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  1. POHow do you randomly zero a bit in an integer?
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    <p><strong>Updated with newer answer and better test</strong></p> <p>Let's say I have the number 382 which is 101111110.</p> <p>How could I randomly turn a bit which is not 0 to 0?</p> <p>The why;</p> <p>Since people ask me why, I simply need to do this, removing a bit from an integer.</p> <p>based on the answer here is the result(working one)<br> I ran this </p> <pre><code>using System; using System.Collections.Generic; using System.Collections; using System.Linq; using System.Diagnostics; namespace ConsoleApplication1 { class Program { static Random random; static void Main(string[] args) { Stopwatch sw; int[] test = new int[10] { 382, 256, 1, 257, 999, 555, 412, 341, 682, 951 }; random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) Perturb(test[j]); sw.Stop(); Console.WriteLine("Perturb " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; Perturb " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) FastPerturb(test[j]); sw.Stop(); Console.WriteLine("FastPerturb " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; FastPerturb " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) SetRandomTrueBitToFalse(test[j]); sw.Stop(); Console.WriteLine("SetRandomTrueBitToFalse " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; SetRandomTrueBitToFalse " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) flipRandomBit(test[j]); sw.Stop(); Console.WriteLine("flipRandomBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; flipRandomBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) oneBitsIndexes(test[j]); sw.Stop(); Console.WriteLine("oneBitsIndexes " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; oneBitsIndexes " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) ClearOneBit(test[j]); sw.Stop(); Console.WriteLine("ClearOneBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; ClearOneBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) FlipRandomTrueBit(test[j]); sw.Stop(); Console.WriteLine("FlipRandomTrueBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; FlipRandomTrueBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } random = new Random(42); for (int j = 0; j &lt; 10; j++) { sw = Stopwatch.StartNew(); for (int i = 0; i &lt; 1000000; i++) ClearRandomBit(test[j]); sw.Stop(); Console.WriteLine("ClearRandomBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString()); Debug.WriteLine("&gt; ClearRandomBit " + sw.Elapsed.TotalSeconds.ToString("0.#######") + " seconds for " + test[j].ToString() + " "); } Console.Read(); } public static int Perturb(int data) { if (data == 0) return 0; int minBits = (data &amp; 0xFFFF0000) == 0 ? 16 : 32; int newData = data; do { newData &amp;= ~(1 &lt;&lt; random.Next(minBits)); } while (newData == data); return newData; } public static int FastPerturb(int data) { if (data == 0) return 0; int bit = 0; while (0 == (data &amp; (bit = 1 &lt;&lt; random.Next(32)))) ; return data &amp; ~bit; } private static Int32 SetRandomTrueBitToFalse(Int32 p) { List&lt;int&gt; trueBits = new List&lt;int&gt;(); for (int i = 0; i &lt; 31; i++) { if ((p &gt;&gt; i &amp; 1) == 1) { trueBits.Add(i); } } if (trueBits.Count &gt; 0) { int index = random.Next(0, trueBits.Count); return p &amp; ~(1 &lt;&lt; trueBits[index]); } return p; } public static int getBitCount(int bits) { bits = bits - ((bits &gt;&gt; 1) &amp; 0x55555555); bits = (bits &amp; 0x33333333) + ((bits &gt;&gt; 2) &amp; 0x33333333); return ((bits + (bits &gt;&gt; 4) &amp; 0xF0F0F0F) * 0x1010101) &gt;&gt; 24; } public static int flipRandomBit(int data) { int index = random.Next(getBitCount(data)); int mask = data; for (int i = 0; i &lt; index; i++) mask &amp;= mask - 1; mask ^= mask &amp; (mask - 1); return data ^ mask; } public static int oneBitsIndexes(int data) { if (data &gt; 0) { var oneBitsIndexes = Enumerable.Range(0, 31) .Where(i =&gt; ((data &gt;&gt; i) &amp; 0x1) != 0).ToList(); // pick a random index and update the source value bit there from 1 to 0 data &amp;= ~(1 &lt;&lt; oneBitsIndexes[random.Next(oneBitsIndexes.Count)]); } return data; } static private int ClearOneBit(int originalValue) { if (originalValue == 0) return 0; // All bits are already set to 0, nothing to do int mask = 0; do { int n = random.Next(32); mask = 1 &lt;&lt; n; } while ((mask &amp; originalValue) == 0); // check that this bit is not 0 int newValue = originalValue &amp; ~mask; // clear this bit return newValue; } public static BitArray FlipRandomTrueBit(BitArray bits) { List&lt;int&gt; trueBits = new List&lt;int&gt;(); for (int i = 0; i &lt; bits.Count; i++) if (bits[i]) trueBits.Add(i); if (trueBits.Count &gt; 0) { int index = random.Next(0, trueBits.Count); bits[trueBits[index]] = false; } return bits; } public static int FlipRandomTrueBit(int input) { BitArray bits = new BitArray(new int[] { input }); BitArray flipedBits = FlipRandomTrueBit(bits); byte[] bytes = new byte[4]; flipedBits.CopyTo(bytes, 0); int result = BitConverter.ToInt32(bytes, 0); return result; } static int ClearRandomBit(int value) { return unchecked((int)ClearRandomBit((ulong)(uint)value)); } static ulong ClearRandomBit(ulong value) { // Algorithm from http://graphics.stanford.edu/~seander/bithacks.html // // "Select the bit position (from the most-significant bit) with the // given count (rank)." // // The following 64-bit code selects the position of the rth 1 bit when // counting from the left. In other words if we start at the most // significant bit and proceed to the right, counting the number of bits // set to 1 until we reach the desired rank, r, then the position where // we stop will be the final value given to s. // Do a normal parallel bit count for a 64-bit integer, // but store all intermediate steps. ulong v = value; ulong a = v - ((v &gt;&gt; 1) &amp; ~0UL / 3); ulong b = (a &amp; ~0UL / 5) + ((a &gt;&gt; 2) &amp; ~0UL / 5); ulong c = (b + (b &gt;&gt; 4)) &amp; ~0UL / 0x11; ulong d = (c + (c &gt;&gt; 8)) &amp; ~0UL / 0x101; ulong t = (uint)((d &gt;&gt; 32) + (d &gt;&gt; 48)); // Choose a random r in the range [1-bitCount] int bitCount = (int)((d * (~0UL / 255)) &gt;&gt; 56); int randomRank = 1 + random.Next(bitCount); ulong r = (ulong)randomRank; // Compute s ulong s = 64; s -= ((t - r) &amp; 256UL) &gt;&gt; 3; r -= (t &amp; ((t - r) &gt;&gt; 8)); t = (d &gt;&gt; (int)(s - 16)) &amp; 0xff; s -= ((t - r) &amp; 256UL) &gt;&gt; 4; r -= (t &amp; ((t - r) &gt;&gt; 8)); t = (c &gt;&gt; (int)(s - 8)) &amp; 0xf; s -= ((t - r) &amp; 256UL) &gt;&gt; 5; r -= (t &amp; ((t - r) &gt;&gt; 8)); t = (b &gt;&gt; (int)(s - 4)) &amp; 0xf; s -= ((t - r) &amp; 256UL) &gt;&gt; 6; r -= (t &amp; ((t - r) &gt;&gt; 8)); t = (a &gt;&gt; (int)(s - 2)) &amp; 0x3; s -= ((t - r) &amp; 256UL) &gt;&gt; 7; r -= (t &amp; ((t - r) &gt;&gt; 8)); t = (v &gt;&gt; (int)(s - 1)) &amp; 0x1; s -= ((t - r) &amp; 256UL) &gt;&gt; 8; s = 65 - s; // Clear the selected bit return value &amp; ~(1UL &lt;&lt; (int)(64 - s)); } } } </code></pre> <p>result;</p> <blockquote> <p>Perturb 0.1704681 seconds for 382<br> Perturb 0.9307034 seconds for 256<br> Perturb 0.932266 seconds for 1<br> Perturb 0.4896138 seconds for 257<br> Perturb 0.1541828 seconds for 999<br> Perturb 0.2222421 seconds for 555<br> Perturb 0.2370868 seconds for 412<br> Perturb 0.2229154 seconds for 341<br> Perturb 0.2233445 seconds for 682<br> Perturb 0.1554396 seconds for 951<br> FastPerturb 0.2988974 seconds for 382<br> FastPerturb 1.8008209 seconds for 256<br> FastPerturb 1.7966043 seconds for 1<br> FastPerturb 0.9255025 seconds for 257<br> FastPerturb 0.2708695 seconds for 999<br> FastPerturb 0.4036553 seconds for 555<br> FastPerturb 0.401872 seconds for 412<br> FastPerturb 0.4042984 seconds for 341<br> FastPerturb 0.4028209 seconds for 682<br> FastPerturb 0.2688467 seconds for 951<br> SetRandomTrueBitToFalse 0.6127648 seconds for 382<br> SetRandomTrueBitToFalse 0.4432519 seconds for 256<br> SetRandomTrueBitToFalse 0.4193295 seconds for 1<br> SetRandomTrueBitToFalse 0.4543657 seconds for 257<br> SetRandomTrueBitToFalse 0.6270696 seconds for 999<br> SetRandomTrueBitToFalse 0.5891294 seconds for 555<br> SetRandomTrueBitToFalse 0.5910375 seconds for 412<br> SetRandomTrueBitToFalse 0.6104247 seconds for 341<br> SetRandomTrueBitToFalse 0.6249519 seconds for 682<br> SetRandomTrueBitToFalse 0.6142904 seconds for 951<br> flipRandomBit 0.1624584 seconds for 382<br> flipRandomBit 0.1284565 seconds for 256<br> flipRandomBit 0.13208 seconds for 1<br> flipRandomBit 0.1383649 seconds for 257<br> flipRandomBit 0.1658636 seconds for 999<br> flipRandomBit 0.1563506 seconds for 555<br> flipRandomBit 0.1588513 seconds for 412<br> flipRandomBit 0.1561841 seconds for 341<br> flipRandomBit 0.1562256 seconds for 682<br> flipRandomBit 0.167605 seconds for 951<br> oneBitsIndexes 2.1871352 seconds for 382<br> oneBitsIndexes 1.8677352 seconds for 256<br> oneBitsIndexes 1.8389871 seconds for 1<br> oneBitsIndexes 1.8729746 seconds for 257<br> oneBitsIndexes 2.1821771 seconds for 999<br> oneBitsIndexes 2.1300304 seconds for 555<br> oneBitsIndexes 2.1098191 seconds for 412<br> oneBitsIndexes 2.0836421 seconds for 341<br> oneBitsIndexes 2.0803612 seconds for 682<br> oneBitsIndexes 2.1684378 seconds for 951<br> ClearOneBit 0.3005068 seconds for 382<br> ClearOneBit 1.7872318 seconds for 256<br> ClearOneBit 1.7902597 seconds for 1<br> ClearOneBit 0.9243212 seconds for 257<br> ClearOneBit 0.2666008 seconds for 999<br> ClearOneBit 0.3929297 seconds for 555<br> ClearOneBit 0.3964557 seconds for 412<br> ClearOneBit 0.3945432 seconds for 341<br> ClearOneBit 0.3936286 seconds for 682<br> ClearOneBit 0.2686803 seconds for 951<br> FlipRandomTrueBit 1.5828644 seconds for 382<br> FlipRandomTrueBit 1.3162437 seconds for 256<br> FlipRandomTrueBit 1.2944724 seconds for 1<br> FlipRandomTrueBit 1.3305612 seconds for 257<br> FlipRandomTrueBit 1.5845461 seconds for 999<br> FlipRandomTrueBit 1.5252726 seconds for 555<br> FlipRandomTrueBit 1.5786568 seconds for 412<br> FlipRandomTrueBit 1.5314749 seconds for 341<br> FlipRandomTrueBit 1.5311035 seconds for 682<br> FlipRandomTrueBit 1.6164142 seconds for 951<br> ClearRandomBit 0.2681578 seconds for 382<br> ClearRandomBit 0.2728117 seconds for 256<br> ClearRandomBit 0.2685423 seconds for 1<br> ClearRandomBit 0.2626029 seconds for 257<br> ClearRandomBit 0.2623253 seconds for 999<br> ClearRandomBit 0.274382 seconds for 555<br> ClearRandomBit 0.2644288 seconds for 412<br> ClearRandomBit 0.2667171 seconds for 341<br> ClearRandomBit 0.264912 seconds for 682<br> ClearRandomBit 0.2666491 seconds for 951 </p> </blockquote> <p>so in the end, Kyteland is now the winner.</p>
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