/*
 * Zorbage: an algebraic data hierarchy for use in numeric processing.
 *
 * Copyright (C) 2016-2019 Barry DeZonia
 * 
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are met:
 * 
 * 1. Redistributions of source code must retain the above copyright notice,
 *    this list of conditions and the following disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright notice,
 *    this list of conditions and the following disclaimer in the documentation
 *    and/or other materials provided with the distribution.
 * 
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
 * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
 * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS OR CONTRIBUTORS BE
 * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
 * POSSIBILITY OF SUCH DAMAGE.
 */
package nom.bdezonia.zorbage.type.algebra;

import nom.bdezonia.zorbage.function.Function1;
import nom.bdezonia.zorbage.function.Function2;
import nom.bdezonia.zorbage.procedure.Procedure1;
import nom.bdezonia.zorbage.procedure.Procedure2;

/**
 * 
 * @author Barry DeZonia
 *
 */
public interface Equality<U>
{
	Function2<Boolean,U,U> isEqual();
	Function2<Boolean,U,U> isNotEqual();
	Procedure2<U,U> assign();
	Procedure1<U> zero(); // setZero()
	Function1<Boolean,U> isZero();
}

@@ -1832,24 +1832,197 @@
 %3E assign();%0A
+%09// TODO: do these next two methods belong in their own Zero interface that algebras%0A%09// must implement? Are there real life algebras that don't have a zero/ground element?%0A
 %09Procedure1%3C

Make a TODO about possible future change