最小二乘-矩阵运算

Models/LeastSquaresResult.cs

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+using System.Collections.Generic;
+
+namespace kcsj.Models
+{
+    public class LeastSquaresResult
+    {
+        public int ObservationCount { get; set; }
+        public int UnknownCount { get; set; }
+        public int Redundancy { get; set; }
+
+        /// <summary>
+        /// 单位权中误差
+        /// </summary>
+        public double Sigma0 { get; set; }
+
+        /// <summary>
+        /// 未知点平差高程
+        /// </summary>
+        public Dictionary<string, double> UnknownElevations { get; } = new();
+
+        /// <summary>
+        /// 所有点平差后高程，包括已知点和未知点
+        /// </summary>
+        public Dictionary<string, double> AdjustedElevations { get; } = new();
+
+        /// <summary>
+        /// 未知点高程中误差
+        /// </summary>
+        public Dictionary<string, double> UnknownElevationErrors { get; } = new();
+
+        /// <summary>
+        /// 每条观测的改正数 v
+        /// </summary>
+        public List<double> Residuals { get; } = new();
+
+        /// <summary>
+        /// 每条观测的平差后高差
+        /// </summary>
+        public List<double> AdjustedHeightDiffs { get; } = new();
+
+        /// <summary>
+        /// 每条观测的详细结果
+        /// </summary>
+        public List<ObservationAdjustmentResult> ObservationResults { get; } = new();
+    }
+
+    public class ObservationAdjustmentResult
+    {
+        public int Index { get; set; }
+
+        public string FromPoint { get; set; } = "";
+        public string ToPoint { get; set; } = "";
+
+        public double ObservedHeightDiff { get; set; }
+        public double Distance { get; set; }
+        public double Weight { get; set; }
+
+        /// <summary>
+        /// 改正数 v
+        /// </summary>
+        public double Residual { get; set; }
+
+        /// <summary>
+        /// 平差后高差 h + v
+        /// </summary>
+        public double AdjustedHeightDiff { get; set; }
+    }
+}

Services/DataCheck.cs

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+using System;
+using System.Collections.Generic;
+using System.Linq;
+using kcsj.Models;
+
+namespace kcsj.Services
+{
+    public class DataCheckResult
+    {
+        public List<string> Errors { get; } = new();
+        public List<string> Warnings { get; } = new();
+        public List<string> Infos { get; } = new();
+
+        public bool IsValid => Errors.Count == 0;
+
+        public string ToLogText()
+        {
+            var lines = new List<string>();
+
+            lines.Add("========== 数据检查结果 ==========");
+
+            foreach (string info in Infos)
+            {
+                lines.Add("[信息] " + info);
+            }
+
+            foreach (string warning in Warnings)
+            {
+                lines.Add("[警告] " + warning);
+            }
+
+            foreach (string error in Errors)
+            {
+                lines.Add("[错误] " + error);
+            }
+
+            lines.Add(IsValid ? "数据检查通过。" : "数据检查未通过。");
+            lines.Add("================================");
+
+            return string.Join(Environment.NewLine, lines);
+        }
+    }
+
+    public static class DataCheck
+    {
+        public static DataCheckResult Check(
+            List<KnownPoint> knownPoints,
+            List<Observation> observations)
+        {
+            var result = new DataCheckResult();
+
+            if (knownPoints == null || knownPoints.Count == 0)
+            {
+                result.Errors.Add("未导入已知点数据。");
+            }
+            else
+            {
+                result.Infos.Add($"已知点数量：{knownPoints.Count}");
+            }
+
+            if (observations == null || observations.Count == 0)
+            {
+                result.Errors.Add("未导入观测数据。");
+            }
+            else
+            {
+                result.Infos.Add($"观测数据数量：{observations.Count}");
+            }
+
+            if (!result.IsValid)
+            {
+                return result;
+            }
+
+            CheckKnownPoints(knownPoints, result);
+            CheckObservations(observations, result);
+            CheckNetwork(knownPoints, observations, result);
+            CheckRedundancy(knownPoints, observations, result);
+
+            return result;
+        }
+
+        private static void CheckKnownPoints(
+            List<KnownPoint> knownPoints,
+            DataCheckResult result)
+        {
+            var names = new HashSet<string>(StringComparer.OrdinalIgnoreCase);
+
+            for (int i = 0; i < knownPoints.Count; i++)
+            {
+                KnownPoint point = knownPoints[i];
+
+                if (string.IsNullOrWhiteSpace(point.Name))
+                {
+                    result.Errors.Add($"第 {i + 1} 个已知点点名为空。");
+                    continue;
+                }
+
+                string name = point.Name.Trim();
+
+                if (!names.Add(name))
+                {
+                    result.Errors.Add($"已知点点名重复：{name}");
+                }
+
+                if (double.IsNaN(point.Elevation) || double.IsInfinity(point.Elevation))
+                {
+                    result.Errors.Add($"已知点 {name} 的高程不是有效数字。");
+                }
+            }
+        }
+
+        private static void CheckObservations(
+            List<Observation> observations,
+            DataCheckResult result)
+        {
+            var edges = new HashSet<string>(StringComparer.OrdinalIgnoreCase);
+
+            for (int i = 0; i < observations.Count; i++)
+            {
+                Observation obs = observations[i];
+
+                if (string.IsNullOrWhiteSpace(obs.FromPoint))
+                {
+                    result.Errors.Add($"第 {i + 1} 条观测起点为空。");
+                    continue;
+                }
+
+                if (string.IsNullOrWhiteSpace(obs.ToPoint))
+                {
+                    result.Errors.Add($"第 {i + 1} 条观测终点为空。");
+                    continue;
+                }
+
+                string from = obs.FromPoint.Trim();
+                string to = obs.ToPoint.Trim();
+
+                if (string.Equals(from, to, StringComparison.OrdinalIgnoreCase))
+                {
+                    result.Errors.Add($"第 {i + 1} 条观测起点和终点相同：{from}");
+                }
+
+                if (double.IsNaN(obs.HeightDiff) || double.IsInfinity(obs.HeightDiff))
+                {
+                    result.Errors.Add($"第 {i + 1} 条观测高差不是有效数字。");
+                }
+
+                if (double.IsNaN(obs.Distance) || double.IsInfinity(obs.Distance))
+                {
+                    result.Errors.Add($"第 {i + 1} 条观测距离不是有效数字。");
+                }
+                else if (obs.Distance <= 0)
+                {
+                    result.Errors.Add($"第 {i + 1} 条观测距离必须大于 0。");
+                }
+
+                string edge1 = from + "-" + to;
+                string edge2 = to + "-" + from;
+
+                if (edges.Contains(edge1) || edges.Contains(edge2))
+                {
+                    result.Warnings.Add($"第 {i + 1} 条观测边可能重复：{from} - {to}");
+                }
+                else
+                {
+                    edges.Add(edge1);
+                }
+            }
+        }
+
+        private static void CheckNetwork(
+            List<KnownPoint> knownPoints,
+            List<Observation> observations,
+            DataCheckResult result)
+        {
+            if (!result.IsValid)
+            {
+                return;
+            }
+
+            var knownNames = new HashSet<string>(
+                knownPoints.Select(p => p.Name.Trim()),
+                StringComparer.OrdinalIgnoreCase);
+
+            var allNames = new HashSet<string>(StringComparer.OrdinalIgnoreCase);
+
+            foreach (KnownPoint point in knownPoints)
+            {
+                allNames.Add(point.Name.Trim());
+            }
+
+            foreach (Observation obs in observations)
+            {
+                allNames.Add(obs.FromPoint.Trim());
+                allNames.Add(obs.ToPoint.Trim());
+            }
+
+            var graph = new Dictionary<string, List<string>>(StringComparer.OrdinalIgnoreCase);
+
+            foreach (string name in allNames)
+            {
+                graph[name] = new List<string>();
+            }
+
+            foreach (Observation obs in observations)
+            {
+                string from = obs.FromPoint.Trim();
+                string to = obs.ToPoint.Trim();
+
+                graph[from].Add(to);
+                graph[to].Add(from);
+            }
+
+            var visited = new HashSet<string>(StringComparer.OrdinalIgnoreCase);
+            var queue = new Queue<string>();
+
+            foreach (string knownName in knownNames)
+            {
+                if (graph.ContainsKey(knownName))
+                {
+                    visited.Add(knownName);
+                    queue.Enqueue(knownName);
+                }
+            }
+
+            while (queue.Count > 0)
+            {
+                string current = queue.Dequeue();
+
+                foreach (string next in graph[current])
+                {
+                    if (!visited.Contains(next))
+                    {
+                        visited.Add(next);
+                        queue.Enqueue(next);
+                    }
+                }
+            }
+
+            foreach (string name in allNames)
+            {
+                if (!visited.Contains(name))
+                {
+                    result.Errors.Add($"点 {name} 没有与任何已知点连通。");
+                }
+            }
+
+            int unknownCount = allNames.Count(name => !knownNames.Contains(name));
+
+            result.Infos.Add($"总点数：{allNames.Count}");
+            result.Infos.Add($"未知点数：{unknownCount}");
+        }
+
+        private static void CheckRedundancy(
+            List<KnownPoint> knownPoints,
+            List<Observation> observations,
+            DataCheckResult result)
+        {
+            if (!result.IsValid)
+            {
+                return;
+            }
+
+            var knownNames = new HashSet<string>(
+                knownPoints.Select(p => p.Name.Trim()),
+                StringComparer.OrdinalIgnoreCase);
+
+            var allNames = new HashSet<string>(StringComparer.OrdinalIgnoreCase);
+
+            foreach (KnownPoint point in knownPoints)
+            {
+                allNames.Add(point.Name.Trim());
+            }
+
+            foreach (Observation obs in observations)
+            {
+                allNames.Add(obs.FromPoint.Trim());
+                allNames.Add(obs.ToPoint.Trim());
+            }
+
+            int unknownCount = allNames.Count(name => !knownNames.Contains(name));
+            int observationCount = observations.Count;
+            int redundancy = observationCount - unknownCount;
+
+            result.Infos.Add($"多余观测数：r = {observationCount} - {unknownCount} = {redundancy}");
+
+            if (observationCount < unknownCount)
+            {
+                result.Errors.Add("观测数少于未知点数，无法平差。");
+            }
+            else if (redundancy == 0)
+            {
+                result.Warnings.Add("多余观测数为 0，无法进行精度评定。");
+            }
+        }
+    }
+}

Services/DataStore.cs

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+using System;
+using System.Collections.Generic;
+using System.Linq;
+using kcsj.Models;
+
+namespace kcsj.Services
+{
+    public static class DataStore
+    {
+        public static List<KnownPoint> KnownPoints { get; private set; } = new();
+        public static List<Observation> Observations { get; private set; } = new();
+
+        public static string DataSource { get; private set; } = "";
+
+        public static bool HasData
+        {
+            get
+            {
+                return KnownPoints.Count > 0 && Observations.Count > 0;
+            }
+        }
+
+        public static void SetData(
+            List<KnownPoint> knownPoints,
+            List<Observation> observations,
+            string dataSource)
+        {
+            if (knownPoints == null || knownPoints.Count == 0)
+            {
+                throw new ArgumentException("已知点数据为空，不能保存数据。");
+            }
+
+            if (observations == null || observations.Count == 0)
+            {
+                throw new ArgumentException("观测数据为空，不能保存数据。");
+            }
+
+            KnownPoints = knownPoints.ToList();
+            Observations = observations.ToList();
+            DataSource = dataSource;
+
+            LogService.AddLog($"数据已更新，来源：{dataSource}");
+            LogService.AddLog($"已知点数量：{KnownPoints.Count}");
+            LogService.AddLog($"观测数据数量：{Observations.Count}");
+        }
+
+        public static void Clear()
+        {
+            KnownPoints.Clear();
+            Observations.Clear();
+            DataSource = "";
+
+            LogService.AddLog("数据已清空。");
+        }
+    }
+}