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| from __future__ import annotations | |
| import math | |
| def calc_chunk_sizes( | |
| chunk_size: int | tuple[int, int] | None, | |
| chunk_count: int | tuple[int, int] | None, | |
| total_chunk_count: int | None, | |
| ny: int, | |
| nx: int, | |
| ) -> tuple[int, int]: | |
| """Calculate chunk sizes. | |
| Args: | |
| chunk_size (int or tuple(int, int), optional): Chunk size in (y, x) directions, or the same | |
| size in both directions if only one is specified. Cannot be negative. | |
| chunk_count (int or tuple(int, int), optional): Chunk count in (y, x) directions, or the | |
| same count in both directions if only one is specified. If less than 1, set to 1. | |
| total_chunk_count (int, optional): Total number of chunks. If less than 1, set to 1. | |
| ny (int): Number of grid points in y-direction. | |
| nx (int): Number of grid points in x-direction. | |
| Return: | |
| tuple(int, int): Chunk sizes (y_chunk_size, x_chunk_size). | |
| Note: | |
| Zero or one of ``chunk_size``, ``chunk_count`` and ``total_chunk_count`` should be | |
| specified. | |
| """ | |
| if sum([chunk_size is not None, chunk_count is not None, total_chunk_count is not None]) > 1: | |
| raise ValueError("Only one of chunk_size, chunk_count and total_chunk_count should be set") | |
| if nx < 2 or ny < 2: | |
| raise ValueError(f"(ny, nx) must be at least (2, 2), not ({ny}, {nx})") | |
| if total_chunk_count is not None: | |
| max_chunk_count = (nx-1)*(ny-1) | |
| total_chunk_count = min(max(total_chunk_count, 1), max_chunk_count) | |
| if total_chunk_count == 1: | |
| chunk_size = 0 | |
| elif total_chunk_count == max_chunk_count: | |
| chunk_size = (1, 1) | |
| else: | |
| factors = two_factors(total_chunk_count) | |
| if ny > nx: | |
| chunk_count = factors | |
| else: | |
| chunk_count = (factors[1], factors[0]) | |
| if chunk_count is not None: | |
| if isinstance(chunk_count, tuple): | |
| y_chunk_count, x_chunk_count = chunk_count | |
| else: | |
| y_chunk_count = x_chunk_count = chunk_count | |
| x_chunk_count = min(max(x_chunk_count, 1), nx-1) | |
| y_chunk_count = min(max(y_chunk_count, 1), ny-1) | |
| chunk_size = (math.ceil((ny-1) / y_chunk_count), math.ceil((nx-1) / x_chunk_count)) | |
| if chunk_size is None: | |
| y_chunk_size = x_chunk_size = 0 | |
| elif isinstance(chunk_size, tuple): | |
| y_chunk_size, x_chunk_size = chunk_size | |
| else: | |
| y_chunk_size = x_chunk_size = chunk_size | |
| if x_chunk_size < 0 or y_chunk_size < 0: | |
| raise ValueError("chunk_size cannot be negative") | |
| return y_chunk_size, x_chunk_size | |
| def two_factors(n: int) -> tuple[int, int]: | |
| """Split an integer into two integer factors. | |
| The two factors will be as close as possible to the sqrt of n, and are returned in decreasing | |
| order. Worst case returns (n, 1). | |
| Args: | |
| n (int): The integer to factorize, must be positive. | |
| Return: | |
| tuple(int, int): The two factors of n, in decreasing order. | |
| """ | |
| if n < 0: | |
| raise ValueError(f"two_factors expects positive integer not {n}") | |
| i = math.ceil(math.sqrt(n)) | |
| while n % i != 0: | |
| i -= 1 | |
| j = n // i | |
| if i > j: | |
| return i, j | |
| else: | |
| return j, i | |