cpp/control/wallisapprox Source

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Description
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This program should use a loop to compute the result of the first 10
terms of Wallis' approximation of PI/2. See the comment in the code
for the exact terms.

Epilogue
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shown when solved

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Remarks
Comments, history, license, etc.

Originally by Mark Redekopp (redekopp@usc.edu) and Dave Pritchard (daveagp@gmail.com)

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Correct answer
Template / Reference solution

Template / Reference solution

#include <iostream>
#include <iomanip>
using namespace std;

int main() {
double approx;

// write code that includes a for loop to compute the first 10
// terms of Wallis' approximation to PI/2 which is:
// (2/1)*(2/3)*(4/3)*(4/5)*(6/5)*(6/7)*(8/7)*(8/9)*(10/9)*(10/11)
\[
approx = 1.0;
for(int i=2; i <= 10; i+=2){
approx = approx * ( static_cast<double>(i) / (i-1) );
approx = approx * ( static_cast<double>(i) / (i+1) );
}

]\

cout << "The approximate value is ";
cout << setprecision(3) << approx << endl;
return 0;
}

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Property	Value
Description html markup shown to student	This program should use a loop to compute the result of the first 10 terms of Wallis' approximation of PI/2. See the comment in the code for the exact terms.
Epilogue html markup shown when solved	remove
Public permissions	remove
Remarks Comments, history, license, etc.	Originally by Mark Redekopp (redekopp@usc.edu) and Dave Pritchard (daveagp@gmail.com) remove
Engine
Choices json list of string, bool pairs e.g. `[["good", true], ["bad", false]]`
Correct answer
Template / Reference solution
Template / Reference solution	#include <iostream> #include <iomanip> using namespace std; int main() { double approx; // write code that includes a for loop to compute the first 10 // terms of Wallis' approximation to PI/2 which is: // (2/1)(2/3)(4/3)(4/5)(6/5)(6/7)(8/7)(8/9)(10/9)(10/11) \[ approx = 1.0; for(int i=2; i <= 10; i+=2){ approx = approx ( static_cast<double>(i) / (i-1) ); approx = approx * ( static_cast<double>(i) / (i+1) ); } ]\ cout << "The approximate value is "; cout << setprecision(3) << approx << endl; return 0; }
Java test suite See manual
C++ test suite json list of stdin/args tests e.g. `[{"stdin":"hi", "args":["4", "5"]}, {"stdin":"noargs"}]` to just run once with no input use `[{}]`	[ {} ]
C++ test suite See manual
Forbidden substrings json list of strings e.g. `["for","while"]`	remove
Solution visibility	remove
Java imports json list of importables e.g. `["java.util.*"]`	remove
Override Java classname else defaults to websheet name	remove
Dependent on other websheets? json list of websheet names in this folder e.g. `["DataStructure"]`	remove
Is example? i.e., just a demo	remove
Add compiler flag(s) json list of flags e.g. `["-Wno-unused-variable"]`	remove
Remove default compiler flag(s) json list of flags see default_cppflags e.g. `["-Wno-write-strings"]`	remove

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