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Task/Trabb-Pardo-Knuth-algorithm/00DESCRIPTION
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Task/Trabb-Pardo-Knuth-algorithm/00DESCRIPTION
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The TPK algorithm is an early example of programming chrestomathy. It was used in Donald Knuth and Luis Trabb Pardo's Stanford tech report [http://bitsavers.org/pdf/stanford/cs_techReports/STAN-CS-76-562_EarlyDevelPgmgLang_Aug76.pdf The Early Development of Programming Languages]. The report traces the early history of work in developing computer languages in the 1940s and 1950s, giving several translations of the algorithm.
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From the [[wp:Trabb Pardo–Knuth algorithm|wikipedia entry]]:
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'''ask''' for 11 numbers to be read into a sequence ''S''
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'''reverse''' sequence ''S''
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'''for each''' ''item'' '''in''' sequence ''S''
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''result'' ''':=''' '''call''' a function to do an ''operation''
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'''if''' ''result'' overflows
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'''alert''' user
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'''else'''
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'''print''' ''result''
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The task is to implement the algorithm:
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# Use the function <math>f(x) = |x|^{0.5} + 5x^3</math>
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# The overflow condition is an answer of greater than 400.
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# The 'user alert' should not stop processing of other items of the sequence.
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# Print a prompt before accepting '''eleven''', textual, numeric inputs.
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# You may optionally print the item as well as its associated result, but the results must be in reverse order of input.
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# The sequence S may be 'implied' and so not shown explicitly.
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# ''Print and show the program in action from a typical run here''. (If the output is graphical rather than text then either add a screendump or describe textually what is displayed).
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