  We present algorithms to classify isolated hypersurface singularities over
the real numbers according to the classification by V.I. Arnold (Arnold et al.,
1985). This first part covers the splitting lemma and the simple singularities;
a second and a third part will be devoted to the unimodal singularities up to
corank 2. All algorithms are implemented in the SINGULAR library
realclassify.lib (Marais and Steenpass, 2012).
