polars_parquet/parquet/encoding/delta_bitpacked/
mod.rs

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mod decoder;
mod encoder;

pub(crate) use decoder::{Decoder, SumGatherer};
pub(crate) use encoder::encode;

/// The sum of `start, start + delta, start + 2 * delta, ... len times`.
pub(crate) fn lin_natural_sum(start: i64, delta: i64, len: usize) -> i64 {
    debug_assert!(len < i64::MAX as usize);

    let base = start * len as i64;
    let sum = if len == 0 {
        0
    } else {
        let is_odd = len & 1;
        // SUM_i=0^n f * i = f * (n(n+1)/2)
        let sum = (len >> (is_odd ^ 1)) * (len.wrapping_sub(1) >> is_odd);
        delta * sum as i64
    };

    base + sum
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::parquet::error::{ParquetError, ParquetResult};

    #[test]
    fn linear_natural_sum() {
        assert_eq!(lin_natural_sum(0, 0, 0), 0);
        assert_eq!(lin_natural_sum(10, 4, 0), 0);
        assert_eq!(lin_natural_sum(0, 1, 1), 0);
        assert_eq!(lin_natural_sum(0, 1, 3), 3);
        assert_eq!(lin_natural_sum(0, 1, 4), 6);
        assert_eq!(lin_natural_sum(0, 2, 3), 6);
        assert_eq!(lin_natural_sum(2, 2, 3), 12);
    }

    #[test]
    fn basic() -> Result<(), ParquetError> {
        let data = vec![1, 3, 1, 2, 3];

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);
        Ok(())
    }

    #[test]
    fn negative_value() -> Result<(), ParquetError> {
        let data = vec![1, 3, -1, 2, 3];

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);
        Ok(())
    }

    #[test]
    fn some() -> Result<(), ParquetError> {
        let data = vec![
            -2147483648,
            -1777158217,
            -984917788,
            -1533539476,
            -731221386,
            -1322398478,
            906736096,
        ];

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);
        Ok(())
    }

    #[test]
    fn more_than_one_block() -> Result<(), ParquetError> {
        let mut data = vec![1, 3, -1, 2, 3, 10, 1];
        for x in 0..128 {
            data.push(x - 10)
        }

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);
        Ok(())
    }

    #[test]
    fn test_another() -> Result<(), ParquetError> {
        let data = vec![2, 3, 1, 2, 1];

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);

        Ok(())
    }

    #[test]
    fn overflow_constant() -> ParquetResult<()> {
        let data = vec![i64::MIN, i64::MAX, i64::MIN, i64::MAX];

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);

        Ok(())
    }

    #[test]
    fn overflow_vary() -> ParquetResult<()> {
        let data = vec![
            0,
            i64::MAX,
            i64::MAX - 1,
            i64::MIN + 1,
            i64::MAX,
            i64::MIN + 2,
        ];

        let mut buffer = vec![];
        encode(data.clone().into_iter(), &mut buffer, 1);
        let (iter, _) = Decoder::try_new(&buffer)?;

        let result = iter.collect::<Vec<_>>()?;
        assert_eq!(result, data);

        Ok(())
    }
}