def boundary_conditions(x, t=None, z=None, NBSYM=2):
""" Generates mirrored extrema beyond the singal limits. """
if not t:
t = np.arange(len(x))
if not z:
z = x
indmin, indmax = extr(x)[:2]
lmin = indmin[:NBSYM]
lmax = indmax[:NBSYM]
rmin = indmin[len(indmin) - NBSYM:]
rmax = indmax[len(indmax) - NBSYM:]
lmin_extended = -1 * lmin[::-1]
lmax_extended = -1 * lmax[::-1]
rmin_extended = (len(x) - rmin)[::-1] - 1 + len(x)
rmax_extended = (len(x) - rmax)[::-1] - 1 + len(x)
tmin = np.concatenate((lmin_extended, indmin, rmin_extended))
tmax = np.concatenate((lmax_extended, indmax, rmax_extended))
zmin = x[indmin]
zmax = x[indmax]
zmin_left = x[lmin][::-1]
zmax_left = x[lmax][::-1]
zmin_right = x[rmin][::-1]
zmax_right = x[rmax][::-1]
zmin = np.concatenate((zmin_left, zmin, zmin_right))
zmax = np.concatenate((zmax_left, zmax, zmax_right))
return tmin, tmax, zmin, zmax
def boundary_conditions(x, t=None, z=None, NBSYM=2):
""" Generates mirrored extrema beyond the singal limits. """
if not t:
t = np.arange(len(x))
if not z:
z = x
indmin, indmax = extr(x)[:2]
lmin = indmin[:NBSYM]
lmax = indmax[:NBSYM]
rmin = indmin[len(indmin)-NBSYM:]
rmax = indmax[len(indmax)-NBSYM:]
lmin_extended = -1*lmin[::-1]
lmax_extended = -1*lmax[::-1]
rmin_extended = (len(x)-rmin)[::-1] - 1 + len(x)
rmax_extended = (len(x)-rmax)[::-1] - 1 + len(x)
tmin = np.concatenate((lmin_extended,indmin,rmin_extended))
tmax = np.concatenate((lmax_extended,indmax,rmax_extended))
zmin = x[indmin]
zmax = x[indmax]
zmin_left = x[lmin][::-1]
zmax_left = x[lmax][::-1]
zmin_right = x[rmin][::-1]
zmax_right = x[rmax][::-1]
zmin = np.concatenate((zmin_left, zmin, zmin_right))
zmax = np.concatenate((zmax_left, zmax, zmax_right))
return tmin, tmax, zmin, zmax
lmin_extended = -1 * lmin[::-1]
lmax_extended = -1 * lmax[::-1]
rmin_extended = (len(x) - rmin)[::-1] - 1 + len(x)
rmax_extended = (len(x) - rmax)[::-1] - 1 + len(x)
tmin = np.concatenate((lmin_extended, indmin, rmin_extended))
tmax = np.concatenate((lmax_extended, indmax, rmax_extended))
zmin = x[indmin]
zmax = x[indmax]
zmin_left = x[lmin][::-1]
zmax_left = x[lmax][::-1]
zmin_right = x[rmin][::-1]
zmax_right = x[rmax][::-1]
zmin = np.concatenate((zmin_left, zmin, zmin_right))
zmax = np.concatenate((zmax_left, zmax, zmax_right))
return tmin, tmax, zmin, zmax
if __name__ == "__main__":
x = np.random.randn(100)
indmin, indmax = extr(x)[:2]
plt.plot(x)
tmin, tmax, zmin, zmax = boundary_conditions(x)
plt.plot(tmin, zmin, 'r.')
plt.plot(tmax, zmax, 'g.')
plt.show()
rmax = indmax[len(indmax)-NBSYM:]
lmin_extended = -1*lmin[::-1]
lmax_extended = -1*lmax[::-1]
rmin_extended = (len(x)-rmin)[::-1] - 1 + len(x)
rmax_extended = (len(x)-rmax)[::-1] - 1 + len(x)
tmin = np.concatenate((lmin_extended,indmin,rmin_extended))
tmax = np.concatenate((lmax_extended,indmax,rmax_extended))
zmin = x[indmin]
zmax = x[indmax]
zmin_left = x[lmin][::-1]
zmax_left = x[lmax][::-1]
zmin_right = x[rmin][::-1]
zmax_right = x[rmax][::-1]
zmin = np.concatenate((zmin_left, zmin, zmin_right))
zmax = np.concatenate((zmax_left, zmax, zmax_right))
return tmin, tmax, zmin, zmax
if __name__ == "__main__":
x = np.random.randn(100)
indmin, indmax = extr(x)[:2]
plt.plot(x)
tmin, tmax, zmin, zmax = boundary_conditions(x)
plt.plot(tmin, zmin, 'r.')
plt.plot(tmax, zmax, 'g.')
plt.show()
