V2, with qualitative comparisons. I still don't induce the utility function at the end, but I do have the data to do so

lib/slider.js

@@ -0,0 +1,124 @@
+/* Imports */
+import { Slider, Rail, Handles, Tracks, Ticks } from "react-compound-slider";
+import React, { useState } from 'react';
+// https://sghall.github.io/react-compound-slider/#/getting-started/tutorial
+
+/* Definitions */
+
+const sliderStyle = {  // Give the slider some width
+  position: 'relative',
+  width: '40em',
+  height: 40,
+  border: '5em',
+}
+
+const railStyle = {
+  position: 'absolute',
+  width: '100%',
+  height: 15,
+  marginTop: 30,
+  borderRadius: 5,
+  backgroundColor: 'lightgrey',
+}
+
+/* Support functions */
+function Handle({
+  handle: { id, value, percent },
+  getHandleProps,
+  displayFunction,
+  handleWidth
+}) {
+
+  return (
+    <>
+      <div className="justify-center text-center text-gray-600 text-xs">
+        {displayFunction(value)}
+      </div>
+      <div
+        style={{
+          left: `${percent}%`,
+          position: 'absolute',
+          marginLeft: -10,
+          marginTop: 0,
+          zIndex: 2,
+          width: 30,
+          height: 30,
+          cursor: 'pointer',
+          borderRadius: '50%',
+          backgroundColor: '#374151',
+          color: '#374151',
+        }}
+        {...getHandleProps(id)}
+      >
+      </div>
+    </>
+  )
+}
+
+function Track({ source, target, getTrackProps }) {
+  return (
+    <div
+      style={{
+        position: 'absolute',
+        height: 15,
+        zIndex: 1,
+        marginTop: 7,
+        backgroundColor: ' #3B82F6',
+        borderRadius: 5,
+        cursor: 'pointer',
+        left: `${source.percent}%`,
+        width: `${target.percent - source.percent}%`,
+      }}
+      {...getTrackProps() /* this will set up events if you want it to be clickeable (optional) */}
+    />
+  )
+}
+
+/* Body */
+// Two functions, essentially identical. 
+export function SliderElement({ onChange, value, displayFunction }) {
+
+  return (
+    <Slider
+      rootStyle={sliderStyle /* inline styles for the outer div. Can also use className prop. */}
+      domain={[-3,3]}
+      values={[value]}
+      onChange={onChange}
+    >
+      <Rail>
+        {({ getRailProps }) => (
+          <div style={railStyle} {...getRailProps()} />
+        )}
+      </Rail>
+      <Handles>
+        {({ handles, getHandleProps }) => (
+          <div className="slider-handles">
+            {handles.map(handle => (
+              <Handle
+                key={handle.id}
+                handle={handle}
+                getHandleProps={getHandleProps}
+                displayFunction={displayFunction}
+                handleWidth={"15em"}
+              />
+            ))}
+          </div>
+        )}
+      </Handles>
+      <Tracks right={false}>
+        {({ tracks, getTrackProps }) => (
+          <div className="slider-tracks">
+            {tracks.map(({ id, source, target }) => (
+              <Track
+                key={id}
+                source={source}
+                target={target}
+                getTrackProps={getTrackProps}
+              />
+            ))}
+          </div>
+        )}
+      </Tracks>
+    </Slider>
+  )
+}

package.json

@@ -1,6 +1,6 @@
 {
-  "name": "with-tailwindcss",
+  "name": "utility-function-extractor",
-  "version": "0.1.0",
+  "version": "0.2.0",
   "private": true,
   "scripts": {
     "dev": "next dev",
@@ -10,6 +10,7 @@
   "dependencies": {
     "next": "latest",
     "react": "^17.0.1",
+    "react-compound-slider": "^3.3.1",
     "react-dom": "^17.0.1"
   },
   "devDependencies": {

pages/index.js

@@ -1,5 +1,6 @@
 import Head from 'next/head'
 import React, { useState } from "react";
+import { SliderElement } from "../lib/slider.js";
 
 // Utilities
 Array.prototype.containsArray = function(val) {
@@ -10,46 +11,65 @@ Array.prototype.containsArray = function(val) {
   return hash.hasOwnProperty(val);
 }
 
-let checkIfListIsOrdered = (arr, comparisons) => {
+let checkIfListIsOrdered = (arr, binaryComparisons) => {
   let l = arr.length
   let isOrdered = true
   for(let i=0; i<l-1; i++){
-    isOrdered = isOrdered && comparisons.containsArray([arr[i], arr[i+1]])
+    isOrdered = isOrdered && binaryComparisons.containsArray([arr[i], arr[i+1]])
   }
   return isOrdered
 }
 
+let simplifySliderValue = value => 10**value >= 3 ? Math.round(10**value) : Math.round(10*10**value)/10
+let displayFunctionSlider = (value) => {
+  let result
+  if(value >= 0){
+    result = simplifySliderValue(value)
+  }else{
+    let inverseresult = simplifySliderValue(-value)
+    result = `1/${inverseresult}`
+  }
+  result = `The first option is ${result}x as valuable as the second one`
+  return result
+
+};
+
 // Main
 export default function Home() {
   // State
   let list = [1,2,3,4,5,6,7,8,9,10]
-  let initialComparisonPair = [9,10]
+  // let initialComparisonPair = [9,10]
-  const [toComparePair, setToComparePair] = useState(initialComparisonPair)
+  const [toComparePair, setToComparePair] = useState([list[list.length-2], list[list.length-1]])
-  const [comparisons, updateComparisons] = useState([])
+  const [binaryComparisons, setBinaryComparisons] = useState([])
+
+  const [sliderValue, setSliderValue] = useState(0)
+  const [quantitativeComparisons, setQuantitativeComparisons] = useState([])
+
   const [isListOrdered, setIsListOrdered]  = useState(false)
   const [orderedList, setOrderedList] = useState(null)
 
+
   // Manipulations
-  let compareTwoElements = (newComparisons, element1, element2) => {
+  let compareTwoElements = (newBinaryComparisons, element1, element2) => {
-    let element1Greater = newComparisons.containsArray([element1, element2])
+    let element1Greater = newBinaryComparisons.containsArray([element1, element2])
-    let element2Greater = newComparisons.containsArray([element2, element1])
+    let element2Greater = newBinaryComparisons.containsArray([element2, element1])
     if(element1Greater || element2Greater){
       return element1Greater && !element2Greater
     } else{
       setToComparePair([element1, element2])
       console.log(`No comparison found between ${element1} and ${element2}`)
       console.log(`Comparisons:`)
-      console.log(JSON.stringify(newComparisons, null, 4));
+      console.log(JSON.stringify(newBinaryComparisons, null, 4));
       return "No comparison found"
     }
   }
 
-  function merge(newComparisons, left, right) {
+  function merge(newBinaryComparisons, left, right) {
     let sortedArr = []; // the sorted elements will go here
   
     while (left.length && right.length) {
       // insert the biggest element to the sortedArr
-      let comparison = compareTwoElements(newComparisons, left[0], right[0])
+      let comparison = compareTwoElements(newBinaryComparisons, left[0], right[0])
       if(comparison ==  "No comparison found"){
         return "No comparison found; unable to proceed"
       }
@@ -64,7 +84,7 @@ export default function Home() {
     return [...sortedArr, ...left, ...right]; // if they don't have the same size, the remaining ones will be greater than the ones before
   }
   
-  function mergeSort(arr, newComparisons) {
+  function mergeSort(arr, newBinaryComparisons) {
     if(arr ==  "No comparison found; unable to proceed"){
       return  "No comparison found; unable to proceed"
     }
@@ -77,10 +97,10 @@ export default function Home() {
   
     const left = arr.splice(0, half); // the first half of the array
     const right = arr;
-    let orderedFirstHalf = mergeSort(left, newComparisons)
+    let orderedFirstHalf = mergeSort(left, newBinaryComparisons)
-    let orderedSecondHalf = mergeSort(right, newComparisons)
+    let orderedSecondHalf = mergeSort(right, newBinaryComparisons)
     if(orderedFirstHalf != "No comparison found; unable to proceed" && orderedSecondHalf != "No comparison found; unable to proceed"){
-      let result = merge(newComparisons, orderedFirstHalf, orderedSecondHalf);
+      let result = merge(newBinaryComparisons, orderedFirstHalf, orderedSecondHalf);
       return result
     }else{
       return  "No comparison found; unable to proceed"
@@ -88,25 +108,40 @@ export default function Home() {
 
   }
 
-  let nextStep = (comparisons, element1, element2) => {
+  let nextStepSimple = (binaryComparisons, element1, element2) => {
-    console.log("Comparisons: ")
+    console.log("Binary comparisons: ")
-    console.log(JSON.stringify(comparisons, null, 4));
+    console.log(JSON.stringify(binaryComparisons, null, 4));
+
     let newComparison = [element1, element2] // [element1, element2]
-    let newComparisons = [...comparisons, newComparison]
+    let newBinaryComparisons = [...binaryComparisons, newComparison]
-    console.log("New comparisons: ")
+    console.log("New binaryComparisons: ")
-    console.log(JSON.stringify(newComparisons, null, 4));
+    console.log(JSON.stringify(newBinaryComparisons, null, 4));
-    updateComparisons(newComparisons)  
+    setBinaryComparisons(newBinaryComparisons)  
-    let result = mergeSort(list, newComparisons)
+    
+    let result = mergeSort(list, newBinaryComparisons)
     console.log(result)
-    console.log(toComparePair)
+    if(result !=  "No comparison found; unable to proceed" && checkIfListIsOrdered(result, newBinaryComparisons)){
-    if(result !=  "No comparison found; unable to proceed" && checkIfListIsOrdered(result, newComparisons)){
-      alert("Order complete")
       console.log(result)
       setIsListOrdered(true)
       setOrderedList(result)
     }
   }
 
+  let nextStepSlider = (binaryComparisons, sliderValue, element1, element2) => {
+    if(sliderValue < 0){
+      sliderValue = -sliderValue;
+      [element1,element2] = [element2,element1]
+    }
+
+    nextStepSimple(binaryComparisons, element1, element2)
+
+    let newQuantitativeComparison = [element1, element2, simplifySliderValue(sliderValue)]
+    let newQuantitativeComparisons = [...quantitativeComparisons, newQuantitativeComparison]
+    setQuantitativeComparisons(newQuantitativeComparisons)
+
+    setSliderValue(0)
+  }
+
   // Html
   return (
     <div className="flex flex-col items-center justify-center min-h-screen py-2">
@@ -117,26 +152,45 @@ export default function Home() {
 
       <main className="flex flex-col items-center justify-center w-full flex-1 px-20 text-center">
         <h1 className="text-6xl font-bold">
-          Hot or not?
+         Utility Function Extractor
         </h1>
 
-        <div className={`flex flex-wrap items-center max-w-4xl mt-6 sm:w-full mt-20 ${isListOrdered? "hidden" : ""}`}>
+        <div className = {`${isListOrdered ? "hidden" : ""}`}>
-            <button 
+          <div className="flex flex-wrap items-center max-w-4xl mt-6 sm:w-full mt-20">
+              <div 
                 className="flex m-auto border-gray-300 border-4 h-64 w-64"
-              onClick={() => nextStep(comparisons, toComparePair[0], toComparePair[1])}
+                //onClick={() => nextStep(binaryComparisons, toComparePair[0], toComparePair[1])}
               >
                 <p className="block m-auto text-center">{toComparePair[0]}</p>
-            </button>
+              </div>
-            <button 
+              <div 
                 className="flex m-auto border-gray-300 border-4 h-64 w-64"
-              onClick={() => nextStep(comparisons, toComparePair[1], toComparePair[0])}
+                //onClick={() => nextStep(binaryComparisons, toComparePair[1], toComparePair[0])}
               >
                 <p className="block m-auto text-center">{toComparePair[1]}</p>
+              </div>
+          </div>
+          <div className={`flex row-start-3 row-end-3  col-start-1 col-end-4 md:col-start-3 md:col-end-3 md:row-start-1 md:row-end-1 lg:col-start-3 lg:col-end-3 lg:row-start-1 lg:row-end-1 items-center justify-center mb-4 mt-10 ${isListOrdered? "hidden" : ""}`}>
+            <SliderElement
+                  className="flex items-center justify-center"
+                  onChange={(event) => (setSliderValue(event[0]))}
+                  value={sliderValue}
+                  displayFunction={displayFunctionSlider}
+                />
+          </div>
+          <button 
+            className="bg-transparent hover:bg-blue-500 text-blue-700 font-semibold hover:text-white py-2 px-4 border border-blue-500 hover:border-transparent rounded mt-5"
+            onClick={() => nextStepSlider(binaryComparisons, sliderValue, toComparePair[1], toComparePair[0])}>
+              Submit
           </button>
         </div>
+        
+
         <div className={`mt-10 ${isListOrdered? "": "hidden" }`}>
           <p>{`Ordered list: ${JSON.stringify(orderedList, null, 4)}`}</p> 
-          <p>{`Comparisons: ${JSON.stringify(comparisons, null, 4)}`}</p> 
+          <p>{`Binary comparisons: ${JSON.stringify(binaryComparisons, null, 4)}`}</p> 
+          <p>{`Quantitative comparisons: ${JSON.stringify(quantitativeComparisons, null, 4)}`}</p> 
+
         </div>
 
       </main>