Ejemplo n.º 1
0
        /// <summary>
        /// Major cycle implemnentation for the parallel coordinate descent algorithm
        /// </summary>
        /// <param name="data"></param>
        /// <param name="c"></param>
        /// <param name="psfCutFactor"></param>
        /// <param name="maxMajorCycle"></param>
        /// <param name="maxMinorCycle"></param>
        /// <param name="lambda"></param>
        /// <param name="alpha"></param>
        /// <param name="deconvIterations"></param>
        /// <param name="deconvEpsilon"></param>
        public static void ReconstructPCDM(string obsName, MeasurementData data, GriddingConstants c, int psfCutFactor, int maxMajorCycle, int maxMinorCycle, float lambda, float alpha, int deconvIterations, float deconvEpsilon)
        {
            var metadata = Partitioner.CreatePartition(c, data.UVW, data.Frequencies);
            var psfVis   = new Complex[data.UVW.GetLength(0), data.UVW.GetLength(1), data.Frequencies.Length];

            for (int i = 0; i < data.Visibilities.GetLength(0); i++)
            {
                for (int j = 0; j < data.Visibilities.GetLength(1); j++)
                {
                    for (int k = 0; k < data.Visibilities.GetLength(2); k++)
                    {
                        if (!data.Flags[i, j, k])
                        {
                            psfVis[i, j, k] = new Complex(1.0, 0);
                        }
                        else
                        {
                            psfVis[i, j, k] = new Complex(0, 0);
                        }
                    }
                }
            }

            Console.WriteLine("gridding psf");
            var psfGrid = IDG.Grid(c, metadata, psfVis, data.UVW, data.Frequencies);
            var psf     = FFT.BackwardFloat(psfGrid, c.VisibilitiesCount);

            FFT.Shift(psf);

            var totalWatch   = new Stopwatch();
            var currentWatch = new Stopwatch();

            var totalSize    = new Rectangle(0, 0, c.GridSize, c.GridSize);
            var psfCut       = PSF.Cut(psf, psfCutFactor);
            var maxSidelobe  = PSF.CalcMaxSidelobe(psf, psfCutFactor);
            var sidelobeHalf = PSF.CalcMaxSidelobe(psf, 2);

            var pcdm = new ParallelCoordinateDescent(totalSize, psfCut, Environment.ProcessorCount, 1000);

            using (var gCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psfCut, totalSize), new Rectangle(0, 0, psfCut.GetLength(0), psfCut.GetLength(1))))
                using (var gCalculator2 = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psf, totalSize), new Rectangle(0, 0, psf.GetLength(0), psf.GetLength(1))))
                    using (var residualsConvolver = new PaddedConvolver(totalSize, psf))
                    {
                        var currentGCalculator = gCalculator;

                        var maxLipschitz    = PSF.CalcMaxLipschitz(psfCut);
                        var lambdaLipschitz = (float)(lambda * maxLipschitz);
                        var lambdaTrue      = (float)(lambda * PSF.CalcMaxLipschitz(psf));

                        var switchedToOtherPsf = false;
                        var xImage             = new float[c.GridSize, c.GridSize];
                        var residualVis        = data.Visibilities;
                        ParallelCoordinateDescent.PCDMStatistics lastResult = null;
                        for (int cycle = 0; cycle < maxMajorCycle; cycle++)
                        {
                            Console.WriteLine("Beginning Major cycle " + cycle);
                            var dirtyGrid  = IDG.GridW(c, metadata, residualVis, data.UVW, data.Frequencies);
                            var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, c.VisibilitiesCount);
                            FFT.Shift(dirtyImage);
                            FitsIO.Write(dirtyImage, obsName + "_dirty_pcdm_majorCycle" + cycle + ".fits");

                            currentWatch.Restart();
                            totalWatch.Start();

                            var breakMajor       = false;
                            var minLambda        = 0.0f;
                            var dirtyCopy        = Copy(dirtyImage);
                            var xCopy            = Copy(xImage);
                            var currentLambda    = 0f;
                            var currentObjective = 0.0;
                            var absMax           = 0.0f;
                            for (int minorCycle = 0; minorCycle < maxMinorCycle; minorCycle++)
                            {
                                Console.WriteLine("Beginning Minor Cycle " + minorCycle);
                                var maxDirty         = Residuals.GetMax(dirtyImage);
                                var bMap             = currentGCalculator.Convolve(dirtyImage);
                                var maxB             = Residuals.GetMax(bMap);
                                var correctionFactor = Math.Max(maxB / (maxDirty * maxLipschitz), 1.0f);
                                var currentSideLobe  = maxB * maxSidelobe * correctionFactor;
                                currentLambda = (float)Math.Max(currentSideLobe / alpha, lambdaLipschitz);

                                if (minorCycle == 0)
                                {
                                    minLambda = (float)(maxB * sidelobeHalf * correctionFactor / alpha);
                                }
                                if (currentLambda < minLambda)
                                {
                                    currentLambda = minLambda;
                                }
                                currentObjective = Residuals.CalcPenalty(dirtyImage) + ElasticNet.CalcPenalty(xImage, lambdaTrue, alpha);
                                absMax           = pcdm.GetAbsMax(xImage, bMap, lambdaTrue, alpha);
                                if (absMax < MAJOR_EPSILON)
                                {
                                    breakMajor = true;
                                    break;
                                }

                                lastResult = pcdm.Deconvolve(xImage, bMap, currentLambda, alpha, 40, deconvEpsilon);

                                if (currentLambda == lambda | currentLambda == minLambda)
                                {
                                    break;
                                }

                                var residualsUpdate = new float[xImage.GetLength(0), xImage.GetLength(1)];
                                Parallel.For(0, xCopy.GetLength(0), (i) =>
                                {
                                    for (int j = 0; j < xCopy.GetLength(1); j++)
                                    {
                                        residualsUpdate[i, j] = xImage[i, j] - xCopy[i, j];
                                    }
                                });
                                residualsConvolver.ConvolveInPlace(residualsUpdate);
                                Parallel.For(0, xCopy.GetLength(0), (i) =>
                                {
                                    for (int j = 0; j < xCopy.GetLength(1); j++)
                                    {
                                        dirtyImage[i, j] = dirtyCopy[i, j] - residualsUpdate[i, j];
                                    }
                                });
                            }

                            currentWatch.Stop();
                            totalWatch.Stop();

                            if (breakMajor)
                            {
                                break;
                            }
                            if (currentLambda == lambda & !switchedToOtherPsf)
                            {
                                pcdm.ResetAMap(psf);
                                currentGCalculator = gCalculator2;
                                lambda             = lambdaTrue;
                                switchedToOtherPsf = true;
                            }

                            FitsIO.Write(xImage, obsName + "_model_pcdm_majorCycle" + cycle + ".fits");

                            FFT.Shift(xImage);
                            var xGrid = FFT.Forward(xImage);
                            FFT.Shift(xImage);
                            var modelVis = IDG.DeGridW(c, metadata, xGrid, data.UVW, data.Frequencies);
                            residualVis = Visibilities.Substract(data.Visibilities, modelVis, data.Flags);
                        }

                        Console.WriteLine("Reconstruction finished in (seconds): " + totalWatch.Elapsed.TotalSeconds);
                    }
        }
        private static void ReconstructPCDM(MeasurementData input, GriddingConstants c, float[,] fullPsf, string folder, string file, int minorCycles, float searchPercent, int processorCount)
        {
            var totalWatch   = new Stopwatch();
            var currentWatch = new Stopwatch();

            var totalSize    = new Rectangle(0, 0, c.GridSize, c.GridSize);
            var psfCut       = PSF.Cut(fullPsf, CUT_FACTOR_PCDM);
            var maxSidelobe  = PSF.CalcMaxSidelobe(fullPsf, CUT_FACTOR_PCDM);
            var sidelobeHalf = PSF.CalcMaxSidelobe(fullPsf, 2);
            var random       = new Random(123);
            var pcdm         = new ParallelCoordinateDescent(totalSize, psfCut, 1, 1000, searchPercent);

            var metadata = Partitioner.CreatePartition(c, input.UVW, input.Frequencies);

            using (var bMapCalculator = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(psfCut, totalSize), new Rectangle(0, 0, psfCut.GetLength(0), psfCut.GetLength(1))))
                using (var bMapCalculator2 = new PaddedConvolver(PSF.CalcPaddedFourierCorrelation(fullPsf, totalSize), new Rectangle(0, 0, fullPsf.GetLength(0), fullPsf.GetLength(1))))
                    using (var residualsConvolver = new PaddedConvolver(totalSize, fullPsf))
                    {
                        var currentBMapCalculator = bMapCalculator;

                        var maxLipschitz = PSF.CalcMaxLipschitz(psfCut);
                        var lambda       = (float)(LAMBDA * maxLipschitz);
                        var lambdaTrue   = (float)(LAMBDA * PSF.CalcMaxLipschitz(fullPsf));
                        var alpha        = ALPHA;

                        var switchedToOtherPsf = false;
                        var writer             = new StreamWriter(folder + "/" + file + ".txt");
                        var xImage             = new float[c.GridSize, c.GridSize];
                        var residualVis        = input.Visibilities;
                        ParallelCoordinateDescent.PCDMStatistics lastResult = null;
                        for (int cycle = 0; cycle < 6; cycle++)
                        {
                            Console.WriteLine("Beginning Major cycle " + cycle);
                            var dirtyGrid  = IDG.GridW(c, metadata, residualVis, input.UVW, input.Frequencies);
                            var dirtyImage = FFT.WStackIFFTFloat(dirtyGrid, c.VisibilitiesCount);
                            FFT.Shift(dirtyImage);
                            FitsIO.Write(dirtyImage, folder + "/dirty" + cycle + ".fits");

                            currentWatch.Restart();
                            totalWatch.Start();

                            var breakMajor       = false;
                            var minLambda        = 0.0f;
                            var dirtyCopy        = Copy(dirtyImage);
                            var xCopy            = Copy(xImage);
                            var currentLambda    = 0f;
                            var currentObjective = 0.0;
                            var absMax           = 0.0f;
                            for (int minorCycle = 0; minorCycle < minorCycles; minorCycle++)
                            {
                                Console.WriteLine("Beginning Minor Cycle " + minorCycle);
                                var maxDirty         = Residuals.GetMax(dirtyImage);
                                var bMap             = currentBMapCalculator.Convolve(dirtyImage);
                                var maxB             = Residuals.GetMax(bMap);
                                var correctionFactor = Math.Max(maxB / (maxDirty * maxLipschitz), 1.0f);
                                var currentSideLobe  = maxB * maxSidelobe * correctionFactor;
                                currentLambda = (float)Math.Max(currentSideLobe / alpha, lambda);

                                if (minorCycle == 0)
                                {
                                    minLambda = (float)(maxB * sidelobeHalf * correctionFactor / alpha);
                                }
                                if (currentLambda < minLambda)
                                {
                                    currentLambda = minLambda;
                                }
                                currentObjective = Residuals.CalcPenalty(dirtyImage) + ElasticNet.CalcPenalty(xImage, lambdaTrue, alpha);
                                absMax           = pcdm.GetAbsMax(xImage, bMap, lambdaTrue, alpha);
                                if (absMax < MAJOR_STOP)
                                {
                                    breakMajor = true;
                                    break;
                                }

                                lastResult = pcdm.Deconvolve(xImage, bMap, currentLambda, alpha, 100, 1e-5f);

                                if (currentLambda == lambda | currentLambda == minLambda)
                                {
                                    break;
                                }

                                var residualsUpdate = new float[xImage.GetLength(0), xImage.GetLength(1)];
                                Parallel.For(0, xCopy.GetLength(0), (i) =>
                                {
                                    for (int j = 0; j < xCopy.GetLength(1); j++)
                                    {
                                        residualsUpdate[i, j] = xImage[i, j] - xCopy[i, j];
                                    }
                                });
                                residualsConvolver.ConvolveInPlace(residualsUpdate);
                                Parallel.For(0, xCopy.GetLength(0), (i) =>
                                {
                                    for (int j = 0; j < xCopy.GetLength(1); j++)
                                    {
                                        dirtyImage[i, j] = dirtyCopy[i, j] - residualsUpdate[i, j];
                                    }
                                });
                            }

                            currentWatch.Stop();
                            totalWatch.Stop();
                            writer.WriteLine(cycle + ";" + currentLambda + ";" + currentObjective + ";" + absMax + ";" + lastResult.IterationCount + ";" + totalWatch.Elapsed.TotalSeconds + ";" + currentWatch.Elapsed.TotalSeconds);
                            writer.Flush();

                            FitsIO.Write(xImage, folder + "/xImage_pcdm_" + cycle + ".fits");

                            if (breakMajor)
                            {
                                break;
                            }
                            if (currentLambda == lambda & !switchedToOtherPsf)
                            {
                                pcdm.ResetAMap(fullPsf);
                                currentBMapCalculator = bMapCalculator2;
                                lambda             = lambdaTrue;
                                switchedToOtherPsf = true;
                                writer.WriteLine("switched");
                                writer.Flush();
                            }

                            FFT.Shift(xImage);
                            var xGrid = FFT.Forward(xImage);
                            FFT.Shift(xImage);
                            var modelVis = IDG.DeGridW(c, metadata, xGrid, input.UVW, input.Frequencies);
                            residualVis = Visibilities.Substract(input.Visibilities, modelVis, input.Flags);
                        }

                        writer.Close();
                    }
        }