Fq2.java

/*
 * Copyright ConsenSys AG.
 *
 * Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with
 * the License. You may obtain a copy of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on
 * an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the
 * specific language governing permissions and limitations under the License.
 *
 * SPDX-License-Identifier: Apache-2.0
 */
package org.hyperledger.besu.crypto.altbn128;

import java.math.BigInteger;

/**
 * Adapted from the pc_ecc (Apache 2 License) implementation:
 * https://github.com/ethereum/py_ecc/blob/master/py_ecc/bn128/bn128_field_elements.py
 */
public class Fq2 extends AbstractFqp<Fq2> {

  private static final int DEGREE = 2;

  /**
   * Zero fq2.
   *
   * @return the fq2
   */
  static final Fq2 zero() {
    return new Fq2(new Fq[] {Fq.zero(), Fq.zero()});
  }

  /**
   * One fq2.
   *
   * @return the fq2
   */
  static final Fq2 one() {
    return new Fq2(new Fq[] {Fq.one(), Fq.zero()});
  }

  private static final Fq[] MODULUS_COEFFICIENTS = new Fq[] {Fq.create(1), Fq.create(0)};

  /**
   * Create fq2.
   *
   * @param c0 the c0
   * @param c1 the c1
   * @return the fq2
   */
  public static final Fq2 create(final long c0, final long c1) {
    return create(BigInteger.valueOf(c0), BigInteger.valueOf((c1)));
  }

  /**
   * Create fq2.
   *
   * @param c0 the c0
   * @param c1 the c1
   * @return the fq2
   */
  public static final Fq2 create(final BigInteger c0, final BigInteger c1) {
    return new Fq2(Fq.create(c0), Fq.create(c1));
  }

  private Fq2(final Fq... coefficients) {
    super(DEGREE, MODULUS_COEFFICIENTS, coefficients);
  }

  /**
   * b2 Fq2.
   *
   * @return the Fq2
   */
  public static Fq2 b2() {
    final Fq2 numerator = create(3, 0);
    final Fq2 denominator = create(9, 1);
    return numerator.divide(denominator);
  }

  @Override
  protected Fq2 newInstance(final Fq[] coefficients) {
    return new Fq2(coefficients);
  }
}