src/main/java/org/mariadb/jdbc/plugin/authentication/standard/ed25519/math/Curve.java

package org.mariadb.jdbc.plugin.authentication.standard.ed25519.math;

import java.io.Serializable;

/**
 * A twisted Edwards curve. Points on the curve satisfy $-x^2 + y^2 = 1 + d x^2y^2$
 *
 * @author str4d
 */
public class Curve implements Serializable {
  private static final long serialVersionUID = 4578920872509827L;
  private final Field f;
  private final FieldElement d;
  private final FieldElement d2;
  private final FieldElement I;

  private final GroupElement zeroP2;
  private final GroupElement zeroP3;
  private final GroupElement zeroP3PrecomputedDouble;
  private final GroupElement zeroPrecomp;

  public Curve(Field f, byte[] d, FieldElement I) {
    this.f = f;
    this.d = f.fromByteArray(d);
    this.d2 = this.d.add(this.d);
    this.I = I;

    FieldElement zero = f.ZERO;
    FieldElement one = f.ONE;
    zeroP2 = GroupElement.p2(this, zero, one, one);
    zeroP3 = GroupElement.p3(this, zero, one, one, zero, false);
    zeroP3PrecomputedDouble = GroupElement.p3(this, zero, one, one, zero, true);
    zeroPrecomp = GroupElement.precomp(this, one, one, zero);
  }

  public Field getField() {
    return f;
  }

  public FieldElement getD() {
    return d;
  }

  public FieldElement get2D() {
    return d2;
  }

  public FieldElement getI() {
    return I;
  }

  public GroupElement getZero(GroupElement.Representation repr) {
    switch (repr) {
      case P2:
        return zeroP2;
      case P3:
        return zeroP3;
      case P3PrecomputedDouble:
        return zeroP3PrecomputedDouble;
      case PRECOMP:
        return zeroPrecomp;
      default:
        return null;
    }
  }

  public GroupElement createPoint(byte[] P, boolean precompute) {
    return new GroupElement(this, P, precompute);
  }

  @Override
  public int hashCode() {
    return f.hashCode() ^ d.hashCode() ^ I.hashCode();
  }

  @Override
  public boolean equals(Object o) {
    if (o == this) return true;
    if (!(o instanceof Curve)) return false;
    Curve c = (Curve) o;
    return f.equals(c.getField()) && d.equals(c.getD()) && I.equals(c.getI());
  }
}