diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml index 34a5cb9..46d985f 100644 --- a/.github/workflows/build.yml +++ b/.github/workflows/build.yml @@ -70,6 +70,12 @@ jobs: - name: clusterFilter Build run: npx vite build working-directory: clusterFilter + - name: collatzConjecture Install dependencies + run: npm install + working-directory: collatzConjecture + - name: collatzConjecture Build + run: npx vite build + working-directory: collatzConjecture - name: Move index run: cp index.html dist/ - name: Move overview images diff --git a/clusterFilter/package-lock.json b/clusterFilter/package-lock.json index e95010c..a4ac79d 100644 --- a/clusterFilter/package-lock.json +++ b/clusterFilter/package-lock.json @@ -1,11 +1,11 @@ { - "name": "circleBs", + "name": "clusterFilter", "version": "1.0.0", "lockfileVersion": 3, "requires": true, "packages": { "": { - "name": "circleBs", + "name": "clusterFilter", "version": "1.0.0", "license": "MIT", "dependencies": { @@ -19,262 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"collatzConjecture", + "version": "1.0.0", + "description": "", + "private": true, + "type": "module", + "main": "index.js", + "scripts": { + "test": "echo \"Error: no test specified\" && exit 1" + }, + "author": "", + "license": "MIT", + "dependencies": { + "canvas-common": "file:../canvas-common" + }, + "devDependencies": { + "vite": "^5.1.5" + } +} diff --git a/collatzConjecture/src/index.html b/collatzConjecture/src/index.html new file mode 100644 index 0000000..0738eac --- /dev/null +++ b/collatzConjecture/src/index.html @@ -0,0 +1,60 @@ + + + + + + collatzConjecture + + + + + + + + + + + + + + + + + + + +
+Explanation of first and second number: +The typical conjecture is in the form of: 3n + 1 with the property of dividing by two if odd etc.... (Explanation here).
The 'firstNumber' is the 2 in the formula and the 'secondNumber' the 3. +Beware of ... interesting outcomes as this can cause the created tree to become very large... often too much for the browser. +
+ + Height: + + Spread: + + Firstnumber: + + Secondnumber: + + +
+Download +
+ + + + + diff --git a/collatzConjecture/src/js/main.js b/collatzConjecture/src/js/main.js new file mode 100644 index 0000000..ede10f2 --- /dev/null +++ b/collatzConjecture/src/js/main.js @@ -0,0 +1,242 @@ +import { + docReady, d2h, toRad, downloadCanvasWithoutButton +} from "canvas-common"; + + + +var ctx = {}; +var canvas = {}; + +var used = {}; +var colors = []; +var collatzTree; + +var heightChange; +var sizeInput; +var spreadInput; +var heightValue; +var spreadValue; +var firstValue; +var secondValue; + +var startCol = {r: 0, g: 0, b: 0}; +var finalCol = {r: 0, g: 0, b: 0}; +var colorPoints = []; + +function setToPinkishColors() { + colorPoints.push({r: 38, g: 17, b: 43}); + colorPoints.push({r: 86, g: 37, b: 81}); + colorPoints.push({r: 132, g: 60, b: 107}); + colorPoints.push({r: 171, g: 88, b: 126}); + colorPoints.push({r: 202, g: 122, b: 142}); + colorPoints.push({r: 224, g: 159, b: 161}); + colorPoints.push({r: 238, g: 198, b: 189}); + colorPoints.push({r: 249, g: 237, b: 229}); + finalCol = colorPoints[colorPoints.length - 1]; +} + + +var config = { + size: { + size: 1500 + }, + conjectureConfig: { + firstNumber: 2, + secondNumber: 3, + maxDepth: 30, + heightChange: 25, + dirChange: 10 + } +}; + + +function buildStructure(input, depth) { + if (depth > config.conjectureConfig.maxDepth) return undefined; + if (input in used) { + return undefined + } + depth++; + used[input] = 1; + var element = {}; + element.num = input; + var child1 = buildStructure(input * config.conjectureConfig.firstNumber, depth); + var child2 = undefined; + var inputSmaller = input - 1; + var probableNumber = (inputSmaller) / config.conjectureConfig.secondNumber; + if ((inputSmaller) % config.conjectureConfig.secondNumber == 0 && (probableNumber % config.conjectureConfig.firstNumber != 0)) { + child2 = buildStructure(probableNumber, depth); + } + element.child1 = child1; + element.child2 = child2; + return element; +} + +function setNewHeightChange(newValue) { + config.conjectureConfig.heightChange = parseInt(newValue); + heightValue.innerText = config.conjectureConfig.heightChange; + updateCanvas(); +} + +function setNewSpread(newValue) { + config.conjectureConfig.dirChange = parseInt(newValue); + spreadValue.innerText = config.conjectureConfig.dirChange; + updateCanvas(); +} + +// TODO fix with different amount of colors +function drawElement(input, dir, parentPos, depth) { + if (depth >= config.conjectureConfig.maxDepth || input in used) return; + //console.log('__________________') + ctx.beginPath(); + ctx.moveTo(parentPos.x, parentPos.y); + var numberOfStepsEachColor = Math.round(config.conjectureConfig.maxDepth / colorPoints.length); + // often... this returns a higher color, but the ratio is still in above 0.5, so the color changes drastically + var whereToMoveColorWise = (~~((depth) / config.conjectureConfig.maxDepth * 0.995 * colorPoints.length) + 1); + var ratio = (depth % (numberOfStepsEachColor)) / ((numberOfStepsEachColor)); + // sometimes a color to high is chosen with a high ratio, this causes the color change to be wrong (and very drastic) + // we need to go a step back + if (ratio >= 1) { + whereToMoveColorWise--; + } + else if (ratio > 0.5) { + whereToMoveColorWise = (~~((depth - 1) / config.conjectureConfig.maxDepth * 0.995 * colorPoints.length) + 1); + } + + var targetColor = colorPoints[whereToMoveColorWise]; + if (whereToMoveColorWise == colorPoints.length) { + targetColor = finalCol; + } + var whereWeComeColorWise = whereToMoveColorWise - 1; + //console.log(whereWeComeColorWise + '_' + whereToMoveColorWise) + //console.log(depth + '_' + numberOfStepsEachColor) + //console.log(ratio + '_' + depth / config.conjectureConfig.maxDepth) + + var baseColor = colorPoints[whereWeComeColorWise]; + var newColor = { + r: targetColor.r * ratio + baseColor.r * (1 - ratio), + g: targetColor.g * ratio + baseColor.g * (1 - ratio), + b: targetColor.b * ratio + baseColor.b * (1 - ratio) + }; + ctx.strokeStyle = '#' + d2h(~~newColor.r) + d2h(~~newColor.g) + d2h(~~newColor.b); + var newXOffset = config.conjectureConfig.heightChange * Math.cos(toRad(dir)); + //console.log(ctx.strokeStyle) + //console.log(newColor) + //console.log(baseColor) + //console.log(targetColor) + var newYOffset = config.conjectureConfig.heightChange * Math.sin(toRad(dir)); + //ctx.fillText((ctx.strokeStyle) + ' ', parentPos.x, parentPos.y); + ctx.lineTo(parentPos.x + newXOffset, parentPos.y + newYOffset); + ctx.stroke(); + // experiment to use two parallel lines represented in the video, doesn't work that well, because the line can cross the other line and then... stuff happens + // also lines overlay each other + //ctx.strokeStyle = colors[depth + 1]; + //ctx.moveTo(parentPos.x - Math.cos(toRad(90 - dir)) * config.width / 2, parentPos.y - Math.sin(toRad(90 - dir)) * config.width / 2); + //ctx.lineTo(parentPos.x + config.heightChange * Math.cos(toRad(dir)) - Math.cos(toRad(90 - dir)) * config.width / 2, + // parentPos.y + config.heightChange * Math.sin(toRad(dir)) - Math.sin(toRad(90 - dir)) * config.width / 2); + // + //ctx.moveTo(parentPos.x + Math.cos(toRad(90 - dir)) * config.width / 2, parentPos.y + Math.sin(toRad(90 - dir)) * config.width / 2); + //ctx.lineTo(parentPos.x + config.heightChange * Math.cos(toRad(dir)) + Math.cos(toRad(90 - dir)) * config.width / 2, + // parentPos.y + config.heightChange * Math.sin(toRad(dir)) + Math.sin(toRad(90 - dir)) * config.width / 2); + //ctx.stroke(); + var newParentPos = { + x: parentPos.x + newXOffset, + y: parentPos.y + newYOffset + }; + depth++; + used[input] = 1; + drawElement(input * config.conjectureConfig.firstNumber, dir + config.conjectureConfig.dirChange, newParentPos, depth); + var inputSmaller = input - 1; + var probableNumber = (inputSmaller) / config.conjectureConfig.secondNumber; + if ((inputSmaller) % config.conjectureConfig.secondNumber == 0 && (probableNumber % config.conjectureConfig.firstNumber != 0)) { + drawElement(probableNumber, dir - config.conjectureConfig.dirChange, newParentPos, depth); + } + else { + ctx.stroke(); + } +} + +function generateColors() { + colors = []; + colorPoints = []; + colorPoints.push(startCol); + var maxInc = (255 / config.conjectureConfig.maxDepth); + for (var i = 0; i < 3; i++) { + var red = ~~(Math.random() * 255); + var green = ~~(Math.random() * 255); + var blue = ~~(Math.random() * 255); + //colors.push('#' + (red).toString(16) + (green).toString(16) + (blue).toString(16)); + colorPoints.push({r: red, g: green, b: blue}); + } +} + +function updateCanvasConfig(newValue) { + config.size.size = parseInt(newValue); + initCanvas(); + updateCanvas(); +} + +function updateCanvas() { + used = {}; + ctx.clearRect(0, 0, config.size.size, config.size.size); + drawElement(1, -180, config.size, 0); +} + +function setNewFirstNumber(newVal) { + config.conjectureConfig.firstNumber = parseInt(newVal); + firstValue.innerText = config.conjectureConfig.firstNumber; + updateCanvas(); +} + +function setNewSecondNumber(newVal) { + config.conjectureConfig.secondNumber = parseInt(newVal); + secondValue.innerText = config.conjectureConfig.secondNumber; + updateCanvas(); +} + +function initCanvas() { + ctx = canvas.getContext("2d"); + canvas.height = config.size.size; + canvas.width = config.size.size; + config.size.x = config.size.size / 2; + config.size.y = config.size.size / 2; +} +docReady(function () { + canvas = document.getElementById('canvas'); + initCanvas(); + + ctx.font = "8px Verdana"; + ctx.lineWidth = 1; + sizeInput = document.getElementById('size'); + heightChange = document.getElementById('heightChange'); + spreadInput = document.getElementById('spread'); + + heightValue = document.getElementById('heightValue'); + heightValue.innerText = config.conjectureConfig.heightChange; + spreadValue = document.getElementById('spreadValue'); + spreadValue.innerText = config.conjectureConfig.dirChange; + firstValue = document.getElementById('firstValue'); + firstValue.innerText = config.conjectureConfig.firstNumber; + secondValue = document.getElementById('secondValue'); + secondValue.innerText = config.conjectureConfig.secondNumber; + + sizeInput.value = config.size.size; + spreadInput.value =config.conjectureConfig.dirChange; + heightChange.value = config.conjectureConfig.heightChange; + setToPinkishColors(); + //generateColors(); + drawElement(1, -180, config.size, 0); + //initStructure(); +}); + +function downloadCanvasCollatz() { + downloadCanvasWithoutButton('collatzConjecture', canvas); +} + +window.setNewHeightChange = setNewHeightChange; +window.setNewSpread = setNewSpread; +window.setNewFirstNumber = setNewFirstNumber; +window.setNewSecondNumber = setNewSecondNumber; +window.updateCanvasConfig = updateCanvasConfig; +window.generateColors = generateColors; +window.updateCanvas = updateCanvas; +window.downloadCanvasCommon = downloadCanvasCollatz; \ No newline at end of file diff --git a/collatzConjecture/src/js/plugins.js b/collatzConjecture/src/js/plugins.js new file mode 100644 index 0000000..f887480 --- /dev/null +++ b/collatzConjecture/src/js/plugins.js @@ -0,0 +1,24 @@ +// Avoid `console` errors in browsers that lack a console. +(function() { + var method; + var noop = function () {}; + var methods = [ + 'assert', 'clear', 'count', 'debug', 'dir', 'dirxml', 'error', + 'exception', 'group', 'groupCollapsed', 'groupEnd', 'info', 'log', + 'markTimeline', 'profile', 'profileEnd', 'table', 'time', 'timeEnd', + 'timeline', 'timelineEnd', 'timeStamp', 'trace', 'warn' + ]; + var length = methods.length; + var console = (window.console = window.console || {}); + + while (length--) { + method = methods[length]; + + // Only stub undefined methods. + if (!console[method]) { + console[method] = noop; + } + } +}()); + +// Place any jQuery/helper plugins in here. diff --git a/collatzConjecture/vite.config.js b/collatzConjecture/vite.config.js new file mode 100644 index 0000000..5e585fd --- /dev/null +++ b/collatzConjecture/vite.config.js @@ -0,0 +1,9 @@ +import { defineConfig } from 'vite' + +export default defineConfig({ + base: './', + root: 'src', + build: { + outDir: '../../dist/collatzConjecture' + } +}) diff --git a/img/collatzConjecture.png b/img/collatzConjecture.png new file mode 100644 index 0000000..e37706a Binary files /dev/null and b/img/collatzConjecture.png differ diff --git a/index.html b/index.html index 6110262..b83146a 100644 --- a/index.html +++ b/index.html @@ -16,5 +16,6 @@ Bubbles circleBs clusterFilter + collatzConjecture \ No newline at end of file