Bariz - EGFD to ASY

EGFD to ASY EGFD to ASY converter. After obtaining the asymptote code, put it inside [asy] and [/asy] tags and render on AoPS Texer. An example is provided. To learn more about EGFD, check here.

let A B C be triangle
I is incenter of A B C
omega is incircle of A B C

D is tangent point of line B C and omega
E is tangent point of line C A and omega
F is tangent point of line A B and omega

R is the intersection of line through D perpendicular to line E F and omega other than D
P is the intersection of line A R and omega other than R
Q is the intersection of circumcircle of P C E and circumcircle of P B F other than P