Angle and distances cleanup (preparing for angles in doubles)

- Removed spurious int casts (these are truncated anyway and will break
  doubles)

- Applied the Distance, GetLineLength, EuclideanNorm, DEG2RAD, RAD2DEG
  ArcTangente and NORMALIZE* functions where possible

- ArcTangente now returns double and handles the 0,0 case like atan2, so
  it's no longer necessary to check for it before calling

- Small functions in trigo moved as inline

3d-viewer/3d_aux.cpp

@@ -60,15 +60,15 @@ void S3D_MASTER::Set_Object_Coords( std::vector< S3D_VERTEX >& aVertices )
         aVertices[ii].y *= m_MatScale.y;
         aVertices[ii].z *= m_MatScale.z;
 
-        /* adjust rotation */
+        // adjust rotation 
         if( m_MatRotation.x )
-            RotatePoint( &aVertices[ii].y, &aVertices[ii].z, (int) (m_MatRotation.x * 10) );
+            RotatePoint( &aVertices[ii].y, &aVertices[ii].z, m_MatRotation.x * 10 );
 
         if( m_MatRotation.y )
-            RotatePoint( &aVertices[ii].z, &aVertices[ii].x, (int) (m_MatRotation.y * 10) );
+            RotatePoint( &aVertices[ii].z, &aVertices[ii].x, m_MatRotation.y * 10 );
 
         if( m_MatRotation.z )
-            RotatePoint( &aVertices[ii].x, &aVertices[ii].y, (int) (m_MatRotation.z * 10) );
+            RotatePoint( &aVertices[ii].x, &aVertices[ii].y, m_MatRotation.z * 10 );
 
         /* adjust offset position (offset is given in UNIT 3D (0.1 inch) */
 #define SCALE_3D_CONV ((IU_PER_MILS * 1000) / UNITS3D_TO_UNITSPCB)

3d-viewer/3d_draw.cpp

@@ -553,9 +553,8 @@ void EDA_3D_CANVAS::Draw3D_DrawSegment( DRAWSEGMENT* segment )
 
             case S_CIRCLE:
             {
-                int radius = KiROUND( hypot( double(segment->GetStart().x - segment->GetEnd().x),
-                                             double(segment->GetStart().y - segment->GetEnd().y) )
-                                    );
+                int radius = KiROUND( GetLineLength( segment->GetStart(), 
+                                                     segment->GetEnd() ) );
                 Draw3D_ZaxisCylinder( segment->GetStart(), radius,
                                       thickness, segment->GetWidth(),
                                       zpos, g_Parm_3D_Visu.m_BiuTo3Dunits );
@@ -587,9 +586,8 @@ void EDA_3D_CANVAS::Draw3D_DrawSegment( DRAWSEGMENT* segment )
 
             case S_CIRCLE:
             {
-                int radius = KiROUND( hypot( double(segment->GetStart().x - segment->GetEnd().x),
-                                             double(segment->GetStart().y - segment->GetEnd().y) )
-                                    );
+                int radius = KiROUND( GetLineLength( segment->GetStart(), 
+                                                     segment->GetEnd() ) );
                 Draw3D_ZaxisCylinder( segment->GetStart(), radius,
                                       thickness, segment->GetWidth(),
                                       zpos, g_Parm_3D_Visu.m_BiuTo3Dunits );
@@ -806,9 +804,7 @@ void EDGE_MODULE::Draw3D( EDA_3D_CANVAS* glcanvas )
 
             case S_CIRCLE:
             {
-               int radius = KiROUND( hypot( double(m_Start.x - m_End.x),
-                                            double(m_Start.y - m_End.y) )
-                                    );
+               int radius = KiROUND( GetLineLength( m_Start, m_End ) );
                 Draw3D_ZaxisCylinder( m_Start, radius,
                                       thickness, GetWidth(),
                                       zpos, g_Parm_3D_Visu.m_BiuTo3Dunits );
@@ -848,9 +844,7 @@ void EDGE_MODULE::Draw3D( EDA_3D_CANVAS* glcanvas )
 
         case S_CIRCLE:
         {
-            int radius = KiROUND( hypot( double(m_Start.x - m_End.x),
-                                         double(m_Start.y - m_End.y) )
-                                );
+            int radius = KiROUND( GetLineLength( m_Start, m_End ) );
             Draw3D_ZaxisCylinder( m_Start, radius,
                                   thickness, GetWidth(),
                                   zpos, g_Parm_3D_Visu.m_BiuTo3Dunits );

3d-viewer/3d_draw_basic_functions.cpp

@@ -377,10 +377,9 @@ void Draw3D_ArcSegment( const wxPoint&  aCenterPos, const wxPoint& aStartPoint,
 
     std::vector <CPolyPt> cornerBuffer;
     TransformArcToPolygon( cornerBuffer, aCenterPos, aStartPoint, aArcAngle,
-                            slice, aWidth );
+                           slice, aWidth );
 
     Draw3D_SolidHorizontalPolyPolygons( cornerBuffer, aZpos, aThickness, aBiuTo3DUnits );
-
 }
 
 

common/class_plotter.cpp

@@ -389,8 +389,7 @@ void PLOTTER::segmentAsOval( const wxPoint& start, const wxPoint& end, int width
     else
         orient = -(int) ( RAD2DEG( atan2( (double)size.y, (double)size.x ) ) * 10.0 );
 
-    size.x = (int) sqrt( ( (double) size.x * size.x )
-                       + ( (double) size.y * size.y ) ) + width;
+    size.x = KiROUND( hypot( size.x, size.y ) ) + width;
     size.y = width;
 
     FlashPadOval( center, size, orient, tracemode );

common/common_plotGERBER_functions.cpp

@@ -433,11 +433,11 @@ void GERBER_PLOTTER::FlashPadRect( const wxPoint& pos, const wxSize& aSize,
     wxASSERT( outputFile );
     wxSize size( aSize );
 
-    /* Plot as flashed. */
-    switch( orient )
+    // Plot as an aperture flash
+    switch( int( orient ) )
     {
     case 900:
-    case 2700:        /* rotation of 90 degrees or 270 swaps dimensions */
+    case 2700:        // rotation of 90 degrees or 270 swaps sizes
 	EXCHG( size.x, size.y );
 
 	// Pass through

common/convert_basic_shapes_to_polygon.cpp

@@ -29,6 +29,7 @@
 #include <fctsys.h>
 #include <trigo.h>
 #include <macros.h>
+#include <common.h>
 #include <convert_basic_shapes_to_polygon.h>
 
 /**
@@ -85,7 +86,6 @@ void TransformRoundedEndsSegmentToPolygon( std::vector <CPolyPt>& aCornerBuffer,
     wxPoint endp   = aEnd - aStart; // end point coordinate for the same segment starting at (0,0)
     wxPoint startp = aStart;
     wxPoint corner;
-    int     seg_len;
     CPolyPt polypoint;
 
     // normalize the position in order to have endp.x >= 0;
@@ -96,7 +96,7 @@ void TransformRoundedEndsSegmentToPolygon( std::vector <CPolyPt>& aCornerBuffer,
     }
 
     int delta_angle = ArcTangente( endp.y, endp.x );    // delta_angle is in 0.1 degrees
-    seg_len = (int) sqrt( ( (double) endp.y * endp.y ) + ( (double) endp.x * endp.x ) );
+    int seg_len = KiROUND( EuclideanNorm( endp ) );
 
     int delta = 3600 / aCircleToSegmentsCount; // rot angle in 0.1 degree
 

common/gr_basic.cpp

@@ -1075,7 +1075,7 @@ void GRArc1( EDA_RECT* ClipBox, wxDC* DC, int x1, int y1, int x2, int y2,
         y0 = ClipBox->GetY();
         xm = ClipBox->GetRight();
         ym = ClipBox->GetBottom();
-        r  = (int) hypot( x1 - xc, y1 - yc );
+        r  = KiROUND( Distance( x1, y1, xc, yc ) );
         if( xc < ( x0 - r ) )
             return;
         if( yc < ( y0 - r ) )

common/pcbcommon.cpp

@@ -55,6 +55,7 @@ LAYER_MSK g_TabAllCopperLayerMask[NB_COPPER_LAYERS] = {
 
 DISPLAY_OPTIONS DisplayOpt;      // Display options for board items
 
+// This will be always be 450 or 900 (by UI design) at the moment
 int    g_RotationAngle;
 
 int    g_AnchorColor        = BLUE;

common/trigo.cpp

@@ -29,7 +29,8 @@ static inline double square( int x )    // helper function to calculate x*x
 {
     return (double) x * x;
 }
-bool TestSegmentHit( wxPoint aRefPoint, wxPoint aStart, wxPoint aEnd, int aDist )
+bool TestSegmentHit( const wxPoint &aRefPoint, wxPoint aStart, 
+                     wxPoint aEnd, int aDist )
 {
     // test for vertical or horizontal segment
     if( aEnd.x == aStart.x )
@@ -84,7 +85,7 @@ bool TestSegmentHit( wxPoint aRefPoint, wxPoint aStart, wxPoint aEnd, int aDist
         // the distance should be carefully calculated
         if( (aStart.x - aRefPoint.x) <= aDist )
         {
-            double dd = square( aRefPoint.x - aStart.x) +
+            double dd = square( aRefPoint.x - aStart.x ) +
                         square( aRefPoint.y - aStart.y );
             if( dd <= square( aDist ) )
                 return true;
@@ -92,8 +93,8 @@ bool TestSegmentHit( wxPoint aRefPoint, wxPoint aStart, wxPoint aEnd, int aDist
 
         if( (aRefPoint.x - aEnd.x) <= aDist )
         {
-            double dd = square(aRefPoint.x - aEnd.x) +
-                        square( aRefPoint.y - aEnd.y);
+            double dd = square( aRefPoint.x - aEnd.x ) +
+                        square( aRefPoint.y - aEnd.y );
             if( dd <= square( aDist ) )
                 return true;
         }
@@ -157,9 +158,14 @@ bool TestSegmentHit( wxPoint aRefPoint, wxPoint aStart, wxPoint aEnd, int aDist
 }
 
 
-int ArcTangente( int dy, int dx )
+double ArcTangente( int dy, int dx )
 {
-    double fangle;
+
+    /* gcc is surprisingly smart in optimizing these conditions in
+       a tree! */
+    
+    if( dx == 0 && dy == 0 )
+        return 0;
 
     if( dy == 0 )
     {
@@ -193,8 +199,7 @@ int ArcTangente( int dy, int dx )
             return 1800 - 450;
     }
 
-    fangle = atan2( (double) dy, (double) dx ) / M_PI * 1800;
-    return KiROUND( fangle );
+    return atan2( dy, dx ) / M_PI * 1800;
 }
 
 
@@ -202,11 +207,7 @@ void RotatePoint( int* pX, int* pY, double angle )
 {
     int tmp;
 
-    while( angle < 0 )
-        angle += 3600;
-
-    while( angle >= 3600 )
-        angle -= 3600;
+    NORMALIZE_ANGLE_POS( angle );
 
     // Cheap and dirty optimizations for 0, 90, 180, and 270 degrees.
     if( angle == 0 )
@@ -287,11 +288,7 @@ void RotatePoint( double* pX, double* pY, double angle )
 {
     double tmp;
 
-    while( angle < 0 )
-        angle += 3600;
-
-    while( angle >= 3600 )
-        angle -= 3600;
+    NORMALIZE_ANGLE_POS( angle );
 
     // Cheap and dirty optimizations for 0, 90, 180, and 270 degrees.
     if( angle == 0 )
@@ -327,37 +324,3 @@ void RotatePoint( double* pX, double* pY, double angle )
     }
 }
 
-
-double EuclideanNorm( wxPoint vector )
-{
-    return hypot( (double) vector.x, (double) vector.y );
-}
-
-double DistanceLinePoint( wxPoint linePointA, wxPoint linePointB, wxPoint referencePoint )
-{
-    return fabs( (double) ( (linePointB.x - linePointA.x) * (linePointA.y - referencePoint.y) -
-                 (linePointA.x - referencePoint.x ) * (linePointB.y - linePointA.y) )
-                  / EuclideanNorm( linePointB - linePointA ) );
-}
-
-
-bool HitTestPoints( wxPoint pointA, wxPoint pointB, double threshold )
-{
-    wxPoint vectorAB = pointB - pointA;
-    double  distance = EuclideanNorm( vectorAB );
-
-    return distance < threshold;
-}
-
-
-double CrossProduct( wxPoint vectorA, wxPoint vectorB )
-{
-    return (double)vectorA.x * vectorB.y - (double)vectorA.y * vectorB.x;
-}
-
-
-double GetLineLength( const wxPoint& aPointA, const wxPoint& aPointB )
-{
-    return hypot( (double) aPointA.x - (double) aPointB.x,
-                  (double) aPointA.y - (double) aPointB.y );
-}

eeschema/lib_arc.cpp

@@ -757,7 +757,7 @@ void LIB_ARC::calcEdit( const wxPoint& aPosition )
         dy = m_ArcEnd.y - m_ArcStart.y;
         cX -= m_ArcStart.x;
         cY -= m_ArcStart.y;
-        angle = (int) ( atan2( (double) dy, (double) dx ) * 1800 / M_PI );
+        angle = ArcTangente( dy, dx );
         RotatePoint( &dx, &dy, angle );     /* The segment dx, dy is horizontal
                                              * -> Length = dx, dy = 0 */
         RotatePoint( &cX, &cY, angle );
@@ -786,11 +786,9 @@ void LIB_ARC::calcRadiusAngles()
 
     m_Radius = KiROUND( EuclideanNorm( centerStartVector ) );
 
-    m_t1 = (int) ( atan2( (double) centerStartVector.y,
-                          (double) centerStartVector.x ) * 1800 / M_PI );
-
-    m_t2 = (int) ( atan2( (double) centerEndVector.y,
-                          (double) centerEndVector.x ) * 1800 / M_PI );
+    // Angles in eeschema are still integers
+    m_t1 = KiROUND( ArcTangente( centerStartVector.y, centerStartVector.x ) );
+    m_t2 = KiROUND( ArcTangente( centerEndVector.y, centerEndVector.x ) );
 
     NORMALIZE_ANGLE_POS( m_t1 );
     NORMALIZE_ANGLE_POS( m_t2 );  // angles = 0 .. 3600

eeschema/lib_circle.cpp

@@ -107,8 +107,7 @@ bool LIB_CIRCLE::HitTest( wxPoint aPosRef, int aThreshold, const TRANSFORM& aTra
 
     wxPoint relpos = aPosRef - aTransform.TransformCoordinate( m_Pos );
 
-    int dist = KiROUND( sqrt( ( (double) relpos.x * relpos.x ) +
-                              ( (double) relpos.y * relpos.y ) ) );
+    int dist = KiROUND( EuclideanNorm( relpos ) ); 
 
     if( abs( dist - m_Radius ) <= aThreshold )
         return true;
@@ -348,7 +347,7 @@ void LIB_CIRCLE::calcEdit( const wxPoint& aPosition )
 
         int dx = m_Pos.x - aPosition.x;
         int dy = m_Pos.y - aPosition.y;
-        m_Radius = KiROUND( sqrt( ( (double) dx * dx ) + ( (double) dy * dy ) ) );
+        m_Radius = KiROUND( hypot( dx, dy ) );
     }
     else
     {

eeschema/sch_base_frame.cpp

@@ -159,7 +159,7 @@ void SCH_BASE_FRAME::UpdateStatusBar()
     }
 
     // We already decided the formatter above
-    line.Printf( locformatter, dXpos, dYpos, sqrt( dXpos * dXpos + dYpos * dYpos ) );
+    line.Printf( locformatter, dXpos, dYpos, hypot( dXpos, dYpos ) );
     SetStatusText( line, 3 );
 
     // refresh units display

eeschema/transform.cpp

 
 #include <macros.h>
 #include <transform.h>
+#include <common.h>
+#include <trigo.h>
 
 
 TRANSFORM& TRANSFORM::operator=( const TRANSFORM& aTransform )
@@ -77,7 +79,7 @@ bool TRANSFORM::MapAngles( int* aAngle1, int* aAngle2 ) const
     t = x * x1 + y * y1;
     y = x * x2 + y * y2;
     x = t;
-    *aAngle1 = (int) ( atan2( y, x ) * 1800.0 / M_PI + 0.5 );
+    *aAngle1 = KiROUND( ArcTangente( y, x ) );
 
     x = cos( *aAngle2 * M_PI / 1800.0 );
     y = sin( *aAngle2 * M_PI / 1800.0 );

gerbview/class_aperture_macro.cpp

@@ -444,7 +444,7 @@ void AM_PRIMITIVE::ConvertShapeToPolygon( GERBER_DRAW_ITEM*     aParent,
         wxPoint end = mapPt( params[4].GetValue( tool ),
                              params[5].GetValue( tool ), m_GerbMetric );
         wxPoint delta = end - start;
-        int     len   = KiROUND( hypot( delta.x, delta.y ) );
+        int     len   = KiROUND( EuclideanNorm( delta ) );
 
         // To build the polygon, we must create a horizonta polygon starting to "start"
         // and rotate it to have it end point to "end"
@@ -459,7 +459,7 @@ void AM_PRIMITIVE::ConvertShapeToPolygon( GERBER_DRAW_ITEM*     aParent,
         aBuffer.push_back( currpt );
 
         // Rotate rectangle and move it to the actual start point
-        int angle = KiROUND( atan2( (double) delta.y, (double) delta.x ) * 1800.0 / M_PI );
+        int angle = ArcTangente( delta.y, delta.x );
 
         for( unsigned ii = 0; ii < 4; ii++ )
         {

gerbview/class_gerber_draw_item.cpp

@@ -360,8 +360,7 @@ void GERBER_DRAW_ITEM::Draw( EDA_DRAW_PANEL* aPanel, wxDC* aDC, GR_DRAWMODE aDra
         break;
 
     case GBR_CIRCLE:
-        radius = KiROUND(hypot( (double) ( m_End.x - m_Start.x ),
-                                (double) ( m_End.y - m_Start.y ) ));
+        radius = KiROUND( GetLineLength( m_Start, m_End ) );
 
         halfPenWidth = m_Size.x >> 1;
 

gerbview/export_to_pcbnew.cpp

@@ -332,7 +332,8 @@ void GBR_TO_PCB_EXPORTER::export_segarc_copper_item( GERBER_DRAW_ITEM* aGbrItem,
     {
         seg_start = curr_start;
         wxPoint curr_end = start;
-        RotatePoint( &curr_end, aGbrItem->m_ArcCentre, -(int) (DELTA_ANGLE * ii * 1800 / M_PI) );
+        RotatePoint( &curr_end, aGbrItem->m_ArcCentre,
+                     -(int) (DELTA_ANGLE * ii * 1800 / M_PI) );
         seg_end = curr_end;
         // Reverse Y axis:
         NEGATE( seg_start.y );

gerbview/gerbview_frame.cpp

@@ -802,14 +802,10 @@ void GERBVIEW_FRAME::UpdateStatusBar()
         dx = screen->GetCrossHairPosition().x - screen->m_O_Curseur.x;
         dy = screen->GetCrossHairPosition().y - screen->m_O_Curseur.y;
 
-        if( dx==0 && dy==0 )
-            theta = 0.0;
-        else
-            theta = atan2( (double) -dy, (double) dx );
-
-        theta = theta * 180.0 / M_PI;
+        // atan2 in the 0,0 case returns 0
+        theta = RAD2DEG( atan2( -dy, dx ) );
 
-        ro = sqrt( ( (double) dx * dx ) + ( (double) dy * dy ) );
+        ro = hypot( dx, dy );
         wxString formatter;
         switch( g_UserUnit )
         {
@@ -868,7 +864,7 @@ void GERBVIEW_FRAME::UpdateStatusBar()
         dYpos = To_User_Unit( g_UserUnit, dy );
 
         // We already decided the formatter above
-        line.Printf( locformatter, dXpos, dYpos, sqrt( dXpos * dXpos + dYpos * dYpos ) );
+        line.Printf( locformatter, dXpos, dYpos, hypot( dXpos, dYpos ) );
         SetStatusText( line, 3 );
     }
 }

gerbview/rs274d.cpp

@@ -339,8 +339,8 @@ static void fillArcPOLY(  GERBER_DRAW_ITEM* aGbrItem,
      * angle is trigonometrical (counter-clockwise),
      * and axis is the X,Y gerber coordinates
      */
-    int start_angle = KiROUND(atan2( (double) start.y, (double) start.x ) * 1800 / M_PI);
-    int end_angle = KiROUND(atan2( (double) end.y, (double) end.x ) * 1800 / M_PI);
+    int start_angle = ArcTangente( start.y, start.x );
+    int end_angle   = ArcTangente( end.y, end.x );
 
     // dummyTrack has right geometric parameters, but
     // fillArcGBRITEM calculates arc parameters for a draw function that expects

include/macros.h

@@ -57,8 +57,8 @@ static inline const wxChar* GetChars( const wxString& s )
 #endif
 }
 
-// This really need a function? anyway is used *a lot* of times
-template<class T> inline void NEGATE( T& x ) { x = -x; }
+// This really needs a function? well, it is used *a lot* of times
+template<class T> inline void NEGATE( T &x ) { x = -x; }
 
 /// # of elements in an array
 #define DIM( x )    unsigned( sizeof(x) / sizeof( (x)[0] ) )    // not size_t

include/trigo.h

@@ -28,7 +28,8 @@
 
 #ifndef TRIGO_H
 #define TRIGO_H
-
+#include <math.h>
+#include <wx/gdicmn.h> // For wxPoint
 
 /*
  * Calculate the new point of coord coord pX, pY,
@@ -46,7 +47,7 @@ void RotatePoint( int *pX, int *pY, int cx, int cy, double angle );
  * Calculates the new coord point point
  * for a rotation angle in (1 / 10 degree)
  */
-static inline void RotatePoint( wxPoint* point, double angle )
+inline void RotatePoint( wxPoint* point, double angle )
 {
     RotatePoint( &point->x, &point->y, angle );
 }
@@ -64,34 +65,69 @@ void RotatePoint( double *pX, double *pY, double cx, double cy, double angle );
 /* Return the arc tangent of 0.1 degrees coord vector dx, dy
  * between -1800 and 1800
  * Equivalent to atan2 (but faster for calculations if
- * the angle is 0 to -1800, or + - 900
+ * the angle is 0 to -1800, or + - 900)
+ * Lorenzo: In fact usually atan2 already has to do these optimizations
+ * (due to the discontinuity in tan) but this function also returns
+ * in decidegrees instead of radians, so it's handier
  */
-int ArcTangente( int dy, int dx );
+double ArcTangente( int dy, int dx );
+
+//! @brief Euclidean norm of a 2D vector
+//! @param vector Two-dimensional vector
+//! @return Euclidean norm of the vector
+inline double EuclideanNorm( const wxPoint &vector )
+{
+    // this is working with doubles
+    return hypot( vector.x, vector.y );
+}
 
 //! @brief Compute the distance between a line and a reference point
 //! Reference: http://mathworld.wolfram.com/Point-LineDistance2-Dimensional.html
 //! @param linePointA Point on line
 //! @param linePointB Point on line
 //! @param referencePoint Reference point
-double DistanceLinePoint( wxPoint linePointA, wxPoint linePointB, wxPoint referencePoint );
-
-//! @brief Euclidean norm of a 2D vector
-//! @param vector Two-dimensional vector
-//! @return Euclidean norm of the vector
-double EuclideanNorm( wxPoint vector );
+inline double DistanceLinePoint( const wxPoint &linePointA, 
+                                 const wxPoint &linePointB, 
+                                 const wxPoint &referencePoint )
+{
+    // Some of the multiple double casts are redundant. However in the previous
+    // definition the cast was (implicitly) done too late, just before
+    // the division (EuclideanNorm gives a double so from int it would
+    // be promoted); that means that the whole expression were
+    // vulnerable to overflow during int multiplications
+    return fabs( ( double(linePointB.x - linePointA.x) * 
+                   double(linePointA.y - referencePoint.y) -
+                   double(linePointA.x - referencePoint.x ) * 
+                   double(linePointB.y - linePointA.y) )
+            / EuclideanNorm( linePointB - linePointA ) );
+}
 
 //! @brief Test, if two points are near each other
 //! @param pointA First point
 //! @param pointB Second point
 //! @param threshold The maximum distance
 //! @return True or false
-bool HitTestPoints( wxPoint pointA, wxPoint pointB, double threshold );
+inline bool HitTestPoints( const wxPoint &pointA, const wxPoint &pointB, 
+                           double threshold )
+{
+    wxPoint vectorAB = pointB - pointA;
+
+    // Compare the distances squared. The double is needed to avoid
+    // overflow during int multiplication
+    double sqdistance = (double)vectorAB.x * vectorAB.x +
+                        (double)vectorAB.y * vectorAB.y;
+
+    return sqdistance < threshold * threshold;
+}
 
 //! @brief Determine the cross product
 //! @param vectorA Two-dimensional vector
 //! @param vectorB Two-dimensional vector
-double CrossProduct( wxPoint vectorA, wxPoint vectorB );
-
+inline double CrossProduct( const wxPoint &vectorA, const wxPoint &vectorB )
+{
+    // As before the cast is to avoid int overflow
+    return (double)vectorA.x * vectorB.y - (double)vectorA.y * vectorB.x;
+}
 
 /**
  * Function TestSegmentHit
@@ -102,13 +138,21 @@ double CrossProduct( wxPoint vectorA, wxPoint vectorB );
  * @param aEnd is the second end-point of the line segment
  * @param aDist = maximum distance for hit
 */
-bool TestSegmentHit( wxPoint aRefPoint, wxPoint aStart, wxPoint aEnd, int aDist );
+bool TestSegmentHit( const wxPoint &aRefPoint, wxPoint aStart, 
+                     wxPoint aEnd, int aDist );
 
 /**
  * Function GetLineLength
  * returns the length of a line segment defined by \a aPointA and \a aPointB.
- * @return Length of a line.
+ * See also EuclideanNorm and Distance for the single vector or four
+ * scalar versions
+ * @return Length of a line (as double)
  */
-double GetLineLength( const wxPoint& aPointA, const wxPoint& aPointB );
+inline double GetLineLength( const wxPoint& aPointA, const wxPoint& aPointB )
+{
+    // Implicitly casted to double
+    return hypot( aPointA.x - aPointB.x,
+                  aPointA.y - aPointB.y );
+}
 
 #endif

pcbnew/autorouter/graphpcb.cpp

@@ -35,7 +35,7 @@
 #include <macros.h>
 #include <trigo.h>
 #include <pcbcommon.h>
-
+#include <math_for_graphics.h>
 #include <class_board.h>
 #include <class_track.h>
 
@@ -125,7 +125,7 @@ void PlacePad( D_PAD* aPad, int color, int marge, int op_logic )
     {
         TraceFilledRectangle( shape_pos.x - dx, shape_pos.y - dy,
                               shape_pos.x + dx, shape_pos.y + dy,
-                              (int) aPad->GetOrientation(),
+                              aPad->GetOrientation(),
                               aPad->GetLayerMask(), color, op_logic );
     }
 }
@@ -561,8 +561,7 @@ void TraceFilledRectangle( int ux0, int uy0, int ux1, int uy1,
 
     cx    = (ux0 + ux1) / 2;
     cy    = (uy0 + uy1) / 2;
-    radius = (int) sqrt( (double) ( cx - ux0 ) * ( cx - ux0 )
-                       + (double) ( cy - uy0 ) * ( cy - uy0 ) );
+    radius = KiROUND( Distance( ux0, uy0, cx, cy ) );
 
     // Calculating coordinate limits belonging to the rectangle.
     row_max = ( cy + radius ) / RoutingMatrix.m_GridRouting;
@@ -689,7 +688,7 @@ void DrawSegmentQcq( int ux0, int uy0, int ux1, int uy1, int lg, LAYER_NUM layer
 
     if( dx )
     {
-        angle = (int) ( atan2( (double) dy, (double) dx ) * 1800 / M_PI );
+        angle = ArcTangente( dy, dx );
     }
     else
     {
@@ -758,7 +757,7 @@ void TraceCircle( int ux0, int uy0, int ux1, int uy1, int lg, LAYER_NUM layer,
     int ii;
     int angle;
 
-    radius = (int) hypot( (double) (ux1 - ux0), (double) (uy1 - uy0) );
+    radius = KiROUND( Distance( ux0, uy0, ux1, uy1 ) ); 
 
     x0 = x1 = radius;
     y0 = y1 = 0;
@@ -803,7 +802,7 @@ void TraceArc( int ux0, int uy0, int ux1, int uy1, int ArcAngle, int lg,
     int angle, StAngle;
 
 
-    radius = (int) hypot( (double) (ux1 - ux0), (double) (uy1 - uy0) );
+    radius = KiROUND( Distance( ux0, uy0, ux1, uy1 ) );
 
     x0 = ux1 - ux0;
     y0 = uy1 - uy0;
@@ -813,7 +812,7 @@ void TraceArc( int ux0, int uy0, int ux1, int uy1, int ArcAngle, int lg,
         lg = 1;
 
     nb_segm = ( 2 * radius ) / lg;
-    nb_segm = ( nb_segm * abs( ArcAngle ) ) / 3600;
+    nb_segm = ( nb_segm * std::abs( ArcAngle ) ) / 3600;
 
     if( nb_segm < 5 )
         nb_segm = 5;
@@ -826,11 +825,7 @@ void TraceArc( int ux0, int uy0, int ux1, int uy1, int ArcAngle, int lg,
         angle  = ( ArcAngle * ii ) / nb_segm;
         angle += StAngle;
 
-        while( angle >= 3600 )
-            angle -= 3600;
-
-        while( angle < 0 )
-            angle += 3600;
+        NORMALIZE_ANGLE_POS( angle );
 
         x1 = (int) ( radius * cos( DEG2RAD( (double)angle / 10.0 ) ) );
         y1 = (int) ( radius * sin( DEG2RAD( (double)angle / 10.0 ) ) );

pcbnew/autorouter/routing_matrix.cpp

@@ -317,12 +317,12 @@ void PlaceCells( BOARD* aPcb, int net_code, int flag )
             layerMask = GetLayerMask( PtText->GetLayer() );
 
             TraceFilledRectangle( ux0 - marge, uy0 - marge, ux1 + marge,
-                                  uy1 + marge, (int) (PtText->GetOrientation()),
+                                  uy1 + marge, PtText->GetOrientation(),
                                   layerMask, HOLE, WRITE_CELL );
 
             TraceFilledRectangle( ux0 - via_marge, uy0 - via_marge,
                                   ux1 + via_marge, uy1 + via_marge,
-                                  (int) (PtText->GetOrientation()),
+                                  PtText->GetOrientation(),
                                   layerMask, VIA_IMPOSSIBLE, WRITE_OR_CELL );
         }
         break;

pcbnew/basepcbframe.cpp

@@ -46,7 +46,7 @@
 #include <collectors.h>
 #include <class_drawpanel.h>
 #include <vector2d.h>
-
+#include <trigo.h>
 
 // Configuration entry names.
 static const wxString UserGridSizeXEntry( wxT( "PcbUserGrid_X" ) );
@@ -563,14 +563,9 @@ void PCB_BASE_FRAME::UpdateStatusBar()
         dx = screen->GetCrossHairPosition().x - screen->m_O_Curseur.x;
         dy = screen->GetCrossHairPosition().y - screen->m_O_Curseur.y;
 
-        if( dx==0 && dy==0 )
-            theta = 0.0;
-        else
-            theta = atan2( (double) -dy, (double) dx );
-
-        theta = theta * 180.0 / M_PI;
+        theta = ArcTangente( -dy, dx ) / 10;
 
-        ro = sqrt( ( (double) dx * dx ) + ( (double) dy * dy ) );
+        ro = hypot( dx, dy );
         wxString formatter;
         switch( g_UserUnit )
         {
@@ -661,7 +656,7 @@ void PCB_BASE_FRAME::UpdateStatusBar()
 #endif
 
         // We already decided the formatter above
-        line.Printf( locformatter, dXpos, dYpos, sqrt( dXpos * dXpos + dYpos * dYpos ) );
+        line.Printf( locformatter, dXpos, dYpos, hypot( dXpos, dYpos ) );
         SetStatusText( line, 3 );
     }
 }

pcbnew/board_items_to_polygon_shape_transform.cpp

@@ -475,7 +475,7 @@ void    CreateThermalReliefPadPolygon( std::vector<CPolyPt>& aCornerBuffer,
             double dtmp = sqrt( ( (double) outer_radius * outer_radius ) -
                                 ( (double) corner.x * corner.x ) );
             corner.y = (int) dtmp;
-            RotatePoint( &corner, 90 );
+            RotatePoint( &corner, 90 ); // 9 degrees is the spoke fillet size
 
             // calculate the ending point of the outter arc
             corner_end.x = corner.y;

pcbnew/class_dimension.cpp

@@ -240,10 +240,7 @@ void DIMENSION::AdjustDimensionDetails( bool aDoNotChangeText )
     // Calculate dimension value
     measure = KiROUND( hypot( (double) deltax, (double) deltay ) );
 
-    if( deltax || deltay )
-        angle = atan2( (double) deltay, (double) deltax );
-    else
-        angle = 0.0;
+    angle = atan2( deltay, deltax );
 
     // Calculation of parameters X and Y dimensions of the arrows and lines.
     hx = hy = ii;
@@ -266,12 +263,12 @@ void DIMENSION::AdjustDimensionDetails( bool aDoNotChangeText )
         if( m_featureLineGO.y == m_crossBarO.y )
             hy = 0;
 
-        angle_f     = angle + (M_PI * 27.5 / 180);
-        arrow_up_X  = (int) ( arrowz * cos( angle_f ) );
-        arrow_up_Y  = (int) ( arrowz * sin( angle_f ) );
-        angle_f     = angle - (M_PI * 27.5 / 180);
-        arrow_dw_X  = (int) ( arrowz * cos( angle_f ) );
-        arrow_dw_Y  = (int) ( arrowz * sin( angle_f ) );
+        angle_f     = angle + DEG2RAD( 27.5 );
+        arrow_up_X  = wxRound( arrowz * cos( angle_f ) );
+        arrow_up_Y  = wxRound( arrowz * sin( angle_f ) );
+        angle_f     = angle - DEG2RAD( 27.5 );
+        arrow_dw_X  = wxRound( arrowz * cos( angle_f ) );
+        arrow_dw_Y  = wxRound( arrowz * sin( angle_f ) );
     }
 
     m_arrowG1O.x    = m_crossBarO.x;
@@ -312,11 +309,7 @@ void DIMENSION::AdjustDimensionDetails( bool aDoNotChangeText )
 
     double newAngle = -(angle * 1800 / M_PI);
 
-    if( newAngle < 0 )
-        newAngle += 3600;
-
-    if( newAngle >= 3600 )
-        newAngle -= 3600;
+    NORMALIZE_ANGLE_POS( newAngle );
 
     if( newAngle > 900  &&  newAngle < 2700 )
         newAngle -= 1800;

pcbnew/class_drawsegment.cpp

@@ -138,16 +138,13 @@ const wxPoint DRAWSEGMENT::GetArcEnd() const
 const double DRAWSEGMENT::GetArcAngleStart() const
 {
     // due to the Y axis orient atan2 needs - y value
-    double angleStart = atan2( (double)(GetArcStart().y - GetCenter().y),
-                               (double)(GetArcStart().x - GetCenter().x) );
-    // angleStart is in radians, convert it in 1/10 degrees
-    angleStart = angleStart / M_PI * 1800.0;
+    double angleStart = ArcTangente( GetArcStart().y - GetCenter().y,
+                                     GetArcStart().x - GetCenter().x );
 
     // Normalize it to 0 ... 360 deg, to avoid discontinuity for angles near 180 deg
     // because 180 deg and -180 are very near angles when ampping betewwen -180 ... 180 deg.
     // and this is not easy to handle in calculations
-    if( angleStart < 0 )
-        angleStart += 3600.0;
+    NORMALIZE_ANGLE_POS( angleStart );
 
     return angleStart;
 }
@@ -156,7 +153,7 @@ void DRAWSEGMENT::SetAngle( double aAngle )
 {
     NORMALIZE_ANGLE_360( aAngle );
 
-    m_Angle = (int) aAngle;
+    m_Angle = aAngle;
 }
 
 
@@ -215,7 +212,7 @@ void DRAWSEGMENT::Draw( EDA_DRAW_PANEL* panel, wxDC* DC, GR_DRAWMODE draw_mode,
     switch( m_Shape )
     {
     case S_CIRCLE:
-        radius = (int) hypot( (double) (dx - ux0), (double) (dy - uy0) );
+        radius = KiROUND( Distance( ux0, uy0, dx, dy ) );
 
         if( mode == LINE )
         {
@@ -235,8 +232,8 @@ void DRAWSEGMENT::Draw( EDA_DRAW_PANEL* panel, wxDC* DC, GR_DRAWMODE draw_mode,
 
     case S_ARC:
         int StAngle, EndAngle;
-        radius    = (int) hypot( (double) (dx - ux0), (double) (dy - uy0) );
-        StAngle  = (int) ArcTangente( dy - uy0, dx - ux0 );
+        radius   = KiROUND( Distance( ux0, uy0, dx, dy ) );
+        StAngle  = ArcTangente( dy - uy0, dx - ux0 );
         EndAngle = StAngle + m_Angle;
 
         if( !panel->GetPrintMirrored() )
@@ -336,7 +333,7 @@ void DRAWSEGMENT::GetMsgPanelInfo( std::vector< MSG_PANEL_ITEM >& aList )
 
     case S_ARC:
         aList.push_back( MSG_PANEL_ITEM( shape, _( "Arc" ), RED ) );
-        msg.Printf( wxT( "%.1f" ), (double)m_Angle/10 );
+        msg.Printf( wxT( "%.1f" ), m_Angle / 10.0 );
         aList.push_back( MSG_PANEL_ITEM( _("Angle"), msg, RED ) );
         break;
 
@@ -434,7 +431,7 @@ bool DRAWSEGMENT::HitTest( const wxPoint& aPosition )
         {
             wxPoint relPos = aPosition - GetCenter();
             int radius = GetRadius();
-            int dist  = (int) hypot( (double) relPos.x, (double) relPos.y );
+            int dist   = KiROUND( EuclideanNorm( relPos ) );
 
             if( abs( radius - dist ) <= ( m_Width / 2 ) )
             {
@@ -449,8 +446,7 @@ bool DRAWSEGMENT::HitTest( const wxPoint& aPosition )
                 // and > arc angle if arc angle < 0 (CCW arc)
                 double arc_angle_start = GetArcAngleStart();    // Always 0.0 ... 360 deg, in 0.1 deg
 
-                double arc_hittest = atan2( (double) relPos.y, (double) relPos.x );
-                arc_hittest = arc_hittest / M_PI * 1800;    // angles are in 1/10 deg
+                double arc_hittest = ArcTangente( relPos.y, relPos.x );
 
                 // Calculate relative angle between the starting point of the arc, and the test point
                 arc_hittest -= arc_angle_start;

pcbnew/class_drawsegment.h

@@ -33,6 +33,8 @@
 
 #include <class_board_item.h>
 #include <PolyLine.h>
+#include <math_for_graphics.h>
+#include <trigo.h>
 
 
 class LINE_READER;
@@ -134,7 +136,7 @@ public:
      */
     int GetRadius() const
     {
-        double radius = hypot( (double) (m_End.x - m_Start.x), (double) (m_End.y - m_Start.y) );
+        double radius = GetLineLength( m_Start, m_End );
         return KiROUND( radius );
     }
 
@@ -184,9 +186,7 @@ public:
      */
     double  GetLength() const
     {
-        wxPoint delta = GetEnd() - GetStart();
-
-        return hypot( double( delta.x ), double( delta.y ) );
+        return GetLineLength( GetStart(), GetEnd() );
     }
 
     virtual void Move( const wxPoint& aMoveVector )

pcbnew/class_edge_mod.cpp

@@ -40,6 +40,7 @@
 #include <colors_selection.h>
 #include <richio.h>
 #include <macros.h>
+#include <math_for_graphics.h>
 #include <wxBasePcbFrame.h>
 #include <pcbcommon.h>
 #include <msgpanel.h>
@@ -163,7 +164,7 @@ void EDGE_MODULE::Draw( EDA_DRAW_PANEL* panel, wxDC* DC, GR_DRAWMODE draw_mode,
         break;
 
     case S_CIRCLE:
-        radius = (int) hypot( (double) (dx - ux0), (double) (dy - uy0) );
+        radius = KiROUND( Distance( ux0, uy0, dx, dy ) );
 
         if( typeaff == LINE )
         {
@@ -185,8 +186,8 @@ void EDGE_MODULE::Draw( EDA_DRAW_PANEL* panel, wxDC* DC, GR_DRAWMODE draw_mode,
         break;
 
     case S_ARC:
-        radius   = (int) hypot( (double) (dx - ux0), (double) (dy - uy0) );
-        StAngle  = (int) ArcTangente( dy - uy0, dx - ux0 );
+        radius   = KiROUND( Distance( ux0, uy0, dx, dy ) );
+        StAngle  = ArcTangente( dy - uy0, dx - ux0 );
         EndAngle = StAngle + m_Angle;
 
         if( StAngle > EndAngle )

pcbnew/class_module.cpp

@@ -495,7 +495,7 @@ void MODULE::GetMsgPanelInfo( std::vector< MSG_PANEL_ITEM >& aList )
 
     aList.push_back( MSG_PANEL_ITEM( _( "Stat" ), msg, MAGENTA ) );
 
-    msg.Printf( wxT( "%.1f" ), (float) m_Orient / 10 );
+    msg.Printf( wxT( "%.1f" ), m_Orient / 10.0 );
     aList.push_back( MSG_PANEL_ITEM( _( "Orient" ), msg, BROWN ) );
 
     // Controls on right side of the dialog

pcbnew/class_pad.cpp

@@ -555,10 +555,10 @@ void D_PAD::GetMsgPanelInfo( std::vector< MSG_PANEL_ITEM>& aList )
 
     if( module_orient )
         Line.Printf( wxT( "%3.1f(+%3.1f)" ),
-                     (double) ( m_Orient - module_orient ) / 10,
-                     (double) module_orient / 10 );
+                     ( m_Orient - module_orient ) / 10.0,
+                     module_orient / 10.0 );
     else
-        Line.Printf( wxT( "%3.1f" ), (double) m_Orient / 10 );
+        Line.Printf( wxT( "%3.1f" ), m_Orient / 10.0 );
 
     aList.push_back( MSG_PANEL_ITEM( _( "Orient" ), Line, LIGHTBLUE ) );
 
@@ -586,7 +586,6 @@ bool D_PAD::IsOnLayer( LAYER_NUM aLayer ) const
 bool D_PAD::HitTest( const wxPoint& aPosition )
 {
     int     dx, dy;
-    double  dist;
 
     wxPoint shape_pos = ReturnShapePos();
 
@@ -604,9 +603,7 @@ bool D_PAD::HitTest( const wxPoint& aPosition )
     switch( m_PadShape & 0x7F )
     {
     case PAD_CIRCLE:
-        dist = hypot( delta.x, delta.y );
-
-        if( KiROUND( dist ) <= dx )
+        if( KiROUND( EuclideanNorm( delta ) ) <= dx )
             return true;
 
         break;

pcbnew/class_pad_draw_functions.cpp

@@ -527,7 +527,7 @@ void D_PAD::DrawShape( EDA_RECT* aClipBox, wxDC* aDC, PAD_DRAWINFO& aDrawInfo )
     // area of the pad
     RotatePoint( &tpos, shape_pos, angle );
 
-    /* Draw text with an angle between -90 deg and + 90 deg */
+    // Draw text with an angle between -90 deg and + 90 deg
     int t_angle = angle;
     NORMALIZE_ANGLE_90( t_angle );
 
@@ -595,7 +595,8 @@ void D_PAD::DrawShape( EDA_RECT* aClipBox, wxDC* aDC, PAD_DRAWINFO& aDrawInfo )
  * aSegStart and aSegEnd are the ending points of the equivalent segment of the shape
  * aRotation is the asked rotation of the segment (usually m_Orient)
  */
-int D_PAD::BuildSegmentFromOvalShape(wxPoint& aSegStart, wxPoint& aSegEnd, int aRotation) const
+int D_PAD::BuildSegmentFromOvalShape(wxPoint& aSegStart, wxPoint& aSegEnd,
+                                     int aRotation) const
 {
     int width;
 
@@ -628,7 +629,8 @@ int D_PAD::BuildSegmentFromOvalShape(wxPoint& aSegStart, wxPoint& aSegEnd, int a
 }
 
 
-void D_PAD::BuildPadPolygon( wxPoint aCoord[4], wxSize aInflateValue, int aRotation ) const
+void D_PAD::BuildPadPolygon( wxPoint aCoord[4], wxSize aInflateValue,
+                             int aRotation ) const
 {
     if( (GetShape() != PAD_RECT) && (GetShape() != PAD_TRAPEZOID) )
         return;
@@ -696,7 +698,7 @@ void D_PAD::BuildPadPolygon( wxPoint aCoord[4], wxSize aInflateValue, int aRotat
         if( delta.y )    // lower and upper segment is horizontal
         {
             // Calculate angle of left (or right) segment with vertical axis
-            angle = atan2( double( m_DeltaSize.y ), double( m_Size.y ) );
+            angle = atan2( m_DeltaSize.y, m_Size.y );
 
             // left and right sides are moved by aInflateValue.x in their perpendicular direction
             // We must calculate the corresponding displacement on the horizontal axis

pcbnew/class_pcb_text.cpp

@@ -136,7 +136,7 @@ void TEXTE_PCB::GetMsgPanelInfo( std::vector< MSG_PANEL_ITEM >& aList )
     else
         aList.push_back( MSG_PANEL_ITEM( _( "Mirror" ), _( "Yes" ), DARKGREEN ) );
 
-    msg.Printf( wxT( "%.1f" ), (float) m_Orient / 10 );
+    msg.Printf( wxT( "%.1f" ), m_Orient / 10.0 );
     aList.push_back( MSG_PANEL_ITEM( _( "Orientation" ), msg, DARKGREEN ) );
 
     msg = ::CoordinateToString( m_Thickness );

pcbnew/class_text_mod.cpp

@@ -385,7 +385,7 @@ void TEXTE_MODULE::GetMsgPanelInfo( std::vector< MSG_PANEL_ITEM >& aList )
 
     aList.push_back( MSG_PANEL_ITEM( _( "Mirror" ), msg, DARKGREEN ) );
 
-    msg.Printf( wxT( "%.1f" ), (float) m_Orient / 10 );
+    msg.Printf( wxT( "%.1f" ), m_Orient / 10.0 );
     aList.push_back( MSG_PANEL_ITEM( _( "Orient" ), msg, DARKGREEN ) );
 
     msg = ::CoordinateToString( m_Thickness );

pcbnew/class_track.cpp

@@ -33,6 +33,7 @@
 #include <gr_basic.h>
 #include <common.h>
 #include <trigo.h>
+#include <macros.h>
 #include <class_drawpanel.h>
 #include <class_pcb_screen.h>
 #include <drawtxt.h>
@@ -295,7 +296,7 @@ STATUS_FLAGS TRACK::IsPointOnEnds( const wxPoint& point, int min_dist )
     {
         double dist = hypot( (double)dx, (double) dy );
 
-        if( min_dist >= (int) dist )
+        if( min_dist >= KiROUND( dist ) )
             result |= STARTPOINT;
     }
 
@@ -311,7 +312,7 @@ STATUS_FLAGS TRACK::IsPointOnEnds( const wxPoint& point, int min_dist )
     {
         double dist = hypot( (double) dx, (double) dy );
 
-        if( min_dist >= (int) dist )
+        if( min_dist >= KiROUND( dist ) )
             result |= ENDPOINT;
     }
 
@@ -618,8 +619,7 @@ void TRACK::Draw( EDA_DRAW_PANEL* panel, wxDC* aDC, GR_DRAWMODE aDrawMode,
 
     if( m_Shape == S_CIRCLE )
     {
-        radius = (int) hypot( (double) ( m_End.x - m_Start.x ),
-                              (double) ( m_End.y - m_Start.y ) );
+        radius = KiROUND( GetLineLength( m_Start, m_End ) );
 
         if( aDC->LogicalToDeviceXRel( l_trace ) <= MIN_DRAW_WIDTH )
         {
@@ -691,7 +691,7 @@ void TRACK::Draw( EDA_DRAW_PANEL* panel, wxDC* aDC, GR_DRAWMODE aDrawMode,
 
     #define THRESHOLD 10
 
-    int len = int( hypot( (m_End.x - m_Start.x), (m_End.y - m_Start.y) ) );
+    int len = KiROUND( GetLineLength( m_Start, m_End ) );
 
     if( len < THRESHOLD * m_Width )
         return;

pcbnew/class_track.h

@@ -34,6 +34,7 @@
 #include <class_board_item.h>
 #include <class_board_connected_item.h>
 #include <PolyLine.h>
+#include <trigo.h>
 
 
 class TRACK;
@@ -155,10 +156,7 @@ public:
      */
     double GetLength() const
     {
-        double dx = m_Start.x - m_End.x;
-        double dy = m_Start.y - m_End.y;
-
-        return hypot( dx, dy );
+        return GetLineLength( m_Start, m_End );
     }
 
     /* Display on screen: */

pcbnew/connect.cpp

@@ -348,7 +348,7 @@ int CONNECTIONS::SearchConnectedTracks( const TRACK * aTrack )
             // We have a good candidate: calculate the actual distance
             // between ends, which should be <= dist max.
             wxPoint delta = tracks_candidates[ii]->GetPoint() - position;
-            int dist = (int) hypot( (double) delta.x, (double) delta.y );
+            int dist = KiROUND( EuclideanNorm( delta ) );
 
             if( dist > dist_max )
                 continue;

pcbnew/dialogs/dialog_edit_module_text.cpp

@@ -122,7 +122,7 @@ void DialogEditModuleText::initDlg( )
         msg.Printf( format,
                     GetChars( m_module->GetReference() ),
                     GetChars( m_module->GetValue() ),
-                    (float) m_module->GetOrientation() / 10 );
+                    m_module->GetOrientation() / 10.0 );
     }
     else
     {

pcbnew/dialogs/dialog_orient_footprints.cpp

@@ -110,12 +110,13 @@ void PCB_EDIT_FRAME::OnOrientFootprints( wxCommandEvent& event )
 }
 
 
-bool PCB_EDIT_FRAME::ReOrientModules( const wxString& ModuleMask, int Orient, bool include_fixe )
+bool PCB_EDIT_FRAME::ReOrientModules( const wxString& ModuleMask, int Orient,
+                                      bool include_fixe )
 {
     wxString line;
     bool modified = false;
 
-    line.Printf( _( "OK to set footprints orientation to %.1f degrees ?" ), (double)Orient / 10 );
+    line.Printf( _( "OK to set footprints orientation to %.1f degrees ?" ), Orient / 10.0 );
 
     if( !IsOK( this, line ) )
         return false;

pcbnew/dialogs/dialog_pad_properties.cpp

@@ -280,7 +280,7 @@ void DIALOG_PAD_PROPERTIES::initValues()
             m_staticModuleSideValue->SetLabel( _( "Back side (footprint is mirrored)" ) );
         }
 
-        msg.Printf( wxT( "%.1f" ), (double) module->GetOrientation() / 10 );
+        msg.Printf( wxT( "%.1f" ), module->GetOrientation() / 10.0 );
         m_staticModuleRotValue->SetLabel( msg );
     }
 

pcbnew/dimension.cpp

@@ -329,12 +329,12 @@ static void BuildDimension( EDA_DRAW_PANEL* aPanel, wxDC* aDC,
         delta = Dimension->m_featureLineDO - Dimension->m_featureLineGO;
 
         /* Calculating the direction of travel perpendicular to the selected axis. */
-        angle = atan2( (double)delta.y, (double)delta.x ) + (M_PI / 2);
+        angle = atan2( delta.y, delta.x ) + (M_PI / 2);
 
         delta = pos - Dimension->m_featureLineDO;
         depl   = ( delta.x * cos( angle ) ) + ( delta.y * sin( angle ) );
-        dx = (int) ( depl * cos( angle ) );
-        dy = (int) ( depl * sin( angle ) );
+        dx = KiROUND( depl * cos( angle ) );
+        dy = KiROUND( depl * sin( angle ) );
         Dimension->m_crossBarO.x = Dimension->m_featureLineGO.x + dx;
         Dimension->m_crossBarO.y = Dimension->m_featureLineGO.y + dy;
         Dimension->m_crossBarF.x = Dimension->m_featureLineDO.x + dx;

pcbnew/dragsegm.cpp

@@ -359,7 +359,7 @@ void Collect_TrackSegmentsToDrag( BOARD* aPcb, const wxPoint& aRefPos, LAYER_MSK
 
             if( std::abs( delta.x ) <= maxdist && std::abs( delta.y ) <= maxdist )
             {
-                int dist = (int) hypot( (double) delta.x, (double) delta.y );
+                int dist = KiROUND( EuclideanNorm( delta ) );
 
                 if( dist <= maxdist )
                 {
@@ -377,7 +377,7 @@ void Collect_TrackSegmentsToDrag( BOARD* aPcb, const wxPoint& aRefPos, LAYER_MSK
 
             if( std::abs( delta.x ) <= maxdist && std::abs( delta.y ) <= maxdist )
             {
-                int dist = (int) hypot( (double) delta.x, (double) delta.y );
+                int dist = KiROUND( EuclideanNorm( delta ) );
 
                 if( dist <= maxdist )
                     flag |= ENDPOINT;

pcbnew/drc_clearance_test_functions.cpp

@@ -362,7 +362,7 @@ bool DRC::doTrackDrc( TRACK* aRefSeg, TRACK* aStart, bool testPads )
             if( track->Type() == PCB_VIA_T )
             {
                 // Test distance between two vias, i.e. two circles, trivial case
-                if( (int) hypot( segStartPoint.x, segStartPoint.y ) < w_dist )
+                if( EuclideanNorm( segStartPoint ) < w_dist )
                 {
                     m_currentMarker = fillMarker( aRefSeg, track,
                                                   DRCE_VIA_NEAR_VIA, m_currentMarker );
@@ -527,7 +527,7 @@ bool DRC::doTrackDrc( TRACK* aRefSeg, TRACK* aStart, bool testPads )
                     segEndPoint   = track->GetEnd();
                     delta = segEndPoint - segStartPoint;
 
-                    /* Compute the segment orientation (angle) en 0,1 degre */
+                    // Compute the segment orientation (angle) en 0,1 degre
                     int angle = ArcTangente( delta.y, delta.x );
 
                     // Compute the segment lenght: delta.x = lenght after rotation
@@ -580,7 +580,7 @@ bool DRC::checkClearancePadToPad( D_PAD* aRefPad, D_PAD* aPad )
     // relativePadPos is the aPad shape position relative to the aRefPad shape position
     wxPoint relativePadPos = aPad->ReturnShapePos() - aRefPad->ReturnShapePos();
 
-    dist = (int) hypot( relativePadPos.x, relativePadPos.y );
+    dist = KiROUND( EuclideanNorm( relativePadPos ) );
 
     // Quick test: Clearance is OK if the bounding circles are further away than "dist_min"
     if( (dist - aRefPad->GetBoundingRadius() - aPad->GetBoundingRadius()) >= dist_min )
@@ -1017,7 +1017,7 @@ bool DRC::checkMarginToCircle( wxPoint aCentre, int aRadius, int aLength )
         if( aCentre.x > aLength )   // aCentre is after the ending point
             aCentre.x -= aLength;   // move aCentre to the starting point of the segment
 
-        if( hypot( aCentre.x, aCentre.y ) < aRadius )
+        if( EuclideanNorm( aCentre ) < aRadius )
             // distance between aCentre and the starting point or the ending point is < aRadius
             return false;
     }

pcbnew/drc_marker_functions.cpp

@@ -77,10 +77,8 @@ MARKER_PCB* DRC::fillMarker( TRACK* aTrack, BOARD_ITEM* aItem, int aErrorCode, M
             // distance from end of aTrack.
             position = track->GetStart();
 
-            double dToEnd = hypot( endPos.x - aTrack->GetEnd().x,
-                                   endPos.y - aTrack->GetEnd().y );
-            double dToStart = hypot( position.x - aTrack->GetEnd().x,
-                                     position.y - aTrack->GetEnd().y );
+            double dToEnd = GetLineLength( endPos, aTrack->GetEnd() );
+            double dToStart = GetLineLength( position, aTrack->GetEnd() );
 
             if( dToEnd < dToStart )
                 position = endPos;

pcbnew/edgemod.cpp

@@ -314,7 +314,6 @@ EDGE_MODULE* FOOTPRINT_EDIT_FRAME::Begin_Edge_Module( EDGE_MODULE* aEdge,
                                                       STROKE_T     type_edge )
 {
     MODULE* module = GetBoard()->m_Modules;
-    int     angle  = 0;
 
     if( module == NULL )
         return NULL;
@@ -331,7 +330,7 @@ EDGE_MODULE* FOOTPRINT_EDIT_FRAME::Begin_Edge_Module( EDGE_MODULE* aEdge,
 
         // Update characteristics of the segment or arc.
         aEdge->SetFlags( IS_NEW );
-        aEdge->SetAngle( angle );
+        aEdge->SetAngle( 0 );
         aEdge->SetShape( type_edge );
 
         if( aEdge->GetShape() == S_ARC )

pcbnew/export_gencad.cpp

@@ -1058,9 +1058,8 @@ static void FootprintWriteShape( FILE* aFile, MODULE* module )
 
                 case S_CIRCLE:
                 {
-                    int radius = (int) hypot(
-                        (double) ( PtEdge->m_End0.x - PtEdge->m_Start0.x ),
-                        (double) ( PtEdge->m_End0.y - PtEdge->m_Start0.y ) );
+                    int radius = KiROUND( GetLineLength( PtEdge->m_End0,
+                                                         PtEdge->m_Start0 ) );
                     fprintf( aFile, "CIRCLE %g %g %g\n",
                              PtEdge->m_Start0.x / SCALE_FACTOR,
                              Yaxis_sign * PtEdge->m_Start0.y / SCALE_FACTOR,

pcbnew/export_vrml.cpp

@@ -388,6 +388,7 @@ static void export_vrml_line( LAYER_NUM layer, double startx, double starty, //{
 
     alpha = angle + PI2;
     fan.add( endx + r * cos( alpha ), endy + r * sin( alpha ) );
+
     // The 'start' side cap
     for( alpha = angle + PI2; alpha < angle + 3 * PI2; alpha += PI2 / divisions )
         fan.add( startx + r * cos( alpha ), starty + r * sin( alpha ) );
@@ -538,7 +539,7 @@ static void export_vrml_arc( LAYER_NUM layer, double centerx, double centery,
 
     double divisions = arc_angle*M_PI/180.0 / count;
 
-    double outer_radius = hypot( arc_starty - centery, arc_startx - centerx )
+    double outer_radius = Distance( arc_startx, arc_starty, centerx, centery ) 
                           + ( width / 2);
     double inner_radius  = outer_radius - width;
 
@@ -568,7 +569,7 @@ static void export_vrml_varc( TRIANGLEBAG& triangles,
     loop.z_bottom = layer_z[bottom_layer];
 
     double start_angle = atan2( arc_starty - centery, arc_startx - centerx );
-    double radius = hypot( arc_starty - centery, arc_startx - centerx );
+    double radius = Distance( arc_startx, arc_starty, centerx, centery );
 
     int count = KiROUND( arc_angle / 360.0 * SEGM_COUNT_PER_360 );
 
@@ -617,7 +618,7 @@ static void export_vrml_drawsegment( DRAWSEGMENT* drawseg ) //{{{
         case S_CIRCLE:
             export_vrml_hole( layer_triangles[layer],
                               FIRST_COPPER_LAYER, LAST_COPPER_LAYER, x, y,
-                              hypot( xf - x, yf - y ) / 2 );
+                              Distance( xf, yf, x, y ) / 2 );
             break;
 
         default:
@@ -905,7 +906,8 @@ static void export_vrml_pad( BOARD* pcb, D_PAD* aPad ) //{{{
             // Oblong hole (slot)
             export_vrml_slot( layer_triangles[EDGE_N],
                               FIRST_COPPER_LAYER, LAST_COPPER_LAYER,
-                              hole_x, hole_y, hole_drill_w, hole_drill_h, aPad->GetOrientation() );
+                              hole_x, hole_y, hole_drill_w, hole_drill_h,
+                              aPad->GetOrientation() );
         }
         else
         {
@@ -1109,10 +1111,10 @@ static void export_vrml_module( BOARD* aPcb, MODULE* aModule,
 
         // Do some quaternion munching
         double q1[4], q2[4], rot[4];
-        build_quat( 1, 0, 0, rotx / 180.0 * M_PI, q1 );
-        build_quat( 0, 1, 0, roty / 180.0 * M_PI, q2 );
+        build_quat( 1, 0, 0, DEG2RAD( rotx ), q1 );
+        build_quat( 0, 1, 0, DEG2RAD( roty ), q2 );
         compose_quat( q1, q2, q1 );
-        build_quat( 0, 0, 1, rotz / 180.0 * M_PI, q2 );
+        build_quat( 0, 0, 1, DEG2RAD( rotz ), q2 );
         compose_quat( q1, q2, q1 );
 
         // Note here aModule->GetOrientation() is in 0.1 degrees,
@@ -1140,7 +1142,7 @@ static void export_vrml_module( BOARD* aPcb, MODULE* aModule,
         else    // In normal mode, Y axis is reversed in Pcbnew.
             NEGATE(offsety);
 
-        RotatePoint(&offsetx, &offsety, aModule->GetOrientation());
+        RotatePoint( &offsetx, &offsety, aModule->GetOrientation() );
 
         fprintf( aOutputFile, "  translation %g %g %g\n",
                  (offsetx + aModule->GetPosition().x) * boardIU2WRML,

pcbnew/gen_modules_placefile.cpp

@@ -485,7 +485,7 @@ int PCB_EDIT_FRAME::DoGenFootprintsPositionFile( const wxString& aFullFileName,
         sprintf( text, " %9.4f  %9.4f  %8.1f    ",
                  module_pos.x * conv_unit,
                  -module_pos.y * conv_unit,
-                 double(list[ii].m_Module->GetOrientation()) / 10 );
+                 list[ii].m_Module->GetOrientation() / 10.0 );
 
         LAYER_NUM layer = list[ii].m_Module->GetLayer();
 
@@ -640,7 +640,7 @@ bool PCB_EDIT_FRAME::DoGenFootprintsReport( const wxString& aFullFilename, bool
                      module_pos.y * conv_unit );
             fputs( line, rptfile );
 
-            sprintf( line, "orientation  %.2f\n", (double) Module->GetOrientation() / 10 );
+            sprintf( line, "orientation  %.2f\n", Module->GetOrientation() / 10.0 );
 
             if( Module->GetLayer() == LAYER_N_FRONT )
                 strcat( line, "layer component\n" );
@@ -675,7 +675,7 @@ bool PCB_EDIT_FRAME::DoGenFootprintsReport( const wxString& aFullFilename, bool
                 fputs( line, rptfile );
 
                 sprintf( line, "orientation  %.2f\n",
-                         double(pad->GetOrientation() - Module->GetOrientation()) / 10 );
+                         (pad->GetOrientation() - Module->GetOrientation()) / 10.0 );
                 fputs( line, rptfile );
 
                 static const char* shape_name[6] = { "???", "Circ", "Rect", "Oval", "Trap", "Spec" };
@@ -751,7 +751,7 @@ void WriteDrawSegmentPcb( DRAWSEGMENT* PtDrawSegment, FILE* rptfile, double aCon
     switch( PtDrawSegment->GetShape() )
     {
     case S_CIRCLE:
-        radius = hypot( dx - ux0, dy - uy0 );
+        radius = Distance( ux0, uy0, dx, dy );
         fprintf( rptfile, "$CIRCLE \n" );
         fprintf( rptfile, "centre %.6lf %.6lf\n", ux0, uy0 );
         fprintf( rptfile, "radius %.6lf\n", radius );
@@ -764,7 +764,7 @@ void WriteDrawSegmentPcb( DRAWSEGMENT* PtDrawSegment, FILE* rptfile, double aCon
             int endx = PtDrawSegment->GetEnd().x;
             int endy = PtDrawSegment->GetEnd().y;
 
-            radius = hypot( dx - ux0, dy - uy0 );
+            radius = Distance( ux0, uy0, dx, dy );
             RotatePoint( &endx,
                          &endy,
                          PtDrawSegment->GetStart().x,

pcbnew/gpcb_plugin.cpp

@@ -564,7 +564,7 @@ MODULE* GPCB_FPL_CACHE::parseMODULE( LINE_READER* aLineReader ) throw( IO_ERROR,
 
             wxPoint padPos( (x1 + x2) / 2, (y1 + y2) / 2 );
 
-            pad->SetSize( wxSize( KiROUND( hypot( (double)delta.x, (double)delta.y ) ) + width,
+            pad->SetSize( wxSize( KiROUND( EuclideanNorm( delta ) ) + width,
                                   width ) );
 
             padPos += module->GetPosition();

pcbnew/magnetic_tracks_functions.cpp

@@ -251,11 +251,8 @@ bool Magnetize( PCB_EDIT_FRAME* frame, int aCurrentTool, wxSize aGridSize,
                 // a new track and that new track is parallel to the track the
                 // mouse is on. Find the nearest end point of the track under mouse
                 // to the mouse and return that.
-                double distStart = hypot( double( curpos->x - track->GetStart().x ),
-                                          double( curpos->y - track->GetStart().y ));
-
-                double distEnd   = hypot( double( curpos->x - track->GetEnd().x ),
-                                          double( curpos->y - track->GetEnd().y ));
+                double distStart = GetLineLength( *curpos, track->GetStart() );
+                double distEnd   = GetLineLength( *curpos, track->GetEnd() );
 
                 // if track not via, or if its a via dragging but not with its adjacent track
                 if( currTrack->Type() != PCB_VIA_T

pcbnew/muonde.cpp

@@ -104,8 +104,8 @@ static void ShowBoundingBoxMicroWaveInductor( EDA_DRAW_PANEL* aPanel, wxDC* aDC,
 
     wxPoint poly[5];
     wxPoint pt    = Mself.m_End - Mself.m_Start;
-    int     angle = -KiROUND( atan2( (double) pt.y, (double) pt.x ) * 1800.0 / M_PI );
-    int     len   = KiROUND( sqrt( (double) pt.x * pt.x + (double) pt.y * pt.y ) );
+    double  angle = -ArcTangente( pt.y, pt.x );
+    int     len   = KiROUND( EuclideanNorm( pt ) );
 
     // calculate corners
     pt.x = 0; pt.y = len / 4;
@@ -125,8 +125,8 @@ static void ShowBoundingBoxMicroWaveInductor( EDA_DRAW_PANEL* aPanel, wxDC* aDC,
 
     Mself.m_End = aPanel->GetScreen()->GetCrossHairPosition();
     pt    = Mself.m_End - Mself.m_Start;
-    angle = -KiROUND( atan2( (double) pt.y, (double) pt.x ) * 1800.0 / M_PI );
-    len   = KiROUND( sqrt( (double) pt.x * pt.x + (double) pt.y * pt.y ) );
+    angle = -ArcTangente( pt.y, pt.x );
+    len   = KiROUND( EuclideanNorm( pt ) );
 
     // calculate new corners
     pt.x = 0; pt.y = len / 4;
@@ -195,7 +195,7 @@ MODULE* PCB_EDIT_FRAME::Genere_Self( wxDC* DC )
     Mself.m_End = GetScreen()->GetCrossHairPosition();
 
     wxPoint pt = Mself.m_End - Mself.m_Start;
-    int     min_len = KiROUND( sqrt( (double) pt.x * pt.x + (double) pt.y * pt.y ) );
+    int     min_len = KiROUND( EuclideanNorm( pt ) );
     Mself.lng = min_len;
 
     // Enter the desired length.
@@ -398,8 +398,8 @@ int BuildCornersList_S_Shape( std::vector <wxPoint>& aBuffer,
     #define ADJUST_SIZE 0.988
 
     wxPoint pt       = aEndPoint - aStartPoint;
-    int     angle    = -KiROUND( atan2( (double) pt.y, (double) pt.x ) * 1800.0 / M_PI );
-    int     min_len  = KiROUND( sqrt( (double) pt.x * pt.x + (double) pt.y * pt.y ) );
+    double  angle    = -ArcTangente( pt.y, pt.x );
+    int     min_len  = KiROUND( EuclideanNorm( pt ) );
     int     segm_len = 0;           // length of segments
     int     full_len;               // full len of shape (sum of lenght of all segments + arcs)
 

pcbnew/pcad2kicadpcb_plugin/pcb_arc.cpp

@@ -97,8 +97,7 @@ void PCB_ARC::Parse( XNODE*     aNode,
         int alpha2  = ArcTangente( endY - m_positionY, endX - m_positionX );
         m_angle = alpha1 - alpha2;
 
-        if( m_angle < 0 )
-            m_angle = 3600 + m_angle;
+        NORMALIZE_ANGLE_POS( m_angle );
     }
     else if( aNode->GetName() == wxT( "arc" ) )
     {

pcbnew/plot_brditems_plotter.cpp

@@ -388,15 +388,13 @@ void BRDITEMS_PLOTTER::Plot_1_EdgeModule( EDGE_MODULE* aEdge )
         break;
 
     case S_CIRCLE:
-        radius = (int) hypot( (double) ( end.x - pos.x ),
-                              (double) ( end.y - pos.y ) );
+        radius = KiROUND( GetLineLength( end, pos ) );
         m_plotter->ThickCircle( pos, radius * 2, thickness, GetMode() );
         break;
 
     case S_ARC:
     {
-        radius = (int) hypot( (double) ( end.x - pos.x ),
-                                  (double) ( end.y - pos.y ) );
+        radius = KiROUND( GetLineLength( end, pos ) );
 
         double startAngle  = ArcTangente( end.y - pos.y, end.x - pos.x );
 
@@ -607,14 +605,12 @@ void BRDITEMS_PLOTTER::PlotDrawSegment(  DRAWSEGMENT* aSeg )
     switch( aSeg->GetShape() )
     {
     case S_CIRCLE:
-        radius = (int) hypot( (double) ( end.x - start.x ),
-                              (double) ( end.y - start.y ) );
+        radius = KiROUND( GetLineLength( end, start ) );
         m_plotter->ThickCircle( start, radius * 2, thickness, GetMode() );
         break;
 
     case S_ARC:
-        radius = (int) hypot( (double) ( end.x - start.x ),
-                              (double) ( end.y - start.y ) );
+        radius = KiROUND( GetLineLength( end, start ) );
         StAngle  = ArcTangente( end.y - start.y, end.x - start.x );
         EndAngle = StAngle + aSeg->GetAngle();
         m_plotter->ThickArc( start, -EndAngle, -StAngle, radius, thickness, GetMode() );

pcbnew/scripting/pcbnew_footprint_wizards.cpp

@@ -30,6 +30,7 @@
 #include "pcbnew_footprint_wizards.h"
 #include <python_scripting.h>
 #include <stdio.h>
+#include <macros.h>
 
 
 PYTHON_FOOTPRINT_WIZARD::PYTHON_FOOTPRINT_WIZARD( PyObject* aWizard )

pcbnew/specctra_export.cpp

@@ -769,8 +769,7 @@ IMAGE* SPECCTRA_DB::makeIMAGE( BOARD* aBoard, MODULE* aModule )
                 // lexer/beautifier, and the spec is not clear that this is
                 // required.  Fixed point floats are all that should be needed.
 
-                double radius = hypot( double(graphic->GetStart().x - graphic->GetEnd().x),
-                                       double(graphic->GetStart().y - graphic->GetEnd().y) );
+                double radius = GetLineLength( graphic->GetStart(), graphic->GetEnd() );
 
                 // better if evenly divisible into 360
                 const int DEGREE_INTERVAL = 18;         // 18 means 20 line segments
@@ -779,8 +778,8 @@ IMAGE* SPECCTRA_DB::makeIMAGE( BOARD* aBoard, MODULE* aModule )
                      radians < 2 * M_PI;
                      radians += DEGREE_INTERVAL * M_PI / 180.0 )
                 {
-                    wxPoint point( int( radius * cos( radians ) ),
-                                   int( radius * sin( radians ) ) );
+                    wxPoint point( KiROUND( radius * cos( radians ) ),
+                                   KiROUND( radius * sin( radians ) ) );
 
                     point += graphic->m_Start0;     // an offset
 

pcbnew/zones_convert_brd_items_to_polygons_with_Boost.cpp

@@ -65,8 +65,8 @@
 
 extern void BuildUnconnectedThermalStubsPolygonList( std::vector<CPolyPt>& aCornerBuffer,
                                                      BOARD* aPcb, ZONE_CONTAINER* aZone,
-                                                      double aArcCorrection,
-                                                      int aRoundPadThermalRotation);
+                                                     double aArcCorrection,
+                                                     int aRoundPadThermalRotation);
 
 extern void Test_For_Copper_Island_And_Remove( BOARD*          aPcb,
                                                ZONE_CONTAINER* aZone_container );

polygon/PolyLine.cpp

@@ -1047,8 +1047,8 @@ void CPolyLine::AppendArc( int xi, int yi, int xf, int yf, int xc, int yc, int n
     // generate arc
     for( int ic = 0; ic < num; ic++ )
     {
-        int x   = KiROUND( xc + radius * cos( theta ) );
-        int y   = KiROUND( yc + radius * sin( theta ) );
+        int x   = xc + KiROUND( radius * cos( theta ) );
+        int y   = yc + KiROUND( radius * sin( theta ) );
         AppendCorner( x, y );
         theta += th_d;
     }