/**************************************************************************** ** ** Copyright (C) 2016 The Qt Company Ltd. ** Copyright (C) 2013 Laszlo Papp ** Contact: https://www.qt.io/licensing/ ** ** This file is part of the test suite of the Qt Toolkit. ** ** $QT_BEGIN_LICENSE:GPL-EXCEPT$ ** Commercial License Usage ** Licensees holding valid commercial Qt licenses may use this file in ** accordance with the commercial license agreement provided with the ** Software or, alternatively, in accordance with the terms contained in ** a written agreement between you and The Qt Company. For licensing terms ** and conditions see https://www.qt.io/terms-conditions. For further ** information use the contact form at https://www.qt.io/contact-us. ** ** GNU General Public License Usage ** Alternatively, this file may be used under the terms of the GNU ** General Public License version 3 as published by the Free Software ** Foundation with exceptions as appearing in the file LICENSE.GPL3-EXCEPT ** included in the packaging of this file. Please review the following ** information to ensure the GNU General Public License requirements will ** be met: https://www.gnu.org/licenses/gpl-3.0.html. ** ** $QT_END_LICENSE$ ** ****************************************************************************/ #include #include static const double PI = 3.14159265358979323846264338327950288; class tst_QMath : public QObject { Q_OBJECT private slots: void fastSinCos(); void degreesToRadians_data(); void degreesToRadians(); void radiansToDegrees_data(); void radiansToDegrees(); void qNextPowerOfTwo32S_data(); void qNextPowerOfTwo32S(); void qNextPowerOfTwo64S_data(); void qNextPowerOfTwo64S(); void qNextPowerOfTwo32U_data(); void qNextPowerOfTwo32U(); void qNextPowerOfTwo64U_data(); void qNextPowerOfTwo64U(); }; void tst_QMath::fastSinCos() { // Test evenly spaced angles from 0 to 2pi radians. const int LOOP_COUNT = 100000; for (int i = 0; i < LOOP_COUNT; ++i) { qreal angle = i * 2 * PI / (LOOP_COUNT - 1); QVERIFY(qAbs(qSin(angle) - qFastSin(angle)) < 1e-5); QVERIFY(qAbs(qCos(angle) - qFastCos(angle)) < 1e-5); } } void tst_QMath::degreesToRadians_data() { QTest::addColumn("degreesFloat"); QTest::addColumn("radiansFloat"); QTest::addColumn("degreesDouble"); QTest::addColumn("radiansDouble"); QTest::newRow( "pi" ) << 180.0f << float(M_PI) << 180.0 << PI; QTest::newRow( "doublepi" ) << 360.0f << float(2*M_PI) << 360.0 << 2*PI; QTest::newRow( "halfpi" ) << 90.0f << float(M_PI_2) << 90.0 << PI/2; QTest::newRow( "random" ) << 123.1234567f << 2.1489097058516724f << 123.123456789123456789 << 2.148909707407169856192285627; QTest::newRow( "bigrandom" ) << 987654321.9876543f << 17237819.79023679f << 987654321987654321.987654321987654321 << 17237819790236794.0; QTest::newRow( "zero" ) << 0.0f << 0.0f << 0.0 << 0.0; QTest::newRow( "minuspi" ) << -180.0f << float(-M_PI) << 180.0 << PI; QTest::newRow( "minusdoublepi" ) << -360.0f << float(-2*M_PI) << -360.0 << -2*PI; QTest::newRow( "minushalfpi" ) << -90.0f << float(-M_PI_2) << -90.0 << -PI/2; QTest::newRow( "minusrandom" ) << -123.1234567f << -2.1489097058516724f << -123.123456789123456789 << -2.148909707407169856192285627; QTest::newRow( "minusbigrandom" ) << -987654321.9876543f << -17237819.79023679f << -987654321987654321.987654321987654321 << -17237819790236794.0; } void tst_QMath::degreesToRadians() { QFETCH(float, degreesFloat); QFETCH(float, radiansFloat); QFETCH(double, degreesDouble); QFETCH(double, radiansDouble); QCOMPARE(qDegreesToRadians(degreesFloat), radiansFloat); QCOMPARE(qDegreesToRadians(degreesDouble), radiansDouble); } void tst_QMath::radiansToDegrees_data() { QTest::addColumn("radiansFloat"); QTest::addColumn("degreesFloat"); QTest::addColumn("radiansDouble"); QTest::addColumn("degreesDouble"); QTest::newRow( "pi" ) << float(M_PI) << 180.0f << PI << 180.0; QTest::newRow( "doublepi" ) << float(2*M_PI) << 360.0f << 2*PI << 360.0; QTest::newRow( "halfpi" ) << float(M_PI_2) << 90.0f<< PI/2 << 90.0; QTest::newRow( "random" ) << 123.1234567f << 7054.454427971739f << 123.123456789123456789 << 7054.4544330781363896676339209079742431640625; QTest::newRow( "bigrandom" ) << 987654321.9876543f << 56588424267.74745f << 987654321987654321.987654321987654321 << 56588424267747450880.0; QTest::newRow( "zero" ) << 0.0f << 0.0f << 0.0 << 0.0; QTest::newRow( "minuspi" ) << float(-M_PI) << -180.0f << -PI << -180.0; QTest::newRow( "minusdoublepi" ) << float(-2*M_PI) << -360.0f << -2*PI << -360.0; QTest::newRow( "minushalfpi" ) << float(-M_PI_2) << -90.0f << -PI/2 << -90.0; QTest::newRow( "minusrandom" ) << -123.1234567f << -7054.454427971739f << -123.123456789123456789 << -7054.4544330781363896676339209079742431640625; QTest::newRow( "minusbigrandom" ) << -987654321.9876543f << -56588424267.74745f << -987654321987654321.987654321987654321 << -56588424267747450880.0; } void tst_QMath::radiansToDegrees() { QFETCH(float, radiansFloat); QFETCH(float, degreesFloat); QFETCH(double, radiansDouble); QFETCH(double, degreesDouble); QCOMPARE(qRadiansToDegrees(radiansFloat), degreesFloat); QCOMPARE(qRadiansToDegrees(radiansDouble), degreesDouble); } void tst_QMath::qNextPowerOfTwo32S_data() { QTest::addColumn("input"); QTest::addColumn("output"); QTest::newRow("0") << 0 << 1U; QTest::newRow("1") << 1 << 2U; QTest::newRow("2") << 2 << 4U; QTest::newRow("17") << 17 << 32U; QTest::newRow("128") << 128 << 256U; QTest::newRow("65535") << 65535 << 65536U; QTest::newRow("65536") << 65536 << 131072U; QTest::newRow("2^30") << (1 << 30) << (1U << 31); QTest::newRow("2^30 + 1") << (1 << 30) + 1 << (1U << 31); QTest::newRow("2^31 - 1") << 0x7FFFFFFF << (1U<<31); QTest::newRow("-1") << -1 << 0U; QTest::newRow("-128") << -128 << 0U; QTest::newRow("-(2^31)") << int(0x80000000) << 0U; } void tst_QMath::qNextPowerOfTwo32S() { QFETCH(qint32, input); QFETCH(quint32, output); QCOMPARE(qNextPowerOfTwo(input), output); } void tst_QMath::qNextPowerOfTwo32U_data() { QTest::addColumn("input"); QTest::addColumn("output"); QTest::newRow("0") << 0U << 1U; QTest::newRow("1") << 1U << 2U; QTest::newRow("2") << 2U << 4U; QTest::newRow("17") << 17U << 32U; QTest::newRow("128") << 128U << 256U; QTest::newRow("65535") << 65535U << 65536U; QTest::newRow("65536") << 65536U << 131072U; QTest::newRow("2^30") << (1U << 30) << (1U << 31); QTest::newRow("2^30 + 1") << (1U << 30) + 1 << (1U << 31); QTest::newRow("2^31 - 1") << 2147483647U << 2147483648U; QTest::newRow("2^31") << 2147483648U << 0U; QTest::newRow("2^31 + 1") << 2147483649U << 0U; } void tst_QMath::qNextPowerOfTwo32U() { QFETCH(quint32, input); QFETCH(quint32, output); QCOMPARE(qNextPowerOfTwo(input), output); } void tst_QMath::qNextPowerOfTwo64S_data() { QTest::addColumn("input"); QTest::addColumn("output"); QTest::newRow("0") << Q_INT64_C(0) << Q_UINT64_C(1); QTest::newRow("1") << Q_INT64_C(1) << Q_UINT64_C(2); QTest::newRow("2") << Q_INT64_C(2) << Q_UINT64_C(4); QTest::newRow("17") << Q_INT64_C(17) << Q_UINT64_C(32); QTest::newRow("128") << Q_INT64_C(128) << Q_UINT64_C(256); QTest::newRow("65535") << Q_INT64_C(65535) << Q_UINT64_C(65536); QTest::newRow("65536") << Q_INT64_C(65536) << Q_UINT64_C(131072); QTest::newRow("2^31 - 1") << Q_INT64_C(2147483647) << Q_UINT64_C(0x80000000); QTest::newRow("2^31") << Q_INT64_C(2147483648) << Q_UINT64_C(0x100000000); QTest::newRow("2^31 + 1") << Q_INT64_C(2147483649) << Q_UINT64_C(0x100000000); QTest::newRow("2^63 - 1") << Q_INT64_C(0x7FFFFFFFFFFFFFFF) << Q_UINT64_C(0x8000000000000000); QTest::newRow("-1") << Q_INT64_C(-1) << Q_UINT64_C(0); QTest::newRow("-128") << Q_INT64_C(-128) << Q_UINT64_C(0); QTest::newRow("-(2^31)") << -Q_INT64_C(0x80000000) << Q_UINT64_C(0); QTest::newRow("-(2^63)") << (qint64)Q_INT64_C(0x8000000000000000) << Q_UINT64_C(0); } void tst_QMath::qNextPowerOfTwo64S() { QFETCH(qint64, input); QFETCH(quint64, output); QCOMPARE(qNextPowerOfTwo(input), output); } void tst_QMath::qNextPowerOfTwo64U_data() { QTest::addColumn("input"); QTest::addColumn("output"); QTest::newRow("0") << Q_UINT64_C(0) << Q_UINT64_C(1); QTest::newRow("1") << Q_UINT64_C(1) << Q_UINT64_C(2); QTest::newRow("2") << Q_UINT64_C(2) << Q_UINT64_C(4); QTest::newRow("17") << Q_UINT64_C(17) << Q_UINT64_C(32); QTest::newRow("128") << Q_UINT64_C(128) << Q_UINT64_C(256); QTest::newRow("65535") << Q_UINT64_C(65535) << Q_UINT64_C(65536); QTest::newRow("65536") << Q_UINT64_C(65536) << Q_UINT64_C(131072); QTest::newRow("2^63 - 1") << Q_UINT64_C(0x7FFFFFFFFFFFFFFF) << Q_UINT64_C(0x8000000000000000); QTest::newRow("2^63") << Q_UINT64_C(0x8000000000000000) << Q_UINT64_C(0); QTest::newRow("2^63 + 1") << Q_UINT64_C(0x8000000000000001) << Q_UINT64_C(0); } void tst_QMath::qNextPowerOfTwo64U() { QFETCH(quint64, input); QFETCH(quint64, output); QCOMPARE(qNextPowerOfTwo(input), output); } QTEST_APPLESS_MAIN(tst_QMath) #include "tst_qmath.moc"