public bool extendToInfinite( Line2 other )
{
double[] constants = new double[ 2 ];
Vec2 result = new Vec2( 0, 0 );
if( intersectInfiniteInternal( other, ref result, ref constants ) == false )
return false;
if( constants[ 0 ] > 1 )
{
init( v1, result );
return true;
}
if( constants[ 0 ] < 0 )
{
init( result, v2 );
return true;
}
return false;
}
void DrawPickupBobbin( Drawer d, Line2 centreLine, double dStringSpacing, double dWidth )
{
// polepiece positions
Vec2 vStartSpot = ( centreLine.v1 + centreLine.v2 ) * 0.5 - centreLine.direction * ( m_iStringCount - 1 ) * 0.5 * dStringSpacing;
Vec2 vEndSpot = vStartSpot + centreLine.direction * dStringSpacing * ( m_iStringCount - 1 );
Line2 trueCentreLine = new Line2( vStartSpot, vEndSpot );
for( int i = 0; i < m_iStringCount; ++i )
{
Vec2 vSpot = vStartSpot + centreLine.direction * dStringSpacing * i;
d.DrawCircle( "Pickups", vSpot, 2.5 );
}
// outline
Line2 left = trueCentreLine.offset( dWidth / 2, Vec2.left );
Line2 right = trueCentreLine.offset( dWidth / 2, Vec2.right );
//Line2 perpendicular = trueCentreLine.perpendicular( Vec2.right );
// perpendicular.v1 = left.v1;
d.DrawLine( "Pickups", left );
d.DrawLine( "Pickups", right );
double dAngle = 180 * left.direction.angleBetween( Vec2.down ) / Math.PI;
d.DrawArc( "Pickups", trueCentreLine.v1, dWidth / 2, dAngle, 180 + dAngle );
d.DrawArc( "Pickups", trueCentreLine.v2, dWidth / 2, 180 + dAngle, dAngle );
}
void DrawFretMarker( Drawer d, Line2[] fretLines, int iFretNumber, bool bDouble = false )
{
if( fretLines.Length < iFretNumber )
return;
Line2 fret1 = fretLines[ iFretNumber - 1 ];
Line2 fret2 = fretLines[ iFretNumber ];
Line2 newLine = new Line2( ( fret1.v1 + fret2.v1 ) * 0.5, ( fret1.v2 + fret2.v2 ) * 0.5 );
if( m_eMarkerStyle == MarkerStyle.Centred )
{
if( !bDouble )
{
Vec2 vCentre = newLine.origin + newLine.direction * ( newLine.distance / 2 );
d.DrawCircle( "FretMarkers", vCentre, m_dDotRadius );
}
else
{
Vec2 vCentre1 = newLine.origin + newLine.direction * ( newLine.distance * 1 / 4 );
Vec2 vCentre2 = newLine.origin + newLine.direction * ( newLine.distance * 3 / 4 );
d.DrawCircle( "FretMarkers", vCentre1, m_dDotRadius );
d.DrawCircle( "FretMarkers", vCentre2, m_dDotRadius );
}
}
else if( m_eMarkerStyle == MarkerStyle.Edge || m_eMarkerStyle == MarkerStyle.OpposingEdges )
{
if( m_eMarkerStyle == MarkerStyle.OpposingEdges && iFretNumber > 12 )
newLine = new Line2( newLine.v2, newLine.v1 );
d.DrawCircle( "FretMarkers", newLine.origin + newLine.direction * ( m_dDotEdgeSpacing + m_dDotRadius ), m_dDotRadius );
if( bDouble )
{
d.DrawCircle( "FretMarkers", newLine.origin + newLine.direction * ( m_dDotEdgeSpacing*2 + m_dDotRadius*3 ), m_dDotRadius );
}
}
else if( m_eMarkerStyle == MarkerStyle.SquareBlocks )
{
}
}
//---------------------------------------------------------------------
public void RefreshFretCharts( AxeCalc app )
{
m_bassFretChartTable.Clear();
m_bassFretChartTable.Columns.Clear();
m_bassFretChartTable.Rows.Clear();
m_trebleFretChartTable.Clear();
m_trebleFretChartTable.Columns.Clear();
m_trebleFretChartTable.Rows.Clear();
Line2[] fretLines = new Line2[ m_iFretCount + 1 ];
for( int i = 0; i <= m_iFretCount; ++i )
fretLines[ i ] = GetFretLine( i );
if( !MultiScale )
{
m_bassFretChartTable.Columns.Add( "Fret" );
m_bassFretChartTable.Columns.Add( "From nut" );
m_bassFretChartTable.Columns.Add( "Fret to fret" );
for( int i = 1; i <= m_iFretCount; ++i )
{
object[] values = new object[ 3 ];
values[ 0 ] = i;
values[ 1 ] = ( fretLines[ 0 ].v1.x - fretLines[ i ].v1.x ).ToString( "F3" );
values[ 2 ] = ( fretLines[ i - 1 ].v1.x - fretLines[ i ].v1.x ).ToString( "F3" );
if( i == 1 )
values[ 2 ] += " (nut - 1)";
else
values[ 2 ] += String.Format( " ({0} - {1})", i-1, i );
m_bassFretChartTable.Rows.Add( values );
}
}
else
{
m_bassFretChartTable.Columns.Add( "Fret" );
m_bassFretChartTable.Columns.Add( "From reference" );
m_bassFretChartTable.Columns.Add( "Fret to fret" );
m_trebleFretChartTable.Columns.Add( "Fret" );
m_trebleFretChartTable.Columns.Add( "From reference" );
m_trebleFretChartTable.Columns.Add( "Fret to fret" );
// extend all the lines out to the edges of the blank
Line2 blankTopLine = new Line2( 0, app.FretboardBlankWidth / 2, 1000, app.FretboardBlankWidth / 2 );
Line2 blankBottomLine = new Line2( 0, -app.FretboardBlankWidth / 2, 1000, -app.FretboardBlankWidth / 2 );
for( int i = 0; i <= m_iFretCount; ++i )
{
fretLines[ i ].extendToInfinite( blankTopLine );
fretLines[ i ].extendToInfinite( blankBottomLine );
}
double dReferenceX = Math.Max( fretLines[ 0 ].v1.x, fretLines[ 0 ].v2.x );
// bass side
for( int i = 0; i <= m_iFretCount; ++i )
{
object[] values = new object[ 3 ];
values[ 1 ] = ( dReferenceX - fretLines[ i ].v1.x ).ToString( "F3" );
if( i == 0 )
{
values[ 0 ] = "nut";
values[ 2 ] = ( dReferenceX - fretLines[ i ].v1.x ).ToString( "F3" ) + " (ref - nut)";
}
else
{
values[ 0 ] = i;
values[ 2 ] = ( fretLines[ i - 1 ].v1.x - fretLines[ i ].v1.x ).ToString( "F3" );
if( i == 1 )
values[ 2 ] += " (nut - 1)";
else
values[ 2 ] += String.Format( " ({0} - {1})", i - 1, i );
}
m_bassFretChartTable.Rows.Add( values );
}
// treble side
for( int i = 0; i <= m_iFretCount; ++i )
{
object[] values = new object[ 3 ];
values[ 1 ] = ( dReferenceX - fretLines[ i ].v2.x ).ToString( "F3" );
if( i == 0 )
{
values[ 0 ] = "nut";
values[ 2 ] = ( dReferenceX - fretLines[ i ].v2.x ).ToString( "F3" ) + " (ref - nut)";
}
else
{
values[ 0 ] = i;
values[ 2 ] = ( fretLines[ i - 1 ].v2.x - fretLines[ i ].v2.x ).ToString( "F3" );
if( i == 1 )
values[ 2 ] += " (nut - 1)";
else
values[ 2 ] += String.Format( " ({0} - {1})", i - 1, i );
}
m_trebleFretChartTable.Rows.Add( values );
}
}
}
//---------------------------------------------------------------------
public void Draw( Drawer d )
{
d.AddLayer( "Scale", Color.FromArgb( 255, 255, 255, 255 ) );
d.AddLayer( "FretCentres", Color.FromArgb( 255, 0, 192, 192 ) );
d.AddLayer( "Fretwire", Color.FromArgb( 255, 192, 192, 192 ) );
d.AddLayer( "StringCenterLines", Color.FromArgb( 255, 255, 255, 255 ) );
d.AddLayer( "Strings", Color.FromArgb( 255, 255, 255, 255 ) );
d.AddLayer( "FretBoard", Color.FromArgb( 255, 255, 255, 255 ) );
d.AddLayer( "Saddles", Color.FromArgb( 255, 255, 255, 0 ) );
d.AddLayer( "SaddleScrews", Color.FromArgb( 255, 255, 192, 0 ) );
// find out what strings we need
double[] stringWidths = new double[ m_iStringCount ];
double[] stringCompensations = new double[ m_iStringCount ];
for( int i = 0; i < m_iStringCount; ++i )
{
double dResultantTension = 0;
StringInfo s = GetIdealString( i, ref dResultantTension );
stringWidths[ i ] = s.m_dDiameter * 25.4;
stringCompensations[ i ] = GetRequiredCompensation( i, m_dStringHeightAt12th );
}
RectangleF extents = RoughExtents;
double fMaxScale = Math.Max( m_fBassScaleLength, m_fTrebleScaleLength );
d.SetLimits( extents.Left, extents.Top, extents.Right, extents.Bottom );
// draw centreline & lines showing the scale points for the two scales
d.DrawLine( "Scale", -30, 0, fMaxScale + 30, 0 );
// d.DrawLine( "Scale", 0, TotalBridgeStringSpacing / 2 + 30, 0, -TotalBridgeStringSpacing / 2 - 30 );
// if( m_fBassScaleLength != m_fTrebleScaleLength )
// d.DrawLine( "Scale", scaleTrebleOffset, TotalBridgeStringSpacing / 2 + 30, scaleTrebleOffset, -TotalBridgeStringSpacing / 2 - 30 );
// find fret locations
Line2[] fretLines = new Line2[ m_iFretCount + 1 ];
for( int i = 0; i < m_iFretCount + 1; ++i )
{
fretLines[ i ] = GetFretLine( i );
}
/*
# do constant-spacing based string spacing, to take each string's thickness into account
#spacingLeft = TotalNutStringSpacing + stringWidths[ 0 ] / 2 + stringWidths[ stringCount - 1 ] / 2
#for i in range( stringCount ):
# spacingLeft -= stringWidths[ i ]
#spacingBetweenStrings = spacingLeft / ( stringCount - 1.0 )
#positionUpto = 0
#stringPositions = list()
#for i in range( stringCount ):
# stringPositions.append( positionUpto / TotalNutStringSpacing )
# print( "string %i nut position %.3f" % (i, positionUpto ))
# if( i != stringCount - 1 ):
# positionUpto += stringWidths[ i ] / 2
# positionUpto += spacingBetweenStrings
# positionUpto += stringWidths[ i + 1 ] / 2
*/
// properly figure out the fretboard outlines, taking into account zero fret, etc etc etc...
Line2 zeroFretLine = new Line2( fretLines[ 0 ] );
Line2 nutLineLeft;
if( !m_bZeroFret )
nutLineLeft = zeroFretLine;
else
nutLineLeft = zeroFretLine.offset( m_dZeroFretNutOffset, Vec2.right );
Line2 nutLineRight = nutLineLeft.offset( m_dNutWidth, Vec2.right );
Line2 fbEndLine = new Line2( fretLines[ m_iFretCount ] );
Line2 fret12Line = fretLines[ 12 ];
Vec2 bassLine0 = new Vec2( 0, 0 );
Vec2 bassLine12th = new Vec2( 0, 0 );
zeroFretLine.intersectInfinite( new Line2( 0, FretboardWidthAtNut / 2, 100, FretboardWidthAtNut / 2 ), ref bassLine0 );
fretLines[ 12 ].intersectInfinite( new Line2( 0, FretboardWidthAt12th / 2, 100, FretboardWidthAt12th / 2 ), ref bassLine12th );
Line2 fbBassLine = new Line2( bassLine0, bassLine12th ); //new Line2( //stringTopEdges[ 0 ].offset( edgeOfFretboardSpacing, Vec2.up );
Line2 fbTrebleLine = fbBassLine.mirror( new Line2( 0, 0, 1, 0 ) ); //stringBottomEdges[ m_iStringCount - 1 ].offset( edgeOfFretboardSpacing, Vec2.down );
fbEndLine.v1.x -= 8;
fbEndLine.v2.x -= 8;
nutLineLeft.trimToInfinite( fbBassLine, Vec2.down );
nutLineLeft.trimToInfinite( fbTrebleLine, Vec2.up );
nutLineRight.trimToInfinite( fbBassLine, Vec2.down );
nutLineRight.trimToInfinite( fbTrebleLine, Vec2.up );
fbEndLine.trimToInfinite( fbBassLine, Vec2.down );
fbEndLine.trimToInfinite( fbTrebleLine, Vec2.up );
fbBassLine.trimToInfinite( fbEndLine, Vec2.right );
fbBassLine.trimToInfinite( nutLineRight, Vec2.left );
fbTrebleLine.trimToInfinite( fbEndLine, Vec2.right );
fbTrebleLine.trimToInfinite( nutLineRight, Vec2.left );
// draw fretboard
d.DrawLine( "FretBoard", nutLineLeft );
d.DrawLine( "FretBoard", nutLineRight );
d.DrawLine( "FretBoard", fbEndLine );
d.DrawLine( "FretBoard", fbBassLine );
d.DrawLine( "FretBoard", fbEndLine );
d.DrawLine( "FretBoard", fbTrebleLine );
// draw frets
for( int i = 0; i <= m_iFretCount; ++i )
{
if( i == 0 && !m_bZeroFret )
continue;
Line2 fret = fretLines[ i ];
fret.extendToInfinite( fbBassLine );
fret.extendToInfinite( fbTrebleLine );
d.DrawLine( "FretCentres", fret );
// fretwire
Line2 fretRight = fret.offset( m_dFretwireWidth / 2, Vec2.right );
fretRight.trimToInfinite( fbBassLine, Vec2.down );
fretRight.trimToInfinite( fbTrebleLine, Vec2.up );
d.DrawLine( "Fretwire", fretRight );
Line2 fretLeft = fret.offset( m_dFretwireWidth / 2, Vec2.left );
fretLeft.trimToInfinite( fbBassLine, Vec2.down );
fretLeft.trimToInfinite( fbTrebleLine, Vec2.up );
d.DrawLine( "Fretwire", fretLeft );
// put a little ellipse at the end to make it purty
//d.DrawEllipseArc( "Fretwire", fretLeft.v2, fretRight.v2, 0.5, fretLeft.v2, fretRight.v2 );
}
// draw strings
Line2[] stringLines = new Line2[ m_iStringCount ];
Vec2[] saddleSpots = new Vec2[ m_iStringCount ];
double dMaxSaddleX = -10000000.0f;
double dMinSaddleX = 10000000.0f;
for( int i = 0; i < m_iStringCount; ++i )
{
stringLines[ i ] = GetStringLine( i );
stringLines[ i ].trimToInfinite( nutLineRight, Vec2.left );
// calculate the estimated string intonation point
saddleSpots[ i ] = stringLines[ i ].v1 + stringLines[ i ].direction * -stringCompensations[ i ];
saddleSpots[ i ].y = stringLines[ i ].v1.y;
dMaxSaddleX = Math.Max( dMaxSaddleX, saddleSpots[ i ].x );
dMinSaddleX = Math.Min( dMinSaddleX, saddleSpots[ i ].x );
// extend the string out to the saddle
Line2 saddleLine = new Line2( saddleSpots[ i ].x, saddleSpots[ i ].y + 5.0f, saddleSpots[ i ].x, saddleSpots[ i ].y - 5.0f );
stringLines[ i ].extendToInfinite( saddleLine );
Line2 topEdge = stringLines[ i ].offset( stringWidths[ i ] / 2.0, Vec2.up );
Line2 bottomEdge = stringLines[ i ].offset( stringWidths[ i ] / 2.0, Vec2.down );
topEdge.trimToInfinite( nutLineRight, Vec2.left );
bottomEdge.trimToInfinite( nutLineRight, Vec2.left );
d.DrawLine( "StringCenterLines", stringLines[ i ] );
d.DrawLine( "Strings", topEdge );
d.DrawLine( "Strings", bottomEdge );
//d.DrawLine( "Saddles", saddleLine );
}
// figure out where the saddle screw should go, based on its max adjustment
//double dMaxSaddleAdjustment = 8.5;
//double dAdjustmentRangeNeeded = dMaxSaddleX - dMinSaddleX;
// DrawSaddleScrew will draw at the centre of the adjustment, so figure out an X that keeps everything close to the middle range
// draw saddles & saddle screws
for( int i = 0; i < m_iStringCount; ++i )
{
DrawSaddle( d, saddleSpots[ i ] );
// draw min & max compensation points
Vec2 minSaddleSpot = GetStringLine( i ).v1 + GetStringLine( i ).direction * -GetRequiredCompensation( i, m_dMinStringHeightAt12th );
minSaddleSpot.y = saddleSpots[ i ].y;
Vec2 maxSaddleSpot = GetStringLine( i ).v1 + GetStringLine( i ).direction * -GetRequiredCompensation( i, m_dMaxStringHeightAt12th );
maxSaddleSpot.y = saddleSpots[ i ].y;
//DrawSaddle( d, minSaddleSpot );
//DrawSaddle( d, maxSaddleSpot );
if( m_fBassScaleLength == m_fTrebleScaleLength )
{
Vec2 screwSpot = new Vec2( saddleSpots[ i ].x, saddleSpots[ i ].y );
screwSpot.x = ( dMinSaddleX + dMaxSaddleX ) * 0.5;
DrawSaddleScrew( d, screwSpot );
}
else
{
DrawSaddleScrew( d, saddleSpots[ i ] );
}
}
d.AddLayer( "FretMarkers", Color.FromArgb( 255, 255, 255, 255 ) );
//d.DrawCircle( "FretMarkers", new Vec2( 0, 0 ), 4 );
DrawFretMarker( d, fretLines, 3 );
DrawFretMarker( d, fretLines, 5 );
DrawFretMarker( d, fretLines, 7 );
DrawFretMarker( d, fretLines, 9 );
DrawFretMarker( d, fretLines, 12, true );
DrawFretMarker( d, fretLines, 15 );
DrawFretMarker( d, fretLines, 17 );
DrawFretMarker( d, fretLines, 19 );
DrawFretMarker( d, fretLines, 21 );
DrawFretMarker( d, fretLines, 24, true );
// draw pickup positions
DrawPickup( d, m_bridgePickup );
DrawPickup( d, m_middlePickup );
DrawPickup( d, m_neckPickup );
/* # draw some comparison pickup positions
fStratNeckPos = 6.375 / 25.5
fStratMiddlePos = 3.875 / 25.5
fStratBridgePos = 1.625 / 25.5
fStratBridgeBassPos = 1.815 / 25.5
fStratBridgeTreblePos = 1.435 / 25.5
fJBNeckPos = 6 / 34.0
fJBBridgePos = 2.13 / 34.0
fPRSNeckPos = 148 / 635.0
fPRSBridgePos = 43 / 635.0
fNewNeckPos1 = interpolate( 1/3.0, fJBNeckPos, fPRSNeckPos )
fNewNeckPos2 = interpolate( 2/3.0, fJBNeckPos, fPRSNeckPos )
writeScalePos( f, fStratNeckPos, "StratPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fStratMiddlePos, "StratPickups", bridgeStringLine, nutStringLine )
writeAngledScalePos( f, fStratBridgeBassPos, fStratBridgeTreblePos, "StratPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fJBNeckPos, "JBPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fJBBridgePos, "JBPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fPRSNeckPos, "PRSPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fPRSBridgePos, "PRSPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fNewNeckPos1, "TristanPickups", bridgeStringLine, nutStringLine )
writeScalePos( f, fNewNeckPos2, "TristanPickups", bridgeStringLine, nutStringLine )
*/
}
//def __repr__( self ):
// return "v1" + repr( v1 ) + " v2" + repr( v2 ) + " origin" + repr( origin ) + " direction" + repr( direction ) + " distance %.5f" % distance
public bool intersectInfiniteInternal( Line2 other, ref Vec2 result, ref double[] constants )
{
double x1 = v1.x;
double y1 = v1.y;
double x2 = v2.x;
double y2 = v2.y;
double x3 = other.v1.x;
double y3 = other.v1.y;
double x4 = other.v2.x;
double y4 = other.v2.y;
double determinant = ( y4 - y3 ) * ( x2 - x1 ) - ( x4 - x3 ) * ( y2 - y1 );
if( determinant == 0 )
return false;
constants[ 0 ] = ( ( x4 - x3 ) * ( y1 - y3 ) - ( y4 - y3 ) * ( x1 - x3 ) ) / determinant;
constants[ 1 ] = ( ( x2 - x1 ) * ( y1 - y3 ) - ( y2 - y1 ) * ( x1 - x3 ) ) / determinant;
result.x = x1 + constants[ 0 ] * ( x2 - x1 );
result.y = y1 + constants[ 0 ] * ( y2 - y1 );
return true;
}
public bool intersectInfinite( Line2 other, ref Vec2 result )
{
double[] constants = new double[ 2 ];
return intersectInfiniteInternal( other, ref result, ref constants );
}
public Line2( Line2 other )
: this(other.v1, other.v2)
{
}
public bool trimToInfinite( Line2 other, Vec2 sideToKeep )
{
// trim to or extend to another
double[] constants = new double[ 2 ];
Vec2 intersectionPoint = new Vec2( 0, 0 );
if( intersectInfiniteInternal( other, ref intersectionPoint, ref constants ) == false )
return false;
// extending to another
if( constants[ 0 ] > 1 )
{
init( v1, intersectionPoint );
return true;
}
if( constants[ 0 ] < 0 )
{
init( intersectionPoint, v2 );
return true;
}
// trimming to another
//print( "trimToInfinite gave constant of %.3f" % constants[ 0 ])
Vec2 deltaToV1 = v1 - intersectionPoint;
Vec2 deltaToV2 = v2 - intersectionPoint;
Vec2 deltaToSide = intersectionPoint;
if( deltaToV1.dot( sideToKeep ) > 0 )
{
init( v1, intersectionPoint );
//print( " trimmed back in the direction of v1" )
return true;
}
if( deltaToV2.dot( sideToKeep ) > 0 )
{
init( intersectionPoint, v2 );
//print( " trimmed back in the direction of v2" )
return true;
}
return false;
}
public Line2 mirror( Line2 mirrorLine )
{
// project each point of the line onto the mirrorline, use that as a way to construct new points
Vec2 newv1 = mirrorLine.projection( v1 )*2 - v1;
Vec2 newv2 = mirrorLine.projection( v2 )*2 - v2;
return new Line2( newv1, newv2 );
}
public bool intersectSegment( Line2 other, ref Vec2 result )
{
double[] constants = new double[ 2 ];
if( intersectInfiniteInternal( other, ref result, ref constants ) == false )
return false;
if( constants[ 0 ] < 0 || constants[ 0 ] > 1 || constants[ 1 ] < 0 || constants[ 1 ] > 1 )
return false;
return true;
}
public void DrawLine( string strLayer, Line2 l )
{
DrawLine( strLayer, l.v1.x, l.v1.y, l.v2.x, l.v2.y );
}