/* Copyright (C) 2013 * swift project Community / Contributors * * This file is part of swift project. It is subject to the license terms in the LICENSE file found in the top-level * directory of this distribution and at http://www.swift-project.org/license.html. No part of swift project, * including this file, may be copied, modified, propagated, or distributed except according to the terms * contained in the LICENSE file. */ #include "blackmisc/math/mathutils.h" #include #include #include #include #include #include #include namespace BlackMisc { namespace Math { double CMathUtils::hypot(double x, double y) { x = qAbs(x); y = qAbs(y); double max = std::max(x, y); double min = std::min(x, y); double r = min / max; return max * sqrt(1 + r * r); } double CMathUtils::cubicRootReal(double x) { double result; result = std::pow(qAbs(x), 1.0 / 3.0); return x < 0 ? -result : result; } double CMathUtils::round(double value, int digits) { // gosh, is there no Qt method for this??? It's year 2013 double fractpart, intpart; fractpart = modf(value, &intpart); if (fractpart == 0) return value; // do not mess any "integers" to the worse double m = pow(10.0, digits); qint64 ri = qRound64(value * m); // do not loose any range here double rv = static_cast(ri) / m; return rv; } double CMathUtils::roundEpsilon(double value, double epsilon) { if (epsilon == 0) { return value; } // avoid division by 0 double fractpart, intpart; fractpart = modf(value, &intpart); if (fractpart == 0) { return value; } // do not mess any "integers" to the worse const double roundValue = value / epsilon; qint64 ri = qRound64(roundValue); double rv = static_cast(ri) * epsilon; // do not loose any range here return rv; } bool CMathUtils::epsilonEqual(double v1, double v2, double epsilon) { if (v1 == v2) return true; return qAbs(v1 - v2) <= epsilon; } double CMathUtils::deg2rad(double degree) { return degree * CMathUtils::PI() / 180.0; } double CMathUtils::rad2deg(double radians) { return radians * 180.0 / CMathUtils::PI(); } double CMathUtils::normalizeDegrees180(double degrees) { const double result = CMathUtils::normalizeDegrees360(degrees + 180.0) - 180.0; return (result <= -180.0) ? 180.0 : result; // -180->180 } double CMathUtils::normalizeDegrees360(double degrees) { const double result = std::fmod(degrees, 360.0); return (result >= 0.0) ? result : result + 360.0; } int CMathUtils::randomInteger(int low, int high) { static QThreadStorage seeds; if (!seeds.hasLocalData()) { // seed is per thread! uint seed = static_cast(QTime::currentTime().msec()); qsrand(seed); seeds.setLocalData(seed); } int r(qrand()); return r % ((high + 1) - low) + low; } int CMathUtils::roundToMultipleOf(int value, int divisor) { Q_ASSERT(divisor != 0); Q_ASSERT(divisor >= - std::numeric_limits::max()); divisor = std::abs(divisor); Q_ASSERT(std::abs(value) < std::numeric_limits::max() - divisor / 2); int multiplier = value / divisor; int remainder = std::abs(value % divisor); int shortfall = divisor - remainder; if (shortfall < remainder) { multiplier += value < 0 ? -1 : 1; } return multiplier * divisor; } QString CMathUtils::fractionalPartAsString(double value, int width) { double intpart; const double fractpart = modf(value, &intpart); const QString f = QString::number(fractpart); const QString fInt = f.length() < 3 ? QString("0") : f.mid(2); if (width < 0) { return fInt; } if (fInt.length() >= width) { return fInt.left(width); } return fInt.leftJustified(width, '0'); } } // namespace } // namespace