sphereCartesian static method

SearchSpace sphereCartesian({ num radius = 1.0, List<num> centre = const <double>[0.0, 0.0, 0, 0], })

Returns a three-dimensional search space with spherical geometry.

• The sphere is centred at centre.
• The coordinates are specified as: [x, y, z] where

Implementation

static SearchSpace sphereCartesian({
  num radius = 1.0,
  List<num> centre = const <double>[0.0, 0.0, 0, 0],
}) {
  // Define intervals.
  final x0 = centre[0];
  final y0 = centre[1];
  final z0 = centre[2];
  final x = FixedInterval(
    x0 - radius,
    x0 + radius,
  );
  final y = ParametricInterval(
    () =>
        y0 -
        sqrt(
          pow(radius, 2) - pow(x.next() - x0, 2),
        ),
    () =>
        y0 +
        sqrt(
          pow(radius, 2) - pow(x.next() - x0, 2),
        ),
  );
  final z = ParametricInterval(
    () =>
        z0 -
        sqrt(
          pow(radius, 2) - pow(y.next() - y0, 2) - pow(x.next() - x0, 2),
        ),
    () =>
        z0 +
        sqrt(
          pow(radius, 2) - pow(y.next() - y0, 2) - pow(x.next() - x0, 2),
        ),
  );
  return SearchSpace.parametric([x, y, z], order: []);
}