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| import polars as pl | |
| import numpy as np | |
| def feature_engineering(df: pl.DataFrame) -> pl.DataFrame: | |
| # Extract the year from the game_date column | |
| df = df.with_columns( | |
| pl.col('game_date').str.slice(0, 4).alias('year') | |
| ) | |
| df = df.with_columns([ | |
| (-(pl.col('vy0')**2 - (2 * pl.col('ay') * (pl.col('y0') - 17/12)))**0.5).alias('vy_f'), | |
| ]) | |
| df = df.with_columns([ | |
| ((pl.col('vy_f') - pl.col('vy0')) / pl.col('ay')).alias('t'), | |
| ]) | |
| df = df.with_columns([ | |
| (pl.col('vz0') + (pl.col('az') * pl.col('t'))).alias('vz_f'), | |
| (pl.col('vx0') + (pl.col('ax') * pl.col('t'))).alias('vx_f') | |
| ]) | |
| df = df.with_columns([ | |
| (-np.arctan(pl.col('vz_f') / pl.col('vy_f')) * (180 / np.pi)).alias('vaa'), | |
| (-np.arctan(pl.col('vx_f') / pl.col('vy_f')) * (180 / np.pi)).alias('haa') | |
| ]) | |
| # Mirror horizontal break for left-handed pitchers | |
| df = df.with_columns( | |
| pl.when(pl.col('pitcher_hand') == 'L') | |
| .then(-pl.col('ax')) | |
| .otherwise(pl.col('ax')) | |
| .alias('ax') | |
| ) | |
| # Mirror horizontal break for left-handed pitchers | |
| df = df.with_columns( | |
| pl.when(pl.col('pitcher_hand') == 'L') | |
| .then(-pl.col('hb')) | |
| .otherwise(pl.col('hb')) | |
| .alias('hb') | |
| ) | |
| # Mirror horizontal release point for left-handed pitchers | |
| df = df.with_columns( | |
| pl.when(pl.col('pitcher_hand') == 'L') | |
| .then(pl.col('x0')) | |
| .otherwise(-pl.col('x0')) | |
| .alias('x0') | |
| ) | |
| # Define the pitch types to be considered | |
| pitch_types = ['SI', 'FF', 'FC'] | |
| # Filter the DataFrame to include only the specified pitch types | |
| df_filtered = df.filter(pl.col('pitch_type').is_in(pitch_types)) | |
| # Group by pitcher_id and year, then aggregate to calculate average speed and usage percentage | |
| df_agg = df_filtered.group_by(['pitcher_id', 'year', 'pitch_type']).agg([ | |
| pl.col('start_speed').mean().alias('avg_fastball_speed'), | |
| pl.col('az').mean().alias('avg_fastball_az'), | |
| pl.col('ax').mean().alias('avg_fastball_ax'), | |
| pl.len().alias('count') | |
| ]) | |
| # Sort the aggregated data by count and average fastball speed | |
| df_agg = df_agg.sort(['count', 'avg_fastball_speed'], descending=[True, True]) | |
| df_agg = df_agg.unique(subset=['pitcher_id', 'year'], keep='first') | |
| # Join the aggregated data with the main DataFrame | |
| df = df.join(df_agg, on=['pitcher_id', 'year']) | |
| # If no fastball, use the fastest pitch for avg_fastball_speed | |
| df = df.with_columns( | |
| pl.when(pl.col('avg_fastball_speed').is_null()) | |
| .then(pl.col('start_speed').max().over('pitcher_id')) | |
| .otherwise(pl.col('avg_fastball_speed')) | |
| .alias('avg_fastball_speed') | |
| ) | |
| # If no fastball, use the fastest pitch for avg_fastball_az | |
| df = df.with_columns( | |
| pl.when(pl.col('avg_fastball_az').is_null()) | |
| .then(pl.col('az').max().over('pitcher_id')) | |
| .otherwise(pl.col('avg_fastball_az')) | |
| .alias('avg_fastball_az') | |
| ) | |
| # If no fastball, use the fastest pitch for avg_fastball_ax | |
| df = df.with_columns( | |
| pl.when(pl.col('avg_fastball_ax').is_null()) | |
| .then(pl.col('ax').max().over('ax')) | |
| .otherwise(pl.col('avg_fastball_ax')) | |
| .alias('avg_fastball_ax') | |
| ) | |
| # Calculate pitch differentials | |
| df = df.with_columns( | |
| (pl.col('start_speed') - pl.col('avg_fastball_speed')).alias('speed_diff'), | |
| (pl.col('az') - pl.col('avg_fastball_az')).alias('az_diff'), | |
| (pl.col('ax') - pl.col('avg_fastball_ax')).abs().alias('ax_diff') | |
| ) | |
| # Cast the year column to integer type | |
| df = df.with_columns( | |
| pl.col('year').cast(pl.Int64) | |
| ) | |
| df = df.with_columns([ | |
| pl.lit('All').alias('all') | |
| ]) | |
| return df |