Rope

C# implementation of a Rope<T> immutable data structure. See the paper Ropes: an Alternative to Strings: h.-j. boehm, r. atkinson and m. plass

A Rope is an immutable sequence built using a b-tree style data structure that is useful for efficiently applying and storing edits, most commonly used with strings, but any list or sequence can be efficiently edited using the Rope data structure.

Where a b-tree has every node in the tree storing a single entry, a rope contains arrays of elements and only subdivides on the edits. The data structure then decides at edit time whether it is optimal to rebalance the tree using the following heuristic: A rope of depth n is considered balanced if its length is at least Fn+2.

Note: This implementation of Rope<T> has a hard-coded upper-bound depth of 46 added to the heuristic from the paper. As this seemed to be optimal for my workloads, your mileage may vary.

License and Acknowledgements

Licensed MIT. Portions of this code are Apache 2.0 License where nominated.

Example Usage

// Converting to a Rope<char> doesn't allocate any strings (simply points to the original memory).
Rope<char> text = "My favourite text".ToRope();

// With Rope<T>, splits don't allocate any new strings either.
IEnumerable<Rope<char>> words = text.Split(' '); 

// Calling ToString() allocates a new string at the time of conversion.
Console.WriteLine(words.First().ToString()); 

// Warning: Concatenating a string to a Rope<char> converts to a string (allocating memory).
string text2 = text + " My second favourite text";

// Better: This makes a new rope out of the other two ropes, no string allocations or copies.
Rope<char> text3 = text + " My second favourite text".ToRope();

// Value-like equivalence.
"test".ToRope() == ("te".ToRope() + "st".ToRope());
"test".ToRope().GetHashCode() == ("te".ToRope() + "st".ToRope()).GetHashCode();

Comparison with .NET Built in Types

A comparison could be drawn between a Rope and a StringBuilder as they use a very similar technique for efficient edits. List{T} is included as a commonly used alternative.

Feature	Rope<T>	StringBuilder	List{T}	ReadOnlyMemory{T}	ImmutableList{T}	ImmutableArray{T}
Supports items of any type	✅	❌	✅	✅	✅	✅
Immutable edits	✅	❌	❌	❌	✅	✅
Thread safe	✅1.	❌	❌	✅1.	✅	✅
Copy free Append (avoid double allocations)	✅	✅	❌	❌	❌	❌
Copy free Insert	✅	✅	❌	❌	❌	❌
Copy free Remove	✅	❌	❌	❌	❌	❌
Copy free split	✅	❌	❌	❌	❌	❌
GC Friendly (No LOH, stays in Gen 0)	✅	❌	❌	✅	❌	✅
Create()	O(1)	O(N)	O(N)	O(1)	O(N)	O(N)
this[]	O(log N)	O(log N)	O(1)	O(1)	O(log N)	O(1)
Add	O(1) 2.	O(log N)	O(1) 3.	O(N) 4.	O(log N)	O(N) 4.
Value-like Equality 5.	✅	❌	❌	❌	❌	❌
More than 2 billion elements (long index)	✅	❌	❌	❌	❌	❌

• ^1. Thread safe as long as initial Array is not modified.
• ^2. Average is case O(1) (amortized). Worst case is O(log N) when a rebalance is required.
• ^3. Average is case O(1) (amortized). Worst case is O(N) when capacity increase is required.
• ^4. Copying to a new instance is required.
• ^5. Structural and reference invariant GetHashCode and Equals comparison.

Performance

Performance - AddRange

Working with a string of length - 32644 characters. - MaxLeafLength = ~32kb, Max Depth = 46

Method	EditCount	Mean	Error	StdDev	Gen0	Gen1	Gen2	Allocated
Rope	10	322.6 ns	1.56 ns	1.30 ns	0.0496	-	-	832 B
StringBuilder	10	20,424.1 ns	46.48 ns	41.20 ns	43.1213	35.2478	-	723272 B
List	10	1,170,757.8 ns	23,156.59 ns	21,660.69 ns	498.0469	498.0469	498.0469	2098128 B
Rope	100	22,060.6 ns	137.07 ns	128.22 ns	2.3499	0.0610	-	39584 B
StringBuilder	100	293,721.1 ns	2,960.33 ns	2,769.09 ns	395.9961	383.7891	-	6640952 B
List	100	9,110,871.4 ns	179,104.14 ns	219,955.97 ns	734.3750	734.3750	734.3750	16781223 B
Rope	500	415,645.5 ns	1,144.69 ns	893.70 ns	41.9922	6.8359	-	702864 B
StringBuilder	500	2,561,640.0 ns	24,520.41 ns	22,936.41 ns	2687.5000	2671.8750	949.2188	32947836 B
List	500	42,869,839.1 ns	831,131.28 ns	1,051,114.95 ns	2916.6667	2916.6667	2916.6667	67126461 B

Performance - AddRange (Immutable Collections)

Method	EditCount	Mean	Error	StdDev	Gen0	Gen1	Gen2	Allocated
Rope	10	356.9 ns	6.63 ns	6.20 ns	0.0496	-	-	832 B
ImmutableList
.Builder	10	7,700,966.8 ns	152,284.06 ns	232,553.85 ns	992.1875	976.5625	-	16633835 B
ImmutableList	10	7,328,406.3 ns	144,002.40 ns	134,699.94 ns	992.1875	976.5625	-	16635411 B
ImmutableArray	10	457,004.7 ns	8,949.78 ns	14,452.23 ns	996.0938	996.0938	996.0938	4335446 B
Rope	100	22,539.8 ns	126.04 ns	117.90 ns	2.3499	0.0610	-	39584 B
ImmutableList
.Builder	100	214,688,974.5 ns	4,289,220.24 ns	8,365,794.66 ns	11000.0000	10500.0000	2000.0000	152739984 B
ImmutableList	100	206,931,377.8 ns	4,000,014.25 ns	3,741,615.81 ns	11000.0000	10666.6667	2000.0000	152768739 B
ImmutableArray	100	102,947,759.8 ns	2,231,458.55 ns	6,544,481.64 ns	24400.0000	24400.0000	24400.0000	338327974 B

Performance - InsertRange

Method	EditCount	Mean	Error	StdDev	Median	Gen0	Gen1	Gen2	Allocated
RopeOfChar	10	1.400 μs	0.0120 μs	0.0094 μs	1.402 μs	0.1774	-	-	2.92 KB
ListOfChar	10	741.599 μs	2.4556 μs	2.0506 μs	741.928 μs	499.0234	499.0234	499.0234	2052.84 KB
StringBuilder	10	18.175 μs	0.1077 μs	0.0955 μs	18.165 μs	43.1213	31.3416	-	706.32 KB
RopeOfChar	100	35.324 μs	0.4283 μs	0.3796 μs	35.221 μs	3.8452	0.0610	-	63.3 KB
ListOfChar	100	10,949.444 μs	217.4859 μs	444.2661 μs	10,756.000 μs	734.3750	734.3750	734.3750	16420.48 KB
StringBuilder	100	315.408 μs	4.5317 μs	4.2390 μs	314.411 μs	395.9961	379.8828	-	6485.3 KB
RopeOfChar	1000	1,900.043 μs	6.0456 μs	5.0484 μs	1,898.135 μs	183.5938	72.2656	-	3022.17 KB
ListOfChar	1000	1,433,052.443 μs	5,397.8058 μs	4,785.0142 μs	1,432,979.650 μs	3000.0000	3000.0000	3000.0000	131361.66 KB
StringBuilder	1000	24,700.136 μs	905.6912 μs	2,670.4509 μs	25,727.847 μs	5406.2500	5375.0000	1625.0000	64277.44 KB

Performance - Split then Concat

Method	EditCount	Mean	Error	StdDev	Gen0	Gen1	Gen2	Allocated
RopeOfChar	10	573.1 ns	4.15 ns	3.88 ns	0.0515	-	-	864 B
StringBuilder	10	17,382.5 ns	347.14 ns	439.02 ns	23.5291	11.7493	-	394912 B
ListOfChar	10	521,531.2 ns	3,077.00 ns	2,727.68 ns	41.0156	41.0156	41.0156	262894 B
RopeOfChar	100	5,517.7 ns	18.94 ns	14.79 ns	0.4807	-	-	8064 B
StringBuilder	100	153,816.0 ns	2,649.38 ns	2,212.35 ns	199.9512	70.5566	-	3357352 B
ListOfChar	100	4,481,838.8 ns	38,092.78 ns	33,768.26 ns	39.0625	39.0625	39.0625	265776 B
RopeOfChar	1000	56,027.3 ns	322.81 ns	286.16 ns	4.7607	-	-	80064 B
StringBuilder	1000	1,519,246.3 ns	30,125.60 ns	41,236.26 ns	1968.7500	498.0469	123.0469	32981794 B
ListOfChar	1000	44,472,061.7 ns	370,549.50 ns	346,612.23 ns	-	-	-	294593 B

Performance - Equals

Method	Length	Mean	Error	StdDev	Allocated
Rope<char>	10	4.640 ns	0.0256 ns	0.0239 ns	-
StringBuilder	10	5.057 ns	0.0254 ns	0.0237 ns	-
string	10	2.124 ns	0.0047 ns	0.0039 ns	-
Rope<char>	100	4.628 ns	0.0272 ns	0.0255 ns	-
StringBuilder	100	6.404 ns	0.0120 ns	0.0112 ns	-
string	100	4.102 ns	0.0201 ns	0.0188 ns	-
Rope<char>	1000	4.611 ns	0.0253 ns	0.0236 ns	-
StringBuilder	1000	27.342 ns	0.1317 ns	0.1232 ns	-
string	1000	28.369 ns	0.1189 ns	0.1112 ns	-
Rope<char>	10000	4.646 ns	0.0172 ns	0.0161 ns	-
StringBuilder	10000	274.231 ns	1.8964 ns	1.7739 ns	-
string	10000	276.374 ns	1.0101 ns	0.8434 ns	-

Performance - IndexOf

Method	Length	Mean	Error	StdDev	Median	Gen0	Allocated
Rope	10	18.62 ns	0.059 ns	0.055 ns	18.62 ns	0.0019	32 B
Rope	100	24.91 ns	0.080 ns	0.075 ns	24.89 ns	0.0019	32 B
Rope	1000	55.89 ns	0.101 ns	0.089 ns	55.89 ns	0.0019	32 B
Rope	10000	83.87 ns	0.109 ns	0.091 ns	83.88 ns	0.0019	32 B
IndexOf	10	61.17 ns	0.285 ns	0.253 ns	61.12 ns	0.0019	32 B
'IndexOf (Fragmented Find)'	10	62.37 ns	1.252 ns	1.391 ns	63.50 ns	0.0019	32 B
IndexOf	100	63.37 ns	0.256 ns	0.227 ns	63.28 ns	0.0019	32 B
'IndexOf (Fragmented Find)'	100	59.36 ns	0.144 ns	0.135 ns	59.33 ns	0.0019	32 B
IndexOf	1000	588.18 ns	1.596 ns	1.493 ns	588.58 ns	0.0191	320 B
'IndexOf (Fragmented Find)'	1000	103.18 ns	0.439 ns	0.411 ns	103.14 ns	0.0114	192 B
IndexOf	10000	1,158.36 ns	2.464 ns	2.305 ns	1,157.89 ns	0.0629	1056 B
'IndexOf (Fragmented Find)'	10000	2,245.40 ns	28.287 ns	26.460 ns	2,234.64 ns	0.0763	1328 B
String	10	17.85 ns	0.285 ns	0.253 ns	17.77 ns	0.0029	48 B
String	100	3,933.89 ns	62.442 ns	55.353 ns	3,922.67 ns	0.0076	224 B
String	1000	23,674.90 ns	205.594 ns	192.313 ns	23,758.94 ns	0.0916	2024 B
String	10000	36,379.40 ns	435.649 ns	407.506 ns	36,422.10 ns	1.1597	20024 B

Performance - Create New

Method	Mean	Error	StdDev	Median	Gen0	Allocated
Rope<char>.Empty	0.0003 ns	0.0006 ns	0.0005 ns	0.0000 ns	-	-
'new List<char>()'	2.2120 ns	0.0305 ns	0.0255 ns	2.2146 ns	0.0019	32 B
'new StringBuilder()'	6.5696 ns	0.1487 ns	0.1712 ns	6.6044 ns	0.0062	104 B

Method	Mean	Error	StdDev	Gen0	Allocated
string.ToRope()	5.815 ns	0.1009 ns	0.0943 ns	0.0019	32 B
'new Rope<char>(array)'	5.430 ns	0.0174 ns	0.0154 ns	0.0019	32 B
'new List<char>(array)'	16.955 ns	0.1281 ns	0.1135 ns	0.0048	80 B
'new StringBuilder(string)'	8.575 ns	0.0361 ns	0.0338 ns	0.0062	104 B