LA: Perf, drop some range checks

src/Numerics/LinearAlgebra/Complex/Factorization/Cholesky.cs

@@ -54,7 +54,8 @@ namespace MathNet.Numerics.LinearAlgebra.Complex.Factorization
                 var det = Complex.One;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det *= CholeskyFactor[j, j] * CholeskyFactor[j, j];
+                    var d = CholeskyFactor.At(j, j);
+                    det *= d * d;
                 }
 
                 return det;
@@ -71,7 +72,7 @@ namespace MathNet.Numerics.LinearAlgebra.Complex.Factorization
                 var det = Complex.Zero;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det += 2.0 * CholeskyFactor[j, j].NaturalLogarithm();
+                    det += 2.0 * CholeskyFactor.At(j, j).NaturalLogarithm();
                 }
 
                 return det;

src/Numerics/LinearAlgebra/Complex/Matrix.cs

@@ -302,7 +302,7 @@ namespace MathNet.Numerics.LinearAlgebra.Complex
             {
                 for (var j = 0; j != ColumnCount; j++)
                 {
-                    result[i, j] = -At(i, j);
+                    result.At(i, j, -At(i, j));
                 }
             }
         }

src/Numerics/LinearAlgebra/Complex32/Factorization/Cholesky.cs

@@ -54,7 +54,8 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32.Factorization
                 var det = Complex32.One;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det *= CholeskyFactor[j, j] * CholeskyFactor[j, j];
+                    var d = CholeskyFactor.At(j, j);
+                    det *= d * d;
                 }
 
                 return det;
@@ -71,7 +72,7 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32.Factorization
                 var det = Complex32.Zero;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det += 2.0f * CholeskyFactor[j, j].NaturalLogarithm();
+                    det += 2.0f * CholeskyFactor.At(j, j).NaturalLogarithm();
                 }
 
                 return det;

src/Numerics/LinearAlgebra/Complex32/Matrix.cs

@@ -296,7 +296,7 @@ namespace MathNet.Numerics.LinearAlgebra.Complex32
             {
                 for (var j = 0; j != ColumnCount; j++)
                 {
-                    result[i, j] = -At(i, j);
+                    result.At(i, j, -At(i, j));
                 }
             }
         }

src/Numerics/LinearAlgebra/Double/Factorization/Cholesky.cs

@@ -54,7 +54,8 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 var det = 1.0;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det *= CholeskyFactor[j, j] * CholeskyFactor[j, j];
+                    var d = CholeskyFactor.At(j, j);
+                    det *= d * d;
                 }
 
                 return det;
@@ -71,7 +72,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double.Factorization
                 var det = 0.0;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det += 2 * Math.Log(CholeskyFactor[j, j]);
+                    det += 2 * Math.Log(CholeskyFactor.At(j, j));
                 }
 
                 return det;

src/Numerics/LinearAlgebra/Double/Matrix.cs

@@ -286,7 +286,7 @@ namespace MathNet.Numerics.LinearAlgebra.Double
             {
                 for (var j = 0; j != ColumnCount; j++)
                 {
-                    result[i, j] = -At(i, j);
+                    result.At(i, j, -At(i, j));
                 }
             }
         }

src/Numerics/LinearAlgebra/Generic/Matrix.cs

@@ -29,6 +29,7 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
     using System;
     using System.Collections.Generic;
     using System.Numerics;
+    using System.Runtime;
     using System.Text;
     using Factorization;
     using Numerics;
@@ -36,6 +37,7 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
     using Storage;
     using Threading;
 
+
     /// <summary>
     /// Defines the base class for <c>Matrix</c> classes.
     /// </summary>
@@ -166,7 +168,12 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
         /// to get and set values without range checking.</remarks>
         public T this[int row, int column]
         {
+            [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+            //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
             get { return Storage[row, column]; }
+
+            [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+            //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
             set { Storage[row, column] = value; }
         }
 
@@ -182,6 +189,8 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
         /// <returns>
         /// The requested element.
         /// </returns>
+        [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+        //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
         public T At(int row, int column)
         {
             return Storage.At(row, column);
@@ -199,6 +208,8 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
         /// <param name="value">
         /// The value to set the element to.
         /// </param>
+        [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+        //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
         public void At(int row, int column, T value)
         {
             Storage.At(row, column, value);

src/Numerics/LinearAlgebra/Generic/Vector.cs

@@ -30,8 +30,8 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
     using System.Collections;
     using System.Collections.Generic;
     using System.Numerics;
+    using System.Runtime;
     using System.Text;
-    using Distributions;
     using Numerics;
     using Properties;
     using Storage;
@@ -86,13 +86,20 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
         /// greater than the size of the vector.</exception>
         public T this[int index]
         {
+            [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+            //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
             get { return Storage[index]; }
+
+            [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+            //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
             set { Storage[index] = value;}
         }
 
         /// <summary>Gets the value at the given <paramref name="index"/> without range checking..</summary>
         /// <param name="index">The index of the value to get or set.</param>
-        /// <returns>The value of the vector at the given <paramref name="index"/>.</returns> 
+        /// <returns>The value of the vector at the given <paramref name="index"/>.</returns>
+        [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+        //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
         public T At(int index)
         {
             return Storage.At(index);
@@ -101,6 +108,8 @@ namespace MathNet.Numerics.LinearAlgebra.Generic
         /// <summary>Sets the <paramref name="value"/> at the given <paramref name="index"/> without range checking..</summary>
         /// <param name="index">The index of the value to get or set.</param>
         /// <param name="value">The value to set.</param>
+        [TargetedPatchingOptOut("Performance critical to inline across NGen image boundaries")]
+        //[MethodImpl(MethodImplOptions.AggressiveInlining)] .Net 4.5 only
         public void At(int index, T value)
         {
             Storage.At(index, value);

src/Numerics/LinearAlgebra/Single/Factorization/Cholesky.cs

@@ -54,7 +54,8 @@ namespace MathNet.Numerics.LinearAlgebra.Single.Factorization
                 var det = 1.0f;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det *= CholeskyFactor[j, j] * CholeskyFactor[j, j];
+                    var d = CholeskyFactor.At(j, j);
+                    det *= d * d;
                 }
 
                 return det;
@@ -71,7 +72,7 @@ namespace MathNet.Numerics.LinearAlgebra.Single.Factorization
                 var det = 0.0f;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det += 2.0f * Convert.ToSingle(Math.Log(CholeskyFactor[j, j]));
+                    det += 2.0f * Convert.ToSingle(Math.Log(CholeskyFactor.At(j, j)));
                 }
 
                 return det;

src/Numerics/LinearAlgebra/Single/Matrix.cs

@@ -302,7 +302,7 @@ namespace MathNet.Numerics.LinearAlgebra.Single
             {
                 for (var j = 0; j != ColumnCount; j++)
                 {
-                    result[i, j] = -At(i, j);
+                    result.At(i, j, -At(i, j));
                 }
             }
         }