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User: User: Correct the code below: 

# Function to identify 'W' and 'M' patterns
def identify_patterns(candlestick_data, window=10, smoothing=5):
    """
    Identify 'M' and 'W' patterns in the given candlestick data.

    Parameters:
    - candlestick_data: DataFrame with columns ['Time', 'Open', 'High', 'Low', 'Close', 'Volume']
    - window: Window size for identifying local minima and maxima
    - smoothing: Smoothing factor for the moving average

    Returns:
    - DataFrame with additional columns ['W', 'M']
    """
    # Calculate the moving average for smoothing
    candlestick_data['SMA'] = candlestick_data['Close'].rolling(window=smoothing).mean()

    # Identify local minima and maxima
    local_minima = argrelextrema(candlestick_data['SMA'].values, np.less_equal, order=window)[0]
    local_maxima = argrelextrema(candlestick_data['SMA'].values, np.greater_equal, order=window)[0]

    # Initialize W and M pattern columns
    candlestick_data['W'] = False
    candlestick_data['M'] = False

    # Function to check if a pattern is a 'W' or 'M'
    def is_w_pattern(minima, maxima, data):
        if len(minima) == 3 and len(maxima) == 2:
            # Check if the pattern is a 'W' pattern
            if (data['SMA'].iloc[minima[0]] < data['SMA'].iloc[maxima[0]] and
                data['SMA'].iloc[maxima[0]] > data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
                data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] < data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
                data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] > data['SMA'].iloc[minima <sup><a href="https://www.tradingview.com/scripts/zigzagindicator/" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">2</a></sup>]):
                return True
        return False

    def is_m_pattern(minima, maxima, data):
        if len(minima) == 2 and len(maxima) == 3:
            # Check if the pattern is an 'M' pattern
            if (data['SMA'].iloc[maxima[0]] > data['SMA'].iloc[minima[0]] and
                data['SMA'].iloc[minima[0]] < data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
                data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] > data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
                data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] < data['SMA'].iloc[maxima <sup><a href="https://www.tradingview.com/scripts/zigzagindicator/" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">2</a></sup>]):
                return True
        return False

    # Identify 'W' and 'M' patterns
    for i in range(len(local_minima) - 2):
        minima = local_minima[i:i+3]
        maxima = local_maxima[i:i+2]
        if is_w_pattern(minima, maxima, candlestick_data):
            candlestick_data.loc[candlestick_data.index[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>], 'W'] = True

    for i in range(len(local_maxima) - 2):
        minima = local_minima[i:i+2]
        maxima = local_maxima[i:i+3]
        if is_m_pattern(minima, maxima, candlestick_data):
            candlestick_data.loc[candlestick_data.index[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>], 'M'] = True

    return candlestick_data
User: Correct the code below:

Function to identify 'W' and 'M' patterns
def identify_patterns(candlestick_data, window=10, smoothing=5): """ Identify 'M' and 'W' patterns in the given candlestick data.

Parameters:
- candlestick_data: DataFrame with columns ['Time', 'Open', 'High', 'Low', 'Close', 'Volume']
- window: Window size for identifying local minima and maxima
- smoothing: Smoothing factor for the moving average

Returns:
- DataFrame with additional columns ['W', 'M']
"""
# Calculate the moving average for smoothing
candlestick_data['SMA'] = candlestick_data['Close'].rolling(window=smoothing).mean()

# Identify local minima and maxima
local_minima = argrelextrema(candlestick_data['SMA'].values, np.less_equal, order=window)[0]
local_maxima = argrelextrema(candlestick_data['SMA'].values, np.greater_equal, order=window)[0]

# Initialize W and M pattern columns
candlestick_data['W'] = False
candlestick_data['M'] = False

# Function to check if a pattern is a 'W' or 'M'
def is_w_pattern(minima, maxima, data):
    if len(minima) == 3 and len(maxima) == 2:
        # Check if the pattern is a 'W' pattern
        if (data['SMA'].iloc[minima[0]] < data['SMA'].iloc[maxima[0]] and
            data['SMA'].iloc[maxima[0]] > data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] < data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] > data['SMA'].iloc[minima <sup><a href="https://www.tradingview.com/scripts/zigzagindicator/" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">2</a></sup>]):
            return True
    return False

def is_m_pattern(minima, maxima, data):
    if len(minima) == 2 and len(maxima) == 3:
        # Check if the pattern is an 'M' pattern
        if (data['SMA'].iloc[maxima[0]] > data['SMA'].iloc[minima[0]] and
            data['SMA'].iloc[minima[0]] < data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] > data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] < data['SMA'].iloc[maxima <sup><a href="https://www.tradingview.com/scripts/zigzagindicator/" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">2</a></sup>]):
            return True
    return False

# Identify 'W' and 'M' patterns
for i in range(len(local_minima) - 2):
    minima = local_minima[i:i+3]
    maxima = local_maxima[i:i+2]
    if is_w_pattern(minima, maxima, candlestick_data):
        candlestick_data.loc[candlestick_data.index[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>], 'W'] = True

for i in range(len(local_maxima) - 2):
    minima = local_minima[i:i+2]
    maxima = local_maxima[i:i+3]
    if is_m_pattern(minima, maxima, candlestick_data):
        candlestick_data.loc[candlestick_data.index[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>], 'M'] = True

return candlestick_data
User: Correct the code below:

Function to identify 'W' and 'M' patterns
def identify_patterns(candlestick_data, window=10, smoothing=5): """ Identify 'M' and 'W' patterns in the given candlestick data.

Parameters:
- candlestick_data: DataFrame with columns ['Time', 'Open', 'High', 'Low', 'Close', 'Volume']
- window: Window size for identifying local minima and maxima
- smoothing: Smoothing factor for the moving average

Returns:
- DataFrame with additional columns ['W', 'M']
"""
# Calculate the moving average for smoothing
candlestick_data['SMA'] = candlestick_data['Close'].rolling(window=smoothing).mean()

# Identify local minima and maxima
local_minima = argrelextrema(candlestick_data['SMA'].values, np.less_equal, order=window)[0]
local_maxima = argrelextrema(candlestick_data['SMA'].values, np.greater_equal, order=window)[0]

# Initialize W and M pattern columns
candlestick_data['W'] = False
candlestick_data['M'] = False

# Function to check if a pattern is a 'W' or 'M'
def is_w_pattern(minima, maxima, data):
    if len(minima) == 3 and len(maxima) == 2:
        # Check if the pattern is a 'W' pattern
        if (data['SMA'].iloc[minima[0]] < data['SMA'].iloc[maxima[0]] and
            data['SMA'].iloc[maxima[0]] > data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] < data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] > data['SMA'].iloc[minima <sup><a href="https://www.tradingview.com/scripts/zigzagindicator/" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">2</a></sup>]):
            return True
    return False

def is_m_pattern(minima, maxima, data):
    if len(minima) == 2 and len(maxima) == 3:
        # Check if the pattern is an 'M' pattern
        if (data['SMA'].iloc[maxima[0]] > data['SMA'].iloc[minima[0]] and
            data['SMA'].iloc[minima[0]] < data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] > data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] and
            data['SMA'].iloc[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>] < data['SMA'].iloc[maxima <sup><a href="https://www.tradingview.com/scripts/zigzagindicator/" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">2</a></sup>]):
            return True
    return False

# Identify 'W' and 'M' patterns
for i in range(len(local_minima) - 2):
    minima = local_minima[i:i+3]
    maxima = local_maxima[i:i+2]
    if is_w_pattern(minima, maxima, candlestick_data):
        candlestick_data.loc[candlestick_data.index[minima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>], 'W'] = True

for i in range(len(local_maxima) - 2):
    minima = local_minima[i:i+2]
    maxima = local_maxima[i:i+3]
    if is_m_pattern(minima, maxima, candlestick_data):
        candlestick_data.loc[candlestick_data.index[maxima <sup><a href="https://medium.com/automation-generation/algorithmically-detecting-and-trading-technical-chart-patterns-with-python-c577b3a396ed" target="_blank" rel="noreferrer" style="color: rgb(59, 130, 246); text-decoration: none; hover:text-decoration: underline;">1</a></sup>], 'M'] = True

return candlestick_data
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