Class Hyperbola

java.lang.Object
org.episteme.core.mathematics.geometry.curves.Hyperbola
public class Hyperbola extends Object
Represents a hyperbola in 2D space.

A hyperbola is defined by the equation: (x-h)²/a² - (y-k)²/b² = 1 where (h,k) is the center, a is the semi-transverse axis, and b is the semi-conjugate axis.

Since:
1.0
Author:
Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

  • Constructor Details

    • Hyperbola

      public Hyperbola(double centerX, double centerY, double a, double b)
      Creates a hyperbola centered at (h, k) with semi-axes a and b.

    • Hyperbola

      public Hyperbola(double centerX, double centerY, double a, double b, double rotation)
      Creates a rotated hyperbola.

  • Method Details

    • getCenterX

      public double getCenterX()

    • getCenterY

      public double getCenterY()

    • getSemiMajorAxis

      public double getSemiMajorAxis()

    • getSemiMinorAxis

      public double getSemiMinorAxis()

    • getRotation

      public double getRotation()

    • getFocalDistance

      public double getFocalDistance()
      Returns the foci distance from center: c = sqrt(a² + b²).

    • getRightFocus

      public Point2D getRightFocus()
      Returns the right focus.

    • getLeftFocus

      public Point2D getLeftFocus()
      Returns the left focus.

    • getEccentricity

      public double getEccentricity()
      Returns the eccentricity e = c/a.

    • pointOnRightBranch

      public Point2D pointOnRightBranch(double t)
      Returns a point on the right branch at parameter t.

    • pointOnLeftBranch

      public Point2D pointOnLeftBranch(double t)
      Returns a point on the left branch at parameter t.

    • getAsymptoteSlopes

      public double[] getAsymptoteSlopes()
      Returns the asymptote slopes: ±b/a

    • containsPoint

      public boolean containsPoint(Point2D p, double tolerance)
      Checks if a point is on the hyperbola (within tolerance).

    • toString

      public String toString()
      Overrides:
      toString in class Object