"""Perform average / max pooling on a matrix""" from dataclasses import dataclass from random import Random from typing import Any, Optional import numpy as np from ..factory import ProceduralDataset, register_dataset QUESTION_TEMPLATE = """Your job is to perform max/average pooling on the given matrix. The stride is equal to the kernel size, meaning there is no overlap between the pooling regions. Example 1: - Input: Perform max pooling on the following matrix with a kernel size of 2: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 - Output: 6 8 14 16 Example 2: - Input: Perform average pooling on the following matrix with a kernel size of 2: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 - Output: 3.5 5.5 11.5 13.5 Perform {pool_type} pooling on the following matrix with a kernel size of {pool_size}: {matrix} """ @dataclass class PoolMatrixConfig: """Configuration for Pool Matrix dataset generation""" min_rows: int = 2 # Minimum rows of the matrix min_cols: int = 2 # Minimum columns of the matrix max_rows: int = 10 # Maximum rows of the matrix max_cols: int = 10 # Maximum columns of the matrix max_pool_size: int = 3 # Maximum pooling size size: int = 500 # Virtual dataset size seed: Optional[int] = None def validate(self): """Validate configuration parameters""" assert 2 <= self.min_rows, "min_rows must be at least 2" assert 2 <= self.min_cols, "min_cols must be at least 2" assert self.min_rows <= self.max_rows, "max_rows must be at least min_rows" assert self.min_cols <= self.max_cols, "max_cols must be at least min_cols" assert 1 <= self.max_pool_size, "max_pool_size must be at least 1" class PoolMatrixDataset(ProceduralDataset): """Generates Pool Matrix exercises with configurable difficulty""" def __init__(self, config: PoolMatrixConfig): super().__init__(config=config, seed=config.seed, size=config.size) def _get_matrix(self, rng: Random) -> np.ndarray: """Generate a random matrix""" rows = rng.randint(self.config.min_rows, self.config.max_rows) cols = rng.randint(self.config.min_rows, self.config.max_cols) return np.random.randint(0, 10, (rows, cols)) def _matrix_to_str(self, matrix: np.ndarray) -> str: """Get a string representation of the matrix""" return "\n".join(" ".join(str(round(x, 2)) for x in row) for row in matrix) def _max_pool(self, matrix: np.ndarray, pool_size: int) -> np.ndarray: """Perform max pooling on the matrix""" rows, cols = matrix.shape return np.array( [ [np.max(matrix[i : i + pool_size, j : j + pool_size]) for j in range(0, cols, pool_size)] for i in range(0, rows, pool_size) ] ) def _average_pool(self, matrix: np.ndarray, pool_size: int) -> np.ndarray: """Perform average pooling on the matrix""" rows, cols = matrix.shape return np.array( [ [np.mean(matrix[i : i + pool_size, j : j + pool_size]) for j in range(0, cols, pool_size)] for i in range(0, rows, pool_size) ] ) def score_answer(self, answer: Optional[str], entry: dict[str, Any]) -> float: """Score the answer based on the metadata""" reward = 0.0 try: if answer is not None: oracle_answer = np.array(entry["answer"]) answer = np.array(answer) if oracle_answer.shape == answer.shape and np.allclose(oracle_answer, answer): reward = 1.0 if oracle_answer.shape == answer.shape: reward = 0.1 else: reward = 0.01 except: print("Error in scoring answer for Pool Matrix") return reward def __getitem__(self, idx: int) -> dict: """Generate a single Pool Matrix question""" rng = Random(self.seed + idx) np.random.seed(self.seed + idx) matrix = self._get_matrix(rng) matrix_str = self._matrix_to_str(matrix) pool_size = rng.randint(1, self.config.max_pool_size) pool_type = rng.choice(["average", "max"]) answer = self._average_pool(matrix, pool_size) if pool_type == "average" else self._max_pool(matrix, pool_size) answer_str = self._matrix_to_str(answer) return { "question": QUESTION_TEMPLATE.format(matrix=matrix_str, pool_type=pool_type, pool_size=pool_size), "answer": answer_str, "metadata": { "matrix": matrix.tolist(), "pool_type": pool_type, "pool_size": pool_size, "solution": answer.tolist(), }, } register_dataset("pool_matrix", PoolMatrixDataset, PoolMatrixConfig)