/// <summary>Trigonometric Hyperbolic Cosine (Cosinus hyperbolicus) of this <c>Complex</c>.</summary>
public Complex Cosh()
{
if (IsReal)
{
return(new Complex(Trig.Cosh(real), 0d));
}
return(new Complex(Trig.Cosh(real) * Trig.Cos(imag), Trig.Sinh(real) * Trig.Sin(imag)));
}
/// <summary>Exponential of this <c>Complex</c> (exp(x), E^x).</summary>
public Complex Exp()
{
double exp = Math.Exp(real);
if (IsReal)
{
return(new Complex(exp, 0d));
}
return(new Complex(exp * Trig.Cos(imag), exp * Trig.Sin(imag)));
}
/// <summary>
/// Returns e raised to the power specified by a complex number.
/// </summary>
/// <returns>The number e raised to the power <paramref name="value" />.</returns>
/// <param name="value">A complex number that specifies a power.</param>
public static Complex Exp(Complex value)
{
var exp = Math.Exp(value.Real);
if (value.IsReal())
{
return(new Complex(exp, 0.0));
}
return(new Complex(exp * Trig.Cos(value.Imaginary), exp * Trig.Sin(value.Imaginary)));
}
/// <summary>Trigonometric Hyperbolic Cotangent (Cotangens hyperbolicus) of this <c>Complex</c>.</summary>
public Complex Coth()
{
if (IsReal)
{
return(new Complex(Trig.Coth(real), 0d));
}
double sini = Trig.Sin(imag);
double sinhr = Trig.Sinh(real);
double denom = sini * sini + sinhr * sinhr;
return(new Complex(sinhr * Trig.Cosh(real) / denom, sini * Trig.Cos(imag) / denom));
}
/// <summary>Trigonometric Hyperbolic Tangent (Tangens hyperbolicus) of this <c>Complex</c>.</summary>
public Complex Tanh()
{
if (IsReal)
{
return(new Complex(Trig.Tanh(real), 0d));
}
double cosi = Trig.Cos(imag);
double sinhr = Trig.Sinh(real);
double denom = cosi * cosi + sinhr * sinhr;
return(new Complex(Trig.Cosh(real) * sinhr / denom, cosi * Trig.Sin(imag) / denom));
}
/// <summary>Trigonometric Cosecant (Cosekans) of this <c>Complex</c>.</summary>
public Complex Csc()
{
if (IsReal)
{
return(new Complex(Trig.Csc(real), 0d));
}
double sinr = Trig.Sin(real);
double sinhi = Trig.Sinh(imag);
double denom = sinr * sinr + sinhi * sinhi;
return(new Complex(sinr * Trig.Cosh(imag) / denom, -Trig.Cos(real) * sinhi / denom));
}
/// <summary>Trigonometric Secant (Sekans) of this <c>Complex</c>.</summary>
public Complex Sec()
{
if (IsReal)
{
return(new Complex(Trig.Sec(real), 0d));
}
double cosr = Trig.Cos(real);
double sinhi = Trig.Sinh(imag);
double denom = cosr * cosr + sinhi * sinhi;
return(new Complex(cosr * Trig.Cosh(imag) / denom, Trig.Sin(real) * sinhi / denom));
}
public static Complex Sin(Complex value)
{
return(Trig.Sin(value));
}
