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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Test Suite *
* *
* Copyright (c) 1999-2025, Ben Burton *
* For further details contact Ben Burton (bab@debian.org). *
* *
* This program is free software; you can redistribute it and/or *
* modify it under the terms of the GNU General Public License as *
* published by the Free Software Foundation; either version 2 of the *
* License, or (at your option) any later version. *
* *
* As an exception, when this program is distributed through (i) the *
* App Store by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or *
* (iii) Google Play by Google Inc., then that store may impose any *
* digital rights management, device limits and/or redistribution *
* restrictions that are required by its terms of service. *
* *
* 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. See the GNU *
* General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <https://www.gnu.org/licenses/>. *
* *
**************************************************************************/
#include "maths/rational.h"
#include "testhelper.h"
using regina::Rational;
// Most of these tests are relatively simple so far.
static void verifyInfinite(const Rational& r) {
SCOPED_TRACE_REGINA(r);
EXPECT_EQ(r.numerator(), 1);
EXPECT_EQ(r.denominator(), 0);
EXPECT_EQ(r.str(), "Inf");
// Test "typical" assignment.
Rational alt = Rational(3, 5);
EXPECT_EQ(alt.numerator(), 3);
EXPECT_EQ(alt.denominator(), 5);
EXPECT_EQ(alt.str(), "3/5");
alt = r;
EXPECT_EQ(alt.numerator(), 1);
EXPECT_EQ(alt.denominator(), 0);
EXPECT_EQ(alt.str(), "Inf");
// Test self-assignment.
alt = alt;
EXPECT_EQ(alt.numerator(), 1);
EXPECT_EQ(alt.denominator(), 0);
EXPECT_EQ(alt.str(), "Inf");
}
TEST(RationalTest, infinity) {
verifyInfinite({ 1, 0 });
verifyInfinite({ -1, 0 });
verifyInfinite({ 3, 0 });
verifyInfinite({ -2, 0 });
verifyInfinite({ LONG_MAX, 0 });
verifyInfinite({ LONG_MIN, 0 });
verifyInfinite({ regina::Integer(LONG_MAX) + 1, regina::Integer::zero });
verifyInfinite({ regina::LargeInteger(LONG_MAX) + 1,
regina::LargeInteger::zero });
verifyInfinite({ regina::Integer(LONG_MIN) - 1, regina::Integer::zero });
verifyInfinite({ regina::LargeInteger(LONG_MIN) - 1,
regina::LargeInteger::zero });
verifyInfinite({ regina::LargeInteger::infinity });
}
static void verifyUndefined(const Rational& r) {
SCOPED_TRACE_REGINA(r);
EXPECT_EQ(r.numerator(), 0);
EXPECT_EQ(r.denominator(), 0);
EXPECT_EQ(r.str(), "Undef");
// Test "typical" assignment.
Rational alt = Rational(3, 5);
EXPECT_EQ(alt.numerator(), 3);
EXPECT_EQ(alt.denominator(), 5);
EXPECT_EQ(alt.str(), "3/5");
alt = r;
EXPECT_EQ(alt.numerator(), 0);
EXPECT_EQ(alt.denominator(), 0);
EXPECT_EQ(alt.str(), "Undef");
// Test self-assignment.
alt = alt;
EXPECT_EQ(alt.numerator(), 0);
EXPECT_EQ(alt.denominator(), 0);
EXPECT_EQ(alt.str(), "Undef");
}
TEST(RationalTest, undefined) {
verifyUndefined({ 0, 0 });
verifyUndefined({ regina::Integer::zero, regina::Integer::zero });
verifyUndefined({ regina::LargeInteger::zero, regina::LargeInteger::zero });
}
template <typename T>
static void verifyInteger(T&& val) {
Rational r(val);
SCOPED_TRACE_REGINA(r);
std::string valStr;
if constexpr (regina::IsReginaInteger<T>::value)
valStr = val.str();
else
valStr = std::to_string(val);
EXPECT_EQ(r.numerator(), val);
EXPECT_EQ(r.denominator(), 1);
EXPECT_EQ(r.str(), valStr);
// Test "typical" assignment.
r = Rational(3, 5);
EXPECT_EQ(r.numerator(), 3);
EXPECT_EQ(r.denominator(), 5);
EXPECT_EQ(r.str(), "3/5");
r = val;
EXPECT_EQ(r.numerator(), val);
EXPECT_EQ(r.denominator(), 1);
EXPECT_EQ(r.str(), valStr);
// Test self-assignment.
r = r;
EXPECT_EQ(r.numerator(), val);
EXPECT_EQ(r.denominator(), 1);
EXPECT_EQ(r.str(), valStr);
// Test inversion.
r.invert();
if (val >= 0) {
EXPECT_EQ(r.numerator(), 1);
EXPECT_EQ(r.denominator(), val);
} else {
EXPECT_EQ(r.numerator(), -1);
// Cast to Integer because native C++ integer types cannot always
// be negated (e.g., -LONG_MIN will overflow).
EXPECT_EQ(r.denominator(), -regina::Integer(val));
}
}
TEST(RationalTest, integer) {
verifyInteger(-1);
verifyInteger(0);
verifyInteger(1);
verifyInteger(LONG_MAX);
verifyInteger(LONG_MIN);
verifyInteger(regina::Integer(LONG_MAX) + 1);
verifyInteger(regina::LargeInteger(LONG_MAX) + 1);
verifyInteger(regina::Integer(LONG_MIN) - 1);
verifyInteger(regina::LargeInteger(LONG_MIN) - 1);
static constexpr const char* HUGE_NEGATIVE =
"-12364981726394781629378461923786491874569283746672";
static constexpr const char* HUGE_POSITIVE = HUGE_NEGATIVE + 1; // skip '-'
verifyInteger(regina::Integer(HUGE_POSITIVE));
verifyInteger(regina::LargeInteger(HUGE_POSITIVE));
verifyInteger(regina::Integer(HUGE_NEGATIVE));
verifyInteger(regina::LargeInteger(HUGE_NEGATIVE));
}
TEST(RationalTest, doubleApprox) {
EXPECT_THROW({ Rational::infinity.doubleApprox(); }, regina::UnsolvedCase);
EXPECT_THROW({ Rational::undefined.doubleApprox(); }, regina::UnsolvedCase);
EXPECT_DOUBLE_EQ(Rational::zero.doubleApprox(), 0.0);
EXPECT_NEAR(Rational(5, 3).doubleApprox(), 1.666, 0.001);
EXPECT_NEAR(Rational(-5, 3).doubleApprox(), -1.667, 0.001);
// Construct something out of int's usual range but well within double's.
// Here we aim for around 2^70, or about 7^25.
regina::Integer in(7);
in.raiseToPower(25);
regina::Integer three(3);
EXPECT_NEAR(Rational(in, three).doubleApprox(), 4.470e+20, 0.001e+20);
EXPECT_NEAR(Rational(-in, three).doubleApprox(), -4.470e+20, 0.001e+20);
// Construct something well out of double's usual range.
// Here we aim for around 2^10000, or about 13^2702.
regina::Integer out(13);
out.raiseToPower(2702);
regina::Integer two(2);
EXPECT_THROW({ Rational(out, two).doubleApprox(); }, regina::UnsolvedCase);
EXPECT_THROW({ Rational(-out, two).doubleApprox(); }, regina::UnsolvedCase);
// Check precision bounds close to zero also.
EXPECT_NEAR(Rational(three, in).doubleApprox(), 2.2370e-21, 0.0001e-21);
EXPECT_NEAR(Rational(-three, in).doubleApprox(), -2.2370e-21, 0.0001e-21);
EXPECT_THROW({ Rational(two, out).doubleApprox(); }, regina::UnsolvedCase);
EXPECT_THROW({ Rational(-two, out).doubleApprox(); }, regina::UnsolvedCase);
}
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