我正在编写一段客户端javascript代码,它接受一个函数并找到它的派生词,但是,应该与幂规则匹配的正则表达式无法在javascript程序的上下文中工作,即使它成功了与独立的正则表达式测试器一起使用时匹配。
该代码目前非常简单,我计划稍后对其进行充实。
我正在执行此操作的浏览器是 Midori,操作系统是 Ubuntu 10.04 (Lucid Lynx)。除了代码之外,这是用作界面的 HTML 页面:
页:
<html>
<head>
<title>
Derivative Calculator
</title>
<script type="text/javascript" src="derivative.js">
</script>
<body>
<form action="" name=form>
<input type=text name=f /> with respects to
<input type=text name=vr size=7 />
<input type=button value="Derive!" onClick="main(this.form)" /> <br />
<input type=text name=result value="" />
</form>
</body>
</html>
衍生.js:
function main(form) {
form.result.value = derive(form.f.value, form.vr.value);
}
function derive(f, v) {
var atom = [];
atom["sin(" + v + ")"] = "cos(" + v + ")";
atom["cos(" + v + ")"] = "-sin(" + v + ")";
atom["tan(" + v + ")"] = "sec^(2)(" + v + ")";
atom["sec(" + v + ")"] = "sec(" + v + ")*tan(" + v + ")";
atom["1/(cos(" + v + "))"] = "sec(" + v + ")*tan(" + v + ")";
atom["csc(" + v + ")"] = "-csc(" + v + ")*cot(" + v + ")";
atom["1/(sin(" + v + "))"] = "-csc(" + v + ")*cot(" + v + ")";
atom["cot(" + v + ")"] = "-csc^(2)(" + v + ")";
atom["1/(tan(" + v + "))"] = "-csc^(2)(" + v + ")";
atom["sin^(-1)(" + v + ")"] = "1/sqrt(1 - " + v + "^(2))";
atom["arcsin(" + v + ")"] = "1/sqrt(1 - " + v + "^(2))";
atom["cos^(-1)(" + v + ")"] = "-1/sqrt(1 - " + v + "^(2))";
atom["arccos(" + v + ")"] = "-1/sqrt(1 - " + v + "^(2))";
atom["tan^(-1)(" + v + ")"] = "1/(1 + " + v + "^(2))";
atom["arctan(" + v + ")"] = "1/(1 + " + v + "^(2))";
atom["sec^(-1)(" + v + ")"] = "1/(|" + v + "|*sqrt(" + v + "^(2) - 1))";
atom["arcsec(" + v + ")"] = "1/(|" + v + "|*sqrt(" + v + "^(2) - 1))";
atom["csc^(-1)(" + v + ")"] = "-1/(|" + v + "|*sqrt(" + v + "^(2) - 1))";
atom["arccsc(" + v + ")"] = "-1/(|" + v + "|*sqrt(" + v + "^(2) - 1))";
atom["cot^(-1)(" + v + ")"] = "-1/(1 + " + v + "^(2))";
atom["arccot(" + v + ")"] = "-1/(1 + " + v + "^(2))";
atom["ln(" + v + ")"] = "1/(" + v + ")";
atom["e^(" + v + ")"] = "e^(" + v + ")";
atom["ln(|" + v + "|)"] = "1/(" + v + ")";
atom[v] = "1";
var match = "";
if (new Boolean(atom[f]) == true) {
return atom[f];
} else if (f.match(/^[0-9]+$/)) {
return "";
} else if (f.match(/([\S]+)([\s]+)\+([\s]+)([\S]+)/)) {
match = /([\S]+)([\s]+)\+([\s]+)([\S]+)/.exec(f);
return derive(match[1], v) + " + " + derive(match[4], v);
} else if (f.match(new RegExp("^([0-9]+)(" + v + ")$"))) {
match = new RegExp("^([0-9]+)(" + v + ")$").exec(f);
return match[1];
} else if (f.match(new RegExp("^([0-9]+)(" + v + ")\^([0-9]+)$"))) {
match = new RegExp("^([0-9]+)(" + v + ")\^([0-9]+)$").exec(f);
return String((match[1] * (match[3]))) + v + "^" +
String(match[3] - 1);
} else {
return "?";
}
}
特别是,我在使用这种模式时遇到了问题:
} else if (f.match(new RegExp("^([0-9]+)(" + v + ")\^([0-9]+)$"))) {
match = new RegExp("^([0-9]+)(" + v + ")\^([0-9]+)$").exec(f);
return String((match[1] * (match[3]))) + v + "^" +
String(match[3] - 1);