Another 2x speedup by hardcoding flattening for fixed arrays

README.md

@@ -22,13 +22,14 @@ Anagrams generation is not parallelized, as even single-threaded performance for
 
 Multi-threaded performance with RyuJIT (.NET 4.6, 64-bit system) on quad-core Sandy Bridge @2.8GHz is as follows:
 
-* If only phrases of at most 4 words are allowed, then it takes around 4 seconds to find and check all 7433016 anagrams; all hashes are solved in first 0.5 seconds.
+* If only phrases of at most 4 words are allowed, then it takes **less than 3 seconds** to find and check all 7433016 anagrams; all hashes are solved in first 0.4 seconds.
 
-* If phrases of 5 words are allowed as well, then it takes around 12 minutes to find and check all 1348876896 anagrams; all hashes are solved in first 18 seconds. Most of time is spent on MD5 computations for correct anagrams, so there is not a lot to optimize further.
+* If phrases of 5 words are allowed as well, then it takes around 7.5 minutes to find and check all 1348876896 anagrams; all hashes are solved in first 10 seconds.
+Most of time is spent on MD5 computations for correct anagrams, so there is not a lot to optimize further.
 
-* If phrases of 6 words are allowed as well, then "more difficult" hash is solved in 19 seconds, "easiest" in 2 minutes, and "hard" in less than 5 minutes.
+* If phrases of 6 words are allowed as well, then "more difficult" hash is solved in 10 seconds, "easiest" in 1 minute, and "hard" in 2.5 minutes.
 
-* If phrases of 7 words are allowed as well, then "more difficult" hash is solved in ~2 minutes.
+* If phrases of 7 words are allowed as well, then "more difficult" hash is solved in 58 seconds.
 
 Note that all measurements were done on a Release build; Debug build is significantly slower.
 

WhiteRabbit/Flattener.cs

@@ -0,0 +1,181 @@
+namespace WhiteRabbit
+{
+    using System.Collections.Generic;
+    using System.Collections.Immutable;
+    using System.Linq;
+
+    /// <summary>
+    /// Converts e.g. pair of variants [[a, b, c], [d, e]] into all possible pairs: [[a, d], [a, e], [b, d], [b, e], [c, d], [c, e]]
+    /// </summary>
+    internal static class Flattener
+    {
+        // Slow universal implementation
+        private static IEnumerable<ImmutableStack<T>> FlattenAny<T>(ImmutableStack<T[]> phrase)
+        {
+            if (phrase.IsEmpty)
+            {
+                return new[] { ImmutableStack.Create<T>() };
+            }
+
+            T[] wordVariants;
+            var newStack = phrase.Pop(out wordVariants);
+            return FlattenAny(newStack).SelectMany(remainder => wordVariants.Select(word => remainder.Push(word)));
+        }
+
+        // Fast hard-coded implementation for 3 words
+        private static IEnumerable<T[]> Flatten3<T>(T[][] phrase)
+        {
+            for (var i0 = 0; i0 < phrase[0].Length; i0++)
+            {
+                for (var i1 = 0; i1 < phrase[1].Length; i1++)
+                {
+                    for (var i2 = 0; i2 < phrase[2].Length; i2++)
+                    {
+                        yield return new T[]
+                        {
+                            phrase[0][i0],
+                            phrase[1][i1],
+                            phrase[2][i2],
+                        };
+                    }
+                }
+            }
+        }
+
+        // Fast hard-coded implementation for 4 words
+        private static IEnumerable<T[]> Flatten4<T>(T[][] phrase)
+        {
+            for (var i0 = 0; i0 < phrase[0].Length; i0++)
+            {
+                for (var i1 = 0; i1 < phrase[1].Length; i1++)
+                {
+                    for (var i2 = 0; i2 < phrase[2].Length; i2++)
+                    {
+                        for (var i3 = 0; i3 < phrase[3].Length; i3++)
+                        {
+                            yield return new T[]
+                            {
+                                phrase[0][i0],
+                                phrase[1][i1],
+                                phrase[2][i2],
+                                phrase[3][i3],
+                            };
+                        }
+                    }
+                }
+            }
+        }
+
+        // Fast hard-coded implementation for 5 words
+        private static IEnumerable<T[]> Flatten5<T>(T[][] phrase)
+        {
+            for (var i0 = 0; i0 < phrase[0].Length; i0++)
+            {
+                for (var i1 = 0; i1 < phrase[1].Length; i1++)
+                {
+                    for (var i2 = 0; i2 < phrase[2].Length; i2++)
+                    {
+                        for (var i3 = 0; i3 < phrase[3].Length; i3++)
+                        {
+                            for (var i4 = 0; i4 < phrase[4].Length; i4++)
+                            {
+                                yield return new T[]
+                                {
+                                    phrase[0][i0],
+                                    phrase[1][i1],
+                                    phrase[2][i2],
+                                    phrase[3][i3],
+                                    phrase[4][i4],
+                                };
+                            }
+                        }
+                    }
+                }
+            }
+        }
+
+        // Fast hard-coded implementation for 6 words
+        private static IEnumerable<T[]> Flatten6<T>(T[][] phrase)
+        {
+            for (var i0 = 0; i0 < phrase[0].Length; i0++)
+            {
+                for (var i1 = 0; i1 < phrase[1].Length; i1++)
+                {
+                    for (var i2 = 0; i2 < phrase[2].Length; i2++)
+                    {
+                        for (var i3 = 0; i3 < phrase[3].Length; i3++)
+                        {
+                            for (var i4 = 0; i4 < phrase[4].Length; i4++)
+                            {
+                                for (var i5 = 0; i5 < phrase[5].Length; i5++)
+                                {
+                                    yield return new T[]
+                                    {
+                                        phrase[0][i0],
+                                        phrase[1][i1],
+                                        phrase[2][i2],
+                                        phrase[3][i3],
+                                        phrase[4][i4],
+                                    };
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+
+        // Fast hard-coded implementation for 7 words
+        private static IEnumerable<T[]> Flatten7<T>(T[][] phrase)
+        {
+            for (var i0 = 0; i0 < phrase[0].Length; i0++)
+            {
+                for (var i1 = 0; i1 < phrase[1].Length; i1++)
+                {
+                    for (var i2 = 0; i2 < phrase[2].Length; i2++)
+                    {
+                        for (var i3 = 0; i3 < phrase[3].Length; i3++)
+                        {
+                            for (var i4 = 0; i4 < phrase[4].Length; i4++)
+                            {
+                                for (var i5 = 0; i5 < phrase[5].Length; i5++)
+                                {
+                                    for (var i6 = 0; i6 < phrase[6].Length; i6++)
+                                    {
+                                        yield return new T[]
+                                        {
+                                            phrase[0][i0],
+                                            phrase[1][i1],
+                                            phrase[2][i2],
+                                            phrase[3][i3],
+                                            phrase[4][i4],
+                                        };
+                                    }
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        }
+
+        public static IEnumerable<T[]> Flatten<T>(T[][] wordVariants)
+        {
+            switch (wordVariants.Length)
+            {
+                case 3:
+                    return Flatten3(wordVariants);
+                case 4:
+                    return Flatten4(wordVariants);
+                case 5:
+                    return Flatten5(wordVariants);
+                case 6:
+                    return Flatten6(wordVariants);
+                case 7:
+                    return Flatten7(wordVariants);
+                default:
+                    return FlattenAny(ImmutableStack.Create(wordVariants)).Select(words => words.ToArray());
+            }
+        }
+    }
+}

WhiteRabbit/StringsProcessor.cs

@@ -54,30 +54,11 @@
             // converting sequences of vectors to the sequences of words...
             return sums
                 .Select(this.ConvertVectorsToWords)
-                .SelectMany(FlattenWords)
+                .SelectMany(Flattener.Flatten)
                 .Select(this.ConvertWordsToPhrase);
         }
 
-        // Converts e.g. pair of variants [[a, b, c], [d, e]] into all possible pairs: [[a, d], [a, e], [b, d], [b, e], [c, d], [c, e]]
+        private byte[][][] ConvertVectorsToWords(int[] vectors)
-        private static IEnumerable<ImmutableStack<T>> Flatten<T>(ImmutableStack<T[]> phrase)
-        {
-            if (phrase.IsEmpty)
-            {
-                return new[] { ImmutableStack.Create<T>() };
-            }
-
-            T[] wordVariants;
-            var newStack = phrase.Pop(out wordVariants);
-            return Flatten(newStack).SelectMany(remainder => wordVariants.Select(word => remainder.Push(word)));
-        }
-
-        private static IEnumerable<Tuple<int, ImmutableStack<byte[]>>> FlattenWords(Tuple<int, ImmutableStack<byte[][]>> wordVariants)
-        {
-            var item1 = wordVariants.Item1;
-            return Flatten(wordVariants.Item2).Select(words => Tuple.Create(item1, words));
-        }
-
-        private Tuple<int, ImmutableStack<byte[][]>> ConvertVectorsToWords(int[] vectors)
         {
             var length = vectors.Length;
             var words = new byte[length][][];
@@ -86,24 +67,22 @@
                 words[i] = this.WordsDictionary[vectors[i]];
             }
 
-            return Tuple.Create(length, ImmutableStack.Create(words));
+            return words;
         }
 
-        private byte[] ConvertWordsToPhrase(Tuple<int, ImmutableStack<byte[]>> words)
+        private byte[] ConvertWordsToPhrase(byte[][] words)
         {
-            var wordCount = words.Item1;
+            var result = new byte[this.NumberOfCharacters + words.Length - 1];
-            var result = new byte[this.NumberOfCharacters + wordCount - 1];
 
-            byte[] currentWord;
+            byte[] currentWord = words[0];
-            var currentStack = words.Item2.Pop(out currentWord);
             Buffer.BlockCopy(currentWord, 0, result, 0, currentWord.Length);
             var position = currentWord.Length;
-            while (!currentStack.IsEmpty)
+            for (var i = 1; i < words.Length; i++)
             {
                 result[position] = 32;
                 position++;
 
-                currentStack = currentStack.Pop(out currentWord);
+                currentWord = words[i];
                 Buffer.BlockCopy(currentWord, 0, result, position, currentWord.Length);
                 position += currentWord.Length;
             }

WhiteRabbit/WhiteRabbit.csproj

@@ -60,6 +60,7 @@
   </ItemGroup>
   <ItemGroup>
     <Compile Include="ByteArrayEqualityComparer.cs" />
+    <Compile Include="Flattener.cs" />
     <Compile Include="PrecomputedPermutationsGenerator.cs" />
     <Compile Include="PermutationsGenerator.cs" />
     <Compile Include="StringsProcessor.cs" />