我的解决方案将输入视为字符串，并使用n位数字的“数学舍入”算法：取n位数字，如果数字n+1等于或大于5，则加1。它还允许指定负数，例如，将123.45舍入为-1的数字为120。它也适用于科学符号（例如1.2e-3）。我没有测量它的速度，我认为这不是最好的表现。

function safeRound( numInput, numPrecision ) {
    const strNumber = numInput.toString().replace( 'E', 'e' );
    const bSign = '+-'.indexOf( strNumber[ 0 ] ) !== -1;
    const strSign = bSign  ?  strNumber[ 0 ]  :  '';
    const numSign = strSign !== '-'  ?  +1  :  -1;
    const ixExponent = ( ixFound => ixFound !== -1  ?  ixFound  :  strNumber.length )( strNumber.indexOf( 'e' ) );
    const strExponent = strNumber.substr( ixExponent + 1 );
    const numExponent = ixExponent !== strNumber.length  ?  Number.parseInt( strExponent )  :  0;
    const ixDecimal = ( ixFound => ixFound !== -1  ?  ixFound  :  ixExponent )( strNumber.indexOf( '.' ) );
    const strInteger = strNumber.substring( !bSign  ?  0  :  1, ixDecimal );
    const strFraction = strNumber.substring( ixDecimal + 1, ixExponent );
    
    const numPrecisionAdjusted = numPrecision + numExponent;
    const strIntegerKeep = strInteger.substring( 0, strInteger.length + Math.min( 0, numPrecisionAdjusted ) ) + '0'.repeat( -Math.min( 0, numPrecisionAdjusted ) );
    const strFractionKeep = strFraction.substring( 0, Math.max( 0, numPrecisionAdjusted ) );
    const strRoundedDown = strSign + ( strIntegerKeep === ''  ?  '0'  :  strIntegerKeep ) + ( strFractionKeep === ''  ?  ''  :  '.' + strFractionKeep ) + ( strExponent === ''  ?  ''  :  'e' + strExponent );
    
    const chRoundUp = 0 <= numPrecisionAdjusted  ?  strFraction.substr( numPrecisionAdjusted, 1 )  :  ( '0' + strInteger ).substr( numPrecisionAdjusted, 1 );
    const bRoundUp = '5' <= chRoundUp && chRoundUp <= '9';
    const numRoundUp = bRoundUp  ?  numSign * Math.pow( 10, -numPrecision )  :  0;
    
    return Number.parseFloat( strRoundedDown ) + numRoundUp;
}

function safeRoundTest( numInput, numPrecision, strExpected ) {
    const strActual = safeRound( numInput, numPrecision ).toString();
    const bPassed = strActual === strExpected;
    console.log( 'numInput', numInput, 'numPrecision', numPrecision, 'strExpected', strExpected, 'strActual', strActual, 'bPassed', bPassed );
    return bPassed  ?  0  :  1;
}

function safeRoundTests() {
    let numFailed = 0;
    numFailed += safeRoundTest( 0, 0, '0' );
    numFailed += safeRoundTest( '0', 0, '0' );
    numFailed += safeRoundTest( '0.1', 0, '0' );
    numFailed += safeRoundTest( '+0.1', 0, '0' );
    numFailed += safeRoundTest( '-0.1', 0, '0' );
    numFailed += safeRoundTest( '0.1', 1, '0.1' );
    numFailed += safeRoundTest( '+0.1', 1, '0.1' );
    numFailed += safeRoundTest( '-0.1', 1, '-0.1' );
    numFailed += safeRoundTest( '0.9', 0, '1' );
    numFailed += safeRoundTest( '+0.9', 0, '1' );
    numFailed += safeRoundTest( '-0.9', 0, '-1' );
    numFailed += safeRoundTest( '0.9', 1, '0.9' );
    numFailed += safeRoundTest( '+0.9', 1, '0.9' );
    numFailed += safeRoundTest( '-0.9', 1, '-0.9' );
    numFailed += safeRoundTest( '0.5', 0, '1' );
    numFailed += safeRoundTest( '+0.5', 0, '1' );
    numFailed += safeRoundTest( '-0.5', 0, '-1' );
    numFailed += safeRoundTest( '0.4999', 0, '0' );
    numFailed += safeRoundTest( '+0.4999', 0, '0' );
    numFailed += safeRoundTest( '-0.4999', 0, '0' );
    numFailed += safeRoundTest( '1.005', 2, '1.01' );
    numFailed += safeRoundTest( '1.00499999999', 2, '1' );
    numFailed += safeRoundTest( '012.3456', -4, '0' );
    numFailed += safeRoundTest( '012.3456', -3, '0' );
    numFailed += safeRoundTest( '012.3456', -2, '0' );
    numFailed += safeRoundTest( '012.3456', -1, '10' );
    numFailed += safeRoundTest( '012.3456', 0, '12' );
    numFailed += safeRoundTest( '012.3456', 1, '12.3' );
    numFailed += safeRoundTest( '012.3456', 2, '12.35' );
    numFailed += safeRoundTest( '012.3456', 3, '12.346' );
    numFailed += safeRoundTest( '012.3456', 4, '12.3456' );
    numFailed += safeRoundTest( '012.3456', 5, '12.3456' );
    numFailed += safeRoundTest( '12.', 0, '12' );
    numFailed += safeRoundTest( '.12', 2, '0.12' );
    numFailed += safeRoundTest( '0e0', 0, '0' );
    numFailed += safeRoundTest( '1.2e3', 0, '1200' );
    numFailed += safeRoundTest( '1.2e+3', 0, '1200' );
    numFailed += safeRoundTest( '1.2e-3', 0, '0' );
    numFailed += safeRoundTest( '1.2e-3', 3, '0.001' );
    numFailed += safeRoundTest( '1.2e-3', 4, '0.0012' );
    numFailed += safeRoundTest( '1.2e-3', 5, '0.0012' );
    numFailed += safeRoundTest( '+12.', 0, '12' );
    numFailed += safeRoundTest( '+.12', 2, '0.12' );
    numFailed += safeRoundTest( '+0e0', 0, '0' );
    numFailed += safeRoundTest( '+1.2e3', 0, '1200' );
    numFailed += safeRoundTest( '+1.2e+3', 0, '1200' );
    numFailed += safeRoundTest( '+1.2e-3', 0, '0' );
    numFailed += safeRoundTest( '+1.2e-3', 3, '0.001' );
    numFailed += safeRoundTest( '+1.2e-3', 4, '0.0012' );
    numFailed += safeRoundTest( '+1.2e-3', 5, '0.0012' );
    numFailed += safeRoundTest( '-12.', 0, '-12' );
    numFailed += safeRoundTest( '-.12', 2, '-0.12' );
    numFailed += safeRoundTest( '-0e0', 0, '0' );
    numFailed += safeRoundTest( '-1.2e3', 0, '-1200' );
    numFailed += safeRoundTest( '-1.2e+3', 0, '-1200' );
    numFailed += safeRoundTest( '-1.2e-3', 0, '0' );
    numFailed += safeRoundTest( '-1.2e-3', 3, '-0.001' );
    numFailed += safeRoundTest( '-1.2e-3', 4, '-0.0012' );
    numFailed += safeRoundTest( '-1.2e-3', 5, '-0.0012' );
    numFailed += safeRoundTest( '9876.543e210', 0, '9.876543e+213' );
    numFailed += safeRoundTest( '9876.543e210', -210, '9.877e+213' );
    numFailed += safeRoundTest( '9876.543e210', -209, '9.8765e+213' );
    numFailed += safeRoundTest( '9876.543e+210', 0, '9.876543e+213' );
    numFailed += safeRoundTest( '9876.543e+210', -210, '9.877e+213' );
    numFailed += safeRoundTest( '9876.543e+210', -209, '9.8765e+213' );
    numFailed += safeRoundTest( '9876.543e-210', 213, '9.876543e-207' );
    numFailed += safeRoundTest( '9876.543e-210', 210, '9.877e-207' );
    numFailed += safeRoundTest( '9876.543e-210', 211, '9.8765e-207' );
    console.log( 'numFailed', numFailed );
}

safeRoundTests();

有两种方法可以做到这一点。对于像我这样的人，Lodash的变体

function round(number, precision) {
    var pair = (number + 'e').split('e')
    var value = Math.round(pair[0] + 'e' + (+pair[1] + precision))
    pair = (value + 'e').split('e')
    return +(pair[0] + 'e' + (+pair[1] - precision))
}

用法：

round(0.015, 2) // 0.02
round(1.005, 2) // 1.01

如果您的项目使用jQuery或Lodash，您也可以在库中找到适当的舍入方法。

请参阅AmrAli的答案，以了解此解决方案的所有不同调整的更全面的运行和性能细分。

var DecimalPrecision=（函数）{if（数字.EPSILON===未定义）{Number.EPSILON=数学功率（2，-52）；}if（Number.isInteger==未定义）{Number.isInteger=函数（值）{返回值类型==“number”&&isFinite（值）&&数学下限（值）==值；};}this.isRound=函数（n，p）{设l=n.toString（）.split（'.'）[1].length；返回（p>=l）；}this.round=函数（n，p=2）{if（Number.isInteger（n）|| this.isRound（n，p））返回n；设r=0.5*Number.EPSILON*n；设o＝1；而（p-->0）o*=10；如果（n<0）o*=-1；返回数学舍入（（n+r）*o）/o；}this.ceil=函数（n，p=2）{if（Number.isInteger（n）|| this.isRound（n，p））返回n；设r=0.5*Number.EPSILON*n；设o＝1；而（p-->0）o*=10；返回Math.ceil（（n+r）*o）/o；}this.flor=函数（n，p=2）{if（Number.isInteger（n）|| this.isRound（n，p））返回n；设r=0.5*Number.EPSILON*n；设o＝1；而（p-->0）o*=10；返回数学楼层（（n+r）*o）/o；}返回此；})();console.log（DecimalPrecision.round（1.005））；console.log（DecimalPrecision.ceil（1.005））；console.log（DecimalPrecision.floor（1.005））；console.log（DecimalPrecision.round（1.0049999））；console.log（DecimalPrecision.ceil（1.0049999））；console.log（DecimalPrecision.floor（1.0049999））；console.log（DecimalPrecision.round（2.175495134384,7））；console.log（DecimalPrecision.round（2.1753543549,8））；console.log（DecimalPrecision.round（2.1755465135333,4））；console.log（DecimalPrecision.ceil（17,4））；console.log（DecimalPrecision.ceil（17.1,4））；console.log（DecimalPrecision.ceil（17.1,15））；

简单的通用舍入函数如下：

步骤如下：

使用Math.pow（10，位）将数字乘以（10乘以小数位数的幂）。使用Math.Round将结果舍入为整数。将结果除以（10乘以小数位数的幂）Math.pow（10，位）。

例子：

数字为：1.2375四舍五入至小数点后三位

1.2375 * (10^3) ==> 1.2375 * 1000 = 1237.5舍入为整数==>1238将1238除以（10^3）==>1238/1000=1.238

（注：10^3表示数学功率（10,3））。

函数编号RoundDecimal（v，n）{return Math.round（（v+Number.EPSILON）*Math.pow（10，n））/Math.pow（1，n）}//-------测试--------console.log（numberRoundDecimal（-0.0246411603862896567,3））//-0.025console.log（numberRoundDecimal（0.9993360575508052,3））//0.999console.log（numberRoundDecimal（1.0020739645577939，3））//1.002console.log（numberRoundDecimal（0.975,0））//1console.log（numberRoundDecimal（0.975,1））//1console.log（numberRoundDecimal（0.975,2））//0.98console.log（numberRoundDecimal（1.005,2））//1.01

避免舍入到任意位数的二进制问题的适当方法是：

function roundToDigits(number, digits) {
  return Number(Math.round(Number(number + 'e' + digits)) + 'e-' + digits);
}

修复toFixed（）函数的一种方法是：

Number.prototype.toFixed = (prototype => {
    const toFixed = prototype.toFixed;

    // noinspection JSVoidFunctionReturnValueUsed
    return function (fractionDigits) {
        if (!fractionDigits) {
            return toFixed.call(this);
        } else {
            // Avoid binary rounding issues
            fractionDigits = Math.floor(fractionDigits);
            const n = Number(Math.round(Number(+this + 'e' + fractionDigits)) + 'e-' + fractionDigits);
            return toFixed.call(n, fractionDigits);
        }
    };
})(Number.prototype);

我仍然不认为有人给他答案，告诉他如何在需要时只进行舍入。我认为最简单的方法是检查数字中是否有小数，如下所示：

var num = 3.21;
if ( (num+"").indexOf('.') >= 0 ) { //at least assert to string first...
    // whatever code you decide to use to round
}