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JavaScript/String/DiceCoefficient.js at master · sobitd/JavaScript · GitHub
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String
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DiceCoefficient.js
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DiceCoefficient.js
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/* The Sørensen–Dice coefficient is a statistic used to gauge the similarity of two samples.
* Applied to strings, it can give you a value between 0 and 1 (included) which tells you how similar they are.
* Dice coefficient is calculated by comparing the bigrams of both strings,
* a bigram is a substring of the string of length 2.
* read more: https://en.wikipedia.org/wiki/S%C3%B8rensen%E2%80%93Dice_coefficient
*/
// Time complexity: O(m + n), m and n being the sizes of string A and string B
// Find the bistrings of a string and return a hashmap (key => bistring, value => count)
function
mapBigrams
(
string
)
{
const
bigrams
=
new
Map
(
)
for
(
let
i
=
0
;
i
<
string
.
length
-
1
;
i
++
)
{
const
bigram
=
string
.
substring
(
i
,
i
+
2
)
const
count
=
bigrams
.
get
(
bigram
)
bigrams
.
set
(
bigram
,
(
count
||
0
)
+
1
)
}
return
bigrams
}
// Calculate the number of common bigrams between a map of bigrams and a string
function
countCommonBigrams
(
bigrams
,
string
)
{
let
count
=
0
for
(
let
i
=
0
;
i
<
string
.
length
-
1
;
i
++
)
{
const
bigram
=
string
.
substring
(
i
,
i
+
2
)
if
(
bigrams
.
has
(
bigram
)
)
count
++
}
return
count
}
// Calculate Dice coeff of 2 strings
function
diceCoefficient
(
stringA
,
stringB
)
{
if
(
stringA
===
stringB
)
return
1
else
if
(
stringA
.
length
<
2
||
stringB
.
length
<
2
)
return
0
const
bigramsA
=
mapBigrams
(
stringA
)
const
lengthA
=
stringA
.
length
-
1
const
lengthB
=
stringB
.
length
-
1
let
dice
=
(
2
*
countCommonBigrams
(
bigramsA
,
stringB
)
)
/
(
lengthA
+
lengthB
)
// cut 0.xxxxxx to 0.xx for simplicity
dice
=
Math
.
floor
(
dice
*
100
)
/
100
return
dice
}
export
{
diceCoefficient
}
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