Complex: use common short names for exp/log/ln extension methods

src/FSharp/Complex.fs

@@ -62,8 +62,8 @@ namespace MathNet.Numerics
         let sec (x:complex) = Trig.Sec(x)
         let csc (x:complex) = Trig.Csc(x)
 
-        let asin x = Complex.Asin(x)
+        let asin (x:complex) = Trig.Asin(x) // numerically more stable than Complex.Asin
-        let acos x = Complex.Acos(x)
+        let acos (x:complex) = Trig.Acos(x) // numerically more stable than Complex.Acos
         let atan x = Complex.Atan(x)
         let acot (x:complex) = Trig.Acot(x)
         let asec (x:complex) = Trig.Asec(x)
@@ -130,8 +130,8 @@ namespace MathNet.Numerics
         let sec (x:complex32) = ofComplex <| Trig.Sec(x.ToComplex())
         let csc (x:complex32) = ofComplex <| Trig.Csc(x.ToComplex())
 
-        let asin x = Complex32.Asin(x)
+        let asin (x:complex32) = ofComplex <| Trig.Asin(x.ToComplex()) // numerically more stable than Complex.Asin
-        let acos x = Complex32.Acos(x)
+        let acos (x:complex32) = ofComplex <| Trig.Acos(x.ToComplex()) // numerically more stable than Complex.Acos
         let atan x = Complex32.Atan(x)
         let acot (x:complex32) = ofComplex <| Trig.Acot(x.ToComplex())
         let asec (x:complex32) = ofComplex <| Trig.Asec(x.ToComplex())

src/Numerics/ComplexExtensions.cs

@@ -132,7 +132,7 @@ namespace MathNet.Numerics
         /// The exponential of this complex number.
         /// </returns>
         [TargetedPatchingOptOut("Performance critical to inline this type of method across NGen image boundaries")]
-        public static Complex Exponential(this Complex complex)
+        public static Complex Exp(this Complex complex)
         {
             return Complex.Exp(complex);
         }
@@ -145,7 +145,7 @@ namespace MathNet.Numerics
         /// The natural logarithm of this complex number.
         /// </returns>
         [TargetedPatchingOptOut("Performance critical to inline this type of method across NGen image boundaries")]
-        public static Complex NaturalLogarithm(this Complex complex)
+        public static Complex Ln(this Complex complex)
         {
             return Complex.Log(complex);
         }
@@ -155,7 +155,7 @@ namespace MathNet.Numerics
         /// </summary>
         /// <returns>The common logarithm of this complex number.</returns>
         [TargetedPatchingOptOut("Performance critical to inline this type of method across NGen image boundaries")]
-        public static Complex CommonLogarithm(this Complex complex)
+        public static Complex Log10(this Complex complex)
         {
             return Complex.Log10(complex);
         }
@@ -165,7 +165,7 @@ namespace MathNet.Numerics
         /// </summary>
         /// <returns>The logarithm of this complex number.</returns>
         [TargetedPatchingOptOut("Performance critical to inline this type of method across NGen image boundaries")]
-        public static Complex Logarithm(this Complex complex, double baseValue)
+        public static Complex Log(this Complex complex, double baseValue)
         {
             return Complex.Log(complex, baseValue);
         }

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

@@ -77,7 +77,7 @@ namespace MathNet.Numerics.LinearAlgebra.Complex.Factorization
                 var det = Complex.Zero;
                 for (var j = 0; j < CholeskyFactor.RowCount; j++)
                 {
-                    det += 2.0 * CholeskyFactor.At(j, j).NaturalLogarithm();
+                    det += 2.0 * CholeskyFactor.At(j, j).Ln();
                 }
 
                 return det;

src/Numerics/Trigonometry.cs

@@ -378,7 +378,7 @@ namespace MathNet.Numerics
                 return -Asin(-value);
             }
 
-            return -Complex.ImaginaryOne * ((1 - value.Square()).SquareRoot() + (Complex.ImaginaryOne * value)).NaturalLogarithm();
+            return -Complex.ImaginaryOne * ((1 - value.Square()).SquareRoot() + (Complex.ImaginaryOne * value)).Ln();
         }
 
         /// <summary>
@@ -414,7 +414,7 @@ namespace MathNet.Numerics
                 return Constants.Pi - Acos(-value);
             }
 
-            return -Complex.ImaginaryOne * (value + (Complex.ImaginaryOne * (1 - value.Square()).SquareRoot())).NaturalLogarithm();
+            return -Complex.ImaginaryOne * (value + (Complex.ImaginaryOne * (1 - value.Square()).SquareRoot())).Ln();
         }
 
         /// <summary>
@@ -443,7 +443,7 @@ namespace MathNet.Numerics
         public static Complex Atan(this Complex value)
         {
             var iz = new Complex(-value.Imaginary, value.Real); // I*this
-            return new Complex(0, 0.5) * ((1 - iz).NaturalLogarithm() - (1 + iz).NaturalLogarithm());
+            return new Complex(0, 0.5) * ((1 - iz).Ln() - (1 + iz).Ln());
         }
 
         /// <summary>
@@ -477,7 +477,7 @@ namespace MathNet.Numerics
             }
 
             var inv = Complex.ImaginaryOne / value;
-            return (Complex.ImaginaryOne * 0.5) * ((1.0 - inv).NaturalLogarithm() - (1.0 + inv).NaturalLogarithm());
+            return (Complex.ImaginaryOne * 0.5) * ((1.0 - inv).Ln() - (1.0 + inv).Ln());
         }
 
         /// <summary>
@@ -506,7 +506,7 @@ namespace MathNet.Numerics
         public static Complex Asec(this Complex value)
         {
             var inv = 1 / value;
-            return -Complex.ImaginaryOne * (inv + (Complex.ImaginaryOne * (1 - inv.Square()).SquareRoot())).NaturalLogarithm();
+            return -Complex.ImaginaryOne * (inv + (Complex.ImaginaryOne * (1 - inv.Square()).SquareRoot())).Ln();
         }
 
         /// <summary>
@@ -538,7 +538,7 @@ namespace MathNet.Numerics
         public static Complex Acsc(this Complex value)
         {
             var inv = 1 / value;
-            return -Complex.ImaginaryOne * ((Complex.ImaginaryOne * inv) + (1 - inv.Square()).SquareRoot()).NaturalLogarithm();
+            return -Complex.ImaginaryOne * ((Complex.ImaginaryOne * inv) + (1 - inv.Square()).SquareRoot()).Ln();
         }
 
         /// <summary>
@@ -751,7 +751,7 @@ namespace MathNet.Numerics
                 return new Complex(Sech(value.Real), 0.0);
             }
 
-            var exp = value.Exponential();
+            var exp = value.Exp();
 
             if (exp.IsInfinity())
             {
@@ -791,7 +791,7 @@ namespace MathNet.Numerics
                 return new Complex(Csch(value.Real), 0.0);
             }
 
-            var exp = value.Exponential();
+            var exp = value.Exp();
 
             if (exp.IsInfinity())
             {
@@ -826,7 +826,7 @@ namespace MathNet.Numerics
         /// </returns>
         public static Complex Asinh(this Complex value)
         {
-            return (value + (value.Square() + 1).SquareRoot()).NaturalLogarithm();
+            return (value + (value.Square() + 1).SquareRoot()).Ln();
         }
 
         /// <summary>
@@ -854,7 +854,7 @@ namespace MathNet.Numerics
         /// </returns>
         public static Complex Acosh(this Complex value)
         {
-            return (value + ((value - 1).SquareRoot() * (value + 1).SquareRoot())).NaturalLogarithm();
+            return (value + ((value - 1).SquareRoot() * (value + 1).SquareRoot())).Ln();
         }
 
         /// <summary>
@@ -882,7 +882,7 @@ namespace MathNet.Numerics
         /// </returns>
         public static Complex Atanh(this Complex value)
         {
-            return 0.5 * ((1 + value).NaturalLogarithm() - (1 - value).NaturalLogarithm());
+            return 0.5 * ((1 + value).Ln() - (1 - value).Ln());
         }
 
         /// <summary>
@@ -911,7 +911,7 @@ namespace MathNet.Numerics
         public static Complex Acoth(this Complex value)
         {
             var inv = 1.0 / value;
-            return 0.5 * ((1.0 + inv).NaturalLogarithm() - (1.0 - inv).NaturalLogarithm());
+            return 0.5 * ((1.0 + inv).Ln() - (1.0 - inv).Ln());
         }
 
         /// <summary>
@@ -940,7 +940,7 @@ namespace MathNet.Numerics
         public static Complex Asech(this Complex value)
         {
             var inv = 1 / value;
-            return (inv + ((inv - 1).SquareRoot() * (inv + 1).SquareRoot())).NaturalLogarithm();
+            return (inv + ((inv - 1).SquareRoot() * (inv + 1).SquareRoot())).Ln();
         }
 
         /// <summary>
@@ -969,7 +969,7 @@ namespace MathNet.Numerics
         public static Complex Acsch(this Complex value)
         {
             var inv = 1 / value;
-            return (inv + (inv.Square() + 1).SquareRoot()).NaturalLogarithm();
+            return (inv + (inv.Square() + 1).SquareRoot()).Ln();
         }
     }
 }

src/UnitTests/ComplexTests/ComplexTest.cs

@@ -50,7 +50,7 @@ namespace MathNet.Numerics.UnitTests.ComplexTests
         {
             var value = new Complex(real, imag);
             var expected = new Complex(expectedReal, expectedImag);
-            AssertHelpers.AlmostEqual(expected, value.Exponential(), 15);
+            AssertHelpers.AlmostEqual(expected, value.Exp(), 15);
         }
 
         /// <summary>
@@ -69,7 +69,7 @@ namespace MathNet.Numerics.UnitTests.ComplexTests
         {
             var value = new Complex(real, imag);
             var expected = new Complex(expectedReal, expectedImag);
-            AssertHelpers.AlmostEqual(expected, value.NaturalLogarithm(), 15);
+            AssertHelpers.AlmostEqual(expected, value.Ln(), 15);
         }
 
         /// <summary>