Re: PATCH: cairo-www: add ellipses cookbook example

On Wed, Dec 23, 2015 at 04:12:24PM +1300, Lawrence D'Oliveiro wrote:

> From ef369fe63ffaf504ca66496047e667e39e17bc2c Mon Sep 17 00:00:00 2001
> From: Lawrence D'Oliveiro <[email protected]>
> Date: Wed, 23 Dec 2015 03:11:00 +0000
> Subject: [PATCH] add ellipses cookbook example

Thanks, pushed:
To git+ssh://cairographics.org/git/cairo-www
   3a0314a..32153d8  master -> master
 
> ---
>  src/cookbook.mdwn                       |   1 +
>  src/cookbook/ellipses.mdwn              | 114 ++++++++++++++++++++++++++++++++
>  src/cookbook/ellipses/ellipse_right.png | Bin 0 -> 5649 bytes
>  src/cookbook/ellipses/ellipse_wrong.png | Bin 0 -> 5685 bytes
>  4 files changed, 115 insertions(+)
>  create mode 100644 src/cookbook/ellipses.mdwn
>  create mode 100644 src/cookbook/ellipses/ellipse_right.png
>  create mode 100644 src/cookbook/ellipses/ellipse_wrong.png
> 
> diff --git a/src/cookbook.mdwn b/src/cookbook.mdwn
> index f164bca..9e5471b 100644
> --- a/src/cookbook.mdwn
> +++ b/src/cookbook.mdwn
> @@ -4,6 +4,7 @@
>  
>  + General Drawing
>      * [[Rounded_rectangles|roundedrectangles]]
> +    * [[Ellipses With Uniform Stroke Width|ellipses]]
>      * [[A_description_of_compositing_operators_in_Cairo|operators]]
>  
>  + Matrix Transformations
> diff --git a/src/cookbook/ellipses.mdwn b/src/cookbook/ellipses.mdwn
> new file mode 100644
> index 0000000..8779e47
> --- /dev/null
> +++ b/src/cookbook/ellipses.mdwn
> @@ -0,0 +1,114 @@
> +[[!meta title="Ellipses With Uniform Stroke Width"]]
> +
> +Cairo has built-in calls for drawing arcs of circles. The following discusses how to use them
> +to draw ellipses.
> +
> +##Common Setup
> +
> +The following examples will be drawing an ellipse within an image area defined as follows:
> +
> +    const int img_width = 256;
> +    const int img_height = 256;
> +    cairo_surface_t * const pix = cairo_image_surface_create
> +      (
> +        /*format =*/ CAIRO_FORMAT_RGB24,
> +        /*width =*/ img_width,
> +        /*height =*/ img_height
> +      );
> +    cairo_t * const cr = cairo_create(pix);
> +
> +The ellipse will be drawn as a circle centred within the drawing area. Before the circle
> +is drawn, the following scaling is applied:
> +
> +    cairo_translate(cr, img_width / 2.0, img_height / 2.0);
> +    cairo_scale(cr, 0.5, 1);
> +    cairo_translate(cr, - img_width / 2.0, - img_height / 2.0);
> +
> +This shrinks subsequent drawing operations (including path
> +construction) horizontally by a factor of 0.5 [about the
> +image centre](../transform_about_point), to turn the circle into an
> +ellipse. The ellipse itself is then constructed very simply:
> +
> +    cairo_arc
> +      (
> +        /*cr =*/ cr,
> +        /*xc =*/ img_width / 2.0,
> +        /*yc =*/ img_height / 2.0,
> +        /*radius =*/ img_width / 3.0,
> +        /*angle1 =*/ 0,
> +        /*angle2 =*/ 2 * M_PI
> +      );
> +
> +The following examples use a thick line width (20 units) to make the problem
> +(and its solution) clearer.
> +
> +##The Wrong Way
> +
> +The obvious way to turn a circle into an ellipse is to apply non-uniform scaling to it.
> +This works, but is prone to an interesting side-effect:
> +
> +    cairo_set_source_rgb(cr, 1, 1, 1);
> +    cairo_paint(cr);
> +    cairo_set_source_rgb(cr, 0, 0, 0);
> +    cairo_translate(cr, img_width / 2.0, img_height / 2.0);
> +    cairo_scale(cr, 0.5, 1);
> +    cairo_translate(cr, - img_width / 2.0, - img_height / 2.0);
> +    cairo_new_path(cr);
> +    cairo_arc
> +      (
> +        /*cr =*/ cr,
> +        /*xc =*/ img_width / 2.0,
> +        /*yc =*/ img_height / 2.0,
> +        /*radius =*/ img_width / 3.0,
> +        /*angle1 =*/ 0,
> +        /*angle2 =*/ 2 * M_PI
> +      );
> +    cairo_set_line_width(cr, 20.0);
> +    cairo_stroke(cr);
> +
> +Example output:
> +
> +[[!img "ellipse_wrong.png" link="no"]]
> +
> +The problem is that the CTM also affects the `cairo_stroke` call. Thus, where the
> +curve is narrow, the stroke gets narrow as well. This is probably not what you want.
> +
> +##The Right Way
> +
> +The answer is to apply the non-uniform scaling *only during the path construction*,
> +and remove it before calling `cairo_stroke`. Here the CTM is saved before path
> +construction, and restored after it:
> +
> +    cairo_set_source_rgb(cr, 1, 1, 1);
> +    cairo_paint(cr);
> +    cairo_set_source_rgb(cr, 0, 0, 0);
> +      {
> +        cairo_matrix_t save_matrix;
> +        cairo_get_matrix(cr, &save_matrix);
> +        cairo_translate(cr, img_width / 2.0, img_height / 2.0);
> +        cairo_scale(cr, 0.5, 1);
> +        cairo_translate(cr, - img_width / 2.0, - img_height / 2.0);
> +        cairo_new_path(cr);
> +        cairo_arc
> +          (
> +            /*cr =*/ cr,
> +            /*xc =*/ img_width / 2.0,
> +            /*yc =*/ img_height / 2.0,
> +            /*radius =*/ img_width / 3.0,
> +            /*angle1 =*/ 0,
> +            /*angle2 =*/ 2 * M_PI
> +          );
> +        cairo_set_matrix(cr, &save_matrix);
> +      }
> +    cairo_set_line_width(cr, 20.0);
> +    cairo_stroke(cr);
> +
> +Example output:
> +
> +[[!img "ellipse_right.png" link="no"]]
> +
> +Much better, don’t you think?
> +
> +Alternatively you may call `cairo_save` to save the entire graphics state before
> +the path construction, and `cairo_restore` afterwards, before the `cairo_stroke`
> +call. Cairo’s saved graphics state includes the CTM, but not the current path itself.
> diff --git a/src/cookbook/ellipses/ellipse_right.png b/src/cookbook/ellipses/ellipse_right.png
> new file mode 100644
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> diff --git a/src/cookbook/ellipses/ellipse_wrong.png b/src/cookbook/ellipses/ellipse_wrong.png
> new file mode 100644
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> 
> literal 0
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> 
> -- 
> 2.6.0
> 

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