def testSquare():
ptlist = {
"vertices": np.array(
((0.0, 0.0), (0.5, 0.0), (1.0, 0.0), (0.0, 0.5), (0.5, 0.5), (1.0, 0.5), (0.0, 1.0), (0.5, 1.0), (1.0, 1.0))
)
}
t = triangle.triangulate(ptlist)
t1 = triangle.triangulate(ptlist, "qa0.001")
triangle.plot.compare(plt, t, t1)
# plt.show()
L, M = FE.assembleMatrices(t)
# print L
# print '\n\n'
# print M
np.savetxt("textL", L)
np.savetxt("textM", M)
eig = FE.eigenvalues(L, M)
elist = eig[0]
efunc = eig[1]
print elist[0]
print elist[1]
print elist[2]
# vertices = np.asarray(t['vertices'])
# faces = np.asarray(t['triangles'])
# x = vertices[:,0]
# y = vertices[:,1]
# z = efunc[1]
# plt.figure()
# plt.tricontourf(x,y,faces,z,cmap='afmhot')
# plt.show()
print "****************************"
L, M = FE.assembleMatrices(t1)
eig = FE.eigenvalues(L, M)
elist = eig[0]
efunc = eig[1]
for j in range(10):
print elist[j]
vertices = np.asarray(t1["vertices"])
faces = np.asarray(t1["triangles"])
x = vertices[:, 0]
y = vertices[:, 1]
z = efunc[:, 5]
plt.figure()
plt.tricontourf(x, y, z, 100, cmap="afmhot")
plt.show()
print "***************************\n\n\n\n\n"
def eigenvalueSurvey(n):
fn_list = []
ds = 0.0005
domain_list = []
for x in np.arange(0.45,0.55,ds):
max_height = min( 1.0 - x**2, 1.0 - (x-1.0)**2 )
for y in np.arange(np.sqrt(3.)/2. - 0.05, np.sqrt(3.)/2. + 0.05, ds):
domain_list.append( [x,y] )
for p in tqdm(domain_list):
x = p[0]
y = p[1]
area = y/2.0
# define triangle
T = triangleMesh(x,y,0.001)
# get eigenvalues
L,M = FE.assembleMatrices(T)
eigvals = FE.sparseEigs(L,M,n)[0]
for j in range(len(eigvals)):
eigvals[j] = eigvals[j]*area
current_tuple = [x,y]+list(eigvals)
fn_list.append(current_tuple)
f = open('eig.dat', 'w+')
f.truncate()
for j in range(len(fn_list)):
s = ''
for k in range(n+2):
s = s + str(fn_list[j][k]) + ' '
s = s + '\n'
f.write( s )
f.close()
def testFE():
ptlist = {"vertices": np.array(((0, 0), (1, 0), (1, 1), (0, 1)))}
triang = triangle.triangulate(ptlist)
print triang
print "\n\n"
print triang["vertices"]
print triang["triangles"]
triangle.plot.compare(plt, ptlist, triang)
plt.show()
print "\n\nNow testing the FE assembly ..."
L, M = FE.assembleMatrices(triang)
elist = FE.eigenvalues(L, M)[0]
elist.sort()
print "eigenvalues:"
for j in elist:
print j
triangle.plot.compare(plt, ptlist, triang)
plt.show()
triang = triangle.triangulate(triang, "rqa0.1")
L, M = FE.assembleMatrices(triang)
elist = FE.eigenvalues(L, M)[0]
elist.sort()
print "\n\neigenvalues:"
for j in elist:
print j
triangle.plot.compare(plt, ptlist, triang)
plt.show()
triang = triangle.triangulate(triang, "rqa0.01")
L, M = FE.assembleMatrices(triang)
elist = FE.eigenvalues(L, M)[0]
elist.sort()
print "\n\neigenvalues:"
for j in elist:
print j
triangle.plot.compare(plt, ptlist, triang)
plt.show()
def testSubdivide():
g = Mesh()
g.addVertex(0, 0)
g.addVertex(1, 0)
g.addVertex(0, 1)
g.addFace(0, 1, 2)
L, M = FE.assembleMatrices(g)
# print L
# print M
elist = FE.eigenvalues(L, M)
print "\n\n\n"
# print elist
g.plot()
g.subdivide(0)
L, M = FE.assembleMatrices(g)
# print '\n\n'
# print L
# print M
# print '\n\n'
elist = FE.eigenvalues(L, M)
# print '\n\n\n'
# print elist
# g.plot()
# g.subdivide(0)
# g.plot()
# g.subdivide(0)
# g.plot()
# for k in range(10):
# j = np.random.choice( range(len(g.face_list)) )
# g.subdivide(j)
g.subdivide_all()
g.plot()
g.subdivide_all()
g.subdivide_all()
g.plot()
L, M = FE.assembleMatrices(g)
elist = FE.eigenvalues(L, M)[0]
elist.sort()
print elist
import FE
import triangle
import numpy as np
import matplotlib.pyplot as plt
from pylab import *
tri = {'vertices':np.array([[0.,0.],[1.,0.],[0.7,0.05]]),'triangles':np.array([[0,1,2]])}
tri_mesh = triangle.triangulate(tri,'qa0.000005')
print str(len(tri_mesh['vertices'])) + ' nodes'
L,M = FE.assembleMatrices(tri_mesh)
eig = FE.eigenvalues(L,M)
elist = eig[0]
efunc = eig[1]
for j in range(10):
print elist[j]
fig = plt.figure()
vertices = np.asarray(tri_mesh['vertices'])
faces = np.asarray(tri_mesh['triangles'])
x = vertices[:,0]
y = vertices[:,1]
for j in range(5):
z = efunc[:,j]
plt.tricontourf(x,y,z,100,cmap='afmhot')
axes().set_aspect('equal')
plt.show()
def findTriangleEigs(x,y,h,n): mesh = assembleTriangle(x,y,h) evals,evecs = FE.findEigs(mesh,n=2*n) return evals[n], evecs[:,n], mesh
def findTriangleEig(x,y,h): mesh = assembleTriangle(x,y,h) evals,evecs = FE.findEigs(mesh,n=2) return evals[1], evecs[:,1], mesh
def __init__(self,root,canvas_width,canvas_height):
self.root=root
self.canvas_width = canvas_width
self.canvas_height = canvas_height
self.nodes = False
self.eiglevel = 1
self.current_refine = 1
# set up the domain
self.dom = {'vertices':np.array([[0.,0.],[1.,0.7],[0.5,0.5]])}
self.mesh = triangle.triangulate(self.dom,'qa0.001')
x = self.mesh['vertices'][:,0]
y = self.mesh['vertices'][:,1]
self.eigvals,self.eigvecs = FE.findEigs(self.mesh,10)
z = self.eigvecs[:,self.eiglevel]
# set up the matplotlib nonsense
self.fig, self.ax = mpl.pyplot.subplots()
self.ax.clear()
self.ax.autoscale(enable=False)
self.ax.axis('off')
triang = tri.Triangulation(x,y)
self.ax.tricontourf(triang,z,100,cmap=plt.get_cmap('copper'))
self.canvas = FigureCanvasTkAgg(self.fig,master=root)
self.canvas.show()
self.canvas.get_tk_widget().pack()
#self.canvas.mpl_connect("button_press_event", self.setVertex)
self.canvas.mpl_connect("key_press_event", self.keyEvent)
print 'connected key press'
self.ax.set_xlim([0,1])
self.ax.set_ylim([0,1])
self.ax.autoscale(enable=False)
self.fig.tight_layout()
self.redraw()
# build and pack other controls
self.control_frame = Frame(master=root,width=canvas_width/4,height=canvas_height)
self.control_frame.pack(side=TOP)
self.b = Button(self.control_frame, text="QUIT", command = self.quit)
self.b.pack(side=LEFT)
self.c = Button(self.control_frame, text="Toggle Nodal", command=self.toggle)
self.c.pack(side=LEFT)
self.s = Button(self.control_frame, text="Energy Up", command=self.energy_up)
self.s.pack(side=LEFT)
self.t = Button(self.control_frame, text="Energy Down", command=self.energy_down)
self.t.pack(side=LEFT)
import triangle.plot as plot
dom = {'vertices':np.array([[0.,0.],[1.,0.],[1.,.49],[.9,.49],[.9,.1],[.1,.1],[.1,.9],[.9,.9],[.9,.51],[1.,.51],[1.,1.],[0.,1.]]),'triangles':np.array([[0,1,5],[0,5,6],[1,4,5],[1,4,2],[2,3,4],[0,6,11],[6,10,11],[6,7,10],[7,8,9],[7,9,10]])}#,'segments':np.array([[0,1],[1,2],[2,3],[3,4],[4,5],[5,6],[6,7],[7,8],[8,9],[9,10],[10,11]])}
print len(dom['vertices'])
print dom['triangles']
mesh = triangle.triangulate(dom,'pqa0.05')
print mesh
ax1 = plt.subplot(111,aspect='equal')
plot.plot(ax1, **mesh)
plt.show()
L,M = FE.assembleMatrices(mesh)
evals,efunc = FE.sparseEigs(L,M)
fig = plt.figure()
vertices = np.asarray(mesh['vertices'])
faces = np.asarray(mesh['triangles'])
x = vertices[:,0]
y = vertices[:,1]
#for j in range(1,5):
# z = efunc[:,j]
# plt.tricontourf(x,y,z,0,cmap='afmhot')
# axes().set_aspect('equal')
# plt.show()
#z = efunc[:,11]
#plt.tricontourf(x,y,z,0,cmap='afmhot')
mesh1 = triangle.triangulate(domain1, "pqa0.02r")
mesh2 = triangle.triangulate(domain2, "pqa0.02r")
ax1 = plt.subplot(121, aspect="equal")
ax2 = plt.subplot(122, aspect="equal")
plot.plot(ax1, **mesh1)
plot.plot(ax2, **mesh2)
plt.show()
X1 = mesh1["vertices"][:, 0]
Y1 = mesh1["vertices"][:, 1]
X2 = mesh2["vertices"][:, 0]
Y2 = mesh2["vertices"][:, 1]
evals1, evecs1 = FE.findEigs(mesh1, 25)
evals2, evecs2 = FE.findEigs(mesh2, 25)
for j in range(25):
x1 = evals1[j]
x2 = evals2[j]
print x1, x2, np.abs(x2 - x1), np.abs(x2 - x1) / min(x2, x1)
k = 17
v1 = evecs1[:, k]
v2 = evecs2[:, k]
# ax1 = plt.subplot(121,aspect='equal')
# ax1.tricontourf(X1,Y1,v1,0,cmap='copper')
# ax2 = plt.subplot(122,aspect='equal')
# ax2.tricontourf(X2,Y2,v2,0,cmap='copper')
import FE
import triangle
import matplotlib.pyplot as plt
import matplotlib.tri as tri
from pylab import *
import triangle.plot as plot
dom = {'vertices':np.array([[0.,0.],[1.,0.],[0.7,0.1]]),'triangles':np.array([[0,1,2]]),'segments':np.array([[0,1],[1,2],[2,0]])}
mesh = triangle.triangulate(dom,'pcqa0.0005')
ax1 = plt.subplot(111,aspect='equal')
plot.plot(ax1, **mesh)
plt.show()
L,M = FE.assembleDirichlet(mesh)
evals,efunc = FE.sparseEigs(L,M)
fig = plt.figure()
vertices = np.asarray(mesh['vertices'])
faces = np.asarray(mesh['triangles'])
x = vertices[:,0]
y = vertices[:,1]
for j in range(5):
z = efunc[:,j]
plt.tricontourf(x,y,z,100,cmap='afmhot')
axes().set_aspect('equal')
plt.show()
date = Tick0.keys() #日期List
cnt = 0 #日期统计
day_cnt = [] #每个日期的数据
Tick0200 = pd.DataFrame() #特征数据
###############################################################################
# Step 1 ：特征构建
for i in date[-ndays - test_day - shift:-shift]:
'''取出每天的数据，并且提取特征'''
cnt += 1
print("Now At %s day !" % (cnt))
tempTick = Tick0[i]
tempTran = Tran0[i]
#1.1 特征工程 -- 进入FE.py
Feature_Generate = FE.FeatureEngeerning(tempTick, tempTran)
tempTick = Feature_Generate.add_features()
#1.2 预测的y值 -- dy/y dy y/y
def y(x):
global tempTick
tempTick['Past_diff' + str(x)] = tempTick[PredictLabel].diff(x)
y(2)
y(3)
y(4)
y(5)
# tempTick['Future_diff1'] = tempTick['AskP0'].diff(1).shift(-1).apply(Tools_kjy._compa0)
tempTick['median_5'] = (tempTick[PredictLabel].rolling(
window=5).median()).shift(-2)
tempTick['median_5'], _ = Tools_kjy.smooth(tempTick['median_5'])
[6.4,-11], [30,-11], [30,0]]), 'segments':np.array([[0,1],[1,2],[2,3],[3,4],[4,5],[5,6],[6,7],[7,0]])}#, #'segment_markers': np.array([[1],[1],[1],[1],[1],[1],[1],[1]]), #'vertex_markers':np.array([[1],[1],[1],[1],[1],[1],[1],[1]])} mesh = triangle.triangulate(point_list,'pqa0.02') ax1 = plt.subplot(111, aspect='equal') plot.plot(ax1, **mesh) plt.show() print len(mesh['vertices']) evals, evecs = FE.findEigs(mesh,50) X = mesh['vertices'][:,0] Y = mesh['vertices'][:,1] v = evecs[:,45] fig = plt.figure() ax = fig.add_subplot(111,aspect='equal') ax.tricontourf(X,Y,v,0,cmap='copper') #ax.triplot(tri.Triangulation(t['vertices'][:,0],d['vertices'][:,1])) #ax.tricontourf(X,Y,v,levels=[-1e9,0,1e9],cmap='gray') plt.show()