def compute_analytics(self, compute_dict):
if not self.validate_compute_dict(compute_dict):
return False
self.num_datapoints = int(compute_dict['time'].shape[0])
self.data['time'] = compute_dict['time']
self.data['data'] = compute_dict['data']
self.compute['tradeable'] = Analytics.market_hours(
compute_dict['time'])
for key, val in compute_dict.items():
if key == 'sma':
if isinstance(compute_dict[key], list):
self.compute[key] = []
for period in compute_dict[key]:
self.compute[key].append(
Analytics.moving_average(data=compute_dict['data'],
period=period))
else:
continue
elif key == 'derivative':
if isinstance(compute_dict[key], list):
self.compute[key] = []
for sma_period, deriv_period in compute_dict[key]:
local_sma = Analytics.moving_average(
data=compute_dict['data'], period=sma_period)
self.compute[key].append(
Analytics.derivative(data=local_sma,
period=deriv_period))
else:
continue
elif key == 'Bollinger':
if isinstance(compute_dict[key], list):
self.compute[key] = []
for anchor_period, oscillator_period, bollinger_period in compute_dict[
key]:
local_anchor = Analytics.moving_average(
data=compute_dict['data'], period=anchor_period)
local_oscillator = Analytics.moving_average(
data=compute_dict['data'],
period=oscillator_period)
self.compute[key].append(
Analytics.bollinger_bands(data=local_oscillator,
average=local_anchor,
period=bollinger_period))
else:
continue
self.analytics_up_to_date = True
return True
time = datafile[group_choice]['datetime'][...]
data_open = datafile[group_choice]['open'][...]
data_high = datafile[group_choice]['high'][...]
data_low = datafile[group_choice]['low'][...]
datafile.close()
period = 30
data = Analytics.candle_avg(open=data_open, high=data_high, low=data_low)
candle_low_bollinger, candle_high_bollinger = Analytics.candle_bollinger_bands(open=data_open,
high=data_high,
low=data_low,
average=data,
period=period)
sma = Analytics.moving_average(data=data, period=period)
sma_d = Analytics.derivative(data=sma, period=period)
sma_dd = Analytics.second_derivative(data=sma, period=period)
# sma = Analytics.exp_moving_average(data=data, alpha=.1, period=30)
sma_low_bollinger, sma_high_bollinger = Analytics.bollinger_bands(data=data, average=sma)
results_list = SMA_strat(time=time,
sma=sma,
sma_d=sma_d,
sma_dd=sma_dd,
bollinger_down=sma_low_bollinger,
bollinger_up=sma_high_bollinger,
candle=data,
candle_down=candle_low_bollinger,
candle_up=candle_high_bollinger)
call_buy_locs = results_list[0]
call_buy_price = results_list[1]
def slinger(ax, datafile, ticker, put_parameters, call_parameters):
time = datafile[ticker]['datetime'][...]
data_open = datafile[ticker]['open'][...]
data_high = datafile[ticker]['high'][...]
data_low = datafile[ticker]['low'][...]
data_volume = datafile[ticker]['volume'][...]
datafile.close()
tradeable = Analytics.market_hours(t=time)
print(np.sum(tradeable))
candle = Analytics.candle_avg(open=data_open, high=data_high, low=data_low)
candle_low_bollinger, candle_high_bollinger = Analytics.candle_bollinger_bands(
open=data_open,
high=data_high,
low=data_low,
average=candle,
period=30)
period = 30
sma = Analytics.moving_average(data=candle, period=period)
sma_short = Analytics.exp_moving_average(data=candle,
alpha=.1,
period=period // 3)
sma_low_bollinger, sma_high_bollinger = Analytics.bollinger_bands(
data=sma_short, average=sma)
sma_d = Analytics.derivative(sma, period=period // 6)
# sma_d = Analytics.moving_average(sma_d, period=period // 6)
sma_dd = Analytics.second_derivative(sma, period=period)
results_list = SMA_chaser.put_chaser_strat(
time=time,
sma=sma,
bollinger_up=sma_high_bollinger,
bollinger_down=sma_low_bollinger,
sma_d=sma_d,
candle=candle,
candle_high=candle_high_bollinger,
candle_low=candle_low_bollinger,
parameters=put_parameters)
put_buy_locs = results_list[0]
put_buy_price = results_list[1]
# print(put_buy_price)
put_buy_option_price = results_list[2]
print(put_buy_option_price)
put_sell_locs = results_list[3]
put_sell_price = results_list[4]
# print(put_sell_price)
put_sell_option_price = results_list[5]
print(put_sell_option_price)
put_profits = (put_sell_option_price - put_buy_option_price)
put_percent = (put_sell_option_price -
put_buy_option_price) / put_buy_option_price
print(put_percent)
put_percent_avg = np.sum(put_percent) / put_percent.shape[0]
print(put_percent_avg)
# return_list.append(put_percent)
# return_list.append(put_percent_avg)
focus_top = time.shape[0] - 60 * 48
focus_bot = time.shape[0] + 1
focus_top = 0
focus_bot = time.shape[0] + 1
candle_rescaled = candle - np.sum(candle) / sma.shape[0]
candle_rescaled = candle_rescaled / np.abs(candle_rescaled).max()
sma_rescaled = sma - np.sum(sma) / sma.shape[0]
sma_rescaled = sma_rescaled / np.abs(sma_rescaled).max()
Bollinger_oscillator = 2 * (
sma_short - sma) / np.absolute(sma_high_bollinger - sma_low_bollinger)
'''
ax[0].plot(time[focus_top:focus_bot], candle_rescaled, label='candle')
ax[0].plot(time[focus_top:focus_bot], sma_rescaled, label='sma')
ax[0].plot(time[focus_top:focus_bot], sma_d[focus_top:focus_bot] / np.abs(sma_d).max(), label='sma_d')
ax[0].plot(time[focus_top:focus_bot], sma_dd[focus_top:focus_bot] / np.abs(sma_dd).max(), label='sma_dd')
ax[0].legend()
'''
#################################################################################
# plt.figure(figsize=(20, 10))
# plt.suptitle('profitable trades')
# ax[0].plot(time[tradeable], data_volume[tradeable], '.')
ax_twin = ax[0].twinx()
ax_twin.plot(time[tradeable], sma_d[tradeable])
ax[0].plot(time[tradeable],
candle[tradeable],
'.',
label=str(put_percent_avg))
ax[0].plot(time[tradeable], sma[tradeable])
ax[0].plot(time[tradeable], sma_low_bollinger[tradeable])
ax[0].plot(time[tradeable], sma_high_bollinger[tradeable])
ax[0].plot(time[tradeable], candle_low_bollinger[tradeable])
ax[0].plot(time[tradeable], candle_high_bollinger[tradeable])
profit_put_buy_locs = put_buy_locs[put_profits >= 0]
put_cut = profit_put_buy_locs[profit_put_buy_locs > focus_top]
ax[0].plot(time[put_cut], candle[put_cut], '>', color='r')
profit_put_sell_locs = put_sell_locs[put_profits >= 0]
put_cut = profit_put_sell_locs[profit_put_sell_locs > focus_top]
ax[0].plot(time[put_cut], candle[put_cut], '<', color='g')
ax[0].legend()
#################################################################################
# plt.figure(figsize=(20, 10))
# plt.suptitle('loss trades')
# ax[1].plot(time, data_volume, '.')
ax[1].plot(time[tradeable],
candle[tradeable],
'.',
label=str(put_percent_avg))
ax[1].plot(time[tradeable], sma[tradeable])
ax[1].plot(time[tradeable], sma_low_bollinger[tradeable])
ax[1].plot(time[tradeable], sma_high_bollinger[tradeable])
ax[1].plot(time[tradeable], candle_low_bollinger[tradeable])
ax[1].plot(time[tradeable], candle_high_bollinger[tradeable])
loss_put_buy_locs = put_buy_locs[put_profits < 0]
put_cut = loss_put_buy_locs[loss_put_buy_locs > focus_top]
ax[1].plot(time[put_cut], candle[put_cut], '>', color='r')
loss_put_sell_locs = put_sell_locs[put_profits < 0]
put_cut = loss_put_sell_locs[loss_put_sell_locs > focus_top]
ax[1].plot(time[put_cut], candle[put_cut], '<', color='g')
ax[1].legend()
results_list = SMA_chaser.call_chaser_strat(
time=time,
sma=sma,
bollinger_up=sma_high_bollinger,
bollinger_down=sma_low_bollinger,
sma_d=sma_d,
candle=candle,
candle_high=candle_high_bollinger,
candle_low=candle_low_bollinger,
parameters=call_parameters)
call_buy_option_price = results_list[2]
print(put_buy_option_price)
call_sell_option_price = results_list[5]
print(put_sell_option_price)
call_percent = (call_sell_option_price -
call_buy_option_price) / call_buy_option_price
print(call_percent)
call_percent_avg = np.sum(call_percent) / call_percent.shape[0]
print(call_percent_avg)
percent_profits = np.concatenate((put_percent, call_percent))
print(percent_profits)
average_profit = np.sum(percent_profits) / percent_profits.shape[0]
print(average_profit)
return call_percent_avg
def compute_analytics(self, data):
# if not self.validate_compute_dict(self.compute_dict):
# return False
self.data = data
self.compute[enums.ComputeKeys.datetime] = np.array(
data['datetime'].tolist())
self.num_datapoints = int(
self.compute[enums.ComputeKeys.datetime].shape[0])
self.compute[enums.ComputeKeys.candle] = Analytics.candle_avg(
open=np.array(data['open'].tolist()),
high=np.array(data['high'].tolist()),
low=np.array(data['low'].tolist()))
self.compute[enums.ComputeKeys.tradeable] = Analytics.market_hours(
self.compute[enums.ComputeKeys.datetime])
for key, val in self.compute_dict.items():
if key is enums.ComputeKeys.sma:
if isinstance(val, list):
self.compute[key] = []
for period in val:
self.compute[key].append(
Analytics.moving_average(
data=self.compute[enums.ComputeKeys.candle],
period=period))
else:
continue
if key is enums.ComputeKeys.derivative:
if isinstance(self.compute_dict[key], list):
self.compute[key] = []
for sma_period, deriv_period in val:
local_sma = Analytics.moving_average(
data=self.compute[enums.ComputeKeys.candle],
period=sma_period)
self.compute[key].append(
Analytics.derivative(data=local_sma,
period=deriv_period))
else:
continue
if key is enums.ComputeKeys.Bollinger:
if isinstance(val, list):
self.compute[key] = []
for anchor_period, oscillator_period, Bollinger_period in val:
local_anchor = Analytics.moving_average(
data=self.compute[enums.ComputeKeys.candle],
period=anchor_period)
local_oscillator = Analytics.moving_average(
data=self.compute[enums.ComputeKeys.candle],
period=oscillator_period)
self.compute[key].append(
Analytics.bollinger_bands(data=local_oscillator,
average=local_anchor,
period=Bollinger_period))
self.analytics_up_to_date = True
return True
def slinger(ax, datafile, ticker, parameters):
time = datafile[ticker]['datetime'][...]
data_open = datafile[ticker]['open'][...]
data_high = datafile[ticker]['high'][...]
data_low = datafile[ticker]['low'][...]
data_volume = datafile[ticker]['volume'][...]
datafile.close()
tradeable = Analytics.market_hours(t=time)
print(np.sum(tradeable))
candle = Analytics.candle_avg(open=data_open, high=data_high, low=data_low)
candle_low_bollinger, candle_high_bollinger = Analytics.candle_bollinger_bands(
open=data_open,
high=data_high,
low=data_low,
average=candle,
period=30)
period = 30
sma = Analytics.moving_average(data=candle, period=period)
sma_short = Analytics.moving_average(data=candle, period=period // 3)
sma_low_bollinger, sma_high_bollinger = Analytics.bollinger_bands(
data=sma_short, average=sma)
sma_d = Analytics.derivative(sma, period=period // 6)
# sma_d = Analytics.moving_average(sma_d, period=period // 6)
sma_dd = Analytics.second_derivative(sma, period=period)
day_volatility = Analytics.day_volatility(data=candle, tradeable=tradeable)
print('day volatility: {}'.format(day_volatility))
# find the best strategy of given strategies:
performance_list = []
# parameters['option_type'] = position_class.OptionType.PUT
for parameter in parameters:
parameter['VIX'] = day_volatility
results_list = PutSlingerBollinger.Bollinger_strat(
time=time,
sma=sma,
sma_short=sma_short,
bollinger_up=sma_high_bollinger,
bollinger_down=sma_low_bollinger,
sma_d=sma_d,
candle=candle,
candle_high=candle_high_bollinger,
candle_low=candle_low_bollinger,
parameters=parameter)
put_buy_option_price = results_list[2]
put_sell_option_price = results_list[5]
put_percent = (put_sell_option_price -
put_buy_option_price) / put_buy_option_price
put_percent[
put_percent > 5] = 5 # put an upper bound on the option returns.
put_percent_avg = np.sum(put_percent) / put_percent.shape[0]
performance_list.append(put_percent_avg)
performance_array = np.array(performance_list)
print('performance_array: {}'.format(performance_array))
best_perf_loc = np.where(
performance_array == performance_array.max())[0][0]
# hack the parameters to be the best choice for the rest of the function, this keeps recoding to a minimum:
parameter = parameters[best_perf_loc]
parameter = parameters[0]
results_list = PutSlingerBollinger.Bollinger_strat(
time=time,
sma=sma,
sma_short=sma_short,
bollinger_up=sma_high_bollinger,
bollinger_down=sma_low_bollinger,
sma_d=sma_d,
candle=candle,
candle_high=candle_high_bollinger,
candle_low=candle_low_bollinger,
parameters=parameter)
put_buy_locs = results_list[0]
put_buy_price = results_list[1]
put_buy_option_price = results_list[2]
put_sell_locs = results_list[3]
put_sell_price = results_list[4]
put_sell_option_price = results_list[5]
position_value = results_list[7]
print('stock price at open: {}'.format(put_buy_price))
print('strike price: {}'.format(results_list[6]))
print('stock price at close: {}'.format(put_sell_price))
print('option cost at open: {}'.format(put_buy_option_price))
print('option cost at close: {}'.format(put_sell_option_price))
put_profits = (put_sell_option_price - put_buy_option_price)
put_percent = (put_sell_option_price -
put_buy_option_price) / put_buy_option_price
print('option % gain: {}'.format(put_percent))
put_percent[
put_percent > 5] = 5 # put an upper bound on the option returns.
print('position values: {}'.format(position_value))
account_value = np.sum(position_value)
print('account value ate EOD: {}'.format(account_value))
# put_percent_avg = np.sum(put_percent) / put_percent.shape[0]
put_percent_avg = np.sum(account_value) - 1
print('average option % gain: {}'.format(put_percent_avg))
results_list.append(put_percent)
results_list.append(put_percent_avg)
focus_top = time.shape[0] - 60 * 48
focus_bot = time.shape[0] + 1
focus_top = 0
focus_bot = time.shape[0] + 1
candle_rescaled = candle - np.sum(candle) / sma.shape[0]
candle_rescaled = candle_rescaled / np.abs(candle_rescaled).max()
sma_rescaled = sma - np.sum(sma) / sma.shape[0]
sma_rescaled = sma_rescaled / np.abs(sma_rescaled).max()
Bollinger_oscillator = 2 * (
sma_short - sma) / np.absolute(sma_high_bollinger - sma_low_bollinger)
minute_time = Analytics.minute_time(time)
# print(minute_time)
'''
ax[0].plot(time[focus_top:focus_bot], candle_rescaled, label='candle')
ax[0].plot(time[focus_top:focus_bot], sma_rescaled, label='sma')
ax[0].plot(time[focus_top:focus_bot], sma_d[focus_top:focus_bot] / np.abs(sma_d).max(), label='sma_d')
ax[0].plot(time[focus_top:focus_bot], sma_dd[focus_top:focus_bot] / np.abs(sma_dd).max(), label='sma_dd')
ax[0].legend()
'''
#################################################################################
# plt.figure(figsize=(20, 10))
# plt.suptitle('profitable trades')
# ax[0].plot(time[tradeable], data_volume[tradeable], '.')
ax_twin = ax[0].twinx()
ax_twin.plot(minute_time[tradeable], Bollinger_oscillator[tradeable])
ax_twin.plot(minute_time[tradeable],
np.ones_like(minute_time[tradeable]) *
parameter['Bollinger_top'],
color='k')
ax_twin.plot(minute_time[tradeable],
np.ones_like(minute_time[tradeable]) *
parameter['Bollinger_bot'],
color='k')
ax[0].plot(minute_time[tradeable],
candle[tradeable],
'.',
label=str(put_percent_avg))
ax[0].plot(minute_time[tradeable], sma[tradeable])
ax[0].plot(minute_time[tradeable], sma_low_bollinger[tradeable])
ax[0].plot(minute_time[tradeable], sma_high_bollinger[tradeable])
ax[0].plot(minute_time[tradeable], candle_low_bollinger[tradeable])
ax[0].plot(minute_time[tradeable], candle_high_bollinger[tradeable])
profit_put_buy_locs = put_buy_locs[put_profits >= 0]
put_cut = profit_put_buy_locs[profit_put_buy_locs > focus_top]
ax[0].plot(minute_time[put_cut], candle[put_cut], '>', color='k')
profit_put_sell_locs = put_sell_locs[put_profits >= 0]
put_cut = profit_put_sell_locs[profit_put_sell_locs > focus_top]
ax[0].plot(minute_time[put_cut], candle[put_cut], '<', color='k')
ax[0].legend()
#################################################################################
# plt.figure(figsize=(20, 10))
# plt.suptitle('loss trades')
# ax[1].plot(minute_time, data_volume, '.')
ax_twin = ax[1].twinx()
ax_twin.plot(minute_time[tradeable], Bollinger_oscillator[tradeable])
ax_twin.plot(minute_time[tradeable],
np.ones_like(minute_time[tradeable]) *
parameter['Bollinger_top'],
color='k')
ax_twin.plot(minute_time[tradeable],
np.ones_like(minute_time[tradeable]) *
parameter['Bollinger_bot'],
color='k')
ax[1].plot(minute_time[tradeable],
candle[tradeable],
'.',
label=str(put_percent_avg))
ax[1].plot(minute_time[tradeable], sma[tradeable])
ax[1].plot(minute_time[tradeable], sma_low_bollinger[tradeable])
ax[1].plot(minute_time[tradeable], sma_high_bollinger[tradeable])
ax[1].plot(minute_time[tradeable], candle_low_bollinger[tradeable])
ax[1].plot(minute_time[tradeable], candle_high_bollinger[tradeable])
loss_put_buy_locs = put_buy_locs[put_profits < 0]
put_cut = loss_put_buy_locs[loss_put_buy_locs > focus_top]
ax[1].plot(minute_time[put_cut], candle[put_cut], '>', color='k')
loss_put_sell_locs = put_sell_locs[put_profits < 0]
put_cut = loss_put_sell_locs[loss_put_sell_locs > focus_top]
ax[1].plot(minute_time[put_cut], candle[put_cut], '<', color='k')
ax[1].legend()
return put_percent_avg, performance_array
data_low = datafile[group_choice]['low'][...]
datafile.close()
tradeable = Analytics.market_hours(t=time)
print(np.sum(tradeable))
candle = Analytics.candle_avg(open=data_open, high=data_high, low=data_low)
candle_low_bollinger, candle_high_bollinger = Analytics.candle_bollinger_bands(open=data_open,
high=data_high,
low=data_low,
average=candle,
period=30)
period = 30
sma = Analytics.moving_average(data=candle, period=period)
sma_short = Analytics.moving_average(data=candle, period=period // 3)
sma_low_bollinger, sma_high_bollinger = Analytics.bollinger_bands(data=sma_short, average=sma)
sma_d = Analytics.derivative(sma, period=period // 6)
# sma_d = Analytics.moving_average(sma_d, period=period // 6)
sma_dd = Analytics.second_derivative(sma, period=period)
parameter = {'Bollinger_top': .0,
'Bollinger_bot': -2.0,
'stop_loss': .8,
'profit': .8,
'flip': 1,
'option_type': position_class.OptionType.CALL}
results_list = Bollinger_strat(time=time,
sma=sma,
sma_short=sma_short,
bollinger_up=sma_high_bollinger,
bollinger_down=sma_low_bollinger,
data_open = datafile[group_choice]['open'][...]
data_high = datafile[group_choice]['high'][...]
data_low = datafile[group_choice]['low'][...]
datafile.close()
data = Analytics.candle_avg(open=data_open, high=data_high, low=data_low)
candle_low_bollinger, candle_high_bollinger = Analytics.candle_bollinger_bands(open=data_open,
high=data_high,
low=data_low,
average=data,
period=30)
period = 60
sma = Analytics.moving_average(data=data, period=period)
# sma = Analytics.exp_moving_average(data=data, alpha=.1, period=30)
sma_low_bollinger, sma_high_bollinger = Analytics.bollinger_bands(data=data, average=sma)
sma_d = Analytics.derivative(data, period=period)
sma_dd = Analytics.derivative(data, period=period // 4)
results_list = SMA_strat(time=time,
sma=sma,
sma_d=sma_d,
sma_dd=sma_dd,
candle=data,
candle_high=candle_low_bollinger,
candle_low=candle_high_bollinger,
stop_loss=.5,
profit=30.0)
open_position_list = results_list[0]
put_buy_locs = results_list[1]
put_buy_price = results_list[2]
def DataAnalysis(filedirectory='../StockData/'):
result_list = []
meta_result_list = []
for direntry in os.scandir(filedirectory):
result_dict = {}
meta_result_dict = {}
if direntry.is_dir():
continue
if direntry.is_file():
filepath = direntry.path
print(filepath)
try:
datafile = h5py.File(filepath)
except:
print('could not open file: {}'.format(filepath))
continue
time_data = datafile['SPY']['datetime'][...]
if time_data.shape[0] == 0:
print('no \'SPY\' data in file: {}'.format(filepath))
continue
clock_list = []
market_hours_list = []
for i, t in enumerate(time_data):
# gm_time = tm.gmtime(t * 1e-3)
utc_time = arrow.get(t * 1e-3).to('utc')
utc_time = utc_time.shift(
hours=-4) # must explicitely shift time for numpy to recognize
market_open = utc_time.replace(hour=9,
minute=30,
second=0,
microsecond=0)
market_close = utc_time.replace(hour=16,
minute=0,
second=0,
microsecond=0)
open_delta = utc_time - market_open
close_delta = market_close - utc_time
# nyt_time = utc_time.to('America/New_York')
clock_list.append(open_delta.total_seconds())
if open_delta.total_seconds() >= 0 and close_delta.total_seconds(
) >= 0:
market_hours_list.append(True)
else:
market_hours_list.append(False)
if i == time_data.shape[0] // 2:
meta_result_dict['date_list'] = utc_time.date()
# print(clock_list)
meta_result_dict['clocktime'] = np.array(clock_list)
meta_result_dict['tradeable'] = np.array(market_hours_list,
dtype=np.bool)
open_data = datafile['SPY']['open'][...]
high_data = datafile['SPY']['high'][...]
low_data = datafile['SPY']['low'][...]
period = 5
result_dict['candle_average'] = Analytics.candle_avg(open=open_data,
high=high_data,
low=low_data)
result_dict['moving_average'] = Analytics.moving_average(
data=result_dict['candle_average'], period=period)
result_dict['mvg_avg_d'] = Analytics.derivative(
data=result_dict['moving_average'], period=period)
result_dict['mvg_avg_dd'] = Analytics.second_derivative(
data=result_dict['moving_average'], period=period)
meta_result_list.append(meta_result_dict)
result_list.append(result_dict)
datafile.close()
print('number of \'SPY\' days found: {}'.format(len(result_list)))
# print(str(date_list[0]))
fig, axs = plt.subplots(nrows=len(result_list),
ncols=len(result_list[0]),
figsize=(20, 40))
# print(axs.shape)
for i, meta_result_dict, result_dict in zip(np.arange(len(result_list)),
meta_result_list, result_list):
# print(result_dict.keys())
for j, key in enumerate(result_dict.keys()):
# print(result_dict[key])
axs[i, j].hist(result_dict[key], bins=30)
# axs[i, j].legend()
if i == 0:
axs[i, j].set_title(key)
if j == 0:
axs[i, j].set_ylabel(str(meta_result_dict['date_list']),
rotation=90,
size='large')
# axs[i].set_xlim(left=(9 * 3600 + 30 * 60), right=(16 * 3600))
# axs[i, j].set_xlim(left=(-30 * 60), right=(6 * 3600 + 30 * 60))
# axs[i].set_xticks(np.arange(8)*3600)
# axs[i].set_xticklabels(map(str, np.arange(8)+9))
plt.tight_layout()
# plt.figure(figsize=(10, 10))
# for i, clocktime, candle_average in zip(np.arange(len(clocktime_list)), clocktime_list, candle_average_list):
# plt.plot(clocktime, candle_average / np.max(np.abs(candle_average)))
return
