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/*
 * Copyright (c) 2016 Jacob Rachiele
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy of this software
 * and associated documentation files (the "Software"), to deal in the Software without restriction
 * including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense
 * and/or sell copies of the Software, and to permit persons to whom the Software is furnished to
 * do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in all copies or
 * substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED
 * INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR
 * PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
 * LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
 * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE
 * USE OR OTHER DEALINGS IN THE SOFTWARE.
 *
 * Contributors:
 *
 * Jacob Rachiele
 */
package math;

/**
 * Represents an element of a mathematical field.
 * @author Jacob Rachiele
 *
 * @param  The dataType of field element.
 */
public interface FieldElement {

  /**
   * Add this element to the given element.
   *
   * @param other the element to add to this element.
   * @return this element added to the given element.
   */
  T plus(T other);
  
  /**
   * Subtract the given element from this element.
   *
   * @param other the element to subtract from this element.
   * @return this element subtracted by the given element.
   */
  T minus(T other);
  
  /**
   * Multiply this element by the given element.
   *
   * @param other the element to multiply this element by.
   * @return this element multiplied by the given element.
   */
  T times(T other);
  
  /**
   * The square root operation applied to this element.
   *
   * @return the square root of this element.
   */
  T sqrt();
  
  /**
   * Compute and return the conjugate of this element.
   *
   * @return the conjugate of this element.
   */
  T conjugate();
  
  /**
   * Compute and return the absolute value of this element.
   *
   * @return the absolute value of this element.
   */
  double abs();
  
}




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