314 lines
11 KiB
Python
314 lines
11 KiB
Python
# These could be from the std math lib, but I like the numpy ones better personally
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from numpy import sin, cos, pi, sqrt, pow
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# Pull a1 support
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from a1_support import GRAVITY_ACC, WATER_DENSITY, HELP_MESSAGE
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from a1_support import load_data, plot_water_height
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# Fill these in with your details
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__author__ = "Cal Wing"
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__email__ = "cal@wing.id.au"
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__date__ = "14/02/2025"
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__version__ = "1.0.0"
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# Task 1
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def determine_power_used(water_mass: float, elevation: float,
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pumping_time: float, efficiency: float) -> float:
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"""
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Calculates the power required to pump a certain mass of water a certain height
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taking into account the pumping_time and efficiency.
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Parameters:
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water_mass (float): the mass of the water pumped [kg]
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elevation (float): the height difference [m]
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pumping_time (float): the amount of time the pump is running for [hrs]
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efficiency (float): the conversion efficiency [%]
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Returns:
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(float): the power required by the pump [kW]
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"""
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# Ideal energy needed to lift the water
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potenital_energy = water_mass * GRAVITY_ACC * elevation # J = kg * m/s^2 * m = mgh
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# Actual amount of energy needed based on eff
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# Here an 85% eff means an extra 15% is needed to pump the water up
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# [NOTE] I got stuck on this for a bit, unsure if it was my sleep deprived brain but took me
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# me a bit to get the efficiency calc.
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electrical_energy = potenital_energy / (efficiency/100) # J = J * SCALER
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# Actual electrial power used to pump the water
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power_used = electrical_energy / (pumping_time*60*60) # W = J / S = J / (hr*60*60)
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return power_used / 1e3 # W -> kW
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# Task 2
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def determine_water_released(gen_power: float, elevation: float,
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pumping_time: float, efficiency: float) -> float:
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"""
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Calculates the mass of water released required to generate a specified power
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Parameters:
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gen_power (float): the specified power to be generated [kW]
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elevation (float): the height difference [m]
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pumping_time (float): the time the pump is running for [hrs]
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efficiency (float): the conversion efficiency [%]
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Returns:
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(float): the mass of the water required [kg]
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"""
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# How much electrical engery was generated?
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electrical_energy = (gen_power * 1e3) * (pumping_time*60*60) # J = W * S = (kW * 10^3) * (hrs*60*60)
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# Need more potential energy to get electrial energy
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# Again here for 85% eff need 15% more potenitial enegry to get pot-eng
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potential_energy = electrical_energy * (efficiency/100) # J = J * Scaler
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water_mass = potential_energy / (GRAVITY_ACC * elevation) # kg = J / (m/s^2 * m)
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return water_mass
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# Task 3
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def determine_cost_to_pump(gen_power: float, pumping_time: float,
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off_peak_tariff: float) -> float:
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"""
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Calculates the cost of using the pump during off peak period
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Parameters:
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gen_power (float): the amount of power generated by the pump [kW]
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pumping_time (float): the amount of time the pump is running for [hrs]
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off_peak_tariff (float): the off-peak tarriff cost for electricity [$/kWh]
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Returns:
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(float): the cost of running the pump ($)
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"""
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cost = gen_power * pumping_time * off_peak_tariff
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return cost
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# Task 4
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def calc_speed_at_outlet(water_height: float) -> float:
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"""
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Calculates the speed of the water at the outlet of the dam
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Parameters:
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water_height (float): the height of the water in the pipe [m]
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Returns:
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(float): the speed of the water at the outlet [m/s]
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"""
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speed = sqrt(2 * water_height * GRAVITY_ACC)
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return speed
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# Task 5
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def calc_new_water_height(old_water_height: float, reservoir_area: float,
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outlet_area: float, time_inc: float) -> tuple[float, float]:
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water_mass_out = outlet_area * calc_speed_at_outlet(old_water_height) \
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* time_inc * WATER_DENSITY
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new_water_height = old_water_height - \
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(water_mass_out / (reservoir_area * WATER_DENSITY))
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return new_water_height, water_mass_out
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# Task 6
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def calc_heights_water_out(initial_height: float, final_height: float,
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reservoir_area: float, outlet_area: float,
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time_inc: float
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) -> tuple[tuple[float, ...], tuple[float, ...]]:
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# Track the water height & mass
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water_height, water_mass = [], []
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# Do the first iteration
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new_water_height, water_mass_out = \
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calc_new_water_height(initial_height, reservoir_area,
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outlet_area, time_inc)
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# Store the new values
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water_height.append(new_water_height)
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water_mass.append(water_mass_out)
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# Do the loop
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while water_height[-1] > final_height:
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new_water_height, water_mass_out = \
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calc_new_water_height(water_height[-1], reservoir_area,
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outlet_area, time_inc)
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water_height.append(new_water_height)
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water_mass.append(water_mass_out)
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return water_height, water_mass
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# Task 7
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def calc_energy_power(heights: tuple[float, ...], water_mass_outs: tuple[float, ...],
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relative_elevation: float, efficiency: float,
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time_inc: float) -> tuple[tuple[float, ...], tuple[float, ...]]:
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energy, power = (), ()
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for i in range(len(heights)):
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energy_jules = water_mass_outs[i] * GRAVITY_ACC * \
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(heights[i] + relative_elevation) * (efficiency/100) # note the comma
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energy += energy_jules / 3.6e6, # convert to kWh
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power += (energy_jules / time_inc) / 1e3, # convert to kW
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return energy, power
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# Task 8
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def calc_daily_profit(energy: tuple[float, ...], peak_tariff: float,
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off_peak_tariff: float, efficiency: float) -> float:
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total_profit = sum(energy) * (peak_tariff - off_peak_tariff / pow(efficiency/100, 2))
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return total_profit
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# Task 9
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def print_table(start_relative_elevation: float, step_size: float,
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num_steps: int, initial_height: float, final_height: float,
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reservoir_area: float, outlet_area: float, time_inc: float,
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peak_tariff: float, off_peak_tariff: float, efficiency: float):
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# Print the header
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print("#"*79)
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print("# Relative elevation (m) # Daily Profit ($) # Total Energy (kWh) #")
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print("#"*79)
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table_data = ()
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rel_elevation = start_relative_elevation
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for i in range(num_steps):
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heights, water_mass_outs = calc_heights_water_out(initial_height, final_height, reservoir_area, outlet_area, time_inc)
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energy, _ = calc_energy_power(heights, water_mass_outs, rel_elevation, efficiency, time_inc)
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total_energy = sum(energy)
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profit = calc_daily_profit(energy, peak_tariff, off_peak_tariff, efficiency)
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table_data += (rel_elevation, profit, total_energy),
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rel_elevation += step_size
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# Print the table
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for elevation, profit, total_energy in table_data:
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print(f"#{elevation:^25d}#{profit:^25.2f}#{total_energy:^25.2f}#")
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print("#"*79)
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def main():
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cmd, data = None, None
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while True:
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cmd = input("Please enter a command: ").lower()
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# Help CMD
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if cmd[0] == "h":
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print(HELP_MESSAGE)
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# Quit
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elif cmd[0] == "q":
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while True:
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cmd = input("Are you sure (y/n): ").lower()
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if cmd in ['y', 'n']:
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break
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print("Please enter a valid reponse")
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if cmd == 'y':
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break
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# Read Data
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elif cmd[0] == "r":
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directory = input("Please specify the directory: ")
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filename = input("Please specify the filename: ")
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data = load_data(directory, filename)
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# Print Table
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elif cmd[0] == "p":
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if data is None:
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print("Please load data before using this command")
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continue
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cmds = cmd.split()
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if len(cmds) != 4:
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print("Please enter the correct number of arguments")
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continue
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# This makes ints & floats
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foo = ()
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for c in cmds:
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if "." in str(c):
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foo += float(c),
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elif c.isnumeric():
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foo += int(c),
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else:
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foo += c,
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print_table(*foo[1:], *data)
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# Make Graph
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elif cmd[0] == "s":
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if data is None:
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print("Please load data before using this command")
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continue
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print("Simulating water heights...")
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heights, _ = calc_heights_water_out(*data[0:5])
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plot_water_height(heights, data[4])
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# Catch All
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else:
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print("Please enter a valid command")
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##### End of Assisgnment #####
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if __name__ == '__main__':
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# See if I get what the task sheet wants
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# [NOTE] It seems I am witing my own test suite :/ that wasn't the initention lol
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# Tests do equal what I get when i test it in the shell
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def sheet_tasks():
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from debug_lib import NO_EVAL, TUPLE_EVAL
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from debug_lib import compair_outputs, auto_input
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# from a1_alex import calc_daily_profit
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TASKS = (
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(determine_power_used, (5e6, 250, 8, 85), 500.9191176470588),
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(determine_water_released, (300, 250, 8, 85), 2994495.4128440367),
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(determine_cost_to_pump, (300, 8, 0.02), 48),
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(calc_speed_at_outlet, (30,), 24.261079942986875),
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(calc_new_water_height, (20, 40000, 1, 30), (19.985143183382704, 592567.1021442247)),
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(calc_heights_water_out, (40, 5, 40000, 1, 30), ((39.97898928844613, 39.95798409574207, 39.93698442188801), (838016.4324684857, 837796.3120398963, 837576.1916037091), TUPLE_EVAL)),
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(calc_energy_power, tuple(i for i in calc_heights_water_out(30, 20, 40000, 1, 30)) + (200, 85, 30), ((386.6002008976669, 386.4523727180418, 386.3045723539472), (46392.024107720026, 46374.28472616501, 46356.548682473665), TUPLE_EVAL)),
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(calc_daily_profit, (calc_energy_power(*(tuple(i for i in calc_heights_water_out(30, 20, 40000, 1, 30)) + (200, 85, 30)))[0], 0.02, 0.005, 85), 2718.700033709491)
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)
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compair_outputs(TASKS)
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print("\nTask 8")
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print_table(280, 20, 6, 30, 20, 40000, 1, 30, 0.02, 0.005, 85)
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print("\nTask 9")
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global input # This is some magic I wrote a while ago to be an automatic input func
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input = auto_input([
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"h", "s", "q", "n",
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"r", "test", "test_data.txt",
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"p 280 20 6",
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"r", "test", "test_data_2.txt",
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's',
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"q", "y"
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])
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main()
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sheet_tasks() |