public override Point Fun(Point p)
{
// var r = VariationHelper.R(p);
// var theta = VariationHelper.Theta(p);
// return new Point(
// Math.Sin(theta) / r,
// r * Math.Cos(theta));
var preSqrt = VariationHelper.PreSqrt(p);
return(new Point(W * VariationHelper.PreSinA(p, preSqrt) / preSqrt,
W * VariationHelper.PreCosA(p, preSqrt) * preSqrt));
}
public override Point Fun(Point p)
{
// var r = VariationHelper.R(p);
// var theta = VariationHelper.Theta(p);
// return new Point(
// W * Math.Sin(theta) * Math.Cos(r),
// W * Math.Cos(theta) * Math.Sin(r));
var preSqrt = VariationHelper.PreSqrt(p);
var preSinA = VariationHelper.PreSinA(p, preSqrt); //xyzPoint.getPrecalcSinA();
var preCosA = VariationHelper.PreCosA(p, preSqrt); //xyzPoint.getPrecalcCosA();
var sin = Math.Sin(preSqrt);
return(new Point(W * preSinA * Math.Cos(preSqrt), W * preCosA * sin));
}
public override Point Fun(Point p)
{
// var theta = VariationHelper.Theta(p);
// var sin = Math.Sin(theta);
// var q = W * Math.Pow(VariationHelper.R(p), sin);
// return new Point(q * Math.Cos(theta), q * sin);
var preSqrt = VariationHelper.PreSqrt(p);
var preSinA = VariationHelper.PreSinA(p, preSqrt);
var preCosA = VariationHelper.PreCosA(p, preSqrt);
var n2 = W * Math.Pow(preSqrt, preSinA);
return(new Point(n2 * preCosA, n2 * preSinA));
}
public override Point Fun(Point p)
{
// var x = p.X;
// var y = p.Y;
// var q = 1.0 / VariationHelper.R(p);
// return new Point(
// q * (x - y) * (x + y),
// q * (2.0 * x * y));
var preSqrt = VariationHelper.PreSqrt(p);
var preSinA = VariationHelper.PreSinA(p, preSqrt);
var preCosA = VariationHelper.PreCosA(p, preSqrt);
return(new Point(W * (preSinA * p.X - preCosA * p.Y),
W * (preCosA * p.X + preSinA * p.Y)));
}
public override Point Fun(Point p)
{
// var r = VariationHelper.R(p);
// var theta = VariationHelper.Theta(p);
// var c2 = C * C;
// var q = (r + c2) % (2.0 * c2) - c2 + r * (1.0 - c2);
// var dx = q * Math.Cos(theta);
// var dy = q * Math.Sin(theta);
// return new Point(dx, dy);
// var coeff20 = E;
// var n2 = coeff20 * coeff20 + 1.0E-300;
var preSqrt = VariationHelper.PreSqrt(p);
var n3 = preSqrt + _n2 - (int)((preSqrt + _n2) / (2.0 * _n2)) * 2 * _n2 - _n2 +
preSqrt * (1.0 - _n2);
return(new Point(
n3 * VariationHelper.PreCosA(p, preSqrt),
n3 * VariationHelper.PreSinA(p, preSqrt)
));
}
public override Point Fun(Point p)
{
// var r = VariationHelper.R(p);
// var theta = VariationHelper.Theta(p);
// var q = 1.0 / r;
// return new Point(
// q * (Math.Cos(theta) + Math.Sin(r)),
// q * (Math.Sin(theta) - Math.Cos(r))
// );
var preSqrt = VariationHelper.PreSqrt(p);
var preSinA = VariationHelper.PreSinA(p, preSqrt);
var preCosA = VariationHelper.PreCosA(p, preSqrt);
var sin = Math.Sin(preSqrt);
var cos = Math.Cos(preSqrt);
var n2 = W / preSqrt;
return(new Point(
(preCosA + sin) * n2,
(preSinA - cos) * n2
));
}