Thi s pape r desc ribes a n app li cation of tes tin g meth odology a nd te c hniqu e s de ve lope d by th e a uth ors to a id in impro vi ng th e qu a lity of mathem ati ca l soft wa re. Thes e techni q ues diffe r rad ica ll y in se vera l as pects from tec hni q ues pre vious ly used . th e most import a nt d iffere nce be in g th at th e testin g is not bas ed e xc lu s ivel y Oil random a rgum e nt s. In s te ad , throu g hou t th e ran ge of e ac h fun c ti o n use is ma de of s pec ia l a rgum e nt s th at a re des ig ne d to d etec t progra mmin g e rrors and to tes t th e pe rfnrm a nce of an algo rithm in diffe re nt region s.
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Lozier et al. (1973) studied this question.