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Aurelijus
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Either send the direction the character is facing as well as the character's updated position, or try to infer the direction that character should be shown facing based on the movement.

 

In the later case, for 4 way movement compare the absolute change in the x coord to the absolute change in y ( eg. if (Math.abs(newx - oldx)>Math.abs(newy - oldy) {...}) if the change in x is greater look at the sign of the change in x to determine whether to face left or right, if the y is greater look at the sign of the change in y to determine whether to face up or down.

 

Maybe I've misunderstood your issue though... the above advice seems obvious to me.

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