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X ... ix% =? scm c: smith\project\foo. 11. 12. Investigate what happens when the following strings are typed into your Scheme interpreter: a. "\cat" b. "\\cat" c. "\\\cat" 30 1. 13. Draw data flow diagrams for the following Scheme applications: a . ( + ( cos (* 3 x» b. (+ (+ (+ X y) ( sqrt (/ 1 x») (+ Z z» (+ X c. 14. Assume exp is a Scheme expression. Some versions of Scheme allow programmers to call the eval procedure directly: (eval exp) the value of exp in the Global Environment Assume the following defmitions have been made: (define (define (define (define vall val2 val3 va14 42) 'vall) 'vaI2) '(quotient vall 6» Compute the values of the following Scheme expressions: a.

Vals) = #t, if (pred? v) for all v in vals = #f, otherwise 5 Warning: This version of map doesn't work in TI PC-Scheme. Appendices 53 (some? pred? vals) = it, if (pred? v) for some vals = if, otherwise The all? predicate converts vals into a list of booleans by mapping pred? along vals. #t is returned if #f is not a member of the mapped list: ; = it if for all v in vals (red? v) = it (define (all? pred? vals) (not (member? if (map pred? vals»» The some? predicate also converts vals into a list of booleans using map, but returns #t in case #t is a member of the mapped list: ; = it if some (pred?

1 ) (" two" . 2) ("three" . 3) ("four". 4) ("five"-. 5) ("six" . 6) ("seven" . 7) ("eight" . 8) ( "nine" . 9») We can implement the procedure as a simple search of the graph: = coercion of string to corresponding digit (define (string->digit string) (cdr (assoc string string->digit-graph») i Could assv have been used in this defmition instead of assoc? 5. Meta-Procedures Map and apply are examples of meta-procedures because each expects an arbitrary procedure and a list as input: (apply proc vals) = result of applying proc to vals (map proc vals) = list formed by applying proc to each member of vals.

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An algebraic approach to compiler design by Sampaio A.

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