Rotate $01.$jpg by $45$ degrees using forward warping, and save asrotate$\_0.$jpg

Please do this in Matlab using this Pseudocode. AND PLEASE DO NOT USE IN$-$BUILT FUNCTIONS LIKE "imrotate$()"$

for each pixel $($y$1,$ x$1)$ in I$1$:

$($y$2,$ x$2)=$ Rotate$($y$1,$ x$1)$

if $($y$2,$ x$2)$ is inside I$2$:

I$2($y$2,$ x$2)=$ I$1($y$1,$ x$1)$

end

end