Calculate distance considering road network

I would like to calculate the distance between two coordinates using Matlab. However, this distance I would like to consider the road network. I wouldn't want to use any google API ok. The latitude and longitude of the two points are below:

% Coordinates of the points:
lat1 = -22.8851078223344;
lon1 = -48.4939312250395;
lat2 = -22.8315940282463;
lon2 = -48.4298167144681;

Answer 1

[Chunru]

lat1 = -22.8851078223344;
lon1 = -48.4939312250395;
lat2 = -22.8315940282463;
lon2 = -48.4298167144681;

% need mapping toolbox
arclen = distance(lat1, lon1, lat2, lon2)

arclen = 0.0797

d = deg2km(arclen)

d = 8.8636

[JOVANI]

Thanks for the answer, but I believe that the distance function does not consider the road network. Any other suggestions?

[Chunru]

How do you specify road network? Can you give a simple example?