2d:null 2e:["$","title",null,{"children":"Piangle for Marielle <3 | emma-ba | Observable"}] 33:T99e,mum = { // Fractal pine trees on a mountain lake //const col = ['#c00','#fff','#c00','#fb4','#c00','#c00','#c00','#c00','#c00','#ff0']; const u = 0.25; // unit const wu = 2000; // no. units on width const hu = 2000; // no. units on height const width = wu*u*2; // double the units to have spaces between squares const height = hu*u*2; // double the units to have bottom & top piangles const margin = 2*20; const board_height = height; //1000*5.5; const board_width = width; //1414*5.5; let data_top, data_down, new_top, new_down, r, l, x, y, digit_top, digit_down; let ray = 0.7; let trans_x = (board_width - width)/2; let trans_y = (board_height - height)/2; // Background const { canvas, context } = createCanvas(); const pixelRatio = resize(canvas, board_width + 2*margin, board_height + 2*margin, ); context.globalAlpha = 1; context.scale(pixelRatio, pixelRatio); context.fillStyle = '#fff'; context.fillRect(0, 0, board_width+2*margin, board_height+2*margin); ///////////////// DATA ///////////////// const base = get_pi_txt(wu+1); data_top = [[]]; data_down = [[]]; data_top[0] = base; data_down[0] = base; for (let h = 1; h < hu; ++h){ data_top[h] = []; data_down[h] = []; for (let w = 1; w < wu; ++w) { if(w > (wu-h)){ new_top = 0; new_down = 0; } else { r = data_top[h-1][w+1]; l = data_top[h-1][w]; new_top = alg_tri(l, r, 9, 18, 6); // l, r, start, thres_s, thres_d r = data_down[h-1][w+1]; l = data_down[h-1][w]; new_down = alg_tri(l, r, 9, 18, 6); } data_top[h][w] = new_top; data_down[h][w] = new_down; } } //////////////////// DRAW //////////////// for (let h = 0; h < hu; ++h){ for (let w = 0; w < wu; ++w) { ///// TOP digit_top = data_top[h][w]; if(digit_top != 0){ x = u*w*2 + h*u + margin/2 + trans_x; y = (hu-h)*u + margin/2 + trans_y; context.fillStyle = col[digit_top]; context.fillRect(x, y, u, u); } ///// DOWN digit_down = Math.round(data_down[h][w])%10; if(digit_down != 0){ context.globalAlpha = 1; context.fillStyle = col[digit_down]; x = u*w*2 + h*u + margin/2 + trans_x; y = h*u + margin/2 + hu*u + trans_y; context.fillRect(x, y, u, u); } context.globalAlpha = 1; } } return canvas; }34:T9a0,mum1 = { // Fractal pine trees on a mountain lake //const col = ['#c00','#fff','#c00','#fb4','#c00','#c00','#c00','#c00','#c00','#ff0']; const u = 0.1; // unit const wu = 10000; // no. units on width const hu = 10000; // no. units on height const width = wu*u*2; // double the units to have spaces between squares const height = hu*u*2; // double the units to have bottom & top piangles const margin = 2*20; const board_height = height; //1000*5.5; const board_width = width; //1414*5.5; let data_top, data_down, new_top, new_down, r, l, x, y, digit_top, digit_down; let ray = 0.7; let trans_x = (board_width - width)/2; let trans_y = (board_height - height)/2; // Background const { canvas, context } = createCanvas(); const pixelRatio = resize(canvas, board_width + 2*margin, board_height + 2*margin, ); context.globalAlpha = 1; context.scale(pixelRatio, pixelRatio); context.fillStyle = '#fff'; context.fillRect(0, 0, board_width+2*margin, board_height+2*margin); ///////////////// DATA ///////////////// const base = get_pi_txt(wu+1); data_top = [[]]; data_down = [[]]; data_top[0] = base; data_down[0] = base; for (let h = 1; h < hu; ++h){ data_top[h] = []; data_down[h] = []; for (let w = 1; w < wu; ++w) { if(w > (wu-h)){ new_top = 0; new_down = 0; } else { r = data_top[h-1][w+1]; l = data_top[h-1][w]; new_top = alg_tri(l, r, 9, 18, 6); // l, r, start, thres_s, thres_d r = data_down[h-1][w+1]; l = data_down[h-1][w]; new_down = alg_tri(l, r, 9, 18, 6); } data_top[h][w] = new_top; data_down[h][w] = new_down; } } //////////////////// DRAW //////////////// for (let h = 0; h < hu; ++h){ for (let w = 0; w < wu; ++w) { ///// TOP digit_top = data_top[h][w]; if(digit_top != 0){ x = u*w*2 + h*u + margin/2 + trans_x; y = (hu-h)*u + margin/2 + trans_y; context.fillStyle = col[digit_top]; context.fillRect(x, y, u, u); } ///// DOWN digit_down = Math.round(data_down[h][w])%10; if(digit_down != 0){ context.globalAlpha = 1; context.fillStyle = col[digit_down]; x = u*w*2 + h*u + margin/2 + trans_x; y = h*u + margin/2 + hu*u + trans_y; context.fillRect(x, y, u, u); } context.globalAlpha = 1; } } return canvas; }35:[{"id":"34efc5064cab74f4007753420692ed31b5de2e67ff7f15f3bdf9787c825e6f5127db64a8063d75bad051c3f5a893b391e1a2f4a5f71c04dfd95d50994915f7d2","href":"https://static.observableusercontent.com/files/34efc5064cab74f4007753420692ed31b5de2e67ff7f15f3bdf9787c825e6f5127db64a8063d75bad051c3f5a893b391e1a2f4a5f71c04dfd95d50994915f7d2","name":"pi.txt","type":"text/plain","lastModified":1680092782657.503,"size":1000002}] 31:{"id":"06e84aac7af4c812","slug":"piangle-for-marielle","title":"Piangle for Marielle <3","thumbnail":"674869b5e64f6bd1aaad96f436eab61ba8b5f1ec299e6c1eccf4ea0bbb3369d1","access_level":"public","create_time":"$D2023-03-29T12:26:22.657Z","update_time":"$D2023-05-27T11:46:10.451Z","view_time":null,"first_public_time":"$D2023-03-29T12:26:22.657Z","fork":{"id":"df833e6518a24770","slug":null,"title":"Piangle for Anna <3","owner":{"id":"5d9b00b2cdcd8028","login":"emma-ba","name":""}},"stars":0,"starred":false,"owner":{"type":"team","id":"5d9b00b2cdcd8028","login":"emma-ba","name":"","avatar_url":"https://avatars-next.observableusercontent.com/3950b079ad1fc587c84ccfe712c3cc77ad1e122194ac7deeaf2ea35c7bf0f25a","tier":"starter_2024"},"version":573,"publish_version":null,"role":null,"authored":false,"authors":[{"type":"individual","id":"261e0273bd70e808","login":"emma-ba","name":"","avatar_url":"https://avatars-next.observableusercontent.com/3950b079ad1fc587c84ccfe712c3cc77ad1e122194ac7deeaf2ea35c7bf0f25a","tier":null}],"members":[{"type":"individual","id":"261e0273bd70e808","login":"emma-ba","name":"","avatar_url":"https://avatars-next.observableusercontent.com/3950b079ad1fc587c84ccfe712c3cc77ad1e122194ac7deeaf2ea35c7bf0f25a","tier":null,"role":"editor"}],"comments":[],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":0,"collection":null,"type":"notebook","body":{"title":"Piangle for Marielle <3","cells":[{"id":0,"value":"# Piangle for Marielle <3","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","output":"","database":"$undefined"},{"id":167,"value":"$33","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":549,"value":"$34","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":546,"value":"//col = ['#c00','#fff','#c00','#fb4','#c00','#c00','#c00','#c00','#c00','#ff0'];\ncol = ['#000','#0f0','#000','#ff0','#000','#000','#000','#000','#000','#666'];","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":305,"value":"alg_tri = (l, r, start, thres_s, thres_d) => {\n let diff = Math.abs(l - r);\n let sum = l + r;\n let new_d = start;\n \n if(l==r){new_d = r;}\n else if(l%r==0){new_d = r;}\n else if(r%l==0){new_d = l;}\n \n if(sum > thres_s){ new_d = sum ;}\n if(diff > thres_d){ new_d = diff ;}\n return new_d % 10;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":7,"value":"get_pi = (length) => {\n const D = Decimal.clone({precision: length+1});\n const one = D(1), four = D(4);\n const a = four.times(arctan(one.div(5)));\n const b = arctan(one.div(239));\n const pi = four.times(a.minus(b));\n const p = pi.toFixed(length); \n \n const digits = [3];\n for (let i = 1; i < length; ++i) {digits[i] = p[i+1]*1;}\n return digits;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":10,"value":"function arctan(x) {\n const x2 = x.times(x);\n let k = 1, y0, y1 = x;\n do {\n y0 = y1;\n if (k & 2) y1 = y0.plus((x = x.times(x2)).div(k += 2));\n else y1 = y0.minus((x = x.times(x2)).div(k += 2));\n } while (!y1.equals(y0));\n return y1;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":13,"value":"Decimal = require(\"decimal.js-light@2/decimal.min.js\")","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":15,"value":"resize = (canvas, width, height) => {\n // Desired width and height in pixels\n //const width = 1000;\n //const height = 500;\n \n // Device screen density, e.g. MacBook Pro is @2x\n const pixelRatio = window.devicePixelRatio;\n \n // Scale it up by pixel ratio for higher density screens\n canvas.width = width * pixelRatio;\n canvas.height = height * pixelRatio;\n \n // Set the style to the desired size so that it scales back down\n canvas.style.width = `${width}px`;\n canvas.style.height = `${height}px`;\n\n return pixelRatio;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":19,"value":"createCanvas = () => {\n const canvas = document.createElement('canvas');\n const context = canvas.getContext('2d');\n return { canvas, context };\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":268,"value":"pi_txt = FileAttachment(\"pi.txt\").csv({array: true});","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":242,"value":"get_pi_txt = (length) => {\n let pi = pi_txt[0][0];\n let digits = [];\n for (let i = 0; i < length; ++i) {digits[i] = pi[i]*1;}\n return digits;\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W35","stdlib":"1","titling":"auto"}} 32:"$31:body"