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我在 .js 文件中有以下代码:

$.extend(KhanUtil, {
    // takes a number and returns the sign of that number
   steveSign: function(num){
        num = parseFloat(num)
        if (num>=0){return 1}
        else{return -1}
    },

  // takes a function, a lower bound for a zero,an upper bound for a zero, and locates  
  // that zero by iteratively halving the interval.
steveRoot: function(f,xmin,xmax){
    var l = xmin
    var r = xmax
    var z = 0
    for (i=0;i<6;i++){
        z = (l + r)/2
        if (KhanUtil.steveSign(f(l)) === KhanUtil.steveSign(f(z))){ l = z}
        else{r = z}    
    }
    return z
},

});

在我的 html 文件中,我定义var f = function(x){return x**2 - 2}并运行steveRoot(f,1,2),但我的浏览器崩溃了。为什么会这样?

编辑:

我发布了我的全部代码,因为它是在评论中要求的。感谢一堆试图帮助我的家伙。奇怪的是代码运行良好,十分之九。它只是偶尔“废话”。这里有很多随机变量,但我无法想象为什么 steveRoot 会关心获得一个稍微不同的函数。当我不包含调用 steveRoot 的变量时,代码工作得很好,并且永远不会出错。

HTML 文件:

<!DOCTYPE html>
<html data-require="math graphie graphie-helpers play polynomials steveMath">
    <head>
      <title>Piecewise-defined function</title>
      <script src="../khan-exercise.js"></script>
  </head>
  <body>
      <div class="exercise">
          <div class="vars">


  <var id = "n">randRange(2,4)</var>
  <var id = "abscissas">makeXList()</var>
  <var id = "ordinates">makeYList(-9,9,abscissas.length)</var>
  <var id = "points">makeCoordinates(abscissas,ordinates)</var>
  <var id = "f">(function(x){return niceFunction(x,points)})</var>
  <var id = zeros>steveRoot(f,-10,10)</var>





          </div>

          <div class="problems">
              <div id="problem-type-or-description">
                  <p class="problem">You are going to have to answer 5</p>
                  <p class="question">Answer 5</p>
                  <div class="graphie" id="grid">
                graphInit({
                    range: 10,
                    scale: 20,
                    tickStep: 1,
                    axisArrows: "<->"
                });

            a =style({
                        stroke: "red",
                         strokeWidth: 2
                    }, function() {
                        plot( function( x ) { return niceFunction(x,points);
                        }, [ -10, 10 ] );
                    });;
            a.plot();
            </div>

                  <p class="solution">5</p>
              </div>



          </div>

          <div class="hints">
              <!-- Any hints to show to the student. -->
          </div>
      </div>
  </body>

.js 文件:

$.extend(KhanUtil, {

//randomLines is a piecewise linear function in x, where the partition points are given by    list_of_points.  
//list_of_points is an array of arrays, for example [[1,5],[2,-1],[3,4]] would indicate the points (1,5), (2,-1), and (3,4)
//are on the curve.  The points must be arranged in order of increasing abscissa.


randomLines: function(x,list_of_points)
{

    for (i=0;i<list_of_points.length-1;i++)
    {
        var x_1 = list_of_points[i][0]
        var y_1 = list_of_points[i][1]
        var x_2 = list_of_points[i+1][0]
        var y_2 = list_of_points[i+1][1]
        var m = (y_2-y_1)/(x_2-x_1)
        var y = m*(x - x_1) + y_1

        if (x > x_1 && x <= x_2){return y}
    }
    if (x<=list_of_points[0][0]){return 0}
    if (x>list_of_points[list_of_points.length-1][0]){return 0}
},

//randomLinesFunc: function(list_of_points){
//   var f = function(x){
//  return randomLines(x,list_of_points)
//  }
//  
//  return f
//},

numInt: function(f,x){
    var delta = .01
    var sum = 0
    var i = 0
    while ((delta*i-10)<=x)

        {sum = sum+delta*f(-10+i*delta)
         i++
        }
    return sum
    },

peace: function(x){return 2},

////////////////////////////////////////////////

//randRangeNZCU takes (min,max,n) and returns an array of nonzero numbers between max and min 
//with successive numbers being distinct.  For example [-1,2,-1] could show up, but [2,2,5] will not.
// NZCU stands for NonZeroConsecutiveUnique.
randRangeNZCU: function(min,max,n){
    excluded = [0]
    array = [KhanUtil.randRangeExclude(min,max,excluded)]
    for (i=1;i<n;i++){
        excluded = [0,array[i-1]]
        array.push(KhanUtil.randRangeExclude(min,max,excluded))
    }
    return array

},
// makeCoordinates takes two arrays of the same length and returns the array of ordered pairs.
// Example:  makeCoordinates([1,2,3],[4,5,6]) = [[1,4],[2,5],[3,6]]
makeCoordinates:  function(array1,array2){
    array = []
    for (i=0;i<array1.length;i++){
        array.push([array1[i],array2[i]])
    }
    return array
},

steveCubic: function(x){return -Math.pow(x,3)/2+3*x/2},

//niceFunction is a C^1 function which connects the points in "points".  It is designed to be used 
//in my "curveSketchingIntuition" exercise.  Every point in the list will have 0 slope, except the first and last point.
niceFunction: function(x,points){

    len = points.length

    var x1 = points[0][0]
    var x2 = points[1][0]
    var y1 = points[0][1]
    var y2 = points[1][1]
    var k = (y1 - y2)/Math.pow(x1-x2,2)

    if (x<x2){return k*Math.pow(x-x2,2)+y2}

    for (i=1;i<len-2;i++){
        var x1 = points[i][0]
        var x2 = points[i+1][0]
        var y1 = points[i][1]
        var y2 = points[i+1][1]

        xNew = (x-x1)*2/(x2-x1)-1
        yNew = (KhanUtil.steveCubic(xNew)+1)*(y2-y1)/2+y1
        if (x>=x1 && x<x2){return yNew}

        }


    var x1 = points[len-2][0]
    var x2 = points[len-1][0]
    var y1 = points[len-2][1]
    var y2 = points[len-1][1]
    var k = (y2 - y1)/Math.pow(x1-x2,2)
    if (x>=x1){return k*Math.pow(x-x1,2)+y1}

},

makeXList: function(){
array = [-10]
i=0
while(array[i]<10){
    x = array[i]+3*KhanUtil.randRange(1,3)
    if (x<10){array.push(x)}
    i=i+1
    }
array.push(10)
return array

},

makeYList:function(min,max,n){
    excluded = [0]
    array = [KhanUtil.randRangeExclude(min,max,excluded)]
    excluded.push(array[0])
    array.push[KhanUtil.randRangeExclude(min,max,excluded)]
    excluded = [0]
    for (i=1;i<n;i++){
        if (array[i-2]<array[i-1]){
            array.push(KhanUtil.randRangeExclude(min,array[i-1]-1,excluded))
            }
        else{array.push(KhanUtil.randRangeExclude(array[i-1]+1,max,excluded))}
        }

    return array

},

newtonRoot: function(f,a){
    var z = a
    var m = (f(z+.01)-f(z-.01))/.02
    for(i=0;i<2;i++){
        z = z-f(z)/m
        m = (f(z+.01)-f(z-.01))/.02
    }
    return z
},

steveSign: function(num){
    num = parseFloat(num)
    if (num>=0){return 1}
    else{return -1}
},

steveRoot: function(f,xmin,xmax){
    var l = xmin
    var r = xmax
    var z = 0
    for (i=0;i<6;i++){
        z = (l + r)/2
        if (KhanUtil.steveSign(f(l)) === KhanUtil.steveSign(f(z))){ l = z}
        else{r = z}    
    }
    return z
},

locateZeros: function(f,points){
    var len = points.length
    var list = []

    for(i=0;i<len-1;i++){
       var x0 = points[i][0]
       var x1 = points[i+1][0]
       var y0 = points[i][1]
       var y1 = points[i+1][1]
      // var m = (y1-y0)/(x1-x0)
      // var a = -y0/m+x0
      // var z = KhanUtil.steveRoot(f,1,2)
       list.push(KhanUtil.steveSign(f(x0)))

    }
    return list
},

});

4

1 回答 1

1
  1. 在 javascriptx**2中无效。( SyntaxError: Unexpected token *)

  2. 您需要运行的KhanUtil.steveRoot(f,1,2);不仅仅是steveRoot(f,1,2);.

于 2012-08-14T08:05:22.187 回答