Further details on classes like epsilon compare, further unit tests.

src/blackmisc/basestreamstringifier.h

@@ -75,8 +75,9 @@ public:
 
     /*!
      * \brief Cast as QString
+     * \remarks operator cast caused too many ambiguity trouble
      */
-    operator QString() const
+    QString toQString() const
     {
         return this->stringForConverter();
     }

src/blackmisc/coordinatetransformation.cpp

@@ -66,7 +66,7 @@ CCoordinateEcef CCoordinateTransformation::toEcef(const CCoordinateNed &ned)
  */
 CCoordinateEcef CCoordinateTransformation::toEcef(const CCoordinateGeodetic &geo)
 {
-    // TODO: Clarify the comparions with fixed angles (==90, ==180) -> what happens here
+    // TODO: Clarify the comparisons with fixed angles (==90, ==180) -> what happens here
 
     CLatitude lat = geo.latitude();
     CLongitude lon = geo.longitude();

src/blackmisc/mathematics.cpp

@@ -34,5 +34,33 @@ qreal CMath::cubicRootReal(qreal x)
     return x < 0 ? -result : result;
 }
 
+/*
+ * Round utility method
+ */
+double CMath::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 = qRound(value * m); // do not loose any range here
+    double rv = double(ri) / m;
+    return rv;
+}
+
+/*
+ * Round by given epsilon value
+ */
+double CMath::roundEpsilon(double value, double epsilon)
+{
+    double fractpart, intpart;
+    fractpart = modf(value, &intpart);
+    if (fractpart == 0) return value; // do not mess any "integers" to the worse
+    qint64 ri = qRound(value / epsilon);
+    double rv = double(ri) * epsilon; // do not loose any range here
+    return rv;
+}
+
 } // namespace
 } // namespace

src/blackmisc/mathematics.h

@@ -15,10 +15,10 @@ namespace Math
 // Some namespace wide constant values
 
 //! Mathematical constant Pi
-const qreal PI = 4.0 * qAtan(1.0);
+const double PI = 4.0 * qAtan(1.0);
 
 //! 2 * Pi
-const qreal TwoPI  = 2.0 * PI;
+const double TwoPI  = 2.0 * PI;
 
 /*!
  * \brief Math utils
@@ -33,14 +33,14 @@ public:
      * \param y
      * \return
      */
-    static qreal hypot(qreal x, qreal y);
+    static double hypot(double x, double y);
 
     /*!
      * \brief Calculates the square of x
      * \param x
      * \return
      */
-    static inline qreal square(qreal x)
+    static inline double square(double x)
     {
         return x * x;
     }
@@ -50,7 +50,7 @@ public:
      * \param x
      * \return
      */
-    static inline qreal cubic(const qreal x)
+    static inline double cubic(const double x)
     {
         return x * x * x;
     }
@@ -60,7 +60,23 @@ public:
      * \param x
      * \return
      */
-    static qreal cubicRootReal(qreal x);
+    static double cubicRootReal(double x);
+
+    /*!
+     * \brief Utility round method
+     * \param value
+     * \param digits
+     * \return
+     */
+    static double round(double value, int digits);
+
+    /*!
+     * \brief Round by given epsilon, e.g.
+     * \param value
+     * \param epsilon
+     * \return
+     */
+    static double roundEpsilon(double value, double epsilon);
 
 private:
     /*!

src/blackmisc/mathmatrixbase.cpp

@@ -69,11 +69,11 @@ template<class ImplMatrix, int Rows, int Columns> bool CMatrixBase<ImplMatrix, R
 }
 
 /*
- * All values zero?
+ * All values equal?
  */
 template<class ImplMatrix, int Rows, int Columns> bool CMatrixBase<ImplMatrix, Rows, Columns>::allValuesEqual() const
 {
-    double v = this->getElement(0,0);
+    double v = this->getElement(0, 0);
     for (int r = 0; r < Rows; r++)
     {
         for (int c = 0; c < Columns; c++)
@@ -84,6 +84,19 @@ template<class ImplMatrix, int Rows, int Columns> bool CMatrixBase<ImplMatrix, R
     return true;
 }
 
+/*
+ * Round all values
+ */
+template<class ImplMatrix, int Rows, int Columns> void CMatrixBase<ImplMatrix, Rows, Columns>::round()
+{
+    for (int r = 0; r < Rows; r++)
+    {
+        for (int c = 0; c < Columns; c++)
+        {
+            this->m_matrix(r, c) = CMath::roundEpsilon(this->m_matrix(r, c), 1E-10);
+        }
+    }
+}
 
 /*
  * Convert to string

src/blackmisc/mathmatrixbase.h

@@ -203,6 +203,18 @@ public:
         return this->m_matrix.isIdentity();
     }
 
+    /*!
+     * \brief Is identity matrix? Epsilon considered.
+     * \return
+     */
+    bool isIdentityEpsilon() const
+    {
+        ImplMatrix m(0.0);
+        m += (*this);
+        m.round();
+        return m.isIdentity();
+    }
+
     /*!
      * \brief Set as identity matrix
      * \return
@@ -228,6 +240,18 @@ public:
      */
     bool isZero() const;
 
+    /*!
+     * \brief Is identity matrix? Epsilon considered.
+     * \return
+     */
+    bool isZeroEpsilon() const
+    {
+        ImplMatrix m(0.0);
+        m += (*this);
+        m.round();
+        return m.isZero();
+    }
+
     /*!
      * \brief All values equal, if so matirx is not invertible
      * \return
@@ -240,6 +264,11 @@ public:
      */
     void fill(double value) { this->m_matrix.fill(value); }
 
+    /*!
+     * \brief Round all values
+     */
+    void round();
+
     /*!
      * \brief Get element
      * \param row

src/blackmisc/mathvector3dbase.cpp

@@ -92,13 +92,13 @@ template <class ImplClass> void CVector3DBase<ImplClass>::setElement(size_t row,
 }
 
 /*
- * Corss product
+ * Cross product
  */
 template <class ImplClass> ImplClass CVector3DBase<ImplClass>::crossProduct(const ImplClass &otherVector) const
 {
     ImplClass v(otherVector);
     v.m_i = this->m_j * otherVector.m_k - this->m_k * otherVector.m_j;
-    v.m_j = this->m_k * otherVector.m_i - this->m_j * otherVector.m_k;
+    v.m_j = this->m_k * otherVector.m_i - this->m_i * otherVector.m_k;
     v.m_k = this->m_i * otherVector.m_j - this->m_j * otherVector.m_i;
     return v;
 }

src/blackmisc/mathvector3dbase.h

@@ -7,6 +7,7 @@
 #define BLACKMISC_MATHVECTOR3DBASE_H
 
 #include "blackmisc/basestreamstringifier.h"
+#include "blackmisc/mathematics.h"
 
 namespace BlackMisc
 {
@@ -75,6 +76,26 @@ public:
      */
     void setZero();
 
+    /*!
+     * \brief Set zeros
+     */
+    bool isZero() const
+    {
+        return this->m_i == 0 && this->m_j == 0 && this->m_k == 0;
+    }
+
+    /*!
+     * \brief Is identity matrix? Epsilon considered.
+     * \return
+     */
+    bool isZeroEpsilon() const
+    {
+        ImplClass v;
+        v += (*this);
+        v.round();
+        return v.isZero();
+    }
+
     /*!
      * \brief Set zeros
      */
@@ -370,6 +391,18 @@ public:
     {
         return sqrt(this->lengthSquared());
     }
+
+    /*!
+     * \brief Round this vector
+     */
+    void round()
+    {
+        const double epsilon = 1E-10;
+        this->m_i = BlackMisc::Math::CMath::roundEpsilon(this->m_i, epsilon);
+        this->m_j = BlackMisc::Math::CMath::roundEpsilon(this->m_j, epsilon);
+        this->m_k = BlackMisc::Math::CMath::roundEpsilon(this->m_k, epsilon);
+    }
+
 };
 
 } // namespace

src/blackmisc/pqangle.h

@@ -6,6 +6,7 @@
 #ifndef BLACKMISC_PQANGLE_H
 #define BLACKMISC_PQANGLE_H
 #include "blackmisc/pqphysicalquantity.h"
+#include "blackmisc/mathematics.h"
 
 namespace BlackMisc
 {
@@ -46,15 +47,17 @@ public:
      * \brief Convenience method PI
      * \return
      */
-    const static double pi() {
+    const static double pi()
+    {
         return M_PI;
     }
     /*!
      * \brief Value as factor of PI (e.g. 0.5PI)
      * \return
      */
-    double piFactor() const {
-        return CMeasurementUnit::round(this->convertedSiValueToDouble() / M_PI, 6);
+    double piFactor() const
+    {
+        return BlackMisc::Math::CMath::round(this->convertedSiValueToDouble() / M_PI, 6);
     }
 };
 

src/blackmisc/pqbase.cpp

@@ -1,9 +1,12 @@
-/*  Copyright (C) 2013 VATSIM Community
+/*  Copyright (C) 2013 VATSIM Community / contributors
  *  This Source Code Form is subject to the terms of the Mozilla Public
  *  License, v. 2.0. If a copy of the MPL was not distributed with this
  *  file, You can obtain one at http://mozilla.org/MPL/2.0/. */
 
 #include "blackmisc/pqbase.h"
+#include "blackmisc/mathematics.h"
+
+using namespace BlackMisc::Math;
 
 namespace BlackMisc
 {
@@ -35,7 +38,7 @@ CMeasurementPrefix::CMeasurementPrefix(const CMeasurementPrefix &otherMultiplier
 /*
  * Assignment operator
  */
-CMeasurementPrefix& CMeasurementPrefix::operator=(const CMeasurementPrefix &otherMultiplier)
+CMeasurementPrefix &CMeasurementPrefix::operator=(const CMeasurementPrefix &otherMultiplier)
 {
 
     if (this == &otherMultiplier) return *this; // Same object? Yes, so skip assignment, and just return *this
@@ -170,7 +173,7 @@ QString CMeasurementUnit::valueRoundedWithUnit(double value, int digits) const
 double CMeasurementUnit::valueRounded(double value, int digits) const
 {
     if (digits < 0) digits = this->m_displayDigits;
-    return CMeasurementUnit::round(value, digits);
+    return CMath::round(value, digits);
 }
 
 /*
@@ -179,30 +182,19 @@ double CMeasurementUnit::valueRounded(double value, int digits) const
 QString CMeasurementUnit::toQStringRounded(double value, int digits) const
 {
     if (digits < 0) digits = this->m_displayDigits;
-    double v = CMeasurementUnit::round(value, digits);
+    double v = CMath::round(value, digits);
     QString s = QLocale::system().toString(v, 'f', digits);
     return s;
 }
 
-/*
- * Round utility method
- */
-double CMeasurementUnit::round(double value, int digits)
-{
-    // gosh, is there no Qt method for this???
-    // It's year 2013
-    double m = pow(10.0, digits);
-    double rv = double(qRound(value * m) / m);
-    return rv;
-}
-
 /*
  * Epsilon rounding
  */
-double CMeasurementUnit::epsilonRounding(double value) const
+double CMeasurementUnit::epsilonUpRounding(double value) const
 {
-    // does notwork reliable with qRound for some reason
-    double v = floor((value + this->m_epsilon) / this->m_epsilon);
+    // Rounds a little up in order to avoid fractions
+    double eps = value > 0 ? this->m_epsilon : -1.0 * this->m_epsilon;
+    double v = floor((value + eps) / this->m_epsilon);
     v *= this->m_epsilon;
     return v;
 }

src/blackmisc/pqbase.h

@@ -93,10 +93,6 @@ public:
     /*!
      * \brief Cast as double
      */
-    operator double() const
-    {
-        return this->m_factor;
-    }
 
     /*!
      * \brief Factor, e.g.1000 for "kilo"
@@ -106,6 +102,16 @@ public:
     {
         return this->m_factor;
     }
+
+    /*!
+     * \brief Factor
+     * \return
+     */
+    double toDouble() const
+    {
+        return this->getFactor();
+    }
+
     /*!
      * \brief Name, e.g. "kilo"
      * \return
@@ -114,6 +120,7 @@ public:
     {
         return this->m_name;
     }
+
     /*!
      * \brief Prefix, e.g. "k" for "kilo"
      * \return
@@ -464,25 +471,17 @@ public:
      */
     double conversionToUnit(double value, const CMeasurementUnit &to) const;
 
-    // --------------------------------------------------------------------
-    // -- static
-    // --------------------------------------------------------------------
-
-    /*!
-     * \brief Utility round method
-     * \param value
-     * \param digits
-     * \return
-     */
-    static double round(double value, int digits);
-
     /*!
      * Epsilon rounding. In some conversion rouding is required to avoid
      * periodical numbers.
      * \param value
      * \return
      */
-    double epsilonRounding(double value) const;
+    double epsilonUpRounding(double value) const;
+
+    // --------------------------------------------------------------------
+    // -- static
+    // --------------------------------------------------------------------
 
     /*!
      * \brief Unit is not specified

src/blackmisc/pqphysicalquantity.h

@@ -6,6 +6,7 @@
 #ifndef BLACKMISC_PQPHYSICALQUANTITY_H
 #define BLACKMISC_PQPHYSICALQUANTITY_H
 
+#include "blackmisc/mathematics.h"
 #include "blackmisc/pqbase.h"
 #include "blackmisc/pqunits.h"
 #include "blackmisc/debug.h"
@@ -217,7 +218,8 @@ public:
      */
     qint32 convertedSiValueToInteger() const
     {
-        return static_cast<qint32>(CMeasurementUnit::round(this->m_convertedSiUnitValueD, 0));
+        return static_cast<qint32>(
+                    BlackMisc::Math::CMath::round(this->m_convertedSiUnitValueD, 0));
     }
 
     /*!
@@ -255,15 +257,7 @@ public:
      */
     void substractUnitValue(double value);
 
-    /*!
-     * \brief Cast as QString
-     */
-    operator QString() const
-    {
-        return this->unitValueRoundedWithUnit();
-    }
-
-    /*!
+     /*!
      * \brief Multiply operator *=
      * \param multiply
      * \return

src/blackmisc/pqunits.cpp

@@ -37,7 +37,7 @@ double CAngleUnit::conversionSexagesimalFromSi(const CMeasurementUnit &angleUnit
 {
     // using rounding here, since fractions can lead to ugly sexagesimal conversion
     // e.g. 185.499999 gives 185 29' 59.9999"
-    value = angleUnit.epsilonRounding(value * 180 / M_PI); // degree
+    value = angleUnit.epsilonUpRounding(value * 180 / M_PI); // degree
     double v = floor(value);
     double c = value - v;
     double mr = c * 60.0;

src/blackmisc/pqunits.h

@@ -1,4 +1,4 @@
-/*  Copyright (C) 2013 VATSIM Community / authors
+/*  Copyright (C) 2013 VATSIM Community / contributors
  *  This Source Code Form is subject to the terms of the Mozilla Public
  *  License, v. 2.0. If a copy of the MPL was not distributed with this
  *  file, You can obtain one at http://mozilla.org/MPL/2.0/. */
@@ -649,4 +649,4 @@ public:
 
 } // namespace
 } // namespace
-#endif // BLACKMISC_PQUNITS_H
+#endif // guard