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    use num::One;

    use alga::general::RealField;

    use crate::base::allocator::Allocator;
    use crate::base::dimension::{DimNameAdd, DimNameSum, U1};
    use crate::base::{DefaultAllocator, MatrixN};

    use crate::geometry::{TCategory, Transform};

    impl<N: RealField, D: DimNameAdd<U1>, C: TCategory> Transform<N, D, C>
    where DefaultAllocator: Allocator<N, DimNameSum<D, U1>, DimNameSum<D, U1>>
    {
        /// Creates a new identity transform.
        ///
        /// # Example
        ///
        /// ```
        /// # use nalgebra::{Transform2, Projective2, Affine2, Transform3, Projective3, Affine3, Point2, Point3};
        ///
        /// let pt = Point2::new(1.0, 2.0);
        /// let t = Projective2::identity();
        /// assert_eq!(t * pt, pt);
        ///
        /// let aff = Affine2::identity();
        /// assert_eq!(aff * pt, pt);
        ///
        /// let aff = Transform2::identity();
        /// assert_eq!(aff * pt, pt);
        ///
        /// // Also works in 3D.
        /// let pt = Point3::new(1.0, 2.0, 3.0);
        /// let t = Projective3::identity();
        /// assert_eq!(t * pt, pt);
        ///
        /// let aff = Affine3::identity();
        /// assert_eq!(aff * pt, pt);
        ///
        /// let aff = Transform3::identity();
        /// assert_eq!(aff * pt, pt);
        /// ```
        #[inline]
        pub fn identity() -> Self {
            Self::from_matrix_unchecked(MatrixN::<_, DimNameSum<D, U1>>::identity())
        }
    }

    impl<N: RealField, D: DimNameAdd<U1>, C: TCategory> One for Transform<N, D, C>
    where DefaultAllocator: Allocator<N, DimNameSum<D, U1>, DimNameSum<D, U1>>
    {
        /// Creates a new identity transform.
        #[inline]
        fn one() -> Self {
            Self::identity()
        }
    }

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