#[derive(Debug, PartialEq, Clone, Copy)]

pub enum SymmetryTransform {

    Id,

    Flip,

    Mirror,

    FlipMirror,

}

#[derive(Debug, PartialEq, Clone, Copy)]

pub enum Transform {

    Rotate0(SymmetryTransform),

    Rotate90(SymmetryTransform),

}

impl Default for Transform {

    fn default() -> Self {

        Transform::Rotate0(SymmetryTransform::Id)

    }

}

impl SymmetryTransform {

    pub fn mirror(&self) -> Self {

        use SymmetryTransform::*;

        match self {

            Id => Mirror,

            Flip => FlipMirror,

            Mirror => Id,

            FlipMirror => Flip,

        }

    }

    pub fn flip(&self) -> Self {

        use SymmetryTransform::*;

        match self {

            Id => Flip,

            Flip => Id,

            Mirror => FlipMirror,

            FlipMirror => Mirror,

        }

    }

    pub fn is_mirrored(&self) -> bool {

        use SymmetryTransform::*;

        match self {

            Id => false,

            Flip => false,

            Mirror => true,

            FlipMirror => true,

        }

    }

    pub fn is_flipped(&self) -> bool {

        use SymmetryTransform::*;

        match self {

            Id => false,

            Flip => true,

            Mirror => false,

            FlipMirror => true,

        }

    }

}

impl Transform {

    pub fn new() -> Self {

        Self::default()

    }

    pub fn mirror(self) -> Transform {

        match self {

            Transform::Rotate0(s) => Transform::Rotate0(s.mirror()),

            Transform::Rotate90(s) => Transform::Rotate90(s.flip()),

        }

    }

    pub fn flip(self) -> Transform {

        match self {

            Transform::Rotate0(s) => Transform::Rotate0(s.flip()),

            Transform::Rotate90(s) => Transform::Rotate90(s.mirror()),

        }

    }

    pub fn rotate90(self) -> Transform {

        match self {

            Transform::Rotate0(s) => Transform::Rotate90(s),

            Transform::Rotate90(s) => Transform::Rotate0(s.flip().mirror()),

        }

    }

    pub fn rotate180(self) -> Transform {

        match self {

            Transform::Rotate0(s) => Transform::Rotate0(s.flip().mirror()),

            Transform::Rotate90(s) => Transform::Rotate90(s.flip().mirror()),

        }

    }

    pub fn rotate270(self) -> Transform {

        match self {

            Transform::Rotate0(s) => Transform::Rotate90(s.flip().mirror()),

            Transform::Rotate90(s) => Transform::Rotate0(s),

        }

    }

    pub fn is_mirrored(&self) -> bool {

        match self {

            Transform::Rotate0(s) => s.is_mirrored(),

            Transform::Rotate90(s) => s.is_mirrored(),

        }

    }

    pub fn is_flipped(&self) -> bool {

        match self {

            Transform::Rotate0(s) => s.is_flipped(),

            Transform::Rotate90(s) => s.is_flipped(),

        }

    }

}

#[cfg(test)]

mod tests {

    use super::{SymmetryTransform::*, Transform::*, *};

    // I totally wrote all of this myself and didn't use ChatGPT

    #[test]

    fn test_default() {

        let rt = Transform::new();

        assert_eq!(rt, Rotate0(Id));

    }

    #[test]

    fn test_mirror() {

        let rt = Rotate90(Flip);

        let mirrored = rt.mirror();

        assert_eq!(mirrored, Rotate90(Id));

    }

    #[test]

    fn test_flip() {

        let rt = Transform::new().rotate180().mirror();

        let flipped = rt.flip();

        assert_eq!(flipped, Rotate0(Id));

    }

    #[test]

    fn test_rotate90() {

        let rt = Rotate0(Id);

        let rotated = rt.rotate90();

        assert_eq!(rotated, Rotate90(Id));

    }

    #[test]

    fn test_rotate180() {

        let rt = Rotate90(Mirror);

        let rotated = rt.rotate180();

        assert_eq!(rotated, Rotate90(Flip));

    }

    #[test]

    fn test_rotate270() {

        let rt = Transform::new().rotate180().flip();

        let rotated = rt.rotate270();

        assert_eq!(rotated, Rotate90(Flip));

    }

    #[test]

    fn test_rotate180_2() {

        let rt = Transform::new().rotate180();

        assert_eq!(rt, Rotate0(FlipMirror));

    }

    #[test]

    fn test_rotation_chain() {

        assert_eq!(

            Transform::default(),

            Transform::default()

                .rotate90()

                .rotate90()

                .rotate90()

                .rotate90()

        );

        assert_eq!(

            Transform::default().rotate90(),

            Transform::default().rotate180().rotate90().rotate180()

        );

        assert_eq!(

            Transform::default().rotate180(),

            Transform::default().rotate180().rotate270().rotate90()

        );

    }

    #[test]

    fn test_combinations_chain() {

        assert_eq!(

            Transform::default(),

            Transform::default().flip().rotate180().flip().rotate180()

        );

        assert_eq!(

            Transform::default(),

            Transform::default()

                .mirror()

                .rotate180()

                .mirror()

                .rotate180()

        );

        assert_eq!(

            Transform::default(),

            Transform::default()

                .rotate90()

                .flip()

                .rotate90()

                .mirror()

                .rotate180()

        );

    }

}