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/** @file
* @brief Unit tests for the binomial coefficient function.
* Uses the Google Testing Framework
*//*
* Authors:
* Krzysztof Kosiński <tweenk.pl@gmail.com>
*
* Copyright 2015 Authors
*
* This library is free software; you can redistribute it and/or
* modify it either under the terms of the GNU Lesser General Public
* License version 2.1 as published by the Free Software Foundation
* (the "LGPL") or, at your option, under the terms of the Mozilla
* Public License Version 1.1 (the "MPL"). If you do not alter this
* notice, a recipient may use your version of this file under either
* the MPL or the LGPL.
*
* You should have received a copy of the LGPL along with this library
* in the file COPYING-LGPL-2.1; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
* You should have received a copy of the MPL along with this library
* in the file COPYING-MPL-1.1
*
* The contents of this file are subject to the Mozilla Public License
* Version 1.1 (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.mozilla.org/MPL/
*
* This software is distributed on an "AS IS" basis, WITHOUT WARRANTY
* OF ANY KIND, either express or implied. See the LGPL or the MPL for
* the specific language governing rights and limitations.
*/
#include "testing.h"
#include <2geom/choose.h>
#include <glib.h>
using namespace Geom;
TEST(ChooseTest, PascalsTriangle) {
// check whether the values match Pascal's triangle
for (unsigned i = 0; i < 500; ++i) {
int n = g_random_int_range(3, 100);
int k = g_random_int_range(1, n-1);
double a = choose<double>(n, k);
double b = choose<double>(n-1, k);
double c = choose<double>(n-1, k-1);
EXPECT_NEAR((b + c) / a, 1.0, 1e-14);
}
}
TEST(ChooseTest, Values) {
// test some well-known values
EXPECT_EQ(choose<double>(0, 0), 1);
EXPECT_EQ(choose<double>(1, 0), 1);
EXPECT_EQ(choose<double>(1, 1), 1);
EXPECT_EQ(choose<double>(127, 127), 1);
EXPECT_EQ(choose<double>(92, 0), 1);
EXPECT_EQ(choose<double>(2, 1), 2);
// number of possible flops in Texas Hold 'Em Poker
EXPECT_EQ(choose<double>(50, 3), 19600.);
EXPECT_EQ(choose<double>(50, 47), 19600.);
// number of possible hands in bridge
EXPECT_EQ(choose<double>(52, 13), 635013559600.);
EXPECT_EQ(choose<double>(52, 39), 635013559600.);
// number of possible Lotto results
EXPECT_EQ(choose<double>(49, 6), 13983816.);
EXPECT_EQ(choose<double>(49, 43), 13983816.);
}
TEST(ChooseTest, Unsigned) {
auto const BIG = std::numeric_limits<unsigned>::max() - 1;
EXPECT_EQ(choose<unsigned>(BIG, BIG - 1), BIG);
EXPECT_EQ(choose<unsigned>(BIG, BIG), 1);
EXPECT_EQ(choose<unsigned>(BIG, BIG + 1), 0);
}
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