How do I check if a mouse click is inside a rotated text on the HTML5 Canvas in JavaScript?

Question

I have drawn a text on the canvas in coordinates X, Y and saved them. I have a simple method that checks if a mouse click has happened inside the text boundaries. The problem is

Answer 1

Create a rect object which is rotated at the same angle as the text, but not drawn.

Then use:

// set transforms here.
// add rect representing text region:
ctx.beginPath();
ctx.rect(x, y, w, h);  // region for text
if (ctx.isPointInPath(mx, my)) {
    // we clicked inside the region
}
ctx.setTransform(1,0,0,1,0,0);  // reset transforms after test

Demo:

var canvas = document.querySelector("canvas"),
    ctx = canvas.getContext("2d"),
    txt = "ROTATED TEXT", tw, region;

// transform and draw some rotated text:
ctx.textAlign = "center";
ctx.textBaseline = "middle";
ctx.font = "32px sans-serif";
ctx.translate(150, 75);
ctx.rotate(0.33);
ctx.translate(-150, -75);
ctx.fillText(txt, 150, 75);
tw = ctx.measureText(txt).width;

// define a region for text:
region = {x: 150 - tw*0.5, y: 75 - 16, w: tw, h:32}; // approx. text region

// function to check if mouse x/y is inside (transformed) region
function isInText(region, x, y) {
  ctx.beginPath();
  ctx.rect(region.x, region.y, region.w, region.h);
  return ctx.isPointInPath(x, y);
}

// test for demo
canvas.onmousemove = function(e) {
  var rect = canvas.getBoundingClientRect(),
      x = e.clientX - rect.left,
      y = e.clientY - rect.top;
  
  // just to visualize:
  ctx.clearRect(0,0,300,150);
  ctx.fillStyle = isInText(region, x, y) ? "red" : "black";
  ctx.fillText(txt, 150, 75);
};