/**
 * Performs a polar decomposition of a 2x2 matrix, returning only the rotation matrix (R).
 * This function is optimized for speed and assumes the input matrix `m` is stored in a flattened,
 * transposed format (consistent with the Taichi programming language convention).
 * It decomposes `m` into R, such that m = R * S, where R is a 2x2 rotation matrix.
 * The symmetric matrix S is *not* computed. This version is optimized
 * for cases where only the rotational component (R) is needed.
 *
 * @param {number[]} R Output: 2x2 rotation matrix, stored as a flattened array [c, s, -s, c],
 *  where 'c' is the cosine and 's' is the sine of the rotation angle.  Modified in-place.
 * @param {number[]} m Input: 2x2 matrix, stored as a flattened, *transposed* array [a, b, c, d],
 *  representing the matrix [[a, c], [b, d]].
 */
export function m2_polar_decomp_noS(R: number[], m: number[]): void;
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