QPainter drawArc question

[kloopa]

Hi. I'm trying to use QPainter drawArc(const QRectF & rectangle, int startAngle, int spanAngle) for arc drawing.
And have a problem with it.
I have a coordinates of 3 arc points A, B, C.
A - arc start point
B - arc end point
C - arc center with known radius (10).

Question. How to calculate rectangle, startAngle and spanAngle for this arc?

question.jpg

[ChrisW67]

The rectangle is the rectangle that would contain the entire circle if drawn completely, and you get the angles with basic trigonometry:

QPointF const A(6.31, 5.773);
    QPointF const B(20.53, 19.836);
    QPointF const C(13.42, 12.805);
    double  const radius(10.0);
 
    QRectF const r(C.x() - radius, C.y() - radius, radius * 2, radius * 2);
    double const startAngle = 16 * atan2(A.y() - C.y(), A.x() - C.x()) * 180.0 / M_PI;
    double const endAngle   = 16 * atan2(B.y() - C.y(), B.x() - C.x()) * 180.0 / M_PI;
    double const spanAngle = endAngle - startAngle;
 
    QImage img(500, 500, QImage::Format_RGB32);
    img.fill(Qt::white);
    QPainter p(&img);
    p.scale(10.0, 10.0);
    p.setPen(Qt::red);
    p.drawRect(r);
    p.setPen(Qt::black);
    p.drawArc(r, startAngle, spanAngle);
    p.end();
    img.save("test.png");

QPointF const A(6.31, 5.773);
    QPointF const B(20.53, 19.836);
    QPointF const C(13.42, 12.805);
    double  const radius(10.0);

    QRectF const r(C.x() - radius, C.y() - radius, radius * 2, radius * 2);
    double const startAngle = 16 * atan2(A.y() - C.y(), A.x() - C.x()) * 180.0 / M_PI;
    double const endAngle   = 16 * atan2(B.y() - C.y(), B.x() - C.x()) * 180.0 / M_PI;
    double const spanAngle = endAngle - startAngle;

    QImage img(500, 500, QImage::Format_RGB32);
    img.fill(Qt::white);
    QPainter p(&img);
    p.scale(10.0, 10.0);
    p.setPen(Qt::red);
    p.drawRect(r);
    p.setPen(Qt::black);
    p.drawArc(r, startAngle, spanAngle);
    p.end();
    img.save("test.png");

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You might need to tweak this for some cases

[kloopa]

Thank you for reply! It works.
How to draw clockwise and counter-clockwise? (using drawArc and arcTo)
How to calculate sweepLength for QPainterPath.arcTo?

[ChrisW67]

Experiment with swapping A and B and changing the sign of the spanAngle.
If you want to draw the shortest arc between two points and spanAngle is greater than 180 degrees (+ve or -ve) then you need to add/subtract 360 degrees to the spanAngle (changes the sign and hence drawing direction).

The angle for arcTo is calculated the same way without the 16 multiplier used by QPainter.

[kloopa]

ChrisW67, Can you recommend me how to draw all known arcs using your code? Arcs may be more than (+-)180, full circle(360). I tried top play with code myself many times, but without result.

For example, i'm reading file with coordinates:

START: X143.178 Y82.461
LINE-TO: X13.178 Y82.461
ARC-TO[Clockwise]: X2.278 Y93.361 cX13.178 cY93.361
LINE-TO: X2.278 Y151.361
ARC-TO[Clockwise]: X13.178 Y162.261 cX13.178 cY151.361
LINE-TO: X143.178 Y162.261
ARC-TO[Clockwise]: X154.078 Y151.361 cX143.178 cY151.361

Where cX, cY arc center coordinates. Arcs may drawing counter clockwise.

I want to see like this:

1.png

Now i see:

2.png

[ChrisW67]

Everything you need is in my earlier post http://www.qtcentre.org/threads/6470...095#post286095
Read the docs for QPainter::drawArc() to understand how span angle determines the drawing direction.

[kloopa]

For clockwise / counter-clockwise drawing question solved.
But arcs still incorrect. I think problem when calculating angles. Because angles may be + or -.
My program reading coordinates form TXT file (file generated by other software from DXF format, where 0 degree at 12 o'clock).

Part of my code (Python3):

def arcAngles(self, a, b, c):
        startAngle = 16*atan2(a.y() - c.y(), a.x() - c.x())*180 / pi
        endAngle = 16*atan2(b.y() - c.y(), b.x() - c.x())*180 / pi
 
        spanAngle = abs(endAngle) - abs(startAngle)
 
        #Clocksiwe
        if self.direction == -1:
            if spanAngle > 0:
                spanAngle = -spanAngle
 
        print("START: " + str(startAngle / 16) + "\nEND: " + str(endAngle / 16) + "\nSPAN: " + str(spanAngle / 16))
        angles = {'start': startAngle, 'end': endAngle, 'span': spanAngle}
 
        return angles

def arcAngles(self, a, b, c):
        startAngle = 16*atan2(a.y() - c.y(), a.x() - c.x())*180 / pi
        endAngle = 16*atan2(b.y() - c.y(), b.x() - c.x())*180 / pi
        
        spanAngle = abs(endAngle) - abs(startAngle)

        #Clocksiwe
        if self.direction == -1:
            if spanAngle > 0:
                spanAngle = -spanAngle
                
        print("START: " + str(startAngle / 16) + "\nEND: " + str(endAngle / 16) + "\nSPAN: " + str(spanAngle / 16))
        angles = {'start': startAngle, 'end': endAngle, 'span': spanAngle}

        return angles

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Result:

=====1st Arc====
START: -90.0
END: 180.0
SPAN: -90.0
LastPoint: PyQt5.QtCore.QPointF(13.178, 82.461)
EndPoint: PyQt5.QtCore.QPointF(2.278, 93.361)

=====2nd Arc====
START: 180.0
END: 90.0
SPAN: -90.0
LastPoint: PyQt5.QtCore.QPointF(2.278, 151.361)
EndPoint: PyQt5.QtCore.QPointF(13.178, 162.261)

=====3rd Arc====
START: 90.0
END: 0.0
SPAN: -90.0
LastPoint: PyQt5.QtCore.QPointF(143.178, 162.261)
EndPoint: PyQt5.QtCore.QPointF(154.078, 151.361)

Drawing result:
1.png

I tried to solve this by manipulation with offset (90 degree), but still not solved.

Substracting offset from angles:

offset = 90*16
 
        if startAngle < 0:
            startAngle -= -offset
        else:
            startAngle -= offset
 
        if endAngle < 0:
            endAngle -= -offset
        else:
            endAngle -= offset

offset = 90*16

        if startAngle < 0:
            startAngle -= -offset
        else:
            startAngle -= offset
            
        if endAngle < 0:
            endAngle -= -offset
        else:
            endAngle -= offset

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When substract offset from angles i see:

11.png

Add offset to angles:

offset = 90*16
 
        if startAngle < 0:
            startAngle += -offset
        else:
            startAngle += offset
 
        if endAngle < 0:
            endAngle += -offset
        else:
            endAngle += offset

offset = 90*16

        if startAngle < 0:
            startAngle += -offset
        else:
            startAngle += offset
            
        if endAngle < 0:
            endAngle += -offset
        else:
            endAngle += offset

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When adding offset to angles i see:

22.png