From 5d4c34be39a809b3eda72e9549ce23382da97923 Mon Sep 17 00:00:00 2001 From: dm1sh Date: Sun, 13 Apr 2025 23:05:53 +0300 Subject: [PATCH] Finished --- .gitignore | 4 + Calculator.cs | 189 +++++++++++++++++++++------- Configurator.cs | 114 +++++++++++------ Drawer.cs | 36 ++++-- MatrixOps.cs => MatrixExtensions.cs | 95 +++++++++++--- Point.cs | 26 +++- Program.cs | 15 +-- output/hdop.dat | Bin 0 -> 8000000 bytes output/hdop.png | Bin 0 -> 130298 bytes output/pdop.dat | Bin 0 -> 8000000 bytes output/pdop.png | Bin 0 -> 137458 bytes output/vdop.dat | Bin 0 -> 8000000 bytes output/vdop.png | Bin 0 -> 141275 bytes output/xdop.dat | Bin 0 -> 8000000 bytes output/xdop.png | Bin 0 -> 129320 bytes output/ydop.dat | Bin 0 -> 8000000 bytes output/ydop.png | Bin 0 -> 111171 bytes test.ipynb | 188 +++++++++++++++++++++++++++ test2.txt | 7 +- test3.txt | 8 +- test30.txt | 5 + 21 files changed, 566 insertions(+), 121 deletions(-) create mode 100644 .gitignore rename MatrixOps.cs => MatrixExtensions.cs (51%) create mode 100644 output/hdop.dat create mode 100644 output/hdop.png create mode 100644 output/pdop.dat create mode 100644 output/pdop.png create mode 100644 output/vdop.dat create mode 100644 output/vdop.png create mode 100644 output/xdop.dat create mode 100644 output/xdop.png create mode 100644 output/ydop.dat create mode 100644 output/ydop.png create mode 100644 test.ipynb create mode 100644 test30.txt diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..8be5d5e --- /dev/null +++ b/.gitignore @@ -0,0 +1,4 @@ +.venv/ +.vscode/ +bin/ +obj/ diff --git a/Calculator.cs b/Calculator.cs index a8e3560..fc1e171 100644 --- a/Calculator.cs +++ b/Calculator.cs @@ -1,80 +1,185 @@ namespace omp { - public class OverlappingPoints : Exception { } + using CalculationResults = Dictionary; - public static class Calculator + public class CalculationException : Exception; + + public class OverlappingPoints : CalculationException; + public class SingularMatrix : CalculationException; + + public interface ICalculator { - public const double StationPDOP = -1000; + CalculationResults Calculate(); + } - public static double[,] Jacobian1T(List stations, Point position) + public class Calculator2D(List stations, int xSize, int ySize) : ICalculator + { + private readonly List stations = stations; + private readonly int xSize = xSize, ySize = ySize; + + public CalculationResults Calculate() + { + double[,] xdop = new double[xSize, ySize]; + double[,] ydop = new double[xSize, ySize]; + double[,] hdop = new double[xSize, ySize]; + + Parallel.For(0, xSize, i => + { + for (int j = 0; j < ySize; ++j) + { + try + { + double[,] JR = Jacobian(stations, new Point2D(i, j)); + + double[,] mult = JR.MultTrans(); + + double det = mult.Det(); + + if (det == 0) + { + throw new SingularMatrix(); + } + + double sx2 = mult.Adj(0, 0) / det; + double sy2 = mult.Adj(1, 1) / det; + + xdop[i, j] = Math.Sqrt(sx2); + ydop[i, j] = Math.Sqrt(sy2); + hdop[i, j] = Math.Sqrt(sx2 + sy2); + } + catch (CalculationException) + { + xdop[i, j] = double.NaN; + ydop[i, j] = double.NaN; + hdop[i, j] = double.NaN; + } + } + }); + + return new CalculationResults + { + ["xdop"] = xdop, + ["ydop"] = ydop, + ["hdop"] = hdop, + }; + } + + public static double[,] Jacobian(List stations, Point2D position) { int n = stations.Count; - double[,] J = new double[4, n]; + double[,] J = new double[n, 2]; for (int i = 0; i < n; ++i) { - double distance = position.Distance(stations[i]); + double distance = position.DistanceTo(stations[i]); if (distance == 0) { throw new OverlappingPoints(); } - J[0, i] = -(stations[i].x - position.x) / distance; - J[1, i] = -(stations[i].y - position.y) / distance; - J[2, i] = -(stations[i].z - position.z) / distance; - J[3, i] = 1; // Clock bias + J[i, 0] = -(stations[i].x - position.x) / distance; + J[i, 1] = -(stations[i].y - position.y) / distance; } return J; } + } - public static double PDOP(List stations, Point position) + public class Calculator3D(List stations, int xSize, int ySize, int zCoordinate) : ICalculator + { + private readonly List stations = stations; + private readonly int xSize = xSize, ySize = ySize; + private readonly int z = zCoordinate; + + public CalculationResults Calculate() { - double[,] JR = Jacobian1T(stations, position); + double[,] xdop = new double[xSize, ySize]; + double[,] ydop = new double[xSize, ySize]; + double[,] hdop = new double[xSize, ySize]; + double[,] vdop = new double[xSize, ySize]; + double[,] pdop = new double[xSize, ySize]; - double[,] mult = MatrixOps.MultTrans(JR); - - double det = MatrixOps.Det(mult); - - double sx2 = MatrixOps.Adj(mult, 0, 0) / det; - double sy2 = MatrixOps.Adj(mult, 1, 1) / det; - double sz2 = MatrixOps.Adj(mult, 2, 2) / det; - - return Math.Sqrt(sx2 + sy2 + sz2); - } - - public static void PDOPs(double[,] pdops, Configurator conf, out double min, out double max) - { - min = double.MaxValue; - max = double.MinValue; - - for (int i = 0; i < pdops.GetLength(0); ++i) + Parallel.For(0, xSize, i => { - for (int j = 0; j < pdops.GetLength(1); ++j) + for (int j = 0; j < ySize; ++j) { try { - pdops[i, j] = PDOP(conf.stations, new Point(i, j, conf.zCoordinate)); + double[,] JR = Jacobian(stations, new Point3D(i, j, z)); - if (pdops[i, j] > max) - { - max = pdops[i, j]; - } + double[,] mult = JR.MultTrans(); - if (pdops[i, j] < min) - { - min = pdops[i, j]; - } + double det = mult.Det(); + + double sx2 = mult.Adj(0, 0) / det; + double sy2 = mult.Adj(1, 1) / det; + double sz2 = mult.Adj(2, 2) / det; + + xdop[i, j] = Math.Sqrt(sx2); + ydop[i, j] = Math.Sqrt(sy2); + hdop[i, j] = Math.Sqrt(sx2 + sy2); + vdop[i, j] = Math.Sqrt(sz2); + pdop[i, j] = Math.Sqrt(sx2 + sy2 + sz2); } catch (OverlappingPoints) { - pdops[i, j] = StationPDOP; + xdop[i, j] = double.NaN; + ydop[i, j] = double.NaN; + hdop[i, j] = double.NaN; + vdop[i, j] = double.NaN; + pdop[i, j] = double.NaN; } } + }); + + return new CalculationResults + { + ["xdop"] = xdop, + ["ydop"] = ydop, + ["hdop"] = hdop, + ["vdop"] = vdop, + ["pdop"] = pdop, + }; + } + + public static double[,] Jacobian(List stations, Point3D position) + { + int n = stations.Count; + double[,] J = new double[n, 3]; + + for (int i = 0; i < n; ++i) + { + double distance = position.DistanceTo(stations[i]); + + if (distance == 0) + { + throw new OverlappingPoints(); + } + + J[i, 0] = -(stations[i].x - position.x) / distance; + J[i, 1] = -(stations[i].y - position.y) / distance; + J[i, 2] = -(stations[i].z - position.z) / distance; } - Console.WriteLine("{0}...{1}", min, max); + return J; } } -} \ No newline at end of file + + public static class CalculatorFactory + { + public static ICalculator Create(IConfigurator configurator) + { + var stations = configurator.Stations; + + return configurator.PointType switch + { + _ when configurator.PointType == typeof(Point2D) => + new Calculator2D(stations.Cast().ToList(), configurator.XSize, configurator.YSize), + _ when configurator.PointType == typeof(Point3D) => + new Calculator3D(stations.Cast().ToList(), configurator.XSize, configurator.YSize, configurator.ZCoordinate), + _ => throw new InvalidOperationException("Unsupported point type") + }; + } + } +} diff --git a/Configurator.cs b/Configurator.cs index fefeea0..192f4ea 100644 --- a/Configurator.cs +++ b/Configurator.cs @@ -1,13 +1,47 @@ namespace omp { - public class Configurator + class UndergroundException : Exception; + + public interface IConfigurator { - public int xsize; - public int ysize; - public int zCoordinate; - public List stations = []; + Type PointType { get; } + + public int XSize { get; } + public int YSize { get; } + public int ZCoordinate { get; } + public List Stations { get; } + } + + public class Configurator : IConfigurator + { + public Type PointType { get; } + + public int XSize { get; } + public int YSize { get; } + public int ZCoordinate { get; } + public List Stations { get; } = []; public Configurator(string[] args) + { + List lines = ReadAllLines(args); + + bool hasZ = CheckHasZ(lines[1]); + + if (hasZ) + { + PointType = typeof(Point3D); + } + else + { + PointType = typeof(Point2D); + } + + (XSize, YSize) = ParseSize(lines[0]); + ZCoordinate = ParseZCoord(lines[1], hasZ); + ParseStations(lines, hasZ); + } + + private static List ReadAllLines(string[] args) { List lines; @@ -32,16 +66,7 @@ namespace omp throw new ArgumentException("You must either provide path to parameters file as an only cli argument, or insert it into STDIN"); } - ParseParameters(lines); - } - - private void ParseParameters(IReadOnlyList lines) - { - bool hasZ = CheckHasZ(lines[1]); - - ParseSize(lines[0]); - ParseZCoord(lines[1], hasZ); - ParseStations(lines, hasZ); + return lines; } private static bool CheckHasZ(string line) @@ -49,48 +74,65 @@ namespace omp return line.Split(' ').Length == 1; // line contains a single number, z coordinate } - private void ParseSize(string line) + private static (int, int) ParseSize(string line) { string[] size_parts = line.Split(' ', 2); - xsize = int.Parse(size_parts[0]); - ysize = int.Parse(size_parts[1]); + int xSize = int.Parse(size_parts[0]); + int ySize = int.Parse(size_parts[1]); + + return (xSize, ySize); } - private void ParseZCoord(string line, bool hasZ) + private int ParseZCoord(string line, bool hasZ) { + int zCoordinate; if (hasZ) { zCoordinate = int.Parse(line); + if (ZCoordinate < 0) + { + throw new UndergroundException(); + } } else { - zCoordinate = 0; + zCoordinate = -1; } + + return zCoordinate; } private void ParseStations(IReadOnlyList lines, bool hasZ) { - int firstIndex = 1 + (hasZ ? 1 : 0); - for (int i = firstIndex; i < lines.Count; ++i) + if (hasZ) Parse3DStations(lines); + else Parse2DStations(lines); + } + + private void Parse2DStations(IReadOnlyList lines) + { + for (int i = 1; i < lines.Count; ++i) { - string[] point_parts = lines[i].Split(' ', 2 + (hasZ ? 1 : 0)); + string[] point_parts = lines[i].Split(' ', 2); - int x, y, z; + int x = int.Parse(point_parts[0]); + int y = int.Parse(point_parts[1]); - x = int.Parse(point_parts[0]) - 1; - y = int.Parse(point_parts[1]) - 1; + Stations.Add(new Point2D(x, y)); + } + } - if (hasZ) - { - z = int.Parse(point_parts[2]); - } - else - { - z = 0; - } + private void Parse3DStations(IReadOnlyList lines) + { + for (int i = 2; i < lines.Count; ++i) + { + string[] point_parts = lines[i].Split(' ', 3); - stations.Add(new Point(x, y, z)); + int x = int.Parse(point_parts[0]); + int y = int.Parse(point_parts[1]); + int z = int.Parse(point_parts[2]); + + Stations.Add(new Point3D(x, y, z)); } } } -} \ No newline at end of file +} diff --git a/Drawer.cs b/Drawer.cs index c45d8ed..7b64052 100644 --- a/Drawer.cs +++ b/Drawer.cs @@ -2,25 +2,39 @@ using SkiaSharp; namespace omp { - class Drawer - { - public static void Draw(Configurator conf, double[,] pdops, double min, double max) - { - var bitmap = new SKBitmap(conf.xsize, conf.ysize); + using CalculationResults = Dictionary; - for (int i = 0; i < conf.xsize; ++i) + public class Drawer + { + public static void DrawAll(Configurator conf, CalculationResults results) + { + Directory.CreateDirectory("output"); + foreach ((string name, double[,] matrix) in results) { - for (int j = 0; j < conf.ysize; ++j) + Draw(conf, matrix, Path.Join("output", name + ".png")); + } + } + + public static void Draw(Configurator conf, double[,] matrix, string fileName) + { + (double min, double max) = matrix.MinMax(); + Console.WriteLine("{0}: {1}...{2}", fileName, min, max); + + var bitmap = new SKBitmap(conf.XSize, conf.YSize); + + for (int i = 0; i < conf.XSize; ++i) + { + for (int j = 0; j < conf.YSize; ++j) { SKColor color; - if (pdops[i, j] == Calculator.StationPDOP) + if (double.IsNaN(matrix[i, j])) { color = SKColors.White; } else { - double t = (pdops[i, j] - min) / (max - min); + double t = (matrix[i, j] - min) / (max - min); color = Map2Color(t); } @@ -30,7 +44,7 @@ namespace omp using (var image = SKImage.FromBitmap(bitmap)) using (var data = image.Encode(SKEncodedImageFormat.Png, 100)) - using (var stream = File.OpenWrite("out.png")) + using (var stream = File.OpenWrite(fileName)) { data.SaveTo(stream); } @@ -64,4 +78,4 @@ namespace omp } } } -} \ No newline at end of file +} diff --git a/MatrixOps.cs b/MatrixExtensions.cs similarity index 51% rename from MatrixOps.cs rename to MatrixExtensions.cs index 338e381..17dd2d4 100644 --- a/MatrixOps.cs +++ b/MatrixExtensions.cs @@ -1,16 +1,18 @@ +using System.ComponentModel; + namespace omp { - public static class MatrixOps + public static class MatrixExtensions { - public static void Print(double[,] a) + public static void Print(this double[,] a) { int rows = a.GetLength(0); int columns = a.GetLength(1); Console.WriteLine("Matrix of size {0}x{1}:", rows, columns); - for (int i = 0; i < rows; i++) + for (int i = 0; i < rows; ++i) { - for (int j = 0; j < columns; j++) + for (int j = 0; j < columns; ++j) { Console.Write("\t{0}", a[i, j]); } @@ -18,14 +20,35 @@ namespace omp } } - public static double Adj(double[,] a, int i, int j) + public static void SaveToFile(this double[,] a, string filePath) + { + int rows = a.GetLength(0); + int cols = a.GetLength(0); + + using (var stream = new FileStream(filePath, FileMode.Create)) + using (var writer = new BinaryWriter(stream)) + { + unsafe + { + fixed (double* ptr = &a[0, 0]) + { + byte* bytePtr = (byte*)ptr; + int byteCount = rows * cols * sizeof(double); + + writer.Write(new ReadOnlySpan(bytePtr, byteCount)); + } + } + } + } + + public static double Adj(this double[,] a, int i, int j) { double sgn = ((i + j) % 2 == 0) ? 1 : -1; return sgn * Det(Minor(a, j, i)); } - public static double[,] Minor(double[,] a, int i, int j) + public static double[,] Minor(this double[,] a, int i, int j) { int rows = a.GetLength(0); int columns = a.GetLength(1); @@ -62,12 +85,14 @@ namespace omp return minor; } - public static double Det(double[,] a) + public static double Det(this double[,] a) { int n = a.GetLength(0); switch (n) { + case 1: + return a[0, 0]; case 2: return Det2(a); case 3: @@ -86,11 +111,12 @@ namespace omp } } - public static double Det2(double[,] a) + public static double Det2(this double[,] a) { return a[0, 0] * a[1, 1] - a[0, 1] * a[1, 0]; } + public static double Det3(double[,] a) { if (a.GetLength(0) != 3 || a.GetLength(1) != 3) @@ -104,19 +130,18 @@ namespace omp - a[0, 0] * a[1, 2] * a[2, 1] - a[2, 2] * a[0, 1] * a[1, 0]; } - - public static double[,] MultTrans(double[,] a) + public static double[,] MultTrans(this double[,] a) { int rows = a.GetLength(0); int columns = a.GetLength(1); double[,] r = new double[rows, rows]; - for (int i = 0; i < rows; i++) + for (int i = 0; i < rows; ++i) { - for (int j = 0; j < rows; j++) + for (int j = 0; j < rows; ++j) { - for (int k = 0; k < columns; k++) + for (int k = 0; k < columns; ++k) { r[i, j] += a[i, k] * a[j, k]; } @@ -125,5 +150,47 @@ namespace omp return r; } + + public static (double Min, double Max) MinMax(this double[,] a) + { + double min = double.MaxValue; + double max = double.MinValue; + + object MMLock = new(); + + Parallel.For(0, a.GetLength(0), i => + { + double localMin = double.MaxValue; + double localMax = double.MinValue; + + for (int j = 0; j < a.GetLength(1); ++j) + { + if (a[i, j] < localMin) + { + localMin = a[i, j]; + } + if (a[i, j] > localMax) + { + localMax = a[i, j]; + } + } + + lock (MMLock) + { + if (localMin < min) + { + min = localMin; + } + + if (localMax > max) + { + max = localMax; + } + + } + }); + + return (min, max); + } } -} \ No newline at end of file +} diff --git a/Point.cs b/Point.cs index 673ce69..e229296 100644 --- a/Point.cs +++ b/Point.cs @@ -1,10 +1,12 @@ namespace omp { - public class Point(int x, int y, int z) + public class Point { } + + public class Point3D(int x, int y, int z) : Point { public int x = x, y = y, z = z; - public double Distance(Point a) + public double DistanceTo(Point3D a) { double dx = x - a.x; double dy = y - a.y; @@ -13,9 +15,27 @@ namespace omp return Math.Sqrt(dx * dx + dy * dy + dz * dz); } - public bool Equals(Point a) + public bool Equals(Point3D a) { return (x == a.x) && (y == a.y) && (z == a.z); } } + + public class Point2D(int x, int y) : Point + { + public int x = x, y = y; + + public double DistanceTo(Point2D a) + { + double dx = x - a.x; + double dy = y - a.y; + + return Math.Sqrt(dx * dx + dy * dy); + } + + public bool Equals(Point2D a) + { + return (x == a.x) && (x == a.y); + } + } } diff --git a/Program.cs b/Program.cs index e91fc30..6cfa3b4 100644 --- a/Program.cs +++ b/Program.cs @@ -4,14 +4,15 @@ namespace omp { public static void Main(string[] args) { - Configurator conf = new(args); + var configurator = new Configurator(args); + var calculator = CalculatorFactory.Create(configurator); + var results = calculator.Calculate(); + Drawer.DrawAll(configurator, results); - double[,] pdops = new double[conf.xsize, conf.ysize]; - double min, max; - - Calculator.PDOPs(pdops, conf, out min, out max); - - Drawer.Draw(conf, pdops, min, max); + foreach ((string name, double[,] arr) in results) + { + arr.SaveToFile(Path.Join("output", name + ".dat")); + } } } } diff --git a/output/hdop.dat b/output/hdop.dat new file mode 100644 index 0000000000000000000000000000000000000000..8f5b26a55c7178a1b09e15c1e96188c61521d339 GIT binary patch literal 8000000 zcmWjKcU({39|v%ylxX_wKGo;b-h0niB*~^Ii6SMWjEE8y5lt<$tubDoV!0&4 z8Uqe-cmM|SKXi(A0>5Z|jM=K-NSk3$+hz-O!X7a}$S&gfjDWDG2&PJQQ>2F45p z3g!8L`zm*D@xQUc9czDzRXT~Eg=~KMTEV6LS(Tin6^wV*vYHoLq17;YY~;Nq!ul;c zLb5G!oYyiSGSCuJx_UuEt1WS{Y&d3$Z3#XJb5ECX3(OOlC{nAoK=yyRmU}N*KrHHA zC3Uw2l&^))svBEiP1&}m_ZL~fyCU@Sm0ojbjGWgQdt{E}x=kUO=gm>jB9PbMYL1ml zexbwq35hLUmb-Va7twePys(sCmV&i*>#e$5DIaeLbkWCW-GY;PWM zHG)>|2CkQ-5fsn4-?<@Ugs$CZPP2H7AoydHr|Y93F0UO5{!nL#cNe?Xa5D|DR!F@e zGr|zcbN0)9_ZwnV|Azdrb%v-{3Vu?lYl!E?>Y>YNhImo7W$afTVYC3(1%b$)r6R^K2%fGjI4j@Aw5qzI-^?;yKjUAn%3*V zJ|X!m?*l#5F8i!EldOlnDJxN>5Ix-Que=$$R}bTkB}YXZ^l-zWg7wTo4{kpbBny@F 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