By P.M. Dew, James
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Quoted by W. R. Cowell and L. D. Fosdick in Rice (1977)) Today, rapid advances in computer technology mean that on large, mainframe computers the scarce resource is not computing power but programming power. Considerable effort is required to produce good mathematical software, and hence the emphasis is on being able to transport well-tried programs from one installation to another with a minimum of modification. This means, in particular, that programmers should resist the temptation to exploit peculiarities of the computer system or obscure features of the programming language; tricks of this sort make programs difficult to understand and may also make them fail when implemented on different systems.
1 Output from program polgraph Introduction to Numerical Computation in Pascal 40 Notes (i) This is a typical example program which might appear in the documentation of polsum. For the sake of clarity and convenience in examples, it is quite usual to specify the data by constant defmitions and assignment statements rather than by reading the data from a me. We have done this for the degree n and the coefficients a[O], ... , a of the polynomial. To plot a different polynomial the appropriate lines of the program would be altered.
To plot the curvey =p(x) we first compute they values (y[i], i =1, ... , npts) at a suitable set of points (x[i], i = 1, ... , npts). We then supply the arrays x and y to procedure graf. The frrst parameter of graf is a fllename which allows the user to direct where the graph is to be plotted. Thus, if we wish the graph to appear on the output flle, the actual parameter will be output, and we invoke graf as graf (output, npts, x, y) The example program and results follow. 0 4 (* (* (* (* number of graph points *) interval over which the polynomial *) is to be plotted *) degree of the polynomial *) (* Define data types corresponding to those used in the mathlib routines *) TYPE index o•• 100 : range l.