Testing automatic quadrature programs

A new method for testing automatic quadrature programs is introduced. With only one computer run, this method gives complete information on the behaviour of the integration program for a single function and any use tolerance, and is well suited for statistic and parametric studies with a large number of integrands. The method is applied to study the behaviour of some well-known automatic quadrature routines (CCQUAD, QAG, QAGS, QXG, QXGS).