SimpleDrawingObjects

This is a companion module to SimpleDrawing. Its purpose is to simplify the drawing of basic shapes.

Overview

This module defines some basic shapes (such as Circle) that can be endowed with attributes (such as line thickness and color). The underlying visualization of these objects is provided by Plots.

The general workflow is to (1) create a shape, (2) specify attributes for that shape, and (3) visualize it using the draw function.

For example:

using SimpleDrawingObjects, SimpleDrawing

C = Circle(2-im, 3)         # circle centered at (2,-1) with radius 3
set_linecolor!(C, :red)     
set_linewidth!(C, 2)
set_linestyle!(C, :dash)
newdraw()                   # erases the drawing window (from SimpleDrawing)
draw(C)                     # draws the circle
finish()                    # remove any axes, legends, etc. and set the aspect ratio to 1

Here is the result:

Note that the center of the circle is specified as a complex number. Alternatively, we could have used Circle(2,-1,3). Note that Circle(2,3) is understood as Circle(2+0im,3) and would create a circle centered at (2,0).

List of supported objects

• Line Segments
  • Segment
  • Arrow (a Segment with an arrow at one end)
• Polygons
  • Polygon, FilledPolygon
  • Rectangle, FilledRectangle (for axis-parallel rectangles)
• Circles
  • Circle (empty interior)
  • Disk (filled interior)
  • Arc (arc of a circle)
• Spline Curves
  • OpenCurve
  • ClosedCurve
• Points
  • Point

More information on each of these is provided below.

Common Methods

The following functions apply to the geometric objects defined in this module.

Drawing

The draw function causes the object to be drawn on the screen.

The draw function may be applied to a list (vector) of objects in which case the objects in the list are drawn in the order presented.

Object attributes

Each SimpleDrawingObject has attributes that affect how it is drawn. The following methods are provided for setting object attributes:

• set_linecolor!(o, c) assigns the line color c to o. Default: :black
• set_linewidth!(o, w) sets the line thickness of the lines drawn to be w. Default: 1.
• set_linestyle!(o, style) sets the line style of o to style. Default: solid.
• set_pointsize!(p, sz) pertains only to Points and sets the size of the Point. Default: 2.
• set_pointcolor!(p, col) pertains only to Points and sets the color of the Point. Defaut: :black.

More generally, use set_attribute!(o, attr, val) to set o's attribute attr to the value val. Use with caution.

Use reset_attributes!(o) to return o to its "factory default" attributes.

The function get_attributes(o) returns a view into o's attribute dictionary which can then be directly manipulated (if you dare).

More information on object attributes can be found in the Plots documentation.

Line Segments

Create a new line segment using one of these:

• Segment(a, b) where a and b are complex numbers.

• Segment(x, y, xx, yy) where the arguments are real numbers; this creates a segment from (x,y) to (xx,yy).

• Arrow(a, b) creates a line segment from a to b with an arrowhead at b. This is equivalent to:

  • s = Segment(a, b)
  • set_attribute!(s, :arrow, true)

Polygons

Polygons are created from a list of complex numbers. The following are equivalent

• Polygon([1-2im, 3+im, 4, -1-im])
• Polygon(1-2im, 3+im, 4, -1-im)
• Polygon([1,3,4,-1], [-2,1,0,-1])

The convenience function Rectangle creates an axis-parallel rectangle.

• Rectangle(a, b) creates a rectangle with opposite corners at a and b (as complex numbers).
• Rectangle(x, y, xx, yy) creates a rectangle with opposite corners (x,y) and (xx,yy).

The interior of a Polygon is blank. To create a filled-in polygon, use FilledPolygon (as well as FilledRectangle).

Circles

Circles are created from a center and a radius:

• Circle(z, r) is the circle centered at (complex) z with radius r.
• Circle(x, y, r) is the circle centered at (x,y) with radius r.

Disks

Disks are filled circles. That is, their interior is an opaque color. Like circles, create with one of these:

• Disk(z, r)
• Disk(x, y, r)

The function set_fillcolor! can be used to change the interior color of the disk.

The symbol Disc is a synonmy for Disk.

Arcs

Arcs of circles are created thus with Arc(ctr, rad, t1, t2, t3) where:

• ctr is (complex) the center of the circle,
• rad is the radius of the circle,
• t1 is the starting angle for the arc,
• t2 is an angle for a point inside the arc, and
• t3 is the ending angle for the arc.

We require the intermediante angle t2 because simply specifying the end points of the arc does not determine which piece of the circle we are considering.

The center can also be specified as two real numbers: Arc(x, y, rad, t1, t2, t3).

Spline Curves

The functions ClosedCurve and OpenCurve create curves from a list of points (just like Polygon). The curves are cubic splines through those points. The following are all equivalent:

• ClosedCurve([1-2im, 3+im, 4, -1-im])
• CloseCurve(1-2im, 3+im, 4, -1-im)
• ClosedCuve([1,3,4,-1], [-2,1,0,-1])

Points

Points in the plane are created with Point(z) or Point(x,y). A Point is rendered as a small dot. These two functions determine the appearance of points:

• set_pointsize!(p, sz = 2) sets the size of the point.
• set_pointcolor!(p, col = :black) sets the color of the point.

To illustrate a point whose interior color is different from its boundary, use a Disk.