Added DTW to the PythonWrapper API
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# Bug corrections for version 1.9
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import cmsisdsp as dsp
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import cmsisdsp.fixedpoint as f
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import numpy as np
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import colorama
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from colorama import init,Fore, Back, Style
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from numpy.testing import assert_allclose
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from numpy.linalg import norm
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from dtw import *
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import matplotlib
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import matplotlib as mpl
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import matplotlib.pyplot as plt
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init()
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def printTitle(s):
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print("\n" + Fore.GREEN + Style.BRIGHT + s + Style.RESET_ALL)
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def printSubTitle(s):
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print("\n" + Style.BRIGHT + s + Style.RESET_ALL)
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printTitle("DTW Window")
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printSubTitle("SAKOE_CHIBA_WINDOW")
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refWin1=np.array([[1, 1, 1, 0, 0],
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[1, 1, 1, 1, 0],
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[1, 1, 1, 1, 1],
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[0, 1, 1, 1, 1],
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[0, 0, 1, 1, 1],
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[0, 0, 0, 1, 1],
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[0, 0, 0, 0, 1],
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[0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0],
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[0, 0, 0, 0, 0]], dtype=np.int8)
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dtwWindow=np.zeros((10,5),dtype=np.int8)
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wsize=2
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status,w=dsp.arm_dtw_init_window_q7(dsp.ARM_DTW_SAKOE_CHIBA_WINDOW,wsize,dtwWindow)
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assert (w==refWin1).all()
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printSubTitle("SLANTED_BAND_WINDOW")
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refWin2=np.array([[1, 1, 0, 0, 0],
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[1, 1, 0, 0, 0],
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[1, 1, 1, 0, 0],
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[0, 1, 1, 0, 0],
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[0, 1, 1, 1, 0],
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[0, 0, 1, 1, 0],
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[0, 0, 1, 1, 1],
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[0, 0, 0, 1, 1],
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[0, 0, 0, 1, 1],
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[0, 0, 0, 0, 1]], dtype=np.int8)
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dtwWindow=np.zeros((10,5),dtype=np.int8)
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wsize=1
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status,w=dsp.arm_dtw_init_window_q7(dsp.ARM_DTW_SLANTED_BAND_WINDOW,wsize,dtwWindow)
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assert (w==refWin2).all()
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printTitle("DTW Cost Matrix and DTW Distance")
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QUERY_LENGTH = 10
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TEMPLATE_LENGTH = 5
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query=np.array([ 0.08387197, 0.68082274, 1.06756417, 0.88914541, 0.42513398, -0.3259053,
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-0.80934885, -0.90979435, -0.64026483, 0.06923695])
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template=np.array([ 1.00000000e+00, 7.96326711e-04, -9.99998732e-01, -2.38897811e-03,
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9.99994927e-01])
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cols=np.array([1,2,3])
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rows=np.array([10,11,12])
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printSubTitle("Without a window")
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referenceCost=np.array([[0.91612804, 0.9992037 , 2.0830743 , 2.1693354 , 3.0854583 ],
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[1.2353053 , 1.6792301 , 3.3600516 , 2.8525472 , 2.8076797 ],
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[1.3028694 , 2.3696373 , 4.4372 , 3.9225004 , 2.875249 ],
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[1.4137241 , 2.302073 , 4.1912174 , 4.814035 , 2.9860985 ],
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[1.98859 , 2.2623994 , 3.6875322 , 4.115055 , 3.5609593 ],
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[3.3144953 , 2.589101 , 3.2631946 , 3.586711 , 4.8868594 ],
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[5.123844 , 3.3992462 , 2.9704008 , 3.7773607 , 5.5867043 ],
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[7.0336385 , 4.309837 , 3.0606053 , 3.9680107 , 5.8778 ],
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[8.673903 , 4.950898 , 3.420339 , 4.058215 , 5.698475 ],
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[9.604667 , 5.0193386 , 4.489575 , 3.563591 , 4.494349 ]],
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dtype=np.float32)
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referenceDistance = 0.2996232807636261
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# Each row is a new query
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a,b = np.meshgrid(template,query)
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distance=abs(a-b).astype(np.float32)
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status,dtwDistance,dtwMatrix = dsp.arm_dtw_distance_f32(distance,None)
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assert_allclose(referenceDistance,dtwDistance)
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assert_allclose(referenceCost,dtwMatrix)
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printSubTitle("Path")
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path=dsp.arm_dtw_path_f32(np.copy(dtwMatrix))
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#print(path)
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pathMatrix=np.zeros(dtwMatrix.shape)
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for x in list(zip(path[0::2],path[1::2])):
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pathMatrix[x] = 1
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fig, ax = plt.subplots()
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im = ax.imshow(pathMatrix,vmax=2.0)
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for i in range(QUERY_LENGTH):
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for j in range(TEMPLATE_LENGTH):
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text = ax.text(j, i, "%.1f" % dtwMatrix[i, j],
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ha="center", va="center", color="w")
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fig.tight_layout()
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plt.show()
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printSubTitle("With a window")
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referenceDistance = 0.617099940776825
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referenceCost=np.array([[9.1612804e-01, 9.9920368e-01, np.NAN, np.NAN,
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np.NAN],
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[1.2353053e+00, 1.6792301e+00, np.NAN, np.NAN,
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np.NAN],
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[1.3028694e+00, 2.3696373e+00, 4.4372001e+00, np.NAN,
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np.NAN],
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[np.NAN, 3.0795674e+00, 4.9687119e+00, np.NAN,
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np.NAN],
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[np.NAN, 3.5039051e+00, 4.9290380e+00, 5.3565612e+00,
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np.NAN],
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[np.NAN, np.NAN, 4.8520918e+00, 5.1756082e+00,
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np.NAN],
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[np.NAN, np.NAN, 5.0427418e+00, 5.8497019e+00,
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7.6590457e+00],
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[np.NAN, np.NAN, np.NAN, 6.7571073e+00,
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8.6668968e+00],
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[np.NAN, np.NAN, np.NAN, 7.3949833e+00,
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9.0352430e+00],
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[np.NAN, np.NAN, np.NAN, np.NAN,
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9.2564993e+00]], dtype=np.float32)
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status,dtwDistance,dtwMatrix = dsp.arm_dtw_distance_f32(distance,w)
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assert_allclose(referenceDistance,dtwDistance)
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assert_allclose(referenceCost[w==1],dtwMatrix[w==1])
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