context.Scale() with non-aspect ratio preserving parameters screws effective lineWith

Posted by rrenaud on Stack Overflow See other posts from Stack Overflow or by rrenaud
Published on 2010-03-22T03:24:30Z Indexed on 2010/03/22 3:31 UTC
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I am trying to apply some natural transformations whereby the x axis is remapped to some very small domain, like from 0 to 1, whereas y is remapped to some small, but substantially larger domain, like 0 to 30. This way, drawing code can be nice and clean and only care about the model space. However, if I apply a scale, then lines are also scaled, which means that horizontal lines become extremely fat relative to vertical ones. Here is some sample code. When natural_height is much less than natural_height, the picture doesn't look as intended.

I want the picture to look like this, which is what happens with a scale that preserves aspect ratio. rftgstats.c om/canvas_good.png

However, with a non-aspect ratio preserving scale, the results look like this. rftgstats.c om/canvas_bad.png

    <html><head><title>Busted example</title></head>
   <body>
     <canvas id=example height=300 width=300>
 <script>
   var canvas = document.getElementById('example');
   var ctx = canvas.getContext('2d');
   var natural_width = 10;
   var natural_height = 50;
   ctx.scale(canvas.width / natural_width, canvas.height / natural_height);

   var numLines = 20;
   ctx.beginPath();
   for (var i = 0; i < numLines; ++i) {
     ctx.moveTo(natural_width / 2, natural_height / 2);
     var angle = 2 * Math.PI * i / numLines;
        // yay for screen size independent draw calls.
     ctx.lineTo(natural_width / 2 + natural_width * Math.cos(angle),
         natural_height / 2 + natural_height * Math.sin(angle));
   }
   ctx.stroke();
   ctx.closePath();
 </script>
   </body>
 </html>

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