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Trig: improve confusing/wrong inline docs and argument naming #138

optimization-1
Christoph Ruegg 13 years ago
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7a4e4c079c
commit
6be3117f66
1 changed files with 197 additions and 415 deletions
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  1. 612
      src/Numerics/Trigonometry.cs

612
src/Numerics/Trigonometry.cs
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@ -4,7 +4,7 @@
// http://github.com/mathnet/mathnet-numerics
// http://mathnetnumerics.codeplex.com
//
// Copyright (c) 2009-2010 Math.NET
// Copyright (c) 2009-2013 Math.NET
//
// Permission is hereby granted, free of charge, to any person
// obtaining a copy of this software and associated documentation
@ -49,12 +49,8 @@ namespace MathNet.Numerics
/// <summary>
/// Converts a degree (360-periodic) angle to a grad (400-periodic) angle.
/// </summary>
/// <param name="degree">
/// The degree to convert.
/// </param>
/// <returns>
/// The converted grad angle.
/// </returns>
/// <param name="degree">The degree to convert.</param>
/// <returns>The converted grad angle.</returns>
public static double DegreeToGrad(double degree)
{
return degree * DegreeToGradConstant;
@ -63,12 +59,8 @@ namespace MathNet.Numerics
/// <summary>
/// Converts a degree (360-periodic) angle to a radian (2*Pi-periodic) angle.
/// </summary>
/// <param name="degree">
/// The degree to convert.
/// </param>
/// <returns>
/// The converted radian angle.
/// </returns>
/// <param name="degree">The degree to convert.</param>
/// <returns>The converted radian angle.</returns>
public static double DegreeToRadian(double degree)
{
return degree * Constants.Degree;
@ -77,12 +69,8 @@ namespace MathNet.Numerics
/// <summary>
/// Converts a grad (400-periodic) angle to a degree (360-periodic) angle.
/// </summary>
/// <param name="grad">
/// The grad to convert.
/// </param>
/// <returns>
/// The converted degree.
/// </returns>
/// <param name="grad">The grad to convert.</param>
/// <returns>The converted degree.</returns>
public static double GradToDegree(double grad)
{
return grad * 0.9;
@ -91,12 +79,8 @@ namespace MathNet.Numerics
/// <summary>
/// Converts a grad (400-periodic) angle to a radian (2*Pi-periodic) angle.
/// </summary>
/// <param name="grad">
/// The grad to convert.
/// </param>
/// <returns>
/// The converted radian.
/// </returns>
/// <param name="grad">The grad to convert.</param>
/// <returns>The converted radian.</returns>
public static double GradToRadian(double grad)
{
return grad * Constants.Grad;
@ -105,12 +89,8 @@ namespace MathNet.Numerics
/// <summary>
/// Converts a radian (2*Pi-periodic) angle to a degree (360-periodic) angle.
/// </summary>
/// <param name="radian">
/// The radian to convert.
/// </param>
/// <returns>
/// The converted degree.
/// </returns>
/// <param name="radian">The radian to convert.</param>
/// <returns>The converted degree.</returns>
public static double RadianToDegree(double radian)
{
return radian / Constants.Degree;
@ -119,26 +99,19 @@ namespace MathNet.Numerics
/// <summary>
/// Converts a radian (2*Pi-periodic) angle to a grad (400-periodic) angle.
/// </summary>
/// <param name="radian">
/// The radian to convert.
/// </param>
/// <returns>
/// The converted grad.
/// </returns>
/// <param name="radian">The radian to convert.</param>
/// <returns>The converted grad.</returns>
public static double RadianToGrad(double radian)
{
return radian / Constants.Grad;
}
/// <summary>
/// Trigonometric Sine of an angle in radian
/// Trigonometric Sine of an angle in radian, or opposite / hypotenuse.
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The sine of the radian angle.
/// </returns>
/// <param name="radian">The angle in radian.</param>
/// <returns>The sine of the radian angle.</returns>
public static double Sin(double radian)
{
return Math.Sin(radian);
@ -147,12 +120,8 @@ namespace MathNet.Numerics
/// <summary>
/// Trigonometric Sine of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The sine of the complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The sine of the complex number.</returns>
public static Complex Sin(this Complex value)
{
if (value.IsReal())
@ -166,14 +135,10 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Cosine of an angle in radian.
/// Trigonometric Cosine of an angle in radian, or adjacent / hypotenuse.
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The cosine of an angle in radian.
/// </returns>
/// <param name="radian">The angle in radian.</param>
/// <returns>The cosine of an angle in radian.</returns>
public static double Cos(double radian)
{
return Math.Cos(radian);
@ -182,12 +147,8 @@ namespace MathNet.Numerics
/// <summary>
/// Trigonometric Cosine of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The cosine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The cosine of a complex number.</returns>
public static Complex Cos(this Complex value)
{
if (value.IsReal())
@ -201,14 +162,10 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Tangent of an angle in radian
/// Trigonometric Tangent of an angle in radian, or opposite / adjacent.
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The tangent of the radian angle.
/// </returns>
/// <param name="radian">The angle in radian.</param>
/// <returns>The tangent of the radian angle.</returns>
public static double Tan(double radian)
{
return Math.Tan(radian);
@ -217,12 +174,8 @@ namespace MathNet.Numerics
/// <summary>
/// Trigonometric Tangent of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The tangent of the complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The tangent of the complex number.</returns>
public static Complex Tan(this Complex value)
{
if (value.IsReal())
@ -238,14 +191,10 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Cotangent of an angle in radian.
/// Trigonometric Cotangent of an angle in radian, or adjacent / opposite. Reciprocal of the tangent.
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The cotangent of an angle in radian.
/// </returns>
/// <param name="radian">The angle in radian.</param>
/// <returns>The cotangent of an angle in radian.</returns>
public static double Cot(double radian)
{
return 1 / Math.Tan(radian);
@ -254,12 +203,8 @@ namespace MathNet.Numerics
/// <summary>
/// Trigonometric Cotangent of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The cotangent of the complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The cotangent of the complex number.</returns>
public static Complex Cot(this Complex value)
{
if (value.IsReal())
@ -275,14 +220,10 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Secant of an angle in radian
/// Trigonometric Secant of an angle in radian, or hypotenuse / adjacent. Reciprocal of the cosine.
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The secant of the radian angle.
/// </returns>
/// <param name="radian">The angle in radian.</param>
/// <returns>The secant of the radian angle.</returns>
public static double Sec(double radian)
{
return 1 / Math.Cos(radian);
@ -291,12 +232,8 @@ namespace MathNet.Numerics
/// <summary>
/// Trigonometric Secant of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The secant of the complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The secant of the complex number.</returns>
public static Complex Sec(this Complex value)
{
if (value.IsReal())
@ -312,14 +249,10 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Cosecant of an angle in radian.
/// Trigonometric Cosecant of an angle in radian, or hypotenuse / opposite. Reciprocal of the sine.
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// Cosecant of an angle in radian.
/// </returns>
/// <param name="radian">The angle in radian.</param>
/// <returns>Cosecant of an angle in radian.</returns>
public static double Csc(double radian)
{
return 1 / Math.Sin(radian);
@ -328,12 +261,8 @@ namespace MathNet.Numerics
/// <summary>
/// Trigonometric Cosecant of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The cosecant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The cosecant of a complex number.</returns>
public static Complex Csc(this Complex value)
{
if (value.IsReal())
@ -348,29 +277,22 @@ namespace MathNet.Numerics
return new Complex(sinr * Cosh(value.Imaginary) / denom, -Cos(value.Real) * sinhi / denom);
}
/// <summary>
/// Trigonometric Arc Sine in radian
/// Trigonometric principal Arc Sine in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse sine of the radian angle.
/// </returns>
public static double Asin(double radian)
/// <param name="opposite">The opposite for a unit hypotenuse (i.e. opposite / hyptenuse).</param>
/// <returns>The angle in radian.</returns>
public static double Asin(double opposite)
{
return Math.Asin(radian);
return Math.Asin(opposite);
}
/// <summary>
/// Trigonometric Arc Sine of this <c>Complex</c> number.
/// Trigonometric principal Arc Sine of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The arc sine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The arc sine of a complex number.</returns>
public static Complex Asin(this Complex value)
{
if (value.Imaginary > 0 || value.Imaginary == 0d && value.Real < 0)
@ -382,31 +304,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Arc Cosine in radian
/// Trigonometric principal Arc Cosine in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse cosine of the radian angle.
/// </returns>
/// <exception cref="ArgumentOutOfRangeException">
/// if 1 &lt; <paramref name="radian"/> or <paramref name="radian"/> &lt; -1.
/// </exception>
public static double Acos(double radian)
/// <param name="adjacent">The adjacent for a unit hypotenuse (i.e. adjacent / hypotenuse).</param>
/// <returns>The angle in radian.</returns>
public static double Acos(double adjacent)
{
return Math.Acos(radian);
return Math.Acos(adjacent);
}
/// <summary>
/// Trigonometric Arc Cosine of this <c>Complex</c> number.
/// Trigonometric principal Arc Cosine of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The arc cosine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The arc cosine of a complex number.</returns>
public static Complex Acos(this Complex value)
{
if (value.Imaginary < 0 || value.Imaginary == 0d && value.Real > 0)
@ -418,28 +329,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Arc Tangent in radian
/// Trigonometric principal Arc Tangent in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse tangent of the radian angle.
/// </returns>
public static double Atan(double radian)
/// <param name="opposite">The opposite for a unit adjacent (i.e. opposite / adjacent).</param>
/// <returns>The angle in radian.</returns>
public static double Atan(double opposite)
{
return Math.Atan(radian);
return Math.Atan(opposite);
}
/// <summary>
/// Trigonometric Arc Tangent of this <c>Complex</c> number.
/// Trigonometric principal Arc Tangent of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The arc tangent of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The arc tangent of a complex number.</returns>
public static Complex Atan(this Complex value)
{
var iz = new Complex(-value.Imaginary, value.Real); // I*this
@ -447,28 +350,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Arc Cotangent in radian
/// Trigonometric principal Arc Cotangent in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse cotangent of the radian angle.
/// </returns>
public static double Acot(double radian)
/// <param name="adjacent">The adjacent for a unit opposite (i.e. adjacent / opposite).</param>
/// <returns>The angle in radian.</returns>
public static double Acot(double adjacent)
{
return Math.Atan(1 / radian);
return Math.Atan(1 / adjacent);
}
/// <summary>
/// Trigonometric Arc Cotangent of this <c>Complex</c> number.
/// Trigonometric principal Arc Cotangent of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The arc cotangent of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The arc cotangent of a complex number.</returns>
public static Complex Acot(this Complex value)
{
if (value.IsZero())
@ -481,28 +376,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Arc Secant in radian
/// Trigonometric principal Arc Secant in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse secant of the radian angle.
/// </returns>
public static double Asec(double radian)
/// <param name="hypotenuse">The hypotenuse for a unit adjacent (i.e. hypotenuse / adjacent).</param>
/// <returns>The angle in radian.</returns>
public static double Asec(double hypotenuse)
{
return Math.Acos(1 / radian);
return Math.Acos(1 / hypotenuse);
}
/// <summary>
/// Trigonometric Arc Secant of this <c>Complex</c> number.
/// Trigonometric principal Arc Secant of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The arc secant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The arc secant of a complex number.</returns>
public static Complex Asec(this Complex value)
{
var inv = 1 / value;
@ -510,60 +397,42 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Arc Cosecant in radian
/// Trigonometric principal Arc Cosecant in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse cosecant of the radian angle.
/// </returns>
/// <exception cref="ArgumentOutOfRangeException">
/// if -1 &lt; <paramref name="radian"/> &lt; 1.
/// </exception>
public static double Acsc(double radian)
/// <param name="hypotenuse">The hypotenuse for a unit opposite (i.e. hypotenuse / opposite).</param>
/// <returns>The angle in radian.</returns>
public static double Acsc(double hypotenuse)
{
return Math.Asin(1 / radian);
return Math.Asin(1 / hypotenuse);
}
/// <summary>
/// Trigonometric Arc Cosecant of this <c>Complex</c> number.
/// Trigonometric principal Arc Cosecant of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The arc cosecant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The arc cosecant of a complex number.</returns>
public static Complex Acsc(this Complex value)
{
var inv = 1 / value;
return -Complex.ImaginaryOne * ((Complex.ImaginaryOne * inv) + (1 - inv.Square()).SquareRoot()).Ln();
}
/// <summary>
/// Trigonometric Hyperbolic Sine
/// Hyperbolic Sine
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The hyperbolic sine of the radian angle.
/// </returns>
public static double Sinh(double radian)
/// <param name="angle">The hyperbolic angle, i.e. the area of the hyperbolic sector.</param>
/// <returns>The hyperbolic sine of the angle.</returns>
public static double Sinh(double angle)
{
return (Math.Exp(radian) - Math.Exp(-radian)) / 2;
return (Math.Exp(angle) - Math.Exp(-angle)) / 2;
}
/// <summary>
/// Trigonometric Hyperbolic Sine of a <c>Complex</c> number.
/// Hyperbolic Sine of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic sine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic sine of a complex number.</returns>
public static Complex Sinh(this Complex value)
{
if (value.IsReal())
@ -577,28 +446,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Cosine
/// Hyperbolic Cosine
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The hyperbolic Cosine of the radian angle.
/// </returns>
public static double Cosh(double radian)
/// <param name="angle">The hyperbolic angle, i.e. the area of the hyperbolic sector.</param>
/// <returns>The hyperbolic Cosine of the angle.</returns>
public static double Cosh(double angle)
{
return (Math.Exp(radian) + Math.Exp(-radian)) / 2;
return (Math.Exp(angle) + Math.Exp(-angle)) / 2;
}
/// <summary>
/// Trigonometric Hyperbolic Cosine of a <c>Complex</c> number.
/// Hyperbolic Cosine of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic cosine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic cosine of a complex number.</returns>
public static Complex Cosh(this Complex value)
{
if (value.IsReal())
@ -612,40 +473,32 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Tangent in radian
/// Hyperbolic Tangent in radian
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The hyperbolic tangent of the radian angle.
/// </returns>
public static double Tanh(double radian)
/// <param name="angle">The hyperbolic angle, i.e. the area of the hyperbolic sector.</param>
/// <returns>The hyperbolic tangent of the angle.</returns>
public static double Tanh(double angle)
{
if (radian > 19.1)
if (angle > 19.1)
{
return 1.0;
}
if (radian < -19.1)
if (angle < -19.1)
{
return -1;
}
var e1 = Math.Exp(radian);
var e2 = Math.Exp(-radian);
var e1 = Math.Exp(angle);
var e2 = Math.Exp(-angle);
return (e1 - e2) / (e1 + e2);
}
/// <summary>
/// Trigonometric Hyperbolic Tangent of a <c>Complex</c> number.
/// Hyperbolic Tangent of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic tangent of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic tangent of a complex number.</returns>
public static Complex Tanh(this Complex value)
{
if (value.IsReal())
@ -667,40 +520,32 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Cotangent
/// Hyperbolic Cotangent
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The hyperbolic cotangent of the radian angle.
/// </returns>
public static double Coth(double radian)
/// <param name="angle">The hyperbolic angle, i.e. the area of the hyperbolic sector.</param>
/// <returns>The hyperbolic cotangent of the angle.</returns>
public static double Coth(double angle)
{
if (radian > 19.115)
if (angle > 19.115)
{
return 1.0;
}
if (radian < -19.115)
if (angle < -19.115)
{
return -1;
}
var e1 = Math.Exp(radian);
var e2 = Math.Exp(-radian);
var e1 = Math.Exp(angle);
var e2 = Math.Exp(-angle);
return (e1 + e2) / (e1 - e2);
}
/// <summary>
/// Trigonometric Hyperbolic Cotangent of a <c>Complex</c> number.
/// Hyperbolic Cotangent of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic cotangent of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic cotangent of a complex number.</returns>
public static Complex Coth(this Complex value)
{
if (value.IsReal())
@ -722,28 +567,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Secant
/// Hyperbolic Secant
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The hyperbolic secant of the radian angle.
/// </returns>
public static double Sech(double radian)
/// <param name="angle">The hyperbolic angle, i.e. the area of the hyperbolic sector.</param>
/// <returns>The hyperbolic secant of the angle.</returns>
public static double Sech(double angle)
{
return 1 / Cosh(radian);
return 1 / Cosh(angle);
}
/// <summary>
/// Trigonometric Hyperbolic Secant of a <c>Complex</c> number.
/// Hyperbolic Secant of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic secant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic secant of a complex number.</returns>
public static Complex Sech(this Complex value)
{
if (value.IsReal())
@ -762,28 +599,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Cosecant
/// Hyperbolic Cosecant
/// </summary>
/// <param name="radian">
/// The angle in radian.
/// </param>
/// <returns>
/// The hyperbolic cosecant of the radian angle.
/// </returns>
public static double Csch(double radian)
/// <param name="angle">The hyperbolic angle, i.e. the area of the hyperbolic sector.</param>
/// <returns>The hyperbolic cosecant of the angle.</returns>
public static double Csch(double angle)
{
return 1 / Sinh(radian);
return 1 / Sinh(angle);
}
/// <summary>
/// Trigonometric Hyperbolic Cosecant of a <c>Complex</c> number.
/// Hyperbolic Cosecant of a <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic cosecant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic cosecant of a complex number.</returns>
public static Complex Csch(this Complex value)
{
if (value.IsReal())
@ -801,113 +630,82 @@ namespace MathNet.Numerics
return 2 * exp / (exp.Square() - 1);
}
/// <summary>
/// Trigonometric Hyperbolic Area Sine
/// Hyperbolic Area Sine
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse hyperbolic sine of the radian angle.
/// </returns>
public static double Asinh(double radian)
/// <param name="value">The real value.</param>
/// <returns>The hyperbolic angle, i.e. the area of its hyperbolic sector.</returns>
public static double Asinh(double value)
{
return Math.Log(radian + Math.Sqrt((radian * radian) + 1), Math.E);
return Math.Log(value + Math.Sqrt((value * value) + 1), Math.E);
}
/// <summary>
/// Trigonometric Hyperbolic Arc Sine of this <c>Complex</c> number.
/// Hyperbolic Area Sine of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic arc sine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic arc sine of a complex number.</returns>
public static Complex Asinh(this Complex value)
{
return (value + (value.Square() + 1).SquareRoot()).Ln();
}
/// <summary>
/// Trigonometric Hyperbolic Area Cosine
/// Hyperbolic Area Cosine
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse hyperbolic cosine of the radian angle.
/// </returns>
public static double Acosh(double radian)
/// <param name="value">The real value.</param>
/// <returns>The hyperbolic angle, i.e. the area of its hyperbolic sector.</returns>
public static double Acosh(double value)
{
return Math.Log(radian + (Math.Sqrt(radian - 1) * Math.Sqrt(radian + 1)), Math.E);
return Math.Log(value + (Math.Sqrt(value - 1) * Math.Sqrt(value + 1)), Math.E);
}
/// <summary>
/// Trigonometric Hyperbolic Arc Cosine of this <c>Complex</c> number.
/// Hyperbolic Area Cosine of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic arc cosine of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic arc cosine of a complex number.</returns>
public static Complex Acosh(this Complex value)
{
return (value + ((value - 1).SquareRoot() * (value + 1).SquareRoot())).Ln();
}
/// <summary>
/// Trigonometric Hyperbolic Area Tangent
/// Hyperbolic Area Tangent
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse hyperbolic tangent of the radian angle.
/// </returns>
public static double Atanh(double radian)
/// <param name="value">The real value.</param>
/// <returns>The hyperbolic angle, i.e. the area of its hyperbolic sector.</returns>
public static double Atanh(double value)
{
return 0.5 * Math.Log((1 + radian) / (1 - radian), Math.E);
return 0.5 * Math.Log((1 + value) / (1 - value), Math.E);
}
/// <summary>
/// Trigonometric Hyperbolic Arc Tangent of this <c>Complex</c> number.
/// Hyperbolic Area Tangent of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic arc tangent of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic arc tangent of a complex number.</returns>
public static Complex Atanh(this Complex value)
{
return 0.5 * ((1 + value).Ln() - (1 - value).Ln());
}
/// <summary>
/// Trigonometric Hyperbolic Arc Cotangent
/// Hyperbolic Area Cotangent
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse hyperbolic cotangent of the radian angle.
/// </returns>
public static double Acoth(double radian)
/// <param name="value">The real value.</param>
/// <returns>The hyperbolic angle, i.e. the area of its hyperbolic sector.</returns>
public static double Acoth(double value)
{
return 0.5 * Math.Log((radian + 1) / (radian - 1), Math.E);
return 0.5 * Math.Log((value + 1) / (value - 1), Math.E);
}
/// <summary>
/// Trigonometric Hyperbolic Arc Cotangent of this <c>Complex</c> number.
/// Hyperbolic Area Cotangent of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic arc cotangent of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic arc cotangent of a complex number.</returns>
public static Complex Acoth(this Complex value)
{
var inv = 1.0 / value;
@ -915,28 +713,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Area Secant
/// Hyperbolic Area Secant
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse hyperbolic secant of the radian angle.
/// </returns>
public static double Asech(double radian)
/// <param name="value">The real value.</param>
/// <returns>The hyperbolic angle, i.e. the area of its hyperbolic sector.</returns>
public static double Asech(double value)
{
return Acosh(1 / radian);
return Acosh(1 / value);
}
/// <summary>
/// Trigonometric Hyperbolic Arc Secant of this <c>Complex</c> number.
/// Hyperbolic Area Secant of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic arc secant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic arc secant of a complex number.</returns>
public static Complex Asech(this Complex value)
{
var inv = 1 / value;
@ -944,28 +734,20 @@ namespace MathNet.Numerics
}
/// <summary>
/// Trigonometric Hyperbolic Arc Cosecant
/// Hyperbolic Area Cosecant
/// </summary>
/// <param name="radian">
/// The angle in radian angle.
/// </param>
/// <returns>
/// The inverse hyperbolic cosecant of the radian angle.
/// </returns>
public static double Acsch(double radian)
/// <param name="value">The real value.</param>
/// <returns>The hyperbolic angle, i.e. the area of its hyperbolic sector.</returns>
public static double Acsch(double value)
{
return Asinh(1 / radian);
return Asinh(1 / value);
}
/// <summary>
/// Trigonometric Hyperbolic Arc Cosecant of this <c>Complex</c> number.
/// Hyperbolic Area Cosecant of this <c>Complex</c> number.
/// </summary>
/// <param name="value">
/// The complex value.
/// </param>
/// <returns>
/// The hyperbolic arc cosecant of a complex number.
/// </returns>
/// <param name="value">The complex value.</param>
/// <returns>The hyperbolic arc cosecant of a complex number.</returns>
public static Complex Acsch(this Complex value)
{
var inv = 1 / value;

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