From d6e7323ec2babde8397053a810d21a9f63afdcac Mon Sep 17 00:00:00 2001 From: Benjamin Kraft Date: Sun, 19 Mar 2023 10:48:39 +0100 Subject: [PATCH] Init --- .gitignore | 2 + project.json | 6 + public/index.html | 18 ++ public/scripts/lib/BenjoLibrary.js | 369 +++++++++++++++++++++++++++++ public/scripts/sketch.js | 63 +++++ public/styles.css | 5 + public/thumbnail.png | Bin 0 -> 59059 bytes 7 files changed, 463 insertions(+) create mode 100644 .gitignore create mode 100644 project.json create mode 100644 public/index.html create mode 100644 public/scripts/lib/BenjoLibrary.js create mode 100644 public/scripts/sketch.js create mode 100644 public/styles.css create mode 100644 public/thumbnail.png diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..c6ef218 --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +.idea + diff --git a/project.json b/project.json new file mode 100644 index 0000000..99f7056 --- /dev/null +++ b/project.json @@ -0,0 +1,6 @@ +{ + "display_name": "Fibonacci", + "info_text": "Standing picture of the Fibonacci sequence", + "visible": false, + "tags": ["Maths"] +} \ No newline at end of file diff --git a/public/index.html b/public/index.html new file mode 100644 index 0000000..df96137 --- /dev/null +++ b/public/index.html @@ -0,0 +1,18 @@ + + + + + + + + + + + + + Fibonacci + + + + + \ No newline at end of file diff --git a/public/scripts/lib/BenjoLibrary.js b/public/scripts/lib/BenjoLibrary.js new file mode 100644 index 0000000..db4b835 --- /dev/null +++ b/public/scripts/lib/BenjoLibrary.js @@ -0,0 +1,369 @@ +var TOP = 1; +var RIGHT = 2 +var BOTTOM = 3; +var LEFT = 4; +var TOP_RIGHT = 5; +var BOTTOM_RIGHT = 6; +var BOTTOM_LEFT = 7; +var TOP_LEFT = 8; + +var wWidth = window.innerWidth; +var wHeight = window.innerHeight; +var oldWHeight; +var oldWWidth; + +function updateVars(){ + oldWWidth = wWidth; + oldWHeight = wHeight; + wWidth = window.innerWidth; + wHeight = window.innerHeight; +} + +function collisionDetection(obj0, obj1){ + + var sp = strokePadding; + if (sp == null) sp = 0; + + if (obj0.isEllipse && obj1.isRectangle){ + + //Ball + var b = obj0; + + //Rectangle + var r = obj1; + + for (var i = 0; i < TWO_PI; i += PI / 32){ + + /* Check every borderpoint of the ball beginning + at the top in clock direction up to top again */ + + // Ball Center X + var bcx = b.x; + + // Ball Center Y + var bcy = b.y; + + // Ball Border X + var bbx = b.x + sin(i) * b.r; + + // Ball Border Y inverted because Y = 0 is the TOP of the screen + var bby = b.y - cos(i) * b.r; + + // Rectangle Width + var rW = r.width + 2 * sp; + + // Rectangle Height + var rH = r.height + 2 * sp; + + // Rectangle Border X + var rX = r.x - sp; + + // Rectangle Border Y + var rY = r.y - sp; + + // Objects touch + if (bbx > rX && bbx < rX + rW + && bby > rY && bby < rY + rH){ + + // STRAIGHT FACES // + + //Top/Bottom touch + if (bcx > rX && bcx < rX + rW){ + + //Top touch + if (b.v.y > 0) return {isTouching: true, location: TOP}; + + //Bottom touch + if (b.v.y < 0) return {isTouching: true, location: BOTTOM}; + } + + //Left/Right touch + if (bcy > rY && bcy < rY + rH){ + + //Left touch + if (b.v.x > 0) return {isTouching: true, location: LEFT}; + + //Right touch + if (b.v.x < 0) return {isTouching: true, location: RIGHT}; + + } + + // CORNERS // + + // BOTTOM Left/Right + if (i > 0 && i <= PI / 2) return {isTouching: true, location: BOTTOM_LEFT}; + + //LEFT Bottom/Top + if (i > PI / 2 && i <= PI) return {isTouching: true, location: TOP_LEFT}; + + //TOP Left/Right + if (i > PI && i <= PI + PI / 2) return {isTouching: true, location: TOP_RIGHT}; + + //RIGHT Bottom/Top + if (i > PI + PI / 2 && i <= TWO_PI) return {isTouching: true, location: BOTTOM_RIGHT}; + } + } + + } + + if (obj0.isEllipse && obj1.isEllipse){ + + //Ball 1 + var b1 = obj0; + + //Ball 2 + var b2 = obj1; + + //Balls are close to each other + if (b1.x + b1.r > b2.x - b2.r + && b1.x - b1.r < b2.x + b2.r + && b1.y + b1.r > b2.y - b2.r + && b1.y - b1.r < b2.y + b2.r){ + + var distance = sqrt(pow(b1.x - b2.x, 2) + pow(b1.y - b2.y, 2)); + + if (distance < b1.r + b2.r) return {isTouching: true}; + } + } + return {isTouching: false, location: 0}; +} + +function performCollision(obj0, obj1, collision){ + if (obj0.isEllipse){ + + var ball = obj0; + + //Ball collides with frameborder + if (obj1.isFrameborder){ + switch (collision.location){ + case BOTTOM: + ball.v.y *= -1; + break; + case LEFT: + case RIGHT: + ball.v.x *= -1; + break; + } + if (testMode && collision.location == TOP) ball.v.y *= -1; + ball.move(); + } + + //Ball collides with any brick + if (obj1.isBrick){ + switch (collision.location){ + case TOP: + case BOTTOM: + ball.v.y *= -1; + ball.move(); + return; + case LEFT: + case RIGHT: + ball.v.x *= -1; + ball.move(); + return; + case TOP_LEFT: + var cornerX = obj1.x; + var cornerY = obj1.y; + break; + case TOP_RIGHT: + var cornerX = obj1.x + obj1.width; + var cornerY = obj1.y; + break; + case BOTTOM_LEFT: + var cornerX = obj1.x; + var cornerY = obj1.y + obj1.height; + break; + case BOTTOM_RIGHT: + var cornerX = obj1.x + obj1.width; + var cornerY = obj1.y + obj1.height; + break; + } + + var nx = ball.x - cornerX; + var ny = ball.y - cornerY; + var length = sqrt(nx * nx + ny * ny); + nx /= length; + ny /= length; + + var projection = ball.v.x * nx + ball.v.y * ny; + ball.v.x = ball.v.x - 2 * projection * nx; + ball.v.y = ball.v.y - 2 * projection * ny; + + ball.move(); + + } + + //Ball collides with paddleboard + if (obj1.isPaddle){ + switch (collision.location){ + case TOP: + case TOP_LEFT: + case TOP_RIGHT: + ball.v.x = ball.calcVelocityX(obj1, ball.v.x); + ball.v.y = -ball.calcVelocityY(); + ball.move(); + return; + case LEFT: + case RIGHT: + ball.v.x *= -1; + ball.move(); + return; + case BOTTOM_LEFT: + var cornerX = obj1.x; + var cornerY = obj1.y + obj1.height; + break; + case BOTTOM_RIGHT: + var cornerX = obj1.x + obj1.width; + var cornerY = obj1.y + obj1.height; + break; + } + var nx = ball.x - cornerX; + var ny = ball.y - cornerY; + var length = sqrt(nx * nx + ny * ny); + nx /= length; + ny /= length; + + var projection = ball.v.x * nx + ball.v.y * ny; + ball.v.x = ball.v.x - 2 * projection * nx; + ball.v.y = ball.v.y - 2 * projection * ny; + + ball.move(); + } + + //Ball collides with other ball + if (obj1.isEllipse){ + + //Ball 1 + var b1 = obj0; + + //Ball 2 + var b2 = obj1; + + //Set mass equal to radius of each ball + b1.mass = b1.r; + b2.mass = b2.r; + + //Colliding angle of ball 1 to ball 2 using arc tan of both x and y differences + var collisionAngle = atan2((b2.y - b1.y), (b2.x - b1.x)); + + //Converting directions of velocity vector of balls into angles + var d1 = atan2(b1.v.y, b1.v.x); + var d2 = atan2(b2.v.y, b2.v.x); + + //Ignoring mass effects new velocites are simply magnitude multiplied with value of angle differences + var newXspeed1 = b1.v.mag * cos(d1 - collisionAngle); + var newYspeed1 = b1.v.mag * sin(d1 - collisionAngle); + var newXspeed2 = b2.v.mag * cos(d2 - collisionAngle); + var newYspeed2 = b2.v.mag * sin(d2 - collisionAngle); + + //According to the principle of linear momentum, kinetic energy stays the same after collision, so velocities are now related to masses + var finalXspeed1 = ((b1.mass - b2.mass) * newXspeed1 + b2.mass * 2 * newXspeed2) / (b1.mass + b2.mass); + var finalYspeed1 = newYspeed1; + var finalXspeed2 = (b1.mass * 2 * newXspeed1 + (b2.mass - b1.mass) * newXspeed2) / (b1.mass + b2.mass); + var finalYspeed2 = newYspeed2; + + //Values of collisionAngle + var cosAngle = cos(collisionAngle); + var sinAngle = sin(collisionAngle); + + //To also keep velocites relative to pure collisionAngle, subtract sin*x from cos*x and add sin*y to cos*y because coordSystem has y = 0 on the top + var u1x = cosAngle * finalXspeed1 - sinAngle * finalYspeed1; + var u1y = sinAngle * finalXspeed1 + cosAngle * finalYspeed1; + var u2x = cosAngle * finalXspeed2 - sinAngle * finalYspeed2; + var u2y = sinAngle * finalXspeed2 + cosAngle * finalYspeed2; + + //Set new velocities to both balls + b1.v.x = u1x; + b1.v.y = u1y; + b2.v.x = u2x; + b2.v.y = u2y; + + //Update magnitude + b1.v.mag = sqrt(pow(b1.v.x, 2) + pow(b1.v.y, 2)); + b2.v.mag = sqrt(pow(b2.v.x, 2) + pow(b2.v.y, 2)); + + + //Move balls one vx/vy forward to avoid double inverting collision detection + b1.x += b1.v.x; + b1.y += b1.v.y; + b2.x += b2.v.x; + b2.y += b2.v.y; + } + } +} + + + +function toTimeString(time, hoursWanted){ + + var time = floor(time / 10); + + var hs = String(floor(time % 100)); + var fs = String(floor((time / 100) % 60)); + + if (hoursWanted){ + var min = String(floor(((time / 100) / 60) % 60)); + var hr = String(floor(((time / 100) / 60) / 60)); + + if (hs.length < 2) hs = "0" + hs; + if (fs.length < 2) fs = "0" + fs; + if (min.length < 2) min = "0" + min; + if (hr.length < 2) hr = "0" + hr; + + var timeString = hr + ":" + min + ":" + fs + ":" + hs; + } else { + var min = String(floor(((time / 100) / 60) % 60)); + + if (hs.length < 2) hs = "0" + hs; + if (fs.length < 2) fs = "0" + fs; + if (min.length < 2) min = "0" + min; + + var timeString = min + ":" + fs + ":" + hs; + } + + + + return timeString; +} + + +function setCookie(name, value, years){ + var expires = ""; + if (years){ + var date = new Date(); + date.setTime(date.getTime() + (years * 365 * 24 * 60 * 60 * 1000)); + expires = "; expires=" + date.toUTCString(); + } + document.cookie = name + "=" + value + expires + "; path=/"; +} + +function getCookie(name){ + var nameEQ = name + "="; + var ca = document.cookie.split(';'); + for (var i = 0; i < ca.length; i++){ + var c = ca[i]; + while (c.charAt(0) == ' ') c = c.substring(1, c.length); + if (c.indexOf(nameEQ) == 0) return c.substring(nameEQ.length, c.length); + } + return null; +} + +function deleteCookies(){ + for (var i = 0; i < arguments.length; i++) setCookie(arguments[i], "", -1); +} + +function deleteAllCookies(){ + var cookies = document.cookie.split(";"); + for (var i = 0; i < cookies.length; i++) deleteCookies(cookies[i].split("=")[0]); +} + +Array.prototype.shuffle = function(){ + let currentIndex = this.length, temporaryValue, randomIndex; + while (0 != currentIndex) { + randomIndex = Math.floor(Math.random() * currentIndex); + currentIndex -= 1; + temporaryValue = this[currentIndex]; + this[currentIndex] = this[randomIndex]; + this[randomIndex] = temporaryValue; + } +} \ No newline at end of file diff --git a/public/scripts/sketch.js b/public/scripts/sketch.js new file mode 100644 index 0000000..f09912c --- /dev/null +++ b/public/scripts/sketch.js @@ -0,0 +1,63 @@ +let center; + +function setup(){ + setFrameRate(60); + createCanvas(window.innerWidth, window.innerHeight); + center = createVector(window.innerWidth / 2, window.innerHeight / 2); + noFill(); +} + +function draw(){ + clear(); + background(40, 40, 42); + for (let i = 6; i < Infinity; i++){ + let quadrant = (i + 1) % 4 + 1; + let f = fibo(i); + let x = 0, y = 0, startAngle, endAngle, a, b; + if (quadrant == 1){ + for (let j = i - 3; j > 0; j -= 4) x -= fibo(j); + for (let k = i; k > 0; k -= 4) y -= fibo(k); + startAngle = -HALF_PI; + endAngle = TWO_PI; + a = 0; + b = 1; + } + if (quadrant == 2){ + for (let j = i; j > 0; j -= 4) x -= fibo(j); + for (let k = i - 1; k > 0; k -= 4) y -= fibo(k); + startAngle = PI; + endAngle = -HALF_PI; + a = 1; + b = 1; + } + if (quadrant == 3){ + for (let j = i - 1; j > 0; j -= 4) x -= fibo(j); + for (let k = i - 4; k > 0; k -= 4) y += fibo(k); + startAngle = HALF_PI; + endAngle = PI; + a = 1; + b = 0; + } + if (quadrant == 4){ + for (let j = i - 4; j > 0; j -= 4) x += fibo(j); + for (let k = i - 3; k > 0; k -= 4) y -= fibo(k); + startAngle = 0; + endAngle = HALF_PI; + a = 0; + b = 0; + } + stroke(150); + strokeWeight(1); + rect(center.x + x, center.y + y, f, f); + stroke("#FF0000"); + strokeWeight(3); + arc(center.x + x + a * f, center.y + y + b * f, f * 2, f * 2, startAngle, endAngle); + if (fibo(i) > width) break; + } +} + +function fibo(i){ + if (i == 1 || i 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