OZ PROGRAMMING LANGUAGE Survey of Programming Language Concepts, cosc-3308Lab/Assignment 4Exercise 1. (Efficient Recurrence Relations Calculation) At slide 54 of Lecture 10, we have seen aconcurrent implementation of classical Fibonacci recurrence. This is:fun {Fib X}if X==0 then 0elseif X==1 then 1elsethread {Fib X-1} end + {Fib X-2}endendBy calling Fib for actual parameter value 6, we get the following execution containing several calls ofthe same actual parameters.Execution of {Fib 6}F6F5F410/27/2006F4F3F3.F2F3:F2F2F1F2F1F2F1CS2104, Lecture 7(Fib 6) is denoted as F6,...Fork a threadSynchronize on resultRunning thread56For example, F3, that stands for {Fib 3}, is calculated independently three times (although it providesthe same value every time). Write an efficient Oz implementation that is doing a function call for a givenactual parameter only once.Consider a more general recurrence relation, e.g.:Fo, F1, ..., Fm-1 are known as initial values.Fn = g(Fn-1,. Fn-m), for any n≥m.For example, Fibonacci recurrence has m=2, g(x, y) = x+y, Fo=F₁=1.

Survey of Programming Language Concepts, cosc-3308 Lab/Assignment 4 Exercise 1. (Efficient Recurrence Relations Calculation) At slide 54 of Lecture 10, we have seen a concurrent implementation of classical Fibonacci recurrence. This is: fun (Fib X} if X==0 then 0 elseif X==1 then 1 else end end thread (Fib X-1} end + {Fib X-2} By calling Fib for actual parameter value 6, we get the following execution containing several calls of the same actual parameters. Execution of {Fib 6} F5 F4 10/27/2006 F4 F3 F2 F3: F2 F2 F1 F2 F1 F2 F1 CS2104, Lecture 7 (Fib 6) is denoted as F6,... Fork a thread Synchronize on result Running thread 56 For example, F3, that stands for {Fib 3}, is calculated independently three times (although it provides the same value every time). Write an efficient Oz implementation that is doing a function call for a given actual parameter only once. Consider a more general recurrence relation, e.g.: Fo, F1, ..., Fm-1 are known as initial values. Fn = g(Fn-1, ..., Fn-m), for any n ≥ m. For example, Fibonacci recurrence has m=2, g(x, y) = x+y, Fo=F₁=1.

Survey of Programming Language Concepts, cosc-3308 Lab/Assignment 4 Exercise 1. (Efficient Recurrence Relations Calculation) At slide 54 of Lecture 10, we have seen a concurrent implementation of classical Fibonacci recurrence. This is: fun (Fib X} if X==0 then 0 elseif X==1 then 1 else end end thread (Fib X-1} end + {Fib X-2} By calling Fib for actual parameter value 6, we get the following execution containing several calls of the same actual parameters. Execution of {Fib 6} F5 F4 10/27/2006 F4 F3 F2 F3: F2 F2 F1 F2 F1 F2 F1 CS2104, Lecture 7 (Fib 6) is denoted as F6,... Fork a thread Synchronize on result Running thread 56 For example, F3, that stands for {Fib 3}, is calculated independently three times (although it provides the same value every time). Write an efficient Oz implementation that is doing a function call for a given actual parameter only once. Consider a more general recurrence relation, e.g.: Fo, F1, ..., Fm-1 are known as initial values. Fn = g(Fn-1, ..., Fn-m), for any n ≥ m. For example, Fibonacci recurrence has m=2, g(x, y) = x+y, Fo=F₁=1.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 7SA

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OZ PROGRAMMING LANGUAGE Exercise 1. (Efficient Recurrence Relations Calculation) At slide 54 of Lecture 10, we have seen aconcurrent implementation of classical Fibonacci recurrence. This is: fun {Fib X} if X==0 then 0 elseif X==1 then 1 else thread {Fib X-1} end + {Fib X-2} end end By calling Fib for actual parameter value 6, we get the following execution containing several calls ofthe same actual parameters.For example, F3, that stands for {Fib 3}, is calculated independently three times (although it providesthe same value every time). Write an efficient Oz implementation that is doing a function call for a givenactual parameter only once.Consider a more general recurrence relation, e.g.:F0, F1, ..., Fm-1 are known as initial values.Fn = g(Fn-1, ..., Fn-m), for any n ≥ m.For example, Fibonacci recurrence has m=2, g(x, y) = x+y, F0=F1=1
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