def getMohoEvePA(t):
moho = tk.Moho.eph(t)[0][:2]
eve = tk.Eve.eph(t)[0][:2]
moho = moho / norm(moho)
eve = eve / norm(eve)
return degrees(arccos(moho.dot(eve)))
def getMohoKerbinPA(t):
moho = tk.Moho.eph(t)[0][:2]
kerbin = tk.Kerbin.eph(t)[0][:2]
moho = moho / norm(moho)
kerbin = kerbin / norm(kerbin)
return degrees(arccos(moho.dot(kerbin)))
def view_filter(h, fp=None, fs=None):
'''view filter'''
w, H = signal.freqz(h, 1)
H_phase = pl.unwrap([pl.degrees(cmath.phase(H[i])) for i in range(len(H))],
180)
H = 20 * pl.log10(abs(H[:]))
x = range(0, len(h))
step = pl.cumsum(h)
pl.figure(figsize=(16, 6.6), dpi=80)
pl.subplot(221)
pl.stem(x, h)
pl.ylabel('Amplitude')
pl.xlabel(r'n (samples)')
pl.title(r'Impulse response')
pl.text(0.2, 0.7, 'N_taps = {0}'.format(len(h)))
pl.subplot(222)
pl.stem(x, step)
pl.ylabel('Amplitude')
pl.xlabel(r'n (samples)')
pl.title(r'Step response')
pl.subplot(223)
pl.plot(w / (2.0 * pl.pi), H)
pl.ylabel('Magnitude (db)')
pl.xlabel(r'Normalized Frequency (x$\pi$rad/sample)')
pl.title(r'Frequency response')
if fp != None:
pl.axvline(fp, linewidth=1, color='k', ls='-')
if fs != None:
pl.axvline(fs, linewidth=1, color='k', ls='-')
pl.subplot(224)
pl.plot(w / (2.0 * pl.pi), H_phase)
pl.ylabel('Phase (radians)')
pl.xlabel(r'Normalized Frequency (Hz)')
pl.title(r'Phase response')
def view_filter(h, fp=None, fs=None):
'''view filter'''
w, H = signal.freqz(h,1)
H_phase = pl.unwrap([pl.degrees(cmath.phase(H[i])) for i in range(len(H))], 180)
H = 20 * pl.log10 (abs(H[:]))
x = range(0,len(h))
step = pl.cumsum(h)
pl.figure(figsize=(16, 6.6), dpi=80)
pl.subplot(221)
pl.stem(x, h)
pl.ylabel('Amplitude')
pl.xlabel(r'n (samples)')
pl.title(r'Impulse response')
pl.text(0.2, 0.7, 'N_taps = {0}'.format(len(h)))
pl.subplot(222)
pl.stem(x, step)
pl.ylabel('Amplitude')
pl.xlabel(r'n (samples)')
pl.title(r'Step response')
pl.subplot(223)
pl.plot(w/(2.0*pl.pi), H)
pl.ylabel('Magnitude (db)')
pl.xlabel(r'Normalized Frequency (x$\pi$rad/sample)')
pl.title(r'Frequency response')
if fp != None:
pl.axvline(fp, linewidth=1, color='k', ls='-')
if fs != None:
pl.axvline(fs, linewidth=1, color='k', ls='-')
pl.subplot(224)
pl.plot(w/(2.0*pl.pi), H_phase)
pl.ylabel('Phase (radians)')
pl.xlabel(r'Normalized Frequency (Hz)')
pl.title(r'Phase response')
def __init__(self,celestialFrom,celestialTo,timeRange,multiplier=86400.0):
self.figure = figure(figsize=(8,8))
self.axis = self.figure.gca(projection="rectilinear")#,aspect='equal')
X = []
Y = []
for t in timeRange:
t *= multiplier
ephFrom = celestialFrom.eph(t)
ephTo= celestialTo.eph(t)
pFrom = ephFrom[0] / norm(ephFrom[0])
pTo = ephTo[0] / norm(ephTo[0])
print pFrom
print pTo
print "ye",t
angle = degrees(arccos(pFrom.dot(pTo)))
X.append(t/multiplier)
Y.append(angle)
self.axis.plot(X,Y)
def generate_datafile(name,departures,depart_planet,arrive_planet,errors=0):
f = open(name,'w')
last = departures[-1]
lasty = int(last[0] / 60.0 / 60.0 / 24.0 / 365.0)
inacc = 0.0
for departure in departures:
if departure[1]:
inacc += 1.0
f.write("// Phase angles for the next %i years for %s - %s Hohmann transfers\n"%(lasty,depart_planet.name,arrive_planet.name))
f.write("// Calculated using the KSP Mission Control toolkit\n")
f.write("// Angles are valid for Kerbal Space Program 0.19\n")
f.write("// Total windows: %i\n"%len(departures))
f.write("// Inaccuracies during calculation: %i (%i%%)\n\n"%(inacc,inacc / len(departures) * 100))
f.write("UT Departure\tPhase angle\tDate time\tAccurate (Error in seconds)\n")
for departure in departures:
accurate = departure[1]
if accurate == 0:
accurate = "Yes"
else:
accurate = str(accurate)
departure = departure[0]
e1 = depart_planet.eph(departure)[0]
e2 = arrive_planet.eph(departure)[0]
e1 /= norm(e1)
e2 /= norm(e2)
PA = degrees(arccos(e1.dot(e2))) * sign(cross(e1,e2)[2])
years = floor(departure/60.0/60.0/24.0/365.0)+1
days = floor((departure/60.0/60.0/24.0)%365.0)+1
f.write("%f\t%f\tYear %i, Day %i\t%s\n"%(departure,PA,years,days,accurate))
f.close()
crystal=reflectivity.Sample(Sub, layer1)
crystal.set_Miller(R)
crystal.calc_g0_gH(Energy)
thBragg= float(layer1.calc_Bragg_angle(Energy).subs(layer1.structure.subs).evalf())
angle=pl.linspace(0.988, 1.012,501)*thBragg
crystal.calc_reflectivity(angle, Energy)
layer1.calc_amplitudes(angle, Energy)
Sub.calc_amplitudes(angle, Energy)
XRl = layer1.XR
XRs = Sub.XR
XT = layer1.XT
crystal.print_values(angle, Energy)
pl.plot(data[:,0], data[:,1], label='GID_sl', color='red')
# pl.plot(angle-thBragg,abs(XT)**2-1)
pl.plot(pl.degrees(angle-thBragg),abs(XRl)**2, label='dynXRD', color='black')
# pl.plot(angle-thBragg,1 - abs(XT)**2 - abs(XRl)**2)
pl.xlabel('Angle (degrees)')
pl.ylabel('Reflectivity')
pl.xlim(-0.1,0.1)
pl.yscale('log')
pl.rc('font', size=18)
pl.legend(loc="upper left", prop={'size':19})
pl.savefig('pics/test7.eps')
pl.show()
thBragg = float(
layer1.calc_Bragg_angle(Energy).subs(layer1.structure.subs).evalf())
angle = pl.linspace(0.9955, 1.0045, 501) * thBragg
crystal.calc_reflectivity(angle, Energy)
layer1.calc_amplitudes(angle, Energy)
Sub.calc_amplitudes(angle, Energy)
XRl = layer1.XR
XRs = Sub.XR
XT = layer1.XT
crystal.print_values(angle, Energy)
pl.plot(data[:, 0], data[:, 1], label='GID_sl', color='red')
# pl.plot(angle-thBragg,abs(XT)**2-1)
pl.plot(pl.degrees(angle - thBragg),
abs(XRl)**2,
label='dynXRD',
color='black')
# pl.plot(angle-thBragg,1 - abs(XT)**2 - abs(XRl)**2)
pl.xlabel('Angle (degrees)')
pl.ylabel('Reflectivity')
pl.xlim(-0.1, 0.1)
pl.yscale('log')
pl.rc('font', size=18)
pl.legend(loc="upper left", prop={'size': 19})
pl.savefig('pics/test9.eps')
pl.show()
Sub.calc_orientation(v_par, v_perp)
layer1 = reflectivity.Epitaxial_Layer(struct, thickness)
layer1.calc_orientation(v_par, v_perp)
crystal = reflectivity.Sample(Sub, layer1)
crystal.set_Miller(R)
crystal.calc_g0_gH(Energy)
thBragg = float(
layer1.calc_Bragg_angle(Energy).subs(layer1.structure.subs).evalf())
angle = pl.linspace(0.99, 1.01, 501) * thBragg
crystal.calc_reflectivity(angle, Energy)
layer1.calc_amplitudes(angle, Energy)
Sub.calc_amplitudes(angle, Energy)
XRl = layer1.XR
XRs = Sub.XR
XT = layer1.XT
crystal.print_values(angle, Energy)
pl.plot(data[:, 0], data[:, 1])
# pl.plot(angle-thBragg,abs(XT)**2)
pl.plot(pl.degrees(angle - thBragg), abs(XRl)**2)
# pl.plot(angle-thBragg,1 - abs(XT)**2 - abs(XRl)**2)
pl.xlabel('Angle (degrees)')
pl.ylabel('Reflectivity')
pl.xlim(-0.2, 0.2)
pl.ylim(1e-9, 1e-2)
pl.yscale('log')
pl.show()
def eph2D(self,epoch):
if self.ref == None:
return ([0,0,0],[0,0,0])
dt = epoch-self.epoch
#print "dT",dt
# Step 1 - Determine mean anomaly at epoch
if self.e == 0:
M = self.M0 + dt * sqrt(self.ref.mu / self.a**3)
M %= PI2
E = M
ta = E
r3 = (self.h**2/self.ref.mu)
rv = r3 * array([cos(ta),sin(ta),0])
v3 = self.ref.mu / self.h
vv = v3 * array([-sin(ta),self.e+cos(ta),0])
return (rv,vv)
if self.e < 1:
if epoch == self.epoch:
M = self.M0
else:
M = self.M0 + dt * sqrt(self.ref.mu / self.a**3)
M %= PI2
# Step 2a - Eccentric anomaly
try:
E = so.newton(lambda x: x-self.e * sin(x) - M,M)
except RuntimeError: # Debugging a bug here, disregard
print "Eccentric anomaly failed for",self.obj.name
print "On epoch",epoch
print "Made error available at self.ERROR"
self.ERROR = [lambda x: x-self.e * sin(x) - M,M]
raise
# Step 3a - True anomaly, method 1
ta = 2 * arctan2(sqrt(1+self.e)*sin(E/2.0), sqrt(1-self.e)*cos(E/2.0))
#print "Ta:",ta
# Method b is faster
cosE = cos(E)
ta2 = arccos((cosE - self.e) / (1-self.e*cosE))
#print "e",self.e
#print "M",M
#print "E",E
#print "TA:",ta
#print "T2:",ta2
# Step 4a - distance to central body (eccentric anomaly).
r = self.a*(1-self.e * cos(E))
# Alternative (true anomaly)
r2 = (self.a*(1-self.e**2) / (1.0 + self.e * cos(ta)))
# Things get crazy
#h = sqrt(self.a*self.ref.mu*(1-self.e**2))
r3 = (self.h**2/self.ref.mu)*(1.0/(1.0+self.e*cos(ta)))
#print "R1:",r
#print "R2:",r2
#print "R3:",r3
rv = r3 * array([cos(ta),sin(ta),0])
#v1 = sqrt(self.ref.mu * (2.0/r - 1.0/self.a))
#v2 = sqrt(self.ref.mu * self.a) / r
v3 = self.ref.mu / self.h
#meanmotion = sqrt(self.ref.mu / self.a**3)
#v2 = sqrt(self.ref.mu * self.a)/r
#print "v1",v1
#print "v2",v2
#print "v3",v3
#print "mm",meanmotion
# Velocity can be calculated from the eccentric anomaly
#vv = v1 * array([-sin(E),sqrt(1-self.e**2) * cos(E),0])
# Or from the true anomaly (this one has an error..)
#vv = sqrt(self.ref.mu * self.a)/r * array([-sin(ta),self.e+cos(ta),0])
vv = v3 * array([-sin(ta),self.e+cos(ta),0])
#print "rv",rv
#print "vv",vv
#print "check",E,-sin(E),v1*-sin(E)
#print "V1:",vv
#print "V2:",vv2
return (rv,vv)
elif self.e > 1:
# Hyperbolic orbits
# Reference: Stephen Kemble: Interplanetary Mission Analysis and Design, Pg 220-221
M = self.M0 + dt * sqrt(-(self.ref.mu / self.a**3))
#print "M0",self.M0
#print "M",M
#print "M",M
#print "M0",self.M0
# Step 2b - Hyperbolic eccentric anomaly
#print "Hyperbolic mean anomaly:",M
F = so.newton(lambda x: self.e * sinh(x) - x - M,M,maxiter=1000)
#F = -F
H = M / (self.e-1)
#print "AAAA"*10
#print "F:",F
#print "H:",H
#F=H
#print "Hyperbolic eccentric anomaly:",F
# Step 3b - Hyperbolic true anomaly?
# This is wrong prooobably
#hta = arccos((cosh(F) - self.e) / (1-self.e*cosh(F)))
#hta = arccos((self.e-cosh(F)) / (self.e*cosh(F) - 1))
# TÄSSÄ ON BUGI
hta = arccos((cosh(F) - self.e) / (1 - self.e*cosh(F)))
hta2 = 2 * arctan2(sqrt(self.e+1)*sinh(F/2.0),sqrt(self.e-1)*cosh(F/2.0))
hta3 = 2 * arctan2(sqrt(1+self.e)*sinh(F/2.0),sqrt(self.e-1)*cosh(F/2.0))
hta4 = 2 * arctan2(sqrt(self.e-1)*cosh(F/2.0),sqrt(1+self.e)*sinh(F/2.0))
#print "Hyperbolic true anomaly:",degrees(hta)
# This is wrong too
#hta2 = 2 * arctan2(sqrt(1+self.e)*sin(F/2.0), sqrt(1-self.e)*cos(F/2.0))
if M == self.M0:
print "HTA1:",degrees(hta)
print "HTA2:",degrees(hta2)
print "HTA3:",degrees(hta3)
print "HTA4:",degrees(hta4)
# According to http://mmae.iit.edu/~mpeet/Classes/MMAE441/Spacecraft/441Lecture17.pdf
# this is right..
hta = hta2
#print cos(hta)
#print cosh(hta)
#####hta = arctan(sqrt((self.e-1.0)/self.e+1.0) * tanh(F/2.0)) / 2.0
#print "Mean anomaly:",M
#print "Hyperbolic eccentric anomaly:",F
#print "HTA:",hta
#raise
# Step 4b - Distance from central body?
# Can calculate it from hyperbolic true anomaly..
#p = self.a*(1-self.e**2)
#r = p / (1+self.e * cos(hta))
r3 = (self.h**2/self.ref.mu)*(1.0/(1.0+self.e*cos(hta)))
v3 = self.ref.mu / self.h
# But it's faster to calculate from eccentric anomaly
#r = self.a*(1-self.e * cos(F))
#print "Hyper r1:",r
#print "Hyper r2:",r2
rv = r3 * array([cos(hta),sin(hta),0])
#http://en.wikipedia.org/wiki/Hyperbola
#rv = array([ r * sin(hta),-self.a*self.e + r * cos(hta), 0])
#sinhta = sin(hta)
#coshta = cos(hta)
#print self.ref.mu,r,self.a,hta
#vv = sqrt(self.ref.mu *(2.0/r - 1.0/self.a)) * array([-sin(hta),self.e+cos(hta),0])
vv = v3 * array([-sin(hta),self.e+cos(hta),0])
return (rv,vv)
def initFromStateVectors(self,epoch,pV,vV):
self.epoch = epoch
# 1) Calculate auxilary vector h
hV = cross(pV,vV)
# 2) Normalize position,velocity, specific angular momentum, calculate radial velocity
p = linalg.norm(pV)
v = linalg.norm(vV)
h = linalg.norm(hV)
print "H:",h
radv = pV.dot(vV) / p
hVu = hV / h
pVu = pV / p
nV = cross(array([0,0,1]),hV)
n = linalg.norm(nV)
if n == 0:
nVu = array([0,0,0])
else:
nVu = nV/n
# 3) Calculate inclination
#self.i = arccos(hV[2]/h)
self.i = arcsin(linalg.norm(cross(array([0,0,1]),hVu)))
print "i1",self.i
print "RADVEL",radv
self.i = arccos(array([0,0,1]).dot(hV)/h)
#if radv < 0:
# self.i = PI2 - self.i
print "i2",self.i
# 4) Calculate node line
# 5) Calculate longitude of ascending node = right ascension of ascending node
'''
if self.i == 0:
self.lan=0
elif nV[1] >= 0:
self.lan = arccos(nV[0] / n)
else:
self.lan = PI2 - arccos(nV[0] / n)
'''
if self.i == 0:
self.lan = 0
else:
self.lan = arcsin(cross(array([1,0,0]),nVu).dot(array([0,0,1])))
print "lan1",self.lan
self.lan = arccos(array([1,0,0]).dot(nV)/n)
if nV[1] < 0:
self.lan = PI2-self.lan
print "lan2",self.lan
# 6) Eccentricity vector
#eV = (1.0 / self.ref.mu)*((v**2 - (self.ref.mu / p))*pV - radv*vV)
#eV2 = (1.0 / self.ref.mu) * ( hV - self.ref.mu * (pV/p))
#eV3 = hV/self.ref.mu - (pV/p)
# Source: cdeagle
eV = cross(vV,hV)/self.ref.mu - pVu
#print "eV1:",eV,linalg.norm(eV)
#print "eV2:",eV2,linalg.norm(eV2)
#print "eV3:",eV3,linalg.norm(eV3)
print "eV3:",eV,linalg.norm(eV)
self._e = linalg.norm(eV)
#eVu = eV / self.e
print "h",h
print "u",self.ref.mu
print "v",v
print "r",p
print "alte:",sqrt(1+(h**2/self.ref.mu**2)*(v**2-(2*self.ref.mu)/p)**2)
# 7) Argument of perigree
'''
if self.e == 0:
self.aop = 0
elif self.i == 0:
self.aop = arccos(eV[0] / self.e)
elif eV[2] >= 0:
print "AOP AOP AOP"
#self.aop = arccos(nV.dot(eV) / (n*self.e))
print cross(nV,eV).dot(hV)
self.aop = arcsin(cross(nVu,eVu).dot(hVu))
#self.aop = arccos(n*self.e)
else:
self.aop = PI2 - arccos(nV.dot(eV) / (n*self.e))
'''
#CDEagle method
# TODO CHECK how KSP handles this.
if self.e == 0:
self.aop = 0
elif self.i == 0 and self.e != 0:
#self.aop = arccos(eV[0] / self.e)
#self.aop = arctan2(eV[1],eV[0])
self.aop = arccos(array([1,0,0]).dot(eV) / self.e)
print eV
if eV[2] < 0:
#self.aop = -self.aop
self.aop = PI2-self.aop
#print "BOOM",eV
#if eV[2] < 0:
# print "BAM N***A"
# self.aop = PI2 - self.aop
elif self.i == 0 and self.e == 0:
#raise AttributeError("Perfectly circular orbits are not supported atm")
self.aop = 0
else:
#self.aop = arcsin(cross(nVu,eVu).dot(hVu))
self.aop = arccos(nV.dot(eV)/(n*self.e))
if eV[2] < 0:
self.aop = PI2-self.aop
# 8) Semi major axis
aE = v**2/2.0 - self.ref.mu / p
self._a = -self.ref.mu / (2*aE)
print "Old method for semi-major",self.a
self._a = h**2 / (self.ref.mu * (1-self.e**2))
print "New method for semi-major",self.a
#if self.e > 1:
# self._a = h**2 / (self.ref.mu * (self.e**2 - 1))
if self.e == 0:
if self.i == 0: #TODO update document to this
print "JEA JEA JEA JEA"*10
ta = arccos(array([1,0,0]).dot(pV) / p)
if pV[1] < 0: # Vallado pg. 111
ta = PI2 - ta
else: #TODO VERIFY THIS CASE
ta = arccos((nV.dot(pV))/(n*p))
if pV[2] < 0: # Vallado pg. 110
ta = PI2 - ta
E = ta
self.M0 = E
elif self.e < 1:
# 9) True anomaly, eccentric anomaly and mean anomaly
if radv >= 0:
ta = arccos((eV / self.e).dot(pV/p))
else:
ta = PI2 - arccos((eV / self.e).dot(pV/p))
E = arccos((self.e+cos(ta))/(1+ self.e*cos(ta)))
if radv < 0:
E = PI2 - E
self.M0 = E - self.e * sin(E)
elif self.e > 1:
# 9) Hyperbolic True anomaly, eccentric anomaly and mean anomaly
# http://scienceworld.wolfram.com/physics/HyperbolicOrbit.html
V = arccos((abs(self.a)*(self.e**2 - 1)) /(self.e * p) - 1/self.e)
ta = arccos((eV / self.e).dot(pV/p))
if radv < 0: #TODO: Should affect F too?
# Negative = heading towards periapsis
print "PI2"
V = PI2 - V
ta = PI2-ta
print "V",V
print "TA",ta
# http://www.bogan.ca/orbits/kepler/orbteqtn.html In you I trust
# Hyperbolic eccentric anomaly
cosV = cos(V)
F = arccosh((self.e+cosV)/(1+self.e*cosV))
if radv < 0:
F = -F
F2 = arcsinh((sqrt(self.e-1)*sin(V))/(1+self.e*cos(V)))
##F1 = F2
print "F1:",F
print "F2:",F2
self.M0 = self.e * sinh(F) - F
self.h = h
print "Semi-major:",self.a
print "Eccentricity:",self.e
print "Inclination:",degrees(self.i),"deg"
print "LAN:",degrees(self.lan),"deg"
print "AoP:",degrees(self.aop),"deg"
print "Mean anomaly:",self.M0
print "Specific angular momentum:",self.h
if self.e < 1:
print "Eccentric anomaly",E
print "True anomaly",ta
else:
print "Hyperbolic eccentric anomaly",F
print "Hyperbolic true anomaly",degrees(V)
print "Distance from object:",p
print "Velocity:",v
layer1.calc_orientation_from_angle(psi, v_perp)
crystal=reflectivity.Sample(Sub, layer1)
#crystal.calc_layer_Miller()
crystal.set_Miller(R)
crystal.calc_g0_gH(Energy)
thBragg= float(Sub.calc_Bragg_angle(Energy).subs(Sub.structure.subs).evalf())
angle=pl.linspace(0.987, 1.013,501)*thBragg
#XRl = layer1.calc_reflection_amplitude(angle, Energy)
#XRs = Sub.calc_reflection_amplitude(angle, Energy)
# XT = layer1.calc_transmission_amplitude(angle, Energy)
XR=crystal.calc_reflectivity(angle, Energy)
crystal.print_values(angle, Energy)
pl.plot(data[:,0], data[:,1] , label='GID_sl', color='red')
# pl.plot(angle-thBragg,abs(XT)**2)
# pl.plot(angle-thBragg,abs(XRl)**2)
# pl.plot(angle-thBragg,1 - abs(XT)**2 - abs(XRl)**2)
pl.plot(pl.degrees(angle-thBragg),abs(XR)**2, label='dynXRD', color='black')
#pl.plot(angle-thBragg,abs(XRs)**2)
#pl.plot(angle-thBragg,abs(XRl)**2)
pl.yscale('log')
pl.xlabel('Angle (degrees)')
pl.ylabel('Reflectivity')
pl.xlim(-0.2,0.2)
pl.rc('font', size=18)
pl.legend(loc="upper left", prop={'size':19})
pl.locator_params(axis = 'x', nbins=4)
pl.savefig('pics/test14.eps')
pl.show()
crystal.calc_reflectivity(angle, Energy)
layer1.calc_amplitudes(angle, Energy)
layer2.calc_amplitudes(angle, Energy)
layer3.calc_amplitudes(angle, Energy)
Sub.calc_amplitudes(angle, Energy)
XR1 = layer1.XR
XR2 = layer2.XR
XR3 = layer3.XR
XRs = Sub.XR
#XT = layer1.XT
crystal.print_values(angle, Energy)
#pl.plot(data[:,0], data[:,1], label='GID_sl', color='red')
# pl.plot(angle-thBragg,abs(XT)**2-1)
pl.plot(pl.degrees(angle-thBragg),abs(XRs)**2, label='$\infty$', color='black')
pl.plot(pl.degrees(angle-thBragg),abs(XR1)**2, label='$500$ nm', color='red')
pl.plot(pl.degrees(angle-thBragg),abs(XR2)**2, label='$1000$ nm', color='blue')
pl.plot(pl.degrees(angle-thBragg),abs(XR3)**2, label='$2000$ nm', color='green')
# pl.plot(angle-thBragg,1 - abs(XT)**2 - abs(XRl)**2)
pl.xlabel('Angle (degrees)')
pl.ylabel('Reflectivity')
pl.xlim(-0.005,0.008)
#pl.yscale('log')
pl.legend(loc="upper left", title="Thickness", prop={'size':11})
pl.savefig('pics/dynamical.eps')
pl.show()
layer1.calc_orientation(v_par, v_perp)
crystal = reflectivity.Sample(Sub, layer1)
crystal.set_Miller(R)
crystal.calc_g0_gH(Energy)
thBragg = float(layer1.calc_Bragg_angle(Energy).subs(layer1.structure.subs).evalf())
angle = pl.linspace(0.99, 1.01, 501) * thBragg
crystal.calc_reflectivity(angle, Energy)
layer1.calc_amplitudes(angle, Energy)
Sub.calc_amplitudes(angle, Energy)
XRl = layer1.XR
XRs = Sub.XR
XT = layer1.XT
crystal.print_values(angle, Energy)
pl.plot(data[:, 0], data[:, 1])
# pl.plot(angle-thBragg,abs(XT)**2)
pl.plot(pl.degrees(angle - thBragg), abs(XRl) ** 2)
# pl.plot(angle-thBragg,1 - abs(XT)**2 - abs(XRl)**2)
pl.xlabel("Angle (degrees)")
pl.ylabel("Reflectivity")
pl.xlim(-0.2, 0.2)
pl.ylim(1e-9, 1e-2)
pl.yscale("log")
pl.show()
#show()
vx = array([1.0,0.0,0.0]).reshape(-1,1)
vy = array([0.0,1.0,0.0]).reshape(-1,1)
vz = array([0.0,0.0,1.0]).reshape(-1,1)
error_angles_x = empty((l,))
error_angles_y = empty((l,))
error_angles_z = empty((l,))
for i in range(l):
q1 = imu_quaternions[i]
q2 = original_quaternions[i]
v1x = transpose(q1.rotateVector(vx))
v2x = transpose(q2.rotateVector(vx))
ax = degrees(angle(v1x[0],v2x[0]))
v1y = transpose(q1.rotateVector(vy))
v2y = transpose(q2.rotateVector(vy))
ay = degrees(angle(v1y[0],v2y[0]))
v1z = transpose(q1.rotateVector(vz))
v2z = transpose(q2.rotateVector(vz))
az = degrees(angle(v1z[0],v2z[0]))
error_angles_x[i] = ax
error_angles_y[i] = ay
error_angles_z[i] = az
figure()
plot(error_angles_x,label='x')
plot(error_angles_y,label='y')
plot(error_angles_z,label='z')