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(define sum (lambda n (cond ((null n) 0) ( (null (cdr n)) (car n) ) ( else (+ (car n) (listSum (cdr n)))) ))) The code for sum is similar to listSum in its checking for the length of n (the set of parameters in the case of sum), but if the number of parameters is two or greater, sum uses the listSum function to compute the sum of elements 2 through n. That is because listSum expects a list as an argument, whereas sum expects one or more separate arguments that get concatenated into a new list. If sum were to recursively call itself passing (cdr n), the next call to sum would create ((cdr n)), a list of one element (the element is another list, the cdr of the list of parameters), and the second line of cond would return a list instead of a number. Our version of sum now behaves like + and will accept any number of parameters and return the sum. > (sum 2 4 5 6) 17 A more elegant solution accepts the list, builds a new expression by putting the + in front of the list, and passes the new list to the Scheme eval function directly. The eval function is the function that Scheme itself uses to evaluate expressions. (define sum (lambda n (cond ((null n) 0) ( else (eval (cons '+ n))) ))) This solution introduces two new elements of Scheme syntax. To understand this version, you need to know that the single quote before the + stops Scheme from evaluating the function + , and instead forces Scheme to treat + as a simple character atom. In addition, the function cons creates a new list by adding an element to the front of a list, in this case adding the + to the front of the list of numbers to be summed. Functional programming has the desirable properties of simple syntax and semantics, and compact code. Also, since a function may not change any of the parameters passed to it, and since assignment is not used to change program state, side effects (any changes in variables that endure after execution of the code) are eliminated, with resulting improvements in reliability. Historically, functional programming has found advocates in the fields of artificial intelligence and expert systems. The popular editor Emacs is written in LISP, too, as is the on-line fare search program employed by Orbitz (http://www.paulgraham.com/icad.html). LANGUAGE DESIGN Computer programming languages are developed to make it easier for humans to direct computation. At some times in the past it was thought that a single language could be best for all programming tasks. For instance, IBM planned to unify scientific and business programming in the 1960s with PL1, replacing both FORTRAN and Cobol. In the 1980s there was talk of Pascal replacing all other languages because of its superior type checking and block structure. As time has passed, however, more languages, not fewer, have come into use, and new ones still appear. We think this is due to the maturing of the programming discipline. Just as any able mechanic will carry several different tools for working with a 10 mm nut (open-end wrench, box wrench, crows-foot wrench, shallow socket, deep socket, etc.), any able programmer will carry knowledge of several different languages so that they can select the best one for a particular circumstance. Some languages provide better run-time performance, some provide unusually compact syntax for quick one-off programs, some offer particularly strong features for manipulating text, some for working with matrices of numbers, etc. In evaluating a language, computer scientists consider many properties.
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