開発環境
- macOS Sierra - Apple (OS)
- Emacs (Text Editor)
- JavaScript (プログラミング言語)
- D3.js (JavaScript Library)
- Safari(Web browser)
- 参考書籍
- JavaScript 第6版 (David Flanagan(著)、村上 列(翻訳)、オライリージャパン)
- JavaScriptリファレンス 第6版(David Flanagan(著)、木下 哲也(翻訳)、オライリージャパン)
- インタラクティブ・データビジュアライゼーション(Scott Murray (著)、長尾 高弘 (翻訳)、オライリージャパン)
素数夜曲 (吉田 武 (著)、東海大学出版会)の付録D(女王陛下のLISP)、D.6(パスカルの三角形と剰余)、D.6.6(墨絵の世界)を JavaScript で取り組んでみる。
コード(Emacs)
HTML5
<div id="graph0"></div> <label for="row0">段数: </label> <input id="row0" type="number" min="0" step="1" value="50"> <label for="m0">除数: </label> <input id="m0" type="number" min="1" step="1" max="12" value="5"> <label for="r0">点の半径: </label> <input id="r0" type="number" min="1" step="1" value="4"> <script type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/d3/4.2.6/d3.min.js" integrity="sha256-5idA201uSwHAROtCops7codXJ0vja+6wbBrZdQ6ETQc=" crossorigin="anonymous"></script> <script src="sample9.js"></script>
JavaScript
{ let div_graph = document.querySelector('#graph0'), input_row = document.querySelector('#row0'), input_m = document.querySelector('#m0'), input_r = document.querySelector('#r0'), inputs = [input_row, input_m, input_r], width = 600, height = 600, padding = 20, svg; let iota = (start, end, step=1) => { let result = []; for (let i = start; i <= end; i += step) { result.push(i); } return result; }; let memo = []; let fact = (n) => { if (memo[n]) { return memo[n]; } let result = 1; for (let i = 2; i <= n; i += 1) { result *= i; } memo[n] = Math.round(result); return result; }; let bc = (n, r) => { return Math.round(fact(n) / (fact(r) * fact(n - r))); }; let row = (n) => { return iota(0, n).map((x) => bc(n, x)); }; let row_mod = (n, m) => { return row(n).map((x) => Math.round(x % m)); }; let tri_n = (n) => { let y = -n; return iota(y, n, 2).map((x) => [x, y]); }; let mod_xy = (n, m) => { let a = tri_n(n), b = row_mod(n, m), result = []; for (let i = 0; i < a.length; i += 1) { let x = a[i].slice(); x.push(b[i]); result.push(x); } return result; }; let plot_data = (n, m) => { return iota(0, n).map((x) => mod_xy(x, m)) .reduce((x, y) => x.concat(y), []); }; let pas_mod = (n, m) => iota(0, n).map((x) => row_mod(x, m)); let dis_1 = (k, n, i) => [i, pas_mod(k, n) .reduce((x, y) => x.concat(y)) .filter((x) => x == i) .length]; let bc_dis = (k, n) => { return iota(0, n - 1).map((x) => dis_1(k, n, x)); }; let getColors = (n, m) => { let y = bc_dis(n, m); let diff = 255 / y.length; y.sort((a, b) => a[1] - b[1]); let colors = {}; y.forEach((d, i) => { colors[d[0]] = `rgb(${i * diff}, ${i * diff}, ${i * diff})`; }); return colors; }; let draw = () => { let n = parseInt(input_row.value, 10) - 1, m = parseInt(input_m.value, 10), r = parseInt(input_r.value, 10), colors = getColors(n, m), dataset = plot_data(n, m), xscale, yscale; xscale = d3.scaleLinear() .domain([-n, n]) .range([padding, width - padding]); yscale = d3.scaleLinear() .domain([0, -n]) .range([padding, height * Math.sqrt(3) / 2 - padding]); div_graph.innerHTML = ''; svg = d3.select('#graph0') .append('svg') .attr('width', width) .attr('height', height); svg.selectAll('circle') .data(dataset) .enter() .append('circle') .attr('cx', (d) => xscale(d[0])) .attr('cy', (d) => yscale(d[1])) .attr('r', r) .attr('fill', (d) => { return colors[d[2]]; }); }; inputs.forEach((input) => input.onchange = draw); draw(); }
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