Another update from ingydotnet^djgoku
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7604 changed files with 108452 additions and 22726 deletions
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// Monadic bind (chain) for lists
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function chain(xs, f) {
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return [].concat.apply([], xs.map(f));
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}
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// [m..n]
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function range(m, n) {
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return Array.apply(null, Array(n - m + 1)).map(function (x, i) {
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return m + i;
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});
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}
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function factors_naive(n) {
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return chain( range(1, n), function (x) { // monadic chain/bind
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return n % x ? [] : [x]; // monadic fail or inject/return
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});
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}
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factors_naive(6)
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[1, 2, 3, 6]
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console.log(
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(function (lstTest) {
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// INTEGER FACTORS
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function integerFactors(n) {
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var rRoot = Math.sqrt(n),
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intRoot = Math.floor(rRoot),
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lows = range(1, intRoot).filter(function (x) {
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return (n % x) === 0;
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});
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// for perfect squares, we can drop the head of the 'highs' list
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return lows.concat(lows.map(function (x) {
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return n / x;
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}).reverse().slice((rRoot === intRoot) | 0));
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}
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// [m .. n]
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function range(m, n) {
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return Array.apply(null, Array(n - m + 1)).map(function (x, i) {
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return m + i;
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});
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}
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/*************************** TESTING *****************************/
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// TABULATION OF RESULTS IN SPACED AND ALIGNED COLUMNS
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function alignedTable(lstRows, lngPad, fnAligned) {
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var lstColWidths = range(0, lstRows.reduce(function (a, x) {
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return x.length > a ? x.length : a;
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}, 0) - 1).map(function (iCol) {
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return lstRows.reduce(function (a, lst) {
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var w = lst[iCol] ? lst[iCol].toString().length : 0;
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return (w > a) ? w : a;
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}, 0);
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});
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return lstRows.map(function (lstRow) {
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return lstRow.map(function (v, i) {
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return fnAligned(v, lstColWidths[i] + lngPad);
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}).join('')
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}).join('\n');
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}
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function alignRight(n, lngWidth) {
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var s = n.toString();
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return Array(lngWidth - s.length + 1).join(' ') + s;
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}
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// TEST
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return '\nintegerFactors(n)\n\n' + alignedTable(
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lstTest.map(integerFactors).map(function (x, i) {
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return [lstTest[i], '-->'].concat(x);
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}), 2, alignRight
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) + '\n';
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})([25, 45, 53, 64, 100, 102, 120, 12345, 32766, 32767])
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);
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integerFactors(n)
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25 --> 1 5 25
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45 --> 1 3 5 9 15 45
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53 --> 1 53
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64 --> 1 2 4 8 16 32 64
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100 --> 1 2 4 5 10 20 25 50 100
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102 --> 1 2 3 6 17 34 51 102
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120 --> 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120
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12345 --> 1 3 5 15 823 2469 4115 12345
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32766 --> 1 2 3 6 43 86 127 129 254 258 381 762 5461 10922 16383 32766
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32767 --> 1 7 31 151 217 1057 4681 32767
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