simple time delay function added
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import numpy as np
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def Volume_trend(influx,outflux,timestep=1,V_0=0):
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'''
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Returns the trend and the volume and the final volume, defined
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by influx and outflux patterns. The optional parameter timestep
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defines the time increment over which the fluxes are changing.
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'''
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net_flux = influx-outflux
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delta_V = net_flux*timestep
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V_trend = V_0+np.cumsum(delta_V)
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V_end = V_trend[-1]
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return V_end, V_trend
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def Height_trend(V_trend,area=1,h_crit_low=-np.inf,h_crit_high=np.inf):
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'''
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Returns the trend and the height and the final height, defined
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by influx and outflux patterns as well as the crosssection area.
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The optional parameters h_crit_low/high indicate limits that the height
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should never exceed. If this occures, TRUE is returned in the corresponding
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h_crit_flag.
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'''
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h_trend = V_trend/area
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h_crit_flag_low = np.any(h_trend <= h_crit_low)
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h_crit_flag_high = np.any(h_trend >= h_crit_high)
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h_end = h_trend[-1]
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return h_trend,h_end,h_crit_flag_low,h_crit_flag_high
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## testing
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if __name__ == "__main__":
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influx = np.full([1,100], 6)
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outflux = np.full_like(influx, 4)
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V_end, V_trend = Volume_trend(influx, outflux,timestep=0.5,V_0 = 100)
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print(V_end)
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print(V_trend)
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