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feat: Added expected and maximum number of comparisons

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This commit is contained in:
NunoSempere 2021-11-28 15:33:19 +00:00
parent a15965c9ba
commit 56bab8f861
3 changed files with 67 additions and 30 deletions
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3
.gitignore vendored
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@ -3,6 +3,9 @@
# personal notes
Notes.md
# hacky upload script
lib/pushToMongoManually.js
# convenience old folder
pages/.old/*
pages/.old

40
lib/comparisonView.js
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@ -11,6 +11,7 @@ import { DisplayAsMarkdown } from './displayAsMarkdown'
import { CreateTableWithDistances } from './findPaths'
import { TextAreaForJson } from "./textAreaForJson"
import { pushToMongo } from "./pushToMongo.js"
import { maxMergeSortSteps, expectedNumMergeSortSteps } from "./utils.js"
/* Helpers */
let increasingList = (n) => Array.from(Array(n).keys())
@ -40,10 +41,6 @@ export default function ComparisonView({ listOfElementsForView }) {
// State
let initialListOfElements = listOfElementsForView.map((element, i) => ({ ...element, id: i }))
let initialPosList = increasingList(listOfElementsForView.length) // [0,1,2,3,4]
//let listOfElements = listOfElementsForView.map((element, i) => ({...element, id: i}))
//let list = increasingList(listOfElementsForView.length) // [0,1,2,3,4]
//let initialComparePair = [list[list.length-2], list[list.length-1]]
let initialComparePair = [initialPosList[initialPosList.length - 2], initialPosList[initialPosList.length - 1]]
let initialSliderValue = 1
let initialReasoning = ''
@ -54,6 +51,13 @@ export default function ComparisonView({ listOfElementsForView }) {
let initialShowAdvancedOptions = false
let initialShowComparisons = false
let initialShowChangeDataSet = false
let initialNumSteps = 0;
let maxSteps = maxMergeSortSteps(listOfElementsForView.length)
let expectedSteps = expectedNumMergeSortSteps(listOfElementsForView.length)
//let listOfElements = listOfElementsForView.map((element, i) => ({...element, id: i}))
//let list = increasingList(listOfElementsForView.length) // [0,1,2,3,4]
//let initialComparePair = [list[list.length-2], list[list.length-1]]
const [listOfElements, setListOfElements] = useState(initialListOfElements)
const [posList, setPosList] = useState(initialPosList)
@ -72,6 +76,8 @@ export default function ComparisonView({ listOfElementsForView }) {
let [showAdvancedOptions, changeShowAdvanceOptions] = useState(initialShowAdvancedOptions);
let [showComparisons, changeShowComparisons] = useState(initialShowComparisons);
let [showChangeDataSet, changeshowChangeDataSet] = useState(initialShowChangeDataSet);
let [numSteps, increaseNumSteps] = useState(initialNumSteps);
let restart = (posList) => {
setToComparePair([posList[posList.length - 2], posList[posList.length - 1]])
@ -195,6 +201,7 @@ export default function ComparisonView({ listOfElementsForView }) {
setSliderValue(1)
setReasoning('')
increaseNumSteps(numSteps+1)
if (successStatus) {
let jsObject = nicelyFormatLinks(quantitativeComparisons, listOfElements)
pushToMongo(jsObject)
@ -216,6 +223,7 @@ export default function ComparisonView({ listOfElementsForView }) {
<h1 className="text-6xl font-bold">
Utility Function Extractor
</h1>
<p>{`${numSteps} out of ~${expectedSteps} (max ${maxSteps}) comparisons`}</p>
<div className={`${isListOrdered ? "hidden" : ""}`}>
<div className="flex flex-wrap items-center max-w-4xl sm:w-full mt-10">
@ -237,17 +245,17 @@ export default function ComparisonView({ listOfElementsForView }) {
<label>
{`... is `}
<br />
<input
type="number"
className="text-center text-blueGray-600 bg-white rounded text-lg border-0 shadow outline-none focus:outline-none focus:ring w-8/12 h-10 m-2"
value={sliderValue}
onChange={(event) => {
//console.log(event)
//console.log(event.target.value)
setSliderValue(event.target.value)
}}
<input
type="number"
className="text-center text-blueGray-600 bg-white rounded text-lg border-0 shadow outline-none focus:outline-none focus:ring w-8/12 h-10 m-2"
value={sliderValue}
onChange={(event) => {
//console.log(event)
//console.log(event.target.value)
setSliderValue(event.target.value)
}}
/>
/>
<br />
{`times as valuable as ...`}
</label>
@ -279,8 +287,8 @@ export default function ComparisonView({ listOfElementsForView }) {
<label className="">
Reasoning (optional):
<textarea className="mt-2 px-3 py-4 placeholder-blueGray-300 text-blueGray-600 relative bg-white bg-white rounded text-base border-0 shadow outline-none focus:outline-none focus:ring w-full"
value={reasoning}
onChange={(event) => setReasoning(event.target.value)}
value={reasoning}
onChange={(event) => setReasoning(event.target.value)}
/>
</label>
<br />

54
lib/utils.js
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@ -8,37 +8,63 @@ export const transformSliderValueToPracticalValue = id
export const _transformSliderValueToActualValue = value => 10 ** value //>= 2 ? Math.round(10 ** value) : Math.round(10 * 10 ** value) / 10
export const toLocale = x => Number(x).toLocaleString()
export const truncateValueForDisplay = value => {
if(value > 10){
if (value > 10) {
return Number(Math.round(value).toPrecision(2))
}else if(value > 1){
} else if (value > 1) {
return Math.round(value * 10) / 10
} else if(value < 1){
} else if (value < 1) {
}
}
export const _transformSliderValueToPracticalValue = value => truncateValueForDisplay(transformSliderValueToActualValue(value))
export function numToAlphabeticalString(num){
export function numToAlphabeticalString(num) {
// https://stackoverflow.com/questions/45787459/convert-number-to-alphabet-string-javascript/45787487
num=num+1
num = num + 1
var s = '', t;
while (num > 0) {
t = (num - 1) % 26;
s = String.fromCharCode(65 + t) + s;
num = (num - t)/26 | 0;
num = (num - t) / 26 | 0;
}
return `#${s}` || undefined;
}
export function formatLargeOrSmall (num) {
if(num > 1){
export function formatLargeOrSmall(num) {
if (num > 1) {
return toLocale(truncateValueForDisplay(num))
}else if(num > 0){
return num.toFixed(-Math.floor(Math.log(num)/Math.log(10))+1);
}else if(num < -1){
return num.toFixed(-Math.floor(Math.log(-num)/Math.log(10))+1);
}else{
} else if (num > 0) {
return num.toFixed(-Math.floor(Math.log(num) / Math.log(10)) + 1);
} else if (num < -1) {
return num.toFixed(-Math.floor(Math.log(-num) / Math.log(10)) + 1);
} else {
return toLocale(num)//return "~0"
}
}
const firstFewMaxMergeSortSequence = [0, 0, 1, 3, 5, 8, 11, 14, 17, 21, 25, 29, 33, 37, 41, 45, 49, 54, 59, 64, 69, 74, 79, 84, 89, 94, 99, 104, 109, 114, 119, 124, 129, 135, 141, 147, 153, 159, 165, 171, 177, 183, 189, 195, 201, 207, 213, 219, 225, 231, 237, 243, 249, 255, 261, 267, 273, 279, 285]
export function maxMergeSortSteps(n) {
if (n < firstFewMaxMergeSortSequence.length) {
return firstFewMaxMergeSortSequence[n]
} else {
return maxMergeSortSteps(Math.floor(n / 2)) + maxMergeSortSteps(Math.ceil(n / 2)) + n - 1
}
}
export function expectedNumMergeSortSteps(n) {
// https://cs.stackexchange.com/questions/82862/expected-number-of-comparisons-in-a-merge-step
// n-2 for each step, so (n-2) + (n-2)/2 + (n-2)/4 + ...
// ~ 2*(n-2) -1 = 2*n - 3
if (n == 0) {
return 0
} else if (n == 1) {
return 0
} else if (n == 2) {
return 1
} else if (n == 3) {
return 2
} else {
return Math.ceil((n ** 2) / (n + 2)) + expectedNumMergeSortSteps(Math.ceil(n / 2))
}
}