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index.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<meta lang="zh-CN">
<title>Karnaugh Map Simplifier</title>
<link rel="stylesheet" href="katex.min.css">
<style>
body { user-select: none; }
.cols { width: 100%; }
.cols div {
display: inline-block;
vertical-align: top;
}
button {
height: 30px;
}
.karnaugh { border: none; }
.karnaugh td {
padding: 0;
border: none;
text-align: center;
}
.karnaugh button {
width: 50px;
height: 50px;
border: none;
font-size: 1em;
}
.truth {
margin: auto;
border-collapse: collapse;
}
.truth td {
width: 40px;
height: 30px;
border: 1px solid gray;
text-align: center;
}
.truth button {
width: 40px;
height: 30px;
border: none;
font-size: 1em;
}
.cell-0 { background-color: lightsteelblue; }
.cell-1 { background-color: aquamarine; }
.cell-2 { background-color: khaki; }
.hover { background-color: darksalmon; }
.hover button { background-color: darksalmon; }
.term:hover { background-color: lightsalmon; }
</style>
</head>
<body>
<h2>卡诺图化简器 <small>Version 1.0.1</small></h2>
<ul>
<li>点击下方真值表右侧的真值,或卡诺图上的单元格,以改变最小项状态;</li>
<ul>
<li><span class="cell-0"> </span> 假 / $0$ / False</li>
<li><span class="cell-1"> </span> 真 / $1$ / True</li>
<li><span class="cell-2"> </span> 无关项 / $\varphi$ / Don't Care</li>
</ul>
<li>将鼠标移动到表达式的某一项 / 因式上,以 <span class="hover"> </span> 高亮显示「对应的最小项」所对应的真值表中的行,和卡诺图上的单元格。</li>
<ul>
<li>「对应的最小项」指的是 SOP 中该项包含的最小项,或者 POS 中该因式不包含的最小项。</li>
</ul>
<li>本工具所得到的化简结果可能并非最简,尤其是当无关项太多时,此时减少无关项或者修改设置选项可能会使结果得到一定的化简。</li>
<li><strong>本工具仅供学习参考之用。</strong></li>
</ul>
<div class="cols">
<div id="row-1"></div>
<div id="row-2">
<p>
<button id="all-1">全部设为 $1$</button>
<button id="all-0">全部设为 $0$</button>
<button id="all-2">全部设为 $\varphi$</button>
</p>
<ul>
<li>化简方式:</li>
<ul>
<li>
<input id="SOP" type="radio" name="exprtype" value="SOP" checked />
<label for="SOP">积之和 (Sum of Product, SOP)</label>
</li>
<li>
<input id="POS" type="radio" name="exprtype" value="POS" />
<label for="POS">和之积 (Product of Sum, POS)</label>
</li>
</ul>
<li>无关项的默认值:</li>
<ul>
<li>
<input id="Care" type="radio" name="caretype" value="true" checked />
<label for="Care">1 (SOP) / 0 (POS)</label>
</li>
<li>
<input id="DontCare" type="radio" name="caretype" value="false" />
<label for="DontCare">0 (SOP) / 1 (POS)</sup></label>
</li>
</ul>
<li>化简算法:</li>
<ul>
<li>
<input id="QM" type="radio" name="algotype" value="QM" />
<label for="QM">Quine-McCluskey 算法</label>
</li>
<li>
<input id="QMP" type="radio" name="algotype" value="QMP" checked />
<label for="QMP">Quine-McCluskey 算法 + 素项表化简</label>
</li>
</ul>
</ul>
<p>化简后的表达式:<span id='result'></span></p>
</div>
</div>
</body>
<script src="karnaugh.js"></script>
<script src="katex.min.js"></script>
<script src="auto-render.min.js"></script>
<script>
// 引入 KaTeX
document.addEventListener("DOMContentLoaded", function() {
renderMathInElement(document.body, {
delimiters: [
{left: '$', right: '$', display: false}
],
throwOnError : false
});
});
// 初始设置
let kar = new karnaugh();
let cells = [0, 1, 3, 2, 4, 5, 7, 6, 12, 13, 15, 14, 8, 9, 11, 10];
let cols = ["\\bar C\\bar D", "\\bar CD", "CD", "C\\bar D"];
let rows = ["\\bar A\\bar B","\\bar AB", "AB", "A\\bar B"];
let truthValue = ["0", "1", "\\varphi"];
let status = new Array();
for (i in cells)
status[i] = 0;
// 设置项
let POS = false;
let Care = true;
let Prim = true;
// 生成页面内容
// 卡诺图表格
let ktable = "<table class='karnaugh'><tr><td></td>";
for (let i of cols)
ktable += `<td>$${i}$</td>`;
for (let i = 0; i < 4; i ++) {
ktable += `</tr><tr><td>$${rows[i]}$</td>`;
for (let j = 0; j < 4; j ++)
ktable += `<td><button class="cell-0" id="${cells[i * 4 + j]}">$m_{${cells[i * 4 + j]}}$</button></td>`;
}
ktable += "</tr></table>";
// 真值表
let ttable = "<table class='truth'><tr><th></th>";
for (let i = 0; i < 4; i ++)
ttable += `<th>$${kar.chars[i]}$</th>`;
ttable += "<th>真值</th>";
for (let i = 0; i < 16; i ++) {
ttable += `</tr><tr class="truth-row"><td>$m_{${i}}$</td>`;
let bits = kar.binaryify(i);
for (let j = 0; j < 4; j ++)
ttable += `<td>$${bits[j]}$</td>`;
ttable += `<td><button class="cell-0" id="r-${i}">$0$</button></td>`;
}
ttable += "</tr></table>";
// 操作按钮
document.getElementById("row-1").innerHTML = ttable;
document.getElementById("row-2").innerHTML = ktable + document.getElementById("row-2").innerHTML;
for (let i = 0; i < 3; i ++) {
document.getElementById(`all-${i}`).addEventListener("click", () => {
for (let j = 0; j < 16; j ++)
change(j, i);
update();
});
}
for (let i = 0; i < 16; i ++) {
let event = () => {
change(i, (status[i] + 1) % 3);
update();
};
document.getElementById(`${i}`).addEventListener("click", event);
document.getElementById(`r-${i}`).addEventListener("click", event);
}
function change(index, state) {
status[index] = state;
document.getElementById(`${index}`).classList = `cell-${state}`;
document.getElementById(`r-${index}`).classList = `cell-${state}`;
katex.render(
`${truthValue[state]}`,
document.getElementById(`r-${index}`), {
throwOnError: false
});
}
document.getElementById("SOP").addEventListener("click", function () {
if (this.checked) { POS = false; update(); }
});
document.getElementById("POS").addEventListener("click", function () {
if (this.checked) { POS = true; update(); }
});
document.getElementById("Care").addEventListener("click", function () {
if (this.checked) { Care = true; update(); }
});
document.getElementById("DontCare").addEventListener("click", function () {
if (this.checked) { Care = false; update(); }
});
document.getElementById("QM").addEventListener("click", function () {
if (this.checked) { Prim = false; update(); }
});
document.getElementById("QMP").addEventListener("click", function () {
if (this.checked) { Prim = true; update(); }
});
function update() {
let ones = new Set();
let dontcares = new Set();
for (let i = 0; i < status.length; i ++) {
if (POS && status[i] == 0) ones.add(i);
if (!POS && status[i] == 1) ones.add(i);
if (Care && status[i] == 2) dontcares.add(i);
}
// 渲染表达式
let terms;
if (Prim) terms = kar.simplify_prime(ones, dontcares);
else terms = kar.simplify(ones, dontcares);
document.getElementById("result").innerHTML = "";
if (terms.length == 0) {
document.getElementById("result").innerHTML = '<span class="term" id="t-" data=""></span>'
katex.render(POS ? "1" : "0", document.getElementById("t-"), {
throwOnError: false
});
} else terms.forEach((item, index) => {
document.getElementById("result").innerHTML +=
`<span class="term" id="t-${item}" data="${item}"></span>`;
let termDom = document.getElementById(`t-${item}`);
katex.render(
POS ? ((index > 0 ? "\\cdot" : "") + kar.termify_POS(item)) :
((index > 0 ? "+" : "") + kar.termify(item)),
termDom, {
throwOnError: false
}
);
});
// 绑定「悬浮高亮显示」事件
let doms = document.getElementsByClassName("term");
for (let i = 0; i < doms.length; i ++) {
doms[i].addEventListener("mouseover", function () {
let terms = kar.minimumTermify(this.getAttribute("data"));
terms.forEach(term => {
document.getElementById(term).classList.add("hover");
document.getElementsByClassName("truth-row")[term].classList.add("hover");
});
});
doms[i].addEventListener("mouseout", function () {
let terms = kar.minimumTermify(this.getAttribute("data"));
terms.forEach(term => {
document.getElementById(term).classList.remove("hover");
document.getElementsByClassName("truth-row")[term].classList.remove("hover");
});
});
}
}
</script>
</html>