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POCode Golf - π day
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copied!<h2>The Challenge</h2> <p><a href="https://meta.stackexchange.com/questions/24242">Guidelines for code-golf on SO</a></p> <p>The shortest code by character count to display a representation of a circle of radius <em><code>R</code></em> using the <code>*</code>character, followed by an approximation of π.</p> <p>Input is a single number, <em><code>R</code></em>.</p> <p>Since most computers seem to have almost 2:1 ratio you should only output lines where <em><code>y</code></em> is odd. This means that when <em><code>R</code></em> is odd you should print <em><code>R-1</code></em> lines. There is a new testcase for <em><code>R=13</code></em> to clarify.</p> <p>eg.</p> <pre><code>Input 5 Output Correct Incorrect 3 ******* 4 ******* 1 ********* 2 ********* -1 ********* 0 *********** -3 ******* -2 ********* 2.56 -4 ******* 3.44 </code></pre> <p><strong>Edit:</strong> Due to widespread confusion caused by odd values of <em><code>R</code></em>, any solutions that pass the 4 test cases given below will be accepted</p> <p>The approximation of π is given by dividing twice the number of <code>*</code> characters by <em><code>R²</code></em>.<br> The approximation should be correct to at least 6 significant digits.<br> Leading or trailing zeros are permitted, so for example any of <code>3</code>, <code>3.000000</code>, <code>003</code> is accepted for the inputs of <code>2</code> and <code>4</code>.</p> <p>Code count includes input/output (i.e., full program).</p> <h2>Test Cases</h2> <pre><code>Input 2 Output *** *** 3.0 Input 4 Output ***** ******* ******* ***** 3.0 Input 8 Output ******* ************* *************** *************** *************** *************** ************* ******* 3.125 Input 10 Output ********* *************** ***************** ******************* ******************* ******************* ******************* ***************** *************** ********* 3.16 </code></pre> <h2>Bonus Test Case</h2> <pre><code>Input 13 Output ************* ******************* ********************* *********************** ************************* ************************* ************************* ************************* *********************** ********************* ******************* ************* 2.98224852071 </code></pre>

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