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View Code? Open in Web Editor NEWSeveral edit distances algorithms implemented in Pharo
License: MIT License
Several edit distances algorithms implemented in Pharo
License: MIT License
Note there are 3 versions: tau-a, tau-b and tau-c
Scipy reference: https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.kendalltau.html#scipy.stats.kendalltau
Minkowski Distance is the generalization of both Manhattan and Euclidean distance. Euclidean is the Minkowski distance to the power of 2 and Manhattan to the power of 1
The method Array>>#levenshteinDistanceTo:
is never called by any test. Only the ones that are called are the levenshtein methods defined in String
class.
Now the tests are kind of unreadable. Maybe it is better to move the all the tests of one distance to a class.
Original algorithm documentation: https://web.archive.org/web/20090510012823/http://ling.ohio-state.edu/~cbrew/795M/string-distance.html
Not to be confused with the Jaro distance which is a special case of the Jaro-Winkler distance with p = 0.
This is the original author implementation:
/* strcmp95.c Version 2 */
/* The strcmp95 function returns a double precision value from 0.0 (total
disagreement) to 1.0 (character-by-character agreement). The returned
value is a measure of the similarity of the two strings. */
/* Date of Release: Jan. 26, 1994 */
/* Modified: April 24, 1994 Corrected the processing of the single length
character strings.
Authors: This function was written using the logic from code written by
Bill Winkler, George McLaughlin and Matt Jaro with modifications
by Maureen Lynch.
Comment: This is the official string comparator to be used for matching
during the 1995 Test Census. */
#include <ctype.h>
#include <string.h>
#define NOTNUM(c) ((c>57) || (c<48))
#define INRANGE(c) ((c>0) && (c<91))
#define MAX_VAR_SIZE 61
#define NULL60 " "
double strcmp95(char *ying, char *yang, long y_length, int *ind_c[])
{
/* Arguments:
ying and yang are pointers to the 2 strings to be compared. The strings
need not be NUL-terminated strings because the length is passed.
y_length is the length of the strings.
ind_c is an array that is used to define whether certain options should be
activated. A nonzero value indicates the option is deactivated.
The options are:
ind_c[0] Increase the probability of a match when the number of matched
characters is large. This option allows for a little more
tolerance when the strings are large. It is not an appropriate
test when comparing fixed length fields such as phone and
social security numbers.
ind_c[1] All lower case characters are converted to upper case prior
to the comparison. Disabling this feature means that the lower
case string "code" will not be recognized as the same as the
upper case string "CODE". Also, the adjustment for similar
characters section only applies to uppercase characters.
The suggested values are all zeros for character strings such as names. */
static int pass=0, adjwt[91][91];
static char sp[39][2] =
{'A','E', 'A','I', 'A','O', 'A','U', 'B','V', 'E','I', 'E','O', 'E','U',
'I','O', 'I','U', 'O','U', 'I','Y', 'E','Y', 'C','G', 'E','F',
'W','U', 'W','V', 'X','K', 'S','Z', 'X','S', 'Q','C', 'U','V',
'M','N', 'L','I', 'Q','O', 'P','R', 'I','J', '2','Z', '5','S',
'8','B', '1','I', '1','L', '0','O', '0','Q', 'C','K', 'G','J',
'E',' ', 'Y',' ', 'S',' '};
char ying_hold[MAX_VAR_SIZE],
yang_hold[MAX_VAR_SIZE],
ying_flag[MAX_VAR_SIZE],
yang_flag[MAX_VAR_SIZE];
double weight, Num_sim;
long minv, search_range, lowlim, ying_length,
hilim, N_trans, Num_com, yang_length;
int yl1, yi_st, N_simi;
register int i, j, k;
/* Initialize the adjwt array on the first call to the function only.
The adjwt array is used to give partial credit for characters that
may be errors due to known phonetic or character recognition errors.
A typical example is to match the letter "O" with the number "0" */
if (!pass) {
pass++;
for (i=0; i<91; i++) for (j=0; j<91; j++) adjwt[i][j] = 0;
for (i=0; i<36; i++) {
adjwt[sp[i][0]][sp[i][1]] = 3;
adjwt[sp[i][1]][sp[i][0]] = 3;
} }
/* If either string is blank - return - added in Version 2 */
if (!strncmp(ying,NULL60,y_length)) return(0.0);
if (!strncmp(yang,NULL60,y_length)) return(0.0);
/* Identify the strings to be compared by stripping off all leading and
trailing spaces. */
k = y_length - 1;
for(j = 0;((ying[j]==' ') && (j < k));j++);
for(i = k;((ying[i]==' ') && (i > 0));i--);
ying_length = i + 1 - j;
yi_st = j;
for(j = 0;((yang[j]==' ') && (j < k));j++);
for(i = k;((yang[i]==' ') && (i > 0));i--);
yang_length = i + 1 - j;
ying_hold[0]=yang_hold[0]=0;
strncat(ying_hold,&ying[yi_st],ying_length);
strncat(yang_hold,&yang[j],yang_length);
if (ying_length > yang_length) {
search_range = ying_length;
minv = yang_length;
}
else {
search_range = yang_length;
minv = ying_length;
}
/* If either string is blank - return */
/* if (!minv) return(0.0); removed in version 2 */
/* Blank out the flags */
ying_flag[0] = yang_flag[0] = 0;
strncat(ying_flag,NULL60,search_range);
strncat(yang_flag,NULL60,search_range);
search_range = (search_range/2) - 1;
if (search_range < 0) search_range = 0; /* added in version 2 */
/* Convert all lower case characters to upper case. */
if (!ind_c[1]) {
for (i = 0;i < ying_length;i++) if (islower(ying_hold[i])) ying_hold[i] -= 32;
for (j = 0;j < yang_length;j++) if (islower(yang_hold[j])) yang_hold[j] -= 32;
}
/* Looking only within the search range, count and flag the matched pairs. */
Num_com = 0;
yl1 = yang_length - 1;
for (i = 0;i < ying_length;i++) {
lowlim = (i >= search_range) ? i - search_range : 0;
hilim = ((i + search_range) <= yl1) ? (i + search_range) : yl1;
for (j = lowlim;j <= hilim;j++) {
if ((yang_flag[j] != '1') && (yang_hold[j] == ying_hold[i])) {
yang_flag[j] = '1';
ying_flag[i] = '1';
Num_com++;
break;
} } }
/* If no characters in common - return */
if (!Num_com) return(0.0);
/* Count the number of transpositions */
k = N_trans = 0;
for (i = 0;i < ying_length;i++) {
if (ying_flag[i] == '1') {
for (j = k;j < yang_length;j++) {
if (yang_flag[j] == '1') {
k = j + 1;
break;
} }
if (ying_hold[i] != yang_hold[j]) N_trans++;
} }
N_trans = N_trans / 2;
/* adjust for similarities in nonmatched characters */
N_simi = 0;
if (minv > Num_com) {
for (i = 0;i < ying_length;i++) {
if (ying_flag[i] == ' ' && INRANGE(ying_hold[i])) {
for (j = 0;j < yang_length;j++) {
if (yang_flag[j] == ' ' && INRANGE(yang_hold[j])) {
if (adjwt[ying_hold[i]][yang_hold[j]] > 0) {
N_simi += adjwt[ying_hold[i]][yang_hold[j]];
yang_flag[j] = '2';
break;
} } } } } }
Num_sim = ((double) N_simi)/10.0 + Num_com;
/* Main weight computation. */
weight= Num_sim / ((double) ying_length) + Num_sim / ((double) yang_length)
+ ((double) (Num_com - N_trans)) / ((double) Num_com);
weight = weight / 3.0;
/* Continue to boost the weight if the strings are similar */
if (weight > 0.7) {
/* Adjust for having up to the first 4 characters in common */
j = (minv >= 4) ? 4 : minv;
for (i=0;((i<j)&&(ying_hold[i]==yang_hold[i])&&(NOTNUM(ying_hold[i])));i++);
if (i) weight += i * 0.1 * (1.0 - weight);
/* Optionally adjust for long strings. */
/* After agreeing beginning chars, at least two more must agree and
the agreeing characters must be > .5 of remaining characters. */
if ((!ind_c[0]) && (minv>4) && (Num_com>i+1) && (2*Num_com>=minv+i))
if (NOTNUM(ying_hold[0]))
weight += (double) (1.0-weight) *
((double) (Num_com-i-1) / ((double) (ying_length+yang_length-i*2+2)));
}
return(weight);
} /* strcmp95 */
Currently, we have a lot of the logic of the distances as extensions methods.
Like:
AICosineSimilarityDistance>>#distanceBetween:and:
anObject cosineSimilarityDistanceTo: anotherObject
Array>>#cosineSimilarityDistanceTo:
| num size1 size2 |
num := (self * anArray) sum.
size1 := (self * self) sum sqrt.
size2 := (anArray * anArray ) sum sqrt.
^ num / (size1 * size2)
We have to be consistents... Need to discuss further
Also known as "Episode matching".
Allows only insertions, which cost 1.
Example:
MARADONA
M ARADONAS
Resulting distance = 1
Reference implementations: https://stackoverflow.com/questions/18949684/keyboard-distance-in-python
There's an iterative and a recursive implementation of the Levenshtein distance. They both produce the same result. We need to see which one is the most efficient in terms of time execution and remove the other one.
And also put the CI badge in the README
Note there are two versions:
It should work for both numbers and strings
When evaluating without specifying the metric algorithm to use:
#(0 3 4 5) distanceTo: #(7 6 3 -1)
A "Instance of Array class did not understand #defaultDistanceMetric" is raised.
Add the missing method.
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