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: meshVolume.m
    path of file: ./repos/matGeom/matGeom/meshes3d
    
    the code of the file until where you have to start completion: function vol = meshVolume(varargin)
%MESHVOLUME (Signed) volume of the space enclosed by a polygonal mesh.
%
%   V = meshVolume(VERTS, FACES)
%   Computes the volume of the space enclosed by the polygonal mesh
%   represented by vertices VERTS (as a Nv-by-3 array of cooridnates) and
%   the array of faces FACES (either as a Nf-by-3 array of vertex indices,
%   or as a cell array of arrays of vertex indices).
%
%   The volume is computed as the sum of the signed volumes of tetrahedra
%   formed by triangular faces and the centroid of the mesh. Faces need to
%   be oriented such that normal points outwards the mesh. See:
%   http://stackoverflow.com/questions/1838401/general-formula-to-calculate-polyhedron-volume
%
%   Example
%     % computes the volume of a unit cube (should be equal to 1...)
%     [v f] = createCube;
%     meshVolume(v, f)
%     ans = 
%         1
%
%   See also 
%   meshes3d, meshSurfaceArea, tetrahedronVolume, meshComplement

    
function vol = meshVolume(varargin)
%MESHVOLUME (Signed) volume of the space enclosed by a polygonal mesh.
%
%   V = meshVolume(VERTS, FACES)
%   Computes the volume of the space enclosed by the polygonal mesh
%   represented by vertices VERTS (as a Nv-by-3 array of cooridnates) and
%   the array of faces FACES (either as a Nf-by-3 array of vertex indices,
%   or as a cell array of arrays of vertex indices).
%
%   The volume is computed as the sum of the signed volumes of tetrahedra
%   formed by triangular faces and the centroid of the mesh. Faces need to
%   be oriented such that normal points outwards the mesh. See:
%   http://stackoverflow.com/questions/1838401/general-formula-to-calculate-polyhedron-volume
%
%   Example
%     % computes the volume of a unit cube (should be equal to 1...)
%     [v f] = createCube;
%     meshVolume(v, f)
%     ans = 
%         1
%
%   See also 
%   meshes3d, meshSurfaceArea, tetrahedronVolume, meshComplement

% ------
% Author: David Legland
% E-mail: david.legland@inrae.fr
% Created: 2012-10-01, using Matlab 7.9.0.529 (R2009b)
% Copyright 2012-2023 INRA - Cepia Software Platform

% parse input
[vertices, faces] = parseMeshData(varargin{:});

% ensure mesh has triangle faces
faces = triangulateFaces(faces);

% initialize an array of volume
nFaces = size(faces, 1);
vols = zeros(nFaces, 1);

% Shift all vertices to the mesh centroid
vertices = bsxfun(@minus, vertices, mean(vertices,1));

% compute volume of each tetraedron
for i = 1:nFaces
    % consider the tetrahedron formed by face and mesh centroid
    tetra = vertices(faces(i, :), :);
    
    % volume of current tetrahedron
    vols(i) = det(tetra) / 6;
end