Created
October 25, 2019 18:17
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detects if value belongs to set of intervals and tells you to which one.
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/* | |
* Y-Combinator | |
*/ | |
const Y = fn => | |
( m => (...args) => fn(m(m))(...args)) | |
( m => (...args) => fn(m(m))(...args)); | |
/* | |
* Creates function that resolves if given value belongs | |
* inside any given interval | |
*/ | |
const match = intervals => { | |
/* | |
* transform intervals to pairs | |
* input notation of intervals: | |
* [ [[[0,1], 2, [5,6]], 'I_1'] | |
* , [[...], 'I_2'] | |
* ] | |
* transforms to sorted pairs: | |
* [ [[0,1], 'I_1'] | |
* , [[2,2], 'I_1'] | |
* , [[5,6], 'I_1'] | |
* , [[...], 'I_2'] | |
* ] | |
*/ | |
const pairs = intervals.map(i => [ i[0].map(i => typeof i !== 'object' && [i, i] || [...i]) | |
, i[1] | |
]) | |
.reduce((acc, pair) => acc.concat(pair[0].map(i => [i, pair[1]])), []) | |
.sort((a, b) => a[0][0] <= b[0][0] && -1 || 1) | |
/* | |
* Build binary interval tree from pairs | |
*/ | |
const tree = Y(self => (pairs, l, r) => | |
( m => | |
((i, p) => | |
(c => ({ value: pairs[i][0][p] | |
, eq: c | |
, lt: !(l^m) ? ( p ? { in: c } : null ) | |
: self(pairs, l, m - 1) | |
, gt: !(m^r) ? ( !p ? { in: c } : null ) | |
: self(pairs, m + 1, r) | |
}) | |
)(pairs[i][1]) | |
)(m>>>1, m&1) | |
)(((r - l)>>>1) + l) | |
)(pairs, 0, (pairs.length<<1) - 1); | |
/* | |
* walking tree to match interval | |
*/ | |
const match = Y(self => (node, value) => | |
!!node && (node.hasOwnProperty("in") | |
? node.in | |
: !(value ^ node.value) | |
? node.eq | |
: value < node.value | |
? self(node.lt, value) | |
: self(node.gt, value))) | |
return value => match(tree, value); | |
}; | |
// test | |
// const testin = match([[0,1],[2,3], [4,5], 6,7,8], 'inside']); | |
// testin(0); // 'inside' | |
// testin(10); // false |
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