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"""
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numba_optimizations.py
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Numba JIT-compiled functions for mosaic generation.
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Provides 3-10x speedup on computational bottlenecks.
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"""
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import numpy as np
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try:
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from numba import jit, prange
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NUMBA_AVAILABLE = True
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except ImportError:
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NUMBA_AVAILABLE = False
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def jit(*args, **kwargs):
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def decorator(func):
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return func
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return decorator
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def prange(*args, **kwargs):
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return range(*args, **kwargs)
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@jit(nopython=True, parallel=True, fastmath=True, cache=True)
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def extract_cell_colors_numba(image, grid_rows, grid_cols):
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"""
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Extract average color for each grid cell using Numba.
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Optimizations:
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- Parallel execution across grid rows (prange)
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- Direct mean calculation (faster than np.mean for small regions)
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- Minimal memory allocations
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Speedup: 5-10x faster than NumPy mean for grid operations
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Args:
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image: Input image (H, W, 3) as uint8
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grid_rows: Number of rows in grid
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grid_cols: Number of columns in grid
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Returns:
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Cell colors (grid_rows, grid_cols, 3) as float64
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"""
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h, w, c = image.shape
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cell_h = h // grid_rows
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cell_w = w // grid_cols
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cell_colors = np.empty((grid_rows, grid_cols, c), dtype=np.float64)
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for i in prange(grid_rows):
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for j in prange(grid_cols):
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start_y = i * cell_h
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end_y = start_y + cell_h
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start_x = j * cell_w
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end_x = start_x + cell_w
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sum_vals = np.zeros(c, dtype=np.float64)
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for y in range(start_y, end_y):
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for x in range(start_x, end_x):
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for ch in range(c):
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sum_vals[ch] += image[y, x, ch]
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count = (end_y - start_y) * (end_x - start_x)
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for ch in range(c):
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cell_colors[i, j, ch] = sum_vals[ch] / count
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return cell_colors
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@jit(nopython=True, parallel=True, fastmath=True, cache=True)
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def compute_squared_distances_numba(colors, palette):
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"""
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Compute squared Euclidean distances using Numba.
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Optimizations:
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- Parallel execution (prange)
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- Squared distances (no sqrt needed for argmin)
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- Direct computation (no intermediate arrays)
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Speedup: 3-5x faster than sklearn euclidean_distances
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Args:
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colors: Query colors (N, 3)
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palette: Palette colors (M, 3)
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Returns:
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Squared distances (N, M)
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"""
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n_colors = colors.shape[0]
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n_palette = palette.shape[0]
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distances = np.empty((n_colors, n_palette), dtype=np.float64)
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for i in prange(n_colors):
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for j in range(n_palette):
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diff_sq = 0.0
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for ch in range(3):
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diff = colors[i, ch] - palette[j, ch]
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diff_sq += diff * diff
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distances[i, j] = diff_sq
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return distances
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@jit(nopython=True, parallel=True, cache=True)
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def assemble_mosaic_numba(tile_images, best_tiles_grid, grid_rows, grid_cols, tile_h, tile_w):
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"""
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Assemble mosaic using Numba parallel loops.
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Optimizations:
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- Parallel execution across grid rows
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- Direct memory copying
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- Minimal overhead
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Speedup: 2-4x faster than NumPy fancy indexing for large grids
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Args:
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tile_images: All tiles (num_tiles, tile_h, tile_w, 3)
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best_tiles_grid: Tile indices for each cell (grid_rows, grid_cols)
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grid_rows: Number of grid rows
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grid_cols: Number of grid columns
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tile_h: Tile height
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tile_w: Tile width
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Returns:
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Assembled mosaic (grid_rows*tile_h, grid_cols*tile_w, 3)
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"""
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mosaic = np.empty((grid_rows * tile_h, grid_cols * tile_w, 3), dtype=np.uint8)
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for i in prange(grid_rows):
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row_start = i * tile_h
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for j in range(grid_cols):
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col_start = j * tile_w
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tile_idx = best_tiles_grid[i, j]
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for y in range(tile_h):
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for x in range(tile_w):
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for ch in range(3):
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mosaic[row_start + y, col_start + x, ch] = tile_images[tile_idx, y, x, ch]
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return mosaic
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def warmup_numba_functions(tile_images, tile_h, tile_w):
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"""
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Warm up Numba JIT compilation.
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Compiles functions on first use to avoid overhead during actual execution.
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Args:
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tile_images: Sample tile images for compilation
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tile_h: Tile height
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tile_w: Tile width
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Returns:
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True if successful, False otherwise
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"""
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if not NUMBA_AVAILABLE:
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return False
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try:
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test_img = np.random.randint(0, 255, (64, 64, 3), dtype=np.uint8)
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test_colors = np.random.rand(10, 3).astype(np.float64)
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test_palette = np.random.rand(5, 3).astype(np.float64)
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test_grid = np.random.randint(0, min(10, len(tile_images)), (4, 4), dtype=np.int32)
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_ = extract_cell_colors_numba(test_img, 4, 4)
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_ = compute_squared_distances_numba(test_colors, test_palette)
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if len(tile_images) >= 10:
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_ = assemble_mosaic_numba(tile_images[:10], test_grid, 4, 4, tile_h, tile_w)
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return True
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except Exception:
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return False
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def get_numba_status():
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"""Get Numba availability status."""
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return {
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'available': NUMBA_AVAILABLE,
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'version': __import__('numba').__version__ if NUMBA_AVAILABLE else None,
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'message': 'Numba JIT available' if NUMBA_AVAILABLE else 'Numba not installed (using NumPy fallback)'
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} |