From: Shane Stephens <shans@google.com>

Date: Wed, 16 Jul 2014 14:46:23 +1000

Message-ID: <CAGTfzwTyRB6_625ktnFFT9fhaazaDbHPZ_xnxG_LQJ6MqMFuwQ@mail.gmail.com>

To: Dean Jackson <dino@apple.com>

Cc: "Tab Atkins Jr." <jackalmage@gmail.com>, Dirk Schulze <dschulze@adobe.com>, www-style list <www-style@w3.org>

Date: Wed, 16 Jul 2014 14:46:23 +1000

Message-ID: <CAGTfzwTyRB6_625ktnFFT9fhaazaDbHPZ_xnxG_LQJ6MqMFuwQ@mail.gmail.com>

To: Dean Jackson <dino@apple.com>

Cc: "Tab Atkins Jr." <jackalmage@gmail.com>, Dirk Schulze <dschulze@adobe.com>, www-style list <www-style@w3.org>

> > I think this highlights part of our disagreement!! Mathematically, these > are never independent of each other: the order always matters if translate > is involved (assuming there is more than one of the functions :) > Mathematically, each transform component can be thought of as a function that maps position to transformed position. The order we're defining has the property that these functions remain faithful in the global coordinate space (as well as the local coordinate space, where they're always faithful). For example, a translation in X by 100px can be thought of as taking (x, y) to (x + 100, y). A rotation by 45 degrees can be thought of as taking (x, y) to (0.7x + 0.7y, 0.7x - 0.7y). In an order that requires translation first, then these (linear, abelian) operations can apply either order to get the correct result. They are order independent. (x, y) -> (x + 100, y) -> (0.7x + 70, 0.7y) In an order that puts rotation first, these operations will never give the correct result. > [I exaggerate slightly: it also doesn't matter in some edge cases such as > an identity like rotate(0). But if translate is in there, they are > dependent. ] > > You absolutely need to tell the treasure hunter whether to walk 20 paces > then turn left, or turn left then walk 20 paces. > Nobody is disagreeing with you - there are situations that require order dependencies to understand them. On the other hand, if I were to say that I wanted this div at (0, 0) to be at location (200, 500) on the screen, at an angle of 10 degrees, and scaled up by 1.1 in x and 1.2 in y, then I want to be able to specify that as translate: 200px 500px rotate: 10deg scale: 1.1 1.2 Note that these are faithful to the requested position, shape and angle! I *don't* want to have to muck around with all 6 possible orderings of these three components until I find the one that has this property. Cheers, -Shane > > Dean > > > > > >Received on Wednesday, 16 July 2014 04:46:50 UTC

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