Mastermind 🎰
How about a game of Bulls and cows?
en.wikipedia.org/wiki/bulls_and_cows
#game
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const codeOptions = 6; //min=4 max=16 step=1 (0 to 3, 0 to 4, 0 1 2 3 4 and 5, 0 to 6, 0 to 7, 0 to 8, 0 to 9, 0 to A, 0 to B, 0 to C, 0 to D, 0 to E, 0 to F)
const codeLength = 4; //min=3 max=6 step=1
const guess = ''; //type=string
// You can find the Turtle API reference here: https://turtletoy.net/syntax
Canvas.setpenopacity(1);
const guesses = [guess.split(' ')].map(g => Array.from({length: 10}).map((e,i) => g[i] || '')).pop().map(g => g.toUpperCase().trim());
//const guesses = [guess1, guess2, guess3, guess4, guess5, guess6, guess7, guess8, guess9, guess10].map(v => v.trim());
const seed = (new Date().toDateString())+' '+codeOptions+' '+codeLength;
// Seedable random number generator by David Bau: http://davidbau.com/archives/2010/01/30/random_seeds_coded_hints_and_quintillions.html
!function(a,b,c,d,e,f,g,h,i){function j(a){var b,c=a.length,e=this,f=0,g=e.i=e.j=0,h=e.S=[];for(c||(a=[c++]);d>f;)h[f]=f++;for(f=0;d>f;f++)h[f]=h[g=s&g+a[f%c]+(b=h[f])],h[g]=b;(e.g=function(a){for(var b,c=0,f=e.i,g=e.j,h=e.S;a--;)b=h[f=s&f+1],c=c*d+h[s&(h[f]=h[g=s&g+b])+(h[g]=b)];return e.i=f,e.j=g,c})(d)}function k(a,b){var c,d=[],e=typeof a;if(b&&"object"==e)for(c in a)try{d.push(k(a[c],b-1))}catch(f){}return d.length?d:"string"==e?a:a+"\0"}function l(a,b){for(var c,d=a+"",e=0;e<d.length;)b[s&e]=s&(c^=19*b[s&e])+d.charCodeAt(e++);return n(b)}function m(c){try{return o?n(o.randomBytes(d)):(a.crypto.getRandomValues(c=new Uint8Array(d)),n(c))}catch(e){return[+new Date,a,(c=a.navigator)&&c.plugins,a.screen,n(b)]}}function n(a){return String.fromCharCode.apply(0,a)}var o,p=c.pow(d,e),q=c.pow(2,f),r=2*q,s=d-1,t=c["seed"+i]=function(a,f,g){var h=[];f=1==f?{entropy:!0}:f||{};var o=l(k(f.entropy?[a,n(b)]:null==a?m():a,3),h),s=new j(h);return l(n(s.S),b),(f.pass||g||function(a,b,d){return d?(c[i]=a,b):a})(function(){for(var a=s.g(e),b=p,c=0;q>a;)a=(a+c)*d,b*=d,c=s.g(1);for(;a>=r;)a/=2,b/=2,c>>>=1;return(a+c)/b},o,"global"in f?f.global:this==c)};if(l(c[i](),b),g&&g.exports){g.exports=t;try{o=require("crypto")}catch(u){}}else h&&h.amd&&h(function(){return t})}(this,[],Math,256,6,52,"object"==typeof module&&module,"function"==typeof define&&define,"random");
Math.seedrandom(''+seed);
// Add a seed in seedrandom, then Math.random will use this seed
// Global code will be evaluated once.
init();
const turtle = new Turtle();
const polygons = new Polygons();
const fonts = {
normal: 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"},
game: 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267.472,113.402 266.484,115.542 265.504,117.675 262.972,118.615 260.817,117.628 257.525,116.084 253.017,115.198 248.189,115.198 243.219,115.198 237.921,116.114 233.162,117.965 228.404,119.791 224.226,122.519 221.286,125.984 219.781,127.787 217.077,128.022 215.274,126.486 213.479,124.965 213.252,122.276 214.788,120.481 Z M 311.925,221.396 C 306.963,221.396 302.463,220.832 298.356,219.884 298.466,221.059 298.544,222.368 298.544,223.756 298.544,226.539 298.238,229.72 297.368,233.06 296.49,236.391 295.009,239.895 292.673,243.258 291.333,245.202 288.675,245.68 286.739,244.339 284.795,242.998 284.325,240.349 285.649,238.397 287.373,235.912 288.447,233.372 289.106,230.872 289.765,228.372 290.008,225.941 290.008,223.755 290.016,220.737 289.553,218.252 289.224,216.833 287.139,215.892 285.218,214.834 283.424,213.65 276.275,209.025 271.494,202.919 268.491,197.11 266.477,193.214 265.253,189.452 264.595,186.183 264.219,184.317 264.031,182.625 264.031,181.087 264.031,178.72 265.944,176.807 268.303,176.807 270.662,176.807 272.575,178.72 272.575,181.087 272.567,182.325 272.834,184.403 273.508,186.763 274.182,189.13 275.256,191.819 276.808,194.523 279.92,199.963 284.866,205.411 292.501,208.947 297.604,211.314 303.953,212.85 311.925,212.85 314.284,212.85 316.197,214.763 316.197,217.122 316.197,219.484 314.285,221.396 311.925,221.396 Z M 341.979,190.229 C 341.101,192.409 338.616,193.475 336.421,192.604 334.234,191.726 333.184,189.257 334.046,187.07 V 187.062 L 334.07,186.999 334.196,186.623 334.635,185.087 C 334.957,183.739 335.286,181.834 335.286,179.741 L 335.278,179.443 C 329.415,181.434 323.975,182.327 318.966,182.327 311.394,182.343 304.841,180.266 299.51,177.115 294.172,173.965 290.018,169.794 286.913,165.553 283.386,160.748 278.761,156.437 273.462,153.388 268.148,150.33 262.206,148.512 255.896,148.496 250.37,148.512 244.491,149.891 238.353,153.262 232.529,156.46 228.782,160.716 226.36,165.388 223.954,170.068 222.935,175.178 222.942,179.835 222.926,184.146 223.836,188.049 225.019,190.511 226.03,192.643 225.113,195.183 222.989,196.194 220.865,197.206 218.317,196.288 217.306,194.164 215.448,190.228 214.414,185.274 214.398,179.835 214.406,174.426 215.48,168.515 218.122,162.864 212.824,164.064 207.901,164.597 203.417,164.597 200.995,164.597 198.713,164.44 196.542,164.158 L 195.75,165.757 195.742,165.772 195.679,165.836 195.452,166.126 194.542,167.364 C 193.766,168.478 192.692,170.1 191.524,172.169 189.196,176.269 186.531,182.054 185.237,188.551 184.775,190.864 182.533,192.377 180.22,191.906 177.908,191.444 176.402,189.202 176.881,186.874 178.417,179.168 181.452,172.615 184.093,167.951 185.472,165.537 186.735,163.625 187.659,162.323 184.179,161.281 181.169,160.003 178.708,158.701 173.088,155.714 170.163,152.72 169.913,152.477 168.282,150.776 168.329,148.079 170.022,146.441 171.723,144.811 174.412,144.858 176.05,146.535 L 176.098,146.582 176.348,146.825 177.571,147.851 C 178.683,148.729 180.401,149.937 182.697,151.159 187.306,153.589 194.189,156.051 203.415,156.067 209.897,156.067 217.54,154.829 226.421,151.411 228.671,149.318 231.265,147.406 234.244,145.775 241.55,141.77 248.91,139.967 255.894,139.967 263.874,139.967 271.297,142.288 277.725,145.987 284.153,149.703 289.601,154.79 293.794,160.512 296.342,163.968 299.689,167.316 303.836,169.753 308.006,172.199 312.936,173.791 318.964,173.798 323.095,173.798 327.751,173.03 333.019,171.18 331.734,169.118 329.821,167.127 326.67,165.324 324.616,164.156 323.887,161.554 325.047,159.508 326.215,157.446 328.81,156.74 330.863,157.885 335.911,160.731 339.29,164.501 341.249,168.444 343.232,172.371 343.82,176.353 343.82,179.74 343.797,185.652 342.096,189.924 341.979,190.229 Z M 340.38,137.938 C 330.409,137.938 321.685,135.249 314.63,131.181 313.635,132.561 312.302,134.293 310.585,136.174 306.721,140.415 301.045,145.393 293.45,148.12 291.216,148.904 288.786,147.76 287.994,145.534 287.202,143.307 288.37,140.87 290.573,140.086 296.178,138.087 300.865,134.16 304.111,130.609 305.616,128.986 306.784,127.45 307.631,126.274 303.421,122.716 300.098,118.663 297.817,114.493 295.654,110.495 294.399,106.372 294.384,102.366 294.384,100.015 296.297,98.102 298.656,98.102 301.008,98.102 302.92,100.015 302.92,102.366 302.904,104.522 303.657,107.399 305.318,110.417 306.956,113.442 309.449,116.593 312.71,119.416 319.232,125.068 328.646,129.394 340.381,129.394 342.74,129.394 344.645,131.315 344.645,133.674 344.644,136.025 342.739,137.938 340.38,137.938 Z M 374.023,198.037 C 372.526,199.84 369.829,200.106 368.011,198.593 366.193,197.096 365.942,194.4 367.431,192.589 372.087,186.937 373.804,181.246 373.819,175.799 373.835,170.837 372.314,166.047 369.931,162.011 367.579,157.981 364.327,154.752 361.199,152.957 359.098,151.75 357.123,151.209 355.555,151.209 353.195,151.209 351.291,149.305 351.291,146.945 351.291,144.586 353.196,142.673 355.555,142.673 358.149,142.673 360.689,143.308 363.104,144.374 365.51,145.425 367.784,146.922 369.9,148.749 374.125,152.401 377.715,157.371 379.973,163.196 381.462,167.083 382.371,171.348 382.371,175.8 382.379,183.12 379.879,190.958 374.023,198.037 Z',
'M 428.699,66.574 C 396.943,29.442 349.183,4.155 287.986,0.462 283.008,0.156 278.054,0 273.147,0 221.678,0 174.332,16.712 139.623,47.393 104.89,77.995 83.263,122.801 83.341,176.465 83.341,177.68 83.349,178.895 83.372,180.118 L 83.318,186.592 39.139,264.61 C 36.764,268.819 35.564,273.515 35.564,278.211 35.564,282.129 36.396,286.065 38.08,289.733 41.647,297.517 48.662,303.114 56.971,305.042 L 56.955,305.112 77.273,310.709 85.3,388.132 85.363,388.124 C 85.928,399.404 90.96,409.994 99.505,417.425 107.101,424.041 116.797,427.631 126.768,427.631 127.778,427.631 128.774,427.537 129.778,427.467 L 152.8,429.293 153.953,429.168 154.321,429.152 C 155.206,429.152 156.03,429.466 156.665,430.038 L 156.703,430.078 C 157.433,430.736 157.864,431.7 157.864,432.688 V 512 H 372.824 V 499.96 C 372.824,499.96 372.824,467.344 372.824,454.332 372.8,449.095 373.843,438.741 375.897,428.754 376.916,423.746 378.177,418.752 379.605,414.434 381.016,410.123 382.647,406.454 384.01,404.314 398.308,381.268 418.524,362.362 437.038,335.624 455.53,308.91 471.293,274.255 475.612,221.673 476.161,215.081 476.436,208.488 476.436,201.928 476.436,152.079 460.508,103.674 428.699,66.574 Z M 451.611,219.664 C 447.433,268.539 433.762,297.784 417.206,321.967 400.675,346.126 380.232,365.119 363.59,391.544 360.69,396.216 358.565,401.39 356.739,406.892 354.027,415.131 352.091,424.114 350.766,432.478 349.449,440.865 348.752,448.469 348.744,454.332 348.744,462.688 348.744,475.324 348.744,487.92 H 181.944 V 432.689 C 181.944,424.842 178.605,417.372 172.756,412.129 167.653,407.543 161.069,405.066 154.32,405.066 153.826,405.066 153.348,405.12 152.862,405.152 L 129.864,403.318 128.735,403.443 126.768,403.553 C 122.582,403.553 118.506,402.04 115.315,399.265 111.631,396.059 109.451,391.45 109.31,386.551 L 109.303,386.097 99.536,291.876 62.929,281.78 62.49,281.694 C 61.377,281.474 60.445,280.737 59.966,279.702 L 59.644,278.213 60.099,276.473 107.35,193.03 107.452,179.994 V 179.821 C 107.429,178.693 107.421,177.579 107.421,176.467 107.5,129.216 125.865,91.809 155.574,65.432 185.314,39.117 226.844,24.082 273.147,24.082 277.56,24.082 282.013,24.223 286.497,24.498 C 341.947,27.986 382.756,50.107 410.418,82.253 438.034,114.423 452.356,157.151 452.356,201.927 452.356,207.812 452.113,213.73 451.611,219.664'
];
// an array of [fill, Path]
const logoPathSets = logoPaths.flatMap(ps => new PathSet(ps).reverse().map((e,i,a) => [i==a.length-1, e]));
// The walk function will be called until it returns false.
function walk(i) {
if(!guesses.some(g => g.trim() != '')) {
displayLogo([0,-60], .3);
const logoText = new Text(fonts.logo);
let sizeInfo = logoText.size(turtle, 'Mastermind', 2);
turtle.jump(-sizeInfo.width/2, 0);
logoText.print(turtle, 'Mastermind', 2);
let height = sizeInfo.height;
let txt = 'A set of new games every day!';
const text = new Text(fonts.normal);
sizeInfo = text.size(turtle, txt, .8);
turtle.jump(-sizeInfo.width/2, height);
height += sizeInfo.height + 5;
text.print(turtle, txt, .8);
txt = `To start a game enter characters in 'guess'. Separate
entries with a space, e.g. '1234 5678 1278'.
To the right of each code entry, empty circles will show
for each correct character. Fully black circles are
shown for each correct character in a correct location.
You can change the setup of a game: codeOptions sets
the characters to use and codeLength defines the
number of characters in a code.`;
sizeInfo = text.size(turtle, txt, .6);
turtle.jump(-sizeInfo.width/2, height);
height += sizeInfo.height;
text.print(turtle, txt, .6);
return false;
}
try {
const mm = new MasterMind(new Text(fonts.game), codeOptions, codeLength, guesses);
if(mm.hasWon()) {
displayLogo([0,-60], .3);
const logoText = new Text(fonts.logo);
let sizeInfo = logoText.size(turtle, 'Mastermind', 2);
turtle.jump(-sizeInfo.width/2, 0);
logoText.print(turtle, 'Mastermind', 2);
let height = sizeInfo.height + 5;
let txt = 'You won!';
sizeInfo = logoText.size(turtle, txt, 2.5);
turtle.jump(-sizeInfo.width/2, height);
logoText.print(turtle, txt, 2.5);
height += sizeInfo.height + 5;
txt = 'Game id: ' + seed;
sizeInfo = logoText.size(turtle, txt, .6);
turtle.jump(-sizeInfo.width/2, 90);
logoText.print(turtle, txt, .6);
height += sizeInfo.height + 5;
mm.drawGuess(turtle, [0, 50], 25, mm.code.join(''), 1);
return false;
}
return mm.drawBoard(turtle, [0, 0], 195);
} catch(e) {
const text = new Text(fonts.normal);
turtle.jump(-95, 0);
text.print(turtle, e.message, .8);
return false;
}
}
function displayLogo(position, scale = 1) {
for(let i = 0; i < logoPathSets.length; i++) {
const [hatch, path] = logoPathSets[i];
const steps = path.length() | 0;
const p = polygons.create();
for(let j = 0; j <= steps; j++) {
p.addPoints(V.add(position, V.scale(V.add(path.p( j/steps ), [-256, -256]), .39 * scale)));
}
if(hatch) p.addHatching(1, .15);
polygons.draw(turtle, p);
}
}
function MasterMind(text, codeOptions, codeLength, guesses) {
class MasterMind {
constructor(codeOptions, codeLength, guesses) {
this.codeCharacters = '0123456789ABCDEF'.substring(0, codeOptions);
this.codeLength = codeLength;
this.guesses = guesses;
this.text = text;
this.code = Array.from({length: codeLength}, () => this.codeCharacters[Math.random() * this.codeCharacters.length | 0]);
//Uncomment the next line to cheat
//console.log(this.code);
this.calibrationSize = null;
this.calibratedDims = null;
guesses.forEach((g, gIdx) => g.split('').forEach(c => {
if(this.codeCharacters.indexOf(c) === -1) throw new Error('Invalid character input in guess '+ gIdx +'.\nThe ' + c + ' in ' + g + ' is not one of the posibilities.\nPossibilities to choose from: '+this.codeCharacters+'');
}))
}
hasWon() {
return this.guesses.some(g => this.getGuessResult(g).correctLocation == this.codeLength);
}
drawBoard(turtle, position, height, padding = 2) {
const heightPerGuess = (height - (this.guesses.length - 1) * padding) / this.guesses.length;
for(let i = 0; i < this.guesses.length; i++) {
this.drawGuess(turtle, V.add(
V.add(position, [0,(heightPerGuess-height)/2]),
[0, i * (heightPerGuess + padding)]
), heightPerGuess, this.guesses[i], padding / 2);
}
}
calibrateCharacterDimensions(height) {
if(this.calibratedSize === height) return;
const maxWHat1Scale = Array.from({length: this.codeCharacters.length}).map((e, i) => this.text.dimensions(1, this.codeCharacters[i])).reduce((a, c) => [Math.max(c.width, a[0]), Math.max(c.height, a[1])], [0,0]);
const useScale = height / Math.max(...maxWHat1Scale);
const dimensionsPerCharacter = Array.from({length: this.codeCharacters.length}).map((e, i) => this.text.dimensions(useScale, this.codeCharacters[i]));
this.calibratedDims = {
scale: useScale,
perCharacter: dimensionsPerCharacter,
maxWidthHeight: dimensionsPerCharacter.reduce((a, c) => [Math.max(c.width, a[0]), Math.max(c.height, a[1])], [0,0])
}
this.calibrationSize = height;
}
drawGuess(turtle, position, height, guess, padding = 1) {
const answerWidth = padding * 2 + height;
this.drawRectangle(turtle, position, this.codeLength * height - (this.codeLength - 1) * padding + answerWidth, height);
this.calibrateCharacterDimensions(height);
for(let i = 0; i < this.codeLength; i++) {
const characterPosition = V.add([i * (height - padding) - answerWidth / 2, 0], V.add(position, [((this.codeLength / -2) + .5) * (height - padding), 0]));
this.drawRectangle(
turtle,
characterPosition,
height - padding - padding
);
if(i < guess.length) {
const cIndex = this.codeCharacters.indexOf(guess[i]);
turtle.jump(V.add(characterPosition, [this.calibratedDims.perCharacter[cIndex].width / -4, this.calibratedDims.perCharacter[cIndex].height / 4]));
this.text.print(turtle, guess[i])
}
}
turtle.jump(V.add(position, [(this.codeLength / 2 - .5) * (height - padding), height / -2 + 2 * padding]));
turtle.goto(V.add(position, [(this.codeLength / 2 - .5) * (height - padding), height / 2 - 2* padding]));
this.drawAnswer(turtle, V.add([this.codeLength * (height - padding) - answerWidth / 2 + padding + padding + padding, 0],V.add(position, [((this.codeLength / -2) + .5) * (height - padding), 0])), height - padding - padding, guess);
}
getGuessResult(guess) {
const codeClone = [...this.code];
const guessClone = guess.split('');
const correctCharLocation = guessClone.map((c, i) => codeClone[i] == c);
codeClone.forEach((c, i) => codeClone[i] = correctCharLocation[i]? '_': codeClone[i]);
guessClone.forEach((c, i) => guessClone[i] = correctCharLocation[i]? '_': guessClone[i]);
let correctChar = 0;
for(let i = 0; i < guessClone.length; i++) {
if(guessClone[i] == '_') continue;
const cIdx = codeClone.indexOf(guessClone[i]);
if(cIdx === -1) continue;
codeClone[cIdx] = '_';
correctChar++;
}
return {correctLocation: correctCharLocation.reduce((a, c) => a + (c?1:0), 0), correctCharacters: correctChar}
}
drawAnswer(turtle, position, height, guess) {
this.drawRectangle(turtle, position, height);
const result = [this.getGuessResult(guess)].map(gr => Array.from({length: this.codeLength}).map((e,i) => guess.length < this.codeLength? 0: (i < gr.correctLocation? 2: (i < gr.correctLocation + gr.correctCharacters? 1: 0)))).pop();
const pinHoles = [
[-1/4,-1/4], [0,-1/4], [1/4,-1/4],
[-1/4, 0], [0, 0], [1/4, 0],
[-1/4, 1/4], [0, 1/4], [1/4, 1/4]
];
const useHoles = [
[0, 4, 8],
[0, 2, 6, 8],
[0, 2, 4, 6, 8],
[0, 1, 2, 6, 7, 8]
];
useHoles[this.codeLength - 3].map(e => V.add(position, V.scale(pinHoles[e], height)))
.forEach((e, i) => {
const h = height * (result[i] == 0? .02: .09);
for(let j = h; j > .075; j -= .15) {
turtle.jump(e[0], e[1] - j);
turtle.circle(j);
if(result[i] < 2) break;
}
});
}
drawRectangle(turtle, position, width, height = width) {
[[-.5,-.5],[.5,-.5],[.5,.5],[-.5,.5]].map(ref => [ref[0]*width+position[0], ref[1]*height+position[1]])
.forEach((e,i,a) => {
turtle.jump(e);
turtle.goto(a[(i+1)%a.length]);
});
}
}
return new MasterMind(codeOptions, codeLength, guesses);
}
////////////////////////////////////////////////////////////////
// Text utility code. Created by Reinder Nijhoff 2024
// https://turtletoy.net/turtle/0f84fd3ae4
// Modifications by Jurgen Westerhof 2024: https://turtletoy.net/turtle/9aef87b45e
// Usage:
// const text = new Text(fontData); // fontData can be found in https://turtletoy.net/turtle/0f84fd3ae4
// text.print(turtle, str, scale = 1); // print the text str using location and heading of turtle
// text.bboxPrint(turtle, str, scale = 1); // same as text.print() but also returns bounding box with absolute coordinates
// text.size(turtle, str, scale = 1) // returns properties of text str to be printed
// text.bbox(turtle, str, scale = 1) // returns bounding box of text str to be printed
// text.dimensions(scale = 1, standardChar = 'x') // returns properties of fontData for scale
////////////////////////////////////////////////////////////////
function Text(e){let t=e=>{let t=atob(e),s=new Int16Array(t.length/2),r={};for(let n=0;n<t.length;n+=2)s[n/2|0]=t.charCodeAt(n)|t.charCodeAt(n+1)<<8;for(let i=0;i<s.length;i++){let h=String.fromCharCode(s[i++]),o=s[i++],a=[],g=[];for(;-16384!==s[i];i++)16384===s[i]?(a.push(g),g=[]):g.push(s[i]);r[h]={x:o,d:a}}return r},s=(e,t,s)=>[Math.cos(s)*e[0]-Math.sin(s)*e[1]+t[0],Math.cos(s)*e[1]+Math.sin(s)*e[0]+t[1]],r=Object.fromEntries(Object.entries(e).map(([e,s])=>[e,"glyphs"===e?t(s):s]));class n extends Turtle{constructor(e,t){super(e,t),this.reset()}goto(e,t){super.goto(e,t);let[s,r]=this.pos();this.rangeX=[Math.min(s,this.rangeX?this.rangeX[0]:s),Math.max(s,this.rangeX?this.rangeX[1]:s)],this.rangeY=[Math.min(r,this.rangeY?this.rangeY[0]:r),Math.max(r,this.rangeY?this.rangeY[1]:r)]}reset(){let[e,t]=this.pos();this.rangeX=[e,e],this.rangeY=[t,t]}bbox(){return[[this.rangeX[0],this.rangeY[0]],[this.rangeX[1],this.rangeY[1]]]}}return new class e{print(e,t,n=1){let i=2*Math.PI/e._fullCircle,h=e&&e.isdown(),o=e?[e.x(),e.y()]:[0,0],a=e?e.h():0,g=o,l=n/r.unitsPerEm;return t.split("").map(t=>{if("\n"==t){o=g=s([0,10*n],g,a*i);return}let b=r.glyphs[t]||r.glyphs[" "],_=b.d;_.forEach((t,r)=>{e&&e.up();for(let n=0;n<t.length;n+=2)e&&e.goto(s([t[n]*l,t[n+1]*l],o,a*i)),e&&h&&e.down()}),o=s([b.x*l,0],o,a*i)}),h&&e.down(),s([0,10*n],o,a*i)}bboxPrint(e,t,s=1){let r=new n(e.pos());return r.degrees(e._fullCircle),r.seth(e.h()),r.up(),this.print(r,t,s),this.print(e,t,s),r.bbox()}size(e,t,s=1){let r=new n;return r.up(),this.print(r,t,s),{width:r.rangeX[1]-r.rangeX[0],height:r.rangeY[1]-r.rangeY[0],bbox:0===e.h()?r.bbox():this.bbox(e,t,s)}}bbox(e,t,s=1){let r=new n;return r.degrees(e._fullCircle),r.seth(e.h()),r.up(),this.print(r,t,s),r.bbox()}dimensions(e=1,t="x"){let s=new Turtle,r=this.size(s,t,e),n=this.size(s,"abcdefghijklmnopqrstuvwxyz",e),i=this.size(s,"ABCDEFGHIJKLMNOPQRSTUVWXYZ",e);return{height:r.height,width:r.width,ascenders:Math.abs(n.bbox[0][1])-r.height,descenders:Math.abs(n.bbox[1][1]),capitalHeight:Math.abs(i.bbox[0][1]),capitalDescenders:Math.abs(i.bbox[1][1])}}}}
function init() {
///////////////////////////////////////////////////////
// Vector functions - Created by Jurgen Westerhof 2024
// https://turtletoy.net/turtle/d068ad6040
///////////////////////////////////////////////////////
class Vector {
static add (a,b) { return a.map((v,i)=>v+b[i]); }
static sub (a,b) { return a.map((v,i)=>v-b[i]); }
static mul (a,b) { return a.map((v,i)=>v*b[i]); }
static div (a,b) { return a.map((v,i)=>v/b[i]); }
static scale(a,s) { return a.map(v=>v*s); }
static det(m) { return m.length == 1? m[0][0]: m.length == 2 ? m[0][0]*m[1][1]-m[0][1]*m[1][0]: m[0].reduce((r,e,i) => r+(-1)**(i+2)*e*this.det(m.slice(1).map(c => c.filter((_,j) => i != j))),0); }
static angle(a) { return Math.PI - Math.atan2(a[1], -a[0]); } //compatible with turtletoy heading
static rot2d(angle) { return [[Math.cos(angle), -Math.sin(angle)], [Math.sin(angle), Math.cos(angle)]]; }
static rot3d(yaw,pitch,roll) { return [[Math.cos(yaw)*Math.cos(pitch), Math.cos(yaw)*Math.sin(pitch)*Math.sin(roll)-Math.sin(yaw)*Math.cos(roll), Math.cos(yaw)*Math.sin(pitch)*Math.cos(roll)+Math.sin(yaw)*Math.sin(roll)],[Math.sin(yaw)*Math.cos(pitch), Math.sin(yaw)*Math.sin(pitch)*Math.sin(roll)+Math.cos(yaw)*Math.cos(roll), Math.sin(yaw)*Math.sin(pitch)*Math.cos(roll)-Math.cos(yaw)*Math.sin(roll)],[-Math.sin(pitch), Math.cos(pitch)*Math.sin(roll), Math.cos(pitch)*Math.cos(roll)]]; }
static trans(matrix,a) { return a.map((v,i) => a.reduce((acc, cur, ci) => acc + cur * matrix[ci][i], 0)); }
//Mirror vector a in a ray through [0,0] with direction mirror
static mirror2d(a,mirror) { return [Math.atan2(...mirror)].map(angle => this.trans(this.rot2d(angle), this.mul([-1,1], this.trans(this.rot2d(-angle), a)))).pop(); }
static approx(a,b,p) { return this.len(this.sub(a,b)) < (p === undefined? .001: p); }
static norm (a) { return this.scale(a,1/this.len(a)); }
static len (a) { return Math.hypot(...a); }
static lenSq (a) { return a.reduce((a,c)=>a+c**2,0); }
static lerp (a,b,t) { return a.map((v, i) => v*(1-t) + b[i]*t); }
static dist (a,b) { return Math.hypot(...this.sub(a,b)); }
static dot (a,b) { return a.reduce((a,c,i) => a+c*b[i], 0); }
static cross(...ab) { return ab[0].map((e, i) => ab.map(v => v.filter((ee, ii) => ii != i))).map((m,i) => (i%2==0?-1:1)*this.det(m)); }
}
this.V = Vector;
class Intersection2D {
//a-start, a-direction, b-start, b-direction
//returns false on no intersection or [[intersection:x,y], scalar a-direction, scalar b-direction
static info(as, ad, bs, bd) { const d = V.sub(bs, as), det = -V.det([bd, ad]); if(det === 0) return false; const res = [V.det([d, bd]) / det, V.det([d, ad]) / det]; return [V.add(as, V.scale(ad, res[0])), ...res]; }
static ray(a, b, c, d) { return this.info(a, b, c, d); }
static segment(a,b,c,d, inclusiveStart = true, inclusiveEnd = true) { const i = this.info(a, V.sub(b, a), c, V.sub(d, c)); return i === false? false: ( (inclusiveStart? 0<=i[1] && 0<=i[2]: 0<i[1] && 0<i[2]) && (inclusiveEnd? i[1]<=1 && i[2]<=1: i[1]<1 && i[2]<1) )?i[0]:false;}
static tour(tour, segmentStart, segmentDirection) { return tour.map((e, i, a) => [i, this.info(e, V.sub(a[(i+1)%a.length], e), segmentStart, segmentDirection)]).filter(e => e[1] !== false && 0 <= e[1][1] && e[1][1] <= 1).filter(e => 0 <= e[1][2]).map(e => ({position: e[1][0],tourIndex: e[0],tourSegmentPortion: e[1][1],segmentPortion: e[1][2],}));}
static inside(tour, pt) { return tour.map((e,i,a) => this.segment(e, a[(i+1)%a.length], pt, [Number.MAX_SAFE_INTEGER, 0], true, false)).filter(e => e !== false).length % 2 == 1; }
static circles(centerA, radiusA, centerB, radiusB) {const result = {intersect_count: 0,intersect_occurs: true,one_is_in_other: false,are_equal: false,point_1: [null, null],point_2: [null, null],};const dx = centerB[0] - centerA[0];const dy = centerB[1] - centerA[1];const dist = Math.hypot(dy, dx);if (dist > radiusA + radiusB) {result.intersect_occurs = false;}if (dist < Math.abs(radiusA - radiusB) && !N.approx(dist, Math.abs(radiusA - radiusB))) {result.intersect_occurs = false;result.one_is_in_other = true;}if (V.approx(centerA, centerB) && radiusA === radiusB) {result.are_equal = true;}if (result.intersect_occurs) {const centroid = (radiusA**2 - radiusB**2 + dist * dist) / (2.0 * dist);const x2 = centerA[0] + (dx * centroid) / dist;const y2 = centerA[1] + (dy * centroid) / dist;const prec = 10000;const h = (Math.round(radiusA**2 * prec)/prec - Math.round(centroid**2 * prec)/prec)**.5;const rx = -dy * (h / dist);const ry = dx * (h / dist);result.point_1 = [x2 + rx, y2 + ry];result.point_2 = [x2 - rx, y2 - ry];if (result.are_equal) {result.intersect_count = null;} else if (result.point_1.x === result.point_2.x && result.point_1.y === result.point_2.y) {result.intersect_count = 1;} else {result.intersect_count = 2;}}return result;}
}
this.Intersection = Intersection2D;
class PathTools {
static bezier(p1, cp1, cp2, p2, steps = null) {steps = (steps === null? (V.len(V.sub(cp1, p1)) + V.len(V.sub(cp2, cp1)) + V.len(V.sub(p2, cp2))) | 0: steps) - 1;return Array.from({length: steps + 1}).map((v, i, a, f = i/steps) => [[V.lerp(p1, cp1, f),V.lerp(cp1, cp2, f),V.lerp(cp2, p2, f)]].map(v => V.lerp(V.lerp(v[0], v[1], f), V.lerp(v[1], v[2], f), f))[0]);}
// https://stackoverflow.com/questions/18655135/divide-bezier-curve-into-two-equal-halves#18681336
static splitBezier(p1, cp1, cp2, p2, t=.5) {const e = V.lerp(p1, cp1, t);const f = V.lerp(cp1, cp2, t);const g = V.lerp(cp2, p2, t);const h = V.lerp(e, f, t);const j = V.lerp(f, g, t);const k = V.lerp(h, j, t);return [[p1, e, h, k], [k, j, g, p2]];}
static circular(radius,verticeCount,rotation=0) {return Array.from({length: verticeCount}).map((e,i,a,f=i*2*Math.PI/verticeCount+rotation) => [radius*Math.cos(f),radius*Math.sin(f)])}
static circle(r){return this.circular(r,Math.max(12, r*2*Math.PI|0));}
static arc(radius, extend = 2 * Math.PI, clockWiseStart = 0, steps = null, includeLast = false) { return [steps == null? (radius*extend+1)|0: steps].map(steps => Array.from({length: steps}).map((v, i, a) => [radius * Math.cos(clockWiseStart + extend*i/(a.length-(includeLast?1:0))), radius * Math.sin(clockWiseStart + extend*i/(a.length-(includeLast?1:0)))])).pop(); }
static draw(turtle, path) {path.forEach((pt, i) => turtle[i==0?'jump':'goto'](pt));}
static drawTour(turtle, path) {this.draw(turtle, path.concat([path[0]]));}
static drawPoint(turtle, pt, r = .1) {this.drawTour(turtle, this.circle(r).map(e => V.add(e, pt)));}
static drawArrow(turtle, s, d, width = 6, length = 3) {turtle.jump(s);const arrowHeadBase = V.add(s,d);turtle.goto(arrowHeadBase);turtle.goto(V.add(arrowHeadBase, V.trans(V.rot2d(-V.angle(d)), [-length, width/2])));turtle.jump(V.add(arrowHeadBase, V.trans(V.rot2d(-V.angle(d)), [-length, -width/2])));turtle.goto(arrowHeadBase);}
}
this.PT = PathTools;
class Complex {
static add(a,b) { return V.add(a,b); }
static sub(a,b) { return V.sub(a,b); }
static scale(a,s) { return V.scale(a,s); }
static mult(a,b) { return [a[0]*b[0]-a[1]*b[1],a[0]*b[1]+a[1]*b[0]]; }
static sqrt(a) { return [[Math.hypot(...a)**.5, Math.atan2(...a.reverse()) / 2]].map(ra => [ra[0]*Math.cos(ra[1]), ra[0]*Math.sin(ra[1])]).pop(); }
}
this.C = Complex;
class Numbers {
static approx(a,b,p) { return Math.abs(a-b) < (p === undefined? .001: p); }
static clamp(a, min, max) { return Math.min(Math.max(a, min), max); }
}
this.N = Numbers;
}
function PathSet(svg) {
return svg.split(/z/gi).map(s => (s.trim() == '')? false: new Path(s)).filter(p => p);
}
////////////////////////////////////////////////////////////////
// Path utility code. Created by Reinder Nijhoff 2023
// Parses a single SVG path (only M, C and L statements are
// supported). The p-method will return
// [...position, ...derivative] for a normalized point t.
//
// https://turtletoy.net/turtle/46adb0ad70
//
// Modifications by Jurgen Westerhof 2024 (support for InkScape absolute export)
// Added support for H and V statements
// Added support for multiple sets of parameter(s) for one statement
////////////////////////////////////////////////////////////////
function Path(svg) {
class MoveTo {
constructor(p) { this.p0 = p; }
p(t, s) { return [...this.p0, 1, 0]; }
length() { return 0; }
}
class LineTo {
constructor(p0, p1) { this.p0 = p0, this.p1 = p1; }
p(t, s = 1) {
const nt = 1 - t, p0 = this.p0, p1 = this.p1;
return [
nt*p0[0] + t*p1[0],
nt*p0[1] + t*p1[1],
(p1[0] - p0[0]) * s,
(p1[1] - p0[1]) * s,
];
}
length() {
const p0 = this.p0, p1 = this.p1;
return Math.hypot(p0[0]-p1[0], p0[1]-p1[1]);
}
}
class BezierTo {
constructor(p0, c0, c1, p1) { this.p0 = p0, this.c0 = c0, this.c1 = c1, this.p1 = p1; }
p(t, s = 1) {
const nt = 1 - t, p0 = this.p0, c0 = this.c0, c1 = this.c1, p1 = this.p1;
return [
nt*nt*nt*p0[0] + 3*t*nt*nt*c0[0] + 3*t*t*nt*c1[0] + t*t*t*p1[0],
nt*nt*nt*p0[1] + 3*t*nt*nt*c0[1] + 3*t*t*nt*c1[1] + t*t*t*p1[1],
(3*nt*nt*(c0[0]-p0[0]) + 6*t*nt*(c1[0]-c0[0]) + 3*t*t*(p1[0]-c1[0])) * s,
(3*nt*nt*(c0[1]-p0[1]) + 6*t*nt*(c1[1]-c0[1]) + 3*t*t*(p1[1]-c1[1])) * s,
];
}
length() {
return this._length || (
this._length = Array.from({length:25}, (x, i) => this.p(i/25)).reduce(
(a,c,i,v) => i > 0 ? a + Math.hypot(c[0]-v[i-1][0], c[1]-v[i-1][1]) : a, 0));
}
}
class Path {
constructor(svg) {
this.segments = [];
this.parsePath(svg);
}
parsePath(svg) {
const knownStatements = 'MLCHV';
const t = svg.match(/([0-9.-]+|[MLCHV])/g); // Turtletoy does not support 'new Regex()'. If it did, MLCHV would not have to be repeated here
let st = t[0];
for (let s, i=0; i<t.length;) {
const a = t[i++];
if(knownStatements.indexOf(a) > -1) st = a; else i--;
switch (st) {
case 'M': this.add(new MoveTo(s=[t[i++],t[i++]]));
break;
case 'L': this.add(new LineTo(s, s=[t[i++],t[i++]]));
break;
case 'C': this.add(new BezierTo(s, [t[i++],t[i++]], [t[i++],t[i++]], s=[t[i++],t[i++]]));
break;
case 'H': this.add(new LineTo(s, s=[t[i++],s[1]]));
break;
case 'V': this.add(new LineTo(s, s=[s[0],t[i++]]));
break;
default: i++;
}
}
}
add(segment) {
this.segments.push(segment);
this._length = 0;
}
length() {
return this._length || (this._length = this.segments.reduce((a,c) => a + c.length(), 0));
}
p(t) {
t = Math.max(Math.min(t, 1), 0) * this.length();
for (let l=0, i=0, sl=0; i<this.segments.length; i++, l+=sl) {
sl = this.segments[i].length();
if (t > l && t <= l + sl) {
return this.segments[i].p((t-l)/sl, sl/this.length());
}
}
return this.segments[Math.min(1, this.segments.length-1)].p(0);
}
}
return new Path(svg);
}
////////////////////////////////////////////////////////////////
// Polygon Clipping utility code - Created by Reinder Nijhoff 2019
// (Polygon binning by Lionel Lemarie 2021) https://turtletoy.net/turtle/95f33bd383
// (Delegated Hatching by Jurgen Westerhof 2024) https://turtletoy.net/turtle/d068ad6040
// (Deferred Polygon Drawing by Jurgen Westerhof 2024) https://turtletoy.net/turtle/6f3d2bc0b5
// https://turtletoy.net/turtle/a5befa1f8d
//
// const polygons = new Polygons();
// const p = polygons.create();
// polygons.draw(turtle, p);
// polygons.list();
// polygons.startDeferSession();
// polygons.stopDeferring();
// polygons.finalizeDeferSession(turtle);
//
// p.addPoints(...[[x,y],]);
// p.addSegments(...[[x,y],]);
// p.addOutline();
// p.addHatching(angle, distance); OR p.addHatching(HatchObject); where HatchObject has a method 'hatch(PolygonClass, thisPolygonInstance)'
// p.inside([x,y]);
// p.boolean(polygon, diff = true);
// p.segment_intersect([x,y], [x,y], [x,y], [x,y]);
////////////////////////////////////////////////////////////////
function Polygons(){const t=[],s=25,e=Array.from({length:s**2},t=>[]),n=class{constructor(){this.cp=[],this.dp=[],this.aabb=[]}addPoints(...t){let s=1e5,e=-1e5,n=1e5,h=-1e5;(this.cp=[...this.cp,...t]).forEach(t=>{s=Math.min(s,t[0]),e=Math.max(e,t[0]),n=Math.min(n,t[1]),h=Math.max(h,t[1])}),this.aabb=[s,n,e,h]}addSegments(...t){t.forEach(t=>this.dp.push(t))}addOutline(){for(let t=0,s=this.cp.length;t<s;t++)this.dp.push(this.cp[t],this.cp[(t+1)%s])}draw(t){for(let s=0,e=this.dp.length;s<e;s+=2)t.jump(this.dp[s]),t.goto(this.dp[s+1])}addHatching(t, s) {if(typeof t == 'object') return t.hatch(n, this);const e=new n;e.cp.push([-1e5,-1e5],[1e5,-1e5],[1e5,1e5],[-1e5,1e5]);const h=Math.sin(t)*s,o=Math.cos(t)*s,a=200*Math.sin(t),i=200*Math.cos(t);for(let t=.5;t<150/s;t++) {e.dp.push([h*t+i,o*t-a],[h*t-i,o*t+a]);e.dp.push([-h*t+i,-o*t-a],[-h*t-i,-o*t+a]);}e.boolean(this,!1);this.dp=[...this.dp,...e.dp]}inside(t){let s=0;for(let e=0,n=this.cp.length;e<n;e++)this.segment_intersect(t,[.1,-1e3],this.cp[e],this.cp[(e+1)%n])&&s++;return 1&s}boolean(t,s=!0){const e=[];for(let n=0,h=this.dp.length;n<h;n+=2){const h=this.dp[n],o=this.dp[n+1],a=[];for(let s=0,e=t.cp.length;s<e;s++){const n=this.segment_intersect(h,o,t.cp[s],t.cp[(s+1)%e]);!1!==n&&a.push(n)}if(0===a.length)s===!t.inside(h)&&e.push(h,o);else{a.push(h,o);const n=o[0]-h[0],i=o[1]-h[1];a.sort((t,s)=>(t[0]-h[0])*n+(t[1]-h[1])*i-(s[0]-h[0])*n-(s[1]-h[1])*i);for(let n=0;n<a.length-1;n++)(a[n][0]-a[n+1][0])**2+(a[n][1]-a[n+1][1])**2>=.001&&s===!t.inside([(a[n][0]+a[n+1][0])/2,(a[n][1]+a[n+1][1])/2])&&e.push(a[n],a[n+1])}}return(this.dp=e).length>0}segment_intersect(t,s,e,n){const h=(n[1]-e[1])*(s[0]-t[0])-(n[0]-e[0])*(s[1]-t[1]);if(0===h)return!1;const o=((n[0]-e[0])*(t[1]-e[1])-(n[1]-e[1])*(t[0]-e[0]))/h,a=((s[0]-t[0])*(t[1]-e[1])-(s[1]-t[1])*(t[0]-e[0]))/h;return o>=0&&o<=1&&a>=0&&a<=1&&[t[0]+o*(s[0]-t[0]),t[1]+o*(s[1]-t[1])]}};const y=function(n,j=[]){const h={},o=200/s;for(var a=0;a<s;a++){const c=a*o-100,r=[0,c,200,c+o];if(!(n[3]<r[1]||n[1]>r[3]))for(var i=0;i<s;i++){const c=i*o-100;r[0]=c,r[2]=c+o,n[0]>r[2]||n[2]<r[0]||e[i+a*s].forEach(s=>{const e=t[s];n[3]<e.aabb[1]||n[1]>e.aabb[3]||n[0]>e.aabb[2]||n[2]<e.aabb[0]||j.includes(s)||(h[s]=1)})}}return Array.from(Object.keys(h),s=>t[s])};return{list:()=>t,create:()=>new n,draw:(n,h,o=!0)=>{rpl=y(h.aabb, this.dei === undefined? []: Array.from({length: t.length - this.dei}).map((e, i) => this.dsi + i));for(let t=0;t<rpl.length&&h.boolean(rpl[t]);t++);const td=n.isdown();if(this.dsi!==undefined&&this.dei===undefined)n.pu();h.draw(n),o&&function(n){t.push(n);const h=t.length-1,o=200/s;e.forEach((t,e)=>{const a=e%s*o-100,i=(e/s|0)*o-100,c=[a,i,a+o,i+o];c[3]<n.aabb[1]||c[1]>n.aabb[3]||c[0]>n.aabb[2]||c[2]<n.aabb[0]||t.push(h)})}(h);if(td)n.pd();},startDeferSession:()=>{if(this.dei!==undefined)throw new Error('Finalize deferring before starting new session');this.dsi=t.length;},stopDeferring:()=>{if(this.dsi === undefined)throw new Error('Start deferring before stopping');this.dei=t.length;},finalizeDeferSession:(n)=>{if(this.dei===undefined)throw new Error('Stop deferring before finalizing');for(let i=this.dsi;i<this.dei;i++) {rpl = y(t[i].aabb,Array.from({length:this.dei-this.dsi+1}).map((e,j)=>i+j));for(let j=0;j<rpl.length&&t[i].boolean(rpl[j]);j++);t[i].draw(n);}this.dsi=undefined;this.dei=undefined;}}}