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a value of 0.0 means only the old value (initial value) counts,
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If rt is between n*start_time and (n+1)*start_time round downward
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For example (for start_time = 15.0):
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25.2 -> 25.0
26.4 -> 26.0
35.3 -> 34.0
63.6 -> 60.0
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