You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: K3StressDistro.m
    path of file: ./repos/CutAndDisplace/2dCode/StressIntensity2d
    
    the code of the file until where you have to start completion: function [Sxz,Syz] = K3StressDistro(K3, X,Y, TipDip)
%K1StressDistro Distribution of stresses around the tip of a crack due to
%stress intensity K1
%
% usage #1:
% [Sxx,Syy,Sxy] = K2StressDistro(K2, X,Y, TipDip)
%
% Arguments: (input)
%  K1   - Value of K1 at the cracks tip (just a float not a matrix)
%
%  X    - X distance of point from the tip of the crack (can be a matrix, vector or float)
%
%  Y    - Y distance from the tip of the crack (can be a matrix, vector or float)
%
% TipDip - Dip angle of the tip in degrees
%
% Arguments: (output)
% Sxz,Syz - Stress tensors at the points around the crack, back in the
% global coordinate system. These are the out of plane components.
%
% Example usage:
% %Reproduce P&F Fig9.31 box c)

    
function [Sxz,Syz] = K3StressDistro(K3, X,Y, TipDip)
%K1StressDistro Distribution of stresses around the tip of a crack due to
%stress intensity K1
%
% usage #1:
% [Sxx,Syy,Sxy] = K2StressDistro(K2, X,Y, TipDip)
%
% Arguments: (input)
%  K1   - Value of K1 at the cracks tip (just a float not a matrix)
%
%  X    - X distance of point from the tip of the crack (can be a matrix, vector or float)
%
%  Y    - Y distance from the tip of the crack (can be a matrix, vector or float)
%
% TipDip - Dip angle of the tip in degrees
%
% Arguments: (output)
% Sxz,Syz - Stress tensors at the points around the crack, back in the
% global coordinate system. These are the out of plane components.
%
% Example usage:
% %Reproduce P&F Fig9.31 box c)
% K3=1
% theta=linspace(-pi,pi,100);
% r=1;
% [X,Y] = pol2cart(theta,r);
% [Sxz,Syz] = K3StressDistro(K3, X,Y, 0);
% figure;hold on
% plot(theta,Sxz)
% plot(theta,Syz)
%
%  Author: Tim Davis
%  Copyright 2017, Tim Davis, Potsdam University\The University of Aberdeen

%[dimx,dimy] = size(X);  

%Rotate so we are in the tip coordiantes:
[Xrot,Yrot] = RotateObject2d(X(:),Y(:),deg2rad(-TipDip));
[theta,r]=cart2pol(Xrot,Yrot);

%Eq 9.72 Pollard and Fletcher
Cons1=K3./sqrt(2*pi*r);
Sxz=Cons1.*(-sin(theta/2));
Syz=Cons1.*(cos(theta/2));

%Convert back to global coords - No need!
% CosAx=cos(deg2rad(TipDip));
% CosAy=sin(deg2rad(TipDip));
%[ Sxz,Syz ] = StressTensorTransformation2d(Sxz,Syz,zeros(size,CosAx,CosAy );

%Back to input grid size
%[Sxx,Syy,Sxy]=ReshapeData2d...
%    ( dimx,dimy,Sxx,Syy,Sxy );

end