completed UpdateWithGoodIds

LinearAlgebra/Matrix.cs

@@ -12,18 +12,33 @@ public class Matrix2 {
     }
 
     public static Matrix2 Identity(int size) {
-        float[,] I = new float[size, size];
-        for (int i = 0; i < size; i++) I[i, i] = 1.0f;
-        return new Matrix2(I);
+        return Diagonal(1, size);
+        // float[,] resultData = new float[size, size];
+        // for (int i = 0; i < size; i++)
+        //     resultData[i, i] = 1.0f;
+        // return new Matrix2(resultData);
+    }
+
+    public static Matrix2 Diagonal(Matrix1 v) {
+        float[,] resultData = new float[v.magnitude, v.magnitude];
+        for (int ix = 0; ix < v.magnitude; ix++)
+            resultData[ix, ix] = v.data[ix];
+        return new Matrix2(resultData);
+    }
+    public static Matrix2 Diagonal(float f, int size) {
+        float[,] resultData = new float[size, size];
+        for (int ix = 0; ix < size; ix++)
+            resultData[ix, ix] = f;
+        return new Matrix2(resultData);
     }
 
     public Matrix2 Transpose() {
-        float[,] r = new float[this.nCols, this.nRows];
+        float[,] resultData = new float[this.nCols, this.nRows];
         for (uint rowIx = 0; rowIx < this.nRows; rowIx++) {
             for (uint colIx = 0; colIx < this.nCols; colIx++)
-                r[colIx, rowIx] = this.data[rowIx, colIx];
+                resultData[colIx, rowIx] = this.data[rowIx, colIx];
         }
-        return new Matrix2(r);
+        return new Matrix2(resultData);
         // double checked code
     }
 
@@ -90,36 +105,62 @@ public class Matrix2 {
         return A * scalar;
     }
 
+    public Matrix2 Slice(int from, int to) {
+        if (from < 0 || to >= this.nRows)
+            throw new System.ArgumentException("Slice index out of range.");
+
+        float[,] result = new float[to - from, this.nCols];
+        int resultRowIx = 0;
+        for (int rowIx = from; rowIx < to; rowIx++) {
+            for (int colIx = 0; colIx < this.nCols; colIx++) {
+                result[resultRowIx, colIx] = this.data[rowIx, colIx];
+            }
+            resultRowIx++;
+        }
+
+        return new Matrix2(result);
+    }
 }
 
 public class Matrix1 {
     public float[] data { get; }
 
-    public int size => data.GetLength(0);
+    public int magnitude => data.GetLength(0);
 
     public Matrix1(float[] data) {
         this.data = data;
     }
 
     public Matrix2 Transpose() {
-        float[,] r = new float[1, this.size];
-        for (uint colIx = 0; colIx < this.size; colIx++)
+        float[,] r = new float[1, this.magnitude];
+        for (uint colIx = 0; colIx < this.magnitude; colIx++)
             r[1, colIx] = this.data[colIx];
 
         return new Matrix2(r);
     }
 
     public static float Dot(Matrix1 a, Matrix1 b) {
-        if (a.size != b.size)
+        if (a.magnitude != b.magnitude)
             throw new System.ArgumentException("Vectors must be of the same length.");
 
         float result = 0.0f;
-        for (int i = 0; i < a.size; i++) {
+        for (int i = 0; i < a.magnitude; i++) {
             result += a.data[i] * b.data[i];
         }
         return result;
     }
 
+    public Matrix1 Slice(int from, int to) {
+        if (from < 0 || to >= this.magnitude)
+            throw new System.ArgumentException("Slice index out of range.");
+
+        float[] result = new float[to - from];
+        int resultIx = 0;
+        for (int ix = from; ix < to; ix++)
+            result[resultIx++] = this.data[ix];
+
+        return new Matrix1(result);
+    }
 }
 
 public class Matrix {