0
+ contour1Display.PolarAxes.LastRadialAxisTickRatioThickness = 0.5
+ contour1Display.PolarAxes.ArcMajorTickSize = 0.0
+ contour1Display.PolarAxes.ArcTickRatioSize = 0.3
+ contour1Display.PolarAxes.ArcMajorTickThickness = 1.0
+ contour1Display.PolarAxes.ArcTickRatioThickness = 0.5
+ contour1Display.PolarAxes.Use2DMode = 0
+ contour1Display.PolarAxes.UseLogAxis = 0
+
+ # show color bar/color legend
+ contour1Display.SetScalarBarVisibility(renderView1, True)
+
+ # update the view to ensure updated data information
+ renderView1.Update()
+
+ # get opacity transfer function/opacity map for 'curvature'
+ curvaturePWF = GetOpacityTransferFunction('curvature')
+ curvaturePWF.Points = [-22.487890958077486, 0.8602941036224365, 0.5, 0.0, -16.076033351009407, 0.625, 0.5, 0.0, -11.644308534050879, 0.6691176295280457, 0.5, 0.0, -2.498981421762373, 0.8676470518112183, 0.5, 0.0, -0.4235583054517704, 0.6911764740943909, 0.5, 0.0, 7.4969727395193715, 0.8014705777168274, 0.5, 0.0]
+ curvaturePWF.AllowDuplicateScalars = 1
+ curvaturePWF.UseLogScale = 0
+ curvaturePWF.ScalarRangeInitialized = 1
+
+ # create a new 'Extract Surface'
+ extractSurface1 = ExtractSurface(registrationName='ExtractSurface1', Input=contour1)
+ extractSurface1.PieceInvariant = 1
+ extractSurface1.NonlinearSubdivisionLevel = 1
+ extractSurface1.FastMode = 0
+ extractSurface1.UseGeometryFilter = 0
+
+ # show data in view
+ extractSurface1Display = Show(extractSurface1, renderView1, 'GeometryRepresentation')
+
+ # trace defaults for the display properties.
+ extractSurface1Display.Selection = None
+ extractSurface1Display.Representation = 'Surface'
+ extractSurface1Display.ColorArrayName = ['POINTS', 'curvature']
+ extractSurface1Display.LookupTable = curvatureLUT
+ extractSurface1Display.MapScalars = 1
+ extractSurface1Display.MultiComponentsMapping = 0
+ extractSurface1Display.InterpolateScalarsBeforeMapping = 1
+ extractSurface1Display.Opacity = 1.0
+ extractSurface1Display.PointSize = 2.0
+ extractSurface1Display.LineWidth = 1.0
+ extractSurface1Display.RenderLinesAsTubes = 0
+ extractSurface1Display.RenderPointsAsSpheres = 0
+ extractSurface1Display.Interpolation = 'Gouraud'
+ extractSurface1Display.Specular = 0.0
+ extractSurface1Display.SpecularColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.SpecularPower = 100.0
+ extractSurface1Display.Luminosity = 0.0
+ extractSurface1Display.Ambient = 0.0
+ extractSurface1Display.Diffuse = 1.0
+ extractSurface1Display.Roughness = 0.3
+ extractSurface1Display.Metallic = 0.0
+ extractSurface1Display.EdgeTint = [1.0, 1.0, 1.0]
+ extractSurface1Display.Anisotropy = 0.0
+ extractSurface1Display.AnisotropyRotation = 0.0
+ extractSurface1Display.BaseIOR = 1.5
+ extractSurface1Display.CoatStrength = 0.0
+ extractSurface1Display.CoatIOR = 2.0
+ extractSurface1Display.CoatRoughness = 0.0
+ extractSurface1Display.CoatColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.SelectTCoordArray = 'None'
+ extractSurface1Display.SelectNormalArray = 'Normals'
+ extractSurface1Display.SelectTangentArray = 'None'
+ extractSurface1Display.Texture = None
+ extractSurface1Display.RepeatTextures = 1
+ extractSurface1Display.InterpolateTextures = 0
+ extractSurface1Display.SeamlessU = 0
+ extractSurface1Display.SeamlessV = 0
+ extractSurface1Display.UseMipmapTextures = 0
+ extractSurface1Display.ShowTexturesOnBackface = 1
+ extractSurface1Display.BaseColorTexture = None
+ extractSurface1Display.NormalTexture = None
+ extractSurface1Display.NormalScale = 1.0
+ extractSurface1Display.CoatNormalTexture = None
+ extractSurface1Display.CoatNormalScale = 1.0
+ extractSurface1Display.MaterialTexture = None
+ extractSurface1Display.OcclusionStrength = 1.0
+ extractSurface1Display.AnisotropyTexture = None
+ extractSurface1Display.EmissiveTexture = None
+ extractSurface1Display.EmissiveFactor = [1.0, 1.0, 1.0]
+ extractSurface1Display.FlipTextures = 0
+ extractSurface1Display.BackfaceRepresentation = 'Follow Frontface'
+ extractSurface1Display.BackfaceAmbientColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.BackfaceOpacity = 1.0
+ extractSurface1Display.Position = [0.0, 0.0, 0.0]
+ extractSurface1Display.Scale = [1.0, 1.0, 1.0]
+ extractSurface1Display.Orientation = [0.0, 0.0, 0.0]
+ extractSurface1Display.Origin = [0.0, 0.0, 0.0]
+ extractSurface1Display.CoordinateShiftScaleMethod = 'Always Auto Shift Scale'
+ extractSurface1Display.Pickable = 1
+ extractSurface1Display.Triangulate = 0
+ extractSurface1Display.UseShaderReplacements = 0
+ extractSurface1Display.ShaderReplacements = ''
+ extractSurface1Display.NonlinearSubdivisionLevel = 1
+ extractSurface1Display.UseDataPartitions = 0
+ extractSurface1Display.OSPRayUseScaleArray = 'All Approximate'
+ extractSurface1Display.OSPRayScaleArray = 'curvature'
+ extractSurface1Display.OSPRayScaleFunction = 'PiecewiseFunction'
+ extractSurface1Display.OSPRayMaterial = 'None'
+ extractSurface1Display.BlockSelectors = ['/']
+ extractSurface1Display.BlockColors = []
+ extractSurface1Display.BlockOpacities = []
+ extractSurface1Display.Orient = 0
+ extractSurface1Display.OrientationMode = 'Direction'
+ extractSurface1Display.SelectOrientationVectors = 'None'
+ extractSurface1Display.Scaling = 0
+ extractSurface1Display.ScaleMode = 'No Data Scaling Off'
+ extractSurface1Display.ScaleFactor = 0.098
+ extractSurface1Display.SelectScaleArray = 'curvature'
+ extractSurface1Display.GlyphType = 'Arrow'
+ extractSurface1Display.UseGlyphTable = 0
+ extractSurface1Display.GlyphTableIndexArray = 'curvature'
+ extractSurface1Display.UseCompositeGlyphTable = 0
+ extractSurface1Display.UseGlyphCullingAndLOD = 0
+ extractSurface1Display.LODValues = []
+ extractSurface1Display.ColorByLODIndex = 0
+ extractSurface1Display.GaussianRadius = 0.0049
+ extractSurface1Display.ShaderPreset = 'Sphere'
+ extractSurface1Display.CustomTriangleScale = 3
+ extractSurface1Display.CustomShader = """ // This custom shader code define a gaussian blur
+ // Please take a look into vtkSMPointGaussianRepresentation.cxx
+ // for other custom shader examples
+ //VTK::Color::Impl
+ float dist2 = dot(offsetVCVSOutput.xy,offsetVCVSOutput.xy);
+ float gaussian = exp(-0.5*dist2);
+ opacity = opacity*gaussian;
+ """
+ extractSurface1Display.Emissive = 0
+ extractSurface1Display.ScaleByArray = 0
+ extractSurface1Display.SetScaleArray = ['POINTS', 'curvature']
+ extractSurface1Display.ScaleArrayComponent = ''
+ extractSurface1Display.UseScaleFunction = 1
+ extractSurface1Display.ScaleTransferFunction = 'PiecewiseFunction'
+ extractSurface1Display.OpacityByArray = 0
+ extractSurface1Display.OpacityArray = ['POINTS', 'curvature']
+ extractSurface1Display.OpacityArrayComponent = ''
+ extractSurface1Display.OpacityTransferFunction = 'PiecewiseFunction'
+ extractSurface1Display.DataAxesGrid = 'GridAxesRepresentation'
+ extractSurface1Display.SelectionCellLabelBold = 0
+ extractSurface1Display.SelectionCellLabelColor = [0.0, 1.0, 0.0]
+ extractSurface1Display.SelectionCellLabelFontFamily = 'Arial'
+ extractSurface1Display.SelectionCellLabelFontFile = ''
+ extractSurface1Display.SelectionCellLabelFontSize = 18
+ extractSurface1Display.SelectionCellLabelItalic = 0
+ extractSurface1Display.SelectionCellLabelJustification = 'Left'
+ extractSurface1Display.SelectionCellLabelOpacity = 1.0
+ extractSurface1Display.SelectionCellLabelShadow = 0
+ extractSurface1Display.SelectionPointLabelBold = 0
+ extractSurface1Display.SelectionPointLabelColor = [1.0, 1.0, 0.0]
+ extractSurface1Display.SelectionPointLabelFontFamily = 'Arial'
+ extractSurface1Display.SelectionPointLabelFontFile = ''
+ extractSurface1Display.SelectionPointLabelFontSize = 18
+ extractSurface1Display.SelectionPointLabelItalic = 0
+ extractSurface1Display.SelectionPointLabelJustification = 'Left'
+ extractSurface1Display.SelectionPointLabelOpacity = 1.0
+ extractSurface1Display.SelectionPointLabelShadow = 0
+ extractSurface1Display.PolarAxes = 'PolarAxesRepresentation'
+
+ # init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
+ extractSurface1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
+ extractSurface1Display.OSPRayScaleFunction.UseLogScale = 0
+
+ # init the 'Arrow' selected for 'GlyphType'
+ extractSurface1Display.GlyphType.TipResolution = 6
+ extractSurface1Display.GlyphType.TipRadius = 0.1
+ extractSurface1Display.GlyphType.TipLength = 0.35
+ extractSurface1Display.GlyphType.ShaftResolution = 6
+ extractSurface1Display.GlyphType.ShaftRadius = 0.03
+ extractSurface1Display.GlyphType.Invert = 0
+
+ # init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
+ extractSurface1Display.ScaleTransferFunction.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 2.5142493840581125e-39, 0.625, 0.5, 0.0, 4.252039284300157e-39, 0.6691176295280457, 0.5, 0.0, 7.838150278676329e-39, 0.8676470518112183, 0.5, 0.0, 8.651975477491057e-39, 0.6911764740943909, 0.5, 0.0, 1.1757813367477812e-38, 0.8014705777168274, 0.5, 0.0]
+ extractSurface1Display.ScaleTransferFunction.UseLogScale = 0
+
+ # init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
+ extractSurface1Display.OpacityTransferFunction.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 2.5142493840581125e-39, 0.625, 0.5, 0.0, 4.252039284300157e-39, 0.6691176295280457, 0.5, 0.0, 7.838150278676329e-39, 0.8676470518112183, 0.5, 0.0, 8.651975477491057e-39, 0.6911764740943909, 0.5, 0.0, 1.1757813367477812e-38, 0.8014705777168274, 0.5, 0.0]
+ extractSurface1Display.OpacityTransferFunction.UseLogScale = 0
+
+ # init the 'GridAxesRepresentation' selected for 'DataAxesGrid'
+ extractSurface1Display.DataAxesGrid.XTitle = 'X Axis'
+ extractSurface1Display.DataAxesGrid.YTitle = 'Y Axis'
+ extractSurface1Display.DataAxesGrid.ZTitle = 'Z Axis'
+ extractSurface1Display.DataAxesGrid.XTitleFontFamily = 'Arial'
+ extractSurface1Display.DataAxesGrid.XTitleFontFile = ''
+ extractSurface1Display.DataAxesGrid.XTitleBold = 0
+ extractSurface1Display.DataAxesGrid.XTitleItalic = 0
+ extractSurface1Display.DataAxesGrid.XTitleFontSize = 12
+ extractSurface1Display.DataAxesGrid.XTitleShadow = 0
+ extractSurface1Display.DataAxesGrid.XTitleOpacity = 1.0
+ extractSurface1Display.DataAxesGrid.YTitleFontFamily = 'Arial'
+ extractSurface1Display.DataAxesGrid.YTitleFontFile = ''
+ extractSurface1Display.DataAxesGrid.YTitleBold = 0
+ extractSurface1Display.DataAxesGrid.YTitleItalic = 0
+ extractSurface1Display.DataAxesGrid.YTitleFontSize = 12
+ extractSurface1Display.DataAxesGrid.YTitleShadow = 0
+ extractSurface1Display.DataAxesGrid.YTitleOpacity = 1.0
+ extractSurface1Display.DataAxesGrid.ZTitleFontFamily = 'Arial'
+ extractSurface1Display.DataAxesGrid.ZTitleFontFile = ''
+ extractSurface1Display.DataAxesGrid.ZTitleBold = 0
+ extractSurface1Display.DataAxesGrid.ZTitleItalic = 0
+ extractSurface1Display.DataAxesGrid.ZTitleFontSize = 12
+ extractSurface1Display.DataAxesGrid.ZTitleShadow = 0
+ extractSurface1Display.DataAxesGrid.ZTitleOpacity = 1.0
+ extractSurface1Display.DataAxesGrid.FacesToRender = 63
+ extractSurface1Display.DataAxesGrid.CullBackface = 0
+ extractSurface1Display.DataAxesGrid.CullFrontface = 1
+ extractSurface1Display.DataAxesGrid.ShowGrid = 0
+ extractSurface1Display.DataAxesGrid.ShowEdges = 1
+ extractSurface1Display.DataAxesGrid.ShowTicks = 1
+ extractSurface1Display.DataAxesGrid.LabelUniqueEdgesOnly = 1
+ extractSurface1Display.DataAxesGrid.AxesToLabel = 63
+ extractSurface1Display.DataAxesGrid.XLabelFontFamily = 'Arial'
+ extractSurface1Display.DataAxesGrid.XLabelFontFile = ''
+ extractSurface1Display.DataAxesGrid.XLabelBold = 0
+ extractSurface1Display.DataAxesGrid.XLabelItalic = 0
+ extractSurface1Display.DataAxesGrid.XLabelFontSize = 12
+ extractSurface1Display.DataAxesGrid.XLabelShadow = 0
+ extractSurface1Display.DataAxesGrid.XLabelOpacity = 1.0
+ extractSurface1Display.DataAxesGrid.YLabelFontFamily = 'Arial'
+ extractSurface1Display.DataAxesGrid.YLabelFontFile = ''
+ extractSurface1Display.DataAxesGrid.YLabelBold = 0
+ extractSurface1Display.DataAxesGrid.YLabelItalic = 0
+ extractSurface1Display.DataAxesGrid.YLabelFontSize = 12
+ extractSurface1Display.DataAxesGrid.YLabelShadow = 0
+ extractSurface1Display.DataAxesGrid.YLabelOpacity = 1.0
+ extractSurface1Display.DataAxesGrid.ZLabelFontFamily = 'Arial'
+ extractSurface1Display.DataAxesGrid.ZLabelFontFile = ''
+ extractSurface1Display.DataAxesGrid.ZLabelBold = 0
+ extractSurface1Display.DataAxesGrid.ZLabelItalic = 0
+ extractSurface1Display.DataAxesGrid.ZLabelFontSize = 12
+ extractSurface1Display.DataAxesGrid.ZLabelShadow = 0
+ extractSurface1Display.DataAxesGrid.ZLabelOpacity = 1.0
+ extractSurface1Display.DataAxesGrid.XAxisNotation = 'Mixed'
+ extractSurface1Display.DataAxesGrid.XAxisPrecision = 2
+ extractSurface1Display.DataAxesGrid.XAxisUseCustomLabels = 0
+ extractSurface1Display.DataAxesGrid.XAxisLabels = []
+ extractSurface1Display.DataAxesGrid.YAxisNotation = 'Mixed'
+ extractSurface1Display.DataAxesGrid.YAxisPrecision = 2
+ extractSurface1Display.DataAxesGrid.YAxisUseCustomLabels = 0
+ extractSurface1Display.DataAxesGrid.YAxisLabels = []
+ extractSurface1Display.DataAxesGrid.ZAxisNotation = 'Mixed'
+ extractSurface1Display.DataAxesGrid.ZAxisPrecision = 2
+ extractSurface1Display.DataAxesGrid.ZAxisUseCustomLabels = 0
+ extractSurface1Display.DataAxesGrid.ZAxisLabels = []
+ extractSurface1Display.DataAxesGrid.UseCustomBounds = 0
+ extractSurface1Display.DataAxesGrid.CustomBounds = [0.0, 1.0, 0.0, 1.0, 0.0, 1.0]
+
+ # init the 'PolarAxesRepresentation' selected for 'PolarAxes'
+ extractSurface1Display.PolarAxes.Visibility = 0
+ extractSurface1Display.PolarAxes.Translation = [0.0, 0.0, 0.0]
+ extractSurface1Display.PolarAxes.Scale = [1.0, 1.0, 1.0]
+ extractSurface1Display.PolarAxes.Orientation = [0.0, 0.0, 0.0]
+ extractSurface1Display.PolarAxes.EnableCustomBounds = [0, 0, 0]
+ extractSurface1Display.PolarAxes.CustomBounds = [0.0, 1.0, 0.0, 1.0, 0.0, 1.0]
+ extractSurface1Display.PolarAxes.EnableCustomRange = 0
+ extractSurface1Display.PolarAxes.CustomRange = [0.0, 1.0]
+ extractSurface1Display.PolarAxes.PolarAxisVisibility = 1
+ extractSurface1Display.PolarAxes.RadialAxesVisibility = 1
+ extractSurface1Display.PolarAxes.DrawRadialGridlines = 1
+ extractSurface1Display.PolarAxes.PolarArcsVisibility = 1
+ extractSurface1Display.PolarAxes.DrawPolarArcsGridlines = 1
+ extractSurface1Display.PolarAxes.NumberOfRadialAxes = 0
+ extractSurface1Display.PolarAxes.AutoSubdividePolarAxis = 1
+ extractSurface1Display.PolarAxes.NumberOfPolarAxis = 0
+ extractSurface1Display.PolarAxes.MinimumRadius = 0.0
+ extractSurface1Display.PolarAxes.MinimumAngle = 0.0
+ extractSurface1Display.PolarAxes.MaximumAngle = 90.0
+ extractSurface1Display.PolarAxes.RadialAxesOriginToPolarAxis = 1
+ extractSurface1Display.PolarAxes.Ratio = 1.0
+ extractSurface1Display.PolarAxes.PolarAxisColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.PolarAxes.PolarArcsColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.PolarAxes.LastRadialAxisColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.PolarAxes.SecondaryPolarArcsColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesColor = [1.0, 1.0, 1.0]
+ extractSurface1Display.PolarAxes.PolarAxisTitleVisibility = 1
+ extractSurface1Display.PolarAxes.PolarAxisTitle = 'Radial Distance'
+ extractSurface1Display.PolarAxes.PolarAxisTitleLocation = 'Bottom'
+ extractSurface1Display.PolarAxes.PolarLabelVisibility = 1
+ extractSurface1Display.PolarAxes.PolarLabelFormat = '%-#6.3g'
+ extractSurface1Display.PolarAxes.PolarLabelExponentLocation = 'Labels'
+ extractSurface1Display.PolarAxes.RadialLabelVisibility = 1
+ extractSurface1Display.PolarAxes.RadialLabelFormat = '%-#3.1f'
+ extractSurface1Display.PolarAxes.RadialLabelLocation = 'Bottom'
+ extractSurface1Display.PolarAxes.RadialUnitsVisibility = 1
+ extractSurface1Display.PolarAxes.ScreenSize = 10.0
+ extractSurface1Display.PolarAxes.PolarAxisTitleOpacity = 1.0
+ extractSurface1Display.PolarAxes.PolarAxisTitleFontFamily = 'Arial'
+ extractSurface1Display.PolarAxes.PolarAxisTitleFontFile = ''
+ extractSurface1Display.PolarAxes.PolarAxisTitleBold = 0
+ extractSurface1Display.PolarAxes.PolarAxisTitleItalic = 0
+ extractSurface1Display.PolarAxes.PolarAxisTitleShadow = 0
+ extractSurface1Display.PolarAxes.PolarAxisTitleFontSize = 12
+ extractSurface1Display.PolarAxes.PolarAxisLabelOpacity = 1.0
+ extractSurface1Display.PolarAxes.PolarAxisLabelFontFamily = 'Arial'
+ extractSurface1Display.PolarAxes.PolarAxisLabelFontFile = ''
+ extractSurface1Display.PolarAxes.PolarAxisLabelBold = 0
+ extractSurface1Display.PolarAxes.PolarAxisLabelItalic = 0
+ extractSurface1Display.PolarAxes.PolarAxisLabelShadow = 0
+ extractSurface1Display.PolarAxes.PolarAxisLabelFontSize = 12
+ extractSurface1Display.PolarAxes.LastRadialAxisTextOpacity = 1.0
+ extractSurface1Display.PolarAxes.LastRadialAxisTextFontFamily = 'Arial'
+ extractSurface1Display.PolarAxes.LastRadialAxisTextFontFile = ''
+ extractSurface1Display.PolarAxes.LastRadialAxisTextBold = 0
+ extractSurface1Display.PolarAxes.LastRadialAxisTextItalic = 0
+ extractSurface1Display.PolarAxes.LastRadialAxisTextShadow = 0
+ extractSurface1Display.PolarAxes.LastRadialAxisTextFontSize = 12
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextOpacity = 1.0
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextFontFamily = 'Arial'
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextFontFile = ''
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextBold = 0
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextItalic = 0
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextShadow = 0
+ extractSurface1Display.PolarAxes.SecondaryRadialAxesTextFontSize = 12
+ extractSurface1Display.PolarAxes.EnableDistanceLOD = 1
+ extractSurface1Display.PolarAxes.DistanceLODThreshold = 0.7
+ extractSurface1Display.PolarAxes.EnableViewAngleLOD = 1
+ extractSurface1Display.PolarAxes.ViewAngleLODThreshold = 0.7
+ extractSurface1Display.PolarAxes.SmallestVisiblePolarAngle = 0.5
+ extractSurface1Display.PolarAxes.PolarTicksVisibility = 1
+ extractSurface1Display.PolarAxes.ArcTicksOriginToPolarAxis = 1
+ extractSurface1Display.PolarAxes.TickLocation = 'Both'
+ extractSurface1Display.PolarAxes.AxisTickVisibility = 1
+ extractSurface1Display.PolarAxes.AxisMinorTickVisibility = 0
+ extractSurface1Display.PolarAxes.ArcTickVisibility = 1
+ extractSurface1Display.PolarAxes.ArcMinorTickVisibility = 0
+ extractSurface1Display.PolarAxes.DeltaAngleMajor = 10.0
+ extractSurface1Display.PolarAxes.DeltaAngleMinor = 5.0
+ extractSurface1Display.PolarAxes.PolarAxisMajorTickSize = 0.0
+ extractSurface1Display.PolarAxes.PolarAxisTickRatioSize = 0.3
+ extractSurface1Display.PolarAxes.PolarAxisMajorTickThickness = 1.0
+ extractSurface1Display.PolarAxes.PolarAxisTickRatioThickness = 0.5
+ extractSurface1Display.PolarAxes.LastRadialAxisMajorTickSize = 0.0
+ extractSurface1Display.PolarAxes.LastRadialAxisTickRatioSize = 0.3
+ extractSurface1Display.PolarAxes.LastRadialAxisMajorTickThickness = 1.0
+ extractSurface1Display.PolarAxes.LastRadialAxisTickRatioThickness = 0.5
+ extractSurface1Display.PolarAxes.ArcMajorTickSize = 0.0
+ extractSurface1Display.PolarAxes.ArcTickRatioSize = 0.3
+ extractSurface1Display.PolarAxes.ArcMajorTickThickness = 1.0
+ extractSurface1Display.PolarAxes.ArcTickRatioThickness = 0.5
+ extractSurface1Display.PolarAxes.Use2DMode = 0
+ extractSurface1Display.PolarAxes.UseLogAxis = 0
+
+ # hide data in view
+ Hide(contour1, renderView1)
+
+ # show color bar/color legend
+ extractSurface1Display.SetScalarBarVisibility(renderView1, True)
+
+
+
+
+##################################################################################
+
+
+# get layout
+layout1 = GetLayout()
+
+
+#--------------------------------
+# saving layout sizes for layouts
+
+# layout/tab size in pixels
+layout1.SetSize(890, 532)
+
+#-----------------------------------
+# saving camera placements for views
+
+# current camera placement for renderView1
+# renderView1.CameraPosition = [2.011789351967371, 3.0415959513116824, 1.6179658760786457]
+# renderView1.CameraFocalPoint = [0.25, 0.5255000000000001, 0.5]
+# renderView1.CameraViewUp = [-0.19617469496901113, -0.28016649959323553, 0.9396926207859085]
+# renderView1.CameraViewAngle = 30.701754385964914
+# renderView1.CameraParallelScale = 0.8460053191322144
+
+
+# reset view to fit data
+renderView1.ResetCamera(True)
+
+#================================================================
+# addendum: following script captures some of the application
+# state to faithfully reproduce the visualization during playback
+#================================================================
+
+#-----------------------------------
+# saving camera placements for views
+
+# current camera placement for renderView1
+renderView1.CameraPosition = [2.011789351967371, 3.0415959513116824, 1.6279658760786457]
+renderView1.CameraFocalPoint = [0.25, 0.5255000000000001, 0.51]
+renderView1.CameraViewUp = [-0.19617469496901116, -0.28016649959323564, 0.9396926207859084]
+renderView1.CameraViewAngle = 30.68840579710145
+renderView1.CameraParallelScale = 0.8460053191322144
+
+
+
+### ---------------------------------------
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+# ----------------- EXPORT -----------------
+SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_GammaInf_Curvature.png', renderView1, ImageResolution=[2126, 1314],OverrideColorPalette='WhiteBackground')
diff --git a/Python-Scripts/PhaseDiagram_PlotScript_GammaInf_shifted.py b/Python-Scripts/PhaseDiagram_PlotScript_GammaInf_shifted.py
new file mode 100644
index 00000000..878a8a01
--- /dev/null
+++ b/Python-Scripts/PhaseDiagram_PlotScript_GammaInf_shifted.py
@@ -0,0 +1,694 @@
+# To ensure correct image size when batch processing, please search
+# for and uncomment the line `# renderView*.ViewSize = [*,*]`
+
+#### import the simple module from the paraview
+from paraview.simple import *
+#### disable automatic camera reset on 'Show'
+paraview.simple._DisableFirstRenderCameraReset()
+
+#--- Run in Terminal with: 'pvbatch PhaseDiagram_PlotScript.py'
+
+
+# ----- CREATE A Phase Diagram for the following cases:
+# 1. (Hyperbolic Case) Gamma = '0'
+# 2. (Elliptic Case) Gamma = 'infinity'
+#
+# case = 1
+# case = 2
+
+
+#### RESET SESSION :
+ResetSession()
+
+
+
+## CHANGE FONT :
+# find settings proxy
+generalSettings = GetSettingsProxy('GeneralSettings')
+
+# Properties modified on generalSettings
+generalSettings.OverrideFont = 0
+
+
+# drawLine = False
+# # hide_redcolor = True
+# hide_redcolor = False
+# # hide_legend = True
+# hide_legend = False
+
+
+
+
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity.vts'])
+# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_150SP.vts'])
+phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_300SP.vts'])
+
+
+phaseDiagram3DGammainfinityvts.PointArrayStatus = ['Type', 'angles', 'curvature']
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+# uncomment following to set a specific view size
+# renderView1.ViewSize = [999, 547]
+
+## ---- Set a specific view size:
+renderView1.ViewSize = [1257, 934]
+
+# show data in view
+phaseDiagram3DGammainfinityvtsDisplay = Show(phaseDiagram3DGammainfinityvts, renderView1)
+
+### -------------------------------------
+
+
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# create a new 'Transform'
+transform1 = Transform(registrationName='Transform1', Input=xMLStructuredGridReader1)
+transform1.Transform = 'Transform'
+
+# find source
+xMLStructuredGridReader1 = FindSource('XMLStructuredGridReader1')
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# show data in view
+transform1Display = Show(transform1, renderView1, 'StructuredGridRepresentation')
+
+# trace defaults for the display properties.
+transform1Display.Representation = 'Outline'
+transform1Display.ColorArrayName = ['POINTS', '']
+transform1Display.SelectTCoordArray = 'None'
+transform1Display.SelectNormalArray = 'None'
+transform1Display.SelectTangentArray = 'None'
+transform1Display.OSPRayScaleArray = 'Type'
+transform1Display.OSPRayScaleFunction = 'PiecewiseFunction'
+transform1Display.SelectOrientationVectors = 'None'
+transform1Display.ScaleFactor = 2.0
+transform1Display.SelectScaleArray = 'Type'
+transform1Display.GlyphType = 'Arrow'
+transform1Display.GlyphTableIndexArray = 'Type'
+transform1Display.GaussianRadius = 0.1
+transform1Display.SetScaleArray = ['POINTS', 'Type']
+transform1Display.ScaleTransferFunction = 'PiecewiseFunction'
+transform1Display.OpacityArray = ['POINTS', 'Type']
+transform1Display.OpacityTransferFunction = 'PiecewiseFunction'
+transform1Display.DataAxesGrid = 'GridAxesRepresentation'
+transform1Display.PolarAxes = 'PolarAxesRepresentation'
+transform1Display.ScalarOpacityUnitDistance = 0.1852592630607038
+
+# init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
+transform1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
+transform1Display.ScaleTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
+transform1Display.OpacityTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
+
+# hide data in view
+Hide(xMLStructuredGridReader1, renderView1)
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+
+# Properties modified on transform1.Transform
+transform1.Transform.Scale = [0.05, 0.05, 1.0]
+
+# Properties modified on transform1.Transform
+transform1.Transform.Translate = [0.0, 0.0, 0.01]
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+# reset view to fit data
+renderView1.ResetCamera(True)
+
+# toggle 3D widget visibility (only when running from the GUI)
+Hide3DWidgets(proxy=transform1.Transform)
+
+# change representation type
+transform1Display.SetRepresentationType('Point Gaussian')
+
+# Properties modified on transform1Display
+transform1Display.GaussianRadius = 0.0075
+
+
+# transform1Display.Opacity = 0.03 #overall Opacity
+transform1Display.Opacity = 0.02 #overall Opacity
+
+# Properties modified on transform1Display
+transform1Display.ShaderPreset = 'Plain circle'
+
+# set scalar coloring
+ColorBy(transform1Display, ('POINTS', 'angles'))
+
+# rescale color and/or opacity maps used to include current data range
+transform1Display.RescaleTransferFunctionToDataRange(True, False)
+
+# show color bar/color legend
+transform1Display.SetScalarBarVisibility(renderView1, True)
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.RGBPoints = [0.0, 0.001462, 0.000466, 0.013866, 0.006160663193689554, 0.002258, 0.001295, 0.018331, 0.012319755591052443, 0.003279, 0.002305, 0.023708, 0.018480418784742, 0.004512, 0.00349, 0.029965, 0.024639511182104886, 0.00595, 0.004843, 0.03713, 0.03080017437579444, 0.007588, 0.006356, 0.044973, 0.03695926677315698, 0.009426, 0.008022, 0.052844, 0.043119929966846535, 0.011465, 0.009828, 0.06075, 0.04928059316053644, 0.013708, 0.011771, 0.068667, 0.05543968555789898, 0.016156, 0.01384, 0.076603, 0.061600348751588534, 0.018815, 0.016026, 0.084584, 0.06775944114895142, 0.021692, 0.01832, 0.09261, 0.07392010434264097, 0.024792, 0.020715, 0.100676, 0.08007919674000387, 0.028123, 0.023201, 0.108787, 0.08623985993369342, 0.031696, 0.025765, 0.116965, 0.09240052312738298, 0.03552, 0.028397, 0.125209, 0.09855961552474586, 0.039608, 0.03109, 0.133515, 0.10472027871843542, 0.04383, 0.03383, 0.141886, 0.1108793711157983, 0.048062, 0.036607, 0.150327, 0.11704003430948787, 0.05232, 0.039407, 0.158841, 0.1231991267068504, 0.056615, 0.04216, 0.167446, 0.12935978990053995, 0.060949, 0.044794, 0.176129, 0.13552045309422986, 0.06533, 0.047318, 0.184892, 0.1416795454915924, 0.069764, 0.049726, 0.193735, 0.14784020868528194, 0.074257, 0.052017, 0.20266, 0.15399930108264484, 0.078815, 0.054184, 0.211667, 0.1601599642763344, 0.083446, 0.056225, 0.220755, 0.16631905667369729, 0.088155, 0.058133, 0.229922, 0.17247971986738683, 0.092949, 0.059904, 0.239164, 0.17863881226474973, 0.097833, 0.061531, 0.248477, 0.18479947545843928, 0.102815, 0.06301, 0.257854, 0.19096013865212885, 0.107899, 0.064335, 0.267289, 0.19711923104949172, 0.113094, 0.065492, 0.276784, 0.20327989424318127, 0.118405, 0.066479, 0.286321, 0.20943898664054383, 0.123833, 0.067295, 0.295879, 0.21559964983423338, 0.12938, 0.067935, 0.305443, 0.22175874223159628, 0.135053, 0.068391, 0.315, 0.22791940542528583, 0.140858, 0.068654, 0.324538, 0.23408006861897537, 0.146785, 0.068738, 0.334011, 0.24023916101633827, 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+anglesLUT.ColorSpace = 'RGB'
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+
+
+#### COLOR
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.043137254901960784, 0.5529411764705883, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.0, 1.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesLUT.ApplyPreset('Preset 6', True)
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 0.8602941036224365, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
+anglesPWF.ApplyPreset('Preset 6', True)
+
+# Properties modified on anglesLUT
+anglesLUT.EnableOpacityMapping = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.0625, 0.5, 0.0]
+
+
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8313725490196079, 0.0, 0.0392156862745098]
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.996078431372549, 0.9921568627450981, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+# Properties modified on anglesLUT
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+
+
+
+
+###
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get opacity transfer function/opacity map for 'angles'
+anglesPWF = GetOpacityTransferFunction('angles')
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
+anglesPWF.ScalarRangeInitialized = 1
+
+# Properties modified on anglesPWF
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+
+
+## OPACITY :
+anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.10, 0.5, 0.0]
+
+# ----------------- LEGEND -----------------
+# get color legend/bar for anglesLUT in view renderView1
+# anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.WindowLocation = 'LowerRightCorner'
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.Title = 'angle $\\alpha$' #'angle $\\angle$'
+# anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+# anglesLUTColorBar.TitleJustification = 'Left'
+# # anglesLUTColorBar.TitleJustification = 'Centered'
+#
+# # show color bar/color legend
+# # transform1Display.SetScalarBarVisibility(renderView1, True)
+#
+# # # # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.AddRangeLabels = 0
+# anglesLUTColorBar.DrawTickMarks = 0
+# anglesLUTColorBar.DrawTickLabels = 0
+# anglesLUTColorBar.TitleFontSize = 24
+# anglesLUTColorBar.LabelFontSize = 20
+# # anglesLUTColorBar.AddRangeAnnotations = 1
+#
+# ## -- Add Annotations :
+# anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
+# anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+# anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0, 1.0]
+#
+
+
+
+###########################################
+# Properties modified on anglesLUT
+# anglesLUT.EnableOpacityMapping = 0
+# anglesLUT.EnableOpacityMapping = 1
+#
+## ---- AXES GRID PROPERTIES -----
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# renderView1.AxesGrid.XTitleFontSize = 45 #24
+# renderView1.AxesGrid.YTitleFontSize = 45
+# renderView1.AxesGrid.ZTitleFontSize = 45
+# renderView1.AxesGrid.XLabelFontSize = 30 #default:12
+# renderView1.AxesGrid.YLabelFontSize = 30
+# renderView1.AxesGrid.ZLabelFontSize = 30
+renderView1.AxesGrid.XTitleFontSize = 60 #24
+renderView1.AxesGrid.YTitleFontSize = 60
+renderView1.AxesGrid.ZTitleFontSize = 60
+
+renderView1.AxesGrid.XLabelFontSize = 45 #default:12
+renderView1.AxesGrid.YLabelFontSize = 45
+renderView1.AxesGrid.ZLabelFontSize = 45
+# ---- Switch of/on OrientationAXES:
+# renderView1.OrientationAxesVisibility = 1
+renderView1.OrientationAxesVisibility = 0
+
+# ---- Switch Grid On/Off:
+renderView1.AxesGrid.ShowGrid = 1
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.Visibility = 1
+
+
+## SCALE AXIS
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.DataScale = [0.05, 0.05, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisUseCustomLabels = 1
+renderView1.AxesGrid.XAxisLabels = [-5.0, 0.0, 5.0, 10.0, 15.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisUseCustomLabels = 1
+renderView1.AxesGrid.YAxisLabels = [1.0, 5.0, 10.0, 15.0, 20]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisUseCustomLabels = 1
+# renderView1.AxesGrid.ZAxisLabels = [0.1, 0.2, 0.3, 0.4, 0.5,0.6,0.7 ,0.8,0.9, 1.0]
+renderView1.AxesGrid.ZAxisLabels = [0.25, 0.5, 0.75, 1.0]
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisNotation = 'Fixed'
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.XAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.YAxisPrecision = 1
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.ZAxisPrecision = 1
+
+
+
+# Properties modified on renderView1.AxesGrid
+renderView1.AxesGrid.AxesToLabel = 31
+
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 1
+#
+# # Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.UseCustomBounds = 0
+
+
+
+
+############### DATA AXIS GRID ##################
+# Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.GridAxesVisibility = 1
+#
+# # get opacity transfer function/opacity map for 'angles'
+# anglesPWF = GetOpacityTransferFunction('angles')
+# anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.065, 0.5, 0.0]
+# anglesPWF.AllowDuplicateScalars = 1
+# anglesPWF.UseLogScale = 0
+# anglesPWF.ScalarRangeInitialized = 1
+#
+# # Properties modified on transform1Display.DataAxesGrid
+# transform1Display.DataAxesGrid.XTitle = '$\\theta_\\rho$'
+# transform1Display.DataAxesGrid.YTitle = '$\\theta_\\mu$'
+# transform1Display.DataAxesGrid.ZTitle = '$\\theta$'
+# # renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
+# # renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
+# # renderView1.AxesGrid.ZTitle = ' $\\theta$ '
+# transform1Display.DataAxesGrid.XTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.YTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.ZTitleFontFamily = 'Times'
+# transform1Display.DataAxesGrid.XTitleFontSize = 45
+# transform1Display.DataAxesGrid.YTitleFontSize = 45
+# transform1Display.DataAxesGrid.ZTitleFontSize = 45
+# transform1Display.DataAxesGrid.FacesToRender = 7
+# transform1Display.DataAxesGrid.ShowGrid = 1
+#
+#
+
+
+# CHANGE GRID COLOR :
+# Properties modified on renderView1.AxesGrid
+# renderView1.AxesGrid.FacesToRender = 60
+
+
+#### ------ LEGEND
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+# anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Vertical'
+# anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+# anglesLUTColorBar.Position = [0.89, 0.02]
+# anglesLUTColorBar.Title = 'angles'
+# anglesLUTColorBar.ComponentTitle = ''
+# anglesLUTColorBar.TitleJustification = 'Centered'
+# anglesLUTColorBar.HorizontalTitle = 0
+# anglesLUTColorBar.TitleOpacity = 1.0
+# anglesLUTColorBar.TitleFontFamily = 'Arial'
+# anglesLUTColorBar.TitleFontFile = ''
+# anglesLUTColorBar.TitleBold = 0
+# anglesLUTColorBar.TitleItalic = 0
+# anglesLUTColorBar.TitleShadow = 0
+# anglesLUTColorBar.TitleFontSize = 16
+# anglesLUTColorBar.LabelOpacity = 1.0
+# anglesLUTColorBar.LabelFontFamily = 'Arial'
+# anglesLUTColorBar.LabelFontFile = ''
+# anglesLUTColorBar.LabelBold = 0
+# anglesLUTColorBar.LabelItalic = 0
+# anglesLUTColorBar.LabelShadow = 0
+# anglesLUTColorBar.LabelFontSize = 16
+# anglesLUTColorBar.AutomaticLabelFormat = 1
+# anglesLUTColorBar.LabelFormat = '%-#6.3g'
+# anglesLUTColorBar.DrawTickMarks = 1
+# anglesLUTColorBar.DrawTickLabels = 1
+# anglesLUTColorBar.UseCustomLabels = 0
+# anglesLUTColorBar.CustomLabels = []
+# anglesLUTColorBar.AddRangeLabels = 1
+# anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+# anglesLUTColorBar.DrawAnnotations = 1
+# anglesLUTColorBar.AddRangeAnnotations = 0
+# anglesLUTColorBar.AutomaticAnnotations = 0
+# anglesLUTColorBar.DrawNanAnnotation = 0
+# anglesLUTColorBar.NanAnnotation = 'NaN'
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+# anglesLUTColorBar.ReverseLegend = 0
+# anglesLUTColorBar.ScalarBarThickness = 16
+# anglesLUTColorBar.ScalarBarLength = 0.33
+#
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.HorizontalTitle = 1
+# anglesLUTColorBar.TitleFontSize = 20
+# anglesLUTColorBar.ScalarBarThickness = 20
+# anglesLUTColorBar.ScalarBarLength = 0.7
+#
+
+# get color transfer function/color map for 'angles'
+anglesLUT = GetColorTransferFunction('angles')
+anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
+anglesLUT.InterpretValuesAsCategories = 0
+anglesLUT.AnnotationsInitialized = 0
+anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
+anglesLUT.RescaleOnVisibilityChange = 0
+anglesLUT.EnableOpacityMapping = 1
+anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
+anglesLUT.UseLogScale = 0
+anglesLUT.UseOpacityControlPointsFreehandDrawing = 0
+anglesLUT.ShowDataHistogram = 0
+anglesLUT.AutomaticDataHistogramComputation = 0
+anglesLUT.DataHistogramNumberOfBins = 10
+anglesLUT.ColorSpace = 'Lab'
+anglesLUT.UseBelowRangeColor = 0
+anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
+anglesLUT.UseAboveRangeColor = 0
+anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
+anglesLUT.NanColor = [0.250004, 0.0, 0.0]
+anglesLUT.NanOpacity = 1.0
+anglesLUT.Discretize = 1
+anglesLUT.NumberOfTableValues = 256
+anglesLUT.ScalarRangeInitialized = 1.0
+anglesLUT.HSVWrap = 0
+anglesLUT.VectorComponent = 0
+anglesLUT.VectorMode = 'Magnitude'
+anglesLUT.AllowDuplicateScalars = 1
+anglesLUT.Annotations = ['1.57', '$\\pi / 2$ ', '0.78', '$\\pi/4$ ', '0', '0 ']
+anglesLUT.ActiveAnnotatedValues = []
+anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
+anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
+
+# get active view
+renderView1 = GetActiveViewOrCreate('RenderView')
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 1
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = 'angles'
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Arial'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 20
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Arial'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 16
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 1
+anglesLUTColorBar.DrawTickLabels = 1
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 1
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.5
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.AddRangeLabels = 0
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.Title = '$\\alpha$ '
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontFamily = 'Times'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontSize = 30
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelFontSize = 25
+
+
+
+#horizontal BAR:
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.AutoOrient = 1
+# anglesLUTColorBar.Orientation = 'Horizontal'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+
+
+
+# get color legend/bar for anglesLUT in view renderView1
+anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
+anglesLUTColorBar.AutoOrient = 0
+anglesLUTColorBar.Orientation = 'Vertical'
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+anglesLUTColorBar.Position = [0.89, 0.02]
+anglesLUTColorBar.Title = '$\\alpha$ '
+anglesLUTColorBar.ComponentTitle = ''
+anglesLUTColorBar.TitleJustification = 'Centered'
+anglesLUTColorBar.HorizontalTitle = 1
+anglesLUTColorBar.TitleOpacity = 1.0
+anglesLUTColorBar.TitleFontFamily = 'Times'
+anglesLUTColorBar.TitleFontFile = ''
+anglesLUTColorBar.TitleBold = 0
+anglesLUTColorBar.TitleItalic = 0
+anglesLUTColorBar.TitleShadow = 0
+anglesLUTColorBar.TitleFontSize = 24
+anglesLUTColorBar.LabelOpacity = 1.0
+anglesLUTColorBar.LabelFontFamily = 'Times'
+anglesLUTColorBar.LabelFontFile = ''
+anglesLUTColorBar.LabelBold = 0
+anglesLUTColorBar.LabelItalic = 0
+anglesLUTColorBar.LabelShadow = 0
+anglesLUTColorBar.LabelFontSize = 19
+anglesLUTColorBar.AutomaticLabelFormat = 1
+anglesLUTColorBar.LabelFormat = '%-#6.3g'
+anglesLUTColorBar.DrawTickMarks = 0
+anglesLUTColorBar.DrawTickLabels = 0
+anglesLUTColorBar.UseCustomLabels = 0
+anglesLUTColorBar.CustomLabels = []
+anglesLUTColorBar.AddRangeLabels = 0
+anglesLUTColorBar.RangeLabelFormat = '%-#6.1e'
+anglesLUTColorBar.DrawAnnotations = 1
+anglesLUTColorBar.AddRangeAnnotations = 0
+anglesLUTColorBar.AutomaticAnnotations = 0
+anglesLUTColorBar.DrawNanAnnotation = 0
+anglesLUTColorBar.NanAnnotation = 'NaN'
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+anglesLUTColorBar.ReverseLegend = 0
+anglesLUTColorBar.ScalarBarThickness = 20
+anglesLUTColorBar.ScalarBarLength = 0.7
+
+# # Properties modified on anglesLUTColorBar
+# anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
+
+# Properties modified on anglesLUTColorBar
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleOpacity = 0.9
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelColor = [0.0, 0.0, 0.0]
+
+
+## TEST:
+# Properties modified on curvatureLUTColorBar
+anglesLUTColorBar.TextPosition = 'Ticks right/top, annotations left/bottom'
+
+# Properties modified on curvatureLUTColorBar
+# anglesLUTColorBar.TitleJustification = 'Centered'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontFamily = 'Times'
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.TitleFontSize = 30
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.LabelFontSize = 25
+
+# Properties modified on anglesLUTColorBar
+anglesLUTColorBar.AutoOrient = 1
+anglesLUTColorBar.WindowLocation = 'Lower Right Corner'
+#================================================================
+# addendum: following script captures some of the application
+# state to faithfully reproduce the visualization during playback
+#================================================================
+
+
+
+
+# get layout
+layout1 = GetLayout()
+
+
+#--------------------------------
+# saving layout sizes for layouts
+
+# layout/tab size in pixels
+layout1.SetSize(890, 532)
+
+#-----------------------------------
+# saving camera placements for views
+
+# current camera placement for renderView1
+# renderView1.CameraPosition = [2.011789351967371, 3.0415959513116824, 1.6179658760786457]
+# renderView1.CameraFocalPoint = [0.25, 0.5255000000000001, 0.5]
+# renderView1.CameraViewUp = [-0.19617469496901113, -0.28016649959323553, 0.9396926207859085]
+# renderView1.CameraViewAngle = 30.701754385964914
+# renderView1.CameraParallelScale = 0.8460053191322144
+#
+
+
+# reset view to fit data
+renderView1.ResetCamera(True)
+
+#================================================================
+# addendum: following script captures some of the application
+# state to faithfully reproduce the visualization during playback
+#================================================================
+
+#-----------------------------------
+# saving camera placements for views
+
+# current camera placement for renderView1
+renderView1.CameraPosition = [2.011789351967371, 3.0415959513116824, 1.6279658760786457]
+renderView1.CameraFocalPoint = [0.25, 0.5255000000000001, 0.51]
+renderView1.CameraViewUp = [-0.19617469496901116, -0.28016649959323564, 0.9396926207859084]
+renderView1.CameraViewAngle = 30.68840579710145
+renderView1.CameraParallelScale = 0.8460053191322144
+
+
+
+
+### ---------------------------------------
+
+# update the view to ensure updated data information
+renderView1.Update()
+
+
+# ----------------- EXPORT -----------------
+SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_GammaInf.png', renderView1, ImageResolution=[2126, 1314],OverrideColorPalette='WhiteBackground')
diff --git a/src/PhaseDiagram_PlotScript_ReverseDirection.py b/Python-Scripts/PhaseDiagram_PlotScript_ReverseDirection.py
similarity index 100%
rename from src/PhaseDiagram_PlotScript_ReverseDirection.py
rename to Python-Scripts/PhaseDiagram_PlotScript_ReverseDirection.py
diff --git a/src/PhaseDiagram_Test.py b/Python-Scripts/PhaseDiagram_Test.py
similarity index 100%
rename from src/PhaseDiagram_Test.py
rename to Python-Scripts/PhaseDiagram_Test.py
diff --git a/src/PhaseDiagram_backup.py b/Python-Scripts/PhaseDiagram_backup.py
similarity index 100%
rename from src/PhaseDiagram_backup.py
rename to Python-Scripts/PhaseDiagram_backup.py
diff --git a/src/PhaseDiagram_intermediateGamma.py b/Python-Scripts/PhaseDiagram_intermediateGamma.py
similarity index 100%
rename from src/PhaseDiagram_intermediateGamma.py
rename to Python-Scripts/PhaseDiagram_intermediateGamma.py
diff --git a/src/Plot-1-ParameterFamily.py b/Python-Scripts/Plot-1-ParameterFamily.py
similarity index 100%
rename from src/Plot-1-ParameterFamily.py
rename to Python-Scripts/Plot-1-ParameterFamily.py
diff --git a/src/Plot-Angle-Alpha_intermediateGamma.py b/Python-Scripts/Plot-Angle-Alpha_intermediateGamma.py
similarity index 100%
rename from src/Plot-Angle-Alpha_intermediateGamma.py
rename to Python-Scripts/Plot-Angle-Alpha_intermediateGamma.py
diff --git a/src/Plot-Angle-Alpha_intermediateGamma_v2.py b/Python-Scripts/Plot-Angle-Alpha_intermediateGamma_v2.py
similarity index 100%
rename from src/Plot-Angle-Alpha_intermediateGamma_v2.py
rename to Python-Scripts/Plot-Angle-Alpha_intermediateGamma_v2.py
diff --git a/src/Plot-Angle-Gamma.py b/Python-Scripts/Plot-Angle-Gamma.py
similarity index 100%
rename from src/Plot-Angle-Gamma.py
rename to Python-Scripts/Plot-Angle-Gamma.py
diff --git a/src/Plot-Angle-GammaV2.py b/Python-Scripts/Plot-Angle-GammaV2.py
similarity index 100%
rename from src/Plot-Angle-GammaV2.py
rename to Python-Scripts/Plot-Angle-GammaV2.py
diff --git a/src/Plot-Angle-GammaV2_SubPlots.py b/Python-Scripts/Plot-Angle-GammaV2_SubPlots.py
similarity index 100%
rename from src/Plot-Angle-GammaV2_SubPlots.py
rename to Python-Scripts/Plot-Angle-GammaV2_SubPlots.py
diff --git a/src/Plot-Angle-q3.py b/Python-Scripts/Plot-Angle-q3.py
similarity index 100%
rename from src/Plot-Angle-q3.py
rename to Python-Scripts/Plot-Angle-q3.py
diff --git a/src/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py b/Python-Scripts/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py
similarity index 99%
rename from src/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py
rename to Python-Scripts/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py
index 0b46e00b..a226a814 100644
--- a/src/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py
+++ b/Python-Scripts/Plot-AngleCurv-Alpha_intermediateGamma_SubPlots.py
@@ -96,7 +96,7 @@ beta = 10.0
# beta=2
plot_curvature = True
-# plot_curvature = False
+plot_curvature = False
@@ -137,8 +137,8 @@ xmax = 1.25
numPoints = 2000
numPoints = 300
numPoints = 500
-# numPoints = 50
-# numPoints = 100
+numPoints = 50
+numPoints = 100
X_Values = np.linspace(xmin, xmax, num=numPoints)
X_Values = np.array(X_Values)
print(X_Values)
diff --git a/src/Plot-AngleCurvature-GammaV2_SubPlots.py b/Python-Scripts/Plot-AngleCurvature-GammaV2_SubPlots.py
similarity index 100%
rename from src/Plot-AngleCurvature-GammaV2_SubPlots.py
rename to Python-Scripts/Plot-AngleCurvature-GammaV2_SubPlots.py
diff --git a/src/Plot-Curvature-Alpha_intermediateGamma.py b/Python-Scripts/Plot-Curvature-Alpha_intermediateGamma.py
similarity index 100%
rename from src/Plot-Curvature-Alpha_intermediateGamma.py
rename to Python-Scripts/Plot-Curvature-Alpha_intermediateGamma.py
diff --git a/src/Plot-Curvature-Gamma.py b/Python-Scripts/Plot-Curvature-Gamma.py
similarity index 100%
rename from src/Plot-Curvature-Gamma.py
rename to Python-Scripts/Plot-Curvature-Gamma.py
diff --git a/src/Plot-Curvature-GammaV2.py b/Python-Scripts/Plot-Curvature-GammaV2.py
similarity index 100%
rename from src/Plot-Curvature-GammaV2.py
rename to Python-Scripts/Plot-Curvature-GammaV2.py
diff --git a/src/Plot-Curvature-GammaV2_SubPlots.py b/Python-Scripts/Plot-Curvature-GammaV2_SubPlots.py
similarity index 100%
rename from src/Plot-Curvature-GammaV2_SubPlots.py
rename to Python-Scripts/Plot-Curvature-GammaV2_SubPlots.py
diff --git a/src/Plot-Curvature-q3.py b/Python-Scripts/Plot-Curvature-q3.py
similarity index 100%
rename from src/Plot-Curvature-q3.py
rename to Python-Scripts/Plot-Curvature-q3.py
diff --git a/src/Plot-Energy_Axial.py b/Python-Scripts/Plot-Energy_Axial.py
similarity index 100%
rename from src/Plot-Energy_Axial.py
rename to Python-Scripts/Plot-Energy_Axial.py
diff --git a/src/Plot_Angle_Alpha.py b/Python-Scripts/Plot_Angle_Alpha.py
similarity index 99%
rename from src/Plot_Angle_Alpha.py
rename to Python-Scripts/Plot_Angle_Alpha.py
index d9130450..297809a7 100644
--- a/src/Plot_Angle_Alpha.py
+++ b/Python-Scripts/Plot_Angle_Alpha.py
@@ -190,7 +190,7 @@ theta = 0.5
gamma = 'infinity' #Elliptic Setting
-# gamma = '0' #Hyperbolic Settings
+gamma = '0' #Hyperbolic Settings
# gamma = 0.5
@@ -582,7 +582,8 @@ ax.grid(True,which='major',axis='both',alpha=0.3)
# --- leave out jumps:
# ax.scatter(X_Values, Y_Values)
-ax.set_xlabel(r"prestrain ratio $\theta_\rho$")
+# ax.set_xlabel(r"prestrain ratio $\theta_\rho$")
+ax.set_xlabel(r"$\theta_\rho$")
ax.set_ylabel(r"angle $\alpha$")
diff --git a/src/Plot_Angle_Lemma1.4-Backup.py b/Python-Scripts/Plot_Angle_Lemma1.4-Backup.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4-Backup.py
rename to Python-Scripts/Plot_Angle_Lemma1.4-Backup.py
diff --git a/src/Plot_Angle_Lemma1.4.py b/Python-Scripts/Plot_Angle_Lemma1.4.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4.py
rename to Python-Scripts/Plot_Angle_Lemma1.4.py
diff --git a/src/Plot_Angle_Lemma1.4V2.py b/Python-Scripts/Plot_Angle_Lemma1.4V2.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4V2.py
rename to Python-Scripts/Plot_Angle_Lemma1.4V2.py
diff --git a/src/Plot_Angle_Lemma1.4V3.py b/Python-Scripts/Plot_Angle_Lemma1.4V3.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4V3.py
rename to Python-Scripts/Plot_Angle_Lemma1.4V3.py
diff --git a/src/Plot_Angle_Lemma1.4V3_Transition.py b/Python-Scripts/Plot_Angle_Lemma1.4V3_Transition.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4V3_Transition.py
rename to Python-Scripts/Plot_Angle_Lemma1.4V3_Transition.py
diff --git a/src/Plot_Angle_Lemma1.4V3_Transition_Beta2.py b/Python-Scripts/Plot_Angle_Lemma1.4V3_Transition_Beta2.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4V3_Transition_Beta2.py
rename to Python-Scripts/Plot_Angle_Lemma1.4V3_Transition_Beta2.py
diff --git a/src/Plot_Angle_Lemma1.4_ChangeGamma.py b/Python-Scripts/Plot_Angle_Lemma1.4_ChangeGamma.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4_ChangeGamma.py
rename to Python-Scripts/Plot_Angle_Lemma1.4_ChangeGamma.py
diff --git a/src/Plot_Angle_Lemma1.4_subPlots.py b/Python-Scripts/Plot_Angle_Lemma1.4_subPlots.py
similarity index 100%
rename from src/Plot_Angle_Lemma1.4_subPlots.py
rename to Python-Scripts/Plot_Angle_Lemma1.4_subPlots.py
diff --git a/src/Plot_Angle_Theta.py b/Python-Scripts/Plot_Angle_Theta.py
similarity index 100%
rename from src/Plot_Angle_Theta.py
rename to Python-Scripts/Plot_Angle_Theta.py
diff --git a/src/Plot_Angle_Theta_intermediateGamma.py b/Python-Scripts/Plot_Angle_Theta_intermediateGamma.py
similarity index 100%
rename from src/Plot_Angle_Theta_intermediateGamma.py
rename to Python-Scripts/Plot_Angle_Theta_intermediateGamma.py
diff --git a/src/Plot_CurvatureLemma1.4.py b/Python-Scripts/Plot_CurvatureLemma1.4.py
similarity index 100%
rename from src/Plot_CurvatureLemma1.4.py
rename to Python-Scripts/Plot_CurvatureLemma1.4.py
diff --git a/src/Plot_CurvatureLemma1.4_alpha3.0.py b/Python-Scripts/Plot_CurvatureLemma1.4_alpha3.0.py
similarity index 100%
rename from src/Plot_CurvatureLemma1.4_alpha3.0.py
rename to Python-Scripts/Plot_CurvatureLemma1.4_alpha3.0.py
diff --git a/src/Plot_Curvature_Alpha.py b/Python-Scripts/Plot_Curvature_Alpha.py
similarity index 98%
rename from src/Plot_Curvature_Alpha.py
rename to Python-Scripts/Plot_Curvature_Alpha.py
index 30e431e5..1f27f838 100644
--- a/src/Plot_Curvature_Alpha.py
+++ b/Python-Scripts/Plot_Curvature_Alpha.py
@@ -581,7 +581,8 @@ ax.grid(True,which='major',axis='both',alpha=0.3)
# --- leave out jumps:
# ax.scatter(X_Values, Y_Values)
-ax.set_xlabel(r"prestrain ratio $\theta_\rho$")
+# ax.set_xlabel(r"prestrain ratio $\theta_\rho$")
+ax.set_xlabel(r"$\theta_\rho$")
ax.set_ylabel(r"Curvature $\kappa$")
@@ -626,10 +627,10 @@ if Jumps:
# )
#
# ax.text(X_Values[jump_idx[1]]+0.05, Y_Values[jump_idx[1]]+0.02, r"$1$", size=6, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5))
- ax.text(X_Values[jump_idx[0]]+0.15, Y_Values[jump_idx[0]]+0.08, r"$2$", size=8, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5)
+ ax.text(X_Values[jump_idx[0]]+0.10, Y_Values[jump_idx[0]]+0.10, r"$1$", size=8, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5)
)
- ax.text(X_Values[jump_idx[1]]+0.15, Y_Values[jump_idx[1]]+0.08, r"$1$", size=8, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5))
+ ax.text(X_Values[jump_idx[1]]+0.10, Y_Values[jump_idx[1]]+0.10, r"$2$", size=8, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5))
else :
ax.scatter([X_Values[jump_idx[0]]],[Y_Values[jump_idx[0]]],s=8, marker='o', cmap=None, norm=None, facecolor = 'black',
@@ -638,7 +639,7 @@ if Jumps:
# ax.text(X_Values[jump_idx[0]]+0.05, Y_Values[jump_idx[0]]+0.02, r"$1$", size=6, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5)
# )
- ax.text(X_Values[jump_idx[0]]+0.15, Y_Values[jump_idx[0]]+0.08, r"$1$", size=8, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5)
+ ax.text(X_Values[jump_idx[0]]+0.10, Y_Values[jump_idx[0]]+0.10, r"$1$", size=8, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5)
)
# ax.text(X_Values[jump_idx[1]]+0.05, Y_Values[jump_idx[1]]+0.02, r"$1$", size=6, bbox=dict(boxstyle="circle",facecolor='white', alpha=1.0, pad=0.1, linewidth=0.5))
diff --git a/src/Plot_Curvature_Lemma1.4V3.py b/Python-Scripts/Plot_Curvature_Lemma1.4V3.py
similarity index 100%
rename from src/Plot_Curvature_Lemma1.4V3.py
rename to Python-Scripts/Plot_Curvature_Lemma1.4V3.py
diff --git a/src/Plot_Curvature_TransitionArea.py b/Python-Scripts/Plot_Curvature_TransitionArea.py
similarity index 100%
rename from src/Plot_Curvature_TransitionArea.py
rename to Python-Scripts/Plot_Curvature_TransitionArea.py
diff --git a/src/Plot_Lemma1.4.py b/Python-Scripts/Plot_Lemma1.4.py
similarity index 100%
rename from src/Plot_Lemma1.4.py
rename to Python-Scripts/Plot_Lemma1.4.py
diff --git a/src/Plot_MinVec.py b/Python-Scripts/Plot_MinVec.py
similarity index 100%
rename from src/Plot_MinVec.py
rename to Python-Scripts/Plot_MinVec.py
diff --git a/src/Plot_MinVec_v2.py b/Python-Scripts/Plot_MinVec_v2.py
similarity index 100%
rename from src/Plot_MinVec_v2.py
rename to Python-Scripts/Plot_MinVec_v2.py
diff --git a/src/Plot_Prestrain_Lemma1.4.py b/Python-Scripts/Plot_Prestrain_Lemma1.4.py
similarity index 100%
rename from src/Plot_Prestrain_Lemma1.4.py
rename to Python-Scripts/Plot_Prestrain_Lemma1.4.py
diff --git a/src/Plot_Prestrain_Lemma1.4_Betas.py b/Python-Scripts/Plot_Prestrain_Lemma1.4_Betas.py
similarity index 100%
rename from src/Plot_Prestrain_Lemma1.4_Betas.py
rename to Python-Scripts/Plot_Prestrain_Lemma1.4_Betas.py
diff --git a/src/Plot_Prestrain_Lemma1.4_SubPlots.py b/Python-Scripts/Plot_Prestrain_Lemma1.4_SubPlots.py
similarity index 100%
rename from src/Plot_Prestrain_Lemma1.4_SubPlots.py
rename to Python-Scripts/Plot_Prestrain_Lemma1.4_SubPlots.py
diff --git a/src/Plot_aStar.py b/Python-Scripts/Plot_aStar.py
similarity index 100%
rename from src/Plot_aStar.py
rename to Python-Scripts/Plot_aStar.py
diff --git a/src/Plot_aStar_elliptic.py b/Python-Scripts/Plot_aStar_elliptic.py
similarity index 100%
rename from src/Plot_aStar_elliptic.py
rename to Python-Scripts/Plot_aStar_elliptic.py
diff --git a/src/Plot_aStar_hyperbolic.py b/Python-Scripts/Plot_aStar_hyperbolic.py
similarity index 100%
rename from src/Plot_aStar_hyperbolic.py
rename to Python-Scripts/Plot_aStar_hyperbolic.py
diff --git a/src/Plot_elasticQuantities.py b/Python-Scripts/Plot_elasticQuantities.py
similarity index 100%
rename from src/Plot_elasticQuantities.py
rename to Python-Scripts/Plot_elasticQuantities.py
diff --git a/src/Plotq12.py b/Python-Scripts/Plotq12.py
similarity index 100%
rename from src/Plotq12.py
rename to Python-Scripts/Plotq12.py
diff --git a/src/TestAngle.py b/Python-Scripts/TestAngle.py
similarity index 100%
rename from src/TestAngle.py
rename to Python-Scripts/TestAngle.py
diff --git a/src/makePlot.py b/Python-Scripts/makePlot.py
similarity index 100%
rename from src/makePlot.py
rename to Python-Scripts/makePlot.py
diff --git a/src/makePlotmuGamma.py b/Python-Scripts/makePlotmuGamma.py
similarity index 100%
rename from src/makePlotmuGamma.py
rename to Python-Scripts/makePlotmuGamma.py
diff --git a/Python-Scripts/mayHavetoBein_src-Folder.txt b/Python-Scripts/mayHavetoBein_src-Folder.txt
new file mode 100644
index 00000000..8b137891
--- /dev/null
+++ b/Python-Scripts/mayHavetoBein_src-Folder.txt
@@ -0,0 +1 @@
+
diff --git a/src/plot-q3-gamma.py b/Python-Scripts/plot-q3-gamma.py
similarity index 100%
rename from src/plot-q3-gamma.py
rename to Python-Scripts/plot-q3-gamma.py
diff --git a/src/plot_Elastic_and_PrestrainRatio.py b/Python-Scripts/plot_Elastic_and_PrestrainRatio.py
similarity index 100%
rename from src/plot_Elastic_and_PrestrainRatio.py
rename to Python-Scripts/plot_Elastic_and_PrestrainRatio.py
diff --git a/src/Cell-Problem.cc b/src/Cell-Problem.cc
index d05eb93b..dbb84e93 100644
--- a/src/Cell-Problem.cc
+++ b/src/Cell-Problem.cc
@@ -858,7 +858,7 @@ int main(int argc, char *argv[])
ParameterTreeParser::readOptions(argc, argv, parameterSet);
}
- // Output setter
+ //--- Output setter
// std::string outputPath = parameterSet.get("outputPath", "../../outputs/output.txt");
// std::string outputPath = parameterSet.get("outputPath", "/home/klaus/Desktop/DUNE/dune-microstructure/outputs/output.txt");
std::string outputPath = parameterSet.get("outputPath", "/home/klaus/Desktop/DUNE/dune-microstructure/outputs");
@@ -1484,9 +1484,8 @@ int main(int argc, char *argv[])
double alpha = parameterSet.get<double>("alpha", 2.0);
double p2 = alpha*p1;
- if (imp == "parametrized_Laminate") // print Errors only for analytical_Example
+ if (imp == "parametrized_Laminate" && lambda1==0 ) // only in this case we know an analytical solution
{
-
double rho1 = parameterSet.get<double>("rho1", 1.0);
// double b1_hat_ana = (-(theta/4.0)*mu1*mu2)/(theta*mu1+(1.0-theta)*mu2);
// double b2_hat_ana = -(theta/4.0)*mu2;
@@ -1530,12 +1529,7 @@ int main(int argc, char *argv[])
Storage_Quantities.push_back(std::abs(b2_eff_ana - Beff[1]));
Storage_Quantities.push_back(std::abs(b3_eff_ana - Beff[2]));
}
-
-
-
-
-
- if (imp == "analytical_Example") // print Errors only for analytical_Example
+ else if (imp == "analytical_Example") // print Errors only for analytical_Example
{
std::cout << ((3.0*p1)/2.0)*beta*(1-(theta*(1+alpha))) << std::endl; // TODO ERROR in paper ??
@@ -1696,7 +1690,9 @@ int main(int argc, char *argv[])
if (write_materialFunctions)
{
using VTKGridType = YaspGrid<dim, EquidistantOffsetCoordinates<double, dim> >;
- VTKGridType grid_VTK({-1.0/2.0, -1.0/2.0, -1.0/2.0},{1.0/2.0, 1.0/2.0, 1.0/2.0},{80,80,80});
+// VTKGridType grid_VTK({-1.0/2.0, -1.0/2.0, -1.0/2.0},{1.0/2.0, 1.0/2.0, 1.0/2.0},{80,80,80});
+ VTKGridType grid_VTK({-1.0/2.0, -1.0/2.0, -1.0/2.0},{1.0/2.0, 1.0/2.0, 1.0/2.0},nElements);
+
using GridViewVTK = VTKGridType::LeafGridView;
const GridViewVTK gridView_VTK = grid_VTK.leafGridView();
@@ -1773,7 +1769,6 @@ int main(int argc, char *argv[])
PrestrainVtkWriter.write(outputPath + "/PrestrainFunctions-level"+ std::to_string(level) );
std::cout << "wrote data to file:" + outputPath +"/PrestrainFunctions-level" + std::to_string(level) << std::endl;
-
}
@@ -1822,7 +1817,7 @@ int main(int argc, char *argv[])
}
//////////////// OUTPUT QUANTITIES TABLE //////////////
- if (imp == "analytical_Example") // print Errors only for analytical_Example
+ if (imp == "analytical_Example" || (imp == "parametrized_Laminate" && lambda1==0 ) ) // print Errors only for analytical_Example
{
std::cout << std::string(tableWidth*7 + 3*7, '-') << "\n";
std::cout << center("Levels ",tableWidth) << " | "
@@ -1862,7 +1857,6 @@ int main(int argc, char *argv[])
<< center("b2",tableWidth) << " | "
<< center("b3",tableWidth) << " | " << "\n";
log << std::string(tableWidth*7 + 3*7, '-') << "\n";
-
}
int StorageCount2 = 0;
diff --git a/src/Compute_MuGamma.cc b/src/Compute_MuGamma.cc
index 7002e4b5..8d15b401 100644
--- a/src/Compute_MuGamma.cc
+++ b/src/Compute_MuGamma.cc
@@ -925,20 +925,12 @@ int main(int argc, char *argv[])
-
-
-
-
-
-
-
std::cout << "beta : " << beta << std::endl;
std::cout << "theta : " << theta << std::endl;
std::cout << "Gamma : " << gamma << std::endl;
std::cout << "mu_gamma:" << mu_gamma << std::endl;
-
// Output result
std::string VTKOutputName = outputPath + "/Compute_MuGamma-Result";
diff --git a/src/PhaseDiagram_PlotScript_GammaInf_shifted.py b/src/PhaseDiagram_PlotScript_GammaInf_shifted.py
deleted file mode 100644
index 31ce3edb..00000000
--- a/src/PhaseDiagram_PlotScript_GammaInf_shifted.py
+++ /dev/null
@@ -1,761 +0,0 @@
-# To ensure correct image size when batch processing, please search
-# for and uncomment the line `# renderView*.ViewSize = [*,*]`
-
-#### import the simple module from the paraview
-from paraview.simple import *
-#### disable automatic camera reset on 'Show'
-paraview.simple._DisableFirstRenderCameraReset()
-
-#--- Run in Terminal with: 'pvbatch PhaseDiagram_PlotScript.py'
-
-
-# ----- CREATE A Phase Diagram for the following cases:
-# 1. (Hyperbolic Case) Gamma = '0'
-# 2. (Elliptic Case) Gamma = 'infinity'
-#
-# case = 1
-# case = 2
-#
-drawLine = False
-
-
-
-
-# hide_redcolor = True
-hide_redcolor = False
-# hide_legend = True
-hide_legend = False
-
-gamma = 'infinity'
-# gamma = '0'
-
-
-
-# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGamma0.vts'])
-# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity.vts'])
-phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_shifted_150SP.vts'])
-# phaseDiagram3DGammainfinityvts = XMLStructuredGridReader(FileName=['/home/klaus/Desktop/DUNE/dune-microstructure/outputs/PhaseDiagram3DGammainfinity_300P.vts'])
-
-
-
-
-
-
-phaseDiagram3DGammainfinityvts.PointArrayStatus = ['Type', 'angles', 'curvature']
-
-# get active view
-renderView1 = GetActiveViewOrCreate('RenderView')
-# uncomment following to set a specific view size
-# renderView1.ViewSize = [999, 547]
-
-## ---- Set a specific view size:
-renderView1.ViewSize = [1257, 934]
-
-# show data in view
-phaseDiagram3DGammainfinityvtsDisplay = Show(phaseDiagram3DGammainfinityvts, renderView1)
-# trace defaults for the display properties.
-phaseDiagram3DGammainfinityvtsDisplay.Representation = 'Outline'
-phaseDiagram3DGammainfinityvtsDisplay.ColorArrayName = ['POINTS', '']
-phaseDiagram3DGammainfinityvtsDisplay.OSPRayScaleArray = 'Type'
-phaseDiagram3DGammainfinityvtsDisplay.OSPRayScaleFunction = 'PiecewiseFunction'
-phaseDiagram3DGammainfinityvtsDisplay.SelectOrientationVectors = 'None'
-phaseDiagram3DGammainfinityvtsDisplay.ScaleFactor = 4.0
-phaseDiagram3DGammainfinityvtsDisplay.SelectScaleArray = 'Type'
-phaseDiagram3DGammainfinityvtsDisplay.GlyphType = 'Arrow'
-phaseDiagram3DGammainfinityvtsDisplay.GlyphTableIndexArray = 'Type'
-phaseDiagram3DGammainfinityvtsDisplay.GaussianRadius = 0.2
-phaseDiagram3DGammainfinityvtsDisplay.SetScaleArray = ['POINTS', 'Type']
-phaseDiagram3DGammainfinityvtsDisplay.ScaleTransferFunction = 'PiecewiseFunction'
-phaseDiagram3DGammainfinityvtsDisplay.OpacityArray = ['POINTS', 'Type']
-phaseDiagram3DGammainfinityvtsDisplay.OpacityTransferFunction = 'PiecewiseFunction'
-phaseDiagram3DGammainfinityvtsDisplay.DataAxesGrid = 'GridAxesRepresentation'
-phaseDiagram3DGammainfinityvtsDisplay.PolarAxes = 'PolarAxesRepresentation'
-phaseDiagram3DGammainfinityvtsDisplay.ScalarOpacityUnitDistance = 1.1546332790816523
-
-# init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
-phaseDiagram3DGammainfinityvtsDisplay.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
-
-# init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
-phaseDiagram3DGammainfinityvtsDisplay.ScaleTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
-
-# init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
-phaseDiagram3DGammainfinityvtsDisplay.OpacityTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
-
-# reset view to fit data
-renderView1.ResetCamera()
-
-# update the view to ensure updated data information
-renderView1.Update()
-
-# create a new 'Transform'
-transform1 = Transform(Input=phaseDiagram3DGammainfinityvts)
-transform1.Transform = 'Transform'
-
-# Properties modified on transform1.Transform
-transform1.Transform.Scale = [0.05, 0.05, 1.0]
-
-# Properties modified on transform1.Transform
-# transform1.Transform.Scale = [0.025, 1.0, 1.0]
-
-# show data in view
-transform1Display = Show(transform1, renderView1)
-
-# trace defaults for the display properties.
-transform1Display.Representation = 'Outline'
-transform1Display.ColorArrayName = ['POINTS', '']
-transform1Display.OSPRayScaleArray = 'Type'
-transform1Display.OSPRayScaleFunction = 'PiecewiseFunction'
-transform1Display.SelectOrientationVectors = 'None'
-transform1Display.ScaleFactor = 0.1
-transform1Display.SelectScaleArray = 'Type'
-transform1Display.GlyphType = 'Arrow'
-transform1Display.GlyphTableIndexArray = 'Type'
-transform1Display.GaussianRadius = 0.005
-transform1Display.SetScaleArray = ['POINTS', 'Type']
-transform1Display.ScaleTransferFunction = 'PiecewiseFunction'
-transform1Display.OpacityArray = ['POINTS', 'Type']
-transform1Display.OpacityTransferFunction = 'PiecewiseFunction'
-transform1Display.DataAxesGrid = 'GridAxesRepresentation'
-transform1Display.PolarAxes = 'PolarAxesRepresentation'
-transform1Display.ScalarOpacityUnitDistance = 0.035113904022862234
-
-# init the 'PiecewiseFunction' selected for 'OSPRayScaleFunction'
-transform1Display.OSPRayScaleFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.213836476688135, 0.625, 0.5, 0.0, 1.3616352081298828, 0.6691176295280457, 0.5, 0.0, 1.6666333299996667, 0.8676470518112183, 0.5, 0.0, 1.7358490228652954, 0.6911764740943909, 0.5, 0.0, 2.0, 0.8014705777168274, 0.5, 0.0]
-# init the 'PiecewiseFunction' selected for 'ScaleTransferFunction'
-transform1Display.ScaleTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
-# init the 'PiecewiseFunction' selected for 'OpacityTransferFunction'
-transform1Display.OpacityTransferFunction.Points = [1.0, 0.8602941036224365, 0.5, 0.0, 1.4276729533762702, 0.625, 0.5, 0.0, 1.7232704162597656, 0.6691176295280457, 0.5, 0.0, 2.3332666599993335, 0.8676470518112183, 0.5, 0.0, 2.471698045730591, 0.6911764740943909, 0.5, 0.0, 3.0, 0.8014705777168274, 0.5, 0.0]
-
-# hide data in view
-Hide(phaseDiagram3DGammainfinityvts, renderView1)
-
-# update the view to ensure updated data information
-renderView1.Update()
-#
-# reset view to fit data
-renderView1.ResetCamera()
-
-# -------------------------------------------------------------
-
-# toggle 3D widget visibility (only when running from the GUI)
-Hide3DWidgets(proxy=transform1.Transform)
-
-# set scalar coloring
-ColorBy(transform1Display, ('POINTS', 'angles'))
-
-# rescale color and/or opacity maps used to include current data range
-transform1Display.RescaleTransferFunctionToDataRange(True, False)
-
-# show color bar/color legend
-transform1Display.SetScalarBarVisibility(renderView1, True)
-
-# get color transfer function/color map for 'angles'
-anglesLUT = GetColorTransferFunction('angles')
-
-# get opacity transfer function/opacity map for 'angles'
-anglesPWF = GetOpacityTransferFunction('angles')
-
-# --- change representation type
-transform1Display.SetRepresentationType('Point Gaussian')
-
-# Properties modified on transform1Display
-transform1Display.ShaderPreset = 'Plain circle'
-
-# --- Properties modified on transform1Display
-transform1Display.GaussianRadius = 0.0075
-# Properties modified on transform1Display
-
-##--- SET OPACITY
-# transform1Display.Opacity = 0.07
-transform1Display.Opacity = 0.03 #overall Opacity
-# transform1Display.Opacity = 0.15 #overall Opacity
-
-# -------------- CHANGE COLORMAP ------------------
-# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-
-#anglesLUT.ApplyPreset('Cool to Warm', True)
-anglesLUT.ApplyPreset('Jet', True)
-
-
-
-
-
-## (Optional?) Adjust ColorMap:
-# get opacity transfer function/opacity map for 'angles'
-anglesPWF = GetOpacityTransferFunction('angles') #
-# get color transfer function
-colorMap = GetColorTransferFunction('angles')
-
-# get color transfer function/color map for 'angles'
-anglesLUT = GetColorTransferFunction('angles')
-anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
-anglesLUT.InterpretValuesAsCategories = 0
-anglesLUT.AnnotationsInitialized = 0
-anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
-anglesLUT.RescaleOnVisibilityChange = 0
-anglesLUT.EnableOpacityMapping = 1
-anglesLUT.RGBPoints = [0.0, 0.23137254902, 0.298039215686, 0.752941176471, 0.9632241725921631, 0.865, 0.865, 0.865, 1.5707963267948966, 0.705882352941, 0.0156862745098, 0.149019607843]
-anglesLUT.UseLogScale = 0
-anglesLUT.ColorSpace = 'Diverging'
-anglesLUT.UseBelowRangeColor = 0
-anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
-anglesLUT.UseAboveRangeColor = 0
-anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
-anglesLUT.NanColor = [1.0, 1.0, 0.0]
-anglesLUT.NanOpacity = 1.0
-anglesLUT.Discretize = 1
-anglesLUT.NumberOfTableValues = 256
-anglesLUT.ScalarRangeInitialized = 1.0
-anglesLUT.HSVWrap = 0
-anglesLUT.VectorComponent = 0
-anglesLUT.VectorMode = 'Magnitude'
-anglesLUT.AllowDuplicateScalars = 1
-anglesLUT.Annotations = []
-anglesLUT.ActiveAnnotatedValues = []
-anglesLUT.IndexedColors = []
-anglesLUT.IndexedOpacities = []
-
-# get opacity transfer function/opacity map for 'angles'
-anglesPWF = GetOpacityTransferFunction('angles')
-# anglesPWF.Points = [0.0, 0.05882352963089943, 0.5, 0.0, 0.7607001066207886, 1.0, 0.5, 0.0, 0.8693715333938599, 1.0, 0.5, 0.0, 1.0175598859786987, 1.0, 0.5, 0.0, 1.12623131275177, 1.0, 0.5, 0.0, 1.5707963267948966, 1.0, 0.5, 0.0]
-anglesPWF.AllowDuplicateScalars = 1
-anglesPWF.UseLogScale = 0
-anglesPWF.ScalarRangeInitialized = 1
-
-# Properties modified on anglesPWF
-# anglesPWF.Points = [0.0, 0.3014705777168274, 0.5, 0.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
-
-
-# # Properties modified on anglesPWF
-# anglesPWF.Points = [0.0, 0.037, 0.5, 1.0, 0.33589355211648514, 0.625, 0.5, 0.0, 0.5680552565701278, 0.6691176295280457, 0.5, 0.0, 1.0471451860825267, 0.8676470518112183, 0.5, 0.0, 1.15586894219242, 0.6911764740943909, 0.5, 0.0, 1.5707963267948966, 0.8014705777168274, 0.5, 0.0]
-# Properties modified on anglesPWF
-# anglesPWF.Points = [0.0, 0.036764707416296005, 0.5, 0.0, 0.7607001066207886, 1.0, 0.5, 0.0, 0.8693715333938599, 1.0, 0.5, 0.0, 1.0175598859786987, 1.0, 0.5, 0.0, 1.12623131275177, 1.0, 0.5, 0.0, 1.5707963267948966, 1.0, 0.5, 0.0]
-anglesPWF.Points = [0.1, 0.136764707416296005, 0.5, 0.0, 0.7607001066207886, 1.0, 0.5, 0.0, 0.8693715333938599, 1.0, 0.5, 0.0, 1.0175598859786987, 1.0, 0.5, 0.0, 1.12623131275177, 1.0, 0.5, 0.0, 1.5707963267948966, 1.0, 0.5, 0.0]
-# rescale color and/or opacity maps used to exactly fit the current data range
-transform1Display.RescaleTransferFunctionToDataRange(False, True)
-# # Properties modified on anglesPWF
-
-
-# Properties modified on anglesLUT
-anglesLUT.EnableOpacityMapping = 0
-anglesLUT.EnableOpacityMapping = 1
-
-
-
-## ---- AXES GRID PROPERTIES -----
-# Properties modified on renderView1.AxesGrid
-renderView1.AxesGrid.Visibility = 1
-
-# Properties modified on renderView1.AxesGrid
-renderView1.AxesGrid.XTitle = ' $\\theta_\\rho$ '
-renderView1.AxesGrid.YTitle = ' $\\theta_\\mu$ '
-renderView1.AxesGrid.ZTitle = ' $\\theta$ '
-
-# renderView1.AxesGrid.XTitleFontSize = 45 #24
-# renderView1.AxesGrid.YTitleFontSize = 45
-# renderView1.AxesGrid.ZTitleFontSize = 45
-# renderView1.AxesGrid.XLabelFontSize = 30 #default:12
-# renderView1.AxesGrid.YLabelFontSize = 30
-# renderView1.AxesGrid.ZLabelFontSize = 30
-
-renderView1.AxesGrid.XTitleFontSize = 65 #24
-renderView1.AxesGrid.YTitleFontSize = 65
-renderView1.AxesGrid.ZTitleFontSize = 65
-renderView1.AxesGrid.XLabelFontSize = 45 #default:12
-renderView1.AxesGrid.YLabelFontSize = 45
-renderView1.AxesGrid.ZLabelFontSize = 45
-
-# ---- Switch of/on OrientationAXES:
-# renderView1.OrientationAxesVisibility = 1
-renderView1.OrientationAxesVisibility = 0
-# rv = GetRenderView()
-# renderView1.OrientationAxesLabelColor = [0.5, 0.5, 0.5]
-# Render()
-
-# ---- Switch Grid On/Off:
-renderView1.AxesGrid.ShowGrid = 1
-
-# # reset view to fit data
-# renderView1.ResetCamera()
-
-
-## Properties modified on renderView1.AxesGrid
-## -- COLOR/Font-Size OF AXES-TITLE:
-## -- Green:
-# renderView1.AxesGrid.XTitleColor = [0.5411764705882353, 0.8862745098039215, 0.20392156862745098]
-# renderView1.AxesGrid.YTitleColor = [0.5411764705882353, 0.8862745098039215, 0.20392156862745098]
-# renderView1.AxesGrid.ZTitleColor = [0.5411764705882353, 0.8862745098039215, 0.20392156862745098]
-## -- White:
-# renderView1.AxesGrid.XTitleColor = [1.0, 1.0, 1.0]
-# renderView1.AxesGrid.YTitleColor = [1.0, 1.0, 1.0]
-# renderView1.AxesGrid.ZTitleColor = [1.0, 1.0, 1.0]
-
-
-
-# Properties modified on renderView1.AxesGrid
-# --- Change FontSize of Values on Axis:
-
-
-# # --- Change Color of Values on Axis:
-## -- Green:
-# # renderView1.AxesGrid.XLabelColor = [0.5411764705882353, 0.8862745098039215, 0.20392156862745098]
-# # renderView1.AxesGrid.YLabelColor = [0.5411764705882353, 0.8862745098039215, 0.20392156862745098]
-# # renderView1.AxesGrid.ZLabelColor = [0.5411764705882353, 0.8862745098039215, 0.20392156862745098]
-## -- White:
-renderView1.AxesGrid.XLabelColor = [1.0, 1.0, 1.0]
-renderView1.AxesGrid.YLabelColor = [1.0, 1.0, 1.0]
-renderView1.AxesGrid.ZLabelColor = [1.0, 1.0, 1.0]
-
-## --- Render Axes only on certain Facets:
-renderView1.AxesGrid.FacesToRender = 7
-renderView1.AxesGrid.ShowEdges = 0
-renderView1.AxesGrid.AxesToLabel = 24
-
-
-## ----------- Scale Data on Axes:
-renderView1.AxesGrid.DataScale = [0.05, 0.05, 1.0]
-#
-# # Properties modified on renderView1.AxesGrid
-## ---------- Set Custom Axis-Labels:
-renderView1.AxesGrid.XAxisUseCustomLabels = 1
-renderView1.AxesGrid.ZAxisUseCustomLabels = 1
-renderView1.AxesGrid.YAxisUseCustomLabels = 1
-renderView1.AxesGrid.XAxisLabels = [-5.0, 0.0, 5.0, 10.0, 15.0]
-# renderView1.AxesGrid.YAxisLabels = [0 , 10.0, 20.0, 30.0, 40.0]
-# renderView1.AxesGrid.YAxisLabels = [1 ,5, 10.0,15, 20.0,25, 30.0,35, 40.0]
-renderView1.AxesGrid.YAxisLabels = [1 ,5, 10,15, 20]
-# renderView1.AxesGrid.YAxisLabels = [0 ,5.0, 10.0, 15.0, 20.0, 25.0, 30.0,35.0, 40.0]
-renderView1.AxesGrid.ZAxisLabels = [ 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0]
-
-
-## ---- SET Center-Axis visible:
-renderView1.CenterAxesVisibility = 0
-
-# ----------------- CAMERA POSITION -----------------
-# current camera placement for renderView1
-# renderView1.CameraPosition = [0.9924119707463583, 3.796427396663517, 1.5103327925582364]
-# renderView1.CameraFocalPoint = [0.0, 0.5002500000000001, 0.5]
-# renderView1.CameraViewUp = [-0.03762445763524004, -0.2824789551065148, 0.9585353619505051]
-# renderView1.CameraParallelScale = 0.93323050610355
-renderView1.CameraPosition = [1.320702817430001, 3.4031687433379654, 1.5124027164700495]
-renderView1.CameraFocalPoint = [5.999081648913413e-18, 0.5002500000000002, 0.4999999999999999]
-renderView1.CameraViewUp = [-0.09506057625109621, -0.2889757851908078, 0.9526051030811066]
-renderView1.CameraParallelScale = 0.8660254037844386
-renderView1.EyeAngle = 0.0
-
-renderView1.Update()
-
-
-
-
-# ----------------- LEGEND -----------------
-# get color legend/bar for anglesLUT in view renderView1
-anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
-
-# Properties modified on anglesLUTColorBar
-anglesLUTColorBar.WindowLocation = 'LowerRightCorner'
-anglesLUTColorBar.HorizontalTitle = 1
-anglesLUTColorBar.Title = 'angle $\\alpha$' #'angle $\\angle$'
-anglesLUTColorBar.TextPosition = 'Ticks left/bottom, annotations right/top'
-anglesLUTColorBar.TitleJustification = 'Left'
-# anglesLUTColorBar.TitleJustification = 'Centered'
-
-# show color bar/color legend
-# transform1Display.SetScalarBarVisibility(renderView1, True)
-
-# # # Properties modified on anglesLUTColorBar
-anglesLUTColorBar.AutomaticAnnotations = 0
-anglesLUTColorBar.AddRangeLabels = 0
-anglesLUTColorBar.DrawTickMarks = 0
-anglesLUTColorBar.DrawTickLabels = 0
-anglesLUTColorBar.TitleFontSize = 24
-anglesLUTColorBar.LabelFontSize = 20
-# anglesLUTColorBar.AddRangeAnnotations = 1
-
-## -- Add Annotations :
-anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
-anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
-anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0, 1.0]
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-# # get color legend/bar for anglesLUT in view renderView1
-# anglesLUTColorBar = GetScalarBar(anglesLUT, renderView1)
-
-#
-# if case == 1:
-# ## In Hyperbolic Case only two angles occur...
-# # Use discrete Color map:
-# # # Properties modified on anglesLUT
-# # anglesLUT.InterpretValuesAsCategories = 1
-# # anglesLUT.AnnotationsInitialized = 1
-# #
-# #
-# #
-# # # Properties modified on anglesLUT
-# # anglesLUT.Annotations = ['1.5707963267948966', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
-# # # Properties modified on anglesLUT
-# # anglesLUT.IndexedColors = [1.0, 0.10196078431372549, 0.023529411764705882, 0.03137254901960784, 0.03137254901960784, 1.0]
-# # # Properties modified on anglesLUT
-# # anglesLUT.IndexedOpacities = [1.0, 0.015]
-# # # get active view
-# # renderView1 = GetActiveViewOrCreate('RenderView')
-# # # uncomment following to set a specific view size
-# # # renderView1.ViewSize = [997, 905]
-# #
-# # # get display properties
-# transform1Display = GetDisplayProperties(transform1, view=renderView1)
-# print('Hyperbolic Case (case1)')
-#
-# # get color transfer function/color map for 'angles'
-# anglesLUT = GetColorTransferFunction('angles')
-# anglesLUT.AutomaticRescaleRangeMode = "Grow and update on 'Apply'"
-# anglesLUT.InterpretValuesAsCategories = 1
-# anglesLUT.AnnotationsInitialized = 1
-# anglesLUT.ShowCategoricalColorsinDataRangeOnly = 0
-# anglesLUT.RescaleOnVisibilityChange = 0
-# anglesLUT.EnableOpacityMapping = 1
-# anglesLUT.RGBPoints = [0.0, 0.23137254902, 0.298039215686, 0.752941176471, 0.9632241725921631, 0.865, 0.865, 0.865, 1.5707963267948966, 0.705882352941, 0.0156862745098, 0.149019607843]
-# anglesLUT.UseLogScale = 0
-# anglesLUT.ColorSpace = 'Diverging'
-# anglesLUT.UseBelowRangeColor = 0
-# anglesLUT.BelowRangeColor = [0.0, 0.0, 0.0]
-# anglesLUT.UseAboveRangeColor = 0
-# anglesLUT.AboveRangeColor = [0.5, 0.5, 0.5]
-# anglesLUT.NanColor = [1.0, 1.0, 0.0]
-# anglesLUT.NanOpacity = 1.0
-# anglesLUT.Discretize = 1
-# anglesLUT.NumberOfTableValues = 256
-# anglesLUT.ScalarRangeInitialized = 1.0
-# anglesLUT.HSVWrap = 0
-# anglesLUT.VectorComponent = 0
-# anglesLUT.VectorMode = 'Magnitude'
-# anglesLUT.AllowDuplicateScalars = 1
-# anglesLUT.Annotations = ['1.5707963267948966', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
-# anglesLUT.ActiveAnnotatedValues = []
-# anglesLUT.IndexedColors = [1.0, 0.10196078431372549, 0.023529411764705882, 0.03137254901960784, 0.03137254901960784, 1.0]
-# anglesLUT.IndexedOpacities = [1.0, 0.015]
-#
-# # Properties modified on anglesLUT
-# anglesLUT.Annotations = ['1.5707963267948966', '$\\pi / 2$', '0', '0']
-# anglesLUT.IndexedColors = [1.0, 0.10196078431372549, 0.023529411764705882, 1.0, 0.10196078431372549, 0.023529411764705882]
-# anglesLUT.IndexedOpacities = [1.0, -1.0]
-#
-# # get opacity transfer function/opacity map for 'angles'
-# anglesPWF = GetOpacityTransferFunction('angles')
-# anglesPWF.Points = [0.0, 0.136764707416296, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 1.0, 0.5, 0.0]
-# anglesPWF.AllowDuplicateScalars = 1
-# anglesPWF.UseLogScale = 0
-# anglesPWF.ScalarRangeInitialized = 1
-#
-# # Properties modified on anglesLUT
-# anglesLUT.IndexedColors = [1.0, 0.10196078431372549, 0.023529411764705882, 0.07450980392156863, 0.043137254901960784, 1.0]
-#
-# # Properties modified on anglesLUT
-# anglesLUT.IndexedOpacities = [1.0, 0.01]
-#
-# # get active source.
-# transform1 = GetActiveSource()
-#
-# # get active view
-# renderView1 = GetActiveViewOrCreate('RenderView')
-# # uncomment following to set a specific view size
-# # renderView1.ViewSize = [1257, 934]
-#
-# # get display properties
-# transform1Display = GetDisplayProperties(transform1, view=renderView1)
-#
-# # Properties modified on transform1Display
-# transform1Display.Opacity = 0.2
-#
-# transform1Display.GaussianRadius = 0.02
-#
-# # Properties modified on anglesLUT
-# anglesLUT.IndexedOpacities = [1.0, 0.017]
-# elseif case == 2:
-#
-
-
-
-
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.23137254902, 0.298039215686, 0.752941176471, 0.9632241725921631, 0.865, 0.865, 0.865, 1.5707963267948966, 1.0, 0.0, 0.0]
-
-# get opacity transfer function/opacity map for 'angles'
-anglesPWF = GetOpacityTransferFunction('angles')
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.11764705926179886, 0.5, 0.0]
-anglesPWF.ScalarRangeInitialized = 1
-
-# # Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-# anglesLUT.ApplyPreset('jet', True)
-#
-# # Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-# anglesLUT.ApplyPreset('jet', True)
-#
-# # Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-# anglesLUT.ApplyPreset('jet', True)
-#
-# # Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-# anglesLUT.ApplyPreset('jet', True)
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 0.5625, 0.17453275066650778, 0.0, 0.0, 1.0, 0.5734655375881175, 0.0, 1.0, 1.0, 0.7729315383498405, 0.5, 1.0, 0.5, 0.9723975391115637, 1.0, 1.0, 0.0, 1.3713303260331735, 1.0, 0.0, 0.0, 1.5707963267948966, 0.6588235294117647, 0.0, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.15441176295280457, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.11764705926179886, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.08088235557079315, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.0882352963089943, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.09558823704719543, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.11029411852359772, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.09558823704719543, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.13235294818878174, 0.5, 0.0]
-
-
-
-###-- ALTERNATIVE WARM TO COOL :
-# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-anglesLUT.ApplyPreset('Warm to Cool (Extended)', True)
-
-# get opacity transfer function/opacity map for 'angles'
-anglesPWF = GetOpacityTransferFunction('angles')
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.13235294818878174, 0.5, 0.0]
-anglesPWF.ScalarRangeInitialized = 1
-
-
-# Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
-anglesLUT.ApplyPreset('Warm to Cool (Extended)', True)
-
-#TEST
-# anglesLUT.ApplyPreset('jet', True)
-
-# invert the transfer function
-anglesLUT.InvertTransferFunction()
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4922565104551517, 0.470588, 0.0156863, 0.0901961, 1.5315264186250241, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.34902, 0.0, 0.129412]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.5315264186250241, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.34902, 0.0, 0.129412]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.531279444694519, 0.396078431372549, 0.00392156862745098, 0.10196078431372549, 1.5315264186250241, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.34902, 0.0, 0.129412]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.5016417503356934, 0.396078431372549, 0.00392156862745098, 0.10196078431372549, 1.5315264186250241, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.34902, 0.0, 0.129412]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.5016417503356934, 0.396078431372549, 0.00392156862745098, 0.10196078431372549, 1.5315264186250241, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.6352941176470588, 0.00392156862745098, 0.01568627450980392]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.5315264186250241, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.6352941176470588, 0.00392156862745098, 0.01568627450980392]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.5115209817886353, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.6352941176470588, 0.00392156862745098, 0.01568627450980392]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.6352941176470588, 0.00392156862745098, 0.01568627450980392]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8117647058823529, 0.0, 0.027450980392156862]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.7490196078431373, 0.0, 0.03529411764705882]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.6784313725490196, 0.0, 0.03137254901960784]
-
-# invert the transfer function
-anglesLUT.InvertTransferFunction()
-
-# invert the transfer function
-anglesLUT.InvertTransferFunction()
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.0882352963089943, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.08088235557079315, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.0882352963089943, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.09558823704719543, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.11764705926179886, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.15441176295280457, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.13235294818878174, 0.5, 0.0]
-
-# Properties modified on anglesLUT
-anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8313725490196079, 0.0, 0.0392156862745098]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.09558823704719543, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.125, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.09558823704719543, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.0882352963089943, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.08088235557079315, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.05882352963089943, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.08088235557079315, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.0882352963089943, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.09558823704719543, 0.5, 0.0]
-
-# Properties modified on anglesPWF
-anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
-
-
-if hide_redcolor:
- # get color transfer function/color map for 'angles'
- anglesLUT = GetColorTransferFunction('angles')
- anglesLUT.EnableOpacityMapping = 1
- anglesLUT.RGBPoints = [0.0, 0.12549, 0.0, 0.380392, 0.03926990816987245, 0.113725, 0.0235294, 0.45098, 0.0785398163397449, 0.105882, 0.0509804, 0.509804, 0.11780972450961717, 0.0392157, 0.0392157, 0.560784, 0.15707963267948963, 0.0313725, 0.0980392, 0.6, 0.19634954084936207, 0.0431373, 0.164706, 0.639216, 0.2356194490192345, 0.054902, 0.243137, 0.678431, 0.27488935718910695, 0.054902, 0.317647, 0.709804, 0.31415926535897926, 0.0509804, 0.396078, 0.741176, 0.35342917352885167, 0.0392157, 0.466667, 0.768627, 0.39269908169872414, 0.0313725, 0.537255, 0.788235, 0.450920647551377, 0.0313725, 0.615686, 0.811765, 0.5001541168221094, 0.0235294, 0.709804, 0.831373, 0.5470439579732639, 0.0509804, 0.8, 0.85098, 0.581428689566804, 0.0705882, 0.854902, 0.870588, 0.618940876646993, 0.262745, 0.901961, 0.862745, 0.6478560954306335, 0.423529, 0.941176, 0.87451, 0.6845860259400787, 0.572549, 0.964706, 0.835294, 0.7119383023785582, 0.658824, 0.980392, 0.843137, 0.7361646941267158, 0.764706, 0.980392, 0.866667, 0.7596088293041297, 0.827451, 0.980392, 0.886275, 0.7838273670706534, 0.913725, 0.988235, 0.937255, 0.7853981633974483, 1.0, 1.0, 1.0, 0.7869689597242432, 0.988235, 0.980392, 0.870588, 0.8111874974907669, 0.992157, 0.964706, 0.713725, 0.8322880045486029, 0.988235, 0.956863, 0.643137, 0.8729260763191136, 0.980392, 0.917647, 0.509804, 0.9127818915188803, 0.968627, 0.87451, 0.407843, 0.9495118220283256, 0.94902, 0.823529, 0.321569, 0.9817477042468103, 0.929412, 0.776471, 0.278431, 1.0210176124166828, 0.909804, 0.717647, 0.235294, 1.0602875205865552, 0.890196, 0.658824, 0.196078, 1.0995574287564276, 0.878431, 0.619608, 0.168627, 1.1388273369263, 0.870588, 0.54902, 0.156863, 1.1780972450961724, 0.85098, 0.47451, 0.145098, 1.2173671532660448, 0.831373, 0.411765, 0.133333, 1.2566370614359172, 0.811765, 0.345098, 0.113725, 1.2959069696057897, 0.788235, 0.266667, 0.0941176, 1.335176877775662, 0.741176, 0.184314, 0.0745098, 1.3744467859455345, 0.690196, 0.12549, 0.0627451, 1.413716694115407, 0.619608, 0.0627451, 0.0431373, 1.4571852684020996, 0.4, 0.00392157, 0.101961, 1.5707963267948966, 0.8313725490196079, 0.0, 0.0392156862745098]
- anglesLUT.ColorSpace = 'Lab'
- anglesLUT.NanColor = [0.250004, 0.0, 0.0]
- anglesLUT.ScalarRangeInitialized = 1.0
- anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
- anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
- anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
-
- # Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
- anglesLUT.ApplyPreset('Preset', True)
-
- # get opacity transfer function/opacity map for 'angles'
- anglesPWF = GetOpacityTransferFunction('angles')
- anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.705621357414266, 1.0, 0.5, 0.0, 0.82168139570297, 1.0, 0.5, 0.0, 0.9799451305746117, 1.0, 0.5, 0.0, 1.0960051688633157, 1.0, 0.5, 0.0, 1.5707963267948966, 0.10294117778539658, 0.5, 0.0]
- anglesPWF.ScalarRangeInitialized = 1
-
- # Apply a preset using its name. Note this may not work as expected when presets have duplicate names.
- anglesPWF.ApplyPreset('Preset', True)
-
- # Properties modified on anglesPWF
- anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
-
- # Properties modified on anglesLUT
- anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
-
- # Properties modified on anglesLUT
- anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.996078431372549, 0.9921568627450981, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
-
- # Properties modified on anglesLUT
- anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 0.9888578653335571, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
-
- # Properties modified on anglesLUT
- anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
-
-
-
-
- ###
- # get color transfer function/color map for 'angles'
- anglesLUT = GetColorTransferFunction('angles')
- anglesLUT.EnableOpacityMapping = 1
- anglesLUT.RGBPoints = [0.0, 0.0, 0.0, 1.0, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.0, 0.785929, 0.247056, 0.295477, 0.0, 0.17254901960784313, 0.043137254901960784, 0.9215686274509803, 0.266739073084488, 0.41568627450980394, 0.00392156862745098, 0.9686274509803922, 0.4198669450521392, 0.48627450980392156, 0.0, 0.9725490196078431, 0.7755188552446091, 1.0, 0.058823529411764705, 0.984313725490196, 1.0413635969161987, 1.0, 0.0392156862745098, 0.47058823529411764, 1.2052651084495876, 1.0, 0.0196078431372549, 0.14901960784313725, 1.5707963267948966, 1.0, 0.0, 0.01568627450980392]
- anglesLUT.NanColor = [0.250004, 0.0, 0.0]
- anglesLUT.ScalarRangeInitialized = 1.0
- anglesLUT.Annotations = ['1.57', '$\\pi / 2$', '0.78', '$\\pi/4$', '0', '0']
- anglesLUT.IndexedColors = [1.0, 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 0.0, 0.0]
- anglesLUT.IndexedOpacities = [1.0, 1.0, 1.0]
-
- # get opacity transfer function/opacity map for 'angles'
- anglesPWF = GetOpacityTransferFunction('angles')
- anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.07352941483259201, 0.5, 0.0]
- anglesPWF.ScalarRangeInitialized = 1
-
- # Properties modified on anglesPWF
- anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.036764707416296005, 0.5, 0.0]
-
- # # Properties modified on anglesPWF
- # anglesPWF.Points = [0.0, 1.0, 0.5, 0.0, 0.4445649345539659, 1.0, 0.5, 0.0, 0.7310624366906182, 1.0, 0.5, 0.0, 0.9879222016222671, 1.0, 0.5, 0.0, 1.254661087453241, 0.9926470518112183, 0.5, 0.0, 1.5707963267948966, 0.03, 0.5, 0.0]
-
- #### uncomment the following to render all views
- #### uncomment the following to render all views
-
-
-
-
-# update the view to ensure updated data information
-renderView1.Update()
-
-
-# ----------------- EXPORT -----------------
-# save screenshot
-# SaveScreenshot('/home/klaus/Desktop/PhaseDiagramPlot.png', renderView1, ImageResolution=[1257, 934])
-# SaveScreenshot('/home/klaus/Desktop/PhaseDiagramPlot.png', renderView1, ImageResolution=[2514, 1868])
-# SaveScreenshot('/home/klaus/Desktop/PhaseDiagramPlot.png', renderView1, ImageResolution=[1063, 657])
-
-if gamma == '0' :
- # SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_Gamma0.png', renderView1, ImageResolution=[2126, 1314])
- SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_Gamma0.png', renderView1, ImageResolution=[2126, 1314],OverrideColorPalette='WhiteBackground')
-
-elif gamma == 'infinity':
- # SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_GammaInf.png', renderView1, ImageResolution=[2126, 1314])
- SaveScreenshot('/home/klaus/Desktop/3DPhaseDiagramPlot_GammaInf.png', renderView1, ImageResolution=[2126, 1314],OverrideColorPalette='WhiteBackground')
-# export view
-# ExportView('/home/klaus/Desktop/PhaseDiagramPlot.pdf', view=renderView1)
--
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