Report

Report/uml/transform-compose-algorithm.puml

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+@startuml
+title Алгоритм композиции трансформаций (parent * local)
+
+start
+:Input parent transform:\nP(tx,ty,angle,sx,sy,opacity);
+:Input local transform:\nL(tx,ty,angle,sx,sy,opacity);
+
+:Scale local position by parent scale:\nlx' = L.tx * P.sx\nly' = L.ty * P.sy;
+:Rotate by parent angle:\nrx = cos(P.a)*lx' - sin(P.a)*ly'\nry = sin(P.a)*lx' + cos(P.a)*ly';
+:Translate by parent position:\nW.tx = P.tx + rx\nW.ty = P.ty + ry;
+
+:Compose angle:\nW.angle = P.angle + L.angle;
+:Compose scale:\nW.sx = P.sx * L.sx\nW.sy = P.sy * L.sy;
+:Compose opacity:\nW.opacity = P.opacity * L.opacity;
+
+:Return world transform W;
+stop
+
+@enduml