/*
 * 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.algorithm;

import java.math.BigDecimal;

import nom.bdezonia.zorbage.type.algebra.Addition;
import nom.bdezonia.zorbage.type.algebra.Algebra;
import nom.bdezonia.zorbage.type.algebra.Multiplication;
import nom.bdezonia.zorbage.type.algebra.SetComplex;
import nom.bdezonia.zorbage.type.data.floatunlim.real.HighPrecisionMember;
import nom.bdezonia.zorbage.type.storage.datasource.IndexedDataSource;

/**
 * 
 * @author Barry DeZonia
 *
 */
public class InvFFT {

	// do not instantiate
	
	private InvFFT() {}

	/**
	 * 
	 * @param a
	 * @param b
	 */
	public static <T extends Algebra<T,U> & Addition<U> & Multiplication<U> & nom.bdezonia.zorbage.type.algebra.Conjugate<U>, U extends SetComplex<HighPrecisionMember>>
		void compute(T algebra, IndexedDataSource<U> a,IndexedDataSource<U> b)
	{
		long aSize = a.size();
		long bSize = b.size();
		if (aSize != FFT.enclosingPowerOf2(aSize))
			throw new IllegalArgumentException("input size is not a power of 2");
		if (aSize != bSize)
			throw new IllegalArgumentException("output size does not match input size");
		U one_over_n = algebra.construct();
		one_over_n.setR(new HighPrecisionMember(BigDecimal.ONE.divide(BigDecimal.valueOf(aSize))));
		Conjugate.compute(algebra, a, b);
		FFT.compute(algebra, b, b); // TODO: does this work in place?
		Conjugate.compute(algebra, b, b);
		Scale.compute(algebra, one_over_n, b, b);
	}
}

@@ -1495,16 +1495,56 @@
 cimal;%0A%0A
+import nom.bdezonia.zorbage.algebras.G;%0A
 import n
@@ -2562,135 +2562,186 @@
 ;%0A%09%09
-U one_over_n = algebra.construct();%0A%09%09one_over_n.setR(new HighPrecisionMember(BigDecimal.ONE.divide(BigDecimal.valueOf(aSize)))
+HighPrecisionMember tmp = new HighPrecisionMember(BigDecimal.valueOf(aSize));%0A%09%09G.FLOAT_UNLIM.invert().call(tmp, tmp);%0A%09%09U one_over_n = algebra.construct();%0A%09%09one_over_n.setR(tmp
 );%0A%09

Make code a little more clean and avoid infinite precision probs