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/*
 * #%L
 * Image processing operations for SciJava Ops.
 * %%
 * Copyright (C) 2014 - 2024 SciJava developers.
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 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
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package org.scijava.ops.image.create;

import java.util.function.BiFunction;

import net.imglib2.Cursor;
import net.imglib2.Dimensions;
import net.imglib2.FinalInterval;
import net.imglib2.RandomAccessibleInterval;
import net.imglib2.img.Img;
import net.imglib2.type.Type;
import net.imglib2.type.numeric.ComplexType;
import net.imglib2.view.Views;

/**
 * Laplacian of Gaussian filter ported from
 * fiji.plugin.trackmate.detection.DetectionUtil. Permission granted by
 * Jean-Yves Tinevez to change license from GPL. Creates a laplacian of gaussian
 * (LoG) kernel tuned for blobs with a radius (sigma) and  calibrated units
 * (default calibration is 1) . The specified sigma and calibration is used
 * to determine the dimensionality of the kernel and to map it on a pixel grid.
 *
 * @author Jean-Yves Tinevez
 * @author Brian Northan
 */
public final class DefaultCreateKernelLog {

	private DefaultCreateKernelLog() {
		// Prevent instantiation of static utility class
	}

	public static , C extends ComplexType>
		RandomAccessibleInterval createKernel(double[] sigmas, C type,
			BiFunction> imgFromDimsAndType)
	{
		final double[] sigmaPixels = new double[sigmas.length];
		for (int i = 0; i < sigmaPixels.length; i++) {
			// Optimal sigma for LoG approach and dimensionality.
			final double sigma_optimal = sigmas[i] / Math.sqrt(sigmas.length);

			sigmaPixels[i] = sigma_optimal;
		}
		final int n = sigmaPixels.length;
		final long[] dims = new long[n];
		final long[] middle = new long[n];
		for (int d = 0; d < n; ++d) {
			// The half size of the kernel is 3 standard deviations (or a
			// minimum half size of 2)
			final int hksizes = Math.max(2, (int) (3 * sigmaPixels[d] + 0.5) + 1);
			// add 3 border pixels to achieve smoother derivatives at the border
			dims[d] = 3 + 2 * hksizes;
			middle[d] = 1 + hksizes;
		}

		// TODO is this safe? I think so...
		final RandomAccessibleInterval output =
			(RandomAccessibleInterval) imgFromDimsAndType.apply(new FinalInterval(
				dims), (T) type);

		final Cursor c = Views.iterable(output).cursor();
		final long[] coords = new long[sigmas.length];
		/*
		 * The gaussian normalization factor, divided by a constant value. This
		 * is a fudge factor, that more or less put the quality values close to
		 * the maximal value of a blob of optimal radius.
		 */
		final double C = 1d / 20d * Math.pow(1d / sigmas[0] / Math.sqrt(2 *
			Math.PI), sigmas.length);
		// Work in image coordinates
		while (c.hasNext()) {
			c.fwd();
			c.localize(coords);
			double mantissa = 0;
			double exponent = 0;
			for (int d = 0; d < coords.length; d++) {
				final double x = coords[d] - middle[d];
				mantissa += -C * (x * x / sigmas[0] / sigmas[0] - 1d);
				exponent += -x * x / 2d / sigmas[0] / sigmas[0];
			}
			c.get().setReal(mantissa * Math.exp(exponent));
		}

		return output;
	}

}