DP-4 : Ordering the series and interpolation

Abstract

The documentation for ordering the series describes the comparative studies carried out using four subroutines available in the literature. The comparison is made on the basis of compilation time, run time and memory requirements of the programme. The mean and standard deviation of run tines are also compared. The test data used are ten different series of 600 real numbers each generated by a random number generation subroutine. The study shows that the subroutine ORDER 2 which uses the principle of 'division and comparison' takes minimum average run time. Also it requires less total time including compilation and execution times.

The input description and the subroutine listing are given in the documentation.

The documentation for interpolation describes the use of three subroutines. The methods employed in these subroutines are (1) spline fit, 2) second order parabolic, and (3) Lagrange's interpolation. No internal data storage is required for any of the three subroutines listed in the documentation. Input data requirements are specified. Example input and output of the subroutines are listed in the documentation.