File: FastTest.java

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/*
 * DSI utilities
 *
 * Copyright (C) 2010-2023 Sebastiano Vigna
 *
 * This program and the accompanying materials are made available under the
 * terms of the GNU Lesser General Public License v2.1 or later,
 * which is available at
 * http://www.gnu.org/licenses/old-licenses/lgpl-2.1-standalone.html,
 * or the Apache Software License 2.0, which is available at
 * https://www.apache.org/licenses/LICENSE-2.0.
 *
 * This program is distributed in the hope that it will be useful, but
 * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 * or FITNESS FOR A PARTICULAR PURPOSE.
 *
 * SPDX-License-Identifier: LGPL-2.1-or-later OR Apache-2.0
 */

package it.unimi.dsi.bits;

import static org.junit.Assert.assertEquals;

import org.junit.Test;

import it.unimi.dsi.util.SplitMix64RandomGenerator;

public class FastTest {

	@Test
	public void testCeilLog2() {
		for(int i = 1; i < 1000; i++) assertEquals((int)Math.ceil(Math.log(i) / Math.log(2)), Fast.ceilLog2(i));
	}

	@Test
	public void testLength() {
		assertEquals(1, Fast.length(0));
		assertEquals(1, Fast.length(0L));
		for(int i = 1; i < 100; i++) assertEquals(Fast.mostSignificantBit(i) + 1, Fast.length(i));
		for(long i = 1; i < 100; i++) assertEquals(Fast.mostSignificantBit(i) + 1, Fast.length(i));
	}

	@Test
	public void testMostSignificantBitInt() {
		assertEquals(-1, Fast.mostSignificantBit(0));
		for(int i = 0; i < 32; i++) {
			assertEquals(i, Fast.mostSignificantBit(1L << i));
			assertEquals(i, Fast.mostSignificantBit(1L << i | 1));
			assertEquals(i, Fast.mostSignificantBit(1L << i));
			assertEquals(i, Fast.mostSignificantBit(1L << i | 1));
		}
	}

	@Test
	public void testMostSignificantBitLong() {
		assertEquals(-1, Fast.mostSignificantBit(0));
		for(int i = 0; i < 64; i++) {
			assertEquals(i, Fast.mostSignificantBit(1L << i));
			assertEquals(i, Fast.mostSignificantBit(1L << i | 1));
			assertEquals(i, Fast.mostSignificantBit(1L << i));
			assertEquals(i, Fast.mostSignificantBit(1L << i | 1));
		}
	}


	@Test
	public void testSelect2() {
		assertEquals(0, Fast.select(1, 0));
		for(int i = 0; i < 64; i++) assertEquals(i, Fast.select(0xFFFFFFFFFFFFFFFFL, i));
		for(int i = 1; i < 32; i++) assertEquals(2 * i + 1, Fast.select(0xAAAAAAAAAAAAAAAAL, i));
		final SplitMix64RandomGenerator r = new SplitMix64RandomGenerator(0);
		for(int i = 100000; i-- != 0;) {
			final long x = r.nextLong();
			final int count = Long.bitCount(x);
			for(int rank = count; rank-- != 0;) assertEquals(Fast.select(x, rank), Fast.select(x, rank));
		}
	}



	@Test
	public void testInt2Nat() {
		assertEquals(Integer.MAX_VALUE, Fast.int2nat(Integer.MIN_VALUE / 2));
		assertEquals(Integer.MAX_VALUE - 2, Fast.int2nat(Integer.MIN_VALUE / 2 + 1));
		assertEquals(Integer.MAX_VALUE - 1, Fast.int2nat(Integer.MAX_VALUE / 2));

		for(int i = 0; i < 16; i++) assertEquals(2*i, Fast.int2nat(i));
		for(int i = -16; i < 0; i++) assertEquals(-2*i-1, Fast.int2nat(i));

		assertEquals(Long.MAX_VALUE, Fast.int2nat(Long.MIN_VALUE / 2));
		assertEquals(Long.MAX_VALUE - 2, Fast.int2nat(Long.MIN_VALUE / 2 + 1));
		assertEquals(Long.MAX_VALUE - 1, Fast.int2nat(Long.MAX_VALUE / 2));

		for(int i = 0; i < 16; i++) assertEquals(2L*i, Fast.int2nat(i));
		for(int i = -16; i < 0; i++) assertEquals(-2L*i-1, Fast.int2nat(i));
	}

	@Test
	public void testNat2Int() {
		assertEquals(Integer.MIN_VALUE / 2, Fast.nat2int(Integer.MAX_VALUE));
		assertEquals(Integer.MIN_VALUE / 2 + 1, Fast.nat2int(Integer.MAX_VALUE - 2));
		assertEquals(Integer.MAX_VALUE / 2, Fast.nat2int(Integer.MAX_VALUE - 1));

		for(int i = 0; i < 16; i++) assertEquals(i, Fast.nat2int(2*i));
		for(int i = -16; i < 0; i++) assertEquals(i, Fast.nat2int(-2*i-1));

		assertEquals(Long.MIN_VALUE / 2 + 1, Fast.nat2int(Long.MAX_VALUE - 2));
		assertEquals(Long.MIN_VALUE / 2, Fast.nat2int(Long.MAX_VALUE));
		assertEquals(Long.MAX_VALUE / 2, Fast.nat2int(Long.MAX_VALUE - 1));

		for(int i = 0; i < 16; i++) assertEquals(i, Fast.nat2int(2L*i));
		for(int i = -16; i < 0; i++) assertEquals(i, Fast.nat2int(-2L*i-1));

	}
}