数学建模水塔问题。美国某州的各个用水管理机构要求各社区提供以每小时多少加仑计的用水量及每天的总用水量。许多社区没有测量流入或流出当地水塔的装置，他们只能代之以每小时测量水塔中的水量，其精度在0.5%以内，更重要的是，当水塔中的水位下降到某个最低水位L时，水泵就启动向水塔水直到最高水位H，而且不能测量水泵的供水量。因此，当水泵正在供水时不容易建立水位与用水量之间的关系，水泵每天供水一至两次，每次约两小时。
请估计任何时刻（包括水泵正在供水的时候）从水塔流出的水量f(t)及一天的总用水量。(Water management agencies in a state in the United States require communities to provide gallons of water per hour and total water consumption per day. Many communities do not have the measurement device into or out of the local water tower, they can only be replaced by measuring the amount of water in the water per hour, its accuracy is less than 0.5%, more importantly, when the water level in the tank drops to a minimum level of L when the pump starts to the water tower water until the high water level of H, but not measurement of water supply pump. Therefore, when the pump is water supply, it is not easy to establish the relationship between water level and water consumption, the pump water supply one to two times a day, about two hours each time.
Please estimate the amount of water (f (T)) and the total water consumption of the day from the water tower at any time (including the water pump being supplied).)