def test_integral_of_constant_function():
print("yay")
f1 = vectorize(f)
computed_ans = integrate(f1, 0, 1, 10) #N = 10
assert abs(2.0 - computed_ans) < 1E-10
computed_ans = integrate(f1, 0, 1, 10000) #N = 10000
assert abs(2.0 - computed_ans) < 1E-10
def test_integral_of_constant_function():
# test integrate
assert abs(integrate(f1,0,1,1)-2)<= 1E-15
#print ("lol",abs(integrate(f1,0,1,10000)-float(2)))
assert abs(integrate(f1,0,1,10)-2)<= 1E-12
assert abs(integrate(f1,0,1,100)-2)<= 1E-12
assert abs(integrate(f1,0,1,1000)-2)<= 1E-12
assert abs(integrate(f1,0,1,10000)-2)<= 1E-12
# test numpy integrate
assert abs(numpy_integrate(f1,0,1,1)-2)<= 1E-15
#print ("lol",numpy_integrate(f1,0,1,10),abs(numpy_integrate(f1,0,1,10)-float(2)))
assert abs(numpy_integrate(f1,0,1,10)-2)<= 1E-12
assert abs(numpy_integrate(f1,0,1,100)-2)<= 1E-12
assert abs(numpy_integrate(f1,0,1,1000)-2)<= 1E-12
assert abs(numpy_integrate(f1,0,1,10000)-2)<= 1E-12
# test Cython
assert abs(cython_integrate(f1,0,1,1)-2)<= 1E-15
#print ("lol",numpy_integrate(f1,0,1,10),abs(numpy_integrate(f1,0,1,10)-float(2)))
assert abs(cython_integrate(f1,0,1,10)-2)<= 1E-12
assert abs(cython_integrate(f1,0,1,100)-2)<= 1E-12
assert abs(cython_integrate(f1,0,1,1000)-2)<= 1E-12
assert abs(cython_integrate(f1,0,1,10000)-2)<= 1E-12
def test_integral_of_linear_function():
# test integrate
N1=10
#print ("here",abs(1-integrate(f2,0,1,N1)-(float(1)/float(N1))))
assert abs(1-integrate(f2,0,1,N1)-(float(1)/float(N1))) <= 1E-15
N2=100
assert abs(1-integrate(f2,0,1,N2)-(float(1)/float(N2))) <= 1E-15
N3=1000
assert abs(1-integrate(f2,0,1,N3)-(float(1)/float(N3))) <= 1E-15
N4=10000
assert abs(1-integrate(f2,0,1,N4)-(float(1)/float(N4))) <= 1E-15
# test numpy integrate
N1=10
assert abs(1-numpy_integrate(f2,0,1,N1)-(float(1)/float(N1))) <= 1E-15
N2=100
assert abs(1-numpy_integrate(f2,0,1,N2)-(float(1)/float(N2))) <= 1E-15
N3=1000
assert abs(1-numpy_integrate(f2,0,1,N3)-(float(1)/float(N3))) <= 1E-15
N4=10000
assert abs(1-numpy_integrate(f2,0,1,N4)-(float(1)/float(N4))) <= 1E-15
# test Cython
N1=10
assert abs(1-cython_integrate(f2,0,1,N1)-(float(1)/float(N1))) <= 1E-15
N2=100
assert abs(1-cython_integrate(f2,0,1,N2)-(float(1)/float(N2))) <= 1E-15
N3=1000
assert abs(1-cython_integrate(f2,0,1,N3)-(float(1)/float(N3))) <= 1E-15
N4=10000
assert abs(1-cython_integrate(f2,0,1,N4)-(float(1)/float(N4))) <= 1E-15
def smafeat(datXa,datYa,datZa):
dataXsq1 = sqrt(numpy.array(datXa) ** 2)
dataYsq1 = sqrt(numpy.array(datYa) ** 2)
dataZsq1 = sqrt(numpy.array(datZa) ** 2)
dataXc1 = integrator.integrate(dataXsq1)
dataYc1 = integrator.integrate(dataYsq1)
dataZc1 = integrator.integrate(dataZsq1)
sma = (dataXc1 + dataYc1 + dataZc1) / float(len(dataXsq1))
return sma
def attractorPlot(f0, f1, w0, w1, period, name='', show=True, save=False):
consts = {}
consts["F0"] = f0
consts["F1"] = f1
consts["w0"] = w0
consts["w1"] = w1
consts["c"] = 1.0
consts["k"] = -1.0
consts["beta"] = 1.0
consts["phi"] = 0.0
x0 = 1.0
v0 = 0.0
plt.figure()
plt.title("Poincare Plot - 2 Forcing Terms")
plt.xlabel("x")
plt.ylabel("v")
x, v, t, f = integrator.integrate(consts, x0, v0, 10000, 5E-5, True,
2000000)
N = len(x) // 2
plt.plot(x[N:], v[N:], '-r')
strb_x = integrator.strobe_points(x[N:], t[N:], period)
strb_v = integrator.strobe_points(v[N:], t[N:], period)
lab = "$\omega_0={},F_0={},\omega_1={},F_1={}$".format(w0, f0, w1, f1)
l = plt.plot(strb_x, strb_v, '.', label=lab)
plt.setp(l, 'markersize', 2)
plt.legend(loc="best")
plt.xlabel("$x$")
plt.ylabel("$\dot{x}$")
#plt.savefig("Poincare4.pdf")
plt.show()
def test_integral_of_constant_function():
f = lambda x: 2
computed_for = integrate(f, 0, 1, 100)
computed_numpy = numpy_integrator(f, 0, 1, 100)
expected = 2
success = computed_for == expected and (computed_numpy - expected) < 1e-16
assert success
def integrator_test(self):
"""integrator_test: this test checks the result of integreation function"""
sourcelist = [
0.9676834571, 0.9517338109, 0.9469666224, 0.9455741929,
0.937271954, 0.9756308369, 0.963667954, 0.9783003172, 0.9791772432,
0.9630688213, 0.9636879293, 0.9581131469, 0.9749188851, 0.96132287,
0.9594692316, 0.9517417142, 0.9580682981, 0.9694806605,
0.9705071034, 0.9741733322, 0.9656285119, 0.9797829703,
0.9476657225, 0.9505700439, 0.9769535092, 0.9628920433,
0.9886532632, 0.9749905082, 0.9622008273, 0.9588126694,
0.9585201885, 0.9656285119, 0.9635884074, 0.9637201077,
0.9486464305, 0.9448569633, 0.9548531757, 0.9413523349,
0.9437067169, 0.9295829852, 0.9443785543, 0.9266972306,
0.9272177018, 0.9396456813, 0.948808991, 0.9573977701, 0.970075925,
0.9793470801, 0.9840866322, 0.9765331821, 0.9656885071,
0.9629277499, 0.9614462269, 0.9738112064, 0.949794186,
0.9964832677, 0.9958061173, 0.9737453088, 0.9641612591,
0.9680686611, 0.9796823214, 0.9715538306, 0.9917106859,
0.961369319, 0.960533384, 0.9630009426, 0.9597456627, 0.9426550241,
0.9571523382, 0.9441424433, 0.9533811307, 0.9547935049,
0.9595538268, 0.9522523389, 0.9563979183, 0.9743059924,
0.963151262, 0.9664897915, 0.9625850612, 0.9878803841, 0.973709362,
0.9593169424, 0.9501199574, 0.9492373943, 0.9438450032,
0.9455317748, 0.967039832, 0.9616603865, 0.9824073673,
0.9699467778, 0.9750983573, 0.9927066538, 0.9729307196,
0.9851261483, 0.9534832401, 0.9562380523, 0.9606531787,
0.967532279, 0.9584946534, 0.9740792079
]
target = 0.962607799619
result = integrator.integrate(sourcelist)
self.assertAlmostEqual(result, target)
def test_integral_of_linear_function():
f = lambda x: 2 * x
computed_for = integrate(f, 0, 1, 1e7)
computed_numpy = numpy_integrator(f, 0, 1, 1e7)
expected = 1.
success = abs(computed_for - expected) < 1e-4 and abs(computed_numpy -
expected) < 1e-4
assert success
def step_checker(integrate):
def f(x):
return np.sin(x)
a = 0
b = np.pi
eps = 10**(-10)
exact_solution = 2.0
N = 0
while True:
N += 100
error = abs(integrate(f, a, b, N) - exact_solution)
if error < eps:
break
print N
print integrate(f, a, b, N)
def function_1():
f = lambda x: (1 / math.pi) * (math.sin(x) / x) * (math.sin(x / 3) / (
x / 3)) * (math.sin(x / 5) / (x / 5))
sum_of_integral = integrator.integrate(f,
a,
b,
n,
method="midpoint",
implementation="numba")
print('Function 1 - sum = {} N = {}'.format(sum_of_integral, n))
def cython_midpoint():
difference = 1
n = 90600
f = lambda x: math.sin(x)
while (difference > 1E-10):
n += 1
sum_of_integral = integrator.integrate(f, 0, math.pi, n, method="midpoint", implementation="numpy")
difference = abs(2 - sum_of_integral)
print(n)
print('Cython - sum = {} difference = {} N = {}'.format(sum_of_integral, difference, n))
def test_integral_of_constant_function():
f = lambda x: 2
a = 0
b = 1
N1 = 10
N2 = 1000
tol = 1e-10
integral1 = integrate(f, a, b, N1)
integral2 = integrate(f, a, b, N2)
integral1_numpy = integrate_numpy(f, a, b, N1)
integral2_numpy = integrate_numpy(f, a, b, N2)
assert abs(integral1 - 2) < tol
assert abs(integral2 - 2) < tol
assert abs(integral1_numpy - 2) < tol
assert abs(integral2_numpy - 2) < tol
def test_integral_of_linear_function():
f = lambda x: 2 * x
a = 0
b = 1
N1 = 10
N2 = 1000
tol = 1e-10
integral1 = integrate(f, a, b, N1)
integral2 = integrate(f, a, b, N2)
integral1_numpy = integrate_numpy(f, a, b, N1)
integral2_numpy = integrate_numpy(f, a, b, N2)
assert abs(integral1 - 1) < 1.0 / N1 + tol
assert abs(integral2 - 1) < 1.0 / N2 + tol
assert abs(integral1_numpy - 1) < 1.0 / N1 + tol
assert abs(integral2_numpy - 1) < 1.0 / N2 + tol
def test_integral_of_linear_function():
expected_answer = 1
f = lambda x: 2 * x
a = 0
b = 1
N = 1000000
computed_answer = integrate(f, a, b, N) #numpy_integrate(f, a, b, N)
#assert abs(computed_answer - expected_answer) < 1E-20, "Computational error to large!"
if abs(computed_answer - expected_answer) < (1. / N):
print("Computation ok")
else:
print("Computational error to large, error = %f" % (1. / N))
def run_test_problem(test_func, description, integration_params):
x_exact, f_test, dfdt_test, fx_test = test_func
method, test_name = description
hs, x0, t0, tf = integration_params
plt.figure()
plt.title("{} on {}".format(*description))
for h in hs:
derivatives = f_test, dfdt_test, fx_test
params = x0, t0, tf, h
t, x = integrator.integrate(method, derivatives, params)
xe = x_exact(t)
plt.plot(x.real, x.imag, label='h = {}'.format(h))
plt.plot(xe.real, xe.imag, label='exact')
plt.legend()
def test_integral_of_constant_function():
#abs(computed_answer - expected_answer) < 1E-20
expected_answer = 2
f = lambda x: 2
a = 0
b = 1
N = 1000000
computed_answer = integrate(f, a, b, N) #numpy_integrate(f, a, b, N)
print(computed_answer)
#assert abs(computed_answer - expected_answer) < 1E-20, "Computational error to large!"
if abs(computed_answer - expected_answer) < 1E-5:
print("Computation ok")
else:
print("Computational error to large!")
def score_track_novis(track, fps=30, ppm=1000):
#First, euclidify and integrate.
euclidified = integrator.euclidify(track)
integrated = integrator.integrate(euclidified)
vid_frames = euclidified.size
vid_framerate = fps
#Calculate various discounts for the things that change between videos and setups
time_discount = scorer.factor_time(vid_frames, vid_framerate)
size_discount = scorer.factor_size(ppm)
#Factor in all of the different discounts
score = integrated / (time_discount * size_discount)
return score
def test_a_stab(create_int):
k_vals = [0.1, 1, 10]
interval = numpy.arange(0, 10, 1)
for k in k_vals:
# integrator for A' = -kA
integrator_func = create_int(lambda t, last_vals: -k * last_vals[0])
# [1] => only y-values, [0] => 1-dim.
result = integrator.integrate([integrator_func], [1], interval)[1][0]
# check whether values decrease
for i in range(0, len(result) - 1):
if result[i] < result[i + 1]:
return False
return True
def integrator_test(self):
sourcelist = [0.9676834571,0.9517338109,0.9469666224,0.9455741929,0.937271954,0.9756308369,0.963667954,0.9783003172,
0.9791772432,0.9630688213,0.9636879293, 0.9581131469,0.9749188851,0.96132287,0.9594692316,0.9517417142,
0.9580682981,0.9694806605,0.9705071034,0.9741733322,0.9656285119,0.9797829703,0.9476657225,0.9505700439,
0.9769535092,0.9628920433,0.9886532632,0.9749905082,0.9622008273,0.9588126694,0.9585201885,0.9656285119,
0.9635884074,0.9637201077,0.9486464305,0.9448569633,0.9548531757,0.9413523349,0.9437067169,0.9295829852,
0.9443785543,0.9266972306,0.9272177018,0.9396456813,0.948808991,0.9573977701,0.970075925,0.9793470801,
0.9840866322,0.9765331821,0.9656885071,0.9629277499,0.9614462269,0.9738112064,0.949794186,0.9964832677,
0.9958061173,0.9737453088,0.9641612591,0.9680686611,0.9796823214,0.9715538306,0.9917106859,0.961369319,
0.960533384,0.9630009426,0.9597456627,0.9426550241,0.9571523382,0.9441424433,0.9533811307,0.9547935049,
0.9595538268,0.9522523389,0.9563979183,0.9743059924,0.963151262,0.9664897915,0.9625850612,0.9878803841,0.973709362,
0.9593169424,0.9501199574,0.9492373943,0.9438450032,0.9455317748,0.967039832,0.9616603865,0.9824073673,
0.9699467778,0.9750983573,0.9927066538,0.9729307196,0.9851261483,0.9534832401,0.9562380523,0.9606531787,
0.967532279,0.9584946534,0.9740792079]
target = 0.962607799619
result = integrator.integrate(sourcelist)
self.assertAlmostEqual(result,target)
def bifurcationPlot(f0_min,
f0_max,
num_pts,
f1,
w0,
w1,
period,
name='',
show=True,
save=False):
consts = {}
consts["F0"] = 0
forces = list(np.linspace(f0_min, f0_max, num_pts))
consts["F1"] = f1
consts["c"] = 1.0
consts["k"] = -1.0
consts["beta"] = 1.0
consts["w0"] = w0
consts["w1"] = w1
consts["phi"] = 0
x0 = 1.0
y0 = 0.0
plt.figure()
plt.title('Bifurcation - f1={}'.format(f1))
plt.xlabel("$f_0$")
plt.ylabel("$x$")
for force in forces:
consts["F0"] = force
#print("integrating for F={}".format(force))
X, V, T, F = integrator.integrate(consts, x0, y0, 400, .5 * 10**-5,
True, 20000)
cut = len(X) // 2
strobe_x = integrator.strobe_points(X[cut:], T[cut:], period)
l = plt.plot([force] * len(strobe_x), strobe_x, 'b.')
plt.setp(l, 'markersize', 2)
#plt.savefig("bifurcation_f1_" + str(round(f,3)) + "w1_" + str(w)+ ".pdf")
plt.show()
def integrate_data(self, processing_options, out=None):
if out is None:
out = sys.stdout
integration_object = integrator.integrate( self.hutch, processing_options.integration )
q_low, q_mean, q_step = integration_object.get_q_arrays()
self.q_range = integrator.q_range( q_low, q_mean, q_step )
for this_specimen in self.specimen_array:
for this_image_name in this_specimen.image_names():
print >> out, "Integrating %s "%(this_image_name)
mi,vi = integration_object.integrate_image( this_image_name )
new_radially_integrated_dataset = integrator.radially_integrated_data( self.q_range )
new_radially_integrated_dataset.load_data(mi,vi)
transmission, i_tot,i_after = integration_object.get_aux_data(this_image_name)
new_radially_integrated_dataset.set_aux_info(transmission, i_tot, i_after)
tmp_image_name = this_image_name.split("/")
tmp_image_name = tmp_image_name[ len(tmp_image_name)-1 ]
#if
new_radially_integrated_dataset.write_data( file_name = tmp_image_name+".raw_data.qis" )
this_specimen.add_data( new_radially_integrated_dataset )
print >> out, " ----> I1/I0: %8.5f I0: %5.3e I1: %5.3e "%(transmission, i_tot, i_after)
print >> out
def pathPlots(f0, f1, w0, w1, name='', show=True, save=False):
consts = {}
consts["F0"] = f0
consts["F1"] = f1
consts["w0"] = w0
consts["w1"] = w1
consts["c"] = 1.0
consts["k"] = -1.0
consts["beta"] = 1.0
consts["phi"] = 0
x0 = 1.0
v0 = 0.0
x, v, t, f = integrator.integrate(consts, x0, v0, 500, 5E-5, True, 20000)
if not show and not save: return
N = len(x) // 2
plt.figure()
plt.plot(x[N:], v[N:])
plt.axis([-2, 2, -2, 2])
plt.title('Phase Space Trajectory')
plt.xlabel("x")
plt.ylabel("$\dot{x}$")
if save:
plt.savefig("pathPlots_phase_" + name + ".pdf")
plt.figure()
plt.plot(t, x)
plt.title('x vs t')
plt.xlabel("t")
plt.ylabel("x")
if save:
plt.savefig("pathPlots_xt_" + name + ".pdf")
if show:
plt.show()
from numba import jit
from time import clock
from integrator import integrate, f
t0 = clock()
integrate(f, 0, 1, 1e7)
time0 = clock() - t0
@jit
def numba_integrate(f, a, b, N):
dx = (b - a) / float(N)
s = 0
for i in range(int(N)):
s += f(i * dx)
return s * dx
t1 = clock()
numba_integrate(f, 0, 1, 1e7)
time1 = clock() - t1
print(time0)
print(time1)
"""
runfile('C:/Users/simen/INF3331-Simehaa/assignment4/numba_integrator.py', wdir='C:/Users/simen/INF3331-Simehaa/assignment4')
Reloaded modules: integrator
2.9856839809117446
3.8899518532693946
"""
def energyCalc(array1,array2,array3):
totEnergy = integrator.integrate(numpy.array(array1) ** 2) + integrator.integrate(numpy.array(array2) ** 2) + \
integrator.integrate(numpy.array(array3) ** 2)
return totEnergy
from integrator import midpoint_integrate
from numpy_integrator import numpy_midpoint_integrate
from numba_integrator import numba_midpoint_integrate
from cython_integrator import cython_midpoint_integrate
def f5(x):
return np.sin(x)
approx = 0
i = 1
while abs(approx - float(2.0)) > 10e-10:
#for i in range(1,10):
#print ("here",i,integrate(f5,0, math.pi,i*1000))
approx = integrate(f5, 0, math.pi, i * 1000)
i = i + 1
print("iterations required with integrate", i)
approx = 0
i = 1
while abs(approx - float(2.0)) > 10e-10:
#for i in range(1,3):
#print ("here",i,numpy_integrate(f5,0, math.pi,i*1000))
approx = numpy_integrate(f5, 0, math.pi, i * 1000)
i = i + 1
print("iterations required with numpy_integrate", i)
approx = 0
i = 1
while abs(approx - float(2.0)) > 10e-10:
def featurescom (fullarray, micannot,act_state):
samp_rate = source_var.sampling_rate()
pre_win = [0, samp_rate] #pre-window
imp_win = [(samp_rate/2)-1, int(6.5 * samp_rate)] # impact window
post_win = [int((2.5 * samp_rate))-1, 12 * samp_rate] #post impact window
max_win = [(samp_rate/2)-1, int(1.5 * samp_rate)] # window for search max value
tilt_sample_impact = [(2*samp_rate)-1, 3*samp_rate]
tilt_sample_post = [(3 * samp_rate) - 1, 12 * samp_rate] # window for tilt-angle
datAr = [] #for vector magnitude
datXa= [] #for X values
datYa= [] #for Y values
datZa= [] #for Z values
datXg=[]
datYg=[]
datZg=[]
for tempdata in fullarray:
datAr.append(float(tempdata[6]))
datXa.append(float(tempdata[0]))
datYa.append(float(tempdata[1]))
datZa.append(float(tempdata[2]))
datXg.append(float(tempdata[3]))
datYg.append(float(tempdata[4]))
datZg.append(float(tempdata[5]))
#******************************************************************************************************************************
#minimum value feature
minVal = min(datAr[pre_win[0]:pre_win[1]])
#******************************************************************************************************************************
#maximum value feature
maxVal = max(datAr[max_win[0]:max_win[1]])
#******************************************************************************************************************************
#mean for pre-impact event
meanList1 = datAr[pre_win[0]:pre_win[1]]
meanVal1 = numpy.mean(meanList1)
#******************************************************************************************************************************
#mean for impact
meanList2 = datAr[imp_win[0]:imp_win[1]]
meanVal2 = numpy.mean(meanList2)
#******************************************************************************************************************************
#mean for post-impact
meanList3 = datAr[post_win[0]:post_win[1]]
meanVal3 = numpy.mean(meanList3)
#******************************************************************************************************************************
#Root mean square for pre-impact
rmsList1 = datAr[pre_win[0]:pre_win[1]]
rms1 = sqrt(mean(numpy.array(rmsList1)**2))
#Root mean square for impact
rmsList2 = datAr[imp_win[0]:imp_win[1]]
rms2 = sqrt(mean(numpy.array(rmsList2)**2))
#Root mean square for post-impact
rmsList3 = datAr[post_win[0]:post_win[1]]
rms3 = sqrt(mean(numpy.array(rmsList3)**2))
#******************************************************************************************************************************
#variance for pre-impact
variance1 = numpy.var(datAr[pre_win[0]:pre_win[1]],ddof=1)
#variance for impact
variance2 = numpy.var(datAr[imp_win[0]:imp_win[1]],ddof=1)
#variance for post-impact
variance3 = numpy.var(datAr[post_win[0]:post_win[1]],ddof=1)
#******************************************************************************************************************************
#velocity in pre-impact
velo1 = integrator.integrate(datAr[pre_win[0]:pre_win[1]])
#velocity in impact
velo2 = integrator.integrate(datAr[imp_win[0]:imp_win[1]])
#velocity in post-impact
velo3 = integrator.integrate(datAr[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#energy in pre-impact
win1x = datXa[pre_win[0]:pre_win[1]]
win1y = datYa[pre_win[0]:pre_win[1]]
win1z = datZa[pre_win[0]:pre_win[1]]
energy1 = energyFeat.energyCalc(win1x,win1y,win1z)
#energy in impact
win2x = datXa[imp_win[0]:imp_win[1]]
win2y = datYa[imp_win[0]:imp_win[1]]
win2z = datZa[imp_win[0]:imp_win[1]]
energy2 = energyFeat.energyCalc(win2x,win2y,win2z)
#energy in post-impact
win3x = datXa[post_win[0]:post_win[1]]
win3y = datYa[post_win[0]:post_win[1]]
win3z = datZa[post_win[0]:post_win[1]]
energy3 = energyFeat.energyCalc(win3x,win3y,win3z)
#******************************************************************************************************************************
#signal magnitude are in pre-impact
sma1 = smaFeat.smafeat(datXa[pre_win[0]:pre_win[1]],datYa[pre_win[0]:pre_win[1]],datZa[pre_win[0]:pre_win[1]])
#signal magnitude are in impact
sma2 = smaFeat.smafeat(datXa[imp_win[0]:imp_win[1]],datYa[imp_win[0]:imp_win[1]],datZa[imp_win[0]:imp_win[1]])
#signal magnitude are in pre-impact
sma3 = smaFeat.smafeat(datXa[post_win[0]:post_win[1]],datYa[post_win[0]:post_win[1]],datZa[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#exponential moving average in pre-impact
ewma1 = emafit.ema(datAr[pre_win[0]:pre_win[1]])
#exponential moving average in impact
ewma2 = emafit.ema(datAr[imp_win[0]:imp_win[1]])
#exponential moving average in post-impact
ewma3 = emafit.ema(datAr[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#Tilt Angle in pre-impact
all_angle_1 = mytilt.mytilt(datXa[pre_win[0]:pre_win[1]],datYa[pre_win[0]:pre_win[1]],datZa[pre_win[0]:pre_win[1]],
datXg[pre_win[0]:pre_win[1]],datYg[pre_win[0]:pre_win[1]],datZg[pre_win[0]:pre_win[1]])
angle_y_1 = numpy.max(numpy.abs(numpy.array(all_angle_1[0])))
angle_z_1 = numpy.max(numpy.abs(numpy.array(all_angle_1[1])))
#Tilt Angle in impact
all_angle_2 = mytilt.mytilt(datXa[tilt_sample_impact[0]:tilt_sample_impact[1]],datYa[tilt_sample_impact[0]:tilt_sample_impact[1]],
datZa[tilt_sample_impact[0]:tilt_sample_impact[1]],datXg[tilt_sample_impact[0]:tilt_sample_impact[1]],
datYg[tilt_sample_impact[0]:tilt_sample_impact[1]],datZg[tilt_sample_impact[0]:tilt_sample_impact[1]])
angle_y_2 = numpy.max(numpy.abs(numpy.array(all_angle_2[0])))
angle_z_2 = numpy.max(numpy.abs(numpy.array(all_angle_2[1])))
#Tilt Angle in post-impact
all_angle_3 = mytilt.mytilt(datXa[tilt_sample_post[0]:tilt_sample_post[1]],datYa[tilt_sample_post[0]:tilt_sample_post[1]],
datZa[tilt_sample_post[0]:tilt_sample_post[1]],datXg[tilt_sample_post[0]:tilt_sample_post[1]],
datYg[tilt_sample_post[0]:tilt_sample_post[1]],datZg[tilt_sample_post[0]:tilt_sample_post[1]])
angle_y_3 = numpy.max(numpy.abs(numpy.array(all_angle_3[0])))
angle_z_3 = numpy.max(numpy.abs(numpy.array(all_angle_3[1])))
#******************************************************************************************************************************
annot = micannot
#datfeat = [minVal, maxVal, meanVal1, meanVal2, meanVal3, rms1, rms2, rms3, variance1, variance2, variance3, velo1,
# velo2, velo3, energy1, energy2, energy3, sma1, sma2, sma3, ewma1, ewma2, ewma3, act_state, annot]
datfeat = [minVal, maxVal, meanVal1, meanVal2, meanVal3, rms1, rms2, rms3, variance1, variance2, variance3, velo1,
velo2, velo3, energy1, energy2, energy3, sma1, sma2, sma3, ewma1, ewma2, ewma3, angle_y_1, angle_z_1,
angle_y_2, angle_z_2,angle_y_3,angle_z_3,act_state, annot]
return datfeat
def test_integrals_of_linear_function(N,c=1): #c scales error (order of 1/N) f = lambda x: 2*x computed_answer = integrate(f,0,1,N) expected_answer = float(1) error = float(c)/N assert abs(computed_answer-expected_answer) < error
def test_integral_of_linear_function():
def f(x):
return 2 * x
for i in range(1, 4):
assert integrate(f, 0, 1, 10**i) - 2 < 1E20
import integrator
#you would have to package this into a python package
'''create a directory, then create a file, call file __init__.py that makes the folder a python module
put in the
integrator = Integrator()
integrator.method("midpoint")
integrator.function(f)
integrator.startpoint(0)
integrator.end_point(200)
#working example of this on website
result = integrator.integrate()
f = lambda x: x*x
a=0
b=1
N = 10000
start1 = time.time()
integral = numpy_integrate(f,a,b,N)
end1 = time.time()
report.write("time taken for N = %i using numpy is %f \n"%(N,end1 - start1))
start2 = time.time()
integral = integrate(f,a,b,N)
end2 = time.time()
report.write("time taken for N = %i NOT using numpy is %f \n"%(N,end2 - start2))
report.write("the difference of time2-time1 if %f \n"%((end2 - start2)-(end1 - start1)))
if((end2 - start2) < (end1 - start1)):
report.write("using numpy arrays slowed down the integrator by %i percent \n" %((((end1 - start1)/(end2 - start2))*100)-100))
if((end2 - start2) > (end1 - start1)):
report.write("using numpy arrays speeds up the integrator by %i percent \n" %(((end2 - start2)/(end1 - start1))*100))
###########################################################
report.write("------------------------------------------------- \n")
def test_integral_of_constant_function():
def f(x):
return 2
for i in range(1, 4):
assert integrate(f, 0, 1, 10**i) - 2 < 1E20
def calc_features(fullarray, micannot, samp_rate):
#vect_c not used
pre_win = [0, 100] #pre-window 1s
impact_max = [50, 150] #1s
imp_win = [50, 650] # impact window 6s
post_win = [300, 1200] #9 s, based on the paper it should be 250-1200
datAr = [] #for vector magnitude
datXa = [] #for X values
datYa = [] #for Y values
datZa = [] #for Z values
datXg = []
datYg = []
datZg = []
for tempdata in fullarray:
datAr.append(float(tempdata[6]))
datXa.append(float(tempdata[0]))
datYa.append(float(tempdata[1]))
datZa.append(float(tempdata[2]))
datXg.append(float(tempdata[3]))
datYg.append(float(tempdata[4]))
datZg.append(float(tempdata[5]))
#if micannot == 2:
# print "fall"
#else:
# print "non-fall"
#plt.plot(datAr)
#plt.show()
#******************************************************************************************************************************
#minimum pre impact
min_pre = min(datAr[pre_win[0]:pre_win[1]])
#minimum value impact
#min_imp = min(datAr[imp_win[0]:imp_win[1]])
#minimum post imp
#min_post = min(datAr[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#maximum value pre-impact
#max_pre = max(datAr[pre_win[0]:pre_win[1]])
#maximum value impact
max_imp = max(datAr[impact_max[0]:impact_max[1]])
#maximum value post
#max_post = max(datAr[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#mean for pre-impact event
meanList1 = datAr[pre_win[0]:pre_win[1]]
meanVal1 = numpy.mean(meanList1)
#******************************************************************************************************************************
#mean for impact
meanList2 = datAr[imp_win[0]:imp_win[1]]
meanVal2 = numpy.mean(meanList2)
#******************************************************************************************************************************
#mean for post-impact
meanList3 = datAr[post_win[0]:post_win[1]]
meanVal3 = numpy.mean(meanList3)
#******************************************************************************************************************************
#Root mean square for pre-impact
rmsList1 = datAr[pre_win[0]:pre_win[1]]
rms1 = sqrt(mean(numpy.array(rmsList1)**2))
#Root mean square for impact
rmsList2 = datAr[imp_win[0]:imp_win[1]]
rms2 = sqrt(mean(numpy.array(rmsList2)**2))
#Root mean square for post-impact
rmsList3 = datAr[post_win[0]:post_win[1]]
rms3 = sqrt(mean(numpy.array(rmsList3)**2))
#******************************************************************************************************************************
#variance for pre-impact
variance1 = numpy.var(datAr[pre_win[0]:pre_win[1]], ddof=1)
#variance for impact
variance2 = numpy.var(datAr[imp_win[0]:imp_win[1]], ddof=1)
#variance for post-impact
variance3 = numpy.var(datAr[post_win[0]:post_win[1]], ddof=1)
#******************************************************************************************************************************
#velocity in pre-impact
velo1 = integrator.integrate(datAr[pre_win[0]:pre_win[1]])
#velocity in impact
velo2 = integrator.integrate(datAr[imp_win[0]:imp_win[1]])
#velocity in post-impact
velo3 = integrator.integrate(datAr[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#energy in pre-impact
win1x = datXa[pre_win[0]:pre_win[1]]
win1y = datYa[pre_win[0]:pre_win[1]]
win1z = datZa[pre_win[0]:pre_win[1]]
energy1 = energyFeat.energyCalc(win1x, win1y, win1z)
#energy in impact
win2x = datXa[imp_win[0]:imp_win[1]]
win2y = datYa[imp_win[0]:imp_win[1]]
win2z = datZa[imp_win[0]:imp_win[1]]
energy2 = energyFeat.energyCalc(win2x, win2y, win2z)
#energy in post-impact
win3x = datXa[post_win[0]:post_win[1]]
win3y = datYa[post_win[0]:post_win[1]]
win3z = datZa[post_win[0]:post_win[1]]
energy3 = energyFeat.energyCalc(win3x, win3y, win3z)
#******************************************************************************************************************************
#signal magnitude are in pre-impact
sma1 = smaFeat.smafeat(datXa[pre_win[0]:pre_win[1]],
datYa[pre_win[0]:pre_win[1]],
datZa[pre_win[0]:pre_win[1]])
#signal magnitude are in impact
sma2 = smaFeat.smafeat(datXa[imp_win[0]:imp_win[1]],
datYa[imp_win[0]:imp_win[1]],
datZa[imp_win[0]:imp_win[1]])
#signal magnitude are in pre-impact
sma3 = smaFeat.smafeat(datXa[post_win[0]:post_win[1]],
datYa[post_win[0]:post_win[1]],
datZa[post_win[0]:post_win[1]])
#******************************************************************************************************************************
#exponential moving average in pre-impact
ewma1 = emafit.ema(datAr[pre_win[0]:pre_win[1]])
#exponential moving average in impact
ewma2 = emafit.ema(datAr[imp_win[0]:imp_win[1]])
#exponential moving average in post-impact
ewma3 = emafit.ema(datAr[post_win[0]:post_win[1]])
#******************************************************************************************************************************
datfeat = [
min_pre, max_imp, meanVal1, meanVal2, meanVal3, rms1, rms2, rms3,
variance1, variance2, variance3, velo1, velo2, velo3, energy1, energy2,
energy3, sma1, sma2, sma3, ewma1, ewma2, ewma3, micannot
]
return datfeat
def test_integral_of_constant_function(N): f = lambda x: 2 #Test function computed_answer = integrate(f,0,1,N) expected_answer = 2 assert abs(computed_answer-expected_answer) < 1**(-20)
@contextmanager
def timeit_context(name):
startTime = time.time()
yield
elapsedTime = round((time.time() - startTime) * 1000.0, 3)
print('[{}] finished in {} ms'.format(name, elapsedTime))
f1 = lambda x: 2 * x
with timeit_context('Python implementation, midpoint method, n=100'):
sum_of_integral1 = integrator.integrate(f1,
0,
1,
100,
method="midpoint",
implementation="default")
print(sum_of_integral1)
with timeit_context('Numpy implementation, midpoint method, n=100'):
sum_of_integral1 = integrator.integrate(f1,
0,
1,
100,
method="midpoint",
implementation="numpy")
print(sum_of_integral1)