internal DualVector3(DualNumber x, DualNumber y, DualNumber z) : this()
{
this.x = x; this.y = y; this.z = z;
}
internal DualVector3(Vector3 value, Vector3 derivative) : this()
{
x = new DualNumber(value.x, derivative.x);
y = new DualNumber(value.y, derivative.y);
z = new DualNumber(value.z, derivative.z);
}
internal DualVector3(Vector3 value, int whichIndexIsVariable = -1) : this()
{
x = new DualNumber(value.x, whichIndexIsVariable == 0 ? 1f : 0f);
y = new DualNumber(value.y, whichIndexIsVariable == 1 ? 1f : 0f);
z = new DualNumber(value.z, whichIndexIsVariable == 2 ? 1f : 0f);
}
/// <summary>
/// Calculates an absolute value of dual number
/// </summary>
public static DualNumber Abs(DualNumber value)
{
return(new DualNumber(SMath.Abs(value.Value), value.Derivative * SMath.Sign(value.Value)));
}
/// <summary>
/// Turns an autodiff function to a normal function, assuming that the argument is actually variable
/// </summary>
/// <param name="fn">Autodiff function, such as AutoDiff.Math.Log</param>
/// <returns>A function that takes a float and calculates f(x) and f'(x)</returns>
public static Func <float, DualNumber> Parameterize(Func <DualNumber, DualNumber> fn)
{
return(value => fn(DualNumber.Variable(value)));
}
/// <summary>
/// Calculates a square of dual number
/// </summary>
public static DualNumber Squared(this DualNumber value)
{
return(new DualNumber((float)SMath.Pow(value.Value, 2f), value.Derivative * 2f * value.Value));
}
/// <summary>
/// Calculates a power of dual number
/// </summary>
public static DualNumber Pow(DualNumber value, float power)
{
return(new DualNumber((float)SMath.Pow(value.Value, power), value.Derivative * power * (float)SMath.Pow(value.Value, power - 1f)));
}
/// <summary>
/// Calculates a natural logarithm of dual number
/// </summary>
public static DualNumber Log(DualNumber value)
{
return(new DualNumber((float)SMath.Log(value.Value), value.Derivative / value.Value));
}
/// <summary>
/// Calculates an exponent of dual number
/// </summary>
public static DualNumber Exp(DualNumber value)
{
return(new DualNumber((float)SMath.Exp(value.Value), value.Derivative * (float)SMath.Exp(value.Value)));
}
/// <summary>
/// Calculates a cosine of dual number
/// </summary>
public static DualNumber Cos(DualNumber value)
{
return(new DualNumber((float)SMath.Cos(value.Value), -value.Derivative * (float)SMath.Sin(value.Value)));
}
