/**
 * Calculates cosine similarity between two vectors.
 * Measures how similar their directions are, ignoring magnitude.
 * Use for comparing semantic or normalized vectors (e.g., text embeddings).
 *
 * @public
 * @param {number[]} vecA - First vector.
 * @param {number[]} vecB - Second vector.
 * @returns {number} - Cosine similarity score between `vecA` and `vecB`.
 * @example
 * computeCosineSimilarity([1, 2, 3], [1, 2, 3]);
 * // => 1 (identical vectors)
 * computeCosineSimilarity([1, 0], [0, 1]);
 * // => 0 (orthogonal vectors)
 * computeCosineSimilarity([1, 2], [2, 3]);
 * // => 0.992...
 * computeCosineSimilarity([1, 0], [-1, 0]);
 * // => -1 (vectors diametrically opposed)
 * computeCosineSimilarity([0, 0], [1, 2]);
 * // => 0 (one vector has zero magnitude)
 */
declare function computeCosineSimilarity(vecA: number[], vecB: number[]): number;
/**
 * Calculates Euclidean distance between two vectors.
 * Measures straight-line distance considering both magnitude and direction.
 * Use for raw numeric data or spatial coordinates.
 *
 * @public
 * @param {number[]} vecA - First vector.
 * @param {number[]} vecB - Second vector.
 * @returns {number} - Euclidean distance between `vecA` and `vecB`.
 * @example
 * computeEuclideanDistance([1, 2], [4, 6]);
 * // => 5 (distance between (1,2) and (4,6))
 * computeEuclideanDistance([0, 0], [0, 0]);
 * // => 0 (identical vectors)
 * computeEuclideanDistance([1, 0], [0, 1]);
 * // => 1.414...
 * computeEuclideanDistance([1, 2, 3], [4, 5, 6]);
 * // => 5.196...
 */
declare function computeEuclideanDistance(vecA: number[], vecB: number[]): number;
/**
 * Calculates Manhattan distance between two vectors.
 * Measures sum of absolute differences.
 * Use for grid-like data or when less sensitive to large differences.
 *
 * @public
 * @param {number[]} vecA - First vector.
 * @param {number[]} vecB - Second vector.
 * @returns {number} - Manhattan distance between `vecA` and `vecB`.
 * @example
 * computeManhattanDistance([1, 2, 3], [4, 5, 6]);
 * // => 9
 * computeManhattanDistance([1, 0], [0, 1]);
 * // => 2
 * computeManhattanDistance([1, 2], [1, 2]);
 * // => 0 (identical vectors)
 * computeManhattanDistance([1, -1], [-1, 1]);
 * // => 4
 */
declare function computeManhattanDistance(vecA: number[], vecB: number[]): number;
/**
 * Normalizes a vector to unit length. If the vector has zero magnitude, returns the original vector.
 * @public
 * @param {number[]} vec - Input vector.
 * @returns {number[]} - A new vector scaled to unit length.
 * @example
 * normalizeVector([3, 4]);
 * // => [0.6, 0.8] (vector normalized to length 1)
 * normalizeVector([0, 0]);
 * // => [0, 0] (zero vector remains unchanged)
 * normalizeVector([1, 1, 1]);
 * // => [0.5773502691896258, 0.5773502691896258, 0.5773502691896258]
 */
declare function normalizeVector(vec: number[]): number[];
/**
 * Efficiently checks if a vector is L2-normalized (unit length).
 * @public
 * @param {number[]} vec - Input vector.
 * @param {number} [epsilon=1e-6] - Tolerance for floating-point comparison.
 * @returns {boolean} - True if the L2 norm is within epsilon of 1.
 * @example
 * isNormalized([1, 0]);
 * // => true (vector length is exactly 1)
 * isNormalized([0.6, 0.8]);
 * // => true (approximately unit length)
 * isNormalized([3, 4]);
 * // => false (length is 5)
 * isNormalized([0, 0]);
 * // => false (length is 0)
 */
declare function isNormalized(vec: number[], epsilon?: number): boolean;
/**
 * Computes the mean (centroid) vector from an array of vectors.
 * Assumes all vectors are of equal length.
 * @public
 * @param {number[][]} vectors - Array of input vectors.
 * @returns {number[]} - The mean vector.
 * @example
 * meanVector([[1, 2], [3, 4], [5, 6]]);
 * // => [3, 4]
 * meanVector([]);
 * // => []
 */
declare function meanVector(vectors: number[][]): number[];

/**
 * Finds the nearest neighbors to a given query embedding from a list of samples
 * based on the specified distance/similarity method.
 *
 * `'cosine'`: Cosine similarity (higher = more similar, range: [-1, 1]).
 *
 * `'euclidean'`: Euclidean distance (lower = closer, ≥ 0).
 *
 * `'manhattan'`: Manhattan distance (lower = closer, ≥ 0).
 *
 * @public
 * @param {number[]} queryEmbedding - The embedding vector to compare against.
 * @param {{ embedding: number[], label: string }[]} samples - An array of samples, each with an `embedding` and a `label`.
 * @param {object} [options={}] - Optional settings.
 * @param {number} [options.topK=1] - Number of top results to return. Default is 1.
 * @param {number} [options.threshold] - Minimum similarity score threshold for results (cosine) or maximum distance threshold (euclidean/manhattan).
 * @param {'cosine' | 'euclidean' | 'manhattan'} [options.method='cosine'] - The metric to compute:

 * @returns {{ embedding: number[], label: string, similarityScore?: number, distance?: number }[]} - An array of nearest neighbors with scores/distances.
 * @example
 * const samples = [
 *   { embedding: [1, 0], label: 'A' },
 *   { embedding: [0, 1], label: 'B' },
 *   { embedding: [1, 1], label: 'C' },
 * ];
 *
 * // Default cosine similarity
 * findNearestNeighbors([1, 0], samples);
 * // => [{ embedding: [1, 0], label: 'A', similarityScore: 1 }]
 *
 * // Euclidean distance
 * findNearestNeighbors([1, 0], samples, { method: 'euclidean', topK: 2 });
 * // => [
 * //   { embedding: [1, 0], label: 'A', distance: 0 },
 * //   { embedding: [1, 1], label: 'C', distance: 1 }
 * // ]
 *
 * // Manhattan distance with threshold
 * findNearestNeighbors([1, 0], samples, { method: 'manhattan', threshold: 1.5 });
 * // => [{ embedding: [1, 0], label: 'A', distance: 0 }, { embedding: [1, 1], label: 'C', distance: 1 }]
 *
 * // Cosine with threshold
 * findNearestNeighbors([1, 0], samples, { threshold: 0.9 });
 * // => [{ embedding: [1, 0], label: 'A', similarityScore: 1 }]
 */
declare function findNearestNeighbors(queryEmbedding: number[], samples: {
    embedding: number[];
    label: string;
}[], options?: {
    topK?: number | undefined;
    threshold?: number | undefined;
    method?: "cosine" | "euclidean" | "manhattan" | undefined;
}): {
    embedding: number[];
    label: string;
    similarityScore?: number;
    distance?: number;
}[];
/**
 * Ranks all samples by similarity/distance to the query embedding.
 * Does NOT apply threshold or topK filtering.
 * @public
 * @param {number[]} queryEmbedding - The embedding vector to compare against.
 * @param {{ embedding: number[], label: string }[]} samples - Samples with embeddings and labels.
 * @param {object} [options={}] - Optional settings.
 * @param  {'cosine' | 'euclidean' | 'manhattan'} [options.method='cosine'] - Distance/similarity method to use. Default is 'cosine'.
 * @returns {{ embedding: number[], label: string, similarityScore?: number, distance?: number }[]} Sorted by best match first.
 * @example
 * const samples = [
 *   { embedding: [1, 0], label: 'A' },
 *   { embedding: [0, 1], label: 'B' },
 *   { embedding: [1, 1], label: 'C' },
 * ];
 *
 * // Default cosine similarity
 * rankBySimilarity([1, 0], samples);
 * // => [
 * //   { embedding: [1, 0], label: 'A', similarityScore: 1 },
 * //   { embedding: [1, 1], label: 'C', similarityScore: 0.707... },
 * //   { embedding: [0, 1], label: 'B', similarityScore: 0 }
 * // ]
 *
 * // Euclidean distance
 * rankBySimilarity([1, 0], samples, { method: 'euclidean' });
 * // => [
 * //   { embedding: [1, 0], label: 'A', distance: 0 },
 * //   { embedding: [1, 1], label: 'C', distance: 1 },
 * //   { embedding: [0, 1], label: 'B', distance: 1.414... }
 * // ]
 *
 * // Manhattan distance
 * rankBySimilarity([0, 1], samples, { method: 'manhattan' });
 * // => [
 * //   { embedding: [0, 1], label: 'B', distance: 0 },
 * //   { embedding: [1, 1], label: 'C', distance: 1 },
 * //   { embedding: [1, 0], label: 'A', distance: 2 }
 * // ]
 */
declare function rankBySimilarity(queryEmbedding: number[], samples: {
    embedding: number[];
    label: string;
}[], options?: {
    method?: "cosine" | "euclidean" | "manhattan" | undefined;
}): {
    embedding: number[];
    label: string;
    similarityScore?: number;
    distance?: number;
}[];

export { computeCosineSimilarity, computeEuclideanDistance, computeManhattanDistance, findNearestNeighbors, isNormalized, meanVector, normalizeVector, rankBySimilarity };